Details

analyze1.1s (3.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
6.2%	93.6%	0.1%	7
9.4%	90.5%	0.1%	8
14%	85.8%	0.1%	9
21.1%	78.8%	0.1%	10
24.6%	75.3%	0.1%	11
28.7%	71.2%	0.1%	12

Compiler

Compiled 41 to 30 computations (26.8% saved)

sample2.1s (6.7%)

Results

2.1s	8256×	body	256	valid
1.0ms	6×	body	256	invalid

preprocess58.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

803×	`fma-def_binary64`
686×	`distribute-rgt-in_binary64`
682×	`distribute-lft-in_binary64`
609×	`associate-l_binary64`
407×	`associate-r_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	164
1	183	164
2	492	164
3	1873	164
4	6141	164
0	3	3

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

Inputs
(/.f64 (.f64 (-.f64 x 2) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x 104109730557/25000000000) 393497462077/5000000000) x) 4297481763/31250000) x) y) x) z)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 x 216700011257/5000000000) x) 263505074721/1000000000) x) 156699607947/500000000) x) 23533438303/500000000))
(/.f64 (.f64 (-.f64 y 2) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 y 104109730557/25000000000) 393497462077/5000000000) y) 4297481763/31250000) y) x) y) z)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 y 216700011257/5000000000) y) 263505074721/1000000000) y) 156699607947/500000000) y) 23533438303/500000000))
(/.f64 (.f64 (-.f64 z 2) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 z 104109730557/25000000000) 393497462077/5000000000) z) 4297481763/31250000) z) y) z) x)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 z 216700011257/5000000000) z) 263505074721/1000000000) z) 156699607947/500000000) z) 23533438303/500000000))
(/.f64 (.f64 (-.f64 x 2) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x 104109730557/25000000000) 393497462077/5000000000) x) 4297481763/31250000) x) z) x) y)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 x 216700011257/5000000000) x) 263505074721/1000000000) x) 156699607947/500000000) x) 23533438303/500000000))

Outputs
(/.f64 (.f64 (-.f64 x 2) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x 104109730557/25000000000) 393497462077/5000000000) x) 4297481763/31250000) x) y) x) z)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 x 216700011257/5000000000) x) 263505074721/1000000000) x) 156699607947/500000000) x) 23533438303/500000000))
(/.f64 (+.f64 x -2) (/.f64 (fma.f64 (fma.f64 (fma.f64 (+.f64 x 216700011257/5000000000) x 263505074721/1000000000) x 156699607947/500000000) x 23533438303/500000000) (fma.f64 (fma.f64 (fma.f64 (fma.f64 x 104109730557/25000000000 393497462077/5000000000) x 4297481763/31250000) x y) x z)))
(*.f64 (/.f64 (+.f64 x -2) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z))
(*.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z) (/.f64 (+.f64 x -2) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))
(/.f64 (.f64 (-.f64 y 2) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 y 104109730557/25000000000) 393497462077/5000000000) y) 4297481763/31250000) y) x) y) z)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 y 216700011257/5000000000) y) 263505074721/1000000000) y) 156699607947/500000000) y) 23533438303/500000000))
(/.f64 (*.f64 (+.f64 y -2) (fma.f64 (fma.f64 (fma.f64 (fma.f64 y 104109730557/25000000000 393497462077/5000000000) y 4297481763/31250000) y x) y z)) (fma.f64 (fma.f64 (fma.f64 (+.f64 y 216700011257/5000000000) y 263505074721/1000000000) y 156699607947/500000000) y 23533438303/500000000))
(*.f64 (/.f64 (+.f64 y -2) (fma.f64 y (fma.f64 y (fma.f64 y (+.f64 y 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (fma.f64 y (fma.f64 y (fma.f64 y (fma.f64 104109730557/25000000000 y 393497462077/5000000000) 4297481763/31250000) x) z))
(*.f64 (fma.f64 y (fma.f64 y (fma.f64 y (fma.f64 104109730557/25000000000 y 393497462077/5000000000) 4297481763/31250000) x) z) (/.f64 (+.f64 y -2) (fma.f64 y (fma.f64 y (fma.f64 y (+.f64 y 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))
(*.f64 (+.f64 y -2) (/.f64 (fma.f64 y (fma.f64 y (fma.f64 y (fma.f64 104109730557/25000000000 y 393497462077/5000000000) 4297481763/31250000) x) z) (fma.f64 y (fma.f64 y (fma.f64 y (+.f64 y 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))
(/.f64 (.f64 (-.f64 z 2) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 z 104109730557/25000000000) 393497462077/5000000000) z) 4297481763/31250000) z) y) z) x)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 z 216700011257/5000000000) z) 263505074721/1000000000) z) 156699607947/500000000) z) 23533438303/500000000))
(/.f64 (*.f64 (+.f64 z -2) (fma.f64 (fma.f64 (fma.f64 (fma.f64 z 104109730557/25000000000 393497462077/5000000000) z 4297481763/31250000) z y) z x)) (fma.f64 (fma.f64 (fma.f64 (+.f64 z 216700011257/5000000000) z 263505074721/1000000000) z 156699607947/500000000) z 23533438303/500000000))
(*.f64 (/.f64 (+.f64 z -2) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 104109730557/25000000000 z 393497462077/5000000000) 4297481763/31250000) y) x))
(*.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 104109730557/25000000000 z 393497462077/5000000000) 4297481763/31250000) y) x) (/.f64 (+.f64 z -2) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))
(/.f64 (.f64 (-.f64 x 2) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x 104109730557/25000000000) 393497462077/5000000000) x) 4297481763/31250000) x) z) x) y)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 x 216700011257/5000000000) x) 263505074721/1000000000) x) 156699607947/500000000) x) 23533438303/500000000))
(/.f64 (+.f64 x -2) (/.f64 (fma.f64 (fma.f64 (fma.f64 (+.f64 x 216700011257/5000000000) x 263505074721/1000000000) x 156699607947/500000000) x 23533438303/500000000) (fma.f64 (fma.f64 (fma.f64 (fma.f64 x 104109730557/25000000000 393497462077/5000000000) x 4297481763/31250000) x z) x y)))
(*.f64 (/.f64 (+.f64 x -2) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) z) y))
(*.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) z) y) (/.f64 (+.f64 x -2) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))

Compiler

Compiled 43 to 32 computations (25.6% saved)

simplify50.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

744×	`associate-+l+_binary64`
706×	`distribute-rgt-in_binary64`
700×	`distribute-lft-in_binary64`
670×	`associate-+r+_binary64`
306×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	41
1	64	41
2	157	41
3	559	41
4	1765	41
5	7013	41

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs

(/.f64 (*.f64 (-.f64 x 2) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 x 104109730557/25000000000) 393497462077/5000000000) x) 4297481763/31250000) x) y) x) z)) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 x 216700011257/5000000000) x) 263505074721/1000000000) x) 156699607947/500000000) x) 23533438303/500000000))

Outputs
(/.f64 (.f64 (-.f64 x 2) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x 104109730557/25000000000) 393497462077/5000000000) x) 4297481763/31250000) x) y) x) z)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 x 216700011257/5000000000) x) 263505074721/1000000000) x) 156699607947/500000000) x) 23533438303/500000000))
(/.f64 (+.f64 x -2) (/.f64 (fma.f64 (fma.f64 (fma.f64 (+.f64 x 216700011257/5000000000) x 263505074721/1000000000) x 156699607947/500000000) x 23533438303/500000000) (fma.f64 (fma.f64 (fma.f64 (fma.f64 x 104109730557/25000000000 393497462077/5000000000) x 4297481763/31250000) x y) x z)))
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) (+.f64 x -2)))
(*.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z) (/.f64 (+.f64 x -2) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))
(*.f64 (+.f64 x -2) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))

eval1.0ms (0%)

Compiler: Compiled 70 to 48 computations (31.4% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

25.6b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	25.7b	(*.f64 (+.f64 x -2) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))
▶	27.4b	(/.f64 (.f64 (-.f64 x 2) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x 104109730557/25000000000) 393497462077/5000000000) x) 4297481763/31250000) x) y) x) z)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 x 216700011257/5000000000) x) 263505074721/1000000000) x) 156699607947/500000000) x) 23533438303/500000000))

Status

Error

Program

▶

25.7b

(*.f64 (+.f64 x -2) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))

▶

27.4b

(/.f64 (*.f64 (-.f64 x 2) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 x 104109730557/25000000000) 393497462077/5000000000) x) 4297481763/31250000) x) y) x) z)) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 x 216700011257/5000000000) x) 263505074721/1000000000) x) 156699607947/500000000) x) 23533438303/500000000))

Compiler

Compiled 73 to 51 computations (30.1% saved)

localize59.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y)
✓	0.3b	(*.f64 (+.f64 x -2) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))
✓	0.3b	(fma.f64 x 104109730557/25000000000 393497462077/5000000000)
✓	24.8b	(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))

Compiler

Compiled 137 to 89 computations (35% saved)

series27.0ms (0.1%)

Counts

4 → 108

Calls

27 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(*.f64 (+.f64 x -2) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))
2.0ms	y	@	0	(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))
2.0ms	x	@	inf	(*.f64 (+.f64 x -2) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))
2.0ms	x	@	0	(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))
1.0ms	z	@	0	(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))

rewrite133.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

440×	`expm1-udef_binary64`
440×	`log1p-udef_binary64`
290×	`prod-diff_binary64`
248×	`add-sqr-sqrt_binary64`
234×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	94
1	500	94
2	6123	94

Stop Event

1×	node limit

Counts

4 → 123

Calls

Call 1

Inputs
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))
(fma.f64 x 104109730557/25000000000 393497462077/5000000000)
(*.f64 (+.f64 x -2) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))
(fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z) (/.f64 1 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 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23533438303/500000000))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))) (sqrt.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z)) (.f64 (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z)) (/.f64 1 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z)) (/.f64 1 (neg.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z)) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z)) 1) (/.f64 (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z)) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) 2)) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z) (cbrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z)) 2) (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) 2)) (cbrt.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z)) (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) 2)) (/.f64 (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z)) (cbrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z) (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z)) 2) (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))) (/.f64 (cbrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z)) (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z) (neg.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z) 3) (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 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1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 x -2) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 x -2) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 x -2) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))) (+.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x -2) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 x -2) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) 3) (pow.f64 (+.f64 x -2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (+.f64 x -2) 3) (pow.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 x -2) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 x -2) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 x -2) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x -2) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 y (.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000)) y)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000)) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y)) (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y)) 2) (cbrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y)) (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000)) 3) (pow.f64 y 3)) (+.f64 (.f64 (.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000)) (.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000))) (-.f64 (.f64 y y) (.f64 (.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000)) (.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000))) (.f64 y y)) (-.f64 (.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000)) y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y)) 1))))))

simplify149.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

605×	`fma-def_binary64`
470×	`cancel-sign-sub-inv_binary64`
296×	`associate-+l+_binary64`
284×	`distribute-rgt-in_binary64`
282×	`sub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	180	4493
1	479	3870
2	1359	3624
3	5476	3351

Stop Event

1×	node limit

Counts

231 → 201

Calls

Call 1

Inputs
(*.f64 500000000/23533438303 z)
(+.f64 (.f64 500000000/23533438303 z) (.f64 (-.f64 (.f64 500000000/23533438303 y) (.f64 78349803973500000000/553822718361107519809 z)) x))
(+.f64 (.f64 (-.f64 68759708208/23533438303 (+.f64 (.f64 156699607947/23533438303 (-.f64 (.f64 500000000/23533438303 y) (.f64 78349803973500000000/553822718361107519809 z))) (.f64 65876268680250000000/553822718361107519809 z))) (pow.f64 x 2)) (+.f64 (.f64 500000000/23533438303 z) (.f64 (-.f64 (.f64 500000000/23533438303 y) (*.f64 78349803973500000000/553822718361107519809 z)) x)))
(+.f64 (.f64 (-.f64 393497462077/235334383030 (+.f64 (.f64 263505074721/47066876606 (-.f64 (.f64 500000000/23533438303 y) (.f64 78349803973500000000/553822718361107519809 z))) (+.f64 (.f64 156699607947/23533438303 (-.f64 68759708208/23533438303 (+.f64 (.f64 156699607947/23533438303 (-.f64 (.f64 500000000/23533438303 y) (.f64 78349803973500000000/553822718361107519809 z))) (.f64 65876268680250000000/553822718361107519809 z)))) (.f64 10835000562850000000/553822718361107519809 z)))) (pow.f64 x 3)) (+.f64 (.f64 (-.f64 68759708208/23533438303 (+.f64 (.f64 156699607947/23533438303 (-.f64 (.f64 500000000/23533438303 y) (.f64 78349803973500000000/553822718361107519809 z))) (.f64 65876268680250000000/553822718361107519809 z))) (pow.f64 x 2)) (+.f64 (.f64 500000000/23533438303 z) (.f64 (-.f64 (.f64 500000000/23533438303 y) (*.f64 78349803973500000000/553822718361107519809 z)) x))))
104109730557/25000000000
(-.f64 104109730557/25000000000 (*.f64 12723143231740136880149/125000000000000000000 (/.f64 1 x)))
(-.f64 (+.f64 104109730557/25000000000 (.f64 2157218858562374472887084159837293/625000000000000000000000000000 (/.f64 1 (pow.f64 x 2)))) (.f64 12723143231740136880149/125000000000000000000 (/.f64 1 x)))
(-.f64 (+.f64 104109730557/25000000000 (+.f64 (/.f64 y (pow.f64 x 3)) (.f64 2157218858562374472887084159837293/625000000000000000000000000000 (/.f64 1 (pow.f64 x 2))))) (+.f64 (.f64 203283507039738218890626112978321174895477287026688/1638400000000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 3))) (*.f64 12723143231740136880149/125000000000000000000 (/.f64 1 x))))
104109730557/25000000000
(-.f64 104109730557/25000000000 (*.f64 12723143231740136880149/125000000000000000000 (/.f64 1 x)))
(-.f64 (+.f64 104109730557/25000000000 (.f64 2157218858562374472887084159837293/625000000000000000000000000000 (/.f64 1 (pow.f64 x 2)))) (.f64 12723143231740136880149/125000000000000000000 (/.f64 1 x)))
(-.f64 (+.f64 104109730557/25000000000 (+.f64 (.f64 2157218858562374472887084159837293/625000000000000000000000000000 (/.f64 1 (pow.f64 x 2))) (.f64 -1 (/.f64 (+.f64 203283507039738218890626112978321174895477287026688/1638400000000000000000000000000000000000000000 (.f64 -1 y)) (pow.f64 x 3))))) (.f64 12723143231740136880149/125000000000000000000 (/.f64 1 x)))
(/.f64 (+.f64 (.f64 (+.f64 4297481763/31250000 (.f64 (+.f64 393497462077/5000000000 (.f64 104109730557/25000000000 x)) x)) (pow.f64 x 2)) z) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000))
(+.f64 (/.f64 (.f64 y x) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) (+.f64 (/.f64 (.f64 (+.f64 4297481763/31250000 (.f64 (+.f64 393497462077/5000000000 (.f64 104109730557/25000000000 x)) x)) (pow.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) (/.f64 z (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000))))
(+.f64 (/.f64 (.f64 y x) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) (+.f64 (/.f64 (.f64 (+.f64 4297481763/31250000 (.f64 (+.f64 393497462077/5000000000 (.f64 104109730557/25000000000 x)) x)) (pow.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) (/.f64 z (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000))))
(+.f64 (/.f64 (.f64 y x) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) (+.f64 (/.f64 (.f64 (+.f64 4297481763/31250000 (.f64 (+.f64 393497462077/5000000000 (.f64 104109730557/25000000000 x)) x)) (pow.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) (/.f64 z (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000))))
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(/.f64 (.f64 (+.f64 (.f64 (+.f64 4297481763/31250000 (.f64 (+.f64 393497462077/5000000000 (.f64 104109730557/25000000000 x)) x)) x) y) (.f64 x (-.f64 x 2))) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000))
(+.f64 (.f64 z (-.f64 (/.f64 x (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) (.f64 2 (/.f64 1 (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000))))) (/.f64 (.f64 (+.f64 (.f64 (+.f64 4297481763/31250000 (.f64 (+.f64 393497462077/5000000000 (.f64 104109730557/25000000000 x)) x)) x) y) (.f64 (-.f64 x 2) x)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)))
(+.f64 (.f64 z (-.f64 (/.f64 x (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) (.f64 2 (/.f64 1 (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000))))) (/.f64 (.f64 (+.f64 (.f64 (+.f64 4297481763/31250000 (.f64 (+.f64 393497462077/5000000000 (.f64 104109730557/25000000000 x)) x)) x) y) (.f64 (-.f64 x 2) x)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)))
(+.f64 (.f64 z (-.f64 (/.f64 x (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) (.f64 2 (/.f64 1 (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000))))) (/.f64 (.f64 (+.f64 (.f64 (+.f64 4297481763/31250000 (.f64 (+.f64 393497462077/5000000000 (.f64 104109730557/25000000000 x)) x)) x) y) (.f64 (-.f64 x 2) x)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)))
(/.f64 (.f64 z (-.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000))
(+.f64 (/.f64 (.f64 z (-.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) (/.f64 (.f64 (+.f64 (.f64 (+.f64 4297481763/31250000 (.f64 (+.f64 393497462077/5000000000 (.f64 104109730557/25000000000 x)) x)) x) y) (.f64 x (-.f64 x 2))) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)))
(+.f64 (/.f64 (.f64 z (-.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) (/.f64 (.f64 (+.f64 (.f64 (+.f64 4297481763/31250000 (.f64 (+.f64 393497462077/5000000000 (.f64 104109730557/25000000000 x)) x)) x) y) (.f64 x (-.f64 x 2))) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)))
(+.f64 (/.f64 (.f64 z (-.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) (/.f64 (.f64 (+.f64 (.f64 (+.f64 4297481763/31250000 (.f64 (+.f64 393497462077/5000000000 (.f64 104109730557/25000000000 x)) x)) x) y) (.f64 x (-.f64 x 2))) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)))
(/.f64 (.f64 z (-.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000))
(+.f64 (/.f64 (.f64 z (-.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) (/.f64 (.f64 (+.f64 (.f64 (+.f64 4297481763/31250000 (.f64 (+.f64 393497462077/5000000000 (.f64 104109730557/25000000000 x)) x)) x) y) (.f64 x (-.f64 x 2))) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)))
(+.f64 (/.f64 (.f64 z (-.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) (/.f64 (.f64 (+.f64 (.f64 (+.f64 4297481763/31250000 (.f64 (+.f64 393497462077/5000000000 (.f64 104109730557/25000000000 x)) x)) x) y) (.f64 x (-.f64 x 2))) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)))
(+.f64 (/.f64 (.f64 z (-.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) (/.f64 (.f64 (+.f64 (.f64 (+.f64 4297481763/31250000 (.f64 (+.f64 393497462077/5000000000 (.f64 104109730557/25000000000 x)) x)) x) y) (.f64 x (-.f64 x 2))) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)))
y
(+.f64 (*.f64 4297481763/31250000 x) y)
(+.f64 (.f64 4297481763/31250000 x) (+.f64 y (.f64 393497462077/5000000000 (pow.f64 x 2))))
(+.f64 (.f64 4297481763/31250000 x) (+.f64 y (+.f64 (.f64 104109730557/25000000000 (pow.f64 x 3)) (*.f64 393497462077/5000000000 (pow.f64 x 2)))))
(*.f64 104109730557/25000000000 (pow.f64 x 3))
(+.f64 (.f64 104109730557/25000000000 (pow.f64 x 3)) (.f64 393497462077/5000000000 (pow.f64 x 2)))
(+.f64 (.f64 4297481763/31250000 x) (+.f64 (.f64 104109730557/25000000000 (pow.f64 x 3)) (*.f64 393497462077/5000000000 (pow.f64 x 2))))
(+.f64 (.f64 4297481763/31250000 x) (+.f64 y (+.f64 (.f64 104109730557/25000000000 (pow.f64 x 3)) (*.f64 393497462077/5000000000 (pow.f64 x 2)))))
(*.f64 104109730557/25000000000 (pow.f64 x 3))
(+.f64 (.f64 104109730557/25000000000 (pow.f64 x 3)) (.f64 393497462077/5000000000 (pow.f64 x 2)))
(+.f64 (.f64 4297481763/31250000 x) (+.f64 (.f64 104109730557/25000000000 (pow.f64 x 3)) (*.f64 393497462077/5000000000 (pow.f64 x 2))))
(+.f64 (.f64 4297481763/31250000 x) (+.f64 y (+.f64 (.f64 104109730557/25000000000 (pow.f64 x 3)) (*.f64 393497462077/5000000000 (pow.f64 x 2)))))
(.f64 (+.f64 4297481763/31250000 (.f64 (+.f64 393497462077/5000000000 (*.f64 104109730557/25000000000 x)) x)) x)
(+.f64 (.f64 (+.f64 4297481763/31250000 (.f64 (+.f64 393497462077/5000000000 (*.f64 104109730557/25000000000 x)) x)) x) y)
(+.f64 (.f64 (+.f64 4297481763/31250000 (.f64 (+.f64 393497462077/5000000000 (*.f64 104109730557/25000000000 x)) x)) x) y)
(+.f64 (.f64 (+.f64 4297481763/31250000 (.f64 (+.f64 393497462077/5000000000 (*.f64 104109730557/25000000000 x)) x)) x) y)
y
(+.f64 (.f64 (+.f64 4297481763/31250000 (.f64 (+.f64 393497462077/5000000000 (*.f64 104109730557/25000000000 x)) x)) x) y)
(+.f64 (.f64 (+.f64 4297481763/31250000 (.f64 (+.f64 393497462077/5000000000 (*.f64 104109730557/25000000000 x)) x)) x) y)
(+.f64 (.f64 (+.f64 4297481763/31250000 (.f64 (+.f64 393497462077/5000000000 (*.f64 104109730557/25000000000 x)) x)) x) y)
y
(+.f64 (.f64 (+.f64 4297481763/31250000 (.f64 (+.f64 393497462077/5000000000 (*.f64 104109730557/25000000000 x)) x)) x) y)
(+.f64 (.f64 (+.f64 4297481763/31250000 (.f64 (+.f64 393497462077/5000000000 (*.f64 104109730557/25000000000 x)) x)) x) y)
(+.f64 (.f64 (+.f64 4297481763/31250000 (.f64 (+.f64 393497462077/5000000000 (*.f64 104109730557/25000000000 x)) x)) x) y)

Outputs
(*.f64 500000000/23533438303 z)
(+.f64 (.f64 500000000/23533438303 z) (.f64 (-.f64 (.f64 500000000/23533438303 y) (.f64 78349803973500000000/553822718361107519809 z)) x))
(fma.f64 500000000/23533438303 z (.f64 (-.f64 (.f64 500000000/23533438303 y) (*.f64 z 78349803973500000000/553822718361107519809)) x))
(fma.f64 500000000/23533438303 z (.f64 (fma.f64 500000000/23533438303 y (.f64 z -78349803973500000000/553822718361107519809)) x))
(+.f64 (.f64 (-.f64 68759708208/23533438303 (+.f64 (.f64 156699607947/23533438303 (-.f64 (.f64 500000000/23533438303 y) (.f64 78349803973500000000/553822718361107519809 z))) (.f64 65876268680250000000/553822718361107519809 z))) (pow.f64 x 2)) (+.f64 (.f64 500000000/23533438303 z) (.f64 (-.f64 (.f64 500000000/23533438303 y) (*.f64 78349803973500000000/553822718361107519809 z)) x)))
(fma.f64 (-.f64 68759708208/23533438303 (fma.f64 156699607947/23533438303 (-.f64 (.f64 500000000/23533438303 y) (.f64 z 78349803973500000000/553822718361107519809)) (.f64 z 65876268680250000000/553822718361107519809))) (.f64 x x) (fma.f64 500000000/23533438303 z (.f64 (-.f64 (.f64 500000000/23533438303 y) (*.f64 z 78349803973500000000/553822718361107519809)) x)))
(fma.f64 (-.f64 68759708208/23533438303 (fma.f64 (fma.f64 500000000/23533438303 y (.f64 z -78349803973500000000/553822718361107519809)) 156699607947/23533438303 (.f64 z 65876268680250000000/553822718361107519809))) (.f64 x x) (fma.f64 500000000/23533438303 z (.f64 (fma.f64 500000000/23533438303 y (*.f64 z -78349803973500000000/553822718361107519809)) x)))
(fma.f64 500000000/23533438303 z (.f64 x (+.f64 (fma.f64 500000000/23533438303 y (.f64 z -78349803973500000000/553822718361107519809)) (.f64 x (-.f64 68759708208/23533438303 (fma.f64 z 65876268680250000000/553822718361107519809 (+.f64 (.f64 y 78349803973500000000/553822718361107519809) (*.f64 z -12277383565371752777404500000000/13033352773350869092174451844127))))))))
(fma.f64 500000000/23533438303 z (.f64 x (+.f64 (fma.f64 500000000/23533438303 y (.f64 z -78349803973500000000/553822718361107519809)) (.f64 x (-.f64 68759708208/23533438303 (+.f64 (.f64 y 78349803973500000000/553822718361107519809) (*.f64 z -10727088460753238167788750000000/13033352773350869092174451844127)))))))
(+.f64 (.f64 (-.f64 393497462077/235334383030 (+.f64 (.f64 263505074721/47066876606 (-.f64 (.f64 500000000/23533438303 y) (.f64 78349803973500000000/553822718361107519809 z))) (+.f64 (.f64 156699607947/23533438303 (-.f64 68759708208/23533438303 (+.f64 (.f64 156699607947/23533438303 (-.f64 (.f64 500000000/23533438303 y) (.f64 78349803973500000000/553822718361107519809 z))) (.f64 65876268680250000000/553822718361107519809 z)))) (.f64 10835000562850000000/553822718361107519809 z)))) (pow.f64 x 3)) (+.f64 (.f64 (-.f64 68759708208/23533438303 (+.f64 (.f64 156699607947/23533438303 (-.f64 (.f64 500000000/23533438303 y) (.f64 78349803973500000000/553822718361107519809 z))) (.f64 65876268680250000000/553822718361107519809 z))) (pow.f64 x 2)) (+.f64 (.f64 500000000/23533438303 z) (.f64 (-.f64 (.f64 500000000/23533438303 y) (*.f64 78349803973500000000/553822718361107519809 z)) x))))
(fma.f64 (-.f64 393497462077/235334383030 (fma.f64 263505074721/47066876606 (-.f64 (.f64 500000000/23533438303 y) (.f64 z 78349803973500000000/553822718361107519809)) (fma.f64 156699607947/23533438303 (-.f64 68759708208/23533438303 (fma.f64 156699607947/23533438303 (-.f64 (.f64 500000000/23533438303 y) (.f64 z 78349803973500000000/553822718361107519809)) (.f64 z 65876268680250000000/553822718361107519809))) (.f64 z 10835000562850000000/553822718361107519809)))) (pow.f64 x 3) (fma.f64 (-.f64 68759708208/23533438303 (fma.f64 156699607947/23533438303 (-.f64 (.f64 500000000/23533438303 y) (.f64 z 78349803973500000000/553822718361107519809)) (.f64 z 65876268680250000000/553822718361107519809))) (.f64 x x) (fma.f64 500000000/23533438303 z (.f64 (-.f64 (.f64 500000000/23533438303 y) (*.f64 z 78349803973500000000/553822718361107519809)) x))))
(fma.f64 (-.f64 393497462077/235334383030 (fma.f64 (fma.f64 500000000/23533438303 y (.f64 z -78349803973500000000/553822718361107519809)) 263505074721/47066876606 (fma.f64 156699607947/23533438303 (-.f64 68759708208/23533438303 (fma.f64 (fma.f64 500000000/23533438303 y (.f64 z -78349803973500000000/553822718361107519809)) 156699607947/23533438303 (.f64 z 65876268680250000000/553822718361107519809))) (.f64 z 10835000562850000000/553822718361107519809)))) (pow.f64 x 3) (fma.f64 (-.f64 68759708208/23533438303 (fma.f64 (fma.f64 500000000/23533438303 y (.f64 z -78349803973500000000/553822718361107519809)) 156699607947/23533438303 (.f64 z 65876268680250000000/553822718361107519809))) (.f64 x x) (fma.f64 500000000/23533438303 z (.f64 (fma.f64 500000000/23533438303 y (*.f64 z -78349803973500000000/553822718361107519809)) x))))
(fma.f64 (-.f64 393497462077/235334383030 (fma.f64 z 10835000562850000000/553822718361107519809 (fma.f64 156699607947/23533438303 (-.f64 68759708208/23533438303 (fma.f64 z 65876268680250000000/553822718361107519809 (+.f64 (.f64 y 78349803973500000000/553822718361107519809) (.f64 z -12277383565371752777404500000000/13033352773350869092174451844127)))) (+.f64 (.f64 y 65876268680250000000/553822718361107519809) (.f64 z -10322785475206410101946750000000/13033352773350869092174451844127))))) (pow.f64 x 3) (fma.f64 500000000/23533438303 z (.f64 x (+.f64 (fma.f64 500000000/23533438303 y (.f64 z -78349803973500000000/553822718361107519809)) (.f64 x (-.f64 68759708208/23533438303 (fma.f64 z 65876268680250000000/553822718361107519809 (+.f64 (.f64 y 78349803973500000000/553822718361107519809) (*.f64 z -12277383565371752777404500000000/13033352773350869092174451844127)))))))))
(fma.f64 (-.f64 393497462077/235334383030 (fma.f64 156699607947/23533438303 (-.f64 68759708208/23533438303 (+.f64 (.f64 y 78349803973500000000/553822718361107519809) (.f64 z -10727088460753238167788750000000/13033352773350869092174451844127))) (+.f64 (.f64 y 65876268680250000000/553822718361107519809) (.f64 z -10067800657947609353103200000000/13033352773350869092174451844127)))) (pow.f64 x 3) (fma.f64 500000000/23533438303 z (.f64 x (+.f64 (fma.f64 500000000/23533438303 y (.f64 z -78349803973500000000/553822718361107519809)) (.f64 x (-.f64 68759708208/23533438303 (+.f64 (.f64 y 78349803973500000000/553822718361107519809) (*.f64 z -10727088460753238167788750000000/13033352773350869092174451844127))))))))
104109730557/25000000000
(-.f64 104109730557/25000000000 (*.f64 12723143231740136880149/125000000000000000000 (/.f64 1 x)))
(-.f64 104109730557/25000000000 (/.f64 12723143231740136880149/125000000000000000000 x))
(+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x))
(-.f64 (+.f64 104109730557/25000000000 (.f64 2157218858562374472887084159837293/625000000000000000000000000000 (/.f64 1 (pow.f64 x 2)))) (.f64 12723143231740136880149/125000000000000000000 (/.f64 1 x)))
(-.f64 (+.f64 104109730557/25000000000 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (*.f64 x x))) (/.f64 12723143231740136880149/125000000000000000000 x))
(+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (*.f64 x x)) (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)))
(+.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (*.f64 x x)))
(-.f64 (+.f64 104109730557/25000000000 (+.f64 (/.f64 y (pow.f64 x 3)) (.f64 2157218858562374472887084159837293/625000000000000000000000000000 (/.f64 1 (pow.f64 x 2))))) (+.f64 (.f64 203283507039738218890626112978321174895477287026688/1638400000000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 3))) (*.f64 12723143231740136880149/125000000000000000000 (/.f64 1 x))))
(-.f64 (+.f64 104109730557/25000000000 (+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (*.f64 x x)) (/.f64 y (pow.f64 x 3)))) (+.f64 (/.f64 12723143231740136880149/125000000000000000000 x) (/.f64 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 (pow.f64 x 3))))
(+.f64 (-.f64 (+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (*.f64 x x)) (+.f64 104109730557/25000000000 (/.f64 y (pow.f64 x 3)))) (/.f64 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 (pow.f64 x 3))) (/.f64 -12723143231740136880149/125000000000000000000 x))
(+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (*.f64 x x)) (+.f64 (/.f64 y (pow.f64 x 3)) (+.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (/.f64 -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 (pow.f64 x 3)))))
(+.f64 (/.f64 y (pow.f64 x 3)) (+.f64 104109730557/25000000000 (+.f64 (+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (*.f64 x x)) (/.f64 -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 (pow.f64 x 3))) (/.f64 -12723143231740136880149/125000000000000000000 x))))
104109730557/25000000000
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(+.f64 (.f64 (+.f64 4297481763/31250000 (.f64 (+.f64 393497462077/5000000000 (*.f64 104109730557/25000000000 x)) x)) x) y)
(+.f64 (fma.f64 4297481763/31250000 x y) (fma.f64 104109730557/25000000000 (pow.f64 x 3) (.f64 (.f64 x x) 393497462077/5000000000)))
(+.f64 (fma.f64 x 4297481763/31250000 y) (fma.f64 (pow.f64 x 3) 104109730557/25000000000 (.f64 (.f64 x x) 393497462077/5000000000)))
(fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y)
(+.f64 (.f64 (+.f64 4297481763/31250000 (.f64 (+.f64 393497462077/5000000000 (*.f64 104109730557/25000000000 x)) x)) x) y)
(+.f64 (fma.f64 4297481763/31250000 x y) (fma.f64 104109730557/25000000000 (pow.f64 x 3) (.f64 (.f64 x x) 393497462077/5000000000)))
(+.f64 (fma.f64 x 4297481763/31250000 y) (fma.f64 (pow.f64 x 3) 104109730557/25000000000 (.f64 (.f64 x x) 393497462077/5000000000)))
(fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y)
y
(+.f64 (.f64 (+.f64 4297481763/31250000 (.f64 (+.f64 393497462077/5000000000 (*.f64 104109730557/25000000000 x)) x)) x) y)
(+.f64 (fma.f64 4297481763/31250000 x y) (fma.f64 104109730557/25000000000 (pow.f64 x 3) (.f64 (.f64 x x) 393497462077/5000000000)))
(+.f64 (fma.f64 x 4297481763/31250000 y) (fma.f64 (pow.f64 x 3) 104109730557/25000000000 (.f64 (.f64 x x) 393497462077/5000000000)))
(fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y)
(+.f64 (.f64 (+.f64 4297481763/31250000 (.f64 (+.f64 393497462077/5000000000 (*.f64 104109730557/25000000000 x)) x)) x) y)
(+.f64 (fma.f64 4297481763/31250000 x y) (fma.f64 104109730557/25000000000 (pow.f64 x 3) (.f64 (.f64 x x) 393497462077/5000000000)))
(+.f64 (fma.f64 x 4297481763/31250000 y) (fma.f64 (pow.f64 x 3) 104109730557/25000000000 (.f64 (.f64 x x) 393497462077/5000000000)))
(fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y)
(+.f64 (.f64 (+.f64 4297481763/31250000 (.f64 (+.f64 393497462077/5000000000 (*.f64 104109730557/25000000000 x)) x)) x) y)
(+.f64 (fma.f64 4297481763/31250000 x y) (fma.f64 104109730557/25000000000 (pow.f64 x 3) (.f64 (.f64 x x) 393497462077/5000000000)))
(+.f64 (fma.f64 x 4297481763/31250000 y) (fma.f64 (pow.f64 x 3) 104109730557/25000000000 (.f64 (.f64 x x) 393497462077/5000000000)))
(fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y)
y
(+.f64 (.f64 (+.f64 4297481763/31250000 (.f64 (+.f64 393497462077/5000000000 (*.f64 104109730557/25000000000 x)) x)) x) y)
(+.f64 (fma.f64 4297481763/31250000 x y) (fma.f64 104109730557/25000000000 (pow.f64 x 3) (.f64 (.f64 x x) 393497462077/5000000000)))
(+.f64 (fma.f64 x 4297481763/31250000 y) (fma.f64 (pow.f64 x 3) 104109730557/25000000000 (.f64 (.f64 x x) 393497462077/5000000000)))
(fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y)
(+.f64 (.f64 (+.f64 4297481763/31250000 (.f64 (+.f64 393497462077/5000000000 (*.f64 104109730557/25000000000 x)) x)) x) y)
(+.f64 (fma.f64 4297481763/31250000 x y) (fma.f64 104109730557/25000000000 (pow.f64 x 3) (.f64 (.f64 x x) 393497462077/5000000000)))
(+.f64 (fma.f64 x 4297481763/31250000 y) (fma.f64 (pow.f64 x 3) 104109730557/25000000000 (.f64 (.f64 x x) 393497462077/5000000000)))
(fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y)
(+.f64 (.f64 (+.f64 4297481763/31250000 (.f64 (+.f64 393497462077/5000000000 (*.f64 104109730557/25000000000 x)) x)) x) y)
(+.f64 (fma.f64 4297481763/31250000 x y) (fma.f64 104109730557/25000000000 (pow.f64 x 3) (.f64 (.f64 x x) 393497462077/5000000000)))
(+.f64 (fma.f64 x 4297481763/31250000 y) (fma.f64 (pow.f64 x 3) 104109730557/25000000000 (.f64 (.f64 x x) 393497462077/5000000000)))
(fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y)

localize80.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (+.f64 (.f64 (+.f64 (*.f64 x 104109730557/25000000000) 393497462077/5000000000) x) 4297481763/31250000) x)
✓	0.4b	(.f64 (+.f64 (.f64 (+.f64 x 216700011257/5000000000) x) 263505074721/1000000000) x)
✓	0.6b	(*.f64 x 104109730557/25000000000)
✓	26.6b	(/.f64 (.f64 (-.f64 x 2) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x 104109730557/25000000000) 393497462077/5000000000) x) 4297481763/31250000) x) y) x) z)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 x 216700011257/5000000000) x) 263505074721/1000000000) x) 156699607947/500000000) x) 23533438303/500000000))

Compiler

Compiled 218 to 153 computations (29.8% saved)

series19.0ms (0.1%)

Counts

4 → 72

Calls

18 calls:

Time	Variable		Point	Expression
4.0ms	z	@	-inf	(/.f64 (.f64 (-.f64 x 2) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x 104109730557/25000000000) 393497462077/5000000000) x) 4297481763/31250000) x) y) x) z)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 x 216700011257/5000000000) x) 263505074721/1000000000) x) 156699607947/500000000) x) 23533438303/500000000))
3.0ms	z	@	0	(/.f64 (.f64 (-.f64 x 2) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x 104109730557/25000000000) 393497462077/5000000000) x) 4297481763/31250000) x) y) x) z)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 x 216700011257/5000000000) x) 263505074721/1000000000) x) 156699607947/500000000) x) 23533438303/500000000))
2.0ms	y	@	0	(/.f64 (.f64 (-.f64 x 2) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x 104109730557/25000000000) 393497462077/5000000000) x) 4297481763/31250000) x) y) x) z)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 x 216700011257/5000000000) x) 263505074721/1000000000) x) 156699607947/500000000) x) 23533438303/500000000))
1.0ms	y	@	inf	(/.f64 (.f64 (-.f64 x 2) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x 104109730557/25000000000) 393497462077/5000000000) x) 4297481763/31250000) x) y) x) z)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 x 216700011257/5000000000) x) 263505074721/1000000000) x) 156699607947/500000000) x) 23533438303/500000000))
1.0ms	y	@	-inf	(/.f64 (.f64 (-.f64 x 2) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x 104109730557/25000000000) 393497462077/5000000000) x) 4297481763/31250000) x) y) x) z)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 x 216700011257/5000000000) x) 263505074721/1000000000) x) 156699607947/500000000) x) 23533438303/500000000))

rewrite86.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

367×	`add-sqr-sqrt_binary64`
349×	`*-un-lft-identity_binary64`
349×	`pow1_binary64`
346×	`add-exp-log_binary64`
346×	`add-log-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	68
1	718	68

Stop Event

1×	node limit

Counts

4 → 71

Calls

Call 1

Inputs
(/.f64 (.f64 (-.f64 x 2) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x 104109730557/25000000000) 393497462077/5000000000) x) 4297481763/31250000) x) y) x) z)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 x 216700011257/5000000000) x) 263505074721/1000000000) x) 156699607947/500000000) x) 23533438303/500000000))
(*.f64 x 104109730557/25000000000)
(.f64 (+.f64 (.f64 (+.f64 x 216700011257/5000000000) x) 263505074721/1000000000) x)
(.f64 (+.f64 (.f64 (+.f64 (*.f64 x 104109730557/25000000000) 393497462077/5000000000) x) 4297481763/31250000) x)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x -2) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 x -2) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z)) (/.f64 1 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (+.f64 x -2) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x -2) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z)))) 2) (cbrt.f64 (/.f64 (+.f64 x -2) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (+.f64 x -2) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z)))) (sqrt.f64 (/.f64 (+.f64 x -2) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 x -2) 1) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z) 1) (/.f64 (+.f64 x -2) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 x -2) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z))) 2) 1) (/.f64 (cbrt.f64 (.f64 (+.f64 x -2) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z))) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (.f64 (+.f64 x -2) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z))) 1) (/.f64 (sqrt.f64 (.f64 (+.f64 x -2) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z))) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 x -2) (cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) 2))) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z) (cbrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z) (cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) 2))) (/.f64 (+.f64 x -2) (cbrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) 2))) (/.f64 (.f64 (+.f64 x -2) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z)) (cbrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 x -2) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z))) 2) (cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) 2))) (cbrt.f64 (/.f64 (+.f64 x -2) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (.f64 (+.f64 x -2) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z))) (cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) 2))) (/.f64 (sqrt.f64 (.f64 (+.f64 x -2) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z))) (cbrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 x -2) (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z) (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z) (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))) (/.f64 (+.f64 x -2) (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))) (/.f64 (.f64 (+.f64 x -2) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z)) (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 x -2) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z))) 2) (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))) (/.f64 (cbrt.f64 (.f64 (+.f64 x -2) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z))) (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x -2) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x -2) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 x -2) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 x -2) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) (.f64 (+.f64 x -2) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 x -2) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 x -2) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x -2) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 x -2) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (.f64 (+.f64 x -2) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z)) 3) (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 x -2) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 x -2) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 x -2) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 (+.f64 x -2) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x 104109730557/25000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x 104109730557/25000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x 104109730557/25000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 x 104109730557/25000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1128428295162862690821234941118693/15625000000000000000000000000000 (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 x 104109730557/25000000000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 104109730557/25000000000) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 x 104109730557/25000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 1128428295162862690821234941118693/15625000000000000000000000000000 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x 104109730557/25000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 x 104109730557/25000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 x 104109730557/25000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (*.f64 x 104109730557/25000000000)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (*.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000)) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (*.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000))) 1))))))

simplify125.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

406×	`fma-def_binary64`
375×	`+-commutative_binary64`
345×	`associate--r+_binary64`
309×	`cancel-sign-sub-inv_binary64`
289×	`neg-sub0_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	127	2498
1	328	2195
2	898	2061
3	3627	1822
4	7262	1822

Stop Event

1×	node limit

Counts

143 → 122

Calls

Call 1

Inputs
(*.f64 -1000000000/23533438303 z)
(+.f64 (.f64 (-.f64 (.f64 500000000/23533438303 (+.f64 (.f64 -2 y) z)) (.f64 -156699607947000000000/553822718361107519809 z)) x) (*.f64 -1000000000/23533438303 z))
(+.f64 (.f64 (-.f64 (.f64 500000000/23533438303 (+.f64 (.f64 -2 y) z)) (.f64 -156699607947000000000/553822718361107519809 z)) x) (+.f64 (.f64 -1000000000/23533438303 z) (.f64 (-.f64 (.f64 500000000/23533438303 (-.f64 y 4297481763/15625000)) (+.f64 (.f64 -131752537360500000000/553822718361107519809 z) (.f64 156699607947/23533438303 (-.f64 (.f64 500000000/23533438303 (+.f64 (.f64 -2 y) z)) (.f64 -156699607947000000000/553822718361107519809 z))))) (pow.f64 x 2))))
(+.f64 (.f64 (-.f64 (.f64 500000000/23533438303 (+.f64 (.f64 -2 y) z)) (.f64 -156699607947000000000/553822718361107519809 z)) x) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 156699607947/23533438303 (-.f64 (.f64 500000000/23533438303 (-.f64 y 4297481763/15625000)) (+.f64 (.f64 -131752537360500000000/553822718361107519809 z) (.f64 156699607947/23533438303 (-.f64 (.f64 500000000/23533438303 (+.f64 (.f64 -2 y) z)) (.f64 -156699607947000000000/553822718361107519809 z)))))) (+.f64 (.f64 263505074721/47066876606 (-.f64 (.f64 500000000/23533438303 (+.f64 (.f64 -2 y) z)) (.f64 -156699607947000000000/553822718361107519809 z))) (+.f64 49698921037/117667191515 (.f64 -21670001125700000000/553822718361107519809 z)))) (pow.f64 x 3))) (+.f64 (.f64 -1000000000/23533438303 z) (.f64 (-.f64 (.f64 500000000/23533438303 (-.f64 y 4297481763/15625000)) (+.f64 (.f64 -131752537360500000000/553822718361107519809 z) (.f64 156699607947/23533438303 (-.f64 (.f64 500000000/23533438303 (+.f64 (.f64 -2 y) z)) (.f64 -156699607947000000000/553822718361107519809 z))))) (pow.f64 x 2)))))
(*.f64 104109730557/25000000000 x)
(-.f64 (*.f64 104109730557/25000000000 x) 13764240537310136880149/125000000000000000000)
(-.f64 (+.f64 (.f64 104109730557/25000000000 x) (.f64 2284450290879775841688574159837293/625000000000000000000000000000 (/.f64 1 x))) 13764240537310136880149/125000000000000000000)
(-.f64 (+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (.f64 104109730557/25000000000 x) (.f64 2284450290879775841688574159837293/625000000000000000000000000000 (/.f64 1 x)))) (+.f64 (*.f64 26824193331114715095879543597281115202414660878336/204800000000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 2))) 13764240537310136880149/125000000000000000000))
(*.f64 104109730557/25000000000 x)
(-.f64 (*.f64 104109730557/25000000000 x) 13764240537310136880149/125000000000000000000)
(-.f64 (+.f64 (.f64 104109730557/25000000000 x) (.f64 2284450290879775841688574159837293/625000000000000000000000000000 (/.f64 1 x))) 13764240537310136880149/125000000000000000000)
(-.f64 (+.f64 (.f64 104109730557/25000000000 x) (+.f64 (.f64 2284450290879775841688574159837293/625000000000000000000000000000 (/.f64 1 x)) (.f64 -1 (/.f64 (+.f64 26824193331114715095879543597281115202414660878336/204800000000000000000000000000000000000000000 (.f64 -1 y)) (pow.f64 x 2))))) 13764240537310136880149/125000000000000000000)
(/.f64 (.f64 (+.f64 (.f64 (+.f64 4297481763/31250000 (.f64 (+.f64 393497462077/5000000000 (.f64 104109730557/25000000000 x)) x)) (pow.f64 x 2)) z) (-.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 (+.f64 4297481763/31250000 (.f64 (+.f64 393497462077/5000000000 (.f64 104109730557/25000000000 x)) x)) (pow.f64 x 2)) z) (-.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) (/.f64 (.f64 y (.f64 x (-.f64 x 2))) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 (+.f64 4297481763/31250000 (.f64 (+.f64 393497462077/5000000000 (.f64 104109730557/25000000000 x)) x)) (pow.f64 x 2)) z) (-.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) (/.f64 (.f64 y (.f64 x (-.f64 x 2))) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 (+.f64 4297481763/31250000 (.f64 (+.f64 393497462077/5000000000 (.f64 104109730557/25000000000 x)) x)) (pow.f64 x 2)) z) (-.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) (/.f64 (.f64 y (.f64 x (-.f64 x 2))) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)))
(/.f64 (.f64 y (.f64 (-.f64 x 2) x)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 (+.f64 4297481763/31250000 (.f64 (+.f64 393497462077/5000000000 (.f64 104109730557/25000000000 x)) x)) (pow.f64 x 2)) z) (-.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) (/.f64 (.f64 y (.f64 x (-.f64 x 2))) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 (+.f64 4297481763/31250000 (.f64 (+.f64 393497462077/5000000000 (.f64 104109730557/25000000000 x)) x)) (pow.f64 x 2)) z) (-.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) (/.f64 (.f64 y (.f64 x (-.f64 x 2))) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 (+.f64 4297481763/31250000 (.f64 (+.f64 393497462077/5000000000 (.f64 104109730557/25000000000 x)) x)) (pow.f64 x 2)) z) (-.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) (/.f64 (.f64 y (.f64 x (-.f64 x 2))) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)))
(/.f64 (.f64 y (.f64 x (-.f64 x 2))) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 (+.f64 4297481763/31250000 (.f64 (+.f64 393497462077/5000000000 (.f64 104109730557/25000000000 x)) x)) (pow.f64 x 2)) z) (-.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) (/.f64 (.f64 y (.f64 (-.f64 x 2) x)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 (+.f64 4297481763/31250000 (.f64 (+.f64 393497462077/5000000000 (.f64 104109730557/25000000000 x)) x)) (pow.f64 x 2)) z) (-.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) (/.f64 (.f64 y (.f64 (-.f64 x 2) x)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 (+.f64 4297481763/31250000 (.f64 (+.f64 393497462077/5000000000 (.f64 104109730557/25000000000 x)) x)) (pow.f64 x 2)) z) (-.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) (/.f64 (.f64 y (.f64 (-.f64 x 2) x)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)))
(/.f64 (.f64 (+.f64 (.f64 (+.f64 4297481763/31250000 (.f64 (+.f64 393497462077/5000000000 (.f64 104109730557/25000000000 x)) x)) x) y) (.f64 (-.f64 x 2) x)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000))
(+.f64 (.f64 z (-.f64 (/.f64 x (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) (.f64 2 (/.f64 1 (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000))))) (/.f64 (.f64 (+.f64 (.f64 (+.f64 4297481763/31250000 (.f64 (+.f64 393497462077/5000000000 (.f64 104109730557/25000000000 x)) x)) x) y) (.f64 x (-.f64 x 2))) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)))
(+.f64 (.f64 z (-.f64 (/.f64 x (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) (.f64 2 (/.f64 1 (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000))))) (/.f64 (.f64 (+.f64 (.f64 (+.f64 4297481763/31250000 (.f64 (+.f64 393497462077/5000000000 (.f64 104109730557/25000000000 x)) x)) x) y) (.f64 x (-.f64 x 2))) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)))
(+.f64 (.f64 z (-.f64 (/.f64 x (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) (.f64 2 (/.f64 1 (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000))))) (/.f64 (.f64 (+.f64 (.f64 (+.f64 4297481763/31250000 (.f64 (+.f64 393497462077/5000000000 (.f64 104109730557/25000000000 x)) x)) x) y) (.f64 x (-.f64 x 2))) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)))
(/.f64 (.f64 z (-.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000))
(+.f64 (/.f64 (.f64 z (-.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) (/.f64 (.f64 (+.f64 (.f64 (+.f64 4297481763/31250000 (.f64 (+.f64 393497462077/5000000000 (.f64 104109730557/25000000000 x)) x)) x) y) (.f64 x (-.f64 x 2))) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)))
(+.f64 (/.f64 (.f64 z (-.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) (/.f64 (.f64 (+.f64 (.f64 (+.f64 4297481763/31250000 (.f64 (+.f64 393497462077/5000000000 (.f64 104109730557/25000000000 x)) x)) x) y) (.f64 x (-.f64 x 2))) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)))
(+.f64 (/.f64 (.f64 z (-.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) (/.f64 (.f64 (+.f64 (.f64 (+.f64 4297481763/31250000 (.f64 (+.f64 393497462077/5000000000 (.f64 104109730557/25000000000 x)) x)) x) y) (.f64 x (-.f64 x 2))) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)))
(/.f64 (.f64 z (-.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000))
(+.f64 (/.f64 (.f64 z (-.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) (/.f64 (.f64 (+.f64 (.f64 (+.f64 4297481763/31250000 (.f64 (+.f64 393497462077/5000000000 (.f64 104109730557/25000000000 x)) x)) x) y) (.f64 (-.f64 x 2) x)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)))
(+.f64 (/.f64 (.f64 z (-.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) (/.f64 (.f64 (+.f64 (.f64 (+.f64 4297481763/31250000 (.f64 (+.f64 393497462077/5000000000 (.f64 104109730557/25000000000 x)) x)) x) y) (.f64 (-.f64 x 2) x)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)))
(+.f64 (/.f64 (.f64 z (-.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) (/.f64 (.f64 (+.f64 (.f64 (+.f64 4297481763/31250000 (.f64 (+.f64 393497462077/5000000000 (.f64 104109730557/25000000000 x)) x)) x) y) (.f64 (-.f64 x 2) x)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)))
(*.f64 104109730557/25000000000 x)
(*.f64 104109730557/25000000000 x)
(*.f64 104109730557/25000000000 x)
(*.f64 104109730557/25000000000 x)
(*.f64 104109730557/25000000000 x)
(*.f64 104109730557/25000000000 x)
(*.f64 104109730557/25000000000 x)
(*.f64 104109730557/25000000000 x)
(*.f64 104109730557/25000000000 x)
(*.f64 104109730557/25000000000 x)
(*.f64 104109730557/25000000000 x)
(*.f64 104109730557/25000000000 x)
(*.f64 263505074721/1000000000 x)
(+.f64 (.f64 216700011257/5000000000 (pow.f64 x 2)) (.f64 263505074721/1000000000 x))
(+.f64 (.f64 216700011257/5000000000 (pow.f64 x 2)) (+.f64 (.f64 263505074721/1000000000 x) (pow.f64 x 3)))
(+.f64 (.f64 216700011257/5000000000 (pow.f64 x 2)) (+.f64 (.f64 263505074721/1000000000 x) (pow.f64 x 3)))
(pow.f64 x 3)
(+.f64 (*.f64 216700011257/5000000000 (pow.f64 x 2)) (pow.f64 x 3))
(+.f64 (.f64 216700011257/5000000000 (pow.f64 x 2)) (+.f64 (.f64 263505074721/1000000000 x) (pow.f64 x 3)))
(+.f64 (.f64 216700011257/5000000000 (pow.f64 x 2)) (+.f64 (.f64 263505074721/1000000000 x) (pow.f64 x 3)))
(pow.f64 x 3)
(+.f64 (*.f64 216700011257/5000000000 (pow.f64 x 2)) (pow.f64 x 3))
(+.f64 (.f64 216700011257/5000000000 (pow.f64 x 2)) (+.f64 (.f64 263505074721/1000000000 x) (pow.f64 x 3)))
(+.f64 (.f64 216700011257/5000000000 (pow.f64 x 2)) (+.f64 (.f64 263505074721/1000000000 x) (pow.f64 x 3)))
(*.f64 4297481763/31250000 x)
(+.f64 (.f64 4297481763/31250000 x) (.f64 393497462077/5000000000 (pow.f64 x 2)))
(+.f64 (.f64 4297481763/31250000 x) (+.f64 (.f64 104109730557/25000000000 (pow.f64 x 3)) (*.f64 393497462077/5000000000 (pow.f64 x 2))))
(+.f64 (.f64 4297481763/31250000 x) (+.f64 (.f64 104109730557/25000000000 (pow.f64 x 3)) (*.f64 393497462077/5000000000 (pow.f64 x 2))))
(*.f64 104109730557/25000000000 (pow.f64 x 3))
(+.f64 (.f64 104109730557/25000000000 (pow.f64 x 3)) (.f64 393497462077/5000000000 (pow.f64 x 2)))
(+.f64 (.f64 4297481763/31250000 x) (+.f64 (.f64 104109730557/25000000000 (pow.f64 x 3)) (*.f64 393497462077/5000000000 (pow.f64 x 2))))
(+.f64 (.f64 4297481763/31250000 x) (+.f64 (.f64 104109730557/25000000000 (pow.f64 x 3)) (*.f64 393497462077/5000000000 (pow.f64 x 2))))
(*.f64 104109730557/25000000000 (pow.f64 x 3))
(+.f64 (.f64 104109730557/25000000000 (pow.f64 x 3)) (.f64 393497462077/5000000000 (pow.f64 x 2)))
(+.f64 (.f64 4297481763/31250000 x) (+.f64 (.f64 104109730557/25000000000 (pow.f64 x 3)) (*.f64 393497462077/5000000000 (pow.f64 x 2))))
(+.f64 (.f64 4297481763/31250000 x) (+.f64 (.f64 104109730557/25000000000 (pow.f64 x 3)) (*.f64 393497462077/5000000000 (pow.f64 x 2))))

Outputs
(*.f64 -1000000000/23533438303 z)
(+.f64 (.f64 (-.f64 (.f64 500000000/23533438303 (+.f64 (.f64 -2 y) z)) (.f64 -156699607947000000000/553822718361107519809 z)) x) (*.f64 -1000000000/23533438303 z))
(fma.f64 (fma.f64 500000000/23533438303 (fma.f64 -2 y z) (neg.f64 (.f64 z -156699607947000000000/553822718361107519809))) x (.f64 -1000000000/23533438303 z))
(fma.f64 -1000000000/23533438303 z (.f64 (fma.f64 500000000/23533438303 (fma.f64 -2 y z) (.f64 z 156699607947000000000/553822718361107519809)) x))
(fma.f64 -1000000000/23533438303 z (.f64 (fma.f64 -1000000000/23533438303 y (.f64 z 168466327098500000000/553822718361107519809)) x))
(+.f64 (.f64 (-.f64 (.f64 500000000/23533438303 (+.f64 (.f64 -2 y) z)) (.f64 -156699607947000000000/553822718361107519809 z)) x) (+.f64 (.f64 -1000000000/23533438303 z) (.f64 (-.f64 (.f64 500000000/23533438303 (-.f64 y 4297481763/15625000)) (+.f64 (.f64 -131752537360500000000/553822718361107519809 z) (.f64 156699607947/23533438303 (-.f64 (.f64 500000000/23533438303 (+.f64 (.f64 -2 y) z)) (.f64 -156699607947000000000/553822718361107519809 z))))) (pow.f64 x 2))))
(fma.f64 (fma.f64 500000000/23533438303 (fma.f64 -2 y z) (neg.f64 (.f64 z -156699607947000000000/553822718361107519809))) x (fma.f64 -1000000000/23533438303 z (.f64 (-.f64 (.f64 500000000/23533438303 (+.f64 y -4297481763/15625000)) (fma.f64 -131752537360500000000/553822718361107519809 z (.f64 (fma.f64 500000000/23533438303 (fma.f64 -2 y z) (neg.f64 (.f64 z -156699607947000000000/553822718361107519809))) 156699607947/23533438303))) (.f64 x x))))
(fma.f64 (fma.f64 500000000/23533438303 (fma.f64 -2 y z) (.f64 z 156699607947000000000/553822718361107519809)) x (fma.f64 (-.f64 (.f64 500000000/23533438303 (+.f64 y -4297481763/15625000)) (fma.f64 (fma.f64 500000000/23533438303 (fma.f64 -2 y z) (.f64 z 156699607947000000000/553822718361107519809)) 156699607947/23533438303 (.f64 z -131752537360500000000/553822718361107519809))) (.f64 x x) (.f64 -1000000000/23533438303 z)))
(fma.f64 -1000000000/23533438303 z (.f64 x (+.f64 (fma.f64 -1000000000/23533438303 y (.f64 z 168466327098500000000/553822718361107519809)) (.f64 x (-.f64 (fma.f64 500000000/23533438303 y -137519416416/23533438303) (fma.f64 z -131752537360500000000/553822718361107519809 (.f64 (fma.f64 -1000000000/23533438303 y (*.f64 z 168466327098500000000/553822718361107519809)) 156699607947/23533438303)))))))
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(fma.f64 216700011257/5000000000 (*.f64 x x) (fma.f64 263505074721/1000000000 x (pow.f64 x 3)))
(fma.f64 (*.f64 x x) 216700011257/5000000000 (fma.f64 x 263505074721/1000000000 (pow.f64 x 3)))
(*.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000))
(+.f64 (.f64 216700011257/5000000000 (pow.f64 x 2)) (+.f64 (.f64 263505074721/1000000000 x) (pow.f64 x 3)))
(fma.f64 216700011257/5000000000 (*.f64 x x) (fma.f64 263505074721/1000000000 x (pow.f64 x 3)))
(fma.f64 (*.f64 x x) 216700011257/5000000000 (fma.f64 x 263505074721/1000000000 (pow.f64 x 3)))
(*.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000))
(pow.f64 x 3)
(+.f64 (*.f64 216700011257/5000000000 (pow.f64 x 2)) (pow.f64 x 3))
(fma.f64 216700011257/5000000000 (*.f64 x x) (pow.f64 x 3))
(.f64 (.f64 x x) (+.f64 x 216700011257/5000000000))
(+.f64 (.f64 216700011257/5000000000 (pow.f64 x 2)) (+.f64 (.f64 263505074721/1000000000 x) (pow.f64 x 3)))
(fma.f64 216700011257/5000000000 (*.f64 x x) (fma.f64 263505074721/1000000000 x (pow.f64 x 3)))
(fma.f64 (*.f64 x x) 216700011257/5000000000 (fma.f64 x 263505074721/1000000000 (pow.f64 x 3)))
(*.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000))
(+.f64 (.f64 216700011257/5000000000 (pow.f64 x 2)) (+.f64 (.f64 263505074721/1000000000 x) (pow.f64 x 3)))
(fma.f64 216700011257/5000000000 (*.f64 x x) (fma.f64 263505074721/1000000000 x (pow.f64 x 3)))
(fma.f64 (*.f64 x x) 216700011257/5000000000 (fma.f64 x 263505074721/1000000000 (pow.f64 x 3)))
(*.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000))
(*.f64 4297481763/31250000 x)
(*.f64 x 4297481763/31250000)
(+.f64 (.f64 4297481763/31250000 x) (.f64 393497462077/5000000000 (pow.f64 x 2)))
(fma.f64 4297481763/31250000 x (.f64 (.f64 x x) 393497462077/5000000000))
(fma.f64 x 4297481763/31250000 (.f64 x (.f64 x 393497462077/5000000000)))
(.f64 x (+.f64 4297481763/31250000 (.f64 x 393497462077/5000000000)))
(+.f64 (.f64 4297481763/31250000 x) (+.f64 (.f64 104109730557/25000000000 (pow.f64 x 3)) (*.f64 393497462077/5000000000 (pow.f64 x 2))))
(fma.f64 4297481763/31250000 x (fma.f64 104109730557/25000000000 (pow.f64 x 3) (.f64 (.f64 x x) 393497462077/5000000000)))
(fma.f64 x 4297481763/31250000 (fma.f64 (.f64 x x) 393497462077/5000000000 (.f64 (pow.f64 x 3) 104109730557/25000000000)))
(*.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000))
(+.f64 (.f64 4297481763/31250000 x) (+.f64 (.f64 104109730557/25000000000 (pow.f64 x 3)) (*.f64 393497462077/5000000000 (pow.f64 x 2))))
(fma.f64 4297481763/31250000 x (fma.f64 104109730557/25000000000 (pow.f64 x 3) (.f64 (.f64 x x) 393497462077/5000000000)))
(fma.f64 x 4297481763/31250000 (fma.f64 (.f64 x x) 393497462077/5000000000 (.f64 (pow.f64 x 3) 104109730557/25000000000)))
(*.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000))
(*.f64 104109730557/25000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 104109730557/25000000000)
(+.f64 (.f64 104109730557/25000000000 (pow.f64 x 3)) (.f64 393497462077/5000000000 (pow.f64 x 2)))
(fma.f64 104109730557/25000000000 (pow.f64 x 3) (.f64 (.f64 x x) 393497462077/5000000000))
(fma.f64 (.f64 x x) 393497462077/5000000000 (.f64 (pow.f64 x 3) 104109730557/25000000000))
(.f64 x (.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000)))
(.f64 (.f64 x x) (fma.f64 x 104109730557/25000000000 393497462077/5000000000))
(+.f64 (.f64 4297481763/31250000 x) (+.f64 (.f64 104109730557/25000000000 (pow.f64 x 3)) (*.f64 393497462077/5000000000 (pow.f64 x 2))))
(fma.f64 4297481763/31250000 x (fma.f64 104109730557/25000000000 (pow.f64 x 3) (.f64 (.f64 x x) 393497462077/5000000000)))
(fma.f64 x 4297481763/31250000 (fma.f64 (.f64 x x) 393497462077/5000000000 (.f64 (pow.f64 x 3) 104109730557/25000000000)))
(*.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000))
(+.f64 (.f64 4297481763/31250000 x) (+.f64 (.f64 104109730557/25000000000 (pow.f64 x 3)) (*.f64 393497462077/5000000000 (pow.f64 x 2))))
(fma.f64 4297481763/31250000 x (fma.f64 104109730557/25000000000 (pow.f64 x 3) (.f64 (.f64 x x) 393497462077/5000000000)))
(fma.f64 x 4297481763/31250000 (fma.f64 (.f64 x x) 393497462077/5000000000 (.f64 (pow.f64 x 3) 104109730557/25000000000)))
(*.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000))
(*.f64 104109730557/25000000000 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 104109730557/25000000000)
(+.f64 (.f64 104109730557/25000000000 (pow.f64 x 3)) (.f64 393497462077/5000000000 (pow.f64 x 2)))
(fma.f64 104109730557/25000000000 (pow.f64 x 3) (.f64 (.f64 x x) 393497462077/5000000000))
(fma.f64 (.f64 x x) 393497462077/5000000000 (.f64 (pow.f64 x 3) 104109730557/25000000000))
(.f64 x (.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000)))
(.f64 (.f64 x x) (fma.f64 x 104109730557/25000000000 393497462077/5000000000))
(+.f64 (.f64 4297481763/31250000 x) (+.f64 (.f64 104109730557/25000000000 (pow.f64 x 3)) (*.f64 393497462077/5000000000 (pow.f64 x 2))))
(fma.f64 4297481763/31250000 x (fma.f64 104109730557/25000000000 (pow.f64 x 3) (.f64 (.f64 x x) 393497462077/5000000000)))
(fma.f64 x 4297481763/31250000 (fma.f64 (.f64 x x) 393497462077/5000000000 (.f64 (pow.f64 x 3) 104109730557/25000000000)))
(*.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000))
(+.f64 (.f64 4297481763/31250000 x) (+.f64 (.f64 104109730557/25000000000 (pow.f64 x 3)) (*.f64 393497462077/5000000000 (pow.f64 x 2))))
(fma.f64 4297481763/31250000 x (fma.f64 104109730557/25000000000 (pow.f64 x 3) (.f64 (.f64 x x) 393497462077/5000000000)))
(fma.f64 x 4297481763/31250000 (fma.f64 (.f64 x x) 393497462077/5000000000 (.f64 (pow.f64 x 3) 104109730557/25000000000)))
(*.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000))

eval224.0ms (0.7%)

Compiler: Compiled 11497 to 7878 computations (31.5% saved)

prune89.0ms (0.3%)

Pruning

28 alts after pruning (28 fresh and 0 done)

	Pruned	Kept	Total
New	295	28	323
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	297	28	325

Error

0.2b

Counts

325 → 28

Alt Table

Click to see full alt table

Status	Error	Program
	37.4b	(/.f64 (.f64 (+.f64 (.f64 (+.f64 4297481763/31250000 (.f64 (+.f64 393497462077/5000000000 (.f64 104109730557/25000000000 x)) x)) (pow.f64 x 2)) z) (-.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000))
	33.4b	(.f64 (+.f64 x -2) (+.f64 (.f64 500000000/23533438303 z) (.f64 (-.f64 (.f64 500000000/23533438303 y) (*.f64 78349803973500000000/553822718361107519809 z)) x)))
▶	34.0b	(.f64 (+.f64 x -2) (+.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (.f64 x x)) (/.f64 (+.f64 y -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000) (pow.f64 x 3)))))
	41.4b	(.f64 (+.f64 x -2) (.f64 500000000/23533438303 z))
	27.5b	(/.f64 (/.f64 (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z) (+.f64 x -2)) (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))) (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))
	52.6b	(/.f64 (.f64 y (.f64 (-.f64 x 2) x)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000))
	27.4b	(/.f64 (.f64 (-.f64 x 2) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x 104109730557/25000000000) 393497462077/5000000000) x) 4297481763/31250000) x) y) x) z)) (+.f64 (.f64 (+.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000))) 3) 156699607947/500000000) x) 23533438303/500000000))
	25.8b	(*.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z) (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))) (/.f64 (+.f64 x -2) (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))))
	40.9b	(.f64 (+.f64 x -2) (/.f64 z (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)))
	35.6b	(.f64 (+.f64 x -2) (+.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (.f64 x x))))
	47.0b	(.f64 (+.f64 x -2) (/.f64 (.f64 (+.f64 (.f64 (+.f64 4297481763/31250000 (.f64 (+.f64 393497462077/5000000000 (.f64 104109730557/25000000000 x)) x)) x) y) x) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)))
	34.9b	(*.f64 (+.f64 x -2) 104109730557/25000000000)
	51.5b	(.f64 (.f64 x (+.f64 x -2)) (/.f64 y (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))
▶	41.3b	(/.f64 (.f64 z (-.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000))
	52.1b	(.f64 (+.f64 x -2) (/.f64 (.f64 y x) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)))
	35.2b	(-.f64 (+.f64 (.f64 104109730557/25000000000 x) (.f64 2284450290879775841688574159837293/625000000000000000000000000000 (/.f64 1 x))) 13764240537310136880149/125000000000000000000)
	33.0b	(+.f64 (.f64 (-.f64 (.f64 500000000/23533438303 (+.f64 (.f64 -2 y) z)) (.f64 -156699607947000000000/553822718361107519809 z)) x) (*.f64 -1000000000/23533438303 z))
	29.4b	(/.f64 (.f64 (-.f64 x 2) (+.f64 (.f64 (+.f64 (.f64 x 4297481763/31250000) y) x) z)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 x 216700011257/5000000000) x) 263505074721/1000000000) x) 156699607947/500000000) x) 23533438303/500000000))
▶	25.8b	(*.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z) 1) (/.f64 (+.f64 x -2) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))
	31.0b	(.f64 (+.f64 x -2) (+.f64 (.f64 (-.f64 68759708208/23533438303 (+.f64 (.f64 156699607947/23533438303 (-.f64 (.f64 500000000/23533438303 y) (.f64 78349803973500000000/553822718361107519809 z))) (.f64 65876268680250000000/553822718361107519809 z))) (pow.f64 x 2)) (+.f64 (.f64 500000000/23533438303 z) (.f64 (-.f64 (.f64 500000000/23533438303 y) (.f64 78349803973500000000/553822718361107519809 z)) x))))
	41.4b	(*.f64 z -1000000000/23533438303)
	34.9b	(-.f64 (*.f64 104109730557/25000000000 x) 13764240537310136880149/125000000000000000000)
	35.9b	(/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) z) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) (+.f64 x -2)))
▶	35.0b	(*.f64 x 104109730557/25000000000)
	33.8b	(+.f64 (fma.f64 x 104109730557/25000000000 -13764240537310136880149/125000000000000000000) (+.f64 (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x) (/.f64 (/.f64 (+.f64 y -409304707811198655637810418659684985388407301/3125000000000000000000000000000000000000) x) x)))
	28.2b	(/.f64 (/.f64 (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z) (+.f64 x -2)) (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) 2)) (cbrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))
	35.2b	(*.f64 (+.f64 x -2) (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)))
▶	35.2b	(.f64 (+.f64 x -2) (-.f64 104109730557/25000000000 (.f64 12723143231740136880149/125000000000000000000 (/.f64 1 x))))

Compiler

Compiled 1414 to 1046 computations (26% saved)

localize61.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y)
	0.3b	(fma.f64 x 104109730557/25000000000 393497462077/5000000000)
✓	1.8b	(/.f64 (+.f64 x -2) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))
✓	25.1b	(*.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z) 1) (/.f64 (+.f64 x -2) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))

Compiler

Compiled 145 to 96 computations (33.8% saved)

series8.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	(*.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z) 1) (/.f64 (+.f64 x -2) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))
1.0ms	y	@	inf	(*.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z) 1) (/.f64 (+.f64 x -2) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))
1.0ms	z	@	0	(*.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z) 1) (/.f64 (+.f64 x -2) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))
1.0ms	y	@	0	(*.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z) 1) (/.f64 (+.f64 x -2) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))
1.0ms	x	@	inf	(/.f64 (+.f64 x -2) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))

rewrite126.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

450×	`expm1-udef_binary64`
450×	`log1p-udef_binary64`
290×	`prod-diff_binary64`
256×	`add-sqr-sqrt_binary64`
241×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	63
1	545	63
2	6379	63

Stop Event

1×	node limit

Counts

2 → 80

Calls

Call 1

Inputs

(*.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z) 1) (/.f64 (+.f64 x -2) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))

(/.f64 (+.f64 x -2) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y)) (/.f64 (+.f64 x -2) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))) (*.f64 z (/.f64 (+.f64 x -2) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (+.f64 x -2) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y))) (*.f64 (/.f64 (+.f64 x -2) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) z))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z) (/.f64 (+.f64 x -2) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) (+.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z) (*.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z) (/.f64 (+.f64 x -2) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z) (/.f64 (+.f64 x -2) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 (+.f64 x -2) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))) (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 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(/.f64 (+.f64 x -2) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 x -2) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) 3) (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z) (/.f64 (+.f64 x -2) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z) (/.f64 (+.f64 x -2) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z) (/.f64 (+.f64 x -2) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z) (/.f64 (+.f64 x -2) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x -2) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 x -2) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x -2) (/.f64 1 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x -2) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 x -2) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 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*.f64 (sqrt.f64 (/.f64 (+.f64 x -2) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))) (sqrt.f64 (/.f64 (+.f64 x -2) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x -2)) (*.f64 (sqrt.f64 (+.f64 x -2)) (/.f64 1 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 2 (neg.f64 x)) (/.f64 1 (neg.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (+.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x -2)) 2) 1) (/.f64 (cbrt.f64 (+.f64 x -2)) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x -2)) 1) (/.f64 (sqrt.f64 (+.f64 x -2)) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) 2)) (/.f64 (+.f64 x -2) (cbrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x -2)) 2) (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) 2)) (cbrt.f64 (/.f64 (+.f64 x -2) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x -2)) (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) 2)) (/.f64 (sqrt.f64 (+.f64 x -2)) (cbrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))) (/.f64 (+.f64 x -2) (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x -2)) 2) (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))) (/.f64 (cbrt.f64 (+.f64 x -2)) (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x -2) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x -2) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 x -2) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 x -2) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) (+.f64 x -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 x -2) (neg.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 x -2) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 x -2) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x -2) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 x -2) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 x -2) 3) (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 x -2) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 x -2) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 x -2) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x -2) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))) 1))))))

simplify101.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

421×	`fma-def_binary64`
392×	`associate-/r*_binary64`
351×	`associate--r+_binary64`
338×	`cancel-sign-sub-inv_binary64`
273×	`associate--l+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	148	2355
1	380	2052
2	1042	1984
3	4149	1743

