Details

analyze714.0ms (4.2%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
0%	0%	99.9%	0.1%	0%	0%	0%	6
6.3%	6.2%	93.6%	0.1%	0%	0%	0%	7
9.4%	9.4%	90.5%	0.1%	0%	0%	0%	8
14.1%	14%	85.8%	0.1%	0%	0%	0%	9
25.8%	25.7%	74.1%	0.1%	0%	0%	0%	10
30.1%	30%	69.8%	0.1%	0%	0%	0%	11
34.2%	34.1%	65.7%	0.1%	0%	0%	0%	12

Compiler

Compiled 25 to 19 computations (24% saved)

sample1.7s (10.2%)

Results

1.7s

8256×

body

256

valid

Bogosity

preprocess99.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

2164×	`fma-def_binary64`
374×	`distribute-rgt-out_binary64`
341×	`associate-/l*_binary64`
273×	`associate-l_binary64`
218×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	100
1	109	100
2	233	92
3	609	92
4	1275	92
5	2293	92
6	2673	92
7	3080	92
8	3592	92
9	4303	92
10	4326	92
11	5764	92
12	5764	92
0	3	3

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

Inputs
(+.f64 x (/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+.f64 y (/.f64 (.f64 x (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+.f64 z (/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 x 692910599291889/10000000000000000) 307332350656623/625000000000000) x) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 x 6012459259764103/1000000000000000) x) 104698244219447/31250000000000)))
(+.f64 x (/.f64 (.f64 z (+.f64 (.f64 (+.f64 (.f64 y 692910599291889/10000000000000000) 307332350656623/625000000000000) y) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 y 6012459259764103/1000000000000000) y) 104698244219447/31250000000000)))

Outputs
(+.f64 x (/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+.f64 x (/.f64 y (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000))))
(+.f64 x (*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(fma.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) x)
(fma.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)
(fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)
(+.f64 y (/.f64 (.f64 x (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+.f64 y (/.f64 (*.f64 x (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)) (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000)))
(+.f64 y (*.f64 (/.f64 x (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(fma.f64 (/.f64 x (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) y)
(fma.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 x (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y)
(fma.f64 x (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y)
(+.f64 z (/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 x 692910599291889/10000000000000000) 307332350656623/625000000000000) x) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 x 6012459259764103/1000000000000000) x) 104698244219447/31250000000000)))
(+.f64 z (/.f64 y (/.f64 (fma.f64 (+.f64 x 6012459259764103/1000000000000000) x 104698244219447/31250000000000) (fma.f64 (fma.f64 x 692910599291889/10000000000000000 307332350656623/625000000000000) x 11167812716741/40000000000000))))
(+.f64 z (*.f64 (/.f64 y (fma.f64 x (+.f64 x 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 x (fma.f64 x 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(fma.f64 (/.f64 y (fma.f64 x (+.f64 x 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 x (fma.f64 x 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) z)
(fma.f64 (fma.f64 x (fma.f64 x 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 x (+.f64 x 6012459259764103/1000000000000000) 104698244219447/31250000000000)) z)
(fma.f64 y (/.f64 (fma.f64 x (fma.f64 x 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 x (+.f64 x 6012459259764103/1000000000000000) 104698244219447/31250000000000)) z)
(+.f64 x (/.f64 (.f64 z (+.f64 (.f64 (+.f64 (.f64 y 692910599291889/10000000000000000) 307332350656623/625000000000000) y) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 y 6012459259764103/1000000000000000) y) 104698244219447/31250000000000)))
(+.f64 x (/.f64 z (/.f64 (fma.f64 (+.f64 y 6012459259764103/1000000000000000) y 104698244219447/31250000000000) (fma.f64 (fma.f64 y 692910599291889/10000000000000000 307332350656623/625000000000000) y 11167812716741/40000000000000))))
(+.f64 x (*.f64 (/.f64 z (fma.f64 y (+.f64 y 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 y (fma.f64 y 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(fma.f64 (/.f64 z (fma.f64 y (+.f64 y 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 y (fma.f64 y 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) x)
(fma.f64 (fma.f64 y (fma.f64 y 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 z (fma.f64 y (+.f64 y 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)
(fma.f64 z (/.f64 (fma.f64 y (fma.f64 y 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 y (+.f64 y 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)

Compiler

Compiled 27 to 21 computations (22.2% saved)

simplify55.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

722×	`fma-def_binary64`
94×	`distribute-rgt-out_binary64`
88×	`associate-/l*_binary64`
72×	`associate-l_binary64`
63×	`*-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	25
1	39	25
2	74	23
3	179	23
4	358	23
5	619	23
6	883	23
7	1015	23
8	1261	23
9	1679	23
10	1743	23
11	1744	23

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

Inputs

(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))

Outputs
(+.f64 x (/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+.f64 x (/.f64 y (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000))))
(+.f64 x (*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(fma.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) x)
(fma.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y x)
(fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)

eval1.0ms (0%)

Compiler: Compiled 41 to 29 computations (29.3% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

18.3b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	21.9b	(+.f64 x (/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
▶	18.4b	(fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)

Status

Error

Program

▶

21.9b

(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))

▶

18.4b

(fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)

Compiler

Compiled 44 to 32 computations (27.3% saved)

localize38.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (+.f64 z 6012459259764103/1000000000000000) z)
✓	0.5b	(*.f64 z 692910599291889/10000000000000000)
✓	3.1b	(.f64 y (+.f64 (.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000))
✓	21.1b	(/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))

Compiler

Compiled 101 to 73 computations (27.7% saved)

series67.0ms (0.4%)

Counts

4 → 72

Calls

18 calls:

Time	Variable		Point	Expression
53.0ms	z	@	-inf	(/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
2.0ms	y	@	0	(/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
1.0ms	z	@	inf	(/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
1.0ms	z	@	0	(/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
1.0ms	y	@	-inf	(/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))

rewrite229.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

746×	`prod-diff_binary64`
355×	`expm1-udef_binary64`
355×	`log1p-udef_binary64`
203×	`add-sqr-sqrt_binary64`
192×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	45
1	401	45
2	5487	45

Stop Event

1×	node limit

Counts

4 → 103

Calls

Call 1

Inputs
(/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
(.f64 y (+.f64 (.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000))
(*.f64 z 692910599291889/10000000000000000)
(*.f64 (+.f64 z 6012459259764103/1000000000000000) z)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 y (/.f64 1 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 y (.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (.f64 y (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))))) (#(struct:change #<rule egg-rr> 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simplify238.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

769×	`fma-neg_binary64`
532×	`fma-def_binary64`
447×	`sub-neg_binary64`
268×	`associate-+l+_binary64`
263×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	119	1292
1	363	1062
2	1327	980
3	5742	899

Stop Event

1×	node limit

Counts

175 → 143

Calls

Call 1

Inputs
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Outputs
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(*.f64 y (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000))
(.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z)))
(.f64 y (+.f64 11167812716741/40000000000000 (.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)))))
(*.f64 y (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000))
(.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z)))
(.f64 y (+.f64 11167812716741/40000000000000 (.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)))))
(*.f64 y (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000))
(.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z)))
(.f64 y (+.f64 11167812716741/40000000000000 (.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)))))
(*.f64 y (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000))
(.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z)))
(.f64 y (+.f64 11167812716741/40000000000000 (.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)))))
(*.f64 y (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000))
(.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z)))
(.f64 y (+.f64 11167812716741/40000000000000 (.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)))))
(*.f64 y (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000))
(*.f64 11167812716741/40000000000000 y)
(*.f64 y 11167812716741/40000000000000)
(+.f64 (.f64 307332350656623/625000000000000 (.f64 y z)) (*.f64 11167812716741/40000000000000 y))
(fma.f64 307332350656623/625000000000000 (.f64 y z) (.f64 y 11167812716741/40000000000000))
(.f64 y (+.f64 11167812716741/40000000000000 (.f64 307332350656623/625000000000000 z)))
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(.f64 y (+.f64 11167812716741/40000000000000 (.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)))))
(*.f64 y (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000))
(+.f64 (.f64 307332350656623/625000000000000 (.f64 y z)) (+.f64 (.f64 11167812716741/40000000000000 y) (.f64 692910599291889/10000000000000000 (*.f64 y (pow.f64 z 2)))))
(.f64 y (+.f64 11167812716741/40000000000000 (.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)))))
(*.f64 y (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000))
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(fma.f64 307332350656623/625000000000000 (.f64 y z) (.f64 y (.f64 692910599291889/10000000000000000 (.f64 z z))))
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(*.f64 y (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000))
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(.f64 y (+.f64 11167812716741/40000000000000 (.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)))))
(*.f64 y (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000))
(.f64 692910599291889/10000000000000000 (.f64 y (pow.f64 z 2)))
(.f64 (.f64 y 692910599291889/10000000000000000) (*.f64 z z))
(.f64 y (.f64 692910599291889/10000000000000000 (*.f64 z z)))
(.f64 y (.f64 z (*.f64 692910599291889/10000000000000000 z)))
(+.f64 (.f64 307332350656623/625000000000000 (.f64 y z)) (.f64 692910599291889/10000000000000000 (.f64 y (pow.f64 z 2))))
(fma.f64 307332350656623/625000000000000 (.f64 y z) (.f64 (.f64 y 692910599291889/10000000000000000) (.f64 z z)))
(fma.f64 307332350656623/625000000000000 (.f64 y z) (.f64 y (.f64 692910599291889/10000000000000000 (.f64 z z))))
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(.f64 y (+.f64 11167812716741/40000000000000 (.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)))))
(*.f64 y (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000))
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(.f64 y (+.f64 11167812716741/40000000000000 (.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)))))
(*.f64 y (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000))
(*.f64 692910599291889/10000000000000000 z)
(*.f64 692910599291889/10000000000000000 z)
(*.f64 692910599291889/10000000000000000 z)
(*.f64 692910599291889/10000000000000000 z)
(*.f64 692910599291889/10000000000000000 z)
(*.f64 692910599291889/10000000000000000 z)
(*.f64 692910599291889/10000000000000000 z)
(*.f64 692910599291889/10000000000000000 z)
(*.f64 692910599291889/10000000000000000 z)
(*.f64 692910599291889/10000000000000000 z)
(*.f64 692910599291889/10000000000000000 z)
(*.f64 692910599291889/10000000000000000 z)
(*.f64 6012459259764103/1000000000000000 z)
(*.f64 z 6012459259764103/1000000000000000)
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(*.f64 z (+.f64 z 6012459259764103/1000000000000000))
(+.f64 (pow.f64 z 2) (*.f64 6012459259764103/1000000000000000 z))
(+.f64 (.f64 z z) (.f64 z 6012459259764103/1000000000000000))
(*.f64 z (+.f64 z 6012459259764103/1000000000000000))
(+.f64 (pow.f64 z 2) (*.f64 6012459259764103/1000000000000000 z))
(+.f64 (.f64 z z) (.f64 z 6012459259764103/1000000000000000))
(*.f64 z (+.f64 z 6012459259764103/1000000000000000))
(pow.f64 z 2)
(*.f64 z z)
(+.f64 (pow.f64 z 2) (*.f64 6012459259764103/1000000000000000 z))
(+.f64 (.f64 z z) (.f64 z 6012459259764103/1000000000000000))
(*.f64 z (+.f64 z 6012459259764103/1000000000000000))
(+.f64 (pow.f64 z 2) (*.f64 6012459259764103/1000000000000000 z))
(+.f64 (.f64 z z) (.f64 z 6012459259764103/1000000000000000))
(*.f64 z (+.f64 z 6012459259764103/1000000000000000))
(+.f64 (pow.f64 z 2) (*.f64 6012459259764103/1000000000000000 z))
(+.f64 (.f64 z z) (.f64 z 6012459259764103/1000000000000000))
(*.f64 z (+.f64 z 6012459259764103/1000000000000000))
(pow.f64 z 2)
(*.f64 z z)
(+.f64 (pow.f64 z 2) (*.f64 6012459259764103/1000000000000000 z))
(+.f64 (.f64 z z) (.f64 z 6012459259764103/1000000000000000))
(*.f64 z (+.f64 z 6012459259764103/1000000000000000))
(+.f64 (pow.f64 z 2) (*.f64 6012459259764103/1000000000000000 z))
(+.f64 (.f64 z z) (.f64 z 6012459259764103/1000000000000000))
(*.f64 z (+.f64 z 6012459259764103/1000000000000000))
(+.f64 (pow.f64 z 2) (*.f64 6012459259764103/1000000000000000 z))
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(*.f64 z (+.f64 z 6012459259764103/1000000000000000))

localize53.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)
✓	0.2b	(fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)
✓	0.3b	(fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)
✓	17.8b	(/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))

Compiler

Compiled 62 to 43 computations (30.6% saved)

series65.0ms (0.4%)

Counts

4 → 72

Calls

18 calls:

Time	Variable		Point	Expression
49.0ms	y	@	0	(fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)
3.0ms	z	@	inf	(/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))
1.0ms	x	@	0	(fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)
1.0ms	z	@	0	(/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))
1.0ms	y	@	inf	(fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)

rewrite189.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

646×	`log-prod_binary64`
408×	`pow2_binary64`
285×	`expm1-udef_binary64`
285×	`log1p-udef_binary64`
284×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	56
1	323	56
2	3882	56

Stop Event

1×	node limit

Counts

4 → 123

Calls

Call 1

Inputs
(/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))
(fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)
(fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)
(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) 2) (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) 2) (.f64 (cbrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (fma.f64 z (fma.f64 z 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simplify194.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

722×	`times-frac_binary64`
666×	`associate-/r*_binary64`
554×	`associate-/l/_binary64`
543×	`associate-/l*_binary64`
372×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	90	1415
1	241	1231
2	604	1178
3	1665	953
4	3949	953

Stop Event

1×	node limit

Counts

195 → 174

Calls

Call 1

Inputs
279195317918525/3350343815022304
(+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z))
(+.f64 279195317918525/3350343815022304 (+.f64 (.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) (.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (pow.f64 z 2))))
(+.f64 279195317918525/3350343815022304 (+.f64 (.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) (+.f64 (.f64 -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 (pow.f64 z 3)) (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (pow.f64 z 2)))))
692910599291889/10000000000000000
(+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))
(-.f64 (+.f64 692910599291889/10000000000000000 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z))) (.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 2))))
(-.f64 (+.f64 692910599291889/10000000000000000 (+.f64 (.f64 21810887065466482153109263568915904549915271947668467379916697/10000000000000000000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 3))) (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))) (*.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 2))))
692910599291889/10000000000000000
(+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))
(-.f64 (+.f64 692910599291889/10000000000000000 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z))) (.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 2))))
(-.f64 (+.f64 692910599291889/10000000000000000 (+.f64 (.f64 21810887065466482153109263568915904549915271947668467379916697/10000000000000000000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 3))) (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))) (*.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 2))))
307332350656623/625000000000000
(+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))
(+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))
(+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))
(*.f64 692910599291889/10000000000000000 z)
(+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))
(+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))
(+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))
(*.f64 692910599291889/10000000000000000 z)
(+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))
(+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))
(+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))
x
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(+.f64 (.f64 (+.f64 (/.f64 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))) (.f64 11167812716741/40000000000000 (/.f64 1 (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))))) y) x)
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(.f64 (+.f64 (/.f64 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))) (.f64 11167812716741/40000000000000 (/.f64 1 (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))))) y)
(+.f64 (.f64 (+.f64 (/.f64 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))) (.f64 11167812716741/40000000000000 (/.f64 1 (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))))) y) x)
(+.f64 (.f64 (+.f64 (/.f64 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))) (.f64 11167812716741/40000000000000 (/.f64 1 (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))))) y) x)
(+.f64 (.f64 (+.f64 (/.f64 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))) (.f64 11167812716741/40000000000000 (/.f64 1 (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))))) y) x)
(/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
(+.f64 (/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))) x)
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x
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x
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11167812716741/40000000000000
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(+.f64 11167812716741/40000000000000 (+.f64 (.f64 307332350656623/625000000000000 z) (.f64 692910599291889/10000000000000000 (pow.f64 z 2))))

Outputs
279195317918525/3350343815022304
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692910599291889/10000000000000000
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692910599291889/10000000000000000
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307332350656623/625000000000000
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(fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)
x
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(fma.f64 (+.f64 (*.f64 (/.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) z) (/.f64 11167812716741/40000000000000 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) y x)
(fma.f64 (fma.f64 (/.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) z (/.f64 11167812716741/40000000000000 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) y x)
(fma.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) x)
(+.f64 (/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))) x)
(fma.f64 (+.f64 (/.f64 (+.f64 307332350656623/625000000000000 (.f64 z 692910599291889/10000000000000000)) (/.f64 (+.f64 104698244219447/31250000000000 (.f64 z (+.f64 z 6012459259764103/1000000000000000))) z)) (/.f64 11167812716741/40000000000000 (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))) y x)
(fma.f64 (+.f64 (*.f64 (/.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) z) (/.f64 11167812716741/40000000000000 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) y x)
(fma.f64 (fma.f64 (/.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) z (/.f64 11167812716741/40000000000000 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) y x)
(fma.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) x)
(+.f64 (/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))) x)
(fma.f64 (+.f64 (/.f64 (+.f64 307332350656623/625000000000000 (.f64 z 692910599291889/10000000000000000)) (/.f64 (+.f64 104698244219447/31250000000000 (.f64 z (+.f64 z 6012459259764103/1000000000000000))) z)) (/.f64 11167812716741/40000000000000 (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))) y x)
(fma.f64 (+.f64 (*.f64 (/.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) z) (/.f64 11167812716741/40000000000000 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) y x)
(fma.f64 (fma.f64 (/.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) z (/.f64 11167812716741/40000000000000 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) y x)
(fma.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) x)
11167812716741/40000000000000
(+.f64 11167812716741/40000000000000 (*.f64 307332350656623/625000000000000 z))
(+.f64 11167812716741/40000000000000 (*.f64 z 307332350656623/625000000000000))
(fma.f64 z 307332350656623/625000000000000 11167812716741/40000000000000)
(+.f64 11167812716741/40000000000000 (+.f64 (.f64 307332350656623/625000000000000 z) (.f64 692910599291889/10000000000000000 (pow.f64 z 2))))
(+.f64 11167812716741/40000000000000 (fma.f64 307332350656623/625000000000000 z (.f64 (.f64 z z) 692910599291889/10000000000000000)))
(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)
(+.f64 11167812716741/40000000000000 (+.f64 (.f64 307332350656623/625000000000000 z) (.f64 692910599291889/10000000000000000 (pow.f64 z 2))))
(+.f64 11167812716741/40000000000000 (fma.f64 307332350656623/625000000000000 z (.f64 (.f64 z z) 692910599291889/10000000000000000)))
(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)
(*.f64 692910599291889/10000000000000000 (pow.f64 z 2))
(.f64 (.f64 z z) 692910599291889/10000000000000000)
(.f64 z (.f64 z 692910599291889/10000000000000000))
(+.f64 (.f64 307332350656623/625000000000000 z) (.f64 692910599291889/10000000000000000 (pow.f64 z 2)))
(fma.f64 307332350656623/625000000000000 z (.f64 (.f64 z z) 692910599291889/10000000000000000))
(*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))
(+.f64 11167812716741/40000000000000 (+.f64 (.f64 307332350656623/625000000000000 z) (.f64 692910599291889/10000000000000000 (pow.f64 z 2))))
(+.f64 11167812716741/40000000000000 (fma.f64 307332350656623/625000000000000 z (.f64 (.f64 z z) 692910599291889/10000000000000000)))
(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)
(+.f64 11167812716741/40000000000000 (+.f64 (.f64 307332350656623/625000000000000 z) (.f64 692910599291889/10000000000000000 (pow.f64 z 2))))
(+.f64 11167812716741/40000000000000 (fma.f64 307332350656623/625000000000000 z (.f64 (.f64 z z) 692910599291889/10000000000000000)))
(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)
(*.f64 692910599291889/10000000000000000 (pow.f64 z 2))
(.f64 (.f64 z z) 692910599291889/10000000000000000)
(.f64 z (.f64 z 692910599291889/10000000000000000))
(+.f64 (.f64 307332350656623/625000000000000 z) (.f64 692910599291889/10000000000000000 (pow.f64 z 2)))
(fma.f64 307332350656623/625000000000000 z (.f64 (.f64 z z) 692910599291889/10000000000000000))
(*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))
(+.f64 11167812716741/40000000000000 (+.f64 (.f64 307332350656623/625000000000000 z) (.f64 692910599291889/10000000000000000 (pow.f64 z 2))))
(+.f64 11167812716741/40000000000000 (fma.f64 307332350656623/625000000000000 z (.f64 (.f64 z z) 692910599291889/10000000000000000)))
(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)
(+.f64 11167812716741/40000000000000 (+.f64 (.f64 307332350656623/625000000000000 z) (.f64 692910599291889/10000000000000000 (pow.f64 z 2))))
(+.f64 11167812716741/40000000000000 (fma.f64 307332350656623/625000000000000 z (.f64 (.f64 z z) 692910599291889/10000000000000000)))
(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)

eval340.0ms (2%)

Compiler: Compiled 7316 to 5175 computations (29.3% saved)

prune168.0ms (1%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	298	19	317
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	300	19	319

Error

0.1b

Counts

319 → 19

Alt Table

Click to see full alt table

Status	Error	Program
▶	18.9b	(fma.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) x)
	24.4b	(+.f64 x (/.f64 (.f64 y (+.f64 (.f64 (+.f64 (cbrt.f64 (.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 z 3))) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
	19.0b	(+.f64 x (.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (.f64 y (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))))
	27.1b	(+.f64 x (/.f64 (/.f64 (.f64 (+.f64 (pow.f64 (.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) -124720040876201995101661081/1600000000000000000000000000) y) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) -11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
	39.8b	(+.f64 x (pow.f64 (sqrt.f64 (*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) 2))
	21.2b	(+.f64 (.f64 692910599291889/10000000000000000 y) (+.f64 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x))
▶	14.4b	(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
▶	12.8b	(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
	44.1b	(/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
▶	41.0b	(.f64 (+.f64 (/.f64 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))) (.f64 11167812716741/40000000000000 (/.f64 1 (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))))) y)
▶	17.6b	(+.f64 x (/.f64 (.f64 y 11167812716741/40000000000000) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
	24.0b	(+.f64 x (.f64 y (+.f64 279195317918525/3350343815022304 (.f64 z -155900051080628738716045985239/56124018394291031809500087342080))))
	18.4b	(fma.f64 y (expm1.f64 (log1p.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))) x)
	32.6b	x
	18.9b	(+.f64 x (*.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
	24.0b	(+.f64 (.f64 279195317918525/3350343815022304 y) (+.f64 (.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) x))
	37.2b	(+.f64 x (/.f64 (.f64 y (.f64 z (.f64 692910599291889/10000000000000000 z))) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
	29.1b	(+.f64 x (.f64 y (+.f64 279195317918525/3350343815022304 (.f64 z (+.f64 -155900051080628738716045985239/56124018394291031809500087342080 (.f64 z (+.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (.f64 z -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280))))))))
	21.9b	(+.f64 x (pow.f64 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) -1))

Compiler

Compiled 722 to 537 computations (25.6% saved)

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
✓	0.6b	(*.f64 692910599291889/10000000000000000 y)

Compiler

Compiled 14 to 9 computations (35.7% saved)

series5.0ms (0%)

Counts

2 → 6

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	(*.f64 692910599291889/10000000000000000 y)
1.0ms	y	@	-inf	(*.f64 692910599291889/10000000000000000 y)
1.0ms	y	@	inf	(*.f64 692910599291889/10000000000000000 y)
1.0ms	y	@	inf	(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
1.0ms	x	@	0	(+.f64 (*.f64 692910599291889/10000000000000000 y) x)

rewrite127.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

687×	`pow1_binary64`
642×	`add-log-exp_binary64`
642×	`log1p-expm1-u_binary64`
642×	`expm1-log1p-u_binary64`
629×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	131	9
2	1732	9

Stop Event

1×	node limit

Counts

2 → 46

Calls

Call 1

Inputs
(*.f64 692910599291889/10000000000000000 y)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 692910599291889/10000000000000000 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 692910599291889/10000000000000000 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 692910599291889/10000000000000000 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 692910599291889/10000000000000000) y))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 692910599291889/10000000000000000 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 692910599291889/10000000000000000 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 692910599291889/10000000000000000 y)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 692910599291889/10000000000000000 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 2) (-.f64 (*.f64 692910599291889/10000000000000000 y) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 692910599291889/10000000000000000 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 692910599291889/10000000000000000 y x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 692910599291889/10000000000000000 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 692910599291889/10000000000000000 y x)) (pow.f64 (cbrt.f64 (fma.f64 692910599291889/10000000000000000 y x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 692910599291889/10000000000000000 y x)) 2) (cbrt.f64 (fma.f64 692910599291889/10000000000000000 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 692910599291889/10000000000000000 y x)) (sqrt.f64 (fma.f64 692910599291889/10000000000000000 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 2) (*.f64 x (-.f64 x (*.f64 692910599291889/10000000000000000 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 2) (*.f64 x x)) (/.f64 1 (-.f64 (*.f64 692910599291889/10000000000000000 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 2) (*.f64 x (-.f64 x (*.f64 692910599291889/10000000000000000 y)))) (+.f64 (*.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 692910599291889/10000000000000000 y) x) (-.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 2) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 2) (*.f64 x (-.f64 x (*.f64 692910599291889/10000000000000000 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) (pow.f64 x 3)) (+.f64 (*.f64 x x) (-.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 2) (*.f64 692910599291889/10000000000000000 (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 2) (*.f64 x x)) (-.f64 (*.f64 692910599291889/10000000000000000 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 2) (*.f64 x (-.f64 x (*.f64 692910599291889/10000000000000000 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 2) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 692910599291889/10000000000000000 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 692910599291889/10000000000000000 y) 2)) (-.f64 x (*.f64 692910599291889/10000000000000000 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 692910599291889/10000000000000000 y x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 692910599291889/10000000000000000 y x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 692910599291889/10000000000000000 y x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 692910599291889/10000000000000000 y x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 692910599291889/10000000000000000 y x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 692910599291889/10000000000000000 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 692910599291889/10000000000000000 y x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 692910599291889/10000000000000000 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 692910599291889/10000000000000000 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 692910599291889/10000000000000000 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 692910599291889/10000000000000000 y x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y 692910599291889/10000000000000000 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 692910599291889/10000000000000000 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 692910599291889/10000000000000000 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 692910599291889/10000000000000000 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) 2) (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 692910599291889/10000000000000000 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 692910599291889/10000000000000000 y)) (sqrt.f64 (*.f64 692910599291889/10000000000000000 y)) x)))))

simplify20.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	15
1	6	15

Stop Event

1×

saturated

Counts

52 → 48

Calls

Call 1

Inputs
x
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
x
x

Outputs
x
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
x
x

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
✓	0.2b	(*.f64 279195317918525/3350343815022304 y)

Compiler

Compiled 14 to 9 computations (35.7% saved)

series5.0ms (0%)

Counts

2 → 6

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	(*.f64 279195317918525/3350343815022304 y)
1.0ms	y	@	inf	(*.f64 279195317918525/3350343815022304 y)
1.0ms	y	@	-inf	(*.f64 279195317918525/3350343815022304 y)
1.0ms	y	@	inf	(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
0.0ms	x	@	0	(+.f64 (*.f64 279195317918525/3350343815022304 y) x)

rewrite110.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

687×	`pow1_binary64`
642×	`add-log-exp_binary64`
642×	`log1p-expm1-u_binary64`
642×	`expm1-log1p-u_binary64`
629×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	131	9
2	1732	9

Stop Event

1×	node limit

Counts

2 → 46

Calls

Call 1

Inputs
(*.f64 279195317918525/3350343815022304 y)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 279195317918525/3350343815022304 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 279195317918525/3350343815022304 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 279195317918525/3350343815022304 y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 279195317918525/3350343815022304 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 279195317918525/3350343815022304 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 279195317918525/3350343815022304) y))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 279195317918525/3350343815022304 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 279195317918525/3350343815022304 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 279195317918525/3350343815022304 y)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 279195317918525/3350343815022304 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 279195317918525/3350343815022304 y) 2) (-.f64 (*.f64 279195317918525/3350343815022304 y) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 279195317918525/3350343815022304 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 279195317918525/3350343815022304 y x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 279195317918525/3350343815022304 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 279195317918525/3350343815022304 y x)) (pow.f64 (cbrt.f64 (fma.f64 279195317918525/3350343815022304 y x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 279195317918525/3350343815022304 y x)) 2) (cbrt.f64 (fma.f64 279195317918525/3350343815022304 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 279195317918525/3350343815022304 y x)) (sqrt.f64 (fma.f64 279195317918525/3350343815022304 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 279195317918525/3350343815022304 y) 2) (*.f64 x (-.f64 x (*.f64 279195317918525/3350343815022304 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 279195317918525/3350343815022304 y) 2) (*.f64 x x)) (/.f64 1 (-.f64 (*.f64 279195317918525/3350343815022304 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 279195317918525/3350343815022304 y) 2) (*.f64 x (-.f64 x (*.f64 279195317918525/3350343815022304 y)))) (+.f64 (*.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 279195317918525/3350343815022304 y) x) (-.f64 (pow.f64 (*.f64 279195317918525/3350343815022304 y) 2) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 279195317918525/3350343815022304 y) 2) (*.f64 x (-.f64 x (*.f64 279195317918525/3350343815022304 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464) (pow.f64 x 3)) (+.f64 (*.f64 x x) (-.f64 (pow.f64 (*.f64 279195317918525/3350343815022304 y) 2) (*.f64 279195317918525/3350343815022304 (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 279195317918525/3350343815022304 y) 2) (*.f64 x x)) (-.f64 (*.f64 279195317918525/3350343815022304 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 279195317918525/3350343815022304 y) 2) (*.f64 x (-.f64 x (*.f64 279195317918525/3350343815022304 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 279195317918525/3350343815022304 y) 2) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 279195317918525/3350343815022304 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 279195317918525/3350343815022304 y) 2)) (-.f64 x (*.f64 279195317918525/3350343815022304 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 279195317918525/3350343815022304 y x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 279195317918525/3350343815022304 y x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 279195317918525/3350343815022304 y x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 279195317918525/3350343815022304 y x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 279195317918525/3350343815022304 y x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 279195317918525/3350343815022304 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 279195317918525/3350343815022304 y x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 279195317918525/3350343815022304 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 279195317918525/3350343815022304 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 279195317918525/3350343815022304 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 279195317918525/3350343815022304 y x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y 279195317918525/3350343815022304 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 279195317918525/3350343815022304 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 279195317918525/3350343815022304 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 279195317918525/3350343815022304 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 279195317918525/3350343815022304 y)) 2) (cbrt.f64 (*.f64 279195317918525/3350343815022304 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 279195317918525/3350343815022304 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 279195317918525/3350343815022304 y)) (sqrt.f64 (*.f64 279195317918525/3350343815022304 y)) x)))))

simplify14.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	15
1	6	15

Stop Event

1×

saturated

Counts

52 → 48

Calls

Call 1

Inputs
x
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
x
x

Outputs
x
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
x
x

localize41.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 z 6012459259764103/1000000000000000)
	0.2b	(*.f64 (+.f64 z 6012459259764103/1000000000000000) z)
✓	0.6b	(*.f64 y 11167812716741/40000000000000)
✓	3.8b	(/.f64 (.f64 y 11167812716741/40000000000000) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))

Compiler

Compiled 51 to 35 computations (31.4% saved)

series13.0ms (0.1%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	z	@	inf	(/.f64 (.f64 y 11167812716741/40000000000000) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
2.0ms	y	@	0	(/.f64 (.f64 y 11167812716741/40000000000000) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
1.0ms	z	@	0	(/.f64 (.f64 y 11167812716741/40000000000000) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
1.0ms	z	@	-inf	(/.f64 (.f64 y 11167812716741/40000000000000) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
1.0ms	y	@	-inf	(/.f64 (.f64 y 11167812716741/40000000000000) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))

rewrite158.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

584×	`log-prod_binary64`
338×	`pow-prod-down_binary64`
323×	`pow2_binary64`
248×	`prod-diff_binary64`
225×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	22
1	251	22
2	3335	22

Stop Event

1×	node limit

Counts

3 → 105

Calls

Call 1

Inputs

(/.f64 (*.f64 y 11167812716741/40000000000000) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))

(*.f64 y 11167812716741/40000000000000)

(+.f64 z 6012459259764103/1000000000000000)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))))))))) (#(struct:change #<rule egg-rr> (2) 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simplify143.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

549×	`distribute-rgt-in_binary64`
528×	`distribute-lft-in_binary64`
413×	`times-frac_binary64`
400×	`fma-def_binary64`
399×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	77	594
1	218	561
2	704	512
3	2376	495
4	6505	495

Stop Event

1×	node limit

Counts

153 → 128

Calls

Call 1

Inputs
(.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))))
(.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))))
(.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))))
(.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))))
(.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))))
(.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))))
(.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))))
(.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))))
(.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))))
(.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))))
(.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))))
(.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))))
(*.f64 279195317918525/3350343815022304 y)
(+.f64 (.f64 -1678650474502018223880473708075/11224803678858206361900017468416 (.f64 y z)) (*.f64 279195317918525/3350343815022304 y))
(+.f64 (.f64 -1678650474502018223880473708075/11224803678858206361900017468416 (.f64 y z)) (+.f64 (.f64 -11167812716741/40000000000000 (.f64 (pow.f64 z 2) (+.f64 (.f64 976562500000000000000000000/10961722342634967150292985809 y) (.f64 -1103200267038668987913305889728057861328125/1147673082894964476557575335949564252827623 y)))) (*.f64 279195317918525/3350343815022304 y)))
(+.f64 (.f64 -1678650474502018223880473708075/11224803678858206361900017468416 (.f64 y z)) (+.f64 (.f64 -11167812716741/40000000000000 (.f64 (pow.f64 z 2) (+.f64 (.f64 976562500000000000000000000/10961722342634967150292985809 y) (.f64 -1103200267038668987913305889728057861328125/1147673082894964476557575335949564252827623 y)))) (+.f64 (.f64 279195317918525/3350343815022304 y) (.f64 -11167812716741/40000000000000 (.f64 (+.f64 (.f64 -6012459259764103/3350343815022304 (+.f64 (.f64 976562500000000000000000000/10961722342634967150292985809 y) (.f64 -1103200267038668987913305889728057861328125/1147673082894964476557575335949564252827623 y))) (*.f64 -183485695183230682373046875000000000000000/1147673082894964476557575335949564252827623 y)) (pow.f64 z 3))))))
(*.f64 11167812716741/40000000000000 (/.f64 y (pow.f64 z 2)))
(+.f64 (.f64 11167812716741/40000000000000 (/.f64 y (pow.f64 z 2))) (.f64 -67146018980080728955218948323/40000000000000000000000000000 (/.f64 y (pow.f64 z 3))))
(+.f64 (.f64 11167812716741/40000000000000 (/.f64 y (pow.f64 z 2))) (+.f64 (.f64 -11167812716741/40000000000000 (/.f64 (+.f64 (.f64 -36149666350323105395943207394609/1000000000000000000000000000000 y) (.f64 104698244219447/31250000000000 y)) (pow.f64 z 4))) (*.f64 -67146018980080728955218948323/40000000000000000000000000000 (/.f64 y (pow.f64 z 3)))))
(+.f64 (.f64 11167812716741/40000000000000 (/.f64 y (pow.f64 z 2))) (+.f64 (.f64 -11167812716741/40000000000000 (/.f64 (+.f64 (.f64 -629493927938257585512585111041/31250000000000000000000000000 y) (.f64 -6012459259764103/1000000000000000 (+.f64 (.f64 -36149666350323105395943207394609/1000000000000000000000000000000 y) (.f64 104698244219447/31250000000000 y)))) (pow.f64 z 5))) (+.f64 (.f64 -11167812716741/40000000000000 (/.f64 (+.f64 (.f64 -36149666350323105395943207394609/1000000000000000000000000000000 y) (.f64 104698244219447/31250000000000 y)) (pow.f64 z 4))) (.f64 -67146018980080728955218948323/40000000000000000000000000000 (/.f64 y (pow.f64 z 3))))))
(*.f64 11167812716741/40000000000000 (/.f64 y (pow.f64 z 2)))
(+.f64 (.f64 11167812716741/40000000000000 (/.f64 y (pow.f64 z 2))) (.f64 -67146018980080728955218948323/40000000000000000000000000000 (/.f64 y (pow.f64 z 3))))
(+.f64 (.f64 11167812716741/40000000000000 (/.f64 y (pow.f64 z 2))) (+.f64 (.f64 -11167812716741/40000000000000 (/.f64 (+.f64 (.f64 -36149666350323105395943207394609/1000000000000000000000000000000 y) (.f64 104698244219447/31250000000000 y)) (pow.f64 z 4))) (*.f64 -67146018980080728955218948323/40000000000000000000000000000 (/.f64 y (pow.f64 z 3)))))
(+.f64 (.f64 11167812716741/40000000000000 (/.f64 y (pow.f64 z 2))) (+.f64 (.f64 11167812716741/40000000000000 (/.f64 (+.f64 (.f64 6012459259764103/1000000000000000 (+.f64 (.f64 -36149666350323105395943207394609/1000000000000000000000000000000 y) (.f64 104698244219447/31250000000000 y))) (.f64 629493927938257585512585111041/31250000000000000000000000000 y)) (pow.f64 z 5))) (+.f64 (.f64 -11167812716741/40000000000000 (/.f64 (+.f64 (.f64 -36149666350323105395943207394609/1000000000000000000000000000000 y) (.f64 104698244219447/31250000000000 y)) (pow.f64 z 4))) (.f64 -67146018980080728955218948323/40000000000000000000000000000 (/.f64 y (pow.f64 z 3))))))
(*.f64 11167812716741/40000000000000 y)
(*.f64 11167812716741/40000000000000 y)
(*.f64 11167812716741/40000000000000 y)
(*.f64 11167812716741/40000000000000 y)
(*.f64 11167812716741/40000000000000 y)
(*.f64 11167812716741/40000000000000 y)
(*.f64 11167812716741/40000000000000 y)
(*.f64 11167812716741/40000000000000 y)
(*.f64 11167812716741/40000000000000 y)
(*.f64 11167812716741/40000000000000 y)
(*.f64 11167812716741/40000000000000 y)
(*.f64 11167812716741/40000000000000 y)
6012459259764103/1000000000000000
(+.f64 6012459259764103/1000000000000000 z)
(+.f64 6012459259764103/1000000000000000 z)
(+.f64 6012459259764103/1000000000000000 z)
z
(+.f64 6012459259764103/1000000000000000 z)
(+.f64 6012459259764103/1000000000000000 z)
(+.f64 6012459259764103/1000000000000000 z)
z
(+.f64 6012459259764103/1000000000000000 z)
(+.f64 6012459259764103/1000000000000000 z)
(+.f64 6012459259764103/1000000000000000 z)

