Details

analyze532.0ms (2.2%)

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)

sample2.2s (8.8%)

Results

2.1s	8256×	body	256	valid
2.0ms	7×	body	256	invalid

preprocess88.0ms (0.4%)

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)

simplify52.0ms (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)))

eval3.0ms (0%)

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

prune4.0ms (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

24.7b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	26.4b	(/.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))
▶	24.7b	(*.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)))

Status

Error

Program

▶

26.4b

(/.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))

▶

24.7b

(*.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)))

Compiler

Compiled 73 to 51 computations (30.1% saved)

localize135.0ms (0.6%)

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)
✓	23.9b	(/.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
5.0ms	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)))
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))
1.0ms	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	y	@	inf	(/.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))

rewrite268.0ms (1.1%)

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))))))

simplify197.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

589×	`fma-def_binary64`
483×	`cancel-sign-sub-inv_binary64`
302×	`associate-+l+_binary64`
284×	`distribute-rgt-in_binary64`
281×	`sub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	178	4492
1	473	3870
2	1346	3624
3	5460	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 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 (/.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 (.f64 -1 (/.f64 (+.f64 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 (.f64 -1 y)) (pow.f64 x 3))) (+.f64 104109730557/25000000000 (.f64 2157218858562374472887084159837293/625000000000000000000000000000 (/.f64 1 (pow.f64 x 2))))) (.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 -78349803973500000000/553822718361107519809 z)) 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 -78349803973500000000/553822718361107519809 z)) (.f64 z 65876268680250000000/553822718361107519809))) (.f64 x x) (fma.f64 500000000/23533438303 z (.f64 (+.f64 (.f64 500000000/23533438303 y) (*.f64 -78349803973500000000/553822718361107519809 z)) 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 -78349803973500000000/553822718361107519809 z)) (fma.f64 156699607947/23533438303 (-.f64 68759708208/23533438303 (fma.f64 156699607947/23533438303 (+.f64 (.f64 500000000/23533438303 y) (.f64 -78349803973500000000/553822718361107519809 z)) (.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 -78349803973500000000/553822718361107519809 z)) (.f64 z 65876268680250000000/553822718361107519809))) (.f64 x x) (fma.f64 500000000/23533438303 z (.f64 (+.f64 (.f64 500000000/23533438303 y) (*.f64 -78349803973500000000/553822718361107519809 z)) 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 z -10322785475206410101946750000000/13033352773350869092174451844127) (.f64 y 65876268680250000000/553822718361107519809))))) (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 104109730557/25000000000 (-.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (*.f64 x x)) (/.f64 12723143231740136880149/125000000000000000000 x)))
(+.f64 104109730557/25000000000 (+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (*.f64 x x)) (/.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 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 3))) (*.f64 12723143231740136880149/125000000000000000000 (/.f64 1 x))))
(+.f64 104109730557/25000000000 (-.f64 (+.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 104109730557/25000000000 (+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (*.f64 x x)) (-.f64 (/.f64 y (pow.f64 x 3)) (+.f64 (/.f64 12723143231740136880149/125000000000000000000 x) (/.f64 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 (pow.f64 x 3))))))
(+.f64 104109730557/25000000000 (+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (*.f64 x x)) (-.f64 (-.f64 (/.f64 y (pow.f64 x 3)) (/.f64 12723143231740136880149/125000000000000000000 x)) (/.f64 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 (pow.f64 x 3)))))
(+.f64 104109730557/25000000000 (+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (*.f64 x x)) (+.f64 (+.f64 (/.f64 y (pow.f64 x 3)) (/.f64 -12723143231740136880149/125000000000000000000 x)) (/.f64 -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 (pow.f64 x 3)))))
104109730557/25000000000
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(fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y)
(.f64 (+.f64 4297481763/31250000 (.f64 (+.f64 393497462077/5000000000 (*.f64 104109730557/25000000000 x)) x)) x)
(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 (+.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 (.f64 x x) 393497462077/5000000000 (.f64 (pow.f64 x 3) 104109730557/25000000000)))
(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 (.f64 x x) 393497462077/5000000000 (.f64 (pow.f64 x 3) 104109730557/25000000000)))
(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 (.f64 x x) 393497462077/5000000000 (.f64 (pow.f64 x 3) 104109730557/25000000000)))
(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 (.f64 x x) 393497462077/5000000000 (.f64 (pow.f64 x 3) 104109730557/25000000000)))
(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 (.f64 x x) 393497462077/5000000000 (.f64 (pow.f64 x 3) 104109730557/25000000000)))
(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 (.f64 x x) 393497462077/5000000000 (.f64 (pow.f64 x 3) 104109730557/25000000000)))
(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 (.f64 x x) 393497462077/5000000000 (.f64 (pow.f64 x 3) 104109730557/25000000000)))
(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 (.f64 x x) 393497462077/5000000000 (.f64 (pow.f64 x 3) 104109730557/25000000000)))
(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 (.f64 x x) 393497462077/5000000000 (.f64 (pow.f64 x 3) 104109730557/25000000000)))
(fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y)

localize436.0ms (1.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(.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)
✓	25.4b	(/.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 218 to 153 computations (29.8% saved)

series34.0ms (0.1%)

Counts

4 → 72

Calls

18 calls:

Time	Variable		Point	Expression
8.0ms	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	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))
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	@	-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))
2.0ms	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))

rewrite123.0ms (0.5%)

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 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-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) 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(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))))))

simplify198.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

400×	`fma-def_binary64`
369×	`+-commutative_binary64`
343×	`associate--r+_binary64`
315×	`cancel-sign-sub-inv_binary64`
291×	`neg-sub0_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	126	2498
1	325	2195
2	887	2061
3	3597	1822
4	7247	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 13764240537310136880149/125000000000000000000 (*.f64 409304707811198655637810418659684985388407301/3125000000000000000000000000000000000000 (/.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 409304707811198655637810418659684985388407301/3125000000000000000000000000000000000000 (.f64 -1 y)) (pow.f64 x 2))) (+.f64 (.f64 104109730557/25000000000 x) (.f64 2284450290879775841688574159837293/625000000000000000000000000000 (/.f64 1 x)))) 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))
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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 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 (+.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)))
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(+.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))
(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))
(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 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 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))

eval369.0ms (1.5%)

Compiler: Compiled 11497 to 7880 computations (31.5% saved)

prune178.0ms (0.7%)

Pruning

36 alts after pruning (35 fresh and 1 done)

	Pruned	Kept	Total
New	288	35	323
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	289	36	325

Error

0.2b

Counts

325 → 36

Alt Table

Click to see full alt table

Status	Error	Program
	35.4b	(*.f64 (+.f64 x -2) (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)))
	35.1b	(-.f64 (*.f64 104109730557/25000000000 x) 13764240537310136880149/125000000000000000000)
	47.8b	(.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)))
	35.4b	(.f64 (+.f64 x -2) (-.f64 104109730557/25000000000 (.f64 12723143231740136880149/125000000000000000000 (/.f64 1 x))))
▶	49.4b	(/.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))
▶	35.2b	(*.f64 x 104109730557/25000000000)
	41.6b	(*.f64 z -1000000000/23533438303)
	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 216700011257/5000000000 (pow.f64 x 2)) (pow.f64 x 3)) 156699607947/500000000) x) 23533438303/500000000))
✓	26.4b	(/.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))
	53.9b	(.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)))
	35.0b	(*.f64 (+.f64 x -2) 104109730557/25000000000)
	27.6b	(/.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 (pow.f64 x 3) 156699607947/500000000) x) 23533438303/500000000))
	44.5b	(/.f64 (.f64 (-.f64 x 2) (+.f64 (.f64 (+.f64 (exp.f64 (log.f64 (.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000)))) y) x) z)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 x 216700011257/5000000000) x) 263505074721/1000000000) x) 156699607947/500000000) x) 23533438303/500000000))
	25.0b	(*.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))))
	26.4b	(/.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 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000)) 156699607947/500000000) x) 23533438303/500000000))
	26.5b	(/.f64 1 (/.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) (+.f64 x -2))))
	28.3b	(/.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 (cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000)) 3)) 156699607947/500000000) x) 23533438303/500000000))
	31.3b	(.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))))
	30.9b	(/.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 x 263505074721/1000000000) 156699607947/500000000) x) 23533438303/500000000))
	33.7b	(+.f64 (.f64 (-.f64 (.f64 500000000/23533438303 (+.f64 (.f64 -2 y) z)) (.f64 -156699607947000000000/553822718361107519809 z)) x) (*.f64 -1000000000/23533438303 z))
	35.4b	(-.f64 (+.f64 (.f64 104109730557/25000000000 x) (.f64 2284450290879775841688574159837293/625000000000000000000000000000 (/.f64 1 x))) 13764240537310136880149/125000000000000000000)
	29.5b	(/.f64 (.f64 (-.f64 x 2) (+.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) 104109730557/25000000000) y) x) z)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 x 216700011257/5000000000) x) 263505074721/1000000000) x) 156699607947/500000000) x) 23533438303/500000000))
	41.8b	(.f64 (+.f64 x -2) (.f64 500000000/23533438303 z))
	34.1b	(.f64 (+.f64 x -2) (+.f64 (.f64 500000000/23533438303 z) (.f64 (-.f64 (.f64 500000000/23533438303 y) (*.f64 78349803973500000000/553822718361107519809 z)) x)))
	26.4b	(+.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)))
▶	24.7b	(.f64 (+.f64 x -2) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (/.f64 (+.f64 (pow.f64 (.f64 x 104109730557/25000000000) 3) 60929246449480706651316240921050533/125000000000000000000000000000) (+.f64 (.f64 (.f64 x 104109730557/25000000000) (.f64 x 104109730557/25000000000)) (-.f64 154840252661040053153929/25000000000000000000 (.f64 (*.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)))
	35.0b	(+.f64 (fma.f64 x 104109730557/25000000000 -13764240537310136880149/125000000000000000000) (-.f64 (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x) (/.f64 (-.f64 409304707811198655637810418659684985388407301/3125000000000000000000000000000000000000 y) (*.f64 x x))))
	25.3b	(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)
▶	35.9b	(.f64 (+.f64 x -2) (+.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (.f64 x x))))
	26.4b	(/.f64 (.f64 (-.f64 x 2) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (pow.f64 (cbrt.f64 (.f64 x 104109730557/25000000000)) 3) 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))
	24.7b	(.f64 (+.f64 x -2) (+.f64 (/.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 z (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000))))
	53.6b	(.f64 (/.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)) y)
	28.9b	(/.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))
	31.0b	(*.f64 (+.f64 x -2) (/.f64 (fma.f64 x y z) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))
▶	31.4b	(+.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))))
	39.8b	(.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)))

Compiler

Compiled 2122 to 1569 computations (26.1% saved)

localize192.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (.f64 x 104109730557/25000000000) 393497462077/5000000000)
	0.6b	(*.f64 x 104109730557/25000000000)
✓	19.5b	(/.f64 (+.f64 (pow.f64 (.f64 x 104109730557/25000000000) 3) 60929246449480706651316240921050533/125000000000000000000000000000) (+.f64 (.f64 (.f64 x 104109730557/25000000000) (.f64 x 104109730557/25000000000)) (-.f64 154840252661040053153929/25000000000000000000 (.f64 (.f64 x 104109730557/25000000000) 393497462077/5000000000))))
✓	23.9b	(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (/.f64 (+.f64 (pow.f64 (.f64 x 104109730557/25000000000) 3) 60929246449480706651316240921050533/125000000000000000000000000000) (+.f64 (.f64 (.f64 x 104109730557/25000000000) (.f64 x 104109730557/25000000000)) (-.f64 154840252661040053153929/25000000000000000000 (.f64 (.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 303 to 227 computations (25.1% saved)

series16.0ms (0.1%)

Counts

3 → 60

Calls

15 calls:

Time	Variable		Point	Expression
3.0ms	y	@	0	(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (/.f64 (+.f64 (pow.f64 (.f64 x 104109730557/25000000000) 3) 60929246449480706651316240921050533/125000000000000000000000000000) (+.f64 (.f64 (.f64 x 104109730557/25000000000) (.f64 x 104109730557/25000000000)) (-.f64 154840252661040053153929/25000000000000000000 (.f64 (.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	z	@	0	(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (/.f64 (+.f64 (pow.f64 (.f64 x 104109730557/25000000000) 3) 60929246449480706651316240921050533/125000000000000000000000000000) (+.f64 (.f64 (.f64 x 104109730557/25000000000) (.f64 x 104109730557/25000000000)) (-.f64 154840252661040053153929/25000000000000000000 (.f64 (.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	y	@	inf	(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (/.f64 (+.f64 (pow.f64 (.f64 x 104109730557/25000000000) 3) 60929246449480706651316240921050533/125000000000000000000000000000) (+.f64 (.f64 (.f64 x 104109730557/25000000000) (.f64 x 104109730557/25000000000)) (-.f64 154840252661040053153929/25000000000000000000 (.f64 (.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	y	@	-inf	(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (/.f64 (+.f64 (pow.f64 (.f64 x 104109730557/25000000000) 3) 60929246449480706651316240921050533/125000000000000000000000000000) (+.f64 (.f64 (.f64 x 104109730557/25000000000) (.f64 x 104109730557/25000000000)) (-.f64 154840252661040053153929/25000000000000000000 (.f64 (.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	@	inf	(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (/.f64 (+.f64 (pow.f64 (.f64 x 104109730557/25000000000) 3) 60929246449480706651316240921050533/125000000000000000000000000000) (+.f64 (.f64 (.f64 x 104109730557/25000000000) (.f64 x 104109730557/25000000000)) (-.f64 154840252661040053153929/25000000000000000000 (.f64 (.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))

rewrite119.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

333×	`add-sqr-sqrt_binary64`
315×	`add-cbrt-cube_binary64`
315×	`add-log-exp_binary64`
315×	`log1p-expm1-u_binary64`
315×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	90
1	682	82

Stop Event

1×	node limit

Counts

3 → 73

Calls

Call 1

Inputs

(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (/.f64 (+.f64 (pow.f64 (*.f64 x 104109730557/25000000000) 3) 60929246449480706651316240921050533/125000000000000000000000000000) (+.f64 (*.f64 (*.f64 x 104109730557/25000000000) (*.f64 x 104109730557/25000000000)) (-.f64 154840252661040053153929/25000000000000000000 (*.f64 (*.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 (pow.f64 (*.f64 x 104109730557/25000000000) 3) 60929246449480706651316240921050533/125000000000000000000000000000) (+.f64 (*.f64 (*.f64 x 104109730557/25000000000) (*.f64 x 104109730557/25000000000)) (-.f64 154840252661040053153929/25000000000000000000 (*.f64 (*.f64 x 104109730557/25000000000) 393497462077/5000000000))))

(*.f64 (*.f64 x 104109730557/25000000000) 393497462077/5000000000)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (pow.f64 x 3) 1128428295162862690821234941118693/15625000000000000000000000000000 60929246449480706651316240921050533/125000000000000000000000000000) (+.f64 (fma.f64 (*.f64 x x) 10838835996651139530249/625000000000000000000 154840252661040053153929/25000000000000000000) (*.f64 x -40966914751699795586889/125000000000000000000))) 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 (/.f64 (fma.f64 (pow.f64 x 3) 1128428295162862690821234941118693/15625000000000000000000000000000 60929246449480706651316240921050533/125000000000000000000000000000) (+.f64 (fma.f64 (*.f64 x x) 10838835996651139530249/625000000000000000000 154840252661040053153929/25000000000000000000) (*.f64 x -40966914751699795586889/125000000000000000000))) 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 (fma.f64 x (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (pow.f64 x 3) 1128428295162862690821234941118693/15625000000000000000000000000000 60929246449480706651316240921050533/125000000000000000000000000000) (+.f64 (fma.f64 (*.f64 x x) 10838835996651139530249/625000000000000000000 154840252661040053153929/25000000000000000000) (*.f64 x -40966914751699795586889/125000000000000000000))) 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 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (pow.f64 x 3) 1128428295162862690821234941118693/15625000000000000000000000000000 60929246449480706651316240921050533/125000000000000000000000000000) (+.f64 (fma.f64 (*.f64 x x) 10838835996651139530249/625000000000000000000 154840252661040053153929/25000000000000000000) (*.f64 x -40966914751699795586889/125000000000000000000))) 4297481763/31250000) y) z) (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 (/.f64 (fma.f64 (pow.f64 x 3) 1128428295162862690821234941118693/15625000000000000000000000000000 60929246449480706651316240921050533/125000000000000000000000000000) (+.f64 (fma.f64 (*.f64 x x) 10838835996651139530249/625000000000000000000 154840252661040053153929/25000000000000000000) (*.f64 x -40966914751699795586889/125000000000000000000))) 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 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (pow.f64 x 3) 1128428295162862690821234941118693/15625000000000000000000000000000 60929246449480706651316240921050533/125000000000000000000000000000) (+.f64 (fma.f64 (*.f64 x x) 10838835996651139530249/625000000000000000000 154840252661040053153929/25000000000000000000) (*.f64 x -40966914751699795586889/125000000000000000000))) 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 (/.f64 (fma.f64 (pow.f64 x 3) 1128428295162862690821234941118693/15625000000000000000000000000000 60929246449480706651316240921050533/125000000000000000000000000000) (+.f64 (fma.f64 (*.f64 x x) 10838835996651139530249/625000000000000000000 154840252661040053153929/25000000000000000000) (*.f64 x -40966914751699795586889/125000000000000000000))) 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 (neg.f64 (fma.f64 x (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (pow.f64 x 3) 1128428295162862690821234941118693/15625000000000000000000000000000 60929246449480706651316240921050533/125000000000000000000000000000) (+.f64 (fma.f64 (*.f64 x x) 10838835996651139530249/625000000000000000000 154840252661040053153929/25000000000000000000) (*.f64 x -40966914751699795586889/125000000000000000000))) 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 (/.f64 (fma.f64 (pow.f64 x 3) 1128428295162862690821234941118693/15625000000000000000000000000000 60929246449480706651316240921050533/125000000000000000000000000000) (+.f64 (fma.f64 (*.f64 x x) 10838835996651139530249/625000000000000000000 154840252661040053153929/25000000000000000000) (*.f64 x -40966914751699795586889/125000000000000000000))) 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 (/.f64 (fma.f64 (pow.f64 x 3) 1128428295162862690821234941118693/15625000000000000000000000000000 60929246449480706651316240921050533/125000000000000000000000000000) (+.f64 (fma.f64 (*.f64 x x) 10838835996651139530249/625000000000000000000 154840252661040053153929/25000000000000000000) (*.f64 x -40966914751699795586889/125000000000000000000))) 4297481763/31250000) y) z)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (pow.f64 x 3) 1128428295162862690821234941118693/15625000000000000000000000000000 60929246449480706651316240921050533/125000000000000000000000000000) (+.f64 (fma.f64 (*.f64 x x) 10838835996651139530249/625000000000000000000 154840252661040053153929/25000000000000000000) (*.f64 x -40966914751699795586889/125000000000000000000))) 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 (/.f64 (fma.f64 (pow.f64 x 3) 1128428295162862690821234941118693/15625000000000000000000000000000 60929246449480706651316240921050533/125000000000000000000000000000) (+.f64 (fma.f64 (*.f64 x x) 10838835996651139530249/625000000000000000000 154840252661040053153929/25000000000000000000) (*.f64 x -40966914751699795586889/125000000000000000000))) 4297481763/31250000) y) z)) 1) (/.f64 (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (pow.f64 x 3) 1128428295162862690821234941118693/15625000000000000000000000000000 60929246449480706651316240921050533/125000000000000000000000000000) (+.f64 (fma.f64 (*.f64 x x) 10838835996651139530249/625000000000000000000 154840252661040053153929/25000000000000000000) (*.f64 x -40966914751699795586889/125000000000000000000))) 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 (/.f64 (fma.f64 (pow.f64 x 3) 1128428295162862690821234941118693/15625000000000000000000000000000 60929246449480706651316240921050533/125000000000000000000000000000) (+.f64 (fma.f64 (*.f64 x x) 10838835996651139530249/625000000000000000000 154840252661040053153929/25000000000000000000) (*.f64 x -40966914751699795586889/125000000000000000000))) 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 (/.f64 (fma.f64 (pow.f64 x 3) 1128428295162862690821234941118693/15625000000000000000000000000000 60929246449480706651316240921050533/125000000000000000000000000000) (+.f64 (fma.f64 (*.f64 x x) 10838835996651139530249/625000000000000000000 154840252661040053153929/25000000000000000000) (*.f64 x -40966914751699795586889/125000000000000000000))) 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 (/.f64 (fma.f64 (pow.f64 x 3) 1128428295162862690821234941118693/15625000000000000000000000000000 60929246449480706651316240921050533/125000000000000000000000000000) (+.f64 (fma.f64 (*.f64 x x) 10838835996651139530249/625000000000000000000 154840252661040053153929/25000000000000000000) (*.f64 x -40966914751699795586889/125000000000000000000))) 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 (/.f64 (fma.f64 (pow.f64 x 3) 1128428295162862690821234941118693/15625000000000000000000000000000 60929246449480706651316240921050533/125000000000000000000000000000) (+.f64 (fma.f64 (*.f64 x x) 10838835996651139530249/625000000000000000000 154840252661040053153929/25000000000000000000) (*.f64 x -40966914751699795586889/125000000000000000000))) 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 (/.f64 (fma.f64 (pow.f64 x 3) 1128428295162862690821234941118693/15625000000000000000000000000000 60929246449480706651316240921050533/125000000000000000000000000000) (+.f64 (fma.f64 (*.f64 x x) 10838835996651139530249/625000000000000000000 154840252661040053153929/25000000000000000000) (*.f64 x -40966914751699795586889/125000000000000000000))) 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 (/.f64 (fma.f64 (pow.f64 x 3) 1128428295162862690821234941118693/15625000000000000000000000000000 60929246449480706651316240921050533/125000000000000000000000000000) (+.f64 (fma.f64 (*.f64 x x) 10838835996651139530249/625000000000000000000 154840252661040053153929/25000000000000000000) (*.f64 x -40966914751699795586889/125000000000000000000))) 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 (/.f64 (fma.f64 (pow.f64 x 3) 1128428295162862690821234941118693/15625000000000000000000000000000 60929246449480706651316240921050533/125000000000000000000000000000) (+.f64 (fma.f64 (*.f64 x x) 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x 40966914751699795586889/125000000000000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 40966914751699795586889/125000000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 40966914751699795586889/125000000000000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x 40966914751699795586889/125000000000000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) 68754285696545418468412548357030160255381816630019168709915803913369/1953125000000000000000000000000000000000000000000000000000000) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x x) 1678288104273038324303905066462707319948698321/15625000000000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) 40966914751699795586889/125000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x 40966914751699795586889/125000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) 68754285696545418468412548357030160255381816630019168709915803913369/1953125000000000000000000000000000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x 40966914751699795586889/125000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x 40966914751699795586889/125000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x 40966914751699795586889/125000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x 40966914751699795586889/125000000000000000000)) 1))))))

simplify172.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

597×	`associate-l_binary64`
546×	`associate-+l+_binary64`
535×	`associate-r_binary64`
433×	`distribute-rgt-in_binary64`
401×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	106	2650
1	256	2334
2	713	2176
3	2550	1749

Stop Event

1×	node limit

Counts

133 → 107

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 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 (/.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 (.f64 -1 (/.f64 (+.f64 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 (.f64 -1 y)) (pow.f64 x 3))) (+.f64 104109730557/25000000000 (.f64 2157218858562374472887084159837293/625000000000000000000000000000 (/.f64 1 (pow.f64 x 2))))) (.f64 12723143231740136880149/125000000000000000000 (/.f64 1 x)))
(/.f64 (+.f64 z (.f64 (+.f64 4297481763/31250000 (/.f64 (.f64 (+.f64 (.f64 1128428295162862690821234941118693/15625000000000000000000000000000 (pow.f64 x 3)) 60929246449480706651316240921050533/125000000000000000000000000000) x) (-.f64 (+.f64 154840252661040053153929/25000000000000000000 (.f64 10838835996651139530249/625000000000000000000 (pow.f64 x 2))) (.f64 40966914751699795586889/125000000000000000000 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 (/.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 (+.f64 (.f64 1128428295162862690821234941118693/15625000000000000000000000000000 (pow.f64 x 3)) 60929246449480706651316240921050533/125000000000000000000000000000) x) (-.f64 (+.f64 154840252661040053153929/25000000000000000000 (.f64 10838835996651139530249/625000000000000000000 (pow.f64 x 2))) (.f64 40966914751699795586889/125000000000000000000 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 (+.f64 (.f64 1128428295162862690821234941118693/15625000000000000000000000000000 (pow.f64 x 3)) 60929246449480706651316240921050533/125000000000000000000000000000) x) (-.f64 (+.f64 154840252661040053153929/25000000000000000000 (.f64 10838835996651139530249/625000000000000000000 (pow.f64 x 2))) (.f64 40966914751699795586889/125000000000000000000 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 (+.f64 (.f64 1128428295162862690821234941118693/15625000000000000000000000000000 (pow.f64 x 3)) 60929246449480706651316240921050533/125000000000000000000000000000) x) (-.f64 (+.f64 154840252661040053153929/25000000000000000000 (.f64 10838835996651139530249/625000000000000000000 (pow.f64 x 2))) (.f64 40966914751699795586889/125000000000000000000 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 y x) (+.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 (+.f64 (.f64 1128428295162862690821234941118693/15625000000000000000000000000000 (pow.f64 x 3)) 60929246449480706651316240921050533/125000000000000000000000000000) x) (-.f64 (+.f64 154840252661040053153929/25000000000000000000 (.f64 10838835996651139530249/625000000000000000000 (pow.f64 x 2))) (.f64 40966914751699795586889/125000000000000000000 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 (+.f64 (.f64 1128428295162862690821234941118693/15625000000000000000000000000000 (pow.f64 x 3)) 60929246449480706651316240921050533/125000000000000000000000000000) x) (-.f64 (+.f64 154840252661040053153929/25000000000000000000 (.f64 10838835996651139530249/625000000000000000000 (pow.f64 x 2))) (.f64 40966914751699795586889/125000000000000000000 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 (+.f64 (.f64 1128428295162862690821234941118693/15625000000000000000000000000000 (pow.f64 x 3)) 60929246449480706651316240921050533/125000000000000000000000000000) x) (-.f64 (+.f64 154840252661040053153929/25000000000000000000 (.f64 10838835996651139530249/625000000000000000000 (pow.f64 x 2))) (.f64 40966914751699795586889/125000000000000000000 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 y x) (+.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 (+.f64 (.f64 1128428295162862690821234941118693/15625000000000000000000000000000 (pow.f64 x 3)) 60929246449480706651316240921050533/125000000000000000000000000000) x) (-.f64 (+.f64 154840252661040053153929/25000000000000000000 (.f64 10838835996651139530249/625000000000000000000 (pow.f64 x 2))) (.f64 40966914751699795586889/125000000000000000000 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 (+.f64 (.f64 1128428295162862690821234941118693/15625000000000000000000000000000 (pow.f64 x 3)) 60929246449480706651316240921050533/125000000000000000000000000000) x) (-.f64 (+.f64 154840252661040053153929/25000000000000000000 (.f64 10838835996651139530249/625000000000000000000 (pow.f64 x 2))) (.f64 40966914751699795586889/125000000000000000000 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 (+.f64 (.f64 1128428295162862690821234941118693/15625000000000000000000000000000 (pow.f64 x 3)) 60929246449480706651316240921050533/125000000000000000000000000000) x) (-.f64 (+.f64 154840252661040053153929/25000000000000000000 (.f64 10838835996651139530249/625000000000000000000 (pow.f64 x 2))) (.f64 40966914751699795586889/125000000000000000000 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 (.f64 (+.f64 4297481763/31250000 (/.f64 (.f64 (+.f64 (.f64 1128428295162862690821234941118693/15625000000000000000000000000000 (pow.f64 x 3)) 60929246449480706651316240921050533/125000000000000000000000000000) x) (-.f64 (+.f64 154840252661040053153929/25000000000000000000 (.f64 10838835996651139530249/625000000000000000000 (pow.f64 x 2))) (.f64 40966914751699795586889/125000000000000000000 x)))) x)) 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 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) (/.f64 (.f64 (+.f64 y (.f64 (+.f64 4297481763/31250000 (/.f64 (.f64 (+.f64 (.f64 1128428295162862690821234941118693/15625000000000000000000000000000 (pow.f64 x 3)) 60929246449480706651316240921050533/125000000000000000000000000000) x) (-.f64 (+.f64 154840252661040053153929/25000000000000000000 (.f64 10838835996651139530249/625000000000000000000 (pow.f64 x 2))) (.f64 40966914751699795586889/125000000000000000000 x)))) x)) 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 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) (/.f64 (.f64 (+.f64 y (.f64 (+.f64 4297481763/31250000 (/.f64 (.f64 (+.f64 (.f64 1128428295162862690821234941118693/15625000000000000000000000000000 (pow.f64 x 3)) 60929246449480706651316240921050533/125000000000000000000000000000) x) (-.f64 (+.f64 154840252661040053153929/25000000000000000000 (.f64 10838835996651139530249/625000000000000000000 (pow.f64 x 2))) (.f64 40966914751699795586889/125000000000000000000 x)))) x)) 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 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) (/.f64 (.f64 (+.f64 y (.f64 (+.f64 4297481763/31250000 (/.f64 (.f64 (+.f64 (.f64 1128428295162862690821234941118693/15625000000000000000000000000000 (pow.f64 x 3)) 60929246449480706651316240921050533/125000000000000000000000000000) x) (-.f64 (+.f64 154840252661040053153929/25000000000000000000 (.f64 10838835996651139530249/625000000000000000000 (pow.f64 x 2))) (.f64 40966914751699795586889/125000000000000000000 x)))) x)) x) (+.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 (+.f64 y (.f64 (+.f64 4297481763/31250000 (/.f64 (.f64 (+.f64 (.f64 1128428295162862690821234941118693/15625000000000000000000000000000 (pow.f64 x 3)) 60929246449480706651316240921050533/125000000000000000000000000000) x) (-.f64 (+.f64 154840252661040053153929/25000000000000000000 (.f64 10838835996651139530249/625000000000000000000 (pow.f64 x 2))) (.f64 40966914751699795586889/125000000000000000000 x)))) x)) x) (+.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 (+.f64 y (.f64 (+.f64 4297481763/31250000 (/.f64 (.f64 (+.f64 (.f64 1128428295162862690821234941118693/15625000000000000000000000000000 (pow.f64 x 3)) 60929246449480706651316240921050533/125000000000000000000000000000) x) (-.f64 (+.f64 154840252661040053153929/25000000000000000000 (.f64 10838835996651139530249/625000000000000000000 (pow.f64 x 2))) (.f64 40966914751699795586889/125000000000000000000 x)))) x)) x) (+.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 (+.f64 y (.f64 (+.f64 4297481763/31250000 (/.f64 (.f64 (+.f64 (.f64 1128428295162862690821234941118693/15625000000000000000000000000000 (pow.f64 x 3)) 60929246449480706651316240921050533/125000000000000000000000000000) x) (-.f64 (+.f64 154840252661040053153929/25000000000000000000 (.f64 10838835996651139530249/625000000000000000000 (pow.f64 x 2))) (.f64 40966914751699795586889/125000000000000000000 x)))) x)) x) (+.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 z (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000))
(+.f64 (/.f64 (.f64 (+.f64 y (.f64 (+.f64 4297481763/31250000 (/.f64 (.f64 (+.f64 (.f64 1128428295162862690821234941118693/15625000000000000000000000000000 (pow.f64 x 3)) 60929246449480706651316240921050533/125000000000000000000000000000) x) (-.f64 (+.f64 154840252661040053153929/25000000000000000000 (.f64 10838835996651139530249/625000000000000000000 (pow.f64 x 2))) (.f64 40966914751699795586889/125000000000000000000 x)))) x)) x) (+.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 (+.f64 y (.f64 (+.f64 4297481763/31250000 (/.f64 (.f64 (+.f64 (.f64 1128428295162862690821234941118693/15625000000000000000000000000000 (pow.f64 x 3)) 60929246449480706651316240921050533/125000000000000000000000000000) x) (-.f64 (+.f64 154840252661040053153929/25000000000000000000 (.f64 10838835996651139530249/625000000000000000000 (pow.f64 x 2))) (.f64 40966914751699795586889/125000000000000000000 x)))) x)) x) (+.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 (+.f64 y (.f64 (+.f64 4297481763/31250000 (/.f64 (.f64 (+.f64 (.f64 1128428295162862690821234941118693/15625000000000000000000000000000 (pow.f64 x 3)) 60929246449480706651316240921050533/125000000000000000000000000000) x) (-.f64 (+.f64 154840252661040053153929/25000000000000000000 (.f64 10838835996651139530249/625000000000000000000 (pow.f64 x 2))) (.f64 40966914751699795586889/125000000000000000000 x)))) x)) x) (+.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)))
393497462077/5000000000
(+.f64 393497462077/5000000000 (*.f64 104109730557/25000000000 x))
(+.f64 393497462077/5000000000 (*.f64 104109730557/25000000000 x))
(+.f64 393497462077/5000000000 (*.f64 104109730557/25000000000 x))
(*.f64 104109730557/25000000000 x)
(+.f64 393497462077/5000000000 (*.f64 104109730557/25000000000 x))
(+.f64 393497462077/5000000000 (*.f64 104109730557/25000000000 x))
(+.f64 393497462077/5000000000 (*.f64 104109730557/25000000000 x))
(*.f64 104109730557/25000000000 x)
(+.f64 393497462077/5000000000 (*.f64 104109730557/25000000000 x))
(+.f64 393497462077/5000000000 (*.f64 104109730557/25000000000 x))
(+.f64 393497462077/5000000000 (*.f64 104109730557/25000000000 x))
(*.f64 40966914751699795586889/125000000000000000000 x)
(*.f64 40966914751699795586889/125000000000000000000 x)
(*.f64 40966914751699795586889/125000000000000000000 x)
(*.f64 40966914751699795586889/125000000000000000000 x)
(*.f64 40966914751699795586889/125000000000000000000 x)
(*.f64 40966914751699795586889/125000000000000000000 x)
(*.f64 40966914751699795586889/125000000000000000000 x)
(*.f64 40966914751699795586889/125000000000000000000 x)
(*.f64 40966914751699795586889/125000000000000000000 x)
(*.f64 40966914751699795586889/125000000000000000000 x)
(*.f64 40966914751699795586889/125000000000000000000 x)
(*.f64 40966914751699795586889/125000000000000000000 x)

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 -78349803973500000000/553822718361107519809 z)) 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 -78349803973500000000/553822718361107519809 z)) (.f64 z 65876268680250000000/553822718361107519809))) (.f64 x x) (fma.f64 500000000/23533438303 z (.f64 (+.f64 (.f64 500000000/23533438303 y) (*.f64 -78349803973500000000/553822718361107519809 z)) 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 (.f64 x (-.f64 68759708208/23533438303 (fma.f64 z 65876268680250000000/553822718361107519809 (+.f64 (.f64 y 78349803973500000000/553822718361107519809) (.f64 z -12277383565371752777404500000000/13033352773350869092174451844127))))) (fma.f64 500000000/23533438303 y (*.f64 z -78349803973500000000/553822718361107519809)))))
(fma.f64 500000000/23533438303 z (.f64 x (+.f64 (.f64 x (+.f64 68759708208/23533438303 (-.f64 (.f64 y -78349803973500000000/553822718361107519809) (.f64 z -10727088460753238167788750000000/13033352773350869092174451844127)))) (fma.f64 500000000/23533438303 y (*.f64 z -78349803973500000000/553822718361107519809)))))
(+.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 -78349803973500000000/553822718361107519809 z)) (fma.f64 156699607947/23533438303 (-.f64 68759708208/23533438303 (fma.f64 156699607947/23533438303 (+.f64 (.f64 500000000/23533438303 y) (.f64 -78349803973500000000/553822718361107519809 z)) (.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 -78349803973500000000/553822718361107519809 z)) (.f64 z 65876268680250000000/553822718361107519809))) (.f64 x x) (fma.f64 500000000/23533438303 z (.f64 (+.f64 (.f64 500000000/23533438303 y) (*.f64 -78349803973500000000/553822718361107519809 z)) 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 156699607947/23533438303 (-.f64 68759708208/23533438303 (fma.f64 z 65876268680250000000/553822718361107519809 (+.f64 (.f64 y 78349803973500000000/553822718361107519809) (.f64 z -12277383565371752777404500000000/13033352773350869092174451844127)))) (fma.f64 z 10835000562850000000/553822718361107519809 (+.f64 (.f64 y 65876268680250000000/553822718361107519809) (.f64 z -10322785475206410101946750000000/13033352773350869092174451844127))))) (pow.f64 x 3) (fma.f64 500000000/23533438303 z (.f64 x (+.f64 (.f64 x (-.f64 68759708208/23533438303 (fma.f64 z 65876268680250000000/553822718361107519809 (+.f64 (.f64 y 78349803973500000000/553822718361107519809) (.f64 z -12277383565371752777404500000000/13033352773350869092174451844127))))) (fma.f64 500000000/23533438303 y (*.f64 z -78349803973500000000/553822718361107519809))))))
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104109730557/25000000000
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(fma.f64 x 104109730557/25000000000 393497462077/5000000000)
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(+.f64 393497462077/5000000000 (*.f64 x 104109730557/25000000000))
(fma.f64 x 104109730557/25000000000 393497462077/5000000000)
(+.f64 393497462077/5000000000 (*.f64 104109730557/25000000000 x))
(+.f64 393497462077/5000000000 (*.f64 x 104109730557/25000000000))
(fma.f64 x 104109730557/25000000000 393497462077/5000000000)
(*.f64 104109730557/25000000000 x)
(*.f64 x 104109730557/25000000000)
(+.f64 393497462077/5000000000 (*.f64 104109730557/25000000000 x))
(+.f64 393497462077/5000000000 (*.f64 x 104109730557/25000000000))
(fma.f64 x 104109730557/25000000000 393497462077/5000000000)
(+.f64 393497462077/5000000000 (*.f64 104109730557/25000000000 x))
(+.f64 393497462077/5000000000 (*.f64 x 104109730557/25000000000))
(fma.f64 x 104109730557/25000000000 393497462077/5000000000)
(+.f64 393497462077/5000000000 (*.f64 104109730557/25000000000 x))
(+.f64 393497462077/5000000000 (*.f64 x 104109730557/25000000000))
(fma.f64 x 104109730557/25000000000 393497462077/5000000000)
(*.f64 40966914751699795586889/125000000000000000000 x)
(*.f64 x 40966914751699795586889/125000000000000000000)
(*.f64 40966914751699795586889/125000000000000000000 x)
(*.f64 x 40966914751699795586889/125000000000000000000)
(*.f64 40966914751699795586889/125000000000000000000 x)
(*.f64 x 40966914751699795586889/125000000000000000000)
(*.f64 40966914751699795586889/125000000000000000000 x)
(*.f64 x 40966914751699795586889/125000000000000000000)
(*.f64 40966914751699795586889/125000000000000000000 x)
(*.f64 x 40966914751699795586889/125000000000000000000)
(*.f64 40966914751699795586889/125000000000000000000 x)
(*.f64 x 40966914751699795586889/125000000000000000000)
(*.f64 40966914751699795586889/125000000000000000000 x)
(*.f64 x 40966914751699795586889/125000000000000000000)
(*.f64 40966914751699795586889/125000000000000000000 x)
(*.f64 x 40966914751699795586889/125000000000000000000)
(*.f64 40966914751699795586889/125000000000000000000 x)
(*.f64 x 40966914751699795586889/125000000000000000000)
(*.f64 40966914751699795586889/125000000000000000000 x)
(*.f64 x 40966914751699795586889/125000000000000000000)
(*.f64 40966914751699795586889/125000000000000000000 x)
(*.f64 x 40966914751699795586889/125000000000000000000)
(*.f64 40966914751699795586889/125000000000000000000 x)
(*.f64 x 40966914751699795586889/125000000000000000000)

localize9.0ms (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)

localize57.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x))
✓	0.1b	(/.f64 -12723143231740136880149/125000000000000000000 x)
✓	0.3b	(.f64 (+.f64 x -2) (+.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (.f64 x x))))
✓	0.6b	(/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (*.f64 x x))

Compiler

Compiled 53 to 35 computations (34% saved)

series9.0ms (0%)

Counts

4 → 36

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (*.f64 x x))
1.0ms	x	@	0	(+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x))
1.0ms	x	@	0	(/.f64 -12723143231740136880149/125000000000000000000 x)
1.0ms	x	@	0	(.f64 (+.f64 x -2) (+.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (.f64 x x))))
1.0ms	x	@	inf	(.f64 (+.f64 x -2) (+.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (.f64 x x))))

rewrite221.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

664×	`log-prod_binary64`
570×	`fma-def_binary64`
327×	`log-div_binary64`
283×	`fma-neg_binary64`
277×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	40
1	318	38
2	4845	38

Stop Event

1×	node limit

Counts

4 → 173

Calls

Call 1

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

Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 (+.f64 x -2) (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 x)) x) (.f64 (+.f64 x -2) (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 x -2) (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x))) (/.f64 (.f64 (+.f64 x -2) (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (+.f64 x -2) (+.f64 104109730557/25000000000 (fma.f64 2157218858562374472887084159837293/625000000000000000000000000000 (pow.f64 x -2) (/.f64 -12723143231740136880149/125000000000000000000 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 104109730557/25000000000 (+.f64 x -2)) (.f64 (fma.f64 2157218858562374472887084159837293/625000000000000000000000000000 (pow.f64 x -2) (/.f64 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simplify102.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

674×	`fma-neg_binary64`
457×	`distribute-neg-frac_binary64`
438×	`distribute-rgt-neg-in_binary64`
438×	`cancel-sign-sub-inv_binary64`
434×	`unswap-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	289
1	74	289
2	151	289
3	312	289
4	773	289
5	2263	289
6	6013	289

Stop Event

1×	node limit

Counts

209 → 193

Calls

Call 1

Inputs
(/.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))
(/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (pow.f64 x 2))
(/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (pow.f64 x 2))
(/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (pow.f64 x 2))
(/.f64 -2157218858562374472887084159837293/312500000000000000000000000000 (pow.f64 x 2))
(-.f64 (.f64 2284450290879775841688574159837293/625000000000000000000000000000 (/.f64 1 x)) (.f64 2157218858562374472887084159837293/312500000000000000000000000000 (/.f64 1 (pow.f64 x 2))))
(-.f64 (.f64 2284450290879775841688574159837293/625000000000000000000000000000 (/.f64 1 x)) (+.f64 13764240537310136880149/125000000000000000000 (.f64 2157218858562374472887084159837293/312500000000000000000000000000 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 104109730557/25000000000 x) (.f64 2284450290879775841688574159837293/625000000000000000000000000000 (/.f64 1 x))) (+.f64 13764240537310136880149/125000000000000000000 (*.f64 2157218858562374472887084159837293/312500000000000000000000000000 (/.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 104109730557/25000000000 x) (.f64 2284450290879775841688574159837293/625000000000000000000000000000 (/.f64 1 x))) (+.f64 13764240537310136880149/125000000000000000000 (*.f64 2157218858562374472887084159837293/312500000000000000000000000000 (/.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 104109730557/25000000000 x) (.f64 2284450290879775841688574159837293/625000000000000000000000000000 (/.f64 1 x))) (+.f64 13764240537310136880149/125000000000000000000 (*.f64 2157218858562374472887084159837293/312500000000000000000000000000 (/.f64 1 (pow.f64 x 2)))))
(/.f64 -12723143231740136880149/125000000000000000000 x)
(-.f64 104109730557/25000000000 (*.f64 12723143231740136880149/125000000000000000000 (/.f64 1 x)))
(-.f64 104109730557/25000000000 (*.f64 12723143231740136880149/125000000000000000000 (/.f64 1 x)))
(-.f64 104109730557/25000000000 (*.f64 12723143231740136880149/125000000000000000000 (/.f64 1 x)))
104109730557/25000000000
(-.f64 104109730557/25000000000 (*.f64 12723143231740136880149/125000000000000000000 (/.f64 1 x)))
(-.f64 104109730557/25000000000 (*.f64 12723143231740136880149/125000000000000000000 (/.f64 1 x)))
(-.f64 104109730557/25000000000 (*.f64 12723143231740136880149/125000000000000000000 (/.f64 1 x)))
104109730557/25000000000
(-.f64 104109730557/25000000000 (*.f64 12723143231740136880149/125000000000000000000 (/.f64 1 x)))
(-.f64 104109730557/25000000000 (*.f64 12723143231740136880149/125000000000000000000 (/.f64 1 x)))
(-.f64 104109730557/25000000000 (*.f64 12723143231740136880149/125000000000000000000 (/.f64 1 x)))

Outputs
(/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (pow.f64 x 2))
(/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (*.f64 x x))
(/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (pow.f64 x 2))
(/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (*.f64 x x))
(/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (pow.f64 x 2))
(/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (*.f64 x x))
(/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (pow.f64 x 2))
(/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (*.f64 x x))
(/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (pow.f64 x 2))
(/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (*.f64 x x))
(/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (pow.f64 x 2))
(/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (*.f64 x x))
(/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (pow.f64 x 2))
(/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (*.f64 x x))
(/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (pow.f64 x 2))
(/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (*.f64 x x))
(/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (pow.f64 x 2))
(/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (*.f64 x x))
(/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (pow.f64 x 2))
(/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (*.f64 x x))
(/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (pow.f64 x 2))
(/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (*.f64 x x))
(/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (pow.f64 x 2))
(/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (*.f64 x x))
(/.f64 -2157218858562374472887084159837293/312500000000000000000000000000 (pow.f64 x 2))
(/.f64 -2157218858562374472887084159837293/312500000000000000000000000000 (*.f64 x x))
(/.f64 (/.f64 -2157218858562374472887084159837293/312500000000000000000000000000 x) x)
(-.f64 (.f64 2284450290879775841688574159837293/625000000000000000000000000000 (/.f64 1 x)) (.f64 2157218858562374472887084159837293/312500000000000000000000000000 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x) (/.f64 2157218858562374472887084159837293/312500000000000000000000000000 (*.f64 x x)))
(+.f64 (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x) (/.f64 -2157218858562374472887084159837293/312500000000000000000000000000 (*.f64 x x)))
(+.f64 (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x) (/.f64 (/.f64 -2157218858562374472887084159837293/312500000000000000000000000000 x) x))
(-.f64 (.f64 2284450290879775841688574159837293/625000000000000000000000000000 (/.f64 1 x)) (+.f64 13764240537310136880149/125000000000000000000 (.f64 2157218858562374472887084159837293/312500000000000000000000000000 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (-.f64 (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x) 13764240537310136880149/125000000000000000000) (/.f64 2157218858562374472887084159837293/312500000000000000000000000000 (*.f64 x x)))
(+.f64 (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x) (+.f64 -13764240537310136880149/125000000000000000000 (/.f64 -2157218858562374472887084159837293/312500000000000000000000000000 (*.f64 x x))))
(+.f64 (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x) (-.f64 -13764240537310136880149/125000000000000000000 (/.f64 2157218858562374472887084159837293/312500000000000000000000000000 (*.f64 x x))))
(+.f64 (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x) (+.f64 -13764240537310136880149/125000000000000000000 (/.f64 (/.f64 -2157218858562374472887084159837293/312500000000000000000000000000 x) x)))
(-.f64 (+.f64 (.f64 104109730557/25000000000 x) (.f64 2284450290879775841688574159837293/625000000000000000000000000000 (/.f64 1 x))) (+.f64 13764240537310136880149/125000000000000000000 (*.f64 2157218858562374472887084159837293/312500000000000000000000000000 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (fma.f64 104109730557/25000000000 x (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x)) (+.f64 (/.f64 2157218858562374472887084159837293/312500000000000000000000000000 (*.f64 x x)) 13764240537310136880149/125000000000000000000))
(+.f64 (fma.f64 x 104109730557/25000000000 (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x)) (+.f64 -13764240537310136880149/125000000000000000000 (/.f64 -2157218858562374472887084159837293/312500000000000000000000000000 (*.f64 x x))))
(+.f64 (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x) (-.f64 (fma.f64 x 104109730557/25000000000 -13764240537310136880149/125000000000000000000) (/.f64 2157218858562374472887084159837293/312500000000000000000000000000 (*.f64 x x))))
(fma.f64 x 104109730557/25000000000 (+.f64 (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x) (+.f64 -13764240537310136880149/125000000000000000000 (/.f64 -2157218858562374472887084159837293/312500000000000000000000000000 (*.f64 x x)))))
(+.f64 (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x) (+.f64 (fma.f64 x 104109730557/25000000000 -13764240537310136880149/125000000000000000000) (/.f64 -2157218858562374472887084159837293/312500000000000000000000000000 (*.f64 x x))))
(+.f64 (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x) (+.f64 -13764240537310136880149/125000000000000000000 (fma.f64 x 104109730557/25000000000 (/.f64 (/.f64 -2157218858562374472887084159837293/312500000000000000000000000000 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 (+.f64 (.f64 104109730557/25000000000 x) (.f64 2284450290879775841688574159837293/625000000000000000000000000000 (/.f64 1 x))) (+.f64 13764240537310136880149/125000000000000000000 (*.f64 2157218858562374472887084159837293/312500000000000000000000000000 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (fma.f64 104109730557/25000000000 x (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x)) (+.f64 (/.f64 2157218858562374472887084159837293/312500000000000000000000000000 (*.f64 x x)) 13764240537310136880149/125000000000000000000))
(+.f64 (fma.f64 x 104109730557/25000000000 (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x)) (+.f64 -13764240537310136880149/125000000000000000000 (/.f64 -2157218858562374472887084159837293/312500000000000000000000000000 (*.f64 x x))))
(+.f64 (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x) (-.f64 (fma.f64 x 104109730557/25000000000 -13764240537310136880149/125000000000000000000) (/.f64 2157218858562374472887084159837293/312500000000000000000000000000 (*.f64 x x))))
(fma.f64 x 104109730557/25000000000 (+.f64 (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x) (+.f64 -13764240537310136880149/125000000000000000000 (/.f64 -2157218858562374472887084159837293/312500000000000000000000000000 (*.f64 x x)))))
(+.f64 (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x) (+.f64 (fma.f64 x 104109730557/25000000000 -13764240537310136880149/125000000000000000000) (/.f64 -2157218858562374472887084159837293/312500000000000000000000000000 (*.f64 x x))))
(+.f64 (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x) (+.f64 -13764240537310136880149/125000000000000000000 (fma.f64 x 104109730557/25000000000 (/.f64 (/.f64 -2157218858562374472887084159837293/312500000000000000000000000000 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 (+.f64 (.f64 104109730557/25000000000 x) (.f64 2284450290879775841688574159837293/625000000000000000000000000000 (/.f64 1 x))) (+.f64 13764240537310136880149/125000000000000000000 (*.f64 2157218858562374472887084159837293/312500000000000000000000000000 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (fma.f64 104109730557/25000000000 x (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x)) (+.f64 (/.f64 2157218858562374472887084159837293/312500000000000000000000000000 (*.f64 x x)) 13764240537310136880149/125000000000000000000))
(+.f64 (fma.f64 x 104109730557/25000000000 (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x)) (+.f64 -13764240537310136880149/125000000000000000000 (/.f64 -2157218858562374472887084159837293/312500000000000000000000000000 (*.f64 x x))))
(+.f64 (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x) (-.f64 (fma.f64 x 104109730557/25000000000 -13764240537310136880149/125000000000000000000) (/.f64 2157218858562374472887084159837293/312500000000000000000000000000 (*.f64 x x))))
(fma.f64 x 104109730557/25000000000 (+.f64 (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x) (+.f64 -13764240537310136880149/125000000000000000000 (/.f64 -2157218858562374472887084159837293/312500000000000000000000000000 (*.f64 x x)))))
(+.f64 (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x) (+.f64 (fma.f64 x 104109730557/25000000000 -13764240537310136880149/125000000000000000000) (/.f64 -2157218858562374472887084159837293/312500000000000000000000000000 (*.f64 x x))))
(+.f64 (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x) (+.f64 -13764240537310136880149/125000000000000000000 (fma.f64 x 104109730557/25000000000 (/.f64 (/.f64 -2157218858562374472887084159837293/312500000000000000000000000000 x) x))))
(/.f64 -12723143231740136880149/125000000000000000000 x)
(-.f64 104109730557/25000000000 (*.f64 12723143231740136880149/125000000000000000000 (/.f64 1 x)))
(-.f64 104109730557/25000000000 (/.f64 12723143231740136880149/125000000000000000000 x))
(+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x))
(-.f64 104109730557/25000000000 (*.f64 12723143231740136880149/125000000000000000000 (/.f64 1 x)))
(-.f64 104109730557/25000000000 (/.f64 12723143231740136880149/125000000000000000000 x))
(+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x))
(-.f64 104109730557/25000000000 (*.f64 12723143231740136880149/125000000000000000000 (/.f64 1 x)))
(-.f64 104109730557/25000000000 (/.f64 12723143231740136880149/125000000000000000000 x))
(+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x))
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 104109730557/25000000000 (*.f64 12723143231740136880149/125000000000000000000 (/.f64 1 x)))
(-.f64 104109730557/25000000000 (/.f64 12723143231740136880149/125000000000000000000 x))
(+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x))
(-.f64 104109730557/25000000000 (*.f64 12723143231740136880149/125000000000000000000 (/.f64 1 x)))
(-.f64 104109730557/25000000000 (/.f64 12723143231740136880149/125000000000000000000 x))
(+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x))
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 104109730557/25000000000 (*.f64 12723143231740136880149/125000000000000000000 (/.f64 1 x)))
(-.f64 104109730557/25000000000 (/.f64 12723143231740136880149/125000000000000000000 x))
(+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x))
(-.f64 104109730557/25000000000 (*.f64 12723143231740136880149/125000000000000000000 (/.f64 1 x)))
(-.f64 104109730557/25000000000 (/.f64 12723143231740136880149/125000000000000000000 x))
(+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x))

localize226.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(.f64 (+.f64 4297481763/31250000 (.f64 (+.f64 393497462077/5000000000 (*.f64 104109730557/25000000000 x)) x)) x)
✓	0.4b	(.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)
✓	0.6b	(*.f64 104109730557/25000000000 x)
✓	25.5b	(/.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))