Stop Event

1×	node limit

Counts

128 → 124

Calls

Call 1

Inputs
(*.f64 -1000000000/23533438303 z)
(+.f64 (.f64 (-.f64 (.f64 500000000/23533438303 (+.f64 (.f64 -2 y) z)) (.f64 -156699607947000000000/553822718361107519809 z)) x) (*.f64 -1000000000/23533438303 z))
(+.f64 (.f64 (-.f64 (.f64 500000000/23533438303 (+.f64 (.f64 -2 y) z)) (.f64 -156699607947000000000/553822718361107519809 z)) x) (+.f64 (.f64 -1000000000/23533438303 z) (.f64 (-.f64 (.f64 500000000/23533438303 (-.f64 y 4297481763/15625000)) (+.f64 (.f64 -131752537360500000000/553822718361107519809 z) (.f64 156699607947/23533438303 (-.f64 (.f64 500000000/23533438303 (+.f64 (.f64 -2 y) z)) (.f64 -156699607947000000000/553822718361107519809 z))))) (pow.f64 x 2))))
(+.f64 (.f64 (-.f64 (.f64 500000000/23533438303 (+.f64 (.f64 -2 y) z)) (.f64 -156699607947000000000/553822718361107519809 z)) x) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 156699607947/23533438303 (-.f64 (.f64 500000000/23533438303 (-.f64 y 4297481763/15625000)) (+.f64 (.f64 -131752537360500000000/553822718361107519809 z) (.f64 156699607947/23533438303 (-.f64 (.f64 500000000/23533438303 (+.f64 (.f64 -2 y) z)) (.f64 -156699607947000000000/553822718361107519809 z)))))) (+.f64 (.f64 263505074721/47066876606 (-.f64 (.f64 500000000/23533438303 (+.f64 (.f64 -2 y) z)) (.f64 -156699607947000000000/553822718361107519809 z))) (+.f64 49698921037/117667191515 (.f64 -21670001125700000000/553822718361107519809 z)))) (pow.f64 x 3))) (+.f64 (.f64 -1000000000/23533438303 z) (.f64 (-.f64 (.f64 500000000/23533438303 (-.f64 y 4297481763/15625000)) (+.f64 (.f64 -131752537360500000000/553822718361107519809 z) (.f64 156699607947/23533438303 (-.f64 (.f64 500000000/23533438303 (+.f64 (.f64 -2 y) z)) (.f64 -156699607947000000000/553822718361107519809 z))))) (pow.f64 x 2)))))
(*.f64 104109730557/25000000000 x)
(-.f64 (*.f64 104109730557/25000000000 x) 13764240537310136880149/125000000000000000000)
(-.f64 (+.f64 (.f64 104109730557/25000000000 x) (.f64 2284450290879775841688574159837293/625000000000000000000000000000 (/.f64 1 x))) 13764240537310136880149/125000000000000000000)
(-.f64 (+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (.f64 104109730557/25000000000 x) (.f64 2284450290879775841688574159837293/625000000000000000000000000000 (/.f64 1 x)))) (+.f64 (*.f64 26824193331114715095879543597281115202414660878336/204800000000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 2))) 13764240537310136880149/125000000000000000000))
(*.f64 104109730557/25000000000 x)
(-.f64 (*.f64 104109730557/25000000000 x) 13764240537310136880149/125000000000000000000)
(-.f64 (+.f64 (.f64 104109730557/25000000000 x) (.f64 2284450290879775841688574159837293/625000000000000000000000000000 (/.f64 1 x))) 13764240537310136880149/125000000000000000000)
(-.f64 (+.f64 (.f64 104109730557/25000000000 x) (+.f64 (.f64 2284450290879775841688574159837293/625000000000000000000000000000 (/.f64 1 x)) (.f64 -1 (/.f64 (+.f64 26824193331114715095879543597281115202414660878336/204800000000000000000000000000000000000000000 (.f64 -1 y)) (pow.f64 x 2))))) 13764240537310136880149/125000000000000000000)
(/.f64 (.f64 (+.f64 (.f64 (+.f64 4297481763/31250000 (.f64 (+.f64 393497462077/5000000000 (.f64 104109730557/25000000000 x)) x)) (pow.f64 x 2)) z) (-.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 (+.f64 4297481763/31250000 (.f64 (+.f64 393497462077/5000000000 (.f64 104109730557/25000000000 x)) x)) (pow.f64 x 2)) z) (-.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) (/.f64 (.f64 y (.f64 x (-.f64 x 2))) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 (+.f64 4297481763/31250000 (.f64 (+.f64 393497462077/5000000000 (.f64 104109730557/25000000000 x)) x)) (pow.f64 x 2)) z) (-.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) (/.f64 (.f64 y (.f64 x (-.f64 x 2))) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)))
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(/.f64 (.f64 y (.f64 x (-.f64 x 2))) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000))
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(+.f64 (/.f64 (.f64 (+.f64 (.f64 (+.f64 4297481763/31250000 (.f64 (+.f64 393497462077/5000000000 (.f64 104109730557/25000000000 x)) x)) (pow.f64 x 2)) z) (-.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) (/.f64 (.f64 y (.f64 (-.f64 x 2) x)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)))
(/.f64 (.f64 y (.f64 x (-.f64 x 2))) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 (+.f64 4297481763/31250000 (.f64 (+.f64 393497462077/5000000000 (.f64 104109730557/25000000000 x)) x)) (pow.f64 x 2)) z) (-.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) (/.f64 (.f64 y (.f64 (-.f64 x 2) x)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 (+.f64 4297481763/31250000 (.f64 (+.f64 393497462077/5000000000 (.f64 104109730557/25000000000 x)) x)) (pow.f64 x 2)) z) (-.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) (/.f64 (.f64 y (.f64 (-.f64 x 2) x)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 (+.f64 4297481763/31250000 (.f64 (+.f64 393497462077/5000000000 (.f64 104109730557/25000000000 x)) x)) (pow.f64 x 2)) z) (-.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) (/.f64 (.f64 y (.f64 (-.f64 x 2) x)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)))
(/.f64 (.f64 (+.f64 (.f64 (+.f64 4297481763/31250000 (.f64 (+.f64 393497462077/5000000000 (.f64 104109730557/25000000000 x)) x)) x) y) (.f64 (-.f64 x 2) x)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000))
(+.f64 (.f64 z (-.f64 (/.f64 x (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) (.f64 2 (/.f64 1 (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000))))) (/.f64 (.f64 (+.f64 (.f64 (+.f64 4297481763/31250000 (.f64 (+.f64 393497462077/5000000000 (.f64 104109730557/25000000000 x)) x)) x) y) (.f64 x (-.f64 x 2))) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)))
(+.f64 (.f64 z (-.f64 (/.f64 x (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) (.f64 2 (/.f64 1 (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000))))) (/.f64 (.f64 (+.f64 (.f64 (+.f64 4297481763/31250000 (.f64 (+.f64 393497462077/5000000000 (.f64 104109730557/25000000000 x)) x)) x) y) (.f64 x (-.f64 x 2))) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)))
(+.f64 (.f64 z (-.f64 (/.f64 x (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) (.f64 2 (/.f64 1 (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000))))) (/.f64 (.f64 (+.f64 (.f64 (+.f64 4297481763/31250000 (.f64 (+.f64 393497462077/5000000000 (.f64 104109730557/25000000000 x)) x)) x) y) (.f64 x (-.f64 x 2))) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)))
(/.f64 (.f64 z (-.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000))
(+.f64 (/.f64 (.f64 z (-.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) (/.f64 (.f64 (+.f64 (.f64 (+.f64 4297481763/31250000 (.f64 (+.f64 393497462077/5000000000 (.f64 104109730557/25000000000 x)) x)) x) y) (.f64 x (-.f64 x 2))) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)))
(+.f64 (/.f64 (.f64 z (-.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) (/.f64 (.f64 (+.f64 (.f64 (+.f64 4297481763/31250000 (.f64 (+.f64 393497462077/5000000000 (.f64 104109730557/25000000000 x)) x)) x) y) (.f64 x (-.f64 x 2))) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)))
(+.f64 (/.f64 (.f64 z (-.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) (/.f64 (.f64 (+.f64 (.f64 (+.f64 4297481763/31250000 (.f64 (+.f64 393497462077/5000000000 (.f64 104109730557/25000000000 x)) x)) x) y) (.f64 x (-.f64 x 2))) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)))
(/.f64 (.f64 z (-.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000))
(+.f64 (/.f64 (.f64 z (-.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) (/.f64 (.f64 (+.f64 (.f64 (+.f64 4297481763/31250000 (.f64 (+.f64 393497462077/5000000000 (.f64 104109730557/25000000000 x)) x)) x) y) (.f64 x (-.f64 x 2))) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)))
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(+.f64 (/.f64 (.f64 z (-.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) (/.f64 (.f64 (+.f64 (.f64 (+.f64 4297481763/31250000 (.f64 (+.f64 393497462077/5000000000 (.f64 104109730557/25000000000 x)) x)) x) y) (.f64 x (-.f64 x 2))) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)))
-1000000000/23533438303
(-.f64 (*.f64 168466327098500000000/553822718361107519809 x) 1000000000/23533438303)
(-.f64 (+.f64 (.f64 168466327098500000000/553822718361107519809 x) (.f64 -23298017199368982832548000000000/13033352773350869092174451844127 (pow.f64 x 2))) 1000000000/23533438303)
(-.f64 (+.f64 (.f64 168466327098500000000/553822718361107519809 x) (+.f64 (.f64 -23298017199368982832548000000000/13033352773350869092174451844127 (pow.f64 x 2)) (*.f64 3140446455626174059100348970313144550000000/306719603372886620352117082586607327396481 (pow.f64 x 3)))) 1000000000/23533438303)
(/.f64 1 (pow.f64 x 3))
(-.f64 (/.f64 1 (pow.f64 x 3)) (*.f64 226700011257/5000000000 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 42538268123328926720049/25000000000000000000 (/.f64 1 (pow.f64 x 5))) (/.f64 1 (pow.f64 x 3))) (.f64 226700011257/5000000000 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 42538268123328926720049/25000000000000000000 (/.f64 1 (pow.f64 x 5))) (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 226700011257/5000000000 (/.f64 1 (pow.f64 x 4))) (*.f64 7763802998027229531190921387591593/125000000000000000000000000000 (/.f64 1 (pow.f64 x 6)))))
(/.f64 1 (pow.f64 x 3))
(-.f64 (/.f64 1 (pow.f64 x 3)) (*.f64 226700011257/5000000000 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 42538268123328926720049/25000000000000000000 (/.f64 1 (pow.f64 x 5))) (/.f64 1 (pow.f64 x 3))) (.f64 226700011257/5000000000 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 42538268123328926720049/25000000000000000000 (/.f64 1 (pow.f64 x 5))) (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 226700011257/5000000000 (/.f64 1 (pow.f64 x 4))) (*.f64 7763802998027229531190921387591593/125000000000000000000000000000 (/.f64 1 (pow.f64 x 6)))))

Outputs
(*.f64 -1000000000/23533438303 z)
(+.f64 (.f64 (-.f64 (.f64 500000000/23533438303 (+.f64 (.f64 -2 y) z)) (.f64 -156699607947000000000/553822718361107519809 z)) x) (*.f64 -1000000000/23533438303 z))
(fma.f64 (+.f64 (.f64 500000000/23533438303 (fma.f64 -2 y z)) (.f64 156699607947000000000/553822718361107519809 z)) x (*.f64 -1000000000/23533438303 z))
(fma.f64 -1000000000/23533438303 z (.f64 (fma.f64 500000000/23533438303 (fma.f64 -2 y z) (.f64 z 156699607947000000000/553822718361107519809)) x))
(fma.f64 -1000000000/23533438303 z (.f64 (fma.f64 -1000000000/23533438303 y (.f64 z 168466327098500000000/553822718361107519809)) x))
(+.f64 (.f64 (-.f64 (.f64 500000000/23533438303 (+.f64 (.f64 -2 y) z)) (.f64 -156699607947000000000/553822718361107519809 z)) x) (+.f64 (.f64 -1000000000/23533438303 z) (.f64 (-.f64 (.f64 500000000/23533438303 (-.f64 y 4297481763/15625000)) (+.f64 (.f64 -131752537360500000000/553822718361107519809 z) (.f64 156699607947/23533438303 (-.f64 (.f64 500000000/23533438303 (+.f64 (.f64 -2 y) z)) (.f64 -156699607947000000000/553822718361107519809 z))))) (pow.f64 x 2))))
(fma.f64 (+.f64 (.f64 500000000/23533438303 (fma.f64 -2 y z)) (.f64 156699607947000000000/553822718361107519809 z)) x (fma.f64 -1000000000/23533438303 z (.f64 (-.f64 (.f64 500000000/23533438303 (+.f64 y -4297481763/15625000)) (fma.f64 -131752537360500000000/553822718361107519809 z (.f64 (+.f64 (.f64 500000000/23533438303 (fma.f64 -2 y z)) (.f64 156699607947000000000/553822718361107519809 z)) 156699607947/23533438303))) (.f64 x x))))
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(fma.f64 -1000000000/23533438303 z (.f64 x (+.f64 (fma.f64 -1000000000/23533438303 y (.f64 z 168466327098500000000/553822718361107519809)) (.f64 x (-.f64 (fma.f64 500000000/23533438303 y -137519416416/23533438303) (fma.f64 z -131752537360500000000/553822718361107519809 (.f64 (fma.f64 -1000000000/23533438303 y (*.f64 z 168466327098500000000/553822718361107519809)) 156699607947/23533438303)))))))
(fma.f64 -1000000000/23533438303 z (.f64 x (+.f64 (fma.f64 -1000000000/23533438303 y (.f64 z 168466327098500000000/553822718361107519809)) (.f64 x (fma.f64 500000000/23533438303 (+.f64 y -4297481763/15625000) (-.f64 (.f64 (fma.f64 -2 y z) -78349803973500000000/553822718361107519809) (*.f64 z 21454176921506476335577500000000/13033352773350869092174451844127)))))))
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(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 42538268123328926720049/25000000000000000000 (pow.f64 x 5)) (/.f64 -226700011257/5000000000 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 42538268123328926720049/25000000000000000000 (/.f64 1 (pow.f64 x 5))) (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 226700011257/5000000000 (/.f64 1 (pow.f64 x 4))) (*.f64 7763802998027229531190921387591593/125000000000000000000000000000 (/.f64 1 (pow.f64 x 6)))))
(-.f64 (+.f64 (/.f64 42538268123328926720049/25000000000000000000 (pow.f64 x 5)) (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 226700011257/5000000000 (pow.f64 x 4)))) (/.f64 7763802998027229531190921387591593/125000000000000000000000000000 (pow.f64 x 6)))
(+.f64 (/.f64 42538268123328926720049/25000000000000000000 (pow.f64 x 5)) (-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -226700011257/5000000000 (pow.f64 x 4))) (/.f64 7763802998027229531190921387591593/125000000000000000000000000000 (pow.f64 x 6))))
(+.f64 (/.f64 42538268123328926720049/25000000000000000000 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 -226700011257/5000000000 (pow.f64 x 4)) (/.f64 -7763802998027229531190921387591593/125000000000000000000000000000 (pow.f64 x 6)))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 -226700011257/5000000000 (pow.f64 x 4)) (+.f64 (/.f64 42538268123328926720049/25000000000000000000 (pow.f64 x 5)) (/.f64 -7763802998027229531190921387591593/125000000000000000000000000000 (pow.f64 x 6)))))
(/.f64 1 (pow.f64 x 3))
(-.f64 (/.f64 1 (pow.f64 x 3)) (*.f64 226700011257/5000000000 (/.f64 1 (pow.f64 x 4))))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 226700011257/5000000000 (pow.f64 x 4)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -226700011257/5000000000 (pow.f64 x 4)))
(-.f64 (+.f64 (.f64 42538268123328926720049/25000000000000000000 (/.f64 1 (pow.f64 x 5))) (/.f64 1 (pow.f64 x 3))) (.f64 226700011257/5000000000 (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 42538268123328926720049/25000000000000000000 (pow.f64 x 5)) (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 226700011257/5000000000 (pow.f64 x 4))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 42538268123328926720049/25000000000000000000 (pow.f64 x 5)) (/.f64 226700011257/5000000000 (pow.f64 x 4))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 42538268123328926720049/25000000000000000000 (pow.f64 x 5)) (/.f64 -226700011257/5000000000 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 42538268123328926720049/25000000000000000000 (/.f64 1 (pow.f64 x 5))) (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 226700011257/5000000000 (/.f64 1 (pow.f64 x 4))) (*.f64 7763802998027229531190921387591593/125000000000000000000000000000 (/.f64 1 (pow.f64 x 6)))))
(-.f64 (+.f64 (/.f64 42538268123328926720049/25000000000000000000 (pow.f64 x 5)) (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 226700011257/5000000000 (pow.f64 x 4)))) (/.f64 7763802998027229531190921387591593/125000000000000000000000000000 (pow.f64 x 6)))
(+.f64 (/.f64 42538268123328926720049/25000000000000000000 (pow.f64 x 5)) (-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -226700011257/5000000000 (pow.f64 x 4))) (/.f64 7763802998027229531190921387591593/125000000000000000000000000000 (pow.f64 x 6))))
(+.f64 (/.f64 42538268123328926720049/25000000000000000000 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 -226700011257/5000000000 (pow.f64 x 4)) (/.f64 -7763802998027229531190921387591593/125000000000000000000000000000 (pow.f64 x 6)))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 -226700011257/5000000000 (pow.f64 x 4)) (+.f64 (/.f64 42538268123328926720049/25000000000000000000 (pow.f64 x 5)) (/.f64 -7763802998027229531190921387591593/125000000000000000000000000000 (pow.f64 x 6)))))

localize4.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.6b	(*.f64 x 104109730557/25000000000)

Compiler

Compiled 8 to 6 computations (25% saved)

localize17.0ms (0.1%)

Local error

Found 3 expressions with local error:

New

Error

Program

✓

0.0b

(-.f64 104109730557/25000000000 (*.f64 12723143231740136880149/125000000000000000000 (/.f64 1 x)))

✓

0.3b

(*.f64 (+.f64 x -2) (-.f64 104109730557/25000000000 (*.f64 12723143231740136880149/125000000000000000000 (/.f64 1 x))))

✓

0.3b

(*.f64 12723143231740136880149/125000000000000000000 (/.f64 1 x))

Compiler

Compiled 37 to 30 computations (18.9% saved)

series5.0ms (0%)

Counts

3 → 27

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(*.f64 12723143231740136880149/125000000000000000000 (/.f64 1 x))
1.0ms	x	@	0	(*.f64 12723143231740136880149/125000000000000000000 (/.f64 1 x))
0.0ms	x	@	0	(.f64 (+.f64 x -2) (-.f64 104109730557/25000000000 (.f64 12723143231740136880149/125000000000000000000 (/.f64 1 x))))
0.0ms	x	@	-inf	(.f64 (+.f64 x -2) (-.f64 104109730557/25000000000 (.f64 12723143231740136880149/125000000000000000000 (/.f64 1 x))))
0.0ms	x	@	-inf	(*.f64 12723143231740136880149/125000000000000000000 (/.f64 1 x))

rewrite96.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

496×	`log-prod_binary64`
309×	`pow-prod-down_binary64`
297×	`pow2_binary64`
208×	`expm1-udef_binary64`
208×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	24
1	249	24
2	3102	24

Stop Event

1×	node limit

Counts

3 → 131

Calls

Call 1

Inputs

(*.f64 12723143231740136880149/125000000000000000000 (/.f64 1 x))

(*.f64 (+.f64 x -2) (-.f64 104109730557/25000000000 (*.f64 12723143231740136880149/125000000000000000000 (/.f64 1 x))))

(-.f64 104109730557/25000000000 (*.f64 12723143231740136880149/125000000000000000000 (/.f64 1 x)))

Outputs

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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -4) (-.f64 1128428295162862690821234941118693/15625000000000000000000000000000 (*.f64 (pow.f64 x -3) 2059601734647409189681626961129620613782216990037768112413421947949/1953125000000000000000000000000000000000000000000000000000000))) (*.f64 (+.f64 x 2) (fma.f64 (/.f64 12723143231740136880149/125000000000000000000 x) (+.f64 (/.f64 12723143231740136880149/125000000000000000000 x) 104109730557/25000000000) 10838835996651139530249/625000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -8 (pow.f64 x 3)) (-.f64 10838835996651139530249/625000000000000000000 (*.f64 (pow.f64 x -2) 161878373695374854434910217844194695190262201/15625000000000000000000000000000000000000))) (*.f64 (-.f64 (fma.f64 x x 4) (*.f64 x -2)) (+.f64 (/.f64 12723143231740136880149/125000000000000000000 x) 104109730557/25000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -4) (-.f64 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x))) (sqrt.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1128428295162862690821234941118693/15625000000000000000000000000000 (*.f64 (pow.f64 x -3) 2059601734647409189681626961129620613782216990037768112413421947949/1953125000000000000000000000000000000000000000000000000000000)) (/.f64 1 (fma.f64 (/.f64 12723143231740136880149/125000000000000000000 x) (+.f64 (/.f64 12723143231740136880149/125000000000000000000 x) 104109730557/25000000000) 10838835996651139530249/625000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 10838835996651139530249/625000000000000000000 (*.f64 (pow.f64 x -2) 161878373695374854434910217844194695190262201/15625000000000000000000000000000000000000)) (/.f64 1 (+.f64 (/.f64 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(2) ((x pow.f64 (sqrt.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (/.f64 12723143231740136880149/125000000000000000000 x) (+.f64 (/.f64 12723143231740136880149/125000000000000000000 x) 104109730557/25000000000) 10838835996651139530249/625000000000000000000) (-.f64 1128428295162862690821234941118693/15625000000000000000000000000000 (*.f64 (pow.f64 x -3) 2059601734647409189681626961129620613782216990037768112413421947949/1953125000000000000000000000000000000000000000000000000000000))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (/.f64 12723143231740136880149/125000000000000000000 x) 104109730557/25000000000) (-.f64 10838835996651139530249/625000000000000000000 (*.f64 (pow.f64 x -2) 161878373695374854434910217844194695190262201/15625000000000000000000000000000000000000))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 104109730557/25000000000 (/.f64 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12723143231740136880149/125000000000000000000 (neg.f64 (/.f64 1 x)) 104109730557/25000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -12723143231740136880149/125000000000000000000 x) 104109730557/25000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 x) -12723143231740136880149/125000000000000000000 104109730557/25000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 12723143231740136880149/125000000000000000000 x)) 2) (neg.f64 (cbrt.f64 (/.f64 12723143231740136880149/125000000000000000000 x))) 104109730557/25000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 12723143231740136880149/125000000000000000000 x)) (neg.f64 (sqrt.f64 (/.f64 12723143231740136880149/125000000000000000000 x))) 104109730557/25000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 12723143231740136880149/125000000000000000000 x) 104109730557/25000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -12723143231740136880149/125000000000000000000 (/.f64 1 x) 104109730557/25000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 -12723143231740136880149/125000000000000000000 x)) 2) (cbrt.f64 (/.f64 -12723143231740136880149/125000000000000000000 x)) 104109730557/25000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -12723143231740136880149/125000000000000000000 x)) (sqrt.f64 (/.f64 -12723143231740136880149/125000000000000000000 x)) 104109730557/25000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (/.f64 1 x)) 12723143231740136880149/125000000000000000000 104109730557/25000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 12723143231740136880149/125000000000000000000 x)) 2)) (cbrt.f64 (/.f64 12723143231740136880149/125000000000000000000 x)) 104109730557/25000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (/.f64 12723143231740136880149/125000000000000000000 x))) (sqrt.f64 (/.f64 12723143231740136880149/125000000000000000000 x)) 104109730557/25000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -12723143231740136880149/125000000000000000000 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)) 104109730557/25000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -12723143231740136880149/125000000000000000000 (pow.f64 x -1/2)) (pow.f64 x -1/2) 104109730557/25000000000)))))

simplify77.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

235×	`fma-neg_binary64`
76×	`associate-/l*_binary64`
70×	`fma-def_binary64`
58×	`associate-/r*_binary64`
56×	`associate-/r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	149
1	37	149
2	51	149
3	55	149
4	81	149
5	120	149
6	213	149
7	432	149
8	623	149
9	751	149
10	840	149
11	877	149
12	951	149
13	1063	149
14	1151	149
15	1189	149
16	1207	149

Stop Event

1×

saturated

Counts

158 → 143

Calls

Call 1

Inputs
(/.f64 12723143231740136880149/125000000000000000000 x)
(/.f64 12723143231740136880149/125000000000000000000 x)
(/.f64 12723143231740136880149/125000000000000000000 x)
(/.f64 12723143231740136880149/125000000000000000000 x)
(/.f64 12723143231740136880149/125000000000000000000 x)
(/.f64 12723143231740136880149/125000000000000000000 x)
(/.f64 12723143231740136880149/125000000000000000000 x)
(/.f64 12723143231740136880149/125000000000000000000 x)
(/.f64 12723143231740136880149/125000000000000000000 x)
(/.f64 12723143231740136880149/125000000000000000000 x)
(/.f64 12723143231740136880149/125000000000000000000 x)
(/.f64 12723143231740136880149/125000000000000000000 x)
(/.f64 12723143231740136880149/62500000000000000000 x)
(-.f64 (*.f64 12723143231740136880149/62500000000000000000 (/.f64 1 x)) 13764240537310136880149/125000000000000000000)
(-.f64 (+.f64 (.f64 104109730557/25000000000 x) (.f64 12723143231740136880149/62500000000000000000 (/.f64 1 x))) 13764240537310136880149/125000000000000000000)
(-.f64 (+.f64 (.f64 104109730557/25000000000 x) (.f64 12723143231740136880149/62500000000000000000 (/.f64 1 x))) 13764240537310136880149/125000000000000000000)
(*.f64 104109730557/25000000000 x)
(-.f64 (*.f64 104109730557/25000000000 x) 13764240537310136880149/125000000000000000000)
(-.f64 (+.f64 (.f64 12723143231740136880149/62500000000000000000 (/.f64 1 x)) (.f64 104109730557/25000000000 x)) 13764240537310136880149/125000000000000000000)
(-.f64 (+.f64 (.f64 12723143231740136880149/62500000000000000000 (/.f64 1 x)) (.f64 104109730557/25000000000 x)) 13764240537310136880149/125000000000000000000)
(*.f64 104109730557/25000000000 x)
(-.f64 (*.f64 104109730557/25000000000 x) 13764240537310136880149/125000000000000000000)
(-.f64 (+.f64 (.f64 12723143231740136880149/62500000000000000000 (/.f64 1 x)) (.f64 104109730557/25000000000 x)) 13764240537310136880149/125000000000000000000)
(-.f64 (+.f64 (.f64 12723143231740136880149/62500000000000000000 (/.f64 1 x)) (.f64 104109730557/25000000000 x)) 13764240537310136880149/125000000000000000000)
(/.f64 -12723143231740136880149/125000000000000000000 x)
104109730557/25000000000
104109730557/25000000000

Outputs
(/.f64 12723143231740136880149/125000000000000000000 x)
(/.f64 12723143231740136880149/125000000000000000000 x)
(/.f64 12723143231740136880149/125000000000000000000 x)
(/.f64 12723143231740136880149/125000000000000000000 x)
(/.f64 12723143231740136880149/125000000000000000000 x)
(/.f64 12723143231740136880149/125000000000000000000 x)
(/.f64 12723143231740136880149/125000000000000000000 x)
(/.f64 12723143231740136880149/125000000000000000000 x)
(/.f64 12723143231740136880149/125000000000000000000 x)
(/.f64 12723143231740136880149/125000000000000000000 x)
(/.f64 12723143231740136880149/125000000000000000000 x)
(/.f64 12723143231740136880149/125000000000000000000 x)
(/.f64 12723143231740136880149/62500000000000000000 x)
(-.f64 (*.f64 12723143231740136880149/62500000000000000000 (/.f64 1 x)) 13764240537310136880149/125000000000000000000)
(+.f64 (/.f64 12723143231740136880149/62500000000000000000 x) -13764240537310136880149/125000000000000000000)
(-.f64 (+.f64 (.f64 104109730557/25000000000 x) (.f64 12723143231740136880149/62500000000000000000 (/.f64 1 x))) 13764240537310136880149/125000000000000000000)
(+.f64 (/.f64 12723143231740136880149/62500000000000000000 x) (fma.f64 104109730557/25000000000 x -13764240537310136880149/125000000000000000000))
(+.f64 (/.f64 12723143231740136880149/62500000000000000000 x) (fma.f64 x 104109730557/25000000000 -13764240537310136880149/125000000000000000000))
(-.f64 (fma.f64 x 104109730557/25000000000 -13764240537310136880149/125000000000000000000) (/.f64 -12723143231740136880149/62500000000000000000 x))
(-.f64 (/.f64 12723143231740136880149/62500000000000000000 x) (fma.f64 x -104109730557/25000000000 13764240537310136880149/125000000000000000000))
(-.f64 (+.f64 (.f64 104109730557/25000000000 x) (.f64 12723143231740136880149/62500000000000000000 (/.f64 1 x))) 13764240537310136880149/125000000000000000000)
(+.f64 (/.f64 12723143231740136880149/62500000000000000000 x) (fma.f64 104109730557/25000000000 x -13764240537310136880149/125000000000000000000))
(+.f64 (/.f64 12723143231740136880149/62500000000000000000 x) (fma.f64 x 104109730557/25000000000 -13764240537310136880149/125000000000000000000))
(-.f64 (fma.f64 x 104109730557/25000000000 -13764240537310136880149/125000000000000000000) (/.f64 -12723143231740136880149/62500000000000000000 x))
(-.f64 (/.f64 12723143231740136880149/62500000000000000000 x) (fma.f64 x -104109730557/25000000000 13764240537310136880149/125000000000000000000))
(*.f64 104109730557/25000000000 x)
(*.f64 x 104109730557/25000000000)
(-.f64 (*.f64 104109730557/25000000000 x) 13764240537310136880149/125000000000000000000)
(fma.f64 104109730557/25000000000 x -13764240537310136880149/125000000000000000000)
(fma.f64 x 104109730557/25000000000 -13764240537310136880149/125000000000000000000)
(-.f64 (+.f64 (.f64 12723143231740136880149/62500000000000000000 (/.f64 1 x)) (.f64 104109730557/25000000000 x)) 13764240537310136880149/125000000000000000000)
(+.f64 (/.f64 12723143231740136880149/62500000000000000000 x) (fma.f64 104109730557/25000000000 x -13764240537310136880149/125000000000000000000))
(+.f64 (/.f64 12723143231740136880149/62500000000000000000 x) (fma.f64 x 104109730557/25000000000 -13764240537310136880149/125000000000000000000))
(-.f64 (fma.f64 x 104109730557/25000000000 -13764240537310136880149/125000000000000000000) (/.f64 -12723143231740136880149/62500000000000000000 x))
(-.f64 (/.f64 12723143231740136880149/62500000000000000000 x) (fma.f64 x -104109730557/25000000000 13764240537310136880149/125000000000000000000))
(-.f64 (+.f64 (.f64 12723143231740136880149/62500000000000000000 (/.f64 1 x)) (.f64 104109730557/25000000000 x)) 13764240537310136880149/125000000000000000000)
(+.f64 (/.f64 12723143231740136880149/62500000000000000000 x) (fma.f64 104109730557/25000000000 x -13764240537310136880149/125000000000000000000))
(+.f64 (/.f64 12723143231740136880149/62500000000000000000 x) (fma.f64 x 104109730557/25000000000 -13764240537310136880149/125000000000000000000))
(-.f64 (fma.f64 x 104109730557/25000000000 -13764240537310136880149/125000000000000000000) (/.f64 -12723143231740136880149/62500000000000000000 x))
(-.f64 (/.f64 12723143231740136880149/62500000000000000000 x) (fma.f64 x -104109730557/25000000000 13764240537310136880149/125000000000000000000))
(*.f64 104109730557/25000000000 x)
(*.f64 x 104109730557/25000000000)
(-.f64 (*.f64 104109730557/25000000000 x) 13764240537310136880149/125000000000000000000)
(fma.f64 104109730557/25000000000 x -13764240537310136880149/125000000000000000000)
(fma.f64 x 104109730557/25000000000 -13764240537310136880149/125000000000000000000)
(-.f64 (+.f64 (.f64 12723143231740136880149/62500000000000000000 (/.f64 1 x)) (.f64 104109730557/25000000000 x)) 13764240537310136880149/125000000000000000000)
(+.f64 (/.f64 12723143231740136880149/62500000000000000000 x) (fma.f64 104109730557/25000000000 x -13764240537310136880149/125000000000000000000))
(+.f64 (/.f64 12723143231740136880149/62500000000000000000 x) (fma.f64 x 104109730557/25000000000 -13764240537310136880149/125000000000000000000))
(-.f64 (fma.f64 x 104109730557/25000000000 -13764240537310136880149/125000000000000000000) (/.f64 -12723143231740136880149/62500000000000000000 x))
(-.f64 (/.f64 12723143231740136880149/62500000000000000000 x) (fma.f64 x -104109730557/25000000000 13764240537310136880149/125000000000000000000))
(-.f64 (+.f64 (.f64 12723143231740136880149/62500000000000000000 (/.f64 1 x)) (.f64 104109730557/25000000000 x)) 13764240537310136880149/125000000000000000000)
(+.f64 (/.f64 12723143231740136880149/62500000000000000000 x) (fma.f64 104109730557/25000000000 x -13764240537310136880149/125000000000000000000))
(+.f64 (/.f64 12723143231740136880149/62500000000000000000 x) (fma.f64 x 104109730557/25000000000 -13764240537310136880149/125000000000000000000))
(-.f64 (fma.f64 x 104109730557/25000000000 -13764240537310136880149/125000000000000000000) (/.f64 -12723143231740136880149/62500000000000000000 x))
(-.f64 (/.f64 12723143231740136880149/62500000000000000000 x) (fma.f64 x -104109730557/25000000000 13764240537310136880149/125000000000000000000))
(/.f64 -12723143231740136880149/125000000000000000000 x)
104109730557/25000000000
104109730557/25000000000

localize41.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 x (+.f64 216700011257/5000000000 x))
✓	0.1b	(.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x)
✓	0.4b	(.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)
✓	8.8b	(/.f64 (.f64 z (-.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000))

Compiler

Compiled 102 to 72 computations (29.4% saved)

series11.0ms (0%)

Counts

4 → 56

Calls

15 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(/.f64 (.f64 z (-.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000))
2.0ms	z	@	0	(/.f64 (.f64 z (-.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000))
1.0ms	z	@	inf	(/.f64 (.f64 z (-.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000))
1.0ms	x	@	0	(/.f64 (.f64 z (-.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000))
1.0ms	x	@	inf	(/.f64 (.f64 z (-.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000))

rewrite210.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

580×	`prod-diff_binary64`
382×	`expm1-udef_binary64`
382×	`log1p-udef_binary64`
217×	`add-sqr-sqrt_binary64`
205×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	68
1	427	58
2	5927	58

Stop Event

1×	node limit

Counts

4 → 111

Calls

Call 1

Inputs
(/.f64 (.f64 z (-.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000))
(.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)
(.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x)
(*.f64 x (+.f64 216700011257/5000000000 x))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 z (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) (+.f64 x -2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 z (/.f64 1 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) (+.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 z (.f64 (+.f64 x -2) (/.f64 1 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 x -2) (.f64 z (/.f64 1 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 z (+.f64 x -2)) (/.f64 1 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 z (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) (+.f64 x -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 z (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) (+.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 z (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) (+.f64 x -2)))) (pow.f64 (cbrt.f64 (/.f64 z (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) (+.f64 x -2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 z (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) (+.f64 x -2)))) 2) (cbrt.f64 (/.f64 z (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) (+.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (.f64 z (+.f64 x -2)) 2)) (.f64 (cbrt.f64 (.f64 z (+.f64 x -2))) (/.f64 1 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 z (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) (+.f64 x -2)))) (sqrt.f64 (/.f64 z (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) (+.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 z (+.f64 x -2))) (.f64 (sqrt.f64 (.f64 z (+.f64 x -2))) (/.f64 1 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 x -2) (neg.f64 z)) (/.f64 1 (neg.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (.f64 z (+.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 z 1) (/.f64 (+.f64 x -2) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 x -2) 1) (/.f64 z (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 z (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (+.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (.f64 z (+.f64 x -2)) 2)) 1) (/.f64 (cbrt.f64 (.f64 z (+.f64 x -2))) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (.f64 z (+.f64 x -2))) 1) (/.f64 (sqrt.f64 (.f64 z (+.f64 x -2))) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 z (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) 2)) (/.f64 (+.f64 x -2) (cbrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 x -2) (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) 2)) (/.f64 z (cbrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) 2)) (/.f64 (.f64 z (+.f64 x -2)) (cbrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (.f64 z (+.f64 x -2)) 2)) (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) 2)) (cbrt.f64 (/.f64 z (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) (+.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (.f64 z (+.f64 x -2))) (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) 2)) (/.f64 (sqrt.f64 (.f64 z (+.f64 x -2))) 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simplify81.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

900×	`fma-neg_binary64`
630×	`fma-def_binary64`
281×	`times-frac_binary64`
263×	`distribute-rgt-neg-in_binary64`
255×	`associate-+l+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	128	1091
1	375	934
2	1238	812
3	5551	803

Stop Event

1×	node limit

Counts

167 → 160

Calls

Call 1

Inputs
(/.f64 (.f64 z (-.f64 x 2)) (+.f64 23533438303/500000000 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 (.f64 (+.f64 216700011257/5000000000 x) x) 263505074721/1000000000) x)) x)))
(/.f64 (.f64 z (-.f64 x 2)) (+.f64 23533438303/500000000 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 (.f64 (+.f64 216700011257/5000000000 x) x) 263505074721/1000000000) x)) x)))
(/.f64 (.f64 z (-.f64 x 2)) (+.f64 23533438303/500000000 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 (.f64 (+.f64 216700011257/5000000000 x) x) 263505074721/1000000000) x)) x)))
(/.f64 (.f64 z (-.f64 x 2)) (+.f64 23533438303/500000000 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 (.f64 (+.f64 216700011257/5000000000 x) x) 263505074721/1000000000) x)) x)))
(/.f64 (.f64 z (-.f64 x 2)) (+.f64 23533438303/500000000 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 (.f64 (+.f64 216700011257/5000000000 x) x) 263505074721/1000000000) x)) x)))
(/.f64 (.f64 z (-.f64 x 2)) (+.f64 23533438303/500000000 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 (.f64 (+.f64 216700011257/5000000000 x) x) 263505074721/1000000000) x)) x)))
(/.f64 (.f64 z (-.f64 x 2)) (+.f64 23533438303/500000000 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 (.f64 (+.f64 216700011257/5000000000 x) x) 263505074721/1000000000) x)) x)))
(/.f64 (.f64 z (-.f64 x 2)) (+.f64 23533438303/500000000 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 (.f64 (+.f64 216700011257/5000000000 x) x) 263505074721/1000000000) x)) x)))
(*.f64 -1000000000/23533438303 z)
(+.f64 (.f64 (-.f64 (.f64 500000000/23533438303 z) (.f64 -156699607947000000000/553822718361107519809 z)) x) (.f64 -1000000000/23533438303 z))
(+.f64 (.f64 (-.f64 (.f64 500000000/23533438303 z) (.f64 -156699607947000000000/553822718361107519809 z)) x) (+.f64 (.f64 -1000000000/23533438303 z) (.f64 -1 (.f64 (+.f64 (.f64 156699607947/23533438303 (-.f64 (.f64 500000000/23533438303 z) (.f64 -156699607947000000000/553822718361107519809 z))) (.f64 -131752537360500000000/553822718361107519809 z)) (pow.f64 x 2)))))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 263505074721/47066876606 (-.f64 (.f64 500000000/23533438303 z) (.f64 -156699607947000000000/553822718361107519809 z))) (+.f64 (.f64 -21670001125700000000/553822718361107519809 z) (.f64 -156699607947/23533438303 (+.f64 (.f64 156699607947/23533438303 (-.f64 (.f64 500000000/23533438303 z) (.f64 -156699607947000000000/553822718361107519809 z))) (.f64 -131752537360500000000/553822718361107519809 z))))) (pow.f64 x 3))) (+.f64 (.f64 (-.f64 (.f64 500000000/23533438303 z) (.f64 -156699607947000000000/553822718361107519809 z)) x) (+.f64 (.f64 -1000000000/23533438303 z) (.f64 -1 (.f64 (+.f64 (.f64 156699607947/23533438303 (-.f64 (.f64 500000000/23533438303 z) (.f64 -156699607947000000000/553822718361107519809 z))) (*.f64 -131752537360500000000/553822718361107519809 z)) (pow.f64 x 2))))))
(/.f64 z (pow.f64 x 3))
(-.f64 (+.f64 (/.f64 z (pow.f64 x 3)) (.f64 -2 (/.f64 z (pow.f64 x 4)))) (.f64 216700011257/5000000000 (/.f64 z (pow.f64 x 4))))
(-.f64 (+.f64 (/.f64 z (pow.f64 x 3)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 263505074721/1000000000 z) (.f64 216700011257/5000000000 (-.f64 (.f64 -2 z) (.f64 216700011257/5000000000 z)))) (pow.f64 x 5))) (.f64 -2 (/.f64 z (pow.f64 x 4))))) (*.f64 216700011257/5000000000 (/.f64 z (pow.f64 x 4))))
(-.f64 (+.f64 (/.f64 z (pow.f64 x 3)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -216700011257/5000000000 (+.f64 (.f64 263505074721/1000000000 z) (.f64 216700011257/5000000000 (-.f64 (.f64 -2 z) (.f64 216700011257/5000000000 z))))) (+.f64 (.f64 156699607947/500000000 z) (.f64 263505074721/1000000000 (-.f64 (.f64 -2 z) (.f64 216700011257/5000000000 z))))) (pow.f64 x 6))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 263505074721/1000000000 z) (.f64 216700011257/5000000000 (-.f64 (.f64 -2 z) (.f64 216700011257/5000000000 z)))) (pow.f64 x 5))) (.f64 -2 (/.f64 z (pow.f64 x 4)))))) (*.f64 216700011257/5000000000 (/.f64 z (pow.f64 x 4))))
(/.f64 z (pow.f64 x 3))
(+.f64 (/.f64 z (pow.f64 x 3)) (.f64 -1 (/.f64 (-.f64 (.f64 2 z) (*.f64 -216700011257/5000000000 z)) (pow.f64 x 4))))
(+.f64 (/.f64 z (pow.f64 x 3)) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 2 z) (.f64 -216700011257/5000000000 z)) (pow.f64 x 4))) (.f64 -1 (/.f64 (+.f64 (.f64 263505074721/1000000000 z) (.f64 -216700011257/5000000000 (-.f64 (.f64 2 z) (.f64 -216700011257/5000000000 z)))) (pow.f64 x 5)))))
(+.f64 (.f64 216700011257/5000000000 (/.f64 (+.f64 (.f64 263505074721/1000000000 z) (.f64 -216700011257/5000000000 (-.f64 (.f64 2 z) (.f64 -216700011257/5000000000 z)))) (pow.f64 x 6))) (+.f64 (.f64 -156699607947/500000000 (/.f64 z (pow.f64 x 6))) (+.f64 (/.f64 z (pow.f64 x 3)) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 2 z) (.f64 -216700011257/5000000000 z)) (pow.f64 x 4))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 263505074721/1000000000 z) (.f64 -216700011257/5000000000 (-.f64 (.f64 2 z) (.f64 -216700011257/5000000000 z)))) (pow.f64 x 5))) (.f64 263505074721/1000000000 (/.f64 (-.f64 (.f64 2 z) (*.f64 -216700011257/5000000000 z)) (pow.f64 x 6))))))))
(*.f64 263505074721/1000000000 x)
(+.f64 (.f64 216700011257/5000000000 (pow.f64 x 2)) (.f64 263505074721/1000000000 x))
(+.f64 (.f64 216700011257/5000000000 (pow.f64 x 2)) (+.f64 (.f64 263505074721/1000000000 x) (pow.f64 x 3)))
(+.f64 (.f64 216700011257/5000000000 (pow.f64 x 2)) (+.f64 (.f64 263505074721/1000000000 x) (pow.f64 x 3)))
(pow.f64 x 3)
(+.f64 (*.f64 216700011257/5000000000 (pow.f64 x 2)) (pow.f64 x 3))
(+.f64 (.f64 216700011257/5000000000 (pow.f64 x 2)) (+.f64 (.f64 263505074721/1000000000 x) (pow.f64 x 3)))
(+.f64 (.f64 216700011257/5000000000 (pow.f64 x 2)) (+.f64 (.f64 263505074721/1000000000 x) (pow.f64 x 3)))
(pow.f64 x 3)
(+.f64 (*.f64 216700011257/5000000000 (pow.f64 x 2)) (pow.f64 x 3))
(+.f64 (.f64 216700011257/5000000000 (pow.f64 x 2)) (+.f64 (.f64 263505074721/1000000000 x) (pow.f64 x 3)))
(+.f64 (.f64 216700011257/5000000000 (pow.f64 x 2)) (+.f64 (.f64 263505074721/1000000000 x) (pow.f64 x 3)))
(*.f64 156699607947/500000000 x)
(+.f64 (.f64 156699607947/500000000 x) (.f64 263505074721/1000000000 (pow.f64 x 2)))
(+.f64 (.f64 156699607947/500000000 x) (+.f64 (.f64 216700011257/5000000000 (pow.f64 x 3)) (*.f64 263505074721/1000000000 (pow.f64 x 2))))
(+.f64 (.f64 156699607947/500000000 x) (+.f64 (.f64 216700011257/5000000000 (pow.f64 x 3)) (+.f64 (*.f64 263505074721/1000000000 (pow.f64 x 2)) (pow.f64 x 4))))
(pow.f64 x 4)
(+.f64 (*.f64 216700011257/5000000000 (pow.f64 x 3)) (pow.f64 x 4))
(+.f64 (.f64 216700011257/5000000000 (pow.f64 x 3)) (+.f64 (.f64 263505074721/1000000000 (pow.f64 x 2)) (pow.f64 x 4)))
(+.f64 (.f64 156699607947/500000000 x) (+.f64 (.f64 216700011257/5000000000 (pow.f64 x 3)) (+.f64 (*.f64 263505074721/1000000000 (pow.f64 x 2)) (pow.f64 x 4))))
(pow.f64 x 4)
(+.f64 (*.f64 216700011257/5000000000 (pow.f64 x 3)) (pow.f64 x 4))
(+.f64 (.f64 216700011257/5000000000 (pow.f64 x 3)) (+.f64 (.f64 263505074721/1000000000 (pow.f64 x 2)) (pow.f64 x 4)))
(+.f64 (.f64 156699607947/500000000 x) (+.f64 (.f64 216700011257/5000000000 (pow.f64 x 3)) (+.f64 (*.f64 263505074721/1000000000 (pow.f64 x 2)) (pow.f64 x 4))))
(*.f64 216700011257/5000000000 x)
(+.f64 (pow.f64 x 2) (*.f64 216700011257/5000000000 x))
(+.f64 (pow.f64 x 2) (*.f64 216700011257/5000000000 x))
(+.f64 (pow.f64 x 2) (*.f64 216700011257/5000000000 x))
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (*.f64 216700011257/5000000000 x))
(+.f64 (pow.f64 x 2) (*.f64 216700011257/5000000000 x))
(+.f64 (pow.f64 x 2) (*.f64 216700011257/5000000000 x))
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (*.f64 216700011257/5000000000 x))
(+.f64 (pow.f64 x 2) (*.f64 216700011257/5000000000 x))
(+.f64 (pow.f64 x 2) (*.f64 216700011257/5000000000 x))

Outputs
(/.f64 (.f64 z (-.f64 x 2)) (+.f64 23533438303/500000000 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 (.f64 (+.f64 216700011257/5000000000 x) x) 263505074721/1000000000) x)) x)))
(/.f64 z (/.f64 (+.f64 23533438303/500000000 (.f64 x (+.f64 156699607947/500000000 (.f64 x (fma.f64 (+.f64 x 216700011257/5000000000) x 263505074721/1000000000))))) (+.f64 x -2)))
(*.f64 (/.f64 z (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (+.f64 x -2))
(*.f64 (+.f64 x -2) (/.f64 z (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))
(/.f64 (.f64 z (-.f64 x 2)) (+.f64 23533438303/500000000 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 (.f64 (+.f64 216700011257/5000000000 x) x) 263505074721/1000000000) x)) x)))
(/.f64 z (/.f64 (+.f64 23533438303/500000000 (.f64 x (+.f64 156699607947/500000000 (.f64 x (fma.f64 (+.f64 x 216700011257/5000000000) x 263505074721/1000000000))))) (+.f64 x -2)))
(*.f64 (/.f64 z (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (+.f64 x -2))
(*.f64 (+.f64 x -2) (/.f64 z (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))
(/.f64 (.f64 z (-.f64 x 2)) (+.f64 23533438303/500000000 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 (.f64 (+.f64 216700011257/5000000000 x) x) 263505074721/1000000000) x)) x)))
(/.f64 z (/.f64 (+.f64 23533438303/500000000 (.f64 x (+.f64 156699607947/500000000 (.f64 x (fma.f64 (+.f64 x 216700011257/5000000000) x 263505074721/1000000000))))) (+.f64 x -2)))
(*.f64 (/.f64 z (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (+.f64 x -2))
(*.f64 (+.f64 x -2) (/.f64 z (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))
(/.f64 (.f64 z (-.f64 x 2)) (+.f64 23533438303/500000000 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 (.f64 (+.f64 216700011257/5000000000 x) x) 263505074721/1000000000) x)) x)))
(/.f64 z (/.f64 (+.f64 23533438303/500000000 (.f64 x (+.f64 156699607947/500000000 (.f64 x (fma.f64 (+.f64 x 216700011257/5000000000) x 263505074721/1000000000))))) (+.f64 x -2)))
(*.f64 (/.f64 z (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (+.f64 x -2))
(*.f64 (+.f64 x -2) (/.f64 z (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))
(/.f64 (.f64 z (-.f64 x 2)) (+.f64 23533438303/500000000 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 (.f64 (+.f64 216700011257/5000000000 x) x) 263505074721/1000000000) x)) x)))
(/.f64 z (/.f64 (+.f64 23533438303/500000000 (.f64 x (+.f64 156699607947/500000000 (.f64 x (fma.f64 (+.f64 x 216700011257/5000000000) x 263505074721/1000000000))))) (+.f64 x -2)))
(*.f64 (/.f64 z (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (+.f64 x -2))
(*.f64 (+.f64 x -2) (/.f64 z (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))
(/.f64 (.f64 z (-.f64 x 2)) (+.f64 23533438303/500000000 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 (.f64 (+.f64 216700011257/5000000000 x) x) 263505074721/1000000000) x)) x)))
(/.f64 z (/.f64 (+.f64 23533438303/500000000 (.f64 x (+.f64 156699607947/500000000 (.f64 x (fma.f64 (+.f64 x 216700011257/5000000000) x 263505074721/1000000000))))) (+.f64 x -2)))
(*.f64 (/.f64 z (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (+.f64 x -2))
(*.f64 (+.f64 x -2) (/.f64 z (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))
(/.f64 (.f64 z (-.f64 x 2)) (+.f64 23533438303/500000000 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 (.f64 (+.f64 216700011257/5000000000 x) x) 263505074721/1000000000) x)) x)))
(/.f64 z (/.f64 (+.f64 23533438303/500000000 (.f64 x (+.f64 156699607947/500000000 (.f64 x (fma.f64 (+.f64 x 216700011257/5000000000) x 263505074721/1000000000))))) (+.f64 x -2)))
(*.f64 (/.f64 z (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (+.f64 x -2))
(*.f64 (+.f64 x -2) (/.f64 z (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))
(/.f64 (.f64 z (-.f64 x 2)) (+.f64 23533438303/500000000 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 (.f64 (+.f64 216700011257/5000000000 x) x) 263505074721/1000000000) x)) x)))
(/.f64 z (/.f64 (+.f64 23533438303/500000000 (.f64 x (+.f64 156699607947/500000000 (.f64 x (fma.f64 (+.f64 x 216700011257/5000000000) x 263505074721/1000000000))))) (+.f64 x -2)))
(*.f64 (/.f64 z (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (+.f64 x -2))
(*.f64 (+.f64 x -2) (/.f64 z (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))
(*.f64 -1000000000/23533438303 z)
(*.f64 z -1000000000/23533438303)
(+.f64 (.f64 (-.f64 (.f64 500000000/23533438303 z) (.f64 -156699607947000000000/553822718361107519809 z)) x) (.f64 -1000000000/23533438303 z))
(fma.f64 (.f64 z 168466327098500000000/553822718361107519809) x (.f64 z -1000000000/23533438303))
(fma.f64 z -1000000000/23533438303 (.f64 (.f64 x z) 168466327098500000000/553822718361107519809))
(.f64 z (+.f64 -1000000000/23533438303 (.f64 x 168466327098500000000/553822718361107519809)))
(+.f64 (.f64 (-.f64 (.f64 500000000/23533438303 z) (.f64 -156699607947000000000/553822718361107519809 z)) x) (+.f64 (.f64 -1000000000/23533438303 z) (.f64 -1 (.f64 (+.f64 (.f64 156699607947/23533438303 (-.f64 (.f64 500000000/23533438303 z) (.f64 -156699607947000000000/553822718361107519809 z))) (.f64 -131752537360500000000/553822718361107519809 z)) (pow.f64 x 2)))))
(fma.f64 (.f64 z 168466327098500000000/553822718361107519809) x (fma.f64 -1000000000/23533438303 z (neg.f64 (.f64 (fma.f64 156699607947/23533438303 (.f64 z 168466327098500000000/553822718361107519809) (.f64 z -131752537360500000000/553822718361107519809)) (*.f64 x x)))))
(-.f64 (fma.f64 z -1000000000/23533438303 (.f64 (.f64 x z) 168466327098500000000/553822718361107519809)) (.f64 x (.f64 x (fma.f64 z -131752537360500000000/553822718361107519809 (*.f64 z 26398607408606012051779500000000/13033352773350869092174451844127)))))
(fma.f64 z -1000000000/23533438303 (.f64 x (+.f64 (neg.f64 (.f64 x (.f64 z 23298017199368982832548000000000/13033352773350869092174451844127))) (.f64 z 168466327098500000000/553822718361107519809))))
(fma.f64 z -1000000000/23533438303 (.f64 x (+.f64 (.f64 x (.f64 z -23298017199368982832548000000000/13033352773350869092174451844127)) (.f64 z 168466327098500000000/553822718361107519809))))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 263505074721/47066876606 (-.f64 (.f64 500000000/23533438303 z) (.f64 -156699607947000000000/553822718361107519809 z))) (+.f64 (.f64 -21670001125700000000/553822718361107519809 z) (.f64 -156699607947/23533438303 (+.f64 (.f64 156699607947/23533438303 (-.f64 (.f64 500000000/23533438303 z) (.f64 -156699607947000000000/553822718361107519809 z))) (.f64 -131752537360500000000/553822718361107519809 z))))) (pow.f64 x 3))) (+.f64 (.f64 (-.f64 (.f64 500000000/23533438303 z) (.f64 -156699607947000000000/553822718361107519809 z)) x) (+.f64 (.f64 -1000000000/23533438303 z) (.f64 -1 (.f64 (+.f64 (.f64 156699607947/23533438303 (-.f64 (.f64 500000000/23533438303 z) (.f64 -156699607947000000000/553822718361107519809 z))) (*.f64 -131752537360500000000/553822718361107519809 z)) (pow.f64 x 2))))))
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(+.f64 (pow.f64 x 2) (*.f64 216700011257/5000000000 x))
(+.f64 (.f64 x x) (.f64 x 216700011257/5000000000))
(*.f64 x (+.f64 x 216700011257/5000000000))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (pow.f64 x 2) (*.f64 216700011257/5000000000 x))
(+.f64 (.f64 x x) (.f64 x 216700011257/5000000000))
(*.f64 x (+.f64 x 216700011257/5000000000))
(+.f64 (pow.f64 x 2) (*.f64 216700011257/5000000000 x))
(+.f64 (.f64 x x) (.f64 x 216700011257/5000000000))
(*.f64 x (+.f64 x 216700011257/5000000000))
(+.f64 (pow.f64 x 2) (*.f64 216700011257/5000000000 x))
(+.f64 (.f64 x x) (.f64 x 216700011257/5000000000))
(*.f64 x (+.f64 x 216700011257/5000000000))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (pow.f64 x 2) (*.f64 216700011257/5000000000 x))
(+.f64 (.f64 x x) (.f64 x 216700011257/5000000000))
(*.f64 x (+.f64 x 216700011257/5000000000))
(+.f64 (pow.f64 x 2) (*.f64 216700011257/5000000000 x))
(+.f64 (.f64 x x) (.f64 x 216700011257/5000000000))
(*.f64 x (+.f64 x 216700011257/5000000000))
(+.f64 (pow.f64 x 2) (*.f64 216700011257/5000000000 x))
(+.f64 (.f64 x x) (.f64 x 216700011257/5000000000))
(*.f64 x (+.f64 x 216700011257/5000000000))

localize48.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (+.f64 x -2) (+.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (.f64 x x)) (/.f64 (+.f64 y -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000) (pow.f64 x 3)))))
✓	1.2b	(/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (*.f64 x x))
✓	4.6b	(/.f64 (+.f64 y -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000) (pow.f64 x 3))
✓	9.3b	(+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (*.f64 x x)) (/.f64 (+.f64 y -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000) (pow.f64 x 3)))

Compiler

Compiled 98 to 66 computations (32.7% saved)

series99.0ms (0.3%)

Counts

4 → 84

Calls

21 calls:

Time	Variable		Point	Expression
73.0ms	x	@	0	(+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (*.f64 x x)) (/.f64 (+.f64 y -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000) (pow.f64 x 3)))
14.0ms	y	@	inf	(.f64 (+.f64 x -2) (+.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (.f64 x x)) (/.f64 (+.f64 y -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000) (pow.f64 x 3)))))
1.0ms	y	@	0	(+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (*.f64 x x)) (/.f64 (+.f64 y -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000) (pow.f64 x 3)))
1.0ms	y	@	0	(.f64 (+.f64 x -2) (+.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (.f64 x x)) (/.f64 (+.f64 y -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000) (pow.f64 x 3)))))
1.0ms	y	@	-inf	(.f64 (+.f64 x -2) (+.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (.f64 x x)) (/.f64 (+.f64 y -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000) (pow.f64 x 3)))))

rewrite233.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

431×	`log1p-udef_binary64`
252×	`add-sqr-sqrt_binary64`
240×	`add-log-exp_binary64`
240×	`log1p-expm1-u_binary64`
240×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	70
1	497	66
2	7651	66

Stop Event

1×	node limit

Counts

4 → 168

Calls

Call 1

Inputs
(+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (*.f64 x x)) (/.f64 (+.f64 y -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000) (pow.f64 x 3)))
(/.f64 (+.f64 y -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000) (pow.f64 x 3))
(/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (*.f64 x x))
(.f64 (+.f64 x -2) (+.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (.f64 x x)) (/.f64 (+.f64 y -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000) (pow.f64 x 3)))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (+.f64 y -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000) (pow.f64 x -3) (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (.f64 x x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 4653593203737153800655920356223215099345828820202827995184233567849/390625000000000000000000000000000000000000000000000000000000 (pow.f64 x 4)) (-.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (.f64 x x)) (.f64 (+.f64 y -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000) (pow.f64 x -3)))) (/.f64 (/.f64 (pow.f64 (+.f64 y -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000) 2) (pow.f64 x 6)) (-.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (.f64 x x)) (.f64 (+.f64 y 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simplify188.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

526×	`associate-+l+_binary64`
438×	`associate-+r+_binary64`
417×	`associate-/r*_binary64`
341×	`div-sub_binary64`
320×	`associate-*l/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	75	1431
1	214	1431
2	603	1429
3	2046	1255
4	7642	1255

Stop Event

1×	node limit

Counts

252 → 205

Calls

Call 1

Inputs
(/.f64 (-.f64 y 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000) (pow.f64 x 3))
(-.f64 (+.f64 (.f64 2157218858562374472887084159837293/625000000000000000000000000000 (/.f64 1 (pow.f64 x 2))) (/.f64 y (pow.f64 x 3))) (.f64 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 2157218858562374472887084159837293/625000000000000000000000000000 (/.f64 1 (pow.f64 x 2))) (/.f64 y (pow.f64 x 3))) (.f64 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 2157218858562374472887084159837293/625000000000000000000000000000 (/.f64 1 (pow.f64 x 2))) (/.f64 y (pow.f64 x 3))) (.f64 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 3))))
(/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (pow.f64 x 2))
(-.f64 (+.f64 (/.f64 y (pow.f64 x 3)) (.f64 2157218858562374472887084159837293/625000000000000000000000000000 (/.f64 1 (pow.f64 x 2)))) (.f64 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 y (pow.f64 x 3)) (.f64 2157218858562374472887084159837293/625000000000000000000000000000 (/.f64 1 (pow.f64 x 2)))) (.f64 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 y (pow.f64 x 3)) (.f64 2157218858562374472887084159837293/625000000000000000000000000000 (/.f64 1 (pow.f64 x 2)))) (.f64 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 3))))
(/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (pow.f64 x 2))
(-.f64 (+.f64 (/.f64 y (pow.f64 x 3)) (.f64 2157218858562374472887084159837293/625000000000000000000000000000 (/.f64 1 (pow.f64 x 2)))) (.f64 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 y (pow.f64 x 3)) (.f64 2157218858562374472887084159837293/625000000000000000000000000000 (/.f64 1 (pow.f64 x 2)))) (.f64 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 y (pow.f64 x 3)) (.f64 2157218858562374472887084159837293/625000000000000000000000000000 (/.f64 1 (pow.f64 x 2)))) (.f64 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 3))))
(-.f64 (.f64 2157218858562374472887084159837293/625000000000000000000000000000 (/.f64 1 (pow.f64 x 2))) (.f64 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 y (pow.f64 x 3)) (.f64 2157218858562374472887084159837293/625000000000000000000000000000 (/.f64 1 (pow.f64 x 2)))) (.f64 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 y (pow.f64 x 3)) (.f64 2157218858562374472887084159837293/625000000000000000000000000000 (/.f64 1 (pow.f64 x 2)))) (.f64 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 y (pow.f64 x 3)) (.f64 2157218858562374472887084159837293/625000000000000000000000000000 (/.f64 1 (pow.f64 x 2)))) (.f64 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 3))))
(/.f64 y (pow.f64 x 3))
(-.f64 (+.f64 (/.f64 y (pow.f64 x 3)) (.f64 2157218858562374472887084159837293/625000000000000000000000000000 (/.f64 1 (pow.f64 x 2)))) (.f64 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 y (pow.f64 x 3)) (.f64 2157218858562374472887084159837293/625000000000000000000000000000 (/.f64 1 (pow.f64 x 2)))) (.f64 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 y (pow.f64 x 3)) (.f64 2157218858562374472887084159837293/625000000000000000000000000000 (/.f64 1 (pow.f64 x 2)))) (.f64 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 3))))
(/.f64 y (pow.f64 x 3))
(-.f64 (+.f64 (/.f64 y (pow.f64 x 3)) (.f64 2157218858562374472887084159837293/625000000000000000000000000000 (/.f64 1 (pow.f64 x 2)))) (.f64 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 y (pow.f64 x 3)) (.f64 2157218858562374472887084159837293/625000000000000000000000000000 (/.f64 1 (pow.f64 x 2)))) (.f64 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 y (pow.f64 x 3)) (.f64 2157218858562374472887084159837293/625000000000000000000000000000 (/.f64 1 (pow.f64 x 2)))) (.f64 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 3))))
(/.f64 -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 (pow.f64 x 3))
(-.f64 (/.f64 y (pow.f64 x 3)) (*.f64 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 3))))
(-.f64 (/.f64 y (pow.f64 x 3)) (*.f64 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 3))))
(-.f64 (/.f64 y (pow.f64 x 3)) (*.f64 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 3))))
(/.f64 y (pow.f64 x 3))
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(/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (pow.f64 x 2))
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(/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (pow.f64 x 2))
(/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (pow.f64 x 2))
(/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (pow.f64 x 2))
(/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (pow.f64 x 2))
(/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (pow.f64 x 2))
(/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (pow.f64 x 2))
(/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (pow.f64 x 2))
(/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (pow.f64 x 2))
(/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (pow.f64 x 2))
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(*.f64 104109730557/25000000000 x)
(-.f64 (*.f64 104109730557/25000000000 x) 13764240537310136880149/125000000000000000000)
(-.f64 (+.f64 (.f64 104109730557/25000000000 x) (.f64 2284450290879775841688574159837293/625000000000000000000000000000 (/.f64 1 x))) 13764240537310136880149/125000000000000000000)
(-.f64 (+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (.f64 104109730557/25000000000 x) (.f64 2284450290879775841688574159837293/625000000000000000000000000000 (/.f64 1 x)))) (+.f64 13764240537310136880149/125000000000000000000 (*.f64 107296773324458860383518174389124460809658643513344/819200000000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 2)))))
(*.f64 104109730557/25000000000 x)
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(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 2157218858562374472887084159837293/312500000000000000000000000000 (.f64 -1 (-.f64 y 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000))) (pow.f64 x 2))) (+.f64 (.f64 104109730557/25000000000 x) (.f64 2284450290879775841688574159837293/625000000000000000000000000000 (/.f64 1 x)))) 13764240537310136880149/125000000000000000000)
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(/.f64 (*.f64 y (-.f64 x 2)) (pow.f64 x 3))
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Outputs
(/.f64 (-.f64 y 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000) (pow.f64 x 3))
(/.f64 (+.f64 y -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000) (pow.f64 x 3))
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(+.f64 (/.f64 (+.f64 y -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000) (pow.f64 x 3)) (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (*.f64 x x)))
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(/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (pow.f64 x 2))
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(fma.f64 y (+.f64 (/.f64 1 (.f64 x x)) (/.f64 -2 (pow.f64 x 3))) (.f64 (+.f64 x -2) (+.f64 (+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (*.f64 x x)) (-.f64 104109730557/25000000000 (/.f64 12723143231740136880149/125000000000000000000 x))) (/.f64 -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 (pow.f64 x 3)))))
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(.f64 (+.f64 x -2) (+.f64 (/.f64 (+.f64 y -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000) (pow.f64 x 3)) (+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (.f64 x x)) (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)))))

eval453.0ms (1.4%)

Compiler: Compiled 19034 to 13691 computations (28.1% saved)

prune248.0ms (0.8%)

Pruning

41 alts after pruning (40 fresh and 1 done)

	Pruned	Kept	Total
New	684	27	711
Fresh	10	13	23
Picked	1	0	1
Done	3	1	4
Total	698	41	739

Error

0.0b

Counts

739 → 41

Alt Table

Click to see full alt table

Status	Error	Program
	62.1b	(+.f64 (/.f64 12723143231740136880149/62500000000000000000 x) -13764240537310136880149/125000000000000000000)
	31.4b	(*.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z) 1) -1000000000/23533438303)
▶	36.1b	(/.f64 (.f64 (-.f64 1128428295162862690821234941118693/15625000000000000000000000000000 (.f64 (pow.f64 x -3) 2059601734647409189681626961129620613782216990037768112413421947949/1953125000000000000000000000000000000000000000000000000000000)) (+.f64 x -2)) (fma.f64 (/.f64 12723143231740136880149/125000000000000000000 x) (+.f64 (/.f64 12723143231740136880149/125000000000000000000 x) 104109730557/25000000000) 10838835996651139530249/625000000000000000000))
	36.2b	(/.f64 (.f64 (+.f64 (pow.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) 3) (pow.f64 (fma.f64 (+.f64 y -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000) (pow.f64 x -3) (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (.f64 x x))) 3)) (+.f64 x -2)) (+.f64 (pow.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) 2) (.f64 (fma.f64 (+.f64 y -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000) (pow.f64 x -3) (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (.f64 x x))) (-.f64 (fma.f64 (+.f64 y -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000) (pow.f64 x -3) (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (*.f64 x x))) (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x))))))
	33.4b	(.f64 (+.f64 x -2) (+.f64 (.f64 500000000/23533438303 z) (.f64 (-.f64 (.f64 500000000/23533438303 y) (*.f64 78349803973500000000/553822718361107519809 z)) x)))
▶	41.5b	(/.f64 (.f64 z (-.f64 x 2)) (+.f64 (.f64 x 156699607947/500000000) 23533438303/500000000))
	62.1b	(-.f64 (*.f64 12723143231740136880149/62500000000000000000 (/.f64 1 x)) 13764240537310136880149/125000000000000000000)
	50.9b	(/.f64 (*.f64 (fma.f64 x x -4) (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x))) (+.f64 x 2))
	51.7b	(/.f64 (.f64 (fma.f64 x x -4) (-.f64 1128428295162862690821234941118693/15625000000000000000000000000000 (.f64 (pow.f64 x -3) 2059601734647409189681626961129620613782216990037768112413421947949/1953125000000000000000000000000000000000000000000000000000000))) (*.f64 (+.f64 x 2) (fma.f64 (/.f64 12723143231740136880149/125000000000000000000 x) (+.f64 (/.f64 12723143231740136880149/125000000000000000000 x) 104109730557/25000000000) 10838835996651139530249/625000000000000000000)))
	41.4b	(.f64 (+.f64 x -2) (.f64 500000000/23533438303 z))
	52.6b	(/.f64 (.f64 y (.f64 (-.f64 x 2) x)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000))
	41.5b	(/.f64 (.f64 z (-.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 x 216700011257/5000000000) (.f64 x x))) x) 23533438303/500000000))
	37.4b	(/.f64 (.f64 (+.f64 (.f64 (+.f64 4297481763/31250000 (.f64 (+.f64 393497462077/5000000000 (.f64 104109730557/25000000000 x)) x)) (pow.f64 x 2)) z) (-.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000))
	40.9b	(.f64 (+.f64 x -2) (/.f64 z (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)))
	35.6b	(.f64 (+.f64 x -2) (+.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (.f64 x x))))
	62.1b	(/.f64 12723143231740136880149/62500000000000000000 x)
	34.9b	(-.f64 (*.f64 104109730557/25000000000 x) 13764240537310136880149/125000000000000000000)
	47.0b	(.f64 (+.f64 x -2) (/.f64 (.f64 (+.f64 (.f64 (+.f64 4297481763/31250000 (.f64 (+.f64 393497462077/5000000000 (.f64 104109730557/25000000000 x)) x)) x) y) x) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)))
	34.9b	(*.f64 (+.f64 x -2) 104109730557/25000000000)
▶	34.0b	(.f64 (+.f64 x -2) (+.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (.f64 x x)) (.f64 (/.f64 1 x) (/.f64 (+.f64 y -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000) (.f64 x x))))))
	41.4b	(/.f64 (.f64 z (-.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (*.f64 x 263505074721/1000000000)) x) 23533438303/500000000))
	61.2b	(*.f64 y (/.f64 (+.f64 x -2) (pow.f64 x 3)))
	51.5b	(.f64 (.f64 x (+.f64 x -2)) (/.f64 y (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))
	51.5b	(/.f64 (.f64 (fma.f64 x x -4) (-.f64 10838835996651139530249/625000000000000000000 (.f64 (pow.f64 x -2) 161878373695374854434910217844194695190262201/15625000000000000000000000000000000000000))) (*.f64 (+.f64 x 2) (+.f64 (/.f64 12723143231740136880149/125000000000000000000 x) 104109730557/25000000000)))
	51.9b	(/.f64 (.f64 (fma.f64 x x -4) (+.f64 (pow.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) 3) (pow.f64 (fma.f64 (+.f64 y -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000) (pow.f64 x -3) (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (.f64 x x))) 3))) (.f64 (+.f64 x 2) (+.f64 (pow.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) 2) (.f64 (fma.f64 (+.f64 y -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000) (pow.f64 x -3) (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (.f64 x x))) (-.f64 (fma.f64 (+.f64 y -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000) (pow.f64 x -3) (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (.f64 x x))) (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)))))))
	35.4b	(pow.f64 (cbrt.f64 (*.f64 x 104109730557/25000000000)) 3)
	52.1b	(.f64 (+.f64 x -2) (/.f64 (.f64 y x) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)))
	35.2b	(-.f64 (+.f64 (.f64 104109730557/25000000000 x) (.f64 2284450290879775841688574159837293/625000000000000000000000000000 (/.f64 1 x))) 13764240537310136880149/125000000000000000000)
	41.3b	(.f64 z (+.f64 -1000000000/23533438303 (.f64 x 168466327098500000000/553822718361107519809)))
	33.0b	(+.f64 (.f64 (-.f64 (.f64 500000000/23533438303 (+.f64 (.f64 -2 y) z)) (.f64 -156699607947000000000/553822718361107519809 z)) x) (*.f64 -1000000000/23533438303 z))
▶	29.4b	(/.f64 (.f64 (-.f64 x 2) (+.f64 (.f64 (+.f64 (.f64 x 4297481763/31250000) y) x) z)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 x 216700011257/5000000000) x) 263505074721/1000000000) x) 156699607947/500000000) x) 23533438303/500000000))
	41.3b	(+.f64 (.f64 (-.f64 (.f64 500000000/23533438303 z) (.f64 -156699607947000000000/553822718361107519809 z)) x) (.f64 -1000000000/23533438303 z))
	35.7b	(*.f64 (+.f64 x -2) (/.f64 (-.f64 10838835996651139530249/625000000000000000000 (pow.f64 (/.f64 -12723143231740136880149/125000000000000000000 x) 2)) (-.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x))))
	35.6b	(/.f64 (.f64 (-.f64 10838835996651139530249/625000000000000000000 (.f64 (pow.f64 x -2) 161878373695374854434910217844194695190262201/15625000000000000000000000000000000000000)) (+.f64 x -2)) (+.f64 (/.f64 12723143231740136880149/125000000000000000000 x) 104109730557/25000000000))
▶	41.4b	(*.f64 z -1000000000/23533438303)
	31.0b	(.f64 (+.f64 x -2) (+.f64 (.f64 (-.f64 68759708208/23533438303 (+.f64 (.f64 156699607947/23533438303 (-.f64 (.f64 500000000/23533438303 y) (.f64 78349803973500000000/553822718361107519809 z))) (.f64 65876268680250000000/553822718361107519809 z))) (pow.f64 x 2)) (+.f64 (.f64 500000000/23533438303 z) (.f64 (-.f64 (.f64 500000000/23533438303 y) (.f64 78349803973500000000/553822718361107519809 z)) x))))
	35.2b	(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) 2) (pow.f64 (fma.f64 (+.f64 y -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000) (pow.f64 x -3) (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (.f64 x x))) 2)) (+.f64 x -2)) (-.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (fma.f64 (+.f64 y -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000) (pow.f64 x -3) (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (*.f64 x x)))))
	34.0b	(.f64 (+.f64 x -2) (+.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (.f64 x x)) (pow.f64 (/.f64 (cbrt.f64 (+.f64 y -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000)) x) 3))))
✓	35.0b	(*.f64 x 104109730557/25000000000)
	34.0b	(*.f64 (+.f64 x -2) (+.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (/.f64 y (pow.f64 x 3))))
	35.2b	(*.f64 (+.f64 x -2) (-.f64 104109730557/25000000000 (/.f64 12723143231740136880149/125000000000000000000 x)))

Compiler

Compiled 1828 to 1401 computations (23.4% saved)

localize165.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (+.f64 (.f64 (+.f64 (*.f64 (+.f64 x 216700011257/5000000000) x) 263505074721/1000000000) x) 156699607947/500000000) x)
	0.4b	(.f64 (+.f64 (.f64 (+.f64 x 216700011257/5000000000) x) 263505074721/1000000000) x)
✓	0.6b	(*.f64 x 4297481763/31250000)
✓	25.6b	(/.f64 (.f64 (-.f64 x 2) (+.f64 (.f64 (+.f64 (.f64 x 4297481763/31250000) y) x) z)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 x 216700011257/5000000000) x) 263505074721/1000000000) x) 156699607947/500000000) x) 23533438303/500000000))

Compiler

Compiled 144 to 97 computations (32.6% saved)

series15.0ms (0%)

Counts

3 → 60

Calls

15 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(/.f64 (.f64 (-.f64 x 2) (+.f64 (.f64 (+.f64 (.f64 x 4297481763/31250000) y) x) z)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 x 216700011257/5000000000) x) 263505074721/1000000000) x) 156699607947/500000000) x) 23533438303/500000000))
2.0ms	x	@	inf	(/.f64 (.f64 (-.f64 x 2) (+.f64 (.f64 (+.f64 (.f64 x 4297481763/31250000) y) x) z)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 x 216700011257/5000000000) x) 263505074721/1000000000) x) 156699607947/500000000) x) 23533438303/500000000))
1.0ms	z	@	0	(/.f64 (.f64 (-.f64 x 2) (+.f64 (.f64 (+.f64 (.f64 x 4297481763/31250000) y) x) z)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 x 216700011257/5000000000) x) 263505074721/1000000000) x) 156699607947/500000000) x) 23533438303/500000000))
1.0ms	y	@	0	(/.f64 (.f64 (-.f64 x 2) (+.f64 (.f64 (+.f64 (.f64 x 4297481763/31250000) y) x) z)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 x 216700011257/5000000000) x) 263505074721/1000000000) x) 156699607947/500000000) x) 23533438303/500000000))
1.0ms	z	@	inf	(/.f64 (.f64 (-.f64 x 2) (+.f64 (.f64 (+.f64 (.f64 x 4297481763/31250000) y) x) z)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 x 216700011257/5000000000) x) 263505074721/1000000000) x) 156699607947/500000000) x) 23533438303/500000000))

rewrite76.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

295×	`add-sqr-sqrt_binary64`
281×	`*-un-lft-identity_binary64`
281×	`pow1_binary64`
278×	`add-exp-log_binary64`
278×	`add-log-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	52
1	574	52