Outputs
(.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))))
(/.f64 (.f64 11167812716741/40000000000000 y) (+.f64 104698244219447/31250000000000 (.f64 z (+.f64 6012459259764103/1000000000000000 z))))
(*.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z (+.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000)))
(/.f64 11167812716741/40000000000000 (/.f64 (fma.f64 z (+.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000) y))
(.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))))
(/.f64 (.f64 11167812716741/40000000000000 y) (+.f64 104698244219447/31250000000000 (.f64 z (+.f64 6012459259764103/1000000000000000 z))))
(*.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z (+.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000)))
(/.f64 11167812716741/40000000000000 (/.f64 (fma.f64 z (+.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000) y))
(.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))))
(/.f64 (.f64 11167812716741/40000000000000 y) (+.f64 104698244219447/31250000000000 (.f64 z (+.f64 6012459259764103/1000000000000000 z))))
(*.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z (+.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000)))
(/.f64 11167812716741/40000000000000 (/.f64 (fma.f64 z (+.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000) y))
(.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))))
(/.f64 (.f64 11167812716741/40000000000000 y) (+.f64 104698244219447/31250000000000 (.f64 z (+.f64 6012459259764103/1000000000000000 z))))
(*.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z (+.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000)))
(/.f64 11167812716741/40000000000000 (/.f64 (fma.f64 z (+.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000) y))
(.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))))
(/.f64 (.f64 11167812716741/40000000000000 y) (+.f64 104698244219447/31250000000000 (.f64 z (+.f64 6012459259764103/1000000000000000 z))))
(*.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z (+.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000)))
(/.f64 11167812716741/40000000000000 (/.f64 (fma.f64 z (+.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000) y))
(.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))))
(/.f64 (.f64 11167812716741/40000000000000 y) (+.f64 104698244219447/31250000000000 (.f64 z (+.f64 6012459259764103/1000000000000000 z))))
(*.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z (+.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000)))
(/.f64 11167812716741/40000000000000 (/.f64 (fma.f64 z (+.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000) y))
(.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))))
(/.f64 (.f64 11167812716741/40000000000000 y) (+.f64 104698244219447/31250000000000 (.f64 z (+.f64 6012459259764103/1000000000000000 z))))
(*.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z (+.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000)))
(/.f64 11167812716741/40000000000000 (/.f64 (fma.f64 z (+.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000) y))
(.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))))
(/.f64 (.f64 11167812716741/40000000000000 y) (+.f64 104698244219447/31250000000000 (.f64 z (+.f64 6012459259764103/1000000000000000 z))))
(*.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z (+.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000)))
(/.f64 11167812716741/40000000000000 (/.f64 (fma.f64 z (+.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000) y))
(.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))))
(/.f64 (.f64 11167812716741/40000000000000 y) (+.f64 104698244219447/31250000000000 (.f64 z (+.f64 6012459259764103/1000000000000000 z))))
(*.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z (+.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000)))
(/.f64 11167812716741/40000000000000 (/.f64 (fma.f64 z (+.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000) y))
(.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))))
(/.f64 (.f64 11167812716741/40000000000000 y) (+.f64 104698244219447/31250000000000 (.f64 z (+.f64 6012459259764103/1000000000000000 z))))
(*.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z (+.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000)))
(/.f64 11167812716741/40000000000000 (/.f64 (fma.f64 z (+.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000) y))
(.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))))
(/.f64 (.f64 11167812716741/40000000000000 y) (+.f64 104698244219447/31250000000000 (.f64 z (+.f64 6012459259764103/1000000000000000 z))))
(*.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z (+.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000)))
(/.f64 11167812716741/40000000000000 (/.f64 (fma.f64 z (+.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000) y))
(.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))))
(/.f64 (.f64 11167812716741/40000000000000 y) (+.f64 104698244219447/31250000000000 (.f64 z (+.f64 6012459259764103/1000000000000000 z))))
(*.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z (+.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000)))
(/.f64 11167812716741/40000000000000 (/.f64 (fma.f64 z (+.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000) y))
(*.f64 279195317918525/3350343815022304 y)
(*.f64 y 279195317918525/3350343815022304)
(+.f64 (.f64 -1678650474502018223880473708075/11224803678858206361900017468416 (.f64 y z)) (*.f64 279195317918525/3350343815022304 y))
(fma.f64 -1678650474502018223880473708075/11224803678858206361900017468416 (.f64 y z) (.f64 y 279195317918525/3350343815022304))
(fma.f64 y 279195317918525/3350343815022304 (.f64 y (.f64 z -1678650474502018223880473708075/11224803678858206361900017468416)))
(.f64 y (+.f64 279195317918525/3350343815022304 (.f64 z -1678650474502018223880473708075/11224803678858206361900017468416)))
(+.f64 (.f64 -1678650474502018223880473708075/11224803678858206361900017468416 (.f64 y z)) (+.f64 (.f64 -11167812716741/40000000000000 (.f64 (pow.f64 z 2) (+.f64 (.f64 976562500000000000000000000/10961722342634967150292985809 y) (.f64 -1103200267038668987913305889728057861328125/1147673082894964476557575335949564252827623 y)))) (*.f64 279195317918525/3350343815022304 y)))
(fma.f64 -1678650474502018223880473708075/11224803678858206361900017468416 (.f64 y z) (fma.f64 -11167812716741/40000000000000 (.f64 (.f64 z z) (.f64 y -1000955887918115276975805889728057861328125/1147673082894964476557575335949564252827623)) (*.f64 y 279195317918525/3350343815022304)))
(fma.f64 -1678650474502018223880473708075/11224803678858206361900017468416 (.f64 y z) (fma.f64 y 279195317918525/3350343815022304 (.f64 -11167812716741/40000000000000 (.f64 (.f64 z z) (*.f64 y -1000955887918115276975805889728057861328125/1147673082894964476557575335949564252827623)))))
(fma.f64 (.f64 z z) (.f64 y 9157417282755548667831574904743338418186231725/37606951580302195967838628608395321436655550464) (.f64 y (+.f64 279195317918525/3350343815022304 (.f64 z -1678650474502018223880473708075/11224803678858206361900017468416))))
(+.f64 (.f64 -1678650474502018223880473708075/11224803678858206361900017468416 (.f64 y z)) (+.f64 (.f64 -11167812716741/40000000000000 (.f64 (pow.f64 z 2) (+.f64 (.f64 976562500000000000000000000/10961722342634967150292985809 y) (.f64 -1103200267038668987913305889728057861328125/1147673082894964476557575335949564252827623 y)))) (+.f64 (.f64 279195317918525/3350343815022304 y) (.f64 -11167812716741/40000000000000 (.f64 (+.f64 (.f64 -6012459259764103/3350343815022304 (+.f64 (.f64 976562500000000000000000000/10961722342634967150292985809 y) (.f64 -1103200267038668987913305889728057861328125/1147673082894964476557575335949564252827623 y))) (*.f64 -183485695183230682373046875000000000000000/1147673082894964476557575335949564252827623 y)) (pow.f64 z 3))))))
(fma.f64 -1678650474502018223880473708075/11224803678858206361900017468416 (.f64 y z) (fma.f64 -11167812716741/40000000000000 (.f64 (.f64 z z) (.f64 y -1000955887918115276975805889728057861328125/1147673082894964476557575335949564252827623)) (fma.f64 279195317918525/3350343815022304 y (.f64 (.f64 -11167812716741/40000000000000 (fma.f64 -6012459259764103/3350343815022304 (.f64 y -1000955887918115276975805889728057861328125/1147673082894964476557575335949564252827623) (.f64 y -183485695183230682373046875000000000000000/1147673082894964476557575335949564252827623))) (pow.f64 z 3)))))
(fma.f64 -1678650474502018223880473708075/11224803678858206361900017468416 (.f64 y z) (fma.f64 -11167812716741/40000000000000 (.f64 (.f64 z z) (.f64 y -1000955887918115276975805889728057861328125/1147673082894964476557575335949564252827623)) (fma.f64 y 279195317918525/3350343815022304 (.f64 (fma.f64 y -183485695183230682373046875000000000000000/1147673082894964476557575335949564252827623 (.f64 y 6018206496928671827708429278165238688188901389373779296875/3845099414944724229120274305880309906699142060296812303392)) (*.f64 (pow.f64 z 3) -11167812716741/40000000000000)))))
(fma.f64 y (.f64 z -1678650474502018223880473708075/11224803678858206361900017468416) (fma.f64 y 279195317918525/3350343815022304 (.f64 (.f64 z z) (+.f64 (.f64 -11167812716741/40000000000000 (.f64 z (.f64 y 5403466332926467154356295380664262125688901389373779296875/3845099414944724229120274305880309906699142060296812303392))) (*.f64 y 9157417282755548667831574904743338418186231725/37606951580302195967838628608395321436655550464)))))
(fma.f64 y (.f64 z -1678650474502018223880473708075/11224803678858206361900017468416) (fma.f64 y 279195317918525/3350343815022304 (.f64 (.f64 z z) (+.f64 (.f64 z (.f64 y -49434542102395337057955907590727616078723417236647145994767675/125996217628908723539813148455085995022717487031805945557549056)) (.f64 y 9157417282755548667831574904743338418186231725/37606951580302195967838628608395321436655550464)))))
(*.f64 11167812716741/40000000000000 (/.f64 y (pow.f64 z 2)))
(/.f64 (.f64 11167812716741/40000000000000 y) (.f64 z z))
(.f64 11167812716741/40000000000000 (/.f64 y (.f64 z z)))
(.f64 y (/.f64 11167812716741/40000000000000 (.f64 z z)))
(+.f64 (.f64 11167812716741/40000000000000 (/.f64 y (pow.f64 z 2))) (.f64 -67146018980080728955218948323/40000000000000000000000000000 (/.f64 y (pow.f64 z 3))))
(fma.f64 11167812716741/40000000000000 (/.f64 y (.f64 z z)) (.f64 -67146018980080728955218948323/40000000000000000000000000000 (/.f64 y (pow.f64 z 3))))
(.f64 (/.f64 y (.f64 z z)) (+.f64 11167812716741/40000000000000 (/.f64 -67146018980080728955218948323/40000000000000000000000000000 z)))
(+.f64 (.f64 11167812716741/40000000000000 (/.f64 y (pow.f64 z 2))) (+.f64 (.f64 -11167812716741/40000000000000 (/.f64 (+.f64 (.f64 -36149666350323105395943207394609/1000000000000000000000000000000 y) (.f64 104698244219447/31250000000000 y)) (pow.f64 z 4))) (*.f64 -67146018980080728955218948323/40000000000000000000000000000 (/.f64 y (pow.f64 z 3)))))
(fma.f64 11167812716741/40000000000000 (/.f64 y (.f64 z z)) (fma.f64 -11167812716741/40000000000000 (/.f64 (.f64 y -32799322535300801395943207394609/1000000000000000000000000000000) (pow.f64 z 4)) (*.f64 -67146018980080728955218948323/40000000000000000000000000000 (/.f64 y (pow.f64 z 3)))))
(fma.f64 11167812716741/40000000000000 (/.f64 y (.f64 z z)) (fma.f64 -67146018980080728955218948323/40000000000000000000000000000 (/.f64 y (pow.f64 z 3)) (/.f64 -11167812716741/40000000000000 (/.f64 (pow.f64 z 4) (.f64 y -32799322535300801395943207394609/1000000000000000000000000000000)))))
(+.f64 (.f64 (/.f64 y (.f64 z z)) (+.f64 11167812716741/40000000000000 (/.f64 -67146018980080728955218948323/40000000000000000000000000000 z))) (/.f64 (*.f64 y 366296691310221946713262996189733536727449269/40000000000000000000000000000000000000000000) (pow.f64 z 4)))
(.f64 (/.f64 y (.f64 z z)) (+.f64 (+.f64 11167812716741/40000000000000 (/.f64 -67146018980080728955218948323/40000000000000000000000000000 z)) (/.f64 366296691310221946713262996189733536727449269/40000000000000000000000000000000000000000000 (*.f64 z z))))
(+.f64 (.f64 11167812716741/40000000000000 (/.f64 y (pow.f64 z 2))) (+.f64 (.f64 -11167812716741/40000000000000 (/.f64 (+.f64 (.f64 -629493927938257585512585111041/31250000000000000000000000000 y) (.f64 -6012459259764103/1000000000000000 (+.f64 (.f64 -36149666350323105395943207394609/1000000000000000000000000000000 y) (.f64 104698244219447/31250000000000 y)))) (pow.f64 z 5))) (+.f64 (.f64 -11167812716741/40000000000000 (/.f64 (+.f64 (.f64 -36149666350323105395943207394609/1000000000000000000000000000000 y) (.f64 104698244219447/31250000000000 y)) (pow.f64 z 4))) (.f64 -67146018980080728955218948323/40000000000000000000000000000 (/.f64 y (pow.f64 z 3))))))
(fma.f64 11167812716741/40000000000000 (/.f64 y (.f64 z z)) (fma.f64 -11167812716741/40000000000000 (/.f64 (fma.f64 -629493927938257585512585111041/31250000000000000000000000000 y (.f64 (.f64 y -32799322535300801395943207394609/1000000000000000000000000000000) -6012459259764103/1000000000000000)) (pow.f64 z 5)) (fma.f64 -11167812716741/40000000000000 (/.f64 (.f64 y -32799322535300801395943207394609/1000000000000000000000000000000) (pow.f64 z 4)) (*.f64 -67146018980080728955218948323/40000000000000000000000000000 (/.f64 y (pow.f64 z 3))))))
(fma.f64 11167812716741/40000000000000 (/.f64 y (.f64 z z)) (fma.f64 -11167812716741/40000000000000 (/.f64 (fma.f64 y -629493927938257585512585111041/31250000000000000000000000000 (.f64 y 197204590491358718450349810586918541334573920727/1000000000000000000000000000000000000000000000)) (pow.f64 z 5)) (fma.f64 -67146018980080728955218948323/40000000000000000000000000000 (/.f64 y (pow.f64 z 3)) (/.f64 -11167812716741/40000000000000 (/.f64 (pow.f64 z 4) (*.f64 y -32799322535300801395943207394609/1000000000000000000000000000000))))))
(+.f64 (.f64 (/.f64 y (.f64 z z)) (+.f64 11167812716741/40000000000000 (/.f64 -67146018980080728955218948323/40000000000000000000000000000 z))) (fma.f64 11167812716741/40000000000000 (/.f64 (.f64 y -177060784797334475713947087033606541334573920727/1000000000000000000000000000000000000000000000) (pow.f64 z 5)) (/.f64 (.f64 y 366296691310221946713262996189733536727449269/40000000000000000000000000000000000000000000) (pow.f64 z 4))))
(+.f64 (.f64 (/.f64 y (.f64 z z)) (+.f64 (+.f64 11167812716741/40000000000000 (/.f64 -67146018980080728955218948323/40000000000000000000000000000 z)) (/.f64 366296691310221946713262996189733536727449269/40000000000000000000000000000000000000000000 (.f64 z z)))) (/.f64 (.f64 y -1977381684095813482318236303629104643148936689465885839790707/40000000000000000000000000000000000000000000000000000000000) (pow.f64 z 5)))
(*.f64 11167812716741/40000000000000 (/.f64 y (pow.f64 z 2)))
(/.f64 (.f64 11167812716741/40000000000000 y) (.f64 z z))
(.f64 11167812716741/40000000000000 (/.f64 y (.f64 z z)))
(.f64 y (/.f64 11167812716741/40000000000000 (.f64 z z)))
(+.f64 (.f64 11167812716741/40000000000000 (/.f64 y (pow.f64 z 2))) (.f64 -67146018980080728955218948323/40000000000000000000000000000 (/.f64 y (pow.f64 z 3))))
(fma.f64 11167812716741/40000000000000 (/.f64 y (.f64 z z)) (.f64 -67146018980080728955218948323/40000000000000000000000000000 (/.f64 y (pow.f64 z 3))))
(.f64 (/.f64 y (.f64 z z)) (+.f64 11167812716741/40000000000000 (/.f64 -67146018980080728955218948323/40000000000000000000000000000 z)))
(+.f64 (.f64 11167812716741/40000000000000 (/.f64 y (pow.f64 z 2))) (+.f64 (.f64 -11167812716741/40000000000000 (/.f64 (+.f64 (.f64 -36149666350323105395943207394609/1000000000000000000000000000000 y) (.f64 104698244219447/31250000000000 y)) (pow.f64 z 4))) (*.f64 -67146018980080728955218948323/40000000000000000000000000000 (/.f64 y (pow.f64 z 3)))))
(fma.f64 11167812716741/40000000000000 (/.f64 y (.f64 z z)) (fma.f64 -11167812716741/40000000000000 (/.f64 (.f64 y -32799322535300801395943207394609/1000000000000000000000000000000) (pow.f64 z 4)) (*.f64 -67146018980080728955218948323/40000000000000000000000000000 (/.f64 y (pow.f64 z 3)))))
(fma.f64 11167812716741/40000000000000 (/.f64 y (.f64 z z)) (fma.f64 -67146018980080728955218948323/40000000000000000000000000000 (/.f64 y (pow.f64 z 3)) (/.f64 -11167812716741/40000000000000 (/.f64 (pow.f64 z 4) (.f64 y -32799322535300801395943207394609/1000000000000000000000000000000)))))
(+.f64 (.f64 (/.f64 y (.f64 z z)) (+.f64 11167812716741/40000000000000 (/.f64 -67146018980080728955218948323/40000000000000000000000000000 z))) (/.f64 (*.f64 y 366296691310221946713262996189733536727449269/40000000000000000000000000000000000000000000) (pow.f64 z 4)))
(.f64 (/.f64 y (.f64 z z)) (+.f64 (+.f64 11167812716741/40000000000000 (/.f64 -67146018980080728955218948323/40000000000000000000000000000 z)) (/.f64 366296691310221946713262996189733536727449269/40000000000000000000000000000000000000000000 (*.f64 z z))))
(+.f64 (.f64 11167812716741/40000000000000 (/.f64 y (pow.f64 z 2))) (+.f64 (.f64 11167812716741/40000000000000 (/.f64 (+.f64 (.f64 6012459259764103/1000000000000000 (+.f64 (.f64 -36149666350323105395943207394609/1000000000000000000000000000000 y) (.f64 104698244219447/31250000000000 y))) (.f64 629493927938257585512585111041/31250000000000000000000000000 y)) (pow.f64 z 5))) (+.f64 (.f64 -11167812716741/40000000000000 (/.f64 (+.f64 (.f64 -36149666350323105395943207394609/1000000000000000000000000000000 y) (.f64 104698244219447/31250000000000 y)) (pow.f64 z 4))) (.f64 -67146018980080728955218948323/40000000000000000000000000000 (/.f64 y (pow.f64 z 3))))))
(fma.f64 11167812716741/40000000000000 (/.f64 y (.f64 z z)) (fma.f64 -11167812716741/40000000000000 (/.f64 (fma.f64 -629493927938257585512585111041/31250000000000000000000000000 y (.f64 (.f64 y -32799322535300801395943207394609/1000000000000000000000000000000) -6012459259764103/1000000000000000)) (pow.f64 z 5)) (fma.f64 -11167812716741/40000000000000 (/.f64 (.f64 y -32799322535300801395943207394609/1000000000000000000000000000000) (pow.f64 z 4)) (*.f64 -67146018980080728955218948323/40000000000000000000000000000 (/.f64 y (pow.f64 z 3))))))
(fma.f64 11167812716741/40000000000000 (/.f64 y (.f64 z z)) (fma.f64 -11167812716741/40000000000000 (/.f64 (fma.f64 y -629493927938257585512585111041/31250000000000000000000000000 (.f64 y 197204590491358718450349810586918541334573920727/1000000000000000000000000000000000000000000000)) (pow.f64 z 5)) (fma.f64 -67146018980080728955218948323/40000000000000000000000000000 (/.f64 y (pow.f64 z 3)) (/.f64 -11167812716741/40000000000000 (/.f64 (pow.f64 z 4) (*.f64 y -32799322535300801395943207394609/1000000000000000000000000000000))))))
(+.f64 (.f64 (/.f64 y (.f64 z z)) (+.f64 11167812716741/40000000000000 (/.f64 -67146018980080728955218948323/40000000000000000000000000000 z))) (fma.f64 11167812716741/40000000000000 (/.f64 (.f64 y -177060784797334475713947087033606541334573920727/1000000000000000000000000000000000000000000000) (pow.f64 z 5)) (/.f64 (.f64 y 366296691310221946713262996189733536727449269/40000000000000000000000000000000000000000000) (pow.f64 z 4))))
(+.f64 (.f64 (/.f64 y (.f64 z z)) (+.f64 (+.f64 11167812716741/40000000000000 (/.f64 -67146018980080728955218948323/40000000000000000000000000000 z)) (/.f64 366296691310221946713262996189733536727449269/40000000000000000000000000000000000000000000 (.f64 z z)))) (/.f64 (.f64 y -1977381684095813482318236303629104643148936689465885839790707/40000000000000000000000000000000000000000000000000000000000) (pow.f64 z 5)))
(*.f64 11167812716741/40000000000000 y)
(*.f64 11167812716741/40000000000000 y)
(*.f64 11167812716741/40000000000000 y)
(*.f64 11167812716741/40000000000000 y)
(*.f64 11167812716741/40000000000000 y)
(*.f64 11167812716741/40000000000000 y)
(*.f64 11167812716741/40000000000000 y)
(*.f64 11167812716741/40000000000000 y)
(*.f64 11167812716741/40000000000000 y)
(*.f64 11167812716741/40000000000000 y)
(*.f64 11167812716741/40000000000000 y)
(*.f64 11167812716741/40000000000000 y)
6012459259764103/1000000000000000
(+.f64 6012459259764103/1000000000000000 z)
(+.f64 6012459259764103/1000000000000000 z)
(+.f64 6012459259764103/1000000000000000 z)
z
(+.f64 6012459259764103/1000000000000000 z)
(+.f64 6012459259764103/1000000000000000 z)
(+.f64 6012459259764103/1000000000000000 z)
z
(+.f64 6012459259764103/1000000000000000 z)
(+.f64 6012459259764103/1000000000000000 z)
(+.f64 6012459259764103/1000000000000000 z)

localize89.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(.f64 (+.f64 (/.f64 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))) (.f64 11167812716741/40000000000000 (/.f64 1 (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))))) y)
✓	0.5b	(*.f64 692910599291889/10000000000000000 z)
✓	0.6b	(.f64 11167812716741/40000000000000 (/.f64 1 (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))))
✓	17.9b	(/.f64 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z)))

Compiler

Compiled 132 to 100 computations (24.2% saved)

series19.0ms (0.1%)

Counts

4 → 36

Calls

15 calls:

Time	Variable		Point	Expression
6.0ms	z	@	inf	(/.f64 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
2.0ms	y	@	0	(.f64 (+.f64 (/.f64 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))) (.f64 11167812716741/40000000000000 (/.f64 1 (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))))) y)
2.0ms	z	@	0	(.f64 (+.f64 (/.f64 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))) (.f64 11167812716741/40000000000000 (/.f64 1 (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))))) y)
1.0ms	y	@	inf	(.f64 (+.f64 (/.f64 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))) (.f64 11167812716741/40000000000000 (/.f64 1 (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))))) y)
1.0ms	y	@	-inf	(.f64 (+.f64 (/.f64 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))) (.f64 11167812716741/40000000000000 (/.f64 1 (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))))) y)

rewrite180.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

736×	`fma-def_binary64`
391×	`expm1-udef_binary64`
391×	`log1p-udef_binary64`
338×	`fma-neg_binary64`
225×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	79
1	451	60
2	6157	58

Stop Event

1×	node limit

Counts

4 → 104

Calls

Call 1

Inputs
(/.f64 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
(.f64 11167812716741/40000000000000 (/.f64 1 (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))))
(*.f64 692910599291889/10000000000000000 z)
(.f64 (+.f64 (/.f64 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))) (.f64 11167812716741/40000000000000 (/.f64 1 (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))))) y)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 z (.f64 (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) (/.f64 1 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) (.f64 z (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000)) (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (/.f64 (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) z))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (/.f64 (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) z)) (pow.f64 (cbrt.f64 (.f64 (/.f64 (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) z)) 2) (cbrt.f64 (.f64 (/.f64 (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000))) 2) (.f64 (cbrt.f64 (.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000))) (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) -1/2) (/.f64 (.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000)) (sqrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (/.f64 (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) z)) (sqrt.f64 (.f64 (/.f64 (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) z)))))) (#(struct:change #<rule egg-rr> (2) ((x 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11167812716741/40000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (.f64 (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (.f64 (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 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104698244219447/31250000000000)) (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (.f64 (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (/.f64 (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) z) y (.f64 (/.f64 11167812716741/40000000000000 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 11167812716741/40000000000000 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y (.f64 (.f64 (/.f64 (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) z) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (.f64 (/.f64 (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) z) (.f64 y (/.f64 11167812716741/40000000000000 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (/.f64 11167812716741/40000000000000 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (.f64 y (.f64 (/.f64 (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) z)))))))

simplify92.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

737×	`distribute-lft-out_binary64`
439×	`associate-l_binary64`
384×	`distribute-rgt-out_binary64`
384×	`fma-def_binary64`
350×	`fma-neg_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	96	564
1	255	562
2	665	537
3	1936	523
4	5313	520

Stop Event

1×	node limit

Counts

140 → 147

Calls

Call 1

Inputs
(*.f64 307332350656623/2093964884388940 z)
(+.f64 (.f64 -1702730191236670109104688273403/7015502299286378976187510917760 (pow.f64 z 2)) (.f64 307332350656623/2093964884388940 z))
(+.f64 (.f64 -1702730191236670109104688273403/7015502299286378976187510917760 (pow.f64 z 2)) (+.f64 (.f64 9207926865002136307543746230715810412149052509/23504344737688872479899142880247075897909719040 (pow.f64 z 3)) (*.f64 307332350656623/2093964884388940 z)))
(+.f64 (.f64 -1702730191236670109104688273403/7015502299286378976187510917760 (pow.f64 z 2)) (+.f64 (.f64 -49657553577851219442980585697004482616647839217168558300284427/78747636018067952212383217784428746889198429394878715973468160 (pow.f64 z 4)) (+.f64 (.f64 9207926865002136307543746230715810412149052509/23504344737688872479899142880247075897909719040 (pow.f64 z 3)) (.f64 307332350656623/2093964884388940 z))))
692910599291889/10000000000000000
(+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))
(-.f64 (+.f64 692910599291889/10000000000000000 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z))) (.f64 6838173566184461718548694042263781576003973599/10000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 2))))
(-.f64 (+.f64 692910599291889/10000000000000000 (+.f64 (.f64 38597391810486664391914000649665904549915271947668467379916697/10000000000000000000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 3))) (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))) (*.f64 6838173566184461718548694042263781576003973599/10000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 2))))
692910599291889/10000000000000000
(+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))
(-.f64 (+.f64 692910599291889/10000000000000000 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z))) (.f64 6838173566184461718548694042263781576003973599/10000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 2))))
(-.f64 (+.f64 692910599291889/10000000000000000 (+.f64 (.f64 38597391810486664391914000649665904549915271947668467379916697/10000000000000000000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 3))) (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))) (*.f64 6838173566184461718548694042263781576003973599/10000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 2))))
279195317918525/3350343815022304
(+.f64 279195317918525/3350343815022304 (*.f64 -1678650474502018223880473708075/11224803678858206361900017468416 z))
(+.f64 279195317918525/3350343815022304 (+.f64 (.f64 -1678650474502018223880473708075/11224803678858206361900017468416 z) (.f64 9157417282755548667831574904743338418186231725/37606951580302195967838628608395321436655550464 (pow.f64 z 2))))
(+.f64 279195317918525/3350343815022304 (+.f64 (.f64 -1678650474502018223880473708075/11224803678858206361900017468416 z) (+.f64 (.f64 -49434542102395337057955907590727616078723417236647145994767675/125996217628908723539813148455085995022717487031805945557549056 (pow.f64 z 3)) (*.f64 9157417282755548667831574904743338418186231725/37606951580302195967838628608395321436655550464 (pow.f64 z 2)))))
(/.f64 11167812716741/40000000000000 (pow.f64 z 2))
(-.f64 (.f64 11167812716741/40000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 67146018980080728955218948323/40000000000000000000000000000 (/.f64 1 (pow.f64 z 3))))
(-.f64 (+.f64 (.f64 366296691310221946713262996189733536727449269/40000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 4))) (.f64 11167812716741/40000000000000 (/.f64 1 (pow.f64 z 2)))) (*.f64 67146018980080728955218948323/40000000000000000000000000000 (/.f64 1 (pow.f64 z 3))))
(-.f64 (+.f64 (.f64 366296691310221946713262996189733536727449269/40000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 4))) (.f64 11167812716741/40000000000000 (/.f64 1 (pow.f64 z 2)))) (+.f64 (.f64 67146018980080728955218948323/40000000000000000000000000000 (/.f64 1 (pow.f64 z 3))) (.f64 1977381684095813482318236303629104643148936689465885839790707/40000000000000000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 5)))))
(/.f64 11167812716741/40000000000000 (pow.f64 z 2))
(-.f64 (.f64 11167812716741/40000000000000 (/.f64 1 (pow.f64 z 2))) (.f64 67146018980080728955218948323/40000000000000000000000000000 (/.f64 1 (pow.f64 z 3))))
(-.f64 (+.f64 (.f64 366296691310221946713262996189733536727449269/40000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 4))) (.f64 11167812716741/40000000000000 (/.f64 1 (pow.f64 z 2)))) (*.f64 67146018980080728955218948323/40000000000000000000000000000 (/.f64 1 (pow.f64 z 3))))
(-.f64 (+.f64 (.f64 366296691310221946713262996189733536727449269/40000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 4))) (.f64 11167812716741/40000000000000 (/.f64 1 (pow.f64 z 2)))) (+.f64 (.f64 67146018980080728955218948323/40000000000000000000000000000 (/.f64 1 (pow.f64 z 3))) (.f64 1977381684095813482318236303629104643148936689465885839790707/40000000000000000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 5)))))
(*.f64 279195317918525/3350343815022304 y)
(+.f64 (.f64 279195317918525/3350343815022304 y) (.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)))
(+.f64 (.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (.f64 y (pow.f64 z 2))) (+.f64 (.f64 279195317918525/3350343815022304 y) (.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))))
(+.f64 (.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (.f64 y (pow.f64 z 2))) (+.f64 (.f64 279195317918525/3350343815022304 y) (+.f64 (.f64 -155900051080628738716045985239/56124018394291031809500087342080 (.f64 y z)) (.f64 -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 (*.f64 y (pow.f64 z 3))))))
(*.f64 692910599291889/10000000000000000 y)
(+.f64 (.f64 692910599291889/10000000000000000 y) (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)))
(+.f64 (.f64 -4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (/.f64 y (pow.f64 z 2))) (+.f64 (.f64 692910599291889/10000000000000000 y) (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))))
(+.f64 (.f64 21810887065466482153109263568915904549915271947668467379916697/10000000000000000000000000000000000000000000000000000000000000 (/.f64 y (pow.f64 z 3))) (+.f64 (.f64 -4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (/.f64 y (pow.f64 z 2))) (+.f64 (.f64 692910599291889/10000000000000000 y) (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)))))
(*.f64 692910599291889/10000000000000000 y)
(+.f64 (.f64 692910599291889/10000000000000000 y) (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)))
(+.f64 (.f64 -4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (/.f64 y (pow.f64 z 2))) (+.f64 (.f64 692910599291889/10000000000000000 y) (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))))
(+.f64 (.f64 21810887065466482153109263568915904549915271947668467379916697/10000000000000000000000000000000000000000000000000000000000000 (/.f64 y (pow.f64 z 3))) (+.f64 (.f64 -4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (/.f64 y (pow.f64 z 2))) (+.f64 (.f64 692910599291889/10000000000000000 y) (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)))))