Compiler

Compiled 186 to 133 computations (28.5% saved)

series17.0ms (0.1%)

Counts

4 → 48

Calls

15 calls:

Time	Variable		Point	Expression
3.0ms	y	@	0	(/.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))
3.0ms	x	@	0	(/.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))
2.0ms	y	@	inf	(/.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))
2.0ms	y	@	-inf	(/.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))
1.0ms	x	@	-inf	(/.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))

rewrite218.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

337×	`add-sqr-sqrt_binary64`
319×	`*-un-lft-identity_binary64`
319×	`pow1_binary64`
318×	`add-exp-log_binary64`
318×	`add-log-exp_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	81
1	663	67

Stop Event

1×	node limit

Counts

4 → 76

Calls

Call 1

Inputs
(/.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 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)
(.f64 (+.f64 4297481763/31250000 (.f64 (+.f64 393497462077/5000000000 (*.f64 104109730557/25000000000 x)) x)) x)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 104109730557/25000000000 x 393497462077/5000000000) 4297481763/31250000) y) (/.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)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x (fma.f64 x (fma.f64 104109730557/25000000000 x 393497462077/5000000000) 4297481763/31250000) 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 (.f64 (fma.f64 x (fma.f64 x (fma.f64 104109730557/25000000000 x 393497462077/5000000000) 4297481763/31250000) 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 1 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 104109730557/25000000000 x 393497462077/5000000000) 4297481763/31250000) y) (/.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 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 104109730557/25000000000 x 393497462077/5000000000) 4297481763/31250000) y) (/.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))))) 2) (cbrt.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 104109730557/25000000000 x 393497462077/5000000000) 4297481763/31250000) y) (/.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 (sqrt.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 104109730557/25000000000 x 393497462077/5000000000) 4297481763/31250000) y) (/.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))))) (sqrt.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 104109730557/25000000000 x 393497462077/5000000000) 4297481763/31250000) y) (/.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 (neg.f64 (.f64 (fma.f64 x (fma.f64 x (fma.f64 104109730557/25000000000 x 393497462077/5000000000) 4297481763/31250000) y) (.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 (fma.f64 x (fma.f64 x (fma.f64 104109730557/25000000000 x 393497462077/5000000000) 4297481763/31250000) 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 (fma.f64 x (fma.f64 x (fma.f64 104109730557/25000000000 x 393497462077/5000000000) 4297481763/31250000) 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 (pow.f64 (cbrt.f64 (.f64 (fma.f64 x (fma.f64 x (fma.f64 104109730557/25000000000 x 393497462077/5000000000) 4297481763/31250000) y) (.f64 x (+.f64 x -2)))) 2) 1) (/.f64 (cbrt.f64 (.f64 (fma.f64 x (fma.f64 x (fma.f64 104109730557/25000000000 x 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4297481763/31250000) y) (/.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)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 104109730557/25000000000 x 393497462077/5000000000) 4297481763/31250000) y) (/.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 log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 104109730557/25000000000 x 393497462077/5000000000) 4297481763/31250000) y) (/.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 cbrt.f64 (pow.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 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((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 104109730557/25000000000 x 393497462077/5000000000) 4297481763/31250000) y) (/.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 exp.f64 (log.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 104109730557/25000000000 x 393497462077/5000000000) 4297481763/31250000) y) (/.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 exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 104109730557/25000000000 x 393497462077/5000000000) 4297481763/31250000) y) (/.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))))) 1))))))
((#(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 (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 (.f64 1128428295162862690821234941118693/15625000000000000000000000000000 (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (.f64 x x) 10838835996651139530249/625000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) 104109730557/25000000000))))) (#(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 (.f64 1128428295162862690821234941118693/15625000000000000000000000000000 (pow.f64 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 -.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 104109730557/25000000000 x 393497462077/5000000000) 4297481763/31250000)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (fma.f64 x (fma.f64 104109730557/25000000000 x 393497462077/5000000000) 4297481763/31250000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x (fma.f64 x (fma.f64 104109730557/25000000000 x 393497462077/5000000000) 4297481763/31250000))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 x (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 x (fma.f64 x (fma.f64 104109730557/25000000000 x 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 104109730557/25000000000 x 393497462077/5000000000) 4297481763/31250000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 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 x (fma.f64 x (fma.f64 104109730557/25000000000 x 393497462077/5000000000) 4297481763/31250000)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 x (fma.f64 x (fma.f64 104109730557/25000000000 x 393497462077/5000000000) 4297481763/31250000)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x (fma.f64 x (fma.f64 104109730557/25000000000 x 393497462077/5000000000) 4297481763/31250000))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 x (fma.f64 x (fma.f64 104109730557/25000000000 x 393497462077/5000000000) 4297481763/31250000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 x (fma.f64 x (fma.f64 104109730557/25000000000 x 393497462077/5000000000) 4297481763/31250000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (*.f64 x (fma.f64 x (fma.f64 104109730557/25000000000 x 393497462077/5000000000) 4297481763/31250000))) 1))))))

simplify110.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

397×	`associate--r+_binary64`
366×	`+-commutative_binary64`
364×	`cancel-sign-sub-inv_binary64`
353×	`fma-neg_binary64`
351×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	107	1442
1	276	1300
2	799	1187
3	3517	1098

Stop Event

1×	node limit

Counts

124 → 119

Calls

Call 1

Inputs
(.f64 -1000000000/23533438303 (.f64 y x))
(+.f64 (.f64 -1000000000/23533438303 (.f64 y x)) (.f64 (-.f64 (.f64 500000000/23533438303 (-.f64 y 4297481763/15625000)) (*.f64 -156699607947000000000/553822718361107519809 y)) (pow.f64 x 2)))
(+.f64 (.f64 -1000000000/23533438303 (.f64 y x)) (+.f64 (.f64 -1 (.f64 (pow.f64 x 3) (+.f64 49698921037/117667191515 (+.f64 (.f64 156699607947/23533438303 (-.f64 (.f64 500000000/23533438303 (-.f64 y 4297481763/15625000)) (.f64 -156699607947000000000/553822718361107519809 y))) (.f64 -131752537360500000000/553822718361107519809 y))))) (.f64 (-.f64 (.f64 500000000/23533438303 (-.f64 y 4297481763/15625000)) (*.f64 -156699607947000000000/553822718361107519809 y)) (pow.f64 x 2))))
(+.f64 (.f64 -1000000000/23533438303 (.f64 y x)) (+.f64 (.f64 (-.f64 1759267849271/1176671915150 (+.f64 (.f64 -21670001125700000000/553822718361107519809 y) (+.f64 (.f64 -156699607947/23533438303 (+.f64 49698921037/117667191515 (+.f64 (.f64 156699607947/23533438303 (-.f64 (.f64 500000000/23533438303 (-.f64 y 4297481763/15625000)) (.f64 -156699607947000000000/553822718361107519809 y))) (.f64 -131752537360500000000/553822718361107519809 y)))) (.f64 263505074721/47066876606 (-.f64 (.f64 500000000/23533438303 (-.f64 y 4297481763/15625000)) (.f64 -156699607947000000000/553822718361107519809 y)))))) (pow.f64 x 4)) (+.f64 (.f64 -1 (.f64 (pow.f64 x 3) (+.f64 49698921037/117667191515 (+.f64 (.f64 156699607947/23533438303 (-.f64 (.f64 500000000/23533438303 (-.f64 y 4297481763/15625000)) (.f64 -156699607947000000000/553822718361107519809 y))) (.f64 -131752537360500000000/553822718361107519809 y))))) (.f64 (-.f64 (.f64 500000000/23533438303 (-.f64 y 4297481763/15625000)) (*.f64 -156699607947000000000/553822718361107519809 y)) (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 409304707811198655637810418659684985388407301/3125000000000000000000000000000000000000 (/.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 409304707811198655637810418659684985388407301/3125000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 2)))))
(/.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 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 (+.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 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 (+.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 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 (+.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 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 (.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 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 (.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 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 (.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 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 (.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 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 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 (.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 23533438303/500000000 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 (.f64 (+.f64 216700011257/5000000000 x) x) 263505074721/1000000000) x)) 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 (.f64 y x))
(+.f64 (.f64 -1000000000/23533438303 (.f64 y x)) (.f64 (-.f64 (.f64 500000000/23533438303 (-.f64 y 4297481763/15625000)) (*.f64 -156699607947000000000/553822718361107519809 y)) (pow.f64 x 2)))
(fma.f64 -1000000000/23533438303 (.f64 y x) (.f64 (+.f64 (.f64 500000000/23533438303 (-.f64 y 4297481763/15625000)) (.f64 156699607947000000000/553822718361107519809 y)) (*.f64 x x)))
(fma.f64 (fma.f64 500000000/23533438303 (+.f64 y -4297481763/15625000) (.f64 y 156699607947000000000/553822718361107519809)) (.f64 x x) (.f64 -1000000000/23533438303 (.f64 y x)))
(.f64 x (+.f64 (.f64 -1000000000/23533438303 y) (*.f64 x (fma.f64 y 156699607947000000000/553822718361107519809 (fma.f64 y 500000000/23533438303 -137519416416/23533438303)))))
(.f64 x (+.f64 (.f64 -1000000000/23533438303 y) (.f64 x (+.f64 -137519416416/23533438303 (.f64 y 168466327098500000000/553822718361107519809)))))
(+.f64 (.f64 -1000000000/23533438303 (.f64 y x)) (+.f64 (.f64 -1 (.f64 (pow.f64 x 3) (+.f64 49698921037/117667191515 (+.f64 (.f64 156699607947/23533438303 (-.f64 (.f64 500000000/23533438303 (-.f64 y 4297481763/15625000)) (.f64 -156699607947000000000/553822718361107519809 y))) (.f64 -131752537360500000000/553822718361107519809 y))))) (.f64 (-.f64 (.f64 500000000/23533438303 (-.f64 y 4297481763/15625000)) (*.f64 -156699607947000000000/553822718361107519809 y)) (pow.f64 x 2))))
(fma.f64 -1000000000/23533438303 (.f64 y x) (fma.f64 -1 (.f64 (pow.f64 x 3) (+.f64 49698921037/117667191515 (fma.f64 156699607947/23533438303 (+.f64 (.f64 500000000/23533438303 (-.f64 y 4297481763/15625000)) (.f64 156699607947000000000/553822718361107519809 y)) (.f64 y -131752537360500000000/553822718361107519809)))) (.f64 (+.f64 (.f64 500000000/23533438303 (-.f64 y 4297481763/15625000)) (.f64 156699607947000000000/553822718361107519809 y)) (*.f64 x x))))
(fma.f64 -1000000000/23533438303 (.f64 y x) (-.f64 (.f64 x (.f64 x (fma.f64 500000000/23533438303 (+.f64 y -4297481763/15625000) (.f64 y 156699607947000000000/553822718361107519809)))) (.f64 (pow.f64 x 3) (+.f64 49698921037/117667191515 (fma.f64 (fma.f64 500000000/23533438303 (+.f64 y -4297481763/15625000) (.f64 y 156699607947000000000/553822718361107519809)) 156699607947/23533438303 (*.f64 y -131752537360500000000/553822718361107519809))))))
(fma.f64 -1000000000/23533438303 (.f64 y x) (.f64 (.f64 x x) (-.f64 (fma.f64 y 156699607947000000000/553822718361107519809 (fma.f64 y 500000000/23533438303 -137519416416/23533438303)) (.f64 x (fma.f64 y -131752537360500000000/553822718361107519809 (fma.f64 (fma.f64 y 156699607947000000000/553822718361107519809 (fma.f64 y 500000000/23533438303 -137519416416/23533438303)) 156699607947/23533438303 49698921037/117667191515))))))
(.f64 x (+.f64 (.f64 x (+.f64 (.f64 y 168466327098500000000/553822718361107519809) (-.f64 -137519416416/23533438303 (.f64 x (fma.f64 (+.f64 -137519416416/23533438303 (.f64 y 168466327098500000000/553822718361107519809)) 156699607947/23533438303 (fma.f64 y -131752537360500000000/553822718361107519809 49698921037/117667191515)))))) (.f64 -1000000000/23533438303 y)))
(+.f64 (.f64 -1000000000/23533438303 (.f64 y x)) (+.f64 (.f64 (-.f64 1759267849271/1176671915150 (+.f64 (.f64 -21670001125700000000/553822718361107519809 y) (+.f64 (.f64 -156699607947/23533438303 (+.f64 49698921037/117667191515 (+.f64 (.f64 156699607947/23533438303 (-.f64 (.f64 500000000/23533438303 (-.f64 y 4297481763/15625000)) (.f64 -156699607947000000000/553822718361107519809 y))) (.f64 -131752537360500000000/553822718361107519809 y)))) (.f64 263505074721/47066876606 (-.f64 (.f64 500000000/23533438303 (-.f64 y 4297481763/15625000)) (.f64 -156699607947000000000/553822718361107519809 y)))))) (pow.f64 x 4)) (+.f64 (.f64 -1 (.f64 (pow.f64 x 3) (+.f64 49698921037/117667191515 (+.f64 (.f64 156699607947/23533438303 (-.f64 (.f64 500000000/23533438303 (-.f64 y 4297481763/15625000)) (.f64 -156699607947000000000/553822718361107519809 y))) (.f64 -131752537360500000000/553822718361107519809 y))))) (.f64 (-.f64 (.f64 500000000/23533438303 (-.f64 y 4297481763/15625000)) (*.f64 -156699607947000000000/553822718361107519809 y)) (pow.f64 x 2)))))
(fma.f64 -1000000000/23533438303 (.f64 y x) (fma.f64 (-.f64 1759267849271/1176671915150 (fma.f64 -21670001125700000000/553822718361107519809 y (fma.f64 -156699607947/23533438303 (+.f64 49698921037/117667191515 (fma.f64 156699607947/23533438303 (+.f64 (.f64 500000000/23533438303 (-.f64 y 4297481763/15625000)) (.f64 156699607947000000000/553822718361107519809 y)) (.f64 y -131752537360500000000/553822718361107519809))) (.f64 (+.f64 (.f64 500000000/23533438303 (-.f64 y 4297481763/15625000)) (.f64 156699607947000000000/553822718361107519809 y)) 263505074721/47066876606)))) (pow.f64 x 4) (fma.f64 -1 (.f64 (pow.f64 x 3) (+.f64 49698921037/117667191515 (fma.f64 156699607947/23533438303 (+.f64 (.f64 500000000/23533438303 (-.f64 y 4297481763/15625000)) (.f64 156699607947000000000/553822718361107519809 y)) (.f64 y -131752537360500000000/553822718361107519809)))) (.f64 (+.f64 (.f64 500000000/23533438303 (-.f64 y 4297481763/15625000)) (.f64 156699607947000000000/553822718361107519809 y)) (*.f64 x x)))))
(fma.f64 -1000000000/23533438303 (.f64 y x) (fma.f64 (-.f64 1759267849271/1176671915150 (fma.f64 y -21670001125700000000/553822718361107519809 (fma.f64 (+.f64 49698921037/117667191515 (fma.f64 (fma.f64 500000000/23533438303 (+.f64 y -4297481763/15625000) (.f64 y 156699607947000000000/553822718361107519809)) 156699607947/23533438303 (.f64 y -131752537360500000000/553822718361107519809))) -156699607947/23533438303 (.f64 (fma.f64 500000000/23533438303 (+.f64 y -4297481763/15625000) (.f64 y 156699607947000000000/553822718361107519809)) 263505074721/47066876606)))) (pow.f64 x 4) (-.f64 (.f64 x (.f64 x (fma.f64 500000000/23533438303 (+.f64 y -4297481763/15625000) (.f64 y 156699607947000000000/553822718361107519809)))) (.f64 (pow.f64 x 3) (+.f64 49698921037/117667191515 (fma.f64 (fma.f64 500000000/23533438303 (+.f64 y -4297481763/15625000) (.f64 y 156699607947000000000/553822718361107519809)) 156699607947/23533438303 (*.f64 y -131752537360500000000/553822718361107519809)))))))
(fma.f64 -1000000000/23533438303 (.f64 y x) (fma.f64 (-.f64 1759267849271/1176671915150 (fma.f64 (fma.f64 y -131752537360500000000/553822718361107519809 (fma.f64 (fma.f64 y 156699607947000000000/553822718361107519809 (fma.f64 y 500000000/23533438303 -137519416416/23533438303)) 156699607947/23533438303 49698921037/117667191515)) -156699607947/23533438303 (fma.f64 y -21670001125700000000/553822718361107519809 (fma.f64 (fma.f64 y 500000000/23533438303 -137519416416/23533438303) 263505074721/47066876606 (.f64 y 20645570950412820203893500000000/13033352773350869092174451844127))))) (pow.f64 x 4) (.f64 (.f64 x x) (-.f64 (fma.f64 y 156699607947000000000/553822718361107519809 (fma.f64 y 500000000/23533438303 -137519416416/23533438303)) (*.f64 x (fma.f64 y -131752537360500000000/553822718361107519809 (fma.f64 (fma.f64 y 156699607947000000000/553822718361107519809 (fma.f64 y 500000000/23533438303 -137519416416/23533438303)) 156699607947/23533438303 49698921037/117667191515)))))))
(fma.f64 (+.f64 (.f64 y 21670001125700000000/553822718361107519809) (-.f64 119279635808138688837503/27691135918055375990450 (+.f64 (.f64 y 20645570950412820203893500000000/13033352773350869092174451844127) (.f64 (+.f64 -137519416416/23533438303 (.f64 y 168466327098500000000/553822718361107519809)) -42908353843012952671155/1107645436722215039618)))) (pow.f64 x 4) (.f64 x (+.f64 (.f64 x (+.f64 (.f64 y 168466327098500000000/553822718361107519809) (-.f64 -137519416416/23533438303 (.f64 x (fma.f64 (+.f64 -137519416416/23533438303 (.f64 y 168466327098500000000/553822718361107519809)) 156699607947/23533438303 (fma.f64 y -131752537360500000000/553822718361107519809 49698921037/117667191515)))))) (.f64 -1000000000/23533438303 y))))
(*.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 (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x)) -13764240537310136880149/125000000000000000000)
(+.f64 (fma.f64 x 104109730557/25000000000 -13764240537310136880149/125000000000000000000) (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x))
(-.f64 (+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (.f64 104109730557/25000000000 x) (.f64 2284450290879775841688574159837293/625000000000000000000000000000 (/.f64 1 x)))) (+.f64 13764240537310136880149/125000000000000000000 (*.f64 409304707811198655637810418659684985388407301/3125000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (fma.f64 104109730557/25000000000 x (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x)) (/.f64 y (.f64 x x))) (+.f64 13764240537310136880149/125000000000000000000 (/.f64 409304707811198655637810418659684985388407301/3125000000000000000000000000000000000000 (.f64 x x))))
(+.f64 (fma.f64 x 104109730557/25000000000 (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x)) (-.f64 (/.f64 y (.f64 x x)) (+.f64 13764240537310136880149/125000000000000000000 (/.f64 409304707811198655637810418659684985388407301/3125000000000000000000000000000000000000 (.f64 x x)))))
(+.f64 (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x) (+.f64 (-.f64 (fma.f64 x 104109730557/25000000000 -13764240537310136880149/125000000000000000000) (/.f64 409304707811198655637810418659684985388407301/3125000000000000000000000000000000000000 (.f64 x x))) (/.f64 y (.f64 x x))))
(+.f64 (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x) (+.f64 (/.f64 y (.f64 x 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 (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x)) -13764240537310136880149/125000000000000000000)
(+.f64 (fma.f64 x 104109730557/25000000000 -13764240537310136880149/125000000000000000000) (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x))
(-.f64 (+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (.f64 104109730557/25000000000 x) (.f64 2284450290879775841688574159837293/625000000000000000000000000000 (/.f64 1 x)))) (+.f64 13764240537310136880149/125000000000000000000 (*.f64 409304707811198655637810418659684985388407301/3125000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (fma.f64 104109730557/25000000000 x (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x)) (/.f64 y (.f64 x x))) (+.f64 13764240537310136880149/125000000000000000000 (/.f64 409304707811198655637810418659684985388407301/3125000000000000000000000000000000000000 (.f64 x x))))
(+.f64 (fma.f64 x 104109730557/25000000000 (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x)) (-.f64 (/.f64 y (.f64 x x)) (+.f64 13764240537310136880149/125000000000000000000 (/.f64 409304707811198655637810418659684985388407301/3125000000000000000000000000000000000000 (.f64 x x)))))
(+.f64 (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x) (+.f64 (-.f64 (fma.f64 x 104109730557/25000000000 -13764240537310136880149/125000000000000000000) (/.f64 409304707811198655637810418659684985388407301/3125000000000000000000000000000000000000 (.f64 x x))) (/.f64 y (.f64 x x))))
(+.f64 (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x) (+.f64 (/.f64 y (.f64 x 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 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 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000)))
(.f64 (/.f64 (.f64 (*.f64 x x) (+.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 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000))
(.f64 (.f64 (*.f64 x 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 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 (+.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 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 y (/.f64 (+.f64 23533438303/500000000 (.f64 x (+.f64 156699607947/500000000 (.f64 x (fma.f64 (+.f64 x 216700011257/5000000000) x 263505074721/1000000000))))) (.f64 x (+.f64 x -2)))))
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(+.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 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 (.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 y (/.f64 (+.f64 23533438303/500000000 (.f64 x (+.f64 156699607947/500000000 (.f64 x (fma.f64 (+.f64 x 216700011257/5000000000) x 263505074721/1000000000))))) (.f64 x (+.f64 x -2)))))
(+.f64 (/.f64 (.f64 (.f64 x x) (+.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 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000))) (/.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)))
(fma.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 (.f64 (.f64 x x) (+.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 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000)))
(.f64 (.f64 x (+.f64 x -2)) (+.f64 (*.f64 (/.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)) x) (/.f64 y (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 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 (.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 y (/.f64 (+.f64 23533438303/500000000 (.f64 x (+.f64 156699607947/500000000 (.f64 x (fma.f64 (+.f64 x 216700011257/5000000000) x 263505074721/1000000000))))) (.f64 x (+.f64 x -2)))))
(+.f64 (/.f64 (.f64 (.f64 x x) (+.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 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000))) (/.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)))
(fma.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 (.f64 (.f64 x x) (+.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 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000)))
(.f64 (.f64 x (+.f64 x -2)) (+.f64 (*.f64 (/.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)) x) (/.f64 y (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))))
(*.f64 263505074721/1000000000 x)
(*.f64 x 263505074721/1000000000)
(+.f64 (.f64 216700011257/5000000000 (pow.f64 x 2)) (.f64 263505074721/1000000000 x))
(fma.f64 216700011257/5000000000 (.f64 x x) (.f64 x 263505074721/1000000000))
(fma.f64 x 263505074721/1000000000 (.f64 x (.f64 x 216700011257/5000000000)))
(.f64 x (+.f64 263505074721/1000000000 (.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))
(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 x (.f64 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))
(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 x (.f64 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))

localize233.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(*.f64 -1000000000/23533438303 z)
✓	0.7b	(*.f64 500000000/23533438303 (-.f64 y 4297481763/15625000))
✓	5.1b	(.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))
✓	6.4b	(+.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))))

Compiler

Compiled 229 to 172 computations (24.9% saved)

series78.0ms (0.3%)

Counts

4 → 66

Calls

24 calls:

Time	Variable		Point	Expression
32.0ms	z	@	-inf	(+.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))))
16.0ms	y	@	0	(+.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))))
3.0ms	y	@	inf	(+.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))))
3.0ms	z	@	0	(+.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))))
3.0ms	x	@	0	(.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))

rewrite149.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

350×	`add-sqr-sqrt_binary64`
332×	`pow1_binary64`
331×	`*-un-lft-identity_binary64`
330×	`add-log-exp_binary64`
330×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	104
1	689	98

Stop Event

1×	node limit

Counts

4 → 70

Calls

Call 1

Inputs
(+.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 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 500000000/23533438303 (-.f64 y 4297481763/15625000))
(*.f64 -1000000000/23533438303 z)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (fma.f64 500000000/23533438303 (fma.f64 -2 y z) (.f64 156699607947000000000/553822718361107519809 z)) x (fma.f64 (-.f64 (.f64 500000000/23533438303 (+.f64 y -4297481763/15625000)) (fma.f64 z -131752537360500000000/553822718361107519809 (.f64 (fma.f64 500000000/23533438303 (fma.f64 -2 y z) (.f64 156699607947000000000/553822718361107519809 z)) 156699607947/23533438303))) (.f64 x x) (.f64 z -1000000000/23533438303))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (.f64 (fma.f64 500000000/23533438303 (fma.f64 -2 y z) (.f64 156699607947000000000/553822718361107519809 z)) x) 2) (-.f64 (.f64 (fma.f64 500000000/23533438303 (fma.f64 -2 y z) (.f64 156699607947000000000/553822718361107519809 z)) x) (fma.f64 (-.f64 (.f64 500000000/23533438303 (+.f64 y -4297481763/15625000)) (fma.f64 z -131752537360500000000/553822718361107519809 (.f64 (fma.f64 500000000/23533438303 (fma.f64 -2 y z) (.f64 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simplify147.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

543×	`fma-neg_binary64`
520×	`cancel-sign-sub-inv_binary64`
463×	`fma-def_binary64`
450×	`distribute-rgt-in_binary64`
412×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	100	1855
1	292	1606
2	839	1332
3	3552	1244

Stop Event

1×	node limit

Counts

136 → 111

Calls

Call 1

Inputs
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(+.f64 (.f64 (-.f64 (.f64 500000000/23533438303 z) (.f64 -156699607947000000000/553822718361107519809 z)) x) (+.f64 (.f64 -1 (.f64 (+.f64 137519416416/23533438303 (+.f64 (.f64 156699607947/23533438303 (-.f64 (.f64 500000000/23533438303 z) (.f64 -156699607947000000000/553822718361107519809 z))) (.f64 -131752537360500000000/553822718361107519809 z))) (pow.f64 x 2))) (+.f64 (.f64 -1000000000/23533438303 z) (.f64 (+.f64 (.f64 -1000000000/23533438303 x) (*.f64 168466327098500000000/553822718361107519809 (pow.f64 x 2))) y))))
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(*.f64 -1000000000/23533438303 z)
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-137519416416/23533438303
(-.f64 (*.f64 500000000/23533438303 y) 137519416416/23533438303)
(-.f64 (*.f64 500000000/23533438303 y) 137519416416/23533438303)
(-.f64 (*.f64 500000000/23533438303 y) 137519416416/23533438303)
(*.f64 500000000/23533438303 y)
(-.f64 (*.f64 500000000/23533438303 y) 137519416416/23533438303)
(-.f64 (*.f64 500000000/23533438303 y) 137519416416/23533438303)
(-.f64 (*.f64 500000000/23533438303 y) 137519416416/23533438303)
(*.f64 500000000/23533438303 y)
(-.f64 (*.f64 500000000/23533438303 y) 137519416416/23533438303)
(-.f64 (*.f64 500000000/23533438303 y) 137519416416/23533438303)
(-.f64 (*.f64 500000000/23533438303 y) 137519416416/23533438303)

Outputs
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(fma.f64 (.f64 z 168466327098500000000/553822718361107519809) x (fma.f64 -1 (.f64 (.f64 x x) (+.f64 137519416416/23533438303 (fma.f64 156699607947/23533438303 (.f64 z 168466327098500000000/553822718361107519809) (.f64 z -131752537360500000000/553822718361107519809)))) (.f64 z -1000000000/23533438303)))
(fma.f64 (.f64 z 168466327098500000000/553822718361107519809) x (-.f64 (.f64 z -1000000000/23533438303) (.f64 x (.f64 x (+.f64 137519416416/23533438303 (fma.f64 z -131752537360500000000/553822718361107519809 (*.f64 z 26398607408606012051779500000000/13033352773350869092174451844127)))))))
(fma.f64 (.f64 x x) (fma.f64 -1 (.f64 z 23298017199368982832548000000000/13033352773350869092174451844127) -137519416416/23533438303) (*.f64 z (fma.f64 x 168466327098500000000/553822718361107519809 -1000000000/23533438303)))
(fma.f64 z (fma.f64 x 168466327098500000000/553822718361107519809 -1000000000/23533438303) (.f64 (.f64 x x) (-.f64 -137519416416/23533438303 (*.f64 z 23298017199368982832548000000000/13033352773350869092174451844127))))
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(fma.f64 (.f64 z 168466327098500000000/553822718361107519809) x (fma.f64 -1 (.f64 (.f64 x x) (+.f64 137519416416/23533438303 (fma.f64 156699607947/23533438303 (.f64 z 168466327098500000000/553822718361107519809) (.f64 z -131752537360500000000/553822718361107519809)))) (fma.f64 -1000000000/23533438303 z (.f64 (fma.f64 -1000000000/23533438303 x (.f64 (.f64 x x) 168466327098500000000/553822718361107519809)) y))))
(fma.f64 (.f64 z 168466327098500000000/553822718361107519809) x (fma.f64 (neg.f64 (.f64 x x)) (+.f64 137519416416/23533438303 (fma.f64 z -131752537360500000000/553822718361107519809 (.f64 z 26398607408606012051779500000000/13033352773350869092174451844127))) (fma.f64 z -1000000000/23533438303 (.f64 (fma.f64 x -1000000000/23533438303 (.f64 (.f64 x x) 168466327098500000000/553822718361107519809)) y))))
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(fma.f64 (.f64 x x) (-.f64 -137519416416/23533438303 (.f64 z 23298017199368982832548000000000/13033352773350869092174451844127)) (fma.f64 z (fma.f64 x 168466327098500000000/553822718361107519809 -1000000000/23533438303) (.f64 y (.f64 x (fma.f64 x 168466327098500000000/553822718361107519809 -1000000000/23533438303)))))
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(fma.f64 (.f64 z 168466327098500000000/553822718361107519809) x (fma.f64 -1 (.f64 (.f64 x x) (+.f64 137519416416/23533438303 (fma.f64 156699607947/23533438303 (.f64 z 168466327098500000000/553822718361107519809) (.f64 z -131752537360500000000/553822718361107519809)))) (fma.f64 -1000000000/23533438303 z (.f64 (fma.f64 -1000000000/23533438303 x (.f64 (.f64 x x) 168466327098500000000/553822718361107519809)) y))))
(fma.f64 (.f64 z 168466327098500000000/553822718361107519809) x (fma.f64 (neg.f64 (.f64 x x)) (+.f64 137519416416/23533438303 (fma.f64 z -131752537360500000000/553822718361107519809 (.f64 z 26398607408606012051779500000000/13033352773350869092174451844127))) (fma.f64 z -1000000000/23533438303 (.f64 (fma.f64 x -1000000000/23533438303 (.f64 (.f64 x x) 168466327098500000000/553822718361107519809)) y))))
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(fma.f64 (.f64 x x) (-.f64 -137519416416/23533438303 (.f64 z 23298017199368982832548000000000/13033352773350869092174451844127)) (fma.f64 z (fma.f64 x 168466327098500000000/553822718361107519809 -1000000000/23533438303) (.f64 y (.f64 x (fma.f64 x 168466327098500000000/553822718361107519809 -1000000000/23533438303)))))
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(fma.f64 (.f64 z 168466327098500000000/553822718361107519809) x (fma.f64 -1 (.f64 (.f64 x x) (+.f64 137519416416/23533438303 (fma.f64 156699607947/23533438303 (.f64 z 168466327098500000000/553822718361107519809) (.f64 z -131752537360500000000/553822718361107519809)))) (fma.f64 -1000000000/23533438303 z (.f64 (fma.f64 -1000000000/23533438303 x (.f64 (.f64 x x) 168466327098500000000/553822718361107519809)) y))))
(fma.f64 (.f64 z 168466327098500000000/553822718361107519809) x (fma.f64 (neg.f64 (.f64 x x)) (+.f64 137519416416/23533438303 (fma.f64 z -131752537360500000000/553822718361107519809 (.f64 z 26398607408606012051779500000000/13033352773350869092174451844127))) (fma.f64 z -1000000000/23533438303 (.f64 (fma.f64 x -1000000000/23533438303 (.f64 (.f64 x x) 168466327098500000000/553822718361107519809)) y))))
(+.f64 (fma.f64 y (.f64 x (fma.f64 x 168466327098500000000/553822718361107519809 -1000000000/23533438303)) (.f64 x (.f64 x (fma.f64 -1 (.f64 z 23298017199368982832548000000000/13033352773350869092174451844127) -137519416416/23533438303)))) (*.f64 z (fma.f64 x 168466327098500000000/553822718361107519809 -1000000000/23533438303)))
(fma.f64 (.f64 x x) (-.f64 -137519416416/23533438303 (.f64 z 23298017199368982832548000000000/13033352773350869092174451844127)) (fma.f64 z (fma.f64 x 168466327098500000000/553822718361107519809 -1000000000/23533438303) (.f64 y (.f64 x (fma.f64 x 168466327098500000000/553822718361107519809 -1000000000/23533438303)))))
(.f64 (+.f64 (.f64 -1000000000/23533438303 x) (*.f64 168466327098500000000/553822718361107519809 (pow.f64 x 2))) y)
(.f64 (fma.f64 -1000000000/23533438303 x (.f64 (*.f64 x x) 168466327098500000000/553822718361107519809)) y)
(.f64 (fma.f64 x -1000000000/23533438303 (.f64 (*.f64 x x) 168466327098500000000/553822718361107519809)) y)
(.f64 y (.f64 x (fma.f64 x 168466327098500000000/553822718361107519809 -1000000000/23533438303)))
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(fma.f64 (.f64 z 168466327098500000000/553822718361107519809) x (fma.f64 -1 (.f64 (.f64 x x) (+.f64 137519416416/23533438303 (fma.f64 156699607947/23533438303 (.f64 z 168466327098500000000/553822718361107519809) (.f64 z -131752537360500000000/553822718361107519809)))) (fma.f64 -1000000000/23533438303 z (.f64 (fma.f64 -1000000000/23533438303 x (.f64 (.f64 x x) 168466327098500000000/553822718361107519809)) y))))
(fma.f64 (.f64 z 168466327098500000000/553822718361107519809) x (fma.f64 (neg.f64 (.f64 x x)) (+.f64 137519416416/23533438303 (fma.f64 z -131752537360500000000/553822718361107519809 (.f64 z 26398607408606012051779500000000/13033352773350869092174451844127))) (fma.f64 z -1000000000/23533438303 (.f64 (fma.f64 x -1000000000/23533438303 (.f64 (.f64 x x) 168466327098500000000/553822718361107519809)) y))))
(+.f64 (fma.f64 y (.f64 x (fma.f64 x 168466327098500000000/553822718361107519809 -1000000000/23533438303)) (.f64 x (.f64 x (fma.f64 -1 (.f64 z 23298017199368982832548000000000/13033352773350869092174451844127) -137519416416/23533438303)))) (*.f64 z (fma.f64 x 168466327098500000000/553822718361107519809 -1000000000/23533438303)))
(fma.f64 (.f64 x x) (-.f64 -137519416416/23533438303 (.f64 z 23298017199368982832548000000000/13033352773350869092174451844127)) (fma.f64 z (fma.f64 x 168466327098500000000/553822718361107519809 -1000000000/23533438303) (.f64 y (.f64 x (fma.f64 x 168466327098500000000/553822718361107519809 -1000000000/23533438303)))))
(+.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 (.f64 -1000000000/23533438303 z) (.f64 (+.f64 (.f64 -1000000000/23533438303 x) (*.f64 168466327098500000000/553822718361107519809 (pow.f64 x 2))) y))))
(fma.f64 (.f64 z 168466327098500000000/553822718361107519809) x (fma.f64 -1 (.f64 (.f64 x x) (+.f64 137519416416/23533438303 (fma.f64 156699607947/23533438303 (.f64 z 168466327098500000000/553822718361107519809) (.f64 z -131752537360500000000/553822718361107519809)))) (fma.f64 -1000000000/23533438303 z (.f64 (fma.f64 -1000000000/23533438303 x (.f64 (.f64 x x) 168466327098500000000/553822718361107519809)) y))))
(fma.f64 (.f64 z 168466327098500000000/553822718361107519809) x (fma.f64 (neg.f64 (.f64 x x)) (+.f64 137519416416/23533438303 (fma.f64 z -131752537360500000000/553822718361107519809 (.f64 z 26398607408606012051779500000000/13033352773350869092174451844127))) (fma.f64 z -1000000000/23533438303 (.f64 (fma.f64 x -1000000000/23533438303 (.f64 (.f64 x x) 168466327098500000000/553822718361107519809)) y))))
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(fma.f64 (.f64 x x) (-.f64 -137519416416/23533438303 (.f64 z 23298017199368982832548000000000/13033352773350869092174451844127)) (fma.f64 z (fma.f64 x 168466327098500000000/553822718361107519809 -1000000000/23533438303) (.f64 y (.f64 x (fma.f64 x 168466327098500000000/553822718361107519809 -1000000000/23533438303)))))
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(fma.f64 (.f64 z 168466327098500000000/553822718361107519809) x (fma.f64 -1 (.f64 (.f64 x x) (+.f64 137519416416/23533438303 (fma.f64 156699607947/23533438303 (.f64 z 168466327098500000000/553822718361107519809) (.f64 z -131752537360500000000/553822718361107519809)))) (fma.f64 -1000000000/23533438303 z (.f64 (fma.f64 -1000000000/23533438303 x (.f64 (.f64 x x) 168466327098500000000/553822718361107519809)) y))))
(fma.f64 (.f64 z 168466327098500000000/553822718361107519809) x (fma.f64 (neg.f64 (.f64 x x)) (+.f64 137519416416/23533438303 (fma.f64 z -131752537360500000000/553822718361107519809 (.f64 z 26398607408606012051779500000000/13033352773350869092174451844127))) (fma.f64 z -1000000000/23533438303 (.f64 (fma.f64 x -1000000000/23533438303 (.f64 (.f64 x x) 168466327098500000000/553822718361107519809)) y))))
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(fma.f64 (.f64 x x) (-.f64 -137519416416/23533438303 (.f64 z 23298017199368982832548000000000/13033352773350869092174451844127)) (fma.f64 z (fma.f64 x 168466327098500000000/553822718361107519809 -1000000000/23533438303) (.f64 y (.f64 x (fma.f64 x 168466327098500000000/553822718361107519809 -1000000000/23533438303)))))
(.f64 -1 (.f64 (+.f64 (.f64 1000000000/23533438303 x) (.f64 -168466327098500000000/553822718361107519809 (pow.f64 x 2))) y))
(.f64 (fma.f64 -1000000000/23533438303 x (.f64 (*.f64 x x) 168466327098500000000/553822718361107519809)) y)
(.f64 (fma.f64 x -1000000000/23533438303 (.f64 (*.f64 x x) 168466327098500000000/553822718361107519809)) y)
(.f64 y (.f64 x (fma.f64 x 168466327098500000000/553822718361107519809 -1000000000/23533438303)))
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(fma.f64 (.f64 z 168466327098500000000/553822718361107519809) x (fma.f64 -1 (.f64 (.f64 x x) (+.f64 137519416416/23533438303 (fma.f64 156699607947/23533438303 (.f64 z 168466327098500000000/553822718361107519809) (.f64 z -131752537360500000000/553822718361107519809)))) (fma.f64 -1000000000/23533438303 z (.f64 (fma.f64 -1000000000/23533438303 x (.f64 (.f64 x x) 168466327098500000000/553822718361107519809)) y))))
(fma.f64 (.f64 z 168466327098500000000/553822718361107519809) x (fma.f64 (neg.f64 (.f64 x x)) (+.f64 137519416416/23533438303 (fma.f64 z -131752537360500000000/553822718361107519809 (.f64 z 26398607408606012051779500000000/13033352773350869092174451844127))) (fma.f64 z -1000000000/23533438303 (.f64 (fma.f64 x -1000000000/23533438303 (.f64 (.f64 x x) 168466327098500000000/553822718361107519809)) y))))
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(fma.f64 (.f64 x x) (-.f64 -137519416416/23533438303 (.f64 z 23298017199368982832548000000000/13033352773350869092174451844127)) (fma.f64 z (fma.f64 x 168466327098500000000/553822718361107519809 -1000000000/23533438303) (.f64 y (.f64 x (fma.f64 x 168466327098500000000/553822718361107519809 -1000000000/23533438303)))))
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(fma.f64 (.f64 z 168466327098500000000/553822718361107519809) x (fma.f64 -1 (.f64 (.f64 x x) (+.f64 137519416416/23533438303 (fma.f64 156699607947/23533438303 (.f64 z 168466327098500000000/553822718361107519809) (.f64 z -131752537360500000000/553822718361107519809)))) (fma.f64 -1000000000/23533438303 z (.f64 (fma.f64 -1000000000/23533438303 x (.f64 (.f64 x x) 168466327098500000000/553822718361107519809)) y))))
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(+.f64 (.f64 -23298017199368982832548000000000/13033352773350869092174451844127 (.f64 z (pow.f64 x 2))) (.f64 (-.f64 (.f64 500000000/23533438303 (-.f64 y 4297481763/15625000)) (*.f64 -156699607947000000000/553822718361107519809 y)) (pow.f64 x 2)))
(fma.f64 168466327098500000000/553822718361107519809 (.f64 (.f64 x x) y) (neg.f64 (.f64 (.f64 x x) (+.f64 137519416416/23533438303 (fma.f64 156699607947/23533438303 (.f64 z 168466327098500000000/553822718361107519809) (.f64 z -131752537360500000000/553822718361107519809))))))
(.f64 (.f64 x x) (+.f64 (neg.f64 (+.f64 137519416416/23533438303 (fma.f64 z -131752537360500000000/553822718361107519809 (.f64 z 26398607408606012051779500000000/13033352773350869092174451844127)))) (.f64 168466327098500000000/553822718361107519809 y)))
(.f64 x (.f64 x (fma.f64 168466327098500000000/553822718361107519809 y (fma.f64 -1 (*.f64 z 23298017199368982832548000000000/13033352773350869092174451844127) -137519416416/23533438303))))
(.f64 (.f64 x x) (fma.f64 z -23298017199368982832548000000000/13033352773350869092174451844127 (+.f64 -137519416416/23533438303 (*.f64 168466327098500000000/553822718361107519809 y))))
-137519416416/23533438303
(-.f64 (*.f64 500000000/23533438303 y) 137519416416/23533438303)
(fma.f64 500000000/23533438303 y -137519416416/23533438303)
(-.f64 (*.f64 500000000/23533438303 y) 137519416416/23533438303)
(fma.f64 500000000/23533438303 y -137519416416/23533438303)
(-.f64 (*.f64 500000000/23533438303 y) 137519416416/23533438303)
(fma.f64 500000000/23533438303 y -137519416416/23533438303)
(*.f64 500000000/23533438303 y)
(-.f64 (*.f64 500000000/23533438303 y) 137519416416/23533438303)
(fma.f64 500000000/23533438303 y -137519416416/23533438303)
(-.f64 (*.f64 500000000/23533438303 y) 137519416416/23533438303)
(fma.f64 500000000/23533438303 y -137519416416/23533438303)
(-.f64 (*.f64 500000000/23533438303 y) 137519416416/23533438303)
(fma.f64 500000000/23533438303 y -137519416416/23533438303)
(*.f64 500000000/23533438303 y)
(-.f64 (*.f64 500000000/23533438303 y) 137519416416/23533438303)
(fma.f64 500000000/23533438303 y -137519416416/23533438303)
(-.f64 (*.f64 500000000/23533438303 y) 137519416416/23533438303)
(fma.f64 500000000/23533438303 y -137519416416/23533438303)
(-.f64 (*.f64 500000000/23533438303 y) 137519416416/23533438303)
(fma.f64 500000000/23533438303 y -137519416416/23533438303)

eval2.2s (9.2%)

Compiler: Compiled 21117 to 15286 computations (27.6% saved)

prune336.0ms (1.4%)

Pruning

42 alts after pruning (39 fresh and 3 done)

	Pruned	Kept	Total
New	570	25	595
Fresh	16	14	30
Picked	1	0	1
Done	2	3	5
Total	589	42	631

Error

Counts

631 → 42

Alt Table

Click to see full alt table

Status	Error	Program
	35.8b	(fma.f64 (pow.f64 (cbrt.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x))) 2) (.f64 (cbrt.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x))) (+.f64 x -2)) (/.f64 (.f64 (+.f64 x -2) (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 x)) x))
	52.2b	(/.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) 104109730557/25000000000) 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))
✓	49.4b	(/.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))
✓	35.2b	(*.f64 x 104109730557/25000000000)
	47.4b	(pow.f64 (cbrt.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 104109730557/25000000000 x 393497462077/5000000000) 4297481763/31250000) y) (/.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))))) 3)
▶	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 216700011257/5000000000 (pow.f64 x 2)) (pow.f64 x 3)) 156699607947/500000000) x) 23533438303/500000000))
	53.9b	(.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)))
✓	26.4b	(/.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))
	55.3b	(cbrt.f64 (*.f64 1128428295162862690821234941118693/15625000000000000000000000000000 (pow.f64 x 3)))
	35.0b	(*.f64 (+.f64 x -2) 104109730557/25000000000)
	27.6b	(/.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 (pow.f64 x 3) 156699607947/500000000) x) 23533438303/500000000))
▶	24.7b	(.f64 (+.f64 x -2) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (/.f64 (+.f64 (pow.f64 (.f64 x 104109730557/25000000000) 3) 60929246449480706651316240921050533/125000000000000000000000000000) (+.f64 (.f64 (.f64 x 104109730557/25000000000) (.f64 x 104109730557/25000000000)) (-.f64 154840252661040053153929/25000000000000000000 (.f64 x 40966914751699795586889/125000000000000000000)))) 4297481763/31250000) y) z) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))
	56.3b	(cbrt.f64 (pow.f64 (*.f64 (+.f64 x -2) (+.f64 104109730557/25000000000 (fma.f64 2157218858562374472887084159837293/625000000000000000000000000000 (pow.f64 x -2) (/.f64 -12723143231740136880149/125000000000000000000 x)))) 3))
	31.0b	(*.f64 (+.f64 x -2) (/.f64 (fma.f64 x y z) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))
	56.3b	(/.f64 (+.f64 (pow.f64 (.f64 (+.f64 x -2) (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x))) 3) (pow.f64 (/.f64 (.f64 (+.f64 x -2) (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 x)) x) 3)) (fma.f64 (.f64 (+.f64 x -2) (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x))) (.f64 (+.f64 x -2) (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x))) (-.f64 (.f64 (/.f64 (.f64 (+.f64 x -2) (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 x)) x) (/.f64 (.f64 (+.f64 x -2) (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 x)) x)) (.f64 (.f64 (+.f64 x -2) (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x))) (/.f64 (.f64 (+.f64 x -2) (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 x)) x)))))
▶	31.4b	(+.f64 (.f64 (-.f64 (.f64 500000000/23533438303 (+.f64 (.f64 -2 y) z)) (.f64 -156699607947000000000/553822718361107519809 z)) x) (+.f64 (.f64 -1000000000/23533438303 z) (.f64 (.f64 x x) (-.f64 -137519416416/23533438303 (.f64 z 23298017199368982832548000000000/13033352773350869092174451844127)))))
	51.7b	(/.f64 (.f64 (+.f64 (.f64 x 4297481763/31250000) 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))
	52.2b	(.f64 x (+.f64 (.f64 -1000000000/23533438303 y) (.f64 x (+.f64 -137519416416/23533438303 (.f64 y 168466327098500000000/553822718361107519809)))))
	54.6b	(.f64 y (.f64 x (fma.f64 x 168466327098500000000/553822718361107519809 -1000000000/23533438303)))
	30.9b	(/.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 x 263505074721/1000000000) 156699607947/500000000) x) 23533438303/500000000))
	41.8b	(.f64 (+.f64 x -2) (.f64 500000000/23533438303 z))
	54.3b	(.f64 -1000000000/23533438303 (.f64 y x))
	34.1b	(.f64 (+.f64 x -2) (+.f64 (.f64 500000000/23533438303 z) (.f64 (-.f64 (.f64 500000000/23533438303 y) (*.f64 78349803973500000000/553822718361107519809 z)) x)))
	57.8b	(/.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)))
	26.4b	(+.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)))
▶	42.0b	(.f64 z (fma.f64 x (+.f64 168466327098500000000/553822718361107519809 (.f64 x -23298017199368982832548000000000/13033352773350869092174451844127)) -1000000000/23533438303))
	49.4b	(/.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 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000))) x) 23533438303/500000000))
	49.1b	(fma.f64 (.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (sqrt.f64 (+.f64 x -2))) (sqrt.f64 (+.f64 x -2)) (/.f64 (.f64 (+.f64 x -2) (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 x)) x))
	39.8b	(.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)))
	48.5b	(pow.f64 (sqrt.f64 (*.f64 x 104109730557/25000000000)) 2)
	26.4b	(/.f64 (.f64 (-.f64 x 2) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (pow.f64 (cbrt.f64 (.f64 x 104109730557/25000000000)) 3) 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))
	36.0b	(fma.f64 (.f64 (+.f64 x -2) (sqrt.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)))) (sqrt.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x))) (/.f64 (.f64 (+.f64 x -2) (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 x)) x))
	24.7b	(.f64 (+.f64 x -2) (+.f64 (/.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 z (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000))))
	52.0b	(/.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 x (+.f64 263505074721/1000000000 (.f64 x 216700011257/5000000000)))) x) 23533438303/500000000))
	36.0b	(.f64 (+.f64 x -2) (+.f64 (/.f64 (-.f64 (/.f64 161878373695374854434910217844194695190262201/15625000000000000000000000000000000000000 (.f64 x x)) 10838835996651139530249/625000000000000000000) (-.f64 (/.f64 -12723143231740136880149/125000000000000000000 x) 104109730557/25000000000)) (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (*.f64 x x))))
	36.1b	(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x -2)) 2) (.f64 (cbrt.f64 (+.f64 x -2)) (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x))) (/.f64 (.f64 (+.f64 x -2) (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 x)) x))
	53.6b	(.f64 (/.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)) y)
▶	41.6b	(*.f64 z -1000000000/23533438303)
	28.9b	(/.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))
	52.1b	(/.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 x 263505074721/1000000000)) x) 23533438303/500000000))
	35.0b	(+.f64 (fma.f64 x 104109730557/25000000000 -13764240537310136880149/125000000000000000000) (-.f64 (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x) (/.f64 (-.f64 409304707811198655637810418659684985388407301/3125000000000000000000000000000000000000 y) (*.f64 x x))))
	35.4b	(pow.f64 (cbrt.f64 (*.f64 x 104109730557/25000000000)) 3)