Stop Event

1×	node limit

Counts

3 → 79

Calls

Call 1

Inputs

(/.f64 (*.f64 (-.f64 x 2) (+.f64 (*.f64 (+.f64 (*.f64 x 4297481763/31250000) y) x) z)) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 x 216700011257/5000000000) x) 263505074721/1000000000) x) 156699607947/500000000) x) 23533438303/500000000))

(*.f64 x 4297481763/31250000)

(*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 x 216700011257/5000000000) x) 263505074721/1000000000) x) 156699607947/500000000) x)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 x -2) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (fma.f64 x (fma.f64 x 4297481763/31250000 y) z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) (fma.f64 x (fma.f64 x 4297481763/31250000 y) z))) (/.f64 2 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) (fma.f64 x (fma.f64 x 4297481763/31250000 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x -2) (/.f64 1 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) (fma.f64 x (fma.f64 x 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000)) x) (*.f64 156699607947/500000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 156699607947/500000000 x) (*.f64 (*.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000))) (*.f64 x 156699607947/500000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 156699607947/500000000) (*.f64 x (*.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000)) 3) 3847722382617389411054987020467123/125000000000000000000000000) x) (+.f64 (pow.f64 (*.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000)) 2) (-.f64 24554767130743505554809/250000000000000000 (*.f64 (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) (*.f64 x 156699607947/500000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000)) 2) -24554767130743505554809/250000000000000000) x) (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) -156699607947/500000000))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 (pow.f64 (*.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000)) 3) 3847722382617389411054987020467123/125000000000000000000000000)) (+.f64 (pow.f64 (*.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000)) 2) (-.f64 24554767130743505554809/250000000000000000 (*.f64 (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) (*.f64 x 156699607947/500000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 (pow.f64 (*.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000)) 2) -24554767130743505554809/250000000000000000)) (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) -156699607947/500000000))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000)) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000))) 1))))))

simplify195.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

820×	`fma-def_binary64`
707×	`fma-neg_binary64`
581×	`associate-+l+_binary64`
367×	`associate-+r+_binary64`
354×	`associate--l+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	169	2307
1	513	2094
2	1731	1972
3	7913	1972

Stop Event

1×	node limit

Counts

139 → 127

Calls

Call 1

Inputs
(*.f64 -1000000000/23533438303 z)
(+.f64 (.f64 (-.f64 (.f64 500000000/23533438303 (+.f64 (.f64 -2 y) z)) (.f64 -156699607947000000000/553822718361107519809 z)) x) (*.f64 -1000000000/23533438303 z))
(+.f64 (.f64 (-.f64 (.f64 500000000/23533438303 (+.f64 (.f64 -2 y) z)) (.f64 -156699607947000000000/553822718361107519809 z)) x) (+.f64 (.f64 -1000000000/23533438303 z) (.f64 (-.f64 (.f64 500000000/23533438303 (-.f64 y 4297481763/15625000)) (+.f64 (.f64 -131752537360500000000/553822718361107519809 z) (.f64 156699607947/23533438303 (-.f64 (.f64 500000000/23533438303 (+.f64 (.f64 -2 y) z)) (.f64 -156699607947000000000/553822718361107519809 z))))) (pow.f64 x 2))))
(+.f64 (.f64 (-.f64 (.f64 500000000/23533438303 (+.f64 (.f64 -2 y) z)) (.f64 -156699607947000000000/553822718361107519809 z)) x) (+.f64 (.f64 (-.f64 68759708208/23533438303 (+.f64 (.f64 263505074721/47066876606 (-.f64 (.f64 500000000/23533438303 (+.f64 (.f64 -2 y) z)) (.f64 -156699607947000000000/553822718361107519809 z))) (+.f64 (.f64 156699607947/23533438303 (-.f64 (.f64 500000000/23533438303 (-.f64 y 4297481763/15625000)) (+.f64 (.f64 -131752537360500000000/553822718361107519809 z) (.f64 156699607947/23533438303 (-.f64 (.f64 500000000/23533438303 (+.f64 (.f64 -2 y) z)) (.f64 -156699607947000000000/553822718361107519809 z)))))) (.f64 -21670001125700000000/553822718361107519809 z)))) (pow.f64 x 3)) (+.f64 (.f64 -1000000000/23533438303 z) (.f64 (-.f64 (.f64 500000000/23533438303 (-.f64 y 4297481763/15625000)) (+.f64 (.f64 -131752537360500000000/553822718361107519809 z) (.f64 156699607947/23533438303 (-.f64 (.f64 500000000/23533438303 (+.f64 (.f64 -2 y) z)) (*.f64 -156699607947000000000/553822718361107519809 z))))) (pow.f64 x 2)))))
(/.f64 4297481763/31250000 x)
(-.f64 (+.f64 (/.f64 y (pow.f64 x 2)) (.f64 4297481763/31250000 (/.f64 1 x))) (.f64 974239164048852206091/156250000000000000 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 z (pow.f64 x 3)) (+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (.f64 -2 (/.f64 y (pow.f64 x 3))) (.f64 4297481763/31250000 (/.f64 1 x))))) (+.f64 (.f64 216700011257/5000000000 (/.f64 (-.f64 y 974239164048852206091/156250000000000000) (pow.f64 x 3))) (+.f64 (.f64 1132408253071449813123/31250000000000000 (/.f64 1 (pow.f64 x 3))) (*.f64 974239164048852206091/156250000000000000 (/.f64 1 (pow.f64 x 2))))))
(-.f64 (+.f64 (.f64 -2 (/.f64 y (pow.f64 x 3))) (+.f64 (.f64 -2 (/.f64 z (pow.f64 x 4))) (+.f64 (/.f64 z (pow.f64 x 3)) (+.f64 (/.f64 y (pow.f64 x 2)) (.f64 4297481763/31250000 (/.f64 1 x)))))) (+.f64 (.f64 1132408253071449813123/31250000000000000 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 216700011257/5000000000 (/.f64 (-.f64 (+.f64 (.f64 -2 y) z) (+.f64 (.f64 216700011257/5000000000 (-.f64 y 974239164048852206091/156250000000000000)) 1132408253071449813123/31250000000000000)) (pow.f64 x 4))) (+.f64 (.f64 216700011257/5000000000 (/.f64 (-.f64 y 974239164048852206091/156250000000000000) (pow.f64 x 3))) (+.f64 (.f64 673413707421482370561/15625000000000000 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 263505074721/1000000000 (/.f64 (-.f64 y 974239164048852206091/156250000000000000) (pow.f64 x 4))) (*.f64 974239164048852206091/156250000000000000 (/.f64 1 (pow.f64 x 2)))))))))
(/.f64 4297481763/31250000 x)
(+.f64 (.f64 -1 (/.f64 (+.f64 974239164048852206091/156250000000000000 (.f64 -1 y)) (pow.f64 x 2))) (*.f64 4297481763/31250000 (/.f64 1 x)))
(-.f64 (+.f64 (/.f64 z (pow.f64 x 3)) (+.f64 (.f64 -2 (/.f64 y (pow.f64 x 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 974239164048852206091/156250000000000000 (.f64 -1 y)) (pow.f64 x 2))) (.f64 4297481763/31250000 (/.f64 1 x))))) (+.f64 (.f64 1132408253071449813123/31250000000000000 (/.f64 1 (pow.f64 x 3))) (.f64 -216700011257/5000000000 (/.f64 (+.f64 974239164048852206091/156250000000000000 (*.f64 -1 y)) (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 z (pow.f64 x 3)) (+.f64 (.f64 -1 (/.f64 (-.f64 (+.f64 (.f64 2 z) 673413707421482370561/15625000000000000) (+.f64 (.f64 -216700011257/5000000000 (-.f64 (+.f64 (.f64 -2 y) z) (+.f64 1132408253071449813123/31250000000000000 (.f64 -216700011257/5000000000 (+.f64 974239164048852206091/156250000000000000 (.f64 -1 y)))))) (.f64 263505074721/1000000000 (+.f64 974239164048852206091/156250000000000000 (.f64 -1 y))))) (pow.f64 x 4))) (+.f64 (.f64 -2 (/.f64 y (pow.f64 x 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 974239164048852206091/156250000000000000 (.f64 -1 y)) (pow.f64 x 2))) (.f64 4297481763/31250000 (/.f64 1 x)))))) (+.f64 (.f64 -216700011257/5000000000 (/.f64 (+.f64 974239164048852206091/156250000000000000 (.f64 -1 y)) (pow.f64 x 3))) (*.f64 1132408253071449813123/31250000000000000 (/.f64 1 (pow.f64 x 3)))))
(/.f64 (.f64 (+.f64 (.f64 4297481763/31250000 (pow.f64 x 2)) z) (-.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 4297481763/31250000 (pow.f64 x 2)) z) (-.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) (/.f64 (.f64 y (.f64 (-.f64 x 2) x)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 4297481763/31250000 (pow.f64 x 2)) z) (-.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) (/.f64 (.f64 y (.f64 (-.f64 x 2) x)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 4297481763/31250000 (pow.f64 x 2)) z) (-.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) (/.f64 (.f64 y (.f64 (-.f64 x 2) x)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)))
(/.f64 (.f64 y (.f64 x (-.f64 x 2))) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 4297481763/31250000 (pow.f64 x 2)) z) (-.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) (/.f64 (.f64 y (.f64 (-.f64 x 2) x)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 4297481763/31250000 (pow.f64 x 2)) z) (-.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) (/.f64 (.f64 y (.f64 (-.f64 x 2) x)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 4297481763/31250000 (pow.f64 x 2)) z) (-.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) (/.f64 (.f64 y (.f64 (-.f64 x 2) x)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)))
(/.f64 (.f64 y (.f64 x (-.f64 x 2))) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 4297481763/31250000 (pow.f64 x 2)) z) (-.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) (/.f64 (.f64 y (.f64 (-.f64 x 2) x)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 4297481763/31250000 (pow.f64 x 2)) z) (-.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) (/.f64 (.f64 y (.f64 (-.f64 x 2) x)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 4297481763/31250000 (pow.f64 x 2)) z) (-.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) (/.f64 (.f64 y (.f64 (-.f64 x 2) x)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)))
(/.f64 (.f64 (+.f64 (.f64 4297481763/31250000 x) y) (.f64 x (-.f64 x 2))) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000))
(+.f64 (.f64 z (-.f64 (/.f64 x (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) (.f64 2 (/.f64 1 (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000))))) (/.f64 (.f64 (+.f64 (.f64 4297481763/31250000 x) y) (.f64 (-.f64 x 2) x)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)))
(+.f64 (.f64 z (-.f64 (/.f64 x (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) (.f64 2 (/.f64 1 (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000))))) (/.f64 (.f64 (+.f64 (.f64 4297481763/31250000 x) y) (.f64 (-.f64 x 2) x)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)))
(+.f64 (.f64 z (-.f64 (/.f64 x (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) (.f64 2 (/.f64 1 (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000))))) (/.f64 (.f64 (+.f64 (.f64 4297481763/31250000 x) y) (.f64 (-.f64 x 2) x)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)))
(/.f64 (.f64 z (-.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000))
(+.f64 (/.f64 (.f64 z (-.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) (/.f64 (.f64 (+.f64 (.f64 4297481763/31250000 x) y) (.f64 x (-.f64 x 2))) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)))
(+.f64 (/.f64 (.f64 z (-.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) (/.f64 (.f64 (+.f64 (.f64 4297481763/31250000 x) y) (.f64 x (-.f64 x 2))) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)))
(+.f64 (/.f64 (.f64 z (-.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) (/.f64 (.f64 (+.f64 (.f64 4297481763/31250000 x) y) (.f64 x (-.f64 x 2))) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)))
(/.f64 (.f64 z (-.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000))
(+.f64 (/.f64 (.f64 z (-.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) (/.f64 (.f64 (+.f64 (.f64 4297481763/31250000 x) y) (.f64 x (-.f64 x 2))) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)))
(+.f64 (/.f64 (.f64 z (-.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) (/.f64 (.f64 (+.f64 (.f64 4297481763/31250000 x) y) (.f64 x (-.f64 x 2))) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)))
(+.f64 (/.f64 (.f64 z (-.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) (/.f64 (.f64 (+.f64 (.f64 4297481763/31250000 x) y) (.f64 x (-.f64 x 2))) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)))
(*.f64 4297481763/31250000 x)
(*.f64 4297481763/31250000 x)
(*.f64 4297481763/31250000 x)
(*.f64 4297481763/31250000 x)
(*.f64 4297481763/31250000 x)
(*.f64 4297481763/31250000 x)
(*.f64 4297481763/31250000 x)
(*.f64 4297481763/31250000 x)
(*.f64 4297481763/31250000 x)
(*.f64 4297481763/31250000 x)
(*.f64 4297481763/31250000 x)
(*.f64 4297481763/31250000 x)
(*.f64 156699607947/500000000 x)
(+.f64 (.f64 156699607947/500000000 x) (.f64 263505074721/1000000000 (pow.f64 x 2)))
(+.f64 (.f64 156699607947/500000000 x) (+.f64 (.f64 216700011257/5000000000 (pow.f64 x 3)) (*.f64 263505074721/1000000000 (pow.f64 x 2))))
(+.f64 (.f64 156699607947/500000000 x) (+.f64 (.f64 216700011257/5000000000 (pow.f64 x 3)) (+.f64 (*.f64 263505074721/1000000000 (pow.f64 x 2)) (pow.f64 x 4))))
(pow.f64 x 4)
(+.f64 (*.f64 216700011257/5000000000 (pow.f64 x 3)) (pow.f64 x 4))
(+.f64 (.f64 216700011257/5000000000 (pow.f64 x 3)) (+.f64 (.f64 263505074721/1000000000 (pow.f64 x 2)) (pow.f64 x 4)))
(+.f64 (.f64 156699607947/500000000 x) (+.f64 (.f64 216700011257/5000000000 (pow.f64 x 3)) (+.f64 (*.f64 263505074721/1000000000 (pow.f64 x 2)) (pow.f64 x 4))))
(pow.f64 x 4)
(+.f64 (*.f64 216700011257/5000000000 (pow.f64 x 3)) (pow.f64 x 4))
(+.f64 (.f64 216700011257/5000000000 (pow.f64 x 3)) (+.f64 (.f64 263505074721/1000000000 (pow.f64 x 2)) (pow.f64 x 4)))
(+.f64 (.f64 156699607947/500000000 x) (+.f64 (.f64 216700011257/5000000000 (pow.f64 x 3)) (+.f64 (*.f64 263505074721/1000000000 (pow.f64 x 2)) (pow.f64 x 4))))

Outputs
(*.f64 -1000000000/23533438303 z)
(+.f64 (.f64 (-.f64 (.f64 500000000/23533438303 (+.f64 (.f64 -2 y) z)) (.f64 -156699607947000000000/553822718361107519809 z)) x) (*.f64 -1000000000/23533438303 z))
(fma.f64 (+.f64 (.f64 500000000/23533438303 (fma.f64 -2 y z)) (.f64 156699607947000000000/553822718361107519809 z)) x (*.f64 -1000000000/23533438303 z))
(fma.f64 -1000000000/23533438303 z (.f64 (fma.f64 500000000/23533438303 (fma.f64 -2 y z) (.f64 z 156699607947000000000/553822718361107519809)) x))
(fma.f64 -1000000000/23533438303 z (.f64 (fma.f64 -1000000000/23533438303 y (.f64 z 168466327098500000000/553822718361107519809)) x))
(+.f64 (.f64 (-.f64 (.f64 500000000/23533438303 (+.f64 (.f64 -2 y) z)) (.f64 -156699607947000000000/553822718361107519809 z)) x) (+.f64 (.f64 -1000000000/23533438303 z) (.f64 (-.f64 (.f64 500000000/23533438303 (-.f64 y 4297481763/15625000)) (+.f64 (.f64 -131752537360500000000/553822718361107519809 z) (.f64 156699607947/23533438303 (-.f64 (.f64 500000000/23533438303 (+.f64 (.f64 -2 y) z)) (.f64 -156699607947000000000/553822718361107519809 z))))) (pow.f64 x 2))))
(fma.f64 (+.f64 (.f64 500000000/23533438303 (fma.f64 -2 y z)) (.f64 156699607947000000000/553822718361107519809 z)) x (fma.f64 -1000000000/23533438303 z (.f64 (-.f64 (.f64 500000000/23533438303 (+.f64 y -4297481763/15625000)) (fma.f64 -131752537360500000000/553822718361107519809 z (.f64 (+.f64 (.f64 500000000/23533438303 (fma.f64 -2 y z)) (.f64 156699607947000000000/553822718361107519809 z)) 156699607947/23533438303))) (.f64 x x))))
(fma.f64 (fma.f64 500000000/23533438303 (fma.f64 -2 y z) (.f64 z 156699607947000000000/553822718361107519809)) x (fma.f64 (-.f64 (+.f64 (.f64 500000000/23533438303 y) -137519416416/23533438303) (fma.f64 (fma.f64 500000000/23533438303 (fma.f64 -2 y z) (.f64 z 156699607947000000000/553822718361107519809)) 156699607947/23533438303 (.f64 z -131752537360500000000/553822718361107519809))) (.f64 x x) (.f64 -1000000000/23533438303 z)))
(fma.f64 -1000000000/23533438303 z (.f64 x (+.f64 (fma.f64 -1000000000/23533438303 y (.f64 z 168466327098500000000/553822718361107519809)) (.f64 x (-.f64 (fma.f64 500000000/23533438303 y -137519416416/23533438303) (fma.f64 (fma.f64 -1000000000/23533438303 y (.f64 z 168466327098500000000/553822718361107519809)) 156699607947/23533438303 (*.f64 z -131752537360500000000/553822718361107519809)))))))
(fma.f64 -1000000000/23533438303 z (.f64 x (+.f64 (fma.f64 -1000000000/23533438303 y (.f64 z 168466327098500000000/553822718361107519809)) (.f64 x (+.f64 (fma.f64 500000000/23533438303 y -137519416416/23533438303) (fma.f64 z 131752537360500000000/553822718361107519809 (.f64 (fma.f64 -1000000000/23533438303 y (*.f64 z 168466327098500000000/553822718361107519809)) -156699607947/23533438303)))))))
(+.f64 (.f64 (-.f64 (.f64 500000000/23533438303 (+.f64 (.f64 -2 y) z)) (.f64 -156699607947000000000/553822718361107519809 z)) x) (+.f64 (.f64 (-.f64 68759708208/23533438303 (+.f64 (.f64 263505074721/47066876606 (-.f64 (.f64 500000000/23533438303 (+.f64 (.f64 -2 y) z)) (.f64 -156699607947000000000/553822718361107519809 z))) (+.f64 (.f64 156699607947/23533438303 (-.f64 (.f64 500000000/23533438303 (-.f64 y 4297481763/15625000)) (+.f64 (.f64 -131752537360500000000/553822718361107519809 z) (.f64 156699607947/23533438303 (-.f64 (.f64 500000000/23533438303 (+.f64 (.f64 -2 y) z)) (.f64 -156699607947000000000/553822718361107519809 z)))))) (.f64 -21670001125700000000/553822718361107519809 z)))) (pow.f64 x 3)) (+.f64 (.f64 -1000000000/23533438303 z) (.f64 (-.f64 (.f64 500000000/23533438303 (-.f64 y 4297481763/15625000)) (+.f64 (.f64 -131752537360500000000/553822718361107519809 z) (.f64 156699607947/23533438303 (-.f64 (.f64 500000000/23533438303 (+.f64 (.f64 -2 y) z)) (*.f64 -156699607947000000000/553822718361107519809 z))))) (pow.f64 x 2)))))
(fma.f64 (+.f64 (.f64 500000000/23533438303 (fma.f64 -2 y z)) (.f64 156699607947000000000/553822718361107519809 z)) x (fma.f64 (-.f64 68759708208/23533438303 (fma.f64 263505074721/47066876606 (+.f64 (.f64 500000000/23533438303 (fma.f64 -2 y z)) (.f64 156699607947000000000/553822718361107519809 z)) (fma.f64 156699607947/23533438303 (-.f64 (.f64 500000000/23533438303 (+.f64 y -4297481763/15625000)) (fma.f64 -131752537360500000000/553822718361107519809 z (.f64 (+.f64 (.f64 500000000/23533438303 (fma.f64 -2 y z)) (.f64 156699607947000000000/553822718361107519809 z)) 156699607947/23533438303))) (.f64 z -21670001125700000000/553822718361107519809)))) (pow.f64 x 3) (fma.f64 -1000000000/23533438303 z (.f64 (-.f64 (.f64 500000000/23533438303 (+.f64 y -4297481763/15625000)) (fma.f64 -131752537360500000000/553822718361107519809 z (.f64 (+.f64 (.f64 500000000/23533438303 (fma.f64 -2 y z)) (.f64 156699607947000000000/553822718361107519809 z)) 156699607947/23533438303))) (*.f64 x x)))))
(fma.f64 (fma.f64 500000000/23533438303 (fma.f64 -2 y z) (.f64 z 156699607947000000000/553822718361107519809)) x (fma.f64 (-.f64 68759708208/23533438303 (fma.f64 (fma.f64 500000000/23533438303 (fma.f64 -2 y z) (.f64 z 156699607947000000000/553822718361107519809)) 263505074721/47066876606 (fma.f64 156699607947/23533438303 (-.f64 (+.f64 (.f64 500000000/23533438303 y) -137519416416/23533438303) (fma.f64 (fma.f64 500000000/23533438303 (fma.f64 -2 y z) (.f64 z 156699607947000000000/553822718361107519809)) 156699607947/23533438303 (.f64 z -131752537360500000000/553822718361107519809))) (.f64 z -21670001125700000000/553822718361107519809)))) (pow.f64 x 3) (fma.f64 (-.f64 (+.f64 (.f64 500000000/23533438303 y) -137519416416/23533438303) (fma.f64 (fma.f64 500000000/23533438303 (fma.f64 -2 y z) (.f64 z 156699607947000000000/553822718361107519809)) 156699607947/23533438303 (.f64 z -131752537360500000000/553822718361107519809))) (.f64 x x) (*.f64 -1000000000/23533438303 z))))
(fma.f64 (-.f64 68759708208/23533438303 (fma.f64 z -21670001125700000000/553822718361107519809 (fma.f64 156699607947/23533438303 (-.f64 (fma.f64 500000000/23533438303 y -137519416416/23533438303) (fma.f64 (fma.f64 -1000000000/23533438303 y (.f64 z 168466327098500000000/553822718361107519809)) 156699607947/23533438303 (.f64 z -131752537360500000000/553822718361107519809))) (.f64 (fma.f64 -1000000000/23533438303 y (.f64 z 168466327098500000000/553822718361107519809)) 263505074721/47066876606)))) (pow.f64 x 3) (fma.f64 -1000000000/23533438303 z (.f64 x (+.f64 (fma.f64 -1000000000/23533438303 y (.f64 z 168466327098500000000/553822718361107519809)) (.f64 x (-.f64 (fma.f64 500000000/23533438303 y -137519416416/23533438303) (fma.f64 (fma.f64 -1000000000/23533438303 y (.f64 z 168466327098500000000/553822718361107519809)) 156699607947/23533438303 (*.f64 z -131752537360500000000/553822718361107519809))))))))
(fma.f64 (-.f64 68759708208/23533438303 (fma.f64 z -21670001125700000000/553822718361107519809 (fma.f64 156699607947/23533438303 (+.f64 (fma.f64 500000000/23533438303 y -137519416416/23533438303) (fma.f64 z 131752537360500000000/553822718361107519809 (.f64 (fma.f64 -1000000000/23533438303 y (.f64 z 168466327098500000000/553822718361107519809)) -156699607947/23533438303))) (.f64 (fma.f64 -1000000000/23533438303 y (.f64 z 168466327098500000000/553822718361107519809)) 263505074721/47066876606)))) (pow.f64 x 3) (fma.f64 -1000000000/23533438303 z (.f64 x (+.f64 (fma.f64 -1000000000/23533438303 y (.f64 z 168466327098500000000/553822718361107519809)) (.f64 x (+.f64 (fma.f64 500000000/23533438303 y -137519416416/23533438303) (fma.f64 z 131752537360500000000/553822718361107519809 (.f64 (fma.f64 -1000000000/23533438303 y (*.f64 z 168466327098500000000/553822718361107519809)) -156699607947/23533438303))))))))
(/.f64 4297481763/31250000 x)
(-.f64 (+.f64 (/.f64 y (pow.f64 x 2)) (.f64 4297481763/31250000 (/.f64 1 x))) (.f64 974239164048852206091/156250000000000000 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 y (.f64 x x)) (/.f64 4297481763/31250000 x)) (/.f64 974239164048852206091/156250000000000000 (.f64 x x)))
(+.f64 (/.f64 y (.f64 x x)) (+.f64 (/.f64 4297481763/31250000 x) (/.f64 -974239164048852206091/156250000000000000 (.f64 x x))))
(+.f64 (/.f64 4297481763/31250000 x) (/.f64 (+.f64 y -974239164048852206091/156250000000000000) (*.f64 x x)))
(-.f64 (+.f64 (/.f64 z (pow.f64 x 3)) (+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (.f64 -2 (/.f64 y (pow.f64 x 3))) (.f64 4297481763/31250000 (/.f64 1 x))))) (+.f64 (.f64 216700011257/5000000000 (/.f64 (-.f64 y 974239164048852206091/156250000000000000) (pow.f64 x 3))) (+.f64 (.f64 1132408253071449813123/31250000000000000 (/.f64 1 (pow.f64 x 3))) (*.f64 974239164048852206091/156250000000000000 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (/.f64 z (pow.f64 x 3)) (-.f64 (+.f64 (/.f64 y (.f64 x x)) (fma.f64 -2 (/.f64 y (pow.f64 x 3)) (/.f64 4297481763/31250000 x))) (fma.f64 216700011257/5000000000 (/.f64 (+.f64 y -974239164048852206091/156250000000000000) (pow.f64 x 3)) (+.f64 (/.f64 974239164048852206091/156250000000000000 (.f64 x x)) (/.f64 1132408253071449813123/31250000000000000 (pow.f64 x 3))))))
(-.f64 (-.f64 (+.f64 (/.f64 y (.f64 x x)) (+.f64 (fma.f64 -2 (/.f64 y (pow.f64 x 3)) (/.f64 4297481763/31250000 x)) (/.f64 z (pow.f64 x 3)))) (fma.f64 216700011257/5000000000 (/.f64 (+.f64 y -974239164048852206091/156250000000000000) (pow.f64 x 3)) (/.f64 1132408253071449813123/31250000000000000 (pow.f64 x 3)))) (/.f64 974239164048852206091/156250000000000000 (.f64 x x)))
(+.f64 (fma.f64 -2 (/.f64 y (pow.f64 x 3)) (/.f64 4297481763/31250000 x)) (+.f64 (-.f64 (/.f64 (+.f64 y -974239164048852206091/156250000000000000) (*.f64 x x)) (+.f64 (/.f64 (fma.f64 y 216700011257/5000000000 -211117637816396542757848983966387/781250000000000000000000000) (pow.f64 x 3)) (/.f64 1132408253071449813123/31250000000000000 (pow.f64 x 3)))) (/.f64 z (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 -2 (/.f64 y (pow.f64 x 3))) (+.f64 (.f64 -2 (/.f64 z (pow.f64 x 4))) (+.f64 (/.f64 z (pow.f64 x 3)) (+.f64 (/.f64 y (pow.f64 x 2)) (.f64 4297481763/31250000 (/.f64 1 x)))))) (+.f64 (.f64 1132408253071449813123/31250000000000000 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 216700011257/5000000000 (/.f64 (-.f64 (+.f64 (.f64 -2 y) z) (+.f64 (.f64 216700011257/5000000000 (-.f64 y 974239164048852206091/156250000000000000)) 1132408253071449813123/31250000000000000)) (pow.f64 x 4))) (+.f64 (.f64 216700011257/5000000000 (/.f64 (-.f64 y 974239164048852206091/156250000000000000) (pow.f64 x 3))) (+.f64 (.f64 673413707421482370561/15625000000000000 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 263505074721/1000000000 (/.f64 (-.f64 y 974239164048852206091/156250000000000000) (pow.f64 x 4))) (*.f64 974239164048852206091/156250000000000000 (/.f64 1 (pow.f64 x 2)))))))))
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(*.f64 4297481763/31250000 x)
(*.f64 x 4297481763/31250000)
(*.f64 4297481763/31250000 x)
(*.f64 x 4297481763/31250000)
(*.f64 4297481763/31250000 x)
(*.f64 x 4297481763/31250000)
(*.f64 4297481763/31250000 x)
(*.f64 x 4297481763/31250000)
(*.f64 4297481763/31250000 x)
(*.f64 x 4297481763/31250000)
(*.f64 4297481763/31250000 x)
(*.f64 x 4297481763/31250000)
(*.f64 4297481763/31250000 x)
(*.f64 x 4297481763/31250000)
(*.f64 4297481763/31250000 x)
(*.f64 x 4297481763/31250000)
(*.f64 4297481763/31250000 x)
(*.f64 x 4297481763/31250000)
(*.f64 4297481763/31250000 x)
(*.f64 x 4297481763/31250000)
(*.f64 4297481763/31250000 x)
(*.f64 x 4297481763/31250000)
(*.f64 4297481763/31250000 x)
(*.f64 x 4297481763/31250000)
(*.f64 156699607947/500000000 x)
(*.f64 x 156699607947/500000000)
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(fma.f64 156699607947/500000000 x (.f64 (.f64 x x) 263505074721/1000000000))
(fma.f64 x 156699607947/500000000 (.f64 (.f64 x x) 263505074721/1000000000))
(.f64 x (+.f64 156699607947/500000000 (.f64 x 263505074721/1000000000)))
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(fma.f64 156699607947/500000000 x (fma.f64 216700011257/5000000000 (pow.f64 x 3) (.f64 (.f64 x x) 263505074721/1000000000)))
(fma.f64 x 156699607947/500000000 (fma.f64 (.f64 x x) 263505074721/1000000000 (.f64 (pow.f64 x 3) 216700011257/5000000000)))
(fma.f64 x 156699607947/500000000 (.f64 (.f64 x x) (+.f64 263505074721/1000000000 (*.f64 x 216700011257/5000000000))))
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(*.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000))
(pow.f64 x 4)
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(fma.f64 216700011257/5000000000 (pow.f64 x 3) (pow.f64 x 4))
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(fma.f64 216700011257/5000000000 (pow.f64 x 3) (fma.f64 263505074721/1000000000 (*.f64 x x) (pow.f64 x 4)))
(fma.f64 (pow.f64 x 3) 216700011257/5000000000 (fma.f64 (*.f64 x x) 263505074721/1000000000 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000))
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(*.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000))
(pow.f64 x 4)
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(fma.f64 216700011257/5000000000 (pow.f64 x 3) (pow.f64 x 4))
(fma.f64 (pow.f64 x 3) 216700011257/5000000000 (pow.f64 x 4))
(*.f64 (pow.f64 x 3) (+.f64 x 216700011257/5000000000))
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(fma.f64 216700011257/5000000000 (pow.f64 x 3) (fma.f64 263505074721/1000000000 (*.f64 x x) (pow.f64 x 4)))
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(fma.f64 156699607947/500000000 x (fma.f64 216700011257/5000000000 (pow.f64 x 3) (fma.f64 263505074721/1000000000 (*.f64 x x) (pow.f64 x 4))))
(fma.f64 x 156699607947/500000000 (fma.f64 (pow.f64 x 3) 216700011257/5000000000 (fma.f64 (*.f64 x x) 263505074721/1000000000 (pow.f64 x 4))))
(*.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000))

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.4b	(*.f64 z -1000000000/23533438303)

Compiler

Compiled 8 to 6 computations (25% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	z	@	0	(*.f64 z -1000000000/23533438303)
0.0ms	z	@	inf	(*.f64 z -1000000000/23533438303)
0.0ms	z	@	-inf	(*.f64 z -1000000000/23533438303)

rewrite59.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

345×	`pow1_binary64`
339×	`add-sqr-sqrt_binary64`
329×	`*-un-lft-identity_binary64`
322×	`add-log-exp_binary64`
322×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	4
1	80	4
2	875	4

Stop Event

1×	node limit

Counts

1 → 25

Calls

Call 1

Inputs
(*.f64 z -1000000000/23533438303)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (*.f64 z -1000000000/23533438303)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 z -1000000000/23533438303))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1000000000/23533438303) z))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1000000000/23533438303) z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -2000000000/23533438303) z))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1000000000/23533438303) z))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 z -1000000000/23533438303)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 z -1000000000/23533438303)) 3) 1) (+.f64 (*.f64 (+.f64 1 (*.f64 z -1000000000/23533438303)) (+.f64 1 (*.f64 z -1000000000/23533438303))) (+.f64 1 (*.f64 (+.f64 1 (*.f64 z -1000000000/23533438303)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 1 (*.f64 z -1000000000/23533438303)) (+.f64 1 (*.f64 z -1000000000/23533438303))) 1) (+.f64 (+.f64 1 (*.f64 z -1000000000/23533438303)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z -1000000000/23533438303) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z -1000000000/23533438303) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1000000000000000000000000000/13033352773350869092174451844127 (pow.f64 z 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z -1000000000/23533438303)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 z -1000000000/23533438303)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 z -1000000000/23533438303)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 z -1000000000/23533438303)))) (sqrt.f64 (log.f64 (*.f64 z -1000000000/23533438303))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 z -1000000000/23533438303))) 2)) (cbrt.f64 (log.f64 (*.f64 z -1000000000/23533438303))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 z -1000000000/23533438303) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 z -1000000000/23533438303))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1000000000/23533438303) z))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 -1000000000000000000000000000/13033352773350869092174451844127 (pow.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z -1000000000/23533438303)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z -1000000000/23533438303)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z -1000000000/23533438303)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 z -1000000000/23533438303))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 z -1000000000/23533438303))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 z -1000000000/23533438303))) 2))))))

simplify11.0ms (0%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	48
1	5	48

Stop Event

1×

saturated

Counts

37 → 26

Calls

Call 1

Inputs
(*.f64 -1000000000/23533438303 z)
(*.f64 -1000000000/23533438303 z)
(*.f64 -1000000000/23533438303 z)
(*.f64 -1000000000/23533438303 z)
(*.f64 -1000000000/23533438303 z)
(*.f64 -1000000000/23533438303 z)
(*.f64 -1000000000/23533438303 z)
(*.f64 -1000000000/23533438303 z)
(*.f64 -1000000000/23533438303 z)
(*.f64 -1000000000/23533438303 z)
(*.f64 -1000000000/23533438303 z)
(*.f64 -1000000000/23533438303 z)

Outputs
(*.f64 -1000000000/23533438303 z)
(*.f64 -1000000000/23533438303 z)
(*.f64 -1000000000/23533438303 z)
(*.f64 -1000000000/23533438303 z)
(*.f64 -1000000000/23533438303 z)
(*.f64 -1000000000/23533438303 z)
(*.f64 -1000000000/23533438303 z)
(*.f64 -1000000000/23533438303 z)
(*.f64 -1000000000/23533438303 z)
(*.f64 -1000000000/23533438303 z)
(*.f64 -1000000000/23533438303 z)
(*.f64 -1000000000/23533438303 z)

localize16.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 x 156699607947/500000000) 23533438303/500000000)
✓	0.2b	(*.f64 x 156699607947/500000000)
✓	7.7b	(/.f64 (.f64 z (-.f64 x 2)) (+.f64 (.f64 x 156699607947/500000000) 23533438303/500000000))

Compiler

Compiled 35 to 25 computations (28.6% saved)

series75.0ms (0.2%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
68.0ms	x	@	-inf	(*.f64 x 156699607947/500000000)
1.0ms	z	@	0	(/.f64 (.f64 z (-.f64 x 2)) (+.f64 (.f64 x 156699607947/500000000) 23533438303/500000000))
1.0ms	z	@	inf	(/.f64 (.f64 z (-.f64 x 2)) (+.f64 (.f64 x 156699607947/500000000) 23533438303/500000000))
1.0ms	x	@	inf	(/.f64 (.f64 z (-.f64 x 2)) (+.f64 (.f64 x 156699607947/500000000) 23533438303/500000000))
1.0ms	x	@	-inf	(/.f64 (.f64 z (-.f64 x 2)) (+.f64 (.f64 x 156699607947/500000000) 23533438303/500000000))

rewrite90.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

594×	`log-prod_binary64`
359×	`pow-prod-down_binary64`
325×	`pow2_binary64`
227×	`pow1/3_binary64`
226×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	23
1	253	23
2	3384	23

Stop Event

1×	node limit

Counts

3 → 111

Calls

Call 1

Inputs
(/.f64 (.f64 z (-.f64 x 2)) (+.f64 (.f64 x 156699607947/500000000) 23533438303/500000000))
(*.f64 x 156699607947/500000000)
(+.f64 (*.f64 x 156699607947/500000000) 23533438303/500000000)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 z (fma.f64 x 156699607947/500000000 23533438303/500000000)) (+.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 z (fma.f64 x 156699607947/500000000 23533438303/500000000)) (+.f64 x -2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 z (fma.f64 x 156699607947/500000000 23533438303/500000000)) (+.f64 x -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 z (fma.f64 x 156699607947/500000000 23533438303/500000000)) (+.f64 x -2))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 z (fma.f64 x 156699607947/500000000 23533438303/500000000)) (+.f64 x -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 z (fma.f64 x 156699607947/500000000 23533438303/500000000)) (+.f64 x -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (/.f64 1 (/.f64 (fma.f64 x 156699607947/500000000 23533438303/500000000) (+.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (*.f64 (+.f64 x -2) (/.f64 1 (fma.f64 x 156699607947/500000000 23533438303/500000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x -2) (*.f64 z (/.f64 1 (fma.f64 x 156699607947/500000000 23533438303/500000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (+.f64 x -2)) (/.f64 1 (fma.f64 x 156699607947/500000000 23533438303/500000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 z (fma.f64 x 156699607947/500000000 23533438303/500000000)) (+.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 z (fma.f64 x 156699607947/500000000 23533438303/500000000)) (+.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 z (fma.f64 x 156699607947/500000000 23533438303/500000000)) (+.f64 x -2))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 z (fma.f64 x 156699607947/500000000 23533438303/500000000)) (+.f64 x -2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 z (fma.f64 x 156699607947/500000000 23533438303/500000000)) (+.f64 x -2))) 2) (cbrt.f64 (*.f64 (/.f64 z (fma.f64 x 156699607947/500000000 23533438303/500000000)) (+.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 z (+.f64 x -2))) 2) (*.f64 (cbrt.f64 (*.f64 z (+.f64 x -2))) (/.f64 1 (fma.f64 x 156699607947/500000000 23533438303/500000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 z (fma.f64 x 156699607947/500000000 23533438303/500000000)) (+.f64 x -2))) (sqrt.f64 (*.f64 (/.f64 z (fma.f64 x 156699607947/500000000 23533438303/500000000)) (+.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 z (+.f64 x -2))) (*.f64 (sqrt.f64 (*.f64 z (+.f64 x -2))) (/.f64 1 (fma.f64 x 156699607947/500000000 23533438303/500000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (neg.f64 (+.f64 x -2))) (/.f64 1 (neg.f64 (fma.f64 x 156699607947/500000000 23533438303/500000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x 156699607947/500000000 23533438303/500000000)) (*.f64 z (+.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z 1) (/.f64 (+.f64 x -2) (fma.f64 x 156699607947/500000000 23533438303/500000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x -2) 1) (/.f64 z (fma.f64 x 156699607947/500000000 23533438303/500000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z (fma.f64 x 156699607947/500000000 23533438303/500000000)) (+.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 z (+.f64 x -2))) 2) 1) (/.f64 (cbrt.f64 (*.f64 z (+.f64 x -2))) (fma.f64 x 156699607947/500000000 23533438303/500000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 z (+.f64 x -2))) 1) (/.f64 (sqrt.f64 (*.f64 z (+.f64 x -2))) (fma.f64 x 156699607947/500000000 23533438303/500000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z (pow.f64 (cbrt.f64 (fma.f64 x 156699607947/500000000 23533438303/500000000)) 2)) (/.f64 (+.f64 x -2) (cbrt.f64 (fma.f64 x 156699607947/500000000 23533438303/500000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x -2) (pow.f64 (cbrt.f64 (fma.f64 x 156699607947/500000000 23533438303/500000000)) 2)) (/.f64 z (cbrt.f64 (fma.f64 x 156699607947/500000000 23533438303/500000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x 156699607947/500000000 23533438303/500000000)) -2) (/.f64 (*.f64 z (+.f64 x -2)) (cbrt.f64 (fma.f64 x 156699607947/500000000 23533438303/500000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 z (+.f64 x -2))) 2) (pow.f64 (cbrt.f64 (fma.f64 x 156699607947/500000000 23533438303/500000000)) 2)) (cbrt.f64 (*.f64 (/.f64 z (fma.f64 x 156699607947/500000000 23533438303/500000000)) (+.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 z (+.f64 x -2))) (pow.f64 (cbrt.f64 (fma.f64 x 156699607947/500000000 23533438303/500000000)) 2)) (/.f64 (sqrt.f64 (*.f64 z (+.f64 x -2))) (cbrt.f64 (fma.f64 x 156699607947/500000000 23533438303/500000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z (sqrt.f64 (fma.f64 x 156699607947/500000000 23533438303/500000000))) (/.f64 (+.f64 x -2) (sqrt.f64 (fma.f64 x 156699607947/500000000 23533438303/500000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x -2) (sqrt.f64 (fma.f64 x 156699607947/500000000 23533438303/500000000))) (/.f64 z (sqrt.f64 (fma.f64 x 156699607947/500000000 23533438303/500000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x 156699607947/500000000 23533438303/500000000) -1/2) (/.f64 (*.f64 z (+.f64 x -2)) (sqrt.f64 (fma.f64 x 156699607947/500000000 23533438303/500000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 z (+.f64 x -2))) 2) (sqrt.f64 (fma.f64 x 156699607947/500000000 23533438303/500000000))) (/.f64 (cbrt.f64 (*.f64 z (+.f64 x -2))) (sqrt.f64 (fma.f64 x 156699607947/500000000 23533438303/500000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 z (+.f64 x -2)) (fma.f64 3847722382617389411054987020467123/125000000000000000000000000 (pow.f64 x 3) 13033352773350869092174451844127/125000000000000000000000000)) (-.f64 (fma.f64 (*.f64 x x) 24554767130743505554809/250000000000000000 553822718361107519809/250000000000000000) (*.f64 x 3687680555725012993941/250000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 z (+.f64 x -2)) (fma.f64 (*.f64 x x) 24554767130743505554809/250000000000000000 -553822718361107519809/250000000000000000)) (fma.f64 x 156699607947/500000000 -23533438303/500000000))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 z (fma.f64 x 156699607947/500000000 23533438303/500000000)) (+.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 z (fma.f64 x 156699607947/500000000 23533438303/500000000)) (+.f64 x -2)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 z (fma.f64 x 156699607947/500000000 23533438303/500000000)) (+.f64 x -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 z (fma.f64 x 156699607947/500000000 23533438303/500000000)) (+.f64 x -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 z (fma.f64 x 156699607947/500000000 23533438303/500000000)) (+.f64 x -2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x 156699607947/500000000 23533438303/500000000) (*.f64 z (+.f64 x -2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 z (+.f64 x -2)) 3) (pow.f64 (fma.f64 x 156699607947/500000000 23533438303/500000000) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (fma.f64 x 156699607947/500000000 23533438303/500000000) (*.f64 z (+.f64 x -2))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 z (+.f64 x -2)) (neg.f64 (fma.f64 x 156699607947/500000000 23533438303/500000000))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 z (fma.f64 x 156699607947/500000000 23533438303/500000000)) (+.f64 x -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 z (fma.f64 x 156699607947/500000000 23533438303/500000000)) (+.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 z (fma.f64 x 156699607947/500000000 23533438303/500000000)) (+.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 z (fma.f64 x 156699607947/500000000 23533438303/500000000)) (+.f64 x -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 z (+.f64 x -2)) 3) (pow.f64 (fma.f64 x 156699607947/500000000 23533438303/500000000) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 z (fma.f64 x 156699607947/500000000 23533438303/500000000)) (+.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 z (fma.f64 x 156699607947/500000000 23533438303/500000000)) (+.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 z (fma.f64 x 156699607947/500000000 23533438303/500000000)) (+.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 z (fma.f64 x 156699607947/500000000 23533438303/500000000)) (+.f64 x -2))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x 156699607947/500000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 156699607947/500000000)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 156699607947/500000000))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 156699607947/500000000))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 156699607947/500000000))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x 156699607947/500000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 156699607947/500000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) 24554767130743505554809/250000000000000000) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 156699607947/500000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x 156699607947/500000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3847722382617389411054987020467123/125000000000000000000000000 (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x x) 24554767130743505554809/250000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) 156699607947/500000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x 156699607947/500000000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 3847722382617389411054987020467123/125000000000000000000000000 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x 156699607947/500000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x 156699607947/500000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x 156699607947/500000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x 156699607947/500000000)) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x 156699607947/500000000 23533438303/500000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (*.f64 x x) 24554767130743505554809/250000000000000000) (fma.f64 x 156699607947/500000000 -23533438303/500000000)) (/.f64 553822718361107519809/250000000000000000 (fma.f64 x 156699607947/500000000 -23533438303/500000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x 156699607947/500000000 23533438303/500000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x 156699607947/500000000 23533438303/500000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x 156699607947/500000000 23533438303/500000000)) (pow.f64 (cbrt.f64 (fma.f64 x 156699607947/500000000 23533438303/500000000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x 156699607947/500000000 23533438303/500000000)) 2) (cbrt.f64 (fma.f64 x 156699607947/500000000 23533438303/500000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x 156699607947/500000000 23533438303/500000000)) (sqrt.f64 (fma.f64 x 156699607947/500000000 23533438303/500000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 3847722382617389411054987020467123/125000000000000000000000000 (pow.f64 x 3) 13033352773350869092174451844127/125000000000000000000000000) (/.f64 1 (-.f64 (fma.f64 (*.f64 x x) 24554767130743505554809/250000000000000000 553822718361107519809/250000000000000000) (*.f64 x 3687680555725012993941/250000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (*.f64 x x) 24554767130743505554809/250000000000000000 -553822718361107519809/250000000000000000) (/.f64 1 (fma.f64 x 156699607947/500000000 -23533438303/500000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (fma.f64 (*.f64 x x) 24554767130743505554809/250000000000000000 553822718361107519809/250000000000000000) (*.f64 x 3687680555725012993941/250000000000000000)) (fma.f64 3847722382617389411054987020467123/125000000000000000000000000 (pow.f64 x 3) 13033352773350869092174451844127/125000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x 156699607947/500000000 -23533438303/500000000) (fma.f64 (*.f64 x x) 24554767130743505554809/250000000000000000 -553822718361107519809/250000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 3847722382617389411054987020467123/125000000000000000000000000 (pow.f64 x 3) 13033352773350869092174451844127/125000000000000000000000000) (-.f64 (fma.f64 (*.f64 x x) 24554767130743505554809/250000000000000000 553822718361107519809/250000000000000000) (*.f64 x 3687680555725012993941/250000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 3847722382617389411054987020467123/125000000000000000000000000 (pow.f64 x 3) 13033352773350869092174451844127/125000000000000000000000000) (+.f64 553822718361107519809/250000000000000000 (-.f64 (*.f64 (*.f64 x x) 24554767130743505554809/250000000000000000) (*.f64 x 3687680555725012993941/250000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (*.f64 x x) 24554767130743505554809/250000000000000000 -553822718361107519809/250000000000000000) (fma.f64 x 156699607947/500000000 -23533438303/500000000))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 3847722382617389411054987020467123/125000000000000000000000000 (pow.f64 x 3) 13033352773350869092174451844127/125000000000000000000000000)) (neg.f64 (-.f64 (fma.f64 (*.f64 x x) 24554767130743505554809/250000000000000000 553822718361107519809/250000000000000000) (*.f64 x 3687680555725012993941/250000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (*.f64 x x) 24554767130743505554809/250000000000000000 -553822718361107519809/250000000000000000)) (neg.f64 (fma.f64 x 156699607947/500000000 -23533438303/500000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 553822718361107519809/250000000000000000 (*.f64 (*.f64 x x) 24554767130743505554809/250000000000000000)) (-.f64 23533438303/500000000 (*.f64 x 156699607947/500000000)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x 156699607947/500000000 23533438303/500000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 156699607947/500000000 23533438303/500000000) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 156699607947/500000000 23533438303/500000000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x 156699607947/500000000 23533438303/500000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x 156699607947/500000000 23533438303/500000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (fma.f64 (*.f64 x x) 24554767130743505554809/250000000000000000 553822718361107519809/250000000000000000) (*.f64 x 3687680555725012993941/250000000000000000)) (fma.f64 3847722382617389411054987020467123/125000000000000000000000000 (pow.f64 x 3) 13033352773350869092174451844127/125000000000000000000000000)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x 156699607947/500000000 -23533438303/500000000) (fma.f64 (*.f64 x x) 24554767130743505554809/250000000000000000 -553822718361107519809/250000000000000000)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x 156699607947/500000000 23533438303/500000000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x 156699607947/500000000 23533438303/500000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 156699607947/500000000 23533438303/500000000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x 156699607947/500000000 23533438303/500000000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x 156699607947/500000000 23533438303/500000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x 156699607947/500000000 23533438303/500000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x 156699607947/500000000 23533438303/500000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x 156699607947/500000000 23533438303/500000000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 156699607947/500000000 23533438303/500000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 156699607947/500000000 x 23533438303/500000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x 156699607947/500000000) 1 23533438303/500000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x 156699607947/500000000) 23533438303/500000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x 156699607947/500000000)) (cbrt.f64 (*.f64 (*.f64 x x) 24554767130743505554809/250000000000000000)) 23533438303/500000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (*.f64 x x) 24554767130743505554809/250000000000000000)) (cbrt.f64 (*.f64 x 156699607947/500000000)) 23533438303/500000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 156699607947/500000000) 23533438303/500000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x 156699607947/500000000)) (sqrt.f64 (*.f64 x 156699607947/500000000)) 23533438303/500000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 156699607947/500000000) 23533438303/500000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 156699607947/500000000 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) 23533438303/500000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 156699607947/500000000 (sqrt.f64 x)) (sqrt.f64 x) 23533438303/500000000)))))

simplify79.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

625×	`fma-neg_binary64`
532×	`times-frac_binary64`
392×	`associate-/l*_binary64`
359×	`associate-+l+_binary64`
296×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	59	552
1	174	544
2	543	474
3	2125	460
4	7169	460

Stop Event

1×	node limit

Counts

159 → 135

Calls

Call 1

Inputs
(/.f64 (.f64 z (-.f64 x 2)) (+.f64 (.f64 156699607947/500000000 x) 23533438303/500000000))
(/.f64 (.f64 z (-.f64 x 2)) (+.f64 (.f64 156699607947/500000000 x) 23533438303/500000000))
(/.f64 (.f64 z (-.f64 x 2)) (+.f64 (.f64 156699607947/500000000 x) 23533438303/500000000))
(/.f64 (.f64 z (-.f64 x 2)) (+.f64 (.f64 156699607947/500000000 x) 23533438303/500000000))
(/.f64 (.f64 z (-.f64 x 2)) (+.f64 (.f64 156699607947/500000000 x) 23533438303/500000000))
(/.f64 (.f64 z (-.f64 x 2)) (+.f64 (.f64 156699607947/500000000 x) 23533438303/500000000))
(/.f64 (.f64 z (-.f64 x 2)) (+.f64 (.f64 156699607947/500000000 x) 23533438303/500000000))
(/.f64 (.f64 z (-.f64 x 2)) (+.f64 (.f64 156699607947/500000000 x) 23533438303/500000000))
(/.f64 (.f64 z (-.f64 x 2)) (+.f64 23533438303/500000000 (.f64 156699607947/500000000 x)))
(/.f64 (.f64 z (-.f64 x 2)) (+.f64 23533438303/500000000 (.f64 156699607947/500000000 x)))
(/.f64 (.f64 z (-.f64 x 2)) (+.f64 23533438303/500000000 (.f64 156699607947/500000000 x)))
(/.f64 (.f64 z (-.f64 x 2)) (+.f64 23533438303/500000000 (.f64 156699607947/500000000 x)))
(*.f64 -1000000000/23533438303 z)
(+.f64 (.f64 (-.f64 (.f64 500000000/23533438303 z) (.f64 -156699607947000000000/553822718361107519809 z)) x) (.f64 -1000000000/23533438303 z))
(+.f64 (.f64 -156699607947/23533438303 (.f64 (-.f64 (.f64 500000000/23533438303 z) (.f64 -156699607947000000000/553822718361107519809 z)) (pow.f64 x 2))) (+.f64 (.f64 (-.f64 (.f64 500000000/23533438303 z) (.f64 -156699607947000000000/553822718361107519809 z)) x) (.f64 -1000000000/23533438303 z)))
(+.f64 (.f64 -156699607947/23533438303 (.f64 (-.f64 (.f64 500000000/23533438303 z) (.f64 -156699607947000000000/553822718361107519809 z)) (pow.f64 x 2))) (+.f64 (.f64 (-.f64 (.f64 500000000/23533438303 z) (.f64 -156699607947000000000/553822718361107519809 z)) x) (+.f64 (.f64 24554767130743505554809/553822718361107519809 (.f64 (-.f64 (.f64 500000000/23533438303 z) (.f64 -156699607947000000000/553822718361107519809 z)) (pow.f64 x 3))) (.f64 -1000000000/23533438303 z))))
(*.f64 500000000/156699607947 z)
(-.f64 (+.f64 (.f64 -1000000000/156699607947 (/.f64 z x)) (.f64 500000000/156699607947 z)) (*.f64 11766719151500000000/24554767130743505554809 (/.f64 z x)))
(-.f64 (+.f64 (.f64 -23533438303/156699607947 (/.f64 (-.f64 (.f64 -1000000000/156699607947 z) (.f64 11766719151500000000/24554767130743505554809 z)) (pow.f64 x 2))) (+.f64 (.f64 -1000000000/156699607947 (/.f64 z x)) (.f64 500000000/156699607947 z))) (.f64 11766719151500000000/24554767130743505554809 (/.f64 z x)))
(-.f64 (+.f64 (.f64 -23533438303/156699607947 (/.f64 (-.f64 (.f64 -1000000000/156699607947 z) (.f64 11766719151500000000/24554767130743505554809 z)) (pow.f64 x 2))) (+.f64 (.f64 -1000000000/156699607947 (/.f64 z x)) (+.f64 (.f64 500000000/156699607947 z) (.f64 553822718361107519809/24554767130743505554809 (/.f64 (-.f64 (.f64 -1000000000/156699607947 z) (.f64 11766719151500000000/24554767130743505554809 z)) (pow.f64 x 3)))))) (*.f64 11766719151500000000/24554767130743505554809 (/.f64 z x)))
(*.f64 500000000/156699607947 z)
(-.f64 (+.f64 (.f64 -1000000000/156699607947 (/.f64 z x)) (.f64 500000000/156699607947 z)) (*.f64 11766719151500000000/24554767130743505554809 (/.f64 z x)))
(-.f64 (+.f64 (.f64 -23533438303/156699607947 (/.f64 (-.f64 (.f64 -1000000000/156699607947 z) (.f64 11766719151500000000/24554767130743505554809 z)) (pow.f64 x 2))) (+.f64 (.f64 -1000000000/156699607947 (/.f64 z x)) (.f64 500000000/156699607947 z))) (.f64 11766719151500000000/24554767130743505554809 (/.f64 z x)))
(-.f64 (+.f64 (.f64 -23533438303/156699607947 (/.f64 (-.f64 (.f64 -1000000000/156699607947 z) (.f64 11766719151500000000/24554767130743505554809 z)) (pow.f64 x 2))) (+.f64 (.f64 -1000000000/156699607947 (/.f64 z x)) (+.f64 (.f64 500000000/156699607947 z) (.f64 553822718361107519809/24554767130743505554809 (/.f64 (-.f64 (.f64 -1000000000/156699607947 z) (.f64 11766719151500000000/24554767130743505554809 z)) (pow.f64 x 3)))))) (*.f64 11766719151500000000/24554767130743505554809 (/.f64 z x)))
(*.f64 156699607947/500000000 x)
(*.f64 156699607947/500000000 x)
(*.f64 156699607947/500000000 x)
(*.f64 156699607947/500000000 x)
(*.f64 156699607947/500000000 x)
(*.f64 156699607947/500000000 x)
(*.f64 156699607947/500000000 x)
(*.f64 156699607947/500000000 x)
(*.f64 156699607947/500000000 x)
(*.f64 156699607947/500000000 x)
(*.f64 156699607947/500000000 x)
(*.f64 156699607947/500000000 x)
23533438303/500000000
(+.f64 (*.f64 156699607947/500000000 x) 23533438303/500000000)
(+.f64 (*.f64 156699607947/500000000 x) 23533438303/500000000)
(+.f64 (*.f64 156699607947/500000000 x) 23533438303/500000000)
(*.f64 156699607947/500000000 x)
(+.f64 23533438303/500000000 (*.f64 156699607947/500000000 x))
(+.f64 23533438303/500000000 (*.f64 156699607947/500000000 x))
(+.f64 23533438303/500000000 (*.f64 156699607947/500000000 x))
(*.f64 156699607947/500000000 x)
(+.f64 23533438303/500000000 (*.f64 156699607947/500000000 x))
(+.f64 23533438303/500000000 (*.f64 156699607947/500000000 x))
(+.f64 23533438303/500000000 (*.f64 156699607947/500000000 x))

Outputs
(/.f64 (.f64 z (-.f64 x 2)) (+.f64 (.f64 156699607947/500000000 x) 23533438303/500000000))
(/.f64 (*.f64 z (+.f64 x -2)) (fma.f64 156699607947/500000000 x 23533438303/500000000))
(/.f64 z (/.f64 (fma.f64 x 156699607947/500000000 23533438303/500000000) (+.f64 x -2)))
(*.f64 (+.f64 x -2) (/.f64 z (fma.f64 x 156699607947/500000000 23533438303/500000000)))
(*.f64 z (/.f64 (+.f64 x -2) (fma.f64 x 156699607947/500000000 23533438303/500000000)))
(/.f64 (.f64 z (-.f64 x 2)) (+.f64 (.f64 156699607947/500000000 x) 23533438303/500000000))
(/.f64 (*.f64 z (+.f64 x -2)) (fma.f64 156699607947/500000000 x 23533438303/500000000))
(/.f64 z (/.f64 (fma.f64 x 156699607947/500000000 23533438303/500000000) (+.f64 x -2)))
(*.f64 (+.f64 x -2) (/.f64 z (fma.f64 x 156699607947/500000000 23533438303/500000000)))
(*.f64 z (/.f64 (+.f64 x -2) (fma.f64 x 156699607947/500000000 23533438303/500000000)))
(/.f64 (.f64 z (-.f64 x 2)) (+.f64 (.f64 156699607947/500000000 x) 23533438303/500000000))
(/.f64 (*.f64 z (+.f64 x -2)) (fma.f64 156699607947/500000000 x 23533438303/500000000))
(/.f64 z (/.f64 (fma.f64 x 156699607947/500000000 23533438303/500000000) (+.f64 x -2)))
(*.f64 (+.f64 x -2) (/.f64 z (fma.f64 x 156699607947/500000000 23533438303/500000000)))
(*.f64 z (/.f64 (+.f64 x -2) (fma.f64 x 156699607947/500000000 23533438303/500000000)))
(/.f64 (.f64 z (-.f64 x 2)) (+.f64 (.f64 156699607947/500000000 x) 23533438303/500000000))
(/.f64 (*.f64 z (+.f64 x -2)) (fma.f64 156699607947/500000000 x 23533438303/500000000))
(/.f64 z (/.f64 (fma.f64 x 156699607947/500000000 23533438303/500000000) (+.f64 x -2)))
(*.f64 (+.f64 x -2) (/.f64 z (fma.f64 x 156699607947/500000000 23533438303/500000000)))
(*.f64 z (/.f64 (+.f64 x -2) (fma.f64 x 156699607947/500000000 23533438303/500000000)))
(/.f64 (.f64 z (-.f64 x 2)) (+.f64 (.f64 156699607947/500000000 x) 23533438303/500000000))
(/.f64 (*.f64 z (+.f64 x -2)) (fma.f64 156699607947/500000000 x 23533438303/500000000))
(/.f64 z (/.f64 (fma.f64 x 156699607947/500000000 23533438303/500000000) (+.f64 x -2)))
(*.f64 (+.f64 x -2) (/.f64 z (fma.f64 x 156699607947/500000000 23533438303/500000000)))
(*.f64 z (/.f64 (+.f64 x -2) (fma.f64 x 156699607947/500000000 23533438303/500000000)))
(/.f64 (.f64 z (-.f64 x 2)) (+.f64 (.f64 156699607947/500000000 x) 23533438303/500000000))
(/.f64 (*.f64 z (+.f64 x -2)) (fma.f64 156699607947/500000000 x 23533438303/500000000))
(/.f64 z (/.f64 (fma.f64 x 156699607947/500000000 23533438303/500000000) (+.f64 x -2)))
(*.f64 (+.f64 x -2) (/.f64 z (fma.f64 x 156699607947/500000000 23533438303/500000000)))
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(/.f64 (.f64 z (-.f64 x 2)) (+.f64 (.f64 156699607947/500000000 x) 23533438303/500000000))
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(/.f64 z (/.f64 (fma.f64 x 156699607947/500000000 23533438303/500000000) (+.f64 x -2)))
(*.f64 (+.f64 x -2) (/.f64 z (fma.f64 x 156699607947/500000000 23533438303/500000000)))
(*.f64 z (/.f64 (+.f64 x -2) (fma.f64 x 156699607947/500000000 23533438303/500000000)))
(/.f64 (.f64 z (-.f64 x 2)) (+.f64 (.f64 156699607947/500000000 x) 23533438303/500000000))
(/.f64 (*.f64 z (+.f64 x -2)) (fma.f64 156699607947/500000000 x 23533438303/500000000))
(/.f64 z (/.f64 (fma.f64 x 156699607947/500000000 23533438303/500000000) (+.f64 x -2)))
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(*.f64 z (/.f64 (+.f64 x -2) (fma.f64 x 156699607947/500000000 23533438303/500000000)))
(/.f64 (.f64 z (-.f64 x 2)) (+.f64 23533438303/500000000 (.f64 156699607947/500000000 x)))
(/.f64 (*.f64 z (+.f64 x -2)) (fma.f64 156699607947/500000000 x 23533438303/500000000))
(/.f64 z (/.f64 (fma.f64 x 156699607947/500000000 23533438303/500000000) (+.f64 x -2)))
(*.f64 (+.f64 x -2) (/.f64 z (fma.f64 x 156699607947/500000000 23533438303/500000000)))
(*.f64 z (/.f64 (+.f64 x -2) (fma.f64 x 156699607947/500000000 23533438303/500000000)))
(/.f64 (.f64 z (-.f64 x 2)) (+.f64 23533438303/500000000 (.f64 156699607947/500000000 x)))
(/.f64 (*.f64 z (+.f64 x -2)) (fma.f64 156699607947/500000000 x 23533438303/500000000))
(/.f64 z (/.f64 (fma.f64 x 156699607947/500000000 23533438303/500000000) (+.f64 x -2)))
(*.f64 (+.f64 x -2) (/.f64 z (fma.f64 x 156699607947/500000000 23533438303/500000000)))
(*.f64 z (/.f64 (+.f64 x -2) (fma.f64 x 156699607947/500000000 23533438303/500000000)))
(/.f64 (.f64 z (-.f64 x 2)) (+.f64 23533438303/500000000 (.f64 156699607947/500000000 x)))
(/.f64 (*.f64 z (+.f64 x -2)) (fma.f64 156699607947/500000000 x 23533438303/500000000))
(/.f64 z (/.f64 (fma.f64 x 156699607947/500000000 23533438303/500000000) (+.f64 x -2)))
(*.f64 (+.f64 x -2) (/.f64 z (fma.f64 x 156699607947/500000000 23533438303/500000000)))
(*.f64 z (/.f64 (+.f64 x -2) (fma.f64 x 156699607947/500000000 23533438303/500000000)))
(/.f64 (.f64 z (-.f64 x 2)) (+.f64 23533438303/500000000 (.f64 156699607947/500000000 x)))
(/.f64 (*.f64 z (+.f64 x -2)) (fma.f64 156699607947/500000000 x 23533438303/500000000))
(/.f64 z (/.f64 (fma.f64 x 156699607947/500000000 23533438303/500000000) (+.f64 x -2)))
(*.f64 (+.f64 x -2) (/.f64 z (fma.f64 x 156699607947/500000000 23533438303/500000000)))
(*.f64 z (/.f64 (+.f64 x -2) (fma.f64 x 156699607947/500000000 23533438303/500000000)))
(*.f64 -1000000000/23533438303 z)
(*.f64 z -1000000000/23533438303)
(+.f64 (.f64 (-.f64 (.f64 500000000/23533438303 z) (.f64 -156699607947000000000/553822718361107519809 z)) x) (.f64 -1000000000/23533438303 z))
(fma.f64 (.f64 z 168466327098500000000/553822718361107519809) x (.f64 z -1000000000/23533438303))
(fma.f64 x (.f64 z 168466327098500000000/553822718361107519809) (.f64 z -1000000000/23533438303))
(.f64 z (+.f64 -1000000000/23533438303 (.f64 x 168466327098500000000/553822718361107519809)))
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(fma.f64 -156699607947/23533438303 (.f64 (.f64 z 168466327098500000000/553822718361107519809) (.f64 x x)) (fma.f64 (.f64 z 168466327098500000000/553822718361107519809) x (*.f64 z -1000000000/23533438303)))
(fma.f64 -156699607947/23533438303 (.f64 z (.f64 168466327098500000000/553822718361107519809 (.f64 x x))) (fma.f64 x (.f64 z 168466327098500000000/553822718361107519809) (*.f64 z -1000000000/23533438303)))
(fma.f64 z -1000000000/23533438303 (.f64 (.f64 z 168466327098500000000/553822718361107519809) (+.f64 x (.f64 x (.f64 x -156699607947/23533438303)))))
(fma.f64 z -1000000000/23533438303 (.f64 (+.f64 (.f64 x -156699607947/23533438303) 1) (.f64 168466327098500000000/553822718361107519809 (.f64 z x))))
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(fma.f64 -156699607947/23533438303 (.f64 (.f64 z 168466327098500000000/553822718361107519809) (.f64 x x)) (fma.f64 (.f64 z 168466327098500000000/553822718361107519809) x (fma.f64 24554767130743505554809/553822718361107519809 (.f64 (.f64 z 168466327098500000000/553822718361107519809) (pow.f64 x 3)) (*.f64 z -1000000000/23533438303))))
(fma.f64 -156699607947/23533438303 (.f64 z (.f64 168466327098500000000/553822718361107519809 (.f64 x x))) (fma.f64 x (.f64 z 168466327098500000000/553822718361107519809) (fma.f64 24554767130743505554809/553822718361107519809 (.f64 (.f64 z 168466327098500000000/553822718361107519809) (pow.f64 x 3)) (*.f64 z -1000000000/23533438303))))
(fma.f64 (.f64 x x) (.f64 z -26398607408606012051779500000000/13033352773350869092174451844127) (fma.f64 z -1000000000/23533438303 (.f64 (.f64 z 168466327098500000000/553822718361107519809) (+.f64 x (*.f64 24554767130743505554809/553822718361107519809 (pow.f64 x 3))))))
(*.f64 500000000/156699607947 z)
(*.f64 z 500000000/156699607947)
(-.f64 (+.f64 (.f64 -1000000000/156699607947 (/.f64 z x)) (.f64 500000000/156699607947 z)) (*.f64 11766719151500000000/24554767130743505554809 (/.f64 z x)))
(+.f64 (fma.f64 -1000000000/156699607947 (/.f64 z x) (.f64 z 500000000/156699607947)) (.f64 -11766719151500000000/24554767130743505554809 (/.f64 z x)))
(fma.f64 -1000000000/156699607947 (/.f64 z x) (fma.f64 z 500000000/156699607947 (*.f64 (/.f64 z x) -11766719151500000000/24554767130743505554809)))
(fma.f64 z 500000000/156699607947 (/.f64 z (/.f64 x -168466327098500000000/24554767130743505554809)))
(-.f64 (+.f64 (.f64 -23533438303/156699607947 (/.f64 (-.f64 (.f64 -1000000000/156699607947 z) (.f64 11766719151500000000/24554767130743505554809 z)) (pow.f64 x 2))) (+.f64 (.f64 -1000000000/156699607947 (/.f64 z x)) (.f64 500000000/156699607947 z))) (.f64 11766719151500000000/24554767130743505554809 (/.f64 z x)))
(+.f64 (fma.f64 -23533438303/156699607947 (/.f64 (.f64 z -168466327098500000000/24554767130743505554809) (.f64 x x)) (fma.f64 -1000000000/156699607947 (/.f64 z x) (.f64 z 500000000/156699607947))) (.f64 -11766719151500000000/24554767130743505554809 (/.f64 z x)))
(fma.f64 -23533438303/156699607947 (/.f64 z (/.f64 (.f64 x x) -168466327098500000000/24554767130743505554809)) (fma.f64 -1000000000/156699607947 (/.f64 z x) (fma.f64 z 500000000/156699607947 (.f64 (/.f64 z x) -11766719151500000000/24554767130743505554809))))
(+.f64 (fma.f64 z 500000000/156699607947 (/.f64 z (/.f64 x -168466327098500000000/24554767130743505554809))) (/.f64 (.f64 z 3964591914905566753845500000000/3847722382617389411054987020467123) (.f64 x x)))
(+.f64 (.f64 z 500000000/156699607947) (.f64 (/.f64 z x) (+.f64 -168466327098500000000/24554767130743505554809 (/.f64 3964591914905566753845500000000/3847722382617389411054987020467123 x))))
(-.f64 (+.f64 (.f64 -23533438303/156699607947 (/.f64 (-.f64 (.f64 -1000000000/156699607947 z) (.f64 11766719151500000000/24554767130743505554809 z)) (pow.f64 x 2))) (+.f64 (.f64 -1000000000/156699607947 (/.f64 z x)) (+.f64 (.f64 500000000/156699607947 z) (.f64 553822718361107519809/24554767130743505554809 (/.f64 (-.f64 (.f64 -1000000000/156699607947 z) (.f64 11766719151500000000/24554767130743505554809 z)) (pow.f64 x 3)))))) (*.f64 11766719151500000000/24554767130743505554809 (/.f64 z x)))
(+.f64 (fma.f64 -23533438303/156699607947 (/.f64 (.f64 z -168466327098500000000/24554767130743505554809) (.f64 x x)) (fma.f64 -1000000000/156699607947 (/.f64 z x) (fma.f64 500000000/156699607947 z (.f64 553822718361107519809/24554767130743505554809 (/.f64 (.f64 z -168466327098500000000/24554767130743505554809) (pow.f64 x 3)))))) (*.f64 -11766719151500000000/24554767130743505554809 (/.f64 z x)))
(+.f64 (fma.f64 -23533438303/156699607947 (/.f64 z (/.f64 (.f64 x x) -168466327098500000000/24554767130743505554809)) (fma.f64 -1000000000/156699607947 (/.f64 z x) (fma.f64 z 500000000/156699607947 (/.f64 (.f64 (.f64 553822718361107519809/24554767130743505554809 z) -168466327098500000000/24554767130743505554809) (pow.f64 x 3))))) (.f64 (/.f64 z x) -11766719151500000000/24554767130743505554809))
(+.f64 (fma.f64 z 500000000/156699607947 (/.f64 z (/.f64 x -168466327098500000000/24554767130743505554809))) (.f64 (.f64 (/.f64 z x) (/.f64 -168466327098500000000/24554767130743505554809 x)) (+.f64 (/.f64 553822718361107519809/24554767130743505554809 x) -23533438303/156699607947)))
(+.f64 (fma.f64 z 500000000/156699607947 (/.f64 (.f64 z -93300479226002781272871062244186500000000/602936588845041648416945693766371838903026481) (pow.f64 x 3))) (.f64 (/.f64 z x) (+.f64 -168466327098500000000/24554767130743505554809 (/.f64 3964591914905566753845500000000/3847722382617389411054987020467123 x))))
(*.f64 500000000/156699607947 z)
(*.f64 z 500000000/156699607947)
(-.f64 (+.f64 (.f64 -1000000000/156699607947 (/.f64 z x)) (.f64 500000000/156699607947 z)) (*.f64 11766719151500000000/24554767130743505554809 (/.f64 z x)))
(+.f64 (fma.f64 -1000000000/156699607947 (/.f64 z x) (.f64 z 500000000/156699607947)) (.f64 -11766719151500000000/24554767130743505554809 (/.f64 z x)))
(fma.f64 -1000000000/156699607947 (/.f64 z x) (fma.f64 z 500000000/156699607947 (*.f64 (/.f64 z x) -11766719151500000000/24554767130743505554809)))
(fma.f64 z 500000000/156699607947 (/.f64 z (/.f64 x -168466327098500000000/24554767130743505554809)))
(-.f64 (+.f64 (.f64 -23533438303/156699607947 (/.f64 (-.f64 (.f64 -1000000000/156699607947 z) (.f64 11766719151500000000/24554767130743505554809 z)) (pow.f64 x 2))) (+.f64 (.f64 -1000000000/156699607947 (/.f64 z x)) (.f64 500000000/156699607947 z))) (.f64 11766719151500000000/24554767130743505554809 (/.f64 z x)))
(+.f64 (fma.f64 -23533438303/156699607947 (/.f64 (.f64 z -168466327098500000000/24554767130743505554809) (.f64 x x)) (fma.f64 -1000000000/156699607947 (/.f64 z x) (.f64 z 500000000/156699607947))) (.f64 -11766719151500000000/24554767130743505554809 (/.f64 z x)))
(fma.f64 -23533438303/156699607947 (/.f64 z (/.f64 (.f64 x x) -168466327098500000000/24554767130743505554809)) (fma.f64 -1000000000/156699607947 (/.f64 z x) (fma.f64 z 500000000/156699607947 (.f64 (/.f64 z x) -11766719151500000000/24554767130743505554809))))
(+.f64 (fma.f64 z 500000000/156699607947 (/.f64 z (/.f64 x -168466327098500000000/24554767130743505554809))) (/.f64 (.f64 z 3964591914905566753845500000000/3847722382617389411054987020467123) (.f64 x x)))
(+.f64 (.f64 z 500000000/156699607947) (.f64 (/.f64 z x) (+.f64 -168466327098500000000/24554767130743505554809 (/.f64 3964591914905566753845500000000/3847722382617389411054987020467123 x))))
(-.f64 (+.f64 (.f64 -23533438303/156699607947 (/.f64 (-.f64 (.f64 -1000000000/156699607947 z) (.f64 11766719151500000000/24554767130743505554809 z)) (pow.f64 x 2))) (+.f64 (.f64 -1000000000/156699607947 (/.f64 z x)) (+.f64 (.f64 500000000/156699607947 z) (.f64 553822718361107519809/24554767130743505554809 (/.f64 (-.f64 (.f64 -1000000000/156699607947 z) (.f64 11766719151500000000/24554767130743505554809 z)) (pow.f64 x 3)))))) (*.f64 11766719151500000000/24554767130743505554809 (/.f64 z x)))
(+.f64 (fma.f64 -23533438303/156699607947 (/.f64 (.f64 z -168466327098500000000/24554767130743505554809) (.f64 x x)) (fma.f64 -1000000000/156699607947 (/.f64 z x) (fma.f64 500000000/156699607947 z (.f64 553822718361107519809/24554767130743505554809 (/.f64 (.f64 z -168466327098500000000/24554767130743505554809) (pow.f64 x 3)))))) (*.f64 -11766719151500000000/24554767130743505554809 (/.f64 z x)))
(+.f64 (fma.f64 -23533438303/156699607947 (/.f64 z (/.f64 (.f64 x x) -168466327098500000000/24554767130743505554809)) (fma.f64 -1000000000/156699607947 (/.f64 z x) (fma.f64 z 500000000/156699607947 (/.f64 (.f64 (.f64 553822718361107519809/24554767130743505554809 z) -168466327098500000000/24554767130743505554809) (pow.f64 x 3))))) (.f64 (/.f64 z x) -11766719151500000000/24554767130743505554809))
(+.f64 (fma.f64 z 500000000/156699607947 (/.f64 z (/.f64 x -168466327098500000000/24554767130743505554809))) (.f64 (.f64 (/.f64 z x) (/.f64 -168466327098500000000/24554767130743505554809 x)) (+.f64 (/.f64 553822718361107519809/24554767130743505554809 x) -23533438303/156699607947)))
(+.f64 (fma.f64 z 500000000/156699607947 (/.f64 (.f64 z -93300479226002781272871062244186500000000/602936588845041648416945693766371838903026481) (pow.f64 x 3))) (.f64 (/.f64 z x) (+.f64 -168466327098500000000/24554767130743505554809 (/.f64 3964591914905566753845500000000/3847722382617389411054987020467123 x))))
(*.f64 156699607947/500000000 x)
(*.f64 x 156699607947/500000000)
(*.f64 156699607947/500000000 x)
(*.f64 x 156699607947/500000000)
(*.f64 156699607947/500000000 x)
(*.f64 x 156699607947/500000000)
(*.f64 156699607947/500000000 x)
(*.f64 x 156699607947/500000000)
(*.f64 156699607947/500000000 x)
(*.f64 x 156699607947/500000000)
(*.f64 156699607947/500000000 x)
(*.f64 x 156699607947/500000000)
(*.f64 156699607947/500000000 x)
(*.f64 x 156699607947/500000000)
(*.f64 156699607947/500000000 x)
(*.f64 x 156699607947/500000000)
(*.f64 156699607947/500000000 x)
(*.f64 x 156699607947/500000000)
(*.f64 156699607947/500000000 x)
(*.f64 x 156699607947/500000000)
(*.f64 156699607947/500000000 x)
(*.f64 x 156699607947/500000000)
(*.f64 156699607947/500000000 x)
(*.f64 x 156699607947/500000000)
23533438303/500000000
(+.f64 (*.f64 156699607947/500000000 x) 23533438303/500000000)
(fma.f64 156699607947/500000000 x 23533438303/500000000)
(fma.f64 x 156699607947/500000000 23533438303/500000000)
(+.f64 (*.f64 156699607947/500000000 x) 23533438303/500000000)
(fma.f64 156699607947/500000000 x 23533438303/500000000)
(fma.f64 x 156699607947/500000000 23533438303/500000000)
(+.f64 (*.f64 156699607947/500000000 x) 23533438303/500000000)
(fma.f64 156699607947/500000000 x 23533438303/500000000)
(fma.f64 x 156699607947/500000000 23533438303/500000000)
(*.f64 156699607947/500000000 x)
(*.f64 x 156699607947/500000000)
(+.f64 23533438303/500000000 (*.f64 156699607947/500000000 x))
(fma.f64 156699607947/500000000 x 23533438303/500000000)
(fma.f64 x 156699607947/500000000 23533438303/500000000)
(+.f64 23533438303/500000000 (*.f64 156699607947/500000000 x))
(fma.f64 156699607947/500000000 x 23533438303/500000000)
(fma.f64 x 156699607947/500000000 23533438303/500000000)
(+.f64 23533438303/500000000 (*.f64 156699607947/500000000 x))
(fma.f64 156699607947/500000000 x 23533438303/500000000)
(fma.f64 x 156699607947/500000000 23533438303/500000000)
(*.f64 156699607947/500000000 x)
(*.f64 x 156699607947/500000000)
(+.f64 23533438303/500000000 (*.f64 156699607947/500000000 x))
(fma.f64 156699607947/500000000 x 23533438303/500000000)
(fma.f64 x 156699607947/500000000 23533438303/500000000)
(+.f64 23533438303/500000000 (*.f64 156699607947/500000000 x))
(fma.f64 156699607947/500000000 x 23533438303/500000000)
(fma.f64 x 156699607947/500000000 23533438303/500000000)
(+.f64 23533438303/500000000 (*.f64 156699607947/500000000 x))
(fma.f64 156699607947/500000000 x 23533438303/500000000)
(fma.f64 x 156699607947/500000000 23533438303/500000000)

localize52.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (+.f64 x -2) (+.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (.f64 x x)) (.f64 (/.f64 1 x) (/.f64 (+.f64 y -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000) (.f64 x x))))))
	1.2b	(/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (*.f64 x x))
✓	3.6b	(/.f64 (+.f64 y -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000) (*.f64 x x))
✓	9.3b	(+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (.f64 x x)) (.f64 (/.f64 1 x) (/.f64 (+.f64 y -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000) (*.f64 x x))))