Outputs
(*.f64 307332350656623/2093964884388940 z)
(+.f64 (.f64 -1702730191236670109104688273403/7015502299286378976187510917760 (pow.f64 z 2)) (.f64 307332350656623/2093964884388940 z))
(fma.f64 -1702730191236670109104688273403/7015502299286378976187510917760 (.f64 z z) (.f64 307332350656623/2093964884388940 z))
(fma.f64 307332350656623/2093964884388940 z (.f64 -1702730191236670109104688273403/7015502299286378976187510917760 (.f64 z z)))
(.f64 z (+.f64 307332350656623/2093964884388940 (.f64 z -1702730191236670109104688273403/7015502299286378976187510917760)))
(+.f64 (.f64 -1702730191236670109104688273403/7015502299286378976187510917760 (pow.f64 z 2)) (+.f64 (.f64 9207926865002136307543746230715810412149052509/23504344737688872479899142880247075897909719040 (pow.f64 z 3)) (*.f64 307332350656623/2093964884388940 z)))
(fma.f64 -1702730191236670109104688273403/7015502299286378976187510917760 (.f64 z z) (fma.f64 9207926865002136307543746230715810412149052509/23504344737688872479899142880247075897909719040 (pow.f64 z 3) (.f64 307332350656623/2093964884388940 z)))
(fma.f64 -1702730191236670109104688273403/7015502299286378976187510917760 (.f64 z z) (fma.f64 307332350656623/2093964884388940 z (.f64 9207926865002136307543746230715810412149052509/23504344737688872479899142880247075897909719040 (pow.f64 z 3))))
(fma.f64 307332350656623/2093964884388940 z (.f64 (.f64 z z) (+.f64 -1702730191236670109104688273403/7015502299286378976187510917760 (*.f64 z 9207926865002136307543746230715810412149052509/23504344737688872479899142880247075897909719040))))
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(fma.f64 279195317918525/3350343815022304 y (.f64 z (.f64 y -155900051080628738716045985239/56124018394291031809500087342080)))
(.f64 y (+.f64 279195317918525/3350343815022304 (.f64 z -155900051080628738716045985239/56124018394291031809500087342080)))
(+.f64 (.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (.f64 y (pow.f64 z 2))) (+.f64 (.f64 279195317918525/3350343815022304 y) (.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))))
(fma.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (.f64 (.f64 z z) y) (fma.f64 279195317918525/3350343815022304 y (.f64 -155900051080628738716045985239/56124018394291031809500087342080 (.f64 z y))))
(fma.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (.f64 (.f64 z z) y) (fma.f64 279195317918525/3350343815022304 y (.f64 z (.f64 y -155900051080628738716045985239/56124018394291031809500087342080))))
(fma.f64 z (.f64 y -155900051080628738716045985239/56124018394291031809500087342080) (.f64 y (+.f64 279195317918525/3350343815022304 (.f64 z (.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320)))))
(.f64 y (+.f64 (.f64 z (+.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320))) 279195317918525/3350343815022304))
(+.f64 (.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (.f64 y (pow.f64 z 2))) (+.f64 (.f64 279195317918525/3350343815022304 y) (+.f64 (.f64 -155900051080628738716045985239/56124018394291031809500087342080 (.f64 y z)) (.f64 -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 (*.f64 y (pow.f64 z 3))))))
(fma.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (.f64 (.f64 z z) y) (fma.f64 279195317918525/3350343815022304 y (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (.f64 z y) (.f64 (*.f64 -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 y) (pow.f64 z 3)))))
(fma.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (.f64 (.f64 z z) y) (fma.f64 279195317918525/3350343815022304 y (fma.f64 (.f64 y -155900051080628738716045985239/56124018394291031809500087342080) z (.f64 (pow.f64 z 3) (*.f64 y -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280)))))
(fma.f64 279195317918525/3350343815022304 y (fma.f64 (.f64 z z) (.f64 y 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320) (.f64 y (+.f64 (.f64 z -155900051080628738716045985239/56124018394291031809500087342080) (*.f64 (pow.f64 z 3) -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280)))))
(.f64 y (+.f64 (+.f64 279195317918525/3350343815022304 (.f64 z -155900051080628738716045985239/56124018394291031809500087342080)) (.f64 (.f64 z z) (+.f64 (*.f64 z -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280) 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320))))
(.f64 y (+.f64 279195317918525/3350343815022304 (.f64 z (+.f64 -155900051080628738716045985239/56124018394291031809500087342080 (.f64 z (+.f64 (.f64 z -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280) 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320))))))
(*.f64 692910599291889/10000000000000000 y)
(+.f64 (.f64 692910599291889/10000000000000000 y) (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)))
(fma.f64 692910599291889/10000000000000000 y (/.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 y) z))
(fma.f64 692910599291889/10000000000000000 y (/.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 z y)))
(fma.f64 692910599291889/10000000000000000 y (*.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) y))
(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))
(+.f64 (.f64 -4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (/.f64 y (pow.f64 z 2))) (+.f64 (.f64 692910599291889/10000000000000000 y) (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))))
(fma.f64 -4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (/.f64 y (.f64 z z)) (fma.f64 692910599291889/10000000000000000 y (/.f64 (.f64 751220861604756070699018739433/10000000000000000000000000000000 y) z)))
(fma.f64 -4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (/.f64 y (*.f64 z z)) (fma.f64 692910599291889/10000000000000000 y (/.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 z y))))
(fma.f64 692910599291889/10000000000000000 y (*.f64 (/.f64 y z) (+.f64 (/.f64 -4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 z) 751220861604756070699018739433/10000000000000000000000000000000)))
(fma.f64 692910599291889/10000000000000000 y (*.f64 (/.f64 y z) (+.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 -4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 z))))
(+.f64 (.f64 21810887065466482153109263568915904549915271947668467379916697/10000000000000000000000000000000000000000000000000000000000000 (/.f64 y (pow.f64 z 3))) (+.f64 (.f64 -4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (/.f64 y (pow.f64 z 2))) (+.f64 (.f64 692910599291889/10000000000000000 y) (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)))))
(fma.f64 21810887065466482153109263568915904549915271947668467379916697/10000000000000000000000000000000000000000000000000000000000000 (/.f64 y (pow.f64 z 3)) (fma.f64 -4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (/.f64 y (.f64 z z)) (fma.f64 692910599291889/10000000000000000 y (/.f64 (.f64 751220861604756070699018739433/10000000000000000000000000000000 y) z))))
(fma.f64 21810887065466482153109263568915904549915271947668467379916697/10000000000000000000000000000000000000000000000000000000000000 (/.f64 y (pow.f64 z 3)) (fma.f64 -4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (/.f64 y (*.f64 z z)) (fma.f64 692910599291889/10000000000000000 y (/.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 z y)))))
(fma.f64 21810887065466482153109263568915904549915271947668467379916697/10000000000000000000000000000000000000000000000000000000000000 (/.f64 y (pow.f64 z 3)) (fma.f64 692910599291889/10000000000000000 y (*.f64 (/.f64 y z) (+.f64 (/.f64 -4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 z) 751220861604756070699018739433/10000000000000000000000000000000))))
(fma.f64 21810887065466482153109263568915904549915271947668467379916697/10000000000000000000000000000000000000000000000000000000000000 (/.f64 y (pow.f64 z 3)) (fma.f64 692910599291889/10000000000000000 y (*.f64 (/.f64 y z) (+.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 -4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 z)))))
(*.f64 692910599291889/10000000000000000 y)
(+.f64 (.f64 692910599291889/10000000000000000 y) (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)))
(fma.f64 692910599291889/10000000000000000 y (/.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 y) z))
(fma.f64 692910599291889/10000000000000000 y (/.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 z y)))
(fma.f64 692910599291889/10000000000000000 y (*.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) y))
(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))
(+.f64 (.f64 -4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (/.f64 y (pow.f64 z 2))) (+.f64 (.f64 692910599291889/10000000000000000 y) (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))))
(fma.f64 -4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (/.f64 y (.f64 z z)) (fma.f64 692910599291889/10000000000000000 y (/.f64 (.f64 751220861604756070699018739433/10000000000000000000000000000000 y) z)))
(fma.f64 -4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (/.f64 y (*.f64 z z)) (fma.f64 692910599291889/10000000000000000 y (/.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 z y))))
(fma.f64 692910599291889/10000000000000000 y (*.f64 (/.f64 y z) (+.f64 (/.f64 -4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 z) 751220861604756070699018739433/10000000000000000000000000000000)))
(fma.f64 692910599291889/10000000000000000 y (*.f64 (/.f64 y z) (+.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 -4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 z))))
(+.f64 (.f64 21810887065466482153109263568915904549915271947668467379916697/10000000000000000000000000000000000000000000000000000000000000 (/.f64 y (pow.f64 z 3))) (+.f64 (.f64 -4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (/.f64 y (pow.f64 z 2))) (+.f64 (.f64 692910599291889/10000000000000000 y) (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)))))
(fma.f64 21810887065466482153109263568915904549915271947668467379916697/10000000000000000000000000000000000000000000000000000000000000 (/.f64 y (pow.f64 z 3)) (fma.f64 -4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (/.f64 y (.f64 z z)) (fma.f64 692910599291889/10000000000000000 y (/.f64 (.f64 751220861604756070699018739433/10000000000000000000000000000000 y) z))))
(fma.f64 21810887065466482153109263568915904549915271947668467379916697/10000000000000000000000000000000000000000000000000000000000000 (/.f64 y (pow.f64 z 3)) (fma.f64 -4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (/.f64 y (*.f64 z z)) (fma.f64 692910599291889/10000000000000000 y (/.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 z y)))))
(fma.f64 21810887065466482153109263568915904549915271947668467379916697/10000000000000000000000000000000000000000000000000000000000000 (/.f64 y (pow.f64 z 3)) (fma.f64 692910599291889/10000000000000000 y (*.f64 (/.f64 y z) (+.f64 (/.f64 -4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 z) 751220861604756070699018739433/10000000000000000000000000000000))))
(fma.f64 21810887065466482153109263568915904549915271947668467379916697/10000000000000000000000000000000000000000000000000000000000000 (/.f64 y (pow.f64 z 3)) (fma.f64 692910599291889/10000000000000000 y (*.f64 (/.f64 y z) (+.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 -4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 z)))))

localize25.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)
	0.3b	(fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)
✓	3.8b	(/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))
✓	18.4b	(fma.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) x)

Compiler

Compiled 56 to 38 computations (32.1% saved)

series12.0ms (0.1%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
2.0ms	y	@	0	(fma.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) x)
1.0ms	z	@	inf	(fma.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) x)
1.0ms	z	@	0	(fma.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) x)
1.0ms	z	@	-inf	(fma.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) x)
1.0ms	y	@	inf	(fma.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) x)

rewrite112.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

646×	`log-prod_binary64`
408×	`pow2_binary64`
285×	`expm1-udef_binary64`
285×	`log1p-udef_binary64`
284×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	34
1	323	34
2	3884	34

Stop Event

1×	node limit

Counts

2 → 69

Calls

Call 1

Inputs

(fma.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) x)

(/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) x)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) x)) (pow.f64 (cbrt.f64 (fma.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) x)) 2) (cbrt.f64 (fma.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) x)) (sqrt.f64 (fma.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 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simplify160.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

943×	`fma-neg_binary64`
462×	`+-commutative_binary64`
315×	`associate-l_binary64`
299×	`associate-r_binary64`
261×	`sub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	185	1608
1	587	1407
2	2131	1351
3	5445	1300

Stop Event

1×	node limit

Counts

129 → 119

Calls

Call 1

Inputs
x
(+.f64 (.f64 (+.f64 (/.f64 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))) (.f64 11167812716741/40000000000000 (/.f64 1 (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))))) y) x)
(+.f64 (.f64 (+.f64 (/.f64 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))) (.f64 11167812716741/40000000000000 (/.f64 1 (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))))) y) x)
(+.f64 (.f64 (+.f64 (/.f64 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))) (.f64 11167812716741/40000000000000 (/.f64 1 (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))))) y) x)
(.f64 (+.f64 (/.f64 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))) (.f64 11167812716741/40000000000000 (/.f64 1 (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))))) y)
(+.f64 (.f64 (+.f64 (/.f64 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))) (.f64 11167812716741/40000000000000 (/.f64 1 (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))))) y) x)
(+.f64 (.f64 (+.f64 (/.f64 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))) (.f64 11167812716741/40000000000000 (/.f64 1 (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))))) y) x)
(+.f64 (.f64 (+.f64 (/.f64 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))) (.f64 11167812716741/40000000000000 (/.f64 1 (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))))) y) x)
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x
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Outputs
x
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(+.f64 (fma.f64 (/.f64 y (pow.f64 z 3)) -6012459259764103/1000000000000000 (/.f64 y (.f64 z z))) (+.f64 (/.f64 (.f64 y -197204590491358718450349810586918541334573920727/1000000000000000000000000000000000000000000000) (pow.f64 z 5)) (fma.f64 629493927938257585512585111041/31250000000000000000000000000 (/.f64 y (pow.f64 z 5)) (/.f64 (neg.f64 (*.f64 y -32799322535300801395943207394609/1000000000000000000000000000000)) (pow.f64 z 4)))))
(+.f64 (.f64 (+.f64 (/.f64 -6012459259764103/1000000000000000 z) 1) (/.f64 y (.f64 z z))) (+.f64 (/.f64 (.f64 y -197204590491358718450349810586918541334573920727/1000000000000000000000000000000000000000000000) (pow.f64 z 5)) (fma.f64 629493927938257585512585111041/31250000000000000000000000000 (/.f64 y (pow.f64 z 5)) (/.f64 (.f64 y 32799322535300801395943207394609/1000000000000000000000000000000) (pow.f64 z 4)))))
(+.f64 (+.f64 (/.f64 y (.f64 z z)) (/.f64 y (/.f64 (pow.f64 z 5) -197204590491358718450349810586918541334573920727/1000000000000000000000000000000000000000000000))) (fma.f64 629493927938257585512585111041/31250000000000000000000000000 (/.f64 y (pow.f64 z 5)) (.f64 (/.f64 y (pow.f64 z 3)) (-.f64 -6012459259764103/1000000000000000 (/.f64 -32799322535300801395943207394609/1000000000000000000000000000000 z)))))

eval353.0ms (2.1%)

Compiler: Compiled 12510 to 8999 computations (28.1% saved)

prune376.0ms (2.2%)

Pruning

30 alts after pruning (28 fresh and 2 done)

	Pruned	Kept	Total
New	558	25	583
Fresh	11	3	14
Picked	1	0	1
Done	2	2	4
Total	572	30	602

Error

0.1b

Counts

602 → 30

Alt Table

Click to see full alt table

Status	Error	Program
	24.4b	(+.f64 x (/.f64 (.f64 y (+.f64 (.f64 (+.f64 (cbrt.f64 (.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 z 3))) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
	45.5b	(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))
	56.2b	(.f64 (+.f64 (/.f64 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))) (/.f64 (/.f64 11167812716741/40000000000000 z) z)) y)
	36.8b	(/.f64 1 (/.f64 (-.f64 (.f64 692910599291889/10000000000000000 y) x) (-.f64 (pow.f64 (.f64 692910599291889/10000000000000000 y) 2) (*.f64 x x))))
	19.0b	(+.f64 x (.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (.f64 y (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))))
	38.2b	(/.f64 1 (/.f64 (-.f64 (.f64 279195317918525/3350343815022304 y) x) (-.f64 (pow.f64 (.f64 279195317918525/3350343815022304 y) 2) (*.f64 x x))))
	39.6b	(+.f64 (pow.f64 (sqrt.f64 (*.f64 279195317918525/3350343815022304 y)) 2) x)
▶	36.8b	(.f64 (-.f64 (pow.f64 (.f64 692910599291889/10000000000000000 y) 2) (.f64 x x)) (/.f64 1 (-.f64 (.f64 692910599291889/10000000000000000 y) x)))
	39.4b	(+.f64 (pow.f64 (sqrt.f64 (*.f64 692910599291889/10000000000000000 y)) 2) x)
	17.5b	(+.f64 x (pow.f64 (*.f64 40000000000000/11167812716741 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) y)) -1))
▶	13.1b	(+.f64 (pow.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) 3) x)
	37.2b	(+.f64 x (/.f64 (.f64 y (.f64 z (.f64 692910599291889/10000000000000000 z))) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
▶	17.6b	(fma.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 11167812716741/40000000000000 x)
	47.5b	(.f64 y (+.f64 (.f64 z (+.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320))) 279195317918525/3350343815022304))
	40.9b	(/.f64 y (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)))
✓	14.4b	(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
	17.6b	(+.f64 x (.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z)))))
	32.6b	x
	47.1b	(.f64 y (+.f64 279195317918525/3350343815022304 (.f64 z -155900051080628738716045985239/56124018394291031809500087342080)))
	44.1b	(/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
	47.1b	(+.f64 (.f64 279195317918525/3350343815022304 y) (.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)))
✓	12.8b	(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
	34.2b	(fma.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (*.f64 692910599291889/10000000000000000 (pow.f64 z 2)) x)
	13.1b	(fma.f64 (pow.f64 (cbrt.f64 (.f64 692910599291889/10000000000000000 y)) 2) (cbrt.f64 (.f64 692910599291889/10000000000000000 y)) x)
▶	42.5b	(*.f64 692910599291889/10000000000000000 y)
	17.6b	(+.f64 x (/.f64 11167812716741/40000000000000 (/.f64 (fma.f64 z (+.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000) y)))
	43.9b	(*.f64 279195317918525/3350343815022304 y)
	29.7b	(+.f64 x (.f64 (/.f64 (.f64 y 11167812716741/40000000000000) (+.f64 1147673082894964476557575335949564252827623/30517578125000000000000000000000000000000 (pow.f64 (.f64 z (+.f64 z 6012459259764103/1000000000000000)) 3))) (+.f64 (pow.f64 (.f64 z (+.f64 z 6012459259764103/1000000000000000)) 2) (-.f64 10961722342634967150292985809/976562500000000000000000000 (.f64 (+.f64 z 6012459259764103/1000000000000000) (.f64 z 104698244219447/31250000000000))))))
▶	17.5b	(+.f64 x (/.f64 (.f64 y 11167812716741/40000000000000) (+.f64 (.f64 z z) 104698244219447/31250000000000)))
	29.7b	(+.f64 (cbrt.f64 (*.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000)) x)

Compiler

Compiled 908 to 691 computations (23.9% saved)

localize52.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (pow.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) 3) x)
	0.6b	(*.f64 692910599291889/10000000000000000 y)
✓	0.6b	(cbrt.f64 (*.f64 692910599291889/10000000000000000 y))
✓	0.7b	(pow.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) 3)

Compiler

Compiled 28 to 21 computations (25% saved)

series22.0ms (0.1%)

Counts

3 → 15

Calls

12 calls:

Time	Variable		Point	Expression
6.0ms	y	@	-inf	(pow.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) 3)
4.0ms	x	@	0	(+.f64 (pow.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) 3) x)
3.0ms	y	@	0	(pow.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) 3)
2.0ms	y	@	inf	(pow.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) 3)
1.0ms	y	@	0	(cbrt.f64 (*.f64 692910599291889/10000000000000000 y))

rewrite88.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

857×	`pow1_binary64`
808×	`add-log-exp_binary64`
808×	`log1p-expm1-u_binary64`
808×	`expm1-log1p-u_binary64`
790×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	199	15
2	2255	15

Stop Event

1×	node limit

Counts

3 → 85

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) 3)
(cbrt.f64 (*.f64 692910599291889/10000000000000000 y))
(+.f64 (pow.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) 3) x)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 692910599291889/10000000000000000 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 692910599291889/10000000000000000 y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y 692910599291889/10000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 692910599291889/10000000000000000 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) (cbrt.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 692910599291889/10000000000000000 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 2)) (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 2))) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y))) (cbrt.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 692910599291889/10000000000000000) (*.f64 (cbrt.f64 y) (cbrt.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) 692910599291889/10000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 1/6) (*.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 1/6) (cbrt.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) 692910599291889/10000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 692910599291889/10000000000000000 y)) (sqrt.f64 (*.f64 692910599291889/10000000000000000 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 2))) 3) (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 3) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 1/6) 3) (pow.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 692910599291889/10000000000000000 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 692910599291889/10000000000000000 (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 2)) 1) (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 2)))) (cbrt.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 2)) (cbrt.f64 692910599291889/10000000000000000)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 2)) (pow.f64 (*.f64 692910599291889/10000000000000000 y) 1/6)) (pow.f64 (*.f64 692910599291889/10000000000000000 y) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 692910599291889/10000000000000000) y))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 692910599291889/10000000000000000 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 692910599291889/10000000000000000 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 692910599291889/10000000000000000 y)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y))) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y))) (pow.f64 (cbrt.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 2))) (cbrt.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 692910599291889/10000000000000000) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 y) (cbrt.f64 692910599291889/10000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 1/6) (pow.f64 (*.f64 692910599291889/10000000000000000 y) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 2)) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 692910599291889/10000000000000000 y)) 1/3) (pow.f64 (sqrt.f64 (*.f64 692910599291889/10000000000000000 y)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 692910599291889/10000000000000000 y) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 692910599291889/10000000000000000 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 2) (-.f64 (*.f64 692910599291889/10000000000000000 y) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 692910599291889/10000000000000000 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 692910599291889/10000000000000000 y x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 692910599291889/10000000000000000 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 692910599291889/10000000000000000 y x)) (pow.f64 (cbrt.f64 (fma.f64 692910599291889/10000000000000000 y x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 692910599291889/10000000000000000 y x)) 2) (cbrt.f64 (fma.f64 692910599291889/10000000000000000 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 692910599291889/10000000000000000 y x)) (sqrt.f64 (fma.f64 692910599291889/10000000000000000 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 2) (*.f64 x (-.f64 x (*.f64 692910599291889/10000000000000000 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 2) (*.f64 x x)) (/.f64 1 (-.f64 (*.f64 692910599291889/10000000000000000 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 2) (*.f64 x (-.f64 x (*.f64 692910599291889/10000000000000000 y)))) (+.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 3) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 692910599291889/10000000000000000 y) x) (-.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 2) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 2) (*.f64 x (-.f64 x (*.f64 692910599291889/10000000000000000 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 3) (pow.f64 x 3)) (+.f64 (*.f64 x x) (-.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 2) (*.f64 692910599291889/10000000000000000 (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 2) (*.f64 x x)) (-.f64 (*.f64 692910599291889/10000000000000000 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 2) (*.f64 x (-.f64 x (*.f64 692910599291889/10000000000000000 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 2) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 692910599291889/10000000000000000 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 692910599291889/10000000000000000 y) 2)) (-.f64 x (*.f64 692910599291889/10000000000000000 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 692910599291889/10000000000000000 y x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 692910599291889/10000000000000000 y x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 692910599291889/10000000000000000 y x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 692910599291889/10000000000000000 y x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 692910599291889/10000000000000000 y x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 692910599291889/10000000000000000 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 692910599291889/10000000000000000 y x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 692910599291889/10000000000000000 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 692910599291889/10000000000000000 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 692910599291889/10000000000000000 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 692910599291889/10000000000000000 y x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y 692910599291889/10000000000000000 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) (cbrt.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 2)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 692910599291889/10000000000000000 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 692910599291889/10000000000000000 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 2)) (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 692910599291889/10000000000000000 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 692910599291889/10000000000000000 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 692910599291889/10000000000000000 y)) (sqrt.f64 (*.f64 692910599291889/10000000000000000 y)) x)))))

simplify1.9s (10.9%)

Algorithm

1×	egg-herbie

Rules

1992×	`sqr-pow_binary64`
1991×	`pow-base-1_binary64`
5×	`fma-def_binary64`
3×	`*-commutative_binary64`
2×	`associate-r_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	72
1	26	54
2	40	54
3	46	54
4	50	54
5	54	54
6	58	54
7	62	54
8	66	54
9	70	54
10	74	54
11	78	54
12	82	54
13	86	54
14	90	54
15	94	54
16	98	54
17	102	54
18	106	54
19	110	54
20	114	54
21	118	54
22	122	54
23	126	54
24	130	54
25	134	54
26	138	54
27	142	54
28	146	54
29	150	54
30	154	54
31	158	54
32	162	54
33	166	54
34	170	54
35	174	54
36	178	54
37	182	54
38	186	54
39	190	54
40	194	54
41	198	54
42	202	54
43	206	54
44	210	54
45	214	54
46	218	54
47	222	54
48	226	54
49	230	54
50	234	54
51	238	54
52	242	54
53	246	54
54	250	54
55	254	54
56	258	54
57	262	54
58	266	54
59	270	54
60	274	54
61	278	54
62	282	54
63	286	54
64	290	54
65	294	54
66	298	54
67	302	54
68	306	54
69	310	54
70	314	54
71	318	54
72	322	54
73	326	54
74	330	54
75	334	54
76	338	54
77	342	54
78	346	54
79	350	54
80	354	54
81	358	54
82	362	54
83	366	54
84	370	54
85	374	54
86	378	54
87	382	54
88	386	54
89	390	54
90	394	54
91	398	54
92	402	54
93	406	54
94	410	54
95	414	54
96	418	54
97	422	54
98	426	54
99	430	54
100	434	54
101	438	54
102	442	54
103	446	54
104	450	54
105	454	54
106	458	54
107	462	54
108	466	54
109	470	54
110	474	54
111	478	54
112	482	54
113	486	54
114	490	54
115	494	54
116	498	54
117	502	54
118	506	54
119	510	54
120	514	54
121	518	54
122	522	54
123	526	54
124	530	54
125	534	54
126	538	54
127	542	54
128	546	54
129	550	54
130	554	54
131	558	54
132	562	54
133	566	54
134	570	54
135	574	54
136	578	54
137	582	54
138	586	54
139	590	54
140	594	54
141	598	54
142	602	54
143	606	54
144	610	54
145	614	54
146	618	54
147	622	54
148	626	54
149	630	54
150	634	54
151	638	54
152	642	54
153	646	54
154	650	54
155	654	54
156	658	54
157	662	54
158	666	54
159	670	54
160	674	54
161	678	54
162	682	54
163	686	54
164	690	54
165	694	54
166	698	54
167	702	54
168	706	54
169	710	54
170	714	54
171	718	54
172	722	54
173	726	54
174	730	54
175	734	54
176	738	54
177	742	54
178	746	54
179	750	54
180	754	54
181	758	54
182	762	54
183	766	54
184	770	54
185	774	54
186	778	54
187	782	54
188	786	54
189	790	54
190	794	54
191	798	54
192	802	54
193	806	54
194	810	54
195	814	54
196	818	54
197	822	54
198	826	54
199	830	54
200	834	54
201	838	54
202	842	54
203	846	54
204	850	54
205	854	54
206	858	54
207	862	54
208	866	54
209	870	54
210	874	54
211	878	54
212	882	54
213	886	54
214	890	54
215	894	54
216	898	54
217	902	54
218	906	54
219	910	54
220	914	54
221	918	54
222	922	54
223	926	54
224	930	54
225	934	54
226	938	54
227	942	54
228	946	54
229	950	54
230	954	54
231	958	54
232	962	54
233	966	54
234	970	54
235	974	54
236	978	54
237	982	54
238	986	54
239	990	54
240	994	54
241	998	54
242	1002	54
243	1006	54
244	1010	54
245	1014	54
246	1018	54
247	1022	54
248	1026	54
249	1030	54
250	1034	54
251	1038	54
252	1042	54
253	1046	54
254	1050	54
255	1054	54
256	1058	54
257	1062	54
258	1066	54
259	1070	54
260	1074	54
261	1078	54
262	1082	54
263	1086	54
264	1090	54
265	1094	54
266	1098	54
267	1102	54
268	1106	54
269	1110	54
270	1114	54
271	1118	54
272	1122	54
273	1126	54
274	1130	54
275	1134	54
276	1138	54
277	1142	54
278	1146	54
279	1150	54
280	1154	54
281	1158	54
282	1162	54
283	1166	54
284	1170	54
285	1174	54
286	1178	54
287	1182	54
288	1186	54
289	1190	54
290	1194	54
291	1198	54
292	1202	54
293	1206	54
294	1210	54
295	1214	54
296	1218	54
297	1222	54
298	1226	54
299	1230	54
300	1234	54
301	1238	54
302	1242	54
303	1246	54
304	1250	54
305	1254	54
306	1258	54
307	1262	54
308	1266	54
309	1270	54
310	1274	54
311	1278	54
312	1282	54
313	1286	54
314	1290	54
315	1294	54
316	1298	54
317	1302	54
318	1306	54
319	1310	54
320	1314	54
321	1318	54
322	1322	54
323	1326	54
324	1330	54
325	1334	54
326	1338	54
327	1342	54
328	1346	54
329	1350	54
330	1354	54
331	1358	54
332	1362	54
333	1366	54
334	1370	54
335	1374	54
336	1378	54
337	1382	54
338	1386	54
339	1390	54
340	1394	54
341	1398	54
342	1402	54
343	1406	54
344	1410	54
345	1414	54
346	1418	54
347	1422	54
348	1426	54
349	1430	54
350	1434	54
351	1438	54
352	1442	54
353	1446	54
354	1450	54
355	1454	54
356	1458	54
357	1462	54
358	1466	54
359	1470	54
360	1474	54
361	1478	54
362	1482	54
363	1486	54
364	1490	54
365	1494	54
366	1498	54
367	1502	54
368	1506	54
369	1510	54
370	1514	54
371	1518	54
372	1522	54
373	1526	54
374	1530	54
375	1534	54
376	1538	54
377	1542	54
378	1546	54
379	1550	54
380	1554	54
381	1558	54
382	1562	54
383	1566	54
384	1570	54
385	1574	54
386	1578	54
387	1582	54
388	1586	54
389	1590	54
390	1594	54
391	1598	54
392	1602	54
393	1606	54
394	1610	54
395	1614	54
396	1618	54
397	1622	54
398	1626	54
399	1630	54
400	1634	54
401	1638	54
402	1642	54
403	1646	54
404	1650	54
405	1654	54
406	1658	54
407	1662	54
408	1666	54
409	1670	54
410	1674	54
411	1678	54
412	1682	54
413	1686	54
414	1690	54
415	1694	54
416	1698	54
417	1702	54
418	1706	54
419	1710	54
420	1714	54
421	1718	54
422	1722	54
423	1726	54
424	1730	54
425	1734	54
426	1738	54
427	1742	54
428	1746	54
429	1750	54
430	1754	54
431	1758	54
432	1762	54
433	1766	54
434	1770	54
435	1774	54
436	1778	54
437	1782	54
438	1786	54
439	1790	54
440	1794	54
441	1798	54
442	1802	54
443	1806	54
444	1810	54
445	1814	54
446	1818	54
447	1822	54
448	1826	54
449	1830	54
450	1834	54
451	1838	54
452	1842	54
453	1846	54
454	1850	54
455	1854	54
456	1858	54
457	1862	54
458	1866	54
459	1870	54
460	1874	54
461	1878	54
462	1882	54
463	1886	54
464	1890	54
465	1894	54
466	1898	54
467	1902	54
468	1906	54
469	1910	54
470	1914	54
471	1918	54
472	1922	54
473	1926	54
474	1930	54
475	1934	54
476	1938	54
477	1942	54
478	1946	54
479	1950	54
480	1954	54
481	1958	54
482	1962	54
483	1966	54
484	1970	54
485	1974	54
486	1978	54
487	1982	54
488	1986	54
489	1990	54
490	1994	54
491	1998	54
492	2002	54
493	2006	54
494	2010	54
495	2014	54
496	2018	54
497	2022	54
498	2026	54
499	2030	54
500	2034	54
501	2038	54
502	2042	54
503	2046	54
504	2050	54
505	2054	54
506	2058	54
507	2062	54
508	2066	54
509	2070	54
510	2074	54
511	2078	54
512	2082	54
513	2086	54
514	2090	54
515	2094	54
516	2098	54
517	2102	54
518	2106	54
519	2110	54
520	2114	54
521	2118	54
522	2122	54
523	2126	54
524	2130	54
525	2134	54
526	2138	54
527	2142	54
528	2146	54
529	2150	54
530	2154	54
531	2158	54
532	2162	54
533	2166	54
534	2170	54
535	2174	54
536	2178	54
537	2182	54
538	2186	54
539	2190	54
540	2194	54
541	2198	54
542	2202	54
543	2206	54
544	2210	54
545	2214	54
546	2218	54
547	2222	54
548	2226	54
549	2230	54
550	2234	54
551	2238	54
552	2242	54
553	2246	54
554	2250	54
555	2254	54
556	2258	54
557	2262	54
558	2266	54
559	2270	54
560	2274	54
561	2278	54
562	2282	54
563	2286	54
564	2290	54
565	2294	54
566	2298	54
567	2302	54
568	2306	54
569	2310	54
570	2314	54
571	2318	54
572	2322	54
573	2326	54
574	2330	54
575	2334	54
576	2338	54
577	2342	54
578	2346	54
579	2350	54
580	2354	54
581	2358	54
582	2362	54
583	2366	54
584	2370	54
585	2374	54
586	2378	54
587	2382	54
588	2386	54
589	2390	54
590	2394	54
591	2398	54
592	2402	54
593	2406	54
594	2410	54
595	2414	54
596	2418	54
597	2422	54
598	2426	54
599	2430	54
600	2434	54
601	2438	54
602	2442	54
603	2446	54
604	2450	54
605	2454	54
606	2458	54
607	2462	54
608	2466	54
609	2470	54
610	2474	54
611	2478	54
612	2482	54
613	2486	54
614	2490	54
615	2494	54
616	2498	54
617	2502	54
618	2506	54
619	2510	54
620	2514	54
621	2518	54
622	2522	54
623	2526	54
624	2530	54
625	2534	54
626	2538	54
627	2542	54
628	2546	54
629	2550	54
630	2554	54
631	2558	54
632	2562	54
633	2566	54
634	2570	54
635	2574	54
636	2578	54
637	2582	54
638	2586	54
639	2590	54
640	2594	54
641	2598	54
642	2602	54
643	2606	54
644	2610	54
645	2614	54
646	2618	54
647	2622	54
648	2626	54
649	2630	54
650	2634	54
651	2638	54
652	2642	54
653	2646	54
654	2650	54
655	2654	54
656	2658	54
657	2662	54
658	2666	54
659	2670	54
660	2674	54
661	2678	54
662	2682	54
663	2686	54
664	2690	54
665	2694	54
666	2698	54
667	2702	54
668	2706	54
669	2710	54
670	2714	54
671	2718	54
672	2722	54
673	2726	54
674	2730	54
675	2734	54
676	2738	54
677	2742	54
678	2746	54
679	2750	54
680	2754	54
681	2758	54
682	2762	54
683	2766	54
684	2770	54
685	2774	54
686	2778	54
687	2782	54
688	2786	54
689	2790	54
690	2794	54
691	2798	54
692	2802	54
693	2806	54
694	2810	54
695	2814	54
696	2818	54
697	2822	54
698	2826	54
699	2830	54
700	2834	54
701	2838	54
702	2842	54
703	2846	54
704	2850	54
705	2854	54
706	2858	54
707	2862	54
708	2866	54
709	2870	54
710	2874	54
711	2878	54
712	2882	54
713	2886	54
714	2890	54
715	2894	54
716	2898	54
717	2902	54
718	2906	54
719	2910	54
720	2914	54
721	2918	54
722	2922	54
723	2926	54
724	2930	54
725	2934	54
726	2938	54
727	2942	54
728	2946	54
729	2950	54
730	2954	54
731	2958	54
732	2962	54
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1660	6674	54
1661	6678	54
1662	6682	54
1663	6686	54
1664	6690	54
1665	6694	54
1666	6698	54
1667	6702	54
1668	6706	54
1669	6710	54
1670	6714	54
1671	6718	54
1672	6722	54
1673	6726	54
1674	6730	54
1675	6734	54
1676	6738	54
1677	6742	54
1678	6746	54
1679	6750	54
1680	6754	54
1681	6758	54
1682	6762	54
1683	6766	54
1684	6770	54
1685	6774	54
1686	6778	54
1687	6782	54
1688	6786	54
1689	6790	54
1690	6794	54
1691	6798	54
1692	6802	54
1693	6806	54
1694	6810	54
1695	6814	54
1696	6818	54
1697	6822	54
1698	6826	54
1699	6830	54
1700	6834	54
1701	6838	54
1702	6842	54
1703	6846	54
1704	6850	54
1705	6854	54
1706	6858	54
1707	6862	54
1708	6866	54
1709	6870	54
1710	6874	54
1711	6878	54
1712	6882	54
1713	6886	54
1714	6890	54
1715	6894	54
1716	6898	54
1717	6902	54
1718	6906	54
1719	6910	54
1720	6914	54
1721	6918	54
1722	6922	54
1723	6926	54
1724	6930	54
1725	6934	54
1726	6938	54
1727	6942	54
1728	6946	54
1729	6950	54
1730	6954	54
1731	6958	54
1732	6962	54
1733	6966	54
1734	6970	54
1735	6974	54
1736	6978	54
1737	6982	54
1738	6986	54
1739	6990	54
1740	6994	54
1741	6998	54
1742	7002	54
1743	7006	54
1744	7010	54
1745	7014	54
1746	7018	54
1747	7022	54
1748	7026	54
1749	7030	54
1750	7034	54
1751	7038	54
1752	7042	54
1753	7046	54
1754	7050	54
1755	7054	54
1756	7058	54
1757	7062	54
1758	7066	54
1759	7070	54
1760	7074	54
1761	7078	54
1762	7082	54
1763	7086	54
1764	7090	54
1765	7094	54
1766	7098	54
1767	7102	54
1768	7106	54
1769	7110	54
1770	7114	54
1771	7118	54
1772	7122	54
1773	7126	54
1774	7130	54
1775	7134	54
1776	7138	54
1777	7142	54
1778	7146	54
1779	7150	54
1780	7154	54
1781	7158	54
1782	7162	54
1783	7166	54
1784	7170	54
1785	7174	54
1786	7178	54
1787	7182	54
1788	7186	54
1789	7190	54
1790	7194	54
1791	7198	54
1792	7202	54
1793	7206	54
1794	7210	54
1795	7214	54
1796	7218	54
1797	7222	54
1798	7226	54
1799	7230	54
1800	7234	54
1801	7238	54
1802	7242	54
1803	7246	54
1804	7250	54
1805	7254	54
1806	7258	54
1807	7262	54
1808	7266	54
1809	7270	54
1810	7274	54
1811	7278	54
1812	7282	54
1813	7286	54
1814	7290	54
1815	7294	54
1816	7298	54
1817	7302	54
1818	7306	54
1819	7310	54
1820	7314	54
1821	7318	54
1822	7322	54
1823	7326	54
1824	7330	54
1825	7334	54
1826	7338	54
1827	7342	54
1828	7346	54
1829	7350	54
1830	7354	54
1831	7358	54
1832	7362	54
1833	7366	54
1834	7370	54
1835	7374	54
1836	7378	54
1837	7382	54
1838	7386	54
1839	7390	54
1840	7394	54
1841	7398	54
1842	7402	54
1843	7406	54
1844	7410	54
1845	7414	54
1846	7418	54
1847	7422	54
1848	7426	54
1849	7430	54
1850	7434	54
1851	7438	54
1852	7442	54
1853	7446	54
1854	7450	54
1855	7454	54
1856	7458	54
1857	7462	54
1858	7466	54
1859	7470	54
1860	7474	54
1861	7478	54
1862	7482	54
1863	7486	54
1864	7490	54
1865	7494	54
1866	7498	54
1867	7502	54
1868	7506	54
1869	7510	54
1870	7514	54
1871	7518	54
1872	7522	54
1873	7526	54
1874	7530	54
1875	7534	54
1876	7538	54
1877	7542	54
1878	7546	54
1879	7550	54
1880	7554	54
1881	7558	54
1882	7562	54
1883	7566	54
1884	7570	54
1885	7574	54
1886	7578	54
1887	7582	54
1888	7586	54
1889	7590	54
1890	7594	54
1891	7598	54
1892	7602	54
1893	7606	54
1894	7610	54
1895	7614	54
1896	7618	54
1897	7622	54
1898	7626	54
1899	7630	54
1900	7634	54
1901	7638	54
1902	7642	54
1903	7646	54
1904	7650	54
1905	7654	54
1906	7658	54
1907	7662	54
1908	7666	54
1909	7670	54
1910	7674	54
1911	7678	54
1912	7682	54
1913	7686	54
1914	7690	54
1915	7694	54
1916	7698	54
1917	7702	54
1918	7706	54
1919	7710	54
1920	7714	54
1921	7718	54
1922	7722	54
1923	7726	54
1924	7730	54
1925	7734	54
1926	7738	54
1927	7742	54
1928	7746	54
1929	7750	54
1930	7754	54
1931	7758	54
1932	7762	54
1933	7766	54
1934	7770	54
1935	7774	54
1936	7778	54
1937	7782	54
1938	7786	54
1939	7790	54
1940	7794	54
1941	7798	54
1942	7802	54
1943	7806	54
1944	7810	54
1945	7814	54
1946	7818	54
1947	7822	54
1948	7826	54
1949	7830	54
1950	7834	54
1951	7838	54
1952	7842	54
1953	7846	54
1954	7850	54
1955	7854	54
1956	7858	54
1957	7862	54
1958	7866	54
1959	7870	54
1960	7874	54
1961	7878	54
1962	7882	54
1963	7886	54
1964	7890	54
1965	7894	54
1966	7898	54
1967	7902	54
1968	7906	54
1969	7910	54
1970	7914	54
1971	7918	54
1972	7922	54
1973	7926	54
1974	7930	54
1975	7934	54
1976	7938	54
1977	7942	54
1978	7946	54
1979	7950	54
1980	7954	54
1981	7958	54
1982	7962	54
1983	7966	54
1984	7970	54
1985	7974	54
1986	7978	54
1987	7982	54
1988	7986	54
1989	7990	54
1990	7994	54
1991	7998	54