Compiler

Compiled 2282 to 1714 computations (24.9% saved)

localize200.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (+.f64 x -2) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (/.f64 (+.f64 (pow.f64 (.f64 x 104109730557/25000000000) 3) 60929246449480706651316240921050533/125000000000000000000000000000) (+.f64 (.f64 (.f64 x 104109730557/25000000000) (.f64 x 104109730557/25000000000)) (-.f64 154840252661040053153929/25000000000000000000 (.f64 x 40966914751699795586889/125000000000000000000)))) 4297481763/31250000) y) z) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))
	0.6b	(*.f64 x 104109730557/25000000000)
✓	19.5b	(/.f64 (+.f64 (pow.f64 (.f64 x 104109730557/25000000000) 3) 60929246449480706651316240921050533/125000000000000000000000000000) (+.f64 (.f64 (.f64 x 104109730557/25000000000) (.f64 x 104109730557/25000000000)) (-.f64 154840252661040053153929/25000000000000000000 (*.f64 x 40966914751699795586889/125000000000000000000))))
✓	23.9b	(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (/.f64 (+.f64 (pow.f64 (.f64 x 104109730557/25000000000) 3) 60929246449480706651316240921050533/125000000000000000000000000000) (+.f64 (.f64 (.f64 x 104109730557/25000000000) (.f64 x 104109730557/25000000000)) (-.f64 154840252661040053153929/25000000000000000000 (*.f64 x 40966914751699795586889/125000000000000000000)))) 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 285 to 209 computations (26.7% saved)

series16.0ms (0.1%)

Counts

3 → 84

Calls

21 calls:

Time	Variable		Point	Expression
2.0ms	z	@	0	(.f64 (+.f64 x -2) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (/.f64 (+.f64 (pow.f64 (.f64 x 104109730557/25000000000) 3) 60929246449480706651316240921050533/125000000000000000000000000000) (+.f64 (.f64 (.f64 x 104109730557/25000000000) (.f64 x 104109730557/25000000000)) (-.f64 154840252661040053153929/25000000000000000000 (.f64 x 40966914751699795586889/125000000000000000000)))) 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	@	inf	(.f64 (+.f64 x -2) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (/.f64 (+.f64 (pow.f64 (.f64 x 104109730557/25000000000) 3) 60929246449480706651316240921050533/125000000000000000000000000000) (+.f64 (.f64 (.f64 x 104109730557/25000000000) (.f64 x 104109730557/25000000000)) (-.f64 154840252661040053153929/25000000000000000000 (.f64 x 40966914751699795586889/125000000000000000000)))) 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	y	@	0	(.f64 (+.f64 x -2) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (/.f64 (+.f64 (pow.f64 (.f64 x 104109730557/25000000000) 3) 60929246449480706651316240921050533/125000000000000000000000000000) (+.f64 (.f64 (.f64 x 104109730557/25000000000) (.f64 x 104109730557/25000000000)) (-.f64 154840252661040053153929/25000000000000000000 (.f64 x 40966914751699795586889/125000000000000000000)))) 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	@	-inf	(.f64 (+.f64 x -2) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (/.f64 (+.f64 (pow.f64 (.f64 x 104109730557/25000000000) 3) 60929246449480706651316240921050533/125000000000000000000000000000) (+.f64 (.f64 (.f64 x 104109730557/25000000000) (.f64 x 104109730557/25000000000)) (-.f64 154840252661040053153929/25000000000000000000 (.f64 x 40966914751699795586889/125000000000000000000)))) 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	y	@	inf	(.f64 (+.f64 x -2) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (/.f64 (+.f64 (pow.f64 (.f64 x 104109730557/25000000000) 3) 60929246449480706651316240921050533/125000000000000000000000000000) (+.f64 (.f64 (.f64 x 104109730557/25000000000) (.f64 x 104109730557/25000000000)) (-.f64 154840252661040053153929/25000000000000000000 (.f64 x 40966914751699795586889/125000000000000000000)))) 4297481763/31250000) y) z) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))

rewrite117.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

371×	`add-sqr-sqrt_binary64`
353×	`add-log-exp_binary64`
353×	`log1p-expm1-u_binary64`
353×	`expm1-log1p-u_binary64`
352×	`add-cube-cbrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	150
1	758	138

Stop Event

1×	node limit

Counts

3 → 81

Calls

Call 1

Inputs

(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (/.f64 (+.f64 (pow.f64 (*.f64 x 104109730557/25000000000) 3) 60929246449480706651316240921050533/125000000000000000000000000000) (+.f64 (*.f64 (*.f64 x 104109730557/25000000000) (*.f64 x 104109730557/25000000000)) (-.f64 154840252661040053153929/25000000000000000000 (*.f64 x 40966914751699795586889/125000000000000000000)))) 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 (pow.f64 (*.f64 x 104109730557/25000000000) 3) 60929246449480706651316240921050533/125000000000000000000000000000) (+.f64 (*.f64 (*.f64 x 104109730557/25000000000) (*.f64 x 104109730557/25000000000)) (-.f64 154840252661040053153929/25000000000000000000 (*.f64 x 40966914751699795586889/125000000000000000000))))

(*.f64 (+.f64 x -2) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (/.f64 (+.f64 (pow.f64 (*.f64 x 104109730557/25000000000) 3) 60929246449480706651316240921050533/125000000000000000000000000000) (+.f64 (*.f64 (*.f64 x 104109730557/25000000000) (*.f64 x 104109730557/25000000000)) (-.f64 154840252661040053153929/25000000000000000000 (*.f64 x 40966914751699795586889/125000000000000000000)))) 4297481763/31250000) y) z) (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 (exp.f64 (log1p.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (pow.f64 x 3) 1128428295162862690821234941118693/15625000000000000000000000000000 60929246449480706651316240921050533/125000000000000000000000000000) (-.f64 (fma.f64 (*.f64 x x) 10838835996651139530249/625000000000000000000 154840252661040053153929/25000000000000000000) (*.f64 x 40966914751699795586889/125000000000000000000))) 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 (/.f64 (fma.f64 (pow.f64 x 3) 1128428295162862690821234941118693/15625000000000000000000000000000 60929246449480706651316240921050533/125000000000000000000000000000) (-.f64 (fma.f64 (*.f64 x x) 10838835996651139530249/625000000000000000000 154840252661040053153929/25000000000000000000) (*.f64 x 40966914751699795586889/125000000000000000000))) 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 (fma.f64 x (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (pow.f64 x 3) 1128428295162862690821234941118693/15625000000000000000000000000000 60929246449480706651316240921050533/125000000000000000000000000000) (-.f64 (fma.f64 (*.f64 x x) 10838835996651139530249/625000000000000000000 154840252661040053153929/25000000000000000000) (*.f64 x 40966914751699795586889/125000000000000000000))) 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 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (pow.f64 x 3) 1128428295162862690821234941118693/15625000000000000000000000000000 60929246449480706651316240921050533/125000000000000000000000000000) (-.f64 (fma.f64 (*.f64 x x) 10838835996651139530249/625000000000000000000 154840252661040053153929/25000000000000000000) (*.f64 x 40966914751699795586889/125000000000000000000))) 4297481763/31250000) y) z) (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 (/.f64 (fma.f64 (pow.f64 x 3) 1128428295162862690821234941118693/15625000000000000000000000000000 60929246449480706651316240921050533/125000000000000000000000000000) (-.f64 (fma.f64 (*.f64 x x) 10838835996651139530249/625000000000000000000 154840252661040053153929/25000000000000000000) (*.f64 x 40966914751699795586889/125000000000000000000))) 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 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (pow.f64 x 3) 1128428295162862690821234941118693/15625000000000000000000000000000 60929246449480706651316240921050533/125000000000000000000000000000) (-.f64 (fma.f64 (*.f64 x x) 10838835996651139530249/625000000000000000000 154840252661040053153929/25000000000000000000) (*.f64 x 40966914751699795586889/125000000000000000000))) 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 (/.f64 (fma.f64 (pow.f64 x 3) 1128428295162862690821234941118693/15625000000000000000000000000000 60929246449480706651316240921050533/125000000000000000000000000000) (-.f64 (fma.f64 (*.f64 x x) 10838835996651139530249/625000000000000000000 154840252661040053153929/25000000000000000000) (*.f64 x 40966914751699795586889/125000000000000000000))) 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 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (pow.f64 x 3) 1128428295162862690821234941118693/15625000000000000000000000000000 60929246449480706651316240921050533/125000000000000000000000000000) (-.f64 (fma.f64 (*.f64 x x) 10838835996651139530249/625000000000000000000 154840252661040053153929/25000000000000000000) (*.f64 x 40966914751699795586889/125000000000000000000))) 4297481763/31250000) y) z)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (pow.f64 x 3) 1128428295162862690821234941118693/15625000000000000000000000000000 60929246449480706651316240921050533/125000000000000000000000000000) (-.f64 (fma.f64 (*.f64 x x) 10838835996651139530249/625000000000000000000 154840252661040053153929/25000000000000000000) (*.f64 x 40966914751699795586889/125000000000000000000))) 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 (/.f64 (fma.f64 (pow.f64 x 3) 1128428295162862690821234941118693/15625000000000000000000000000000 60929246449480706651316240921050533/125000000000000000000000000000) (-.f64 (fma.f64 (*.f64 x x) 10838835996651139530249/625000000000000000000 154840252661040053153929/25000000000000000000) (*.f64 x 40966914751699795586889/125000000000000000000))) 4297481763/31250000) y) z)) 1) (/.f64 (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (pow.f64 x 3) 1128428295162862690821234941118693/15625000000000000000000000000000 60929246449480706651316240921050533/125000000000000000000000000000) (-.f64 (fma.f64 (*.f64 x x) 10838835996651139530249/625000000000000000000 154840252661040053153929/25000000000000000000) (*.f64 x 40966914751699795586889/125000000000000000000))) 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 (/.f64 (fma.f64 (pow.f64 x 3) 1128428295162862690821234941118693/15625000000000000000000000000000 60929246449480706651316240921050533/125000000000000000000000000000) (-.f64 (fma.f64 (*.f64 x x) 10838835996651139530249/625000000000000000000 154840252661040053153929/25000000000000000000) (*.f64 x 40966914751699795586889/125000000000000000000))) 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 (/.f64 (fma.f64 (pow.f64 x 3) 1128428295162862690821234941118693/15625000000000000000000000000000 60929246449480706651316240921050533/125000000000000000000000000000) (-.f64 (fma.f64 (*.f64 x x) 10838835996651139530249/625000000000000000000 154840252661040053153929/25000000000000000000) (*.f64 x 40966914751699795586889/125000000000000000000))) 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 (/.f64 (fma.f64 (pow.f64 x 3) 1128428295162862690821234941118693/15625000000000000000000000000000 60929246449480706651316240921050533/125000000000000000000000000000) (-.f64 (fma.f64 (*.f64 x x) 10838835996651139530249/625000000000000000000 154840252661040053153929/25000000000000000000) (*.f64 x 40966914751699795586889/125000000000000000000))) 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 (/.f64 (fma.f64 (pow.f64 x 3) 1128428295162862690821234941118693/15625000000000000000000000000000 60929246449480706651316240921050533/125000000000000000000000000000) (-.f64 (fma.f64 (*.f64 x x) 10838835996651139530249/625000000000000000000 154840252661040053153929/25000000000000000000) (*.f64 x 40966914751699795586889/125000000000000000000))) 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 (/.f64 (fma.f64 (pow.f64 x 3) 1128428295162862690821234941118693/15625000000000000000000000000000 60929246449480706651316240921050533/125000000000000000000000000000) (-.f64 (fma.f64 (*.f64 x x) 10838835996651139530249/625000000000000000000 154840252661040053153929/25000000000000000000) (*.f64 x 40966914751699795586889/125000000000000000000))) 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 (/.f64 (fma.f64 (pow.f64 x 3) 1128428295162862690821234941118693/15625000000000000000000000000000 60929246449480706651316240921050533/125000000000000000000000000000) (-.f64 (fma.f64 (*.f64 x x) 10838835996651139530249/625000000000000000000 154840252661040053153929/25000000000000000000) (*.f64 x 40966914751699795586889/125000000000000000000))) 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 (/.f64 (fma.f64 (pow.f64 x 3) 1128428295162862690821234941118693/15625000000000000000000000000000 60929246449480706651316240921050533/125000000000000000000000000000) (-.f64 (fma.f64 (*.f64 x x) 10838835996651139530249/625000000000000000000 154840252661040053153929/25000000000000000000) (*.f64 x 40966914751699795586889/125000000000000000000))) 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 (/.f64 (fma.f64 (pow.f64 x 3) 1128428295162862690821234941118693/15625000000000000000000000000000 60929246449480706651316240921050533/125000000000000000000000000000) (-.f64 (fma.f64 (*.f64 x x) 10838835996651139530249/625000000000000000000 154840252661040053153929/25000000000000000000) (*.f64 x 40966914751699795586889/125000000000000000000))) 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 (/.f64 (fma.f64 (pow.f64 x 3) 1128428295162862690821234941118693/15625000000000000000000000000000 60929246449480706651316240921050533/125000000000000000000000000000) (-.f64 (fma.f64 (*.f64 x x) 10838835996651139530249/625000000000000000000 154840252661040053153929/25000000000000000000) (*.f64 x 40966914751699795586889/125000000000000000000))) 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 (/.f64 (fma.f64 (pow.f64 x 3) 1128428295162862690821234941118693/15625000000000000000000000000000 60929246449480706651316240921050533/125000000000000000000000000000) (-.f64 (fma.f64 (*.f64 x x) 10838835996651139530249/625000000000000000000 154840252661040053153929/25000000000000000000) (*.f64 x 40966914751699795586889/125000000000000000000))) 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 (/.f64 (fma.f64 (pow.f64 x 3) 1128428295162862690821234941118693/15625000000000000000000000000000 60929246449480706651316240921050533/125000000000000000000000000000) (-.f64 (fma.f64 (*.f64 x x) 10838835996651139530249/625000000000000000000 154840252661040053153929/25000000000000000000) (*.f64 x 40966914751699795586889/125000000000000000000))) 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 (/.f64 (fma.f64 (pow.f64 x 3) 1128428295162862690821234941118693/15625000000000000000000000000000 60929246449480706651316240921050533/125000000000000000000000000000) (-.f64 (fma.f64 (*.f64 x x) 10838835996651139530249/625000000000000000000 154840252661040053153929/25000000000000000000) (*.f64 x 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1128428295162862690821234941118693/15625000000000000000000000000000 60929246449480706651316240921050533/125000000000000000000000000000) (-.f64 (fma.f64 (*.f64 x x) 10838835996651139530249/625000000000000000000 154840252661040053153929/25000000000000000000) (*.f64 x 40966914751699795586889/125000000000000000000))) 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 (+.f64 x -2) (fma.f64 x (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (pow.f64 x 3) 1128428295162862690821234941118693/15625000000000000000000000000000 60929246449480706651316240921050533/125000000000000000000000000000) (-.f64 (fma.f64 (*.f64 x x) 10838835996651139530249/625000000000000000000 154840252661040053153929/25000000000000000000) (*.f64 x 40966914751699795586889/125000000000000000000))) 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 (*.f64 (+.f64 x -2) (fma.f64 x (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (pow.f64 x 3) 1128428295162862690821234941118693/15625000000000000000000000000000 60929246449480706651316240921050533/125000000000000000000000000000) (-.f64 (fma.f64 (*.f64 x x) 10838835996651139530249/625000000000000000000 154840252661040053153929/25000000000000000000) (*.f64 x 40966914751699795586889/125000000000000000000))) 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 exp.f64 (log.f64 (/.f64 (*.f64 (+.f64 x -2) (fma.f64 x (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (pow.f64 x 3) 1128428295162862690821234941118693/15625000000000000000000000000000 60929246449480706651316240921050533/125000000000000000000000000000) (-.f64 (fma.f64 (*.f64 x x) 10838835996651139530249/625000000000000000000 154840252661040053153929/25000000000000000000) (*.f64 x 40966914751699795586889/125000000000000000000))) 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 exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (+.f64 x -2) (fma.f64 x (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (pow.f64 x 3) 1128428295162862690821234941118693/15625000000000000000000000000000 60929246449480706651316240921050533/125000000000000000000000000000) (-.f64 (fma.f64 (*.f64 x x) 10838835996651139530249/625000000000000000000 154840252661040053153929/25000000000000000000) (*.f64 x 40966914751699795586889/125000000000000000000))) 4297481763/31250000) y) z)) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))) 1))))))

simplify174.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

539×	`fma-def_binary64`
497×	`cancel-sign-sub-inv_binary64`
292×	`sub-neg_binary64`
276×	`associate-+l+_binary64`
276×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	181	4944
1	469	4342
2	1340	4056
3	5444	3743

Stop Event

1×	node limit

Counts

165 → 145

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 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 (/.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 (.f64 -1 (/.f64 (+.f64 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 (.f64 -1 y)) (pow.f64 x 3))) (+.f64 104109730557/25000000000 (.f64 2157218858562374472887084159837293/625000000000000000000000000000 (/.f64 1 (pow.f64 x 2))))) (.f64 12723143231740136880149/125000000000000000000 (/.f64 1 x)))
(/.f64 (+.f64 z (.f64 (+.f64 4297481763/31250000 (/.f64 (.f64 (+.f64 (.f64 1128428295162862690821234941118693/15625000000000000000000000000000 (pow.f64 x 3)) 60929246449480706651316240921050533/125000000000000000000000000000) x) (-.f64 (+.f64 154840252661040053153929/25000000000000000000 (.f64 10838835996651139530249/625000000000000000000 (pow.f64 x 2))) (.f64 40966914751699795586889/125000000000000000000 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 (/.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 (+.f64 (.f64 1128428295162862690821234941118693/15625000000000000000000000000000 (pow.f64 x 3)) 60929246449480706651316240921050533/125000000000000000000000000000) x) (-.f64 (+.f64 154840252661040053153929/25000000000000000000 (.f64 10838835996651139530249/625000000000000000000 (pow.f64 x 2))) (.f64 40966914751699795586889/125000000000000000000 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 (+.f64 (.f64 1128428295162862690821234941118693/15625000000000000000000000000000 (pow.f64 x 3)) 60929246449480706651316240921050533/125000000000000000000000000000) x) (-.f64 (+.f64 154840252661040053153929/25000000000000000000 (.f64 10838835996651139530249/625000000000000000000 (pow.f64 x 2))) (.f64 40966914751699795586889/125000000000000000000 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 (+.f64 (.f64 1128428295162862690821234941118693/15625000000000000000000000000000 (pow.f64 x 3)) 60929246449480706651316240921050533/125000000000000000000000000000) x) (-.f64 (+.f64 154840252661040053153929/25000000000000000000 (.f64 10838835996651139530249/625000000000000000000 (pow.f64 x 2))) (.f64 40966914751699795586889/125000000000000000000 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 y x) (+.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 (+.f64 (.f64 1128428295162862690821234941118693/15625000000000000000000000000000 (pow.f64 x 3)) 60929246449480706651316240921050533/125000000000000000000000000000) x) (-.f64 (+.f64 154840252661040053153929/25000000000000000000 (.f64 10838835996651139530249/625000000000000000000 (pow.f64 x 2))) (.f64 40966914751699795586889/125000000000000000000 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 (+.f64 (.f64 1128428295162862690821234941118693/15625000000000000000000000000000 (pow.f64 x 3)) 60929246449480706651316240921050533/125000000000000000000000000000) x) (-.f64 (+.f64 154840252661040053153929/25000000000000000000 (.f64 10838835996651139530249/625000000000000000000 (pow.f64 x 2))) (.f64 40966914751699795586889/125000000000000000000 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 (+.f64 (.f64 1128428295162862690821234941118693/15625000000000000000000000000000 (pow.f64 x 3)) 60929246449480706651316240921050533/125000000000000000000000000000) x) (-.f64 (+.f64 154840252661040053153929/25000000000000000000 (.f64 10838835996651139530249/625000000000000000000 (pow.f64 x 2))) (.f64 40966914751699795586889/125000000000000000000 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 y x) (+.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 (+.f64 (.f64 1128428295162862690821234941118693/15625000000000000000000000000000 (pow.f64 x 3)) 60929246449480706651316240921050533/125000000000000000000000000000) x) (-.f64 (+.f64 154840252661040053153929/25000000000000000000 (.f64 10838835996651139530249/625000000000000000000 (pow.f64 x 2))) (.f64 40966914751699795586889/125000000000000000000 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 (+.f64 (.f64 1128428295162862690821234941118693/15625000000000000000000000000000 (pow.f64 x 3)) 60929246449480706651316240921050533/125000000000000000000000000000) x) (-.f64 (+.f64 154840252661040053153929/25000000000000000000 (.f64 10838835996651139530249/625000000000000000000 (pow.f64 x 2))) (.f64 40966914751699795586889/125000000000000000000 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 (+.f64 (.f64 1128428295162862690821234941118693/15625000000000000000000000000000 (pow.f64 x 3)) 60929246449480706651316240921050533/125000000000000000000000000000) x) (-.f64 (+.f64 154840252661040053153929/25000000000000000000 (.f64 10838835996651139530249/625000000000000000000 (pow.f64 x 2))) (.f64 40966914751699795586889/125000000000000000000 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 (.f64 (+.f64 4297481763/31250000 (/.f64 (.f64 (+.f64 (.f64 1128428295162862690821234941118693/15625000000000000000000000000000 (pow.f64 x 3)) 60929246449480706651316240921050533/125000000000000000000000000000) x) (-.f64 (+.f64 154840252661040053153929/25000000000000000000 (.f64 10838835996651139530249/625000000000000000000 (pow.f64 x 2))) (.f64 40966914751699795586889/125000000000000000000 x)))) x)) 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 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) (/.f64 (.f64 (+.f64 y (.f64 (+.f64 4297481763/31250000 (/.f64 (.f64 (+.f64 (.f64 1128428295162862690821234941118693/15625000000000000000000000000000 (pow.f64 x 3)) 60929246449480706651316240921050533/125000000000000000000000000000) x) (-.f64 (+.f64 154840252661040053153929/25000000000000000000 (.f64 10838835996651139530249/625000000000000000000 (pow.f64 x 2))) (.f64 40966914751699795586889/125000000000000000000 x)))) x)) 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 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) (/.f64 (.f64 (+.f64 y (.f64 (+.f64 4297481763/31250000 (/.f64 (.f64 (+.f64 (.f64 1128428295162862690821234941118693/15625000000000000000000000000000 (pow.f64 x 3)) 60929246449480706651316240921050533/125000000000000000000000000000) x) (-.f64 (+.f64 154840252661040053153929/25000000000000000000 (.f64 10838835996651139530249/625000000000000000000 (pow.f64 x 2))) (.f64 40966914751699795586889/125000000000000000000 x)))) x)) 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 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)) (/.f64 (.f64 (+.f64 y (.f64 (+.f64 4297481763/31250000 (/.f64 (.f64 (+.f64 (.f64 1128428295162862690821234941118693/15625000000000000000000000000000 (pow.f64 x 3)) 60929246449480706651316240921050533/125000000000000000000000000000) x) (-.f64 (+.f64 154840252661040053153929/25000000000000000000 (.f64 10838835996651139530249/625000000000000000000 (pow.f64 x 2))) (.f64 40966914751699795586889/125000000000000000000 x)))) x)) x) (+.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 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 y (.f64 (+.f64 4297481763/31250000 (/.f64 (.f64 (+.f64 (.f64 1128428295162862690821234941118693/15625000000000000000000000000000 (pow.f64 x 3)) 60929246449480706651316240921050533/125000000000000000000000000000) x) (-.f64 (+.f64 154840252661040053153929/25000000000000000000 (.f64 10838835996651139530249/625000000000000000000 (pow.f64 x 2))) (.f64 40966914751699795586889/125000000000000000000 x)))) x)) (.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 y (.f64 (+.f64 4297481763/31250000 (/.f64 (.f64 (+.f64 (.f64 1128428295162862690821234941118693/15625000000000000000000000000000 (pow.f64 x 3)) 60929246449480706651316240921050533/125000000000000000000000000000) x) (-.f64 (+.f64 154840252661040053153929/25000000000000000000 (.f64 10838835996651139530249/625000000000000000000 (pow.f64 x 2))) (.f64 40966914751699795586889/125000000000000000000 x)))) x)) (.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 y (.f64 (+.f64 4297481763/31250000 (/.f64 (.f64 (+.f64 (.f64 1128428295162862690821234941118693/15625000000000000000000000000000 (pow.f64 x 3)) 60929246449480706651316240921050533/125000000000000000000000000000) x) (-.f64 (+.f64 154840252661040053153929/25000000000000000000 (.f64 10838835996651139530249/625000000000000000000 (pow.f64 x 2))) (.f64 40966914751699795586889/125000000000000000000 x)))) x)) (.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 y (.f64 (+.f64 4297481763/31250000 (/.f64 (.f64 (+.f64 (.f64 1128428295162862690821234941118693/15625000000000000000000000000000 (pow.f64 x 3)) 60929246449480706651316240921050533/125000000000000000000000000000) x) (-.f64 (+.f64 154840252661040053153929/25000000000000000000 (.f64 10838835996651139530249/625000000000000000000 (pow.f64 x 2))) (.f64 40966914751699795586889/125000000000000000000 x)))) x)) (.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 y (.f64 (+.f64 4297481763/31250000 (/.f64 (.f64 (+.f64 (.f64 1128428295162862690821234941118693/15625000000000000000000000000000 (pow.f64 x 3)) 60929246449480706651316240921050533/125000000000000000000000000000) x) (-.f64 (+.f64 154840252661040053153929/25000000000000000000 (.f64 10838835996651139530249/625000000000000000000 (pow.f64 x 2))) (.f64 40966914751699795586889/125000000000000000000 x)))) x)) (.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 y (.f64 (+.f64 4297481763/31250000 (/.f64 (.f64 (+.f64 (.f64 1128428295162862690821234941118693/15625000000000000000000000000000 (pow.f64 x 3)) 60929246449480706651316240921050533/125000000000000000000000000000) x) (-.f64 (+.f64 154840252661040053153929/25000000000000000000 (.f64 10838835996651139530249/625000000000000000000 (pow.f64 x 2))) (.f64 40966914751699795586889/125000000000000000000 x)))) x)) (.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 y (.f64 (+.f64 4297481763/31250000 (/.f64 (.f64 (+.f64 (.f64 1128428295162862690821234941118693/15625000000000000000000000000000 (pow.f64 x 3)) 60929246449480706651316240921050533/125000000000000000000000000000) x) (-.f64 (+.f64 154840252661040053153929/25000000000000000000 (.f64 10838835996651139530249/625000000000000000000 (pow.f64 x 2))) (.f64 40966914751699795586889/125000000000000000000 x)))) x)) (.f64 x (-.f64 x 2))) (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)))

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 -78349803973500000000/553822718361107519809 z)) 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 -78349803973500000000/553822718361107519809 z)) (.f64 z 65876268680250000000/553822718361107519809))) (.f64 x x) (fma.f64 500000000/23533438303 z (.f64 (+.f64 (.f64 500000000/23533438303 y) (*.f64 -78349803973500000000/553822718361107519809 z)) 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 -78349803973500000000/553822718361107519809 z)) (fma.f64 156699607947/23533438303 (-.f64 68759708208/23533438303 (fma.f64 156699607947/23533438303 (+.f64 (.f64 500000000/23533438303 y) (.f64 -78349803973500000000/553822718361107519809 z)) (.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 -78349803973500000000/553822718361107519809 z)) (.f64 z 65876268680250000000/553822718361107519809))) (.f64 x x) (fma.f64 500000000/23533438303 z (.f64 (+.f64 (.f64 500000000/23533438303 y) (*.f64 -78349803973500000000/553822718361107519809 z)) 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 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 3))) (*.f64 12723143231740136880149/125000000000000000000 (/.f64 1 x))))
(+.f64 104109730557/25000000000 (-.f64 (+.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 104109730557/25000000000 (+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (*.f64 x x)) (+.f64 (/.f64 y (pow.f64 x 3)) (+.f64 (/.f64 -12723143231740136880149/125000000000000000000 x) (/.f64 -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 (pow.f64 x 3))))))
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 (.f64 -1 (/.f64 (+.f64 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 (.f64 -1 y)) (pow.f64 x 3))) (+.f64 104109730557/25000000000 (.f64 2157218858562374472887084159837293/625000000000000000000000000000 (/.f64 1 (pow.f64 x 2))))) (.f64 12723143231740136880149/125000000000000000000 (/.f64 1 x)))
(-.f64 (fma.f64 -1 (/.f64 (+.f64 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 (neg.f64 y)) (pow.f64 x 3)) (+.f64 104109730557/25000000000 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (*.f64 x x)))) (/.f64 12723143231740136880149/125000000000000000000 x))
(+.f64 (-.f64 (+.f64 104109730557/25000000000 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (*.f64 x x))) (/.f64 (-.f64 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 y) (pow.f64 x 3))) (/.f64 -12723143231740136880149/125000000000000000000 x))
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(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 (fma.f64 x (fma.f64 (/.f64 (fma.f64 (pow.f64 x 3) 1128428295162862690821234941118693/15625000000000000000000000000000 60929246449480706651316240921050533/125000000000000000000000000000) (fma.f64 x -40966914751699795586889/125000000000000000000 (fma.f64 x (*.f64 x 10838835996651139530249/625000000000000000000) 154840252661040053153929/25000000000000000000))) x 4297481763/31250000) y) (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) (fma.f64 (/.f64 (fma.f64 x (fma.f64 (/.f64 (fma.f64 (pow.f64 x 3) 1128428295162862690821234941118693/15625000000000000000000000000000 60929246449480706651316240921050533/125000000000000000000000000000) (+.f64 154840252661040053153929/25000000000000000000 (.f64 x (fma.f64 x 10838835996651139530249/625000000000000000000 -40966914751699795586889/125000000000000000000)))) x 4297481763/31250000) y) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) x (/.f64 z (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))))

localize4.0ms (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)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite101.0ms (0.4%)

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))))))

simplify9.0ms (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)

localize136.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 500000000/23533438303 (+.f64 (.f64 -2 y) z))
	0.4b	(*.f64 -1000000000/23533438303 z)
✓	1.6b	(.f64 (.f64 x x) (-.f64 -137519416416/23533438303 (*.f64 z 23298017199368982832548000000000/13033352773350869092174451844127)))
✓	5.5b	(+.f64 (.f64 (-.f64 (.f64 500000000/23533438303 (+.f64 (.f64 -2 y) z)) (.f64 -156699607947000000000/553822718361107519809 z)) x) (+.f64 (.f64 -1000000000/23533438303 z) (.f64 (.f64 x x) (-.f64 -137519416416/23533438303 (.f64 z 23298017199368982832548000000000/13033352773350869092174451844127)))))

Compiler

Compiled 117 to 78 computations (33.3% saved)

series11.0ms (0%)

Counts

3 → 84

Calls

21 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	(+.f64 (.f64 (-.f64 (.f64 500000000/23533438303 (+.f64 (.f64 -2 y) z)) (.f64 -156699607947000000000/553822718361107519809 z)) x) (+.f64 (.f64 -1000000000/23533438303 z) (.f64 (.f64 x x) (-.f64 -137519416416/23533438303 (.f64 z 23298017199368982832548000000000/13033352773350869092174451844127)))))
1.0ms	z	@	inf	(+.f64 (.f64 (-.f64 (.f64 500000000/23533438303 (+.f64 (.f64 -2 y) z)) (.f64 -156699607947000000000/553822718361107519809 z)) x) (+.f64 (.f64 -1000000000/23533438303 z) (.f64 (.f64 x x) (-.f64 -137519416416/23533438303 (.f64 z 23298017199368982832548000000000/13033352773350869092174451844127)))))
1.0ms	z	@	0	(+.f64 (.f64 (-.f64 (.f64 500000000/23533438303 (+.f64 (.f64 -2 y) z)) (.f64 -156699607947000000000/553822718361107519809 z)) x) (+.f64 (.f64 -1000000000/23533438303 z) (.f64 (.f64 x x) (-.f64 -137519416416/23533438303 (.f64 z 23298017199368982832548000000000/13033352773350869092174451844127)))))
1.0ms	x	@	0	(.f64 (.f64 x x) (-.f64 -137519416416/23533438303 (*.f64 z 23298017199368982832548000000000/13033352773350869092174451844127)))
1.0ms	z	@	-inf	(+.f64 (.f64 (-.f64 (.f64 500000000/23533438303 (+.f64 (.f64 -2 y) z)) (.f64 -156699607947000000000/553822718361107519809 z)) x) (+.f64 (.f64 -1000000000/23533438303 z) (.f64 (.f64 x x) (-.f64 -137519416416/23533438303 (.f64 z 23298017199368982832548000000000/13033352773350869092174451844127)))))

rewrite135.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

470×	`log1p-udef_binary64`
277×	`add-sqr-sqrt_binary64`
262×	`*-un-lft-identity_binary64`
262×	`pow1_binary64`
261×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	55
1	543	53
2	7595	53

Stop Event

1×	node limit

Counts

3 → 82

Calls

Call 1

Inputs

(+.f64 (*.f64 (-.f64 (*.f64 500000000/23533438303 (+.f64 (*.f64 -2 y) z)) (*.f64 -156699607947000000000/553822718361107519809 z)) x) (+.f64 (*.f64 -1000000000/23533438303 z) (*.f64 (*.f64 x x) (-.f64 -137519416416/23533438303 (*.f64 z 23298017199368982832548000000000/13033352773350869092174451844127)))))

(*.f64 (*.f64 x x) (-.f64 -137519416416/23533438303 (*.f64 z 23298017199368982832548000000000/13033352773350869092174451844127)))

(*.f64 500000000/23533438303 (+.f64 (*.f64 -2 y) z))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (fma.f64 500000000/23533438303 (fma.f64 -2 y z) (*.f64 z 156699607947000000000/553822718361107519809)) x (fma.f64 z -1000000000/23533438303 (*.f64 x (*.f64 x (+.f64 -137519416416/23533438303 (*.f64 z -23298017199368982832548000000000/13033352773350869092174451844127)))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 500000000/23533438303 (fma.f64 -2 y z) (*.f64 z 156699607947000000000/553822718361107519809)) x) 2) (fma.f64 (fma.f64 500000000/23533438303 (fma.f64 -2 y z) (*.f64 z 156699607947000000000/553822718361107519809)) x (neg.f64 (fma.f64 z -1000000000/23533438303 (*.f64 x (*.f64 x (+.f64 -137519416416/23533438303 (*.f64 z -23298017199368982832548000000000/13033352773350869092174451844127)))))))) (/.f64 (pow.f64 (fma.f64 z -1000000000/23533438303 (*.f64 x (*.f64 x (+.f64 -137519416416/23533438303 (*.f64 z -23298017199368982832548000000000/13033352773350869092174451844127))))) 2) (fma.f64 (fma.f64 500000000/23533438303 (fma.f64 -2 y z) (*.f64 z 156699607947000000000/553822718361107519809)) x (neg.f64 (fma.f64 z -1000000000/23533438303 (*.f64 x (*.f64 x (+.f64 -137519416416/23533438303 (*.f64 z -23298017199368982832548000000000/13033352773350869092174451844127)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (fma.f64 500000000/23533438303 (fma.f64 -2 y z) (*.f64 z 156699607947000000000/553822718361107519809)) x (fma.f64 z -1000000000/23533438303 (*.f64 x (*.f64 x (+.f64 -137519416416/23533438303 (*.f64 z -23298017199368982832548000000000/13033352773350869092174451844127)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (fma.f64 500000000/23533438303 (fma.f64 -2 y z) (*.f64 z 156699607947000000000/553822718361107519809)) x (fma.f64 z -1000000000/23533438303 (*.f64 x (*.f64 x (+.f64 -137519416416/23533438303 (*.f64 z -23298017199368982832548000000000/13033352773350869092174451844127)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (fma.f64 500000000/23533438303 (fma.f64 -2 y z) (*.f64 z 156699607947000000000/553822718361107519809)) x (fma.f64 z -1000000000/23533438303 (*.f64 x (*.f64 x (+.f64 -137519416416/23533438303 (*.f64 z -23298017199368982832548000000000/13033352773350869092174451844127))))))) (pow.f64 (cbrt.f64 (fma.f64 (fma.f64 500000000/23533438303 (fma.f64 -2 y z) (*.f64 z 156699607947000000000/553822718361107519809)) x (fma.f64 z -1000000000/23533438303 (*.f64 x (*.f64 x (+.f64 -137519416416/23533438303 (*.f64 z -23298017199368982832548000000000/13033352773350869092174451844127))))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (fma.f64 500000000/23533438303 (fma.f64 -2 y z) (*.f64 z 156699607947000000000/553822718361107519809)) x (fma.f64 z -1000000000/23533438303 (*.f64 x (*.f64 x (+.f64 -137519416416/23533438303 (*.f64 z -23298017199368982832548000000000/13033352773350869092174451844127))))))) 2) (cbrt.f64 (fma.f64 (fma.f64 500000000/23533438303 (fma.f64 -2 y z) (*.f64 z 156699607947000000000/553822718361107519809)) x (fma.f64 z -1000000000/23533438303 (*.f64 x (*.f64 x (+.f64 -137519416416/23533438303 (*.f64 z -23298017199368982832548000000000/13033352773350869092174451844127))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (fma.f64 500000000/23533438303 (fma.f64 -2 y z) (*.f64 z 156699607947000000000/553822718361107519809)) x (fma.f64 z -1000000000/23533438303 (*.f64 x (*.f64 x (+.f64 -137519416416/23533438303 (*.f64 z -23298017199368982832548000000000/13033352773350869092174451844127))))))) (sqrt.f64 (fma.f64 (fma.f64 500000000/23533438303 (fma.f64 -2 y z) (*.f64 z 156699607947000000000/553822718361107519809)) x (fma.f64 z -1000000000/23533438303 (*.f64 x (*.f64 x (+.f64 -137519416416/23533438303 (*.f64 z 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y -1000000000/23533438303) (*.f64 500000000/23533438303 z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 500000000/23533438303 z) (*.f64 y -1000000000/23533438303))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 y -1000000000/23533438303) 1) (*.f64 (*.f64 500000000/23533438303 z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 500000000/23533438303 (fma.f64 -2 y z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y -1000000000/23533438303) 3) (pow.f64 (*.f64 500000000/23533438303 z) 3)) (+.f64 (*.f64 (*.f64 y -1000000000/23533438303) (*.f64 y -1000000000/23533438303)) (-.f64 (*.f64 (*.f64 500000000/23533438303 z) (*.f64 500000000/23533438303 z)) (*.f64 (*.f64 y -1000000000/23533438303) (*.f64 500000000/23533438303 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 y -1000000000/23533438303) (*.f64 y -1000000000/23533438303)) (*.f64 (*.f64 500000000/23533438303 z) (*.f64 500000000/23533438303 z))) (-.f64 (*.f64 y -1000000000/23533438303) (*.f64 500000000/23533438303 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 -8 (pow.f64 y 3)) (pow.f64 z 3)) 500000000/23533438303) (+.f64 (*.f64 4 (*.f64 y y)) (*.f64 z (-.f64 z (*.f64 -2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 4 (*.f64 y y)) (*.f64 z z)) 500000000/23533438303) (-.f64 (*.f64 -2 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 500000000/23533438303 (+.f64 (*.f64 -8 (pow.f64 y 3)) (pow.f64 z 3))) (+.f64 (*.f64 4 (*.f64 y y)) (*.f64 z (-.f64 z (*.f64 -2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 500000000/23533438303 (-.f64 (*.f64 4 (*.f64 y y)) (*.f64 z z))) (-.f64 (*.f64 -2 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 500000000/23533438303 (fma.f64 -2 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 500000000/23533438303 (fma.f64 -2 y z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 500000000/23533438303 (fma.f64 -2 y z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 125000000000000000000000000/13033352773350869092174451844127 (pow.f64 (fma.f64 -2 y z) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 250000000000000000/553822718361107519809 (pow.f64 (fma.f64 -2 y z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 500000000/23533438303) (fma.f64 -2 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 500000000/23533438303 (fma.f64 -2 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 125000000000000000000000000/13033352773350869092174451844127 (pow.f64 (fma.f64 -2 y z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 500000000/23533438303 (fma.f64 -2 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 500000000/23533438303 (fma.f64 -2 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 500000000/23533438303 (fma.f64 -2 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 500000000/23533438303 (fma.f64 -2 y z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 500000000/23533438303 (*.f64 -2 y) (*.f64 500000000/23533438303 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -2 y) 500000000/23533438303 (*.f64 500000000/23533438303 z))))))

simplify152.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

435×	`distribute-rgt-out_binary64`
382×	`associate-l_binary64`
345×	`fma-def_binary64`
334×	`distribute-rgt-neg-in_binary64`
303×	`sub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	67	1534
1	193	1319
2	536	1185
3	1742	1183
4	4983	1183