Compiler

Compiled 121 to 73 computations (39.7% saved)

series8.0ms (0%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	(/.f64 (+.f64 y -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000) (*.f64 x x))
1.0ms	y	@	0	(/.f64 (+.f64 y -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000) (*.f64 x x))
1.0ms	y	@	inf	(/.f64 (+.f64 y -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000) (*.f64 x x))
0.0ms	x	@	0	(/.f64 (+.f64 y -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000) (*.f64 x x))
0.0ms	x	@	inf	(+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (.f64 x x)) (.f64 (/.f64 1 x) (/.f64 (+.f64 y -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000) (*.f64 x x))))

rewrite236.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

434×	`log1p-udef_binary64`
258×	`add-sqr-sqrt_binary64`
243×	`add-cbrt-cube_binary64`
243×	`add-exp-log_binary64`
243×	`add-log-exp_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	69
1	508	59
2	7966	59

Stop Event

1×	node limit

Counts

3 → 142

Calls

Call 1

Inputs

(+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (*.f64 x x)) (*.f64 (/.f64 1 x) (/.f64 (+.f64 y -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000) (*.f64 x x))))

(/.f64 (+.f64 y -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000) (*.f64 x x))

(*.f64 (+.f64 x -2) (+.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (*.f64 x x)) (*.f64 (/.f64 1 x) (/.f64 (+.f64 y -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000) (*.f64 x x))))))

Outputs

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2157218858562374472887084159837293/625000000000000000000000000000 (pow.f64 x -2) (/.f64 (+.f64 y -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000) (pow.f64 x 3))) (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 (fma.f64 2157218858562374472887084159837293/625000000000000000000000000000 (pow.f64 x -2) (/.f64 (+.f64 y -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000) (pow.f64 x 3))) (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x))) 3) (pow.f64 (+.f64 x -2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 x -2) (+.f64 (fma.f64 2157218858562374472887084159837293/625000000000000000000000000000 (pow.f64 x -2) (/.f64 (+.f64 y -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000) (pow.f64 x 3))) (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 x -2) (+.f64 (fma.f64 2157218858562374472887084159837293/625000000000000000000000000000 (pow.f64 x -2) (/.f64 (+.f64 y -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000) (pow.f64 x 3))) (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 x -2) (+.f64 (fma.f64 2157218858562374472887084159837293/625000000000000000000000000000 (pow.f64 x -2) (/.f64 (+.f64 y -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000) (pow.f64 x 3))) (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 x -2) (+.f64 (fma.f64 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-387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000) (pow.f64 x 3))) (+.f64 x -2)))))))

simplify202.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

699×	`fma-def_binary64`
458×	`associate-+l+_binary64`
393×	`associate-+r+_binary64`
383×	`associate-/r*_binary64`
350×	`div-sub_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	77	1347
1	222	1347
2	610	1345
3	1934	1171
4	7821	1171

Stop Event

1×	node limit

Counts

214 → 184

Calls

Call 1

Inputs
(/.f64 (-.f64 y 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000) (pow.f64 x 3))
(-.f64 (+.f64 (.f64 2157218858562374472887084159837293/625000000000000000000000000000 (/.f64 1 (pow.f64 x 2))) (/.f64 y (pow.f64 x 3))) (.f64 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 2157218858562374472887084159837293/625000000000000000000000000000 (/.f64 1 (pow.f64 x 2))) (/.f64 y (pow.f64 x 3))) (.f64 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 2157218858562374472887084159837293/625000000000000000000000000000 (/.f64 1 (pow.f64 x 2))) (/.f64 y (pow.f64 x 3))) (.f64 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 3))))
(/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (pow.f64 x 2))
(-.f64 (+.f64 (/.f64 y (pow.f64 x 3)) (.f64 2157218858562374472887084159837293/625000000000000000000000000000 (/.f64 1 (pow.f64 x 2)))) (.f64 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 y (pow.f64 x 3)) (.f64 2157218858562374472887084159837293/625000000000000000000000000000 (/.f64 1 (pow.f64 x 2)))) (.f64 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 y (pow.f64 x 3)) (.f64 2157218858562374472887084159837293/625000000000000000000000000000 (/.f64 1 (pow.f64 x 2)))) (.f64 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 3))))
(/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (pow.f64 x 2))
(-.f64 (+.f64 (/.f64 y (pow.f64 x 3)) (.f64 2157218858562374472887084159837293/625000000000000000000000000000 (/.f64 1 (pow.f64 x 2)))) (.f64 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 y (pow.f64 x 3)) (.f64 2157218858562374472887084159837293/625000000000000000000000000000 (/.f64 1 (pow.f64 x 2)))) (.f64 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 y (pow.f64 x 3)) (.f64 2157218858562374472887084159837293/625000000000000000000000000000 (/.f64 1 (pow.f64 x 2)))) (.f64 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 3))))
(-.f64 (.f64 2157218858562374472887084159837293/625000000000000000000000000000 (/.f64 1 (pow.f64 x 2))) (.f64 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 y (pow.f64 x 3)) (.f64 2157218858562374472887084159837293/625000000000000000000000000000 (/.f64 1 (pow.f64 x 2)))) (.f64 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 y (pow.f64 x 3)) (.f64 2157218858562374472887084159837293/625000000000000000000000000000 (/.f64 1 (pow.f64 x 2)))) (.f64 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 y (pow.f64 x 3)) (.f64 2157218858562374472887084159837293/625000000000000000000000000000 (/.f64 1 (pow.f64 x 2)))) (.f64 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 3))))
(/.f64 y (pow.f64 x 3))
(-.f64 (+.f64 (/.f64 y (pow.f64 x 3)) (.f64 2157218858562374472887084159837293/625000000000000000000000000000 (/.f64 1 (pow.f64 x 2)))) (.f64 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 y (pow.f64 x 3)) (.f64 2157218858562374472887084159837293/625000000000000000000000000000 (/.f64 1 (pow.f64 x 2)))) (.f64 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 y (pow.f64 x 3)) (.f64 2157218858562374472887084159837293/625000000000000000000000000000 (/.f64 1 (pow.f64 x 2)))) (.f64 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 3))))
(/.f64 y (pow.f64 x 3))
(-.f64 (+.f64 (/.f64 y (pow.f64 x 3)) (.f64 2157218858562374472887084159837293/625000000000000000000000000000 (/.f64 1 (pow.f64 x 2)))) (.f64 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 y (pow.f64 x 3)) (.f64 2157218858562374472887084159837293/625000000000000000000000000000 (/.f64 1 (pow.f64 x 2)))) (.f64 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 y (pow.f64 x 3)) (.f64 2157218858562374472887084159837293/625000000000000000000000000000 (/.f64 1 (pow.f64 x 2)))) (.f64 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 3))))
(/.f64 -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 (pow.f64 x 2))
(-.f64 (/.f64 y (pow.f64 x 2)) (*.f64 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 y (pow.f64 x 2)) (*.f64 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 y (pow.f64 x 2)) (*.f64 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 2))))
(/.f64 y (pow.f64 x 2))
(-.f64 (/.f64 y (pow.f64 x 2)) (*.f64 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 y (pow.f64 x 2)) (*.f64 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 y (pow.f64 x 2)) (*.f64 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 2))))
(/.f64 y (pow.f64 x 2))
(-.f64 (/.f64 y (pow.f64 x 2)) (*.f64 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 y (pow.f64 x 2)) (*.f64 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 y (pow.f64 x 2)) (*.f64 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 2))))
(/.f64 (-.f64 y 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000) (pow.f64 x 2))
(/.f64 (-.f64 y 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000) (pow.f64 x 2))
(/.f64 (-.f64 y 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000) (pow.f64 x 2))
(/.f64 (-.f64 y 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000) (pow.f64 x 2))
(/.f64 (-.f64 y 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000) (pow.f64 x 2))
(/.f64 (-.f64 y 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000) (pow.f64 x 2))
(/.f64 (-.f64 y 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000) (pow.f64 x 2))
(/.f64 (-.f64 y 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000) (pow.f64 x 2))
(/.f64 (-.f64 y 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000) (pow.f64 x 2))
(/.f64 (-.f64 y 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000) (pow.f64 x 2))
(/.f64 (-.f64 y 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000) (pow.f64 x 2))
(/.f64 (-.f64 y 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000) (pow.f64 x 2))
(*.f64 -2 (/.f64 (-.f64 y 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000) (pow.f64 x 3)))
(-.f64 (+.f64 (.f64 -2 (/.f64 (-.f64 y 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000) (pow.f64 x 3))) (/.f64 y (pow.f64 x 2))) (.f64 107296773324458860383518174389124460809658643513344/819200000000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 -2 (/.f64 (-.f64 y 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000) (pow.f64 x 3))) (+.f64 (/.f64 y (pow.f64 x 2)) (.f64 2284450290879775841688574159837293/625000000000000000000000000000 (/.f64 1 x)))) (*.f64 107296773324458860383518174389124460809658643513344/819200000000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 -2 (/.f64 (-.f64 y 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000) (pow.f64 x 3))) (+.f64 (/.f64 y (pow.f64 x 2)) (.f64 2284450290879775841688574159837293/625000000000000000000000000000 (/.f64 1 x)))) (+.f64 13764240537310136880149/125000000000000000000 (*.f64 107296773324458860383518174389124460809658643513344/819200000000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 2)))))
(*.f64 104109730557/25000000000 x)
(-.f64 (*.f64 104109730557/25000000000 x) 13764240537310136880149/125000000000000000000)
(-.f64 (+.f64 (.f64 104109730557/25000000000 x) (.f64 2284450290879775841688574159837293/625000000000000000000000000000 (/.f64 1 x))) 13764240537310136880149/125000000000000000000)
(-.f64 (+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (.f64 104109730557/25000000000 x) (.f64 2284450290879775841688574159837293/625000000000000000000000000000 (/.f64 1 x)))) (+.f64 13764240537310136880149/125000000000000000000 (*.f64 107296773324458860383518174389124460809658643513344/819200000000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 2)))))
(*.f64 104109730557/25000000000 x)
(-.f64 (*.f64 104109730557/25000000000 x) 13764240537310136880149/125000000000000000000)
(-.f64 (+.f64 (.f64 104109730557/25000000000 x) (.f64 2284450290879775841688574159837293/625000000000000000000000000000 (/.f64 1 x))) 13764240537310136880149/125000000000000000000)
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 2157218858562374472887084159837293/312500000000000000000000000000 (.f64 -1 (-.f64 y 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000))) (pow.f64 x 2))) (+.f64 (.f64 104109730557/25000000000 x) (.f64 2284450290879775841688574159837293/625000000000000000000000000000 (/.f64 1 x)))) 13764240537310136880149/125000000000000000000)
(.f64 (-.f64 x 2) (-.f64 (+.f64 104109730557/25000000000 (.f64 2157218858562374472887084159837293/625000000000000000000000000000 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 3))) (.f64 12723143231740136880149/125000000000000000000 (/.f64 1 x)))))
(+.f64 (.f64 (-.f64 x 2) (-.f64 (+.f64 104109730557/25000000000 (.f64 2157218858562374472887084159837293/625000000000000000000000000000 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 3))) (.f64 12723143231740136880149/125000000000000000000 (/.f64 1 x))))) (.f64 y (-.f64 (/.f64 1 (pow.f64 x 2)) (.f64 2 (/.f64 1 (pow.f64 x 3))))))
(+.f64 (.f64 (-.f64 x 2) (-.f64 (+.f64 104109730557/25000000000 (.f64 2157218858562374472887084159837293/625000000000000000000000000000 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 3))) (.f64 12723143231740136880149/125000000000000000000 (/.f64 1 x))))) (.f64 y (-.f64 (/.f64 1 (pow.f64 x 2)) (.f64 2 (/.f64 1 (pow.f64 x 3))))))
(+.f64 (.f64 (-.f64 x 2) (-.f64 (+.f64 104109730557/25000000000 (.f64 2157218858562374472887084159837293/625000000000000000000000000000 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 3))) (.f64 12723143231740136880149/125000000000000000000 (/.f64 1 x))))) (.f64 y (-.f64 (/.f64 1 (pow.f64 x 2)) (.f64 2 (/.f64 1 (pow.f64 x 3))))))
(/.f64 (*.f64 y (-.f64 x 2)) (pow.f64 x 3))
(+.f64 (.f64 (-.f64 x 2) (-.f64 (+.f64 104109730557/25000000000 (.f64 2157218858562374472887084159837293/625000000000000000000000000000 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 3))) (.f64 12723143231740136880149/125000000000000000000 (/.f64 1 x))))) (/.f64 (*.f64 y (-.f64 x 2)) (pow.f64 x 3)))
(+.f64 (.f64 (-.f64 x 2) (-.f64 (+.f64 104109730557/25000000000 (.f64 2157218858562374472887084159837293/625000000000000000000000000000 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 3))) (.f64 12723143231740136880149/125000000000000000000 (/.f64 1 x))))) (/.f64 (*.f64 y (-.f64 x 2)) (pow.f64 x 3)))
(+.f64 (.f64 (-.f64 x 2) (-.f64 (+.f64 104109730557/25000000000 (.f64 2157218858562374472887084159837293/625000000000000000000000000000 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 3))) (.f64 12723143231740136880149/125000000000000000000 (/.f64 1 x))))) (/.f64 (*.f64 y (-.f64 x 2)) (pow.f64 x 3)))
(/.f64 (*.f64 y (-.f64 x 2)) (pow.f64 x 3))
(+.f64 (/.f64 (.f64 y (-.f64 x 2)) (pow.f64 x 3)) (.f64 (-.f64 x 2) (-.f64 (+.f64 104109730557/25000000000 (.f64 2157218858562374472887084159837293/625000000000000000000000000000 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 12723143231740136880149/125000000000000000000 (/.f64 1 x)) (*.f64 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 3)))))))
(+.f64 (/.f64 (.f64 y (-.f64 x 2)) (pow.f64 x 3)) (.f64 (-.f64 x 2) (-.f64 (+.f64 104109730557/25000000000 (.f64 2157218858562374472887084159837293/625000000000000000000000000000 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 12723143231740136880149/125000000000000000000 (/.f64 1 x)) (*.f64 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 3)))))))
(+.f64 (/.f64 (.f64 y (-.f64 x 2)) (pow.f64 x 3)) (.f64 (-.f64 x 2) (-.f64 (+.f64 104109730557/25000000000 (.f64 2157218858562374472887084159837293/625000000000000000000000000000 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 12723143231740136880149/125000000000000000000 (/.f64 1 x)) (*.f64 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 3)))))))

Outputs
(/.f64 (-.f64 y 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000) (pow.f64 x 3))
(/.f64 (+.f64 y -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000) (pow.f64 x 3))
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(+.f64 (.f64 (-.f64 x 2) (-.f64 (+.f64 104109730557/25000000000 (.f64 2157218858562374472887084159837293/625000000000000000000000000000 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 3))) (.f64 12723143231740136880149/125000000000000000000 (/.f64 1 x))))) (/.f64 (*.f64 y (-.f64 x 2)) (pow.f64 x 3)))
(fma.f64 (+.f64 x -2) (+.f64 104109730557/25000000000 (-.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (.f64 x x)) (+.f64 (/.f64 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 (pow.f64 x 3)) (/.f64 12723143231740136880149/125000000000000000000 x)))) (.f64 y (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 2 (pow.f64 x 3)))))
(fma.f64 y (+.f64 (/.f64 1 (.f64 x x)) (/.f64 -2 (pow.f64 x 3))) (.f64 (+.f64 x -2) (+.f64 104109730557/25000000000 (-.f64 (+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (*.f64 x x)) (/.f64 -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 (pow.f64 x 3))) (/.f64 12723143231740136880149/125000000000000000000 x)))))
(fma.f64 y (+.f64 (/.f64 1 (.f64 x x)) (/.f64 -2 (pow.f64 x 3))) (.f64 (+.f64 x -2) (+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (*.f64 x x)) (+.f64 (-.f64 104109730557/25000000000 (/.f64 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 (pow.f64 x 3))) (/.f64 -12723143231740136880149/125000000000000000000 x)))))
(.f64 (+.f64 x -2) (+.f64 (/.f64 (+.f64 y -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000) (pow.f64 x 3)) (+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (.f64 x x)) (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)))))
(/.f64 (*.f64 y (-.f64 x 2)) (pow.f64 x 3))
(/.f64 y (/.f64 (pow.f64 x 3) (+.f64 x -2)))
(*.f64 (/.f64 y (pow.f64 x 3)) (+.f64 x -2))
(*.f64 y (/.f64 (+.f64 x -2) (pow.f64 x 3)))
(+.f64 (/.f64 (.f64 y (-.f64 x 2)) (pow.f64 x 3)) (.f64 (-.f64 x 2) (-.f64 (+.f64 104109730557/25000000000 (.f64 2157218858562374472887084159837293/625000000000000000000000000000 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 12723143231740136880149/125000000000000000000 (/.f64 1 x)) (*.f64 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 3)))))))
(fma.f64 (+.f64 x -2) (+.f64 104109730557/25000000000 (-.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (.f64 x x)) (+.f64 (/.f64 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 (pow.f64 x 3)) (/.f64 12723143231740136880149/125000000000000000000 x)))) (.f64 y (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 2 (pow.f64 x 3)))))
(fma.f64 y (+.f64 (/.f64 1 (.f64 x x)) (/.f64 -2 (pow.f64 x 3))) (.f64 (+.f64 x -2) (+.f64 104109730557/25000000000 (-.f64 (+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (*.f64 x x)) (/.f64 -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 (pow.f64 x 3))) (/.f64 12723143231740136880149/125000000000000000000 x)))))
(fma.f64 y (+.f64 (/.f64 1 (.f64 x x)) (/.f64 -2 (pow.f64 x 3))) (.f64 (+.f64 x -2) (+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (*.f64 x x)) (+.f64 (-.f64 104109730557/25000000000 (/.f64 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 (pow.f64 x 3))) (/.f64 -12723143231740136880149/125000000000000000000 x)))))
(.f64 (+.f64 x -2) (+.f64 (/.f64 (+.f64 y -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000) (pow.f64 x 3)) (+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (.f64 x x)) (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)))))
(+.f64 (/.f64 (.f64 y (-.f64 x 2)) (pow.f64 x 3)) (.f64 (-.f64 x 2) (-.f64 (+.f64 104109730557/25000000000 (.f64 2157218858562374472887084159837293/625000000000000000000000000000 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 12723143231740136880149/125000000000000000000 (/.f64 1 x)) (*.f64 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 3)))))))
(fma.f64 (+.f64 x -2) (+.f64 104109730557/25000000000 (-.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (.f64 x x)) (+.f64 (/.f64 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 (pow.f64 x 3)) (/.f64 12723143231740136880149/125000000000000000000 x)))) (.f64 y (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 2 (pow.f64 x 3)))))
(fma.f64 y (+.f64 (/.f64 1 (.f64 x x)) (/.f64 -2 (pow.f64 x 3))) (.f64 (+.f64 x -2) (+.f64 104109730557/25000000000 (-.f64 (+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (*.f64 x x)) (/.f64 -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 (pow.f64 x 3))) (/.f64 12723143231740136880149/125000000000000000000 x)))))
(fma.f64 y (+.f64 (/.f64 1 (.f64 x x)) (/.f64 -2 (pow.f64 x 3))) (.f64 (+.f64 x -2) (+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (*.f64 x x)) (+.f64 (-.f64 104109730557/25000000000 (/.f64 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 (pow.f64 x 3))) (/.f64 -12723143231740136880149/125000000000000000000 x)))))
(.f64 (+.f64 x -2) (+.f64 (/.f64 (+.f64 y -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000) (pow.f64 x 3)) (+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (.f64 x x)) (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)))))
(+.f64 (/.f64 (.f64 y (-.f64 x 2)) (pow.f64 x 3)) (.f64 (-.f64 x 2) (-.f64 (+.f64 104109730557/25000000000 (.f64 2157218858562374472887084159837293/625000000000000000000000000000 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 12723143231740136880149/125000000000000000000 (/.f64 1 x)) (*.f64 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 3)))))))
(fma.f64 (+.f64 x -2) (+.f64 104109730557/25000000000 (-.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (.f64 x x)) (+.f64 (/.f64 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 (pow.f64 x 3)) (/.f64 12723143231740136880149/125000000000000000000 x)))) (.f64 y (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 2 (pow.f64 x 3)))))
(fma.f64 y (+.f64 (/.f64 1 (.f64 x x)) (/.f64 -2 (pow.f64 x 3))) (.f64 (+.f64 x -2) (+.f64 104109730557/25000000000 (-.f64 (+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (*.f64 x x)) (/.f64 -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 (pow.f64 x 3))) (/.f64 12723143231740136880149/125000000000000000000 x)))))
(fma.f64 y (+.f64 (/.f64 1 (.f64 x x)) (/.f64 -2 (pow.f64 x 3))) (.f64 (+.f64 x -2) (+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (*.f64 x x)) (+.f64 (-.f64 104109730557/25000000000 (/.f64 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 (pow.f64 x 3))) (/.f64 -12723143231740136880149/125000000000000000000 x)))))
(.f64 (+.f64 x -2) (+.f64 (/.f64 (+.f64 y -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000) (pow.f64 x 3)) (+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (.f64 x x)) (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)))))

localize44.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 (/.f64 12723143231740136880149/125000000000000000000 x) (+.f64 (/.f64 12723143231740136880149/125000000000000000000 x) 104109730557/25000000000) 10838835996651139530249/625000000000000000000)
✓	0.3b	(*.f64 (pow.f64 x -3) 2059601734647409189681626961129620613782216990037768112413421947949/1953125000000000000000000000000000000000000000000000000000000)
✓	0.3b	(.f64 (-.f64 1128428295162862690821234941118693/15625000000000000000000000000000 (.f64 (pow.f64 x -3) 2059601734647409189681626961129620613782216990037768112413421947949/1953125000000000000000000000000000000000000000000000000000000)) (+.f64 x -2))
✓	23.7b	(/.f64 (.f64 (-.f64 1128428295162862690821234941118693/15625000000000000000000000000000 (.f64 (pow.f64 x -3) 2059601734647409189681626961129620613782216990037768112413421947949/1953125000000000000000000000000000000000000000000000000000000)) (+.f64 x -2)) (fma.f64 (/.f64 12723143231740136880149/125000000000000000000 x) (+.f64 (/.f64 12723143231740136880149/125000000000000000000 x) 104109730557/25000000000) 10838835996651139530249/625000000000000000000))

Compiler

Compiled 80 to 65 computations (18.8% saved)

series9.0ms (0%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(/.f64 (.f64 (-.f64 1128428295162862690821234941118693/15625000000000000000000000000000 (.f64 (pow.f64 x -3) 2059601734647409189681626961129620613782216990037768112413421947949/1953125000000000000000000000000000000000000000000000000000000)) (+.f64 x -2)) (fma.f64 (/.f64 12723143231740136880149/125000000000000000000 x) (+.f64 (/.f64 12723143231740136880149/125000000000000000000 x) 104109730557/25000000000) 10838835996651139530249/625000000000000000000))
1.0ms	x	@	-inf	(/.f64 (.f64 (-.f64 1128428295162862690821234941118693/15625000000000000000000000000000 (.f64 (pow.f64 x -3) 2059601734647409189681626961129620613782216990037768112413421947949/1953125000000000000000000000000000000000000000000000000000000)) (+.f64 x -2)) (fma.f64 (/.f64 12723143231740136880149/125000000000000000000 x) (+.f64 (/.f64 12723143231740136880149/125000000000000000000 x) 104109730557/25000000000) 10838835996651139530249/625000000000000000000))
1.0ms	x	@	0	(/.f64 (.f64 (-.f64 1128428295162862690821234941118693/15625000000000000000000000000000 (.f64 (pow.f64 x -3) 2059601734647409189681626961129620613782216990037768112413421947949/1953125000000000000000000000000000000000000000000000000000000)) (+.f64 x -2)) (fma.f64 (/.f64 12723143231740136880149/125000000000000000000 x) (+.f64 (/.f64 12723143231740136880149/125000000000000000000 x) 104109730557/25000000000) 10838835996651139530249/625000000000000000000))
1.0ms	x	@	0	(*.f64 (pow.f64 x -3) 2059601734647409189681626961129620613782216990037768112413421947949/1953125000000000000000000000000000000000000000000000000000000)
0.0ms	x	@	inf	(*.f64 (pow.f64 x -3) 2059601734647409189681626961129620613782216990037768112413421947949/1953125000000000000000000000000000000000000000000000000000000)

rewrite241.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

478×	`prod-diff_binary64`
352×	`expm1-udef_binary64`
352×	`log1p-udef_binary64`
327×	`fma-def_binary64`
218×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	69
1	418	69
2	5571	65

Stop Event

1×	node limit

Counts

4 → 145

Calls

Call 1

Inputs
(/.f64 (.f64 (-.f64 1128428295162862690821234941118693/15625000000000000000000000000000 (.f64 (pow.f64 x -3) 2059601734647409189681626961129620613782216990037768112413421947949/1953125000000000000000000000000000000000000000000000000000000)) (+.f64 x -2)) (fma.f64 (/.f64 12723143231740136880149/125000000000000000000 x) (+.f64 (/.f64 12723143231740136880149/125000000000000000000 x) 104109730557/25000000000) 10838835996651139530249/625000000000000000000))
(.f64 (-.f64 1128428295162862690821234941118693/15625000000000000000000000000000 (.f64 (pow.f64 x -3) 2059601734647409189681626961129620613782216990037768112413421947949/1953125000000000000000000000000000000000000000000000000000000)) (+.f64 x -2))
(*.f64 (pow.f64 x -3) 2059601734647409189681626961129620613782216990037768112413421947949/1953125000000000000000000000000000000000000000000000000000000)
(fma.f64 (/.f64 12723143231740136880149/125000000000000000000 x) (+.f64 (/.f64 12723143231740136880149/125000000000000000000 x) 104109730557/25000000000) 10838835996651139530249/625000000000000000000)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 (pow.f64 x -3) -2059601734647409189681626961129620613782216990037768112413421947949/1953125000000000000000000000000000000000000000000000000000000 1128428295162862690821234941118693/15625000000000000000000000000000) (/.f64 (fma.f64 (/.f64 12723143231740136880149/125000000000000000000 x) (+.f64 (/.f64 12723143231740136880149/125000000000000000000 x) 104109730557/25000000000) 10838835996651139530249/625000000000000000000) (+.f64 x -2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1128428295162862690821234941118693/15625000000000000000000000000000 (/.f64 (fma.f64 (/.f64 12723143231740136880149/125000000000000000000 x) (+.f64 (/.f64 12723143231740136880149/125000000000000000000 x) 104109730557/25000000000) 10838835996651139530249/625000000000000000000) (+.f64 x -2))) (/.f64 (.f64 (pow.f64 x -3) 2059601734647409189681626961129620613782216990037768112413421947949/1953125000000000000000000000000000000000000000000000000000000) (/.f64 (fma.f64 (/.f64 12723143231740136880149/125000000000000000000 x) (+.f64 (/.f64 12723143231740136880149/125000000000000000000 x) 104109730557/25000000000) 10838835996651139530249/625000000000000000000) (+.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 (pow.f64 x -3) -2059601734647409189681626961129620613782216990037768112413421947949/1953125000000000000000000000000000000000000000000000000000000 1128428295162862690821234941118693/15625000000000000000000000000000) (/.f64 1 (/.f64 (fma.f64 (/.f64 12723143231740136880149/125000000000000000000 x) (+.f64 (/.f64 12723143231740136880149/125000000000000000000 x) 104109730557/25000000000) 10838835996651139530249/625000000000000000000) (+.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 (pow.f64 x -3) -2059601734647409189681626961129620613782216990037768112413421947949/1953125000000000000000000000000000000000000000000000000000000 1128428295162862690821234941118693/15625000000000000000000000000000) (.f64 (+.f64 x -2) (/.f64 1 (fma.f64 (/.f64 12723143231740136880149/125000000000000000000 x) (+.f64 (/.f64 12723143231740136880149/125000000000000000000 x) 104109730557/25000000000) 10838835996651139530249/625000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 x -2) (.f64 (fma.f64 (pow.f64 x -3) -2059601734647409189681626961129620613782216990037768112413421947949/1953125000000000000000000000000000000000000000000000000000000 1128428295162862690821234941118693/15625000000000000000000000000000) (/.f64 1 (fma.f64 (/.f64 12723143231740136880149/125000000000000000000 x) (+.f64 (/.f64 12723143231740136880149/125000000000000000000 x) 104109730557/25000000000) 10838835996651139530249/625000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (fma.f64 (pow.f64 x -3) -2059601734647409189681626961129620613782216990037768112413421947949/1953125000000000000000000000000000000000000000000000000000000 1128428295162862690821234941118693/15625000000000000000000000000000) (+.f64 x -2)) (/.f64 1 (fma.f64 (/.f64 12723143231740136880149/125000000000000000000 x) (+.f64 (/.f64 12723143231740136880149/125000000000000000000 x) 104109730557/25000000000) 10838835996651139530249/625000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (fma.f64 (pow.f64 x -3) -2059601734647409189681626961129620613782216990037768112413421947949/1953125000000000000000000000000000000000000000000000000000000 1128428295162862690821234941118693/15625000000000000000000000000000) (/.f64 (fma.f64 (/.f64 12723143231740136880149/125000000000000000000 x) (+.f64 (/.f64 12723143231740136880149/125000000000000000000 x) 104109730557/25000000000) 10838835996651139530249/625000000000000000000) (+.f64 x -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (fma.f64 (pow.f64 x -3) -2059601734647409189681626961129620613782216990037768112413421947949/1953125000000000000000000000000000000000000000000000000000000 1128428295162862690821234941118693/15625000000000000000000000000000) (/.f64 (fma.f64 (/.f64 12723143231740136880149/125000000000000000000 x) (+.f64 (/.f64 12723143231740136880149/125000000000000000000 x) 104109730557/25000000000) 10838835996651139530249/625000000000000000000) (+.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (fma.f64 (pow.f64 x -3) -2059601734647409189681626961129620613782216990037768112413421947949/1953125000000000000000000000000000000000000000000000000000000 1128428295162862690821234941118693/15625000000000000000000000000000) (/.f64 (fma.f64 (/.f64 12723143231740136880149/125000000000000000000 x) (+.f64 (/.f64 12723143231740136880149/125000000000000000000 x) 104109730557/25000000000) 10838835996651139530249/625000000000000000000) (+.f64 x -2)))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 (pow.f64 x -3) -2059601734647409189681626961129620613782216990037768112413421947949/1953125000000000000000000000000000000000000000000000000000000 1128428295162862690821234941118693/15625000000000000000000000000000) (/.f64 (fma.f64 (/.f64 12723143231740136880149/125000000000000000000 x) (+.f64 (/.f64 12723143231740136880149/125000000000000000000 x) 104109730557/25000000000) 10838835996651139530249/625000000000000000000) (+.f64 x -2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 (pow.f64 x -3) -2059601734647409189681626961129620613782216990037768112413421947949/1953125000000000000000000000000000000000000000000000000000000 1128428295162862690821234941118693/15625000000000000000000000000000) (/.f64 (fma.f64 (/.f64 12723143231740136880149/125000000000000000000 x) (+.f64 (/.f64 12723143231740136880149/125000000000000000000 x) 104109730557/25000000000) 10838835996651139530249/625000000000000000000) (+.f64 x -2)))) 2) (cbrt.f64 (/.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 10838835996651139530249/625000000000000000000 (+.f64 (/.f64 161878373695374854434910217844194695190262201/15625000000000000000000000000000000000000 (.f64 x x)) (/.f64 1324603013694583860834610992012993/3125000000000000000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 161878373695374854434910217844194695190262201/15625000000000000000000000000000000000000 (.f64 x x)) (/.f64 1324603013694583860834610992012993/3125000000000000000000000000000 x)) 10838835996651139530249/625000000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 (/.f64 161878373695374854434910217844194695190262201/15625000000000000000000000000000000000000 (.f64 x x)) (/.f64 1324603013694583860834610992012993/3125000000000000000000000000000 x)) 1) 10838835996651139530249/625000000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (/.f64 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12723143231740136880149/125000000000000000000 x) (+.f64 (/.f64 12723143231740136880149/125000000000000000000 x) 104109730557/25000000000) 10838835996651139530249/625000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 (/.f64 161878373695374854434910217844194695190262201/15625000000000000000000000000000000000000 (.f64 x x)) (/.f64 1324603013694583860834610992012993/3125000000000000000000000000000 x)) 3) 1273350417324164762071560844863517433176460731042563158718314028249/244140625000000000000000000000000000000000000000000000000000000) (fma.f64 (+.f64 (/.f64 161878373695374854434910217844194695190262201/15625000000000000000000000000000000000000 (.f64 x x)) (/.f64 1324603013694583860834610992012993/3125000000000000000000000000000 x)) (+.f64 (/.f64 161878373695374854434910217844194695190262201/15625000000000000000000000000000000000000 (.f64 x x)) (/.f64 1324603013694583860834610992012993/3125000000000000000000000000000 x)) (-.f64 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10838835996651139530249/625000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (/.f64 12723143231740136880149/125000000000000000000 x) (+.f64 (/.f64 12723143231740136880149/125000000000000000000 x) 104109730557/25000000000) 10838835996651139530249/625000000000000000000)) 1))))))

simplify99.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

985×	`fma-neg_binary64`
596×	`distribute-neg-frac_binary64`
536×	`unswap-sqr_binary64`
462×	`associate-/r*_binary64`
316×	`associate-/l/_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	56	468
1	148	468
2	274	468
3	522	468
4	1282	468
5	4493	460

Stop Event

1×	node limit

Counts

193 → 182

Calls

Call 1

Inputs
(/.f64 12723143231740136880149/62500000000000000000 x)
(-.f64 (*.f64 12723143231740136880149/62500000000000000000 (/.f64 1 x)) 230925636570408225427825885184/2097152000000000000000000000)
(-.f64 (+.f64 (.f64 12723143231740136880149/62500000000000000000 (/.f64 1 x)) (.f64 426433456361472/102400000000000 x)) 230925636570408225427825885184/2097152000000000000000000000)
(-.f64 (+.f64 (.f64 0/2097152 (pow.f64 x 2)) (+.f64 (.f64 12723143231740136880149/62500000000000000000 (/.f64 1 x)) (*.f64 426433456361472/102400000000000 x))) 230925636570408225427825885184/2097152000000000000000000000)
(*.f64 104109730557/25000000000 x)
(-.f64 (*.f64 104109730557/25000000000 x) 13764240537310136880149/125000000000000000000)
(-.f64 (+.f64 (.f64 55956975700631180360502708845674496/274877906944000000000000000000000 (/.f64 1 x)) (.f64 104109730557/25000000000 x)) 13764240537310136880149/125000000000000000000)
(-.f64 (+.f64 (.f64 55956975700631180360502708845674496/274877906944000000000000000000000 (/.f64 1 x)) (.f64 104109730557/25000000000 x)) (+.f64 13764240537310136880149/125000000000000000000 (*.f64 0/524288 (/.f64 1 (pow.f64 x 2)))))
(*.f64 104109730557/25000000000 x)
(-.f64 (*.f64 104109730557/25000000000 x) 13764240537310136880149/125000000000000000000)
(-.f64 (+.f64 (.f64 55956975700631180360502708845674496/274877906944000000000000000000000 (/.f64 1 x)) (.f64 104109730557/25000000000 x)) 13764240537310136880149/125000000000000000000)
(-.f64 (+.f64 (.f64 55956975700631180360502708845674496/274877906944000000000000000000000 (/.f64 1 x)) (.f64 104109730557/25000000000 x)) 13764240537310136880149/125000000000000000000)
(/.f64 2059601734647409189681626961129620613782216990037768112413421947949/976562500000000000000000000000000000000000000000000000000000 (pow.f64 x 3))
(-.f64 (.f64 2059601734647409189681626961129620613782216990037768112413421947949/976562500000000000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 3))) (.f64 2059601734647409189681626961129620613782216990037768112413421947949/1953125000000000000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 2))))
(-.f64 (.f64 2059601734647409189681626961129620613782216990037768112413421947949/976562500000000000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 3))) (+.f64 1128428295162862690821234941118693/7812500000000000000000000000000 (.f64 2059601734647409189681626961129620613782216990037768112413421947949/1953125000000000000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 1128428295162862690821234941118693/15625000000000000000000000000000 x) (.f64 2059601734647409189681626961129620613782216990037768112413421947949/976562500000000000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 3)))) (+.f64 1128428295162862690821234941118693/7812500000000000000000000000000 (*.f64 2059601734647409189681626961129620613782216990037768112413421947949/1953125000000000000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 2)))))
(*.f64 1128428295162862690821234941118693/15625000000000000000000000000000 x)
(-.f64 (*.f64 1128428295162862690821234941118693/15625000000000000000000000000000 x) 1128428295162862690821234941118693/7812500000000000000000000000000)
(-.f64 (.f64 1128428295162862690821234941118693/15625000000000000000000000000000 x) (+.f64 1128428295162862690821234941118693/7812500000000000000000000000000 (.f64 2059601734647409189681626961129620613782216990037768112413421947949/1953125000000000000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 2059601734647409189681626961129620613782216990037768112413421947949/976562500000000000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 3))) (.f64 1128428295162862690821234941118693/15625000000000000000000000000000 x)) (+.f64 1128428295162862690821234941118693/7812500000000000000000000000000 (*.f64 2059601734647409189681626961129620613782216990037768112413421947949/1953125000000000000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 2)))))
(*.f64 1128428295162862690821234941118693/15625000000000000000000000000000 x)
(-.f64 (*.f64 1128428295162862690821234941118693/15625000000000000000000000000000 x) 1128428295162862690821234941118693/7812500000000000000000000000000)
(-.f64 (.f64 1128428295162862690821234941118693/15625000000000000000000000000000 x) (+.f64 1128428295162862690821234941118693/7812500000000000000000000000000 (.f64 2059601734647409189681626961129620613782216990037768112413421947949/1953125000000000000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 2059601734647409189681626961129620613782216990037768112413421947949/976562500000000000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 3))) (.f64 1128428295162862690821234941118693/15625000000000000000000000000000 x)) (+.f64 1128428295162862690821234941118693/7812500000000000000000000000000 (*.f64 2059601734647409189681626961129620613782216990037768112413421947949/1953125000000000000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 2)))))
(/.f64 2059601734647409189681626961129620613782216990037768112413421947949/1953125000000000000000000000000000000000000000000000000000000 (pow.f64 x 3))
(/.f64 2059601734647409189681626961129620613782216990037768112413421947949/1953125000000000000000000000000000000000000000000000000000000 (pow.f64 x 3))
(/.f64 2059601734647409189681626961129620613782216990037768112413421947949/1953125000000000000000000000000000000000000000000000000000000 (pow.f64 x 3))
(/.f64 2059601734647409189681626961129620613782216990037768112413421947949/1953125000000000000000000000000000000000000000000000000000000 (pow.f64 x 3))
(/.f64 2059601734647409189681626961129620613782216990037768112413421947949/1953125000000000000000000000000000000000000000000000000000000 (pow.f64 x 3))
(/.f64 2059601734647409189681626961129620613782216990037768112413421947949/1953125000000000000000000000000000000000000000000000000000000 (pow.f64 x 3))
(/.f64 2059601734647409189681626961129620613782216990037768112413421947949/1953125000000000000000000000000000000000000000000000000000000 (pow.f64 x 3))
(/.f64 2059601734647409189681626961129620613782216990037768112413421947949/1953125000000000000000000000000000000000000000000000000000000 (pow.f64 x 3))
(/.f64 2059601734647409189681626961129620613782216990037768112413421947949/1953125000000000000000000000000000000000000000000000000000000 (pow.f64 x 3))
(/.f64 2059601734647409189681626961129620613782216990037768112413421947949/1953125000000000000000000000000000000000000000000000000000000 (pow.f64 x 3))
(/.f64 2059601734647409189681626961129620613782216990037768112413421947949/1953125000000000000000000000000000000000000000000000000000000 (pow.f64 x 3))
(/.f64 2059601734647409189681626961129620613782216990037768112413421947949/1953125000000000000000000000000000000000000000000000000000000 (pow.f64 x 3))
(/.f64 161878373695374854434910217844194695190262201/15625000000000000000000000000000000000000 (pow.f64 x 2))
(+.f64 (.f64 161878373695374854434910217844194695190262201/15625000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 2))) (.f64 1324603013694583860834610992012993/3125000000000000000000000000000 (/.f64 1 x)))
(+.f64 10838835996651139530249/625000000000000000000 (+.f64 (.f64 161878373695374854434910217844194695190262201/15625000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 2))) (.f64 1324603013694583860834610992012993/3125000000000000000000000000000 (/.f64 1 x))))
(+.f64 10838835996651139530249/625000000000000000000 (+.f64 (.f64 161878373695374854434910217844194695190262201/15625000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 2))) (.f64 1324603013694583860834610992012993/3125000000000000000000000000000 (/.f64 1 x))))
10838835996651139530249/625000000000000000000
(+.f64 10838835996651139530249/625000000000000000000 (*.f64 1324603013694583860834610992012993/3125000000000000000000000000000 (/.f64 1 x)))
(+.f64 10838835996651139530249/625000000000000000000 (+.f64 (.f64 1324603013694583860834610992012993/3125000000000000000000000000000 (/.f64 1 x)) (.f64 161878373695374854434910217844194695190262201/15625000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 2)))))
(+.f64 10838835996651139530249/625000000000000000000 (+.f64 (.f64 1324603013694583860834610992012993/3125000000000000000000000000000 (/.f64 1 x)) (.f64 161878373695374854434910217844194695190262201/15625000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 2)))))
10838835996651139530249/625000000000000000000
(+.f64 10838835996651139530249/625000000000000000000 (*.f64 1324603013694583860834610992012993/3125000000000000000000000000000 (/.f64 1 x)))
(+.f64 10838835996651139530249/625000000000000000000 (+.f64 (.f64 1324603013694583860834610992012993/3125000000000000000000000000000 (/.f64 1 x)) (.f64 161878373695374854434910217844194695190262201/15625000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 2)))))
(+.f64 10838835996651139530249/625000000000000000000 (+.f64 (.f64 1324603013694583860834610992012993/3125000000000000000000000000000 (/.f64 1 x)) (.f64 161878373695374854434910217844194695190262201/15625000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 2)))))

Outputs
(/.f64 12723143231740136880149/62500000000000000000 x)
(-.f64 (*.f64 12723143231740136880149/62500000000000000000 (/.f64 1 x)) 230925636570408225427825885184/2097152000000000000000000000)
(+.f64 (/.f64 12723143231740136880149/62500000000000000000 x) -13764240537310136880149/125000000000000000000)
(-.f64 (+.f64 (.f64 12723143231740136880149/62500000000000000000 (/.f64 1 x)) (.f64 426433456361472/102400000000000 x)) 230925636570408225427825885184/2097152000000000000000000000)
(+.f64 (/.f64 12723143231740136880149/62500000000000000000 x) (fma.f64 104109730557/25000000000 x -13764240537310136880149/125000000000000000000))
(+.f64 (/.f64 12723143231740136880149/62500000000000000000 x) (fma.f64 x 104109730557/25000000000 -13764240537310136880149/125000000000000000000))
(+.f64 (fma.f64 x 104109730557/25000000000 (/.f64 12723143231740136880149/62500000000000000000 x)) -13764240537310136880149/125000000000000000000)
(-.f64 (+.f64 (.f64 0/2097152 (pow.f64 x 2)) (+.f64 (.f64 12723143231740136880149/62500000000000000000 (/.f64 1 x)) (*.f64 426433456361472/102400000000000 x))) 230925636570408225427825885184/2097152000000000000000000000)
(+.f64 (/.f64 12723143231740136880149/62500000000000000000 x) (fma.f64 104109730557/25000000000 x -13764240537310136880149/125000000000000000000))
(+.f64 (/.f64 12723143231740136880149/62500000000000000000 x) (fma.f64 x 104109730557/25000000000 -13764240537310136880149/125000000000000000000))
(+.f64 (fma.f64 x 104109730557/25000000000 (/.f64 12723143231740136880149/62500000000000000000 x)) -13764240537310136880149/125000000000000000000)
(*.f64 104109730557/25000000000 x)
(*.f64 x 104109730557/25000000000)
(-.f64 (*.f64 104109730557/25000000000 x) 13764240537310136880149/125000000000000000000)
(fma.f64 104109730557/25000000000 x -13764240537310136880149/125000000000000000000)
(fma.f64 x 104109730557/25000000000 -13764240537310136880149/125000000000000000000)
(-.f64 (+.f64 (.f64 55956975700631180360502708845674496/274877906944000000000000000000000 (/.f64 1 x)) (.f64 104109730557/25000000000 x)) 13764240537310136880149/125000000000000000000)
(+.f64 (/.f64 12723143231740136880149/62500000000000000000 x) (fma.f64 104109730557/25000000000 x -13764240537310136880149/125000000000000000000))
(+.f64 (/.f64 12723143231740136880149/62500000000000000000 x) (fma.f64 x 104109730557/25000000000 -13764240537310136880149/125000000000000000000))
(+.f64 (fma.f64 x 104109730557/25000000000 (/.f64 12723143231740136880149/62500000000000000000 x)) -13764240537310136880149/125000000000000000000)
(-.f64 (+.f64 (.f64 55956975700631180360502708845674496/274877906944000000000000000000000 (/.f64 1 x)) (.f64 104109730557/25000000000 x)) (+.f64 13764240537310136880149/125000000000000000000 (*.f64 0/524288 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 12723143231740136880149/62500000000000000000 x) (fma.f64 104109730557/25000000000 x -13764240537310136880149/125000000000000000000))
(+.f64 (/.f64 12723143231740136880149/62500000000000000000 x) (fma.f64 x 104109730557/25000000000 -13764240537310136880149/125000000000000000000))
(+.f64 (fma.f64 x 104109730557/25000000000 (/.f64 12723143231740136880149/62500000000000000000 x)) -13764240537310136880149/125000000000000000000)
(*.f64 104109730557/25000000000 x)
(*.f64 x 104109730557/25000000000)
(-.f64 (*.f64 104109730557/25000000000 x) 13764240537310136880149/125000000000000000000)
(fma.f64 104109730557/25000000000 x -13764240537310136880149/125000000000000000000)
(fma.f64 x 104109730557/25000000000 -13764240537310136880149/125000000000000000000)
(-.f64 (+.f64 (.f64 55956975700631180360502708845674496/274877906944000000000000000000000 (/.f64 1 x)) (.f64 104109730557/25000000000 x)) 13764240537310136880149/125000000000000000000)
(+.f64 (/.f64 12723143231740136880149/62500000000000000000 x) (fma.f64 104109730557/25000000000 x -13764240537310136880149/125000000000000000000))
(+.f64 (/.f64 12723143231740136880149/62500000000000000000 x) (fma.f64 x 104109730557/25000000000 -13764240537310136880149/125000000000000000000))
(+.f64 (fma.f64 x 104109730557/25000000000 (/.f64 12723143231740136880149/62500000000000000000 x)) -13764240537310136880149/125000000000000000000)
(-.f64 (+.f64 (.f64 55956975700631180360502708845674496/274877906944000000000000000000000 (/.f64 1 x)) (.f64 104109730557/25000000000 x)) 13764240537310136880149/125000000000000000000)
(+.f64 (/.f64 12723143231740136880149/62500000000000000000 x) (fma.f64 104109730557/25000000000 x -13764240537310136880149/125000000000000000000))
(+.f64 (/.f64 12723143231740136880149/62500000000000000000 x) (fma.f64 x 104109730557/25000000000 -13764240537310136880149/125000000000000000000))
(+.f64 (fma.f64 x 104109730557/25000000000 (/.f64 12723143231740136880149/62500000000000000000 x)) -13764240537310136880149/125000000000000000000)
(/.f64 2059601734647409189681626961129620613782216990037768112413421947949/976562500000000000000000000000000000000000000000000000000000 (pow.f64 x 3))
(-.f64 (.f64 2059601734647409189681626961129620613782216990037768112413421947949/976562500000000000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 3))) (.f64 2059601734647409189681626961129620613782216990037768112413421947949/1953125000000000000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 2059601734647409189681626961129620613782216990037768112413421947949/976562500000000000000000000000000000000000000000000000000000 (pow.f64 x 3)) (/.f64 2059601734647409189681626961129620613782216990037768112413421947949/1953125000000000000000000000000000000000000000000000000000000 (*.f64 x x)))
(+.f64 (/.f64 2059601734647409189681626961129620613782216990037768112413421947949/976562500000000000000000000000000000000000000000000000000000 (pow.f64 x 3)) (/.f64 -2059601734647409189681626961129620613782216990037768112413421947949/1953125000000000000000000000000000000000000000000000000000000 (*.f64 x x)))
(-.f64 (/.f64 -2059601734647409189681626961129620613782216990037768112413421947949/1953125000000000000000000000000000000000000000000000000000000 (*.f64 x x)) (/.f64 -2059601734647409189681626961129620613782216990037768112413421947949/976562500000000000000000000000000000000000000000000000000000 (pow.f64 x 3)))
(-.f64 (.f64 2059601734647409189681626961129620613782216990037768112413421947949/976562500000000000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 3))) (+.f64 1128428295162862690821234941118693/7812500000000000000000000000000 (.f64 2059601734647409189681626961129620613782216990037768112413421947949/1953125000000000000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (/.f64 2059601734647409189681626961129620613782216990037768112413421947949/976562500000000000000000000000000000000000000000000000000000 (pow.f64 x 3)) (+.f64 (/.f64 2059601734647409189681626961129620613782216990037768112413421947949/1953125000000000000000000000000000000000000000000000000000000 (*.f64 x x)) 1128428295162862690821234941118693/7812500000000000000000000000000))
(+.f64 (/.f64 2059601734647409189681626961129620613782216990037768112413421947949/976562500000000000000000000000000000000000000000000000000000 (pow.f64 x 3)) (+.f64 (/.f64 -2059601734647409189681626961129620613782216990037768112413421947949/1953125000000000000000000000000000000000000000000000000000000 (*.f64 x x)) -1128428295162862690821234941118693/7812500000000000000000000000000))
(-.f64 -1128428295162862690821234941118693/7812500000000000000000000000000 (+.f64 (/.f64 (/.f64 2059601734647409189681626961129620613782216990037768112413421947949/1953125000000000000000000000000000000000000000000000000000000 x) x) (/.f64 -2059601734647409189681626961129620613782216990037768112413421947949/976562500000000000000000000000000000000000000000000000000000 (pow.f64 x 3))))
(fma.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 2059601734647409189681626961129620613782216990037768112413421947949/976562500000000000000000000000000000000000000000000000000000 x) -2059601734647409189681626961129620613782216990037768112413421947949/1953125000000000000000000000000000000000000000000000000000000) -1128428295162862690821234941118693/7812500000000000000000000000000)
(-.f64 (+.f64 (.f64 1128428295162862690821234941118693/15625000000000000000000000000000 x) (.f64 2059601734647409189681626961129620613782216990037768112413421947949/976562500000000000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 3)))) (+.f64 1128428295162862690821234941118693/7812500000000000000000000000000 (*.f64 2059601734647409189681626961129620613782216990037768112413421947949/1953125000000000000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 2059601734647409189681626961129620613782216990037768112413421947949/976562500000000000000000000000000000000000000000000000000000 (pow.f64 x 3)) (-.f64 (fma.f64 1128428295162862690821234941118693/15625000000000000000000000000000 x -1128428295162862690821234941118693/7812500000000000000000000000000) (/.f64 2059601734647409189681626961129620613782216990037768112413421947949/1953125000000000000000000000000000000000000000000000000000000 (*.f64 x x))))
(+.f64 (/.f64 2059601734647409189681626961129620613782216990037768112413421947949/976562500000000000000000000000000000000000000000000000000000 (pow.f64 x 3)) (+.f64 (fma.f64 x 1128428295162862690821234941118693/15625000000000000000000000000000 -1128428295162862690821234941118693/7812500000000000000000000000000) (/.f64 -2059601734647409189681626961129620613782216990037768112413421947949/1953125000000000000000000000000000000000000000000000000000000 (*.f64 x x))))
(fma.f64 x 1128428295162862690821234941118693/15625000000000000000000000000000 (fma.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 2059601734647409189681626961129620613782216990037768112413421947949/976562500000000000000000000000000000000000000000000000000000 x) -2059601734647409189681626961129620613782216990037768112413421947949/1953125000000000000000000000000000000000000000000000000000000) -1128428295162862690821234941118693/7812500000000000000000000000000))
(*.f64 1128428295162862690821234941118693/15625000000000000000000000000000 x)
(*.f64 x 1128428295162862690821234941118693/15625000000000000000000000000000)
(-.f64 (*.f64 1128428295162862690821234941118693/15625000000000000000000000000000 x) 1128428295162862690821234941118693/7812500000000000000000000000000)
(fma.f64 1128428295162862690821234941118693/15625000000000000000000000000000 x -1128428295162862690821234941118693/7812500000000000000000000000000)
(fma.f64 x 1128428295162862690821234941118693/15625000000000000000000000000000 -1128428295162862690821234941118693/7812500000000000000000000000000)
(-.f64 (.f64 1128428295162862690821234941118693/15625000000000000000000000000000 x) (+.f64 1128428295162862690821234941118693/7812500000000000000000000000000 (.f64 2059601734647409189681626961129620613782216990037768112413421947949/1953125000000000000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (fma.f64 1128428295162862690821234941118693/15625000000000000000000000000000 x -1128428295162862690821234941118693/7812500000000000000000000000000) (/.f64 2059601734647409189681626961129620613782216990037768112413421947949/1953125000000000000000000000000000000000000000000000000000000 (*.f64 x x)))
(+.f64 (fma.f64 x 1128428295162862690821234941118693/15625000000000000000000000000000 -1128428295162862690821234941118693/7812500000000000000000000000000) (/.f64 -2059601734647409189681626961129620613782216990037768112413421947949/1953125000000000000000000000000000000000000000000000000000000 (*.f64 x x)))
(+.f64 (/.f64 -2059601734647409189681626961129620613782216990037768112413421947949/1953125000000000000000000000000000000000000000000000000000000 (*.f64 x x)) (fma.f64 x 1128428295162862690821234941118693/15625000000000000000000000000000 -1128428295162862690821234941118693/7812500000000000000000000000000))
(-.f64 (+.f64 (.f64 2059601734647409189681626961129620613782216990037768112413421947949/976562500000000000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 3))) (.f64 1128428295162862690821234941118693/15625000000000000000000000000000 x)) (+.f64 1128428295162862690821234941118693/7812500000000000000000000000000 (*.f64 2059601734647409189681626961129620613782216990037768112413421947949/1953125000000000000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 2059601734647409189681626961129620613782216990037768112413421947949/976562500000000000000000000000000000000000000000000000000000 (pow.f64 x 3)) (-.f64 (fma.f64 1128428295162862690821234941118693/15625000000000000000000000000000 x -1128428295162862690821234941118693/7812500000000000000000000000000) (/.f64 2059601734647409189681626961129620613782216990037768112413421947949/1953125000000000000000000000000000000000000000000000000000000 (*.f64 x x))))
(+.f64 (/.f64 2059601734647409189681626961129620613782216990037768112413421947949/976562500000000000000000000000000000000000000000000000000000 (pow.f64 x 3)) (+.f64 (fma.f64 x 1128428295162862690821234941118693/15625000000000000000000000000000 -1128428295162862690821234941118693/7812500000000000000000000000000) (/.f64 -2059601734647409189681626961129620613782216990037768112413421947949/1953125000000000000000000000000000000000000000000000000000000 (*.f64 x x))))
(fma.f64 x 1128428295162862690821234941118693/15625000000000000000000000000000 (fma.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 2059601734647409189681626961129620613782216990037768112413421947949/976562500000000000000000000000000000000000000000000000000000 x) -2059601734647409189681626961129620613782216990037768112413421947949/1953125000000000000000000000000000000000000000000000000000000) -1128428295162862690821234941118693/7812500000000000000000000000000))
(*.f64 1128428295162862690821234941118693/15625000000000000000000000000000 x)
(*.f64 x 1128428295162862690821234941118693/15625000000000000000000000000000)
(-.f64 (*.f64 1128428295162862690821234941118693/15625000000000000000000000000000 x) 1128428295162862690821234941118693/7812500000000000000000000000000)
(fma.f64 1128428295162862690821234941118693/15625000000000000000000000000000 x -1128428295162862690821234941118693/7812500000000000000000000000000)
(fma.f64 x 1128428295162862690821234941118693/15625000000000000000000000000000 -1128428295162862690821234941118693/7812500000000000000000000000000)
(-.f64 (.f64 1128428295162862690821234941118693/15625000000000000000000000000000 x) (+.f64 1128428295162862690821234941118693/7812500000000000000000000000000 (.f64 2059601734647409189681626961129620613782216990037768112413421947949/1953125000000000000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (fma.f64 1128428295162862690821234941118693/15625000000000000000000000000000 x -1128428295162862690821234941118693/7812500000000000000000000000000) (/.f64 2059601734647409189681626961129620613782216990037768112413421947949/1953125000000000000000000000000000000000000000000000000000000 (*.f64 x x)))
(+.f64 (fma.f64 x 1128428295162862690821234941118693/15625000000000000000000000000000 -1128428295162862690821234941118693/7812500000000000000000000000000) (/.f64 -2059601734647409189681626961129620613782216990037768112413421947949/1953125000000000000000000000000000000000000000000000000000000 (*.f64 x x)))
(+.f64 (/.f64 -2059601734647409189681626961129620613782216990037768112413421947949/1953125000000000000000000000000000000000000000000000000000000 (*.f64 x x)) (fma.f64 x 1128428295162862690821234941118693/15625000000000000000000000000000 -1128428295162862690821234941118693/7812500000000000000000000000000))
(-.f64 (+.f64 (.f64 2059601734647409189681626961129620613782216990037768112413421947949/976562500000000000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 3))) (.f64 1128428295162862690821234941118693/15625000000000000000000000000000 x)) (+.f64 1128428295162862690821234941118693/7812500000000000000000000000000 (*.f64 2059601734647409189681626961129620613782216990037768112413421947949/1953125000000000000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 2059601734647409189681626961129620613782216990037768112413421947949/976562500000000000000000000000000000000000000000000000000000 (pow.f64 x 3)) (-.f64 (fma.f64 1128428295162862690821234941118693/15625000000000000000000000000000 x -1128428295162862690821234941118693/7812500000000000000000000000000) (/.f64 2059601734647409189681626961129620613782216990037768112413421947949/1953125000000000000000000000000000000000000000000000000000000 (*.f64 x x))))
(+.f64 (/.f64 2059601734647409189681626961129620613782216990037768112413421947949/976562500000000000000000000000000000000000000000000000000000 (pow.f64 x 3)) (+.f64 (fma.f64 x 1128428295162862690821234941118693/15625000000000000000000000000000 -1128428295162862690821234941118693/7812500000000000000000000000000) (/.f64 -2059601734647409189681626961129620613782216990037768112413421947949/1953125000000000000000000000000000000000000000000000000000000 (*.f64 x x))))
(fma.f64 x 1128428295162862690821234941118693/15625000000000000000000000000000 (fma.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 2059601734647409189681626961129620613782216990037768112413421947949/976562500000000000000000000000000000000000000000000000000000 x) -2059601734647409189681626961129620613782216990037768112413421947949/1953125000000000000000000000000000000000000000000000000000000) -1128428295162862690821234941118693/7812500000000000000000000000000))
(/.f64 2059601734647409189681626961129620613782216990037768112413421947949/1953125000000000000000000000000000000000000000000000000000000 (pow.f64 x 3))
(/.f64 2059601734647409189681626961129620613782216990037768112413421947949/1953125000000000000000000000000000000000000000000000000000000 (pow.f64 x 3))
(/.f64 2059601734647409189681626961129620613782216990037768112413421947949/1953125000000000000000000000000000000000000000000000000000000 (pow.f64 x 3))
(/.f64 2059601734647409189681626961129620613782216990037768112413421947949/1953125000000000000000000000000000000000000000000000000000000 (pow.f64 x 3))
(/.f64 2059601734647409189681626961129620613782216990037768112413421947949/1953125000000000000000000000000000000000000000000000000000000 (pow.f64 x 3))
(/.f64 2059601734647409189681626961129620613782216990037768112413421947949/1953125000000000000000000000000000000000000000000000000000000 (pow.f64 x 3))
(/.f64 2059601734647409189681626961129620613782216990037768112413421947949/1953125000000000000000000000000000000000000000000000000000000 (pow.f64 x 3))
(/.f64 2059601734647409189681626961129620613782216990037768112413421947949/1953125000000000000000000000000000000000000000000000000000000 (pow.f64 x 3))
(/.f64 2059601734647409189681626961129620613782216990037768112413421947949/1953125000000000000000000000000000000000000000000000000000000 (pow.f64 x 3))
(/.f64 2059601734647409189681626961129620613782216990037768112413421947949/1953125000000000000000000000000000000000000000000000000000000 (pow.f64 x 3))
(/.f64 2059601734647409189681626961129620613782216990037768112413421947949/1953125000000000000000000000000000000000000000000000000000000 (pow.f64 x 3))
(/.f64 2059601734647409189681626961129620613782216990037768112413421947949/1953125000000000000000000000000000000000000000000000000000000 (pow.f64 x 3))
(/.f64 161878373695374854434910217844194695190262201/15625000000000000000000000000000000000000 (pow.f64 x 2))
(/.f64 161878373695374854434910217844194695190262201/15625000000000000000000000000000000000000 (*.f64 x x))
(+.f64 (.f64 161878373695374854434910217844194695190262201/15625000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 2))) (.f64 1324603013694583860834610992012993/3125000000000000000000000000000 (/.f64 1 x)))
(+.f64 (/.f64 161878373695374854434910217844194695190262201/15625000000000000000000000000000000000000 (*.f64 x x)) (/.f64 1324603013694583860834610992012993/3125000000000000000000000000000 x))
(+.f64 10838835996651139530249/625000000000000000000 (+.f64 (.f64 161878373695374854434910217844194695190262201/15625000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 2))) (.f64 1324603013694583860834610992012993/3125000000000000000000000000000 (/.f64 1 x))))
(+.f64 10838835996651139530249/625000000000000000000 (+.f64 (/.f64 161878373695374854434910217844194695190262201/15625000000000000000000000000000000000000 (*.f64 x x)) (/.f64 1324603013694583860834610992012993/3125000000000000000000000000000 x)))
(+.f64 (/.f64 161878373695374854434910217844194695190262201/15625000000000000000000000000000000000000 (*.f64 x x)) (+.f64 (/.f64 1324603013694583860834610992012993/3125000000000000000000000000000 x) 10838835996651139530249/625000000000000000000))
(+.f64 10838835996651139530249/625000000000000000000 (+.f64 (.f64 161878373695374854434910217844194695190262201/15625000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 2))) (.f64 1324603013694583860834610992012993/3125000000000000000000000000000 (/.f64 1 x))))
(+.f64 10838835996651139530249/625000000000000000000 (+.f64 (/.f64 161878373695374854434910217844194695190262201/15625000000000000000000000000000000000000 (*.f64 x x)) (/.f64 1324603013694583860834610992012993/3125000000000000000000000000000 x)))
(+.f64 (/.f64 161878373695374854434910217844194695190262201/15625000000000000000000000000000000000000 (*.f64 x x)) (+.f64 (/.f64 1324603013694583860834610992012993/3125000000000000000000000000000 x) 10838835996651139530249/625000000000000000000))
10838835996651139530249/625000000000000000000
(+.f64 10838835996651139530249/625000000000000000000 (*.f64 1324603013694583860834610992012993/3125000000000000000000000000000 (/.f64 1 x)))
(+.f64 (/.f64 1324603013694583860834610992012993/3125000000000000000000000000000 x) 10838835996651139530249/625000000000000000000)
(+.f64 10838835996651139530249/625000000000000000000 (+.f64 (.f64 1324603013694583860834610992012993/3125000000000000000000000000000 (/.f64 1 x)) (.f64 161878373695374854434910217844194695190262201/15625000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 2)))))
(+.f64 10838835996651139530249/625000000000000000000 (+.f64 (/.f64 161878373695374854434910217844194695190262201/15625000000000000000000000000000000000000 (*.f64 x x)) (/.f64 1324603013694583860834610992012993/3125000000000000000000000000000 x)))
(+.f64 (/.f64 161878373695374854434910217844194695190262201/15625000000000000000000000000000000000000 (*.f64 x x)) (+.f64 (/.f64 1324603013694583860834610992012993/3125000000000000000000000000000 x) 10838835996651139530249/625000000000000000000))
(+.f64 10838835996651139530249/625000000000000000000 (+.f64 (.f64 1324603013694583860834610992012993/3125000000000000000000000000000 (/.f64 1 x)) (.f64 161878373695374854434910217844194695190262201/15625000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 2)))))
(+.f64 10838835996651139530249/625000000000000000000 (+.f64 (/.f64 161878373695374854434910217844194695190262201/15625000000000000000000000000000000000000 (*.f64 x x)) (/.f64 1324603013694583860834610992012993/3125000000000000000000000000000 x)))
(+.f64 (/.f64 161878373695374854434910217844194695190262201/15625000000000000000000000000000000000000 (*.f64 x x)) (+.f64 (/.f64 1324603013694583860834610992012993/3125000000000000000000000000000 x) 10838835996651139530249/625000000000000000000))
10838835996651139530249/625000000000000000000
(+.f64 10838835996651139530249/625000000000000000000 (*.f64 1324603013694583860834610992012993/3125000000000000000000000000000 (/.f64 1 x)))
(+.f64 (/.f64 1324603013694583860834610992012993/3125000000000000000000000000000 x) 10838835996651139530249/625000000000000000000)
(+.f64 10838835996651139530249/625000000000000000000 (+.f64 (.f64 1324603013694583860834610992012993/3125000000000000000000000000000 (/.f64 1 x)) (.f64 161878373695374854434910217844194695190262201/15625000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 2)))))
(+.f64 10838835996651139530249/625000000000000000000 (+.f64 (/.f64 161878373695374854434910217844194695190262201/15625000000000000000000000000000000000000 (*.f64 x x)) (/.f64 1324603013694583860834610992012993/3125000000000000000000000000000 x)))
(+.f64 (/.f64 161878373695374854434910217844194695190262201/15625000000000000000000000000000000000000 (*.f64 x x)) (+.f64 (/.f64 1324603013694583860834610992012993/3125000000000000000000000000000 x) 10838835996651139530249/625000000000000000000))
(+.f64 10838835996651139530249/625000000000000000000 (+.f64 (.f64 1324603013694583860834610992012993/3125000000000000000000000000000 (/.f64 1 x)) (.f64 161878373695374854434910217844194695190262201/15625000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 2)))))
(+.f64 10838835996651139530249/625000000000000000000 (+.f64 (/.f64 161878373695374854434910217844194695190262201/15625000000000000000000000000000000000000 (*.f64 x x)) (/.f64 1324603013694583860834610992012993/3125000000000000000000000000000 x)))
(+.f64 (/.f64 161878373695374854434910217844194695190262201/15625000000000000000000000000000000000000 (*.f64 x x)) (+.f64 (/.f64 1324603013694583860834610992012993/3125000000000000000000000000000 x) 10838835996651139530249/625000000000000000000))

eval914.0ms (2.9%)

Compiler: Compiled 18912 to 14108 computations (25.4% saved)

prune668.0ms (2.1%)

Pruning

46 alts after pruning (43 fresh and 3 done)

	Pruned	Kept	Total
New	678	21	699
Fresh	13	22	35
Picked	1	0	1
Done	2	3	5
Total	694	46	740