Stop Event

1×	node limit

Counts

100 → 88

Calls

Call 1

Inputs
x
x
x
(.f64 692910599291889/10000000000000000 (.f64 (pow.f64 1 1/3) y))
(+.f64 (.f64 692910599291889/10000000000000000 (.f64 (pow.f64 1 1/3) y)) x)
(+.f64 (.f64 692910599291889/10000000000000000 (.f64 (pow.f64 1 1/3) y)) x)
(+.f64 (.f64 692910599291889/10000000000000000 (.f64 (pow.f64 1 1/3) y)) x)
x
(+.f64 (.f64 692910599291889/10000000000000000 (.f64 (pow.f64 1 1/3) y)) x)
(+.f64 (.f64 692910599291889/10000000000000000 (.f64 (pow.f64 1 1/3) y)) x)
(+.f64 (.f64 692910599291889/10000000000000000 (.f64 (pow.f64 1 1/3) y)) x)
x
(+.f64 (.f64 692910599291889/10000000000000000 (.f64 (pow.f64 1 1/3) y)) x)
(+.f64 (.f64 692910599291889/10000000000000000 (.f64 (pow.f64 1 1/3) y)) x)
(+.f64 (.f64 692910599291889/10000000000000000 (.f64 (pow.f64 1 1/3) y)) x)

Outputs
x
x
x
(.f64 692910599291889/10000000000000000 (.f64 (pow.f64 1 1/3) y))
(*.f64 692910599291889/10000000000000000 y)
(+.f64 (.f64 692910599291889/10000000000000000 (.f64 (pow.f64 1 1/3) y)) x)
(+.f64 x (*.f64 692910599291889/10000000000000000 y))
(fma.f64 692910599291889/10000000000000000 y x)
(+.f64 (.f64 692910599291889/10000000000000000 (.f64 (pow.f64 1 1/3) y)) x)
(+.f64 x (*.f64 692910599291889/10000000000000000 y))
(fma.f64 692910599291889/10000000000000000 y x)
(+.f64 (.f64 692910599291889/10000000000000000 (.f64 (pow.f64 1 1/3) y)) x)
(+.f64 x (*.f64 692910599291889/10000000000000000 y))
(fma.f64 692910599291889/10000000000000000 y x)
x
(+.f64 (.f64 692910599291889/10000000000000000 (.f64 (pow.f64 1 1/3) y)) x)
(+.f64 x (*.f64 692910599291889/10000000000000000 y))
(fma.f64 692910599291889/10000000000000000 y x)
(+.f64 (.f64 692910599291889/10000000000000000 (.f64 (pow.f64 1 1/3) y)) x)
(+.f64 x (*.f64 692910599291889/10000000000000000 y))
(fma.f64 692910599291889/10000000000000000 y x)
(+.f64 (.f64 692910599291889/10000000000000000 (.f64 (pow.f64 1 1/3) y)) x)
(+.f64 x (*.f64 692910599291889/10000000000000000 y))
(fma.f64 692910599291889/10000000000000000 y x)
x
(+.f64 (.f64 692910599291889/10000000000000000 (.f64 (pow.f64 1 1/3) y)) x)
(+.f64 x (*.f64 692910599291889/10000000000000000 y))
(fma.f64 692910599291889/10000000000000000 y x)
(+.f64 (.f64 692910599291889/10000000000000000 (.f64 (pow.f64 1 1/3) y)) x)
(+.f64 x (*.f64 692910599291889/10000000000000000 y))
(fma.f64 692910599291889/10000000000000000 y x)
(+.f64 (.f64 692910599291889/10000000000000000 (.f64 (pow.f64 1 1/3) y)) x)
(+.f64 x (*.f64 692910599291889/10000000000000000 y))
(fma.f64 692910599291889/10000000000000000 y x)

localize4.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.6b	(*.f64 692910599291889/10000000000000000 y)

Compiler

Compiled 8 to 6 computations (25% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (/.f64 (.f64 y 11167812716741/40000000000000) (+.f64 (.f64 z z) 104698244219447/31250000000000)))
✓	0.0b	(+.f64 (*.f64 z z) 104698244219447/31250000000000)
	0.6b	(*.f64 y 11167812716741/40000000000000)
✓	3.8b	(/.f64 (.f64 y 11167812716741/40000000000000) (+.f64 (.f64 z z) 104698244219447/31250000000000))

Compiler

Compiled 39 to 21 computations (46.2% saved)

series10.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(+.f64 x (/.f64 (.f64 y 11167812716741/40000000000000) (+.f64 (.f64 z z) 104698244219447/31250000000000)))
1.0ms	y	@	0	(/.f64 (.f64 y 11167812716741/40000000000000) (+.f64 (.f64 z z) 104698244219447/31250000000000))
1.0ms	z	@	inf	(/.f64 (.f64 y 11167812716741/40000000000000) (+.f64 (.f64 z z) 104698244219447/31250000000000))
1.0ms	y	@	inf	(/.f64 (.f64 y 11167812716741/40000000000000) (+.f64 (.f64 z z) 104698244219447/31250000000000))
1.0ms	z	@	0	(/.f64 (.f64 y 11167812716741/40000000000000) (+.f64 (.f64 z z) 104698244219447/31250000000000))

rewrite107.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

890×	`prod-diff_binary64`
585×	`log-prod_binary64`
282×	`fma-def_binary64`
223×	`expm1-udef_binary64`
223×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	30
1	249	30
2	3461	28

Stop Event

1×	node limit

Counts

3 → 159

Calls

Call 1

Inputs

(/.f64 (*.f64 y 11167812716741/40000000000000) (+.f64 (*.f64 z z) 104698244219447/31250000000000))

(+.f64 (*.f64 z z) 104698244219447/31250000000000)

(+.f64 x (/.f64 (*.f64 y 11167812716741/40000000000000) (+.f64 (*.f64 z z) 104698244219447/31250000000000)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z z 104698244219447/31250000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z z 104698244219447/31250000000000))))) (cbrt.f64 (exp.f64 (*.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z z 104698244219447/31250000000000))))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z z 104698244219447/31250000000000)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z z 104698244219447/31250000000000)))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z z 104698244219447/31250000000000)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z z 104698244219447/31250000000000))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 1 (*.f64 (fma.f64 z z 104698244219447/31250000000000) 40000000000000/11167812716741)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (*.f64 11167812716741/40000000000000 (/.f64 1 (fma.f64 z z 104698244219447/31250000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z z 104698244219447/31250000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 11167812716741/40000000000000 (*.f64 y (/.f64 1 (fma.f64 z z 104698244219447/31250000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 11167812716741/40000000000000) (/.f64 1 (fma.f64 z z 104698244219447/31250000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z z 104698244219447/31250000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z z 104698244219447/31250000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z z 104698244219447/31250000000000)))) (pow.f64 (cbrt.f64 (*.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z z 104698244219447/31250000000000)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z z 104698244219447/31250000000000)))) 2) (cbrt.f64 (*.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z z 104698244219447/31250000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 y 11167812716741/40000000000000)) 2) (*.f64 (cbrt.f64 (*.f64 y 11167812716741/40000000000000)) (/.f64 1 (fma.f64 z z 104698244219447/31250000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z z 104698244219447/31250000000000)))) (sqrt.f64 (*.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z z 104698244219447/31250000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y 11167812716741/40000000000000)) (*.f64 (sqrt.f64 (*.f64 y 11167812716741/40000000000000)) (/.f64 1 (fma.f64 z z 104698244219447/31250000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y -11167812716741/40000000000000) (/.f64 1 (neg.f64 (fma.f64 z z 104698244219447/31250000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 z z 104698244219447/31250000000000)) (*.f64 y 11167812716741/40000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y 1) (/.f64 11167812716741/40000000000000 (fma.f64 z z 104698244219447/31250000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (fma.f64 z z 104698244219447/31250000000000)) 11167812716741/40000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y 11167812716741/40000000000000)) 2) 1) (/.f64 (cbrt.f64 (*.f64 y 11167812716741/40000000000000)) (fma.f64 z z 104698244219447/31250000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 y 11167812716741/40000000000000)) 1) (/.f64 (sqrt.f64 (*.f64 y 11167812716741/40000000000000)) (fma.f64 z z 104698244219447/31250000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (pow.f64 (cbrt.f64 (fma.f64 z z 104698244219447/31250000000000)) 2)) (/.f64 11167812716741/40000000000000 (cbrt.f64 (fma.f64 z z 104698244219447/31250000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 11167812716741/40000000000000 (pow.f64 (cbrt.f64 (fma.f64 z z 104698244219447/31250000000000)) 2)) (/.f64 y (cbrt.f64 (fma.f64 z z 104698244219447/31250000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 z z 104698244219447/31250000000000)) 2)) (/.f64 (*.f64 y 11167812716741/40000000000000) (cbrt.f64 (fma.f64 z z 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simplify113.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

600×	`distribute-lft-out_binary64`
587×	`associate-/r/_binary64`
542×	`distribute-rgt-out_binary64`
438×	`associate-l_binary64`
413×	`unswap-sqr_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	60	1006
1	156	922
2	404	913
3	1277	907
4	4662	903

Stop Event

1×	node limit

Counts

231 → 198

Calls

Call 1

Inputs
(*.f64 11167812716741/40000000000000 (/.f64 y (+.f64 (pow.f64 z 2) 104698244219447/31250000000000)))
(*.f64 11167812716741/40000000000000 (/.f64 y (+.f64 (pow.f64 z 2) 104698244219447/31250000000000)))
(*.f64 11167812716741/40000000000000 (/.f64 y (+.f64 (pow.f64 z 2) 104698244219447/31250000000000)))
(*.f64 11167812716741/40000000000000 (/.f64 y (+.f64 (pow.f64 z 2) 104698244219447/31250000000000)))
(*.f64 11167812716741/40000000000000 (/.f64 y (+.f64 (pow.f64 z 2) 104698244219447/31250000000000)))
(*.f64 11167812716741/40000000000000 (/.f64 y (+.f64 (pow.f64 z 2) 104698244219447/31250000000000)))
(*.f64 11167812716741/40000000000000 (/.f64 y (+.f64 (pow.f64 z 2) 104698244219447/31250000000000)))
(*.f64 11167812716741/40000000000000 (/.f64 y (+.f64 (pow.f64 z 2) 104698244219447/31250000000000)))
(*.f64 11167812716741/40000000000000 (/.f64 y (+.f64 (pow.f64 z 2) 104698244219447/31250000000000)))
(*.f64 11167812716741/40000000000000 (/.f64 y (+.f64 (pow.f64 z 2) 104698244219447/31250000000000)))
(*.f64 11167812716741/40000000000000 (/.f64 y (+.f64 (pow.f64 z 2) 104698244219447/31250000000000)))
(*.f64 11167812716741/40000000000000 (/.f64 y (+.f64 (pow.f64 z 2) 104698244219447/31250000000000)))
(*.f64 279195317918525/3350343815022304 y)
(+.f64 (.f64 -272651677654809570312500000/10961722342634967150292985809 (.f64 y (pow.f64 z 2))) (*.f64 279195317918525/3350343815022304 y))
(+.f64 (.f64 -272651677654809570312500000/10961722342634967150292985809 (.f64 y (pow.f64 z 2))) (+.f64 (.f64 279195317918525/3350343815022304 y) (.f64 8520364926712799072265625000000000000000/1147673082894964476557575335949564252827623 (*.f64 y (pow.f64 z 4)))))
(+.f64 (.f64 -272651677654809570312500000/10961722342634967150292985809 (.f64 y (pow.f64 z 2))) (+.f64 (.f64 -266261403959774971008300781250000000000000000000000000/120159356717022632160008572058759684584348189384275384481 (.f64 y (pow.f64 z 6))) (+.f64 (.f64 279195317918525/3350343815022304 y) (.f64 8520364926712799072265625000000000000000/1147673082894964476557575335949564252827623 (*.f64 y (pow.f64 z 4))))))
(*.f64 11167812716741/40000000000000 (/.f64 y (pow.f64 z 2)))
(+.f64 (.f64 11167812716741/40000000000000 (/.f64 y (pow.f64 z 2))) (.f64 -1169250383214395100054662227/1250000000000000000000000000 (/.f64 y (pow.f64 z 4))))
(+.f64 (.f64 122418462175462731343176800701724849728469/39062500000000000000000000000000000000000 (/.f64 y (pow.f64 z 6))) (+.f64 (.f64 11167812716741/40000000000000 (/.f64 y (pow.f64 z 2))) (*.f64 -1169250383214395100054662227/1250000000000000000000000000 (/.f64 y (pow.f64 z 4)))))
(+.f64 (.f64 -12816998049815732128093142420074678921325994206799336643/1220703125000000000000000000000000000000000000000000000 (/.f64 y (pow.f64 z 8))) (+.f64 (.f64 122418462175462731343176800701724849728469/39062500000000000000000000000000000000000 (/.f64 y (pow.f64 z 6))) (+.f64 (.f64 11167812716741/40000000000000 (/.f64 y (pow.f64 z 2))) (.f64 -1169250383214395100054662227/1250000000000000000000000000 (/.f64 y (pow.f64 z 4))))))
(*.f64 11167812716741/40000000000000 (/.f64 y (pow.f64 z 2)))
(+.f64 (.f64 11167812716741/40000000000000 (/.f64 y (pow.f64 z 2))) (.f64 -1169250383214395100054662227/1250000000000000000000000000 (/.f64 y (pow.f64 z 4))))
(+.f64 (.f64 122418462175462731343176800701724849728469/39062500000000000000000000000000000000000 (/.f64 y (pow.f64 z 6))) (+.f64 (.f64 11167812716741/40000000000000 (/.f64 y (pow.f64 z 2))) (*.f64 -1169250383214395100054662227/1250000000000000000000000000 (/.f64 y (pow.f64 z 4)))))
(+.f64 (.f64 -12816998049815732128093142420074678921325994206799336643/1220703125000000000000000000000000000000000000000000000 (/.f64 y (pow.f64 z 8))) (+.f64 (.f64 122418462175462731343176800701724849728469/39062500000000000000000000000000000000000 (/.f64 y (pow.f64 z 6))) (+.f64 (.f64 11167812716741/40000000000000 (/.f64 y (pow.f64 z 2))) (.f64 -1169250383214395100054662227/1250000000000000000000000000 (/.f64 y (pow.f64 z 4))))))
104698244219447/31250000000000
(+.f64 (pow.f64 z 2) 104698244219447/31250000000000)
(+.f64 (pow.f64 z 2) 104698244219447/31250000000000)
(+.f64 (pow.f64 z 2) 104698244219447/31250000000000)
(pow.f64 z 2)
(+.f64 (pow.f64 z 2) 104698244219447/31250000000000)
(+.f64 (pow.f64 z 2) 104698244219447/31250000000000)
(+.f64 (pow.f64 z 2) 104698244219447/31250000000000)
(pow.f64 z 2)
(+.f64 (pow.f64 z 2) 104698244219447/31250000000000)
(+.f64 (pow.f64 z 2) 104698244219447/31250000000000)
(+.f64 (pow.f64 z 2) 104698244219447/31250000000000)
(*.f64 11167812716741/40000000000000 (/.f64 y (+.f64 (pow.f64 z 2) 104698244219447/31250000000000)))
(+.f64 x (*.f64 11167812716741/40000000000000 (/.f64 y (+.f64 (pow.f64 z 2) 104698244219447/31250000000000))))
(+.f64 x (*.f64 11167812716741/40000000000000 (/.f64 y (+.f64 (pow.f64 z 2) 104698244219447/31250000000000))))
(+.f64 x (*.f64 11167812716741/40000000000000 (/.f64 y (+.f64 (pow.f64 z 2) 104698244219447/31250000000000))))
x
(+.f64 (*.f64 11167812716741/40000000000000 (/.f64 y (+.f64 (pow.f64 z 2) 104698244219447/31250000000000))) x)
(+.f64 (*.f64 11167812716741/40000000000000 (/.f64 y (+.f64 (pow.f64 z 2) 104698244219447/31250000000000))) x)
(+.f64 (*.f64 11167812716741/40000000000000 (/.f64 y (+.f64 (pow.f64 z 2) 104698244219447/31250000000000))) x)
x
(+.f64 (*.f64 11167812716741/40000000000000 (/.f64 y (+.f64 (pow.f64 z 2) 104698244219447/31250000000000))) x)
(+.f64 (*.f64 11167812716741/40000000000000 (/.f64 y (+.f64 (pow.f64 z 2) 104698244219447/31250000000000))) x)
(+.f64 (*.f64 11167812716741/40000000000000 (/.f64 y (+.f64 (pow.f64 z 2) 104698244219447/31250000000000))) x)
x
(+.f64 (*.f64 11167812716741/40000000000000 (/.f64 y (+.f64 (pow.f64 z 2) 104698244219447/31250000000000))) x)
(+.f64 (*.f64 11167812716741/40000000000000 (/.f64 y (+.f64 (pow.f64 z 2) 104698244219447/31250000000000))) x)
(+.f64 (*.f64 11167812716741/40000000000000 (/.f64 y (+.f64 (pow.f64 z 2) 104698244219447/31250000000000))) x)
(*.f64 11167812716741/40000000000000 (/.f64 y (+.f64 (pow.f64 z 2) 104698244219447/31250000000000)))
(+.f64 x (*.f64 11167812716741/40000000000000 (/.f64 y (+.f64 (pow.f64 z 2) 104698244219447/31250000000000))))
(+.f64 x (*.f64 11167812716741/40000000000000 (/.f64 y (+.f64 (pow.f64 z 2) 104698244219447/31250000000000))))
(+.f64 x (*.f64 11167812716741/40000000000000 (/.f64 y (+.f64 (pow.f64 z 2) 104698244219447/31250000000000))))
(*.f64 11167812716741/40000000000000 (/.f64 y (+.f64 (pow.f64 z 2) 104698244219447/31250000000000)))
(+.f64 x (*.f64 11167812716741/40000000000000 (/.f64 y (+.f64 (pow.f64 z 2) 104698244219447/31250000000000))))
(+.f64 x (*.f64 11167812716741/40000000000000 (/.f64 y (+.f64 (pow.f64 z 2) 104698244219447/31250000000000))))
(+.f64 x (*.f64 11167812716741/40000000000000 (/.f64 y (+.f64 (pow.f64 z 2) 104698244219447/31250000000000))))
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 (.f64 -272651677654809570312500000/10961722342634967150292985809 (.f64 y (pow.f64 z 2))) (+.f64 (*.f64 279195317918525/3350343815022304 y) x))
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(+.f64 (.f64 -272651677654809570312500000/10961722342634967150292985809 (.f64 y (pow.f64 z 2))) (+.f64 (.f64 -266261403959774971008300781250000000000000000000000000/120159356717022632160008572058759684584348189384275384481 (.f64 y (pow.f64 z 6))) (+.f64 (.f64 279195317918525/3350343815022304 y) (+.f64 (.f64 8520364926712799072265625000000000000000/1147673082894964476557575335949564252827623 (*.f64 y (pow.f64 z 4))) x))))
x
(+.f64 (*.f64 11167812716741/40000000000000 (/.f64 y (pow.f64 z 2))) x)
(+.f64 (.f64 11167812716741/40000000000000 (/.f64 y (pow.f64 z 2))) (+.f64 (.f64 -1169250383214395100054662227/1250000000000000000000000000 (/.f64 y (pow.f64 z 4))) x))
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x
(+.f64 (*.f64 11167812716741/40000000000000 (/.f64 y (pow.f64 z 2))) x)
(+.f64 (.f64 11167812716741/40000000000000 (/.f64 y (pow.f64 z 2))) (+.f64 (.f64 -1169250383214395100054662227/1250000000000000000000000000 (/.f64 y (pow.f64 z 4))) x))
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Outputs
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(/.f64 y (/.f64 (fma.f64 z z 104698244219447/31250000000000) 11167812716741/40000000000000))
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(*.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z z 104698244219447/31250000000000)))
(/.f64 y (/.f64 (fma.f64 z z 104698244219447/31250000000000) 11167812716741/40000000000000))
(*.f64 11167812716741/40000000000000 (/.f64 y (+.f64 (pow.f64 z 2) 104698244219447/31250000000000)))
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(*.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z z 104698244219447/31250000000000)))
(/.f64 y (/.f64 (fma.f64 z z 104698244219447/31250000000000) 11167812716741/40000000000000))
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(/.f64 y (/.f64 (fma.f64 z z 104698244219447/31250000000000) 11167812716741/40000000000000))
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104698244219447/31250000000000
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x
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x
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x
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(*.f64 11167812716741/40000000000000 (/.f64 y (+.f64 (pow.f64 z 2) 104698244219447/31250000000000)))
(.f64 11167812716741/40000000000000 (/.f64 y (+.f64 (.f64 z z) 104698244219447/31250000000000)))
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(fma.f64 11167812716741/40000000000000 (/.f64 y (+.f64 (*.f64 z z) 104698244219447/31250000000000)) x)
(fma.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z z 104698244219447/31250000000000)) x)
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(fma.f64 11167812716741/40000000000000 (/.f64 y (+.f64 (*.f64 z z) 104698244219447/31250000000000)) x)
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(*.f64 11167812716741/40000000000000 (/.f64 y (+.f64 (pow.f64 z 2) 104698244219447/31250000000000)))
(.f64 11167812716741/40000000000000 (/.f64 y (+.f64 (.f64 z z) 104698244219447/31250000000000)))
(*.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z z 104698244219447/31250000000000)))
(/.f64 y (/.f64 (fma.f64 z z 104698244219447/31250000000000) 11167812716741/40000000000000))
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(fma.f64 11167812716741/40000000000000 (/.f64 y (+.f64 (*.f64 z z) 104698244219447/31250000000000)) x)
(fma.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z z 104698244219447/31250000000000)) x)
(+.f64 x (*.f64 11167812716741/40000000000000 (/.f64 y (+.f64 (pow.f64 z 2) 104698244219447/31250000000000))))
(fma.f64 11167812716741/40000000000000 (/.f64 y (+.f64 (*.f64 z z) 104698244219447/31250000000000)) x)
(fma.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z z 104698244219447/31250000000000)) x)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
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(fma.f64 -272651677654809570312500000/10961722342634967150292985809 (.f64 y (.f64 z z)) (fma.f64 279195317918525/3350343815022304 y x))
(fma.f64 -272651677654809570312500000/10961722342634967150292985809 (.f64 y (.f64 z z)) (fma.f64 y 279195317918525/3350343815022304 x))
(fma.f64 y 279195317918525/3350343815022304 (fma.f64 y (.f64 z (.f64 z -272651677654809570312500000/10961722342634967150292985809)) x))
(fma.f64 y (.f64 z (.f64 z -272651677654809570312500000/10961722342634967150292985809)) (fma.f64 y 279195317918525/3350343815022304 x))
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(fma.f64 -272651677654809570312500000/10961722342634967150292985809 (.f64 y (.f64 z z)) (fma.f64 279195317918525/3350343815022304 y (fma.f64 8520364926712799072265625000000000000000/1147673082894964476557575335949564252827623 (*.f64 y (pow.f64 z 4)) x)))
(fma.f64 -272651677654809570312500000/10961722342634967150292985809 (.f64 y (.f64 z z)) (fma.f64 y 279195317918525/3350343815022304 (fma.f64 (*.f64 y 8520364926712799072265625000000000000000/1147673082894964476557575335949564252827623) (pow.f64 z 4) x)))
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(fma.f64 y (.f64 z (.f64 z -272651677654809570312500000/10961722342634967150292985809)) (fma.f64 (pow.f64 z 4) (*.f64 y 8520364926712799072265625000000000000000/1147673082894964476557575335949564252827623) (fma.f64 y 279195317918525/3350343815022304 x)))
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(fma.f64 -272651677654809570312500000/10961722342634967150292985809 (.f64 y (.f64 z z)) (fma.f64 -266261403959774971008300781250000000000000000000000000/120159356717022632160008572058759684584348189384275384481 (.f64 y (pow.f64 z 6)) (fma.f64 y 279195317918525/3350343815022304 (fma.f64 (.f64 y 8520364926712799072265625000000000000000/1147673082894964476557575335949564252827623) (pow.f64 z 4) x))))
(fma.f64 y (.f64 z (.f64 z -272651677654809570312500000/10961722342634967150292985809)) (fma.f64 y 279195317918525/3350343815022304 (fma.f64 y (.f64 -266261403959774971008300781250000000000000000000000000/120159356717022632160008572058759684584348189384275384481 (pow.f64 z 6)) (fma.f64 y (.f64 8520364926712799072265625000000000000000/1147673082894964476557575335949564252827623 (pow.f64 z 4)) x))))
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x
(+.f64 (*.f64 11167812716741/40000000000000 (/.f64 y (pow.f64 z 2))) x)
(fma.f64 11167812716741/40000000000000 (/.f64 y (*.f64 z z)) x)
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(fma.f64 11167812716741/40000000000000 (/.f64 y (*.f64 z z)) (fma.f64 -1169250383214395100054662227/1250000000000000000000000000 (/.f64 y (pow.f64 z 4)) x))
(fma.f64 -1169250383214395100054662227/1250000000000000000000000000 (/.f64 y (pow.f64 z 4)) (fma.f64 11167812716741/40000000000000 (/.f64 y (*.f64 z z)) x))
(+.f64 (.f64 122418462175462731343176800701724849728469/39062500000000000000000000000000000000000 (/.f64 y (pow.f64 z 6))) (+.f64 (.f64 11167812716741/40000000000000 (/.f64 y (pow.f64 z 2))) (+.f64 (*.f64 -1169250383214395100054662227/1250000000000000000000000000 (/.f64 y (pow.f64 z 4))) x)))
(fma.f64 122418462175462731343176800701724849728469/39062500000000000000000000000000000000000 (/.f64 y (pow.f64 z 6)) (fma.f64 11167812716741/40000000000000 (/.f64 y (*.f64 z z)) (fma.f64 -1169250383214395100054662227/1250000000000000000000000000 (/.f64 y (pow.f64 z 4)) x)))
(fma.f64 122418462175462731343176800701724849728469/39062500000000000000000000000000000000000 (/.f64 y (pow.f64 z 6)) (fma.f64 -1169250383214395100054662227/1250000000000000000000000000 (/.f64 y (pow.f64 z 4)) (fma.f64 11167812716741/40000000000000 (/.f64 y (*.f64 z z)) x)))
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x
(+.f64 (*.f64 11167812716741/40000000000000 (/.f64 y (pow.f64 z 2))) x)
(fma.f64 11167812716741/40000000000000 (/.f64 y (*.f64 z z)) x)
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(fma.f64 11167812716741/40000000000000 (/.f64 y (*.f64 z z)) (fma.f64 -1169250383214395100054662227/1250000000000000000000000000 (/.f64 y (pow.f64 z 4)) x))
(fma.f64 -1169250383214395100054662227/1250000000000000000000000000 (/.f64 y (pow.f64 z 4)) (fma.f64 11167812716741/40000000000000 (/.f64 y (*.f64 z z)) x))
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(fma.f64 122418462175462731343176800701724849728469/39062500000000000000000000000000000000000 (/.f64 y (pow.f64 z 6)) (fma.f64 11167812716741/40000000000000 (/.f64 y (*.f64 z z)) (fma.f64 -1169250383214395100054662227/1250000000000000000000000000 (/.f64 y (pow.f64 z 4)) x)))
(fma.f64 122418462175462731343176800701724849728469/39062500000000000000000000000000000000000 (/.f64 y (pow.f64 z 6)) (fma.f64 -1169250383214395100054662227/1250000000000000000000000000 (/.f64 y (pow.f64 z 4)) (fma.f64 11167812716741/40000000000000 (/.f64 y (*.f64 z z)) x)))
(+.f64 (.f64 y (+.f64 (/.f64 11167812716741/40000000000000 (.f64 z z)) (+.f64 (/.f64 -1169250383214395100054662227/1250000000000000000000000000 (pow.f64 z 4)) (/.f64 122418462175462731343176800701724849728469/39062500000000000000000000000000000000000 (pow.f64 z 6))))) x)

localize45.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(pow.f64 (*.f64 692910599291889/10000000000000000 y) 2)
	0.6b	(*.f64 692910599291889/10000000000000000 y)
✓	3.6b	(-.f64 (pow.f64 (.f64 692910599291889/10000000000000000 y) 2) (.f64 x x))
✓	28.8b	(.f64 (-.f64 (pow.f64 (.f64 692910599291889/10000000000000000 y) 2) (.f64 x x)) (/.f64 1 (-.f64 (.f64 692910599291889/10000000000000000 y) x)))

Compiler

Compiled 57 to 37 computations (35.1% saved)

series25.0ms (0.1%)

Counts

3 → 60

Calls

15 calls:

Time	Variable		Point	Expression
12.0ms	x	@	-inf	(.f64 (-.f64 (pow.f64 (.f64 692910599291889/10000000000000000 y) 2) (.f64 x x)) (/.f64 1 (-.f64 (.f64 692910599291889/10000000000000000 y) x)))
2.0ms	y	@	0	(.f64 (-.f64 (pow.f64 (.f64 692910599291889/10000000000000000 y) 2) (.f64 x x)) (/.f64 1 (-.f64 (.f64 692910599291889/10000000000000000 y) x)))
1.0ms	x	@	0	(.f64 (-.f64 (pow.f64 (.f64 692910599291889/10000000000000000 y) 2) (.f64 x x)) (/.f64 1 (-.f64 (.f64 692910599291889/10000000000000000 y) x)))
1.0ms	y	@	-inf	(.f64 (-.f64 (pow.f64 (.f64 692910599291889/10000000000000000 y) 2) (.f64 x x)) (/.f64 1 (-.f64 (.f64 692910599291889/10000000000000000 y) x)))
1.0ms	y	@	inf	(.f64 (-.f64 (pow.f64 (.f64 692910599291889/10000000000000000 y) 2) (.f64 x x)) (/.f64 1 (-.f64 (.f64 692910599291889/10000000000000000 y) x)))

rewrite146.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

627×	`log-prod_binary64`
497×	`fma-def_binary64`
335×	`pow2_binary64`
241×	`fma-neg_binary64`
232×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	42
1	292	25
2	3901	25

Stop Event

1×	node limit

Counts

3 → 230

Calls

Call 1

Inputs

(*.f64 (-.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 2) (*.f64 x x)) (/.f64 1 (-.f64 (*.f64 692910599291889/10000000000000000 y) x)))

(-.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 2) (*.f64 x x))

(pow.f64 (*.f64 692910599291889/10000000000000000 y) 2)

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 480125098611044764748221188321/100000000000000000000000000000000) (*.f64 y y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 480125098611044764748221188321/100000000000000000000000000000000) (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 480125098611044764748221188321/100000000000000000000000000000000) (*.f64 y y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 480125098611044764748221188321/100000000000000000000000000000000) (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 692910599291889/10000000000000000 (*.f64 y (*.f64 692910599291889/10000000000000000 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (*.f64 692910599291889/10000000000000000 (*.f64 692910599291889/10000000000000000 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 692910599291889/10000000000000000 y) (*.f64 692910599291889/10000000000000000 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) 2) (cbrt.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) 2) (*.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) (*.f64 692910599291889/10000000000000000 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 4)) (pow.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 692910599291889/10000000000000000 y)) (*.f64 (sqrt.f64 (*.f64 692910599291889/10000000000000000 y)) (*.f64 692910599291889/10000000000000000 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y y) 480125098611044764748221188321/100000000000000000000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 692910599291889/10000000000000000 y)) 3) (sqrt.f64 (*.f64 692910599291889/10000000000000000 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 692910599291889/10000000000000000 y) 692910599291889/10000000000000000) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 692910599291889/10000000000000000 y) y) 692910599291889/10000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 692910599291889/10000000000000000 y) (pow.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) 2)) (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 480125098611044764748221188321/100000000000000000000000000000000) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (*.f64 692910599291889/10000000000000000 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 692910599291889/10000000000000000 y))) 1))))))

simplify172.0ms (1%)

Algorithm

1×	egg-herbie

Rules

612×	`fma-def_binary64`
565×	`fma-neg_binary64`
556×	`unsub-neg_binary64`
484×	`unswap-sqr_binary64`
449×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	462
1	30	462
2	56	462
3	115	462
4	301	462
5	1027	462
6	2122	462
7	4216	462
8	5736	462
9	7263	462
10	7973	462

Stop Event

1×	node limit

Counts

290 → 238

Calls

Call 1

Inputs
x
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(*.f64 692910599291889/10000000000000000 y)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(*.f64 692910599291889/10000000000000000 y)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(*.f64 692910599291889/10000000000000000 y)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
x
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
x
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(*.f64 -1 (pow.f64 x 2))
(+.f64 (.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 y 2)) (.f64 -1 (pow.f64 x 2)))
(+.f64 (.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 y 2)) (.f64 -1 (pow.f64 x 2)))
(+.f64 (.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 y 2)) (.f64 -1 (pow.f64 x 2)))
(*.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 y 2))
(+.f64 (.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 y 2)) (.f64 -1 (pow.f64 x 2)))
(+.f64 (.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 y 2)) (.f64 -1 (pow.f64 x 2)))
(+.f64 (.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 y 2)) (.f64 -1 (pow.f64 x 2)))
(*.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 y 2))
(+.f64 (.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 y 2)) (.f64 -1 (pow.f64 x 2)))
(+.f64 (.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 y 2)) (.f64 -1 (pow.f64 x 2)))
(+.f64 (.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 y 2)) (.f64 -1 (pow.f64 x 2)))
(*.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 y 2))
(+.f64 (.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 y 2)) (.f64 -1 (pow.f64 x 2)))
(+.f64 (.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 y 2)) (.f64 -1 (pow.f64 x 2)))
(+.f64 (.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 y 2)) (.f64 -1 (pow.f64 x 2)))
(*.f64 -1 (pow.f64 x 2))
(+.f64 (.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 y 2)) (.f64 -1 (pow.f64 x 2)))
(+.f64 (.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 y 2)) (.f64 -1 (pow.f64 x 2)))
(+.f64 (.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 y 2)) (.f64 -1 (pow.f64 x 2)))
(*.f64 -1 (pow.f64 x 2))
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(*.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 y 2))
(*.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 y 2))
(*.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 y 2))
(*.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 y 2))
(*.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 y 2))
(*.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 y 2))
(*.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 y 2))
(*.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 y 2))
(*.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 y 2))
(*.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 y 2))