Stop Event

1×	node limit

Counts

166 → 115

Calls

Call 1

Inputs
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(+.f64 (.f64 -1 (.f64 (+.f64 137519416416/23533438303 (.f64 23298017199368982832548000000000/13033352773350869092174451844127 z)) (pow.f64 x 2))) (+.f64 (.f64 -1000000000/23533438303 (.f64 y x)) (+.f64 (.f64 (-.f64 (.f64 500000000/23533438303 z) (.f64 -156699607947000000000/553822718361107519809 z)) x) (*.f64 -1000000000/23533438303 z))))
(+.f64 (.f64 -1 (.f64 (+.f64 137519416416/23533438303 (.f64 23298017199368982832548000000000/13033352773350869092174451844127 z)) (pow.f64 x 2))) (+.f64 (.f64 -1000000000/23533438303 (.f64 y x)) (+.f64 (.f64 (-.f64 (.f64 500000000/23533438303 z) (.f64 -156699607947000000000/553822718361107519809 z)) x) (*.f64 -1000000000/23533438303 z))))
(+.f64 (.f64 -1 (.f64 (+.f64 137519416416/23533438303 (.f64 23298017199368982832548000000000/13033352773350869092174451844127 z)) (pow.f64 x 2))) (+.f64 (.f64 -1000000000/23533438303 (.f64 y x)) (+.f64 (.f64 (-.f64 (.f64 500000000/23533438303 z) (.f64 -156699607947000000000/553822718361107519809 z)) x) (*.f64 -1000000000/23533438303 z))))
(.f64 -1000000000/23533438303 (.f64 y x))
(+.f64 (.f64 -1 (.f64 (+.f64 137519416416/23533438303 (.f64 23298017199368982832548000000000/13033352773350869092174451844127 z)) (pow.f64 x 2))) (+.f64 (.f64 (-.f64 (.f64 500000000/23533438303 z) (.f64 -156699607947000000000/553822718361107519809 z)) x) (+.f64 (.f64 -1000000000/23533438303 (.f64 y x)) (*.f64 -1000000000/23533438303 z))))
(+.f64 (.f64 -1 (.f64 (+.f64 137519416416/23533438303 (.f64 23298017199368982832548000000000/13033352773350869092174451844127 z)) (pow.f64 x 2))) (+.f64 (.f64 (-.f64 (.f64 500000000/23533438303 z) (.f64 -156699607947000000000/553822718361107519809 z)) x) (+.f64 (.f64 -1000000000/23533438303 (.f64 y x)) (*.f64 -1000000000/23533438303 z))))
(+.f64 (.f64 -1 (.f64 (+.f64 137519416416/23533438303 (.f64 23298017199368982832548000000000/13033352773350869092174451844127 z)) (pow.f64 x 2))) (+.f64 (.f64 (-.f64 (.f64 500000000/23533438303 z) (.f64 -156699607947000000000/553822718361107519809 z)) x) (+.f64 (.f64 -1000000000/23533438303 (.f64 y x)) (*.f64 -1000000000/23533438303 z))))
(.f64 -1000000000/23533438303 (.f64 y x))
(+.f64 (.f64 -1 (.f64 (+.f64 137519416416/23533438303 (.f64 23298017199368982832548000000000/13033352773350869092174451844127 z)) (pow.f64 x 2))) (+.f64 (.f64 (-.f64 (.f64 500000000/23533438303 z) (.f64 -156699607947000000000/553822718361107519809 z)) x) (+.f64 (.f64 -1000000000/23533438303 (.f64 y x)) (*.f64 -1000000000/23533438303 z))))
(+.f64 (.f64 -1 (.f64 (+.f64 137519416416/23533438303 (.f64 23298017199368982832548000000000/13033352773350869092174451844127 z)) (pow.f64 x 2))) (+.f64 (.f64 (-.f64 (.f64 500000000/23533438303 z) (.f64 -156699607947000000000/553822718361107519809 z)) x) (+.f64 (.f64 -1000000000/23533438303 (.f64 y x)) (*.f64 -1000000000/23533438303 z))))
(+.f64 (.f64 -1 (.f64 (+.f64 137519416416/23533438303 (.f64 23298017199368982832548000000000/13033352773350869092174451844127 z)) (pow.f64 x 2))) (+.f64 (.f64 (-.f64 (.f64 500000000/23533438303 z) (.f64 -156699607947000000000/553822718361107519809 z)) x) (+.f64 (.f64 -1000000000/23533438303 (.f64 y x)) (*.f64 -1000000000/23533438303 z))))
(+.f64 (.f64 -1000000000/23533438303 (.f64 y x)) (*.f64 -137519416416/23533438303 (pow.f64 x 2)))
(+.f64 (.f64 -1000000000/23533438303 (.f64 y x)) (+.f64 (.f64 (-.f64 (+.f64 (.f64 168466327098500000000/553822718361107519809 x) (.f64 -23298017199368982832548000000000/13033352773350869092174451844127 (pow.f64 x 2))) 1000000000/23533438303) z) (.f64 -137519416416/23533438303 (pow.f64 x 2))))
(+.f64 (.f64 -1000000000/23533438303 (.f64 y x)) (+.f64 (.f64 (-.f64 (+.f64 (.f64 168466327098500000000/553822718361107519809 x) (.f64 -23298017199368982832548000000000/13033352773350869092174451844127 (pow.f64 x 2))) 1000000000/23533438303) z) (.f64 -137519416416/23533438303 (pow.f64 x 2))))
(+.f64 (.f64 -1000000000/23533438303 (.f64 y x)) (+.f64 (.f64 (-.f64 (+.f64 (.f64 168466327098500000000/553822718361107519809 x) (.f64 -23298017199368982832548000000000/13033352773350869092174451844127 (pow.f64 x 2))) 1000000000/23533438303) z) (.f64 -137519416416/23533438303 (pow.f64 x 2))))
(.f64 (-.f64 (+.f64 (.f64 168466327098500000000/553822718361107519809 x) (*.f64 -23298017199368982832548000000000/13033352773350869092174451844127 (pow.f64 x 2))) 1000000000/23533438303) z)
(+.f64 (.f64 -1000000000/23533438303 (.f64 y x)) (+.f64 (.f64 (-.f64 (+.f64 (.f64 168466327098500000000/553822718361107519809 x) (.f64 -23298017199368982832548000000000/13033352773350869092174451844127 (pow.f64 x 2))) 1000000000/23533438303) z) (.f64 -137519416416/23533438303 (pow.f64 x 2))))
(+.f64 (.f64 -1000000000/23533438303 (.f64 y x)) (+.f64 (.f64 (-.f64 (+.f64 (.f64 168466327098500000000/553822718361107519809 x) (.f64 -23298017199368982832548000000000/13033352773350869092174451844127 (pow.f64 x 2))) 1000000000/23533438303) z) (.f64 -137519416416/23533438303 (pow.f64 x 2))))
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(.f64 -1 (.f64 z (+.f64 1000000000/23533438303 (+.f64 (.f64 23298017199368982832548000000000/13033352773350869092174451844127 (pow.f64 x 2)) (.f64 -168466327098500000000/553822718361107519809 x)))))
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(+.f64 (.f64 -1000000000/23533438303 (.f64 y x)) (+.f64 (.f64 -1 (.f64 z (+.f64 1000000000/23533438303 (+.f64 (.f64 23298017199368982832548000000000/13033352773350869092174451844127 (pow.f64 x 2)) (.f64 -168466327098500000000/553822718361107519809 x))))) (*.f64 -137519416416/23533438303 (pow.f64 x 2))))
(+.f64 (.f64 -1000000000/23533438303 (.f64 y x)) (+.f64 (.f64 -1 (.f64 z (+.f64 1000000000/23533438303 (+.f64 (.f64 23298017199368982832548000000000/13033352773350869092174451844127 (pow.f64 x 2)) (.f64 -168466327098500000000/553822718361107519809 x))))) (*.f64 -137519416416/23533438303 (pow.f64 x 2))))
(*.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 -1 (.f64 (+.f64 137519416416/23533438303 (.f64 23298017199368982832548000000000/13033352773350869092174451844127 z)) (pow.f64 x 2))) (.f64 -1000000000/23533438303 z)))
(+.f64 (.f64 (-.f64 (.f64 500000000/23533438303 (+.f64 (.f64 -2 y) z)) (.f64 -156699607947000000000/553822718361107519809 z)) x) (+.f64 (.f64 -1 (.f64 (+.f64 137519416416/23533438303 (.f64 23298017199368982832548000000000/13033352773350869092174451844127 z)) (pow.f64 x 2))) (.f64 -1000000000/23533438303 z)))
(.f64 -1 (.f64 (+.f64 137519416416/23533438303 (*.f64 23298017199368982832548000000000/13033352773350869092174451844127 z)) (pow.f64 x 2)))
(+.f64 (.f64 (-.f64 (.f64 500000000/23533438303 (+.f64 (.f64 -2 y) z)) (.f64 -156699607947000000000/553822718361107519809 z)) x) (.f64 -1 (.f64 (+.f64 137519416416/23533438303 (*.f64 23298017199368982832548000000000/13033352773350869092174451844127 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 137519416416/23533438303 (.f64 23298017199368982832548000000000/13033352773350869092174451844127 z)) (pow.f64 x 2))) (.f64 -1000000000/23533438303 z)))
(+.f64 (.f64 (-.f64 (.f64 500000000/23533438303 (+.f64 (.f64 -2 y) z)) (.f64 -156699607947000000000/553822718361107519809 z)) x) (+.f64 (.f64 -1 (.f64 (+.f64 137519416416/23533438303 (.f64 23298017199368982832548000000000/13033352773350869092174451844127 z)) (pow.f64 x 2))) (.f64 -1000000000/23533438303 z)))
(.f64 -1 (.f64 (+.f64 137519416416/23533438303 (*.f64 23298017199368982832548000000000/13033352773350869092174451844127 z)) (pow.f64 x 2)))
(+.f64 (.f64 (-.f64 (.f64 500000000/23533438303 (+.f64 (.f64 -2 y) z)) (.f64 -156699607947000000000/553822718361107519809 z)) x) (.f64 -1 (.f64 (+.f64 137519416416/23533438303 (*.f64 23298017199368982832548000000000/13033352773350869092174451844127 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 137519416416/23533438303 (.f64 23298017199368982832548000000000/13033352773350869092174451844127 z)) (pow.f64 x 2))) (.f64 -1000000000/23533438303 z)))
(+.f64 (.f64 (-.f64 (.f64 500000000/23533438303 (+.f64 (.f64 -2 y) z)) (.f64 -156699607947000000000/553822718361107519809 z)) x) (+.f64 (.f64 -1 (.f64 (+.f64 137519416416/23533438303 (.f64 23298017199368982832548000000000/13033352773350869092174451844127 z)) (pow.f64 x 2))) (.f64 -1000000000/23533438303 z)))
(.f64 -1 (.f64 (+.f64 137519416416/23533438303 (*.f64 23298017199368982832548000000000/13033352773350869092174451844127 z)) (pow.f64 x 2)))
(.f64 -1 (.f64 (+.f64 137519416416/23533438303 (*.f64 23298017199368982832548000000000/13033352773350869092174451844127 z)) (pow.f64 x 2)))
(.f64 -1 (.f64 (+.f64 137519416416/23533438303 (*.f64 23298017199368982832548000000000/13033352773350869092174451844127 z)) (pow.f64 x 2)))
(.f64 -1 (.f64 (+.f64 137519416416/23533438303 (*.f64 23298017199368982832548000000000/13033352773350869092174451844127 z)) (pow.f64 x 2)))
(.f64 -1 (.f64 (+.f64 137519416416/23533438303 (*.f64 23298017199368982832548000000000/13033352773350869092174451844127 z)) (pow.f64 x 2)))
(.f64 -1 (.f64 (+.f64 137519416416/23533438303 (*.f64 23298017199368982832548000000000/13033352773350869092174451844127 z)) (pow.f64 x 2)))
(.f64 -1 (.f64 (+.f64 137519416416/23533438303 (*.f64 23298017199368982832548000000000/13033352773350869092174451844127 z)) (pow.f64 x 2)))
(.f64 -1 (.f64 (+.f64 137519416416/23533438303 (*.f64 23298017199368982832548000000000/13033352773350869092174451844127 z)) (pow.f64 x 2)))
(.f64 -1 (.f64 (+.f64 137519416416/23533438303 (*.f64 23298017199368982832548000000000/13033352773350869092174451844127 z)) (pow.f64 x 2)))
(.f64 -1 (.f64 (+.f64 137519416416/23533438303 (*.f64 23298017199368982832548000000000/13033352773350869092174451844127 z)) (pow.f64 x 2)))
(.f64 -1 (.f64 (+.f64 137519416416/23533438303 (*.f64 23298017199368982832548000000000/13033352773350869092174451844127 z)) (pow.f64 x 2)))
(.f64 -1 (.f64 (+.f64 137519416416/23533438303 (*.f64 23298017199368982832548000000000/13033352773350869092174451844127 z)) (pow.f64 x 2)))
(*.f64 -137519416416/23533438303 (pow.f64 x 2))
(+.f64 (.f64 -23298017199368982832548000000000/13033352773350869092174451844127 (.f64 z (pow.f64 x 2))) (*.f64 -137519416416/23533438303 (pow.f64 x 2)))
(+.f64 (.f64 -23298017199368982832548000000000/13033352773350869092174451844127 (.f64 z (pow.f64 x 2))) (*.f64 -137519416416/23533438303 (pow.f64 x 2)))
(+.f64 (.f64 -23298017199368982832548000000000/13033352773350869092174451844127 (.f64 z (pow.f64 x 2))) (*.f64 -137519416416/23533438303 (pow.f64 x 2)))
(.f64 -23298017199368982832548000000000/13033352773350869092174451844127 (.f64 z (pow.f64 x 2)))
(+.f64 (.f64 -23298017199368982832548000000000/13033352773350869092174451844127 (.f64 z (pow.f64 x 2))) (*.f64 -137519416416/23533438303 (pow.f64 x 2)))
(+.f64 (.f64 -23298017199368982832548000000000/13033352773350869092174451844127 (.f64 z (pow.f64 x 2))) (*.f64 -137519416416/23533438303 (pow.f64 x 2)))
(+.f64 (.f64 -23298017199368982832548000000000/13033352773350869092174451844127 (.f64 z (pow.f64 x 2))) (*.f64 -137519416416/23533438303 (pow.f64 x 2)))
(.f64 -23298017199368982832548000000000/13033352773350869092174451844127 (.f64 z (pow.f64 x 2)))
(+.f64 (.f64 -23298017199368982832548000000000/13033352773350869092174451844127 (.f64 z (pow.f64 x 2))) (*.f64 -137519416416/23533438303 (pow.f64 x 2)))
(+.f64 (.f64 -23298017199368982832548000000000/13033352773350869092174451844127 (.f64 z (pow.f64 x 2))) (*.f64 -137519416416/23533438303 (pow.f64 x 2)))
(+.f64 (.f64 -23298017199368982832548000000000/13033352773350869092174451844127 (.f64 z (pow.f64 x 2))) (*.f64 -137519416416/23533438303 (pow.f64 x 2)))
(*.f64 500000000/23533438303 z)
(+.f64 (.f64 -1000000000/23533438303 y) (.f64 500000000/23533438303 z))
(+.f64 (.f64 -1000000000/23533438303 y) (.f64 500000000/23533438303 z))
(+.f64 (.f64 -1000000000/23533438303 y) (.f64 500000000/23533438303 z))
(*.f64 -1000000000/23533438303 y)
(+.f64 (.f64 -1000000000/23533438303 y) (.f64 500000000/23533438303 z))
(+.f64 (.f64 -1000000000/23533438303 y) (.f64 500000000/23533438303 z))
(+.f64 (.f64 -1000000000/23533438303 y) (.f64 500000000/23533438303 z))
(*.f64 -1000000000/23533438303 y)
(+.f64 (.f64 -1000000000/23533438303 y) (.f64 500000000/23533438303 z))
(+.f64 (.f64 -1000000000/23533438303 y) (.f64 500000000/23533438303 z))
(+.f64 (.f64 -1000000000/23533438303 y) (.f64 500000000/23533438303 z))
(*.f64 -1000000000/23533438303 y)
(+.f64 (.f64 -1000000000/23533438303 y) (.f64 500000000/23533438303 z))
(+.f64 (.f64 -1000000000/23533438303 y) (.f64 500000000/23533438303 z))
(+.f64 (.f64 -1000000000/23533438303 y) (.f64 500000000/23533438303 z))
(*.f64 500000000/23533438303 z)
(+.f64 (.f64 -1000000000/23533438303 y) (.f64 500000000/23533438303 z))
(+.f64 (.f64 -1000000000/23533438303 y) (.f64 500000000/23533438303 z))
(+.f64 (.f64 -1000000000/23533438303 y) (.f64 500000000/23533438303 z))
(*.f64 500000000/23533438303 z)
(+.f64 (.f64 -1000000000/23533438303 y) (.f64 500000000/23533438303 z))
(+.f64 (.f64 -1000000000/23533438303 y) (.f64 500000000/23533438303 z))
(+.f64 (.f64 -1000000000/23533438303 y) (.f64 500000000/23533438303 z))

Outputs
(+.f64 (.f64 -1 (.f64 (+.f64 137519416416/23533438303 (.f64 23298017199368982832548000000000/13033352773350869092174451844127 z)) (pow.f64 x 2))) (+.f64 (.f64 (-.f64 (.f64 500000000/23533438303 z) (.f64 -156699607947000000000/553822718361107519809 z)) x) (*.f64 -1000000000/23533438303 z)))
(fma.f64 -1 (.f64 (+.f64 137519416416/23533438303 (.f64 23298017199368982832548000000000/13033352773350869092174451844127 z)) (.f64 x x)) (fma.f64 (.f64 z 168466327098500000000/553822718361107519809) x (*.f64 z -1000000000/23533438303)))
(-.f64 (fma.f64 z -1000000000/23533438303 (.f64 z (.f64 x 168466327098500000000/553822718361107519809))) (.f64 (fma.f64 23298017199368982832548000000000/13033352773350869092174451844127 z 137519416416/23533438303) (.f64 x x)))
(fma.f64 (.f64 x x) (fma.f64 z -23298017199368982832548000000000/13033352773350869092174451844127 -137519416416/23533438303) (.f64 z (fma.f64 x 168466327098500000000/553822718361107519809 -1000000000/23533438303)))
(+.f64 (.f64 -1 (.f64 (+.f64 137519416416/23533438303 (.f64 23298017199368982832548000000000/13033352773350869092174451844127 z)) (pow.f64 x 2))) (+.f64 (.f64 -1000000000/23533438303 (.f64 y x)) (+.f64 (.f64 (-.f64 (.f64 500000000/23533438303 z) (.f64 -156699607947000000000/553822718361107519809 z)) x) (*.f64 -1000000000/23533438303 z))))
(fma.f64 -1 (.f64 (+.f64 137519416416/23533438303 (.f64 23298017199368982832548000000000/13033352773350869092174451844127 z)) (.f64 x x)) (fma.f64 -1000000000/23533438303 (.f64 x y) (fma.f64 (.f64 z 168466327098500000000/553822718361107519809) x (.f64 z -1000000000/23533438303))))
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(fma.f64 z -1000000000/23533438303 (.f64 x (+.f64 (.f64 x (fma.f64 z -23298017199368982832548000000000/13033352773350869092174451844127 -137519416416/23533438303)) (fma.f64 z 168466327098500000000/553822718361107519809 (*.f64 -1000000000/23533438303 y)))))
(fma.f64 z -1000000000/23533438303 (.f64 x (+.f64 (fma.f64 z 168466327098500000000/553822718361107519809 (.f64 -1000000000/23533438303 y)) (*.f64 x (fma.f64 z -23298017199368982832548000000000/13033352773350869092174451844127 -137519416416/23533438303)))))
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(-.f64 (fma.f64 x (.f64 z 168466327098500000000/553822718361107519809) (.f64 -1000000000/23533438303 (fma.f64 x y z))) (.f64 (fma.f64 23298017199368982832548000000000/13033352773350869092174451844127 z 137519416416/23533438303) (.f64 x x)))
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(fma.f64 z -1000000000/23533438303 (.f64 x (+.f64 (fma.f64 z 168466327098500000000/553822718361107519809 (.f64 -1000000000/23533438303 y)) (*.f64 x (fma.f64 z -23298017199368982832548000000000/13033352773350869092174451844127 -137519416416/23533438303)))))
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(fma.f64 z -1000000000/23533438303 (.f64 x (+.f64 (fma.f64 z 168466327098500000000/553822718361107519809 (.f64 -1000000000/23533438303 y)) (*.f64 x (fma.f64 z -23298017199368982832548000000000/13033352773350869092174451844127 -137519416416/23533438303)))))
(.f64 -1000000000/23533438303 (.f64 y x))
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(.f64 x (.f64 -1000000000/23533438303 y))
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(fma.f64 -1 (.f64 (+.f64 137519416416/23533438303 (.f64 23298017199368982832548000000000/13033352773350869092174451844127 z)) (.f64 x x)) (fma.f64 -1000000000/23533438303 (.f64 x y) (fma.f64 (.f64 z 168466327098500000000/553822718361107519809) x (.f64 z -1000000000/23533438303))))
(-.f64 (fma.f64 x (.f64 z 168466327098500000000/553822718361107519809) (.f64 -1000000000/23533438303 (fma.f64 x y z))) (.f64 (fma.f64 23298017199368982832548000000000/13033352773350869092174451844127 z 137519416416/23533438303) (.f64 x x)))
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(.f64 (fma.f64 23298017199368982832548000000000/13033352773350869092174451844127 z 137519416416/23533438303) (neg.f64 (.f64 x x)))
(.f64 (.f64 x x) (fma.f64 z -23298017199368982832548000000000/13033352773350869092174451844127 -137519416416/23533438303))
(.f64 x (.f64 x (fma.f64 z -23298017199368982832548000000000/13033352773350869092174451844127 -137519416416/23533438303)))
(.f64 -1 (.f64 (+.f64 137519416416/23533438303 (*.f64 23298017199368982832548000000000/13033352773350869092174451844127 z)) (pow.f64 x 2)))
(neg.f64 (.f64 (+.f64 137519416416/23533438303 (.f64 23298017199368982832548000000000/13033352773350869092174451844127 z)) (*.f64 x x)))
(.f64 (fma.f64 23298017199368982832548000000000/13033352773350869092174451844127 z 137519416416/23533438303) (neg.f64 (.f64 x x)))
(.f64 (.f64 x x) (fma.f64 z -23298017199368982832548000000000/13033352773350869092174451844127 -137519416416/23533438303))
(.f64 x (.f64 x (fma.f64 z -23298017199368982832548000000000/13033352773350869092174451844127 -137519416416/23533438303)))
(.f64 -1 (.f64 (+.f64 137519416416/23533438303 (*.f64 23298017199368982832548000000000/13033352773350869092174451844127 z)) (pow.f64 x 2)))
(neg.f64 (.f64 (+.f64 137519416416/23533438303 (.f64 23298017199368982832548000000000/13033352773350869092174451844127 z)) (*.f64 x x)))
(.f64 (fma.f64 23298017199368982832548000000000/13033352773350869092174451844127 z 137519416416/23533438303) (neg.f64 (.f64 x x)))
(.f64 (.f64 x x) (fma.f64 z -23298017199368982832548000000000/13033352773350869092174451844127 -137519416416/23533438303))
(.f64 x (.f64 x (fma.f64 z -23298017199368982832548000000000/13033352773350869092174451844127 -137519416416/23533438303)))
(*.f64 -137519416416/23533438303 (pow.f64 x 2))
(.f64 (.f64 x x) -137519416416/23533438303)
(.f64 x (.f64 x -137519416416/23533438303))
(+.f64 (.f64 -23298017199368982832548000000000/13033352773350869092174451844127 (.f64 z (pow.f64 x 2))) (*.f64 -137519416416/23533438303 (pow.f64 x 2)))
(neg.f64 (.f64 (+.f64 137519416416/23533438303 (.f64 23298017199368982832548000000000/13033352773350869092174451844127 z)) (*.f64 x x)))
(.f64 (fma.f64 23298017199368982832548000000000/13033352773350869092174451844127 z 137519416416/23533438303) (neg.f64 (.f64 x x)))
(.f64 (.f64 x x) (fma.f64 z -23298017199368982832548000000000/13033352773350869092174451844127 -137519416416/23533438303))
(.f64 x (.f64 x (fma.f64 z -23298017199368982832548000000000/13033352773350869092174451844127 -137519416416/23533438303)))
(+.f64 (.f64 -23298017199368982832548000000000/13033352773350869092174451844127 (.f64 z (pow.f64 x 2))) (*.f64 -137519416416/23533438303 (pow.f64 x 2)))
(neg.f64 (.f64 (+.f64 137519416416/23533438303 (.f64 23298017199368982832548000000000/13033352773350869092174451844127 z)) (*.f64 x x)))
(.f64 (fma.f64 23298017199368982832548000000000/13033352773350869092174451844127 z 137519416416/23533438303) (neg.f64 (.f64 x x)))
(.f64 (.f64 x x) (fma.f64 z -23298017199368982832548000000000/13033352773350869092174451844127 -137519416416/23533438303))
(.f64 x (.f64 x (fma.f64 z -23298017199368982832548000000000/13033352773350869092174451844127 -137519416416/23533438303)))
(+.f64 (.f64 -23298017199368982832548000000000/13033352773350869092174451844127 (.f64 z (pow.f64 x 2))) (*.f64 -137519416416/23533438303 (pow.f64 x 2)))
(neg.f64 (.f64 (+.f64 137519416416/23533438303 (.f64 23298017199368982832548000000000/13033352773350869092174451844127 z)) (*.f64 x x)))
(.f64 (fma.f64 23298017199368982832548000000000/13033352773350869092174451844127 z 137519416416/23533438303) (neg.f64 (.f64 x x)))
(.f64 (.f64 x x) (fma.f64 z -23298017199368982832548000000000/13033352773350869092174451844127 -137519416416/23533438303))
(.f64 x (.f64 x (fma.f64 z -23298017199368982832548000000000/13033352773350869092174451844127 -137519416416/23533438303)))
(.f64 -23298017199368982832548000000000/13033352773350869092174451844127 (.f64 z (pow.f64 x 2)))
(.f64 -23298017199368982832548000000000/13033352773350869092174451844127 (.f64 z (*.f64 x x)))
(.f64 z (.f64 x (*.f64 x -23298017199368982832548000000000/13033352773350869092174451844127)))
(.f64 (.f64 x x) (*.f64 z -23298017199368982832548000000000/13033352773350869092174451844127))
(+.f64 (.f64 -23298017199368982832548000000000/13033352773350869092174451844127 (.f64 z (pow.f64 x 2))) (*.f64 -137519416416/23533438303 (pow.f64 x 2)))
(neg.f64 (.f64 (+.f64 137519416416/23533438303 (.f64 23298017199368982832548000000000/13033352773350869092174451844127 z)) (*.f64 x x)))
(.f64 (fma.f64 23298017199368982832548000000000/13033352773350869092174451844127 z 137519416416/23533438303) (neg.f64 (.f64 x x)))
(.f64 (.f64 x x) (fma.f64 z -23298017199368982832548000000000/13033352773350869092174451844127 -137519416416/23533438303))
(.f64 x (.f64 x (fma.f64 z -23298017199368982832548000000000/13033352773350869092174451844127 -137519416416/23533438303)))
(+.f64 (.f64 -23298017199368982832548000000000/13033352773350869092174451844127 (.f64 z (pow.f64 x 2))) (*.f64 -137519416416/23533438303 (pow.f64 x 2)))
(neg.f64 (.f64 (+.f64 137519416416/23533438303 (.f64 23298017199368982832548000000000/13033352773350869092174451844127 z)) (*.f64 x x)))
(.f64 (fma.f64 23298017199368982832548000000000/13033352773350869092174451844127 z 137519416416/23533438303) (neg.f64 (.f64 x x)))
(.f64 (.f64 x x) (fma.f64 z -23298017199368982832548000000000/13033352773350869092174451844127 -137519416416/23533438303))
(.f64 x (.f64 x (fma.f64 z -23298017199368982832548000000000/13033352773350869092174451844127 -137519416416/23533438303)))
(+.f64 (.f64 -23298017199368982832548000000000/13033352773350869092174451844127 (.f64 z (pow.f64 x 2))) (*.f64 -137519416416/23533438303 (pow.f64 x 2)))
(neg.f64 (.f64 (+.f64 137519416416/23533438303 (.f64 23298017199368982832548000000000/13033352773350869092174451844127 z)) (*.f64 x x)))
(.f64 (fma.f64 23298017199368982832548000000000/13033352773350869092174451844127 z 137519416416/23533438303) (neg.f64 (.f64 x x)))
(.f64 (.f64 x x) (fma.f64 z -23298017199368982832548000000000/13033352773350869092174451844127 -137519416416/23533438303))
(.f64 x (.f64 x (fma.f64 z -23298017199368982832548000000000/13033352773350869092174451844127 -137519416416/23533438303)))
(.f64 -23298017199368982832548000000000/13033352773350869092174451844127 (.f64 z (pow.f64 x 2)))
(.f64 -23298017199368982832548000000000/13033352773350869092174451844127 (.f64 z (*.f64 x x)))
(.f64 z (.f64 x (*.f64 x -23298017199368982832548000000000/13033352773350869092174451844127)))
(.f64 (.f64 x x) (*.f64 z -23298017199368982832548000000000/13033352773350869092174451844127))
(+.f64 (.f64 -23298017199368982832548000000000/13033352773350869092174451844127 (.f64 z (pow.f64 x 2))) (*.f64 -137519416416/23533438303 (pow.f64 x 2)))
(neg.f64 (.f64 (+.f64 137519416416/23533438303 (.f64 23298017199368982832548000000000/13033352773350869092174451844127 z)) (*.f64 x x)))
(.f64 (fma.f64 23298017199368982832548000000000/13033352773350869092174451844127 z 137519416416/23533438303) (neg.f64 (.f64 x x)))
(.f64 (.f64 x x) (fma.f64 z -23298017199368982832548000000000/13033352773350869092174451844127 -137519416416/23533438303))
(.f64 x (.f64 x (fma.f64 z -23298017199368982832548000000000/13033352773350869092174451844127 -137519416416/23533438303)))
(+.f64 (.f64 -23298017199368982832548000000000/13033352773350869092174451844127 (.f64 z (pow.f64 x 2))) (*.f64 -137519416416/23533438303 (pow.f64 x 2)))
(neg.f64 (.f64 (+.f64 137519416416/23533438303 (.f64 23298017199368982832548000000000/13033352773350869092174451844127 z)) (*.f64 x x)))
(.f64 (fma.f64 23298017199368982832548000000000/13033352773350869092174451844127 z 137519416416/23533438303) (neg.f64 (.f64 x x)))
(.f64 (.f64 x x) (fma.f64 z -23298017199368982832548000000000/13033352773350869092174451844127 -137519416416/23533438303))
(.f64 x (.f64 x (fma.f64 z -23298017199368982832548000000000/13033352773350869092174451844127 -137519416416/23533438303)))
(+.f64 (.f64 -23298017199368982832548000000000/13033352773350869092174451844127 (.f64 z (pow.f64 x 2))) (*.f64 -137519416416/23533438303 (pow.f64 x 2)))
(neg.f64 (.f64 (+.f64 137519416416/23533438303 (.f64 23298017199368982832548000000000/13033352773350869092174451844127 z)) (*.f64 x x)))
(.f64 (fma.f64 23298017199368982832548000000000/13033352773350869092174451844127 z 137519416416/23533438303) (neg.f64 (.f64 x x)))
(.f64 (.f64 x x) (fma.f64 z -23298017199368982832548000000000/13033352773350869092174451844127 -137519416416/23533438303))
(.f64 x (.f64 x (fma.f64 z -23298017199368982832548000000000/13033352773350869092174451844127 -137519416416/23533438303)))
(*.f64 500000000/23533438303 z)
(*.f64 z 500000000/23533438303)
(+.f64 (.f64 -1000000000/23533438303 y) (.f64 500000000/23533438303 z))
(fma.f64 -1000000000/23533438303 y (*.f64 z 500000000/23533438303))
(fma.f64 z 500000000/23533438303 (*.f64 -1000000000/23533438303 y))
(*.f64 500000000/23533438303 (fma.f64 y -2 z))
(+.f64 (.f64 -1000000000/23533438303 y) (.f64 500000000/23533438303 z))
(fma.f64 -1000000000/23533438303 y (*.f64 z 500000000/23533438303))
(fma.f64 z 500000000/23533438303 (*.f64 -1000000000/23533438303 y))
(*.f64 500000000/23533438303 (fma.f64 y -2 z))
(+.f64 (.f64 -1000000000/23533438303 y) (.f64 500000000/23533438303 z))
(fma.f64 -1000000000/23533438303 y (*.f64 z 500000000/23533438303))
(fma.f64 z 500000000/23533438303 (*.f64 -1000000000/23533438303 y))
(*.f64 500000000/23533438303 (fma.f64 y -2 z))
(*.f64 -1000000000/23533438303 y)
(+.f64 (.f64 -1000000000/23533438303 y) (.f64 500000000/23533438303 z))
(fma.f64 -1000000000/23533438303 y (*.f64 z 500000000/23533438303))
(fma.f64 z 500000000/23533438303 (*.f64 -1000000000/23533438303 y))
(*.f64 500000000/23533438303 (fma.f64 y -2 z))
(+.f64 (.f64 -1000000000/23533438303 y) (.f64 500000000/23533438303 z))
(fma.f64 -1000000000/23533438303 y (*.f64 z 500000000/23533438303))
(fma.f64 z 500000000/23533438303 (*.f64 -1000000000/23533438303 y))
(*.f64 500000000/23533438303 (fma.f64 y -2 z))
(+.f64 (.f64 -1000000000/23533438303 y) (.f64 500000000/23533438303 z))
(fma.f64 -1000000000/23533438303 y (*.f64 z 500000000/23533438303))
(fma.f64 z 500000000/23533438303 (*.f64 -1000000000/23533438303 y))
(*.f64 500000000/23533438303 (fma.f64 y -2 z))
(*.f64 -1000000000/23533438303 y)
(+.f64 (.f64 -1000000000/23533438303 y) (.f64 500000000/23533438303 z))
(fma.f64 -1000000000/23533438303 y (*.f64 z 500000000/23533438303))
(fma.f64 z 500000000/23533438303 (*.f64 -1000000000/23533438303 y))
(*.f64 500000000/23533438303 (fma.f64 y -2 z))
(+.f64 (.f64 -1000000000/23533438303 y) (.f64 500000000/23533438303 z))
(fma.f64 -1000000000/23533438303 y (*.f64 z 500000000/23533438303))
(fma.f64 z 500000000/23533438303 (*.f64 -1000000000/23533438303 y))
(*.f64 500000000/23533438303 (fma.f64 y -2 z))
(+.f64 (.f64 -1000000000/23533438303 y) (.f64 500000000/23533438303 z))
(fma.f64 -1000000000/23533438303 y (*.f64 z 500000000/23533438303))
(fma.f64 z 500000000/23533438303 (*.f64 -1000000000/23533438303 y))
(*.f64 500000000/23533438303 (fma.f64 y -2 z))
(*.f64 -1000000000/23533438303 y)
(+.f64 (.f64 -1000000000/23533438303 y) (.f64 500000000/23533438303 z))
(fma.f64 -1000000000/23533438303 y (*.f64 z 500000000/23533438303))
(fma.f64 z 500000000/23533438303 (*.f64 -1000000000/23533438303 y))
(*.f64 500000000/23533438303 (fma.f64 y -2 z))
(+.f64 (.f64 -1000000000/23533438303 y) (.f64 500000000/23533438303 z))
(fma.f64 -1000000000/23533438303 y (*.f64 z 500000000/23533438303))
(fma.f64 z 500000000/23533438303 (*.f64 -1000000000/23533438303 y))
(*.f64 500000000/23533438303 (fma.f64 y -2 z))
(+.f64 (.f64 -1000000000/23533438303 y) (.f64 500000000/23533438303 z))
(fma.f64 -1000000000/23533438303 y (*.f64 z 500000000/23533438303))
(fma.f64 z 500000000/23533438303 (*.f64 -1000000000/23533438303 y))
(*.f64 500000000/23533438303 (fma.f64 y -2 z))
(*.f64 500000000/23533438303 z)
(*.f64 z 500000000/23533438303)
(+.f64 (.f64 -1000000000/23533438303 y) (.f64 500000000/23533438303 z))
(fma.f64 -1000000000/23533438303 y (*.f64 z 500000000/23533438303))
(fma.f64 z 500000000/23533438303 (*.f64 -1000000000/23533438303 y))
(*.f64 500000000/23533438303 (fma.f64 y -2 z))
(+.f64 (.f64 -1000000000/23533438303 y) (.f64 500000000/23533438303 z))
(fma.f64 -1000000000/23533438303 y (*.f64 z 500000000/23533438303))
(fma.f64 z 500000000/23533438303 (*.f64 -1000000000/23533438303 y))
(*.f64 500000000/23533438303 (fma.f64 y -2 z))
(+.f64 (.f64 -1000000000/23533438303 y) (.f64 500000000/23533438303 z))
(fma.f64 -1000000000/23533438303 y (*.f64 z 500000000/23533438303))
(fma.f64 z 500000000/23533438303 (*.f64 -1000000000/23533438303 y))
(*.f64 500000000/23533438303 (fma.f64 y -2 z))
(*.f64 500000000/23533438303 z)
(*.f64 z 500000000/23533438303)
(+.f64 (.f64 -1000000000/23533438303 y) (.f64 500000000/23533438303 z))
(fma.f64 -1000000000/23533438303 y (*.f64 z 500000000/23533438303))
(fma.f64 z 500000000/23533438303 (*.f64 -1000000000/23533438303 y))
(*.f64 500000000/23533438303 (fma.f64 y -2 z))
(+.f64 (.f64 -1000000000/23533438303 y) (.f64 500000000/23533438303 z))
(fma.f64 -1000000000/23533438303 y (*.f64 z 500000000/23533438303))
(fma.f64 z 500000000/23533438303 (*.f64 -1000000000/23533438303 y))
(*.f64 500000000/23533438303 (fma.f64 y -2 z))
(+.f64 (.f64 -1000000000/23533438303 y) (.f64 500000000/23533438303 z))
(fma.f64 -1000000000/23533438303 y (*.f64 z 500000000/23533438303))
(fma.f64 z 500000000/23533438303 (*.f64 -1000000000/23533438303 y))
(*.f64 500000000/23533438303 (fma.f64 y -2 z))

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 168466327098500000000/553822718361107519809 (*.f64 x -23298017199368982832548000000000/13033352773350869092174451844127))
✓	0.1b	(fma.f64 x (+.f64 168466327098500000000/553822718361107519809 (*.f64 x -23298017199368982832548000000000/13033352773350869092174451844127)) -1000000000/23533438303)
✓	0.1b	(*.f64 x -23298017199368982832548000000000/13033352773350869092174451844127)
✓	5.2b	(.f64 z (fma.f64 x (+.f64 168466327098500000000/553822718361107519809 (.f64 x -23298017199368982832548000000000/13033352773350869092174451844127)) -1000000000/23533438303))

Compiler

Compiled 34 to 25 computations (26.5% saved)

series8.0ms (0%)

Counts

4 → 60

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	z	@	0	(.f64 z (fma.f64 x (+.f64 168466327098500000000/553822718361107519809 (.f64 x -23298017199368982832548000000000/13033352773350869092174451844127)) -1000000000/23533438303))
1.0ms	x	@	0	(.f64 z (fma.f64 x (+.f64 168466327098500000000/553822718361107519809 (.f64 x -23298017199368982832548000000000/13033352773350869092174451844127)) -1000000000/23533438303))
1.0ms	z	@	inf	(.f64 z (fma.f64 x (+.f64 168466327098500000000/553822718361107519809 (.f64 x -23298017199368982832548000000000/13033352773350869092174451844127)) -1000000000/23533438303))
1.0ms	x	@	inf	(.f64 z (fma.f64 x (+.f64 168466327098500000000/553822718361107519809 (.f64 x -23298017199368982832548000000000/13033352773350869092174451844127)) -1000000000/23533438303))
1.0ms	z	@	-inf	(.f64 z (fma.f64 x (+.f64 168466327098500000000/553822718361107519809 (.f64 x -23298017199368982832548000000000/13033352773350869092174451844127)) -1000000000/23533438303))

rewrite230.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

556×	`unpow-prod-down_binary64`
446×	`log-prod_binary64`
345×	`exp-prod_binary64`
266×	`pow2_binary64`
258×	`pow-prod-down_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	36
1	213	30
2	2552	30

Stop Event

1×	node limit

Counts

4 → 151

Calls

Call 1

Inputs
(.f64 z (fma.f64 x (+.f64 168466327098500000000/553822718361107519809 (.f64 x -23298017199368982832548000000000/13033352773350869092174451844127)) -1000000000/23533438303))
(*.f64 x -23298017199368982832548000000000/13033352773350869092174451844127)
(fma.f64 x (+.f64 168466327098500000000/553822718361107519809 (*.f64 x -23298017199368982832548000000000/13033352773350869092174451844127)) -1000000000/23533438303)
(+.f64 168466327098500000000/553822718361107519809 (*.f64 x -23298017199368982832548000000000/13033352773350869092174451844127))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 z (fma.f64 x (fma.f64 x -23298017199368982832548000000000/13033352773350869092174451844127 168466327098500000000/553822718361107519809) -1000000000/23533438303)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 x (fma.f64 x -23298017199368982832548000000000/13033352773350869092174451844127 168466327098500000000/553822718361107519809)) z) (.f64 -1000000000/23533438303 z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 z (.f64 x (fma.f64 x -23298017199368982832548000000000/13033352773350869092174451844127 168466327098500000000/553822718361107519809))) (.f64 z -1000000000/23533438303))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (fma.f64 x (fma.f64 x -23298017199368982832548000000000/13033352773350869092174451844127 168466327098500000000/553822718361107519809) -1000000000/23533438303))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (fma.f64 x (fma.f64 x 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 x -23298017199368982832548000000000/13033352773350869092174451844127))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -23298017199368982832548000000000/13033352773350869092174451844127) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -23298017199368982832548000000000/13033352773350869092174451844127) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -23298017199368982832548000000000/13033352773350869092174451844127) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -23298017199368982832548000000000/13033352773350869092174451844127) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x -23298017199368982832548000000000/13033352773350869092174451844127))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x -23298017199368982832548000000000/13033352773350869092174451844127) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 542797605422092942358814230316819145408172304000000000000000000/169868284514612790840026878204658522412665565491287311104392129 (.f64 x x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x -23298017199368982832548000000000/13033352773350869092174451844127)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 x -23298017199368982832548000000000/13033352773350869092174451844127)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 -12646107946900220023601085064177274635968910597465600600357563350592000000000000000000000000000/2213953277082883107293006998589109681057845346595525701942933828941509664687533239913393676383 (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (.f64 x -23298017199368982832548000000000/13033352773350869092174451844127)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x -23298017199368982832548000000000/13033352773350869092174451844127))) 2)) (cbrt.f64 (log.f64 (.f64 x -23298017199368982832548000000000/13033352773350869092174451844127))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x -23298017199368982832548000000000/13033352773350869092174451844127)))) (sqrt.f64 (log.f64 (.f64 x -23298017199368982832548000000000/13033352773350869092174451844127))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 542797605422092942358814230316819145408172304000000000000000000/169868284514612790840026878204658522412665565491287311104392129 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -23298017199368982832548000000000/13033352773350869092174451844127) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 x -23298017199368982832548000000000/13033352773350869092174451844127))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 -12646107946900220023601085064177274635968910597465600600357563350592000000000000000000000000000/2213953277082883107293006998589109681057845346595525701942933828941509664687533239913393676383 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x -23298017199368982832548000000000/13033352773350869092174451844127)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 x -23298017199368982832548000000000/13033352773350869092174451844127)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 x -23298017199368982832548000000000/13033352773350869092174451844127)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 x -23298017199368982832548000000000/13033352773350869092174451844127)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x -23298017199368982832548000000000/13033352773350869092174451844127))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x -23298017199368982832548000000000/13033352773350869092174451844127))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (.f64 x -23298017199368982832548000000000/13033352773350869092174451844127))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (.f64 x -23298017199368982832548000000000/13033352773350869092174451844127)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (*.f64 x -23298017199368982832548000000000/13033352773350869092174451844127)) 3) 1/3))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1000000000/23533438303 (.f64 x (fma.f64 x -23298017199368982832548000000000/13033352773350869092174451844127 168466327098500000000/553822718361107519809)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (fma.f64 x -23298017199368982832548000000000/13033352773350869092174451844127 168466327098500000000/553822718361107519809)) -1000000000/23533438303)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 x (fma.f64 x -23298017199368982832548000000000/13033352773350869092174451844127 168466327098500000000/553822718361107519809) -1000000000/23533438303))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 x (fma.f64 x -23298017199368982832548000000000/13033352773350869092174451844127 168466327098500000000/553822718361107519809)) 1) -1000000000/23533438303)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x (fma.f64 x 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(.f64 23298017199368982832548000000000/13033352773350869092174451844127 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 542797605422092942358814230316819145408172304000000000000000000/169868284514612790840026878204658522412665565491287311104392129 (.f64 x x) -28380903366058795428702250000000000000000/306719603372886620352117082586607327396481) (fma.f64 x -23298017199368982832548000000000/13033352773350869092174451844127 -168466327098500000000/553822718361107519809))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x -23298017199368982832548000000000/13033352773350869092174451844127 168466327098500000000/553822718361107519809) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x -23298017199368982832548000000000/13033352773350869092174451844127 168466327098500000000/553822718361107519809) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x -23298017199368982832548000000000/13033352773350869092174451844127 168466327098500000000/553822718361107519809) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x -23298017199368982832548000000000/13033352773350869092174451844127 168466327098500000000/553822718361107519809)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x -23298017199368982832548000000000/13033352773350869092174451844127 168466327098500000000/553822718361107519809)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (fma.f64 x -23298017199368982832548000000000/13033352773350869092174451844127 168466327098500000000/553822718361107519809)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (.f64 x -23298017199368982832548000000000/13033352773350869092174451844127) (fma.f64 x -23298017199368982832548000000000/13033352773350869092174451844127 -168466327098500000000/553822718361107519809) 28380903366058795428702250000000000000000/306719603372886620352117082586607327396481) (fma.f64 -12646107946900220023601085064177274635968910597465600600357563350592000000000000000000000000000/2213953277082883107293006998589109681057845346595525701942933828941509664687533239913393676383 (pow.f64 x 3) 4781226549817380713474649783862921625000000000000000000000000/169868284514612790840026878204658522412665565491287311104392129)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 168466327098500000000/553822718361107519809 (.f64 23298017199368982832548000000000/13033352773350869092174451844127 x)) (-.f64 28380903366058795428702250000000000000000/306719603372886620352117082586607327396481 (.f64 542797605422092942358814230316819145408172304000000000000000000/169868284514612790840026878204658522412665565491287311104392129 (.f64 x x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x -23298017199368982832548000000000/13033352773350869092174451844127 168466327098500000000/553822718361107519809))) 2)) (cbrt.f64 (log.f64 (fma.f64 x -23298017199368982832548000000000/13033352773350869092174451844127 168466327098500000000/553822718361107519809))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x -23298017199368982832548000000000/13033352773350869092174451844127 168466327098500000000/553822718361107519809)))) (sqrt.f64 (log.f64 (fma.f64 x -23298017199368982832548000000000/13033352773350869092174451844127 168466327098500000000/553822718361107519809))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x -23298017199368982832548000000000/13033352773350869092174451844127 168466327098500000000/553822718361107519809) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x -23298017199368982832548000000000/13033352773350869092174451844127 168466327098500000000/553822718361107519809)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x -23298017199368982832548000000000/13033352773350869092174451844127 168466327098500000000/553822718361107519809))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x -23298017199368982832548000000000/13033352773350869092174451844127 168466327098500000000/553822718361107519809) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x -23298017199368982832548000000000/13033352773350869092174451844127 168466327098500000000/553822718361107519809)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x -23298017199368982832548000000000/13033352773350869092174451844127 168466327098500000000/553822718361107519809)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x -23298017199368982832548000000000/13033352773350869092174451844127 168466327098500000000/553822718361107519809)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 x -23298017199368982832548000000000/13033352773350869092174451844127 168466327098500000000/553822718361107519809)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 x -23298017199368982832548000000000/13033352773350869092174451844127 168466327098500000000/553822718361107519809))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 x -23298017199368982832548000000000/13033352773350869092174451844127 168466327098500000000/553822718361107519809))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 x -23298017199368982832548000000000/13033352773350869092174451844127 168466327098500000000/553822718361107519809))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (fma.f64 x -23298017199368982832548000000000/13033352773350869092174451844127 168466327098500000000/553822718361107519809)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x -23298017199368982832548000000000/13033352773350869092174451844127 168466327098500000000/553822718361107519809)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -23298017199368982832548000000000/13033352773350869092174451844127 x 168466327098500000000/553822718361107519809)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x -23298017199368982832548000000000/13033352773350869092174451844127) 1 168466327098500000000/553822718361107519809)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 x -23298017199368982832548000000000/13033352773350869092174451844127) 168466327098500000000/553822718361107519809)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 x -23298017199368982832548000000000/13033352773350869092174451844127)) (pow.f64 (cbrt.f64 (.f64 x -23298017199368982832548000000000/13033352773350869092174451844127)) 2) 168466327098500000000/553822718361107519809)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 x -23298017199368982832548000000000/13033352773350869092174451844127)) 2) (cbrt.f64 (.f64 x -23298017199368982832548000000000/13033352773350869092174451844127)) 168466327098500000000/553822718361107519809)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) -23298017199368982832548000000000/13033352773350869092174451844127) 168466327098500000000/553822718361107519809)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 x -23298017199368982832548000000000/13033352773350869092174451844127)) (sqrt.f64 (.f64 x -23298017199368982832548000000000/13033352773350869092174451844127)) 168466327098500000000/553822718361107519809)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) -23298017199368982832548000000000/13033352773350869092174451844127) 168466327098500000000/553822718361107519809)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 -23298017199368982832548000000000/13033352773350869092174451844127 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) 168466327098500000000/553822718361107519809)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 -23298017199368982832548000000000/13033352773350869092174451844127 (sqrt.f64 x)) (sqrt.f64 x) 168466327098500000000/553822718361107519809)))))

simplify121.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1040×	`fma-def_binary64`
454×	`neg-sub0_binary64`
453×	`neg-mul-1_binary64`
422×	`associate-l_binary64`
381×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	28	513
1	68	477
2	133	462
3	247	462
4	612	462
5	1750	462
6	3158	462
7	4671	462
8	6720	462

Stop Event

1×	node limit

Counts

211 → 174

Calls

Call 1

Inputs
(.f64 (-.f64 (.f64 (+.f64 (*.f64 -23298017199368982832548000000000/13033352773350869092174451844127 x) 168466327098500000000/553822718361107519809) x) 1000000000/23533438303) z)
(.f64 (-.f64 (.f64 (+.f64 (*.f64 -23298017199368982832548000000000/13033352773350869092174451844127 x) 168466327098500000000/553822718361107519809) x) 1000000000/23533438303) z)
(.f64 (-.f64 (.f64 (+.f64 (*.f64 -23298017199368982832548000000000/13033352773350869092174451844127 x) 168466327098500000000/553822718361107519809) x) 1000000000/23533438303) z)
(.f64 (-.f64 (.f64 (+.f64 (*.f64 -23298017199368982832548000000000/13033352773350869092174451844127 x) 168466327098500000000/553822718361107519809) x) 1000000000/23533438303) z)
(.f64 (-.f64 (.f64 (+.f64 (*.f64 -23298017199368982832548000000000/13033352773350869092174451844127 x) 168466327098500000000/553822718361107519809) x) 1000000000/23533438303) z)
(.f64 (-.f64 (.f64 (+.f64 (*.f64 -23298017199368982832548000000000/13033352773350869092174451844127 x) 168466327098500000000/553822718361107519809) x) 1000000000/23533438303) z)
(.f64 (-.f64 (.f64 (+.f64 (*.f64 -23298017199368982832548000000000/13033352773350869092174451844127 x) 168466327098500000000/553822718361107519809) x) 1000000000/23533438303) z)
(.f64 (-.f64 (.f64 (+.f64 (*.f64 -23298017199368982832548000000000/13033352773350869092174451844127 x) 168466327098500000000/553822718361107519809) x) 1000000000/23533438303) z)
(.f64 (-.f64 (.f64 (+.f64 (*.f64 -23298017199368982832548000000000/13033352773350869092174451844127 x) 168466327098500000000/553822718361107519809) x) 1000000000/23533438303) z)
(.f64 (-.f64 (.f64 (+.f64 (*.f64 -23298017199368982832548000000000/13033352773350869092174451844127 x) 168466327098500000000/553822718361107519809) x) 1000000000/23533438303) z)
(.f64 (-.f64 (.f64 (+.f64 (*.f64 -23298017199368982832548000000000/13033352773350869092174451844127 x) 168466327098500000000/553822718361107519809) x) 1000000000/23533438303) z)
(.f64 (-.f64 (.f64 (+.f64 (*.f64 -23298017199368982832548000000000/13033352773350869092174451844127 x) 168466327098500000000/553822718361107519809) x) 1000000000/23533438303) z)
(*.f64 -1000000000/23533438303 z)
(+.f64 (.f64 168466327098500000000/553822718361107519809 (.f64 z x)) (*.f64 -1000000000/23533438303 z))
(+.f64 (.f64 168466327098500000000/553822718361107519809 (.f64 z x)) (+.f64 (.f64 -1000000000/23533438303 z) (.f64 -23298017199368982832548000000000/13033352773350869092174451844127 (*.f64 z (pow.f64 x 2)))))
(+.f64 (.f64 168466327098500000000/553822718361107519809 (.f64 z x)) (+.f64 (.f64 -1000000000/23533438303 z) (.f64 -23298017199368982832548000000000/13033352773350869092174451844127 (*.f64 z (pow.f64 x 2)))))
(.f64 -23298017199368982832548000000000/13033352773350869092174451844127 (.f64 z (pow.f64 x 2)))
(+.f64 (.f64 168466327098500000000/553822718361107519809 (.f64 z x)) (.f64 -23298017199368982832548000000000/13033352773350869092174451844127 (.f64 z (pow.f64 x 2))))
(+.f64 (.f64 168466327098500000000/553822718361107519809 (.f64 z x)) (+.f64 (.f64 -1000000000/23533438303 z) (.f64 -23298017199368982832548000000000/13033352773350869092174451844127 (*.f64 z (pow.f64 x 2)))))
(+.f64 (.f64 168466327098500000000/553822718361107519809 (.f64 z x)) (+.f64 (.f64 -1000000000/23533438303 z) (.f64 -23298017199368982832548000000000/13033352773350869092174451844127 (*.f64 z (pow.f64 x 2)))))
(.f64 -23298017199368982832548000000000/13033352773350869092174451844127 (.f64 z (pow.f64 x 2)))
(+.f64 (.f64 168466327098500000000/553822718361107519809 (.f64 z x)) (.f64 -23298017199368982832548000000000/13033352773350869092174451844127 (.f64 z (pow.f64 x 2))))
(+.f64 (.f64 168466327098500000000/553822718361107519809 (.f64 z x)) (+.f64 (.f64 -1000000000/23533438303 z) (.f64 -23298017199368982832548000000000/13033352773350869092174451844127 (*.f64 z (pow.f64 x 2)))))
(+.f64 (.f64 168466327098500000000/553822718361107519809 (.f64 z x)) (+.f64 (.f64 -1000000000/23533438303 z) (.f64 -23298017199368982832548000000000/13033352773350869092174451844127 (*.f64 z (pow.f64 x 2)))))
(*.f64 -23298017199368982832548000000000/13033352773350869092174451844127 x)
(*.f64 -23298017199368982832548000000000/13033352773350869092174451844127 x)
(*.f64 -23298017199368982832548000000000/13033352773350869092174451844127 x)
(*.f64 -23298017199368982832548000000000/13033352773350869092174451844127 x)
(*.f64 -23298017199368982832548000000000/13033352773350869092174451844127 x)
(*.f64 -23298017199368982832548000000000/13033352773350869092174451844127 x)
(*.f64 -23298017199368982832548000000000/13033352773350869092174451844127 x)
(*.f64 -23298017199368982832548000000000/13033352773350869092174451844127 x)
(*.f64 -23298017199368982832548000000000/13033352773350869092174451844127 x)
(*.f64 -23298017199368982832548000000000/13033352773350869092174451844127 x)
(*.f64 -23298017199368982832548000000000/13033352773350869092174451844127 x)
(*.f64 -23298017199368982832548000000000/13033352773350869092174451844127 x)
-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 -23298017199368982832548000000000/13033352773350869092174451844127 (pow.f64 x 2))) 1000000000/23533438303)
(*.f64 -23298017199368982832548000000000/13033352773350869092174451844127 (pow.f64 x 2))
(+.f64 (.f64 168466327098500000000/553822718361107519809 x) (.f64 -23298017199368982832548000000000/13033352773350869092174451844127 (pow.f64 x 2)))
(-.f64 (+.f64 (.f64 168466327098500000000/553822718361107519809 x) (.f64 -23298017199368982832548000000000/13033352773350869092174451844127 (pow.f64 x 2))) 1000000000/23533438303)
(-.f64 (+.f64 (.f64 168466327098500000000/553822718361107519809 x) (.f64 -23298017199368982832548000000000/13033352773350869092174451844127 (pow.f64 x 2))) 1000000000/23533438303)
(*.f64 -23298017199368982832548000000000/13033352773350869092174451844127 (pow.f64 x 2))
(+.f64 (.f64 168466327098500000000/553822718361107519809 x) (.f64 -23298017199368982832548000000000/13033352773350869092174451844127 (pow.f64 x 2)))
(-.f64 (+.f64 (.f64 168466327098500000000/553822718361107519809 x) (.f64 -23298017199368982832548000000000/13033352773350869092174451844127 (pow.f64 x 2))) 1000000000/23533438303)
(-.f64 (+.f64 (.f64 168466327098500000000/553822718361107519809 x) (.f64 -23298017199368982832548000000000/13033352773350869092174451844127 (pow.f64 x 2))) 1000000000/23533438303)
168466327098500000000/553822718361107519809
(+.f64 (*.f64 -23298017199368982832548000000000/13033352773350869092174451844127 x) 168466327098500000000/553822718361107519809)
(+.f64 (*.f64 -23298017199368982832548000000000/13033352773350869092174451844127 x) 168466327098500000000/553822718361107519809)
(+.f64 (*.f64 -23298017199368982832548000000000/13033352773350869092174451844127 x) 168466327098500000000/553822718361107519809)
(*.f64 -23298017199368982832548000000000/13033352773350869092174451844127 x)
(+.f64 (*.f64 -23298017199368982832548000000000/13033352773350869092174451844127 x) 168466327098500000000/553822718361107519809)
(+.f64 (*.f64 -23298017199368982832548000000000/13033352773350869092174451844127 x) 168466327098500000000/553822718361107519809)
(+.f64 (*.f64 -23298017199368982832548000000000/13033352773350869092174451844127 x) 168466327098500000000/553822718361107519809)
(*.f64 -23298017199368982832548000000000/13033352773350869092174451844127 x)
(+.f64 (*.f64 -23298017199368982832548000000000/13033352773350869092174451844127 x) 168466327098500000000/553822718361107519809)
(+.f64 (*.f64 -23298017199368982832548000000000/13033352773350869092174451844127 x) 168466327098500000000/553822718361107519809)
(+.f64 (*.f64 -23298017199368982832548000000000/13033352773350869092174451844127 x) 168466327098500000000/553822718361107519809)