Error

Counts

740 → 46

Alt Table

Click to see full alt table

Status	Error	Program
	62.1b	(+.f64 (/.f64 12723143231740136880149/62500000000000000000 x) -13764240537310136880149/125000000000000000000)
	31.4b	(*.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z) 1) -1000000000/23533438303)
	49.3b	(.f64 (+.f64 x -2) (+.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (/.f64 (+.f64 (.f64 (/.f64 (+.f64 y -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000) (.f64 x x)) (.f64 x (neg.f64 x))) (.f64 x -2157218858562374472887084159837293/625000000000000000000000000000)) (.f64 x (*.f64 x (neg.f64 x))))))
▶	35.2b	(-.f64 (+.f64 (.f64 104109730557/25000000000 x) (.f64 2284450290879775841688574159837293/625000000000000000000000000000 (/.f64 1 x))) 13764240537310136880149/125000000000000000000)
	33.4b	(.f64 (+.f64 x -2) (+.f64 (.f64 500000000/23533438303 z) (.f64 (-.f64 (.f64 500000000/23533438303 y) (*.f64 78349803973500000000/553822718361107519809 z)) x)))
✓	41.5b	(/.f64 (.f64 z (-.f64 x 2)) (+.f64 (.f64 x 156699607947/500000000) 23533438303/500000000))
	50.9b	(/.f64 (*.f64 (fma.f64 x x -4) (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x))) (+.f64 x 2))
	51.7b	(/.f64 (.f64 (fma.f64 x x -4) (-.f64 1128428295162862690821234941118693/15625000000000000000000000000000 (.f64 (pow.f64 x -3) 2059601734647409189681626961129620613782216990037768112413421947949/1953125000000000000000000000000000000000000000000000000000000))) (*.f64 (+.f64 x 2) (fma.f64 (/.f64 12723143231740136880149/125000000000000000000 x) (+.f64 (/.f64 12723143231740136880149/125000000000000000000 x) 104109730557/25000000000) 10838835996651139530249/625000000000000000000)))
	36.8b	(/.f64 (/.f64 (.f64 (-.f64 1273350417324164762071560844863517433176460731042563158718314028249/244140625000000000000000000000000000000000000000000000000000000 (.f64 4241959305362616935770766253051655267491536547123751839045382672835405927686343173973861249041050479238479784057709711621945665306601/3814697265625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x -6))) (+.f64 x -2)) (fma.f64 (pow.f64 x -3) 2059601734647409189681626961129620613782216990037768112413421947949/1953125000000000000000000000000000000000000000000000000000000 1128428295162862690821234941118693/15625000000000000000000000000000)) (fma.f64 (/.f64 12723143231740136880149/125000000000000000000 x) (+.f64 (/.f64 12723143231740136880149/125000000000000000000 x) 104109730557/25000000000) 10838835996651139530249/625000000000000000000))
	35.8b	(*.f64 (/.f64 (fma.f64 (pow.f64 x -3) -2059601734647409189681626961129620613782216990037768112413421947949/1953125000000000000000000000000000000000000000000000000000000 1128428295162862690821234941118693/15625000000000000000000000000000) (/.f64 (fma.f64 (/.f64 12723143231740136880149/125000000000000000000 x) (+.f64 (/.f64 12723143231740136880149/125000000000000000000 x) 104109730557/25000000000) 10838835996651139530249/625000000000000000000) (+.f64 x -2))) 1)
▶	52.6b	(/.f64 (.f64 y (.f64 (-.f64 x 2) x)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000))
	41.5b	(/.f64 (.f64 z (-.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 x 216700011257/5000000000) (.f64 x x))) x) 23533438303/500000000))
	41.3b	(.f64 z (+.f64 -1000000000/23533438303 (.f64 x 168466327098500000000/553822718361107519809)))
	60.8b	(+.f64 (/.f64 4297481763/31250000 x) (/.f64 (+.f64 y -974239164048852206091/156250000000000000) (*.f64 x x)))
	34.9b	(-.f64 (*.f64 104109730557/25000000000 x) 13764240537310136880149/125000000000000000000)
▶	37.4b	(/.f64 (.f64 (+.f64 (.f64 (+.f64 4297481763/31250000 (.f64 (+.f64 393497462077/5000000000 (.f64 104109730557/25000000000 x)) x)) (pow.f64 x 2)) z) (-.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000))
	40.9b	(.f64 (+.f64 x -2) (/.f64 z (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)))
	35.6b	(.f64 (+.f64 x -2) (+.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (.f64 x x))))
	35.8b	(.f64 (+.f64 x -2) (+.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (.f64 x x)) (*.f64 (/.f64 1 x) (/.f64 (/.f64 -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 x) x)))))
	35.9b	(*.f64 (fma.f64 (pow.f64 x -3) -2059601734647409189681626961129620613782216990037768112413421947949/1953125000000000000000000000000000000000000000000000000000000 1128428295162862690821234941118693/15625000000000000000000000000000) (/.f64 1 (/.f64 (fma.f64 (/.f64 12723143231740136880149/125000000000000000000 x) (+.f64 (/.f64 12723143231740136880149/125000000000000000000 x) 104109730557/25000000000) 10838835996651139530249/625000000000000000000) (+.f64 x -2))))
	35.2b	(*.f64 (+.f64 x -2) (-.f64 104109730557/25000000000 (/.f64 12723143231740136880149/125000000000000000000 x)))
	62.6b	(+.f64 (.f64 z 500000000/156699607947) (.f64 (/.f64 z x) (+.f64 -168466327098500000000/24554767130743505554809 (/.f64 3964591914905566753845500000000/3847722382617389411054987020467123 x))))
	34.0b	(.f64 (+.f64 x -2) (+.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (.f64 x x)) (.f64 (/.f64 1 x) (.f64 (/.f64 (+.f64 y -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000) x) (/.f64 1 x))))))
▶	30.7b	(/.f64 (.f64 (-.f64 x 2) (+.f64 (.f64 (+.f64 (sqrt.f64 (.f64 18468349503317588169/976562500000000 (.f64 x x))) y) x) z)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 (+.f64 x 216700011257/5000000000) x) 263505074721/1000000000) x) 156699607947/500000000) x) 23533438303/500000000))
	47.0b	(.f64 (+.f64 x -2) (/.f64 (.f64 (+.f64 (.f64 (+.f64 4297481763/31250000 (.f64 (+.f64 393497462077/5000000000 (.f64 104109730557/25000000000 x)) x)) x) y) x) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)))
	34.9b	(*.f64 (+.f64 x -2) 104109730557/25000000000)
	30.9b	(/.f64 (.f64 (-.f64 x 2) (+.f64 (.f64 (+.f64 (.f64 x 4297481763/31250000) y) x) z)) (+.f64 (.f64 x 156699607947/500000000) 23533438303/500000000))
	39.4b	(/.f64 (.f64 (+.f64 (.f64 4297481763/31250000 (pow.f64 x 2)) z) (-.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000))
	51.5b	(.f64 (.f64 x (+.f64 x -2)) (/.f64 y (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))
	51.5b	(/.f64 (.f64 (fma.f64 x x -4) (-.f64 10838835996651139530249/625000000000000000000 (.f64 (pow.f64 x -2) 161878373695374854434910217844194695190262201/15625000000000000000000000000000000000000))) (*.f64 (+.f64 x 2) (+.f64 (/.f64 12723143231740136880149/125000000000000000000 x) 104109730557/25000000000)))
	41.4b	(/.f64 (.f64 z (-.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (*.f64 x 263505074721/1000000000)) x) 23533438303/500000000))
	35.4b	(pow.f64 (cbrt.f64 (*.f64 x 104109730557/25000000000)) 3)
	62.1b	(-.f64 (+.f64 (.f64 -1000000000/156699607947 (/.f64 z x)) (.f64 500000000/156699607947 z)) (*.f64 11766719151500000000/24554767130743505554809 (/.f64 z x)))
	52.1b	(.f64 (+.f64 x -2) (/.f64 (.f64 y x) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)))
	36.2b	(/.f64 (.f64 (-.f64 1128428295162862690821234941118693/15625000000000000000000000000000 (.f64 (pow.f64 x -3) 2059601734647409189681626961129620613782216990037768112413421947949/1953125000000000000000000000000000000000000000000000000000000)) (+.f64 x -2)) 10838835996651139530249/625000000000000000000)
	33.8b	(.f64 (+.f64 x -2) (+.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (.f64 x x)) (.f64 (/.f64 1 x) (/.f64 y (.f64 x x))))))
	31.0b	(.f64 (+.f64 x -2) (+.f64 (.f64 (-.f64 68759708208/23533438303 (+.f64 (.f64 156699607947/23533438303 (-.f64 (.f64 500000000/23533438303 y) (.f64 78349803973500000000/553822718361107519809 z))) (.f64 65876268680250000000/553822718361107519809 z))) (pow.f64 x 2)) (+.f64 (.f64 500000000/23533438303 z) (.f64 (-.f64 (.f64 500000000/23533438303 y) (.f64 78349803973500000000/553822718361107519809 z)) x))))
	35.6b	(/.f64 (.f64 (-.f64 10838835996651139530249/625000000000000000000 (.f64 (pow.f64 x -2) 161878373695374854434910217844194695190262201/15625000000000000000000000000000000000000)) (+.f64 x -2)) (+.f64 (/.f64 12723143231740136880149/125000000000000000000 x) 104109730557/25000000000))
✓	41.4b	(*.f64 z -1000000000/23533438303)
	36.2b	(/.f64 (.f64 (-.f64 1128428295162862690821234941118693/15625000000000000000000000000000 (.f64 (pow.f64 x -3) 2059601734647409189681626961129620613782216990037768112413421947949/1953125000000000000000000000000000000000000000000000000000000)) (+.f64 x -2)) (exp.f64 (log.f64 (fma.f64 (/.f64 12723143231740136880149/125000000000000000000 x) (+.f64 (/.f64 12723143231740136880149/125000000000000000000 x) 104109730557/25000000000) 10838835996651139530249/625000000000000000000))))
	34.0b	(.f64 (+.f64 x -2) (+.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (.f64 x x)) (pow.f64 (/.f64 (cbrt.f64 (+.f64 y -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000)) x) 3))))
✓	35.0b	(*.f64 x 104109730557/25000000000)
	41.4b	(/.f64 (*.f64 z (-.f64 x 2)) 23533438303/500000000)
	62.1b	(/.f64 4297481763/31250000 x)
	62.1b	(/.f64 12723143231740136880149/62500000000000000000 x)
▶	62.3b	(*.f64 z 500000000/156699607947)

Compiler

Compiled 1856 to 1427 computations (23.1% saved)

localize68.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(.f64 (+.f64 (.f64 (+.f64 x 216700011257/5000000000) x) 263505074721/1000000000) x)
✓	0.5b	(.f64 18468349503317588169/976562500000000 (.f64 x x))
✓	25.5b	(/.f64 (.f64 (-.f64 x 2) (+.f64 (.f64 (+.f64 (sqrt.f64 (.f64 18468349503317588169/976562500000000 (.f64 x x))) y) x) z)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 (+.f64 x 216700011257/5000000000) x) 263505074721/1000000000) x) 156699607947/500000000) x) 23533438303/500000000))
✓	29.3b	(sqrt.f64 (.f64 18468349503317588169/976562500000000 (.f64 x x)))

Compiler

Compiled 170 to 106 computations (37.6% saved)

series9.0ms (0%)

Counts

3 → 60

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(sqrt.f64 (.f64 18468349503317588169/976562500000000 (.f64 x x)))
1.0ms	x	@	-inf	(/.f64 (.f64 (-.f64 x 2) (+.f64 (.f64 (+.f64 (sqrt.f64 (.f64 18468349503317588169/976562500000000 (.f64 x x))) y) x) z)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 (+.f64 x 216700011257/5000000000) x) 263505074721/1000000000) x) 156699607947/500000000) x) 23533438303/500000000))
1.0ms	x	@	inf	(.f64 18468349503317588169/976562500000000 (.f64 x x))
0.0ms	x	@	0	(.f64 18468349503317588169/976562500000000 (.f64 x x))
0.0ms	x	@	0	(/.f64 (.f64 (-.f64 x 2) (+.f64 (.f64 (+.f64 (sqrt.f64 (.f64 18468349503317588169/976562500000000 (.f64 x x))) y) x) z)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 (+.f64 x 216700011257/5000000000) x) 263505074721/1000000000) x) 156699607947/500000000) x) 23533438303/500000000))

rewrite86.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

312×	`add-sqr-sqrt_binary64`
298×	`*-un-lft-identity_binary64`
298×	`pow1_binary64`
295×	`add-exp-log_binary64`
295×	`add-log-exp_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	56
1	616	44

Stop Event

1×	node limit

Counts

3 → 87

Calls

Call 1

Inputs

(sqrt.f64 (*.f64 18468349503317588169/976562500000000 (*.f64 x x)))

(/.f64 (*.f64 (-.f64 x 2) (+.f64 (*.f64 (+.f64 (sqrt.f64 (*.f64 18468349503317588169/976562500000000 (*.f64 x x))) y) x) z)) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 x 216700011257/5000000000) x) 263505074721/1000000000) x) 156699607947/500000000) x) 23533438303/500000000))

(*.f64 18468349503317588169/976562500000000 (*.f64 x x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x 4297481763/31250000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 4297481763/31250000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (pow.f64 18468349503317588169/976562500000000 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x 4297481763/31250000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x 4297481763/31250000)) (pow.f64 (cbrt.f64 (*.f64 x 4297481763/31250000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x 4297481763/31250000)) 2) (cbrt.f64 (*.f64 x 4297481763/31250000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x 4297481763/31250000)) (sqrt.f64 (*.f64 x 4297481763/31250000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4297481763/31250000 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (*.f64 341079933376691005615320522259088772561/953674316406250000000000000000 (pow.f64 x 4)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 4297481763/31250000)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 18468349503317588169/976562500000000 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 18468349503317588169/976562500000000 1/2) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (*.f64 x 4297481763/31250000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 341079933376691005615320522259088772561/953674316406250000000000000000 (pow.f64 x 4))) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 4297481763/31250000)) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 18468349503317588169/976562500000000 x) 1/2) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 18468349503317588169/976562500000000 (*.f64 x x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 4297481763/31250000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 4297481763/31250000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x 4297481763/31250000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 79367395183217443153422061947/30517578125000000000000 (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 x 4297481763/31250000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 4297481763/31250000) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x 4297481763/31250000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 79367395183217443153422061947/30517578125000000000000 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x 4297481763/31250000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x 4297481763/31250000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x 4297481763/31250000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 18468349503317588169/976562500000000 (*.f64 x x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x 4297481763/31250000)) 1))))))

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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) (*.f64 (+.f64 x -2) (fma.f64 x (fma.f64 4297481763/31250000 x y) z))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (+.f64 x -2) (fma.f64 x (fma.f64 4297481763/31250000 x y) z)) (neg.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 (+.f64 x -2) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (fma.f64 x (fma.f64 4297481763/31250000 x y) z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 (+.f64 x -2) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (fma.f64 x (fma.f64 4297481763/31250000 x y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (+.f64 x -2) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (fma.f64 x (fma.f64 4297481763/31250000 x y) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 (+.f64 x -2) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (fma.f64 x (fma.f64 4297481763/31250000 x y) z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 (+.f64 x -2) (fma.f64 x (fma.f64 4297481763/31250000 x y) z)) 3) (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 x -2) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (fma.f64 x (fma.f64 4297481763/31250000 x y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (+.f64 x -2) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (fma.f64 x (fma.f64 4297481763/31250000 x y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 (+.f64 x -2) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (fma.f64 x (fma.f64 4297481763/31250000 x y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (+.f64 x -2) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (fma.f64 x (fma.f64 4297481763/31250000 x y) z))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 18468349503317588169/976562500000000 (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 18468349503317588169/976562500000000 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 4297481763/31250000) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 341079933376691005615320522259088772561/953674316406250000000000000000 (pow.f64 x 4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 18468349503317588169/976562500000000 (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 4297481763/31250000)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 341079933376691005615320522259088772561/953674316406250000000000000000 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 18468349503317588169/976562500000000) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 18468349503317588169/976562500000000 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 18468349503317588169/976562500000000 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 18468349503317588169/976562500000000 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 18468349503317588169/976562500000000 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 18468349503317588169/976562500000000 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 18468349503317588169/976562500000000 (*.f64 x x))) 1))))))

simplify114.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

709×	`fma-neg_binary64`
655×	`fma-def_binary64`
556×	`associate-+l+_binary64`
376×	`associate-+r+_binary64`
322×	`associate--l+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	164	2221
1	484	2019
2	1628	1927
3	7701	1927

Stop Event

1×	node limit

Counts

147 → 126

Calls

Call 1

Inputs
(*.f64 4297481763/31250000 x)
(*.f64 4297481763/31250000 x)
(*.f64 4297481763/31250000 x)
(*.f64 4297481763/31250000 x)
(*.f64 4297481763/31250000 x)
(*.f64 4297481763/31250000 x)
(*.f64 4297481763/31250000 x)
(*.f64 4297481763/31250000 x)
(*.f64 -4297481763/31250000 x)
(*.f64 -4297481763/31250000 x)
(*.f64 -4297481763/31250000 x)
(*.f64 -4297481763/31250000 x)
(*.f64 -1000000000/23533438303 z)
(+.f64 (.f64 (-.f64 (.f64 500000000/23533438303 (+.f64 (.f64 -2 y) z)) (.f64 -156699607947000000000/553822718361107519809 z)) x) (*.f64 -1000000000/23533438303 z))
(+.f64 (.f64 (-.f64 (.f64 500000000/23533438303 (+.f64 (.f64 -2 y) z)) (.f64 -156699607947000000000/553822718361107519809 z)) x) (+.f64 (.f64 -1000000000/23533438303 z) (.f64 (-.f64 (.f64 500000000/23533438303 (-.f64 y 4297481763/15625000)) (+.f64 (.f64 -131752537360500000000/553822718361107519809 z) (.f64 156699607947/23533438303 (-.f64 (.f64 500000000/23533438303 (+.f64 (.f64 -2 y) z)) (.f64 -156699607947000000000/553822718361107519809 z))))) (pow.f64 x 2))))
(+.f64 (.f64 (-.f64 (.f64 500000000/23533438303 (+.f64 (.f64 -2 y) z)) (.f64 -156699607947000000000/553822718361107519809 z)) x) (+.f64 (.f64 (-.f64 68759708208/23533438303 (+.f64 (.f64 263505074721/47066876606 (-.f64 (.f64 500000000/23533438303 (+.f64 (.f64 -2 y) z)) (.f64 -156699607947000000000/553822718361107519809 z))) (+.f64 (.f64 156699607947/23533438303 (-.f64 (.f64 500000000/23533438303 (-.f64 y 4297481763/15625000)) (+.f64 (.f64 -131752537360500000000/553822718361107519809 z) (.f64 156699607947/23533438303 (-.f64 (.f64 500000000/23533438303 (+.f64 (.f64 -2 y) z)) (.f64 -156699607947000000000/553822718361107519809 z)))))) (.f64 -21670001125700000000/553822718361107519809 z)))) (pow.f64 x 3)) (+.f64 (.f64 -1000000000/23533438303 z) (.f64 (-.f64 (.f64 500000000/23533438303 (-.f64 y 4297481763/15625000)) (+.f64 (.f64 -131752537360500000000/553822718361107519809 z) (.f64 156699607947/23533438303 (-.f64 (.f64 500000000/23533438303 (+.f64 (.f64 -2 y) z)) (*.f64 -156699607947000000000/553822718361107519809 z))))) (pow.f64 x 2)))))
(/.f64 4297481763/31250000 x)
(-.f64 (+.f64 (/.f64 y (pow.f64 x 2)) (.f64 4297481763/31250000 (/.f64 1 x))) (.f64 974239164048852206091/156250000000000000 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 z (pow.f64 x 3)) (+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (.f64 -2 (/.f64 y (pow.f64 x 3))) (.f64 4297481763/31250000 (/.f64 1 x))))) (+.f64 (.f64 216700011257/5000000000 (/.f64 (-.f64 y 974239164048852206091/156250000000000000) (pow.f64 x 3))) (+.f64 (.f64 1132408253071449813123/31250000000000000 (/.f64 1 (pow.f64 x 3))) (*.f64 974239164048852206091/156250000000000000 (/.f64 1 (pow.f64 x 2))))))
(-.f64 (+.f64 (.f64 -2 (/.f64 y (pow.f64 x 3))) (+.f64 (.f64 -2 (/.f64 z (pow.f64 x 4))) (+.f64 (/.f64 z (pow.f64 x 3)) (+.f64 (/.f64 y (pow.f64 x 2)) (.f64 4297481763/31250000 (/.f64 1 x)))))) (+.f64 (.f64 1132408253071449813123/31250000000000000 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 216700011257/5000000000 (/.f64 (-.f64 (+.f64 (.f64 -2 y) z) (+.f64 (.f64 216700011257/5000000000 (-.f64 y 974239164048852206091/156250000000000000)) 1132408253071449813123/31250000000000000)) (pow.f64 x 4))) (+.f64 (.f64 216700011257/5000000000 (/.f64 (-.f64 y 974239164048852206091/156250000000000000) (pow.f64 x 3))) (+.f64 (.f64 673413707421482370561/15625000000000000 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 263505074721/1000000000 (/.f64 (-.f64 y 974239164048852206091/156250000000000000) (pow.f64 x 4))) (*.f64 974239164048852206091/156250000000000000 (/.f64 1 (pow.f64 x 2)))))))))
(/.f64 -4297481763/31250000 x)
(-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 y) 974239164048852206091/156250000000000000) (pow.f64 x 2))) (*.f64 4297481763/31250000 (/.f64 1 x)))
(-.f64 (+.f64 (/.f64 z (pow.f64 x 3)) (+.f64 (.f64 -2 (/.f64 y (pow.f64 x 3))) (+.f64 (.f64 1132408253071449813123/31250000000000000 (/.f64 1 (pow.f64 x 3))) (.f64 -1 (/.f64 (-.f64 (.f64 -1 y) 974239164048852206091/156250000000000000) (pow.f64 x 2)))))) (+.f64 (.f64 -216700011257/5000000000 (/.f64 (-.f64 (.f64 -1 y) 974239164048852206091/156250000000000000) (pow.f64 x 3))) (*.f64 4297481763/31250000 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 2 z) (+.f64 673413707421482370561/15625000000000000 (+.f64 (.f64 -216700011257/5000000000 (-.f64 (+.f64 (.f64 -2 y) (+.f64 1132408253071449813123/31250000000000000 z)) (.f64 -216700011257/5000000000 (-.f64 (.f64 -1 y) 974239164048852206091/156250000000000000)))) (.f64 263505074721/1000000000 (-.f64 (.f64 -1 y) 974239164048852206091/156250000000000000))))) (pow.f64 x 4))) (+.f64 (/.f64 z (pow.f64 x 3)) (+.f64 (.f64 -2 (/.f64 y (pow.f64 x 3))) (+.f64 (.f64 1132408253071449813123/31250000000000000 (/.f64 1 (pow.f64 x 3))) (.f64 -1 (/.f64 (-.f64 (.f64 -1 y) 974239164048852206091/156250000000000000) (pow.f64 x 2))))))) (+.f64 (.f64 -216700011257/5000000000 (/.f64 (-.f64 (.f64 -1 y) 974239164048852206091/156250000000000000) (pow.f64 x 3))) (*.f64 4297481763/31250000 (/.f64 1 x))))
(/.f64 (.f64 (+.f64 (.f64 4297481763/31250000 (pow.f64 x 2)) z) (-.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 4297481763/31250000 (pow.f64 x 2)) z) (-.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) (/.f64 (.f64 y (.f64 (-.f64 x 2) x)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 4297481763/31250000 (pow.f64 x 2)) z) (-.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) (/.f64 (.f64 y (.f64 (-.f64 x 2) x)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 4297481763/31250000 (pow.f64 x 2)) z) (-.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) (/.f64 (.f64 y (.f64 (-.f64 x 2) x)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)))
(/.f64 (.f64 y (.f64 x (-.f64 x 2))) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 4297481763/31250000 (pow.f64 x 2)) z) (-.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) (/.f64 (.f64 y (.f64 (-.f64 x 2) x)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 4297481763/31250000 (pow.f64 x 2)) z) (-.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) (/.f64 (.f64 y (.f64 (-.f64 x 2) x)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 4297481763/31250000 (pow.f64 x 2)) z) (-.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) (/.f64 (.f64 y (.f64 (-.f64 x 2) x)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)))
(/.f64 (.f64 y (.f64 x (-.f64 x 2))) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 4297481763/31250000 (pow.f64 x 2)) z) (-.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) (/.f64 (.f64 y (.f64 (-.f64 x 2) x)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 4297481763/31250000 (pow.f64 x 2)) z) (-.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) (/.f64 (.f64 y (.f64 (-.f64 x 2) x)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 4297481763/31250000 (pow.f64 x 2)) z) (-.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) (/.f64 (.f64 y (.f64 (-.f64 x 2) x)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)))
(/.f64 (.f64 (+.f64 (.f64 4297481763/31250000 x) y) (.f64 x (-.f64 x 2))) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000))
(+.f64 (.f64 z (-.f64 (/.f64 x (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) (.f64 2 (/.f64 1 (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000))))) (/.f64 (.f64 (+.f64 (.f64 4297481763/31250000 x) y) (.f64 (-.f64 x 2) x)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)))
(+.f64 (.f64 z (-.f64 (/.f64 x (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) (.f64 2 (/.f64 1 (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000))))) (/.f64 (.f64 (+.f64 (.f64 4297481763/31250000 x) y) (.f64 (-.f64 x 2) x)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)))
(+.f64 (.f64 z (-.f64 (/.f64 x (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) (.f64 2 (/.f64 1 (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000))))) (/.f64 (.f64 (+.f64 (.f64 4297481763/31250000 x) y) (.f64 (-.f64 x 2) x)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)))
(/.f64 (.f64 z (-.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000))
(+.f64 (/.f64 (.f64 z (-.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) (/.f64 (.f64 (+.f64 (.f64 4297481763/31250000 x) y) (.f64 x (-.f64 x 2))) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)))
(+.f64 (/.f64 (.f64 z (-.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) (/.f64 (.f64 (+.f64 (.f64 4297481763/31250000 x) y) (.f64 x (-.f64 x 2))) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)))
(+.f64 (/.f64 (.f64 z (-.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) (/.f64 (.f64 (+.f64 (.f64 4297481763/31250000 x) y) (.f64 x (-.f64 x 2))) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)))
(/.f64 (.f64 z (-.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000))
(+.f64 (/.f64 (.f64 z (-.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) (/.f64 (.f64 (+.f64 (.f64 4297481763/31250000 x) y) (.f64 x (-.f64 x 2))) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)))
(+.f64 (/.f64 (.f64 z (-.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) (/.f64 (.f64 (+.f64 (.f64 4297481763/31250000 x) y) (.f64 x (-.f64 x 2))) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)))
(+.f64 (/.f64 (.f64 z (-.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) (/.f64 (.f64 (+.f64 (.f64 4297481763/31250000 x) y) (.f64 x (-.f64 x 2))) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)))
(*.f64 18468349503317588169/976562500000000 (pow.f64 x 2))
(*.f64 18468349503317588169/976562500000000 (pow.f64 x 2))
(*.f64 18468349503317588169/976562500000000 (pow.f64 x 2))
(*.f64 18468349503317588169/976562500000000 (pow.f64 x 2))
(*.f64 18468349503317588169/976562500000000 (pow.f64 x 2))
(*.f64 18468349503317588169/976562500000000 (pow.f64 x 2))
(*.f64 18468349503317588169/976562500000000 (pow.f64 x 2))
(*.f64 18468349503317588169/976562500000000 (pow.f64 x 2))
(*.f64 18468349503317588169/976562500000000 (pow.f64 x 2))
(*.f64 18468349503317588169/976562500000000 (pow.f64 x 2))
(*.f64 18468349503317588169/976562500000000 (pow.f64 x 2))
(*.f64 18468349503317588169/976562500000000 (pow.f64 x 2))

Outputs
(*.f64 4297481763/31250000 x)
(*.f64 4297481763/31250000 x)
(*.f64 4297481763/31250000 x)
(*.f64 4297481763/31250000 x)
(*.f64 4297481763/31250000 x)
(*.f64 4297481763/31250000 x)
(*.f64 4297481763/31250000 x)
(*.f64 4297481763/31250000 x)
(*.f64 -4297481763/31250000 x)
(*.f64 x -4297481763/31250000)
(*.f64 -4297481763/31250000 x)
(*.f64 x -4297481763/31250000)
(*.f64 -4297481763/31250000 x)
(*.f64 x -4297481763/31250000)
(*.f64 -4297481763/31250000 x)
(*.f64 x -4297481763/31250000)
(*.f64 -1000000000/23533438303 z)
(+.f64 (.f64 (-.f64 (.f64 500000000/23533438303 (+.f64 (.f64 -2 y) z)) (.f64 -156699607947000000000/553822718361107519809 z)) x) (*.f64 -1000000000/23533438303 z))
(fma.f64 (fma.f64 500000000/23533438303 (fma.f64 -2 y z) (neg.f64 (.f64 z -156699607947000000000/553822718361107519809))) x (.f64 -1000000000/23533438303 z))
(fma.f64 x (fma.f64 500000000/23533438303 (fma.f64 -2 y z) (.f64 z 156699607947000000000/553822718361107519809)) (.f64 -1000000000/23533438303 z))
(fma.f64 x (fma.f64 -1000000000/23533438303 y (.f64 z 168466327098500000000/553822718361107519809)) (.f64 -1000000000/23533438303 z))
(+.f64 (.f64 (-.f64 (.f64 500000000/23533438303 (+.f64 (.f64 -2 y) z)) (.f64 -156699607947000000000/553822718361107519809 z)) x) (+.f64 (.f64 -1000000000/23533438303 z) (.f64 (-.f64 (.f64 500000000/23533438303 (-.f64 y 4297481763/15625000)) (+.f64 (.f64 -131752537360500000000/553822718361107519809 z) (.f64 156699607947/23533438303 (-.f64 (.f64 500000000/23533438303 (+.f64 (.f64 -2 y) z)) (.f64 -156699607947000000000/553822718361107519809 z))))) (pow.f64 x 2))))
(fma.f64 (fma.f64 500000000/23533438303 (fma.f64 -2 y z) (neg.f64 (.f64 z -156699607947000000000/553822718361107519809))) x (fma.f64 -1000000000/23533438303 z (.f64 (-.f64 (.f64 500000000/23533438303 (+.f64 y -4297481763/15625000)) (fma.f64 -131752537360500000000/553822718361107519809 z (.f64 (fma.f64 500000000/23533438303 (fma.f64 -2 y z) (neg.f64 (.f64 z -156699607947000000000/553822718361107519809))) 156699607947/23533438303))) (.f64 x x))))
(fma.f64 x (fma.f64 500000000/23533438303 (fma.f64 -2 y z) (.f64 z 156699607947000000000/553822718361107519809)) (fma.f64 (-.f64 (+.f64 (.f64 y 500000000/23533438303) -137519416416/23533438303) (fma.f64 (fma.f64 500000000/23533438303 (fma.f64 -2 y z) (.f64 z 156699607947000000000/553822718361107519809)) 156699607947/23533438303 (.f64 z -131752537360500000000/553822718361107519809))) (.f64 x x) (.f64 -1000000000/23533438303 z)))
(fma.f64 -1000000000/23533438303 z (.f64 x (+.f64 (fma.f64 -1000000000/23533438303 y (.f64 z 168466327098500000000/553822718361107519809)) (.f64 x (-.f64 (fma.f64 500000000/23533438303 y -137519416416/23533438303) (fma.f64 (fma.f64 -1000000000/23533438303 y (.f64 z 168466327098500000000/553822718361107519809)) 156699607947/23533438303 (*.f64 z -131752537360500000000/553822718361107519809)))))))
(fma.f64 -1000000000/23533438303 z (.f64 x (+.f64 (fma.f64 -1000000000/23533438303 y (.f64 z 168466327098500000000/553822718361107519809)) (.f64 x (+.f64 (fma.f64 500000000/23533438303 y -137519416416/23533438303) (fma.f64 (fma.f64 -1000000000/23533438303 y (.f64 z 168466327098500000000/553822718361107519809)) -156699607947/23533438303 (*.f64 z 131752537360500000000/553822718361107519809)))))))
(+.f64 (.f64 (-.f64 (.f64 500000000/23533438303 (+.f64 (.f64 -2 y) z)) (.f64 -156699607947000000000/553822718361107519809 z)) x) (+.f64 (.f64 (-.f64 68759708208/23533438303 (+.f64 (.f64 263505074721/47066876606 (-.f64 (.f64 500000000/23533438303 (+.f64 (.f64 -2 y) z)) (.f64 -156699607947000000000/553822718361107519809 z))) (+.f64 (.f64 156699607947/23533438303 (-.f64 (.f64 500000000/23533438303 (-.f64 y 4297481763/15625000)) (+.f64 (.f64 -131752537360500000000/553822718361107519809 z) (.f64 156699607947/23533438303 (-.f64 (.f64 500000000/23533438303 (+.f64 (.f64 -2 y) z)) (.f64 -156699607947000000000/553822718361107519809 z)))))) (.f64 -21670001125700000000/553822718361107519809 z)))) (pow.f64 x 3)) (+.f64 (.f64 -1000000000/23533438303 z) (.f64 (-.f64 (.f64 500000000/23533438303 (-.f64 y 4297481763/15625000)) (+.f64 (.f64 -131752537360500000000/553822718361107519809 z) (.f64 156699607947/23533438303 (-.f64 (.f64 500000000/23533438303 (+.f64 (.f64 -2 y) z)) (*.f64 -156699607947000000000/553822718361107519809 z))))) (pow.f64 x 2)))))
(fma.f64 (fma.f64 500000000/23533438303 (fma.f64 -2 y z) (neg.f64 (.f64 z -156699607947000000000/553822718361107519809))) x (fma.f64 (-.f64 68759708208/23533438303 (fma.f64 263505074721/47066876606 (fma.f64 500000000/23533438303 (fma.f64 -2 y z) (neg.f64 (.f64 z -156699607947000000000/553822718361107519809))) (fma.f64 156699607947/23533438303 (-.f64 (.f64 500000000/23533438303 (+.f64 y -4297481763/15625000)) (fma.f64 -131752537360500000000/553822718361107519809 z (.f64 (fma.f64 500000000/23533438303 (fma.f64 -2 y z) (neg.f64 (.f64 z -156699607947000000000/553822718361107519809))) 156699607947/23533438303))) (.f64 z -21670001125700000000/553822718361107519809)))) (pow.f64 x 3) (fma.f64 -1000000000/23533438303 z (.f64 (-.f64 (.f64 500000000/23533438303 (+.f64 y -4297481763/15625000)) (fma.f64 -131752537360500000000/553822718361107519809 z (.f64 (fma.f64 500000000/23533438303 (fma.f64 -2 y z) (neg.f64 (.f64 z -156699607947000000000/553822718361107519809))) 156699607947/23533438303))) (*.f64 x x)))))
(fma.f64 x (fma.f64 500000000/23533438303 (fma.f64 -2 y z) (.f64 z 156699607947000000000/553822718361107519809)) (fma.f64 (-.f64 68759708208/23533438303 (fma.f64 (fma.f64 500000000/23533438303 (fma.f64 -2 y z) (.f64 z 156699607947000000000/553822718361107519809)) 263505074721/47066876606 (fma.f64 156699607947/23533438303 (-.f64 (+.f64 (.f64 y 500000000/23533438303) -137519416416/23533438303) (fma.f64 (fma.f64 500000000/23533438303 (fma.f64 -2 y z) (.f64 z 156699607947000000000/553822718361107519809)) 156699607947/23533438303 (.f64 z -131752537360500000000/553822718361107519809))) (.f64 z -21670001125700000000/553822718361107519809)))) (pow.f64 x 3) (fma.f64 (-.f64 (+.f64 (.f64 y 500000000/23533438303) -137519416416/23533438303) (fma.f64 (fma.f64 500000000/23533438303 (fma.f64 -2 y z) (.f64 z 156699607947000000000/553822718361107519809)) 156699607947/23533438303 (.f64 z -131752537360500000000/553822718361107519809))) (.f64 x x) (*.f64 -1000000000/23533438303 z))))
(fma.f64 (-.f64 68759708208/23533438303 (fma.f64 156699607947/23533438303 (-.f64 (fma.f64 500000000/23533438303 y -137519416416/23533438303) (fma.f64 (fma.f64 -1000000000/23533438303 y (.f64 z 168466327098500000000/553822718361107519809)) 156699607947/23533438303 (.f64 z -131752537360500000000/553822718361107519809))) (fma.f64 z -21670001125700000000/553822718361107519809 (.f64 (fma.f64 -1000000000/23533438303 y (.f64 z 168466327098500000000/553822718361107519809)) 263505074721/47066876606)))) (pow.f64 x 3) (fma.f64 -1000000000/23533438303 z (.f64 x (+.f64 (fma.f64 -1000000000/23533438303 y (.f64 z 168466327098500000000/553822718361107519809)) (.f64 x (-.f64 (fma.f64 500000000/23533438303 y -137519416416/23533438303) (fma.f64 (fma.f64 -1000000000/23533438303 y (.f64 z 168466327098500000000/553822718361107519809)) 156699607947/23533438303 (*.f64 z -131752537360500000000/553822718361107519809))))))))
(fma.f64 (-.f64 68759708208/23533438303 (fma.f64 156699607947/23533438303 (+.f64 (fma.f64 500000000/23533438303 y -137519416416/23533438303) (fma.f64 (fma.f64 -1000000000/23533438303 y (.f64 z 168466327098500000000/553822718361107519809)) -156699607947/23533438303 (.f64 z 131752537360500000000/553822718361107519809))) (fma.f64 z -21670001125700000000/553822718361107519809 (.f64 (fma.f64 -1000000000/23533438303 y (.f64 z 168466327098500000000/553822718361107519809)) 263505074721/47066876606)))) (pow.f64 x 3) (fma.f64 -1000000000/23533438303 z (.f64 x (+.f64 (fma.f64 -1000000000/23533438303 y (.f64 z 168466327098500000000/553822718361107519809)) (.f64 x (+.f64 (fma.f64 500000000/23533438303 y -137519416416/23533438303) (fma.f64 (fma.f64 -1000000000/23533438303 y (.f64 z 168466327098500000000/553822718361107519809)) -156699607947/23533438303 (*.f64 z 131752537360500000000/553822718361107519809))))))))
(/.f64 4297481763/31250000 x)
(-.f64 (+.f64 (/.f64 y (pow.f64 x 2)) (.f64 4297481763/31250000 (/.f64 1 x))) (.f64 974239164048852206091/156250000000000000 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 y (.f64 x x)) (-.f64 (/.f64 4297481763/31250000 x) (/.f64 974239164048852206091/156250000000000000 (.f64 x x))))
(+.f64 (/.f64 y (.f64 x x)) (+.f64 (/.f64 4297481763/31250000 x) (/.f64 -974239164048852206091/156250000000000000 (.f64 x x))))
(+.f64 (/.f64 4297481763/31250000 x) (/.f64 (+.f64 y -974239164048852206091/156250000000000000) (*.f64 x x)))
(-.f64 (+.f64 (/.f64 z (pow.f64 x 3)) (+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (.f64 -2 (/.f64 y (pow.f64 x 3))) (.f64 4297481763/31250000 (/.f64 1 x))))) (+.f64 (.f64 216700011257/5000000000 (/.f64 (-.f64 y 974239164048852206091/156250000000000000) (pow.f64 x 3))) (+.f64 (.f64 1132408253071449813123/31250000000000000 (/.f64 1 (pow.f64 x 3))) (*.f64 974239164048852206091/156250000000000000 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (/.f64 z (pow.f64 x 3)) (-.f64 (+.f64 (/.f64 y (.f64 x x)) (fma.f64 -2 (/.f64 y (pow.f64 x 3)) (/.f64 4297481763/31250000 x))) (fma.f64 216700011257/5000000000 (/.f64 (+.f64 y -974239164048852206091/156250000000000000) (pow.f64 x 3)) (+.f64 (/.f64 974239164048852206091/156250000000000000 (.f64 x x)) (/.f64 1132408253071449813123/31250000000000000 (pow.f64 x 3))))))
(-.f64 (-.f64 (+.f64 (fma.f64 -2 (/.f64 y (pow.f64 x 3)) (/.f64 4297481763/31250000 x)) (+.f64 (/.f64 y (.f64 x x)) (/.f64 z (pow.f64 x 3)))) (fma.f64 216700011257/5000000000 (/.f64 (+.f64 y -974239164048852206091/156250000000000000) (pow.f64 x 3)) (/.f64 1132408253071449813123/31250000000000000 (pow.f64 x 3)))) (/.f64 974239164048852206091/156250000000000000 (.f64 x x)))
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(*.f64 18468349503317588169/976562500000000 (pow.f64 x 2))
(.f64 (.f64 x x) 18468349503317588169/976562500000000)
(.f64 x (.f64 x 18468349503317588169/976562500000000))
(*.f64 18468349503317588169/976562500000000 (pow.f64 x 2))
(.f64 (.f64 x x) 18468349503317588169/976562500000000)
(.f64 x (.f64 x 18468349503317588169/976562500000000))
(*.f64 18468349503317588169/976562500000000 (pow.f64 x 2))
(.f64 (.f64 x x) 18468349503317588169/976562500000000)
(.f64 x (.f64 x 18468349503317588169/976562500000000))
(*.f64 18468349503317588169/976562500000000 (pow.f64 x 2))
(.f64 (.f64 x x) 18468349503317588169/976562500000000)
(.f64 x (.f64 x 18468349503317588169/976562500000000))
(*.f64 18468349503317588169/976562500000000 (pow.f64 x 2))
(.f64 (.f64 x x) 18468349503317588169/976562500000000)
(.f64 x (.f64 x 18468349503317588169/976562500000000))
(*.f64 18468349503317588169/976562500000000 (pow.f64 x 2))
(.f64 (.f64 x x) 18468349503317588169/976562500000000)
(.f64 x (.f64 x 18468349503317588169/976562500000000))
(*.f64 18468349503317588169/976562500000000 (pow.f64 x 2))
(.f64 (.f64 x x) 18468349503317588169/976562500000000)
(.f64 x (.f64 x 18468349503317588169/976562500000000))
(*.f64 18468349503317588169/976562500000000 (pow.f64 x 2))
(.f64 (.f64 x x) 18468349503317588169/976562500000000)
(.f64 x (.f64 x 18468349503317588169/976562500000000))
(*.f64 18468349503317588169/976562500000000 (pow.f64 x 2))
(.f64 (.f64 x x) 18468349503317588169/976562500000000)
(.f64 x (.f64 x 18468349503317588169/976562500000000))
(*.f64 18468349503317588169/976562500000000 (pow.f64 x 2))
(.f64 (.f64 x x) 18468349503317588169/976562500000000)
(.f64 x (.f64 x 18468349503317588169/976562500000000))
(*.f64 18468349503317588169/976562500000000 (pow.f64 x 2))
(.f64 (.f64 x x) 18468349503317588169/976562500000000)
(.f64 x (.f64 x 18468349503317588169/976562500000000))
(*.f64 18468349503317588169/976562500000000 (pow.f64 x 2))
(.f64 (.f64 x x) 18468349503317588169/976562500000000)
(.f64 x (.f64 x 18468349503317588169/976562500000000))

localize3.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 z 500000000/156699607947)

Compiler

Compiled 8 to 6 computations (25% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	z	@	0	(*.f64 z 500000000/156699607947)
0.0ms	z	@	inf	(*.f64 z 500000000/156699607947)
0.0ms	z	@	-inf	(*.f64 z 500000000/156699607947)

rewrite60.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

345×	`pow1_binary64`
338×	`add-sqr-sqrt_binary64`
329×	`*-un-lft-identity_binary64`
321×	`add-log-exp_binary64`
321×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	4
1	80	4
2	873	4

Stop Event

1×	node limit

Counts

1 → 25

Calls

Call 1

Inputs
(*.f64 z 500000000/156699607947)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (*.f64 z 500000000/156699607947)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 z 500000000/156699607947))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 500000000/156699607947) z))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 500000000/156699607947) z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1000000000/156699607947) z))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 500000000/156699607947) z))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 z 500000000/156699607947)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 z 500000000/156699607947)) 3) 1) (+.f64 (*.f64 (+.f64 1 (*.f64 z 500000000/156699607947)) (+.f64 1 (*.f64 z 500000000/156699607947))) (+.f64 1 (*.f64 (+.f64 1 (*.f64 z 500000000/156699607947)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 1 (*.f64 z 500000000/156699607947)) (+.f64 1 (*.f64 z 500000000/156699607947))) 1) (+.f64 (+.f64 1 (*.f64 z 500000000/156699607947)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z 500000000/156699607947) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z 500000000/156699607947) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 125000000000000000000000000/3847722382617389411054987020467123 (pow.f64 z 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z 500000000/156699607947)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 z 500000000/156699607947)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 z 500000000/156699607947)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 z 500000000/156699607947)))) (sqrt.f64 (log.f64 (*.f64 z 500000000/156699607947))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 z 500000000/156699607947))) 2)) (cbrt.f64 (log.f64 (*.f64 z 500000000/156699607947))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 z 500000000/156699607947) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 z 500000000/156699607947))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 500000000/156699607947) z))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 125000000000000000000000000/3847722382617389411054987020467123 (pow.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z 500000000/156699607947)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z 500000000/156699607947)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z 500000000/156699607947)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 z 500000000/156699607947))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 z 500000000/156699607947))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 z 500000000/156699607947))) 2))))))

simplify11.0ms (0%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	48
1	5	48

Stop Event

1×

saturated

Counts

37 → 26

Calls

Call 1

Inputs
(*.f64 500000000/156699607947 z)
(*.f64 500000000/156699607947 z)
(*.f64 500000000/156699607947 z)
(*.f64 500000000/156699607947 z)
(*.f64 500000000/156699607947 z)
(*.f64 500000000/156699607947 z)
(*.f64 500000000/156699607947 z)
(*.f64 500000000/156699607947 z)
(*.f64 500000000/156699607947 z)
(*.f64 500000000/156699607947 z)
(*.f64 500000000/156699607947 z)
(*.f64 500000000/156699607947 z)

Outputs
(*.f64 500000000/156699607947 z)
(*.f64 500000000/156699607947 z)
(*.f64 500000000/156699607947 z)
(*.f64 500000000/156699607947 z)
(*.f64 500000000/156699607947 z)
(*.f64 500000000/156699607947 z)
(*.f64 500000000/156699607947 z)
(*.f64 500000000/156699607947 z)
(*.f64 500000000/156699607947 z)
(*.f64 500000000/156699607947 z)
(*.f64 500000000/156699607947 z)
(*.f64 500000000/156699607947 z)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 104109730557/25000000000 x) (.f64 2284450290879775841688574159837293/625000000000000000000000000000 (/.f64 1 x)))
✓	0.0b	(-.f64 (+.f64 (.f64 104109730557/25000000000 x) (.f64 2284450290879775841688574159837293/625000000000000000000000000000 (/.f64 1 x))) 13764240537310136880149/125000000000000000000)
✓	0.3b	(*.f64 2284450290879775841688574159837293/625000000000000000000000000000 (/.f64 1 x))
✓	0.6b	(*.f64 104109730557/25000000000 x)

Compiler

Compiled 39 to 31 computations (20.5% saved)

series6.0ms (0%)

Counts

4 → 21

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(*.f64 2284450290879775841688574159837293/625000000000000000000000000000 (/.f64 1 x))
1.0ms	x	@	-inf	(*.f64 2284450290879775841688574159837293/625000000000000000000000000000 (/.f64 1 x))
0.0ms	x	@	0	(*.f64 2284450290879775841688574159837293/625000000000000000000000000000 (/.f64 1 x))
0.0ms	x	@	0	(-.f64 (+.f64 (.f64 104109730557/25000000000 x) (.f64 2284450290879775841688574159837293/625000000000000000000000000000 (/.f64 1 x))) 13764240537310136880149/125000000000000000000)
0.0ms	x	@	0	(*.f64 104109730557/25000000000 x)

rewrite127.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

493×	`log-prod_binary64`
470×	`fma-def_binary64`
312×	`pow-prod-down_binary64`
299×	`pow2_binary64`
271×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	27
1	249	27
2	3185	27

Stop Event

1×	node limit

Counts

4 → 198

Calls

Call 1

Inputs
(*.f64 104109730557/25000000000 x)
(*.f64 2284450290879775841688574159837293/625000000000000000000000000000 (/.f64 1 x))
(-.f64 (+.f64 (.f64 104109730557/25000000000 x) (.f64 2284450290879775841688574159837293/625000000000000000000000000000 (/.f64 1 x))) 13764240537310136880149/125000000000000000000)
(+.f64 (.f64 104109730557/25000000000 x) (.f64 2284450290879775841688574159837293/625000000000000000000000000000 (/.f64 1 x)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 104109730557/25000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 104109730557/25000000000) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 104109730557/25000000000) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 104109730557/25000000000) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 104109730557/25000000000) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 104109730557/25000000000 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 104109730557/25000000000 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 10838835996651139530249/625000000000000000000 (.f64 x x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 104109730557/25000000000 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 104109730557/25000000000 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 104109730557/25000000000 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 10838835996651139530249/625000000000000000000 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 104109730557/25000000000) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 104109730557/25000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 104109730557/25000000000 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 104109730557/25000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 104109730557/25000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 104109730557/25000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 104109730557/25000000000 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 104109730557/25000000000 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 104109730557/25000000000 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (.f64 104109730557/25000000000 x))) 1/3))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2284450290879775841688574159837293/625000000000000000000000000000 x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x 2284450290879775841688574159837293/625000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2284450290879775841688574159837293/625000000000000000000000000000 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 5218713131500692454134920189872459795927520118072459928324233567849/390625000000000000000000000000000000000000000000000000000000 (pow.f64 x -2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 11921890731274862749846566432754836869870095181685826762976277590649500932473088135076577110715992757/244140625000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x -3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x 2284450290879775841688574159837293/625000000000000000000000000000) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 5218713131500692454134920189872459795927520118072459928324233567849/390625000000000000000000000000000000000000000000000000000000 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 11921890731274862749846566432754836869870095181685826762976277590649500932473088135076577110715992757/244140625000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (*.f64 11921890731274862749846566432754836869870095181685826762976277590649500932473088135076577110715992757/244140625000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x -3))) 1/3))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 104109730557/25000000000 x) (+.f64 (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x) -13764240537310136880149/125000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 104109730557/25000000000 x) (.f64 (+.f64 (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x) -13764240537310136880149/125000000000000000000) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x) (fma.f64 104109730557/25000000000 x -13764240537310136880149/125000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 104109730557/25000000000 x (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x)) -13764240537310136880149/125000000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x) (fma.f64 104109730557/25000000000 x -13764240537310136880149/125000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -13764240537310136880149/125000000000000000000 (fma.f64 104109730557/25000000000 x (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x) -13764240537310136880149/125000000000000000000) (.f64 104109730557/25000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x) (fma.f64 104109730557/25000000000 x -13764240537310136880149/125000000000000000000)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x) (fma.f64 104109730557/25000000000 x -13764240537310136880149/125000000000000000000))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x) (fma.f64 104109730557/25000000000 x -13764240537310136880149/125000000000000000000))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x) (fma.f64 104109730557/25000000000 x -13764240537310136880149/125000000000000000000))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x) (fma.f64 104109730557/25000000000 x -13764240537310136880149/125000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x) (fma.f64 104109730557/25000000000 x -13764240537310136880149/125000000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x) (fma.f64 104109730557/25000000000 x -13764240537310136880149/125000000000000000000))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x) (fma.f64 104109730557/25000000000 x -13764240537310136880149/125000000000000000000))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x) (fma.f64 104109730557/25000000000 x -13764240537310136880149/125000000000000000000))) 2) (cbrt.f64 (+.f64 (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x) (fma.f64 104109730557/25000000000 x -13764240537310136880149/125000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x) (fma.f64 104109730557/25000000000 x -13764240537310136880149/125000000000000000000))) (sqrt.f64 (+.f64 (/.f64 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104109730557/25000000000 x)) (pow.f64 (cbrt.f64 (.f64 104109730557/25000000000 x)) 2) (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 104109730557/25000000000 x)) 2) (cbrt.f64 (.f64 104109730557/25000000000 x)) (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x)) (sqrt.f64 (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x)) (.f64 104109730557/25000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 104109730557/25000000000) (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x -1/2) (.f64 (pow.f64 x -1/2) 2284450290879775841688574159837293/625000000000000000000000000000) (.f64 104109730557/25000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 104109730557/25000000000 x)) (sqrt.f64 (.f64 104109730557/25000000000 x)) (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 2284450290879775841688574159837293/625000000000000000000000000000 (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 (/.f64 1 x)) (.f64 104109730557/25000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 2284450290879775841688574159837293/625000000000000000000000000000 (pow.f64 x -1/2)) (pow.f64 x -1/2) (.f64 104109730557/25000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 104109730557/25000000000 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 104109730557/25000000000 (sqrt.f64 x)) (sqrt.f64 x) (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x))))))

simplify16.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`fma-neg_binary64`
2×	`+-commutative_binary64`
2×	`*-commutative_binary64`
2×	`sub-neg_binary64`
1×	`associate-*r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	89
1	23	89
2	28	89

Stop Event

1×

saturated

Counts

219 → 204

Calls

Call 1

Inputs
(/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x)
(/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x)
(/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x)
(/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x)
(/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x)
(/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x)
(/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x)
(/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x)
(/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x)
(/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x)
(/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x)
(/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x)
(/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x)
(-.f64 (*.f64 2284450290879775841688574159837293/625000000000000000000000000000 (/.f64 1 x)) 13764240537310136880149/125000000000000000000)
(*.f64 104109730557/25000000000 x)
(-.f64 (*.f64 104109730557/25000000000 x) 13764240537310136880149/125000000000000000000)
(*.f64 104109730557/25000000000 x)
(-.f64 (*.f64 104109730557/25000000000 x) 13764240537310136880149/125000000000000000000)
(/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x)
(*.f64 104109730557/25000000000 x)
(*.f64 104109730557/25000000000 x)

Outputs
(/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x)
(/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x)
(/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x)
(/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x)
(/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x)
(/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x)
(/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x)
(/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x)
(/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x)
(/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x)
(/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x)
(/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x)
(/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x)
(-.f64 (*.f64 2284450290879775841688574159837293/625000000000000000000000000000 (/.f64 1 x)) 13764240537310136880149/125000000000000000000)
(+.f64 (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x) -13764240537310136880149/125000000000000000000)
(*.f64 104109730557/25000000000 x)
(*.f64 x 104109730557/25000000000)
(-.f64 (*.f64 104109730557/25000000000 x) 13764240537310136880149/125000000000000000000)
(fma.f64 104109730557/25000000000 x -13764240537310136880149/125000000000000000000)
(fma.f64 x 104109730557/25000000000 -13764240537310136880149/125000000000000000000)
(*.f64 104109730557/25000000000 x)
(*.f64 x 104109730557/25000000000)
(-.f64 (*.f64 104109730557/25000000000 x) 13764240537310136880149/125000000000000000000)
(fma.f64 104109730557/25000000000 x -13764240537310136880149/125000000000000000000)
(fma.f64 x 104109730557/25000000000 -13764240537310136880149/125000000000000000000)
(/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x)
(*.f64 104109730557/25000000000 x)
(*.f64 x 104109730557/25000000000)
(*.f64 104109730557/25000000000 x)
(*.f64 x 104109730557/25000000000)

localize92.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x)
	0.4b	(.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)
✓	3.6b	(.f64 y (.f64 (-.f64 x 2) x))
✓	19.6b	(/.f64 (.f64 y (.f64 (-.f64 x 2) x)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000))

Compiler

Compiled 111 to 77 computations (30.6% saved)

series10.0ms (0%)

Counts

2 → 32

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	y	@	0	(/.f64 (.f64 y (.f64 (-.f64 x 2) x)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000))
1.0ms	y	@	inf	(/.f64 (.f64 y (.f64 (-.f64 x 2) x)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000))
1.0ms	x	@	0	(/.f64 (.f64 y (.f64 (-.f64 x 2) x)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000))
1.0ms	x	@	inf	(/.f64 (.f64 y (.f64 (-.f64 x 2) x)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000))
1.0ms	x	@	-inf	(/.f64 (.f64 y (.f64 (-.f64 x 2) x)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000))

rewrite107.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

580×	`prod-diff_binary64`
402×	`log1p-udef_binary64`
228×	`add-sqr-sqrt_binary64`
216×	`*-un-lft-identity_binary64`
216×	`pow1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	42
1	449	38
2	6287	38

Stop Event

1×	node limit

Counts

2 → 64

Calls

Call 1

Inputs

(/.f64 (*.f64 y (*.f64 (-.f64 x 2) x)) (+.f64 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000))

(*.f64 y (*.f64 (-.f64 x 2) x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 y (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (*.f64 x (+.f64 x -2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 1 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) (*.f64 x (+.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (*.f64 (*.f64 x (+.f64 x -2)) (/.f64 1 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (+.f64 x -2)) (*.f64 y (/.f64 1 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (*.f64 x (+.f64 x -2))) (/.f64 1 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 y (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (*.f64 x (+.f64 x -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 y (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (*.f64 x (+.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 y (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (*.f64 x (+.f64 x -2)))) (cbrt.f64 (pow.f64 (*.f64 (/.f64 y (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (*.f64 x (+.f64 x -2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 y (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (*.f64 x (+.f64 x -2))) 2)) (cbrt.f64 (*.f64 (/.f64 y (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (*.f64 x (+.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 y (*.f64 x (+.f64 x -2))) 2)) (*.f64 (cbrt.f64 (*.f64 y (*.f64 x (+.f64 x -2)))) (/.f64 1 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 y (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (*.f64 x (+.f64 x -2)))) (sqrt.f64 (*.f64 (/.f64 y (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (*.f64 x (+.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y (*.f64 x (+.f64 x -2)))) (*.f64 (sqrt.f64 (*.f64 y (*.f64 x (+.f64 x -2)))) (/.f64 1 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (neg.f64 (*.f64 x (+.f64 x -2)))) (/.f64 1 (neg.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (*.f64 y (*.f64 x (+.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (+.f64 x -2)) (*.f64 x (/.f64 1 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y 1) (/.f64 (*.f64 x (+.f64 x -2)) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (+.f64 x -2)) 1) (/.f64 y (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (*.f64 x (+.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 y (*.f64 x (+.f64 x -2))) 2)) 1) (/.f64 (cbrt.f64 (*.f64 y (*.f64 x (+.f64 x -2)))) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 y (*.f64 x (+.f64 x -2)))) 1) (/.f64 (sqrt.f64 (*.f64 y (*.f64 x (+.f64 x -2)))) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 y (+.f64 x -2)) 1) (/.f64 x (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) 2)) (/.f64 (*.f64 x (+.f64 x -2)) (cbrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (+.f64 x -2)) (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) 2)) (/.f64 y (cbrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) 2)) (/.f64 (*.f64 y (*.f64 x (+.f64 x -2))) (cbrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 y (*.f64 x (+.f64 x -2))) 2)) (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) 2)) (cbrt.f64 (*.f64 (/.f64 y (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (*.f64 x (+.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 y (*.f64 x (+.f64 x -2)))) (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) 2)) (/.f64 (sqrt.f64 (*.f64 y (*.f64 x (+.f64 x -2)))) (cbrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 y (+.f64 x -2)) (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) 2)) (/.f64 x (cbrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))) (/.f64 (*.f64 x (+.f64 x -2)) (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (+.f64 x -2)) (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))) (/.f64 y (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))) (/.f64 (*.f64 y (*.f64 x (+.f64 x -2))) (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 y (*.f64 x (+.f64 x -2))) 2)) (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))) (/.f64 (cbrt.f64 (*.f64 y (*.f64 x (+.f64 x -2)))) (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 y (+.f64 x -2)) (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))) (/.f64 x (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 y (*.f64 x (+.f64 x -2))) (+.f64 13033352773350869092174451844127/125000000000000000000000000 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000)) 3))) (+.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000)) 2) (-.f64 553822718361107519809/250000000000000000 (*.f64 x (*.f64 (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 y (*.f64 x (+.f64 x -2))) (+.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000)) 2) -553822718361107519809/250000000000000000)) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) -23533438303/500000000))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 y (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (*.f64 x (+.f64 x -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 y (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (*.f64 x (+.f64 x -2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 y (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (*.f64 x (+.f64 x -2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 y (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (*.f64 x (+.f64 x -2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) (*.f64 y (*.f64 x (+.f64 x -2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 y (*.f64 x (+.f64 x -2))) (neg.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 y (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (*.f64 x (+.f64 x -2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 y (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (*.f64 x (+.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 y (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (*.f64 x (+.f64 x -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 y (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (*.f64 x (+.f64 x -2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 y (*.f64 x (+.f64 x -2))) 3) (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 y (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (*.f64 x (+.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 y (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (*.f64 x (+.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 y (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (*.f64 x (+.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (*.f64 x (+.f64 x -2)))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y (*.f64 x (+.f64 x -2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (*.f64 x (+.f64 x -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (*.f64 x (+.f64 x -2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (*.f64 x (+.f64 x -2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (*.f64 x (+.f64 x -2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (*.f64 x (+.f64 x -2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 x -2)) y))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y (*.f64 x (+.f64 x -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (*.f64 x (+.f64 x -2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (*.f64 x (+.f64 x -2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x (+.f64 x -2)) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (*.f64 x (+.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (*.f64 x (+.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (*.f64 x (+.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y (*.f64 x (+.f64 x -2)))) 1))))))

simplify78.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

865×	`fma-neg_binary64`
579×	`fma-def_binary64`
258×	`distribute-rgt-neg-in_binary64`
243×	`associate-l_binary64`
243×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	115	880
1	337	720
2	1204	651
3	5372	647

Stop Event

1×	node limit

Counts

96 → 93

Calls

Call 1

Inputs
(/.f64 (.f64 y (.f64 (-.f64 x 2) x)) (+.f64 23533438303/500000000 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 (*.f64 (+.f64 216700011257/5000000000 x) x) 263505074721/1000000000) x)) x)))
(/.f64 (.f64 y (.f64 (-.f64 x 2) x)) (+.f64 23533438303/500000000 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 (*.f64 (+.f64 216700011257/5000000000 x) x) 263505074721/1000000000) x)) x)))
(/.f64 (.f64 y (.f64 (-.f64 x 2) x)) (+.f64 23533438303/500000000 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 (*.f64 (+.f64 216700011257/5000000000 x) x) 263505074721/1000000000) x)) x)))
(/.f64 (.f64 y (.f64 (-.f64 x 2) x)) (+.f64 23533438303/500000000 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 (*.f64 (+.f64 216700011257/5000000000 x) x) 263505074721/1000000000) x)) x)))
(/.f64 (.f64 y (.f64 x (-.f64 x 2))) (+.f64 23533438303/500000000 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 (*.f64 (+.f64 216700011257/5000000000 x) x) 263505074721/1000000000) x)) x)))
(/.f64 (.f64 y (.f64 x (-.f64 x 2))) (+.f64 23533438303/500000000 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 (*.f64 (+.f64 216700011257/5000000000 x) x) 263505074721/1000000000) x)) x)))
(/.f64 (.f64 y (.f64 x (-.f64 x 2))) (+.f64 23533438303/500000000 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 (*.f64 (+.f64 216700011257/5000000000 x) x) 263505074721/1000000000) x)) x)))
(/.f64 (.f64 y (.f64 x (-.f64 x 2))) (+.f64 23533438303/500000000 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 (*.f64 (+.f64 216700011257/5000000000 x) x) 263505074721/1000000000) x)) x)))
(.f64 -1000000000/23533438303 (.f64 y x))
(+.f64 (.f64 -1000000000/23533438303 (.f64 y x)) (.f64 (-.f64 (.f64 500000000/23533438303 y) (*.f64 -156699607947000000000/553822718361107519809 y)) (pow.f64 x 2)))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 156699607947/23533438303 (-.f64 (.f64 500000000/23533438303 y) (.f64 -156699607947000000000/553822718361107519809 y))) (.f64 -131752537360500000000/553822718361107519809 y)) (pow.f64 x 3))) (+.f64 (.f64 -1000000000/23533438303 (.f64 y x)) (.f64 (-.f64 (.f64 500000000/23533438303 y) (*.f64 -156699607947000000000/553822718361107519809 y)) (pow.f64 x 2))))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 156699607947/23533438303 (-.f64 (.f64 500000000/23533438303 y) (.f64 -156699607947000000000/553822718361107519809 y))) (.f64 -131752537360500000000/553822718361107519809 y)) (pow.f64 x 3))) (+.f64 (.f64 -1000000000/23533438303 (.f64 y x)) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -21670001125700000000/553822718361107519809 y) (+.f64 (.f64 263505074721/47066876606 (-.f64 (.f64 500000000/23533438303 y) (.f64 -156699607947000000000/553822718361107519809 y))) (.f64 -156699607947/23533438303 (+.f64 (.f64 156699607947/23533438303 (-.f64 (.f64 500000000/23533438303 y) (.f64 -156699607947000000000/553822718361107519809 y))) (.f64 -131752537360500000000/553822718361107519809 y))))) (pow.f64 x 4))) (.f64 (-.f64 (.f64 500000000/23533438303 y) (.f64 -156699607947000000000/553822718361107519809 y)) (pow.f64 x 2)))))
(/.f64 y (pow.f64 x 2))
(-.f64 (+.f64 (/.f64 y (pow.f64 x 2)) (.f64 -2 (/.f64 y (pow.f64 x 3)))) (.f64 216700011257/5000000000 (/.f64 y (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (.f64 -2 (/.f64 y (pow.f64 x 3))) (.f64 -1 (/.f64 (+.f64 (.f64 263505074721/1000000000 y) (.f64 216700011257/5000000000 (-.f64 (.f64 -2 y) (.f64 216700011257/5000000000 y)))) (pow.f64 x 4))))) (*.f64 216700011257/5000000000 (/.f64 y (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 156699607947/500000000 y) (+.f64 (.f64 263505074721/1000000000 (-.f64 (.f64 -2 y) (.f64 216700011257/5000000000 y))) (.f64 -216700011257/5000000000 (+.f64 (.f64 263505074721/1000000000 y) (.f64 216700011257/5000000000 (-.f64 (.f64 -2 y) (.f64 216700011257/5000000000 y))))))) (pow.f64 x 5))) (+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (.f64 -2 (/.f64 y (pow.f64 x 3))) (.f64 -1 (/.f64 (+.f64 (.f64 263505074721/1000000000 y) (.f64 216700011257/5000000000 (-.f64 (.f64 -2 y) (.f64 216700011257/5000000000 y)))) (pow.f64 x 4)))))) (*.f64 216700011257/5000000000 (/.f64 y (pow.f64 x 3))))
(/.f64 y (pow.f64 x 2))
(+.f64 (/.f64 y (pow.f64 x 2)) (.f64 -1 (/.f64 (-.f64 (.f64 2 y) (*.f64 -216700011257/5000000000 y)) (pow.f64 x 3))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 263505074721/1000000000 y) (.f64 -216700011257/5000000000 (-.f64 (.f64 2 y) (.f64 -216700011257/5000000000 y)))) (pow.f64 x 4))) (+.f64 (/.f64 y (pow.f64 x 2)) (.f64 -1 (/.f64 (-.f64 (.f64 2 y) (.f64 -216700011257/5000000000 y)) (pow.f64 x 3)))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 263505074721/1000000000 y) (.f64 -216700011257/5000000000 (-.f64 (.f64 2 y) (.f64 -216700011257/5000000000 y)))) (pow.f64 x 4))) (+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (.f64 216700011257/5000000000 (/.f64 (+.f64 (.f64 263505074721/1000000000 y) (.f64 -216700011257/5000000000 (-.f64 (.f64 2 y) (.f64 -216700011257/5000000000 y)))) (pow.f64 x 5))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 2 y) (.f64 -216700011257/5000000000 y)) (pow.f64 x 3))) (+.f64 (.f64 263505074721/1000000000 (/.f64 (-.f64 (.f64 2 y) (.f64 -216700011257/5000000000 y)) (pow.f64 x 5))) (*.f64 -156699607947/500000000 (/.f64 y (pow.f64 x 5))))))))
(.f64 -2 (.f64 y x))
(+.f64 (.f64 -2 (.f64 y x)) (*.f64 y (pow.f64 x 2)))
(+.f64 (.f64 -2 (.f64 y x)) (*.f64 y (pow.f64 x 2)))
(+.f64 (.f64 -2 (.f64 y x)) (*.f64 y (pow.f64 x 2)))
(*.f64 y (pow.f64 x 2))
(+.f64 (.f64 -2 (.f64 y x)) (*.f64 y (pow.f64 x 2)))
(+.f64 (.f64 -2 (.f64 y x)) (*.f64 y (pow.f64 x 2)))
(+.f64 (.f64 -2 (.f64 y x)) (*.f64 y (pow.f64 x 2)))
(*.f64 y (pow.f64 x 2))
(+.f64 (.f64 -2 (.f64 y x)) (*.f64 y (pow.f64 x 2)))
(+.f64 (.f64 -2 (.f64 y x)) (*.f64 y (pow.f64 x 2)))
(+.f64 (.f64 -2 (.f64 y x)) (*.f64 y (pow.f64 x 2)))

Outputs
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(fma.f64 -1 (/.f64 (fma.f64 263505074721/1000000000 y (.f64 -216700011257/5000000000 (.f64 y 226700011257/5000000000))) (pow.f64 x 4)) (+.f64 (/.f64 y (.f64 x x)) (fma.f64 216700011257/5000000000 (/.f64 (fma.f64 263505074721/1000000000 y (.f64 -216700011257/5000000000 (.f64 y 226700011257/5000000000))) (pow.f64 x 5)) (fma.f64 -1 (/.f64 (.f64 y 226700011257/5000000000) (pow.f64 x 3)) (fma.f64 263505074721/1000000000 (/.f64 (.f64 y 226700011257/5000000000) (pow.f64 x 5)) (.f64 -156699607947/500000000 (/.f64 y (pow.f64 x 5))))))))
(-.f64 (+.f64 (/.f64 y (.f64 x x)) (fma.f64 216700011257/5000000000 (/.f64 (fma.f64 y 263505074721/1000000000 (.f64 y -49125894991353926720049/25000000000000000000)) (pow.f64 x 5)) (-.f64 (fma.f64 263505074721/1000000000 (/.f64 y (/.f64 (pow.f64 x 5) 226700011257/5000000000)) (.f64 -156699607947/500000000 (/.f64 y (pow.f64 x 5)))) (/.f64 y (/.f64 (pow.f64 x 3) 226700011257/5000000000))))) (/.f64 (fma.f64 y 263505074721/1000000000 (.f64 y -49125894991353926720049/25000000000000000000)) (pow.f64 x 4)))
(+.f64 (-.f64 (fma.f64 (/.f64 y (pow.f64 x 3)) -226700011257/5000000000 (/.f64 y (.f64 x x))) (/.f64 (.f64 y -42538268123328926720049/25000000000000000000) (pow.f64 x 4))) (fma.f64 216700011257/5000000000 (/.f64 (.f64 y -42538268123328926720049/25000000000000000000) (pow.f64 x 5)) (fma.f64 -156699607947/500000000 (/.f64 y (pow.f64 x 5)) (/.f64 (.f64 y 59736603405527326134297/5000000000000000000) (pow.f64 x 5)))))
(+.f64 (fma.f64 216700011257/5000000000 (/.f64 (.f64 y -42538268123328926720049/25000000000000000000) (pow.f64 x 5)) (/.f64 y (.f64 x x))) (+.f64 (fma.f64 -156699607947/500000000 (/.f64 y (pow.f64 x 5)) (/.f64 (.f64 y 59736603405527326134297/5000000000000000000) (pow.f64 x 5))) (fma.f64 (/.f64 y (pow.f64 x 3)) -226700011257/5000000000 (/.f64 (.f64 y 42538268123328926720049/25000000000000000000) (pow.f64 x 4)))))
(.f64 -2 (.f64 y x))
(.f64 (.f64 y -2) x)
(.f64 x (.f64 y -2))
(.f64 y (.f64 x -2))
(+.f64 (.f64 -2 (.f64 y x)) (*.f64 y (pow.f64 x 2)))
(fma.f64 -2 (.f64 y x) (.f64 y (*.f64 x x)))
(.f64 (+.f64 x -2) (.f64 y x))
(+.f64 (.f64 -2 (.f64 y x)) (*.f64 y (pow.f64 x 2)))
(fma.f64 -2 (.f64 y x) (.f64 y (*.f64 x x)))
(.f64 (+.f64 x -2) (.f64 y x))
(+.f64 (.f64 -2 (.f64 y x)) (*.f64 y (pow.f64 x 2)))
(fma.f64 -2 (.f64 y x) (.f64 y (*.f64 x x)))
(.f64 (+.f64 x -2) (.f64 y x))
(*.f64 y (pow.f64 x 2))
(.f64 y (.f64 x x))
(+.f64 (.f64 -2 (.f64 y x)) (*.f64 y (pow.f64 x 2)))
(fma.f64 -2 (.f64 y x) (.f64 y (*.f64 x x)))
(.f64 (+.f64 x -2) (.f64 y x))
(+.f64 (.f64 -2 (.f64 y x)) (*.f64 y (pow.f64 x 2)))
(fma.f64 -2 (.f64 y x) (.f64 y (*.f64 x x)))
(.f64 (+.f64 x -2) (.f64 y x))
(+.f64 (.f64 -2 (.f64 y x)) (*.f64 y (pow.f64 x 2)))
(fma.f64 -2 (.f64 y x) (.f64 y (*.f64 x x)))
(.f64 (+.f64 x -2) (.f64 y x))
(*.f64 y (pow.f64 x 2))
(.f64 y (.f64 x x))
(+.f64 (.f64 -2 (.f64 y x)) (*.f64 y (pow.f64 x 2)))
(fma.f64 -2 (.f64 y x) (.f64 y (*.f64 x x)))
(.f64 (+.f64 x -2) (.f64 y x))
(+.f64 (.f64 -2 (.f64 y x)) (*.f64 y (pow.f64 x 2)))
(fma.f64 -2 (.f64 y x) (.f64 y (*.f64 x x)))
(.f64 (+.f64 x -2) (.f64 y x))
(+.f64 (.f64 -2 (.f64 y x)) (*.f64 y (pow.f64 x 2)))
(fma.f64 -2 (.f64 y x) (.f64 y (*.f64 x x)))
(.f64 (+.f64 x -2) (.f64 y x))

localize217.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (+.f64 4297481763/31250000 (.f64 (+.f64 393497462077/5000000000 (*.f64 104109730557/25000000000 x)) x)) (pow.f64 x 2))
	0.4b	(.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)
	0.6b	(*.f64 104109730557/25000000000 x)
✓	25.9b	(/.f64 (.f64 (+.f64 (.f64 (+.f64 4297481763/31250000 (.f64 (+.f64 393497462077/5000000000 (.f64 104109730557/25000000000 x)) x)) (pow.f64 x 2)) z) (-.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000))

Compiler

Compiled 188 to 138 computations (26.6% saved)

series8.0ms (0%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	z	@	0	(/.f64 (.f64 (+.f64 (.f64 (+.f64 4297481763/31250000 (.f64 (+.f64 393497462077/5000000000 (.f64 104109730557/25000000000 x)) x)) (pow.f64 x 2)) z) (-.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000))
1.0ms	x	@	0	(.f64 (+.f64 4297481763/31250000 (.f64 (+.f64 393497462077/5000000000 (*.f64 104109730557/25000000000 x)) x)) (pow.f64 x 2))
1.0ms	x	@	0	(/.f64 (.f64 (+.f64 (.f64 (+.f64 4297481763/31250000 (.f64 (+.f64 393497462077/5000000000 (.f64 104109730557/25000000000 x)) x)) (pow.f64 x 2)) z) (-.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000))
1.0ms	z	@	inf	(/.f64 (.f64 (+.f64 (.f64 (+.f64 4297481763/31250000 (.f64 (+.f64 393497462077/5000000000 (.f64 104109730557/25000000000 x)) x)) (pow.f64 x 2)) z) (-.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000))
1.0ms	z	@	-inf	(/.f64 (.f64 (+.f64 (.f64 (+.f64 4297481763/31250000 (.f64 (+.f64 393497462077/5000000000 (.f64 104109730557/25000000000 x)) x)) (pow.f64 x 2)) z) (-.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000))

rewrite77.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

335×	`add-sqr-sqrt_binary64`
318×	`pow1_binary64`
317×	`*-un-lft-identity_binary64`
317×	`add-log-exp_binary64`
317×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	67
1	664	55

Stop Event

1×	node limit

Counts

2 → 48

Calls

Call 1

Inputs

(/.f64 (*.f64 (+.f64 (*.f64 (+.f64 4297481763/31250000 (*.f64 (+.f64 393497462077/5000000000 (*.f64 104109730557/25000000000 x)) x)) (pow.f64 x 2)) z) (-.f64 x 2)) (+.f64 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000))