Outputs
x
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(fma.f64 692910599291889/10000000000000000 y x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(fma.f64 692910599291889/10000000000000000 y x)
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(fma.f64 692910599291889/10000000000000000 y x)
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(fma.f64 692910599291889/10000000000000000 y x)
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(fma.f64 692910599291889/10000000000000000 y x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(fma.f64 692910599291889/10000000000000000 y x)
(*.f64 692910599291889/10000000000000000 y)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(fma.f64 692910599291889/10000000000000000 y x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(fma.f64 692910599291889/10000000000000000 y x)
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(fma.f64 692910599291889/10000000000000000 y x)
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(fma.f64 692910599291889/10000000000000000 y x)
x
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x
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(fma.f64 480125098611044764748221188321/100000000000000000000000000000000 (.f64 y y) (.f64 x (neg.f64 x)))
(-.f64 (.f64 y (.f64 y 480125098611044764748221188321/100000000000000000000000000000000)) (*.f64 x x))
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(neg.f64 (fma.f64 480125098611044764748221188321/100000000000000000000000000000000 (.f64 y y) (.f64 x x)))
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(fma.f64 480125098611044764748221188321/100000000000000000000000000000000 (.f64 y y) (neg.f64 (.f64 x x)))
(fma.f64 480125098611044764748221188321/100000000000000000000000000000000 (.f64 y y) (.f64 x (neg.f64 x)))
(-.f64 (.f64 y (.f64 y 480125098611044764748221188321/100000000000000000000000000000000)) (*.f64 x x))
(neg.f64 (fma.f64 y (.f64 y -480125098611044764748221188321/100000000000000000000000000000000) (.f64 x x)))
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(fma.f64 480125098611044764748221188321/100000000000000000000000000000000 (.f64 y y) (.f64 x (neg.f64 x)))
(-.f64 (.f64 y (.f64 y 480125098611044764748221188321/100000000000000000000000000000000)) (*.f64 x x))
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(-.f64 (.f64 y (.f64 y 480125098611044764748221188321/100000000000000000000000000000000)) (*.f64 x x))
(neg.f64 (fma.f64 y (.f64 y -480125098611044764748221188321/100000000000000000000000000000000) (.f64 x x)))
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(fma.f64 480125098611044764748221188321/100000000000000000000000000000000 (.f64 y y) (neg.f64 (.f64 x x)))
(fma.f64 480125098611044764748221188321/100000000000000000000000000000000 (.f64 y y) (.f64 x (neg.f64 x)))
(-.f64 (.f64 y (.f64 y 480125098611044764748221188321/100000000000000000000000000000000)) (*.f64 x x))
(neg.f64 (fma.f64 y (.f64 y -480125098611044764748221188321/100000000000000000000000000000000) (.f64 x x)))
(neg.f64 (fma.f64 480125098611044764748221188321/100000000000000000000000000000000 (.f64 y y) (.f64 x x)))
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(fma.f64 480125098611044764748221188321/100000000000000000000000000000000 (.f64 y y) (neg.f64 (.f64 x x)))
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(neg.f64 (fma.f64 y (.f64 y -480125098611044764748221188321/100000000000000000000000000000000) (.f64 x x)))
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(*.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 y 2))
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(*.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 y 2))
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(*.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 y 2))
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(*.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 y 2))
(.f64 480125098611044764748221188321/100000000000000000000000000000000 (.f64 y y))
(.f64 y (.f64 y 480125098611044764748221188321/100000000000000000000000000000000))
(*.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 y 2))
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(*.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 y 2))
(.f64 480125098611044764748221188321/100000000000000000000000000000000 (.f64 y y))
(.f64 y (.f64 y 480125098611044764748221188321/100000000000000000000000000000000))
(*.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 y 2))
(.f64 480125098611044764748221188321/100000000000000000000000000000000 (.f64 y y))
(.f64 y (.f64 y 480125098611044764748221188321/100000000000000000000000000000000))
(*.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 y 2))
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(*.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 y 2))
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(.f64 y (.f64 y 480125098611044764748221188321/100000000000000000000000000000000))

localize33.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)
	0.0b	(+.f64 z 6012459259764103/1000000000000000)
✓	0.2b	(fma.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 11167812716741/40000000000000 x)
	3.8b	(/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))

Compiler

Compiled 37 to 24 computations (35.1% saved)

series9.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(fma.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 11167812716741/40000000000000 x)
1.0ms	z	@	0	(fma.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 11167812716741/40000000000000 x)
1.0ms	y	@	0	(fma.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 11167812716741/40000000000000 x)
1.0ms	y	@	-inf	(fma.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 11167812716741/40000000000000 x)
1.0ms	z	@	inf	(fma.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 11167812716741/40000000000000 x)

rewrite112.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

502×	`log-prod_binary64`
404×	`exp-prod_binary64`
308×	`pow2_binary64`
275×	`pow-prod-down_binary64`
215×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	23
1	239	23
2	2961	23

Stop Event

1×	node limit

Counts

2 → 70

Calls

Call 1

Inputs

(fma.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 11167812716741/40000000000000 x)

(fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 11167812716741/40000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 11167812716741/40000000000000) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 11167812716741/40000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 11167812716741/40000000000000) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 11167812716741/40000000000000 x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 11167812716741/40000000000000 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 11167812716741/40000000000000 x)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 11167812716741/40000000000000 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 11167812716741/40000000000000 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 11167812716741/40000000000000 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 11167812716741/40000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 11167812716741/40000000000000 x)) (pow.f64 (cbrt.f64 (fma.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 11167812716741/40000000000000 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 11167812716741/40000000000000 x)) 2) (cbrt.f64 (fma.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 11167812716741/40000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 11167812716741/40000000000000 x)) (sqrt.f64 (fma.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 11167812716741/40000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 11167812716741/40000000000000) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 11167812716741/40000000000000) 2) (-.f64 (*.f64 x x) (*.f64 (*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 11167812716741/40000000000000) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 11167812716741/40000000000000) 2) (*.f64 x x)) (-.f64 (*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 11167812716741/40000000000000) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 11167812716741/40000000000000 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 11167812716741/40000000000000 x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 11167812716741/40000000000000 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 11167812716741/40000000000000 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 11167812716741/40000000000000 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (fma.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 11167812716741/40000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 11167812716741/40000000000000 x))) 2)) (cbrt.f64 (log.f64 (fma.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 11167812716741/40000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 11167812716741/40000000000000 x)))) (sqrt.f64 (log.f64 (fma.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 11167812716741/40000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 11167812716741/40000000000000 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 11167812716741/40000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 11167812716741/40000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (pow.f64 (exp.f64 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 11167812716741/40000000000000 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 11167812716741/40000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 11167812716741/40000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 11167812716741/40000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 11167812716741/40000000000000 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 11167812716741/40000000000000 x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 11167812716741/40000000000000 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 11167812716741/40000000000000 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 11167812716741/40000000000000 x)) 1) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 1) 104698244219447/31250000000000)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (pow.f64 (cbrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 2) (cbrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (sqrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 3) 1147673082894964476557575335949564252827623/30517578125000000000000000000000000000000) (+.f64 (pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 2) (-.f64 10961722342634967150292985809/976562500000000000000000000 (*.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 2) 10961722342634967150292985809/976562500000000000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) -104698244219447/31250000000000))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) 2)) (cbrt.f64 (log.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))) (sqrt.f64 (log.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 1) 1))))))

simplify668.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

549×	`associate-+l+_binary64`
467×	`distribute-rgt-in_binary64`
458×	`distribute-lft-in_binary64`
452×	`distribute-lft-out_binary64`
424×	`associate-+r+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	67	678
1	188	609
2	556	589
3	1990	580
4	6040	580

Stop Event

1×	node limit

Counts

118 → 98

Calls

Call 1

Inputs
x
(+.f64 (.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z)))) x)
(+.f64 (.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z)))) x)
(+.f64 (.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z)))) x)
(.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))))
(+.f64 (.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z)))) x)
(+.f64 (.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z)))) x)
(+.f64 (.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z)))) x)
(.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))))
(+.f64 (.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z)))) x)
(+.f64 (.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z)))) x)
(+.f64 (.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z)))) x)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 (.f64 -1678650474502018223880473708075/11224803678858206361900017468416 (.f64 y z)) (+.f64 (*.f64 279195317918525/3350343815022304 y) x))
(+.f64 (.f64 -1678650474502018223880473708075/11224803678858206361900017468416 (.f64 y z)) (+.f64 (.f64 -11167812716741/40000000000000 (.f64 (pow.f64 z 2) (+.f64 (.f64 976562500000000000000000000/10961722342634967150292985809 y) (.f64 -1103200267038668987913305889728057861328125/1147673082894964476557575335949564252827623 y)))) (+.f64 (*.f64 279195317918525/3350343815022304 y) x)))
(+.f64 (.f64 -1678650474502018223880473708075/11224803678858206361900017468416 (.f64 y z)) (+.f64 (.f64 -11167812716741/40000000000000 (.f64 (pow.f64 z 2) (+.f64 (.f64 976562500000000000000000000/10961722342634967150292985809 y) (.f64 -1103200267038668987913305889728057861328125/1147673082894964476557575335949564252827623 y)))) (+.f64 (.f64 279195317918525/3350343815022304 y) (+.f64 (.f64 -11167812716741/40000000000000 (.f64 (+.f64 (.f64 -183485695183230682373046875000000000000000/1147673082894964476557575335949564252827623 y) (.f64 -6012459259764103/3350343815022304 (+.f64 (.f64 976562500000000000000000000/10961722342634967150292985809 y) (*.f64 -1103200267038668987913305889728057861328125/1147673082894964476557575335949564252827623 y)))) (pow.f64 z 3))) x))))
x
(+.f64 (*.f64 11167812716741/40000000000000 (/.f64 y (pow.f64 z 2))) x)
(+.f64 (.f64 11167812716741/40000000000000 (/.f64 y (pow.f64 z 2))) (+.f64 (.f64 -67146018980080728955218948323/40000000000000000000000000000 (/.f64 y (pow.f64 z 3))) x))
(+.f64 (.f64 11167812716741/40000000000000 (/.f64 y (pow.f64 z 2))) (+.f64 (.f64 -11167812716741/40000000000000 (/.f64 (+.f64 (.f64 -36149666350323105395943207394609/1000000000000000000000000000000 y) (.f64 104698244219447/31250000000000 y)) (pow.f64 z 4))) (+.f64 (*.f64 -67146018980080728955218948323/40000000000000000000000000000 (/.f64 y (pow.f64 z 3))) x)))
x
(+.f64 (*.f64 11167812716741/40000000000000 (/.f64 y (pow.f64 z 2))) x)
(+.f64 (.f64 11167812716741/40000000000000 (/.f64 y (pow.f64 z 2))) (+.f64 (.f64 -67146018980080728955218948323/40000000000000000000000000000 (/.f64 y (pow.f64 z 3))) x))
(+.f64 (.f64 11167812716741/40000000000000 (/.f64 y (pow.f64 z 2))) (+.f64 (.f64 -11167812716741/40000000000000 (/.f64 (+.f64 (.f64 -36149666350323105395943207394609/1000000000000000000000000000000 y) (.f64 104698244219447/31250000000000 y)) (pow.f64 z 4))) (+.f64 (*.f64 -67146018980080728955218948323/40000000000000000000000000000 (/.f64 y (pow.f64 z 3))) x)))
(.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))))
(+.f64 (.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z)))) x)
(+.f64 (.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z)))) x)
(+.f64 (.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z)))) x)
x
(+.f64 (.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z)))) x)
(+.f64 (.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z)))) x)
(+.f64 (.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z)))) x)
x
(+.f64 (.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z)))) x)
(+.f64 (.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z)))) x)
(+.f64 (.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z)))) x)
104698244219447/31250000000000
(+.f64 (*.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000)
(+.f64 (pow.f64 z 2) (+.f64 (*.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000))
(+.f64 (pow.f64 z 2) (+.f64 (*.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000))
(pow.f64 z 2)
(+.f64 (pow.f64 z 2) (*.f64 6012459259764103/1000000000000000 z))
(+.f64 (pow.f64 z 2) (+.f64 (*.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000))
(+.f64 (pow.f64 z 2) (+.f64 (*.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000))
(pow.f64 z 2)
(+.f64 (pow.f64 z 2) (*.f64 6012459259764103/1000000000000000 z))
(+.f64 (pow.f64 z 2) (+.f64 (*.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000))
(+.f64 (pow.f64 z 2) (+.f64 (*.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000))

Outputs
x
(+.f64 (.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z)))) x)
(fma.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z)))) x)
(fma.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z (+.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000)) x)
(+.f64 (.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z)))) x)
(fma.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z)))) x)
(fma.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z (+.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000)) x)
(+.f64 (.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z)))) x)
(fma.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z)))) x)
(fma.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z (+.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000)) x)
(.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))))
(.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (.f64 z (+.f64 6012459259764103/1000000000000000 z)))))
(*.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z (+.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000)))
(/.f64 (*.f64 11167812716741/40000000000000 y) (fma.f64 z (+.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000))
(/.f64 y (/.f64 (fma.f64 z (+.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000) 11167812716741/40000000000000))
(+.f64 (.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z)))) x)
(fma.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z)))) x)
(fma.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z (+.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000)) x)
(+.f64 (.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z)))) x)
(fma.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z)))) x)
(fma.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z (+.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000)) x)
(+.f64 (.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z)))) x)
(fma.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z)))) x)
(fma.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z (+.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000)) x)
(.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))))
(.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (.f64 z (+.f64 6012459259764103/1000000000000000 z)))))
(*.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z (+.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000)))
(/.f64 (*.f64 11167812716741/40000000000000 y) (fma.f64 z (+.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000))
(/.f64 y (/.f64 (fma.f64 z (+.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000) 11167812716741/40000000000000))
(+.f64 (.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z)))) x)
(fma.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z)))) x)
(fma.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z (+.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000)) x)
(+.f64 (.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z)))) x)
(fma.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z)))) x)
(fma.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z (+.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000)) x)
(+.f64 (.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z)))) x)
(fma.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z)))) x)
(fma.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z (+.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000)) x)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(fma.f64 279195317918525/3350343815022304 y x)
(fma.f64 y 279195317918525/3350343815022304 x)
(+.f64 (.f64 -1678650474502018223880473708075/11224803678858206361900017468416 (.f64 y z)) (+.f64 (*.f64 279195317918525/3350343815022304 y) x))
(fma.f64 -1678650474502018223880473708075/11224803678858206361900017468416 (*.f64 y z) (fma.f64 279195317918525/3350343815022304 y x))
(fma.f64 -1678650474502018223880473708075/11224803678858206361900017468416 (*.f64 y z) (fma.f64 y 279195317918525/3350343815022304 x))
(fma.f64 y 279195317918525/3350343815022304 (fma.f64 y (*.f64 z -1678650474502018223880473708075/11224803678858206361900017468416) x))
(+.f64 (.f64 -1678650474502018223880473708075/11224803678858206361900017468416 (.f64 y z)) (+.f64 (.f64 -11167812716741/40000000000000 (.f64 (pow.f64 z 2) (+.f64 (.f64 976562500000000000000000000/10961722342634967150292985809 y) (.f64 -1103200267038668987913305889728057861328125/1147673082894964476557575335949564252827623 y)))) (+.f64 (*.f64 279195317918525/3350343815022304 y) x)))
(fma.f64 -1678650474502018223880473708075/11224803678858206361900017468416 (.f64 y z) (fma.f64 -11167812716741/40000000000000 (.f64 (.f64 z z) (.f64 y -1000955887918115276975805889728057861328125/1147673082894964476557575335949564252827623)) (fma.f64 279195317918525/3350343815022304 y x)))
(fma.f64 -1678650474502018223880473708075/11224803678858206361900017468416 (.f64 y z) (fma.f64 -11167812716741/40000000000000 (.f64 y (.f64 -1000955887918115276975805889728057861328125/1147673082894964476557575335949564252827623 (.f64 z z))) (fma.f64 y 279195317918525/3350343815022304 x)))
(fma.f64 y (.f64 z -1678650474502018223880473708075/11224803678858206361900017468416) (fma.f64 y 279195317918525/3350343815022304 (fma.f64 (.f64 z z) (*.f64 y 9157417282755548667831574904743338418186231725/37606951580302195967838628608395321436655550464) x)))
(+.f64 (.f64 -1678650474502018223880473708075/11224803678858206361900017468416 (.f64 y z)) (+.f64 (.f64 -11167812716741/40000000000000 (.f64 (pow.f64 z 2) (+.f64 (.f64 976562500000000000000000000/10961722342634967150292985809 y) (.f64 -1103200267038668987913305889728057861328125/1147673082894964476557575335949564252827623 y)))) (+.f64 (.f64 279195317918525/3350343815022304 y) (+.f64 (.f64 -11167812716741/40000000000000 (.f64 (+.f64 (.f64 -183485695183230682373046875000000000000000/1147673082894964476557575335949564252827623 y) (.f64 -6012459259764103/3350343815022304 (+.f64 (.f64 976562500000000000000000000/10961722342634967150292985809 y) (*.f64 -1103200267038668987913305889728057861328125/1147673082894964476557575335949564252827623 y)))) (pow.f64 z 3))) x))))
(fma.f64 -1678650474502018223880473708075/11224803678858206361900017468416 (.f64 y z) (fma.f64 -11167812716741/40000000000000 (.f64 (.f64 z z) (.f64 y -1000955887918115276975805889728057861328125/1147673082894964476557575335949564252827623)) (fma.f64 279195317918525/3350343815022304 y (fma.f64 -11167812716741/40000000000000 (.f64 (fma.f64 -183485695183230682373046875000000000000000/1147673082894964476557575335949564252827623 y (.f64 (*.f64 y -1000955887918115276975805889728057861328125/1147673082894964476557575335949564252827623) -6012459259764103/3350343815022304)) (pow.f64 z 3)) x))))
(fma.f64 -1678650474502018223880473708075/11224803678858206361900017468416 (.f64 y z) (fma.f64 -11167812716741/40000000000000 (.f64 y (.f64 -1000955887918115276975805889728057861328125/1147673082894964476557575335949564252827623 (.f64 z z))) (fma.f64 y 279195317918525/3350343815022304 (fma.f64 (.f64 -11167812716741/40000000000000 (fma.f64 y -183485695183230682373046875000000000000000/1147673082894964476557575335949564252827623 (.f64 y 6018206496928671827708429278165238688188901389373779296875/3845099414944724229120274305880309906699142060296812303392))) (pow.f64 z 3) x))))
(fma.f64 y (.f64 z -1678650474502018223880473708075/11224803678858206361900017468416) (fma.f64 (.f64 z z) (.f64 y 9157417282755548667831574904743338418186231725/37606951580302195967838628608395321436655550464) (fma.f64 (.f64 y 5403466332926467154356295380664262125688901389373779296875/3845099414944724229120274305880309906699142060296812303392) (*.f64 -11167812716741/40000000000000 (pow.f64 z 3)) (fma.f64 y 279195317918525/3350343815022304 x))))
(fma.f64 y (.f64 z -1678650474502018223880473708075/11224803678858206361900017468416) (fma.f64 y 279195317918525/3350343815022304 (fma.f64 (.f64 z z) (.f64 y 9157417282755548667831574904743338418186231725/37606951580302195967838628608395321436655550464) (fma.f64 (pow.f64 z 3) (.f64 y -49434542102395337057955907590727616078723417236647145994767675/125996217628908723539813148455085995022717487031805945557549056) x))))
(+.f64 (fma.f64 y 279195317918525/3350343815022304 x) (.f64 z (+.f64 (.f64 y -1678650474502018223880473708075/11224803678858206361900017468416) (.f64 z (+.f64 (.f64 z (.f64 y -49434542102395337057955907590727616078723417236647145994767675/125996217628908723539813148455085995022717487031805945557549056)) (.f64 y 9157417282755548667831574904743338418186231725/37606951580302195967838628608395321436655550464))))))
x
(+.f64 (*.f64 11167812716741/40000000000000 (/.f64 y (pow.f64 z 2))) x)
(fma.f64 11167812716741/40000000000000 (/.f64 y (*.f64 z z)) x)
(+.f64 (.f64 11167812716741/40000000000000 (/.f64 y (pow.f64 z 2))) (+.f64 (.f64 -67146018980080728955218948323/40000000000000000000000000000 (/.f64 y (pow.f64 z 3))) x))
(fma.f64 11167812716741/40000000000000 (/.f64 y (*.f64 z z)) (fma.f64 -67146018980080728955218948323/40000000000000000000000000000 (/.f64 y (pow.f64 z 3)) x))
(+.f64 x (.f64 (/.f64 y (.f64 z z)) (+.f64 11167812716741/40000000000000 (/.f64 -67146018980080728955218948323/40000000000000000000000000000 z))))
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(fma.f64 11167812716741/40000000000000 (/.f64 y (.f64 z z)) (fma.f64 -11167812716741/40000000000000 (/.f64 (.f64 y -32799322535300801395943207394609/1000000000000000000000000000000) (pow.f64 z 4)) (fma.f64 -67146018980080728955218948323/40000000000000000000000000000 (/.f64 y (pow.f64 z 3)) x)))
(fma.f64 11167812716741/40000000000000 (/.f64 y (*.f64 z z)) (fma.f64 -11167812716741/40000000000000 (/.f64 y (/.f64 (pow.f64 z 4) -32799322535300801395943207394609/1000000000000000000000000000000)) (fma.f64 -67146018980080728955218948323/40000000000000000000000000000 (/.f64 y (pow.f64 z 3)) x)))
(+.f64 x (+.f64 (/.f64 (.f64 y 366296691310221946713262996189733536727449269/40000000000000000000000000000000000000000000) (pow.f64 z 4)) (.f64 (/.f64 y (*.f64 z z)) (+.f64 11167812716741/40000000000000 (/.f64 -67146018980080728955218948323/40000000000000000000000000000 z)))))
(+.f64 x (.f64 (/.f64 y (.f64 z z)) (+.f64 (/.f64 366296691310221946713262996189733536727449269/40000000000000000000000000000000000000000000 (*.f64 z z)) (+.f64 11167812716741/40000000000000 (/.f64 -67146018980080728955218948323/40000000000000000000000000000 z)))))
(+.f64 x (.f64 (/.f64 y (.f64 z z)) (+.f64 11167812716741/40000000000000 (+.f64 (/.f64 -67146018980080728955218948323/40000000000000000000000000000 z) (/.f64 366296691310221946713262996189733536727449269/40000000000000000000000000000000000000000000 (*.f64 z z))))))
x
(+.f64 (*.f64 11167812716741/40000000000000 (/.f64 y (pow.f64 z 2))) x)
(fma.f64 11167812716741/40000000000000 (/.f64 y (*.f64 z z)) x)
(+.f64 (.f64 11167812716741/40000000000000 (/.f64 y (pow.f64 z 2))) (+.f64 (.f64 -67146018980080728955218948323/40000000000000000000000000000 (/.f64 y (pow.f64 z 3))) x))
(fma.f64 11167812716741/40000000000000 (/.f64 y (*.f64 z z)) (fma.f64 -67146018980080728955218948323/40000000000000000000000000000 (/.f64 y (pow.f64 z 3)) x))
(+.f64 x (.f64 (/.f64 y (.f64 z z)) (+.f64 11167812716741/40000000000000 (/.f64 -67146018980080728955218948323/40000000000000000000000000000 z))))
(+.f64 (.f64 11167812716741/40000000000000 (/.f64 y (pow.f64 z 2))) (+.f64 (.f64 -11167812716741/40000000000000 (/.f64 (+.f64 (.f64 -36149666350323105395943207394609/1000000000000000000000000000000 y) (.f64 104698244219447/31250000000000 y)) (pow.f64 z 4))) (+.f64 (*.f64 -67146018980080728955218948323/40000000000000000000000000000 (/.f64 y (pow.f64 z 3))) x)))
(fma.f64 11167812716741/40000000000000 (/.f64 y (.f64 z z)) (fma.f64 -11167812716741/40000000000000 (/.f64 (.f64 y -32799322535300801395943207394609/1000000000000000000000000000000) (pow.f64 z 4)) (fma.f64 -67146018980080728955218948323/40000000000000000000000000000 (/.f64 y (pow.f64 z 3)) x)))
(fma.f64 11167812716741/40000000000000 (/.f64 y (*.f64 z z)) (fma.f64 -11167812716741/40000000000000 (/.f64 y (/.f64 (pow.f64 z 4) -32799322535300801395943207394609/1000000000000000000000000000000)) (fma.f64 -67146018980080728955218948323/40000000000000000000000000000 (/.f64 y (pow.f64 z 3)) x)))
(+.f64 x (+.f64 (/.f64 (.f64 y 366296691310221946713262996189733536727449269/40000000000000000000000000000000000000000000) (pow.f64 z 4)) (.f64 (/.f64 y (*.f64 z z)) (+.f64 11167812716741/40000000000000 (/.f64 -67146018980080728955218948323/40000000000000000000000000000 z)))))
(+.f64 x (.f64 (/.f64 y (.f64 z z)) (+.f64 (/.f64 366296691310221946713262996189733536727449269/40000000000000000000000000000000000000000000 (*.f64 z z)) (+.f64 11167812716741/40000000000000 (/.f64 -67146018980080728955218948323/40000000000000000000000000000 z)))))
(+.f64 x (.f64 (/.f64 y (.f64 z z)) (+.f64 11167812716741/40000000000000 (+.f64 (/.f64 -67146018980080728955218948323/40000000000000000000000000000 z) (/.f64 366296691310221946713262996189733536727449269/40000000000000000000000000000000000000000000 (*.f64 z z))))))
(.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))))
(.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (.f64 z (+.f64 6012459259764103/1000000000000000 z)))))
(*.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z (+.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000)))
(/.f64 (*.f64 11167812716741/40000000000000 y) (fma.f64 z (+.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000))
(/.f64 y (/.f64 (fma.f64 z (+.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000) 11167812716741/40000000000000))
(+.f64 (.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z)))) x)
(fma.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z)))) x)
(fma.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z (+.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000)) x)
(+.f64 (.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z)))) x)
(fma.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z)))) x)
(fma.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z (+.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000)) x)
(+.f64 (.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z)))) x)
(fma.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z)))) x)
(fma.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z (+.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000)) x)
x
(+.f64 (.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z)))) x)
(fma.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z)))) x)
(fma.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z (+.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000)) x)
(+.f64 (.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z)))) x)
(fma.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z)))) x)
(fma.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z (+.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000)) x)
(+.f64 (.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z)))) x)
(fma.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z)))) x)
(fma.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z (+.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000)) x)
x
(+.f64 (.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z)))) x)
(fma.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z)))) x)
(fma.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z (+.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000)) x)
(+.f64 (.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z)))) x)
(fma.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z)))) x)
(fma.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z (+.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000)) x)
(+.f64 (.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z)))) x)
(fma.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z)))) x)
(fma.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z (+.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000)) x)
104698244219447/31250000000000
(+.f64 (*.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000)
(fma.f64 6012459259764103/1000000000000000 z 104698244219447/31250000000000)
(+.f64 (pow.f64 z 2) (+.f64 (*.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000))
(+.f64 (*.f64 z z) (fma.f64 6012459259764103/1000000000000000 z 104698244219447/31250000000000))
(fma.f64 z (+.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000)
(+.f64 (pow.f64 z 2) (+.f64 (*.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000))
(+.f64 (*.f64 z z) (fma.f64 6012459259764103/1000000000000000 z 104698244219447/31250000000000))
(fma.f64 z (+.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000)
(pow.f64 z 2)
(*.f64 z z)
(+.f64 (pow.f64 z 2) (*.f64 6012459259764103/1000000000000000 z))
(+.f64 (.f64 z z) (.f64 6012459259764103/1000000000000000 z))
(*.f64 z (+.f64 6012459259764103/1000000000000000 z))
(+.f64 (pow.f64 z 2) (+.f64 (*.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000))
(+.f64 (*.f64 z z) (fma.f64 6012459259764103/1000000000000000 z 104698244219447/31250000000000))
(fma.f64 z (+.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000)
(+.f64 (pow.f64 z 2) (+.f64 (*.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000))
(+.f64 (*.f64 z z) (fma.f64 6012459259764103/1000000000000000 z 104698244219447/31250000000000))
(fma.f64 z (+.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000)
(pow.f64 z 2)
(*.f64 z z)
(+.f64 (pow.f64 z 2) (*.f64 6012459259764103/1000000000000000 z))
(+.f64 (.f64 z z) (.f64 6012459259764103/1000000000000000 z))
(*.f64 z (+.f64 6012459259764103/1000000000000000 z))
(+.f64 (pow.f64 z 2) (+.f64 (*.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000))
(+.f64 (*.f64 z z) (fma.f64 6012459259764103/1000000000000000 z 104698244219447/31250000000000))
(fma.f64 z (+.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000)
(+.f64 (pow.f64 z 2) (+.f64 (*.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000))
(+.f64 (*.f64 z z) (fma.f64 6012459259764103/1000000000000000 z 104698244219447/31250000000000))
(fma.f64 z (+.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000)

eval308.0ms (1.8%)

Compiler: Compiled 13787 to 9049 computations (34.4% saved)

prune155.0ms (0.9%)

Pruning

33 alts after pruning (30 fresh and 3 done)

	Pruned	Kept	Total
New	766	17	783
Fresh	10	13	23
Picked	1	0	1
Done	3	3	6
Total	780	33	813

Error

0.0b

Counts

813 → 33

Alt Table

Click to see full alt table

Status	Error	Program
	47.2b	(.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))))
▶	52.3b	(.f64 (.f64 y (.f64 y 480125098611044764748221188321/100000000000000000000000000000000)) (/.f64 1 (-.f64 (.f64 692910599291889/10000000000000000 y) x)))
	24.4b	(+.f64 x (/.f64 (.f64 y (+.f64 (.f64 (+.f64 (cbrt.f64 (.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 z 3))) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
	45.5b	(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))
	14.4b	(+.f64 x (/.f64 (*.f64 y 11167812716741/40000000000000) 104698244219447/31250000000000))
	14.4b	(fma.f64 (/.f64 y 104698244219447/31250000000000) 11167812716741/40000000000000 x)
	32.6b	x
	36.8b	(/.f64 1 (/.f64 (-.f64 (.f64 692910599291889/10000000000000000 y) x) (-.f64 (pow.f64 (.f64 692910599291889/10000000000000000 y) 2) (*.f64 x x))))
	38.2b	(/.f64 1 (/.f64 (-.f64 (.f64 279195317918525/3350343815022304 y) x) (-.f64 (pow.f64 (.f64 279195317918525/3350343815022304 y) 2) (*.f64 x x))))
▶	56.2b	(.f64 (+.f64 (/.f64 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))) (/.f64 (/.f64 11167812716741/40000000000000 z) z)) y)
	36.7b	(.f64 (-.f64 (.f64 (.f64 (.f64 692910599291889/10000000000000000 y) y) 692910599291889/10000000000000000) (.f64 x x)) (/.f64 1 (-.f64 (.f64 692910599291889/10000000000000000 y) x)))
▶	13.1b	(+.f64 (.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 (cbrt.f64 y) 692910599291889/10000000000000000)) x)
▶	39.6b	(+.f64 (pow.f64 (sqrt.f64 (*.f64 279195317918525/3350343815022304 y)) 2) x)
	17.5b	(+.f64 x (pow.f64 (*.f64 40000000000000/11167812716741 (/.f64 (fma.f64 z z 104698244219447/31250000000000) y)) -1))
	54.5b	(pow.f64 (sqrt.f64 (*.f64 692910599291889/10000000000000000 y)) 2)
	36.7b	(/.f64 1 (/.f64 (-.f64 (.f64 692910599291889/10000000000000000 y) x) (-.f64 (.f64 480125098611044764748221188321/100000000000000000000000000000000 (.f64 y y)) (.f64 x x))))
	37.2b	(+.f64 x (/.f64 (.f64 y (.f64 z (.f64 692910599291889/10000000000000000 z))) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
	36.8b	(.f64 (-.f64 (.f64 (.f64 y y) 480125098611044764748221188321/100000000000000000000000000000000) (.f64 x x)) (/.f64 1 (-.f64 (*.f64 692910599291889/10000000000000000 y) x)))
	47.5b	(.f64 y (+.f64 (.f64 z (+.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320))) 279195317918525/3350343815022304))
	36.7b	(/.f64 (-.f64 (.f64 480125098611044764748221188321/100000000000000000000000000000000 (.f64 y y)) (.f64 x x)) (-.f64 (.f64 692910599291889/10000000000000000 y) x))
	17.6b	(+.f64 x (/.f64 11167812716741/40000000000000 (/.f64 (fma.f64 z (+.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000) y)))
✓	14.4b	(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
	47.1b	(.f64 y (+.f64 279195317918525/3350343815022304 (.f64 z -155900051080628738716045985239/56124018394291031809500087342080)))
	44.1b	(/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
	13.1b	(+.f64 (pow.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 692910599291889/10000000000000000)) 3) x)
	47.1b	(+.f64 (.f64 279195317918525/3350343815022304 y) (.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)))
	29.6b	(+.f64 x (.f64 (/.f64 (.f64 y 11167812716741/40000000000000) (+.f64 1147673082894964476557575335949564252827623/30517578125000000000000000000000000000000 (pow.f64 z 6))) (-.f64 (+.f64 (pow.f64 z 4) 10961722342634967150292985809/976562500000000000000000000) (.f64 z (.f64 z 104698244219447/31250000000000)))))
✓	12.8b	(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
	34.2b	(fma.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (*.f64 692910599291889/10000000000000000 (pow.f64 z 2)) x)
	39.4b	(+.f64 (.f64 (.f64 692910599291889/10000000000000000 (sqrt.f64 y)) (sqrt.f64 y)) x)
✓	42.5b	(*.f64 692910599291889/10000000000000000 y)
	42.8b	(pow.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) 3)
▶	43.9b	(*.f64 279195317918525/3350343815022304 y)

Compiler

Compiled 940 to 708 computations (24.7% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 (cbrt.f64 y) 692910599291889/10000000000000000))
✓	0.5b	(*.f64 (cbrt.f64 y) 692910599291889/10000000000000000)
✓	0.6b	(cbrt.f64 y)
✓	0.6b	(pow.f64 (cbrt.f64 y) 2)

Compiler

Compiled 37 to 21 computations (43.2% saved)

series9.0ms (0.1%)

Counts

4 → 12

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	y	@	-inf	(.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 (cbrt.f64 y) 692910599291889/10000000000000000))
1.0ms	y	@	-inf	(pow.f64 (cbrt.f64 y) 2)
1.0ms	y	@	0	(pow.f64 (cbrt.f64 y) 2)
1.0ms	y	@	inf	(pow.f64 (cbrt.f64 y) 2)
1.0ms	y	@	-inf	(*.f64 (cbrt.f64 y) 692910599291889/10000000000000000)

rewrite82.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

649×	`pow1_binary64`
604×	`add-log-exp_binary64`
604×	`log1p-expm1-u_binary64`
604×	`expm1-log1p-u_binary64`
591×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	164	19
2	1735	19