Outputs
(.f64 (-.f64 (.f64 (+.f64 (*.f64 -23298017199368982832548000000000/13033352773350869092174451844127 x) 168466327098500000000/553822718361107519809) x) 1000000000/23533438303) z)
(*.f64 (fma.f64 (fma.f64 -23298017199368982832548000000000/13033352773350869092174451844127 x 168466327098500000000/553822718361107519809) x -1000000000/23533438303) z)
(*.f64 (fma.f64 x (fma.f64 -23298017199368982832548000000000/13033352773350869092174451844127 x 168466327098500000000/553822718361107519809) -1000000000/23533438303) z)
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168466327098500000000/553822718361107519809
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(fma.f64 -23298017199368982832548000000000/13033352773350869092174451844127 x 168466327098500000000/553822718361107519809)
(+.f64 (*.f64 -23298017199368982832548000000000/13033352773350869092174451844127 x) 168466327098500000000/553822718361107519809)
(fma.f64 -23298017199368982832548000000000/13033352773350869092174451844127 x 168466327098500000000/553822718361107519809)
(*.f64 -23298017199368982832548000000000/13033352773350869092174451844127 x)
(+.f64 (*.f64 -23298017199368982832548000000000/13033352773350869092174451844127 x) 168466327098500000000/553822718361107519809)
(fma.f64 -23298017199368982832548000000000/13033352773350869092174451844127 x 168466327098500000000/553822718361107519809)
(+.f64 (*.f64 -23298017199368982832548000000000/13033352773350869092174451844127 x) 168466327098500000000/553822718361107519809)
(fma.f64 -23298017199368982832548000000000/13033352773350869092174451844127 x 168466327098500000000/553822718361107519809)
(+.f64 (*.f64 -23298017199368982832548000000000/13033352773350869092174451844127 x) 168466327098500000000/553822718361107519809)
(fma.f64 -23298017199368982832548000000000/13033352773350869092174451844127 x 168466327098500000000/553822718361107519809)
(*.f64 -23298017199368982832548000000000/13033352773350869092174451844127 x)
(+.f64 (*.f64 -23298017199368982832548000000000/13033352773350869092174451844127 x) 168466327098500000000/553822718361107519809)
(fma.f64 -23298017199368982832548000000000/13033352773350869092174451844127 x 168466327098500000000/553822718361107519809)
(+.f64 (*.f64 -23298017199368982832548000000000/13033352773350869092174451844127 x) 168466327098500000000/553822718361107519809)
(fma.f64 -23298017199368982832548000000000/13033352773350869092174451844127 x 168466327098500000000/553822718361107519809)
(+.f64 (*.f64 -23298017199368982832548000000000/13033352773350869092174451844127 x) 168466327098500000000/553822718361107519809)
(fma.f64 -23298017199368982832548000000000/13033352773350869092174451844127 x 168466327098500000000/553822718361107519809)

localize160.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(.f64 (+.f64 (.f64 (+.f64 (*.f64 x 104109730557/25000000000) 393497462077/5000000000) x) 4297481763/31250000) x)
	0.6b	(*.f64 x 104109730557/25000000000)
✓	7.5b	(+.f64 (*.f64 216700011257/5000000000 (pow.f64 x 2)) (pow.f64 x 3))
✓	25.5b	(/.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 216700011257/5000000000 (pow.f64 x 2)) (pow.f64 x 3)) 156699607947/500000000) x) 23533438303/500000000))

Compiler

Compiled 214 to 156 computations (27.1% saved)

series10.0ms (0%)

Counts

2 → 39

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	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 216700011257/5000000000 (pow.f64 x 2)) (pow.f64 x 3)) 156699607947/500000000) x) 23533438303/500000000))
1.0ms	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 216700011257/5000000000 (pow.f64 x 2)) (pow.f64 x 3)) 156699607947/500000000) x) 23533438303/500000000))
1.0ms	x	@	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 216700011257/5000000000 (pow.f64 x 2)) (pow.f64 x 3)) 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 216700011257/5000000000 (pow.f64 x 2)) (pow.f64 x 3)) 156699607947/500000000) x) 23533438303/500000000))
1.0ms	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 216700011257/5000000000 (pow.f64 x 2)) (pow.f64 x 3)) 156699607947/500000000) x) 23533438303/500000000))

rewrite84.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

359×	`add-sqr-sqrt_binary64`
343×	`pow1_binary64`
341×	`*-un-lft-identity_binary64`
340×	`add-log-exp_binary64`
340×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	54
1	718	54

Stop Event

1×	node limit

Counts

2 → 63

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 216700011257/5000000000 (pow.f64 x 2)) (pow.f64 x 3)) 156699607947/500000000) x) 23533438303/500000000))

(+.f64 (*.f64 216700011257/5000000000 (pow.f64 x 2)) (pow.f64 x 3))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x -2) (/.f64 (fma.f64 x (+.f64 (fma.f64 216700011257/5000000000 (*.f64 x x) (pow.f64 x 3)) 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 x (/.f64 (fma.f64 x (+.f64 (fma.f64 216700011257/5000000000 (*.f64 x x) (pow.f64 x 3)) 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 2 (/.f64 (fma.f64 x (+.f64 (fma.f64 216700011257/5000000000 (*.f64 x x) (pow.f64 x 3)) 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) (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 (+.f64 (fma.f64 216700011257/5000000000 (*.f64 x x) (pow.f64 x 3)) 156699607947/500000000) 23533438303/500000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 x -2) (/.f64 (fma.f64 x (+.f64 (fma.f64 216700011257/5000000000 (*.f64 x x) (pow.f64 x 3)) 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 (+.f64 (fma.f64 216700011257/5000000000 (*.f64 x x) (pow.f64 x 3)) 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 (+.f64 (fma.f64 216700011257/5000000000 (*.f64 x x) (pow.f64 x 3)) 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 (+.f64 (fma.f64 216700011257/5000000000 (*.f64 x x) (pow.f64 x 3)) 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 (+.f64 (fma.f64 216700011257/5000000000 (*.f64 x x) (pow.f64 x 3)) 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 (+.f64 (fma.f64 216700011257/5000000000 (*.f64 x x) (pow.f64 x 3)) 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 (+.f64 (fma.f64 216700011257/5000000000 (*.f64 x x) (pow.f64 x 3)) 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 (+.f64 (fma.f64 216700011257/5000000000 (*.f64 x x) (pow.f64 x 3)) 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 (+.f64 (fma.f64 216700011257/5000000000 (*.f64 x x) (pow.f64 x 3)) 156699607947/500000000) 23533438303/500000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x -2) (cbrt.f64 (pow.f64 (fma.f64 x (+.f64 (fma.f64 216700011257/5000000000 (*.f64 x x) (pow.f64 x 3)) 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 (+.f64 (fma.f64 216700011257/5000000000 (*.f64 x x) (pow.f64 x 3)) 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 (+.f64 (fma.f64 216700011257/5000000000 (*.f64 x x) (pow.f64 x 3)) 156699607947/500000000) 23533438303/500000000) 2))) (/.f64 (+.f64 x -2) (cbrt.f64 (fma.f64 x (+.f64 (fma.f64 216700011257/5000000000 (*.f64 x x) (pow.f64 x 3)) 156699607947/500000000) 23533438303/500000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 x (+.f64 (fma.f64 216700011257/5000000000 (*.f64 x x) (pow.f64 x 3)) 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 (+.f64 (fma.f64 216700011257/5000000000 (*.f64 x x) (pow.f64 x 3)) 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 (+.f64 (fma.f64 216700011257/5000000000 (*.f64 x x) (pow.f64 x 3)) 156699607947/500000000) 23533438303/500000000) 2))) (cbrt.f64 (/.f64 (+.f64 x -2) (/.f64 (fma.f64 x (+.f64 (fma.f64 216700011257/5000000000 (*.f64 x x) (pow.f64 x 3)) 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 (+.f64 (fma.f64 216700011257/5000000000 (*.f64 x x) (pow.f64 x 3)) 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 (+.f64 (fma.f64 216700011257/5000000000 (*.f64 x x) (pow.f64 x 3)) 156699607947/500000000) 23533438303/500000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x -2) (sqrt.f64 (fma.f64 x (+.f64 (fma.f64 216700011257/5000000000 (*.f64 x x) (pow.f64 x 3)) 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 (+.f64 (fma.f64 216700011257/5000000000 (*.f64 x x) (pow.f64 x 3)) 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 (+.f64 (fma.f64 216700011257/5000000000 (*.f64 x x) (pow.f64 x 3)) 156699607947/500000000) 23533438303/500000000))) (/.f64 (+.f64 x -2) (sqrt.f64 (fma.f64 x (+.f64 (fma.f64 216700011257/5000000000 (*.f64 x x) (pow.f64 x 3)) 156699607947/500000000) 23533438303/500000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (fma.f64 x (+.f64 (fma.f64 216700011257/5000000000 (*.f64 x x) (pow.f64 x 3)) 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 (+.f64 (fma.f64 216700011257/5000000000 (*.f64 x x) (pow.f64 x 3)) 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 (+.f64 (fma.f64 216700011257/5000000000 (*.f64 x x) (pow.f64 x 3)) 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 (+.f64 (fma.f64 216700011257/5000000000 (*.f64 x x) (pow.f64 x 3)) 156699607947/500000000) 23533438303/500000000))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x -2) (/.f64 (fma.f64 x (+.f64 (fma.f64 216700011257/5000000000 (*.f64 x x) (pow.f64 x 3)) 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 (+.f64 (fma.f64 216700011257/5000000000 (*.f64 x x) (pow.f64 x 3)) 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 (+.f64 (fma.f64 216700011257/5000000000 (*.f64 x x) (pow.f64 x 3)) 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 (+.f64 (fma.f64 216700011257/5000000000 (*.f64 x x) (pow.f64 x 3)) 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 (+.f64 (fma.f64 216700011257/5000000000 (*.f64 x x) (pow.f64 x 3)) 156699607947/500000000) 23533438303/500000000) (*.f64 (+.f64 x -2) (fma.f64 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 216700011257/5000000000 (*.f64 x x) (pow.f64 x 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 216700011257/5000000000 (*.f64 x x)) 2) (-.f64 (*.f64 216700011257/5000000000 (*.f64 x x)) (pow.f64 x 3))) (/.f64 (pow.f64 x 6) (-.f64 (*.f64 216700011257/5000000000 (*.f64 x x)) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 216700011257/5000000000 (*.f64 x x) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 216700011257/5000000000 (*.f64 x x) (pow.f64 x 3))) 2) (cbrt.f64 (fma.f64 216700011257/5000000000 (*.f64 x x) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 (*.f64 x (sqrt.f64 216700011257/5000000000)) (pow.f64 x 3/2)) (hypot.f64 (*.f64 x (sqrt.f64 216700011257/5000000000)) (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 x 6) 10175993048848756570705281387591593/125000000000000000000000000000) (pow.f64 x 9)) (+.f64 (pow.f64 (*.f64 216700011257/5000000000 (*.f64 x x)) 2) (-.f64 (pow.f64 x 6) (*.f64 (*.f64 216700011257/5000000000 (*.f64 x x)) (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 216700011257/5000000000 (*.f64 x x)) 2) (pow.f64 x 6)) (-.f64 (*.f64 216700011257/5000000000 (*.f64 x x)) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 x 6) 10175993048848756570705281387591593/125000000000000000000000000000) (pow.f64 x 9))) (neg.f64 (+.f64 (pow.f64 (*.f64 216700011257/5000000000 (*.f64 x x)) 2) (-.f64 (pow.f64 x 6) (*.f64 (*.f64 216700011257/5000000000 (*.f64 x x)) (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 216700011257/5000000000 (*.f64 x x)) 2) (pow.f64 x 6))) (neg.f64 (-.f64 (*.f64 216700011257/5000000000 (*.f64 x x)) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 216700011257/5000000000 (*.f64 x x) (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 216700011257/5000000000 (*.f64 x x) (pow.f64 x 3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 (*.f64 x (sqrt.f64 216700011257/5000000000)) (pow.f64 x 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 216700011257/5000000000 (*.f64 x x) (pow.f64 x 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 216700011257/5000000000 (*.f64 x x) (pow.f64 x 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 216700011257/5000000000 (*.f64 x x) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 216700011257/5000000000 (*.f64 x x) (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 216700011257/5000000000 (*.f64 x x) (pow.f64 x 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 216700011257/5000000000 (*.f64 x x) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 216700011257/5000000000 (*.f64 x x) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 216700011257/5000000000 (*.f64 x x) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 216700011257/5000000000 (*.f64 x x) (pow.f64 x 3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 x x) (*.f64 216700011257/5000000000 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 216700011257/5000000000 (*.f64 x x) (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) x (*.f64 216700011257/5000000000 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) 216700011257/5000000000 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 216700011257/5000000000 (*.f64 x x)) (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 x 3) (*.f64 216700011257/5000000000 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 216700011257/5000000000 (*.f64 x x))) 2) (cbrt.f64 (*.f64 216700011257/5000000000 (*.f64 x x))) (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 216700011257/5000000000)) (*.f64 x (sqrt.f64 216700011257/5000000000)) (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3/2) (pow.f64 x 3/2) (*.f64 216700011257/5000000000 (*.f64 x x)))))))

simplify84.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

838×	`distribute-rgt-in_binary64`
816×	`distribute-lft-in_binary64`
340×	`fma-def_binary64`
277×	`cancel-sign-sub-inv_binary64`
200×	`associate--r+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	108	2136
1	283	1929
2	794	1826
3	3167	1577

Stop Event

1×	node limit

Counts

102 → 100

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 (-.f64 (.f64 500000000/23533438303 (-.f64 y 4297481763/15625000)) (.f64 156699607947/23533438303 (-.f64 (.f64 500000000/23533438303 (+.f64 (.f64 -2 y) z)) (.f64 -156699607947000000000/553822718361107519809 z)))) (pow.f64 x 2)) (*.f64 -1000000000/23533438303 z)))
(+.f64 (.f64 (-.f64 (.f64 500000000/23533438303 (+.f64 (.f64 -2 y) z)) (.f64 -156699607947000000000/553822718361107519809 z)) x) (+.f64 (.f64 -1 (.f64 (+.f64 49698921037/117667191515 (+.f64 (.f64 -21670001125700000000/553822718361107519809 z) (.f64 156699607947/23533438303 (-.f64 (.f64 500000000/23533438303 (-.f64 y 4297481763/15625000)) (.f64 156699607947/23533438303 (-.f64 (.f64 500000000/23533438303 (+.f64 (.f64 -2 y) z)) (.f64 -156699607947000000000/553822718361107519809 z))))))) (pow.f64 x 3))) (+.f64 (.f64 (-.f64 (.f64 500000000/23533438303 (-.f64 y 4297481763/15625000)) (.f64 156699607947/23533438303 (-.f64 (.f64 500000000/23533438303 (+.f64 (.f64 -2 y) z)) (.f64 -156699607947000000000/553822718361107519809 z)))) (pow.f64 x 2)) (.f64 -1000000000/23533438303 z))))
(*.f64 104109730557/25000000000 x)
(-.f64 (*.f64 104109730557/25000000000 x) 13764240537310136880149/125000000000000000000)
(-.f64 (+.f64 (.f64 2970286349119912390428499159837293/625000000000000000000000000000 (/.f64 1 x)) (.f64 104109730557/25000000000 x)) 13764240537310136880149/125000000000000000000)
(-.f64 (+.f64 (.f64 2970286349119912390428499159837293/625000000000000000000000000000 (/.f64 1 x)) (+.f64 (/.f64 y (pow.f64 x 2)) (.f64 104109730557/25000000000 x))) (+.f64 13764240537310136880149/125000000000000000000 (*.f64 648599070133835873532829296990356435388407301/3125000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 2)))))
(*.f64 104109730557/25000000000 x)
(-.f64 (*.f64 104109730557/25000000000 x) 13764240537310136880149/125000000000000000000)
(-.f64 (+.f64 (.f64 2970286349119912390428499159837293/625000000000000000000000000000 (/.f64 1 x)) (.f64 104109730557/25000000000 x)) 13764240537310136880149/125000000000000000000)
(-.f64 (+.f64 (.f64 2970286349119912390428499159837293/625000000000000000000000000000 (/.f64 1 x)) (+.f64 (.f64 104109730557/25000000000 x) (.f64 -1 (/.f64 (+.f64 648599070133835873532829296990356435388407301/3125000000000000000000000000000000000000 (.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 23533438303/500000000 (.f64 x (+.f64 (.f64 216700011257/5000000000 (pow.f64 x 2)) (+.f64 156699607947/500000000 (pow.f64 x 3))))))
(+.f64 (/.f64 (.f64 y (.f64 x (-.f64 x 2))) (+.f64 23533438303/500000000 (.f64 x (+.f64 (.f64 216700011257/5000000000 (pow.f64 x 2)) (+.f64 156699607947/500000000 (pow.f64 x 3)))))) (/.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 23533438303/500000000 (.f64 x (+.f64 (.f64 216700011257/5000000000 (pow.f64 x 2)) (+.f64 156699607947/500000000 (pow.f64 x 3)))))))
(+.f64 (/.f64 (.f64 y (.f64 x (-.f64 x 2))) (+.f64 23533438303/500000000 (.f64 x (+.f64 (.f64 216700011257/5000000000 (pow.f64 x 2)) (+.f64 156699607947/500000000 (pow.f64 x 3)))))) (/.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 23533438303/500000000 (.f64 x (+.f64 (.f64 216700011257/5000000000 (pow.f64 x 2)) (+.f64 156699607947/500000000 (pow.f64 x 3)))))))
(+.f64 (/.f64 (.f64 y (.f64 x (-.f64 x 2))) (+.f64 23533438303/500000000 (.f64 x (+.f64 (.f64 216700011257/5000000000 (pow.f64 x 2)) (+.f64 156699607947/500000000 (pow.f64 x 3)))))) (/.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 23533438303/500000000 (.f64 x (+.f64 (.f64 216700011257/5000000000 (pow.f64 x 2)) (+.f64 156699607947/500000000 (pow.f64 x 3)))))))
(/.f64 (.f64 y (.f64 (-.f64 x 2) x)) (+.f64 23533438303/500000000 (.f64 x (+.f64 (.f64 216700011257/5000000000 (pow.f64 x 2)) (+.f64 156699607947/500000000 (pow.f64 x 3))))))
(+.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 23533438303/500000000 (.f64 x (+.f64 (.f64 216700011257/5000000000 (pow.f64 x 2)) (+.f64 156699607947/500000000 (pow.f64 x 3)))))) (/.f64 (.f64 y (.f64 x (-.f64 x 2))) (+.f64 23533438303/500000000 (.f64 x (+.f64 (.f64 216700011257/5000000000 (pow.f64 x 2)) (+.f64 156699607947/500000000 (pow.f64 x 3)))))))
(+.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 23533438303/500000000 (.f64 x (+.f64 (.f64 216700011257/5000000000 (pow.f64 x 2)) (+.f64 156699607947/500000000 (pow.f64 x 3)))))) (/.f64 (.f64 y (.f64 x (-.f64 x 2))) (+.f64 23533438303/500000000 (.f64 x (+.f64 (.f64 216700011257/5000000000 (pow.f64 x 2)) (+.f64 156699607947/500000000 (pow.f64 x 3)))))))
(+.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 23533438303/500000000 (.f64 x (+.f64 (.f64 216700011257/5000000000 (pow.f64 x 2)) (+.f64 156699607947/500000000 (pow.f64 x 3)))))) (/.f64 (.f64 y (.f64 x (-.f64 x 2))) (+.f64 23533438303/500000000 (.f64 x (+.f64 (.f64 216700011257/5000000000 (pow.f64 x 2)) (+.f64 156699607947/500000000 (pow.f64 x 3)))))))
(/.f64 (.f64 y (.f64 x (-.f64 x 2))) (+.f64 23533438303/500000000 (.f64 x (+.f64 (.f64 216700011257/5000000000 (pow.f64 x 2)) (+.f64 156699607947/500000000 (pow.f64 x 3))))))
(+.f64 (/.f64 (.f64 y (.f64 (-.f64 x 2) x)) (+.f64 23533438303/500000000 (.f64 x (+.f64 (.f64 216700011257/5000000000 (pow.f64 x 2)) (+.f64 156699607947/500000000 (pow.f64 x 3)))))) (/.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 23533438303/500000000 (.f64 x (+.f64 (.f64 216700011257/5000000000 (pow.f64 x 2)) (+.f64 156699607947/500000000 (pow.f64 x 3)))))))
(+.f64 (/.f64 (.f64 y (.f64 (-.f64 x 2) x)) (+.f64 23533438303/500000000 (.f64 x (+.f64 (.f64 216700011257/5000000000 (pow.f64 x 2)) (+.f64 156699607947/500000000 (pow.f64 x 3)))))) (/.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 23533438303/500000000 (.f64 x (+.f64 (.f64 216700011257/5000000000 (pow.f64 x 2)) (+.f64 156699607947/500000000 (pow.f64 x 3)))))))
(+.f64 (/.f64 (.f64 y (.f64 (-.f64 x 2) x)) (+.f64 23533438303/500000000 (.f64 x (+.f64 (.f64 216700011257/5000000000 (pow.f64 x 2)) (+.f64 156699607947/500000000 (pow.f64 x 3)))))) (/.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 23533438303/500000000 (.f64 x (+.f64 (.f64 216700011257/5000000000 (pow.f64 x 2)) (+.f64 156699607947/500000000 (pow.f64 x 3)))))))
(/.f64 (.f64 (+.f64 (.f64 (+.f64 4297481763/31250000 (.f64 (+.f64 393497462077/5000000000 (.f64 104109730557/25000000000 x)) x)) x) y) (.f64 (-.f64 x 2) x)) (+.f64 23533438303/500000000 (.f64 x (+.f64 (*.f64 216700011257/5000000000 (pow.f64 x 2)) (+.f64 156699607947/500000000 (pow.f64 x 3))))))
(+.f64 (.f64 z (-.f64 (/.f64 x (+.f64 23533438303/500000000 (.f64 x (+.f64 (.f64 216700011257/5000000000 (pow.f64 x 2)) (+.f64 156699607947/500000000 (pow.f64 x 3)))))) (.f64 2 (/.f64 1 (+.f64 23533438303/500000000 (.f64 x (+.f64 (.f64 216700011257/5000000000 (pow.f64 x 2)) (+.f64 156699607947/500000000 (pow.f64 x 3))))))))) (/.f64 (.f64 (+.f64 (.f64 (+.f64 4297481763/31250000 (.f64 (+.f64 393497462077/5000000000 (.f64 104109730557/25000000000 x)) x)) x) y) (.f64 x (-.f64 x 2))) (+.f64 23533438303/500000000 (.f64 x (+.f64 (*.f64 216700011257/5000000000 (pow.f64 x 2)) (+.f64 156699607947/500000000 (pow.f64 x 3)))))))
(+.f64 (.f64 z (-.f64 (/.f64 x (+.f64 23533438303/500000000 (.f64 x (+.f64 (.f64 216700011257/5000000000 (pow.f64 x 2)) (+.f64 156699607947/500000000 (pow.f64 x 3)))))) (.f64 2 (/.f64 1 (+.f64 23533438303/500000000 (.f64 x (+.f64 (.f64 216700011257/5000000000 (pow.f64 x 2)) (+.f64 156699607947/500000000 (pow.f64 x 3))))))))) (/.f64 (.f64 (+.f64 (.f64 (+.f64 4297481763/31250000 (.f64 (+.f64 393497462077/5000000000 (.f64 104109730557/25000000000 x)) x)) x) y) (.f64 x (-.f64 x 2))) (+.f64 23533438303/500000000 (.f64 x (+.f64 (*.f64 216700011257/5000000000 (pow.f64 x 2)) (+.f64 156699607947/500000000 (pow.f64 x 3)))))))
(+.f64 (.f64 z (-.f64 (/.f64 x (+.f64 23533438303/500000000 (.f64 x (+.f64 (.f64 216700011257/5000000000 (pow.f64 x 2)) (+.f64 156699607947/500000000 (pow.f64 x 3)))))) (.f64 2 (/.f64 1 (+.f64 23533438303/500000000 (.f64 x (+.f64 (.f64 216700011257/5000000000 (pow.f64 x 2)) (+.f64 156699607947/500000000 (pow.f64 x 3))))))))) (/.f64 (.f64 (+.f64 (.f64 (+.f64 4297481763/31250000 (.f64 (+.f64 393497462077/5000000000 (.f64 104109730557/25000000000 x)) x)) x) y) (.f64 x (-.f64 x 2))) (+.f64 23533438303/500000000 (.f64 x (+.f64 (*.f64 216700011257/5000000000 (pow.f64 x 2)) (+.f64 156699607947/500000000 (pow.f64 x 3)))))))
(/.f64 (.f64 z (-.f64 x 2)) (+.f64 23533438303/500000000 (.f64 x (+.f64 (*.f64 216700011257/5000000000 (pow.f64 x 2)) (+.f64 156699607947/500000000 (pow.f64 x 3))))))
(+.f64 (/.f64 (.f64 z (-.f64 x 2)) (+.f64 23533438303/500000000 (.f64 x (+.f64 (.f64 216700011257/5000000000 (pow.f64 x 2)) (+.f64 156699607947/500000000 (pow.f64 x 3)))))) (/.f64 (.f64 (+.f64 (.f64 (+.f64 4297481763/31250000 (.f64 (+.f64 393497462077/5000000000 (.f64 104109730557/25000000000 x)) x)) x) y) (.f64 x (-.f64 x 2))) (+.f64 23533438303/500000000 (.f64 x (+.f64 (.f64 216700011257/5000000000 (pow.f64 x 2)) (+.f64 156699607947/500000000 (pow.f64 x 3)))))))
(+.f64 (/.f64 (.f64 z (-.f64 x 2)) (+.f64 23533438303/500000000 (.f64 x (+.f64 (.f64 216700011257/5000000000 (pow.f64 x 2)) (+.f64 156699607947/500000000 (pow.f64 x 3)))))) (/.f64 (.f64 (+.f64 (.f64 (+.f64 4297481763/31250000 (.f64 (+.f64 393497462077/5000000000 (.f64 104109730557/25000000000 x)) x)) x) y) (.f64 x (-.f64 x 2))) (+.f64 23533438303/500000000 (.f64 x (+.f64 (.f64 216700011257/5000000000 (pow.f64 x 2)) (+.f64 156699607947/500000000 (pow.f64 x 3)))))))
(+.f64 (/.f64 (.f64 z (-.f64 x 2)) (+.f64 23533438303/500000000 (.f64 x (+.f64 (.f64 216700011257/5000000000 (pow.f64 x 2)) (+.f64 156699607947/500000000 (pow.f64 x 3)))))) (/.f64 (.f64 (+.f64 (.f64 (+.f64 4297481763/31250000 (.f64 (+.f64 393497462077/5000000000 (.f64 104109730557/25000000000 x)) x)) x) y) (.f64 x (-.f64 x 2))) (+.f64 23533438303/500000000 (.f64 x (+.f64 (.f64 216700011257/5000000000 (pow.f64 x 2)) (+.f64 156699607947/500000000 (pow.f64 x 3)))))))
(/.f64 (.f64 z (-.f64 x 2)) (+.f64 23533438303/500000000 (.f64 x (+.f64 (*.f64 216700011257/5000000000 (pow.f64 x 2)) (+.f64 156699607947/500000000 (pow.f64 x 3))))))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 (+.f64 4297481763/31250000 (.f64 (+.f64 393497462077/5000000000 (.f64 104109730557/25000000000 x)) x)) x) y) (.f64 (-.f64 x 2) x)) (+.f64 23533438303/500000000 (.f64 x (+.f64 (.f64 216700011257/5000000000 (pow.f64 x 2)) (+.f64 156699607947/500000000 (pow.f64 x 3)))))) (/.f64 (.f64 z (-.f64 x 2)) (+.f64 23533438303/500000000 (.f64 x (+.f64 (.f64 216700011257/5000000000 (pow.f64 x 2)) (+.f64 156699607947/500000000 (pow.f64 x 3)))))))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 (+.f64 4297481763/31250000 (.f64 (+.f64 393497462077/5000000000 (.f64 104109730557/25000000000 x)) x)) x) y) (.f64 (-.f64 x 2) x)) (+.f64 23533438303/500000000 (.f64 x (+.f64 (.f64 216700011257/5000000000 (pow.f64 x 2)) (+.f64 156699607947/500000000 (pow.f64 x 3)))))) (/.f64 (.f64 z (-.f64 x 2)) (+.f64 23533438303/500000000 (.f64 x (+.f64 (.f64 216700011257/5000000000 (pow.f64 x 2)) (+.f64 156699607947/500000000 (pow.f64 x 3)))))))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 (+.f64 4297481763/31250000 (.f64 (+.f64 393497462077/5000000000 (.f64 104109730557/25000000000 x)) x)) x) y) (.f64 (-.f64 x 2) x)) (+.f64 23533438303/500000000 (.f64 x (+.f64 (.f64 216700011257/5000000000 (pow.f64 x 2)) (+.f64 156699607947/500000000 (pow.f64 x 3)))))) (/.f64 (.f64 z (-.f64 x 2)) (+.f64 23533438303/500000000 (.f64 x (+.f64 (.f64 216700011257/5000000000 (pow.f64 x 2)) (+.f64 156699607947/500000000 (pow.f64 x 3)))))))
(*.f64 216700011257/5000000000 (pow.f64 x 2))
(pow.f64 x 3)
(pow.f64 x 3)

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 (-.f64 (.f64 500000000/23533438303 (-.f64 y 4297481763/15625000)) (.f64 156699607947/23533438303 (-.f64 (.f64 500000000/23533438303 (+.f64 (.f64 -2 y) z)) (.f64 -156699607947000000000/553822718361107519809 z)))) (pow.f64 x 2)) (*.f64 -1000000000/23533438303 z)))
(fma.f64 (fma.f64 500000000/23533438303 (fma.f64 -2 y z) (neg.f64 (.f64 z -156699607947000000000/553822718361107519809))) x (fma.f64 (+.f64 (.f64 500000000/23533438303 (+.f64 y -4297481763/15625000)) (.f64 -156699607947/23533438303 (fma.f64 500000000/23533438303 (fma.f64 -2 y z) (neg.f64 (.f64 z -156699607947000000000/553822718361107519809))))) (.f64 x x) (.f64 -1000000000/23533438303 z)))
(fma.f64 (fma.f64 500000000/23533438303 (fma.f64 -2 y z) (.f64 z 156699607947000000000/553822718361107519809)) x (fma.f64 (fma.f64 500000000/23533438303 (+.f64 y -4297481763/15625000) (.f64 (fma.f64 500000000/23533438303 (fma.f64 -2 y z) (.f64 z 156699607947000000000/553822718361107519809)) -156699607947/23533438303)) (.f64 x x) (*.f64 -1000000000/23533438303 z)))
(fma.f64 -1000000000/23533438303 z (.f64 x (+.f64 (.f64 x (fma.f64 (fma.f64 -1000000000/23533438303 y (.f64 z 168466327098500000000/553822718361107519809)) -156699607947/23533438303 (fma.f64 500000000/23533438303 y -137519416416/23533438303))) (fma.f64 -1000000000/23533438303 y (.f64 z 168466327098500000000/553822718361107519809)))))
(fma.f64 -1000000000/23533438303 z (.f64 x (+.f64 (fma.f64 -1000000000/23533438303 y (.f64 z 168466327098500000000/553822718361107519809)) (.f64 x (fma.f64 (fma.f64 -1000000000/23533438303 y (.f64 z 168466327098500000000/553822718361107519809)) -156699607947/23533438303 (fma.f64 500000000/23533438303 y -137519416416/23533438303))))))
(+.f64 (.f64 (-.f64 (.f64 500000000/23533438303 (+.f64 (.f64 -2 y) z)) (.f64 -156699607947000000000/553822718361107519809 z)) x) (+.f64 (.f64 -1 (.f64 (+.f64 49698921037/117667191515 (+.f64 (.f64 -21670001125700000000/553822718361107519809 z) (.f64 156699607947/23533438303 (-.f64 (.f64 500000000/23533438303 (-.f64 y 4297481763/15625000)) (.f64 156699607947/23533438303 (-.f64 (.f64 500000000/23533438303 (+.f64 (.f64 -2 y) z)) (.f64 -156699607947000000000/553822718361107519809 z))))))) (pow.f64 x 3))) (+.f64 (.f64 (-.f64 (.f64 500000000/23533438303 (-.f64 y 4297481763/15625000)) (.f64 156699607947/23533438303 (-.f64 (.f64 500000000/23533438303 (+.f64 (.f64 -2 y) z)) (.f64 -156699607947000000000/553822718361107519809 z)))) (pow.f64 x 2)) (.f64 -1000000000/23533438303 z))))
(fma.f64 (fma.f64 500000000/23533438303 (fma.f64 -2 y z) (neg.f64 (.f64 z -156699607947000000000/553822718361107519809))) x (fma.f64 -1 (.f64 (+.f64 49698921037/117667191515 (fma.f64 -21670001125700000000/553822718361107519809 z (.f64 156699607947/23533438303 (+.f64 (.f64 500000000/23533438303 (+.f64 y -4297481763/15625000)) (.f64 -156699607947/23533438303 (fma.f64 500000000/23533438303 (fma.f64 -2 y z) (neg.f64 (.f64 z -156699607947000000000/553822718361107519809)))))))) (pow.f64 x 3)) (fma.f64 (+.f64 (.f64 500000000/23533438303 (+.f64 y -4297481763/15625000)) (.f64 -156699607947/23533438303 (fma.f64 500000000/23533438303 (fma.f64 -2 y z) (neg.f64 (.f64 z -156699607947000000000/553822718361107519809))))) (.f64 x x) (*.f64 -1000000000/23533438303 z))))
(fma.f64 (fma.f64 500000000/23533438303 (fma.f64 -2 y z) (.f64 z 156699607947000000000/553822718361107519809)) x (fma.f64 (neg.f64 (+.f64 49698921037/117667191515 (fma.f64 156699607947/23533438303 (fma.f64 500000000/23533438303 (+.f64 y -4297481763/15625000) (.f64 (fma.f64 500000000/23533438303 (fma.f64 -2 y z) (.f64 z 156699607947000000000/553822718361107519809)) -156699607947/23533438303)) (.f64 z -21670001125700000000/553822718361107519809)))) (pow.f64 x 3) (fma.f64 (fma.f64 500000000/23533438303 (+.f64 y -4297481763/15625000) (.f64 (fma.f64 500000000/23533438303 (fma.f64 -2 y z) (.f64 z 156699607947000000000/553822718361107519809)) -156699607947/23533438303)) (.f64 x x) (.f64 -1000000000/23533438303 z))))
(fma.f64 (fma.f64 z -21670001125700000000/553822718361107519809 (fma.f64 156699607947/23533438303 (fma.f64 (fma.f64 -1000000000/23533438303 y (.f64 z 168466327098500000000/553822718361107519809)) -156699607947/23533438303 (fma.f64 500000000/23533438303 y -137519416416/23533438303)) 49698921037/117667191515)) (neg.f64 (pow.f64 x 3)) (fma.f64 -1000000000/23533438303 z (.f64 x (+.f64 (.f64 x (fma.f64 (fma.f64 -1000000000/23533438303 y (.f64 z 168466327098500000000/553822718361107519809)) -156699607947/23533438303 (fma.f64 500000000/23533438303 y -137519416416/23533438303))) (fma.f64 -1000000000/23533438303 y (*.f64 z 168466327098500000000/553822718361107519809))))))
(fma.f64 (fma.f64 -1000000000/23533438303 y (.f64 z 168466327098500000000/553822718361107519809)) x (fma.f64 -1000000000/23533438303 z (.f64 (.f64 x x) (-.f64 (fma.f64 (fma.f64 -1000000000/23533438303 y (.f64 z 168466327098500000000/553822718361107519809)) -156699607947/23533438303 (fma.f64 500000000/23533438303 y -137519416416/23533438303)) (.f64 x (fma.f64 z -21670001125700000000/553822718361107519809 (fma.f64 156699607947/23533438303 (fma.f64 (fma.f64 -1000000000/23533438303 y (.f64 z 168466327098500000000/553822718361107519809)) -156699607947/23533438303 (fma.f64 500000000/23533438303 y -137519416416/23533438303)) 49698921037/117667191515)))))))
(*.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 2970286349119912390428499159837293/625000000000000000000000000000 (/.f64 1 x)) (.f64 104109730557/25000000000 x)) 13764240537310136880149/125000000000000000000)
(+.f64 (/.f64 2970286349119912390428499159837293/625000000000000000000000000000 x) (fma.f64 104109730557/25000000000 x -13764240537310136880149/125000000000000000000))
(+.f64 (fma.f64 x 104109730557/25000000000 -13764240537310136880149/125000000000000000000) (/.f64 2970286349119912390428499159837293/625000000000000000000000000000 x))
(+.f64 (fma.f64 x 104109730557/25000000000 (/.f64 2970286349119912390428499159837293/625000000000000000000000000000 x)) -13764240537310136880149/125000000000000000000)
(fma.f64 x 104109730557/25000000000 (+.f64 (/.f64 2970286349119912390428499159837293/625000000000000000000000000000 x) -13764240537310136880149/125000000000000000000))
(-.f64 (+.f64 (.f64 2970286349119912390428499159837293/625000000000000000000000000000 (/.f64 1 x)) (+.f64 (/.f64 y (pow.f64 x 2)) (.f64 104109730557/25000000000 x))) (+.f64 13764240537310136880149/125000000000000000000 (*.f64 648599070133835873532829296990356435388407301/3125000000000000000000000000000000000000 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 2970286349119912390428499159837293/625000000000000000000000000000 x) (-.f64 (+.f64 (.f64 x 104109730557/25000000000) (/.f64 y (.f64 x x))) (+.f64 13764240537310136880149/125000000000000000000 (/.f64 648599070133835873532829296990356435388407301/3125000000000000000000000000000000000000 (*.f64 x x)))))
(+.f64 (/.f64 2970286349119912390428499159837293/625000000000000000000000000000 x) (-.f64 (fma.f64 x 104109730557/25000000000 (/.f64 (/.f64 y x) x)) (+.f64 13764240537310136880149/125000000000000000000 (/.f64 648599070133835873532829296990356435388407301/3125000000000000000000000000000000000000 (*.f64 x x)))))
(+.f64 (/.f64 2970286349119912390428499159837293/625000000000000000000000000000 x) (+.f64 (fma.f64 x 104109730557/25000000000 (/.f64 y (.f64 x x))) (+.f64 -13764240537310136880149/125000000000000000000 (/.f64 -648599070133835873532829296990356435388407301/3125000000000000000000000000000000000000 (.f64 x x)))))
(neg.f64 (+.f64 13764240537310136880149/125000000000000000000 (-.f64 (/.f64 (-.f64 648599070133835873532829296990356435388407301/3125000000000000000000000000000000000000 y) (*.f64 x x)) (fma.f64 x 104109730557/25000000000 (/.f64 2970286349119912390428499159837293/625000000000000000000000000000 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 2970286349119912390428499159837293/625000000000000000000000000000 (/.f64 1 x)) (.f64 104109730557/25000000000 x)) 13764240537310136880149/125000000000000000000)
(+.f64 (/.f64 2970286349119912390428499159837293/625000000000000000000000000000 x) (fma.f64 104109730557/25000000000 x -13764240537310136880149/125000000000000000000))
(+.f64 (fma.f64 x 104109730557/25000000000 -13764240537310136880149/125000000000000000000) (/.f64 2970286349119912390428499159837293/625000000000000000000000000000 x))
(+.f64 (fma.f64 x 104109730557/25000000000 (/.f64 2970286349119912390428499159837293/625000000000000000000000000000 x)) -13764240537310136880149/125000000000000000000)
(fma.f64 x 104109730557/25000000000 (+.f64 (/.f64 2970286349119912390428499159837293/625000000000000000000000000000 x) -13764240537310136880149/125000000000000000000))
(-.f64 (+.f64 (.f64 2970286349119912390428499159837293/625000000000000000000000000000 (/.f64 1 x)) (+.f64 (.f64 104109730557/25000000000 x) (.f64 -1 (/.f64 (+.f64 648599070133835873532829296990356435388407301/3125000000000000000000000000000000000000 (.f64 -1 y)) (pow.f64 x 2))))) 13764240537310136880149/125000000000000000000)
(+.f64 (/.f64 2970286349119912390428499159837293/625000000000000000000000000000 x) (-.f64 (fma.f64 104109730557/25000000000 x (neg.f64 (/.f64 (+.f64 648599070133835873532829296990356435388407301/3125000000000000000000000000000000000000 (neg.f64 y)) (*.f64 x x)))) 13764240537310136880149/125000000000000000000))
(+.f64 (-.f64 (fma.f64 x 104109730557/25000000000 (/.f64 2970286349119912390428499159837293/625000000000000000000000000000 x)) (/.f64 (-.f64 648599070133835873532829296990356435388407301/3125000000000000000000000000000000000000 y) (*.f64 x x))) -13764240537310136880149/125000000000000000000)
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(.f64 (+.f64 -2 x) (+.f64 (.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000) y) (fma.f64 x (+.f64 156699607947/500000000 (.f64 x (.f64 x (+.f64 x 216700011257/5000000000)))) 23533438303/500000000)) x) (/.f64 z (fma.f64 x (+.f64 156699607947/500000000 (.f64 x (.f64 x (+.f64 x 216700011257/5000000000)))) 23533438303/500000000))))
(*.f64 216700011257/5000000000 (pow.f64 x 2))
(.f64 (.f64 x x) 216700011257/5000000000)
(.f64 x (.f64 x 216700011257/5000000000))
(pow.f64 x 3)
(pow.f64 x 3)

eval1.7s (6.9%)

Compiler: Compiled 20430 to 14432 computations (29.4% saved)

prune190.0ms (0.8%)

Pruning

47 alts after pruning (42 fresh and 5 done)

	Pruned	Kept	Total
New	636	12	648
Fresh	4	30	34
Picked	1	0	1
Done	2	5	7
Total	643	47	690

Error

Counts

690 → 47

Alt Table

Click to see full alt table

Status	Error	Program
	42.0b	(.f64 (-.f64 (.f64 (+.f64 (*.f64 -23298017199368982832548000000000/13033352773350869092174451844127 x) 168466327098500000000/553822718361107519809) x) 1000000000/23533438303) z)
	52.1b	(/.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 x 263505074721/1000000000)) x) 23533438303/500000000))
	39.8b	(.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)))
✓	35.2b	(*.f64 x 104109730557/25000000000)
	35.8b	(fma.f64 (pow.f64 (cbrt.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x))) 2) (.f64 (cbrt.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x))) (+.f64 x -2)) (/.f64 (.f64 (+.f64 x -2) (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 x)) x))
	52.2b	(/.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) 104109730557/25000000000) 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))
✓	49.4b	(/.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))
	47.4b	(pow.f64 (cbrt.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 104109730557/25000000000 x 393497462077/5000000000) 4297481763/31250000) y) (/.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))))) 3)
	54.3b	(.f64 x (.f64 -1000000000/23533438303 y))
✓	26.4b	(/.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))
	55.3b	(cbrt.f64 (*.f64 1128428295162862690821234941118693/15625000000000000000000000000000 (pow.f64 x 3)))
	35.0b	(*.f64 (+.f64 x -2) 104109730557/25000000000)
	27.6b	(/.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 (pow.f64 x 3) 156699607947/500000000) x) 23533438303/500000000))
✓	24.7b	(.f64 (+.f64 x -2) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (/.f64 (+.f64 (pow.f64 (.f64 x 104109730557/25000000000) 3) 60929246449480706651316240921050533/125000000000000000000000000000) (+.f64 (.f64 (.f64 x 104109730557/25000000000) (.f64 x 104109730557/25000000000)) (-.f64 154840252661040053153929/25000000000000000000 (.f64 x 40966914751699795586889/125000000000000000000)))) 4297481763/31250000) y) z) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))
	56.3b	(cbrt.f64 (pow.f64 (*.f64 (+.f64 x -2) (+.f64 104109730557/25000000000 (fma.f64 2157218858562374472887084159837293/625000000000000000000000000000 (pow.f64 x -2) (/.f64 -12723143231740136880149/125000000000000000000 x)))) 3))
	31.0b	(*.f64 (+.f64 x -2) (/.f64 (fma.f64 x y z) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))
	56.3b	(/.f64 (+.f64 (pow.f64 (.f64 (+.f64 x -2) (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x))) 3) (pow.f64 (/.f64 (.f64 (+.f64 x -2) (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 x)) x) 3)) (fma.f64 (.f64 (+.f64 x -2) (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x))) (.f64 (+.f64 x -2) (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x))) (-.f64 (.f64 (/.f64 (.f64 (+.f64 x -2) (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 x)) x) (/.f64 (.f64 (+.f64 x -2) (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 x)) x)) (.f64 (.f64 (+.f64 x -2) (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x))) (/.f64 (.f64 (+.f64 x -2) (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 x)) x)))))
	51.7b	(/.f64 (.f64 (+.f64 (.f64 x 4297481763/31250000) 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))
	52.2b	(.f64 x (+.f64 (.f64 -1000000000/23533438303 y) (.f64 x (+.f64 -137519416416/23533438303 (.f64 y 168466327098500000000/553822718361107519809)))))
	54.6b	(.f64 y (.f64 x (fma.f64 x 168466327098500000000/553822718361107519809 -1000000000/23533438303)))
	30.9b	(/.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 x 263505074721/1000000000) 156699607947/500000000) x) 23533438303/500000000))
	41.8b	(.f64 z (-.f64 (.f64 168466327098500000000/553822718361107519809 x) 1000000000/23533438303))
	41.8b	(+.f64 (.f64 168466327098500000000/553822718361107519809 (.f64 z x)) (*.f64 -1000000000/23533438303 z))
	41.8b	(.f64 (+.f64 x -2) (.f64 500000000/23533438303 z))
▶	54.3b	(.f64 -1000000000/23533438303 (.f64 y x))
	53.9b	(.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)))
	57.8b	(/.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)))
▶	26.4b	(+.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)))
	49.1b	(fma.f64 (.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (sqrt.f64 (+.f64 x -2))) (sqrt.f64 (+.f64 x -2)) (/.f64 (.f64 (+.f64 x -2) (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 x)) x))
	49.4b	(/.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 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000))) x) 23533438303/500000000))
▶	48.5b	(pow.f64 (sqrt.f64 (*.f64 x 104109730557/25000000000)) 2)
	26.4b	(/.f64 (.f64 (-.f64 x 2) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (pow.f64 (cbrt.f64 (.f64 x 104109730557/25000000000)) 3) 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))
	36.0b	(fma.f64 (.f64 (+.f64 x -2) (sqrt.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)))) (sqrt.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x))) (/.f64 (.f64 (+.f64 x -2) (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 x)) x))
▶	24.7b	(.f64 (+.f64 x -2) (+.f64 (/.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 z (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000))))
	52.0b	(/.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 x (+.f64 263505074721/1000000000 (.f64 x 216700011257/5000000000)))) x) 23533438303/500000000))
	52.2b	(.f64 x (+.f64 (.f64 -1000000000/23533438303 y) (*.f64 x -137519416416/23533438303)))
	36.0b	(.f64 (+.f64 x -2) (+.f64 (/.f64 (-.f64 (/.f64 161878373695374854434910217844194695190262201/15625000000000000000000000000000000000000 (.f64 x x)) 10838835996651139530249/625000000000000000000) (-.f64 (/.f64 -12723143231740136880149/125000000000000000000 x) 104109730557/25000000000)) (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (*.f64 x x))))
	35.0b	(+.f64 (fma.f64 x 104109730557/25000000000 -13764240537310136880149/125000000000000000000) (-.f64 (/.f64 2970286349119912390428499159837293/625000000000000000000000000000 x) (/.f64 (-.f64 648599070133835873532829296990356435388407301/3125000000000000000000000000000000000000 y) (*.f64 x x))))
	62.3b	(.f64 z (.f64 x (*.f64 -23298017199368982832548000000000/13033352773350869092174451844127 x)))
	36.1b	(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x -2)) 2) (.f64 (cbrt.f64 (+.f64 x -2)) (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x))) (/.f64 (.f64 (+.f64 x -2) (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 x)) x))
	53.6b	(.f64 (/.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)) y)
✓	41.6b	(*.f64 z -1000000000/23533438303)
	39.5b	(+.f64 (.f64 (-.f64 (.f64 z 500000000/23533438303) (.f64 -156699607947000000000/553822718361107519809 z)) x) (+.f64 (.f64 -1000000000/23533438303 z) (.f64 (.f64 x x) (-.f64 -137519416416/23533438303 (*.f64 z 23298017199368982832548000000000/13033352773350869092174451844127)))))
	28.9b	(/.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))
▶	33.7b	(+.f64 (.f64 (-.f64 (.f64 500000000/23533438303 (+.f64 (.f64 -2 y) z)) (.f64 -156699607947000000000/553822718361107519809 z)) x) (*.f64 -1000000000/23533438303 z))
	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 (fma.f64 (.f64 x x) x (.f64 216700011257/5000000000 (*.f64 x x))) 156699607947/500000000) x) 23533438303/500000000))
	35.4b	(pow.f64 (cbrt.f64 (*.f64 x 104109730557/25000000000)) 3)

Compiler

Compiled 2326 to 1741 computations (25.2% saved)

localize163.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)
	0.6b	(*.f64 104109730557/25000000000 x)
✓	2.2b	(/.f64 z (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000))
✓	23.9b	(/.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))

Compiler

Compiled 293 to 209 computations (28.7% saved)

series10.0ms (0%)

Counts

2 → 40

Calls

12 calls:

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

rewrite79.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

322×	`add-sqr-sqrt_binary64`
307×	`*-un-lft-identity_binary64`
307×	`pow1_binary64`
303×	`add-exp-log_binary64`
303×	`add-log-exp_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	65
1	632	53

Stop Event

1×	node limit

Counts

2 → 70

Calls

Call 1

Inputs

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 104109730557/25000000000 x 393497462077/5000000000) 4297481763/31250000) y) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (fma.f64 x (fma.f64 104109730557/25000000000 x 393497462077/5000000000) 4297481763/31250000) y) (/.f64 1 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 104109730557/25000000000 x 393497462077/5000000000) 4297481763/31250000) 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 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(+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))) (/.f64 (cbrt.f64 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 z (+.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000)) 3) 13033352773350869092174451844127/125000000000000000000000000)) (+.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000)) 2) (-.f64 553822718361107519809/250000000000000000 (*.f64 (*.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 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x (+.f64 x 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156699607947/500000000) 23533438303/500000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.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 exp.f64 (*.f64 (log.f64 (/.f64 z (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))) 1))))))

simplify123.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

708×	`fma-neg_binary64`
583×	`fma-def_binary64`
263×	`associate-+l+_binary64`
239×	`sub-neg_binary64`
235×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	146	1390
1	391	1234
2	1239	1173
3	5087	1131