(*.f64 (+.f64 4297481763/31250000 (*.f64 (+.f64 393497462077/5000000000 (*.f64 104109730557/25000000000 x)) x)) (pow.f64 x 2))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 (fma.f64 x (fma.f64 104109730557/25000000000 x 393497462077/5000000000) 4297481763/31250000) (*.f64 x x) z) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) (+.f64 x -2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (fma.f64 x (fma.f64 104109730557/25000000000 x 393497462077/5000000000) 4297481763/31250000) (*.f64 x x) z) (/.f64 1 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) (+.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fma.f64 (fma.f64 x (fma.f64 104109730557/25000000000 x 393497462077/5000000000) 4297481763/31250000) (*.f64 x x) z) (+.f64 x -2)) (/.f64 1 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 (fma.f64 x (fma.f64 104109730557/25000000000 x 393497462077/5000000000) 4297481763/31250000) (*.f64 x x) z) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) (+.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 (fma.f64 x (fma.f64 104109730557/25000000000 x 393497462077/5000000000) 4297481763/31250000) (*.f64 x x) z) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) (+.f64 x -2)))) 2) (cbrt.f64 (/.f64 (fma.f64 (fma.f64 x (fma.f64 104109730557/25000000000 x 393497462077/5000000000) 4297481763/31250000) (*.f64 x x) z) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) (+.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 (fma.f64 x (fma.f64 104109730557/25000000000 x 393497462077/5000000000) 4297481763/31250000) (*.f64 x x) z) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) (+.f64 x -2)))) (sqrt.f64 (/.f64 (fma.f64 (fma.f64 x (fma.f64 104109730557/25000000000 x 393497462077/5000000000) 4297481763/31250000) (*.f64 x x) z) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) (+.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fma.f64 (fma.f64 x (fma.f64 104109730557/25000000000 x 393497462077/5000000000) 4297481763/31250000) (*.f64 x x) z) (neg.f64 (+.f64 x -2))) (/.f64 1 (neg.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 (fma.f64 x (fma.f64 104109730557/25000000000 x 393497462077/5000000000) 4297481763/31250000) (*.f64 x x) z) 1) (/.f64 (+.f64 x -2) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x -2) 1) (/.f64 (fma.f64 (fma.f64 x (fma.f64 104109730557/25000000000 x 393497462077/5000000000) 4297481763/31250000) (*.f64 x x) z) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 (fma.f64 x (fma.f64 104109730557/25000000000 x 393497462077/5000000000) 4297481763/31250000) (*.f64 x x) z) (+.f64 x -2))) 2) 1) (/.f64 (cbrt.f64 (*.f64 (fma.f64 (fma.f64 x (fma.f64 104109730557/25000000000 x 393497462077/5000000000) 4297481763/31250000) (*.f64 x x) z) (+.f64 x -2))) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (fma.f64 (fma.f64 x (fma.f64 104109730557/25000000000 x 393497462077/5000000000) 4297481763/31250000) (*.f64 x x) z) (+.f64 x -2))) 1) (/.f64 (sqrt.f64 (*.f64 (fma.f64 (fma.f64 x (fma.f64 104109730557/25000000000 x 393497462077/5000000000) 4297481763/31250000) (*.f64 x x) z) (+.f64 x -2))) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 (fma.f64 x (fma.f64 104109730557/25000000000 x 393497462077/5000000000) 4297481763/31250000) (*.f64 x x) z) (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) 2)) (/.f64 (+.f64 x -2) (cbrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x -2) (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) 2)) (/.f64 (fma.f64 (fma.f64 x (fma.f64 104109730557/25000000000 x 393497462077/5000000000) 4297481763/31250000) (*.f64 x x) z) (cbrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) 2)) (/.f64 (*.f64 (fma.f64 (fma.f64 x (fma.f64 104109730557/25000000000 x 393497462077/5000000000) 4297481763/31250000) (*.f64 x x) z) (+.f64 x -2)) (cbrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 (fma.f64 x (fma.f64 104109730557/25000000000 x 393497462077/5000000000) 4297481763/31250000) (*.f64 x x) z) (+.f64 x -2))) 2) (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) 2)) (cbrt.f64 (/.f64 (fma.f64 (fma.f64 x (fma.f64 104109730557/25000000000 x 393497462077/5000000000) 4297481763/31250000) (*.f64 x x) z) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) (+.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (fma.f64 (fma.f64 x (fma.f64 104109730557/25000000000 x 393497462077/5000000000) 4297481763/31250000) (*.f64 x x) z) (+.f64 x -2))) (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) 2)) (/.f64 (sqrt.f64 (*.f64 (fma.f64 (fma.f64 x (fma.f64 104109730557/25000000000 x 393497462077/5000000000) 4297481763/31250000) (*.f64 x x) z) (+.f64 x -2))) (cbrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 (fma.f64 x (fma.f64 104109730557/25000000000 x 393497462077/5000000000) 4297481763/31250000) (*.f64 x x) z) (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))) (/.f64 (+.f64 x -2) (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x -2) (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))) (/.f64 (fma.f64 (fma.f64 x (fma.f64 104109730557/25000000000 x 393497462077/5000000000) 4297481763/31250000) (*.f64 x x) z) (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))) (/.f64 (*.f64 (fma.f64 (fma.f64 x (fma.f64 104109730557/25000000000 x 393497462077/5000000000) 4297481763/31250000) (*.f64 x x) z) (+.f64 x 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(fma.f64 104109730557/25000000000 x 393497462077/5000000000) 4297481763/31250000) (*.f64 x x) z) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) (+.f64 x -2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 (fma.f64 x (fma.f64 104109730557/25000000000 x 393497462077/5000000000) 4297481763/31250000) (*.f64 x x) z) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) (+.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 (fma.f64 x (fma.f64 104109730557/25000000000 x 393497462077/5000000000) 4297481763/31250000) (*.f64 x x) z) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) (+.f64 x -2))))))))) (#(struct:change #<rule 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23533438303/500000000) (+.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 (fma.f64 x (fma.f64 104109730557/25000000000 x 393497462077/5000000000) 4297481763/31250000) (*.f64 x x) z) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) (+.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 (fma.f64 x (fma.f64 104109730557/25000000000 x 393497462077/5000000000) 4297481763/31250000) (*.f64 x x) z) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) (+.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 (fma.f64 x (fma.f64 104109730557/25000000000 x 393497462077/5000000000) 4297481763/31250000) (*.f64 x x) z) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 x (fma.f64 104109730557/25000000000 x 393497462077/5000000000) 4297481763/31250000) (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 x (fma.f64 104109730557/25000000000 x 393497462077/5000000000) 4297481763/31250000) (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (fma.f64 x (fma.f64 104109730557/25000000000 x 393497462077/5000000000) 4297481763/31250000) (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x (fma.f64 104109730557/25000000000 x 393497462077/5000000000) 4297481763/31250000))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fma.f64 x (fma.f64 104109730557/25000000000 x 393497462077/5000000000) 4297481763/31250000) (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (fma.f64 x (fma.f64 104109730557/25000000000 x 393497462077/5000000000) 4297481763/31250000) 2) (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) (fma.f64 x (fma.f64 104109730557/25000000000 x 393497462077/5000000000) 4297481763/31250000)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 x (fma.f64 104109730557/25000000000 x 393497462077/5000000000) 4297481763/31250000) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (fma.f64 x (fma.f64 104109730557/25000000000 x 393497462077/5000000000) 4297481763/31250000) (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (fma.f64 x (fma.f64 104109730557/25000000000 x 393497462077/5000000000) 4297481763/31250000) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (fma.f64 x (fma.f64 104109730557/25000000000 x 393497462077/5000000000) 4297481763/31250000) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (fma.f64 x (fma.f64 104109730557/25000000000 x 393497462077/5000000000) 4297481763/31250000) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 x (fma.f64 104109730557/25000000000 x 393497462077/5000000000) 4297481763/31250000) (*.f64 x x))) 1))))))

simplify82.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

505×	`fma-neg_binary64`
461×	`associate--r+_binary64`
445×	`cancel-sign-sub-inv_binary64`
365×	`fma-def_binary64`
348×	`associate--l+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	99	1379
1	266	1204
2	781	1143
3	3791	930

Stop Event

1×	node limit

Counts

84 → 79

Calls

Call 1

Inputs
(*.f64 -1000000000/23533438303 z)
(+.f64 (.f64 (-.f64 (.f64 500000000/23533438303 z) (.f64 -156699607947000000000/553822718361107519809 z)) x) (.f64 -1000000000/23533438303 z))
(+.f64 (.f64 (-.f64 (.f64 500000000/23533438303 z) (.f64 -156699607947000000000/553822718361107519809 z)) x) (+.f64 (.f64 -1 (.f64 (pow.f64 x 2) (+.f64 137519416416/23533438303 (+.f64 (.f64 -131752537360500000000/553822718361107519809 z) (.f64 156699607947/23533438303 (-.f64 (.f64 500000000/23533438303 z) (.f64 -156699607947000000000/553822718361107519809 z))))))) (.f64 -1000000000/23533438303 z)))
(+.f64 (.f64 (-.f64 (.f64 500000000/23533438303 z) (.f64 -156699607947000000000/553822718361107519809 z)) x) (+.f64 (.f64 -1 (.f64 (+.f64 49698921037/117667191515 (+.f64 (.f64 -21670001125700000000/553822718361107519809 z) (+.f64 (.f64 263505074721/47066876606 (-.f64 (.f64 500000000/23533438303 z) (.f64 -156699607947000000000/553822718361107519809 z))) (.f64 -156699607947/23533438303 (+.f64 137519416416/23533438303 (+.f64 (.f64 156699607947/23533438303 (-.f64 (.f64 500000000/23533438303 z) (.f64 -156699607947000000000/553822718361107519809 z))) (.f64 -131752537360500000000/553822718361107519809 z))))))) (pow.f64 x 3))) (+.f64 (.f64 -1 (.f64 (pow.f64 x 2) (+.f64 137519416416/23533438303 (+.f64 (.f64 -131752537360500000000/553822718361107519809 z) (.f64 156699607947/23533438303 (-.f64 (.f64 500000000/23533438303 z) (.f64 -156699607947000000000/553822718361107519809 z))))))) (*.f64 -1000000000/23533438303 z))))
(*.f64 104109730557/25000000000 x)
(-.f64 (*.f64 104109730557/25000000000 x) 13764240537310136880149/125000000000000000000)
(-.f64 (+.f64 (.f64 104109730557/25000000000 x) (.f64 2284450290879775841688574159837293/625000000000000000000000000000 (/.f64 1 x))) 13764240537310136880149/125000000000000000000)
(-.f64 (+.f64 (.f64 104109730557/25000000000 x) (.f64 2284450290879775841688574159837293/625000000000000000000000000000 (/.f64 1 x))) (+.f64 (*.f64 26824193331114715095879543597281115202414660878336/204800000000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 2))) 13764240537310136880149/125000000000000000000))
(*.f64 104109730557/25000000000 x)
(-.f64 (*.f64 104109730557/25000000000 x) 13764240537310136880149/125000000000000000000)
(-.f64 (+.f64 (.f64 104109730557/25000000000 x) (.f64 2284450290879775841688574159837293/625000000000000000000000000000 (/.f64 1 x))) 13764240537310136880149/125000000000000000000)
(-.f64 (+.f64 (.f64 104109730557/25000000000 x) (.f64 2284450290879775841688574159837293/625000000000000000000000000000 (/.f64 1 x))) (+.f64 (*.f64 26824193331114715095879543597281115202414660878336/204800000000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 2))) 13764240537310136880149/125000000000000000000))
(/.f64 (.f64 (+.f64 4297481763/31250000 (.f64 (+.f64 393497462077/5000000000 (.f64 104109730557/25000000000 x)) x)) (.f64 (pow.f64 x 2) (-.f64 x 2))) (+.f64 23533438303/500000000 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 (*.f64 (+.f64 216700011257/5000000000 x) x) 263505074721/1000000000) x)) x)))
(+.f64 (.f64 (-.f64 (/.f64 x (+.f64 23533438303/500000000 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 (.f64 (+.f64 216700011257/5000000000 x) x) 263505074721/1000000000) x)) x))) (.f64 2 (/.f64 1 (+.f64 23533438303/500000000 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 (.f64 (+.f64 216700011257/5000000000 x) x) 263505074721/1000000000) x)) x))))) z) (/.f64 (.f64 (+.f64 4297481763/31250000 (.f64 (+.f64 393497462077/5000000000 (.f64 104109730557/25000000000 x)) x)) (.f64 (-.f64 x 2) (pow.f64 x 2))) (+.f64 23533438303/500000000 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 (*.f64 (+.f64 216700011257/5000000000 x) x) 263505074721/1000000000) x)) x))))
(+.f64 (.f64 (-.f64 (/.f64 x (+.f64 23533438303/500000000 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 (.f64 (+.f64 216700011257/5000000000 x) x) 263505074721/1000000000) x)) x))) (.f64 2 (/.f64 1 (+.f64 23533438303/500000000 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 (.f64 (+.f64 216700011257/5000000000 x) x) 263505074721/1000000000) x)) x))))) z) (/.f64 (.f64 (+.f64 4297481763/31250000 (.f64 (+.f64 393497462077/5000000000 (.f64 104109730557/25000000000 x)) x)) (.f64 (-.f64 x 2) (pow.f64 x 2))) (+.f64 23533438303/500000000 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 (*.f64 (+.f64 216700011257/5000000000 x) x) 263505074721/1000000000) x)) x))))
(+.f64 (.f64 (-.f64 (/.f64 x (+.f64 23533438303/500000000 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 (.f64 (+.f64 216700011257/5000000000 x) x) 263505074721/1000000000) x)) x))) (.f64 2 (/.f64 1 (+.f64 23533438303/500000000 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 (.f64 (+.f64 216700011257/5000000000 x) x) 263505074721/1000000000) x)) x))))) z) (/.f64 (.f64 (+.f64 4297481763/31250000 (.f64 (+.f64 393497462077/5000000000 (.f64 104109730557/25000000000 x)) x)) (.f64 (-.f64 x 2) (pow.f64 x 2))) (+.f64 23533438303/500000000 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 (*.f64 (+.f64 216700011257/5000000000 x) x) 263505074721/1000000000) x)) x))))
(/.f64 (.f64 z (-.f64 x 2)) (+.f64 23533438303/500000000 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 (.f64 (+.f64 216700011257/5000000000 x) x) 263505074721/1000000000) x)) x)))
(+.f64 (/.f64 (.f64 (+.f64 4297481763/31250000 (.f64 (+.f64 393497462077/5000000000 (.f64 104109730557/25000000000 x)) x)) (.f64 (pow.f64 x 2) (-.f64 x 2))) (+.f64 23533438303/500000000 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 (.f64 (+.f64 216700011257/5000000000 x) x) 263505074721/1000000000) x)) x))) (/.f64 (.f64 z (-.f64 x 2)) (+.f64 23533438303/500000000 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 (*.f64 (+.f64 216700011257/5000000000 x) x) 263505074721/1000000000) x)) x))))
(+.f64 (/.f64 (.f64 (+.f64 4297481763/31250000 (.f64 (+.f64 393497462077/5000000000 (.f64 104109730557/25000000000 x)) x)) (.f64 (pow.f64 x 2) (-.f64 x 2))) (+.f64 23533438303/500000000 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 (.f64 (+.f64 216700011257/5000000000 x) x) 263505074721/1000000000) x)) x))) (/.f64 (.f64 z (-.f64 x 2)) (+.f64 23533438303/500000000 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 (*.f64 (+.f64 216700011257/5000000000 x) x) 263505074721/1000000000) x)) x))))
(+.f64 (/.f64 (.f64 (+.f64 4297481763/31250000 (.f64 (+.f64 393497462077/5000000000 (.f64 104109730557/25000000000 x)) x)) (.f64 (pow.f64 x 2) (-.f64 x 2))) (+.f64 23533438303/500000000 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 (.f64 (+.f64 216700011257/5000000000 x) x) 263505074721/1000000000) x)) x))) (/.f64 (.f64 z (-.f64 x 2)) (+.f64 23533438303/500000000 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 (*.f64 (+.f64 216700011257/5000000000 x) x) 263505074721/1000000000) x)) x))))
(/.f64 (.f64 z (-.f64 x 2)) (+.f64 23533438303/500000000 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 (.f64 (+.f64 216700011257/5000000000 x) x) 263505074721/1000000000) x)) x)))
(+.f64 (/.f64 (.f64 (+.f64 4297481763/31250000 (.f64 (+.f64 393497462077/5000000000 (.f64 104109730557/25000000000 x)) x)) (.f64 (pow.f64 x 2) (-.f64 x 2))) (+.f64 23533438303/500000000 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 (.f64 (+.f64 216700011257/5000000000 x) x) 263505074721/1000000000) x)) x))) (/.f64 (.f64 z (-.f64 x 2)) (+.f64 23533438303/500000000 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 (*.f64 (+.f64 216700011257/5000000000 x) x) 263505074721/1000000000) x)) x))))
(+.f64 (/.f64 (.f64 (+.f64 4297481763/31250000 (.f64 (+.f64 393497462077/5000000000 (.f64 104109730557/25000000000 x)) x)) (.f64 (pow.f64 x 2) (-.f64 x 2))) (+.f64 23533438303/500000000 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 (.f64 (+.f64 216700011257/5000000000 x) x) 263505074721/1000000000) x)) x))) (/.f64 (.f64 z (-.f64 x 2)) (+.f64 23533438303/500000000 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 (*.f64 (+.f64 216700011257/5000000000 x) x) 263505074721/1000000000) x)) x))))
(+.f64 (/.f64 (.f64 (+.f64 4297481763/31250000 (.f64 (+.f64 393497462077/5000000000 (.f64 104109730557/25000000000 x)) x)) (.f64 (pow.f64 x 2) (-.f64 x 2))) (+.f64 23533438303/500000000 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 (.f64 (+.f64 216700011257/5000000000 x) x) 263505074721/1000000000) x)) x))) (/.f64 (.f64 z (-.f64 x 2)) (+.f64 23533438303/500000000 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 (*.f64 (+.f64 216700011257/5000000000 x) x) 263505074721/1000000000) x)) x))))
(*.f64 4297481763/31250000 (pow.f64 x 2))
(+.f64 (.f64 4297481763/31250000 (pow.f64 x 2)) (.f64 393497462077/5000000000 (pow.f64 x 3)))
(+.f64 (.f64 104109730557/25000000000 (pow.f64 x 4)) (+.f64 (.f64 4297481763/31250000 (pow.f64 x 2)) (*.f64 393497462077/5000000000 (pow.f64 x 3))))
(+.f64 (.f64 104109730557/25000000000 (pow.f64 x 4)) (+.f64 (.f64 4297481763/31250000 (pow.f64 x 2)) (*.f64 393497462077/5000000000 (pow.f64 x 3))))
(*.f64 104109730557/25000000000 (pow.f64 x 4))
(+.f64 (.f64 104109730557/25000000000 (pow.f64 x 4)) (.f64 393497462077/5000000000 (pow.f64 x 3)))
(+.f64 (.f64 104109730557/25000000000 (pow.f64 x 4)) (+.f64 (.f64 4297481763/31250000 (pow.f64 x 2)) (*.f64 393497462077/5000000000 (pow.f64 x 3))))
(+.f64 (.f64 104109730557/25000000000 (pow.f64 x 4)) (+.f64 (.f64 4297481763/31250000 (pow.f64 x 2)) (*.f64 393497462077/5000000000 (pow.f64 x 3))))
(*.f64 104109730557/25000000000 (pow.f64 x 4))
(+.f64 (.f64 104109730557/25000000000 (pow.f64 x 4)) (.f64 393497462077/5000000000 (pow.f64 x 3)))
(+.f64 (.f64 104109730557/25000000000 (pow.f64 x 4)) (+.f64 (.f64 4297481763/31250000 (pow.f64 x 2)) (*.f64 393497462077/5000000000 (pow.f64 x 3))))
(+.f64 (.f64 104109730557/25000000000 (pow.f64 x 4)) (+.f64 (.f64 4297481763/31250000 (pow.f64 x 2)) (*.f64 393497462077/5000000000 (pow.f64 x 3))))

Outputs
(*.f64 -1000000000/23533438303 z)
(+.f64 (.f64 (-.f64 (.f64 500000000/23533438303 z) (.f64 -156699607947000000000/553822718361107519809 z)) x) (.f64 -1000000000/23533438303 z))
(fma.f64 (.f64 z 168466327098500000000/553822718361107519809) x (.f64 -1000000000/23533438303 z))
(fma.f64 -1000000000/23533438303 z (.f64 z (.f64 168466327098500000000/553822718361107519809 x)))
(.f64 z (+.f64 -1000000000/23533438303 (.f64 x 168466327098500000000/553822718361107519809)))
(+.f64 (.f64 (-.f64 (.f64 500000000/23533438303 z) (.f64 -156699607947000000000/553822718361107519809 z)) x) (+.f64 (.f64 -1 (.f64 (pow.f64 x 2) (+.f64 137519416416/23533438303 (+.f64 (.f64 -131752537360500000000/553822718361107519809 z) (.f64 156699607947/23533438303 (-.f64 (.f64 500000000/23533438303 z) (.f64 -156699607947000000000/553822718361107519809 z))))))) (.f64 -1000000000/23533438303 z)))
(fma.f64 (.f64 z 168466327098500000000/553822718361107519809) x (fma.f64 -1 (.f64 (.f64 x x) (+.f64 137519416416/23533438303 (fma.f64 -131752537360500000000/553822718361107519809 z (.f64 (.f64 z 168466327098500000000/553822718361107519809) 156699607947/23533438303)))) (.f64 -1000000000/23533438303 z)))
(fma.f64 (.f64 z 168466327098500000000/553822718361107519809) x (-.f64 (.f64 -1000000000/23533438303 z) (.f64 (.f64 x x) (+.f64 137519416416/23533438303 (fma.f64 z -131752537360500000000/553822718361107519809 (*.f64 z 26398607408606012051779500000000/13033352773350869092174451844127))))))
(fma.f64 -1000000000/23533438303 z (.f64 x (-.f64 (.f64 z 168466327098500000000/553822718361107519809) (.f64 x (+.f64 137519416416/23533438303 (.f64 z 23298017199368982832548000000000/13033352773350869092174451844127))))))
(fma.f64 -1000000000/23533438303 z (.f64 x (fma.f64 z 168466327098500000000/553822718361107519809 (.f64 x (+.f64 -137519416416/23533438303 (*.f64 z -23298017199368982832548000000000/13033352773350869092174451844127))))))
(+.f64 (.f64 (-.f64 (.f64 500000000/23533438303 z) (.f64 -156699607947000000000/553822718361107519809 z)) x) (+.f64 (.f64 -1 (.f64 (+.f64 49698921037/117667191515 (+.f64 (.f64 -21670001125700000000/553822718361107519809 z) (+.f64 (.f64 263505074721/47066876606 (-.f64 (.f64 500000000/23533438303 z) (.f64 -156699607947000000000/553822718361107519809 z))) (.f64 -156699607947/23533438303 (+.f64 137519416416/23533438303 (+.f64 (.f64 156699607947/23533438303 (-.f64 (.f64 500000000/23533438303 z) (.f64 -156699607947000000000/553822718361107519809 z))) (.f64 -131752537360500000000/553822718361107519809 z))))))) (pow.f64 x 3))) (+.f64 (.f64 -1 (.f64 (pow.f64 x 2) (+.f64 137519416416/23533438303 (+.f64 (.f64 -131752537360500000000/553822718361107519809 z) (.f64 156699607947/23533438303 (-.f64 (.f64 500000000/23533438303 z) (.f64 -156699607947000000000/553822718361107519809 z))))))) (*.f64 -1000000000/23533438303 z))))
(fma.f64 (.f64 z 168466327098500000000/553822718361107519809) x (fma.f64 -1 (.f64 (+.f64 49698921037/117667191515 (fma.f64 -21670001125700000000/553822718361107519809 z (fma.f64 263505074721/47066876606 (.f64 z 168466327098500000000/553822718361107519809) (+.f64 -21549238637487435857952/553822718361107519809 (.f64 (fma.f64 -131752537360500000000/553822718361107519809 z (.f64 (.f64 z 168466327098500000000/553822718361107519809) 156699607947/23533438303)) -156699607947/23533438303))))) (pow.f64 x 3)) (fma.f64 -1 (.f64 (.f64 x x) (+.f64 137519416416/23533438303 (fma.f64 -131752537360500000000/553822718361107519809 z (.f64 (.f64 z 168466327098500000000/553822718361107519809) 156699607947/23533438303)))) (*.f64 -1000000000/23533438303 z))))
(fma.f64 (.f64 z 168466327098500000000/553822718361107519809) x (-.f64 (-.f64 (.f64 -1000000000/23533438303 z) (.f64 (.f64 x x) (+.f64 137519416416/23533438303 (fma.f64 z -131752537360500000000/553822718361107519809 (.f64 z 26398607408606012051779500000000/13033352773350869092174451844127))))) (.f64 (+.f64 49698921037/117667191515 (fma.f64 z -21670001125700000000/553822718361107519809 (fma.f64 (+.f64 137519416416/23533438303 (fma.f64 z -131752537360500000000/553822718361107519809 (.f64 z 26398607408606012051779500000000/13033352773350869092174451844127))) -156699607947/23533438303 (.f64 z 22195866055031334813509250000000/13033352773350869092174451844127)))) (pow.f64 x 3))))
(-.f64 (fma.f64 -1000000000/23533438303 z (.f64 x (-.f64 (.f64 z 168466327098500000000/553822718361107519809) (.f64 x (+.f64 137519416416/23533438303 (.f64 z 23298017199368982832548000000000/13033352773350869092174451844127)))))) (.f64 (+.f64 (.f64 z 21685896420513733315822150000000/13033352773350869092174451844127) (+.f64 (.f64 -156699607947/23533438303 (.f64 z 23298017199368982832548000000000/13033352773350869092174451844127)) -106576606695487271009549/2769113591805537599045)) (pow.f64 x 3)))
(fma.f64 z (.f64 x 168466327098500000000/553822718361107519809) (fma.f64 -1000000000/23533438303 z (.f64 (.f64 x x) (fma.f64 x (-.f64 (.f64 z -21685896420513733315822150000000/13033352773350869092174451844127) (+.f64 (.f64 z -3650790161083582545652445151058956000000000/306719603372886620352117082586607327396481) -106576606695487271009549/2769113591805537599045)) (+.f64 -137519416416/23533438303 (.f64 z -23298017199368982832548000000000/13033352773350869092174451844127))))))
(*.f64 104109730557/25000000000 x)
(*.f64 x 104109730557/25000000000)
(-.f64 (*.f64 104109730557/25000000000 x) 13764240537310136880149/125000000000000000000)
(fma.f64 104109730557/25000000000 x -13764240537310136880149/125000000000000000000)
(fma.f64 x 104109730557/25000000000 -13764240537310136880149/125000000000000000000)
(-.f64 (+.f64 (.f64 104109730557/25000000000 x) (.f64 2284450290879775841688574159837293/625000000000000000000000000000 (/.f64 1 x))) 13764240537310136880149/125000000000000000000)
(+.f64 (fma.f64 104109730557/25000000000 x (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x)) -13764240537310136880149/125000000000000000000)
(+.f64 (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x) (fma.f64 x 104109730557/25000000000 -13764240537310136880149/125000000000000000000))
(+.f64 (fma.f64 x 104109730557/25000000000 -13764240537310136880149/125000000000000000000) (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x))
(-.f64 (+.f64 (.f64 104109730557/25000000000 x) (.f64 2284450290879775841688574159837293/625000000000000000000000000000 (/.f64 1 x))) (+.f64 (*.f64 26824193331114715095879543597281115202414660878336/204800000000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 2))) 13764240537310136880149/125000000000000000000))
(-.f64 (fma.f64 104109730557/25000000000 x (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x)) (+.f64 13764240537310136880149/125000000000000000000 (/.f64 409304707811198655637810418659684985388407301/3125000000000000000000000000000000000000 (*.f64 x x))))
(+.f64 (-.f64 (fma.f64 x 104109730557/25000000000 (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x)) (/.f64 409304707811198655637810418659684985388407301/3125000000000000000000000000000000000000 (*.f64 x x))) -13764240537310136880149/125000000000000000000)
(+.f64 (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x) (+.f64 (fma.f64 x 104109730557/25000000000 -13764240537310136880149/125000000000000000000) (/.f64 -409304707811198655637810418659684985388407301/3125000000000000000000000000000000000000 (*.f64 x x))))
(*.f64 104109730557/25000000000 x)
(*.f64 x 104109730557/25000000000)
(-.f64 (*.f64 104109730557/25000000000 x) 13764240537310136880149/125000000000000000000)
(fma.f64 104109730557/25000000000 x -13764240537310136880149/125000000000000000000)
(fma.f64 x 104109730557/25000000000 -13764240537310136880149/125000000000000000000)
(-.f64 (+.f64 (.f64 104109730557/25000000000 x) (.f64 2284450290879775841688574159837293/625000000000000000000000000000 (/.f64 1 x))) 13764240537310136880149/125000000000000000000)
(+.f64 (fma.f64 104109730557/25000000000 x (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x)) -13764240537310136880149/125000000000000000000)
(+.f64 (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x) (fma.f64 x 104109730557/25000000000 -13764240537310136880149/125000000000000000000))
(+.f64 (fma.f64 x 104109730557/25000000000 -13764240537310136880149/125000000000000000000) (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x))
(-.f64 (+.f64 (.f64 104109730557/25000000000 x) (.f64 2284450290879775841688574159837293/625000000000000000000000000000 (/.f64 1 x))) (+.f64 (*.f64 26824193331114715095879543597281115202414660878336/204800000000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 2))) 13764240537310136880149/125000000000000000000))
(-.f64 (fma.f64 104109730557/25000000000 x (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x)) (+.f64 13764240537310136880149/125000000000000000000 (/.f64 409304707811198655637810418659684985388407301/3125000000000000000000000000000000000000 (*.f64 x x))))
(+.f64 (-.f64 (fma.f64 x 104109730557/25000000000 (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x)) (/.f64 409304707811198655637810418659684985388407301/3125000000000000000000000000000000000000 (*.f64 x x))) -13764240537310136880149/125000000000000000000)
(+.f64 (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x) (+.f64 (fma.f64 x 104109730557/25000000000 -13764240537310136880149/125000000000000000000) (/.f64 -409304707811198655637810418659684985388407301/3125000000000000000000000000000000000000 (*.f64 x x))))
(/.f64 (.f64 (+.f64 4297481763/31250000 (.f64 (+.f64 393497462077/5000000000 (.f64 104109730557/25000000000 x)) x)) (.f64 (pow.f64 x 2) (-.f64 x 2))) (+.f64 23533438303/500000000 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 (*.f64 (+.f64 216700011257/5000000000 x) x) 263505074721/1000000000) x)) x)))
(/.f64 (.f64 (+.f64 4297481763/31250000 (.f64 x (+.f64 (.f64 x 104109730557/25000000000) 393497462077/5000000000))) (.f64 (.f64 x x) (+.f64 x -2))) (+.f64 23533438303/500000000 (.f64 x (+.f64 156699607947/500000000 (*.f64 x (fma.f64 (+.f64 x 216700011257/5000000000) x 263505074721/1000000000))))))
(/.f64 (.f64 (.f64 x x) (*.f64 (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) (+.f64 x -2))) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))
(.f64 (.f64 x (*.f64 x (+.f64 x -2))) (/.f64 (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))
(+.f64 (.f64 (-.f64 (/.f64 x (+.f64 23533438303/500000000 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 (.f64 (+.f64 216700011257/5000000000 x) x) 263505074721/1000000000) x)) x))) (.f64 2 (/.f64 1 (+.f64 23533438303/500000000 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 (.f64 (+.f64 216700011257/5000000000 x) x) 263505074721/1000000000) x)) x))))) z) (/.f64 (.f64 (+.f64 4297481763/31250000 (.f64 (+.f64 393497462077/5000000000 (.f64 104109730557/25000000000 x)) x)) (.f64 (-.f64 x 2) (pow.f64 x 2))) (+.f64 23533438303/500000000 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 (*.f64 (+.f64 216700011257/5000000000 x) x) 263505074721/1000000000) x)) x))))
(fma.f64 (-.f64 (/.f64 x (+.f64 23533438303/500000000 (.f64 x (+.f64 156699607947/500000000 (.f64 x (fma.f64 (+.f64 x 216700011257/5000000000) x 263505074721/1000000000)))))) (/.f64 2 (+.f64 23533438303/500000000 (.f64 x (+.f64 156699607947/500000000 (.f64 x (fma.f64 (+.f64 x 216700011257/5000000000) x 263505074721/1000000000))))))) z (/.f64 (.f64 (+.f64 4297481763/31250000 (.f64 x (+.f64 (.f64 x 104109730557/25000000000) 393497462077/5000000000))) (.f64 (.f64 x x) (+.f64 x -2))) (+.f64 23533438303/500000000 (.f64 x (+.f64 156699607947/500000000 (*.f64 x (fma.f64 (+.f64 x 216700011257/5000000000) x 263505074721/1000000000)))))))
(fma.f64 z (+.f64 (/.f64 x (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (/.f64 -2 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))) (/.f64 (.f64 (.f64 x x) (*.f64 (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) (+.f64 x -2))) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))
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(fma.f64 (-.f64 (/.f64 x (+.f64 23533438303/500000000 (.f64 x (+.f64 156699607947/500000000 (.f64 x (fma.f64 (+.f64 x 216700011257/5000000000) x 263505074721/1000000000)))))) (/.f64 2 (+.f64 23533438303/500000000 (.f64 x (+.f64 156699607947/500000000 (.f64 x (fma.f64 (+.f64 x 216700011257/5000000000) x 263505074721/1000000000))))))) z (/.f64 (.f64 (+.f64 4297481763/31250000 (.f64 x (+.f64 (.f64 x 104109730557/25000000000) 393497462077/5000000000))) (.f64 (.f64 x x) (+.f64 x -2))) (+.f64 23533438303/500000000 (.f64 x (+.f64 156699607947/500000000 (*.f64 x (fma.f64 (+.f64 x 216700011257/5000000000) x 263505074721/1000000000)))))))
(fma.f64 z (+.f64 (/.f64 x (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (/.f64 -2 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))) (/.f64 (.f64 (.f64 x x) (*.f64 (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) (+.f64 x -2))) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))
(fma.f64 z (+.f64 (/.f64 x (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (/.f64 -2 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))) (.f64 (.f64 x (*.f64 x (+.f64 x -2))) (/.f64 (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))))
(.f64 (+.f64 x -2) (+.f64 (/.f64 (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) (.f64 x x))) (/.f64 z (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))))
(+.f64 (/.f64 (.f64 (+.f64 4297481763/31250000 (.f64 (+.f64 393497462077/5000000000 (.f64 104109730557/25000000000 x)) x)) (.f64 (pow.f64 x 2) (-.f64 x 2))) (+.f64 23533438303/500000000 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 (.f64 (+.f64 216700011257/5000000000 x) x) 263505074721/1000000000) x)) x))) (/.f64 (.f64 z (-.f64 x 2)) (+.f64 23533438303/500000000 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 (*.f64 (+.f64 216700011257/5000000000 x) x) 263505074721/1000000000) x)) x))))
(fma.f64 (-.f64 (/.f64 x (+.f64 23533438303/500000000 (.f64 x (+.f64 156699607947/500000000 (.f64 x (fma.f64 (+.f64 x 216700011257/5000000000) x 263505074721/1000000000)))))) (/.f64 2 (+.f64 23533438303/500000000 (.f64 x (+.f64 156699607947/500000000 (.f64 x (fma.f64 (+.f64 x 216700011257/5000000000) x 263505074721/1000000000))))))) z (/.f64 (.f64 (+.f64 4297481763/31250000 (.f64 x (+.f64 (.f64 x 104109730557/25000000000) 393497462077/5000000000))) (.f64 (.f64 x x) (+.f64 x -2))) (+.f64 23533438303/500000000 (.f64 x (+.f64 156699607947/500000000 (*.f64 x (fma.f64 (+.f64 x 216700011257/5000000000) x 263505074721/1000000000)))))))
(fma.f64 z (+.f64 (/.f64 x (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (/.f64 -2 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))) (/.f64 (.f64 (.f64 x x) (*.f64 (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) (+.f64 x -2))) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))
(fma.f64 z (+.f64 (/.f64 x (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (/.f64 -2 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))) (.f64 (.f64 x (*.f64 x (+.f64 x -2))) (/.f64 (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))))
(.f64 (+.f64 x -2) (+.f64 (/.f64 (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) (.f64 x x))) (/.f64 z (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))))
(+.f64 (/.f64 (.f64 (+.f64 4297481763/31250000 (.f64 (+.f64 393497462077/5000000000 (.f64 104109730557/25000000000 x)) x)) (.f64 (pow.f64 x 2) (-.f64 x 2))) (+.f64 23533438303/500000000 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 (.f64 (+.f64 216700011257/5000000000 x) x) 263505074721/1000000000) x)) x))) (/.f64 (.f64 z (-.f64 x 2)) (+.f64 23533438303/500000000 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 (*.f64 (+.f64 216700011257/5000000000 x) x) 263505074721/1000000000) x)) x))))
(fma.f64 (-.f64 (/.f64 x (+.f64 23533438303/500000000 (.f64 x (+.f64 156699607947/500000000 (.f64 x (fma.f64 (+.f64 x 216700011257/5000000000) x 263505074721/1000000000)))))) (/.f64 2 (+.f64 23533438303/500000000 (.f64 x (+.f64 156699607947/500000000 (.f64 x (fma.f64 (+.f64 x 216700011257/5000000000) x 263505074721/1000000000))))))) z (/.f64 (.f64 (+.f64 4297481763/31250000 (.f64 x (+.f64 (.f64 x 104109730557/25000000000) 393497462077/5000000000))) (.f64 (.f64 x x) (+.f64 x -2))) (+.f64 23533438303/500000000 (.f64 x (+.f64 156699607947/500000000 (*.f64 x (fma.f64 (+.f64 x 216700011257/5000000000) x 263505074721/1000000000)))))))
(fma.f64 z (+.f64 (/.f64 x (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (/.f64 -2 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))) (/.f64 (.f64 (.f64 x x) (*.f64 (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) (+.f64 x -2))) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))
(fma.f64 z (+.f64 (/.f64 x (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (/.f64 -2 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))) (.f64 (.f64 x (*.f64 x (+.f64 x -2))) (/.f64 (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))))
(.f64 (+.f64 x -2) (+.f64 (/.f64 (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) (.f64 x x))) (/.f64 z (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))))
(*.f64 4297481763/31250000 (pow.f64 x 2))
(.f64 (.f64 x x) 4297481763/31250000)
(.f64 x (.f64 x 4297481763/31250000))
(+.f64 (.f64 4297481763/31250000 (pow.f64 x 2)) (.f64 393497462077/5000000000 (pow.f64 x 3)))
(fma.f64 4297481763/31250000 (.f64 x x) (.f64 (pow.f64 x 3) 393497462077/5000000000))
(fma.f64 (.f64 x x) 4297481763/31250000 (.f64 (pow.f64 x 3) 393497462077/5000000000))
(.f64 (.f64 x x) (+.f64 4297481763/31250000 (*.f64 x 393497462077/5000000000)))
(.f64 x (.f64 x (+.f64 4297481763/31250000 (*.f64 x 393497462077/5000000000))))
(+.f64 (.f64 104109730557/25000000000 (pow.f64 x 4)) (+.f64 (.f64 4297481763/31250000 (pow.f64 x 2)) (*.f64 393497462077/5000000000 (pow.f64 x 3))))
(fma.f64 104109730557/25000000000 (pow.f64 x 4) (fma.f64 4297481763/31250000 (.f64 x x) (.f64 (pow.f64 x 3) 393497462077/5000000000)))
(fma.f64 104109730557/25000000000 (pow.f64 x 4) (fma.f64 (.f64 x x) 4297481763/31250000 (.f64 (pow.f64 x 3) 393497462077/5000000000)))
(.f64 (.f64 x x) (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000))
(.f64 x (.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000)))
(+.f64 (.f64 104109730557/25000000000 (pow.f64 x 4)) (+.f64 (.f64 4297481763/31250000 (pow.f64 x 2)) (*.f64 393497462077/5000000000 (pow.f64 x 3))))
(fma.f64 104109730557/25000000000 (pow.f64 x 4) (fma.f64 4297481763/31250000 (.f64 x x) (.f64 (pow.f64 x 3) 393497462077/5000000000)))
(fma.f64 104109730557/25000000000 (pow.f64 x 4) (fma.f64 (.f64 x x) 4297481763/31250000 (.f64 (pow.f64 x 3) 393497462077/5000000000)))
(.f64 (.f64 x x) (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000))
(.f64 x (.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000)))
(*.f64 104109730557/25000000000 (pow.f64 x 4))
(+.f64 (.f64 104109730557/25000000000 (pow.f64 x 4)) (.f64 393497462077/5000000000 (pow.f64 x 3)))
(fma.f64 104109730557/25000000000 (pow.f64 x 4) (*.f64 (pow.f64 x 3) 393497462077/5000000000))
(fma.f64 (pow.f64 x 3) 393497462077/5000000000 (*.f64 104109730557/25000000000 (pow.f64 x 4)))
(.f64 (.f64 x x) (*.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000)))
(*.f64 (pow.f64 x 3) (fma.f64 x 104109730557/25000000000 393497462077/5000000000))
(+.f64 (.f64 104109730557/25000000000 (pow.f64 x 4)) (+.f64 (.f64 4297481763/31250000 (pow.f64 x 2)) (*.f64 393497462077/5000000000 (pow.f64 x 3))))
(fma.f64 104109730557/25000000000 (pow.f64 x 4) (fma.f64 4297481763/31250000 (.f64 x x) (.f64 (pow.f64 x 3) 393497462077/5000000000)))
(fma.f64 104109730557/25000000000 (pow.f64 x 4) (fma.f64 (.f64 x x) 4297481763/31250000 (.f64 (pow.f64 x 3) 393497462077/5000000000)))
(.f64 (.f64 x x) (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000))
(.f64 x (.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000)))
(+.f64 (.f64 104109730557/25000000000 (pow.f64 x 4)) (+.f64 (.f64 4297481763/31250000 (pow.f64 x 2)) (*.f64 393497462077/5000000000 (pow.f64 x 3))))
(fma.f64 104109730557/25000000000 (pow.f64 x 4) (fma.f64 4297481763/31250000 (.f64 x x) (.f64 (pow.f64 x 3) 393497462077/5000000000)))
(fma.f64 104109730557/25000000000 (pow.f64 x 4) (fma.f64 (.f64 x x) 4297481763/31250000 (.f64 (pow.f64 x 3) 393497462077/5000000000)))
(.f64 (.f64 x x) (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000))
(.f64 x (.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000)))
(*.f64 104109730557/25000000000 (pow.f64 x 4))
(+.f64 (.f64 104109730557/25000000000 (pow.f64 x 4)) (.f64 393497462077/5000000000 (pow.f64 x 3)))
(fma.f64 104109730557/25000000000 (pow.f64 x 4) (*.f64 (pow.f64 x 3) 393497462077/5000000000))
(fma.f64 (pow.f64 x 3) 393497462077/5000000000 (*.f64 104109730557/25000000000 (pow.f64 x 4)))
(.f64 (.f64 x x) (*.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000)))
(*.f64 (pow.f64 x 3) (fma.f64 x 104109730557/25000000000 393497462077/5000000000))
(+.f64 (.f64 104109730557/25000000000 (pow.f64 x 4)) (+.f64 (.f64 4297481763/31250000 (pow.f64 x 2)) (*.f64 393497462077/5000000000 (pow.f64 x 3))))
(fma.f64 104109730557/25000000000 (pow.f64 x 4) (fma.f64 4297481763/31250000 (.f64 x x) (.f64 (pow.f64 x 3) 393497462077/5000000000)))
(fma.f64 104109730557/25000000000 (pow.f64 x 4) (fma.f64 (.f64 x x) 4297481763/31250000 (.f64 (pow.f64 x 3) 393497462077/5000000000)))
(.f64 (.f64 x x) (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000))
(.f64 x (.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000)))
(+.f64 (.f64 104109730557/25000000000 (pow.f64 x 4)) (+.f64 (.f64 4297481763/31250000 (pow.f64 x 2)) (*.f64 393497462077/5000000000 (pow.f64 x 3))))
(fma.f64 104109730557/25000000000 (pow.f64 x 4) (fma.f64 4297481763/31250000 (.f64 x x) (.f64 (pow.f64 x 3) 393497462077/5000000000)))
(fma.f64 104109730557/25000000000 (pow.f64 x 4) (fma.f64 (.f64 x x) 4297481763/31250000 (.f64 (pow.f64 x 3) 393497462077/5000000000)))
(.f64 (.f64 x x) (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000))
(.f64 x (.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000)))

eval691.0ms (2.2%)

Compiler: Compiled 17118 to 12360 computations (27.8% saved)

prune249.0ms (0.8%)

Pruning

52 alts after pruning (48 fresh and 4 done)

	Pruned	Kept	Total
New	642	22	664
Fresh	12	26	38
Picked	1	0	1
Done	3	4	7
Total	658	52	710

Error

Counts

710 → 52

Alt Table

Click to see full alt table

Status	Error	Program
	31.6b	(/.f64 (.f64 (-.f64 x 2) (+.f64 (.f64 (+.f64 (sqrt.f64 (.f64 18468349503317588169/976562500000000 (.f64 x x))) y) x) z)) (+.f64 (.f64 (+.f64 (.f64 x 263505074721/1000000000) 156699607947/500000000) x) 23533438303/500000000))
✓	41.5b	(/.f64 (.f64 z (-.f64 x 2)) (+.f64 (.f64 x 156699607947/500000000) 23533438303/500000000))
	39.4b	(/.f64 (.f64 (+.f64 (.f64 4297481763/31250000 (pow.f64 x 2)) z) (-.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000))
	49.3b	(.f64 (+.f64 x -2) (+.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (/.f64 (+.f64 (.f64 (/.f64 (+.f64 y -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000) (.f64 x x)) (.f64 x (neg.f64 x))) (.f64 x -2157218858562374472887084159837293/625000000000000000000000000000)) (.f64 x (*.f64 x (neg.f64 x))))))
	53.6b	(.f64 y (.f64 x -1000000000/23533438303))
	62.1b	(/.f64 4297481763/31250000 x)
	52.9b	(/.f64 (.f64 y (.f64 (-.f64 x 2) x)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 x 216700011257/5000000000) (*.f64 x x))) x) 23533438303/500000000))
	50.9b	(/.f64 (*.f64 (fma.f64 x x -4) (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x))) (+.f64 x 2))
	51.7b	(/.f64 (.f64 (fma.f64 x x -4) (-.f64 1128428295162862690821234941118693/15625000000000000000000000000000 (.f64 (pow.f64 x -3) 2059601734647409189681626961129620613782216990037768112413421947949/1953125000000000000000000000000000000000000000000000000000000))) (*.f64 (+.f64 x 2) (fma.f64 (/.f64 12723143231740136880149/125000000000000000000 x) (+.f64 (/.f64 12723143231740136880149/125000000000000000000 x) 104109730557/25000000000) 10838835996651139530249/625000000000000000000)))
	53.6b	(.f64 -1000000000/23533438303 (.f64 y x))
	41.3b	(.f64 z (+.f64 -1000000000/23533438303 (.f64 x 168466327098500000000/553822718361107519809)))
	39.6b	(+.f64 (.f64 (-.f64 (.f64 500000000/23533438303 z) (.f64 -156699607947000000000/553822718361107519809 z)) x) (+.f64 (.f64 -1 (.f64 (pow.f64 x 2) (+.f64 137519416416/23533438303 (+.f64 (.f64 -131752537360500000000/553822718361107519809 z) (.f64 156699607947/23533438303 (-.f64 (.f64 500000000/23533438303 z) (.f64 -156699607947000000000/553822718361107519809 z))))))) (.f64 -1000000000/23533438303 z)))
	51.4b	(-.f64 (/.f64 (-.f64 (.f64 5218713131500692454134920189872459795927520118072459928324233567849/390625000000000000000000000000000000000000000000000000000000 (pow.f64 x -2)) (.f64 10838835996651139530249/625000000000000000000 (.f64 x x))) (-.f64 (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x) (.f64 104109730557/25000000000 x))) 13764240537310136880149/125000000000000000000)
	41.5b	(/.f64 (.f64 z (-.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 x 216700011257/5000000000) (.f64 x x))) x) 23533438303/500000000))
	41.4b	(/.f64 (*.f64 z (-.f64 x 2)) 23533438303/500000000)
	56.2b	(-.f64 (+.f64 (sqrt.f64 (.f64 10838835996651139530249/625000000000000000000 (.f64 x x))) (*.f64 2284450290879775841688574159837293/625000000000000000000000000000 (/.f64 1 x))) 13764240537310136880149/125000000000000000000)
	35.2b	(-.f64 (+.f64 (*.f64 104109730557/25000000000 x) (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x)) 13764240537310136880149/125000000000000000000)
	51.5b	(.f64 (/.f64 y (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (.f64 x (+.f64 x -2)))
	34.9b	(-.f64 (*.f64 104109730557/25000000000 x) 13764240537310136880149/125000000000000000000)
	40.9b	(.f64 (+.f64 x -2) (/.f64 z (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)))
	35.6b	(.f64 (+.f64 x -2) (+.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (.f64 x x))))
	35.8b	(.f64 (+.f64 x -2) (+.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (.f64 x x)) (*.f64 (/.f64 1 x) (/.f64 (/.f64 -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 x) x)))))
	35.9b	(*.f64 (fma.f64 (pow.f64 x -3) -2059601734647409189681626961129620613782216990037768112413421947949/1953125000000000000000000000000000000000000000000000000000000 1128428295162862690821234941118693/15625000000000000000000000000000) (/.f64 1 (/.f64 (fma.f64 (/.f64 12723143231740136880149/125000000000000000000 x) (+.f64 (/.f64 12723143231740136880149/125000000000000000000 x) 104109730557/25000000000) 10838835996651139530249/625000000000000000000) (+.f64 x -2))))
	58.4b	(/.f64 (.f64 (+.f64 4297481763/31250000 (.f64 (+.f64 393497462077/5000000000 (.f64 104109730557/25000000000 x)) x)) (.f64 (pow.f64 x 2) (-.f64 x 2))) (+.f64 23533438303/500000000 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 (*.f64 (+.f64 216700011257/5000000000 x) x) 263505074721/1000000000) x)) x)))
	33.0b	(+.f64 (.f64 (-.f64 (.f64 500000000/23533438303 (+.f64 (.f64 -2 y) z)) (.f64 -156699607947000000000/553822718361107519809 z)) x) (*.f64 -1000000000/23533438303 z))
	61.1b	(/.f64 y (*.f64 x x))
	62.1b	(/.f64 12723143231740136880149/62500000000000000000 x)
	53.7b	(/.f64 (.f64 y (.f64 (-.f64 x 2) x)) (+.f64 (*.f64 x 156699607947/500000000) 23533438303/500000000))
	52.6b	(/.f64 (.f64 y (.f64 (-.f64 x 2) x)) (+.f64 (.f64 (+.f64 156699607947/500000000 (/.f64 (.f64 (-.f64 69434924403719793227841/1000000000000000000 (pow.f64 (.f64 x (+.f64 x 216700011257/5000000000)) 2)) x) (-.f64 263505074721/1000000000 (.f64 x (+.f64 x 216700011257/5000000000))))) x) 23533438303/500000000))
	51.4b	(-.f64 (/.f64 1 (/.f64 (-.f64 (.f64 104109730557/25000000000 x) (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x)) (-.f64 (.f64 10838835996651139530249/625000000000000000000 (.f64 x x)) (.f64 5218713131500692454134920189872459795927520118072459928324233567849/390625000000000000000000000000000000000000000000000000000000 (pow.f64 x -2))))) 13764240537310136880149/125000000000000000000)
	62.6b	(+.f64 (.f64 z 500000000/156699607947) (.f64 (/.f64 z x) (+.f64 -168466327098500000000/24554767130743505554809 (/.f64 3964591914905566753845500000000/3847722382617389411054987020467123 x))))
	34.0b	(.f64 (+.f64 x -2) (+.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (.f64 x x)) (.f64 (/.f64 1 x) (.f64 (/.f64 (+.f64 y -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000) x) (/.f64 1 x))))))
	29.4b	(/.f64 (.f64 (-.f64 x 2) (+.f64 (.f64 (+.f64 (.f64 (pow.f64 18468349503317588169/976562500000000 1/2) x) y) x) z)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 x 216700011257/5000000000) x) 263505074721/1000000000) x) 156699607947/500000000) x) 23533438303/500000000))
	62.5b	(/.f64 -4297481763/31250000 x)
	53.6b	(/.f64 (.f64 y (.f64 (-.f64 x 2) x)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 x 263505074721/1000000000)) x) 23533438303/500000000))
	47.0b	(.f64 (+.f64 x -2) (/.f64 (.f64 (+.f64 (.f64 (+.f64 4297481763/31250000 (.f64 (+.f64 393497462077/5000000000 (.f64 104109730557/25000000000 x)) x)) x) y) x) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)))
	34.9b	(*.f64 (+.f64 x -2) 104109730557/25000000000)
	30.9b	(/.f64 (.f64 (-.f64 x 2) (+.f64 (.f64 (+.f64 (.f64 x 4297481763/31250000) y) x) z)) (+.f64 (.f64 x 156699607947/500000000) 23533438303/500000000))
	35.4b	(pow.f64 (cbrt.f64 (*.f64 x 104109730557/25000000000)) 3)
	62.1b	(-.f64 (+.f64 (.f64 -1000000000/156699607947 (/.f64 z x)) (.f64 500000000/156699607947 z)) (*.f64 11766719151500000000/24554767130743505554809 (/.f64 z x)))
	53.6b	(/.f64 (.f64 y (.f64 (-.f64 x 2) x)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 x (+.f64 263505074721/1000000000 (*.f64 x 216700011257/5000000000)))) x) 23533438303/500000000))
	52.1b	(.f64 (+.f64 x -2) (/.f64 (.f64 y x) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)))
	36.2b	(/.f64 (.f64 (-.f64 1128428295162862690821234941118693/15625000000000000000000000000000 (.f64 (pow.f64 x -3) 2059601734647409189681626961129620613782216990037768112413421947949/1953125000000000000000000000000000000000000000000000000000000)) (+.f64 x -2)) 10838835996651139530249/625000000000000000000)
	35.6b	(/.f64 (.f64 (-.f64 10838835996651139530249/625000000000000000000 (.f64 (pow.f64 x -2) 161878373695374854434910217844194695190262201/15625000000000000000000000000000000000000)) (+.f64 x -2)) (+.f64 (/.f64 12723143231740136880149/125000000000000000000 x) 104109730557/25000000000))
✓	41.4b	(*.f64 z -1000000000/23533438303)
	33.8b	(.f64 (+.f64 x -2) (+.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (.f64 x x)) (.f64 (/.f64 1 x) (/.f64 y (.f64 x x))))))
	53.8b	(.f64 y (+.f64 (.f64 x -1000000000/23533438303) (.f64 (.f64 x x) 168466327098500000000/553822718361107519809)))
	36.2b	(/.f64 (.f64 (-.f64 1128428295162862690821234941118693/15625000000000000000000000000000 (.f64 (pow.f64 x -3) 2059601734647409189681626961129620613782216990037768112413421947949/1953125000000000000000000000000000000000000000000000000000000)) (+.f64 x -2)) (exp.f64 (log.f64 (fma.f64 (/.f64 12723143231740136880149/125000000000000000000 x) (+.f64 (/.f64 12723143231740136880149/125000000000000000000 x) 104109730557/25000000000) 10838835996651139530249/625000000000000000000))))
✓	35.0b	(*.f64 x 104109730557/25000000000)
	35.8b	(*.f64 (/.f64 (fma.f64 (pow.f64 x -3) -2059601734647409189681626961129620613782216990037768112413421947949/1953125000000000000000000000000000000000000000000000000000000 1128428295162862690821234941118693/15625000000000000000000000000000) (/.f64 (fma.f64 (/.f64 12723143231740136880149/125000000000000000000 x) (+.f64 (/.f64 12723143231740136880149/125000000000000000000 x) 104109730557/25000000000) 10838835996651139530249/625000000000000000000) (+.f64 x -2))) 1)
	41.4b	(/.f64 (.f64 z (-.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (*.f64 x 263505074721/1000000000)) x) 23533438303/500000000))
✓	62.3b	(*.f64 z 500000000/156699607947)

Compiler

Compiled 1030 to 788 computations (23.5% saved)

regimes1.6s (5.1%)

Counts

100 → 3

Calls

Call 1

Inputs
(/.f64 4297481763/31250000 x)
(/.f64 -4297481763/31250000 x)
(/.f64 4297481763/31250000 x)
(*.f64 z 500000000/156699607947)
(/.f64 12723143231740136880149/62500000000000000000 x)
(*.f64 z -1000000000/23533438303)
(*.f64 x 104109730557/25000000000)
(.f64 y (.f64 x -1000000000/23533438303))
(.f64 -1000000000/23533438303 (.f64 y x))
(/.f64 y (*.f64 x x))
(-.f64 (*.f64 104109730557/25000000000 x) 13764240537310136880149/125000000000000000000)
(+.f64 (/.f64 12723143231740136880149/62500000000000000000 x) -13764240537310136880149/125000000000000000000)
(-.f64 (*.f64 104109730557/25000000000 x) 13764240537310136880149/125000000000000000000)
(*.f64 (+.f64 x -2) 104109730557/25000000000)
(-.f64 (*.f64 104109730557/25000000000 x) 13764240537310136880149/125000000000000000000)
(.f64 z (+.f64 -1000000000/23533438303 (.f64 x 168466327098500000000/553822718361107519809)))
(/.f64 (*.f64 z (-.f64 x 2)) 23533438303/500000000)
(-.f64 (*.f64 12723143231740136880149/62500000000000000000 (/.f64 1 x)) 13764240537310136880149/125000000000000000000)
(.f64 z (+.f64 -1000000000/23533438303 (.f64 x 168466327098500000000/553822718361107519809)))
(.f64 (+.f64 x -2) (.f64 500000000/23533438303 z))
(-.f64 (+.f64 (*.f64 104109730557/25000000000 x) (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x)) 13764240537310136880149/125000000000000000000)
(*.f64 (+.f64 x -2) (-.f64 104109730557/25000000000 (/.f64 12723143231740136880149/125000000000000000000 x)))
(*.f64 (+.f64 x -2) (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)))
(.f64 y (+.f64 (.f64 x -1000000000/23533438303) (.f64 (.f64 x x) 168466327098500000000/553822718361107519809)))
(-.f64 (+.f64 (.f64 104109730557/25000000000 x) (.f64 2284450290879775841688574159837293/625000000000000000000000000000 (/.f64 1 x))) 13764240537310136880149/125000000000000000000)
(+.f64 (/.f64 4297481763/31250000 x) (/.f64 (+.f64 y -974239164048852206091/156250000000000000) (*.f64 x x)))
(/.f64 (.f64 z (-.f64 x 2)) (+.f64 (.f64 x 156699607947/500000000) 23533438303/500000000))
(-.f64 (+.f64 (.f64 104109730557/25000000000 x) (.f64 2284450290879775841688574159837293/625000000000000000000000000000 (/.f64 1 x))) 13764240537310136880149/125000000000000000000)
(.f64 (+.f64 x -2) (-.f64 104109730557/25000000000 (.f64 12723143231740136880149/125000000000000000000 (/.f64 1 x))))
(/.f64 (.f64 y (.f64 (-.f64 x 2) x)) (+.f64 (*.f64 x 156699607947/500000000) 23533438303/500000000))
(+.f64 (.f64 z 500000000/156699607947) (.f64 (/.f64 z x) (+.f64 -168466327098500000000/24554767130743505554809 (/.f64 3964591914905566753845500000000/3847722382617389411054987020467123 x))))
(+.f64 (.f64 (-.f64 (.f64 500000000/23533438303 z) (.f64 -156699607947000000000/553822718361107519809 z)) x) (.f64 -1000000000/23533438303 z))
(-.f64 (+.f64 (.f64 -1000000000/156699607947 (/.f64 z x)) (.f64 500000000/156699607947 z)) (*.f64 11766719151500000000/24554767130743505554809 (/.f64 z x)))
(/.f64 (.f64 z (-.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (*.f64 x 263505074721/1000000000)) x) 23533438303/500000000))
(.f64 (+.f64 x -2) (+.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (.f64 x x))))
(+.f64 (.f64 (-.f64 (.f64 500000000/23533438303 (+.f64 (.f64 -2 y) z)) (.f64 -156699607947000000000/553822718361107519809 z)) x) (*.f64 -1000000000/23533438303 z))
(/.f64 (.f64 y (.f64 (-.f64 x 2) x)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 x 263505074721/1000000000)) x) 23533438303/500000000))
(+.f64 (.f64 (-.f64 (.f64 500000000/23533438303 (+.f64 (.f64 -2 y) z)) (.f64 -156699607947000000000/553822718361107519809 z)) x) (*.f64 -1000000000/23533438303 z))
(.f64 (+.f64 x -2) (+.f64 (.f64 500000000/23533438303 z) (.f64 (-.f64 (.f64 500000000/23533438303 y) (*.f64 78349803973500000000/553822718361107519809 z)) x)))
(+.f64 (.f64 (-.f64 (.f64 500000000/23533438303 (+.f64 (.f64 -2 y) z)) (.f64 -156699607947000000000/553822718361107519809 z)) x) (*.f64 -1000000000/23533438303 z))
(/.f64 (.f64 (-.f64 x 2) (+.f64 (.f64 (+.f64 (.f64 x 4297481763/31250000) y) x) z)) (+.f64 (.f64 x 156699607947/500000000) 23533438303/500000000))
(/.f64 (.f64 z (-.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 x 216700011257/5000000000) (.f64 x x))) x) 23533438303/500000000))
(/.f64 (.f64 y (.f64 (-.f64 x 2) x)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 x 216700011257/5000000000) (*.f64 x x))) x) 23533438303/500000000))
(/.f64 (.f64 y (.f64 (-.f64 x 2) x)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 x (+.f64 263505074721/1000000000 (*.f64 x 216700011257/5000000000)))) x) 23533438303/500000000))
(.f64 (+.f64 x -2) (/.f64 z (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)))
(/.f64 (.f64 z (-.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000))
(/.f64 (.f64 y (.f64 (-.f64 x 2) x)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000))
(.f64 (+.f64 x -2) (/.f64 (.f64 y x) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)))
(.f64 (+.f64 x -2) (+.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (.f64 x x)) (*.f64 (/.f64 1 x) (/.f64 (/.f64 -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 x) x)))))
(.f64 (+.f64 x -2) (+.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (.f64 x x)) (.f64 (/.f64 1 x) (/.f64 y (.f64 x x))))))
(.f64 (+.f64 x -2) (+.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (.f64 x x)) (.f64 (/.f64 1 x) (/.f64 (+.f64 y -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000) (.f64 x x))))))
(.f64 (+.f64 x -2) (+.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (.f64 x x)) (.f64 (/.f64 1 x) (.f64 (/.f64 (+.f64 y -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000) x) (/.f64 1 x))))))
(/.f64 (.f64 (-.f64 x 2) (+.f64 (.f64 (+.f64 (.f64 x 4297481763/31250000) y) x) z)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 x 216700011257/5000000000) x) 263505074721/1000000000) x) 156699607947/500000000) x) 23533438303/500000000))
(.f64 (+.f64 x -2) (+.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (/.f64 (+.f64 (.f64 (/.f64 (+.f64 y -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000) (.f64 x x)) (.f64 x (neg.f64 x))) (.f64 x -2157218858562374472887084159837293/625000000000000000000000000000)) (.f64 x (*.f64 x (neg.f64 x))))))
(.f64 (+.f64 x -2) (/.f64 (.f64 (+.f64 (.f64 (+.f64 4297481763/31250000 (.f64 (+.f64 393497462077/5000000000 (.f64 104109730557/25000000000 x)) x)) x) y) x) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)))
(/.f64 (.f64 (-.f64 x 2) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x 104109730557/25000000000) 393497462077/5000000000) x) 4297481763/31250000) x) y) x) z)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 x 216700011257/5000000000) x) 263505074721/1000000000) x) 156699607947/500000000) x) 23533438303/500000000))
(*.f64 y (/.f64 (+.f64 x -2) (pow.f64 x 3)))
(/.f64 (.f64 (-.f64 1128428295162862690821234941118693/15625000000000000000000000000000 (.f64 (pow.f64 x -3) 2059601734647409189681626961129620613782216990037768112413421947949/1953125000000000000000000000000000000000000000000000000000000)) (+.f64 x -2)) 10838835996651139530249/625000000000000000000)
(-.f64 (+.f64 (sqrt.f64 (.f64 10838835996651139530249/625000000000000000000 (.f64 x x))) (*.f64 2284450290879775841688574159837293/625000000000000000000000000000 (/.f64 1 x))) 13764240537310136880149/125000000000000000000)
(/.f64 (*.f64 (fma.f64 x x -4) (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x))) (+.f64 x 2))
(*.f64 (+.f64 x -2) (+.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (/.f64 y (pow.f64 x 3))))
(+.f64 (fma.f64 x 104109730557/25000000000 -13764240537310136880149/125000000000000000000) (+.f64 (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x) (/.f64 (/.f64 (+.f64 y -409304707811198655637810418659684985388407301/3125000000000000000000000000000000000000) x) x)))
(*.f64 (+.f64 x -2) (/.f64 (-.f64 10838835996651139530249/625000000000000000000 (pow.f64 (/.f64 -12723143231740136880149/125000000000000000000 x) 2)) (-.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x))))
(/.f64 (.f64 (-.f64 10838835996651139530249/625000000000000000000 (.f64 (pow.f64 x -2) 161878373695374854434910217844194695190262201/15625000000000000000000000000000000000000)) (+.f64 x -2)) (+.f64 (/.f64 12723143231740136880149/125000000000000000000 x) 104109730557/25000000000))
(-.f64 (/.f64 (-.f64 (.f64 5218713131500692454134920189872459795927520118072459928324233567849/390625000000000000000000000000000000000000000000000000000000 (pow.f64 x -2)) (.f64 10838835996651139530249/625000000000000000000 (.f64 x x))) (-.f64 (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x) (.f64 104109730557/25000000000 x))) 13764240537310136880149/125000000000000000000)
(-.f64 (/.f64 1 (/.f64 (-.f64 (.f64 104109730557/25000000000 x) (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x)) (-.f64 (.f64 10838835996651139530249/625000000000000000000 (.f64 x x)) (.f64 5218713131500692454134920189872459795927520118072459928324233567849/390625000000000000000000000000000000000000000000000000000000 (pow.f64 x -2))))) 13764240537310136880149/125000000000000000000)
(.f64 (+.f64 x -2) (+.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (.f64 x x)) (/.f64 (+.f64 y -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000) (pow.f64 x 3)))))
(/.f64 (.f64 (-.f64 x 2) (+.f64 (.f64 (+.f64 (sqrt.f64 (.f64 18468349503317588169/976562500000000 (.f64 x x))) y) x) z)) (+.f64 (.f64 (+.f64 (.f64 x 263505074721/1000000000) 156699607947/500000000) x) 23533438303/500000000))
(/.f64 (.f64 (+.f64 (.f64 4297481763/31250000 (pow.f64 x 2)) z) (-.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000))
(/.f64 (.f64 (+.f64 (.f64 4297481763/31250000 (pow.f64 x 2)) z) (-.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000))
(/.f64 (.f64 (-.f64 x 2) (+.f64 (.f64 (+.f64 (.f64 (pow.f64 18468349503317588169/976562500000000 1/2) x) y) x) z)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 x 216700011257/5000000000) x) 263505074721/1000000000) x) 156699607947/500000000) x) 23533438303/500000000))
(/.f64 (.f64 (-.f64 x 2) (+.f64 (.f64 (+.f64 (sqrt.f64 (.f64 18468349503317588169/976562500000000 (.f64 x x))) y) x) z)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 (+.f64 x 216700011257/5000000000) x) 263505074721/1000000000) x) 156699607947/500000000) x) 23533438303/500000000))
(/.f64 (.f64 (+.f64 4297481763/31250000 (.f64 (+.f64 393497462077/5000000000 (.f64 104109730557/25000000000 x)) x)) (.f64 (pow.f64 x 2) (-.f64 x 2))) (+.f64 23533438303/500000000 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 (*.f64 (+.f64 216700011257/5000000000 x) x) 263505074721/1000000000) x)) x)))
(/.f64 (.f64 y (.f64 (-.f64 x 2) x)) (+.f64 (.f64 (+.f64 156699607947/500000000 (/.f64 (.f64 (-.f64 69434924403719793227841/1000000000000000000 (pow.f64 (.f64 x (+.f64 x 216700011257/5000000000)) 2)) x) (-.f64 263505074721/1000000000 (.f64 x (+.f64 x 216700011257/5000000000))))) x) 23533438303/500000000))
(+.f64 (.f64 (-.f64 (.f64 500000000/23533438303 z) (.f64 -156699607947000000000/553822718361107519809 z)) x) (+.f64 (.f64 -1 (.f64 (pow.f64 x 2) (+.f64 137519416416/23533438303 (+.f64 (.f64 -131752537360500000000/553822718361107519809 z) (.f64 156699607947/23533438303 (-.f64 (.f64 500000000/23533438303 z) (.f64 -156699607947000000000/553822718361107519809 z))))))) (.f64 -1000000000/23533438303 z)))
(/.f64 (.f64 (+.f64 (.f64 (+.f64 4297481763/31250000 (.f64 (+.f64 393497462077/5000000000 (.f64 104109730557/25000000000 x)) x)) (pow.f64 x 2)) z) (-.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000))
(/.f64 (.f64 (+.f64 (.f64 (+.f64 4297481763/31250000 (.f64 (+.f64 393497462077/5000000000 (.f64 104109730557/25000000000 x)) x)) (pow.f64 x 2)) z) (-.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000))
(.f64 (+.f64 x -2) (+.f64 (.f64 (-.f64 68759708208/23533438303 (+.f64 (.f64 156699607947/23533438303 (-.f64 (.f64 500000000/23533438303 y) (.f64 78349803973500000000/553822718361107519809 z))) (.f64 65876268680250000000/553822718361107519809 z))) (pow.f64 x 2)) (+.f64 (.f64 500000000/23533438303 z) (.f64 (-.f64 (.f64 500000000/23533438303 y) (.f64 78349803973500000000/553822718361107519809 z)) x))))
(pow.f64 (cbrt.f64 (*.f64 x 104109730557/25000000000)) 3)
(/.f64 (.f64 (-.f64 1128428295162862690821234941118693/15625000000000000000000000000000 (.f64 (pow.f64 x -3) 2059601734647409189681626961129620613782216990037768112413421947949/1953125000000000000000000000000000000000000000000000000000000)) (+.f64 x -2)) (fma.f64 (/.f64 12723143231740136880149/125000000000000000000 x) (+.f64 (/.f64 12723143231740136880149/125000000000000000000 x) 104109730557/25000000000) 10838835996651139530249/625000000000000000000))
(/.f64 (.f64 (fma.f64 x x -4) (-.f64 10838835996651139530249/625000000000000000000 (.f64 (pow.f64 x -2) 161878373695374854434910217844194695190262201/15625000000000000000000000000000000000000))) (*.f64 (+.f64 x 2) (+.f64 (/.f64 12723143231740136880149/125000000000000000000 x) 104109730557/25000000000)))
(.f64 (+.f64 x -2) (+.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (.f64 x x)) (pow.f64 (/.f64 (cbrt.f64 (+.f64 y -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000)) x) 3))))
(.f64 (/.f64 y (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (.f64 x (+.f64 x -2)))
(.f64 (.f64 x (+.f64 x -2)) (/.f64 y (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))
(*.f64 (/.f64 (fma.f64 (pow.f64 x -3) -2059601734647409189681626961129620613782216990037768112413421947949/1953125000000000000000000000000000000000000000000000000000000 1128428295162862690821234941118693/15625000000000000000000000000000) (/.f64 (fma.f64 (/.f64 12723143231740136880149/125000000000000000000 x) (+.f64 (/.f64 12723143231740136880149/125000000000000000000 x) 104109730557/25000000000) 10838835996651139530249/625000000000000000000) (+.f64 x -2))) 1)
(*.f64 (fma.f64 (pow.f64 x -3) -2059601734647409189681626961129620613782216990037768112413421947949/1953125000000000000000000000000000000000000000000000000000000 1128428295162862690821234941118693/15625000000000000000000000000000) (/.f64 1 (/.f64 (fma.f64 (/.f64 12723143231740136880149/125000000000000000000 x) (+.f64 (/.f64 12723143231740136880149/125000000000000000000 x) 104109730557/25000000000) 10838835996651139530249/625000000000000000000) (+.f64 x -2))))
(/.f64 (.f64 (fma.f64 x x -4) (-.f64 1128428295162862690821234941118693/15625000000000000000000000000000 (.f64 (pow.f64 x -3) 2059601734647409189681626961129620613782216990037768112413421947949/1953125000000000000000000000000000000000000000000000000000000))) (*.f64 (+.f64 x 2) (fma.f64 (/.f64 12723143231740136880149/125000000000000000000 x) (+.f64 (/.f64 12723143231740136880149/125000000000000000000 x) 104109730557/25000000000) 10838835996651139530249/625000000000000000000)))
(/.f64 (.f64 (-.f64 x 2) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x 104109730557/25000000000) 393497462077/5000000000) x) 4297481763/31250000) x) y) x) z)) (+.f64 (.f64 (+.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000))) 3) 156699607947/500000000) x) 23533438303/500000000))
(*.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z) 1) -1000000000/23533438303)
(/.f64 (.f64 (-.f64 1128428295162862690821234941118693/15625000000000000000000000000000 (.f64 (pow.f64 x -3) 2059601734647409189681626961129620613782216990037768112413421947949/1953125000000000000000000000000000000000000000000000000000000)) (+.f64 x -2)) (exp.f64 (log.f64 (fma.f64 (/.f64 12723143231740136880149/125000000000000000000 x) (+.f64 (/.f64 12723143231740136880149/125000000000000000000 x) 104109730557/25000000000) 10838835996651139530249/625000000000000000000))))
(/.f64 (/.f64 (.f64 (-.f64 1273350417324164762071560844863517433176460731042563158718314028249/244140625000000000000000000000000000000000000000000000000000000 (.f64 4241959305362616935770766253051655267491536547123751839045382672835405927686343173973861249041050479238479784057709711621945665306601/3814697265625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x -6))) (+.f64 x -2)) (fma.f64 (pow.f64 x -3) 2059601734647409189681626961129620613782216990037768112413421947949/1953125000000000000000000000000000000000000000000000000000000 1128428295162862690821234941118693/15625000000000000000000000000000)) (fma.f64 (/.f64 12723143231740136880149/125000000000000000000 x) (+.f64 (/.f64 12723143231740136880149/125000000000000000000 x) 104109730557/25000000000) 10838835996651139530249/625000000000000000000))
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) z) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) (+.f64 x -2)))
(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) 2) (pow.f64 (fma.f64 (+.f64 y -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000) (pow.f64 x -3) (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (.f64 x x))) 2)) (+.f64 x -2)) (-.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (fma.f64 (+.f64 y -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000) (pow.f64 x -3) (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (*.f64 x x)))))
(*.f64 (+.f64 x -2) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))
(*.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z) 1) (/.f64 (+.f64 x -2) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))
(/.f64 (.f64 (+.f64 (pow.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) 3) (pow.f64 (fma.f64 (+.f64 y -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000) (pow.f64 x -3) (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (.f64 x x))) 3)) (+.f64 x -2)) (+.f64 (pow.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) 2) (.f64 (fma.f64 (+.f64 y -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000) (pow.f64 x -3) (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (.f64 x x))) (-.f64 (fma.f64 (+.f64 y -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000) (pow.f64 x -3) (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (*.f64 x x))) (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x))))))
(/.f64 (.f64 (fma.f64 x x -4) (+.f64 (pow.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) 3) (pow.f64 (fma.f64 (+.f64 y -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000) (pow.f64 x -3) (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (.f64 x x))) 3))) (.f64 (+.f64 x 2) (+.f64 (pow.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) 2) (.f64 (fma.f64 (+.f64 y -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000) (pow.f64 x -3) (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (.f64 x x))) (-.f64 (fma.f64 (+.f64 y -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000) (pow.f64 x -3) (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (.f64 x x))) (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)))))))
(/.f64 (/.f64 (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z) (+.f64 x -2)) (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))) (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))
(*.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z) (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))) (/.f64 (+.f64 x -2) (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))))
(/.f64 (/.f64 (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z) (+.f64 x -2)) (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) 2)) (cbrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))

Outputs

(*.f64 (+.f64 x -2) (+.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (/.f64 y (pow.f64 x 3))))

(*.f64 (+.f64 x -2) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))

(*.f64 (+.f64 x -2) (+.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (*.f64 x x)) (*.f64 (/.f64 1 x) (*.f64 (/.f64 (+.f64 y -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000) x) (/.f64 1 x))))))

Calls

4 calls:

647.0ms	z
640.0ms	y
169.0ms	x
89.0ms	(/.f64 (.f64 (-.f64 x 2) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x 104109730557/25000000000) 393497462077/5000000000) x) 4297481763/31250000) x) y) x) z)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 x 216700011257/5000000000) x) 263505074721/1000000000) x) 156699607947/500000000) x) 23533438303/500000000))

Results

Error	Segments	Branch
0.3b	3	`x`
18.9b	10	`y`
18.1b	11	`z`
0.6b	2	`(/.f64 (.f64 (-.f64 x 2) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x 104109730557/25000000000) 393497462077/5000000000) x) 4297481763/31250000) x) y) x) z)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 x 216700011257/5000000000) x) 263505074721/1000000000) x) 156699607947/500000000) x) 23533438303/500000000))`

Compiler

Compiled 2060 to 1460 computations (29.1% saved)

bsearch82.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
39.0ms	65528137826899190.0	1.2000796671222883e+38
41.0ms	-5.9188107273650264e+26	-4.916838792355258e+25

Compiler

Compiled 46 to 34 computations (26.1% saved)

regimes1.5s (4.7%)