Stop Event

1×	node limit

Counts

4 → 60

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 y) 2)
(cbrt.f64 y)
(*.f64 (cbrt.f64 y) 692910599291889/10000000000000000)
(.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 (cbrt.f64 y) 692910599291889/10000000000000000))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (cbrt.f64 y) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 y) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 y) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (cbrt.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2) (cbrt.f64 (.f64 y (cbrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2) (.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 y (cbrt.f64 y))) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 y) (pow.f64 y 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 y 1/6) (.f64 (pow.f64 y 1/6) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2)) (cbrt.f64 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 y (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (cbrt.f64 y))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2) (cbrt.f64 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 y 1/6) (pow.f64 y 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cbrt.f64 (.f64 y (cbrt.f64 y)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/3) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 y) 1/3) (pow.f64 (sqrt.f64 y) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 y 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 y) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 y 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 y)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (.f64 (cbrt.f64 y) 692910599291889/10000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (cbrt.f64 y) 692910599291889/10000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (cbrt.f64 y) 692910599291889/10000000000000000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (cbrt.f64 y) 692910599291889/10000000000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (cbrt.f64 y) 692910599291889/10000000000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 (cbrt.f64 y) 2) 480125098611044764748221188321/100000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 692910599291889/10000000000000000) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (cbrt.f64 y) 692910599291889/10000000000000000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (cbrt.f64 y) 692910599291889/10000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (cbrt.f64 y) 692910599291889/10000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (cbrt.f64 y) 692910599291889/10000000000000000)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (.f64 y 692910599291889/10000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 y 692910599291889/10000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 y 692910599291889/10000000000000000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 y 692910599291889/10000000000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 y 692910599291889/10000000000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (.f64 y y) 480125098611044764748221188321/100000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) 692910599291889/10000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 y 692910599291889/10000000000000000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (.f64 y y) (pow.f64 (.f64 (cbrt.f64 y) 692910599291889/10000000000000000) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (.f64 (cbrt.f64 y) 692910599291889/10000000000000000) 3) (.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 y 692910599291889/10000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 y 692910599291889/10000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y 692910599291889/10000000000000000)))))))

simplify9.0ms (0.1%)

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

72 → 61

Calls

Call 1

Inputs
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)

Outputs
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)

localize4.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.2b	(*.f64 279195317918525/3350343815022304 y)

Compiler

Compiled 8 to 6 computations (25% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 1 (-.f64 (*.f64 692910599291889/10000000000000000 y) x))
✓	0.1b	(.f64 y (.f64 y 480125098611044764748221188321/100000000000000000000000000000000))
	0.6b	(*.f64 692910599291889/10000000000000000 y)
✓	20.2b	(.f64 (.f64 y (.f64 y 480125098611044764748221188321/100000000000000000000000000000000)) (/.f64 1 (-.f64 (.f64 692910599291889/10000000000000000 y) x)))

Compiler

Compiled 44 to 30 computations (31.8% saved)

series10.0ms (0.1%)

Counts

3 → 60

Calls

15 calls:

Time	Variable		Point	Expression
2.0ms	y	@	inf	(/.f64 1 (-.f64 (*.f64 692910599291889/10000000000000000 y) x))
1.0ms	y	@	0	(.f64 (.f64 y (.f64 y 480125098611044764748221188321/100000000000000000000000000000000)) (/.f64 1 (-.f64 (.f64 692910599291889/10000000000000000 y) x)))
1.0ms	x	@	inf	(.f64 (.f64 y (.f64 y 480125098611044764748221188321/100000000000000000000000000000000)) (/.f64 1 (-.f64 (.f64 692910599291889/10000000000000000 y) x)))
1.0ms	x	@	-inf	(.f64 (.f64 y (.f64 y 480125098611044764748221188321/100000000000000000000000000000000)) (/.f64 1 (-.f64 (.f64 692910599291889/10000000000000000 y) x)))
1.0ms	y	@	inf	(.f64 (.f64 y (.f64 y 480125098611044764748221188321/100000000000000000000000000000000)) (/.f64 1 (-.f64 (.f64 692910599291889/10000000000000000 y) x)))

rewrite99.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

765×	`prod-diff_binary64`
614×	`log-prod_binary64`
368×	`fma-def_binary64`
303×	`pow2_binary64`
224×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	33
1	256	33
2	3304	33

Stop Event

1×	node limit

Counts

3 → 84

Calls

Call 1

Inputs

(*.f64 (*.f64 y (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000)) (/.f64 1 (-.f64 (*.f64 692910599291889/10000000000000000 y) x)))

(*.f64 y (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000))

(/.f64 1 (-.f64 (*.f64 692910599291889/10000000000000000 y) x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (*.f64 y (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000)) (-.f64 (*.f64 y 692910599291889/10000000000000000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (/.f64 (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000) (-.f64 (*.f64 y 692910599291889/10000000000000000) x)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (/.f64 (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000) (-.f64 (*.f64 y 692910599291889/10000000000000000) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (/.f64 (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000) (-.f64 (*.f64 y 692910599291889/10000000000000000) x))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (/.f64 (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000) (-.f64 (*.f64 y 692910599291889/10000000000000000) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 y (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000)) (-.f64 (*.f64 y 692910599291889/10000000000000000) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (/.f64 (-.f64 (*.f64 y 692910599291889/10000000000000000) x) (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000) (/.f64 (-.f64 (*.f64 y 692910599291889/10000000000000000) x) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000)) (-.f64 (*.f64 y 692910599291889/10000000000000000) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 y 692910599291889/10000000000000000) x) (*.f64 y (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y 692910599291889/10000000000000000) (/.f64 (-.f64 (*.f64 y 692910599291889/10000000000000000) x) (*.f64 y 692910599291889/10000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y y) (/.f64 (-.f64 (*.f64 y 692910599291889/10000000000000000) x) 480125098611044764748221188321/100000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (*.f64 y (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000))) 2) (/.f64 (-.f64 (*.f64 y 692910599291889/10000000000000000) x) (cbrt.f64 (*.f64 y (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 y (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000))) (neg.f64 (-.f64 (*.f64 y 692910599291889/10000000000000000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000)) (sqrt.f64 (-.f64 (*.f64 y 692910599291889/10000000000000000) x))) (sqrt.f64 (-.f64 (*.f64 y 692910599291889/10000000000000000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000)) 1) (-.f64 (*.f64 y 692910599291889/10000000000000000) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000)) (pow.f64 (cbrt.f64 (-.f64 (*.f64 y 692910599291889/10000000000000000) x)) 2)) (cbrt.f64 (-.f64 (*.f64 y 692910599291889/10000000000000000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (*.f64 y (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000))) (neg.f64 (-.f64 (*.f64 y 692910599291889/10000000000000000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 y (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000)) -1) (neg.f64 (-.f64 (*.f64 y 692910599291889/10000000000000000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 y (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000)) (-.f64 (*.f64 y 692910599291889/10000000000000000) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 y (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000)) (-.f64 (*.f64 y 692910599291889/10000000000000000) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 y (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000)) (-.f64 (*.f64 y 692910599291889/10000000000000000) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 y 692910599291889/10000000000000000) (sqrt.f64 (-.f64 (*.f64 y 692910599291889/10000000000000000) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 y (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000)) 3) (pow.f64 (-.f64 (*.f64 y 692910599291889/10000000000000000) x) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 y (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000)) 3) (pow.f64 (/.f64 1 (-.f64 (*.f64 y 692910599291889/10000000000000000) x)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 1 (-.f64 (*.f64 y 692910599291889/10000000000000000) x)) 3) (pow.f64 (*.f64 y (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (*.f64 y 692910599291889/10000000000000000) x) (*.f64 y (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (*.f64 y (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000)) (-.f64 (*.f64 y 692910599291889/10000000000000000) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (/.f64 (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000) (-.f64 (*.f64 y 692910599291889/10000000000000000) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 y (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000)) (-.f64 (*.f64 y 692910599291889/10000000000000000) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 y (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000)) (-.f64 (*.f64 y 692910599291889/10000000000000000) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 y (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000)) 3) (pow.f64 (-.f64 (*.f64 y 692910599291889/10000000000000000) x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 y (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000)) 3) (pow.f64 (/.f64 1 (-.f64 (*.f64 y 692910599291889/10000000000000000) x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (-.f64 (*.f64 y 692910599291889/10000000000000000) x)) 3) (pow.f64 (*.f64 y (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 y (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000)) (-.f64 (*.f64 y 692910599291889/10000000000000000) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 y (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000)) (-.f64 (*.f64 y 692910599291889/10000000000000000) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 y (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000)) (-.f64 (*.f64 y 692910599291889/10000000000000000) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 y (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000)) (-.f64 (*.f64 y 692910599291889/10000000000000000) x))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 y (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y 692910599291889/10000000000000000) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 y 3) (pow.f64 (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000) 3) (pow.f64 y 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (*.f64 y y) 2) 230520110316265459487628991262802136350644949140489346799041/10000000000000000000000000000000000000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (*.f64 y 692910599291889/10000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 y 692910599291889/10000000000000000))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (-.f64 (*.f64 y 692910599291889/10000000000000000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 (*.f64 y 692910599291889/10000000000000000) x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 (*.f64 y 692910599291889/10000000000000000) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 (*.f64 y 692910599291889/10000000000000000) x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 (*.f64 y 692910599291889/10000000000000000) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 (*.f64 y 692910599291889/10000000000000000) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (-.f64 (*.f64 y 692910599291889/10000000000000000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (*.f64 y 692910599291889/10000000000000000) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (-.f64 (*.f64 y 692910599291889/10000000000000000) x))) (cbrt.f64 (pow.f64 (-.f64 (*.f64 y 692910599291889/10000000000000000) x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 y 692910599291889/10000000000000000) x) -2)) (/.f64 1 (cbrt.f64 (-.f64 (*.f64 y 692910599291889/10000000000000000) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 (*.f64 y 692910599291889/10000000000000000) x) -1/2) (pow.f64 (-.f64 (*.f64 y 692910599291889/10000000000000000) x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (-.f64 (*.f64 y 692910599291889/10000000000000000) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 (*.f64 y 692910599291889/10000000000000000) x)) 2)) (/.f64 1 (cbrt.f64 (-.f64 (*.f64 y 692910599291889/10000000000000000) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (*.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) (pow.f64 x 3))) (fma.f64 y (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000) (*.f64 x (fma.f64 y 692910599291889/10000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 y (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000) (neg.f64 (*.f64 x x)))) (fma.f64 y 692910599291889/10000000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (*.f64 y 692910599291889/10000000000000000) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (-.f64 (*.f64 y 692910599291889/10000000000000000) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (-.f64 (*.f64 y 692910599291889/10000000000000000) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (*.f64 y 692910599291889/10000000000000000) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (*.f64 y 692910599291889/10000000000000000) x) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 y 692910599291889/10000000000000000) x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (*.f64 y 692910599291889/10000000000000000) x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (-.f64 (*.f64 y 692910599291889/10000000000000000) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 (*.f64 y 692910599291889/10000000000000000) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (-.f64 (*.f64 y 692910599291889/10000000000000000) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (-.f64 (*.f64 y 692910599291889/10000000000000000) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (-.f64 (*.f64 y 692910599291889/10000000000000000) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (-.f64 (*.f64 y 692910599291889/10000000000000000) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 y 692910599291889/10000000000000000) x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (-.f64 (*.f64 y 692910599291889/10000000000000000) x))) 1))))))

simplify98.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

703×	`distribute-rgt-out_binary64`
659×	`associate-/r/_binary64`
609×	`associate-l_binary64`
586×	`fma-neg_binary64`
496×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	78	1140
1	201	1122
2	571	1110
3	2160	1038
4	5625	1026

Stop Event

1×	node limit

Counts

144 → 116

Calls

Call 1

Inputs
(*.f64 -480125098611044764748221188321/100000000000000000000000000000000 (/.f64 (pow.f64 y 2) x))
(+.f64 (.f64 -332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (.f64 -480125098611044764748221188321/100000000000000000000000000000000 (/.f64 (pow.f64 y 2) x)))
(+.f64 (.f64 -230520110316265459487628991262802136350644949140489346799041/10000000000000000000000000000000000000000000000000000000000000000 (/.f64 (pow.f64 y 4) (pow.f64 x 3))) (+.f64 (.f64 -332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 -480125098611044764748221188321/100000000000000000000000000000000 (/.f64 (pow.f64 y 2) x))))
(+.f64 (.f64 -230520110316265459487628991262802136350644949140489346799041/10000000000000000000000000000000000000000000000000000000000000000 (/.f64 (pow.f64 y 4) (pow.f64 x 3))) (+.f64 (.f64 -332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 -480125098611044764748221188321/100000000000000000000000000000000 (/.f64 (pow.f64 y 2) x)) (.f64 -159729827788075863456687646130058533347913118522514412003310526883384278449/100000000000000000000000000000000000000000000000000000000000000000000000000000000 (/.f64 (pow.f64 y 5) (pow.f64 x 4))))))
(*.f64 692910599291889/10000000000000000 y)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (.f64 10000000000000000/692910599291889 (/.f64 (pow.f64 x 2) y)) (+.f64 (.f64 692910599291889/10000000000000000 y) x))
(+.f64 (.f64 100000000000000000000000000000000/480125098611044764748221188321 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (.f64 10000000000000000/692910599291889 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 692910599291889/10000000000000000 y) x)))
(*.f64 692910599291889/10000000000000000 y)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (.f64 10000000000000000/692910599291889 (/.f64 (pow.f64 x 2) y)) (+.f64 (.f64 692910599291889/10000000000000000 y) x))
(+.f64 (.f64 100000000000000000000000000000000/480125098611044764748221188321 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (.f64 10000000000000000/692910599291889 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 692910599291889/10000000000000000 y) x)))
(*.f64 692910599291889/10000000000000000 y)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (.f64 10000000000000000/692910599291889 (/.f64 (pow.f64 x 2) y)) (+.f64 (.f64 692910599291889/10000000000000000 y) x))
(+.f64 (.f64 100000000000000000000000000000000/480125098611044764748221188321 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (.f64 10000000000000000/692910599291889 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 692910599291889/10000000000000000 y) x)))
(*.f64 -480125098611044764748221188321/100000000000000000000000000000000 (/.f64 (pow.f64 y 2) x))
(+.f64 (.f64 -332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (.f64 -480125098611044764748221188321/100000000000000000000000000000000 (/.f64 (pow.f64 y 2) x)))
(+.f64 (.f64 -230520110316265459487628991262802136350644949140489346799041/10000000000000000000000000000000000000000000000000000000000000000 (/.f64 (pow.f64 y 4) (pow.f64 x 3))) (+.f64 (.f64 -332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 -480125098611044764748221188321/100000000000000000000000000000000 (/.f64 (pow.f64 y 2) x))))
(+.f64 (.f64 -230520110316265459487628991262802136350644949140489346799041/10000000000000000000000000000000000000000000000000000000000000000 (/.f64 (pow.f64 y 4) (pow.f64 x 3))) (+.f64 (.f64 -332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 -480125098611044764748221188321/100000000000000000000000000000000 (/.f64 (pow.f64 y 2) x)) (.f64 -159729827788075863456687646130058533347913118522514412003310526883384278449/100000000000000000000000000000000000000000000000000000000000000000000000000000000 (/.f64 (pow.f64 y 5) (pow.f64 x 4))))))
(*.f64 -480125098611044764748221188321/100000000000000000000000000000000 (/.f64 (pow.f64 y 2) x))
(+.f64 (.f64 -332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (.f64 -480125098611044764748221188321/100000000000000000000000000000000 (/.f64 (pow.f64 y 2) x)))
(+.f64 (.f64 -230520110316265459487628991262802136350644949140489346799041/10000000000000000000000000000000000000000000000000000000000000000 (/.f64 (pow.f64 y 4) (pow.f64 x 3))) (+.f64 (.f64 -332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 -480125098611044764748221188321/100000000000000000000000000000000 (/.f64 (pow.f64 y 2) x))))
(+.f64 (.f64 -230520110316265459487628991262802136350644949140489346799041/10000000000000000000000000000000000000000000000000000000000000000 (/.f64 (pow.f64 y 4) (pow.f64 x 3))) (+.f64 (.f64 -332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (.f64 -480125098611044764748221188321/100000000000000000000000000000000 (/.f64 (pow.f64 y 2) x)) (.f64 -159729827788075863456687646130058533347913118522514412003310526883384278449/100000000000000000000000000000000000000000000000000000000000000000000000000000000 (/.f64 (pow.f64 y 5) (pow.f64 x 4))))))
(*.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 y 2))
(*.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 y 2))
(*.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 y 2))
(*.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 y 2))
(*.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 y 2))
(*.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 y 2))
(*.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 y 2))
(*.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 y 2))
(*.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 y 2))
(*.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 y 2))
(*.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 y 2))
(*.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 y 2))
(/.f64 -1 x)
(-.f64 (*.f64 -692910599291889/10000000000000000 (/.f64 y (pow.f64 x 2))) (/.f64 1 x))
(-.f64 (+.f64 (.f64 -692910599291889/10000000000000000 (/.f64 y (pow.f64 x 2))) (.f64 -480125098611044764748221188321/100000000000000000000000000000000 (/.f64 (pow.f64 y 2) (pow.f64 x 3)))) (/.f64 1 x))
(-.f64 (+.f64 (.f64 -692910599291889/10000000000000000 (/.f64 y (pow.f64 x 2))) (+.f64 (.f64 -332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (/.f64 (pow.f64 y 3) (pow.f64 x 4))) (*.f64 -480125098611044764748221188321/100000000000000000000000000000000 (/.f64 (pow.f64 y 2) (pow.f64 x 3))))) (/.f64 1 x))
(/.f64 10000000000000000/692910599291889 y)
(+.f64 (.f64 10000000000000000/692910599291889 (/.f64 1 y)) (.f64 100000000000000000000000000000000/480125098611044764748221188321 (/.f64 x (pow.f64 y 2))))
(+.f64 (.f64 10000000000000000/692910599291889 (/.f64 1 y)) (+.f64 (.f64 1000000000000000000000000000000000000000000000000/332683769813656330865983273121589448716828369 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (*.f64 100000000000000000000000000000000/480125098611044764748221188321 (/.f64 x (pow.f64 y 2)))))
(+.f64 (.f64 10000000000000000/692910599291889 (/.f64 1 y)) (+.f64 (.f64 1000000000000000000000000000000000000000000000000/332683769813656330865983273121589448716828369 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (+.f64 (.f64 100000000000000000000000000000000/480125098611044764748221188321 (/.f64 x (pow.f64 y 2))) (.f64 10000000000000000000000000000000000000000000000000000000000000000/230520110316265459487628991262802136350644949140489346799041 (/.f64 (pow.f64 x 3) (pow.f64 y 4))))))
(/.f64 10000000000000000/692910599291889 y)
(+.f64 (.f64 10000000000000000/692910599291889 (/.f64 1 y)) (.f64 100000000000000000000000000000000/480125098611044764748221188321 (/.f64 x (pow.f64 y 2))))
(+.f64 (.f64 10000000000000000/692910599291889 (/.f64 1 y)) (+.f64 (.f64 1000000000000000000000000000000000000000000000000/332683769813656330865983273121589448716828369 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (*.f64 100000000000000000000000000000000/480125098611044764748221188321 (/.f64 x (pow.f64 y 2)))))
(+.f64 (.f64 10000000000000000/692910599291889 (/.f64 1 y)) (+.f64 (.f64 1000000000000000000000000000000000000000000000000/332683769813656330865983273121589448716828369 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (+.f64 (.f64 100000000000000000000000000000000/480125098611044764748221188321 (/.f64 x (pow.f64 y 2))) (.f64 10000000000000000000000000000000000000000000000000000000000000000/230520110316265459487628991262802136350644949140489346799041 (/.f64 (pow.f64 x 3) (pow.f64 y 4))))))
(/.f64 10000000000000000/692910599291889 y)
(+.f64 (.f64 10000000000000000/692910599291889 (/.f64 1 y)) (.f64 100000000000000000000000000000000/480125098611044764748221188321 (/.f64 x (pow.f64 y 2))))
(+.f64 (.f64 10000000000000000/692910599291889 (/.f64 1 y)) (+.f64 (.f64 1000000000000000000000000000000000000000000000000/332683769813656330865983273121589448716828369 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (*.f64 100000000000000000000000000000000/480125098611044764748221188321 (/.f64 x (pow.f64 y 2)))))
(+.f64 (.f64 10000000000000000/692910599291889 (/.f64 1 y)) (+.f64 (.f64 1000000000000000000000000000000000000000000000000/332683769813656330865983273121589448716828369 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (+.f64 (.f64 100000000000000000000000000000000/480125098611044764748221188321 (/.f64 x (pow.f64 y 2))) (.f64 10000000000000000000000000000000000000000000000000000000000000000/230520110316265459487628991262802136350644949140489346799041 (/.f64 (pow.f64 x 3) (pow.f64 y 4))))))
(/.f64 -1 x)
(-.f64 (*.f64 -692910599291889/10000000000000000 (/.f64 y (pow.f64 x 2))) (/.f64 1 x))
(-.f64 (+.f64 (.f64 -692910599291889/10000000000000000 (/.f64 y (pow.f64 x 2))) (.f64 -480125098611044764748221188321/100000000000000000000000000000000 (/.f64 (pow.f64 y 2) (pow.f64 x 3)))) (/.f64 1 x))
(-.f64 (+.f64 (.f64 -692910599291889/10000000000000000 (/.f64 y (pow.f64 x 2))) (+.f64 (.f64 -332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (/.f64 (pow.f64 y 3) (pow.f64 x 4))) (*.f64 -480125098611044764748221188321/100000000000000000000000000000000 (/.f64 (pow.f64 y 2) (pow.f64 x 3))))) (/.f64 1 x))
(/.f64 -1 x)
(-.f64 (*.f64 -692910599291889/10000000000000000 (/.f64 y (pow.f64 x 2))) (/.f64 1 x))
(-.f64 (+.f64 (.f64 -692910599291889/10000000000000000 (/.f64 y (pow.f64 x 2))) (.f64 -480125098611044764748221188321/100000000000000000000000000000000 (/.f64 (pow.f64 y 2) (pow.f64 x 3)))) (/.f64 1 x))
(-.f64 (+.f64 (.f64 -692910599291889/10000000000000000 (/.f64 y (pow.f64 x 2))) (+.f64 (.f64 -332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (/.f64 (pow.f64 y 3) (pow.f64 x 4))) (*.f64 -480125098611044764748221188321/100000000000000000000000000000000 (/.f64 (pow.f64 y 2) (pow.f64 x 3))))) (/.f64 1 x))

Outputs
(*.f64 -480125098611044764748221188321/100000000000000000000000000000000 (/.f64 (pow.f64 y 2) x))
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(-.f64 (fma.f64 -692910599291889/10000000000000000 (/.f64 y (.f64 x x)) (.f64 -480125098611044764748221188321/100000000000000000000000000000000 (/.f64 (*.f64 y y) (pow.f64 x 3)))) (/.f64 1 x))
(fma.f64 -692910599291889/10000000000000000 (/.f64 y (*.f64 x x)) (fma.f64 -480125098611044764748221188321/100000000000000000000000000000000 (/.f64 y (/.f64 (pow.f64 x 3) y)) (/.f64 -1 x)))
(fma.f64 -480125098611044764748221188321/100000000000000000000000000000000 (.f64 (/.f64 y (pow.f64 x 3)) y) (fma.f64 -692910599291889/10000000000000000 (/.f64 y (.f64 x x)) (/.f64 -1 x)))
(+.f64 (.f64 (/.f64 (/.f64 y x) x) (+.f64 -692910599291889/10000000000000000 (/.f64 (.f64 -480125098611044764748221188321/100000000000000000000000000000000 y) x))) (/.f64 -1 x))
(fma.f64 (/.f64 (/.f64 y x) x) (+.f64 -692910599291889/10000000000000000 (/.f64 (*.f64 -480125098611044764748221188321/100000000000000000000000000000000 y) x)) (/.f64 -1 x))
(-.f64 (+.f64 (.f64 -692910599291889/10000000000000000 (/.f64 y (pow.f64 x 2))) (+.f64 (.f64 -332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (/.f64 (pow.f64 y 3) (pow.f64 x 4))) (*.f64 -480125098611044764748221188321/100000000000000000000000000000000 (/.f64 (pow.f64 y 2) (pow.f64 x 3))))) (/.f64 1 x))
(-.f64 (fma.f64 -692910599291889/10000000000000000 (/.f64 y (.f64 x x)) (fma.f64 -332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (.f64 -480125098611044764748221188321/100000000000000000000000000000000 (/.f64 (*.f64 y y) (pow.f64 x 3))))) (/.f64 1 x))
(+.f64 (fma.f64 -480125098611044764748221188321/100000000000000000000000000000000 (/.f64 y (/.f64 (pow.f64 x 3) y)) (.f64 -332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (/.f64 (pow.f64 y 3) (pow.f64 x 4)))) (fma.f64 -692910599291889/10000000000000000 (/.f64 y (.f64 x x)) (/.f64 -1 x)))
(fma.f64 -692910599291889/10000000000000000 (/.f64 y (.f64 x x)) (fma.f64 -480125098611044764748221188321/100000000000000000000000000000000 (.f64 (/.f64 y (pow.f64 x 3)) y) (fma.f64 -332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (/.f64 -1 x))))
(+.f64 (.f64 (/.f64 (/.f64 y x) x) (+.f64 -692910599291889/10000000000000000 (/.f64 (.f64 -480125098611044764748221188321/100000000000000000000000000000000 y) x))) (fma.f64 (/.f64 -332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 x) (pow.f64 (/.f64 y x) 3) (/.f64 -1 x)))
(fma.f64 y (/.f64 -692910599291889/10000000000000000 (.f64 x x)) (fma.f64 (/.f64 (.f64 y y) (pow.f64 x 3)) (+.f64 -480125098611044764748221188321/100000000000000000000000000000000 (/.f64 (*.f64 y -332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) x)) (/.f64 -1 x)))
(/.f64 -1 x)
(-.f64 (*.f64 -692910599291889/10000000000000000 (/.f64 y (pow.f64 x 2))) (/.f64 1 x))
(-.f64 (/.f64 (.f64 -692910599291889/10000000000000000 y) (.f64 x x)) (/.f64 1 x))
(fma.f64 -692910599291889/10000000000000000 (/.f64 y (*.f64 x x)) (/.f64 -1 x))
(fma.f64 (/.f64 y x) (/.f64 -692910599291889/10000000000000000 x) (/.f64 -1 x))
(-.f64 (+.f64 (.f64 -692910599291889/10000000000000000 (/.f64 y (pow.f64 x 2))) (.f64 -480125098611044764748221188321/100000000000000000000000000000000 (/.f64 (pow.f64 y 2) (pow.f64 x 3)))) (/.f64 1 x))
(-.f64 (fma.f64 -692910599291889/10000000000000000 (/.f64 y (.f64 x x)) (.f64 -480125098611044764748221188321/100000000000000000000000000000000 (/.f64 (*.f64 y y) (pow.f64 x 3)))) (/.f64 1 x))
(fma.f64 -692910599291889/10000000000000000 (/.f64 y (*.f64 x x)) (fma.f64 -480125098611044764748221188321/100000000000000000000000000000000 (/.f64 y (/.f64 (pow.f64 x 3) y)) (/.f64 -1 x)))
(fma.f64 -480125098611044764748221188321/100000000000000000000000000000000 (.f64 (/.f64 y (pow.f64 x 3)) y) (fma.f64 -692910599291889/10000000000000000 (/.f64 y (.f64 x x)) (/.f64 -1 x)))
(+.f64 (.f64 (/.f64 (/.f64 y x) x) (+.f64 -692910599291889/10000000000000000 (/.f64 (.f64 -480125098611044764748221188321/100000000000000000000000000000000 y) x))) (/.f64 -1 x))
(fma.f64 (/.f64 (/.f64 y x) x) (+.f64 -692910599291889/10000000000000000 (/.f64 (*.f64 -480125098611044764748221188321/100000000000000000000000000000000 y) x)) (/.f64 -1 x))
(-.f64 (+.f64 (.f64 -692910599291889/10000000000000000 (/.f64 y (pow.f64 x 2))) (+.f64 (.f64 -332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (/.f64 (pow.f64 y 3) (pow.f64 x 4))) (*.f64 -480125098611044764748221188321/100000000000000000000000000000000 (/.f64 (pow.f64 y 2) (pow.f64 x 3))))) (/.f64 1 x))
(-.f64 (fma.f64 -692910599291889/10000000000000000 (/.f64 y (.f64 x x)) (fma.f64 -332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (.f64 -480125098611044764748221188321/100000000000000000000000000000000 (/.f64 (*.f64 y y) (pow.f64 x 3))))) (/.f64 1 x))
(+.f64 (fma.f64 -480125098611044764748221188321/100000000000000000000000000000000 (/.f64 y (/.f64 (pow.f64 x 3) y)) (.f64 -332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (/.f64 (pow.f64 y 3) (pow.f64 x 4)))) (fma.f64 -692910599291889/10000000000000000 (/.f64 y (.f64 x x)) (/.f64 -1 x)))
(fma.f64 -692910599291889/10000000000000000 (/.f64 y (.f64 x x)) (fma.f64 -480125098611044764748221188321/100000000000000000000000000000000 (.f64 (/.f64 y (pow.f64 x 3)) y) (fma.f64 -332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (/.f64 -1 x))))
(+.f64 (.f64 (/.f64 (/.f64 y x) x) (+.f64 -692910599291889/10000000000000000 (/.f64 (.f64 -480125098611044764748221188321/100000000000000000000000000000000 y) x))) (fma.f64 (/.f64 -332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 x) (pow.f64 (/.f64 y x) 3) (/.f64 -1 x)))
(fma.f64 y (/.f64 -692910599291889/10000000000000000 (.f64 x x)) (fma.f64 (/.f64 (.f64 y y) (pow.f64 x 3)) (+.f64 -480125098611044764748221188321/100000000000000000000000000000000 (/.f64 (*.f64 y -332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) x)) (/.f64 -1 x)))

localize42.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.5b	(*.f64 692910599291889/10000000000000000 z)
✓	0.6b	(/.f64 11167812716741/40000000000000 z)
✓	4.8b	(.f64 (+.f64 (/.f64 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))) (/.f64 (/.f64 11167812716741/40000000000000 z) z)) y)
	17.9b	(/.f64 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z)))

Compiler

Compiled 107 to 76 computations (29% saved)

series5.0ms (0%)

Counts

2 → 24

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	(.f64 (+.f64 (/.f64 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))) (/.f64 (/.f64 11167812716741/40000000000000 z) z)) y)
1.0ms	z	@	0	(.f64 (+.f64 (/.f64 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))) (/.f64 (/.f64 11167812716741/40000000000000 z) z)) y)
1.0ms	y	@	inf	(.f64 (+.f64 (/.f64 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))) (/.f64 (/.f64 11167812716741/40000000000000 z) z)) y)
0.0ms	y	@	-inf	(.f64 (+.f64 (/.f64 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))) (/.f64 (/.f64 11167812716741/40000000000000 z) z)) y)
0.0ms	z	@	inf	(.f64 (+.f64 (/.f64 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))) (/.f64 (/.f64 11167812716741/40000000000000 z) z)) y)

rewrite117.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

406×	`expm1-udef_binary64`
406×	`log1p-udef_binary64`
230×	`add-sqr-sqrt_binary64`
218×	`*-un-lft-identity_binary64`
218×	`pow1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	38
1	449	34
2	6730	34

Stop Event

1×	node limit

Counts

2 → 47

Calls

Call 1

Inputs

(*.f64 (+.f64 (/.f64 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z) (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 6012459259764103/1000000000000000 z) z))) (/.f64 (/.f64 11167812716741/40000000000000 z) z)) y)

(/.f64 11167812716741/40000000000000 z)

Outputs

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(/.f64 11167812716741/40000000000000 z) z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 (*.f64 (/.f64 (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) z) (/.f64 (/.f64 11167812716741/40000000000000 z) z)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 (*.f64 (/.f64 (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) z) (/.f64 (/.f64 11167812716741/40000000000000 z) z)) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 (*.f64 (/.f64 (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) z) (/.f64 (/.f64 11167812716741/40000000000000 z) z)) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (+.f64 (*.f64 (/.f64 (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) z) (/.f64 (/.f64 11167812716741/40000000000000 z) z)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 (*.f64 (/.f64 (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) z) (/.f64 (/.f64 11167812716741/40000000000000 z) z)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 (*.f64 (/.f64 (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) z) (/.f64 (/.f64 11167812716741/40000000000000 z) z)) y)))))) (#(struct:change 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 11167812716741/40000000000000 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 11167812716741/40000000000000 (/.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 11167812716741/40000000000000 z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 11167812716741/40000000000000 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 11167812716741/40000000000000 z)) (cbrt.f64 (pow.f64 (/.f64 11167812716741/40000000000000 z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 11167812716741/40000000000000 z) 2)) (cbrt.f64 (/.f64 11167812716741/40000000000000 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 11167812716741/40000000000000 z)) (sqrt.f64 (/.f64 11167812716741/40000000000000 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -11167812716741/40000000000000 (/.f64 1 (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 z) 11167812716741/40000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 11167812716741/40000000000000 z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 11167812716741/40000000000000 z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 11167812716741/40000000000000 z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 11167812716741/40000000000000 z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z 40000000000000/11167812716741) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 11167812716741/40000000000000 z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 11167812716741/40000000000000 z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 11167812716741/40000000000000 z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 11167812716741/40000000000000 z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 11167812716741/40000000000000 z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 11167812716741/40000000000000 z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 11167812716741/40000000000000 z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 11167812716741/40000000000000 z)) 1))))))

simplify80.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

720×	`fma-def_binary64`
644×	`associate-/l*_binary64`
628×	`associate-/r*_binary64`
563×	`associate-/l/_binary64`
417×	`distribute-lft-out_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	50	633
1	127	585
2	335	542
3	1031	525
4	3430	524
5	7786	524

Stop Event

1×	node limit

Counts

71 → 65

Calls

Call 1

Inputs
(*.f64 11167812716741/40000000000000 (/.f64 y (pow.f64 z 2)))
(+.f64 (.f64 307332350656623/2093964884388940 (.f64 y z)) (*.f64 11167812716741/40000000000000 (/.f64 y (pow.f64 z 2))))
(+.f64 (.f64 -1702730191236670109104688273403/7015502299286378976187510917760 (.f64 y (pow.f64 z 2))) (+.f64 (.f64 307332350656623/2093964884388940 (.f64 y z)) (*.f64 11167812716741/40000000000000 (/.f64 y (pow.f64 z 2)))))
(+.f64 (.f64 9207926865002136307543746230715810412149052509/23504344737688872479899142880247075897909719040 (.f64 y (pow.f64 z 3))) (+.f64 (.f64 -1702730191236670109104688273403/7015502299286378976187510917760 (.f64 y (pow.f64 z 2))) (+.f64 (.f64 307332350656623/2093964884388940 (.f64 y z)) (*.f64 11167812716741/40000000000000 (/.f64 y (pow.f64 z 2))))))
(*.f64 692910599291889/10000000000000000 y)
(+.f64 (.f64 692910599291889/10000000000000000 y) (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)))
(+.f64 (.f64 -4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (/.f64 y (pow.f64 z 2))) (+.f64 (.f64 692910599291889/10000000000000000 y) (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))))
(+.f64 (.f64 38597391810486664391914000649665904549915271947668467379916697/10000000000000000000000000000000000000000000000000000000000000 (/.f64 y (pow.f64 z 3))) (+.f64 (.f64 -4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (/.f64 y (pow.f64 z 2))) (+.f64 (.f64 692910599291889/10000000000000000 y) (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)))))
(*.f64 692910599291889/10000000000000000 y)
(+.f64 (.f64 692910599291889/10000000000000000 y) (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)))
(+.f64 (.f64 -4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (/.f64 y (pow.f64 z 2))) (+.f64 (.f64 692910599291889/10000000000000000 y) (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))))
(+.f64 (.f64 38597391810486664391914000649665904549915271947668467379916697/10000000000000000000000000000000000000000000000000000000000000 (/.f64 y (pow.f64 z 3))) (+.f64 (.f64 -4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (/.f64 y (pow.f64 z 2))) (+.f64 (.f64 692910599291889/10000000000000000 y) (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)))))
(.f64 y (+.f64 (/.f64 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))) (*.f64 11167812716741/40000000000000 (/.f64 1 (pow.f64 z 2)))))
(.f64 y (+.f64 (/.f64 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))) (*.f64 11167812716741/40000000000000 (/.f64 1 (pow.f64 z 2)))))
(.f64 y (+.f64 (/.f64 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))) (*.f64 11167812716741/40000000000000 (/.f64 1 (pow.f64 z 2)))))
(.f64 y (+.f64 (/.f64 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))) (*.f64 11167812716741/40000000000000 (/.f64 1 (pow.f64 z 2)))))
(.f64 y (+.f64 (/.f64 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))) (*.f64 11167812716741/40000000000000 (/.f64 1 (pow.f64 z 2)))))
(.f64 y (+.f64 (/.f64 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))) (*.f64 11167812716741/40000000000000 (/.f64 1 (pow.f64 z 2)))))
(.f64 y (+.f64 (/.f64 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))) (*.f64 11167812716741/40000000000000 (/.f64 1 (pow.f64 z 2)))))
(.f64 y (+.f64 (/.f64 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))) (*.f64 11167812716741/40000000000000 (/.f64 1 (pow.f64 z 2)))))
(.f64 y (+.f64 (/.f64 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))) (*.f64 11167812716741/40000000000000 (/.f64 1 (pow.f64 z 2)))))
(.f64 y (+.f64 (/.f64 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))) (*.f64 11167812716741/40000000000000 (/.f64 1 (pow.f64 z 2)))))
(.f64 y (+.f64 (/.f64 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))) (*.f64 11167812716741/40000000000000 (/.f64 1 (pow.f64 z 2)))))
(.f64 y (+.f64 (/.f64 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))) (*.f64 11167812716741/40000000000000 (/.f64 1 (pow.f64 z 2)))))