Stop Event

1×	node limit

Counts

110 → 109

Calls

Call 1

Inputs
(.f64 500000000/23533438303 (.f64 y x))
(+.f64 (.f64 500000000/23533438303 (.f64 y x)) (.f64 (-.f64 68759708208/23533438303 (.f64 78349803973500000000/553822718361107519809 y)) (pow.f64 x 2)))
(+.f64 (.f64 500000000/23533438303 (.f64 y x)) (+.f64 (.f64 (-.f64 393497462077/235334383030 (+.f64 (.f64 65876268680250000000/553822718361107519809 y) (.f64 156699607947/23533438303 (-.f64 68759708208/23533438303 (.f64 78349803973500000000/553822718361107519809 y))))) (pow.f64 x 3)) (.f64 (-.f64 68759708208/23533438303 (.f64 78349803973500000000/553822718361107519809 y)) (pow.f64 x 2))))
(+.f64 (.f64 (-.f64 104109730557/1176671915150 (+.f64 (.f64 156699607947/23533438303 (-.f64 393497462077/235334383030 (+.f64 (.f64 65876268680250000000/553822718361107519809 y) (.f64 156699607947/23533438303 (-.f64 68759708208/23533438303 (.f64 78349803973500000000/553822718361107519809 y)))))) (+.f64 (.f64 10835000562850000000/553822718361107519809 y) (.f64 263505074721/47066876606 (-.f64 68759708208/23533438303 (.f64 78349803973500000000/553822718361107519809 y)))))) (pow.f64 x 4)) (+.f64 (.f64 500000000/23533438303 (.f64 y x)) (+.f64 (.f64 (-.f64 393497462077/235334383030 (+.f64 (.f64 65876268680250000000/553822718361107519809 y) (.f64 156699607947/23533438303 (-.f64 68759708208/23533438303 (.f64 78349803973500000000/553822718361107519809 y))))) (pow.f64 x 3)) (.f64 (-.f64 68759708208/23533438303 (.f64 78349803973500000000/553822718361107519809 y)) (pow.f64 x 2)))))
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 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 (/.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 y (pow.f64 x 3)) (.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 4297481763/31250000 (.f64 (+.f64 393497462077/5000000000 (.f64 104109730557/25000000000 x)) x)) (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 4297481763/31250000 (.f64 (+.f64 393497462077/5000000000 (.f64 104109730557/25000000000 x)) x)) (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 y x) (+.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)) (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 y x) (+.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)) (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 y x) (+.f64 23533438303/500000000 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 (.f64 (+.f64 216700011257/5000000000 x) x) 263505074721/1000000000) x)) x))))
(/.f64 (.f64 y x) (+.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)) (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 y x) (+.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)) (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 y x) (+.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)) (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 y x) (+.f64 23533438303/500000000 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 (.f64 (+.f64 216700011257/5000000000 x) x) 263505074721/1000000000) x)) x))))
(/.f64 (.f64 y x) (+.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)) (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 y x) (+.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)) (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 y x) (+.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)) (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 y x) (+.f64 23533438303/500000000 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 (.f64 (+.f64 216700011257/5000000000 x) x) 263505074721/1000000000) x)) x))))
(/.f64 z (+.f64 23533438303/500000000 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 (*.f64 (+.f64 216700011257/5000000000 x) x) 263505074721/1000000000) x)) x)))
(/.f64 z (+.f64 23533438303/500000000 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 (*.f64 (+.f64 216700011257/5000000000 x) x) 263505074721/1000000000) x)) x)))
(/.f64 z (+.f64 23533438303/500000000 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 (*.f64 (+.f64 216700011257/5000000000 x) x) 263505074721/1000000000) x)) x)))
(/.f64 z (+.f64 23533438303/500000000 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 (*.f64 (+.f64 216700011257/5000000000 x) x) 263505074721/1000000000) x)) x)))
(*.f64 500000000/23533438303 z)
(+.f64 (.f64 500000000/23533438303 z) (.f64 -78349803973500000000/553822718361107519809 (*.f64 z x)))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -12277383565371752777404500000000/13033352773350869092174451844127 z) (.f64 65876268680250000000/553822718361107519809 z)) (pow.f64 x 2))) (+.f64 (.f64 500000000/23533438303 z) (.f64 -78349803973500000000/553822718361107519809 (*.f64 z x))))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -10322785475206410101946750000000/13033352773350869092174451844127 z) (+.f64 (.f64 10835000562850000000/553822718361107519809 z) (.f64 -156699607947/23533438303 (+.f64 (.f64 -12277383565371752777404500000000/13033352773350869092174451844127 z) (.f64 65876268680250000000/553822718361107519809 z))))) (pow.f64 x 3))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -12277383565371752777404500000000/13033352773350869092174451844127 z) (.f64 65876268680250000000/553822718361107519809 z)) (pow.f64 x 2))) (+.f64 (.f64 500000000/23533438303 z) (.f64 -78349803973500000000/553822718361107519809 (.f64 z x)))))
(/.f64 z (pow.f64 x 4))
(+.f64 (*.f64 -216700011257/5000000000 (/.f64 z (pow.f64 x 5))) (/.f64 z (pow.f64 x 4)))
(+.f64 (.f64 -216700011257/5000000000 (/.f64 z (pow.f64 x 5))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -46958894878783926720049/25000000000000000000 z) (.f64 263505074721/1000000000 z)) (pow.f64 x 6))) (/.f64 z (pow.f64 x 4))))
(+.f64 (.f64 -216700011257/5000000000 (/.f64 z (pow.f64 x 5))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -46958894878783926720049/25000000000000000000 z) (.f64 263505074721/1000000000 z)) (pow.f64 x 6))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 156699607947/500000000 z) (+.f64 (.f64 -216700011257/5000000000 (+.f64 (.f64 -46958894878783926720049/25000000000000000000 z) (.f64 263505074721/1000000000 z))) (.f64 -57101552658317326134297/5000000000000000000 z))) (pow.f64 x 7))) (/.f64 z (pow.f64 x 4)))))
(/.f64 z (pow.f64 x 4))
(+.f64 (*.f64 -216700011257/5000000000 (/.f64 z (pow.f64 x 5))) (/.f64 z (pow.f64 x 4)))
(+.f64 (.f64 -216700011257/5000000000 (/.f64 z (pow.f64 x 5))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -46958894878783926720049/25000000000000000000 z) (.f64 263505074721/1000000000 z)) (pow.f64 x 6))) (/.f64 z (pow.f64 x 4))))
(+.f64 (.f64 -216700011257/5000000000 (/.f64 z (pow.f64 x 5))) (+.f64 (.f64 -156699607947/500000000 (/.f64 z (pow.f64 x 7))) (+.f64 (.f64 216700011257/5000000000 (/.f64 (+.f64 (.f64 -46958894878783926720049/25000000000000000000 z) (.f64 263505074721/1000000000 z)) (pow.f64 x 7))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -46958894878783926720049/25000000000000000000 z) (.f64 263505074721/1000000000 z)) (pow.f64 x 6))) (+.f64 (*.f64 57101552658317326134297/5000000000000000000 (/.f64 z (pow.f64 x 7))) (/.f64 z (pow.f64 x 4)))))))

Outputs
(.f64 500000000/23533438303 (.f64 y x))
(.f64 (.f64 500000000/23533438303 x) y)
(+.f64 (.f64 500000000/23533438303 (.f64 y x)) (.f64 (-.f64 68759708208/23533438303 (.f64 78349803973500000000/553822718361107519809 y)) (pow.f64 x 2)))
(fma.f64 500000000/23533438303 (.f64 y x) (.f64 (-.f64 68759708208/23533438303 (.f64 y 78349803973500000000/553822718361107519809)) (.f64 x x)))
(fma.f64 (+.f64 68759708208/23533438303 (.f64 y -78349803973500000000/553822718361107519809)) (.f64 x x) (.f64 (.f64 500000000/23533438303 x) y))
(.f64 x (+.f64 (.f64 500000000/23533438303 y) (*.f64 x (fma.f64 y -78349803973500000000/553822718361107519809 68759708208/23533438303))))
(+.f64 (.f64 500000000/23533438303 (.f64 y x)) (+.f64 (.f64 (-.f64 393497462077/235334383030 (+.f64 (.f64 65876268680250000000/553822718361107519809 y) (.f64 156699607947/23533438303 (-.f64 68759708208/23533438303 (.f64 78349803973500000000/553822718361107519809 y))))) (pow.f64 x 3)) (.f64 (-.f64 68759708208/23533438303 (.f64 78349803973500000000/553822718361107519809 y)) (pow.f64 x 2))))
(fma.f64 500000000/23533438303 (.f64 y x) (fma.f64 (-.f64 393497462077/235334383030 (fma.f64 65876268680250000000/553822718361107519809 y (.f64 (-.f64 68759708208/23533438303 (.f64 y 78349803973500000000/553822718361107519809)) 156699607947/23533438303))) (pow.f64 x 3) (.f64 (-.f64 68759708208/23533438303 (.f64 y 78349803973500000000/553822718361107519809)) (.f64 x x))))
(fma.f64 500000000/23533438303 (.f64 y x) (fma.f64 (-.f64 393497462077/235334383030 (fma.f64 y 65876268680250000000/553822718361107519809 (+.f64 10774619318743717928976/553822718361107519809 (.f64 (.f64 y -78349803973500000000/553822718361107519809) 156699607947/23533438303)))) (pow.f64 x 3) (.f64 x (.f64 x (+.f64 68759708208/23533438303 (.f64 y -78349803973500000000/553822718361107519809))))))
(fma.f64 500000000/23533438303 (.f64 y x) (.f64 (.f64 x x) (+.f64 (fma.f64 y -78349803973500000000/553822718361107519809 68759708208/23533438303) (.f64 x (+.f64 (-.f64 -98485844941261017554429/5538227183611075198090 (.f64 y -12277383565371752777404500000000/13033352773350869092174451844127)) (.f64 y -65876268680250000000/553822718361107519809))))))
(.f64 x (+.f64 (.f64 500000000/23533438303 y) (.f64 x (+.f64 (fma.f64 y -78349803973500000000/553822718361107519809 68759708208/23533438303) (.f64 x (-.f64 393497462077/235334383030 (+.f64 10774619318743717928976/553822718361107519809 (*.f64 y -10727088460753238167788750000000/13033352773350869092174451844127))))))))
(+.f64 (.f64 (-.f64 104109730557/1176671915150 (+.f64 (.f64 156699607947/23533438303 (-.f64 393497462077/235334383030 (+.f64 (.f64 65876268680250000000/553822718361107519809 y) (.f64 156699607947/23533438303 (-.f64 68759708208/23533438303 (.f64 78349803973500000000/553822718361107519809 y)))))) (+.f64 (.f64 10835000562850000000/553822718361107519809 y) (.f64 263505074721/47066876606 (-.f64 68759708208/23533438303 (.f64 78349803973500000000/553822718361107519809 y)))))) (pow.f64 x 4)) (+.f64 (.f64 500000000/23533438303 (.f64 y x)) (+.f64 (.f64 (-.f64 393497462077/235334383030 (+.f64 (.f64 65876268680250000000/553822718361107519809 y) (.f64 156699607947/23533438303 (-.f64 68759708208/23533438303 (.f64 78349803973500000000/553822718361107519809 y))))) (pow.f64 x 3)) (.f64 (-.f64 68759708208/23533438303 (.f64 78349803973500000000/553822718361107519809 y)) (pow.f64 x 2)))))
(fma.f64 (-.f64 104109730557/1176671915150 (fma.f64 156699607947/23533438303 (-.f64 393497462077/235334383030 (fma.f64 65876268680250000000/553822718361107519809 y (.f64 (-.f64 68759708208/23533438303 (.f64 y 78349803973500000000/553822718361107519809)) 156699607947/23533438303))) (fma.f64 10835000562850000000/553822718361107519809 y (.f64 (-.f64 68759708208/23533438303 (.f64 y 78349803973500000000/553822718361107519809)) 263505074721/47066876606)))) (pow.f64 x 4) (fma.f64 500000000/23533438303 (.f64 y x) (fma.f64 (-.f64 393497462077/235334383030 (fma.f64 65876268680250000000/553822718361107519809 y (.f64 (-.f64 68759708208/23533438303 (.f64 y 78349803973500000000/553822718361107519809)) 156699607947/23533438303))) (pow.f64 x 3) (.f64 (-.f64 68759708208/23533438303 (.f64 y 78349803973500000000/553822718361107519809)) (.f64 x x)))))
(fma.f64 (-.f64 104109730557/1176671915150 (fma.f64 156699607947/23533438303 (-.f64 393497462077/235334383030 (fma.f64 y 65876268680250000000/553822718361107519809 (+.f64 10774619318743717928976/553822718361107519809 (.f64 (.f64 y -78349803973500000000/553822718361107519809) 156699607947/23533438303)))) (fma.f64 y 10835000562850000000/553822718361107519809 (+.f64 9059266024571598504984/553822718361107519809 (.f64 (.f64 y -78349803973500000000/553822718361107519809) 263505074721/47066876606))))) (pow.f64 x 4) (fma.f64 500000000/23533438303 (.f64 y x) (fma.f64 (-.f64 393497462077/235334383030 (fma.f64 y 65876268680250000000/553822718361107519809 (+.f64 10774619318743717928976/553822718361107519809 (.f64 (.f64 y -78349803973500000000/553822718361107519809) 156699607947/23533438303)))) (pow.f64 x 3) (.f64 x (.f64 x (+.f64 68759708208/23533438303 (.f64 y -78349803973500000000/553822718361107519809)))))))
(fma.f64 (-.f64 104109730557/1176671915150 (fma.f64 156699607947/23533438303 (+.f64 (-.f64 -98485844941261017554429/5538227183611075198090 (.f64 y -12277383565371752777404500000000/13033352773350869092174451844127)) (.f64 y -65876268680250000000/553822718361107519809)) (fma.f64 y 10835000562850000000/553822718361107519809 (+.f64 9059266024571598504984/553822718361107519809 (.f64 y -10322785475206410101946750000000/13033352773350869092174451844127))))) (pow.f64 x 4) (fma.f64 500000000/23533438303 (.f64 y x) (.f64 (.f64 x x) (+.f64 (fma.f64 y -78349803973500000000/553822718361107519809 68759708208/23533438303) (.f64 x (+.f64 (-.f64 -98485844941261017554429/5538227183611075198090 (.f64 y -12277383565371752777404500000000/13033352773350869092174451844127)) (*.f64 y -65876268680250000000/553822718361107519809)))))))
(fma.f64 (-.f64 (+.f64 -152927215128610944152412/13845567959027687995225 (.f64 156699607947/23533438303 (+.f64 10774619318743717928976/553822718361107519809 (.f64 y -10727088460753238167788750000000/13033352773350869092174451844127)))) (+.f64 9059266024571598504984/553822718361107519809 (.f64 y -10067800657947609353103200000000/13033352773350869092174451844127))) (pow.f64 x 4) (.f64 x (+.f64 (.f64 500000000/23533438303 y) (.f64 x (+.f64 (fma.f64 y -78349803973500000000/553822718361107519809 68759708208/23533438303) (.f64 x (-.f64 393497462077/235334383030 (+.f64 10774619318743717928976/553822718361107519809 (.f64 y -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 104109730557/25000000000 (-.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (*.f64 x x)) (/.f64 12723143231740136880149/125000000000000000000 x)))
(+.f64 104109730557/25000000000 (+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (*.f64 x x)) (/.f64 -12723143231740136880149/125000000000000000000 x)))
(-.f64 (+.f64 104109730557/25000000000 (+.f64 (/.f64 y (pow.f64 x 3)) (.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 104109730557/25000000000 (-.f64 (+.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 104109730557/25000000000 (+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (*.f64 x x)) (-.f64 (/.f64 y (pow.f64 x 3)) (+.f64 (/.f64 12723143231740136880149/125000000000000000000 x) (/.f64 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 (pow.f64 x 3))))))
(+.f64 (/.f64 -12723143231740136880149/125000000000000000000 x) (+.f64 104109730557/25000000000 (+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (*.f64 x x)) (-.f64 (/.f64 y (pow.f64 x 3)) (/.f64 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 (pow.f64 x 3))))))
(+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (*.f64 x x)) (+.f64 (+.f64 (+.f64 (/.f64 y (pow.f64 x 3)) (/.f64 -12723143231740136880149/125000000000000000000 x)) (/.f64 -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 (pow.f64 x 3))) 104109730557/25000000000))
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 104109730557/25000000000 (-.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (*.f64 x x)) (/.f64 12723143231740136880149/125000000000000000000 x)))
(+.f64 104109730557/25000000000 (+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (*.f64 x x)) (/.f64 -12723143231740136880149/125000000000000000000 x)))
(-.f64 (+.f64 104109730557/25000000000 (+.f64 (/.f64 y (pow.f64 x 3)) (.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 104109730557/25000000000 (-.f64 (+.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 104109730557/25000000000 (+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (*.f64 x x)) (-.f64 (/.f64 y (pow.f64 x 3)) (+.f64 (/.f64 12723143231740136880149/125000000000000000000 x) (/.f64 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 (pow.f64 x 3))))))
(+.f64 (/.f64 -12723143231740136880149/125000000000000000000 x) (+.f64 104109730557/25000000000 (+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (*.f64 x x)) (-.f64 (/.f64 y (pow.f64 x 3)) (/.f64 387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 (pow.f64 x 3))))))
(+.f64 (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (*.f64 x x)) (+.f64 (+.f64 (+.f64 (/.f64 y (pow.f64 x 3)) (/.f64 -12723143231740136880149/125000000000000000000 x)) (/.f64 -387732519225574910908939577061312055388407301/3125000000000000000000000000000000000000 (pow.f64 x 3))) 104109730557/25000000000))
(/.f64 (.f64 (+.f64 4297481763/31250000 (.f64 (+.f64 393497462077/5000000000 (.f64 104109730557/25000000000 x)) x)) (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 4297481763/31250000 (.f64 x (+.f64 393497462077/5000000000 (.f64 x 104109730557/25000000000)))) (/.f64 (+.f64 23533438303/500000000 (.f64 x (+.f64 156699607947/500000000 (.f64 x (fma.f64 (+.f64 x 216700011257/5000000000) x 263505074721/1000000000))))) (*.f64 x x)))
(.f64 (/.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 x x))
(.f64 (.f64 x x) (/.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 4297481763/31250000 (.f64 (+.f64 393497462077/5000000000 (.f64 104109730557/25000000000 x)) x)) (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 y x) (+.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 393497462077/5000000000 (.f64 x 104109730557/25000000000)))) (/.f64 (+.f64 23533438303/500000000 (.f64 x (+.f64 156699607947/500000000 (.f64 x (fma.f64 (+.f64 x 216700011257/5000000000) x 263505074721/1000000000))))) (.f64 x x))) (/.f64 (.f64 y x) (+.f64 23533438303/500000000 (.f64 x (+.f64 156699607947/500000000 (.f64 x (fma.f64 (+.f64 x 216700011257/5000000000) x 263505074721/1000000000)))))))
(+.f64 (.f64 (/.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 x x)) (*.f64 (/.f64 y (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) x))
(fma.f64 (/.f64 y (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) x (.f64 (.f64 x x) (/.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 x (+.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) x)) (/.f64 y (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))))
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(+.f64 (.f64 (/.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 x x)) (*.f64 (/.f64 y (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) x))
(fma.f64 (/.f64 y (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)) x (.f64 (.f64 x x) (/.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 x (+.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) x)) (/.f64 y (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))))
(/.f64 z (+.f64 23533438303/500000000 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 (*.f64 (+.f64 216700011257/5000000000 x) x) 263505074721/1000000000) x)) x)))
(/.f64 z (+.f64 23533438303/500000000 (.f64 x (+.f64 156699607947/500000000 (.f64 x (fma.f64 (+.f64 x 216700011257/5000000000) x 263505074721/1000000000))))))
(/.f64 z (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))
(/.f64 z (+.f64 23533438303/500000000 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 (*.f64 (+.f64 216700011257/5000000000 x) x) 263505074721/1000000000) x)) x)))
(/.f64 z (+.f64 23533438303/500000000 (.f64 x (+.f64 156699607947/500000000 (.f64 x (fma.f64 (+.f64 x 216700011257/5000000000) x 263505074721/1000000000))))))
(/.f64 z (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))
(/.f64 z (+.f64 23533438303/500000000 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 (*.f64 (+.f64 216700011257/5000000000 x) x) 263505074721/1000000000) x)) x)))
(/.f64 z (+.f64 23533438303/500000000 (.f64 x (+.f64 156699607947/500000000 (.f64 x (fma.f64 (+.f64 x 216700011257/5000000000) x 263505074721/1000000000))))))
(/.f64 z (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))
(/.f64 z (+.f64 23533438303/500000000 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 (*.f64 (+.f64 216700011257/5000000000 x) x) 263505074721/1000000000) x)) x)))
(/.f64 z (+.f64 23533438303/500000000 (.f64 x (+.f64 156699607947/500000000 (.f64 x (fma.f64 (+.f64 x 216700011257/5000000000) x 263505074721/1000000000))))))
(/.f64 z (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))
(*.f64 500000000/23533438303 z)
(+.f64 (.f64 500000000/23533438303 z) (.f64 -78349803973500000000/553822718361107519809 (*.f64 z x)))
(fma.f64 500000000/23533438303 z (.f64 -78349803973500000000/553822718361107519809 (.f64 x z)))
(fma.f64 500000000/23533438303 z (.f64 x (.f64 z -78349803973500000000/553822718361107519809)))
(.f64 z (+.f64 500000000/23533438303 (.f64 x -78349803973500000000/553822718361107519809)))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -12277383565371752777404500000000/13033352773350869092174451844127 z) (.f64 65876268680250000000/553822718361107519809 z)) (pow.f64 x 2))) (+.f64 (.f64 500000000/23533438303 z) (.f64 -78349803973500000000/553822718361107519809 (*.f64 z x))))
(fma.f64 -1 (.f64 (.f64 x x) (.f64 z -10727088460753238167788750000000/13033352773350869092174451844127)) (fma.f64 500000000/23533438303 z (.f64 -78349803973500000000/553822718361107519809 (*.f64 x z))))
(-.f64 (fma.f64 500000000/23533438303 z (.f64 x (.f64 z -78349803973500000000/553822718361107519809))) (.f64 x (.f64 x (*.f64 z -10727088460753238167788750000000/13033352773350869092174451844127))))
(fma.f64 500000000/23533438303 z (.f64 x (+.f64 (.f64 x (.f64 z 10727088460753238167788750000000/13033352773350869092174451844127)) (.f64 z -78349803973500000000/553822718361107519809))))
(.f64 z (-.f64 (+.f64 500000000/23533438303 (.f64 x -78349803973500000000/553822718361107519809)) (.f64 (.f64 x x) -10727088460753238167788750000000/13033352773350869092174451844127)))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -10322785475206410101946750000000/13033352773350869092174451844127 z) (+.f64 (.f64 10835000562850000000/553822718361107519809 z) (.f64 -156699607947/23533438303 (+.f64 (.f64 -12277383565371752777404500000000/13033352773350869092174451844127 z) (.f64 65876268680250000000/553822718361107519809 z))))) (pow.f64 x 3))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -12277383565371752777404500000000/13033352773350869092174451844127 z) (.f64 65876268680250000000/553822718361107519809 z)) (pow.f64 x 2))) (+.f64 (.f64 500000000/23533438303 z) (.f64 -78349803973500000000/553822718361107519809 (.f64 z x)))))
(fma.f64 -1 (.f64 (pow.f64 x 3) (fma.f64 -10322785475206410101946750000000/13033352773350869092174451844127 z (fma.f64 10835000562850000000/553822718361107519809 z (.f64 (.f64 z -10727088460753238167788750000000/13033352773350869092174451844127) -156699607947/23533438303)))) (fma.f64 -1 (.f64 (.f64 x x) (.f64 z -10727088460753238167788750000000/13033352773350869092174451844127)) (fma.f64 500000000/23533438303 z (.f64 -78349803973500000000/553822718361107519809 (.f64 x z)))))
(-.f64 (-.f64 (fma.f64 500000000/23533438303 z (.f64 x (.f64 z -78349803973500000000/553822718361107519809))) (.f64 x (.f64 x (.f64 z -10727088460753238167788750000000/13033352773350869092174451844127)))) (.f64 (pow.f64 x 3) (+.f64 (.f64 z 1680930556212820117203213728917196250000000/306719603372886620352117082586607327396481) (.f64 z -10067800657947609353103200000000/13033352773350869092174451844127))))
(-.f64 (.f64 z (+.f64 500000000/23533438303 (.f64 x -78349803973500000000/553822718361107519809))) (.f64 (.f64 x x) (+.f64 (.f64 x (.f64 z 1444000590582107245885613830125326650000000/306719603372886620352117082586607327396481)) (*.f64 z -10727088460753238167788750000000/13033352773350869092174451844127))))
(fma.f64 z (+.f64 500000000/23533438303 (.f64 x -78349803973500000000/553822718361107519809)) (.f64 (.f64 x x) (fma.f64 x (.f64 z -1444000590582107245885613830125326650000000/306719603372886620352117082586607327396481) (*.f64 z 10727088460753238167788750000000/13033352773350869092174451844127))))
(/.f64 z (pow.f64 x 4))
(+.f64 (*.f64 -216700011257/5000000000 (/.f64 z (pow.f64 x 5))) (/.f64 z (pow.f64 x 4)))
(fma.f64 -216700011257/5000000000 (/.f64 z (pow.f64 x 5)) (/.f64 z (pow.f64 x 4)))
(+.f64 (.f64 -216700011257/5000000000 (/.f64 z (pow.f64 x 5))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -46958894878783926720049/25000000000000000000 z) (.f64 263505074721/1000000000 z)) (pow.f64 x 6))) (/.f64 z (pow.f64 x 4))))
(fma.f64 -216700011257/5000000000 (/.f64 z (pow.f64 x 5)) (fma.f64 -1 (/.f64 (*.f64 z -40371268010758926720049/25000000000000000000) (pow.f64 x 6)) (/.f64 z (pow.f64 x 4))))
(fma.f64 -216700011257/5000000000 (/.f64 z (pow.f64 x 5)) (-.f64 (/.f64 z (pow.f64 x 4)) (/.f64 z (/.f64 (pow.f64 x 6) -40371268010758926720049/25000000000000000000))))
(+.f64 (/.f64 z (pow.f64 x 4)) (fma.f64 -216700011257/5000000000 (/.f64 z (pow.f64 x 5)) (/.f64 (*.f64 z 40371268010758926720049/25000000000000000000) (pow.f64 x 6))))
(+.f64 (/.f64 z (pow.f64 x 4)) (fma.f64 (/.f64 -216700011257/5000000000 (pow.f64 x 5)) z (/.f64 (*.f64 z 40371268010758926720049/25000000000000000000) (pow.f64 x 6))))
(+.f64 (.f64 -216700011257/5000000000 (/.f64 z (pow.f64 x 5))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -46958894878783926720049/25000000000000000000 z) (.f64 263505074721/1000000000 z)) (pow.f64 x 6))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 156699607947/500000000 z) (+.f64 (.f64 -216700011257/5000000000 (+.f64 (.f64 -46958894878783926720049/25000000000000000000 z) (.f64 263505074721/1000000000 z))) (.f64 -57101552658317326134297/5000000000000000000 z))) (pow.f64 x 7))) (/.f64 z (pow.f64 x 4)))))
(fma.f64 -216700011257/5000000000 (/.f64 z (pow.f64 x 5)) (fma.f64 -1 (/.f64 (.f64 z -40371268010758926720049/25000000000000000000) (pow.f64 x 6)) (fma.f64 -1 (/.f64 (fma.f64 156699607947/500000000 z (fma.f64 -216700011257/5000000000 (.f64 z -40371268010758926720049/25000000000000000000) (*.f64 z -57101552658317326134297/5000000000000000000))) (pow.f64 x 7)) (/.f64 z (pow.f64 x 4)))))
(fma.f64 -216700011257/5000000000 (/.f64 z (pow.f64 x 5)) (-.f64 (-.f64 (/.f64 z (pow.f64 x 4)) (/.f64 (fma.f64 156699607947/500000000 z (fma.f64 z -57101552658317326134297/5000000000000000000 (*.f64 z 8748454232390823417347856387591593/125000000000000000000000000000))) (pow.f64 x 7))) (/.f64 z (/.f64 (pow.f64 x 6) -40371268010758926720049/25000000000000000000))))
(+.f64 (/.f64 z (pow.f64 x 4)) (-.f64 (fma.f64 -216700011257/5000000000 (/.f64 z (pow.f64 x 5)) (/.f64 (.f64 z 40371268010758926720049/25000000000000000000) (pow.f64 x 6))) (/.f64 (fma.f64 156699607947/500000000 z (.f64 z 7320915415932890263990431387591593/125000000000000000000000000000)) (pow.f64 x 7))))
(+.f64 (/.f64 z (pow.f64 x 4)) (-.f64 (fma.f64 (/.f64 -216700011257/5000000000 (pow.f64 x 5)) z (/.f64 (.f64 z 40371268010758926720049/25000000000000000000) (pow.f64 x 6))) (/.f64 (.f64 z 7360090317919640263990431387591593/125000000000000000000000000000) (pow.f64 x 7))))
(/.f64 z (pow.f64 x 4))
(+.f64 (*.f64 -216700011257/5000000000 (/.f64 z (pow.f64 x 5))) (/.f64 z (pow.f64 x 4)))
(fma.f64 -216700011257/5000000000 (/.f64 z (pow.f64 x 5)) (/.f64 z (pow.f64 x 4)))
(+.f64 (.f64 -216700011257/5000000000 (/.f64 z (pow.f64 x 5))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -46958894878783926720049/25000000000000000000 z) (.f64 263505074721/1000000000 z)) (pow.f64 x 6))) (/.f64 z (pow.f64 x 4))))
(fma.f64 -216700011257/5000000000 (/.f64 z (pow.f64 x 5)) (fma.f64 -1 (/.f64 (*.f64 z -40371268010758926720049/25000000000000000000) (pow.f64 x 6)) (/.f64 z (pow.f64 x 4))))
(fma.f64 -216700011257/5000000000 (/.f64 z (pow.f64 x 5)) (-.f64 (/.f64 z (pow.f64 x 4)) (/.f64 z (/.f64 (pow.f64 x 6) -40371268010758926720049/25000000000000000000))))
(+.f64 (/.f64 z (pow.f64 x 4)) (fma.f64 -216700011257/5000000000 (/.f64 z (pow.f64 x 5)) (/.f64 (*.f64 z 40371268010758926720049/25000000000000000000) (pow.f64 x 6))))
(+.f64 (/.f64 z (pow.f64 x 4)) (fma.f64 (/.f64 -216700011257/5000000000 (pow.f64 x 5)) z (/.f64 (*.f64 z 40371268010758926720049/25000000000000000000) (pow.f64 x 6))))
(+.f64 (.f64 -216700011257/5000000000 (/.f64 z (pow.f64 x 5))) (+.f64 (.f64 -156699607947/500000000 (/.f64 z (pow.f64 x 7))) (+.f64 (.f64 216700011257/5000000000 (/.f64 (+.f64 (.f64 -46958894878783926720049/25000000000000000000 z) (.f64 263505074721/1000000000 z)) (pow.f64 x 7))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -46958894878783926720049/25000000000000000000 z) (.f64 263505074721/1000000000 z)) (pow.f64 x 6))) (+.f64 (*.f64 57101552658317326134297/5000000000000000000 (/.f64 z (pow.f64 x 7))) (/.f64 z (pow.f64 x 4)))))))
(fma.f64 -216700011257/5000000000 (/.f64 z (pow.f64 x 5)) (fma.f64 -156699607947/500000000 (/.f64 z (pow.f64 x 7)) (fma.f64 216700011257/5000000000 (/.f64 (.f64 z -40371268010758926720049/25000000000000000000) (pow.f64 x 7)) (fma.f64 -1 (/.f64 (.f64 z -40371268010758926720049/25000000000000000000) (pow.f64 x 6)) (fma.f64 57101552658317326134297/5000000000000000000 (/.f64 z (pow.f64 x 7)) (/.f64 z (pow.f64 x 4)))))))
(fma.f64 -216700011257/5000000000 (/.f64 z (pow.f64 x 5)) (fma.f64 -156699607947/500000000 (/.f64 z (pow.f64 x 7)) (fma.f64 216700011257/5000000000 (/.f64 z (/.f64 (pow.f64 x 7) -40371268010758926720049/25000000000000000000)) (-.f64 (fma.f64 (/.f64 z (pow.f64 x 7)) 57101552658317326134297/5000000000000000000 (/.f64 z (pow.f64 x 4))) (/.f64 z (/.f64 (pow.f64 x 6) -40371268010758926720049/25000000000000000000))))))
(+.f64 (fma.f64 (/.f64 z (pow.f64 x 7)) 57101552658317326134297/5000000000000000000 (/.f64 z (pow.f64 x 4))) (+.f64 (fma.f64 -216700011257/5000000000 (/.f64 z (pow.f64 x 5)) (fma.f64 -156699607947/500000000 (/.f64 z (pow.f64 x 7)) (/.f64 (.f64 z -8748454232390823417347856387591593/125000000000000000000000000000) (pow.f64 x 7)))) (/.f64 (.f64 z 40371268010758926720049/25000000000000000000) (pow.f64 x 6))))
(+.f64 (+.f64 (/.f64 (.f64 z -8748454232390823417347856387591593/125000000000000000000000000000) (pow.f64 x 7)) (+.f64 (/.f64 z (pow.f64 x 4)) (.f64 (/.f64 z (pow.f64 x 7)) 55534556578847326134297/5000000000000000000))) (fma.f64 (/.f64 -216700011257/5000000000 (pow.f64 x 5)) z (/.f64 (*.f64 z 40371268010758926720049/25000000000000000000) (pow.f64 x 6))))

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 -1000000000/23533438303 (.f64 y x))

Compiler

Compiled 14 to 7 computations (50% saved)

series63.0ms (0.3%)

Counts

1 → 0

Calls

6 calls:

Time	Variable		Point	Expression
60.0ms	y	@	inf	(.f64 -1000000000/23533438303 (.f64 y x))
1.0ms	y	@	0	(.f64 -1000000000/23533438303 (.f64 y x))
1.0ms	x	@	inf	(.f64 -1000000000/23533438303 (.f64 y x))
1.0ms	x	@	0	(.f64 -1000000000/23533438303 (.f64 y x))
1.0ms	y	@	-inf	(.f64 -1000000000/23533438303 (.f64 y x))

rewrite58.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

555×	`pow1_binary64`
513×	`add-log-exp_binary64`
513×	`log1p-expm1-u_binary64`
513×	`expm1-log1p-u_binary64`
503×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	121	7
2	1396	7

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(.f64 -1000000000/23533438303 (.f64 y x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -1000000000/23533438303 (*.f64 y x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1000000000/23533438303 (*.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -1000000000/23533438303 (*.f64 y x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -1000000000/23533438303 (*.f64 y x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -1000000000/23533438303 (*.f64 y x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (*.f64 y x) 2) 1000000000000000000/553822718361107519809))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1000000000/23533438303) (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -1000000000/23533438303 (*.f64 y x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1000000000/23533438303 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1000000000/23533438303 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1000000000/23533438303 (*.f64 y x))))))))

simplify8.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

11 → 11

Calls

Call 1

Inputs

Outputs

localize69.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (-.f64 (.f64 500000000/23533438303 (+.f64 (.f64 -2 y) z)) (.f64 -156699607947000000000/553822718361107519809 z)) x)
✓	0.2b	(*.f64 -156699607947000000000/553822718361107519809 z)
	0.3b	(.f64 500000000/23533438303 (+.f64 (.f64 -2 y) z))
	0.4b	(*.f64 -1000000000/23533438303 z)

Compiler

Compiled 72 to 50 computations (30.6% saved)

series5.0ms (0%)

Counts

2 → 24

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	z	@	-inf	(*.f64 -156699607947000000000/553822718361107519809 z)
1.0ms	x	@	0	(.f64 (-.f64 (.f64 500000000/23533438303 (+.f64 (.f64 -2 y) z)) (.f64 -156699607947000000000/553822718361107519809 z)) x)
0.0ms	z	@	inf	(*.f64 -156699607947000000000/553822718361107519809 z)
0.0ms	x	@	inf	(.f64 (-.f64 (.f64 500000000/23533438303 (+.f64 (.f64 -2 y) z)) (.f64 -156699607947000000000/553822718361107519809 z)) x)
0.0ms	z	@	0	(*.f64 -156699607947000000000/553822718361107519809 z)

rewrite146.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

704×	`log-prod_binary64`
640×	`fma-def_binary64`
304×	`fma-neg_binary64`
262×	`pow1/3_binary64`
262×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	21
1	301	19
2	4065	19

Stop Event

1×	node limit

Counts

2 → 76

Calls

Call 1

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

Outputs

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-156699607947000000000/553822718361107519809 z)) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 500000000/23533438303 (fma.f64 -2 y z) (*.f64 z 156699607947000000000/553822718361107519809))) (*.f64 (sqrt.f64 (fma.f64 500000000/23533438303 (fma.f64 -2 y z) (*.f64 z 156699607947000000000/553822718361107519809))) x) (*.f64 x (fma.f64 z 156699607947000000000/553822718361107519809 (*.f64 -156699607947000000000/553822718361107519809 z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (fma.f64 500000000/23533438303 (fma.f64 -2 y z) (*.f64 z 156699607947000000000/553822718361107519809))) (*.f64 (fma.f64 z 156699607947000000000/553822718361107519809 (*.f64 -156699607947000000000/553822718361107519809 z)) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (fma.f64 500000000/23533438303 (fma.f64 -2 y z) (*.f64 z 156699607947000000000/553822718361107519809))) (*.f64 x (fma.f64 z 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(*.f64 (fma.f64 500000000/23533438303 (fma.f64 -2 y z) (*.f64 z 156699607947000000000/553822718361107519809)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (fma.f64 z 156699607947000000000/553822718361107519809 (*.f64 -156699607947000000000/553822718361107519809 z)) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (fma.f64 500000000/23533438303 (fma.f64 -2 y z) (*.f64 z 156699607947000000000/553822718361107519809)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 x (fma.f64 z 156699607947000000000/553822718361107519809 (*.f64 -156699607947000000000/553822718361107519809 z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (fma.f64 500000000/23533438303 (fma.f64 -2 y z) (*.f64 z 156699607947000000000/553822718361107519809)) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (fma.f64 z 156699607947000000000/553822718361107519809 (*.f64 -156699607947000000000/553822718361107519809 z)) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (fma.f64 500000000/23533438303 (fma.f64 -2 y z) (*.f64 z 156699607947000000000/553822718361107519809)) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x (fma.f64 z 156699607947000000000/553822718361107519809 (*.f64 -156699607947000000000/553822718361107519809 z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (cbrt.f64 (pow.f64 (fma.f64 500000000/23533438303 (fma.f64 -2 y z) (*.f64 z 156699607947000000000/553822718361107519809)) 2))) (cbrt.f64 (fma.f64 500000000/23533438303 (fma.f64 -2 y z) (*.f64 z 156699607947000000000/553822718361107519809))) (*.f64 (fma.f64 z 156699607947000000000/553822718361107519809 (*.f64 -156699607947000000000/553822718361107519809 z)) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (cbrt.f64 (pow.f64 (fma.f64 500000000/23533438303 (fma.f64 -2 y z) (*.f64 z 156699607947000000000/553822718361107519809)) 2))) (cbrt.f64 (fma.f64 500000000/23533438303 (fma.f64 -2 y z) (*.f64 z 156699607947000000000/553822718361107519809))) (*.f64 x (fma.f64 z 156699607947000000000/553822718361107519809 (*.f64 -156699607947000000000/553822718361107519809 z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 (fma.f64 500000000/23533438303 (fma.f64 -2 y z) (*.f64 z 156699607947000000000/553822718361107519809)))) (sqrt.f64 (fma.f64 500000000/23533438303 (fma.f64 -2 y z) (*.f64 z 156699607947000000000/553822718361107519809))) (*.f64 (fma.f64 z 156699607947000000000/553822718361107519809 (*.f64 -156699607947000000000/553822718361107519809 z)) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 (fma.f64 500000000/23533438303 (fma.f64 -2 y z) (*.f64 z 156699607947000000000/553822718361107519809)))) (sqrt.f64 (fma.f64 500000000/23533438303 (fma.f64 -2 y z) (*.f64 z 156699607947000000000/553822718361107519809))) (*.f64 x (fma.f64 z 156699607947000000000/553822718361107519809 (*.f64 -156699607947000000000/553822718361107519809 z))))))))

simplify104.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

817×	`fma-neg_binary64`
784×	`fma-def_binary64`
237×	`cancel-sign-sub-inv_binary64`
160×	`distribute-rgt-in_binary64`
111×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	294
1	43	276
2	92	240
3	178	240
4	380	240
5	613	240
6	951	240
7	1603	240
8	2793	240
9	3324	240
10	3530	240
11	3554	240
12	3554	240

Stop Event

1×

saturated

Counts

100 → 85

Calls

Call 1

Inputs
(.f64 (-.f64 (.f64 500000000/23533438303 z) (*.f64 -156699607947000000000/553822718361107519809 z)) x)
(+.f64 (.f64 -1000000000/23533438303 (.f64 y x)) (.f64 (-.f64 (.f64 500000000/23533438303 z) (*.f64 -156699607947000000000/553822718361107519809 z)) x))
(+.f64 (.f64 -1000000000/23533438303 (.f64 y x)) (.f64 (-.f64 (.f64 500000000/23533438303 z) (*.f64 -156699607947000000000/553822718361107519809 z)) x))
(+.f64 (.f64 -1000000000/23533438303 (.f64 y x)) (.f64 (-.f64 (.f64 500000000/23533438303 z) (*.f64 -156699607947000000000/553822718361107519809 z)) x))
(.f64 -1000000000/23533438303 (.f64 y x))
(+.f64 (.f64 (-.f64 (.f64 500000000/23533438303 z) (.f64 -156699607947000000000/553822718361107519809 z)) x) (.f64 -1000000000/23533438303 (*.f64 y x)))
(+.f64 (.f64 (-.f64 (.f64 500000000/23533438303 z) (.f64 -156699607947000000000/553822718361107519809 z)) x) (.f64 -1000000000/23533438303 (*.f64 y x)))
(+.f64 (.f64 (-.f64 (.f64 500000000/23533438303 z) (.f64 -156699607947000000000/553822718361107519809 z)) x) (.f64 -1000000000/23533438303 (*.f64 y x)))
(.f64 -1000000000/23533438303 (.f64 y x))
(+.f64 (.f64 (-.f64 (.f64 500000000/23533438303 z) (.f64 -156699607947000000000/553822718361107519809 z)) x) (.f64 -1000000000/23533438303 (*.f64 y x)))
(+.f64 (.f64 (-.f64 (.f64 500000000/23533438303 z) (.f64 -156699607947000000000/553822718361107519809 z)) x) (.f64 -1000000000/23533438303 (*.f64 y x)))
(+.f64 (.f64 (-.f64 (.f64 500000000/23533438303 z) (.f64 -156699607947000000000/553822718361107519809 z)) x) (.f64 -1000000000/23533438303 (*.f64 y x)))
(.f64 -1000000000/23533438303 (.f64 y x))
(+.f64 (.f64 -1000000000/23533438303 (.f64 y x)) (.f64 168466327098500000000/553822718361107519809 (.f64 z x)))
(+.f64 (.f64 -1000000000/23533438303 (.f64 y x)) (.f64 168466327098500000000/553822718361107519809 (.f64 z x)))
(+.f64 (.f64 -1000000000/23533438303 (.f64 y x)) (.f64 168466327098500000000/553822718361107519809 (.f64 z x)))
(.f64 168466327098500000000/553822718361107519809 (.f64 z x))
(+.f64 (.f64 -1000000000/23533438303 (.f64 y x)) (.f64 168466327098500000000/553822718361107519809 (.f64 z x)))
(+.f64 (.f64 -1000000000/23533438303 (.f64 y x)) (.f64 168466327098500000000/553822718361107519809 (.f64 z x)))
(+.f64 (.f64 -1000000000/23533438303 (.f64 y x)) (.f64 168466327098500000000/553822718361107519809 (.f64 z x)))
(.f64 168466327098500000000/553822718361107519809 (.f64 z x))
(+.f64 (.f64 -1000000000/23533438303 (.f64 y x)) (.f64 168466327098500000000/553822718361107519809 (.f64 z x)))
(+.f64 (.f64 -1000000000/23533438303 (.f64 y x)) (.f64 168466327098500000000/553822718361107519809 (.f64 z x)))
(+.f64 (.f64 -1000000000/23533438303 (.f64 y x)) (.f64 168466327098500000000/553822718361107519809 (.f64 z x)))

Outputs
(.f64 (-.f64 (.f64 500000000/23533438303 z) (*.f64 -156699607947000000000/553822718361107519809 z)) x)
(.f64 (.f64 z 168466327098500000000/553822718361107519809) x)
(.f64 168466327098500000000/553822718361107519809 (.f64 z x))
(+.f64 (.f64 -1000000000/23533438303 (.f64 y x)) (.f64 (-.f64 (.f64 500000000/23533438303 z) (*.f64 -156699607947000000000/553822718361107519809 z)) x))
(fma.f64 -1000000000/23533438303 (.f64 x y) (.f64 (*.f64 z 168466327098500000000/553822718361107519809) x))
(.f64 x (+.f64 (.f64 z 168466327098500000000/553822718361107519809) (*.f64 -1000000000/23533438303 y)))
(.f64 x (fma.f64 z 168466327098500000000/553822718361107519809 (.f64 -1000000000/23533438303 y)))
(+.f64 (.f64 -1000000000/23533438303 (.f64 y x)) (.f64 (-.f64 (.f64 500000000/23533438303 z) (*.f64 -156699607947000000000/553822718361107519809 z)) x))
(fma.f64 -1000000000/23533438303 (.f64 x y) (.f64 (*.f64 z 168466327098500000000/553822718361107519809) x))
(.f64 x (+.f64 (.f64 z 168466327098500000000/553822718361107519809) (*.f64 -1000000000/23533438303 y)))
(.f64 x (fma.f64 z 168466327098500000000/553822718361107519809 (.f64 -1000000000/23533438303 y)))
(+.f64 (.f64 -1000000000/23533438303 (.f64 y x)) (.f64 (-.f64 (.f64 500000000/23533438303 z) (*.f64 -156699607947000000000/553822718361107519809 z)) x))
(fma.f64 -1000000000/23533438303 (.f64 x y) (.f64 (*.f64 z 168466327098500000000/553822718361107519809) x))
(.f64 x (+.f64 (.f64 z 168466327098500000000/553822718361107519809) (*.f64 -1000000000/23533438303 y)))
(.f64 x (fma.f64 z 168466327098500000000/553822718361107519809 (.f64 -1000000000/23533438303 y)))
(.f64 -1000000000/23533438303 (.f64 y x))
(.f64 -1000000000/23533438303 (.f64 x y))
(.f64 x (.f64 -1000000000/23533438303 y))
(.f64 y (.f64 x -1000000000/23533438303))
(+.f64 (.f64 (-.f64 (.f64 500000000/23533438303 z) (.f64 -156699607947000000000/553822718361107519809 z)) x) (.f64 -1000000000/23533438303 (*.f64 y x)))
(fma.f64 -1000000000/23533438303 (.f64 x y) (.f64 (*.f64 z 168466327098500000000/553822718361107519809) x))
(.f64 x (+.f64 (.f64 z 168466327098500000000/553822718361107519809) (*.f64 -1000000000/23533438303 y)))
(.f64 x (fma.f64 z 168466327098500000000/553822718361107519809 (.f64 -1000000000/23533438303 y)))
(+.f64 (.f64 (-.f64 (.f64 500000000/23533438303 z) (.f64 -156699607947000000000/553822718361107519809 z)) x) (.f64 -1000000000/23533438303 (*.f64 y x)))
(fma.f64 -1000000000/23533438303 (.f64 x y) (.f64 (*.f64 z 168466327098500000000/553822718361107519809) x))
(.f64 x (+.f64 (.f64 z 168466327098500000000/553822718361107519809) (*.f64 -1000000000/23533438303 y)))
(.f64 x (fma.f64 z 168466327098500000000/553822718361107519809 (.f64 -1000000000/23533438303 y)))
(+.f64 (.f64 (-.f64 (.f64 500000000/23533438303 z) (.f64 -156699607947000000000/553822718361107519809 z)) x) (.f64 -1000000000/23533438303 (*.f64 y x)))
(fma.f64 -1000000000/23533438303 (.f64 x y) (.f64 (*.f64 z 168466327098500000000/553822718361107519809) x))
(.f64 x (+.f64 (.f64 z 168466327098500000000/553822718361107519809) (*.f64 -1000000000/23533438303 y)))
(.f64 x (fma.f64 z 168466327098500000000/553822718361107519809 (.f64 -1000000000/23533438303 y)))
(.f64 -1000000000/23533438303 (.f64 y x))
(.f64 -1000000000/23533438303 (.f64 x y))
(.f64 x (.f64 -1000000000/23533438303 y))
(.f64 y (.f64 x -1000000000/23533438303))
(+.f64 (.f64 (-.f64 (.f64 500000000/23533438303 z) (.f64 -156699607947000000000/553822718361107519809 z)) x) (.f64 -1000000000/23533438303 (*.f64 y x)))
(fma.f64 -1000000000/23533438303 (.f64 x y) (.f64 (*.f64 z 168466327098500000000/553822718361107519809) x))
(.f64 x (+.f64 (.f64 z 168466327098500000000/553822718361107519809) (*.f64 -1000000000/23533438303 y)))
(.f64 x (fma.f64 z 168466327098500000000/553822718361107519809 (.f64 -1000000000/23533438303 y)))
(+.f64 (.f64 (-.f64 (.f64 500000000/23533438303 z) (.f64 -156699607947000000000/553822718361107519809 z)) x) (.f64 -1000000000/23533438303 (*.f64 y x)))
(fma.f64 -1000000000/23533438303 (.f64 x y) (.f64 (*.f64 z 168466327098500000000/553822718361107519809) x))
(.f64 x (+.f64 (.f64 z 168466327098500000000/553822718361107519809) (*.f64 -1000000000/23533438303 y)))
(.f64 x (fma.f64 z 168466327098500000000/553822718361107519809 (.f64 -1000000000/23533438303 y)))
(+.f64 (.f64 (-.f64 (.f64 500000000/23533438303 z) (.f64 -156699607947000000000/553822718361107519809 z)) x) (.f64 -1000000000/23533438303 (*.f64 y x)))
(fma.f64 -1000000000/23533438303 (.f64 x y) (.f64 (*.f64 z 168466327098500000000/553822718361107519809) x))
(.f64 x (+.f64 (.f64 z 168466327098500000000/553822718361107519809) (*.f64 -1000000000/23533438303 y)))
(.f64 x (fma.f64 z 168466327098500000000/553822718361107519809 (.f64 -1000000000/23533438303 y)))
(.f64 -1000000000/23533438303 (.f64 y x))
(.f64 -1000000000/23533438303 (.f64 x y))
(.f64 x (.f64 -1000000000/23533438303 y))
(.f64 y (.f64 x -1000000000/23533438303))
(+.f64 (.f64 -1000000000/23533438303 (.f64 y x)) (.f64 168466327098500000000/553822718361107519809 (.f64 z x)))
(fma.f64 -1000000000/23533438303 (.f64 x y) (.f64 (*.f64 z 168466327098500000000/553822718361107519809) x))
(.f64 x (+.f64 (.f64 z 168466327098500000000/553822718361107519809) (*.f64 -1000000000/23533438303 y)))
(.f64 x (fma.f64 z 168466327098500000000/553822718361107519809 (.f64 -1000000000/23533438303 y)))
(+.f64 (.f64 -1000000000/23533438303 (.f64 y x)) (.f64 168466327098500000000/553822718361107519809 (.f64 z x)))
(fma.f64 -1000000000/23533438303 (.f64 x y) (.f64 (*.f64 z 168466327098500000000/553822718361107519809) x))
(.f64 x (+.f64 (.f64 z 168466327098500000000/553822718361107519809) (*.f64 -1000000000/23533438303 y)))
(.f64 x (fma.f64 z 168466327098500000000/553822718361107519809 (.f64 -1000000000/23533438303 y)))
(+.f64 (.f64 -1000000000/23533438303 (.f64 y x)) (.f64 168466327098500000000/553822718361107519809 (.f64 z x)))
(fma.f64 -1000000000/23533438303 (.f64 x y) (.f64 (*.f64 z 168466327098500000000/553822718361107519809) x))
(.f64 x (+.f64 (.f64 z 168466327098500000000/553822718361107519809) (*.f64 -1000000000/23533438303 y)))
(.f64 x (fma.f64 z 168466327098500000000/553822718361107519809 (.f64 -1000000000/23533438303 y)))
(.f64 168466327098500000000/553822718361107519809 (.f64 z x))
(.f64 (.f64 z 168466327098500000000/553822718361107519809) x)
(+.f64 (.f64 -1000000000/23533438303 (.f64 y x)) (.f64 168466327098500000000/553822718361107519809 (.f64 z x)))
(fma.f64 -1000000000/23533438303 (.f64 x y) (.f64 (*.f64 z 168466327098500000000/553822718361107519809) x))
(.f64 x (+.f64 (.f64 z 168466327098500000000/553822718361107519809) (*.f64 -1000000000/23533438303 y)))
(.f64 x (fma.f64 z 168466327098500000000/553822718361107519809 (.f64 -1000000000/23533438303 y)))
(+.f64 (.f64 -1000000000/23533438303 (.f64 y x)) (.f64 168466327098500000000/553822718361107519809 (.f64 z x)))
(fma.f64 -1000000000/23533438303 (.f64 x y) (.f64 (*.f64 z 168466327098500000000/553822718361107519809) x))
(.f64 x (+.f64 (.f64 z 168466327098500000000/553822718361107519809) (*.f64 -1000000000/23533438303 y)))
(.f64 x (fma.f64 z 168466327098500000000/553822718361107519809 (.f64 -1000000000/23533438303 y)))
(+.f64 (.f64 -1000000000/23533438303 (.f64 y x)) (.f64 168466327098500000000/553822718361107519809 (.f64 z x)))
(fma.f64 -1000000000/23533438303 (.f64 x y) (.f64 (*.f64 z 168466327098500000000/553822718361107519809) x))
(.f64 x (+.f64 (.f64 z 168466327098500000000/553822718361107519809) (*.f64 -1000000000/23533438303 y)))
(.f64 x (fma.f64 z 168466327098500000000/553822718361107519809 (.f64 -1000000000/23533438303 y)))
(.f64 168466327098500000000/553822718361107519809 (.f64 z x))
(.f64 (.f64 z 168466327098500000000/553822718361107519809) x)
(+.f64 (.f64 -1000000000/23533438303 (.f64 y x)) (.f64 168466327098500000000/553822718361107519809 (.f64 z x)))
(fma.f64 -1000000000/23533438303 (.f64 x y) (.f64 (*.f64 z 168466327098500000000/553822718361107519809) x))
(.f64 x (+.f64 (.f64 z 168466327098500000000/553822718361107519809) (*.f64 -1000000000/23533438303 y)))
(.f64 x (fma.f64 z 168466327098500000000/553822718361107519809 (.f64 -1000000000/23533438303 y)))
(+.f64 (.f64 -1000000000/23533438303 (.f64 y x)) (.f64 168466327098500000000/553822718361107519809 (.f64 z x)))
(fma.f64 -1000000000/23533438303 (.f64 x y) (.f64 (*.f64 z 168466327098500000000/553822718361107519809) x))
(.f64 x (+.f64 (.f64 z 168466327098500000000/553822718361107519809) (*.f64 -1000000000/23533438303 y)))
(.f64 x (fma.f64 z 168466327098500000000/553822718361107519809 (.f64 -1000000000/23533438303 y)))
(+.f64 (.f64 -1000000000/23533438303 (.f64 y x)) (.f64 168466327098500000000/553822718361107519809 (.f64 z x)))
(fma.f64 -1000000000/23533438303 (.f64 x y) (.f64 (*.f64 z 168466327098500000000/553822718361107519809) x))
(.f64 x (+.f64 (.f64 z 168466327098500000000/553822718361107519809) (*.f64 -1000000000/23533438303 y)))
(.f64 x (fma.f64 z 168466327098500000000/553822718361107519809 (.f64 -1000000000/23533438303 y)))

localize199.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)
	0.6b	(*.f64 104109730557/25000000000 x)
✓	9.9b	(/.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))
	25.5b	(/.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))