Counts

93 → 3

Calls

Call 1

Inputs
(/.f64 4297481763/31250000 x)
(/.f64 -4297481763/31250000 x)
(/.f64 4297481763/31250000 x)
(*.f64 z 500000000/156699607947)
(/.f64 12723143231740136880149/62500000000000000000 x)
(*.f64 z -1000000000/23533438303)
(*.f64 x 104109730557/25000000000)
(.f64 y (.f64 x -1000000000/23533438303))
(.f64 -1000000000/23533438303 (.f64 y x))
(/.f64 y (*.f64 x x))
(-.f64 (*.f64 104109730557/25000000000 x) 13764240537310136880149/125000000000000000000)
(+.f64 (/.f64 12723143231740136880149/62500000000000000000 x) -13764240537310136880149/125000000000000000000)
(-.f64 (*.f64 104109730557/25000000000 x) 13764240537310136880149/125000000000000000000)
(*.f64 (+.f64 x -2) 104109730557/25000000000)
(-.f64 (*.f64 104109730557/25000000000 x) 13764240537310136880149/125000000000000000000)
(.f64 z (+.f64 -1000000000/23533438303 (.f64 x 168466327098500000000/553822718361107519809)))
(/.f64 (*.f64 z (-.f64 x 2)) 23533438303/500000000)
(-.f64 (*.f64 12723143231740136880149/62500000000000000000 (/.f64 1 x)) 13764240537310136880149/125000000000000000000)
(.f64 z (+.f64 -1000000000/23533438303 (.f64 x 168466327098500000000/553822718361107519809)))
(.f64 (+.f64 x -2) (.f64 500000000/23533438303 z))
(-.f64 (+.f64 (*.f64 104109730557/25000000000 x) (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x)) 13764240537310136880149/125000000000000000000)
(*.f64 (+.f64 x -2) (-.f64 104109730557/25000000000 (/.f64 12723143231740136880149/125000000000000000000 x)))
(*.f64 (+.f64 x -2) (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)))
(.f64 y (+.f64 (.f64 x -1000000000/23533438303) (.f64 (.f64 x x) 168466327098500000000/553822718361107519809)))
(-.f64 (+.f64 (.f64 104109730557/25000000000 x) (.f64 2284450290879775841688574159837293/625000000000000000000000000000 (/.f64 1 x))) 13764240537310136880149/125000000000000000000)
(+.f64 (/.f64 4297481763/31250000 x) (/.f64 (+.f64 y -974239164048852206091/156250000000000000) (*.f64 x x)))
(/.f64 (.f64 z (-.f64 x 2)) (+.f64 (.f64 x 156699607947/500000000) 23533438303/500000000))
(-.f64 (+.f64 (.f64 104109730557/25000000000 x) (.f64 2284450290879775841688574159837293/625000000000000000000000000000 (/.f64 1 x))) 13764240537310136880149/125000000000000000000)
(.f64 (+.f64 x -2) (-.f64 104109730557/25000000000 (.f64 12723143231740136880149/125000000000000000000 (/.f64 1 x))))
(/.f64 (.f64 y (.f64 (-.f64 x 2) x)) (+.f64 (*.f64 x 156699607947/500000000) 23533438303/500000000))
(+.f64 (.f64 z 500000000/156699607947) (.f64 (/.f64 z x) (+.f64 -168466327098500000000/24554767130743505554809 (/.f64 3964591914905566753845500000000/3847722382617389411054987020467123 x))))
(+.f64 (.f64 (-.f64 (.f64 500000000/23533438303 z) (.f64 -156699607947000000000/553822718361107519809 z)) x) (.f64 -1000000000/23533438303 z))
(-.f64 (+.f64 (.f64 -1000000000/156699607947 (/.f64 z x)) (.f64 500000000/156699607947 z)) (*.f64 11766719151500000000/24554767130743505554809 (/.f64 z x)))
(/.f64 (.f64 z (-.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (*.f64 x 263505074721/1000000000)) x) 23533438303/500000000))
(.f64 (+.f64 x -2) (+.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (.f64 x x))))
(+.f64 (.f64 (-.f64 (.f64 500000000/23533438303 (+.f64 (.f64 -2 y) z)) (.f64 -156699607947000000000/553822718361107519809 z)) x) (*.f64 -1000000000/23533438303 z))
(/.f64 (.f64 y (.f64 (-.f64 x 2) x)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 x 263505074721/1000000000)) x) 23533438303/500000000))
(+.f64 (.f64 (-.f64 (.f64 500000000/23533438303 (+.f64 (.f64 -2 y) z)) (.f64 -156699607947000000000/553822718361107519809 z)) x) (*.f64 -1000000000/23533438303 z))
(.f64 (+.f64 x -2) (+.f64 (.f64 500000000/23533438303 z) (.f64 (-.f64 (.f64 500000000/23533438303 y) (*.f64 78349803973500000000/553822718361107519809 z)) x)))
(+.f64 (.f64 (-.f64 (.f64 500000000/23533438303 (+.f64 (.f64 -2 y) z)) (.f64 -156699607947000000000/553822718361107519809 z)) x) (*.f64 -1000000000/23533438303 z))
(/.f64 (.f64 (-.f64 x 2) (+.f64 (.f64 (+.f64 (.f64 x 4297481763/31250000) y) x) z)) (+.f64 (.f64 x 156699607947/500000000) 23533438303/500000000))
(/.f64 (.f64 z (-.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 x 216700011257/5000000000) (.f64 x x))) x) 23533438303/500000000))
(/.f64 (.f64 y (.f64 (-.f64 x 2) x)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 x 216700011257/5000000000) (*.f64 x x))) x) 23533438303/500000000))
(/.f64 (.f64 y (.f64 (-.f64 x 2) x)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 x (+.f64 263505074721/1000000000 (*.f64 x 216700011257/5000000000)))) x) 23533438303/500000000))
(.f64 (+.f64 x -2) (/.f64 z (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)))
(/.f64 (.f64 z (-.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000))
(/.f64 (.f64 y (.f64 (-.f64 x 2) x)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000))
(.f64 (+.f64 x -2) (/.f64 (.f64 y x) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)))
(.f64 (+.f64 x -2) (+.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (.f64 x x)) (*.f64 (/.f64 1 x) (/.f64 (/.f64 -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 x) x)))))
(.f64 (+.f64 x -2) (+.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (.f64 x x)) (.f64 (/.f64 1 x) (/.f64 y (.f64 x x))))))
(.f64 (+.f64 x -2) (+.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (.f64 x x)) (.f64 (/.f64 1 x) (/.f64 (+.f64 y -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000) (.f64 x x))))))
(.f64 (+.f64 x -2) (+.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (.f64 x x)) (.f64 (/.f64 1 x) (.f64 (/.f64 (+.f64 y -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000) x) (/.f64 1 x))))))
(/.f64 (.f64 (-.f64 x 2) (+.f64 (.f64 (+.f64 (.f64 x 4297481763/31250000) y) x) z)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 x 216700011257/5000000000) x) 263505074721/1000000000) x) 156699607947/500000000) x) 23533438303/500000000))
(.f64 (+.f64 x -2) (+.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (/.f64 (+.f64 (.f64 (/.f64 (+.f64 y -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000) (.f64 x x)) (.f64 x (neg.f64 x))) (.f64 x -2157218858562374472887084159837293/625000000000000000000000000000)) (.f64 x (*.f64 x (neg.f64 x))))))
(.f64 (+.f64 x -2) (/.f64 (.f64 (+.f64 (.f64 (+.f64 4297481763/31250000 (.f64 (+.f64 393497462077/5000000000 (.f64 104109730557/25000000000 x)) x)) x) y) x) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)))
(/.f64 (.f64 (-.f64 x 2) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x 104109730557/25000000000) 393497462077/5000000000) x) 4297481763/31250000) x) y) x) z)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 x 216700011257/5000000000) x) 263505074721/1000000000) x) 156699607947/500000000) x) 23533438303/500000000))
(*.f64 y (/.f64 (+.f64 x -2) (pow.f64 x 3)))
(/.f64 (.f64 (-.f64 1128428295162862690821234941118693/15625000000000000000000000000000 (.f64 (pow.f64 x -3) 2059601734647409189681626961129620613782216990037768112413421947949/1953125000000000000000000000000000000000000000000000000000000)) (+.f64 x -2)) 10838835996651139530249/625000000000000000000)
(-.f64 (+.f64 (sqrt.f64 (.f64 10838835996651139530249/625000000000000000000 (.f64 x x))) (*.f64 2284450290879775841688574159837293/625000000000000000000000000000 (/.f64 1 x))) 13764240537310136880149/125000000000000000000)
(/.f64 (*.f64 (fma.f64 x x -4) (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x))) (+.f64 x 2))
(*.f64 (+.f64 x -2) (+.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (/.f64 y (pow.f64 x 3))))
(+.f64 (fma.f64 x 104109730557/25000000000 -13764240537310136880149/125000000000000000000) (+.f64 (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x) (/.f64 (/.f64 (+.f64 y -409304707811198655637810418659684985388407301/3125000000000000000000000000000000000000) x) x)))
(*.f64 (+.f64 x -2) (/.f64 (-.f64 10838835996651139530249/625000000000000000000 (pow.f64 (/.f64 -12723143231740136880149/125000000000000000000 x) 2)) (-.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x))))
(/.f64 (.f64 (-.f64 10838835996651139530249/625000000000000000000 (.f64 (pow.f64 x -2) 161878373695374854434910217844194695190262201/15625000000000000000000000000000000000000)) (+.f64 x -2)) (+.f64 (/.f64 12723143231740136880149/125000000000000000000 x) 104109730557/25000000000))
(-.f64 (/.f64 (-.f64 (.f64 5218713131500692454134920189872459795927520118072459928324233567849/390625000000000000000000000000000000000000000000000000000000 (pow.f64 x -2)) (.f64 10838835996651139530249/625000000000000000000 (.f64 x x))) (-.f64 (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x) (.f64 104109730557/25000000000 x))) 13764240537310136880149/125000000000000000000)
(-.f64 (/.f64 1 (/.f64 (-.f64 (.f64 104109730557/25000000000 x) (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x)) (-.f64 (.f64 10838835996651139530249/625000000000000000000 (.f64 x x)) (.f64 5218713131500692454134920189872459795927520118072459928324233567849/390625000000000000000000000000000000000000000000000000000000 (pow.f64 x -2))))) 13764240537310136880149/125000000000000000000)
(.f64 (+.f64 x -2) (+.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (.f64 x x)) (/.f64 (+.f64 y -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000) (pow.f64 x 3)))))
(/.f64 (.f64 (-.f64 x 2) (+.f64 (.f64 (+.f64 (sqrt.f64 (.f64 18468349503317588169/976562500000000 (.f64 x x))) y) x) z)) (+.f64 (.f64 (+.f64 (.f64 x 263505074721/1000000000) 156699607947/500000000) x) 23533438303/500000000))
(/.f64 (.f64 (+.f64 (.f64 4297481763/31250000 (pow.f64 x 2)) z) (-.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000))
(/.f64 (.f64 (+.f64 (.f64 4297481763/31250000 (pow.f64 x 2)) z) (-.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000))
(/.f64 (.f64 (-.f64 x 2) (+.f64 (.f64 (+.f64 (.f64 (pow.f64 18468349503317588169/976562500000000 1/2) x) y) x) z)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 x 216700011257/5000000000) x) 263505074721/1000000000) x) 156699607947/500000000) x) 23533438303/500000000))
(/.f64 (.f64 (-.f64 x 2) (+.f64 (.f64 (+.f64 (sqrt.f64 (.f64 18468349503317588169/976562500000000 (.f64 x x))) y) x) z)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 (+.f64 x 216700011257/5000000000) x) 263505074721/1000000000) x) 156699607947/500000000) x) 23533438303/500000000))
(/.f64 (.f64 (+.f64 4297481763/31250000 (.f64 (+.f64 393497462077/5000000000 (.f64 104109730557/25000000000 x)) x)) (.f64 (pow.f64 x 2) (-.f64 x 2))) (+.f64 23533438303/500000000 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 (*.f64 (+.f64 216700011257/5000000000 x) x) 263505074721/1000000000) x)) x)))
(/.f64 (.f64 y (.f64 (-.f64 x 2) x)) (+.f64 (.f64 (+.f64 156699607947/500000000 (/.f64 (.f64 (-.f64 69434924403719793227841/1000000000000000000 (pow.f64 (.f64 x (+.f64 x 216700011257/5000000000)) 2)) x) (-.f64 263505074721/1000000000 (.f64 x (+.f64 x 216700011257/5000000000))))) x) 23533438303/500000000))
(+.f64 (.f64 (-.f64 (.f64 500000000/23533438303 z) (.f64 -156699607947000000000/553822718361107519809 z)) x) (+.f64 (.f64 -1 (.f64 (pow.f64 x 2) (+.f64 137519416416/23533438303 (+.f64 (.f64 -131752537360500000000/553822718361107519809 z) (.f64 156699607947/23533438303 (-.f64 (.f64 500000000/23533438303 z) (.f64 -156699607947000000000/553822718361107519809 z))))))) (.f64 -1000000000/23533438303 z)))
(/.f64 (.f64 (+.f64 (.f64 (+.f64 4297481763/31250000 (.f64 (+.f64 393497462077/5000000000 (.f64 104109730557/25000000000 x)) x)) (pow.f64 x 2)) z) (-.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000))
(/.f64 (.f64 (+.f64 (.f64 (+.f64 4297481763/31250000 (.f64 (+.f64 393497462077/5000000000 (.f64 104109730557/25000000000 x)) x)) (pow.f64 x 2)) z) (-.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000))
(.f64 (+.f64 x -2) (+.f64 (.f64 (-.f64 68759708208/23533438303 (+.f64 (.f64 156699607947/23533438303 (-.f64 (.f64 500000000/23533438303 y) (.f64 78349803973500000000/553822718361107519809 z))) (.f64 65876268680250000000/553822718361107519809 z))) (pow.f64 x 2)) (+.f64 (.f64 500000000/23533438303 z) (.f64 (-.f64 (.f64 500000000/23533438303 y) (.f64 78349803973500000000/553822718361107519809 z)) x))))
(pow.f64 (cbrt.f64 (*.f64 x 104109730557/25000000000)) 3)
(/.f64 (.f64 (-.f64 1128428295162862690821234941118693/15625000000000000000000000000000 (.f64 (pow.f64 x -3) 2059601734647409189681626961129620613782216990037768112413421947949/1953125000000000000000000000000000000000000000000000000000000)) (+.f64 x -2)) (fma.f64 (/.f64 12723143231740136880149/125000000000000000000 x) (+.f64 (/.f64 12723143231740136880149/125000000000000000000 x) 104109730557/25000000000) 10838835996651139530249/625000000000000000000))
(/.f64 (.f64 (fma.f64 x x -4) (-.f64 10838835996651139530249/625000000000000000000 (.f64 (pow.f64 x -2) 161878373695374854434910217844194695190262201/15625000000000000000000000000000000000000))) (*.f64 (+.f64 x 2) (+.f64 (/.f64 12723143231740136880149/125000000000000000000 x) 104109730557/25000000000)))
(.f64 (+.f64 x -2) (+.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (.f64 x x)) (pow.f64 (/.f64 (cbrt.f64 (+.f64 y -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000)) x) 3))))
(.f64 (/.f64 y (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) (.f64 x (+.f64 x -2)))
(.f64 (.f64 x (+.f64 x -2)) (/.f64 y (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))
(*.f64 (/.f64 (fma.f64 (pow.f64 x -3) -2059601734647409189681626961129620613782216990037768112413421947949/1953125000000000000000000000000000000000000000000000000000000 1128428295162862690821234941118693/15625000000000000000000000000000) (/.f64 (fma.f64 (/.f64 12723143231740136880149/125000000000000000000 x) (+.f64 (/.f64 12723143231740136880149/125000000000000000000 x) 104109730557/25000000000) 10838835996651139530249/625000000000000000000) (+.f64 x -2))) 1)
(*.f64 (fma.f64 (pow.f64 x -3) -2059601734647409189681626961129620613782216990037768112413421947949/1953125000000000000000000000000000000000000000000000000000000 1128428295162862690821234941118693/15625000000000000000000000000000) (/.f64 1 (/.f64 (fma.f64 (/.f64 12723143231740136880149/125000000000000000000 x) (+.f64 (/.f64 12723143231740136880149/125000000000000000000 x) 104109730557/25000000000) 10838835996651139530249/625000000000000000000) (+.f64 x -2))))
(/.f64 (.f64 (fma.f64 x x -4) (-.f64 1128428295162862690821234941118693/15625000000000000000000000000000 (.f64 (pow.f64 x -3) 2059601734647409189681626961129620613782216990037768112413421947949/1953125000000000000000000000000000000000000000000000000000000))) (*.f64 (+.f64 x 2) (fma.f64 (/.f64 12723143231740136880149/125000000000000000000 x) (+.f64 (/.f64 12723143231740136880149/125000000000000000000 x) 104109730557/25000000000) 10838835996651139530249/625000000000000000000)))
(/.f64 (.f64 (-.f64 x 2) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x 104109730557/25000000000) 393497462077/5000000000) x) 4297481763/31250000) x) y) x) z)) (+.f64 (.f64 (+.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000))) 3) 156699607947/500000000) x) 23533438303/500000000))
(*.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z) 1) -1000000000/23533438303)
(/.f64 (.f64 (-.f64 1128428295162862690821234941118693/15625000000000000000000000000000 (.f64 (pow.f64 x -3) 2059601734647409189681626961129620613782216990037768112413421947949/1953125000000000000000000000000000000000000000000000000000000)) (+.f64 x -2)) (exp.f64 (log.f64 (fma.f64 (/.f64 12723143231740136880149/125000000000000000000 x) (+.f64 (/.f64 12723143231740136880149/125000000000000000000 x) 104109730557/25000000000) 10838835996651139530249/625000000000000000000))))
(/.f64 (/.f64 (.f64 (-.f64 1273350417324164762071560844863517433176460731042563158718314028249/244140625000000000000000000000000000000000000000000000000000000 (.f64 4241959305362616935770766253051655267491536547123751839045382672835405927686343173973861249041050479238479784057709711621945665306601/3814697265625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x -6))) (+.f64 x -2)) (fma.f64 (pow.f64 x -3) 2059601734647409189681626961129620613782216990037768112413421947949/1953125000000000000000000000000000000000000000000000000000000 1128428295162862690821234941118693/15625000000000000000000000000000)) (fma.f64 (/.f64 12723143231740136880149/125000000000000000000 x) (+.f64 (/.f64 12723143231740136880149/125000000000000000000 x) 104109730557/25000000000) 10838835996651139530249/625000000000000000000))
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) z) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) (+.f64 x -2)))
(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) 2) (pow.f64 (fma.f64 (+.f64 y -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000) (pow.f64 x -3) (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (.f64 x x))) 2)) (+.f64 x -2)) (-.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (fma.f64 (+.f64 y -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000) (pow.f64 x -3) (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (*.f64 x x)))))

Outputs

(*.f64 (+.f64 x -2) (+.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (/.f64 y (pow.f64 x 3))))

(/.f64 (*.f64 (-.f64 x 2) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 x 104109730557/25000000000) 393497462077/5000000000) x) 4297481763/31250000) x) y) x) z)) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 x 216700011257/5000000000) x) 263505074721/1000000000) x) 156699607947/500000000) x) 23533438303/500000000))

(*.f64 (+.f64 x -2) (+.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (*.f64 x x)) (*.f64 (/.f64 1 x) (*.f64 (/.f64 (+.f64 y -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000) x) (/.f64 1 x))))))

Calls

4 calls:

610.0ms	z
521.0ms	y
169.0ms	x
127.0ms	(/.f64 (.f64 (-.f64 x 2) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x 104109730557/25000000000) 393497462077/5000000000) x) 4297481763/31250000) x) y) x) z)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 x 216700011257/5000000000) x) 263505074721/1000000000) x) 156699607947/500000000) x) 23533438303/500000000))

Results

Error	Segments	Branch
0.6b	3	`x`
19.6b	10	`y`
19.3b	11	`z`
0.6b	3	`(/.f64 (.f64 (-.f64 x 2) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x 104109730557/25000000000) 393497462077/5000000000) x) 4297481763/31250000) x) y) x) z)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 x 216700011257/5000000000) x) 263505074721/1000000000) x) 156699607947/500000000) x) 23533438303/500000000))`

Compiler

Compiled 1724 to 1231 computations (28.6% saved)

bsearch81.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
41.0ms	65528137826899190.0	1.2000796671222883e+38
39.0ms	-4.916838792355258e+25	-105559027952325.75

Compiler

Compiled 46 to 34 computations (26.1% saved)

regimes793.0ms (2.5%)

Counts

60 → 3

Calls

Call 1

Inputs
(/.f64 4297481763/31250000 x)
(/.f64 -4297481763/31250000 x)
(/.f64 4297481763/31250000 x)
(*.f64 z 500000000/156699607947)
(/.f64 12723143231740136880149/62500000000000000000 x)
(*.f64 z -1000000000/23533438303)
(*.f64 x 104109730557/25000000000)
(.f64 y (.f64 x -1000000000/23533438303))
(.f64 -1000000000/23533438303 (.f64 y x))
(/.f64 y (*.f64 x x))
(-.f64 (*.f64 104109730557/25000000000 x) 13764240537310136880149/125000000000000000000)
(+.f64 (/.f64 12723143231740136880149/62500000000000000000 x) -13764240537310136880149/125000000000000000000)
(-.f64 (*.f64 104109730557/25000000000 x) 13764240537310136880149/125000000000000000000)
(*.f64 (+.f64 x -2) 104109730557/25000000000)
(-.f64 (*.f64 104109730557/25000000000 x) 13764240537310136880149/125000000000000000000)
(.f64 z (+.f64 -1000000000/23533438303 (.f64 x 168466327098500000000/553822718361107519809)))
(/.f64 (*.f64 z (-.f64 x 2)) 23533438303/500000000)
(-.f64 (*.f64 12723143231740136880149/62500000000000000000 (/.f64 1 x)) 13764240537310136880149/125000000000000000000)
(.f64 z (+.f64 -1000000000/23533438303 (.f64 x 168466327098500000000/553822718361107519809)))
(.f64 (+.f64 x -2) (.f64 500000000/23533438303 z))
(-.f64 (+.f64 (*.f64 104109730557/25000000000 x) (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x)) 13764240537310136880149/125000000000000000000)
(*.f64 (+.f64 x -2) (-.f64 104109730557/25000000000 (/.f64 12723143231740136880149/125000000000000000000 x)))
(*.f64 (+.f64 x -2) (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)))
(.f64 y (+.f64 (.f64 x -1000000000/23533438303) (.f64 (.f64 x x) 168466327098500000000/553822718361107519809)))
(-.f64 (+.f64 (.f64 104109730557/25000000000 x) (.f64 2284450290879775841688574159837293/625000000000000000000000000000 (/.f64 1 x))) 13764240537310136880149/125000000000000000000)
(+.f64 (/.f64 4297481763/31250000 x) (/.f64 (+.f64 y -974239164048852206091/156250000000000000) (*.f64 x x)))
(/.f64 (.f64 z (-.f64 x 2)) (+.f64 (.f64 x 156699607947/500000000) 23533438303/500000000))
(-.f64 (+.f64 (.f64 104109730557/25000000000 x) (.f64 2284450290879775841688574159837293/625000000000000000000000000000 (/.f64 1 x))) 13764240537310136880149/125000000000000000000)
(.f64 (+.f64 x -2) (-.f64 104109730557/25000000000 (.f64 12723143231740136880149/125000000000000000000 (/.f64 1 x))))
(/.f64 (.f64 y (.f64 (-.f64 x 2) x)) (+.f64 (*.f64 x 156699607947/500000000) 23533438303/500000000))
(+.f64 (.f64 z 500000000/156699607947) (.f64 (/.f64 z x) (+.f64 -168466327098500000000/24554767130743505554809 (/.f64 3964591914905566753845500000000/3847722382617389411054987020467123 x))))
(+.f64 (.f64 (-.f64 (.f64 500000000/23533438303 z) (.f64 -156699607947000000000/553822718361107519809 z)) x) (.f64 -1000000000/23533438303 z))
(-.f64 (+.f64 (.f64 -1000000000/156699607947 (/.f64 z x)) (.f64 500000000/156699607947 z)) (*.f64 11766719151500000000/24554767130743505554809 (/.f64 z x)))
(/.f64 (.f64 z (-.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (*.f64 x 263505074721/1000000000)) x) 23533438303/500000000))
(.f64 (+.f64 x -2) (+.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (.f64 x x))))
(+.f64 (.f64 (-.f64 (.f64 500000000/23533438303 (+.f64 (.f64 -2 y) z)) (.f64 -156699607947000000000/553822718361107519809 z)) x) (*.f64 -1000000000/23533438303 z))
(/.f64 (.f64 y (.f64 (-.f64 x 2) x)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 x 263505074721/1000000000)) x) 23533438303/500000000))
(+.f64 (.f64 (-.f64 (.f64 500000000/23533438303 (+.f64 (.f64 -2 y) z)) (.f64 -156699607947000000000/553822718361107519809 z)) x) (*.f64 -1000000000/23533438303 z))
(.f64 (+.f64 x -2) (+.f64 (.f64 500000000/23533438303 z) (.f64 (-.f64 (.f64 500000000/23533438303 y) (*.f64 78349803973500000000/553822718361107519809 z)) x)))
(+.f64 (.f64 (-.f64 (.f64 500000000/23533438303 (+.f64 (.f64 -2 y) z)) (.f64 -156699607947000000000/553822718361107519809 z)) x) (*.f64 -1000000000/23533438303 z))
(/.f64 (.f64 (-.f64 x 2) (+.f64 (.f64 (+.f64 (.f64 x 4297481763/31250000) y) x) z)) (+.f64 (.f64 x 156699607947/500000000) 23533438303/500000000))
(/.f64 (.f64 z (-.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 x 216700011257/5000000000) (.f64 x x))) x) 23533438303/500000000))
(/.f64 (.f64 y (.f64 (-.f64 x 2) x)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 x 216700011257/5000000000) (*.f64 x x))) x) 23533438303/500000000))
(/.f64 (.f64 y (.f64 (-.f64 x 2) x)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 x (+.f64 263505074721/1000000000 (*.f64 x 216700011257/5000000000)))) x) 23533438303/500000000))
(.f64 (+.f64 x -2) (/.f64 z (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)))
(/.f64 (.f64 z (-.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000))
(/.f64 (.f64 y (.f64 (-.f64 x 2) x)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000))
(.f64 (+.f64 x -2) (/.f64 (.f64 y x) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)))
(.f64 (+.f64 x -2) (+.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (.f64 x x)) (*.f64 (/.f64 1 x) (/.f64 (/.f64 -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 x) x)))))
(.f64 (+.f64 x -2) (+.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (.f64 x x)) (.f64 (/.f64 1 x) (/.f64 y (.f64 x x))))))
(.f64 (+.f64 x -2) (+.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (.f64 x x)) (.f64 (/.f64 1 x) (/.f64 (+.f64 y -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000) (.f64 x x))))))
(.f64 (+.f64 x -2) (+.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (.f64 x x)) (.f64 (/.f64 1 x) (.f64 (/.f64 (+.f64 y -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000) x) (/.f64 1 x))))))
(/.f64 (.f64 (-.f64 x 2) (+.f64 (.f64 (+.f64 (.f64 x 4297481763/31250000) y) x) z)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 x 216700011257/5000000000) x) 263505074721/1000000000) x) 156699607947/500000000) x) 23533438303/500000000))
(.f64 (+.f64 x -2) (+.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (/.f64 (+.f64 (.f64 (/.f64 (+.f64 y -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000) (.f64 x x)) (.f64 x (neg.f64 x))) (.f64 x -2157218858562374472887084159837293/625000000000000000000000000000)) (.f64 x (*.f64 x (neg.f64 x))))))
(.f64 (+.f64 x -2) (/.f64 (.f64 (+.f64 (.f64 (+.f64 4297481763/31250000 (.f64 (+.f64 393497462077/5000000000 (.f64 104109730557/25000000000 x)) x)) x) y) x) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)))
(/.f64 (.f64 (-.f64 x 2) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x 104109730557/25000000000) 393497462077/5000000000) x) 4297481763/31250000) x) y) x) z)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 x 216700011257/5000000000) x) 263505074721/1000000000) x) 156699607947/500000000) x) 23533438303/500000000))
(*.f64 y (/.f64 (+.f64 x -2) (pow.f64 x 3)))
(/.f64 (.f64 (-.f64 1128428295162862690821234941118693/15625000000000000000000000000000 (.f64 (pow.f64 x -3) 2059601734647409189681626961129620613782216990037768112413421947949/1953125000000000000000000000000000000000000000000000000000000)) (+.f64 x -2)) 10838835996651139530249/625000000000000000000)
(-.f64 (+.f64 (sqrt.f64 (.f64 10838835996651139530249/625000000000000000000 (.f64 x x))) (*.f64 2284450290879775841688574159837293/625000000000000000000000000000 (/.f64 1 x))) 13764240537310136880149/125000000000000000000)
(/.f64 (*.f64 (fma.f64 x x -4) (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x))) (+.f64 x 2))

Outputs

(*.f64 (+.f64 x -2) (+.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (*.f64 x x)) (*.f64 (/.f64 1 x) (/.f64 y (*.f64 x x))))))

(/.f64 (*.f64 (-.f64 x 2) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 x 104109730557/25000000000) 393497462077/5000000000) x) 4297481763/31250000) x) y) x) z)) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 x 216700011257/5000000000) x) 263505074721/1000000000) x) 156699607947/500000000) x) 23533438303/500000000))

(*.f64 (+.f64 x -2) (+.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (*.f64 x x)) (*.f64 (/.f64 1 x) (*.f64 (/.f64 (+.f64 y -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000) x) (/.f64 1 x))))))

Calls

4 calls:

313.0ms	z
282.0ms	y
94.0ms	x
76.0ms	(/.f64 (.f64 (-.f64 x 2) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x 104109730557/25000000000) 393497462077/5000000000) x) 4297481763/31250000) x) y) x) z)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 x 216700011257/5000000000) x) 263505074721/1000000000) x) 156699607947/500000000) x) 23533438303/500000000))

Results

Error	Segments	Branch
0.6b	3	`x`
19.9b	10	`y`
19.3b	11	`z`
0.6b	3	`(/.f64 (.f64 (-.f64 x 2) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x 104109730557/25000000000) 393497462077/5000000000) x) 4297481763/31250000) x) y) x) z)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 x 216700011257/5000000000) x) 263505074721/1000000000) x) 156699607947/500000000) x) 23533438303/500000000))`

Compiler

Compiled 871 to 602 computations (30.9% saved)

bsearch76.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
37.0ms	65528137826899190.0	1.2000796671222883e+38
37.0ms	-4.916838792355258e+25	-105559027952325.75

Compiler

Compiled 46 to 34 computations (26.1% saved)

regimes927.0ms (2.9%)

Counts

55 → 3

Calls

Call 1

Inputs
(/.f64 4297481763/31250000 x)
(/.f64 -4297481763/31250000 x)
(/.f64 4297481763/31250000 x)
(*.f64 z 500000000/156699607947)
(/.f64 12723143231740136880149/62500000000000000000 x)
(*.f64 z -1000000000/23533438303)
(*.f64 x 104109730557/25000000000)
(.f64 y (.f64 x -1000000000/23533438303))
(.f64 -1000000000/23533438303 (.f64 y x))
(/.f64 y (*.f64 x x))
(-.f64 (*.f64 104109730557/25000000000 x) 13764240537310136880149/125000000000000000000)
(+.f64 (/.f64 12723143231740136880149/62500000000000000000 x) -13764240537310136880149/125000000000000000000)
(-.f64 (*.f64 104109730557/25000000000 x) 13764240537310136880149/125000000000000000000)
(*.f64 (+.f64 x -2) 104109730557/25000000000)
(-.f64 (*.f64 104109730557/25000000000 x) 13764240537310136880149/125000000000000000000)
(.f64 z (+.f64 -1000000000/23533438303 (.f64 x 168466327098500000000/553822718361107519809)))
(/.f64 (*.f64 z (-.f64 x 2)) 23533438303/500000000)
(-.f64 (*.f64 12723143231740136880149/62500000000000000000 (/.f64 1 x)) 13764240537310136880149/125000000000000000000)
(.f64 z (+.f64 -1000000000/23533438303 (.f64 x 168466327098500000000/553822718361107519809)))
(.f64 (+.f64 x -2) (.f64 500000000/23533438303 z))
(-.f64 (+.f64 (*.f64 104109730557/25000000000 x) (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x)) 13764240537310136880149/125000000000000000000)
(*.f64 (+.f64 x -2) (-.f64 104109730557/25000000000 (/.f64 12723143231740136880149/125000000000000000000 x)))
(*.f64 (+.f64 x -2) (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)))
(.f64 y (+.f64 (.f64 x -1000000000/23533438303) (.f64 (.f64 x x) 168466327098500000000/553822718361107519809)))
(-.f64 (+.f64 (.f64 104109730557/25000000000 x) (.f64 2284450290879775841688574159837293/625000000000000000000000000000 (/.f64 1 x))) 13764240537310136880149/125000000000000000000)
(+.f64 (/.f64 4297481763/31250000 x) (/.f64 (+.f64 y -974239164048852206091/156250000000000000) (*.f64 x x)))
(/.f64 (.f64 z (-.f64 x 2)) (+.f64 (.f64 x 156699607947/500000000) 23533438303/500000000))
(-.f64 (+.f64 (.f64 104109730557/25000000000 x) (.f64 2284450290879775841688574159837293/625000000000000000000000000000 (/.f64 1 x))) 13764240537310136880149/125000000000000000000)
(.f64 (+.f64 x -2) (-.f64 104109730557/25000000000 (.f64 12723143231740136880149/125000000000000000000 (/.f64 1 x))))
(/.f64 (.f64 y (.f64 (-.f64 x 2) x)) (+.f64 (*.f64 x 156699607947/500000000) 23533438303/500000000))
(+.f64 (.f64 z 500000000/156699607947) (.f64 (/.f64 z x) (+.f64 -168466327098500000000/24554767130743505554809 (/.f64 3964591914905566753845500000000/3847722382617389411054987020467123 x))))
(+.f64 (.f64 (-.f64 (.f64 500000000/23533438303 z) (.f64 -156699607947000000000/553822718361107519809 z)) x) (.f64 -1000000000/23533438303 z))
(-.f64 (+.f64 (.f64 -1000000000/156699607947 (/.f64 z x)) (.f64 500000000/156699607947 z)) (*.f64 11766719151500000000/24554767130743505554809 (/.f64 z x)))
(/.f64 (.f64 z (-.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (*.f64 x 263505074721/1000000000)) x) 23533438303/500000000))
(.f64 (+.f64 x -2) (+.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (.f64 x x))))
(+.f64 (.f64 (-.f64 (.f64 500000000/23533438303 (+.f64 (.f64 -2 y) z)) (.f64 -156699607947000000000/553822718361107519809 z)) x) (*.f64 -1000000000/23533438303 z))
(/.f64 (.f64 y (.f64 (-.f64 x 2) x)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 x 263505074721/1000000000)) x) 23533438303/500000000))
(+.f64 (.f64 (-.f64 (.f64 500000000/23533438303 (+.f64 (.f64 -2 y) z)) (.f64 -156699607947000000000/553822718361107519809 z)) x) (*.f64 -1000000000/23533438303 z))
(.f64 (+.f64 x -2) (+.f64 (.f64 500000000/23533438303 z) (.f64 (-.f64 (.f64 500000000/23533438303 y) (*.f64 78349803973500000000/553822718361107519809 z)) x)))
(+.f64 (.f64 (-.f64 (.f64 500000000/23533438303 (+.f64 (.f64 -2 y) z)) (.f64 -156699607947000000000/553822718361107519809 z)) x) (*.f64 -1000000000/23533438303 z))
(/.f64 (.f64 (-.f64 x 2) (+.f64 (.f64 (+.f64 (.f64 x 4297481763/31250000) y) x) z)) (+.f64 (.f64 x 156699607947/500000000) 23533438303/500000000))
(/.f64 (.f64 z (-.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 x 216700011257/5000000000) (.f64 x x))) x) 23533438303/500000000))
(/.f64 (.f64 y (.f64 (-.f64 x 2) x)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 x 216700011257/5000000000) (*.f64 x x))) x) 23533438303/500000000))
(/.f64 (.f64 y (.f64 (-.f64 x 2) x)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 x (+.f64 263505074721/1000000000 (*.f64 x 216700011257/5000000000)))) x) 23533438303/500000000))
(.f64 (+.f64 x -2) (/.f64 z (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)))
(/.f64 (.f64 z (-.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000))
(/.f64 (.f64 y (.f64 (-.f64 x 2) x)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000))
(.f64 (+.f64 x -2) (/.f64 (.f64 y x) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)))
(.f64 (+.f64 x -2) (+.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (.f64 x x)) (*.f64 (/.f64 1 x) (/.f64 (/.f64 -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 x) x)))))
(.f64 (+.f64 x -2) (+.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (.f64 x x)) (.f64 (/.f64 1 x) (/.f64 y (.f64 x x))))))
(.f64 (+.f64 x -2) (+.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (.f64 x x)) (.f64 (/.f64 1 x) (/.f64 (+.f64 y -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000) (.f64 x x))))))
(.f64 (+.f64 x -2) (+.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (.f64 x x)) (.f64 (/.f64 1 x) (.f64 (/.f64 (+.f64 y -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000) x) (/.f64 1 x))))))
(/.f64 (.f64 (-.f64 x 2) (+.f64 (.f64 (+.f64 (.f64 x 4297481763/31250000) y) x) z)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 x 216700011257/5000000000) x) 263505074721/1000000000) x) 156699607947/500000000) x) 23533438303/500000000))
(.f64 (+.f64 x -2) (+.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (/.f64 (+.f64 (.f64 (/.f64 (+.f64 y -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000) (.f64 x x)) (.f64 x (neg.f64 x))) (.f64 x -2157218858562374472887084159837293/625000000000000000000000000000)) (.f64 x (*.f64 x (neg.f64 x))))))
(.f64 (+.f64 x -2) (/.f64 (.f64 (+.f64 (.f64 (+.f64 4297481763/31250000 (.f64 (+.f64 393497462077/5000000000 (.f64 104109730557/25000000000 x)) x)) x) y) x) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)))

Outputs

(*.f64 (+.f64 x -2) (+.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (*.f64 x x)) (*.f64 (/.f64 1 x) (/.f64 y (*.f64 x x))))))

(/.f64 (*.f64 (-.f64 x 2) (+.f64 (*.f64 (+.f64 (*.f64 x 4297481763/31250000) y) x) z)) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 x 216700011257/5000000000) x) 263505074721/1000000000) x) 156699607947/500000000) x) 23533438303/500000000))

(*.f64 (+.f64 x -2) (+.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (*.f64 x x)) (*.f64 (/.f64 1 x) (*.f64 (/.f64 (+.f64 y -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000) x) (/.f64 1 x))))))

Calls

3 calls:

494.0ms	y
317.0ms	z
92.0ms	x

Results

Error	Segments	Branch
0.8b	3	`x`
21.0b	10	`y`
19.3b	12	`z`

Compiler

Compiled 744 to 510 computations (31.5% saved)

bsearch80.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
42.0ms	65528137826899190.0	1.2000796671222883e+38
37.0ms	-4.916838792355258e+25	-105559027952325.75

Compiler

Compiled 46 to 34 computations (26.1% saved)

regimes1.3s (4.1%)

Counts

52 → 3

Calls

Call 1

Inputs
(/.f64 4297481763/31250000 x)
(/.f64 -4297481763/31250000 x)
(/.f64 4297481763/31250000 x)
(*.f64 z 500000000/156699607947)
(/.f64 12723143231740136880149/62500000000000000000 x)
(*.f64 z -1000000000/23533438303)
(*.f64 x 104109730557/25000000000)
(.f64 y (.f64 x -1000000000/23533438303))
(.f64 -1000000000/23533438303 (.f64 y x))
(/.f64 y (*.f64 x x))
(-.f64 (*.f64 104109730557/25000000000 x) 13764240537310136880149/125000000000000000000)
(+.f64 (/.f64 12723143231740136880149/62500000000000000000 x) -13764240537310136880149/125000000000000000000)
(-.f64 (*.f64 104109730557/25000000000 x) 13764240537310136880149/125000000000000000000)
(*.f64 (+.f64 x -2) 104109730557/25000000000)
(-.f64 (*.f64 104109730557/25000000000 x) 13764240537310136880149/125000000000000000000)
(.f64 z (+.f64 -1000000000/23533438303 (.f64 x 168466327098500000000/553822718361107519809)))
(/.f64 (*.f64 z (-.f64 x 2)) 23533438303/500000000)
(-.f64 (*.f64 12723143231740136880149/62500000000000000000 (/.f64 1 x)) 13764240537310136880149/125000000000000000000)
(.f64 z (+.f64 -1000000000/23533438303 (.f64 x 168466327098500000000/553822718361107519809)))
(.f64 (+.f64 x -2) (.f64 500000000/23533438303 z))
(-.f64 (+.f64 (*.f64 104109730557/25000000000 x) (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x)) 13764240537310136880149/125000000000000000000)
(*.f64 (+.f64 x -2) (-.f64 104109730557/25000000000 (/.f64 12723143231740136880149/125000000000000000000 x)))
(*.f64 (+.f64 x -2) (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)))
(.f64 y (+.f64 (.f64 x -1000000000/23533438303) (.f64 (.f64 x x) 168466327098500000000/553822718361107519809)))
(-.f64 (+.f64 (.f64 104109730557/25000000000 x) (.f64 2284450290879775841688574159837293/625000000000000000000000000000 (/.f64 1 x))) 13764240537310136880149/125000000000000000000)
(+.f64 (/.f64 4297481763/31250000 x) (/.f64 (+.f64 y -974239164048852206091/156250000000000000) (*.f64 x x)))
(/.f64 (.f64 z (-.f64 x 2)) (+.f64 (.f64 x 156699607947/500000000) 23533438303/500000000))
(-.f64 (+.f64 (.f64 104109730557/25000000000 x) (.f64 2284450290879775841688574159837293/625000000000000000000000000000 (/.f64 1 x))) 13764240537310136880149/125000000000000000000)
(.f64 (+.f64 x -2) (-.f64 104109730557/25000000000 (.f64 12723143231740136880149/125000000000000000000 (/.f64 1 x))))
(/.f64 (.f64 y (.f64 (-.f64 x 2) x)) (+.f64 (*.f64 x 156699607947/500000000) 23533438303/500000000))
(+.f64 (.f64 z 500000000/156699607947) (.f64 (/.f64 z x) (+.f64 -168466327098500000000/24554767130743505554809 (/.f64 3964591914905566753845500000000/3847722382617389411054987020467123 x))))
(+.f64 (.f64 (-.f64 (.f64 500000000/23533438303 z) (.f64 -156699607947000000000/553822718361107519809 z)) x) (.f64 -1000000000/23533438303 z))
(-.f64 (+.f64 (.f64 -1000000000/156699607947 (/.f64 z x)) (.f64 500000000/156699607947 z)) (*.f64 11766719151500000000/24554767130743505554809 (/.f64 z x)))
(/.f64 (.f64 z (-.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (*.f64 x 263505074721/1000000000)) x) 23533438303/500000000))
(.f64 (+.f64 x -2) (+.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (.f64 x x))))
(+.f64 (.f64 (-.f64 (.f64 500000000/23533438303 (+.f64 (.f64 -2 y) z)) (.f64 -156699607947000000000/553822718361107519809 z)) x) (*.f64 -1000000000/23533438303 z))
(/.f64 (.f64 y (.f64 (-.f64 x 2) x)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 x 263505074721/1000000000)) x) 23533438303/500000000))
(+.f64 (.f64 (-.f64 (.f64 500000000/23533438303 (+.f64 (.f64 -2 y) z)) (.f64 -156699607947000000000/553822718361107519809 z)) x) (*.f64 -1000000000/23533438303 z))
(.f64 (+.f64 x -2) (+.f64 (.f64 500000000/23533438303 z) (.f64 (-.f64 (.f64 500000000/23533438303 y) (*.f64 78349803973500000000/553822718361107519809 z)) x)))
(+.f64 (.f64 (-.f64 (.f64 500000000/23533438303 (+.f64 (.f64 -2 y) z)) (.f64 -156699607947000000000/553822718361107519809 z)) x) (*.f64 -1000000000/23533438303 z))
(/.f64 (.f64 (-.f64 x 2) (+.f64 (.f64 (+.f64 (.f64 x 4297481763/31250000) y) x) z)) (+.f64 (.f64 x 156699607947/500000000) 23533438303/500000000))
(/.f64 (.f64 z (-.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 x 216700011257/5000000000) (.f64 x x))) x) 23533438303/500000000))
(/.f64 (.f64 y (.f64 (-.f64 x 2) x)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 x 216700011257/5000000000) (*.f64 x x))) x) 23533438303/500000000))
(/.f64 (.f64 y (.f64 (-.f64 x 2) x)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 x (+.f64 263505074721/1000000000 (*.f64 x 216700011257/5000000000)))) x) 23533438303/500000000))
(.f64 (+.f64 x -2) (/.f64 z (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)))
(/.f64 (.f64 z (-.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000))
(/.f64 (.f64 y (.f64 (-.f64 x 2) x)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000))
(.f64 (+.f64 x -2) (/.f64 (.f64 y x) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)))
(.f64 (+.f64 x -2) (+.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (.f64 x x)) (*.f64 (/.f64 1 x) (/.f64 (/.f64 -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 x) x)))))
(.f64 (+.f64 x -2) (+.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (.f64 x x)) (.f64 (/.f64 1 x) (/.f64 y (.f64 x x))))))
(.f64 (+.f64 x -2) (+.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (.f64 x x)) (.f64 (/.f64 1 x) (/.f64 (+.f64 y -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000) (.f64 x x))))))
(.f64 (+.f64 x -2) (+.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (.f64 x x)) (.f64 (/.f64 1 x) (.f64 (/.f64 (+.f64 y -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000) x) (/.f64 1 x))))))

Outputs

(*.f64 (+.f64 x -2) (+.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (*.f64 x x)) (*.f64 (/.f64 1 x) (/.f64 (+.f64 y -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000) (*.f64 x x))))))

(/.f64 (*.f64 (-.f64 x 2) (+.f64 (*.f64 (+.f64 (*.f64 x 4297481763/31250000) y) x) z)) (+.f64 (*.f64 x 156699607947/500000000) 23533438303/500000000))

(*.f64 (+.f64 x -2) (+.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (*.f64 x x)) (*.f64 (/.f64 1 x) (*.f64 (/.f64 (+.f64 y -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000) x) (/.f64 1 x))))))

Calls

3 calls:

681.0ms	z
507.0ms	y
111.0ms	x

Results

Error	Segments	Branch
1.4b	3	`x`
22.0b	10	`y`
19.7b	12	`z`

Compiler

Compiled 647 to 446 computations (31.1% saved)

bsearch245.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
127.0ms	43196.13065854334	65528137826899190.0
117.0ms	-5409.547712895577	-0.0015847288193473108

Compiler

Compiled 46 to 34 computations (26.1% saved)

regimes1.6s (5.1%)

Counts

51 → 3

Calls

Call 1

Inputs
(/.f64 4297481763/31250000 x)
(/.f64 -4297481763/31250000 x)
(/.f64 4297481763/31250000 x)
(*.f64 z 500000000/156699607947)
(/.f64 12723143231740136880149/62500000000000000000 x)
(*.f64 z -1000000000/23533438303)
(*.f64 x 104109730557/25000000000)
(.f64 y (.f64 x -1000000000/23533438303))
(.f64 -1000000000/23533438303 (.f64 y x))
(/.f64 y (*.f64 x x))
(-.f64 (*.f64 104109730557/25000000000 x) 13764240537310136880149/125000000000000000000)
(+.f64 (/.f64 12723143231740136880149/62500000000000000000 x) -13764240537310136880149/125000000000000000000)
(-.f64 (*.f64 104109730557/25000000000 x) 13764240537310136880149/125000000000000000000)
(*.f64 (+.f64 x -2) 104109730557/25000000000)
(-.f64 (*.f64 104109730557/25000000000 x) 13764240537310136880149/125000000000000000000)
(.f64 z (+.f64 -1000000000/23533438303 (.f64 x 168466327098500000000/553822718361107519809)))
(/.f64 (*.f64 z (-.f64 x 2)) 23533438303/500000000)
(-.f64 (*.f64 12723143231740136880149/62500000000000000000 (/.f64 1 x)) 13764240537310136880149/125000000000000000000)
(.f64 z (+.f64 -1000000000/23533438303 (.f64 x 168466327098500000000/553822718361107519809)))
(.f64 (+.f64 x -2) (.f64 500000000/23533438303 z))
(-.f64 (+.f64 (*.f64 104109730557/25000000000 x) (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x)) 13764240537310136880149/125000000000000000000)
(*.f64 (+.f64 x -2) (-.f64 104109730557/25000000000 (/.f64 12723143231740136880149/125000000000000000000 x)))
(*.f64 (+.f64 x -2) (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)))
(.f64 y (+.f64 (.f64 x -1000000000/23533438303) (.f64 (.f64 x x) 168466327098500000000/553822718361107519809)))
(-.f64 (+.f64 (.f64 104109730557/25000000000 x) (.f64 2284450290879775841688574159837293/625000000000000000000000000000 (/.f64 1 x))) 13764240537310136880149/125000000000000000000)
(+.f64 (/.f64 4297481763/31250000 x) (/.f64 (+.f64 y -974239164048852206091/156250000000000000) (*.f64 x x)))
(/.f64 (.f64 z (-.f64 x 2)) (+.f64 (.f64 x 156699607947/500000000) 23533438303/500000000))
(-.f64 (+.f64 (.f64 104109730557/25000000000 x) (.f64 2284450290879775841688574159837293/625000000000000000000000000000 (/.f64 1 x))) 13764240537310136880149/125000000000000000000)
(.f64 (+.f64 x -2) (-.f64 104109730557/25000000000 (.f64 12723143231740136880149/125000000000000000000 (/.f64 1 x))))
(/.f64 (.f64 y (.f64 (-.f64 x 2) x)) (+.f64 (*.f64 x 156699607947/500000000) 23533438303/500000000))
(+.f64 (.f64 z 500000000/156699607947) (.f64 (/.f64 z x) (+.f64 -168466327098500000000/24554767130743505554809 (/.f64 3964591914905566753845500000000/3847722382617389411054987020467123 x))))
(+.f64 (.f64 (-.f64 (.f64 500000000/23533438303 z) (.f64 -156699607947000000000/553822718361107519809 z)) x) (.f64 -1000000000/23533438303 z))
(-.f64 (+.f64 (.f64 -1000000000/156699607947 (/.f64 z x)) (.f64 500000000/156699607947 z)) (*.f64 11766719151500000000/24554767130743505554809 (/.f64 z x)))
(/.f64 (.f64 z (-.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (*.f64 x 263505074721/1000000000)) x) 23533438303/500000000))
(.f64 (+.f64 x -2) (+.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (.f64 x x))))
(+.f64 (.f64 (-.f64 (.f64 500000000/23533438303 (+.f64 (.f64 -2 y) z)) (.f64 -156699607947000000000/553822718361107519809 z)) x) (*.f64 -1000000000/23533438303 z))
(/.f64 (.f64 y (.f64 (-.f64 x 2) x)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 x 263505074721/1000000000)) x) 23533438303/500000000))
(+.f64 (.f64 (-.f64 (.f64 500000000/23533438303 (+.f64 (.f64 -2 y) z)) (.f64 -156699607947000000000/553822718361107519809 z)) x) (*.f64 -1000000000/23533438303 z))
(.f64 (+.f64 x -2) (+.f64 (.f64 500000000/23533438303 z) (.f64 (-.f64 (.f64 500000000/23533438303 y) (*.f64 78349803973500000000/553822718361107519809 z)) x)))
(+.f64 (.f64 (-.f64 (.f64 500000000/23533438303 (+.f64 (.f64 -2 y) z)) (.f64 -156699607947000000000/553822718361107519809 z)) x) (*.f64 -1000000000/23533438303 z))
(/.f64 (.f64 (-.f64 x 2) (+.f64 (.f64 (+.f64 (.f64 x 4297481763/31250000) y) x) z)) (+.f64 (.f64 x 156699607947/500000000) 23533438303/500000000))
(/.f64 (.f64 z (-.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 x 216700011257/5000000000) (.f64 x x))) x) 23533438303/500000000))
(/.f64 (.f64 y (.f64 (-.f64 x 2) x)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 x 216700011257/5000000000) (*.f64 x x))) x) 23533438303/500000000))
(/.f64 (.f64 y (.f64 (-.f64 x 2) x)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 x (+.f64 263505074721/1000000000 (*.f64 x 216700011257/5000000000)))) x) 23533438303/500000000))
(.f64 (+.f64 x -2) (/.f64 z (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)))
(/.f64 (.f64 z (-.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000))
(/.f64 (.f64 y (.f64 (-.f64 x 2) x)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000))
(.f64 (+.f64 x -2) (/.f64 (.f64 y x) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)))
(.f64 (+.f64 x -2) (+.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (.f64 x x)) (*.f64 (/.f64 1 x) (/.f64 (/.f64 -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 x) x)))))
(.f64 (+.f64 x -2) (+.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (.f64 x x)) (.f64 (/.f64 1 x) (/.f64 y (.f64 x x))))))
(.f64 (+.f64 x -2) (+.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (.f64 x x)) (.f64 (/.f64 1 x) (/.f64 (+.f64 y -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000) (.f64 x x))))))

Outputs

(*.f64 (+.f64 x -2) (+.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (*.f64 x x)) (*.f64 (/.f64 1 x) (/.f64 (+.f64 y -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000) (*.f64 x x))))))

(/.f64 (*.f64 (-.f64 x 2) (+.f64 (*.f64 (+.f64 (*.f64 x 4297481763/31250000) y) x) z)) (+.f64 (*.f64 x 156699607947/500000000) 23533438303/500000000))

(*.f64 (+.f64 x -2) (+.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (*.f64 x x)) (*.f64 (/.f64 1 x) (/.f64 y (*.f64 x x))))))

Calls

3 calls:

841.0ms	z
435.0ms	y
304.0ms	x

Results

Error	Segments	Branch
1.4b	3	`x`
22.0b	10	`y`
19.7b	12	`z`

Compiler

Compiled 618 to 426 computations (31.1% saved)

bsearch125.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
57.0ms	43196.13065854334	65528137826899190.0
68.0ms	-5409.547712895577	-0.0015847288193473108

Compiler

Compiled 46 to 34 computations (26.1% saved)

regimes1.2s (3.8%)

Counts

50 → 3

Calls

Call 1

Inputs
(/.f64 4297481763/31250000 x)
(/.f64 -4297481763/31250000 x)
(/.f64 4297481763/31250000 x)
(*.f64 z 500000000/156699607947)
(/.f64 12723143231740136880149/62500000000000000000 x)
(*.f64 z -1000000000/23533438303)
(*.f64 x 104109730557/25000000000)
(.f64 y (.f64 x -1000000000/23533438303))
(.f64 -1000000000/23533438303 (.f64 y x))
(/.f64 y (*.f64 x x))
(-.f64 (*.f64 104109730557/25000000000 x) 13764240537310136880149/125000000000000000000)
(+.f64 (/.f64 12723143231740136880149/62500000000000000000 x) -13764240537310136880149/125000000000000000000)
(-.f64 (*.f64 104109730557/25000000000 x) 13764240537310136880149/125000000000000000000)
(*.f64 (+.f64 x -2) 104109730557/25000000000)
(-.f64 (*.f64 104109730557/25000000000 x) 13764240537310136880149/125000000000000000000)
(.f64 z (+.f64 -1000000000/23533438303 (.f64 x 168466327098500000000/553822718361107519809)))
(/.f64 (*.f64 z (-.f64 x 2)) 23533438303/500000000)
(-.f64 (*.f64 12723143231740136880149/62500000000000000000 (/.f64 1 x)) 13764240537310136880149/125000000000000000000)
(.f64 z (+.f64 -1000000000/23533438303 (.f64 x 168466327098500000000/553822718361107519809)))
(.f64 (+.f64 x -2) (.f64 500000000/23533438303 z))
(-.f64 (+.f64 (*.f64 104109730557/25000000000 x) (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x)) 13764240537310136880149/125000000000000000000)
(*.f64 (+.f64 x -2) (-.f64 104109730557/25000000000 (/.f64 12723143231740136880149/125000000000000000000 x)))
(*.f64 (+.f64 x -2) (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)))
(.f64 y (+.f64 (.f64 x -1000000000/23533438303) (.f64 (.f64 x x) 168466327098500000000/553822718361107519809)))
(-.f64 (+.f64 (.f64 104109730557/25000000000 x) (.f64 2284450290879775841688574159837293/625000000000000000000000000000 (/.f64 1 x))) 13764240537310136880149/125000000000000000000)
(+.f64 (/.f64 4297481763/31250000 x) (/.f64 (+.f64 y -974239164048852206091/156250000000000000) (*.f64 x x)))
(/.f64 (.f64 z (-.f64 x 2)) (+.f64 (.f64 x 156699607947/500000000) 23533438303/500000000))
(-.f64 (+.f64 (.f64 104109730557/25000000000 x) (.f64 2284450290879775841688574159837293/625000000000000000000000000000 (/.f64 1 x))) 13764240537310136880149/125000000000000000000)
(.f64 (+.f64 x -2) (-.f64 104109730557/25000000000 (.f64 12723143231740136880149/125000000000000000000 (/.f64 1 x))))
(/.f64 (.f64 y (.f64 (-.f64 x 2) x)) (+.f64 (*.f64 x 156699607947/500000000) 23533438303/500000000))
(+.f64 (.f64 z 500000000/156699607947) (.f64 (/.f64 z x) (+.f64 -168466327098500000000/24554767130743505554809 (/.f64 3964591914905566753845500000000/3847722382617389411054987020467123 x))))
(+.f64 (.f64 (-.f64 (.f64 500000000/23533438303 z) (.f64 -156699607947000000000/553822718361107519809 z)) x) (.f64 -1000000000/23533438303 z))
(-.f64 (+.f64 (.f64 -1000000000/156699607947 (/.f64 z x)) (.f64 500000000/156699607947 z)) (*.f64 11766719151500000000/24554767130743505554809 (/.f64 z x)))
(/.f64 (.f64 z (-.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (*.f64 x 263505074721/1000000000)) x) 23533438303/500000000))
(.f64 (+.f64 x -2) (+.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (.f64 x x))))
(+.f64 (.f64 (-.f64 (.f64 500000000/23533438303 (+.f64 (.f64 -2 y) z)) (.f64 -156699607947000000000/553822718361107519809 z)) x) (*.f64 -1000000000/23533438303 z))
(/.f64 (.f64 y (.f64 (-.f64 x 2) x)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 x 263505074721/1000000000)) x) 23533438303/500000000))
(+.f64 (.f64 (-.f64 (.f64 500000000/23533438303 (+.f64 (.f64 -2 y) z)) (.f64 -156699607947000000000/553822718361107519809 z)) x) (*.f64 -1000000000/23533438303 z))
(.f64 (+.f64 x -2) (+.f64 (.f64 500000000/23533438303 z) (.f64 (-.f64 (.f64 500000000/23533438303 y) (*.f64 78349803973500000000/553822718361107519809 z)) x)))
(+.f64 (.f64 (-.f64 (.f64 500000000/23533438303 (+.f64 (.f64 -2 y) z)) (.f64 -156699607947000000000/553822718361107519809 z)) x) (*.f64 -1000000000/23533438303 z))
(/.f64 (.f64 (-.f64 x 2) (+.f64 (.f64 (+.f64 (.f64 x 4297481763/31250000) y) x) z)) (+.f64 (.f64 x 156699607947/500000000) 23533438303/500000000))
(/.f64 (.f64 z (-.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 x 216700011257/5000000000) (.f64 x x))) x) 23533438303/500000000))
(/.f64 (.f64 y (.f64 (-.f64 x 2) x)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 x 216700011257/5000000000) (*.f64 x x))) x) 23533438303/500000000))
(/.f64 (.f64 y (.f64 (-.f64 x 2) x)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 x (+.f64 263505074721/1000000000 (*.f64 x 216700011257/5000000000)))) x) 23533438303/500000000))
(.f64 (+.f64 x -2) (/.f64 z (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)))
(/.f64 (.f64 z (-.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000))
(/.f64 (.f64 y (.f64 (-.f64 x 2) x)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000))
(.f64 (+.f64 x -2) (/.f64 (.f64 y x) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)))
(.f64 (+.f64 x -2) (+.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (.f64 x x)) (*.f64 (/.f64 1 x) (/.f64 (/.f64 -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 x) x)))))
(.f64 (+.f64 x -2) (+.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (.f64 x x)) (.f64 (/.f64 1 x) (/.f64 y (.f64 x x))))))

Outputs

(*.f64 (+.f64 x -2) (+.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (*.f64 x x)) (*.f64 (/.f64 1 x) (/.f64 y (*.f64 x x))))))

(/.f64 (*.f64 (-.f64 x 2) (+.f64 (*.f64 (+.f64 (*.f64 x 4297481763/31250000) y) x) z)) (+.f64 (*.f64 x 156699607947/500000000) 23533438303/500000000))

(*.f64 (+.f64 x -2) (+.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (*.f64 x x)) (*.f64 (/.f64 1 x) (/.f64 y (*.f64 x x))))))

Calls

3 calls:

514.0ms	z
362.0ms	y
314.0ms	x

Results

Error	Segments	Branch
1.4b	3	`x`
22.0b	10	`y`
19.7b	12	`z`

Compiler

Compiled 591 to 409 computations (30.8% saved)

bsearch104.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
64.0ms	43196.13065854334	65528137826899190.0
40.0ms	-5409.547712895577	-0.0015847288193473108

Compiler

Compiled 46 to 34 computations (26.1% saved)

regimes751.0ms (2.4%)

Counts

49 → 3

Calls

Call 1

Inputs
(/.f64 4297481763/31250000 x)
(/.f64 -4297481763/31250000 x)
(/.f64 4297481763/31250000 x)
(*.f64 z 500000000/156699607947)
(/.f64 12723143231740136880149/62500000000000000000 x)
(*.f64 z -1000000000/23533438303)
(*.f64 x 104109730557/25000000000)
(.f64 y (.f64 x -1000000000/23533438303))
(.f64 -1000000000/23533438303 (.f64 y x))
(/.f64 y (*.f64 x x))
(-.f64 (*.f64 104109730557/25000000000 x) 13764240537310136880149/125000000000000000000)
(+.f64 (/.f64 12723143231740136880149/62500000000000000000 x) -13764240537310136880149/125000000000000000000)
(-.f64 (*.f64 104109730557/25000000000 x) 13764240537310136880149/125000000000000000000)
(*.f64 (+.f64 x -2) 104109730557/25000000000)
(-.f64 (*.f64 104109730557/25000000000 x) 13764240537310136880149/125000000000000000000)
(.f64 z (+.f64 -1000000000/23533438303 (.f64 x 168466327098500000000/553822718361107519809)))
(/.f64 (*.f64 z (-.f64 x 2)) 23533438303/500000000)
(-.f64 (*.f64 12723143231740136880149/62500000000000000000 (/.f64 1 x)) 13764240537310136880149/125000000000000000000)
(.f64 z (+.f64 -1000000000/23533438303 (.f64 x 168466327098500000000/553822718361107519809)))
(.f64 (+.f64 x -2) (.f64 500000000/23533438303 z))
(-.f64 (+.f64 (*.f64 104109730557/25000000000 x) (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x)) 13764240537310136880149/125000000000000000000)
(*.f64 (+.f64 x -2) (-.f64 104109730557/25000000000 (/.f64 12723143231740136880149/125000000000000000000 x)))
(*.f64 (+.f64 x -2) (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)))
(.f64 y (+.f64 (.f64 x -1000000000/23533438303) (.f64 (.f64 x x) 168466327098500000000/553822718361107519809)))
(-.f64 (+.f64 (.f64 104109730557/25000000000 x) (.f64 2284450290879775841688574159837293/625000000000000000000000000000 (/.f64 1 x))) 13764240537310136880149/125000000000000000000)
(+.f64 (/.f64 4297481763/31250000 x) (/.f64 (+.f64 y -974239164048852206091/156250000000000000) (*.f64 x x)))
(/.f64 (.f64 z (-.f64 x 2)) (+.f64 (.f64 x 156699607947/500000000) 23533438303/500000000))
(-.f64 (+.f64 (.f64 104109730557/25000000000 x) (.f64 2284450290879775841688574159837293/625000000000000000000000000000 (/.f64 1 x))) 13764240537310136880149/125000000000000000000)
(.f64 (+.f64 x -2) (-.f64 104109730557/25000000000 (.f64 12723143231740136880149/125000000000000000000 (/.f64 1 x))))
(/.f64 (.f64 y (.f64 (-.f64 x 2) x)) (+.f64 (*.f64 x 156699607947/500000000) 23533438303/500000000))
(+.f64 (.f64 z 500000000/156699607947) (.f64 (/.f64 z x) (+.f64 -168466327098500000000/24554767130743505554809 (/.f64 3964591914905566753845500000000/3847722382617389411054987020467123 x))))
(+.f64 (.f64 (-.f64 (.f64 500000000/23533438303 z) (.f64 -156699607947000000000/553822718361107519809 z)) x) (.f64 -1000000000/23533438303 z))
(-.f64 (+.f64 (.f64 -1000000000/156699607947 (/.f64 z x)) (.f64 500000000/156699607947 z)) (*.f64 11766719151500000000/24554767130743505554809 (/.f64 z x)))
(/.f64 (.f64 z (-.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (*.f64 x 263505074721/1000000000)) x) 23533438303/500000000))
(.f64 (+.f64 x -2) (+.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (.f64 x x))))
(+.f64 (.f64 (-.f64 (.f64 500000000/23533438303 (+.f64 (.f64 -2 y) z)) (.f64 -156699607947000000000/553822718361107519809 z)) x) (*.f64 -1000000000/23533438303 z))
(/.f64 (.f64 y (.f64 (-.f64 x 2) x)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 x 263505074721/1000000000)) x) 23533438303/500000000))
(+.f64 (.f64 (-.f64 (.f64 500000000/23533438303 (+.f64 (.f64 -2 y) z)) (.f64 -156699607947000000000/553822718361107519809 z)) x) (*.f64 -1000000000/23533438303 z))
(.f64 (+.f64 x -2) (+.f64 (.f64 500000000/23533438303 z) (.f64 (-.f64 (.f64 500000000/23533438303 y) (*.f64 78349803973500000000/553822718361107519809 z)) x)))
(+.f64 (.f64 (-.f64 (.f64 500000000/23533438303 (+.f64 (.f64 -2 y) z)) (.f64 -156699607947000000000/553822718361107519809 z)) x) (*.f64 -1000000000/23533438303 z))
(/.f64 (.f64 (-.f64 x 2) (+.f64 (.f64 (+.f64 (.f64 x 4297481763/31250000) y) x) z)) (+.f64 (.f64 x 156699607947/500000000) 23533438303/500000000))
(/.f64 (.f64 z (-.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 x 216700011257/5000000000) (.f64 x x))) x) 23533438303/500000000))
(/.f64 (.f64 y (.f64 (-.f64 x 2) x)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 x 216700011257/5000000000) (*.f64 x x))) x) 23533438303/500000000))
(/.f64 (.f64 y (.f64 (-.f64 x 2) x)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 x (+.f64 263505074721/1000000000 (*.f64 x 216700011257/5000000000)))) x) 23533438303/500000000))
(.f64 (+.f64 x -2) (/.f64 z (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)))
(/.f64 (.f64 z (-.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000))
(/.f64 (.f64 y (.f64 (-.f64 x 2) x)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000))
(.f64 (+.f64 x -2) (/.f64 (.f64 y x) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)))
(.f64 (+.f64 x -2) (+.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (.f64 x x)) (*.f64 (/.f64 1 x) (/.f64 (/.f64 -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 x) x)))))

Outputs

(*.f64 (+.f64 x -2) (+.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (*.f64 x x)) (*.f64 (/.f64 1 x) (/.f64 (/.f64 -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 x) x)))))

(/.f64 (*.f64 (-.f64 x 2) (+.f64 (*.f64 (+.f64 (*.f64 x 4297481763/31250000) y) x) z)) (+.f64 (*.f64 x 156699607947/500000000) 23533438303/500000000))

(*.f64 x 104109730557/25000000000)

Calls

3 calls:

324.0ms	z
268.0ms	y
122.0ms	x

Results

Error	Segments	Branch
3.3b	3	`x`
22.0b	11	`y`
20.4b	12	`z`

Compiler

Compiled 566 to 395 computations (30.2% saved)

bsearch79.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
38.0ms	65528137826899190.0	1.2000796671222883e+38
40.0ms	-5409.547712895577	-0.0015847288193473108

Compiler

Compiled 46 to 34 computations (26.1% saved)

regimes724.0ms (2.3%)

Counts

48 → 3

Calls

Call 1

Inputs
(/.f64 4297481763/31250000 x)
(/.f64 -4297481763/31250000 x)
(/.f64 4297481763/31250000 x)
(*.f64 z 500000000/156699607947)
(/.f64 12723143231740136880149/62500000000000000000 x)
(*.f64 z -1000000000/23533438303)
(*.f64 x 104109730557/25000000000)
(.f64 y (.f64 x -1000000000/23533438303))
(.f64 -1000000000/23533438303 (.f64 y x))
(/.f64 y (*.f64 x x))
(-.f64 (*.f64 104109730557/25000000000 x) 13764240537310136880149/125000000000000000000)
(+.f64 (/.f64 12723143231740136880149/62500000000000000000 x) -13764240537310136880149/125000000000000000000)
(-.f64 (*.f64 104109730557/25000000000 x) 13764240537310136880149/125000000000000000000)
(*.f64 (+.f64 x -2) 104109730557/25000000000)
(-.f64 (*.f64 104109730557/25000000000 x) 13764240537310136880149/125000000000000000000)
(.f64 z (+.f64 -1000000000/23533438303 (.f64 x 168466327098500000000/553822718361107519809)))
(/.f64 (*.f64 z (-.f64 x 2)) 23533438303/500000000)
(-.f64 (*.f64 12723143231740136880149/62500000000000000000 (/.f64 1 x)) 13764240537310136880149/125000000000000000000)
(.f64 z (+.f64 -1000000000/23533438303 (.f64 x 168466327098500000000/553822718361107519809)))
(.f64 (+.f64 x -2) (.f64 500000000/23533438303 z))
(-.f64 (+.f64 (*.f64 104109730557/25000000000 x) (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x)) 13764240537310136880149/125000000000000000000)
(*.f64 (+.f64 x -2) (-.f64 104109730557/25000000000 (/.f64 12723143231740136880149/125000000000000000000 x)))
(*.f64 (+.f64 x -2) (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)))
(.f64 y (+.f64 (.f64 x -1000000000/23533438303) (.f64 (.f64 x x) 168466327098500000000/553822718361107519809)))
(-.f64 (+.f64 (.f64 104109730557/25000000000 x) (.f64 2284450290879775841688574159837293/625000000000000000000000000000 (/.f64 1 x))) 13764240537310136880149/125000000000000000000)
(+.f64 (/.f64 4297481763/31250000 x) (/.f64 (+.f64 y -974239164048852206091/156250000000000000) (*.f64 x x)))
(/.f64 (.f64 z (-.f64 x 2)) (+.f64 (.f64 x 156699607947/500000000) 23533438303/500000000))
(-.f64 (+.f64 (.f64 104109730557/25000000000 x) (.f64 2284450290879775841688574159837293/625000000000000000000000000000 (/.f64 1 x))) 13764240537310136880149/125000000000000000000)
(.f64 (+.f64 x -2) (-.f64 104109730557/25000000000 (.f64 12723143231740136880149/125000000000000000000 (/.f64 1 x))))
(/.f64 (.f64 y (.f64 (-.f64 x 2) x)) (+.f64 (*.f64 x 156699607947/500000000) 23533438303/500000000))
(+.f64 (.f64 z 500000000/156699607947) (.f64 (/.f64 z x) (+.f64 -168466327098500000000/24554767130743505554809 (/.f64 3964591914905566753845500000000/3847722382617389411054987020467123 x))))
(+.f64 (.f64 (-.f64 (.f64 500000000/23533438303 z) (.f64 -156699607947000000000/553822718361107519809 z)) x) (.f64 -1000000000/23533438303 z))
(-.f64 (+.f64 (.f64 -1000000000/156699607947 (/.f64 z x)) (.f64 500000000/156699607947 z)) (*.f64 11766719151500000000/24554767130743505554809 (/.f64 z x)))
(/.f64 (.f64 z (-.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (*.f64 x 263505074721/1000000000)) x) 23533438303/500000000))
(.f64 (+.f64 x -2) (+.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (.f64 x x))))
(+.f64 (.f64 (-.f64 (.f64 500000000/23533438303 (+.f64 (.f64 -2 y) z)) (.f64 -156699607947000000000/553822718361107519809 z)) x) (*.f64 -1000000000/23533438303 z))
(/.f64 (.f64 y (.f64 (-.f64 x 2) x)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 x 263505074721/1000000000)) x) 23533438303/500000000))
(+.f64 (.f64 (-.f64 (.f64 500000000/23533438303 (+.f64 (.f64 -2 y) z)) (.f64 -156699607947000000000/553822718361107519809 z)) x) (*.f64 -1000000000/23533438303 z))
(.f64 (+.f64 x -2) (+.f64 (.f64 500000000/23533438303 z) (.f64 (-.f64 (.f64 500000000/23533438303 y) (*.f64 78349803973500000000/553822718361107519809 z)) x)))
(+.f64 (.f64 (-.f64 (.f64 500000000/23533438303 (+.f64 (.f64 -2 y) z)) (.f64 -156699607947000000000/553822718361107519809 z)) x) (*.f64 -1000000000/23533438303 z))
(/.f64 (.f64 (-.f64 x 2) (+.f64 (.f64 (+.f64 (.f64 x 4297481763/31250000) y) x) z)) (+.f64 (.f64 x 156699607947/500000000) 23533438303/500000000))
(/.f64 (.f64 z (-.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 x 216700011257/5000000000) (.f64 x x))) x) 23533438303/500000000))
(/.f64 (.f64 y (.f64 (-.f64 x 2) x)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 x 216700011257/5000000000) (*.f64 x x))) x) 23533438303/500000000))
(/.f64 (.f64 y (.f64 (-.f64 x 2) x)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 x (+.f64 263505074721/1000000000 (*.f64 x 216700011257/5000000000)))) x) 23533438303/500000000))
(.f64 (+.f64 x -2) (/.f64 z (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)))
(/.f64 (.f64 z (-.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000))
(/.f64 (.f64 y (.f64 (-.f64 x 2) x)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000))
(.f64 (+.f64 x -2) (/.f64 (.f64 y x) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)))

Outputs

(*.f64 (+.f64 x -2) (+.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (*.f64 x x))))

(/.f64 (*.f64 (-.f64 x 2) (+.f64 (*.f64 (+.f64 (*.f64 x 4297481763/31250000) y) x) z)) (+.f64 (*.f64 x 156699607947/500000000) 23533438303/500000000))

(*.f64 x 104109730557/25000000000)

Calls

3 calls:

361.0ms	z
265.0ms	y
80.0ms	x

Results

Error	Segments	Branch
3.3b	3	`x`
22.0b	11	`y`
20.4b	12	`z`

Compiler

Compiled 541 to 378 computations (30.1% saved)

bsearch75.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
36.0ms	65528137826899190.0	1.2000796671222883e+38
38.0ms	-5409.547712895577	-0.0015847288193473108

Compiler

Compiled 46 to 34 computations (26.1% saved)

regimes632.0ms (2%)