Outputs
(*.f64 11167812716741/40000000000000 (/.f64 y (pow.f64 z 2)))
(.f64 11167812716741/40000000000000 (/.f64 y (.f64 z z)))
(.f64 y (/.f64 11167812716741/40000000000000 (.f64 z z)))
(*.f64 (/.f64 y z) (/.f64 11167812716741/40000000000000 z))
(+.f64 (.f64 307332350656623/2093964884388940 (.f64 y z)) (*.f64 11167812716741/40000000000000 (/.f64 y (pow.f64 z 2))))
(fma.f64 307332350656623/2093964884388940 (.f64 y z) (.f64 11167812716741/40000000000000 (/.f64 y (*.f64 z z))))
(fma.f64 11167812716741/40000000000000 (/.f64 y (.f64 z z)) (.f64 y (*.f64 z 307332350656623/2093964884388940)))
(.f64 y (+.f64 (/.f64 11167812716741/40000000000000 (.f64 z z)) (*.f64 z 307332350656623/2093964884388940)))
(.f64 y (fma.f64 z 307332350656623/2093964884388940 (/.f64 11167812716741/40000000000000 (.f64 z z))))
(+.f64 (.f64 -1702730191236670109104688273403/7015502299286378976187510917760 (.f64 y (pow.f64 z 2))) (+.f64 (.f64 307332350656623/2093964884388940 (.f64 y z)) (*.f64 11167812716741/40000000000000 (/.f64 y (pow.f64 z 2)))))
(fma.f64 -1702730191236670109104688273403/7015502299286378976187510917760 (.f64 y (.f64 z z)) (fma.f64 307332350656623/2093964884388940 (.f64 y z) (.f64 11167812716741/40000000000000 (/.f64 y (*.f64 z z)))))
(fma.f64 -1702730191236670109104688273403/7015502299286378976187510917760 (.f64 y (.f64 z z)) (fma.f64 11167812716741/40000000000000 (/.f64 y (.f64 z z)) (.f64 y (*.f64 z 307332350656623/2093964884388940))))
(fma.f64 11167812716741/40000000000000 (/.f64 y (.f64 z z)) (.f64 y (+.f64 (.f64 z 307332350656623/2093964884388940) (.f64 z (*.f64 z -1702730191236670109104688273403/7015502299286378976187510917760)))))
(.f64 y (+.f64 (/.f64 11167812716741/40000000000000 (.f64 z z)) (.f64 z (+.f64 307332350656623/2093964884388940 (.f64 z -1702730191236670109104688273403/7015502299286378976187510917760)))))
(+.f64 (.f64 9207926865002136307543746230715810412149052509/23504344737688872479899142880247075897909719040 (.f64 y (pow.f64 z 3))) (+.f64 (.f64 -1702730191236670109104688273403/7015502299286378976187510917760 (.f64 y (pow.f64 z 2))) (+.f64 (.f64 307332350656623/2093964884388940 (.f64 y z)) (*.f64 11167812716741/40000000000000 (/.f64 y (pow.f64 z 2))))))
(fma.f64 9207926865002136307543746230715810412149052509/23504344737688872479899142880247075897909719040 (.f64 y (pow.f64 z 3)) (fma.f64 -1702730191236670109104688273403/7015502299286378976187510917760 (.f64 y (.f64 z z)) (fma.f64 307332350656623/2093964884388940 (.f64 y z) (.f64 11167812716741/40000000000000 (/.f64 y (.f64 z z))))))
(fma.f64 9207926865002136307543746230715810412149052509/23504344737688872479899142880247075897909719040 (.f64 y (pow.f64 z 3)) (fma.f64 -1702730191236670109104688273403/7015502299286378976187510917760 (.f64 y (.f64 z z)) (fma.f64 11167812716741/40000000000000 (/.f64 y (.f64 z z)) (.f64 y (.f64 z 307332350656623/2093964884388940)))))
(fma.f64 y (.f64 9207926865002136307543746230715810412149052509/23504344737688872479899142880247075897909719040 (pow.f64 z 3)) (fma.f64 11167812716741/40000000000000 (/.f64 y (.f64 z z)) (.f64 y (+.f64 (.f64 z 307332350656623/2093964884388940) (.f64 z (.f64 z -1702730191236670109104688273403/7015502299286378976187510917760))))))
(.f64 y (+.f64 (.f64 (.f64 z z) (+.f64 -1702730191236670109104688273403/7015502299286378976187510917760 (.f64 z 9207926865002136307543746230715810412149052509/23504344737688872479899142880247075897909719040))) (fma.f64 z 307332350656623/2093964884388940 (/.f64 11167812716741/40000000000000 (*.f64 z z)))))
(.f64 y (+.f64 (/.f64 11167812716741/40000000000000 (.f64 z z)) (.f64 z (+.f64 (.f64 z (+.f64 -1702730191236670109104688273403/7015502299286378976187510917760 (*.f64 z 9207926865002136307543746230715810412149052509/23504344737688872479899142880247075897909719040))) 307332350656623/2093964884388940))))
(*.f64 692910599291889/10000000000000000 y)
(*.f64 y 692910599291889/10000000000000000)
(+.f64 (.f64 692910599291889/10000000000000000 y) (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)))
(fma.f64 692910599291889/10000000000000000 y (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)))
(fma.f64 y 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 z y)))
(fma.f64 y 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)))
(*.f64 y (+.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 692910599291889/10000000000000000))
(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))
(+.f64 (.f64 -4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (/.f64 y (pow.f64 z 2))) (+.f64 (.f64 692910599291889/10000000000000000 y) (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))))
(fma.f64 -4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (/.f64 y (.f64 z z)) (fma.f64 692910599291889/10000000000000000 y (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))))
(fma.f64 (/.f64 y (*.f64 z z)) -4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (fma.f64 y 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 z y))))
(fma.f64 y 692910599291889/10000000000000000 (*.f64 (/.f64 y z) (+.f64 (/.f64 -4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 z) 751220861604756070699018739433/10000000000000000000000000000000)))
(fma.f64 (/.f64 y z) (+.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 -4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 z)) (*.f64 y 692910599291889/10000000000000000))
(+.f64 (.f64 38597391810486664391914000649665904549915271947668467379916697/10000000000000000000000000000000000000000000000000000000000000 (/.f64 y (pow.f64 z 3))) (+.f64 (.f64 -4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (/.f64 y (pow.f64 z 2))) (+.f64 (.f64 692910599291889/10000000000000000 y) (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)))))
(fma.f64 38597391810486664391914000649665904549915271947668467379916697/10000000000000000000000000000000000000000000000000000000000000 (/.f64 y (pow.f64 z 3)) (fma.f64 -4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (/.f64 y (.f64 z z)) (fma.f64 692910599291889/10000000000000000 y (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)))))
(fma.f64 38597391810486664391914000649665904549915271947668467379916697/10000000000000000000000000000000000000000000000000000000000000 (/.f64 y (pow.f64 z 3)) (fma.f64 (/.f64 y (*.f64 z z)) -4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (fma.f64 y 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 z y)))))
(fma.f64 38597391810486664391914000649665904549915271947668467379916697/10000000000000000000000000000000000000000000000000000000000000 (/.f64 y (pow.f64 z 3)) (fma.f64 y 692910599291889/10000000000000000 (*.f64 (/.f64 y z) (+.f64 (/.f64 -4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 z) 751220861604756070699018739433/10000000000000000000000000000000))))
(fma.f64 (/.f64 y (.f64 z z)) (+.f64 -4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (/.f64 38597391810486664391914000649665904549915271947668467379916697/10000000000000000000000000000000000000000000000000000000000000 z)) (.f64 y (+.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 692910599291889/10000000000000000)))
(fma.f64 y 692910599291889/10000000000000000 (.f64 (/.f64 y z) (+.f64 (/.f64 -4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 z) (+.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 38597391810486664391914000649665904549915271947668467379916697/10000000000000000000000000000000000000000000000000000000000000 (.f64 z z))))))
(*.f64 692910599291889/10000000000000000 y)
(*.f64 y 692910599291889/10000000000000000)
(+.f64 (.f64 692910599291889/10000000000000000 y) (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)))
(fma.f64 692910599291889/10000000000000000 y (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)))
(fma.f64 y 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 z y)))
(fma.f64 y 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)))
(*.f64 y (+.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 692910599291889/10000000000000000))
(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))
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localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (pow.f64 (sqrt.f64 (*.f64 279195317918525/3350343815022304 y)) 2) x)
✓	0.1b	(sqrt.f64 (*.f64 279195317918525/3350343815022304 y))
	0.2b	(*.f64 279195317918525/3350343815022304 y)
✓	0.3b	(pow.f64 (sqrt.f64 (*.f64 279195317918525/3350343815022304 y)) 2)

Compiler

Compiled 28 to 21 computations (25% saved)

series10.0ms (0.1%)

Counts

3 → 13

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	y	@	0	(pow.f64 (sqrt.f64 (*.f64 279195317918525/3350343815022304 y)) 2)
1.0ms	y	@	0	(sqrt.f64 (*.f64 279195317918525/3350343815022304 y))
1.0ms	y	@	-inf	(pow.f64 (sqrt.f64 (*.f64 279195317918525/3350343815022304 y)) 2)
1.0ms	y	@	inf	(pow.f64 (sqrt.f64 (*.f64 279195317918525/3350343815022304 y)) 2)
1.0ms	x	@	0	(+.f64 (pow.f64 (sqrt.f64 (*.f64 279195317918525/3350343815022304 y)) 2) x)

rewrite71.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

835×	`pow1_binary64`
783×	`add-log-exp_binary64`
782×	`log1p-expm1-u_binary64`
782×	`expm1-log1p-u_binary64`
766×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	197	15
2	2176	15

Stop Event

1×	node limit

Counts

3 → 82

Calls

Call 1

Inputs
(pow.f64 (sqrt.f64 (*.f64 279195317918525/3350343815022304 y)) 2)
(sqrt.f64 (*.f64 279195317918525/3350343815022304 y))
(+.f64 (pow.f64 (sqrt.f64 (*.f64 279195317918525/3350343815022304 y)) 2) x)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 279195317918525/3350343815022304 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 279195317918525/3350343815022304 y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y 279195317918525/3350343815022304)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 279195317918525/3350343815022304 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 279195317918525/3350343815022304 y)) (sqrt.f64 (*.f64 279195317918525/3350343815022304 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 279195317918525/3350343815022304 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) 279195317918525/3350343815022304))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 279195317918525/3350343815022304 y)) (cbrt.f64 (pow.f64 (*.f64 279195317918525/3350343815022304 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 279195317918525/3350343815022304 y)) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 279195317918525/3350343815022304 y))) (sqrt.f64 (*.f64 279195317918525/3350343815022304 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 279195317918525/3350343815022304 y) 2)) (cbrt.f64 (*.f64 279195317918525/3350343815022304 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 279195317918525/3350343815022304 y) 1/4) (*.f64 (pow.f64 (*.f64 279195317918525/3350343815022304 y) 1/4) (sqrt.f64 (*.f64 279195317918525/3350343815022304 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 279195317918525/3350343815022304) (*.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 279195317918525/3350343815022304 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) 279195317918525/3350343815022304))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 279195317918525/3350343815022304 y)) (pow.f64 (*.f64 279195317918525/3350343815022304 y) 1/4)) (pow.f64 (*.f64 279195317918525/3350343815022304 y) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 279195317918525/3350343815022304) 2) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 279195317918525/3350343815022304 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 279195317918525/3350343815022304 (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 279195317918525/3350343815022304 y)) (cbrt.f64 (*.f64 279195317918525/3350343815022304 y))) (cbrt.f64 (sqrt.f64 (*.f64 279195317918525/3350343815022304 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 279195317918525/3350343815022304 y)) (sqrt.f64 279195317918525/3350343815022304)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 279195317918525/3350343815022304 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 279195317918525/3350343815022304) y))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 279195317918525/3350343815022304 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 279195317918525/3350343815022304 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 279195317918525/3350343815022304 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 279195317918525/3350343815022304 y)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (*.f64 279195317918525/3350343815022304 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 279195317918525/3350343815022304 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 279195317918525/3350343815022304 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 279195317918525/3350343815022304 y))) (cbrt.f64 (*.f64 279195317918525/3350343815022304 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 279195317918525/3350343815022304 y)) (cbrt.f64 (sqrt.f64 (*.f64 279195317918525/3350343815022304 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 279195317918525/3350343815022304 y) 1/4) (pow.f64 (*.f64 279195317918525/3350343815022304 y) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 279195317918525/3350343815022304) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (sqrt.f64 279195317918525/3350343815022304))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 279195317918525/3350343815022304 y) 2))) (sqrt.f64 (cbrt.f64 (*.f64 279195317918525/3350343815022304 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 279195317918525/3350343815022304 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 279195317918525/3350343815022304 y) 2)) 1/2) (pow.f64 (cbrt.f64 (*.f64 279195317918525/3350343815022304 y)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 279195317918525/3350343815022304 y) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 279195317918525/3350343815022304 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 279195317918525/3350343815022304 y) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 279195317918525/3350343815022304 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 279195317918525/3350343815022304 y) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 279195317918525/3350343815022304 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 279195317918525/3350343815022304 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 279195317918525/3350343815022304 y) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 279195317918525/3350343815022304 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 279195317918525/3350343815022304 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 279195317918525/3350343815022304 y))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 279195317918525/3350343815022304 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 279195317918525/3350343815022304 y) 2) (fma.f64 279195317918525/3350343815022304 y (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 279195317918525/3350343815022304 y (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 279195317918525/3350343815022304 y x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 279195317918525/3350343815022304 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 279195317918525/3350343815022304 y x)) (pow.f64 (cbrt.f64 (fma.f64 279195317918525/3350343815022304 y x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 279195317918525/3350343815022304 y x)) 2) (cbrt.f64 (fma.f64 279195317918525/3350343815022304 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 279195317918525/3350343815022304 y x)) (sqrt.f64 (fma.f64 279195317918525/3350343815022304 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 279195317918525/3350343815022304 y) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 279195317918525/3350343815022304 y) 2) (*.f64 x (-.f64 x (*.f64 279195317918525/3350343815022304 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 279195317918525/3350343815022304 y) 2) (*.f64 x x)) (/.f64 1 (fma.f64 279195317918525/3350343815022304 y (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 279195317918525/3350343815022304 y) 2) (*.f64 x (-.f64 x (*.f64 279195317918525/3350343815022304 y)))) (+.f64 (pow.f64 (*.f64 279195317918525/3350343815022304 y) 3) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 279195317918525/3350343815022304 y (neg.f64 x)) (-.f64 (pow.f64 (*.f64 279195317918525/3350343815022304 y) 2) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 279195317918525/3350343815022304 y) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 279195317918525/3350343815022304 y) 2) (*.f64 x (-.f64 x (*.f64 279195317918525/3350343815022304 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 279195317918525/3350343815022304 y) 3) (pow.f64 x 3)) (+.f64 (*.f64 x x) (-.f64 (pow.f64 (*.f64 279195317918525/3350343815022304 y) 2) (*.f64 279195317918525/3350343815022304 (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 279195317918525/3350343815022304 y) 2) (*.f64 x x)) (fma.f64 279195317918525/3350343815022304 y (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 279195317918525/3350343815022304 y) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 279195317918525/3350343815022304 y) 2) (*.f64 x (-.f64 x (*.f64 279195317918525/3350343815022304 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 279195317918525/3350343815022304 y) 2) (*.f64 x x))) (neg.f64 (fma.f64 279195317918525/3350343815022304 y (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 279195317918525/3350343815022304 y) 2)) (-.f64 x (*.f64 279195317918525/3350343815022304 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 279195317918525/3350343815022304 y x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 279195317918525/3350343815022304 y x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 279195317918525/3350343815022304 y x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 279195317918525/3350343815022304 y x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 279195317918525/3350343815022304 y x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 279195317918525/3350343815022304 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 279195317918525/3350343815022304 y x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 279195317918525/3350343815022304 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 279195317918525/3350343815022304 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 279195317918525/3350343815022304 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 279195317918525/3350343815022304 y x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y 279195317918525/3350343815022304 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 279195317918525/3350343815022304 y)) (sqrt.f64 (*.f64 279195317918525/3350343815022304 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 279195317918525/3350343815022304 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 279195317918525/3350343815022304 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 279195317918525/3350343815022304 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (*.f64 279195317918525/3350343815022304 y) 2)) (cbrt.f64 (*.f64 279195317918525/3350343815022304 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 279195317918525/3350343815022304 y))))))

simplify158.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1858×	`unswap-sqr_binary64`
1116×	`sqr-pow_binary64`
530×	`cube-prod_binary64`
524×	`fabs-mul_binary64`
519×	`pow-sqr_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	102
1	17	52
2	30	52
3	49	52
4	97	52
5	271	52
6	976	52
7	1431	52
8	1580	52
9	1735	52
10	1912	52
11	2163	52
12	2512	52
13	2915	52
14	3374	52
15	3926	52
16	4609	52
17	5053	52
18	5293	52
19	5527	52
20	5579	52
21	5601	52
22	6152	52

Stop Event

1×	node limit

Counts

95 → 85

Calls

Call 1

Inputs
x
(*.f64 y (pow.f64 (sqrt.f64 279195317918525/3350343815022304) 2))
(+.f64 (*.f64 y (pow.f64 (sqrt.f64 279195317918525/3350343815022304) 2)) x)
(+.f64 (*.f64 y (pow.f64 (sqrt.f64 279195317918525/3350343815022304) 2)) x)
(+.f64 (*.f64 y (pow.f64 (sqrt.f64 279195317918525/3350343815022304) 2)) x)
x
(+.f64 (*.f64 y (pow.f64 (sqrt.f64 279195317918525/3350343815022304) 2)) x)
(+.f64 (*.f64 y (pow.f64 (sqrt.f64 279195317918525/3350343815022304) 2)) x)
(+.f64 (*.f64 y (pow.f64 (sqrt.f64 279195317918525/3350343815022304) 2)) x)
x
(+.f64 (*.f64 y (pow.f64 (sqrt.f64 279195317918525/3350343815022304) 2)) x)
(+.f64 (*.f64 y (pow.f64 (sqrt.f64 279195317918525/3350343815022304) 2)) x)
(+.f64 (*.f64 y (pow.f64 (sqrt.f64 279195317918525/3350343815022304) 2)) x)

Outputs
x
(*.f64 y (pow.f64 (sqrt.f64 279195317918525/3350343815022304) 2))
(*.f64 y 279195317918525/3350343815022304)
(+.f64 (*.f64 y (pow.f64 (sqrt.f64 279195317918525/3350343815022304) 2)) x)
(fma.f64 y (pow.f64 (sqrt.f64 279195317918525/3350343815022304) 2) x)
(fma.f64 y 279195317918525/3350343815022304 x)
(+.f64 (*.f64 y (pow.f64 (sqrt.f64 279195317918525/3350343815022304) 2)) x)
(fma.f64 y (pow.f64 (sqrt.f64 279195317918525/3350343815022304) 2) x)
(fma.f64 y 279195317918525/3350343815022304 x)
(+.f64 (*.f64 y (pow.f64 (sqrt.f64 279195317918525/3350343815022304) 2)) x)
(fma.f64 y (pow.f64 (sqrt.f64 279195317918525/3350343815022304) 2) x)
(fma.f64 y 279195317918525/3350343815022304 x)
x
(+.f64 (*.f64 y (pow.f64 (sqrt.f64 279195317918525/3350343815022304) 2)) x)
(fma.f64 y (pow.f64 (sqrt.f64 279195317918525/3350343815022304) 2) x)
(fma.f64 y 279195317918525/3350343815022304 x)
(+.f64 (*.f64 y (pow.f64 (sqrt.f64 279195317918525/3350343815022304) 2)) x)
(fma.f64 y (pow.f64 (sqrt.f64 279195317918525/3350343815022304) 2) x)
(fma.f64 y 279195317918525/3350343815022304 x)
(+.f64 (*.f64 y (pow.f64 (sqrt.f64 279195317918525/3350343815022304) 2)) x)
(fma.f64 y (pow.f64 (sqrt.f64 279195317918525/3350343815022304) 2) x)
(fma.f64 y 279195317918525/3350343815022304 x)
x
(+.f64 (*.f64 y (pow.f64 (sqrt.f64 279195317918525/3350343815022304) 2)) x)
(fma.f64 y (pow.f64 (sqrt.f64 279195317918525/3350343815022304) 2) x)
(fma.f64 y 279195317918525/3350343815022304 x)
(+.f64 (*.f64 y (pow.f64 (sqrt.f64 279195317918525/3350343815022304) 2)) x)
(fma.f64 y (pow.f64 (sqrt.f64 279195317918525/3350343815022304) 2) x)
(fma.f64 y 279195317918525/3350343815022304 x)
(+.f64 (*.f64 y (pow.f64 (sqrt.f64 279195317918525/3350343815022304) 2)) x)
(fma.f64 y (pow.f64 (sqrt.f64 279195317918525/3350343815022304) 2) x)
(fma.f64 y 279195317918525/3350343815022304 x)

eval169.0ms (1%)

Compiler: Compiled 7865 to 5486 computations (30.2% saved)

prune88.0ms (0.5%)

Pruning

29 alts after pruning (25 fresh and 4 done)

	Pruned	Kept	Total
New	442	11	453
Fresh	11	14	25
Picked	1	0	1
Done	3	4	7
Total	457	29	486

Error

Counts

486 → 29

Alt Table

Click to see full alt table

Status	Error	Program
	14.4b	(+.f64 x (/.f64 (*.f64 y 11167812716741/40000000000000) 104698244219447/31250000000000))
	14.4b	(fma.f64 (/.f64 y 104698244219447/31250000000000) 11167812716741/40000000000000 x)
	47.2b	(.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))))
	32.6b	x
	42.8b	(+.f64 (fma.f64 y 692910599291889/10000000000000000 x) (.f64 (.f64 x (/.f64 x y)) (+.f64 10000000000000000/692910599291889 (*.f64 x (/.f64 100000000000000000000000000000000/480125098611044764748221188321 y)))))
	38.2b	(/.f64 1 (/.f64 (-.f64 (.f64 279195317918525/3350343815022304 y) x) (-.f64 (pow.f64 (.f64 279195317918525/3350343815022304 y) 2) (*.f64 x x))))
	17.3b	(+.f64 (.f64 (sqrt.f64 (.f64 y (cbrt.f64 y))) (*.f64 (cbrt.f64 y) 692910599291889/10000000000000000)) x)
	30.3b	(+.f64 (sqrt.f64 (.f64 (.f64 y y) 480125098611044764748221188321/100000000000000000000000000000000)) x)
	17.5b	(+.f64 x (pow.f64 (*.f64 40000000000000/11167812716741 (/.f64 (fma.f64 z z 104698244219447/31250000000000) y)) -1))
	54.9b	(pow.f64 (/.f64 (.f64 y 692910599291889/10000000000000000) (sqrt.f64 (-.f64 (.f64 y 692910599291889/10000000000000000) x))) 2)
	37.2b	(+.f64 x (/.f64 (.f64 y (.f64 z (.f64 692910599291889/10000000000000000 z))) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
	47.5b	(.f64 y (+.f64 (.f64 z (+.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320))) 279195317918525/3350343815022304))
	52.2b	(/.f64 (.f64 y y) (/.f64 (-.f64 (.f64 y 692910599291889/10000000000000000) x) 480125098611044764748221188321/100000000000000000000000000000000))
	52.1b	(.f64 (.f64 y (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000)) (/.f64 10000000000000000/692910599291889 y))
	17.6b	(+.f64 x (/.f64 11167812716741/40000000000000 (/.f64 (fma.f64 z (+.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000) y)))
	39.6b	(+.f64 (.f64 (.f64 279195317918525/3350343815022304 (sqrt.f64 y)) (sqrt.f64 y)) x)
✓	14.4b	(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
	47.1b	(.f64 y (+.f64 279195317918525/3350343815022304 (.f64 z -155900051080628738716045985239/56124018394291031809500087342080)))
	29.6b	(+.f64 x (.f64 (/.f64 (.f64 y 11167812716741/40000000000000) (+.f64 1147673082894964476557575335949564252827623/30517578125000000000000000000000000000000 (pow.f64 z 6))) (-.f64 (+.f64 (pow.f64 z 4) 10961722342634967150292985809/976562500000000000000000000) (.f64 z (.f64 z 104698244219447/31250000000000)))))
	45.5b	(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))
	44.1b	(/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
	52.3b	(/.f64 1 (/.f64 (-.f64 (.f64 y 692910599291889/10000000000000000) x) (.f64 y (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000))))
	13.1b	(+.f64 (pow.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 692910599291889/10000000000000000)) 3) x)
	47.1b	(+.f64 (.f64 279195317918525/3350343815022304 y) (.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)))
✓	12.8b	(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
	42.7b	(/.f64 (.f64 y 480125098611044764748221188321/100000000000000000000000000000000) (/.f64 (-.f64 (.f64 y 692910599291889/10000000000000000) x) y))
✓	42.5b	(*.f64 692910599291889/10000000000000000 y)
	54.7b	(pow.f64 (sqrt.f64 (*.f64 279195317918525/3350343815022304 y)) 2)
✓	43.9b	(*.f64 279195317918525/3350343815022304 y)

Compiler

Compiled 380 to 286 computations (24.7% saved)

regimes674.0ms (4%)

Counts

74 → 3

Calls

Call 1

Inputs
x
x
x
(*.f64 692910599291889/10000000000000000 y)
(*.f64 279195317918525/3350343815022304 y)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))
(+.f64 x (/.f64 (*.f64 y 11167812716741/40000000000000) 104698244219447/31250000000000))
(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))
(.f64 y (+.f64 279195317918525/3350343815022304 (.f64 z -155900051080628738716045985239/56124018394291031809500087342080)))
(.f64 (.f64 y (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000)) (/.f64 10000000000000000/692910599291889 y))
(+.f64 (.f64 279195317918525/3350343815022304 y) (.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)))
(+.f64 x (.f64 y (+.f64 279195317918525/3350343815022304 (.f64 z -155900051080628738716045985239/56124018394291031809500087342080))))
(/.f64 (.f64 y y) (/.f64 (-.f64 (.f64 y 692910599291889/10000000000000000) x) 480125098611044764748221188321/100000000000000000000000000000000))
(/.f64 (.f64 y 480125098611044764748221188321/100000000000000000000000000000000) (/.f64 (-.f64 (.f64 y 692910599291889/10000000000000000) x) y))
(.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))))
(.f64 y (+.f64 (.f64 z (+.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320))) 279195317918525/3350343815022304))
(+.f64 x (/.f64 (.f64 y 11167812716741/40000000000000) (+.f64 (.f64 z z) 104698244219447/31250000000000)))
(+.f64 (.f64 692910599291889/10000000000000000 y) (+.f64 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x))
(+.f64 (.f64 279195317918525/3350343815022304 y) (+.f64 (.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) x))
(/.f64 1 (/.f64 (-.f64 (.f64 y 692910599291889/10000000000000000) x) (.f64 y (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000))))
(.f64 (.f64 y (.f64 y 480125098611044764748221188321/100000000000000000000000000000000)) (/.f64 1 (-.f64 (.f64 692910599291889/10000000000000000 y) x)))
(+.f64 x (.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z)))))
(+.f64 x (/.f64 (.f64 y 11167812716741/40000000000000) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(/.f64 (-.f64 (.f64 480125098611044764748221188321/100000000000000000000000000000000 (.f64 y y)) (.f64 x x)) (-.f64 (.f64 692910599291889/10000000000000000 y) x))
(/.f64 1 (/.f64 (-.f64 (.f64 692910599291889/10000000000000000 y) x) (-.f64 (.f64 480125098611044764748221188321/100000000000000000000000000000000 (.f64 y y)) (.f64 x x))))
(.f64 (-.f64 (.f64 (.f64 y y) 480125098611044764748221188321/100000000000000000000000000000000) (.f64 x x)) (/.f64 1 (-.f64 (*.f64 692910599291889/10000000000000000 y) x)))
(+.f64 x (/.f64 (.f64 y (.f64 z (.f64 692910599291889/10000000000000000 z))) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+.f64 x (.f64 y (+.f64 279195317918525/3350343815022304 (.f64 z (+.f64 -155900051080628738716045985239/56124018394291031809500087342080 (.f64 z (+.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (.f64 z -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280))))))))
(.f64 (-.f64 (.f64 (.f64 (.f64 692910599291889/10000000000000000 y) y) 692910599291889/10000000000000000) (.f64 x x)) (/.f64 1 (-.f64 (.f64 692910599291889/10000000000000000 y) x)))
(/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
(/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
(+.f64 x (/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(.f64 (+.f64 (/.f64 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))) (/.f64 (/.f64 11167812716741/40000000000000 z) z)) y)
(.f64 (+.f64 (/.f64 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))) (.f64 11167812716741/40000000000000 (/.f64 1 (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))))) y)
(fma.f64 (/.f64 y 104698244219447/31250000000000) 11167812716741/40000000000000 x)
(+.f64 (sqrt.f64 (.f64 (.f64 y y) 480125098611044764748221188321/100000000000000000000000000000000)) x)
(+.f64 x (/.f64 11167812716741/40000000000000 (/.f64 (fma.f64 z (+.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000) y)))
(/.f64 1 (/.f64 (-.f64 (.f64 692910599291889/10000000000000000 y) x) (-.f64 (pow.f64 (.f64 692910599291889/10000000000000000 y) 2) (*.f64 x x))))
(/.f64 1 (/.f64 (-.f64 (.f64 692910599291889/10000000000000000 y) x) (-.f64 (pow.f64 (.f64 692910599291889/10000000000000000 y) 2) (*.f64 x x))))
(/.f64 1 (/.f64 (-.f64 (.f64 279195317918525/3350343815022304 y) x) (-.f64 (pow.f64 (.f64 279195317918525/3350343815022304 y) 2) (*.f64 x x))))
(.f64 (-.f64 (pow.f64 (.f64 692910599291889/10000000000000000 y) 2) (.f64 x x)) (/.f64 1 (-.f64 (.f64 692910599291889/10000000000000000 y) x)))
(+.f64 (fma.f64 y 692910599291889/10000000000000000 x) (.f64 (.f64 x (/.f64 x y)) (+.f64 10000000000000000/692910599291889 (*.f64 x (/.f64 100000000000000000000000000000000/480125098611044764748221188321 y)))))
(pow.f64 (sqrt.f64 (*.f64 279195317918525/3350343815022304 y)) 2)
(pow.f64 (sqrt.f64 (*.f64 692910599291889/10000000000000000 y)) 2)
(pow.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) 3)
(+.f64 (pow.f64 (sqrt.f64 (*.f64 279195317918525/3350343815022304 y)) 2) x)
(+.f64 (pow.f64 (sqrt.f64 (*.f64 692910599291889/10000000000000000 y)) 2) x)
(+.f64 (pow.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) 3) x)
(+.f64 (cbrt.f64 (*.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000)) x)
(+.f64 (.f64 (.f64 279195317918525/3350343815022304 (sqrt.f64 y)) (sqrt.f64 y)) x)
(+.f64 (.f64 (.f64 692910599291889/10000000000000000 (sqrt.f64 y)) (sqrt.f64 y)) x)
(fma.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 11167812716741/40000000000000 x)
(pow.f64 (/.f64 (.f64 y 692910599291889/10000000000000000) (sqrt.f64 (-.f64 (.f64 y 692910599291889/10000000000000000) x))) 2)
(+.f64 x (pow.f64 (*.f64 40000000000000/11167812716741 (/.f64 (fma.f64 z z 104698244219447/31250000000000) y)) -1))
(+.f64 x (pow.f64 (*.f64 40000000000000/11167812716741 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) y)) -1))
(+.f64 x (.f64 (/.f64 (.f64 y 11167812716741/40000000000000) (+.f64 1147673082894964476557575335949564252827623/30517578125000000000000000000000000000000 (pow.f64 z 6))) (-.f64 (+.f64 (pow.f64 z 4) 10961722342634967150292985809/976562500000000000000000000) (.f64 z (.f64 z 104698244219447/31250000000000)))))
(+.f64 x (/.f64 (.f64 y (+.f64 (.f64 (+.f64 (cbrt.f64 (.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 z 3))) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+.f64 x (.f64 (/.f64 (.f64 y 11167812716741/40000000000000) (+.f64 1147673082894964476557575335949564252827623/30517578125000000000000000000000000000000 (pow.f64 (.f64 z (+.f64 z 6012459259764103/1000000000000000)) 3))) (+.f64 (pow.f64 (.f64 z (+.f64 z 6012459259764103/1000000000000000)) 2) (-.f64 10961722342634967150292985809/976562500000000000000000000 (.f64 (+.f64 z 6012459259764103/1000000000000000) (.f64 z 104698244219447/31250000000000))))))
(+.f64 (pow.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 692910599291889/10000000000000000)) 3) x)
(+.f64 (.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 (cbrt.f64 y) 692910599291889/10000000000000000)) x)
(+.f64 (.f64 (sqrt.f64 (.f64 y (cbrt.f64 y))) (*.f64 (cbrt.f64 y) 692910599291889/10000000000000000)) x)
(fma.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (*.f64 692910599291889/10000000000000000 (pow.f64 z 2)) x)
(/.f64 y (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)))
(+.f64 x (*.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(+.f64 x (.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (.f64 y (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 692910599291889/10000000000000000 y)) 2) (cbrt.f64 (.f64 692910599291889/10000000000000000 y)) x)
(fma.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) x)
(fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)
(+.f64 x (pow.f64 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) -1))
(+.f64 x (/.f64 (/.f64 (.f64 (+.f64 (pow.f64 (.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) -124720040876201995101661081/1600000000000000000000000000) y) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) -11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+.f64 x (pow.f64 (sqrt.f64 (*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) 2))
(fma.f64 y (expm1.f64 (log1p.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))) x)

Outputs

(+.f64 (*.f64 692910599291889/10000000000000000 y) x)

(fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)

(+.f64 (*.f64 692910599291889/10000000000000000 y) x)

Calls

6 calls:

163.0ms	x
130.0ms	y
128.0ms	z
79.0ms	(/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
72.0ms	(+.f64 x (/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))

Results

Error	Segments	Branch
9.6b	4	`x`
11.7b	3	`y`
0.2b	3	`z`
0.2b	2	`(+.f64 x (/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))`
0.2b	2	`(/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))`
0.2b	2	`(/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))`

Compiler

Compiled 1045 to 714 computations (31.7% saved)

bsearch57.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
28.0ms	4.2974891031269454e+119	1.4977097407391617e+150
27.0ms	-2.822842289411817e+25	-6.142403630673802e+24

Compiler

Compiled 30 to 23 computations (23.3% saved)

regimes615.0ms (3.6%)