Compiler

Compiled 270 to 192 computations (28.9% saved)

series5.0ms (0%)

Counts

1 → 20

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	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	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))
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))
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))

rewrite103.0ms (0.4%)

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	29
1	427	25
2	5927	25

Stop Event

1×	node limit

Counts

1 → 45

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))

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

simplify110.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

900×	`fma-neg_binary64`
499×	`fma-def_binary64`
281×	`times-frac_binary64`
262×	`distribute-rgt-neg-in_binary64`
249×	`sub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	110	689
1	323	561
2	1121	497
3	5315	488

Stop Event

1×	node limit

Counts

65 → 66

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))))))))

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 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) z))
(/.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 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) z))
(/.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 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) z))
(/.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 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) z))
(/.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 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) z))
(/.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 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) z))
(/.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 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) z))
(/.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 (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000) z))
(*.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 x (.f64 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 x (.f64 z 168466327098500000000/553822718361107519809))) (.f64 x (.f64 x (fma.f64 z -131752537360500000000/553822718361107519809 (*.f64 z 26398607408606012051779500000000/13033352773350869092174451844127)))))
(fma.f64 z -1000000000/23533438303 (.f64 x (+.f64 (.f64 x (neg.f64 (.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))))))
(fma.f64 -1 (.f64 (fma.f64 263505074721/47066876606 (.f64 z 168466327098500000000/553822718361107519809) (fma.f64 -21670001125700000000/553822718361107519809 z (.f64 (fma.f64 156699607947/23533438303 (.f64 z 168466327098500000000/553822718361107519809) (.f64 z -131752537360500000000/553822718361107519809)) -156699607947/23533438303))) (pow.f64 x 3)) (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 (-.f64 (fma.f64 z -1000000000/23533438303 (.f64 x (.f64 z 168466327098500000000/553822718361107519809))) (.f64 x (.f64 x (fma.f64 z -131752537360500000000/553822718361107519809 (.f64 z 26398607408606012051779500000000/13033352773350869092174451844127))))) (.f64 (+.f64 (.f64 z 22195866055031334813509250000000/13033352773350869092174451844127) (fma.f64 z -21670001125700000000/553822718361107519809 (.f64 (fma.f64 z -131752537360500000000/553822718361107519809 (*.f64 z 26398607408606012051779500000000/13033352773350869092174451844127)) -156699607947/23533438303))) (pow.f64 x 3)))
(fma.f64 (fma.f64 (.f64 z 23298017199368982832548000000000/13033352773350869092174451844127) -156699607947/23533438303 (.f64 z 21685896420513733315822150000000/13033352773350869092174451844127)) (neg.f64 (pow.f64 x 3)) (fma.f64 z -1000000000/23533438303 (.f64 x (+.f64 (.f64 x (neg.f64 (.f64 z 23298017199368982832548000000000/13033352773350869092174451844127))) (.f64 z 168466327098500000000/553822718361107519809)))))
(fma.f64 z (+.f64 -1000000000/23533438303 (.f64 x 168466327098500000000/553822718361107519809)) (.f64 (.f64 x x) (-.f64 (.f64 z -23298017199368982832548000000000/13033352773350869092174451844127) (.f64 x (fma.f64 (.f64 z 23298017199368982832548000000000/13033352773350869092174451844127) -156699607947/23533438303 (*.f64 z 21685896420513733315822150000000/13033352773350869092174451844127))))))
(/.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 z -2) (pow.f64 x 4))) (/.f64 (.f64 z 216700011257/5000000000) (pow.f64 x 4)))
(+.f64 (/.f64 z (pow.f64 x 3)) (*.f64 (/.f64 z (pow.f64 x 4)) -226700011257/5000000000))
(fma.f64 (/.f64 z (pow.f64 x 4)) -226700011257/5000000000 (/.f64 z (pow.f64 x 3)))
(-.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 z (pow.f64 x 3)) (-.f64 (fma.f64 -1 (/.f64 (fma.f64 263505074721/1000000000 z (.f64 216700011257/5000000000 (.f64 z -226700011257/5000000000))) (pow.f64 x 5)) (/.f64 (.f64 z -2) (pow.f64 x 4))) (/.f64 (.f64 z 216700011257/5000000000) (pow.f64 x 4))))
(+.f64 (-.f64 (/.f64 z (pow.f64 x 3)) (/.f64 (fma.f64 z 263505074721/1000000000 (.f64 z -49125894991353926720049/25000000000000000000)) (pow.f64 x 5))) (.f64 (/.f64 z (pow.f64 x 4)) -226700011257/5000000000))
(-.f64 (fma.f64 (/.f64 z (pow.f64 x 4)) -226700011257/5000000000 (/.f64 z (pow.f64 x 3))) (/.f64 (*.f64 z -42538268123328926720049/25000000000000000000) (pow.f64 x 5)))
(fma.f64 (/.f64 z (pow.f64 x 4)) -226700011257/5000000000 (+.f64 (/.f64 z (pow.f64 x 3)) (/.f64 (*.f64 z 42538268123328926720049/25000000000000000000) (pow.f64 x 5))))
(-.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 (/.f64 z (pow.f64 x 3)) (-.f64 (fma.f64 -1 (/.f64 (fma.f64 -216700011257/5000000000 (fma.f64 263505074721/1000000000 z (.f64 216700011257/5000000000 (.f64 z -226700011257/5000000000))) (fma.f64 156699607947/500000000 z (.f64 263505074721/1000000000 (.f64 z -226700011257/5000000000)))) (pow.f64 x 6)) (fma.f64 -1 (/.f64 (fma.f64 263505074721/1000000000 z (.f64 216700011257/5000000000 (.f64 z -226700011257/5000000000))) (pow.f64 x 5)) (/.f64 (.f64 z -2) (pow.f64 x 4)))) (/.f64 (.f64 z 216700011257/5000000000) (pow.f64 x 4))))
(+.f64 (-.f64 (/.f64 z (pow.f64 x 3)) (/.f64 (fma.f64 (fma.f64 z 263505074721/1000000000 (.f64 z -49125894991353926720049/25000000000000000000)) -216700011257/5000000000 (fma.f64 z 156699607947/500000000 (.f64 z -59736603405527326134297/5000000000000000000))) (pow.f64 x 6))) (+.f64 (/.f64 (neg.f64 (fma.f64 z 263505074721/1000000000 (.f64 z -49125894991353926720049/25000000000000000000))) (pow.f64 x 5)) (.f64 (/.f64 z (pow.f64 x 4)) -226700011257/5000000000)))
(+.f64 (/.f64 (neg.f64 (fma.f64 (.f64 z -42538268123328926720049/25000000000000000000) -216700011257/5000000000 (.f64 z -58169607326057326134297/5000000000000000000))) (pow.f64 x 6)) (-.f64 (fma.f64 (/.f64 z (pow.f64 x 4)) -226700011257/5000000000 (/.f64 z (pow.f64 x 3))) (/.f64 (*.f64 z -42538268123328926720049/25000000000000000000) (pow.f64 x 5))))
(+.f64 (/.f64 z (pow.f64 x 3)) (-.f64 (fma.f64 (/.f64 z (pow.f64 x 4)) -226700011257/5000000000 (/.f64 (.f64 z 42538268123328926720049/25000000000000000000) (pow.f64 x 5))) (/.f64 (fma.f64 (.f64 z -42538268123328926720049/25000000000000000000) -216700011257/5000000000 (*.f64 z -58169607326057326134297/5000000000000000000)) (pow.f64 x 6))))
(/.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 (/.f64 z (pow.f64 x 3)) (/.f64 (.f64 z -2) (pow.f64 x 4))) (/.f64 (.f64 z 216700011257/5000000000) (pow.f64 x 4)))
(+.f64 (/.f64 z (pow.f64 x 3)) (*.f64 (/.f64 z (pow.f64 x 4)) -226700011257/5000000000))
(fma.f64 (/.f64 z (pow.f64 x 4)) -226700011257/5000000000 (/.f64 z (pow.f64 x 3)))
(+.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 z (pow.f64 x 3)) (-.f64 (fma.f64 -1 (/.f64 (fma.f64 263505074721/1000000000 z (.f64 216700011257/5000000000 (.f64 z -226700011257/5000000000))) (pow.f64 x 5)) (/.f64 (.f64 z -2) (pow.f64 x 4))) (/.f64 (.f64 z 216700011257/5000000000) (pow.f64 x 4))))
(+.f64 (-.f64 (/.f64 z (pow.f64 x 3)) (/.f64 (fma.f64 z 263505074721/1000000000 (.f64 z -49125894991353926720049/25000000000000000000)) (pow.f64 x 5))) (.f64 (/.f64 z (pow.f64 x 4)) -226700011257/5000000000))
(-.f64 (fma.f64 (/.f64 z (pow.f64 x 4)) -226700011257/5000000000 (/.f64 z (pow.f64 x 3))) (/.f64 (*.f64 z -42538268123328926720049/25000000000000000000) (pow.f64 x 5)))
(fma.f64 (/.f64 z (pow.f64 x 4)) -226700011257/5000000000 (+.f64 (/.f64 z (pow.f64 x 3)) (/.f64 (*.f64 z 42538268123328926720049/25000000000000000000) (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))))))))
(fma.f64 216700011257/5000000000 (/.f64 (fma.f64 263505074721/1000000000 z (.f64 -216700011257/5000000000 (.f64 z 226700011257/5000000000))) (pow.f64 x 6)) (fma.f64 -156699607947/500000000 (/.f64 z (pow.f64 x 6)) (+.f64 (/.f64 z (pow.f64 x 3)) (fma.f64 -1 (/.f64 (.f64 z 226700011257/5000000000) (pow.f64 x 4)) (fma.f64 -1 (/.f64 (fma.f64 263505074721/1000000000 z (.f64 -216700011257/5000000000 (.f64 z 226700011257/5000000000))) (pow.f64 x 5)) (.f64 263505074721/1000000000 (/.f64 (*.f64 z 226700011257/5000000000) (pow.f64 x 6))))))))
(fma.f64 216700011257/5000000000 (/.f64 (fma.f64 z 263505074721/1000000000 (.f64 z -49125894991353926720049/25000000000000000000)) (pow.f64 x 6)) (+.f64 (-.f64 (-.f64 (.f64 263505074721/1000000000 (/.f64 (.f64 z 226700011257/5000000000) (pow.f64 x 6))) (/.f64 (fma.f64 z 263505074721/1000000000 (.f64 z -49125894991353926720049/25000000000000000000)) (pow.f64 x 5))) (/.f64 (*.f64 z 226700011257/5000000000) (pow.f64 x 4))) (fma.f64 -156699607947/500000000 (/.f64 z (pow.f64 x 6)) (/.f64 z (pow.f64 x 3)))))
(fma.f64 216700011257/5000000000 (/.f64 (.f64 z -42538268123328926720049/25000000000000000000) (pow.f64 x 6)) (+.f64 (/.f64 (.f64 z 59736603405527326134297/5000000000000000000) (pow.f64 x 6)) (-.f64 (fma.f64 -156699607947/500000000 (/.f64 z (pow.f64 x 6)) (fma.f64 (/.f64 z (pow.f64 x 4)) -226700011257/5000000000 (/.f64 z (pow.f64 x 3)))) (/.f64 (*.f64 z -42538268123328926720049/25000000000000000000) (pow.f64 x 5)))))
(+.f64 (+.f64 (fma.f64 (/.f64 z (pow.f64 x 4)) -226700011257/5000000000 (/.f64 (.f64 z 42538268123328926720049/25000000000000000000) (pow.f64 x 5))) (/.f64 (.f64 z 59736603405527326134297/5000000000000000000) (pow.f64 x 6))) (fma.f64 216700011257/5000000000 (/.f64 (*.f64 z -42538268123328926720049/25000000000000000000) (pow.f64 x 6)) (fma.f64 -156699607947/500000000 (/.f64 z (pow.f64 x 6)) (/.f64 z (pow.f64 x 3)))))

localize10.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(sqrt.f64 (*.f64 x 104109730557/25000000000))
✓	0.3b	(pow.f64 (sqrt.f64 (*.f64 x 104109730557/25000000000)) 2)
	0.6b	(*.f64 x 104109730557/25000000000)

Compiler

Compiled 19 to 15 computations (21.1% saved)

series25.0ms (0.1%)

Counts

2 → 0

Calls

6 calls:

Time	Variable		Point	Expression
19.0ms	x	@	-inf	(pow.f64 (sqrt.f64 (*.f64 x 104109730557/25000000000)) 2)
3.0ms	x	@	0	(pow.f64 (sqrt.f64 (*.f64 x 104109730557/25000000000)) 2)
1.0ms	x	@	inf	(pow.f64 (sqrt.f64 (*.f64 x 104109730557/25000000000)) 2)
1.0ms	x	@	0	(sqrt.f64 (*.f64 x 104109730557/25000000000))
1.0ms	x	@	-inf	(sqrt.f64 (*.f64 x 104109730557/25000000000))

rewrite95.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

497×	`pow1_binary64`
487×	`add-sqr-sqrt_binary64`
465×	`add-log-exp_binary64`
465×	`log1p-expm1-u_binary64`
465×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	146	10
2	1320	10

Stop Event

1×	node limit

Counts

2 → 47

Calls

Call 1

Inputs
(pow.f64 (sqrt.f64 (*.f64 x 104109730557/25000000000)) 2)
(sqrt.f64 (*.f64 x 104109730557/25000000000))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x 104109730557/25000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 104109730557/25000000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (pow.f64 (sqrt.f64 104109730557/25000000000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 104109730557/25000000000 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 104109730557/25000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x 104109730557/25000000000)) (sqrt.f64 (*.f64 x 104109730557/25000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x 104109730557/25000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 104109730557/25000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x 104109730557/25000000000)) (pow.f64 (cbrt.f64 (*.f64 x 104109730557/25000000000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x 104109730557/25000000000)) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x 104109730557/25000000000))) (sqrt.f64 (*.f64 x 104109730557/25000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x 104109730557/25000000000)) 2) (cbrt.f64 (*.f64 x 104109730557/25000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x 104109730557/25000000000) 1/4) (*.f64 (pow.f64 (*.f64 x 104109730557/25000000000) 1/4) (sqrt.f64 (*.f64 x 104109730557/25000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 104109730557/25000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 104109730557/25000000000) (sqrt.f64 (*.f64 x 104109730557/25000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 x 104109730557/25000000000)) (pow.f64 (*.f64 x 104109730557/25000000000) 1/4)) (pow.f64 (*.f64 x 104109730557/25000000000) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 104109730557/25000000000 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 104109730557/25000000000 (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 x 104109730557/25000000000)) (cbrt.f64 (*.f64 x 104109730557/25000000000))) (cbrt.f64 (sqrt.f64 (*.f64 x 104109730557/25000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 x 104109730557/25000000000)) (sqrt.f64 x)) (sqrt.f64 104109730557/25000000000))))) (#(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 x) 104109730557/25000000000))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x 104109730557/25000000000) 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 -.f64 (+.f64 1 (sqrt.f64 (*.f64 x 104109730557/25000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x 104109730557/25000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 x 104109730557/25000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 x 104109730557/25000000000))) (cbrt.f64 (*.f64 x 104109730557/25000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x 104109730557/25000000000)) (cbrt.f64 (sqrt.f64 (*.f64 x 104109730557/25000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 104109730557/25000000000) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x 104109730557/25000000000) 1/4) (pow.f64 (*.f64 x 104109730557/25000000000) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (sqrt.f64 104109730557/25000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 104109730557/25000000000)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 x 104109730557/25000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 x 104109730557/25000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 104109730557/25000000000)) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 x 104109730557/25000000000)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 104109730557/25000000000) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x 104109730557/25000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x 104109730557/25000000000) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x 104109730557/25000000000))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x 104109730557/25000000000) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 x 104109730557/25000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 x 104109730557/25000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x 104109730557/25000000000) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 x 104109730557/25000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 x 104109730557/25000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 x 104109730557/25000000000))))))))

simplify8.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

47 → 47

Calls

Call 1

Inputs

Outputs

eval1.5s (6%)

Compiler: Compiled 23614 to 16948 computations (28.2% saved)

prune146.0ms (0.6%)

Pruning

53 alts after pruning (46 fresh and 7 done)

	Pruned	Kept	Total
New	530	18	548
Fresh	9	28	37
Picked	0	1	1
Done	3	6	9
Total	542	53	595

Error

Counts

595 → 53

Alt Table

Click to see full alt table

Status	Error	Program
	42.0b	(.f64 (-.f64 (.f64 (+.f64 (*.f64 -23298017199368982832548000000000/13033352773350869092174451844127 x) 168466327098500000000/553822718361107519809) x) 1000000000/23533438303) z)
	30.4b	(.f64 (+.f64 x -2) (+.f64 (.f64 x (/.f64 y (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000))) (/.f64 z (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000))))
	26.4b	(+.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 (pow.f64 (cbrt.f64 (.f64 104109730557/25000000000 x)) 3)) 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)))
	52.1b	(/.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 x 263505074721/1000000000)) x) 23533438303/500000000))
	35.8b	(fma.f64 (pow.f64 (cbrt.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x))) 2) (.f64 (cbrt.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x))) (+.f64 x -2)) (/.f64 (.f64 (+.f64 x -2) (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 x)) x))
	48.5b	(.f64 (.f64 104109730557/25000000000 (sqrt.f64 x)) (sqrt.f64 x))
	39.8b	(.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)))
✓	35.2b	(*.f64 x 104109730557/25000000000)
	48.5b	(pow.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 104109730557/25000000000)) 2)
	33.5b	(+.f64 (.f64 y (.f64 x -1000000000/23533438303)) (*.f64 -1000000000/23533438303 z))
	52.2b	(/.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) 104109730557/25000000000) 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))
✓	49.4b	(/.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))
	35.4b	(.f64 (.f64 104109730557/25000000000 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
	47.4b	(pow.f64 (cbrt.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 104109730557/25000000000 x 393497462077/5000000000) 4297481763/31250000) y) (/.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))))) 3)
	54.3b	(.f64 x (.f64 -1000000000/23533438303 y))
	31.0b	(.f64 (+.f64 x -2) (+.f64 (/.f64 (.f64 y x) (+.f64 23533438303/500000000 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 (.f64 (+.f64 216700011257/5000000000 x) x) 263505074721/1000000000) x)) x))) (/.f64 z (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000))))
✓	26.4b	(/.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))
	22.1b	(+.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 x 104109730557/25000000000))
	55.3b	(cbrt.f64 (*.f64 1128428295162862690821234941118693/15625000000000000000000000000000 (pow.f64 x 3)))
	35.0b	(*.f64 (+.f64 x -2) 104109730557/25000000000)
	27.6b	(/.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 (pow.f64 x 3) 156699607947/500000000) x) 23533438303/500000000))
	48.5b	(.f64 (pow.f64 (.f64 x 104109730557/25000000000) 1/4) (.f64 (pow.f64 (.f64 x 104109730557/25000000000) 1/4) (sqrt.f64 (*.f64 x 104109730557/25000000000))))
	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 (fma.f64 (.f64 x x) x (.f64 216700011257/5000000000 (*.f64 x x))) 156699607947/500000000) x) 23533438303/500000000))
	35.4b	(.f64 (pow.f64 (cbrt.f64 (.f64 x 104109730557/25000000000)) 2) (cbrt.f64 (*.f64 x 104109730557/25000000000)))
	51.7b	(/.f64 (.f64 (+.f64 (.f64 x 4297481763/31250000) 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))
	52.2b	(.f64 x (+.f64 (.f64 -1000000000/23533438303 y) (.f64 x (+.f64 -137519416416/23533438303 (.f64 y 168466327098500000000/553822718361107519809)))))
	41.8b	(.f64 z (-.f64 (.f64 168466327098500000000/553822718361107519809 x) 1000000000/23533438303))
	30.9b	(/.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 x 263505074721/1000000000) 156699607947/500000000) x) 23533438303/500000000))
	41.8b	(.f64 (+.f64 x -2) (.f64 500000000/23533438303 z))
✓	54.3b	(.f64 -1000000000/23533438303 (.f64 y x))
	53.9b	(.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)))
	35.4b	(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) 104109730557/25000000000))
	57.8b	(/.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)))
✓	26.4b	(+.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)))
	55.3b	(cbrt.f64 (pow.f64 (*.f64 x 104109730557/25000000000) 3))
	49.4b	(/.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 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000))) x) 23533438303/500000000))
	35.4b	(pow.f64 (cbrt.f64 (*.f64 x 104109730557/25000000000)) 3)
	59.5b	(pow.f64 (sqrt.f64 (.f64 -1000000000/23533438303 (.f64 y x))) 2)
	26.4b	(+.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 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000))) x) 23533438303/500000000)))
✓	48.5b	(pow.f64 (sqrt.f64 (*.f64 x 104109730557/25000000000)) 2)
	26.4b	(/.f64 (.f64 (-.f64 x 2) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (pow.f64 (cbrt.f64 (.f64 x 104109730557/25000000000)) 3) 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))
	36.0b	(fma.f64 (.f64 (+.f64 x -2) (sqrt.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)))) (sqrt.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x))) (/.f64 (.f64 (+.f64 x -2) (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 x)) x))
	57.3b	(sqrt.f64 (.f64 10838835996651139530249/625000000000000000000 (.f64 x x)))
	41.8b	(+.f64 (.f64 (.f64 z 168466327098500000000/553822718361107519809) x) (*.f64 -1000000000/23533438303 z))
	52.0b	(/.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 x (+.f64 263505074721/1000000000 (.f64 x 216700011257/5000000000)))) x) 23533438303/500000000))
	52.2b	(.f64 x (+.f64 (.f64 -1000000000/23533438303 y) (*.f64 x -137519416416/23533438303)))
	36.0b	(.f64 (+.f64 x -2) (+.f64 (/.f64 (-.f64 (/.f64 161878373695374854434910217844194695190262201/15625000000000000000000000000000000000000 (.f64 x x)) 10838835996651139530249/625000000000000000000) (-.f64 (/.f64 -12723143231740136880149/125000000000000000000 x) 104109730557/25000000000)) (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (*.f64 x x))))
	35.0b	(+.f64 (fma.f64 x 104109730557/25000000000 -13764240537310136880149/125000000000000000000) (-.f64 (/.f64 2970286349119912390428499159837293/625000000000000000000000000000 x) (/.f64 (-.f64 648599070133835873532829296990356435388407301/3125000000000000000000000000000000000000 y) (*.f64 x x))))
	62.3b	(.f64 z (.f64 x (*.f64 -23298017199368982832548000000000/13033352773350869092174451844127 x)))
	48.5b	(.f64 (.f64 (sqrt.f64 (*.f64 x 104109730557/25000000000)) (sqrt.f64 x)) (sqrt.f64 104109730557/25000000000))
✓	41.6b	(*.f64 z -1000000000/23533438303)
	39.5b	(+.f64 (.f64 (-.f64 (.f64 z 500000000/23533438303) (.f64 -156699607947000000000/553822718361107519809 z)) x) (+.f64 (.f64 -1000000000/23533438303 z) (.f64 (.f64 x x) (-.f64 -137519416416/23533438303 (*.f64 z 23298017199368982832548000000000/13033352773350869092174451844127)))))
	31.9b	(+.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 -1000000000/23533438303 (.f64 y x)))

Compiler

Compiled 1252 to 941 computations (24.8% saved)

regimes1.2s (5%)

Counts

92 → 2

Calls

Call 1

Inputs
(*.f64 z -1000000000/23533438303)
(*.f64 x 104109730557/25000000000)
(*.f64 z -1000000000/23533438303)
(.f64 x (.f64 -1000000000/23533438303 y))
(.f64 -1000000000/23533438303 (.f64 y x))
(-.f64 (*.f64 104109730557/25000000000 x) 13764240537310136880149/125000000000000000000)
(*.f64 (+.f64 x -2) 104109730557/25000000000)
(.f64 z (-.f64 (.f64 168466327098500000000/553822718361107519809 x) 1000000000/23533438303))
(.f64 z (.f64 x (*.f64 -23298017199368982832548000000000/13033352773350869092174451844127 x)))
(.f64 (+.f64 x -2) (.f64 500000000/23533438303 z))
(+.f64 (.f64 y (.f64 x -1000000000/23533438303)) (*.f64 -1000000000/23533438303 z))
(+.f64 (.f64 (.f64 z 168466327098500000000/553822718361107519809) x) (*.f64 -1000000000/23533438303 z))
(+.f64 (.f64 168466327098500000000/553822718361107519809 (.f64 z x)) (*.f64 -1000000000/23533438303 z))
(.f64 x (+.f64 (.f64 -1000000000/23533438303 y) (*.f64 x -137519416416/23533438303)))
(*.f64 (+.f64 x -2) (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)))
(.f64 (-.f64 (.f64 (+.f64 (*.f64 -23298017199368982832548000000000/13033352773350869092174451844127 x) 168466327098500000000/553822718361107519809) x) 1000000000/23533438303) z)
(.f64 (+.f64 x -2) (-.f64 104109730557/25000000000 (.f64 12723143231740136880149/125000000000000000000 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 104109730557/25000000000 x) (.f64 2284450290879775841688574159837293/625000000000000000000000000000 (/.f64 1 x))) 13764240537310136880149/125000000000000000000)
(.f64 x (+.f64 (.f64 -1000000000/23533438303 y) (.f64 x (+.f64 -137519416416/23533438303 (.f64 y 168466327098500000000/553822718361107519809)))))
(.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 (-.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 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 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 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 (-.f64 (.f64 z 500000000/23533438303) (.f64 -156699607947000000000/553822718361107519809 z)) x) (+.f64 (.f64 -1000000000/23533438303 z) (.f64 (.f64 x x) (-.f64 -137519416416/23533438303 (*.f64 z 23298017199368982832548000000000/13033352773350869092174451844127)))))
(.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 (-.f64 (/.f64 161878373695374854434910217844194695190262201/15625000000000000000000000000000000000000 (.f64 x x)) 10838835996651139530249/625000000000000000000) (-.f64 (/.f64 -12723143231740136880149/125000000000000000000 x) 104109730557/25000000000)) (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (*.f64 x x))))
(.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 (.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 x 104109730557/25000000000))
(+.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 -1000000000/23533438303 (.f64 y x)))
(+.f64 (.f64 (-.f64 (.f64 500000000/23533438303 (+.f64 (.f64 -2 y) z)) (.f64 -156699607947000000000/553822718361107519809 z)) x) (+.f64 (.f64 -1000000000/23533438303 z) (.f64 (.f64 x x) (-.f64 -137519416416/23533438303 (.f64 z 23298017199368982832548000000000/13033352773350869092174451844127)))))
(/.f64 (.f64 (+.f64 (.f64 x 4297481763/31250000) 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 x 263505074721/1000000000)) x) 23533438303/500000000))
(/.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 (-.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 x 263505074721/1000000000) 156699607947/500000000) 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 x (+.f64 263505074721/1000000000 (.f64 x 216700011257/5000000000)))) x) 23533438303/500000000))
(.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 (.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 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 (.f64 y x) (+.f64 23533438303/500000000 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 (.f64 (+.f64 216700011257/5000000000 x) x) 263505074721/1000000000) x)) x))) (/.f64 z (+.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 (+.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 z (+.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)))
(sqrt.f64 (.f64 10838835996651139530249/625000000000000000000 (.f64 x x)))
(.f64 y (.f64 x (fma.f64 x 168466327098500000000/553822718361107519809 -1000000000/23533438303)))
(.f64 z (fma.f64 x (+.f64 168466327098500000000/553822718361107519809 (.f64 x -23298017199368982832548000000000/13033352773350869092174451844127)) -1000000000/23533438303))
(+.f64 (fma.f64 x 104109730557/25000000000 -13764240537310136880149/125000000000000000000) (-.f64 (/.f64 2970286349119912390428499159837293/625000000000000000000000000000 x) (/.f64 (-.f64 648599070133835873532829296990356435388407301/3125000000000000000000000000000000000000 y) (*.f64 x x))))
(+.f64 (fma.f64 x 104109730557/25000000000 -13764240537310136880149/125000000000000000000) (-.f64 (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x) (/.f64 (-.f64 409304707811198655637810418659684985388407301/3125000000000000000000000000000000000000 y) (*.f64 x x))))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) 104109730557/25000000000) 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 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 x 3) 156699607947/500000000) x) 23533438303/500000000))
(/.f64 (.f64 (-.f64 x 2) (+.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) 104109730557/25000000000) 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 (+.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 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000))) 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 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000)) 156699607947/500000000) 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))))
(/.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 (fma.f64 (.f64 x x) x (.f64 216700011257/5000000000 (*.f64 x x))) 156699607947/500000000) x) 23533438303/500000000))
(+.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 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 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000))) x) 23533438303/500000000)))
(cbrt.f64 (pow.f64 (*.f64 x 104109730557/25000000000) 3))
(cbrt.f64 (*.f64 1128428295162862690821234941118693/15625000000000000000000000000000 (pow.f64 x 3)))
(pow.f64 (sqrt.f64 (*.f64 x 104109730557/25000000000)) 2)
(pow.f64 (cbrt.f64 (*.f64 x 104109730557/25000000000)) 3)
(.f64 (.f64 104109730557/25000000000 (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (sqrt.f64 (.f64 -1000000000/23533438303 (.f64 y x))) 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 216700011257/5000000000 (pow.f64 x 2)) (pow.f64 x 3)) 156699607947/500000000) x) 23533438303/500000000))
(/.f64 (.f64 (-.f64 x 2) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (pow.f64 (cbrt.f64 (.f64 x 104109730557/25000000000)) 3) 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 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 (pow.f64 (cbrt.f64 (.f64 104109730557/25000000000 x)) 3)) 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)))
(pow.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 104109730557/25000000000)) 2)
(.f64 (.f64 104109730557/25000000000 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) 104109730557/25000000000))
(.f64 (.f64 (sqrt.f64 (*.f64 x 104109730557/25000000000)) (sqrt.f64 x)) (sqrt.f64 104109730557/25000000000))
(.f64 (pow.f64 (cbrt.f64 (.f64 x 104109730557/25000000000)) 2) (cbrt.f64 (*.f64 x 104109730557/25000000000)))
(.f64 (pow.f64 (.f64 x 104109730557/25000000000) 1/4) (.f64 (pow.f64 (.f64 x 104109730557/25000000000) 1/4) (sqrt.f64 (*.f64 x 104109730557/25000000000))))
(.f64 (/.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)) y)
(fma.f64 (.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (sqrt.f64 (+.f64 x -2))) (sqrt.f64 (+.f64 x -2)) (/.f64 (.f64 (+.f64 x -2) (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 x)) x))
(fma.f64 (.f64 (+.f64 x -2) (sqrt.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)))) (sqrt.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x))) (/.f64 (.f64 (+.f64 x -2) (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 x)) x))
(.f64 (+.f64 x -2) (+.f64 (.f64 x (/.f64 y (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 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 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 (cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000)) 3)) 156699607947/500000000) x) 23533438303/500000000))
(/.f64 (+.f64 (pow.f64 (.f64 (+.f64 x -2) (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x))) 3) (pow.f64 (/.f64 (.f64 (+.f64 x -2) (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 x)) x) 3)) (fma.f64 (.f64 (+.f64 x -2) (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x))) (.f64 (+.f64 x -2) (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x))) (-.f64 (.f64 (/.f64 (.f64 (+.f64 x -2) (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 x)) x) (/.f64 (.f64 (+.f64 x -2) (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 x)) x)) (.f64 (.f64 (+.f64 x -2) (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x))) (/.f64 (.f64 (+.f64 x -2) (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 x)) x)))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 x -2) (+.f64 104109730557/25000000000 (fma.f64 2157218858562374472887084159837293/625000000000000000000000000000 (pow.f64 x -2) (/.f64 -12723143231740136880149/125000000000000000000 x)))) 3))
(*.f64 (+.f64 x -2) (/.f64 (fma.f64 x y z) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x -2)) 2) (.f64 (cbrt.f64 (+.f64 x -2)) (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x))) (/.f64 (.f64 (+.f64 x -2) (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 x)) x))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x))) 2) (.f64 (cbrt.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x))) (+.f64 x -2)) (/.f64 (.f64 (+.f64 x -2) (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 x)) x))
(/.f64 (.f64 (-.f64 x 2) (+.f64 (.f64 (+.f64 (exp.f64 (log.f64 (.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 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 (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 1 (/.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) (+.f64 x -2))))
(.f64 (+.f64 x -2) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (/.f64 (+.f64 (pow.f64 (.f64 x 104109730557/25000000000) 3) 60929246449480706651316240921050533/125000000000000000000000000000) (+.f64 (.f64 (.f64 x 104109730557/25000000000) (.f64 x 104109730557/25000000000)) (-.f64 154840252661040053153929/25000000000000000000 (.f64 x 40966914751699795586889/125000000000000000000)))) 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 (fma.f64 x (fma.f64 x (fma.f64 x (/.f64 (+.f64 (pow.f64 (.f64 x 104109730557/25000000000) 3) 60929246449480706651316240921050533/125000000000000000000000000000) (+.f64 (.f64 (.f64 x 104109730557/25000000000) (.f64 x 104109730557/25000000000)) (-.f64 154840252661040053153929/25000000000000000000 (.f64 (*.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 104109730557/25000000000 x 393497462077/5000000000) 4297481763/31250000) y) (/.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))))) 3)
(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)
(*.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))))

Outputs

(*.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 (fma.f64 x 104109730557/25000000000 -13764240537310136880149/125000000000000000000) (-.f64 (/.f64 2970286349119912390428499159837293/625000000000000000000000000000 x) (/.f64 (-.f64 648599070133835873532829296990356435388407301/3125000000000000000000000000000000000000 y) (*.f64 x x))))

Calls

4 calls:

463.0ms	z
291.0ms	y
189.0ms	x
161.0ms	(/.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`
19.4b	4	`y`
16.0b	7	`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 2195 to 1553 computations (29.2% saved)

bsearch3.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
1.0ms	1.1795882137530026e+305	+inf

Compiler

Compiled 46 to 34 computations (26.1% saved)

regimes1.4s (5.5%)

Counts

85 → 2

Calls

Call 1

Inputs
(*.f64 z -1000000000/23533438303)
(*.f64 x 104109730557/25000000000)
(*.f64 z -1000000000/23533438303)
(.f64 x (.f64 -1000000000/23533438303 y))
(.f64 -1000000000/23533438303 (.f64 y x))
(-.f64 (*.f64 104109730557/25000000000 x) 13764240537310136880149/125000000000000000000)
(*.f64 (+.f64 x -2) 104109730557/25000000000)
(.f64 z (-.f64 (.f64 168466327098500000000/553822718361107519809 x) 1000000000/23533438303))
(.f64 z (.f64 x (*.f64 -23298017199368982832548000000000/13033352773350869092174451844127 x)))
(.f64 (+.f64 x -2) (.f64 500000000/23533438303 z))
(+.f64 (.f64 y (.f64 x -1000000000/23533438303)) (*.f64 -1000000000/23533438303 z))
(+.f64 (.f64 (.f64 z 168466327098500000000/553822718361107519809) x) (*.f64 -1000000000/23533438303 z))
(+.f64 (.f64 168466327098500000000/553822718361107519809 (.f64 z x)) (*.f64 -1000000000/23533438303 z))
(.f64 x (+.f64 (.f64 -1000000000/23533438303 y) (*.f64 x -137519416416/23533438303)))
(*.f64 (+.f64 x -2) (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)))
(.f64 (-.f64 (.f64 (+.f64 (*.f64 -23298017199368982832548000000000/13033352773350869092174451844127 x) 168466327098500000000/553822718361107519809) x) 1000000000/23533438303) z)
(.f64 (+.f64 x -2) (-.f64 104109730557/25000000000 (.f64 12723143231740136880149/125000000000000000000 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 104109730557/25000000000 x) (.f64 2284450290879775841688574159837293/625000000000000000000000000000 (/.f64 1 x))) 13764240537310136880149/125000000000000000000)
(.f64 x (+.f64 (.f64 -1000000000/23533438303 y) (.f64 x (+.f64 -137519416416/23533438303 (.f64 y 168466327098500000000/553822718361107519809)))))
(.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 (-.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 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 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 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 (-.f64 (.f64 z 500000000/23533438303) (.f64 -156699607947000000000/553822718361107519809 z)) x) (+.f64 (.f64 -1000000000/23533438303 z) (.f64 (.f64 x x) (-.f64 -137519416416/23533438303 (*.f64 z 23298017199368982832548000000000/13033352773350869092174451844127)))))
(.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 (-.f64 (/.f64 161878373695374854434910217844194695190262201/15625000000000000000000000000000000000000 (.f64 x x)) 10838835996651139530249/625000000000000000000) (-.f64 (/.f64 -12723143231740136880149/125000000000000000000 x) 104109730557/25000000000)) (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (*.f64 x x))))
(.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 (.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 x 104109730557/25000000000))
(+.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 -1000000000/23533438303 (.f64 y x)))
(+.f64 (.f64 (-.f64 (.f64 500000000/23533438303 (+.f64 (.f64 -2 y) z)) (.f64 -156699607947000000000/553822718361107519809 z)) x) (+.f64 (.f64 -1000000000/23533438303 z) (.f64 (.f64 x x) (-.f64 -137519416416/23533438303 (.f64 z 23298017199368982832548000000000/13033352773350869092174451844127)))))
(/.f64 (.f64 (+.f64 (.f64 x 4297481763/31250000) 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 x 263505074721/1000000000)) x) 23533438303/500000000))
(/.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 (-.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 x 263505074721/1000000000) 156699607947/500000000) 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 x (+.f64 263505074721/1000000000 (.f64 x 216700011257/5000000000)))) x) 23533438303/500000000))
(.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 (.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 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 (.f64 y x) (+.f64 23533438303/500000000 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 (.f64 (+.f64 216700011257/5000000000 x) x) 263505074721/1000000000) x)) x))) (/.f64 z (+.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 (+.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 z (+.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)))
(sqrt.f64 (.f64 10838835996651139530249/625000000000000000000 (.f64 x x)))
(.f64 y (.f64 x (fma.f64 x 168466327098500000000/553822718361107519809 -1000000000/23533438303)))
(.f64 z (fma.f64 x (+.f64 168466327098500000000/553822718361107519809 (.f64 x -23298017199368982832548000000000/13033352773350869092174451844127)) -1000000000/23533438303))
(+.f64 (fma.f64 x 104109730557/25000000000 -13764240537310136880149/125000000000000000000) (-.f64 (/.f64 2970286349119912390428499159837293/625000000000000000000000000000 x) (/.f64 (-.f64 648599070133835873532829296990356435388407301/3125000000000000000000000000000000000000 y) (*.f64 x x))))
(+.f64 (fma.f64 x 104109730557/25000000000 -13764240537310136880149/125000000000000000000) (-.f64 (/.f64 2284450290879775841688574159837293/625000000000000000000000000000 x) (/.f64 (-.f64 409304707811198655637810418659684985388407301/3125000000000000000000000000000000000000 y) (*.f64 x x))))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) 104109730557/25000000000) 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 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 x 3) 156699607947/500000000) x) 23533438303/500000000))
(/.f64 (.f64 (-.f64 x 2) (+.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) 104109730557/25000000000) 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 (+.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 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000))) 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 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000)) 156699607947/500000000) 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))))
(/.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 (fma.f64 (.f64 x x) x (.f64 216700011257/5000000000 (*.f64 x x))) 156699607947/500000000) x) 23533438303/500000000))
(+.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 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 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000))) x) 23533438303/500000000)))
(cbrt.f64 (pow.f64 (*.f64 x 104109730557/25000000000) 3))
(cbrt.f64 (*.f64 1128428295162862690821234941118693/15625000000000000000000000000000 (pow.f64 x 3)))
(pow.f64 (sqrt.f64 (*.f64 x 104109730557/25000000000)) 2)
(pow.f64 (cbrt.f64 (*.f64 x 104109730557/25000000000)) 3)
(.f64 (.f64 104109730557/25000000000 (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (sqrt.f64 (.f64 -1000000000/23533438303 (.f64 y x))) 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 216700011257/5000000000 (pow.f64 x 2)) (pow.f64 x 3)) 156699607947/500000000) x) 23533438303/500000000))
(/.f64 (.f64 (-.f64 x 2) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (pow.f64 (cbrt.f64 (.f64 x 104109730557/25000000000)) 3) 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 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 (pow.f64 (cbrt.f64 (.f64 104109730557/25000000000 x)) 3)) 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)))
(pow.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 104109730557/25000000000)) 2)
(.f64 (.f64 104109730557/25000000000 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) 104109730557/25000000000))
(.f64 (.f64 (sqrt.f64 (*.f64 x 104109730557/25000000000)) (sqrt.f64 x)) (sqrt.f64 104109730557/25000000000))
(.f64 (pow.f64 (cbrt.f64 (.f64 x 104109730557/25000000000)) 2) (cbrt.f64 (*.f64 x 104109730557/25000000000)))
(.f64 (pow.f64 (.f64 x 104109730557/25000000000) 1/4) (.f64 (pow.f64 (.f64 x 104109730557/25000000000) 1/4) (sqrt.f64 (*.f64 x 104109730557/25000000000))))
(.f64 (/.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)) y)
(fma.f64 (.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (sqrt.f64 (+.f64 x -2))) (sqrt.f64 (+.f64 x -2)) (/.f64 (.f64 (+.f64 x -2) (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 x)) x))
(fma.f64 (.f64 (+.f64 x -2) (sqrt.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)))) (sqrt.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x))) (/.f64 (.f64 (+.f64 x -2) (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 x)) x))
(.f64 (+.f64 x -2) (+.f64 (.f64 x (/.f64 y (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 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 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 (cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000)) 3)) 156699607947/500000000) x) 23533438303/500000000))
(/.f64 (+.f64 (pow.f64 (.f64 (+.f64 x -2) (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x))) 3) (pow.f64 (/.f64 (.f64 (+.f64 x -2) (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 x)) x) 3)) (fma.f64 (.f64 (+.f64 x -2) (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x))) (.f64 (+.f64 x -2) (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x))) (-.f64 (.f64 (/.f64 (.f64 (+.f64 x -2) (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 x)) x) (/.f64 (.f64 (+.f64 x -2) (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 x)) x)) (.f64 (.f64 (+.f64 x -2) (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x))) (/.f64 (.f64 (+.f64 x -2) (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 x)) x)))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 x -2) (+.f64 104109730557/25000000000 (fma.f64 2157218858562374472887084159837293/625000000000000000000000000000 (pow.f64 x -2) (/.f64 -12723143231740136880149/125000000000000000000 x)))) 3))
(*.f64 (+.f64 x -2) (/.f64 (fma.f64 x y z) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 x 216700011257/5000000000) 263505074721/1000000000) 156699607947/500000000) 23533438303/500000000)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x -2)) 2) (.f64 (cbrt.f64 (+.f64 x -2)) (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x))) (/.f64 (.f64 (+.f64 x -2) (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 x)) x))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x))) 2) (.f64 (cbrt.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x))) (+.f64 x -2)) (/.f64 (.f64 (+.f64 x -2) (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 x)) x))
(/.f64 (.f64 (-.f64 x 2) (+.f64 (.f64 (+.f64 (exp.f64 (log.f64 (.f64 x (fma.f64 x (fma.f64 x 104109730557/25000000000 393497462077/5000000000) 4297481763/31250000)))) 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 x -2) (+.f64 (/.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 z (+.f64 (*.f64 (+.f64 156699607947/500000000 (*.f64 (+.f64 263505074721/1000000000 (*.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000))))

(+.f64 (fma.f64 x 104109730557/25000000000 -13764240537310136880149/125000000000000000000) (-.f64 (/.f64 2970286349119912390428499159837293/625000000000000000000000000000 x) (/.f64 (-.f64 648599070133835873532829296990356435388407301/3125000000000000000000000000000000000000 y) (*.f64 x x))))

Calls

4 calls:

507.0ms	z
381.0ms	x
237.0ms	y
129.0ms	(/.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`
19.4b	4	`y`
16.0b	7	`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 1927 to 1371 computations (28.9% saved)

bsearch3.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.1795882137530026e+305	+inf

Compiler

Compiled 46 to 34 computations (26.1% saved)

regimes907.0ms (3.7%)

Counts

47 → 3

Calls

Call 1

Inputs
(*.f64 z -1000000000/23533438303)
(*.f64 x 104109730557/25000000000)
(*.f64 z -1000000000/23533438303)
(.f64 x (.f64 -1000000000/23533438303 y))
(.f64 -1000000000/23533438303 (.f64 y x))
(-.f64 (*.f64 104109730557/25000000000 x) 13764240537310136880149/125000000000000000000)
(*.f64 (+.f64 x -2) 104109730557/25000000000)
(.f64 z (-.f64 (.f64 168466327098500000000/553822718361107519809 x) 1000000000/23533438303))
(.f64 z (.f64 x (*.f64 -23298017199368982832548000000000/13033352773350869092174451844127 x)))
(.f64 (+.f64 x -2) (.f64 500000000/23533438303 z))
(+.f64 (.f64 y (.f64 x -1000000000/23533438303)) (*.f64 -1000000000/23533438303 z))
(+.f64 (.f64 (.f64 z 168466327098500000000/553822718361107519809) x) (*.f64 -1000000000/23533438303 z))
(+.f64 (.f64 168466327098500000000/553822718361107519809 (.f64 z x)) (*.f64 -1000000000/23533438303 z))
(.f64 x (+.f64 (.f64 -1000000000/23533438303 y) (*.f64 x -137519416416/23533438303)))
(*.f64 (+.f64 x -2) (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)))
(.f64 (-.f64 (.f64 (+.f64 (*.f64 -23298017199368982832548000000000/13033352773350869092174451844127 x) 168466327098500000000/553822718361107519809) x) 1000000000/23533438303) z)
(.f64 (+.f64 x -2) (-.f64 104109730557/25000000000 (.f64 12723143231740136880149/125000000000000000000 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 104109730557/25000000000 x) (.f64 2284450290879775841688574159837293/625000000000000000000000000000 (/.f64 1 x))) 13764240537310136880149/125000000000000000000)
(.f64 x (+.f64 (.f64 -1000000000/23533438303 y) (.f64 x (+.f64 -137519416416/23533438303 (.f64 y 168466327098500000000/553822718361107519809)))))
(.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 (-.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 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 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 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 (-.f64 (.f64 z 500000000/23533438303) (.f64 -156699607947000000000/553822718361107519809 z)) x) (+.f64 (.f64 -1000000000/23533438303 z) (.f64 (.f64 x x) (-.f64 -137519416416/23533438303 (*.f64 z 23298017199368982832548000000000/13033352773350869092174451844127)))))
(.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 (-.f64 (/.f64 161878373695374854434910217844194695190262201/15625000000000000000000000000000000000000 (.f64 x x)) 10838835996651139530249/625000000000000000000) (-.f64 (/.f64 -12723143231740136880149/125000000000000000000 x) 104109730557/25000000000)) (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (*.f64 x x))))
(.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 (.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 x 104109730557/25000000000))
(+.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 -1000000000/23533438303 (.f64 y x)))
(+.f64 (.f64 (-.f64 (.f64 500000000/23533438303 (+.f64 (.f64 -2 y) z)) (.f64 -156699607947000000000/553822718361107519809 z)) x) (+.f64 (.f64 -1000000000/23533438303 z) (.f64 (.f64 x x) (-.f64 -137519416416/23533438303 (.f64 z 23298017199368982832548000000000/13033352773350869092174451844127)))))
(/.f64 (.f64 (+.f64 (.f64 x 4297481763/31250000) 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 x 263505074721/1000000000)) x) 23533438303/500000000))
(/.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 (-.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 x 263505074721/1000000000) 156699607947/500000000) 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 x (+.f64 263505074721/1000000000 (.f64 x 216700011257/5000000000)))) x) 23533438303/500000000))
(.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 (.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 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 (.f64 y x) (+.f64 23533438303/500000000 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 (.f64 (+.f64 216700011257/5000000000 x) x) 263505074721/1000000000) x)) x))) (/.f64 z (+.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 (+.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 z (+.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)))
(sqrt.f64 (.f64 10838835996651139530249/625000000000000000000 (.f64 x x)))
(.f64 y (.f64 x (fma.f64 x 168466327098500000000/553822718361107519809 -1000000000/23533438303)))
(.f64 z (fma.f64 x (+.f64 168466327098500000000/553822718361107519809 (.f64 x -23298017199368982832548000000000/13033352773350869092174451844127)) -1000000000/23533438303))