Counts

40 → 3

Calls

Call 1

Inputs
(/.f64 4297481763/31250000 x)
(/.f64 -4297481763/31250000 x)
(/.f64 4297481763/31250000 x)
(*.f64 z 500000000/156699607947)
(/.f64 12723143231740136880149/62500000000000000000 x)
(*.f64 z -1000000000/23533438303)
(*.f64 x 104109730557/25000000000)
(.f64 y (.f64 x -1000000000/23533438303))
(.f64 -1000000000/23533438303 (.f64 y x))
(/.f64 y (*.f64 x x))
(-.f64 (*.f64 104109730557/25000000000 x) 13764240537310136880149/125000000000000000000)
(+.f64 (/.f64 12723143231740136880149/62500000000000000000 x) -13764240537310136880149/125000000000000000000)
(-.f64 (*.f64 104109730557/25000000000 x) 13764240537310136880149/125000000000000000000)
(*.f64 (+.f64 x -2) 104109730557/25000000000)
(-.f64 (*.f64 104109730557/25000000000 x) 13764240537310136880149/125000000000000000000)
(.f64 z (+.f64 -1000000000/23533438303 (.f64 x 168466327098500000000/553822718361107519809)))
(/.f64 (*.f64 z (-.f64 x 2)) 23533438303/500000000)
(-.f64 (*.f64 12723143231740136880149/62500000000000000000 (/.f64 1 x)) 13764240537310136880149/125000000000000000000)
(.f64 z (+.f64 -1000000000/23533438303 (.f64 x 168466327098500000000/553822718361107519809)))
(.f64 (+.f64 x -2) (.f64 500000000/23533438303 z))
(-.f64 (+.f64 (*.f64 104109730557/25000000000 x) (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x)) 13764240537310136880149/125000000000000000000)
(*.f64 (+.f64 x -2) (-.f64 104109730557/25000000000 (/.f64 12723143231740136880149/125000000000000000000 x)))
(*.f64 (+.f64 x -2) (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)))
(.f64 y (+.f64 (.f64 x -1000000000/23533438303) (.f64 (.f64 x x) 168466327098500000000/553822718361107519809)))
(-.f64 (+.f64 (.f64 104109730557/25000000000 x) (.f64 2284450290879775841688574159837293/625000000000000000000000000000 (/.f64 1 x))) 13764240537310136880149/125000000000000000000)
(+.f64 (/.f64 4297481763/31250000 x) (/.f64 (+.f64 y -974239164048852206091/156250000000000000) (*.f64 x x)))
(/.f64 (.f64 z (-.f64 x 2)) (+.f64 (.f64 x 156699607947/500000000) 23533438303/500000000))
(-.f64 (+.f64 (.f64 104109730557/25000000000 x) (.f64 2284450290879775841688574159837293/625000000000000000000000000000 (/.f64 1 x))) 13764240537310136880149/125000000000000000000)
(.f64 (+.f64 x -2) (-.f64 104109730557/25000000000 (.f64 12723143231740136880149/125000000000000000000 (/.f64 1 x))))
(/.f64 (.f64 y (.f64 (-.f64 x 2) x)) (+.f64 (*.f64 x 156699607947/500000000) 23533438303/500000000))
(+.f64 (.f64 z 500000000/156699607947) (.f64 (/.f64 z x) (+.f64 -168466327098500000000/24554767130743505554809 (/.f64 3964591914905566753845500000000/3847722382617389411054987020467123 x))))
(+.f64 (.f64 (-.f64 (.f64 500000000/23533438303 z) (.f64 -156699607947000000000/553822718361107519809 z)) x) (.f64 -1000000000/23533438303 z))
(-.f64 (+.f64 (.f64 -1000000000/156699607947 (/.f64 z x)) (.f64 500000000/156699607947 z)) (*.f64 11766719151500000000/24554767130743505554809 (/.f64 z x)))
(/.f64 (.f64 z (-.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (*.f64 x 263505074721/1000000000)) x) 23533438303/500000000))
(.f64 (+.f64 x -2) (+.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (.f64 x x))))
(+.f64 (.f64 (-.f64 (.f64 500000000/23533438303 (+.f64 (.f64 -2 y) z)) (.f64 -156699607947000000000/553822718361107519809 z)) x) (*.f64 -1000000000/23533438303 z))
(/.f64 (.f64 y (.f64 (-.f64 x 2) x)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 x 263505074721/1000000000)) x) 23533438303/500000000))
(+.f64 (.f64 (-.f64 (.f64 500000000/23533438303 (+.f64 (.f64 -2 y) z)) (.f64 -156699607947000000000/553822718361107519809 z)) x) (*.f64 -1000000000/23533438303 z))
(.f64 (+.f64 x -2) (+.f64 (.f64 500000000/23533438303 z) (.f64 (-.f64 (.f64 500000000/23533438303 y) (*.f64 78349803973500000000/553822718361107519809 z)) x)))
(+.f64 (.f64 (-.f64 (.f64 500000000/23533438303 (+.f64 (.f64 -2 y) z)) (.f64 -156699607947000000000/553822718361107519809 z)) x) (*.f64 -1000000000/23533438303 z))

Outputs

(*.f64 (+.f64 x -2) (+.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (*.f64 x x))))

(+.f64 (*.f64 (-.f64 (*.f64 500000000/23533438303 (+.f64 (*.f64 -2 y) z)) (*.f64 -156699607947000000000/553822718361107519809 z)) x) (*.f64 -1000000000/23533438303 z))

(*.f64 x 104109730557/25000000000)

Calls

3 calls:

291.0ms	y
260.0ms	z
68.0ms	x

Results

Error	Segments	Branch
5.8b	3	`x`
23.8b	12	`y`
22.6b	12	`z`

Compiler

Compiled 373 to 264 computations (29.2% saved)

bsearch75.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
36.0ms	43196.13065854334	65528137826899190.0
38.0ms	-5409.547712895577	-0.0015847288193473108

Compiler

Compiled 46 to 34 computations (26.1% saved)

regimes388.0ms (1.2%)

Counts

35 → 6

Calls

Call 1

Inputs
(/.f64 4297481763/31250000 x)
(/.f64 -4297481763/31250000 x)
(/.f64 4297481763/31250000 x)
(*.f64 z 500000000/156699607947)
(/.f64 12723143231740136880149/62500000000000000000 x)
(*.f64 z -1000000000/23533438303)
(*.f64 x 104109730557/25000000000)
(.f64 y (.f64 x -1000000000/23533438303))
(.f64 -1000000000/23533438303 (.f64 y x))
(/.f64 y (*.f64 x x))
(-.f64 (*.f64 104109730557/25000000000 x) 13764240537310136880149/125000000000000000000)
(+.f64 (/.f64 12723143231740136880149/62500000000000000000 x) -13764240537310136880149/125000000000000000000)
(-.f64 (*.f64 104109730557/25000000000 x) 13764240537310136880149/125000000000000000000)
(*.f64 (+.f64 x -2) 104109730557/25000000000)
(-.f64 (*.f64 104109730557/25000000000 x) 13764240537310136880149/125000000000000000000)
(.f64 z (+.f64 -1000000000/23533438303 (.f64 x 168466327098500000000/553822718361107519809)))
(/.f64 (*.f64 z (-.f64 x 2)) 23533438303/500000000)
(-.f64 (*.f64 12723143231740136880149/62500000000000000000 (/.f64 1 x)) 13764240537310136880149/125000000000000000000)
(.f64 z (+.f64 -1000000000/23533438303 (.f64 x 168466327098500000000/553822718361107519809)))
(.f64 (+.f64 x -2) (.f64 500000000/23533438303 z))
(-.f64 (+.f64 (*.f64 104109730557/25000000000 x) (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x)) 13764240537310136880149/125000000000000000000)
(*.f64 (+.f64 x -2) (-.f64 104109730557/25000000000 (/.f64 12723143231740136880149/125000000000000000000 x)))
(*.f64 (+.f64 x -2) (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)))
(.f64 y (+.f64 (.f64 x -1000000000/23533438303) (.f64 (.f64 x x) 168466327098500000000/553822718361107519809)))
(-.f64 (+.f64 (.f64 104109730557/25000000000 x) (.f64 2284450290879775841688574159837293/625000000000000000000000000000 (/.f64 1 x))) 13764240537310136880149/125000000000000000000)
(+.f64 (/.f64 4297481763/31250000 x) (/.f64 (+.f64 y -974239164048852206091/156250000000000000) (*.f64 x x)))
(/.f64 (.f64 z (-.f64 x 2)) (+.f64 (.f64 x 156699607947/500000000) 23533438303/500000000))
(-.f64 (+.f64 (.f64 104109730557/25000000000 x) (.f64 2284450290879775841688574159837293/625000000000000000000000000000 (/.f64 1 x))) 13764240537310136880149/125000000000000000000)
(.f64 (+.f64 x -2) (-.f64 104109730557/25000000000 (.f64 12723143231740136880149/125000000000000000000 (/.f64 1 x))))
(/.f64 (.f64 y (.f64 (-.f64 x 2) x)) (+.f64 (*.f64 x 156699607947/500000000) 23533438303/500000000))
(+.f64 (.f64 z 500000000/156699607947) (.f64 (/.f64 z x) (+.f64 -168466327098500000000/24554767130743505554809 (/.f64 3964591914905566753845500000000/3847722382617389411054987020467123 x))))
(+.f64 (.f64 (-.f64 (.f64 500000000/23533438303 z) (.f64 -156699607947000000000/553822718361107519809 z)) x) (.f64 -1000000000/23533438303 z))
(-.f64 (+.f64 (.f64 -1000000000/156699607947 (/.f64 z x)) (.f64 500000000/156699607947 z)) (*.f64 11766719151500000000/24554767130743505554809 (/.f64 z x)))
(/.f64 (.f64 z (-.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (*.f64 x 263505074721/1000000000)) x) 23533438303/500000000))
(.f64 (+.f64 x -2) (+.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (.f64 x x))))

Outputs
(.f64 (+.f64 x -2) (+.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (.f64 x x))))
(/.f64 (.f64 y (.f64 (-.f64 x 2) x)) (+.f64 (*.f64 x 156699607947/500000000) 23533438303/500000000))
(/.f64 (*.f64 z (-.f64 x 2)) 23533438303/500000000)
(/.f64 (.f64 y (.f64 (-.f64 x 2) x)) (+.f64 (*.f64 x 156699607947/500000000) 23533438303/500000000))
(/.f64 (.f64 z (-.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (*.f64 x 263505074721/1000000000)) x) 23533438303/500000000))
(*.f64 x 104109730557/25000000000)

Calls

3 calls:

154.0ms	y
127.0ms	z
97.0ms	x

Results

Error	Segments	Branch
11.5b	6	`x`
29.0b	10	`y`
27.8b	8	`z`

Compiler

Compiled 288 to 204 computations (29.2% saved)

bsearch188.0ms (0.6%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
37.0ms	65528137826899190.0	1.2000796671222883e+38
38.0ms	1.1607294525970107e-27	5.0854284218421e-24
37.0ms	8.630760900226647e-106	5.117916440793872e-95
38.0ms	-1.345438050234845e-90	-6.452062074649063e-96
38.0ms	-5409.547712895577	-0.0015847288193473108

Compiler

Compiled 46 to 34 computations (26.1% saved)

regimes403.0ms (1.3%)

Counts

34 → 6

Calls

Call 1

Inputs
(/.f64 4297481763/31250000 x)
(/.f64 -4297481763/31250000 x)
(/.f64 4297481763/31250000 x)
(*.f64 z 500000000/156699607947)
(/.f64 12723143231740136880149/62500000000000000000 x)
(*.f64 z -1000000000/23533438303)
(*.f64 x 104109730557/25000000000)
(.f64 y (.f64 x -1000000000/23533438303))
(.f64 -1000000000/23533438303 (.f64 y x))
(/.f64 y (*.f64 x x))
(-.f64 (*.f64 104109730557/25000000000 x) 13764240537310136880149/125000000000000000000)
(+.f64 (/.f64 12723143231740136880149/62500000000000000000 x) -13764240537310136880149/125000000000000000000)
(-.f64 (*.f64 104109730557/25000000000 x) 13764240537310136880149/125000000000000000000)
(*.f64 (+.f64 x -2) 104109730557/25000000000)
(-.f64 (*.f64 104109730557/25000000000 x) 13764240537310136880149/125000000000000000000)
(.f64 z (+.f64 -1000000000/23533438303 (.f64 x 168466327098500000000/553822718361107519809)))
(/.f64 (*.f64 z (-.f64 x 2)) 23533438303/500000000)
(-.f64 (*.f64 12723143231740136880149/62500000000000000000 (/.f64 1 x)) 13764240537310136880149/125000000000000000000)
(.f64 z (+.f64 -1000000000/23533438303 (.f64 x 168466327098500000000/553822718361107519809)))
(.f64 (+.f64 x -2) (.f64 500000000/23533438303 z))
(-.f64 (+.f64 (*.f64 104109730557/25000000000 x) (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x)) 13764240537310136880149/125000000000000000000)
(*.f64 (+.f64 x -2) (-.f64 104109730557/25000000000 (/.f64 12723143231740136880149/125000000000000000000 x)))
(*.f64 (+.f64 x -2) (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)))
(.f64 y (+.f64 (.f64 x -1000000000/23533438303) (.f64 (.f64 x x) 168466327098500000000/553822718361107519809)))
(-.f64 (+.f64 (.f64 104109730557/25000000000 x) (.f64 2284450290879775841688574159837293/625000000000000000000000000000 (/.f64 1 x))) 13764240537310136880149/125000000000000000000)
(+.f64 (/.f64 4297481763/31250000 x) (/.f64 (+.f64 y -974239164048852206091/156250000000000000) (*.f64 x x)))
(/.f64 (.f64 z (-.f64 x 2)) (+.f64 (.f64 x 156699607947/500000000) 23533438303/500000000))
(-.f64 (+.f64 (.f64 104109730557/25000000000 x) (.f64 2284450290879775841688574159837293/625000000000000000000000000000 (/.f64 1 x))) 13764240537310136880149/125000000000000000000)
(.f64 (+.f64 x -2) (-.f64 104109730557/25000000000 (.f64 12723143231740136880149/125000000000000000000 (/.f64 1 x))))
(/.f64 (.f64 y (.f64 (-.f64 x 2) x)) (+.f64 (*.f64 x 156699607947/500000000) 23533438303/500000000))
(+.f64 (.f64 z 500000000/156699607947) (.f64 (/.f64 z x) (+.f64 -168466327098500000000/24554767130743505554809 (/.f64 3964591914905566753845500000000/3847722382617389411054987020467123 x))))
(+.f64 (.f64 (-.f64 (.f64 500000000/23533438303 z) (.f64 -156699607947000000000/553822718361107519809 z)) x) (.f64 -1000000000/23533438303 z))
(-.f64 (+.f64 (.f64 -1000000000/156699607947 (/.f64 z x)) (.f64 500000000/156699607947 z)) (*.f64 11766719151500000000/24554767130743505554809 (/.f64 z x)))
(/.f64 (.f64 z (-.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (*.f64 x 263505074721/1000000000)) x) 23533438303/500000000))

Outputs
(-.f64 (+.f64 (*.f64 104109730557/25000000000 x) (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x)) 13764240537310136880149/125000000000000000000)
(/.f64 (.f64 y (.f64 (-.f64 x 2) x)) (+.f64 (*.f64 x 156699607947/500000000) 23533438303/500000000))
(/.f64 (*.f64 z (-.f64 x 2)) 23533438303/500000000)
(/.f64 (.f64 y (.f64 (-.f64 x 2) x)) (+.f64 (*.f64 x 156699607947/500000000) 23533438303/500000000))
(/.f64 (.f64 z (-.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (*.f64 x 263505074721/1000000000)) x) 23533438303/500000000))
(*.f64 x 104109730557/25000000000)

Calls

3 calls:

153.0ms	y
140.0ms	z
99.0ms	x

Results

Error	Segments	Branch
11.5b	6	`x`
29.0b	10	`y`
27.8b	8	`z`

Compiler

Compiled 273 to 194 computations (28.9% saved)

bsearch458.0ms (1.4%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
83.0ms	65528137826899190.0	1.2000796671222883e+38
156.0ms	1.1607294525970107e-27	5.0854284218421e-24
142.0ms	8.630760900226647e-106	5.117916440793872e-95
38.0ms	-1.345438050234845e-90	-6.452062074649063e-96
38.0ms	-5409.547712895577	-0.0015847288193473108

Compiler

Compiled 46 to 34 computations (26.1% saved)

regimes540.0ms (1.7%)

Counts

33 → 6

Calls

Call 1

Inputs
(/.f64 4297481763/31250000 x)
(/.f64 -4297481763/31250000 x)
(/.f64 4297481763/31250000 x)
(*.f64 z 500000000/156699607947)
(/.f64 12723143231740136880149/62500000000000000000 x)
(*.f64 z -1000000000/23533438303)
(*.f64 x 104109730557/25000000000)
(.f64 y (.f64 x -1000000000/23533438303))
(.f64 -1000000000/23533438303 (.f64 y x))
(/.f64 y (*.f64 x x))
(-.f64 (*.f64 104109730557/25000000000 x) 13764240537310136880149/125000000000000000000)
(+.f64 (/.f64 12723143231740136880149/62500000000000000000 x) -13764240537310136880149/125000000000000000000)
(-.f64 (*.f64 104109730557/25000000000 x) 13764240537310136880149/125000000000000000000)
(*.f64 (+.f64 x -2) 104109730557/25000000000)
(-.f64 (*.f64 104109730557/25000000000 x) 13764240537310136880149/125000000000000000000)
(.f64 z (+.f64 -1000000000/23533438303 (.f64 x 168466327098500000000/553822718361107519809)))
(/.f64 (*.f64 z (-.f64 x 2)) 23533438303/500000000)
(-.f64 (*.f64 12723143231740136880149/62500000000000000000 (/.f64 1 x)) 13764240537310136880149/125000000000000000000)
(.f64 z (+.f64 -1000000000/23533438303 (.f64 x 168466327098500000000/553822718361107519809)))
(.f64 (+.f64 x -2) (.f64 500000000/23533438303 z))
(-.f64 (+.f64 (*.f64 104109730557/25000000000 x) (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x)) 13764240537310136880149/125000000000000000000)
(*.f64 (+.f64 x -2) (-.f64 104109730557/25000000000 (/.f64 12723143231740136880149/125000000000000000000 x)))
(*.f64 (+.f64 x -2) (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)))
(.f64 y (+.f64 (.f64 x -1000000000/23533438303) (.f64 (.f64 x x) 168466327098500000000/553822718361107519809)))
(-.f64 (+.f64 (.f64 104109730557/25000000000 x) (.f64 2284450290879775841688574159837293/625000000000000000000000000000 (/.f64 1 x))) 13764240537310136880149/125000000000000000000)
(+.f64 (/.f64 4297481763/31250000 x) (/.f64 (+.f64 y -974239164048852206091/156250000000000000) (*.f64 x x)))
(/.f64 (.f64 z (-.f64 x 2)) (+.f64 (.f64 x 156699607947/500000000) 23533438303/500000000))
(-.f64 (+.f64 (.f64 104109730557/25000000000 x) (.f64 2284450290879775841688574159837293/625000000000000000000000000000 (/.f64 1 x))) 13764240537310136880149/125000000000000000000)
(.f64 (+.f64 x -2) (-.f64 104109730557/25000000000 (.f64 12723143231740136880149/125000000000000000000 (/.f64 1 x))))
(/.f64 (.f64 y (.f64 (-.f64 x 2) x)) (+.f64 (*.f64 x 156699607947/500000000) 23533438303/500000000))
(+.f64 (.f64 z 500000000/156699607947) (.f64 (/.f64 z x) (+.f64 -168466327098500000000/24554767130743505554809 (/.f64 3964591914905566753845500000000/3847722382617389411054987020467123 x))))
(+.f64 (.f64 (-.f64 (.f64 500000000/23533438303 z) (.f64 -156699607947000000000/553822718361107519809 z)) x) (.f64 -1000000000/23533438303 z))
(-.f64 (+.f64 (.f64 -1000000000/156699607947 (/.f64 z x)) (.f64 500000000/156699607947 z)) (*.f64 11766719151500000000/24554767130743505554809 (/.f64 z x)))

Outputs
(-.f64 (+.f64 (*.f64 104109730557/25000000000 x) (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x)) 13764240537310136880149/125000000000000000000)
(/.f64 (.f64 y (.f64 (-.f64 x 2) x)) (+.f64 (*.f64 x 156699607947/500000000) 23533438303/500000000))
(/.f64 (*.f64 z (-.f64 x 2)) 23533438303/500000000)
(/.f64 (.f64 y (.f64 (-.f64 x 2) x)) (+.f64 (*.f64 x 156699607947/500000000) 23533438303/500000000))
(/.f64 (.f64 z (-.f64 x 2)) (+.f64 (.f64 x 156699607947/500000000) 23533438303/500000000))
(*.f64 x 104109730557/25000000000)

Calls

3 calls:

200.0ms	y
172.0ms	z
158.0ms	x

Results

Error	Segments	Branch
11.6b	6	`x`
29.1b	10	`y`
27.8b	8	`z`

Compiler

Compiled 258 to 183 computations (29.1% saved)

bsearch233.0ms (0.7%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
36.0ms	65528137826899190.0	1.2000796671222883e+38
64.0ms	1.1607294525970107e-27	5.0854284218421e-24
58.0ms	8.630760900226647e-106	5.117916440793872e-95
37.0ms	-1.345438050234845e-90	-6.452062074649063e-96
37.0ms	-5409.547712895577	-0.0015847288193473108

Compiler

Compiled 46 to 34 computations (26.1% saved)

regimes598.0ms (1.9%)

Counts

29 → 6

Calls

Call 1

Inputs
(/.f64 4297481763/31250000 x)
(/.f64 -4297481763/31250000 x)
(/.f64 4297481763/31250000 x)
(*.f64 z 500000000/156699607947)
(/.f64 12723143231740136880149/62500000000000000000 x)
(*.f64 z -1000000000/23533438303)
(*.f64 x 104109730557/25000000000)
(.f64 y (.f64 x -1000000000/23533438303))
(.f64 -1000000000/23533438303 (.f64 y x))
(/.f64 y (*.f64 x x))
(-.f64 (*.f64 104109730557/25000000000 x) 13764240537310136880149/125000000000000000000)
(+.f64 (/.f64 12723143231740136880149/62500000000000000000 x) -13764240537310136880149/125000000000000000000)
(-.f64 (*.f64 104109730557/25000000000 x) 13764240537310136880149/125000000000000000000)
(*.f64 (+.f64 x -2) 104109730557/25000000000)
(-.f64 (*.f64 104109730557/25000000000 x) 13764240537310136880149/125000000000000000000)
(.f64 z (+.f64 -1000000000/23533438303 (.f64 x 168466327098500000000/553822718361107519809)))
(/.f64 (*.f64 z (-.f64 x 2)) 23533438303/500000000)
(-.f64 (*.f64 12723143231740136880149/62500000000000000000 (/.f64 1 x)) 13764240537310136880149/125000000000000000000)
(.f64 z (+.f64 -1000000000/23533438303 (.f64 x 168466327098500000000/553822718361107519809)))
(.f64 (+.f64 x -2) (.f64 500000000/23533438303 z))
(-.f64 (+.f64 (*.f64 104109730557/25000000000 x) (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x)) 13764240537310136880149/125000000000000000000)
(*.f64 (+.f64 x -2) (-.f64 104109730557/25000000000 (/.f64 12723143231740136880149/125000000000000000000 x)))
(*.f64 (+.f64 x -2) (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)))
(.f64 y (+.f64 (.f64 x -1000000000/23533438303) (.f64 (.f64 x x) 168466327098500000000/553822718361107519809)))
(-.f64 (+.f64 (.f64 104109730557/25000000000 x) (.f64 2284450290879775841688574159837293/625000000000000000000000000000 (/.f64 1 x))) 13764240537310136880149/125000000000000000000)
(+.f64 (/.f64 4297481763/31250000 x) (/.f64 (+.f64 y -974239164048852206091/156250000000000000) (*.f64 x x)))
(/.f64 (.f64 z (-.f64 x 2)) (+.f64 (.f64 x 156699607947/500000000) 23533438303/500000000))
(-.f64 (+.f64 (.f64 104109730557/25000000000 x) (.f64 2284450290879775841688574159837293/625000000000000000000000000000 (/.f64 1 x))) 13764240537310136880149/125000000000000000000)
(.f64 (+.f64 x -2) (-.f64 104109730557/25000000000 (.f64 12723143231740136880149/125000000000000000000 (/.f64 1 x))))

Outputs
(-.f64 (+.f64 (*.f64 104109730557/25000000000 x) (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x)) 13764240537310136880149/125000000000000000000)
(.f64 y (+.f64 (.f64 x -1000000000/23533438303) (.f64 (.f64 x x) 168466327098500000000/553822718361107519809)))
(/.f64 (*.f64 z (-.f64 x 2)) 23533438303/500000000)
(.f64 -1000000000/23533438303 (.f64 y x))
(/.f64 (.f64 z (-.f64 x 2)) (+.f64 (.f64 x 156699607947/500000000) 23533438303/500000000))
(*.f64 x 104109730557/25000000000)

Calls

3 calls:

254.0ms	x
171.0ms	y
164.0ms	z

Results

Error	Segments	Branch
11.6b	6	`x`
29.1b	10	`y`
27.8b	8	`z`

Compiler

Compiled 204 to 148 computations (27.5% saved)

bsearch214.0ms (0.7%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
36.0ms	65528137826899190.0	1.2000796671222883e+38
41.0ms	1.1607294525970107e-27	5.0854284218421e-24
41.0ms	8.630760900226647e-106	5.117916440793872e-95
41.0ms	-1.345438050234845e-90	-6.452062074649063e-96
54.0ms	-5409.547712895577	-0.0015847288193473108

Compiler

Compiled 46 to 34 computations (26.1% saved)

regimes499.0ms (1.6%)

Counts

26 → 6

Calls

Call 1

Inputs
(/.f64 4297481763/31250000 x)
(/.f64 -4297481763/31250000 x)
(/.f64 4297481763/31250000 x)
(*.f64 z 500000000/156699607947)
(/.f64 12723143231740136880149/62500000000000000000 x)
(*.f64 z -1000000000/23533438303)
(*.f64 x 104109730557/25000000000)
(.f64 y (.f64 x -1000000000/23533438303))
(.f64 -1000000000/23533438303 (.f64 y x))
(/.f64 y (*.f64 x x))
(-.f64 (*.f64 104109730557/25000000000 x) 13764240537310136880149/125000000000000000000)
(+.f64 (/.f64 12723143231740136880149/62500000000000000000 x) -13764240537310136880149/125000000000000000000)
(-.f64 (*.f64 104109730557/25000000000 x) 13764240537310136880149/125000000000000000000)
(*.f64 (+.f64 x -2) 104109730557/25000000000)
(-.f64 (*.f64 104109730557/25000000000 x) 13764240537310136880149/125000000000000000000)
(.f64 z (+.f64 -1000000000/23533438303 (.f64 x 168466327098500000000/553822718361107519809)))
(/.f64 (*.f64 z (-.f64 x 2)) 23533438303/500000000)
(-.f64 (*.f64 12723143231740136880149/62500000000000000000 (/.f64 1 x)) 13764240537310136880149/125000000000000000000)
(.f64 z (+.f64 -1000000000/23533438303 (.f64 x 168466327098500000000/553822718361107519809)))
(.f64 (+.f64 x -2) (.f64 500000000/23533438303 z))
(-.f64 (+.f64 (*.f64 104109730557/25000000000 x) (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x)) 13764240537310136880149/125000000000000000000)
(*.f64 (+.f64 x -2) (-.f64 104109730557/25000000000 (/.f64 12723143231740136880149/125000000000000000000 x)))
(*.f64 (+.f64 x -2) (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)))
(.f64 y (+.f64 (.f64 x -1000000000/23533438303) (.f64 (.f64 x x) 168466327098500000000/553822718361107519809)))
(-.f64 (+.f64 (.f64 104109730557/25000000000 x) (.f64 2284450290879775841688574159837293/625000000000000000000000000000 (/.f64 1 x))) 13764240537310136880149/125000000000000000000)
(+.f64 (/.f64 4297481763/31250000 x) (/.f64 (+.f64 y -974239164048852206091/156250000000000000) (*.f64 x x)))

Outputs
(-.f64 (+.f64 (*.f64 104109730557/25000000000 x) (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x)) 13764240537310136880149/125000000000000000000)
(.f64 y (+.f64 (.f64 x -1000000000/23533438303) (.f64 (.f64 x x) 168466327098500000000/553822718361107519809)))
(/.f64 (*.f64 z (-.f64 x 2)) 23533438303/500000000)
(.f64 -1000000000/23533438303 (.f64 y x))
(.f64 z (+.f64 -1000000000/23533438303 (.f64 x 168466327098500000000/553822718361107519809)))
(*.f64 x 104109730557/25000000000)

Calls

3 calls:

204.0ms	y
153.0ms	z
135.0ms	x

Results

Error	Segments	Branch
11.6b	6	`x`
29.1b	10	`y`
27.8b	8	`z`

Compiler

Compiled 171 to 122 computations (28.7% saved)

bsearch271.0ms (0.9%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
44.0ms	65528137826899190.0	1.2000796671222883e+38
42.0ms	1.1607294525970107e-27	5.0854284218421e-24
86.0ms	8.630760900226647e-106	5.117916440793872e-95
57.0ms	-1.345438050234845e-90	-6.452062074649063e-96
41.0ms	-5409.547712895577	-0.0015847288193473108

Compiler

Compiled 46 to 34 computations (26.1% saved)

regimes664.0ms (2.1%)

Counts

23 → 6

Calls

Call 1

Inputs
(/.f64 4297481763/31250000 x)
(/.f64 -4297481763/31250000 x)
(/.f64 4297481763/31250000 x)
(*.f64 z 500000000/156699607947)
(/.f64 12723143231740136880149/62500000000000000000 x)
(*.f64 z -1000000000/23533438303)
(*.f64 x 104109730557/25000000000)
(.f64 y (.f64 x -1000000000/23533438303))
(.f64 -1000000000/23533438303 (.f64 y x))
(/.f64 y (*.f64 x x))
(-.f64 (*.f64 104109730557/25000000000 x) 13764240537310136880149/125000000000000000000)
(+.f64 (/.f64 12723143231740136880149/62500000000000000000 x) -13764240537310136880149/125000000000000000000)
(-.f64 (*.f64 104109730557/25000000000 x) 13764240537310136880149/125000000000000000000)
(*.f64 (+.f64 x -2) 104109730557/25000000000)
(-.f64 (*.f64 104109730557/25000000000 x) 13764240537310136880149/125000000000000000000)
(.f64 z (+.f64 -1000000000/23533438303 (.f64 x 168466327098500000000/553822718361107519809)))
(/.f64 (*.f64 z (-.f64 x 2)) 23533438303/500000000)
(-.f64 (*.f64 12723143231740136880149/62500000000000000000 (/.f64 1 x)) 13764240537310136880149/125000000000000000000)
(.f64 z (+.f64 -1000000000/23533438303 (.f64 x 168466327098500000000/553822718361107519809)))
(.f64 (+.f64 x -2) (.f64 500000000/23533438303 z))
(-.f64 (+.f64 (*.f64 104109730557/25000000000 x) (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x)) 13764240537310136880149/125000000000000000000)
(*.f64 (+.f64 x -2) (-.f64 104109730557/25000000000 (/.f64 12723143231740136880149/125000000000000000000 x)))
(*.f64 (+.f64 x -2) (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)))

Outputs
(-.f64 (+.f64 (*.f64 104109730557/25000000000 x) (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x)) 13764240537310136880149/125000000000000000000)
(.f64 y (.f64 x -1000000000/23533438303))
(/.f64 (*.f64 z (-.f64 x 2)) 23533438303/500000000)
(.f64 -1000000000/23533438303 (.f64 y x))
(.f64 z (+.f64 -1000000000/23533438303 (.f64 x 168466327098500000000/553822718361107519809)))
(*.f64 x 104109730557/25000000000)

Calls

3 calls:

292.0ms	y
189.0ms	z
176.0ms	x

Results

Error	Segments	Branch
11.8b	6	`x`
29.1b	10	`y`
27.8b	8	`z`

Compiler

Compiled 138 to 101 computations (26.8% saved)

bsearch302.0ms (0.9%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
47.0ms	65528137826899190.0	1.2000796671222883e+38
91.0ms	1.1607294525970107e-27	5.0854284218421e-24
84.0ms	8.630760900226647e-106	5.117916440793872e-95
38.0ms	-1.345438050234845e-90	-6.452062074649063e-96
40.0ms	-5409.547712895577	-0.0015847288193473108

Compiler

Compiled 46 to 34 computations (26.1% saved)

regimes217.0ms (0.7%)

Counts

20 → 6

Calls

Call 1

Inputs
(/.f64 4297481763/31250000 x)
(/.f64 -4297481763/31250000 x)
(/.f64 4297481763/31250000 x)
(*.f64 z 500000000/156699607947)
(/.f64 12723143231740136880149/62500000000000000000 x)
(*.f64 z -1000000000/23533438303)
(*.f64 x 104109730557/25000000000)
(.f64 y (.f64 x -1000000000/23533438303))
(.f64 -1000000000/23533438303 (.f64 y x))
(/.f64 y (*.f64 x x))
(-.f64 (*.f64 104109730557/25000000000 x) 13764240537310136880149/125000000000000000000)
(+.f64 (/.f64 12723143231740136880149/62500000000000000000 x) -13764240537310136880149/125000000000000000000)
(-.f64 (*.f64 104109730557/25000000000 x) 13764240537310136880149/125000000000000000000)
(*.f64 (+.f64 x -2) 104109730557/25000000000)
(-.f64 (*.f64 104109730557/25000000000 x) 13764240537310136880149/125000000000000000000)
(.f64 z (+.f64 -1000000000/23533438303 (.f64 x 168466327098500000000/553822718361107519809)))
(/.f64 (*.f64 z (-.f64 x 2)) 23533438303/500000000)
(-.f64 (*.f64 12723143231740136880149/62500000000000000000 (/.f64 1 x)) 13764240537310136880149/125000000000000000000)
(.f64 z (+.f64 -1000000000/23533438303 (.f64 x 168466327098500000000/553822718361107519809)))
(.f64 (+.f64 x -2) (.f64 500000000/23533438303 z))

Outputs
(-.f64 (*.f64 104109730557/25000000000 x) 13764240537310136880149/125000000000000000000)
(.f64 y (.f64 x -1000000000/23533438303))
(/.f64 (*.f64 z (-.f64 x 2)) 23533438303/500000000)
(.f64 -1000000000/23533438303 (.f64 y x))
(.f64 z (+.f64 -1000000000/23533438303 (.f64 x 168466327098500000000/553822718361107519809)))
(*.f64 x 104109730557/25000000000)

Calls

3 calls:

80.0ms	z
66.0ms	y
66.0ms	x

Results

Error	Segments	Branch
11.8b	6	`x`
30.1b	7	`y`
27.8b	8	`z`

Compiler

Compiled 111 to 80 computations (27.9% saved)

bsearch184.0ms (0.6%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
36.0ms	65528137826899190.0	1.2000796671222883e+38
37.0ms	1.1607294525970107e-27	5.0854284218421e-24
37.0ms	8.630760900226647e-106	5.117916440793872e-95
36.0ms	-1.345438050234845e-90	-6.452062074649063e-96
37.0ms	-5409.547712895577	-0.0015847288193473108

Compiler

Compiled 46 to 34 computations (26.1% saved)

regimes173.0ms (0.5%)

Counts

16 → 6

Calls

Call 1

Inputs
(/.f64 4297481763/31250000 x)
(/.f64 -4297481763/31250000 x)
(/.f64 4297481763/31250000 x)
(*.f64 z 500000000/156699607947)
(/.f64 12723143231740136880149/62500000000000000000 x)
(*.f64 z -1000000000/23533438303)
(*.f64 x 104109730557/25000000000)
(.f64 y (.f64 x -1000000000/23533438303))
(.f64 -1000000000/23533438303 (.f64 y x))
(/.f64 y (*.f64 x x))
(-.f64 (*.f64 104109730557/25000000000 x) 13764240537310136880149/125000000000000000000)
(+.f64 (/.f64 12723143231740136880149/62500000000000000000 x) -13764240537310136880149/125000000000000000000)
(-.f64 (*.f64 104109730557/25000000000 x) 13764240537310136880149/125000000000000000000)
(*.f64 (+.f64 x -2) 104109730557/25000000000)
(-.f64 (*.f64 104109730557/25000000000 x) 13764240537310136880149/125000000000000000000)
(.f64 z (+.f64 -1000000000/23533438303 (.f64 x 168466327098500000000/553822718361107519809)))

Outputs
(-.f64 (*.f64 104109730557/25000000000 x) 13764240537310136880149/125000000000000000000)
(.f64 y (.f64 x -1000000000/23533438303))
(*.f64 z -1000000000/23533438303)
(.f64 -1000000000/23533438303 (.f64 y x))
(.f64 z (+.f64 -1000000000/23533438303 (.f64 x 168466327098500000000/553822718361107519809)))
(*.f64 x 104109730557/25000000000)

Calls

3 calls:

65.0ms	z
58.0ms	y
45.0ms	x

Results

Error	Segments	Branch
11.8b	6	`x`
30.1b	7	`y`
27.8b	8	`z`

Compiler

Compiled 83 to 59 computations (28.9% saved)

bsearch185.0ms (0.6%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
36.0ms	65528137826899190.0	1.2000796671222883e+38
37.0ms	1.1607294525970107e-27	5.0854284218421e-24
37.0ms	8.630760900226647e-106	5.117916440793872e-95
37.0ms	-1.345438050234845e-90	-6.452062074649063e-96
38.0ms	-5409.547712895577	-0.0015847288193473108

Compiler

Compiled 46 to 34 computations (26.1% saved)

regimes153.0ms (0.5%)

Counts

15 → 6

Calls

Call 1

Inputs
(/.f64 4297481763/31250000 x)
(/.f64 -4297481763/31250000 x)
(/.f64 4297481763/31250000 x)
(*.f64 z 500000000/156699607947)
(/.f64 12723143231740136880149/62500000000000000000 x)
(*.f64 z -1000000000/23533438303)
(*.f64 x 104109730557/25000000000)
(.f64 y (.f64 x -1000000000/23533438303))
(.f64 -1000000000/23533438303 (.f64 y x))
(/.f64 y (*.f64 x x))
(-.f64 (*.f64 104109730557/25000000000 x) 13764240537310136880149/125000000000000000000)
(+.f64 (/.f64 12723143231740136880149/62500000000000000000 x) -13764240537310136880149/125000000000000000000)
(-.f64 (*.f64 104109730557/25000000000 x) 13764240537310136880149/125000000000000000000)
(*.f64 (+.f64 x -2) 104109730557/25000000000)
(-.f64 (*.f64 104109730557/25000000000 x) 13764240537310136880149/125000000000000000000)

Outputs
(-.f64 (*.f64 104109730557/25000000000 x) 13764240537310136880149/125000000000000000000)
(.f64 y (.f64 x -1000000000/23533438303))
(*.f64 z -1000000000/23533438303)
(.f64 -1000000000/23533438303 (.f64 y x))
(*.f64 z -1000000000/23533438303)
(*.f64 x 104109730557/25000000000)

Calls

3 calls:

55.0ms	y
46.0ms	z
45.0ms	x

Results

Error	Segments	Branch
12.0b	6	`x`
30.3b	7	`y`
28.9b	6	`z`

Compiler

Compiled 76 to 54 computations (28.9% saved)

bsearch188.0ms (0.6%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
38.0ms	8.436287786752697e-7	0.00022142948611983984
37.0ms	1.1607294525970107e-27	5.0854284218421e-24
38.0ms	8.630760900226647e-106	5.117916440793872e-95
38.0ms	-1.345438050234845e-90	-6.452062074649063e-96
36.0ms	-5409.547712895577	-0.0015847288193473108

Compiler

Compiled 46 to 34 computations (26.1% saved)

regimes124.0ms (0.4%)

Counts

10 → 6

Calls

Call 1

Inputs
(/.f64 4297481763/31250000 x)
(/.f64 -4297481763/31250000 x)
(/.f64 4297481763/31250000 x)
(*.f64 z 500000000/156699607947)
(/.f64 12723143231740136880149/62500000000000000000 x)
(*.f64 z -1000000000/23533438303)
(*.f64 x 104109730557/25000000000)
(.f64 y (.f64 x -1000000000/23533438303))
(.f64 -1000000000/23533438303 (.f64 y x))
(/.f64 y (*.f64 x x))

Outputs
(*.f64 x 104109730557/25000000000)
(.f64 y (.f64 x -1000000000/23533438303))
(*.f64 z -1000000000/23533438303)
(.f64 -1000000000/23533438303 (.f64 y x))
(*.f64 z -1000000000/23533438303)
(*.f64 x 104109730557/25000000000)

Calls

3 calls:

46.0ms	z
40.0ms	y
35.0ms	x

Results

Error	Segments	Branch
12.0b	6	`x`
30.4b	7	`y`
28.2b	8	`z`

Compiler

Compiled 51 to 34 computations (33.3% saved)

bsearch187.0ms (0.6%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
36.0ms	8.436287786752697e-7	0.00022142948611983984
37.0ms	1.1607294525970107e-27	5.0854284218421e-24
37.0ms	8.630760900226647e-106	5.117916440793872e-95
37.0ms	-1.345438050234845e-90	-6.452062074649063e-96
40.0ms	-5409.547712895577	-0.0015847288193473108

Compiler

Compiled 46 to 34 computations (26.1% saved)

regimes125.0ms (0.4%)

Counts

8 → 6

Calls

Call 1

Inputs
(/.f64 4297481763/31250000 x)
(/.f64 -4297481763/31250000 x)
(/.f64 4297481763/31250000 x)
(*.f64 z 500000000/156699607947)
(/.f64 12723143231740136880149/62500000000000000000 x)
(*.f64 z -1000000000/23533438303)
(*.f64 x 104109730557/25000000000)
(.f64 y (.f64 x -1000000000/23533438303))

Outputs
(*.f64 x 104109730557/25000000000)
(.f64 y (.f64 x -1000000000/23533438303))
(*.f64 z -1000000000/23533438303)
(.f64 y (.f64 x -1000000000/23533438303))
(*.f64 z -1000000000/23533438303)
(*.f64 x 104109730557/25000000000)

Calls

3 calls:

46.0ms	z
39.0ms	y
37.0ms	x

Results

Error	Segments	Branch
12.0b	6	`x`
30.4b	7	`y`
28.2b	8	`z`

Compiler

Compiled 41 to 29 computations (29.3% saved)

bsearch200.0ms (0.6%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
39.0ms	8.436287786752697e-7	0.00022142948611983984
39.0ms	1.1607294525970107e-27	5.0854284218421e-24
38.0ms	8.630760900226647e-106	5.117916440793872e-95
41.0ms	-1.345438050234845e-90	-6.452062074649063e-96
42.0ms	-5409.547712895577	-0.0015847288193473108

Compiler

Compiled 46 to 34 computations (26.1% saved)

regimes96.0ms (0.3%)

Counts

7 → 3

Calls

Call 1

Inputs
(/.f64 4297481763/31250000 x)
(/.f64 -4297481763/31250000 x)
(/.f64 4297481763/31250000 x)
(*.f64 z 500000000/156699607947)
(/.f64 12723143231740136880149/62500000000000000000 x)
(*.f64 z -1000000000/23533438303)
(*.f64 x 104109730557/25000000000)

Outputs
(*.f64 x 104109730557/25000000000)
(*.f64 z -1000000000/23533438303)
(*.f64 x 104109730557/25000000000)

Calls

3 calls:

43.0ms	z
35.0ms	y
16.0ms	x

Results

Error	Segments	Branch
14.5b	3	`x`
30.4b	7	`y`
28.2b	8	`z`

Compiler

Compiled 36 to 26 computations (27.8% saved)

bsearch80.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
40.0ms	8.436287786752697e-7	0.00022142948611983984
39.0ms	-2.0710243746191557e-53	-1.2643943836361461e-54

Compiler

Compiled 46 to 34 computations (26.1% saved)

regimes20.0ms (0.1%)

Counts

6 → 1

Calls

Call 1

Inputs
(/.f64 4297481763/31250000 x)
(/.f64 -4297481763/31250000 x)
(/.f64 4297481763/31250000 x)
(*.f64 z 500000000/156699607947)
(/.f64 12723143231740136880149/62500000000000000000 x)
(*.f64 z -1000000000/23533438303)

Outputs
(*.f64 z -1000000000/23533438303)

Calls

3 calls:

8.0ms	x
5.0ms	y
5.0ms	z

Results

Error	Segments	Branch
41.4b	1	`x`
41.4b	1	`y`
41.4b	1	`z`

Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes18.0ms (0.1%)

Accuracy

Total -1.2b remaining (-2%)

Threshold costs -1.2b (-2%)

Counts

5 → 1

Calls

Call 1

Inputs
(/.f64 4297481763/31250000 x)
(/.f64 -4297481763/31250000 x)
(/.f64 4297481763/31250000 x)
(*.f64 z 500000000/156699607947)
(/.f64 12723143231740136880149/62500000000000000000 x)

Outputs
(/.f64 4297481763/31250000 x)

Calls

3 calls:

7.0ms	x
5.0ms	y
4.0ms	z

Results

Error	Segments	Branch
62.1b	1	`x`
62.1b	1	`y`
62.1b	1	`z`

Compiler

Compiled 30 to 22 computations (26.7% saved)

simplify101.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

44×	`*-commutative_binary64`
36×	`+-commutative_binary64`
6×	`sub-neg_binary64`
2×	`distribute-lft-neg-in_binary64`
2×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	206	2076
1	298	2076
2	309	2076
3	313	2076
4	316	2076
5	317	2076

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 x -591881072736502637297401856) (.f64 (+.f64 x -2) (+.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (/.f64 y (pow.f64 x 3)))) (if (<=.f64 x 65528137826899192) (.f64 (+.f64 x -2) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))) (.f64 (+.f64 x -2) (+.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (.f64 x x)) (.f64 (/.f64 1 x) (.f64 (/.f64 (+.f64 y -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000) x) (/.f64 1 x))))))))
(if (<=.f64 x -49168387923552581669879808) (.f64 (+.f64 x -2) (+.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (/.f64 y (pow.f64 x 3)))) (if (<=.f64 x 65528137826899192) (/.f64 (.f64 (-.f64 x 2) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x 104109730557/25000000000) 393497462077/5000000000) x) 4297481763/31250000) x) y) x) z)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 x 216700011257/5000000000) x) 263505074721/1000000000) x) 156699607947/500000000) x) 23533438303/500000000)) (.f64 (+.f64 x -2) (+.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (.f64 x x)) (.f64 (/.f64 1 x) (*.f64 (/.f64 (+.f64 y -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000) x) (/.f64 1 x))))))))
(if (<=.f64 x -49168387923552581669879808) (.f64 (+.f64 x -2) (+.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (.f64 x x)) (.f64 (/.f64 1 x) (/.f64 y (.f64 x x)))))) (if (<=.f64 x 65528137826899192) (/.f64 (.f64 (-.f64 x 2) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x 104109730557/25000000000) 393497462077/5000000000) x) 4297481763/31250000) x) y) x) z)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 x 216700011257/5000000000) x) 263505074721/1000000000) x) 156699607947/500000000) x) 23533438303/500000000)) (.f64 (+.f64 x -2) (+.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (.f64 x x)) (.f64 (/.f64 1 x) (.f64 (/.f64 (+.f64 y -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000) x) (/.f64 1 x))))))))
(if (<=.f64 x -49168387923552581669879808) (.f64 (+.f64 x -2) (+.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (.f64 x x)) (.f64 (/.f64 1 x) (/.f64 y (.f64 x x)))))) (if (<=.f64 x 65528137826899192) (/.f64 (.f64 (-.f64 x 2) (+.f64 (.f64 (+.f64 (.f64 x 4297481763/31250000) y) x) z)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 x 216700011257/5000000000) x) 263505074721/1000000000) x) 156699607947/500000000) x) 23533438303/500000000)) (.f64 (+.f64 x -2) (+.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (.f64 x x)) (.f64 (/.f64 1 x) (.f64 (/.f64 (+.f64 y -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000) x) (/.f64 1 x))))))))
(if (<=.f64 x -2973930305668877/549755813888) (.f64 (+.f64 x -2) (+.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (.f64 x x)) (.f64 (/.f64 1 x) (/.f64 (+.f64 y -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000) (.f64 x x)))))) (if (<=.f64 x 5936830991749971/137438953472) (/.f64 (.f64 (-.f64 x 2) (+.f64 (.f64 (+.f64 (.f64 x 4297481763/31250000) y) x) z)) (+.f64 (.f64 x 156699607947/500000000) 23533438303/500000000)) (.f64 (+.f64 x -2) (+.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (.f64 x x)) (.f64 (/.f64 1 x) (.f64 (/.f64 (+.f64 y -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000) x) (/.f64 1 x))))))))
(if (<=.f64 x -2973930305668877/549755813888) (.f64 (+.f64 x -2) (+.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (.f64 x x)) (.f64 (/.f64 1 x) (/.f64 (+.f64 y -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000) (.f64 x x)))))) (if (<=.f64 x 5936830991749971/137438953472) (/.f64 (.f64 (-.f64 x 2) (+.f64 (.f64 (+.f64 (.f64 x 4297481763/31250000) y) x) z)) (+.f64 (.f64 x 156699607947/500000000) 23533438303/500000000)) (.f64 (+.f64 x -2) (+.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (.f64 x x)) (.f64 (/.f64 1 x) (/.f64 y (.f64 x x))))))))
(if (<=.f64 x -2973930305668877/549755813888) (.f64 (+.f64 x -2) (+.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (.f64 x x)) (.f64 (/.f64 1 x) (/.f64 y (.f64 x x)))))) (if (<=.f64 x 5936830991749971/137438953472) (/.f64 (.f64 (-.f64 x 2) (+.f64 (.f64 (+.f64 (.f64 x 4297481763/31250000) y) x) z)) (+.f64 (.f64 x 156699607947/500000000) 23533438303/500000000)) (.f64 (+.f64 x -2) (+.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (.f64 x x)) (.f64 (/.f64 1 x) (/.f64 y (.f64 x x))))))))
(if (<=.f64 x -2973930305668877/549755813888) (.f64 (+.f64 x -2) (+.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (.f64 x x)) (.f64 (/.f64 1 x) (/.f64 (/.f64 -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 x) x))))) (if (<=.f64 x 65528137826899192) (/.f64 (.f64 (-.f64 x 2) (+.f64 (.f64 (+.f64 (.f64 x 4297481763/31250000) y) x) z)) (+.f64 (.f64 x 156699607947/500000000) 23533438303/500000000)) (.f64 x 104109730557/25000000000)))
(if (<=.f64 x -2973930305668877/549755813888) (.f64 (+.f64 x -2) (+.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (.f64 x x)))) (if (<=.f64 x 65528137826899192) (/.f64 (.f64 (-.f64 x 2) (+.f64 (.f64 (+.f64 (.f64 x 4297481763/31250000) y) x) z)) (+.f64 (.f64 x 156699607947/500000000) 23533438303/500000000)) (*.f64 x 104109730557/25000000000)))
(if (<=.f64 x -2973930305668877/549755813888) (.f64 (+.f64 x -2) (+.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (.f64 x x)))) (if (<=.f64 x 5936830991749971/137438953472) (+.f64 (.f64 (-.f64 (.f64 500000000/23533438303 (+.f64 (.f64 -2 y) z)) (.f64 -156699607947000000000/553822718361107519809 z)) x) (.f64 -1000000000/23533438303 z)) (.f64 x 104109730557/25000000000)))
(if (<=.f64 x -2973930305668877/549755813888) (.f64 (+.f64 x -2) (+.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (.f64 x x)))) (if (<=.f64 x -12343041224455990/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496) (/.f64 (.f64 y (.f64 (-.f64 x 2) x)) (+.f64 (.f64 x 156699607947/500000000) 23533438303/500000000)) (if (<=.f64 x 8914712512963007/10328999512347634358623676688012047497318823171316894051322637426162590488067364778518581413120551325743612687890989973504) (/.f64 (.f64 z (-.f64 x 2)) 23533438303/500000000) (if (<=.f64 x 3235641470849483/2787593149816327892691964784081045188247552) (/.f64 (.f64 y (.f64 (-.f64 x 2) x)) (+.f64 (.f64 x 156699607947/500000000) 23533438303/500000000)) (if (<=.f64 x 65528137826899192) (/.f64 (.f64 z (-.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 x 263505074721/1000000000)) x) 23533438303/500000000)) (*.f64 x 104109730557/25000000000))))))
(if (<=.f64 x -2973930305668877/549755813888) (-.f64 (+.f64 (.f64 104109730557/25000000000 x) (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x)) 13764240537310136880149/125000000000000000000) (if (<=.f64 x -12343041224455990/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496) (/.f64 (.f64 y (.f64 (-.f64 x 2) x)) (+.f64 (.f64 x 156699607947/500000000) 23533438303/500000000)) (if (<=.f64 x 8914712512963007/10328999512347634358623676688012047497318823171316894051322637426162590488067364778518581413120551325743612687890989973504) (/.f64 (.f64 z (-.f64 x 2)) 23533438303/500000000) (if (<=.f64 x 3235641470849483/2787593149816327892691964784081045188247552) (/.f64 (.f64 y (.f64 (-.f64 x 2) x)) (+.f64 (.f64 x 156699607947/500000000) 23533438303/500000000)) (if (<=.f64 x 65528137826899192) (/.f64 (.f64 z (-.f64 x 2)) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 x 263505074721/1000000000)) x) 23533438303/500000000)) (.f64 x 104109730557/25000000000))))))
(if (<=.f64 x -2973930305668877/549755813888) (-.f64 (+.f64 (.f64 104109730557/25000000000 x) (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x)) 13764240537310136880149/125000000000000000000) (if (<=.f64 x -12343041224455990/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496) (/.f64 (.f64 y (.f64 (-.f64 x 2) x)) (+.f64 (.f64 x 156699607947/500000000) 23533438303/500000000)) (if (<=.f64 x 8914712512963007/10328999512347634358623676688012047497318823171316894051322637426162590488067364778518581413120551325743612687890989973504) (/.f64 (.f64 z (-.f64 x 2)) 23533438303/500000000) (if (<=.f64 x 3235641470849483/2787593149816327892691964784081045188247552) (/.f64 (.f64 y (.f64 (-.f64 x 2) x)) (+.f64 (.f64 x 156699607947/500000000) 23533438303/500000000)) (if (<=.f64 x 65528137826899192) (/.f64 (.f64 z (-.f64 x 2)) (+.f64 (.f64 x 156699607947/500000000) 23533438303/500000000)) (*.f64 x 104109730557/25000000000))))))
(if (<=.f64 x -2973930305668877/549755813888) (-.f64 (+.f64 (.f64 104109730557/25000000000 x) (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x)) 13764240537310136880149/125000000000000000000) (if (<=.f64 x -12343041224455990/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496) (.f64 y (+.f64 (.f64 x -1000000000/23533438303) (.f64 (.f64 x x) 168466327098500000000/553822718361107519809))) (if (<=.f64 x 8914712512963007/10328999512347634358623676688012047497318823171316894051322637426162590488067364778518581413120551325743612687890989973504) (/.f64 (.f64 z (-.f64 x 2)) 23533438303/500000000) (if (<=.f64 x 3235641470849483/2787593149816327892691964784081045188247552) (.f64 -1000000000/23533438303 (.f64 y x)) (if (<=.f64 x 65528137826899192) (/.f64 (.f64 z (-.f64 x 2)) (+.f64 (.f64 x 156699607947/500000000) 23533438303/500000000)) (*.f64 x 104109730557/25000000000))))))
(if (<=.f64 x -2973930305668877/549755813888) (-.f64 (+.f64 (.f64 104109730557/25000000000 x) (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x)) 13764240537310136880149/125000000000000000000) (if (<=.f64 x -12343041224455990/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496) (.f64 y (+.f64 (.f64 x -1000000000/23533438303) (.f64 (.f64 x x) 168466327098500000000/553822718361107519809))) (if (<=.f64 x 8914712512963007/10328999512347634358623676688012047497318823171316894051322637426162590488067364778518581413120551325743612687890989973504) (/.f64 (.f64 z (-.f64 x 2)) 23533438303/500000000) (if (<=.f64 x 3235641470849483/2787593149816327892691964784081045188247552) (.f64 -1000000000/23533438303 (.f64 y x)) (if (<=.f64 x 65528137826899192) (.f64 z (+.f64 -1000000000/23533438303 (.f64 x 168466327098500000000/553822718361107519809))) (*.f64 x 104109730557/25000000000))))))
(if (<=.f64 x -2973930305668877/549755813888) (-.f64 (+.f64 (.f64 104109730557/25000000000 x) (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x)) 13764240537310136880149/125000000000000000000) (if (<=.f64 x -12343041224455990/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496) (.f64 y (.f64 x -1000000000/23533438303)) (if (<=.f64 x 8914712512963007/10328999512347634358623676688012047497318823171316894051322637426162590488067364778518581413120551325743612687890989973504) (/.f64 (.f64 z (-.f64 x 2)) 23533438303/500000000) (if (<=.f64 x 3235641470849483/2787593149816327892691964784081045188247552) (.f64 -1000000000/23533438303 (.f64 y x)) (if (<=.f64 x 65528137826899192) (.f64 z (+.f64 -1000000000/23533438303 (.f64 x 168466327098500000000/553822718361107519809))) (*.f64 x 104109730557/25000000000))))))
(if (<=.f64 x -2973930305668877/549755813888) (-.f64 (.f64 104109730557/25000000000 x) 13764240537310136880149/125000000000000000000) (if (<=.f64 x -12343041224455990/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496) (.f64 y (.f64 x -1000000000/23533438303)) (if (<=.f64 x 8914712512963007/10328999512347634358623676688012047497318823171316894051322637426162590488067364778518581413120551325743612687890989973504) (/.f64 (.f64 z (-.f64 x 2)) 23533438303/500000000) (if (<=.f64 x 3235641470849483/2787593149816327892691964784081045188247552) (.f64 -1000000000/23533438303 (.f64 y x)) (if (<=.f64 x 65528137826899192) (.f64 z (+.f64 -1000000000/23533438303 (.f64 x 168466327098500000000/553822718361107519809))) (*.f64 x 104109730557/25000000000))))))
(if (<=.f64 x -2973930305668877/549755813888) (-.f64 (.f64 104109730557/25000000000 x) 13764240537310136880149/125000000000000000000) (if (<=.f64 x -12343041224455990/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496) (.f64 y (.f64 x -1000000000/23533438303)) (if (<=.f64 x 8914712512963007/10328999512347634358623676688012047497318823171316894051322637426162590488067364778518581413120551325743612687890989973504) (.f64 z -1000000000/23533438303) (if (<=.f64 x 3235641470849483/2787593149816327892691964784081045188247552) (.f64 -1000000000/23533438303 (.f64 y x)) (if (<=.f64 x 65528137826899192) (.f64 z (+.f64 -1000000000/23533438303 (.f64 x 168466327098500000000/553822718361107519809))) (*.f64 x 104109730557/25000000000))))))
(if (<=.f64 x -2973930305668877/549755813888) (-.f64 (.f64 104109730557/25000000000 x) 13764240537310136880149/125000000000000000000) (if (<=.f64 x -12343041224455990/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496) (.f64 y (.f64 x -1000000000/23533438303)) (if (<=.f64 x 8914712512963007/10328999512347634358623676688012047497318823171316894051322637426162590488067364778518581413120551325743612687890989973504) (.f64 z -1000000000/23533438303) (if (<=.f64 x 3235641470849483/2787593149816327892691964784081045188247552) (.f64 -1000000000/23533438303 (.f64 y x)) (if (<=.f64 x 7967848536800695/9444732965739290427392) (.f64 z -1000000000/23533438303) (.f64 x 104109730557/25000000000))))))
(if (<=.f64 x -2973930305668877/549755813888) (.f64 x 104109730557/25000000000) (if (<=.f64 x -12343041224455990/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496) (.f64 y (.f64 x -1000000000/23533438303)) (if (<=.f64 x 8914712512963007/10328999512347634358623676688012047497318823171316894051322637426162590488067364778518581413120551325743612687890989973504) (.f64 z -1000000000/23533438303) (if (<=.f64 x 3235641470849483/2787593149816327892691964784081045188247552) (.f64 -1000000000/23533438303 (.f64 y x)) (if (<=.f64 x 7967848536800695/9444732965739290427392) (.f64 z -1000000000/23533438303) (.f64 x 104109730557/25000000000))))))
(if (<=.f64 x -2973930305668877/549755813888) (.f64 x 104109730557/25000000000) (if (<=.f64 x -12343041224455990/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496) (.f64 y (.f64 x -1000000000/23533438303)) (if (<=.f64 x 8914712512963007/10328999512347634358623676688012047497318823171316894051322637426162590488067364778518581413120551325743612687890989973504) (.f64 z -1000000000/23533438303) (if (<=.f64 x 3235641470849483/2787593149816327892691964784081045188247552) (.f64 y (.f64 x -1000000000/23533438303)) (if (<=.f64 x 7967848536800695/9444732965739290427392) (.f64 z -1000000000/23533438303) (.f64 x 104109730557/25000000000))))))
(if (<=.f64 x -8933553069776231/431359146674410236714672241392314090778194310760649159697657763987456) (.f64 x 104109730557/25000000000) (if (<=.f64 x 7967848536800695/9444732965739290427392) (.f64 z -1000000000/23533438303) (*.f64 x 104109730557/25000000000)))
(*.f64 z -1000000000/23533438303)
(/.f64 4297481763/31250000 x)

Outputs
(if (<=.f64 x -591881072736502637297401856) (.f64 (+.f64 x -2) (+.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (/.f64 y (pow.f64 x 3)))) (if (<=.f64 x 65528137826899192) (.f64 (+.f64 x -2) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))) (.f64 (+.f64 x -2) (+.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (.f64 x x)) (.f64 (/.f64 1 x) (.f64 (/.f64 (+.f64 y -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000) x) (/.f64 1 x))))))))
(if (<=.f64 x -591881072736502637297401856) (.f64 (+.f64 x -2) (+.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (/.f64 y (pow.f64 x 3)))) (if (<=.f64 x 65528137826899192) (.f64 (+.f64 x -2) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) z) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))) (.f64 (+.f64 x -2) (+.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (.f64 x x)) (.f64 (/.f64 1 x) (.f64 (/.f64 1 x) (/.f64 (+.f64 y -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000) x))))))))
(if (<=.f64 x -49168387923552581669879808) (.f64 (+.f64 x -2) (+.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (/.f64 y (pow.f64 x 3)))) (if (<=.f64 x 65528137826899192) (/.f64 (.f64 (-.f64 x 2) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x 104109730557/25000000000) 393497462077/5000000000) x) 4297481763/31250000) x) y) x) z)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 x 216700011257/5000000000) x) 263505074721/1000000000) x) 156699607947/500000000) x) 23533438303/500000000)) (.f64 (+.f64 x -2) (+.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (.f64 x x)) (.f64 (/.f64 1 x) (*.f64 (/.f64 (+.f64 y -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000) x) (/.f64 1 x))))))))
(if (<=.f64 x -49168387923552581669879808) (.f64 (+.f64 x -2) (+.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (/.f64 y (pow.f64 x 3)))) (if (<=.f64 x 65528137826899192) (/.f64 (.f64 (+.f64 x -2) (+.f64 z (.f64 x (+.f64 y (.f64 x (+.f64 4297481763/31250000 (.f64 x (+.f64 393497462077/5000000000 (.f64 x 104109730557/25000000000))))))))) (+.f64 23533438303/500000000 (.f64 x (+.f64 156699607947/500000000 (.f64 x (+.f64 263505074721/1000000000 (.f64 x (+.f64 x 216700011257/5000000000)))))))) (.f64 (+.f64 x -2) (+.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (.f64 x x)) (.f64 (/.f64 1 x) (*.f64 (/.f64 1 x) (/.f64 (+.f64 y -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000) x))))))))
(if (<=.f64 x -49168387923552581669879808) (.f64 (+.f64 x -2) (+.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (.f64 x x)) (.f64 (/.f64 1 x) (/.f64 y (.f64 x x)))))) (if (<=.f64 x 65528137826899192) (/.f64 (.f64 (-.f64 x 2) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x 104109730557/25000000000) 393497462077/5000000000) x) 4297481763/31250000) x) y) x) z)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 x 216700011257/5000000000) x) 263505074721/1000000000) x) 156699607947/500000000) x) 23533438303/500000000)) (.f64 (+.f64 x -2) (+.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (.f64 x x)) (.f64 (/.f64 1 x) (.f64 (/.f64 (+.f64 y -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000) x) (/.f64 1 x))))))))
(if (<=.f64 x -49168387923552581669879808) (.f64 (+.f64 x -2) (+.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (.f64 x x)) (.f64 (/.f64 1 x) (/.f64 y (.f64 x x)))))) (if (<=.f64 x 65528137826899192) (/.f64 (.f64 (+.f64 x -2) (+.f64 z (.f64 x (+.f64 y (.f64 x (+.f64 4297481763/31250000 (.f64 x (+.f64 393497462077/5000000000 (.f64 x 104109730557/25000000000))))))))) (+.f64 23533438303/500000000 (.f64 x (+.f64 156699607947/500000000 (.f64 x (+.f64 263505074721/1000000000 (.f64 x (+.f64 x 216700011257/5000000000)))))))) (.f64 (+.f64 x -2) (+.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (.f64 x x)) (.f64 (/.f64 1 x) (.f64 (/.f64 1 x) (/.f64 (+.f64 y -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000) x))))))))
(if (<=.f64 x -49168387923552581669879808) (.f64 (+.f64 x -2) (+.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (.f64 x x)) (.f64 (/.f64 1 x) (/.f64 y (.f64 x x)))))) (if (<=.f64 x 65528137826899192) (/.f64 (.f64 (-.f64 x 2) (+.f64 (.f64 (+.f64 (.f64 x 4297481763/31250000) y) x) z)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 x 216700011257/5000000000) x) 263505074721/1000000000) x) 156699607947/500000000) x) 23533438303/500000000)) (.f64 (+.f64 x -2) (+.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (.f64 x x)) (.f64 (/.f64 1 x) (.f64 (/.f64 (+.f64 y -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000) x) (/.f64 1 x))))))))
(if (<=.f64 x -49168387923552581669879808) (.f64 (+.f64 x -2) (+.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (.f64 x x)) (.f64 (/.f64 1 x) (/.f64 y (.f64 x x)))))) (if (<=.f64 x 65528137826899192) (/.f64 (.f64 (+.f64 x -2) (+.f64 z (.f64 x (+.f64 y (.f64 x 4297481763/31250000))))) (+.f64 23533438303/500000000 (.f64 x (+.f64 156699607947/500000000 (.f64 x (+.f64 263505074721/1000000000 (.f64 x (+.f64 x 216700011257/5000000000)))))))) (.f64 (+.f64 x -2) (+.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (.f64 x x)) (.f64 (/.f64 1 x) (.f64 (/.f64 1 x) (/.f64 (+.f64 y -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000) x))))))))
(if (<=.f64 x -2973930305668877/549755813888) (.f64 (+.f64 x -2) (+.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (.f64 x x)) (.f64 (/.f64 1 x) (/.f64 (+.f64 y -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000) (.f64 x x)))))) (if (<=.f64 x 5936830991749971/137438953472) (/.f64 (.f64 (-.f64 x 2) (+.f64 (.f64 (+.f64 (.f64 x 4297481763/31250000) y) x) z)) (+.f64 (.f64 x 156699607947/500000000) 23533438303/500000000)) (.f64 (+.f64 x -2) (+.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (.f64 x x)) (.f64 (/.f64 1 x) (.f64 (/.f64 (+.f64 y -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000) x) (/.f64 1 x))))))))
(if (<=.f64 x -2973930305668877/549755813888) (.f64 (+.f64 x -2) (+.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (.f64 x x)) (.f64 (/.f64 1 x) (/.f64 (+.f64 y -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000) (.f64 x x)))))) (if (<=.f64 x 5936830991749971/137438953472) (/.f64 (.f64 (+.f64 x -2) (+.f64 z (.f64 x (+.f64 y (.f64 x 4297481763/31250000))))) (+.f64 23533438303/500000000 (.f64 x 156699607947/500000000))) (.f64 (+.f64 x -2) (+.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (.f64 x x)) (.f64 (/.f64 1 x) (.f64 (/.f64 1 x) (/.f64 (+.f64 y -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000) x))))))))
(if (<=.f64 x -2973930305668877/549755813888) (.f64 (+.f64 x -2) (+.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (.f64 x x)) (.f64 (/.f64 1 x) (/.f64 (+.f64 y -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000) (.f64 x x)))))) (if (<=.f64 x 5936830991749971/137438953472) (/.f64 (.f64 (-.f64 x 2) (+.f64 (.f64 (+.f64 (.f64 x 4297481763/31250000) y) x) z)) (+.f64 (.f64 x 156699607947/500000000) 23533438303/500000000)) (.f64 (+.f64 x -2) (+.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (.f64 x x)) (.f64 (/.f64 1 x) (/.f64 y (.f64 x x))))))))
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(if (<=.f64 x -2973930305668877/549755813888) (+.f64 (.f64 x 104109730557/25000000000) -13764240537310136880149/125000000000000000000) (if (<=.f64 x -6171520612227995/4586997231980143023221641790604173881593129978336562247475177678773845752176969616140037106220251373109248) (.f64 y (.f64 x -1000000000/23533438303)) (if (<=.f64 x 8914712512963007/10328999512347634358623676688012047497318823171316894051322637426162590488067364778518581413120551325743612687890989973504) (/.f64 (.f64 (+.f64 x -2) z) 23533438303/500000000) (if (<=.f64 x 3235641470849483/2787593149816327892691964784081045188247552) (.f64 -1000000000/23533438303 (.f64 x y)) (if (<=.f64 x 65528137826899192) (.f64 z (+.f64 -1000000000/23533438303 (.f64 x 168466327098500000000/553822718361107519809))) (*.f64 x 104109730557/25000000000))))))
(if (<=.f64 x -2973930305668877/549755813888) (-.f64 (.f64 104109730557/25000000000 x) 13764240537310136880149/125000000000000000000) (if (<=.f64 x -12343041224455990/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496) (.f64 y (.f64 x -1000000000/23533438303)) (if (<=.f64 x 8914712512963007/10328999512347634358623676688012047497318823171316894051322637426162590488067364778518581413120551325743612687890989973504) (.f64 z -1000000000/23533438303) (if (<=.f64 x 3235641470849483/2787593149816327892691964784081045188247552) (.f64 -1000000000/23533438303 (.f64 y x)) (if (<=.f64 x 65528137826899192) (.f64 z (+.f64 -1000000000/23533438303 (.f64 x 168466327098500000000/553822718361107519809))) (*.f64 x 104109730557/25000000000))))))
(if (<=.f64 x -2973930305668877/549755813888) (+.f64 (.f64 x 104109730557/25000000000) -13764240537310136880149/125000000000000000000) (if (<=.f64 x -6171520612227995/4586997231980143023221641790604173881593129978336562247475177678773845752176969616140037106220251373109248) (.f64 y (.f64 x -1000000000/23533438303)) (if (<=.f64 x 8914712512963007/10328999512347634358623676688012047497318823171316894051322637426162590488067364778518581413120551325743612687890989973504) (.f64 z -1000000000/23533438303) (if (<=.f64 x 3235641470849483/2787593149816327892691964784081045188247552) (.f64 -1000000000/23533438303 (.f64 x y)) (if (<=.f64 x 65528137826899192) (.f64 z (+.f64 -1000000000/23533438303 (.f64 x 168466327098500000000/553822718361107519809))) (*.f64 x 104109730557/25000000000))))))
(if (<=.f64 x -2973930305668877/549755813888) (-.f64 (.f64 104109730557/25000000000 x) 13764240537310136880149/125000000000000000000) (if (<=.f64 x -12343041224455990/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496) (.f64 y (.f64 x -1000000000/23533438303)) (if (<=.f64 x 8914712512963007/10328999512347634358623676688012047497318823171316894051322637426162590488067364778518581413120551325743612687890989973504) (.f64 z -1000000000/23533438303) (if (<=.f64 x 3235641470849483/2787593149816327892691964784081045188247552) (.f64 -1000000000/23533438303 (.f64 y x)) (if (<=.f64 x 7967848536800695/9444732965739290427392) (.f64 z -1000000000/23533438303) (.f64 x 104109730557/25000000000))))))
(if (<=.f64 x -2973930305668877/549755813888) (+.f64 (.f64 x 104109730557/25000000000) -13764240537310136880149/125000000000000000000) (if (<=.f64 x -6171520612227995/4586997231980143023221641790604173881593129978336562247475177678773845752176969616140037106220251373109248) (.f64 y (.f64 x -1000000000/23533438303)) (if (<=.f64 x 8914712512963007/10328999512347634358623676688012047497318823171316894051322637426162590488067364778518581413120551325743612687890989973504) (.f64 z -1000000000/23533438303) (if (<=.f64 x 3235641470849483/2787593149816327892691964784081045188247552) (.f64 -1000000000/23533438303 (.f64 x y)) (if (<=.f64 x 7967848536800695/9444732965739290427392) (.f64 z -1000000000/23533438303) (.f64 x 104109730557/25000000000))))))
(if (<=.f64 x -2973930305668877/549755813888) (.f64 x 104109730557/25000000000) (if (<=.f64 x -12343041224455990/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496) (.f64 y (.f64 x -1000000000/23533438303)) (if (<=.f64 x 8914712512963007/10328999512347634358623676688012047497318823171316894051322637426162590488067364778518581413120551325743612687890989973504) (.f64 z -1000000000/23533438303) (if (<=.f64 x 3235641470849483/2787593149816327892691964784081045188247552) (.f64 -1000000000/23533438303 (.f64 y x)) (if (<=.f64 x 7967848536800695/9444732965739290427392) (.f64 z -1000000000/23533438303) (.f64 x 104109730557/25000000000))))))
(if (<=.f64 x -2973930305668877/549755813888) (.f64 x 104109730557/25000000000) (if (<=.f64 x -6171520612227995/4586997231980143023221641790604173881593129978336562247475177678773845752176969616140037106220251373109248) (.f64 y (.f64 x -1000000000/23533438303)) (if (<=.f64 x 8914712512963007/10328999512347634358623676688012047497318823171316894051322637426162590488067364778518581413120551325743612687890989973504) (.f64 z -1000000000/23533438303) (if (<=.f64 x 3235641470849483/2787593149816327892691964784081045188247552) (.f64 -1000000000/23533438303 (.f64 x y)) (if (<=.f64 x 7967848536800695/9444732965739290427392) (.f64 z -1000000000/23533438303) (.f64 x 104109730557/25000000000))))))
(if (<=.f64 x -2973930305668877/549755813888) (.f64 x 104109730557/25000000000) (if (<=.f64 x -12343041224455990/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496) (.f64 y (.f64 x -1000000000/23533438303)) (if (<=.f64 x 8914712512963007/10328999512347634358623676688012047497318823171316894051322637426162590488067364778518581413120551325743612687890989973504) (.f64 z -1000000000/23533438303) (if (<=.f64 x 3235641470849483/2787593149816327892691964784081045188247552) (.f64 y (.f64 x -1000000000/23533438303)) (if (<=.f64 x 7967848536800695/9444732965739290427392) (.f64 z -1000000000/23533438303) (.f64 x 104109730557/25000000000))))))
(if (<=.f64 x -2973930305668877/549755813888) (.f64 x 104109730557/25000000000) (if (<=.f64 x -6171520612227995/4586997231980143023221641790604173881593129978336562247475177678773845752176969616140037106220251373109248) (.f64 y (.f64 x -1000000000/23533438303)) (if (<=.f64 x 8914712512963007/10328999512347634358623676688012047497318823171316894051322637426162590488067364778518581413120551325743612687890989973504) (.f64 z -1000000000/23533438303) (if (<=.f64 x 3235641470849483/2787593149816327892691964784081045188247552) (.f64 y (.f64 x -1000000000/23533438303)) (if (<=.f64 x 7967848536800695/9444732965739290427392) (.f64 z -1000000000/23533438303) (.f64 x 104109730557/25000000000))))))
(if (<=.f64 x -8933553069776231/431359146674410236714672241392314090778194310760649159697657763987456) (.f64 x 104109730557/25000000000) (if (<=.f64 x 7967848536800695/9444732965739290427392) (.f64 z -1000000000/23533438303) (*.f64 x 104109730557/25000000000)))
(*.f64 z -1000000000/23533438303)
(/.f64 4297481763/31250000 x)

Compiler

Compiled 1492 to 1065 computations (28.6% saved)

soundness489.0ms (1.5%)

Algorithm

5×	egg-herbie

Rules

744×	`associate-+l+_binary64`
744×	`associate-+l+_binary64`
744×	`associate-+l+_binary64`
706×	`distribute-rgt-in_binary64`
706×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	41
1	64	41
2	157	41
3	559	41
4	1765	41
5	7013	41
0	180	4493
1	479	3870
2	1359	3624
3	5476	3351
0	30	41
1	64	41
2	157	41
3	559	41
4	1765	41
5	7013	41
0	30	41
1	64	41
2	157	41
3	559	41
4	1765	41
5	7013	41
0	180	4493
1	479	3870
2	1359	3624
3	5476	3351

Stop Event

1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 2972 to 2237 computations (24.7% saved)

end636.0ms (2%)

Compiler: Compiled 1423 to 975 computations (31.5% saved)