Outputs

(*.f64 x 104109730557/25000000000)

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

(*.f64 x 104109730557/25000000000)

Calls

4 calls:

444.0ms	z
224.0ms	y
111.0ms	x
72.0ms	(/.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
0.9b	3	`x`
19.5b	4	`y`
16.0b	7	`z`
0.9b	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 929 to 651 computations (29.9% saved)

bsearch93.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
42.0ms	1.5499563196525152e+32	6.529075947725305e+32
50.0ms	-2.141509995504274e+59	-7.111599167251958e+53

Compiler

Compiled 46 to 34 computations (26.1% saved)

regimes385.0ms (1.6%)

Counts

42 → 3

Calls

Call 1

Inputs
(*.f64 z -1000000000/23533438303)
(*.f64 x 104109730557/25000000000)
(*.f64 z -1000000000/23533438303)
(.f64 x (.f64 -1000000000/23533438303 y))
(.f64 -1000000000/23533438303 (.f64 y x))
(-.f64 (*.f64 104109730557/25000000000 x) 13764240537310136880149/125000000000000000000)
(*.f64 (+.f64 x -2) 104109730557/25000000000)
(.f64 z (-.f64 (.f64 168466327098500000000/553822718361107519809 x) 1000000000/23533438303))
(.f64 z (.f64 x (*.f64 -23298017199368982832548000000000/13033352773350869092174451844127 x)))
(.f64 (+.f64 x -2) (.f64 500000000/23533438303 z))
(+.f64 (.f64 y (.f64 x -1000000000/23533438303)) (*.f64 -1000000000/23533438303 z))
(+.f64 (.f64 (.f64 z 168466327098500000000/553822718361107519809) x) (*.f64 -1000000000/23533438303 z))
(+.f64 (.f64 168466327098500000000/553822718361107519809 (.f64 z x)) (*.f64 -1000000000/23533438303 z))
(.f64 x (+.f64 (.f64 -1000000000/23533438303 y) (*.f64 x -137519416416/23533438303)))
(*.f64 (+.f64 x -2) (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)))
(.f64 (-.f64 (.f64 (+.f64 (*.f64 -23298017199368982832548000000000/13033352773350869092174451844127 x) 168466327098500000000/553822718361107519809) x) 1000000000/23533438303) z)
(.f64 (+.f64 x -2) (-.f64 104109730557/25000000000 (.f64 12723143231740136880149/125000000000000000000 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 104109730557/25000000000 x) (.f64 2284450290879775841688574159837293/625000000000000000000000000000 (/.f64 1 x))) 13764240537310136880149/125000000000000000000)
(.f64 x (+.f64 (.f64 -1000000000/23533438303 y) (.f64 x (+.f64 -137519416416/23533438303 (.f64 y 168466327098500000000/553822718361107519809)))))
(.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 (-.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 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 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 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 (-.f64 (.f64 z 500000000/23533438303) (.f64 -156699607947000000000/553822718361107519809 z)) x) (+.f64 (.f64 -1000000000/23533438303 z) (.f64 (.f64 x x) (-.f64 -137519416416/23533438303 (*.f64 z 23298017199368982832548000000000/13033352773350869092174451844127)))))
(.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 (-.f64 (/.f64 161878373695374854434910217844194695190262201/15625000000000000000000000000000000000000 (.f64 x x)) 10838835996651139530249/625000000000000000000) (-.f64 (/.f64 -12723143231740136880149/125000000000000000000 x) 104109730557/25000000000)) (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (*.f64 x x))))
(.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 (.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 x 104109730557/25000000000))
(+.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 -1000000000/23533438303 (.f64 y x)))
(+.f64 (.f64 (-.f64 (.f64 500000000/23533438303 (+.f64 (.f64 -2 y) z)) (.f64 -156699607947000000000/553822718361107519809 z)) x) (+.f64 (.f64 -1000000000/23533438303 z) (.f64 (.f64 x x) (-.f64 -137519416416/23533438303 (.f64 z 23298017199368982832548000000000/13033352773350869092174451844127)))))
(/.f64 (.f64 (+.f64 (.f64 x 4297481763/31250000) 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 x 263505074721/1000000000)) x) 23533438303/500000000))
(/.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 (-.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 x 263505074721/1000000000) 156699607947/500000000) 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 x (+.f64 263505074721/1000000000 (.f64 x 216700011257/5000000000)))) x) 23533438303/500000000))
(.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 (.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 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 (.f64 y x) (+.f64 23533438303/500000000 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 (.f64 (+.f64 216700011257/5000000000 x) x) 263505074721/1000000000) x)) x))) (/.f64 z (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000))))

Outputs

(*.f64 x 104109730557/25000000000)

(/.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)

Calls

4 calls:

151.0ms	z
92.0ms	y
81.0ms	x
35.0ms	(/.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
1.2b	3	`x`
19.5b	4	`y`
16.3b	7	`z`
1.9b	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 795 to 557 computations (29.9% saved)

bsearch148.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
74.0ms	1.5499563196525152e+32	6.529075947725305e+32
72.0ms	-7.111599167251958e+53	-1.5030637137372282e+47

Compiler

Compiled 46 to 34 computations (26.1% saved)

regimes373.0ms (1.5%)

Counts

40 → 3

Calls

Call 1

Inputs
(*.f64 z -1000000000/23533438303)
(*.f64 x 104109730557/25000000000)
(*.f64 z -1000000000/23533438303)
(.f64 x (.f64 -1000000000/23533438303 y))
(.f64 -1000000000/23533438303 (.f64 y x))
(-.f64 (*.f64 104109730557/25000000000 x) 13764240537310136880149/125000000000000000000)
(*.f64 (+.f64 x -2) 104109730557/25000000000)
(.f64 z (-.f64 (.f64 168466327098500000000/553822718361107519809 x) 1000000000/23533438303))
(.f64 z (.f64 x (*.f64 -23298017199368982832548000000000/13033352773350869092174451844127 x)))
(.f64 (+.f64 x -2) (.f64 500000000/23533438303 z))
(+.f64 (.f64 y (.f64 x -1000000000/23533438303)) (*.f64 -1000000000/23533438303 z))
(+.f64 (.f64 (.f64 z 168466327098500000000/553822718361107519809) x) (*.f64 -1000000000/23533438303 z))
(+.f64 (.f64 168466327098500000000/553822718361107519809 (.f64 z x)) (*.f64 -1000000000/23533438303 z))
(.f64 x (+.f64 (.f64 -1000000000/23533438303 y) (*.f64 x -137519416416/23533438303)))
(*.f64 (+.f64 x -2) (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)))
(.f64 (-.f64 (.f64 (+.f64 (*.f64 -23298017199368982832548000000000/13033352773350869092174451844127 x) 168466327098500000000/553822718361107519809) x) 1000000000/23533438303) z)
(.f64 (+.f64 x -2) (-.f64 104109730557/25000000000 (.f64 12723143231740136880149/125000000000000000000 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 104109730557/25000000000 x) (.f64 2284450290879775841688574159837293/625000000000000000000000000000 (/.f64 1 x))) 13764240537310136880149/125000000000000000000)
(.f64 x (+.f64 (.f64 -1000000000/23533438303 y) (.f64 x (+.f64 -137519416416/23533438303 (.f64 y 168466327098500000000/553822718361107519809)))))
(.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 (-.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 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 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 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 (-.f64 (.f64 z 500000000/23533438303) (.f64 -156699607947000000000/553822718361107519809 z)) x) (+.f64 (.f64 -1000000000/23533438303 z) (.f64 (.f64 x x) (-.f64 -137519416416/23533438303 (*.f64 z 23298017199368982832548000000000/13033352773350869092174451844127)))))
(.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 (-.f64 (/.f64 161878373695374854434910217844194695190262201/15625000000000000000000000000000000000000 (.f64 x x)) 10838835996651139530249/625000000000000000000) (-.f64 (/.f64 -12723143231740136880149/125000000000000000000 x) 104109730557/25000000000)) (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (*.f64 x x))))
(.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 (.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 x 104109730557/25000000000))
(+.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 -1000000000/23533438303 (.f64 y x)))
(+.f64 (.f64 (-.f64 (.f64 500000000/23533438303 (+.f64 (.f64 -2 y) z)) (.f64 -156699607947000000000/553822718361107519809 z)) x) (+.f64 (.f64 -1000000000/23533438303 z) (.f64 (.f64 x x) (-.f64 -137519416416/23533438303 (.f64 z 23298017199368982832548000000000/13033352773350869092174451844127)))))
(/.f64 (.f64 (+.f64 (.f64 x 4297481763/31250000) 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 x 263505074721/1000000000)) x) 23533438303/500000000))
(/.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 (-.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 x 263505074721/1000000000) 156699607947/500000000) 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 x (+.f64 263505074721/1000000000 (.f64 x 216700011257/5000000000)))) x) 23533438303/500000000))
(.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 (.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))

Outputs

(*.f64 x 104109730557/25000000000)

(/.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 104109730557/25000000000)

Calls

3 calls:

171.0ms	z
115.0ms	y
53.0ms	x

Results

Error	Segments	Branch
2.1b	3	`x`
19.5b	4	`y`
16.5b	7	`z`

Compiler

Compiled 677 to 474 computations (30% saved)

bsearch85.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
41.0ms	1.5499563196525152e+32	6.529075947725305e+32
43.0ms	-1.4956005700453875e+40	-4.41041960373387e+36

Compiler

Compiled 46 to 34 computations (26.1% saved)

regimes337.0ms (1.4%)

Counts

35 → 3

Calls

Call 1

Inputs
(*.f64 z -1000000000/23533438303)
(*.f64 x 104109730557/25000000000)
(*.f64 z -1000000000/23533438303)
(.f64 x (.f64 -1000000000/23533438303 y))
(.f64 -1000000000/23533438303 (.f64 y x))
(-.f64 (*.f64 104109730557/25000000000 x) 13764240537310136880149/125000000000000000000)
(*.f64 (+.f64 x -2) 104109730557/25000000000)
(.f64 z (-.f64 (.f64 168466327098500000000/553822718361107519809 x) 1000000000/23533438303))
(.f64 z (.f64 x (*.f64 -23298017199368982832548000000000/13033352773350869092174451844127 x)))
(.f64 (+.f64 x -2) (.f64 500000000/23533438303 z))
(+.f64 (.f64 y (.f64 x -1000000000/23533438303)) (*.f64 -1000000000/23533438303 z))
(+.f64 (.f64 (.f64 z 168466327098500000000/553822718361107519809) x) (*.f64 -1000000000/23533438303 z))
(+.f64 (.f64 168466327098500000000/553822718361107519809 (.f64 z x)) (*.f64 -1000000000/23533438303 z))
(.f64 x (+.f64 (.f64 -1000000000/23533438303 y) (*.f64 x -137519416416/23533438303)))
(*.f64 (+.f64 x -2) (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)))
(.f64 (-.f64 (.f64 (+.f64 (*.f64 -23298017199368982832548000000000/13033352773350869092174451844127 x) 168466327098500000000/553822718361107519809) x) 1000000000/23533438303) z)
(.f64 (+.f64 x -2) (-.f64 104109730557/25000000000 (.f64 12723143231740136880149/125000000000000000000 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 104109730557/25000000000 x) (.f64 2284450290879775841688574159837293/625000000000000000000000000000 (/.f64 1 x))) 13764240537310136880149/125000000000000000000)
(.f64 x (+.f64 (.f64 -1000000000/23533438303 y) (.f64 x (+.f64 -137519416416/23533438303 (.f64 y 168466327098500000000/553822718361107519809)))))
(.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 (-.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 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 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 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 (-.f64 (.f64 z 500000000/23533438303) (.f64 -156699607947000000000/553822718361107519809 z)) x) (+.f64 (.f64 -1000000000/23533438303 z) (.f64 (.f64 x x) (-.f64 -137519416416/23533438303 (*.f64 z 23298017199368982832548000000000/13033352773350869092174451844127)))))
(.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 (-.f64 (/.f64 161878373695374854434910217844194695190262201/15625000000000000000000000000000000000000 (.f64 x x)) 10838835996651139530249/625000000000000000000) (-.f64 (/.f64 -12723143231740136880149/125000000000000000000 x) 104109730557/25000000000)) (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (*.f64 x x))))
(.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 (.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 x 104109730557/25000000000))
(+.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 -1000000000/23533438303 (.f64 y x)))
(+.f64 (.f64 (-.f64 (.f64 500000000/23533438303 (+.f64 (.f64 -2 y) z)) (.f64 -156699607947000000000/553822718361107519809 z)) x) (+.f64 (.f64 -1000000000/23533438303 z) (.f64 (.f64 x x) (-.f64 -137519416416/23533438303 (.f64 z 23298017199368982832548000000000/13033352773350869092174451844127)))))
(/.f64 (.f64 (+.f64 (.f64 x 4297481763/31250000) 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 x 263505074721/1000000000)) x) 23533438303/500000000))

Outputs

(*.f64 x 104109730557/25000000000)

(+.f64 (*.f64 (-.f64 (*.f64 500000000/23533438303 (+.f64 (*.f64 -2 y) z)) (*.f64 -156699607947000000000/553822718361107519809 z)) x) (+.f64 (*.f64 -1000000000/23533438303 z) (*.f64 (*.f64 x x) (-.f64 -137519416416/23533438303 (*.f64 z 23298017199368982832548000000000/13033352773350869092174451844127)))))

(*.f64 x 104109730557/25000000000)

Calls

3 calls:

132.0ms	z
131.0ms	y
56.0ms	x

Results

Error	Segments	Branch
4.1b	3	`x`
19.5b	4	`y`
16.7b	7	`z`

Compiler

Compiled 514 to 358 computations (30.4% saved)

bsearch87.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
43.0ms	0.0081722048621715	25738889834.392353
43.0ms	-8.395598664883283e+20	-30380448827.187717

Compiler

Compiled 46 to 34 computations (26.1% saved)

regimes251.0ms (1%)

Counts

32 → 3

Calls

Call 1

Inputs
(*.f64 z -1000000000/23533438303)
(*.f64 x 104109730557/25000000000)
(*.f64 z -1000000000/23533438303)
(.f64 x (.f64 -1000000000/23533438303 y))
(.f64 -1000000000/23533438303 (.f64 y x))
(-.f64 (*.f64 104109730557/25000000000 x) 13764240537310136880149/125000000000000000000)
(*.f64 (+.f64 x -2) 104109730557/25000000000)
(.f64 z (-.f64 (.f64 168466327098500000000/553822718361107519809 x) 1000000000/23533438303))
(.f64 z (.f64 x (*.f64 -23298017199368982832548000000000/13033352773350869092174451844127 x)))
(.f64 (+.f64 x -2) (.f64 500000000/23533438303 z))
(+.f64 (.f64 y (.f64 x -1000000000/23533438303)) (*.f64 -1000000000/23533438303 z))
(+.f64 (.f64 (.f64 z 168466327098500000000/553822718361107519809) x) (*.f64 -1000000000/23533438303 z))
(+.f64 (.f64 168466327098500000000/553822718361107519809 (.f64 z x)) (*.f64 -1000000000/23533438303 z))
(.f64 x (+.f64 (.f64 -1000000000/23533438303 y) (*.f64 x -137519416416/23533438303)))
(*.f64 (+.f64 x -2) (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)))
(.f64 (-.f64 (.f64 (+.f64 (*.f64 -23298017199368982832548000000000/13033352773350869092174451844127 x) 168466327098500000000/553822718361107519809) x) 1000000000/23533438303) z)
(.f64 (+.f64 x -2) (-.f64 104109730557/25000000000 (.f64 12723143231740136880149/125000000000000000000 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 104109730557/25000000000 x) (.f64 2284450290879775841688574159837293/625000000000000000000000000000 (/.f64 1 x))) 13764240537310136880149/125000000000000000000)
(.f64 x (+.f64 (.f64 -1000000000/23533438303 y) (.f64 x (+.f64 -137519416416/23533438303 (.f64 y 168466327098500000000/553822718361107519809)))))
(.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 (-.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 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 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 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 (-.f64 (.f64 z 500000000/23533438303) (.f64 -156699607947000000000/553822718361107519809 z)) x) (+.f64 (.f64 -1000000000/23533438303 z) (.f64 (.f64 x x) (-.f64 -137519416416/23533438303 (*.f64 z 23298017199368982832548000000000/13033352773350869092174451844127)))))
(.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 (-.f64 (/.f64 161878373695374854434910217844194695190262201/15625000000000000000000000000000000000000 (.f64 x x)) 10838835996651139530249/625000000000000000000) (-.f64 (/.f64 -12723143231740136880149/125000000000000000000 x) 104109730557/25000000000)) (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (*.f64 x x))))
(.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 (.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 x 104109730557/25000000000))
(+.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 -1000000000/23533438303 (.f64 y x)))

Outputs

(*.f64 x 104109730557/25000000000)

(+.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 -1000000000/23533438303 (*.f64 y x)))

(*.f64 x 104109730557/25000000000)

Calls

3 calls:

108.0ms	z
80.0ms	y
49.0ms	x

Results

Error	Segments	Branch
5.5b	3	`x`
19.5b	4	`y`
17.1b	7	`z`

Compiler

Compiled 431 to 300 computations (30.4% saved)

bsearch85.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
42.0ms	1.5499563196525152e+32	6.529075947725305e+32
42.0ms	-1.4956005700453875e+40	-4.41041960373387e+36

Compiler

Compiled 46 to 34 computations (26.1% saved)

regimes243.0ms (1%)

Counts

31 → 4

Calls

Call 1

Inputs
(*.f64 z -1000000000/23533438303)
(*.f64 x 104109730557/25000000000)
(*.f64 z -1000000000/23533438303)
(.f64 x (.f64 -1000000000/23533438303 y))
(.f64 -1000000000/23533438303 (.f64 y x))
(-.f64 (*.f64 104109730557/25000000000 x) 13764240537310136880149/125000000000000000000)
(*.f64 (+.f64 x -2) 104109730557/25000000000)
(.f64 z (-.f64 (.f64 168466327098500000000/553822718361107519809 x) 1000000000/23533438303))
(.f64 z (.f64 x (*.f64 -23298017199368982832548000000000/13033352773350869092174451844127 x)))
(.f64 (+.f64 x -2) (.f64 500000000/23533438303 z))
(+.f64 (.f64 y (.f64 x -1000000000/23533438303)) (*.f64 -1000000000/23533438303 z))
(+.f64 (.f64 (.f64 z 168466327098500000000/553822718361107519809) x) (*.f64 -1000000000/23533438303 z))
(+.f64 (.f64 168466327098500000000/553822718361107519809 (.f64 z x)) (*.f64 -1000000000/23533438303 z))
(.f64 x (+.f64 (.f64 -1000000000/23533438303 y) (*.f64 x -137519416416/23533438303)))
(*.f64 (+.f64 x -2) (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)))
(.f64 (-.f64 (.f64 (+.f64 (*.f64 -23298017199368982832548000000000/13033352773350869092174451844127 x) 168466327098500000000/553822718361107519809) x) 1000000000/23533438303) z)
(.f64 (+.f64 x -2) (-.f64 104109730557/25000000000 (.f64 12723143231740136880149/125000000000000000000 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 104109730557/25000000000 x) (.f64 2284450290879775841688574159837293/625000000000000000000000000000 (/.f64 1 x))) 13764240537310136880149/125000000000000000000)
(.f64 x (+.f64 (.f64 -1000000000/23533438303 y) (.f64 x (+.f64 -137519416416/23533438303 (.f64 y 168466327098500000000/553822718361107519809)))))
(.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 (-.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 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 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 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 (-.f64 (.f64 z 500000000/23533438303) (.f64 -156699607947000000000/553822718361107519809 z)) x) (+.f64 (.f64 -1000000000/23533438303 z) (.f64 (.f64 x x) (-.f64 -137519416416/23533438303 (*.f64 z 23298017199368982832548000000000/13033352773350869092174451844127)))))
(.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 (-.f64 (/.f64 161878373695374854434910217844194695190262201/15625000000000000000000000000000000000000 (.f64 x x)) 10838835996651139530249/625000000000000000000) (-.f64 (/.f64 -12723143231740136880149/125000000000000000000 x) 104109730557/25000000000)) (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (*.f64 x x))))
(.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 (.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 x 104109730557/25000000000))

Outputs
(*.f64 x 104109730557/25000000000)
(+.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 x 104109730557/25000000000))
(+.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:

108.0ms	z
64.0ms	y
60.0ms	x

Results

Error	Segments	Branch
5.7b	4	`x`
19.5b	4	`y`
17.1b	7	`z`

Compiler

Compiled 404 to 282 computations (30.2% saved)

bsearch132.0ms (0.5%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
41.0ms	25738889834.392353	3.715512863153867e+24
47.0ms	-4.4604553784732294e-33	-1.3390885475518395e-44
44.0ms	-7.111599167251958e+53	-1.5030637137372282e+47

Compiler

Compiled 46 to 34 computations (26.1% saved)

regimes747.0ms (3%)

Counts

30 → 3

Calls

Call 1

Inputs
(*.f64 z -1000000000/23533438303)
(*.f64 x 104109730557/25000000000)
(*.f64 z -1000000000/23533438303)
(.f64 x (.f64 -1000000000/23533438303 y))
(.f64 -1000000000/23533438303 (.f64 y x))
(-.f64 (*.f64 104109730557/25000000000 x) 13764240537310136880149/125000000000000000000)
(*.f64 (+.f64 x -2) 104109730557/25000000000)
(.f64 z (-.f64 (.f64 168466327098500000000/553822718361107519809 x) 1000000000/23533438303))
(.f64 z (.f64 x (*.f64 -23298017199368982832548000000000/13033352773350869092174451844127 x)))
(.f64 (+.f64 x -2) (.f64 500000000/23533438303 z))
(+.f64 (.f64 y (.f64 x -1000000000/23533438303)) (*.f64 -1000000000/23533438303 z))
(+.f64 (.f64 (.f64 z 168466327098500000000/553822718361107519809) x) (*.f64 -1000000000/23533438303 z))
(+.f64 (.f64 168466327098500000000/553822718361107519809 (.f64 z x)) (*.f64 -1000000000/23533438303 z))
(.f64 x (+.f64 (.f64 -1000000000/23533438303 y) (*.f64 x -137519416416/23533438303)))
(*.f64 (+.f64 x -2) (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)))
(.f64 (-.f64 (.f64 (+.f64 (*.f64 -23298017199368982832548000000000/13033352773350869092174451844127 x) 168466327098500000000/553822718361107519809) x) 1000000000/23533438303) z)
(.f64 (+.f64 x -2) (-.f64 104109730557/25000000000 (.f64 12723143231740136880149/125000000000000000000 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 104109730557/25000000000 x) (.f64 2284450290879775841688574159837293/625000000000000000000000000000 (/.f64 1 x))) 13764240537310136880149/125000000000000000000)
(.f64 x (+.f64 (.f64 -1000000000/23533438303 y) (.f64 x (+.f64 -137519416416/23533438303 (.f64 y 168466327098500000000/553822718361107519809)))))
(.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 (-.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 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 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 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 (-.f64 (.f64 z 500000000/23533438303) (.f64 -156699607947000000000/553822718361107519809 z)) x) (+.f64 (.f64 -1000000000/23533438303 z) (.f64 (.f64 x x) (-.f64 -137519416416/23533438303 (*.f64 z 23298017199368982832548000000000/13033352773350869092174451844127)))))
(.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 (-.f64 (/.f64 161878373695374854434910217844194695190262201/15625000000000000000000000000000000000000 (.f64 x x)) 10838835996651139530249/625000000000000000000) (-.f64 (/.f64 -12723143231740136880149/125000000000000000000 x) 104109730557/25000000000)) (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (*.f64 x x))))
(.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 x 104109730557/25000000000)

(+.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:

377.0ms	y
294.0ms	z
63.0ms	x

Results

Error	Segments	Branch
6.8b	3	`x`
21.4b	15	`y`
21.7b	12	`z`

Compiler

Compiled 379 to 264 computations (30.3% saved)

bsearch86.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
42.0ms	25738889834.392353	3.715512863153867e+24
43.0ms	-1.4956005700453875e+40	-4.41041960373387e+36

Compiler

Compiled 46 to 34 computations (26.1% saved)

regimes457.0ms (1.9%)

Counts

20 → 3

Calls

Call 1

Inputs
(*.f64 z -1000000000/23533438303)
(*.f64 x 104109730557/25000000000)
(*.f64 z -1000000000/23533438303)
(.f64 x (.f64 -1000000000/23533438303 y))
(.f64 -1000000000/23533438303 (.f64 y x))
(-.f64 (*.f64 104109730557/25000000000 x) 13764240537310136880149/125000000000000000000)
(*.f64 (+.f64 x -2) 104109730557/25000000000)
(.f64 z (-.f64 (.f64 168466327098500000000/553822718361107519809 x) 1000000000/23533438303))
(.f64 z (.f64 x (*.f64 -23298017199368982832548000000000/13033352773350869092174451844127 x)))
(.f64 (+.f64 x -2) (.f64 500000000/23533438303 z))
(+.f64 (.f64 y (.f64 x -1000000000/23533438303)) (*.f64 -1000000000/23533438303 z))
(+.f64 (.f64 (.f64 z 168466327098500000000/553822718361107519809) x) (*.f64 -1000000000/23533438303 z))
(+.f64 (.f64 168466327098500000000/553822718361107519809 (.f64 z x)) (*.f64 -1000000000/23533438303 z))
(.f64 x (+.f64 (.f64 -1000000000/23533438303 y) (*.f64 x -137519416416/23533438303)))
(*.f64 (+.f64 x -2) (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)))
(.f64 (-.f64 (.f64 (+.f64 (*.f64 -23298017199368982832548000000000/13033352773350869092174451844127 x) 168466327098500000000/553822718361107519809) x) 1000000000/23533438303) z)
(.f64 (+.f64 x -2) (-.f64 104109730557/25000000000 (.f64 12723143231740136880149/125000000000000000000 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 104109730557/25000000000 x) (.f64 2284450290879775841688574159837293/625000000000000000000000000000 (/.f64 1 x))) 13764240537310136880149/125000000000000000000)
(.f64 x (+.f64 (.f64 -1000000000/23533438303 y) (.f64 x (+.f64 -137519416416/23533438303 (.f64 y 168466327098500000000/553822718361107519809)))))
(.f64 (+.f64 x -2) (+.f64 (+.f64 104109730557/25000000000 (/.f64 -12723143231740136880149/125000000000000000000 x)) (/.f64 2157218858562374472887084159837293/625000000000000000000000000000 (.f64 x x))))

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

Calls

3 calls:

226.0ms	y
173.0ms	z
51.0ms	x

Results

Error	Segments	Branch
6.8b	3	`x`
23.9b	13	`y`
22.1b	12	`z`

Compiler

Compiled 171 to 123 computations (28.1% saved)

bsearch128.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
62.0ms	0.0081722048621715	25738889834.392353
65.0ms	-1.4956005700453875e+40	-4.41041960373387e+36

Compiler

Compiled 46 to 34 computations (26.1% saved)

regimes250.0ms (1%)

Counts

10 → 3

Calls

Call 1

Inputs
(*.f64 z -1000000000/23533438303)
(*.f64 x 104109730557/25000000000)
(*.f64 z -1000000000/23533438303)
(.f64 x (.f64 -1000000000/23533438303 y))
(.f64 -1000000000/23533438303 (.f64 y x))
(-.f64 (*.f64 104109730557/25000000000 x) 13764240537310136880149/125000000000000000000)
(*.f64 (+.f64 x -2) 104109730557/25000000000)
(.f64 z (-.f64 (.f64 168466327098500000000/553822718361107519809 x) 1000000000/23533438303))
(.f64 z (.f64 x (*.f64 -23298017199368982832548000000000/13033352773350869092174451844127 x)))
(.f64 (+.f64 x -2) (.f64 500000000/23533438303 z))

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

Calls

3 calls:

118.0ms	z
97.0ms	y
30.0ms	x

Results

Error	Segments	Branch
14.8b	3	`x`
26.9b	10	`y`
24.2b	12	`z`

Compiler

Compiled 65 to 46 computations (29.2% saved)

bsearch128.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
64.0ms	25738889834.392353	3.715512863153867e+24
63.0ms	-2.1080808480476917e-5	-5.772867198730268e-6

Compiler

Compiled 46 to 34 computations (26.1% saved)

regimes210.0ms (0.9%)

Accuracy

Total -48.1b remaining (-321.9%)

Threshold costs -48.1b (-321.9%)

Counts

7 → 3

Calls

Call 1

Inputs
(*.f64 z -1000000000/23533438303)
(*.f64 x 104109730557/25000000000)
(*.f64 z -1000000000/23533438303)
(.f64 x (.f64 -1000000000/23533438303 y))
(.f64 -1000000000/23533438303 (.f64 y x))
(-.f64 (*.f64 104109730557/25000000000 x) 13764240537310136880149/125000000000000000000)
(*.f64 (+.f64 x -2) 104109730557/25000000000)

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

Calls

3 calls:

117.0ms	z
75.0ms	y
14.0ms	x

Results

Error	Segments	Branch
14.9b	3	`x`
26.9b	10	`y`
24.2b	12	`z`

Compiler

Compiled 44 to 32 computations (27.3% saved)

bsearch83.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
41.0ms	0.0081722048621715	25738889834.392353
41.0ms	-2.1080808480476917e-5	-5.772867198730268e-6

Compiler

Compiled 46 to 34 computations (26.1% saved)

simplify163.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

274×	`distribute-rgt-neg-in_binary64`
184×	`distribute-lft-neg-out_binary64`
178×	`cancel-sign-sub-inv_binary64`
162×	`distribute-lft-neg-in_binary64`
155×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	151	867
1	230	867
2	259	867
3	276	867
4	295	867
5	321	867
6	355	867
7	406	867
8	456	867
9	549	867
10	710	867
11	911	867
12	1143	867
13	1337	867
14	1437	867
15	1542	867
16	1675	867
17	1826	867
18	1967	867
19	2062	867
20	2102	867
21	2119	867
22	2136	867
23	2149	867
24	2153	867

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.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)) 199999999999999987850710501107292437200805744402346499063815431426464091260264678056866185148810154968737122361123243451574343874852720610604715976817337655499746028833640220821354205063248818116874396050971031981532793651016436653190982245392158996106920698373251448128152087616919197241498086962762874880) (.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 (fma.f64 x 104109730557/25000000000 -13764240537310136880149/125000000000000000000) (-.f64 (/.f64 2970286349119912390428499159837293/625000000000000000000000000000 x) (/.f64 (-.f64 648599070133835873532829296990356435388407301/3125000000000000000000000000000000000000 y) (.f64 x x)))))
(if (<=.f64 (/.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)) 199999999999999987850710501107292437200805744402346499063815431426464091260264678056866185148810154968737122361123243451574343874852720610604715976817337655499746028833640220821354205063248818116874396050971031981532793651016436653190982245392158996106920698373251448128152087616919197241498086962762874880) (.f64 (+.f64 x -2) (+.f64 (/.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 z (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)))) (+.f64 (fma.f64 x 104109730557/25000000000 -13764240537310136880149/125000000000000000000) (-.f64 (/.f64 2970286349119912390428499159837293/625000000000000000000000000000 x) (/.f64 (-.f64 648599070133835873532829296990356435388407301/3125000000000000000000000000000000000000 y) (.f64 x x)))))
(if (<=.f64 x -214150999550427395309441545660625329253066851584694353395712) (.f64 x 104109730557/25000000000) (if (<=.f64 x 154995631965251521337418147954688) (.f64 (+.f64 x -2) (+.f64 (/.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 z (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)))) (*.f64 x 104109730557/25000000000)))
(if (<=.f64 x -711159916725195815963542941116544438455497530858799104) (.f64 x 104109730557/25000000000) (if (<=.f64 x 154995631965251521337418147954688) (/.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)))
(if (<=.f64 x -14956005700453874929692452024397605109760) (.f64 x 104109730557/25000000000) (if (<=.f64 x 154995631965251521337418147954688) (/.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 104109730557/25000000000)))
(if (<=.f64 x -839559866488328290304) (.f64 x 104109730557/25000000000) (if (<=.f64 x 2355477681412539/288230376151711744) (+.f64 (.f64 (-.f64 (.f64 500000000/23533438303 (+.f64 (.f64 -2 y) z)) (.f64 -156699607947000000000/553822718361107519809 z)) x) (+.f64 (.f64 -1000000000/23533438303 z) (.f64 (.f64 x x) (-.f64 -137519416416/23533438303 (.f64 z 23298017199368982832548000000000/13033352773350869092174451844127))))) (.f64 x 104109730557/25000000000)))
(if (<=.f64 x -14956005700453874929692452024397605109760) (.f64 x 104109730557/25000000000) (if (<=.f64 x 154995631965251521337418147954688) (+.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 -1000000000/23533438303 (.f64 y x))) (.f64 x 104109730557/25000000000)))
(if (<=.f64 x -711159916725195815963542941116544438455497530858799104) (.f64 x 104109730557/25000000000) (if (<=.f64 x -6518962838880057/1461501637330902918203684832716283019655932542976) (+.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 x 104109730557/25000000000)) (if (<=.f64 x 6747295536746949/262144) (+.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 -14956005700453874929692452024397605109760) (.f64 x 104109730557/25000000000) (if (<=.f64 x 6747295536746949/262144) (+.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 -14956005700453874929692452024397605109760) (.f64 x 104109730557/25000000000) (if (<=.f64 x 2355477681412539/288230376151711744) (+.f64 (.f64 y (.f64 x -1000000000/23533438303)) (.f64 -1000000000/23533438303 z)) (*.f64 x 104109730557/25000000000)))
(if (<=.f64 x -3110978231249949/147573952589676412928) (.f64 x 104109730557/25000000000) (if (<=.f64 x 6747295536746949/262144) (.f64 z (-.f64 (.f64 168466327098500000000/553822718361107519809 x) 1000000000/23533438303)) (.f64 x 104109730557/25000000000)))
(if (<=.f64 x -3110978231249949/147573952589676412928) (.f64 x 104109730557/25000000000) (if (<=.f64 x 2355477681412539/288230376151711744) (.f64 z -1000000000/23533438303) (*.f64 x 104109730557/25000000000)))
(*.f64 z -1000000000/23533438303)

Outputs
(if (<=.f64 (/.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)) 199999999999999987850710501107292437200805744402346499063815431426464091260264678056866185148810154968737122361123243451574343874852720610604715976817337655499746028833640220821354205063248818116874396050971031981532793651016436653190982245392158996106920698373251448128152087616919197241498086962762874880) (.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 (fma.f64 x 104109730557/25000000000 -13764240537310136880149/125000000000000000000) (-.f64 (/.f64 2970286349119912390428499159837293/625000000000000000000000000000 x) (/.f64 (-.f64 648599070133835873532829296990356435388407301/3125000000000000000000000000000000000000 y) (.f64 x x)))))
(if (<=.f64 (/.f64 (.f64 (+.f64 x -2) (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x 104109730557/25000000000) 393497462077/5000000000)) 4297481763/31250000)) y)) z)) (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 x 216700011257/5000000000)) 263505074721/1000000000)) 156699607947/500000000)) 23533438303/500000000)) 199999999999999987850710501107292437200805744402346499063815431426464091260264678056866185148810154968737122361123243451574343874852720610604715976817337655499746028833640220821354205063248818116874396050971031981532793651016436653190982245392158996106920698373251448128152087616919197241498086962762874880) (.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 (fma.f64 x 104109730557/25000000000 -13764240537310136880149/125000000000000000000) (-.f64 (/.f64 2970286349119912390428499159837293/625000000000000000000000000000 x) (/.f64 (-.f64 648599070133835873532829296990356435388407301/3125000000000000000000000000000000000000 y) (.f64 x x)))))
(if (<=.f64 (/.f64 (.f64 (+.f64 x -2) (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x 104109730557/25000000000) 393497462077/5000000000)) 4297481763/31250000)) y)) z)) (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 x 216700011257/5000000000)) 263505074721/1000000000)) 156699607947/500000000)) 23533438303/500000000)) 199999999999999987850710501107292437200805744402346499063815431426464091260264678056866185148810154968737122361123243451574343874852720610604715976817337655499746028833640220821354205063248818116874396050971031981532793651016436653190982245392158996106920698373251448128152087616919197241498086962762874880) (.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 (fma.f64 x 104109730557/25000000000 -13764240537310136880149/125000000000000000000) (+.f64 (/.f64 2970286349119912390428499159837293/625000000000000000000000000000 x) (/.f64 (+.f64 y -648599070133835873532829296990356435388407301/3125000000000000000000000000000000000000) (.f64 x x)))))
(if (<=.f64 (/.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)) 199999999999999987850710501107292437200805744402346499063815431426464091260264678056866185148810154968737122361123243451574343874852720610604715976817337655499746028833640220821354205063248818116874396050971031981532793651016436653190982245392158996106920698373251448128152087616919197241498086962762874880) (.f64 (+.f64 x -2) (+.f64 (/.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 z (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)))) (+.f64 (fma.f64 x 104109730557/25000000000 -13764240537310136880149/125000000000000000000) (-.f64 (/.f64 2970286349119912390428499159837293/625000000000000000000000000000 x) (/.f64 (-.f64 648599070133835873532829296990356435388407301/3125000000000000000000000000000000000000 y) (.f64 x x)))))
(if (<=.f64 (/.f64 (.f64 (+.f64 x -2) (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x 104109730557/25000000000) 393497462077/5000000000)) 4297481763/31250000)) y)) z)) (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 x 216700011257/5000000000)) 263505074721/1000000000)) 156699607947/500000000)) 23533438303/500000000)) 199999999999999987850710501107292437200805744402346499063815431426464091260264678056866185148810154968737122361123243451574343874852720610604715976817337655499746028833640220821354205063248818116874396050971031981532793651016436653190982245392158996106920698373251448128152087616919197241498086962762874880) (.f64 (+.f64 x -2) (+.f64 (/.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x 104109730557/25000000000) 393497462077/5000000000)) 4297481763/31250000)) y)) (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 x 216700011257/5000000000)) 263505074721/1000000000)) 156699607947/500000000)) 23533438303/500000000)) (/.f64 z (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 x 216700011257/5000000000)) 263505074721/1000000000)) 156699607947/500000000)) 23533438303/500000000)))) (+.f64 (fma.f64 x 104109730557/25000000000 -13764240537310136880149/125000000000000000000) (-.f64 (/.f64 2970286349119912390428499159837293/625000000000000000000000000000 x) (/.f64 (-.f64 648599070133835873532829296990356435388407301/3125000000000000000000000000000000000000 y) (.f64 x x)))))
(if (<=.f64 (/.f64 (.f64 (+.f64 x -2) (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x 104109730557/25000000000) 393497462077/5000000000)) 4297481763/31250000)) y)) z)) (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 x 216700011257/5000000000)) 263505074721/1000000000)) 156699607947/500000000)) 23533438303/500000000)) 199999999999999987850710501107292437200805744402346499063815431426464091260264678056866185148810154968737122361123243451574343874852720610604715976817337655499746028833640220821354205063248818116874396050971031981532793651016436653190982245392158996106920698373251448128152087616919197241498086962762874880) (.f64 (+.f64 x -2) (+.f64 (/.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x 104109730557/25000000000) 393497462077/5000000000)) 4297481763/31250000)) y)) (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 x 216700011257/5000000000)) 263505074721/1000000000)) 156699607947/500000000)) 23533438303/500000000)) (/.f64 z (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 x 216700011257/5000000000)) 263505074721/1000000000)) 156699607947/500000000)) 23533438303/500000000)))) (+.f64 (fma.f64 x 104109730557/25000000000 -13764240537310136880149/125000000000000000000) (+.f64 (/.f64 2970286349119912390428499159837293/625000000000000000000000000000 x) (/.f64 (+.f64 y -648599070133835873532829296990356435388407301/3125000000000000000000000000000000000000) (.f64 x x)))))
(if (<=.f64 x -214150999550427395309441545660625329253066851584694353395712) (.f64 x 104109730557/25000000000) (if (<=.f64 x 154995631965251521337418147954688) (.f64 (+.f64 x -2) (+.f64 (/.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 z (+.f64 (.f64 (+.f64 156699607947/500000000 (.f64 (+.f64 263505074721/1000000000 (.f64 x (+.f64 216700011257/5000000000 x))) x)) x) 23533438303/500000000)))) (*.f64 x 104109730557/25000000000)))
(if (<=.f64 x -214150999550427395309441545660625329253066851584694353395712) (.f64 x 104109730557/25000000000) (if (<=.f64 x 154995631965251521337418147954688) (.f64 (+.f64 x -2) (+.f64 (/.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x 104109730557/25000000000) 393497462077/5000000000)) 4297481763/31250000)) y)) (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 x 216700011257/5000000000)) 263505074721/1000000000)) 156699607947/500000000)) 23533438303/500000000)) (/.f64 z (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 x 216700011257/5000000000)) 263505074721/1000000000)) 156699607947/500000000)) 23533438303/500000000)))) (*.f64 x 104109730557/25000000000)))
(if (<=.f64 x -711159916725195815963542941116544438455497530858799104) (.f64 x 104109730557/25000000000) (if (<=.f64 x 154995631965251521337418147954688) (/.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)))
(if (<=.f64 x -711159916725195815963542941116544438455497530858799104) (.f64 x 104109730557/25000000000) (if (<=.f64 x 154995631965251521337418147954688) (/.f64 (.f64 (+.f64 x -2) (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x 104109730557/25000000000) 393497462077/5000000000)) 4297481763/31250000)) y)) z)) (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 x 216700011257/5000000000)) 263505074721/1000000000)) 156699607947/500000000)) 23533438303/500000000)) (.f64 x 104109730557/25000000000)))
(if (<=.f64 x -14956005700453874929692452024397605109760) (.f64 x 104109730557/25000000000) (if (<=.f64 x 154995631965251521337418147954688) (/.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 104109730557/25000000000)))
(if (<=.f64 x -14956005700453874929692452024397605109760) (.f64 x 104109730557/25000000000) (if (<=.f64 x 154995631965251521337418147954688) (/.f64 (.f64 (+.f64 x -2) (+.f64 z (.f64 x (+.f64 y (.f64 x 4297481763/31250000))))) (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 x 216700011257/5000000000)) 263505074721/1000000000)) 156699607947/500000000)) 23533438303/500000000)) (.f64 x 104109730557/25000000000)))
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(if (<=.f64 x -14956005700453874929692452024397605109760) (.f64 x 104109730557/25000000000) (if (<=.f64 x 154995631965251521337418147954688) (+.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 -1000000000/23533438303 (.f64 y x))) (.f64 x 104109730557/25000000000)))
(if (<=.f64 x -14956005700453874929692452024397605109760) (.f64 x 104109730557/25000000000) (if (<=.f64 x 154995631965251521337418147954688) (+.f64 (/.f64 (.f64 (+.f64 x -2) z) (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 x 216700011257/5000000000)) 263505074721/1000000000)) 156699607947/500000000)) 23533438303/500000000)) (.f64 -1000000000/23533438303 (.f64 x y))) (.f64 x 104109730557/25000000000)))
(if (<=.f64 x -711159916725195815963542941116544438455497530858799104) (.f64 x 104109730557/25000000000) (if (<=.f64 x -6518962838880057/1461501637330902918203684832716283019655932542976) (+.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 x 104109730557/25000000000)) (if (<=.f64 x 6747295536746949/262144) (+.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 -711159916725195815963542941116544438455497530858799104) (.f64 x 104109730557/25000000000) (if (<=.f64 x -6518962838880057/1461501637330902918203684832716283019655932542976) (+.f64 (.f64 x 104109730557/25000000000) (/.f64 (.f64 (+.f64 x -2) z) (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 x 216700011257/5000000000)) 263505074721/1000000000)) 156699607947/500000000)) 23533438303/500000000))) (if (<=.f64 x 6747295536746949/262144) (+.f64 (.f64 x (+.f64 (.f64 500000000/23533438303 (+.f64 z (.f64 y -2))) (.f64 156699607947000000000/553822718361107519809 z))) (.f64 z -1000000000/23533438303)) (.f64 x 104109730557/25000000000))))
(if (<=.f64 x -711159916725195815963542941116544438455497530858799104) (.f64 x 104109730557/25000000000) (if (<=.f64 x -6518962838880057/1461501637330902918203684832716283019655932542976) (+.f64 (.f64 x 104109730557/25000000000) (/.f64 (.f64 (+.f64 x -2) z) (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 x 216700011257/5000000000)) 263505074721/1000000000)) 156699607947/500000000)) 23533438303/500000000))) (if (<=.f64 x 6747295536746949/262144) (+.f64 (.f64 x (+.f64 (.f64 500000000/23533438303 (+.f64 z (.f64 y -2))) (.f64 z 156699607947000000000/553822718361107519809))) (.f64 z -1000000000/23533438303)) (.f64 x 104109730557/25000000000))))
(if (<=.f64 x -711159916725195815963542941116544438455497530858799104) (.f64 x 104109730557/25000000000) (if (<=.f64 x -6518962838880057/1461501637330902918203684832716283019655932542976) (+.f64 (.f64 x 104109730557/25000000000) (/.f64 (.f64 (+.f64 x -2) z) (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 x 216700011257/5000000000)) 263505074721/1000000000)) 156699607947/500000000)) 23533438303/500000000))) (if (<=.f64 x 6747295536746949/262144) (-.f64 (.f64 z -1000000000/23533438303) (.f64 x (+.f64 (.f64 z -156699607947000000000/553822718361107519809) (.f64 (+.f64 z (.f64 y -2)) -500000000/23533438303)))) (.f64 x 104109730557/25000000000))))
(if (<=.f64 x -711159916725195815963542941116544438455497530858799104) (.f64 x 104109730557/25000000000) (if (<=.f64 x -6518962838880057/1461501637330902918203684832716283019655932542976) (+.f64 (.f64 x 104109730557/25000000000) (/.f64 (.f64 (+.f64 x -2) z) (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 x 216700011257/5000000000)) 263505074721/1000000000)) 156699607947/500000000)) 23533438303/500000000))) (if (<=.f64 x 6747295536746949/262144) (-.f64 (.f64 z -1000000000/23533438303) (.f64 x (+.f64 (.f64 z -156699607947000000000/553822718361107519809) (.f64 500000000/23533438303 (-.f64 (.f64 2 y) z))))) (.f64 x 104109730557/25000000000))))
(if (<=.f64 x -14956005700453874929692452024397605109760) (.f64 x 104109730557/25000000000) (if (<=.f64 x 6747295536746949/262144) (+.f64 (.f64 (-.f64 (.f64 500000000/23533438303 (+.f64 (.f64 -2 y) z)) (.f64 -156699607947000000000/553822718361107519809 z)) x) (.f64 -1000000000/23533438303 z)) (*.f64 x 104109730557/25000000000)))
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(if (<=.f64 x -14956005700453874929692452024397605109760) (.f64 x 104109730557/25000000000) (if (<=.f64 x 2355477681412539/288230376151711744) (+.f64 (.f64 y (.f64 x -1000000000/23533438303)) (.f64 -1000000000/23533438303 z)) (*.f64 x 104109730557/25000000000)))
(if (<=.f64 x -14956005700453874929692452024397605109760) (.f64 x 104109730557/25000000000) (if (<=.f64 x 2355477681412539/288230376151711744) (+.f64 (.f64 z -1000000000/23533438303) (.f64 y (.f64 x -1000000000/23533438303))) (*.f64 x 104109730557/25000000000)))
(if (<=.f64 x -3110978231249949/147573952589676412928) (.f64 x 104109730557/25000000000) (if (<=.f64 x 6747295536746949/262144) (.f64 z (-.f64 (.f64 168466327098500000000/553822718361107519809 x) 1000000000/23533438303)) (.f64 x 104109730557/25000000000)))
(if (<=.f64 x -3110978231249949/147573952589676412928) (.f64 x 104109730557/25000000000) (if (<=.f64 x 6747295536746949/262144) (.f64 z (+.f64 (.f64 x 168466327098500000000/553822718361107519809) -1000000000/23533438303)) (.f64 x 104109730557/25000000000)))
(if (<=.f64 x -3110978231249949/147573952589676412928) (.f64 x 104109730557/25000000000) (if (<=.f64 x 6747295536746949/262144) (.f64 z (+.f64 -1000000000/23533438303 (.f64 x 168466327098500000000/553822718361107519809))) (.f64 x 104109730557/25000000000)))
(if (<=.f64 x -3110978231249949/147573952589676412928) (.f64 x 104109730557/25000000000) (if (<=.f64 x 2355477681412539/288230376151711744) (.f64 z -1000000000/23533438303) (*.f64 x 104109730557/25000000000)))
(*.f64 z -1000000000/23533438303)

Compiler

Compiled 632 to 458 computations (27.5% saved)

soundness173.0ms (0.7%)

Algorithm

2×	egg-herbie

Rules

838×	`distribute-rgt-in_binary64`
816×	`distribute-lft-in_binary64`
744×	`associate-+l+_binary64`
706×	`distribute-rgt-in_binary64`
700×	`distribute-lft-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	108	2136
1	283	1929
2	794	1826
3	3167	1577

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 1060 to 792 computations (25.3% saved)

end261.0ms (1.1%)

Compiler: Compiled 596 to 420 computations (29.5% saved)