Counts

69 → 3

Calls

Call 1

Inputs
x
x
x
(*.f64 692910599291889/10000000000000000 y)
(*.f64 279195317918525/3350343815022304 y)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))
(+.f64 x (/.f64 (*.f64 y 11167812716741/40000000000000) 104698244219447/31250000000000))
(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))
(.f64 y (+.f64 279195317918525/3350343815022304 (.f64 z -155900051080628738716045985239/56124018394291031809500087342080)))
(.f64 (.f64 y (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000)) (/.f64 10000000000000000/692910599291889 y))
(+.f64 (.f64 279195317918525/3350343815022304 y) (.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)))
(+.f64 x (.f64 y (+.f64 279195317918525/3350343815022304 (.f64 z -155900051080628738716045985239/56124018394291031809500087342080))))
(/.f64 (.f64 y y) (/.f64 (-.f64 (.f64 y 692910599291889/10000000000000000) x) 480125098611044764748221188321/100000000000000000000000000000000))
(/.f64 (.f64 y 480125098611044764748221188321/100000000000000000000000000000000) (/.f64 (-.f64 (.f64 y 692910599291889/10000000000000000) x) y))
(.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))))
(.f64 y (+.f64 (.f64 z (+.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320))) 279195317918525/3350343815022304))
(+.f64 x (/.f64 (.f64 y 11167812716741/40000000000000) (+.f64 (.f64 z z) 104698244219447/31250000000000)))
(+.f64 (.f64 692910599291889/10000000000000000 y) (+.f64 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x))
(+.f64 (.f64 279195317918525/3350343815022304 y) (+.f64 (.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) x))
(/.f64 1 (/.f64 (-.f64 (.f64 y 692910599291889/10000000000000000) x) (.f64 y (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000))))
(.f64 (.f64 y (.f64 y 480125098611044764748221188321/100000000000000000000000000000000)) (/.f64 1 (-.f64 (.f64 692910599291889/10000000000000000 y) x)))
(+.f64 x (.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z)))))
(+.f64 x (/.f64 (.f64 y 11167812716741/40000000000000) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(/.f64 (-.f64 (.f64 480125098611044764748221188321/100000000000000000000000000000000 (.f64 y y)) (.f64 x x)) (-.f64 (.f64 692910599291889/10000000000000000 y) x))
(/.f64 1 (/.f64 (-.f64 (.f64 692910599291889/10000000000000000 y) x) (-.f64 (.f64 480125098611044764748221188321/100000000000000000000000000000000 (.f64 y y)) (.f64 x x))))
(.f64 (-.f64 (.f64 (.f64 y y) 480125098611044764748221188321/100000000000000000000000000000000) (.f64 x x)) (/.f64 1 (-.f64 (*.f64 692910599291889/10000000000000000 y) x)))
(+.f64 x (/.f64 (.f64 y (.f64 z (.f64 692910599291889/10000000000000000 z))) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+.f64 x (.f64 y (+.f64 279195317918525/3350343815022304 (.f64 z (+.f64 -155900051080628738716045985239/56124018394291031809500087342080 (.f64 z (+.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (.f64 z -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280))))))))
(.f64 (-.f64 (.f64 (.f64 (.f64 692910599291889/10000000000000000 y) y) 692910599291889/10000000000000000) (.f64 x x)) (/.f64 1 (-.f64 (.f64 692910599291889/10000000000000000 y) x)))
(/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
(/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
(+.f64 x (/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(.f64 (+.f64 (/.f64 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))) (/.f64 (/.f64 11167812716741/40000000000000 z) z)) y)
(.f64 (+.f64 (/.f64 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))) (.f64 11167812716741/40000000000000 (/.f64 1 (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))))) y)
(fma.f64 (/.f64 y 104698244219447/31250000000000) 11167812716741/40000000000000 x)
(+.f64 (sqrt.f64 (.f64 (.f64 y y) 480125098611044764748221188321/100000000000000000000000000000000)) x)
(+.f64 x (/.f64 11167812716741/40000000000000 (/.f64 (fma.f64 z (+.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000) y)))
(/.f64 1 (/.f64 (-.f64 (.f64 692910599291889/10000000000000000 y) x) (-.f64 (pow.f64 (.f64 692910599291889/10000000000000000 y) 2) (*.f64 x x))))
(/.f64 1 (/.f64 (-.f64 (.f64 692910599291889/10000000000000000 y) x) (-.f64 (pow.f64 (.f64 692910599291889/10000000000000000 y) 2) (*.f64 x x))))
(/.f64 1 (/.f64 (-.f64 (.f64 279195317918525/3350343815022304 y) x) (-.f64 (pow.f64 (.f64 279195317918525/3350343815022304 y) 2) (*.f64 x x))))
(.f64 (-.f64 (pow.f64 (.f64 692910599291889/10000000000000000 y) 2) (.f64 x x)) (/.f64 1 (-.f64 (.f64 692910599291889/10000000000000000 y) x)))
(+.f64 (fma.f64 y 692910599291889/10000000000000000 x) (.f64 (.f64 x (/.f64 x y)) (+.f64 10000000000000000/692910599291889 (*.f64 x (/.f64 100000000000000000000000000000000/480125098611044764748221188321 y)))))
(pow.f64 (sqrt.f64 (*.f64 279195317918525/3350343815022304 y)) 2)
(pow.f64 (sqrt.f64 (*.f64 692910599291889/10000000000000000 y)) 2)
(pow.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) 3)
(+.f64 (pow.f64 (sqrt.f64 (*.f64 279195317918525/3350343815022304 y)) 2) x)
(+.f64 (pow.f64 (sqrt.f64 (*.f64 692910599291889/10000000000000000 y)) 2) x)
(+.f64 (pow.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) 3) x)
(+.f64 (cbrt.f64 (*.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000)) x)
(+.f64 (.f64 (.f64 279195317918525/3350343815022304 (sqrt.f64 y)) (sqrt.f64 y)) x)
(+.f64 (.f64 (.f64 692910599291889/10000000000000000 (sqrt.f64 y)) (sqrt.f64 y)) x)
(fma.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 11167812716741/40000000000000 x)
(pow.f64 (/.f64 (.f64 y 692910599291889/10000000000000000) (sqrt.f64 (-.f64 (.f64 y 692910599291889/10000000000000000) x))) 2)
(+.f64 x (pow.f64 (*.f64 40000000000000/11167812716741 (/.f64 (fma.f64 z z 104698244219447/31250000000000) y)) -1))
(+.f64 x (pow.f64 (*.f64 40000000000000/11167812716741 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) y)) -1))
(+.f64 x (.f64 (/.f64 (.f64 y 11167812716741/40000000000000) (+.f64 1147673082894964476557575335949564252827623/30517578125000000000000000000000000000000 (pow.f64 z 6))) (-.f64 (+.f64 (pow.f64 z 4) 10961722342634967150292985809/976562500000000000000000000) (.f64 z (.f64 z 104698244219447/31250000000000)))))
(+.f64 x (/.f64 (.f64 y (+.f64 (.f64 (+.f64 (cbrt.f64 (.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 z 3))) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+.f64 x (.f64 (/.f64 (.f64 y 11167812716741/40000000000000) (+.f64 1147673082894964476557575335949564252827623/30517578125000000000000000000000000000000 (pow.f64 (.f64 z (+.f64 z 6012459259764103/1000000000000000)) 3))) (+.f64 (pow.f64 (.f64 z (+.f64 z 6012459259764103/1000000000000000)) 2) (-.f64 10961722342634967150292985809/976562500000000000000000000 (.f64 (+.f64 z 6012459259764103/1000000000000000) (.f64 z 104698244219447/31250000000000))))))
(+.f64 (pow.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 692910599291889/10000000000000000)) 3) x)
(+.f64 (.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 (cbrt.f64 y) 692910599291889/10000000000000000)) x)
(+.f64 (.f64 (sqrt.f64 (.f64 y (cbrt.f64 y))) (*.f64 (cbrt.f64 y) 692910599291889/10000000000000000)) x)
(fma.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (*.f64 692910599291889/10000000000000000 (pow.f64 z 2)) x)
(/.f64 y (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)))
(+.f64 x (*.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(+.f64 x (.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (.f64 y (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 692910599291889/10000000000000000 y)) 2) (cbrt.f64 (.f64 692910599291889/10000000000000000 y)) x)
(fma.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) x)

Outputs

(+.f64 (*.f64 692910599291889/10000000000000000 y) x)

(fma.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) x)

(+.f64 (*.f64 692910599291889/10000000000000000 y) x)

Calls

6 calls:

151.0ms	x
116.0ms	y
115.0ms	z
72.0ms	(/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
66.0ms	(+.f64 x (/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))

Results

Error	Segments	Branch
9.6b	4	`x`
11.7b	3	`y`
0.2b	3	`z`
0.7b	2	`(+.f64 x (/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))`
0.7b	2	`(/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))`
0.7b	2	`(/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))`

Compiler

Compiled 938 to 639 computations (31.9% saved)

bsearch54.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
25.0ms	5.3271563536342204e+44	4.563022821472802e+49
28.0ms	-1.3302824826989348e+20	-16424981456487563000.0

Compiler

Compiled 30 to 23 computations (23.3% saved)

regimes858.0ms (5%)

Counts

68 → 3

Calls

Call 1

Inputs
x
x
x
(*.f64 692910599291889/10000000000000000 y)
(*.f64 279195317918525/3350343815022304 y)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))
(+.f64 x (/.f64 (*.f64 y 11167812716741/40000000000000) 104698244219447/31250000000000))
(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))
(.f64 y (+.f64 279195317918525/3350343815022304 (.f64 z -155900051080628738716045985239/56124018394291031809500087342080)))
(.f64 (.f64 y (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000)) (/.f64 10000000000000000/692910599291889 y))
(+.f64 (.f64 279195317918525/3350343815022304 y) (.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)))
(+.f64 x (.f64 y (+.f64 279195317918525/3350343815022304 (.f64 z -155900051080628738716045985239/56124018394291031809500087342080))))
(/.f64 (.f64 y y) (/.f64 (-.f64 (.f64 y 692910599291889/10000000000000000) x) 480125098611044764748221188321/100000000000000000000000000000000))
(/.f64 (.f64 y 480125098611044764748221188321/100000000000000000000000000000000) (/.f64 (-.f64 (.f64 y 692910599291889/10000000000000000) x) y))
(.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))))
(.f64 y (+.f64 (.f64 z (+.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320))) 279195317918525/3350343815022304))
(+.f64 x (/.f64 (.f64 y 11167812716741/40000000000000) (+.f64 (.f64 z z) 104698244219447/31250000000000)))
(+.f64 (.f64 692910599291889/10000000000000000 y) (+.f64 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x))
(+.f64 (.f64 279195317918525/3350343815022304 y) (+.f64 (.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) x))
(/.f64 1 (/.f64 (-.f64 (.f64 y 692910599291889/10000000000000000) x) (.f64 y (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000))))
(.f64 (.f64 y (.f64 y 480125098611044764748221188321/100000000000000000000000000000000)) (/.f64 1 (-.f64 (.f64 692910599291889/10000000000000000 y) x)))
(+.f64 x (.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z)))))
(+.f64 x (/.f64 (.f64 y 11167812716741/40000000000000) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(/.f64 (-.f64 (.f64 480125098611044764748221188321/100000000000000000000000000000000 (.f64 y y)) (.f64 x x)) (-.f64 (.f64 692910599291889/10000000000000000 y) x))
(/.f64 1 (/.f64 (-.f64 (.f64 692910599291889/10000000000000000 y) x) (-.f64 (.f64 480125098611044764748221188321/100000000000000000000000000000000 (.f64 y y)) (.f64 x x))))
(.f64 (-.f64 (.f64 (.f64 y y) 480125098611044764748221188321/100000000000000000000000000000000) (.f64 x x)) (/.f64 1 (-.f64 (*.f64 692910599291889/10000000000000000 y) x)))
(+.f64 x (/.f64 (.f64 y (.f64 z (.f64 692910599291889/10000000000000000 z))) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+.f64 x (.f64 y (+.f64 279195317918525/3350343815022304 (.f64 z (+.f64 -155900051080628738716045985239/56124018394291031809500087342080 (.f64 z (+.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (.f64 z -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280))))))))
(.f64 (-.f64 (.f64 (.f64 (.f64 692910599291889/10000000000000000 y) y) 692910599291889/10000000000000000) (.f64 x x)) (/.f64 1 (-.f64 (.f64 692910599291889/10000000000000000 y) x)))
(/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
(/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
(+.f64 x (/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(.f64 (+.f64 (/.f64 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))) (/.f64 (/.f64 11167812716741/40000000000000 z) z)) y)
(.f64 (+.f64 (/.f64 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))) (.f64 11167812716741/40000000000000 (/.f64 1 (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))))) y)
(fma.f64 (/.f64 y 104698244219447/31250000000000) 11167812716741/40000000000000 x)
(+.f64 (sqrt.f64 (.f64 (.f64 y y) 480125098611044764748221188321/100000000000000000000000000000000)) x)
(+.f64 x (/.f64 11167812716741/40000000000000 (/.f64 (fma.f64 z (+.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000) y)))
(/.f64 1 (/.f64 (-.f64 (.f64 692910599291889/10000000000000000 y) x) (-.f64 (pow.f64 (.f64 692910599291889/10000000000000000 y) 2) (*.f64 x x))))
(/.f64 1 (/.f64 (-.f64 (.f64 692910599291889/10000000000000000 y) x) (-.f64 (pow.f64 (.f64 692910599291889/10000000000000000 y) 2) (*.f64 x x))))
(/.f64 1 (/.f64 (-.f64 (.f64 279195317918525/3350343815022304 y) x) (-.f64 (pow.f64 (.f64 279195317918525/3350343815022304 y) 2) (*.f64 x x))))
(.f64 (-.f64 (pow.f64 (.f64 692910599291889/10000000000000000 y) 2) (.f64 x x)) (/.f64 1 (-.f64 (.f64 692910599291889/10000000000000000 y) x)))
(+.f64 (fma.f64 y 692910599291889/10000000000000000 x) (.f64 (.f64 x (/.f64 x y)) (+.f64 10000000000000000/692910599291889 (*.f64 x (/.f64 100000000000000000000000000000000/480125098611044764748221188321 y)))))
(pow.f64 (sqrt.f64 (*.f64 279195317918525/3350343815022304 y)) 2)
(pow.f64 (sqrt.f64 (*.f64 692910599291889/10000000000000000 y)) 2)
(pow.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) 3)
(+.f64 (pow.f64 (sqrt.f64 (*.f64 279195317918525/3350343815022304 y)) 2) x)
(+.f64 (pow.f64 (sqrt.f64 (*.f64 692910599291889/10000000000000000 y)) 2) x)
(+.f64 (pow.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) 3) x)
(+.f64 (cbrt.f64 (*.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000)) x)
(+.f64 (.f64 (.f64 279195317918525/3350343815022304 (sqrt.f64 y)) (sqrt.f64 y)) x)
(+.f64 (.f64 (.f64 692910599291889/10000000000000000 (sqrt.f64 y)) (sqrt.f64 y)) x)
(fma.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 11167812716741/40000000000000 x)
(pow.f64 (/.f64 (.f64 y 692910599291889/10000000000000000) (sqrt.f64 (-.f64 (.f64 y 692910599291889/10000000000000000) x))) 2)
(+.f64 x (pow.f64 (*.f64 40000000000000/11167812716741 (/.f64 (fma.f64 z z 104698244219447/31250000000000) y)) -1))
(+.f64 x (pow.f64 (*.f64 40000000000000/11167812716741 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) y)) -1))
(+.f64 x (.f64 (/.f64 (.f64 y 11167812716741/40000000000000) (+.f64 1147673082894964476557575335949564252827623/30517578125000000000000000000000000000000 (pow.f64 z 6))) (-.f64 (+.f64 (pow.f64 z 4) 10961722342634967150292985809/976562500000000000000000000) (.f64 z (.f64 z 104698244219447/31250000000000)))))
(+.f64 x (/.f64 (.f64 y (+.f64 (.f64 (+.f64 (cbrt.f64 (.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 z 3))) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+.f64 x (.f64 (/.f64 (.f64 y 11167812716741/40000000000000) (+.f64 1147673082894964476557575335949564252827623/30517578125000000000000000000000000000000 (pow.f64 (.f64 z (+.f64 z 6012459259764103/1000000000000000)) 3))) (+.f64 (pow.f64 (.f64 z (+.f64 z 6012459259764103/1000000000000000)) 2) (-.f64 10961722342634967150292985809/976562500000000000000000000 (.f64 (+.f64 z 6012459259764103/1000000000000000) (.f64 z 104698244219447/31250000000000))))))
(+.f64 (pow.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 692910599291889/10000000000000000)) 3) x)
(+.f64 (.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 (cbrt.f64 y) 692910599291889/10000000000000000)) x)
(+.f64 (.f64 (sqrt.f64 (.f64 y (cbrt.f64 y))) (*.f64 (cbrt.f64 y) 692910599291889/10000000000000000)) x)
(fma.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (*.f64 692910599291889/10000000000000000 (pow.f64 z 2)) x)
(/.f64 y (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)))
(+.f64 x (*.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(+.f64 x (.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (.f64 y (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 692910599291889/10000000000000000 y)) 2) (cbrt.f64 (.f64 692910599291889/10000000000000000 y)) x)

Outputs

(+.f64 (*.f64 692910599291889/10000000000000000 y) x)

(+.f64 x (*.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))

(+.f64 (*.f64 692910599291889/10000000000000000 y) x)

Calls

6 calls:

331.0ms	x
167.0ms	z
125.0ms	y
71.0ms	(+.f64 x (/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
67.0ms	(/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))

Results

Error	Segments	Branch
9.6b	4	`x`
11.7b	3	`y`
0.2b	3	`z`
0.7b	2	`(+.f64 x (/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))`
0.7b	2	`(/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))`
0.7b	2	`(/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))`

Compiler

Compiled 921 to 628 computations (31.8% saved)

bsearch64.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
28.0ms	5.3271563536342204e+44	4.563022821472802e+49
35.0ms	-1.3302824826989348e+20	-16424981456487563000.0

Compiler

Compiled 30 to 23 computations (23.3% saved)

regimes666.0ms (3.9%)

Counts

65 → 3

Calls

Call 1

Inputs
x
x
x
(*.f64 692910599291889/10000000000000000 y)
(*.f64 279195317918525/3350343815022304 y)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))
(+.f64 x (/.f64 (*.f64 y 11167812716741/40000000000000) 104698244219447/31250000000000))
(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))
(.f64 y (+.f64 279195317918525/3350343815022304 (.f64 z -155900051080628738716045985239/56124018394291031809500087342080)))
(.f64 (.f64 y (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000)) (/.f64 10000000000000000/692910599291889 y))
(+.f64 (.f64 279195317918525/3350343815022304 y) (.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)))
(+.f64 x (.f64 y (+.f64 279195317918525/3350343815022304 (.f64 z -155900051080628738716045985239/56124018394291031809500087342080))))
(/.f64 (.f64 y y) (/.f64 (-.f64 (.f64 y 692910599291889/10000000000000000) x) 480125098611044764748221188321/100000000000000000000000000000000))
(/.f64 (.f64 y 480125098611044764748221188321/100000000000000000000000000000000) (/.f64 (-.f64 (.f64 y 692910599291889/10000000000000000) x) y))
(.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))))
(.f64 y (+.f64 (.f64 z (+.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320))) 279195317918525/3350343815022304))
(+.f64 x (/.f64 (.f64 y 11167812716741/40000000000000) (+.f64 (.f64 z z) 104698244219447/31250000000000)))
(+.f64 (.f64 692910599291889/10000000000000000 y) (+.f64 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x))
(+.f64 (.f64 279195317918525/3350343815022304 y) (+.f64 (.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) x))
(/.f64 1 (/.f64 (-.f64 (.f64 y 692910599291889/10000000000000000) x) (.f64 y (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000))))
(.f64 (.f64 y (.f64 y 480125098611044764748221188321/100000000000000000000000000000000)) (/.f64 1 (-.f64 (.f64 692910599291889/10000000000000000 y) x)))
(+.f64 x (.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z)))))
(+.f64 x (/.f64 (.f64 y 11167812716741/40000000000000) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(/.f64 (-.f64 (.f64 480125098611044764748221188321/100000000000000000000000000000000 (.f64 y y)) (.f64 x x)) (-.f64 (.f64 692910599291889/10000000000000000 y) x))
(/.f64 1 (/.f64 (-.f64 (.f64 692910599291889/10000000000000000 y) x) (-.f64 (.f64 480125098611044764748221188321/100000000000000000000000000000000 (.f64 y y)) (.f64 x x))))
(.f64 (-.f64 (.f64 (.f64 y y) 480125098611044764748221188321/100000000000000000000000000000000) (.f64 x x)) (/.f64 1 (-.f64 (*.f64 692910599291889/10000000000000000 y) x)))
(+.f64 x (/.f64 (.f64 y (.f64 z (.f64 692910599291889/10000000000000000 z))) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+.f64 x (.f64 y (+.f64 279195317918525/3350343815022304 (.f64 z (+.f64 -155900051080628738716045985239/56124018394291031809500087342080 (.f64 z (+.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (.f64 z -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280))))))))
(.f64 (-.f64 (.f64 (.f64 (.f64 692910599291889/10000000000000000 y) y) 692910599291889/10000000000000000) (.f64 x x)) (/.f64 1 (-.f64 (.f64 692910599291889/10000000000000000 y) x)))
(/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
(/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
(+.f64 x (/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(.f64 (+.f64 (/.f64 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))) (/.f64 (/.f64 11167812716741/40000000000000 z) z)) y)
(.f64 (+.f64 (/.f64 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))) (.f64 11167812716741/40000000000000 (/.f64 1 (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))))) y)
(fma.f64 (/.f64 y 104698244219447/31250000000000) 11167812716741/40000000000000 x)
(+.f64 (sqrt.f64 (.f64 (.f64 y y) 480125098611044764748221188321/100000000000000000000000000000000)) x)
(+.f64 x (/.f64 11167812716741/40000000000000 (/.f64 (fma.f64 z (+.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000) y)))
(/.f64 1 (/.f64 (-.f64 (.f64 692910599291889/10000000000000000 y) x) (-.f64 (pow.f64 (.f64 692910599291889/10000000000000000 y) 2) (*.f64 x x))))
(/.f64 1 (/.f64 (-.f64 (.f64 692910599291889/10000000000000000 y) x) (-.f64 (pow.f64 (.f64 692910599291889/10000000000000000 y) 2) (*.f64 x x))))
(/.f64 1 (/.f64 (-.f64 (.f64 279195317918525/3350343815022304 y) x) (-.f64 (pow.f64 (.f64 279195317918525/3350343815022304 y) 2) (*.f64 x x))))
(.f64 (-.f64 (pow.f64 (.f64 692910599291889/10000000000000000 y) 2) (.f64 x x)) (/.f64 1 (-.f64 (.f64 692910599291889/10000000000000000 y) x)))
(+.f64 (fma.f64 y 692910599291889/10000000000000000 x) (.f64 (.f64 x (/.f64 x y)) (+.f64 10000000000000000/692910599291889 (*.f64 x (/.f64 100000000000000000000000000000000/480125098611044764748221188321 y)))))
(pow.f64 (sqrt.f64 (*.f64 279195317918525/3350343815022304 y)) 2)
(pow.f64 (sqrt.f64 (*.f64 692910599291889/10000000000000000 y)) 2)
(pow.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) 3)
(+.f64 (pow.f64 (sqrt.f64 (*.f64 279195317918525/3350343815022304 y)) 2) x)
(+.f64 (pow.f64 (sqrt.f64 (*.f64 692910599291889/10000000000000000 y)) 2) x)
(+.f64 (pow.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) 3) x)
(+.f64 (cbrt.f64 (*.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000)) x)
(+.f64 (.f64 (.f64 279195317918525/3350343815022304 (sqrt.f64 y)) (sqrt.f64 y)) x)
(+.f64 (.f64 (.f64 692910599291889/10000000000000000 (sqrt.f64 y)) (sqrt.f64 y)) x)
(fma.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 11167812716741/40000000000000 x)
(pow.f64 (/.f64 (.f64 y 692910599291889/10000000000000000) (sqrt.f64 (-.f64 (.f64 y 692910599291889/10000000000000000) x))) 2)
(+.f64 x (pow.f64 (*.f64 40000000000000/11167812716741 (/.f64 (fma.f64 z z 104698244219447/31250000000000) y)) -1))
(+.f64 x (pow.f64 (*.f64 40000000000000/11167812716741 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) y)) -1))
(+.f64 x (.f64 (/.f64 (.f64 y 11167812716741/40000000000000) (+.f64 1147673082894964476557575335949564252827623/30517578125000000000000000000000000000000 (pow.f64 z 6))) (-.f64 (+.f64 (pow.f64 z 4) 10961722342634967150292985809/976562500000000000000000000) (.f64 z (.f64 z 104698244219447/31250000000000)))))
(+.f64 x (/.f64 (.f64 y (+.f64 (.f64 (+.f64 (cbrt.f64 (.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 z 3))) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+.f64 x (.f64 (/.f64 (.f64 y 11167812716741/40000000000000) (+.f64 1147673082894964476557575335949564252827623/30517578125000000000000000000000000000000 (pow.f64 (.f64 z (+.f64 z 6012459259764103/1000000000000000)) 3))) (+.f64 (pow.f64 (.f64 z (+.f64 z 6012459259764103/1000000000000000)) 2) (-.f64 10961722342634967150292985809/976562500000000000000000000 (.f64 (+.f64 z 6012459259764103/1000000000000000) (.f64 z 104698244219447/31250000000000))))))
(+.f64 (pow.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 692910599291889/10000000000000000)) 3) x)
(+.f64 (.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 (cbrt.f64 y) 692910599291889/10000000000000000)) x)
(+.f64 (.f64 (sqrt.f64 (.f64 y (cbrt.f64 y))) (*.f64 (cbrt.f64 y) 692910599291889/10000000000000000)) x)
(fma.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (*.f64 692910599291889/10000000000000000 (pow.f64 z 2)) x)
(/.f64 y (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)))

Outputs

(+.f64 (*.f64 692910599291889/10000000000000000 y) (+.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x))

(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))

(+.f64 (*.f64 692910599291889/10000000000000000 y) x)

Calls

6 calls:

140.0ms	x
110.0ms	z
107.0ms	y
96.0ms	(/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
95.0ms	(/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))

Results

Error	Segments	Branch
9.6b	4	`x`
11.7b	3	`y`
0.3b	3	`z`
0.3b	3	`(+.f64 x (/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))`
0.3b	3	`(/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))`
0.3b	3	`(/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))`

Compiler

Compiled 871 to 593 computations (31.9% saved)

bsearch57.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
27.0ms	5.3271563536342204e+44	4.563022821472802e+49
29.0ms	-8562836124190.338	-7610318.28165248

Compiler

Compiled 30 to 23 computations (23.3% saved)

regimes172.0ms (1%)

Counts

33 → 3

Calls

Call 1

Inputs
x
x
x
(*.f64 692910599291889/10000000000000000 y)
(*.f64 279195317918525/3350343815022304 y)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))
(+.f64 x (/.f64 (*.f64 y 11167812716741/40000000000000) 104698244219447/31250000000000))
(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))
(.f64 y (+.f64 279195317918525/3350343815022304 (.f64 z -155900051080628738716045985239/56124018394291031809500087342080)))
(.f64 (.f64 y (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000)) (/.f64 10000000000000000/692910599291889 y))
(+.f64 (.f64 279195317918525/3350343815022304 y) (.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)))
(+.f64 x (.f64 y (+.f64 279195317918525/3350343815022304 (.f64 z -155900051080628738716045985239/56124018394291031809500087342080))))
(/.f64 (.f64 y y) (/.f64 (-.f64 (.f64 y 692910599291889/10000000000000000) x) 480125098611044764748221188321/100000000000000000000000000000000))
(/.f64 (.f64 y 480125098611044764748221188321/100000000000000000000000000000000) (/.f64 (-.f64 (.f64 y 692910599291889/10000000000000000) x) y))
(.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))))
(.f64 y (+.f64 (.f64 z (+.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320))) 279195317918525/3350343815022304))
(+.f64 x (/.f64 (.f64 y 11167812716741/40000000000000) (+.f64 (.f64 z z) 104698244219447/31250000000000)))
(+.f64 (.f64 692910599291889/10000000000000000 y) (+.f64 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x))
(+.f64 (.f64 279195317918525/3350343815022304 y) (+.f64 (.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) x))
(/.f64 1 (/.f64 (-.f64 (.f64 y 692910599291889/10000000000000000) x) (.f64 y (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000))))
(.f64 (.f64 y (.f64 y 480125098611044764748221188321/100000000000000000000000000000000)) (/.f64 1 (-.f64 (.f64 692910599291889/10000000000000000 y) x)))
(+.f64 x (.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z)))))
(+.f64 x (/.f64 (.f64 y 11167812716741/40000000000000) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(/.f64 (-.f64 (.f64 480125098611044764748221188321/100000000000000000000000000000000 (.f64 y y)) (.f64 x x)) (-.f64 (.f64 692910599291889/10000000000000000 y) x))
(/.f64 1 (/.f64 (-.f64 (.f64 692910599291889/10000000000000000 y) x) (-.f64 (.f64 480125098611044764748221188321/100000000000000000000000000000000 (.f64 y y)) (.f64 x x))))
(.f64 (-.f64 (.f64 (.f64 y y) 480125098611044764748221188321/100000000000000000000000000000000) (.f64 x x)) (/.f64 1 (-.f64 (*.f64 692910599291889/10000000000000000 y) x)))
(+.f64 x (/.f64 (.f64 y (.f64 z (.f64 692910599291889/10000000000000000 z))) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+.f64 x (.f64 y (+.f64 279195317918525/3350343815022304 (.f64 z (+.f64 -155900051080628738716045985239/56124018394291031809500087342080 (.f64 z (+.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (.f64 z -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280))))))))
(.f64 (-.f64 (.f64 (.f64 (.f64 692910599291889/10000000000000000 y) y) 692910599291889/10000000000000000) (.f64 x x)) (/.f64 1 (-.f64 (.f64 692910599291889/10000000000000000 y) x)))
(/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
(/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z)))

Outputs

(+.f64 (*.f64 692910599291889/10000000000000000 y) (+.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x))

(+.f64 x (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z (+.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z (+.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (*.f64 z -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280))))))))

(+.f64 (*.f64 692910599291889/10000000000000000 y) (+.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x))

Calls

3 calls:

63.0ms	x
49.0ms	y
49.0ms	z

Results

Error	Segments	Branch
9.6b	4	`x`
11.8b	3	`y`
0.3b	3	`z`

Compiler

Compiled 358 to 235 computations (34.4% saved)

bsearch55.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
27.0ms	6.407940699222548e-5	0.0017143096251552032
27.0ms	-8562836124190.338	-7610318.28165248

Compiler

Compiled 30 to 23 computations (23.3% saved)

regimes146.0ms (0.9%)

Counts

29 → 3

Calls

Call 1

Inputs
x
x
x
(*.f64 692910599291889/10000000000000000 y)
(*.f64 279195317918525/3350343815022304 y)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))
(+.f64 x (/.f64 (*.f64 y 11167812716741/40000000000000) 104698244219447/31250000000000))
(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))
(.f64 y (+.f64 279195317918525/3350343815022304 (.f64 z -155900051080628738716045985239/56124018394291031809500087342080)))
(.f64 (.f64 y (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000)) (/.f64 10000000000000000/692910599291889 y))
(+.f64 (.f64 279195317918525/3350343815022304 y) (.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)))
(+.f64 x (.f64 y (+.f64 279195317918525/3350343815022304 (.f64 z -155900051080628738716045985239/56124018394291031809500087342080))))
(/.f64 (.f64 y y) (/.f64 (-.f64 (.f64 y 692910599291889/10000000000000000) x) 480125098611044764748221188321/100000000000000000000000000000000))
(/.f64 (.f64 y 480125098611044764748221188321/100000000000000000000000000000000) (/.f64 (-.f64 (.f64 y 692910599291889/10000000000000000) x) y))
(.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))))
(.f64 y (+.f64 (.f64 z (+.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320))) 279195317918525/3350343815022304))
(+.f64 x (/.f64 (.f64 y 11167812716741/40000000000000) (+.f64 (.f64 z z) 104698244219447/31250000000000)))
(+.f64 (.f64 692910599291889/10000000000000000 y) (+.f64 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x))
(+.f64 (.f64 279195317918525/3350343815022304 y) (+.f64 (.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)) x))
(/.f64 1 (/.f64 (-.f64 (.f64 y 692910599291889/10000000000000000) x) (.f64 y (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000))))
(.f64 (.f64 y (.f64 y 480125098611044764748221188321/100000000000000000000000000000000)) (/.f64 1 (-.f64 (.f64 692910599291889/10000000000000000 y) x)))
(+.f64 x (.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z)))))
(+.f64 x (/.f64 (.f64 y 11167812716741/40000000000000) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(/.f64 (-.f64 (.f64 480125098611044764748221188321/100000000000000000000000000000000 (.f64 y y)) (.f64 x x)) (-.f64 (.f64 692910599291889/10000000000000000 y) x))
(/.f64 1 (/.f64 (-.f64 (.f64 692910599291889/10000000000000000 y) x) (-.f64 (.f64 480125098611044764748221188321/100000000000000000000000000000000 (.f64 y y)) (.f64 x x))))
(.f64 (-.f64 (.f64 (.f64 y y) 480125098611044764748221188321/100000000000000000000000000000000) (.f64 x x)) (/.f64 1 (-.f64 (*.f64 692910599291889/10000000000000000 y) x)))
(+.f64 x (/.f64 (.f64 y (.f64 z (.f64 692910599291889/10000000000000000 z))) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))

Outputs

(+.f64 (*.f64 692910599291889/10000000000000000 y) (+.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x))

(+.f64 x (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080))))

(+.f64 (*.f64 692910599291889/10000000000000000 y) (+.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x))

Calls

3 calls:

53.0ms	x
43.0ms	z
40.0ms	y

Results

Error	Segments	Branch
9.6b	4	`x`
11.8b	3	`y`
0.3b	3	`z`

Compiler

Compiled 284 to 183 computations (35.6% saved)

bsearch56.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
28.0ms	6.407940699222548e-5	0.0017143096251552032
28.0ms	-8562836124190.338	-7610318.28165248

Compiler

Compiled 30 to 23 computations (23.3% saved)

regimes98.0ms (0.6%)

Counts

19 → 3

Calls

Call 1

Inputs
x
x
x
(*.f64 692910599291889/10000000000000000 y)
(*.f64 279195317918525/3350343815022304 y)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))
(+.f64 x (/.f64 (*.f64 y 11167812716741/40000000000000) 104698244219447/31250000000000))
(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))
(.f64 y (+.f64 279195317918525/3350343815022304 (.f64 z -155900051080628738716045985239/56124018394291031809500087342080)))
(.f64 (.f64 y (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000)) (/.f64 10000000000000000/692910599291889 y))
(+.f64 (.f64 279195317918525/3350343815022304 y) (.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)))
(+.f64 x (.f64 y (+.f64 279195317918525/3350343815022304 (.f64 z -155900051080628738716045985239/56124018394291031809500087342080))))
(/.f64 (.f64 y y) (/.f64 (-.f64 (.f64 y 692910599291889/10000000000000000) x) 480125098611044764748221188321/100000000000000000000000000000000))
(/.f64 (.f64 y 480125098611044764748221188321/100000000000000000000000000000000) (/.f64 (-.f64 (.f64 y 692910599291889/10000000000000000) x) y))
(.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))))
(.f64 y (+.f64 (.f64 z (+.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320))) 279195317918525/3350343815022304))
(+.f64 x (/.f64 (.f64 y 11167812716741/40000000000000) (+.f64 (.f64 z z) 104698244219447/31250000000000)))

Outputs

(+.f64 (*.f64 692910599291889/10000000000000000 y) x)

(+.f64 x (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080))))

(+.f64 (*.f64 692910599291889/10000000000000000 y) x)

Calls

3 calls:

36.0ms	x
29.0ms	z
27.0ms	y

Results

Error	Segments	Branch
9.6b	4	`x`
11.8b	3	`y`
0.4b	3	`z`

Compiler

Compiled 144 to 97 computations (32.6% saved)

bsearch54.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
26.0ms	1.3371276342301388e-8	6.407940699222548e-5
28.0ms	-8562836124190.338	-7610318.28165248

Compiler

Compiled 30 to 23 computations (23.3% saved)

regimes86.0ms (0.5%)

Counts

13 → 3

Calls

Call 1

Inputs
x
x
x
(*.f64 692910599291889/10000000000000000 y)
(*.f64 279195317918525/3350343815022304 y)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))
(+.f64 x (/.f64 (*.f64 y 11167812716741/40000000000000) 104698244219447/31250000000000))
(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))
(.f64 y (+.f64 279195317918525/3350343815022304 (.f64 z -155900051080628738716045985239/56124018394291031809500087342080)))
(.f64 (.f64 y (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000)) (/.f64 10000000000000000/692910599291889 y))
(+.f64 (.f64 279195317918525/3350343815022304 y) (.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)))

Outputs
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)

Calls

3 calls:

40.0ms	x
22.0ms	z
20.0ms	y

Results

Error	Segments	Branch
9.6b	4	`x`
11.8b	3	`y`
0.6b	3	`z`

Compiler

Compiled 80 to 54 computations (32.5% saved)

bsearch107.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
51.0ms	1.3371276342301388e-8	6.407940699222548e-5
55.0ms	-8562836124190.338	-7610318.28165248

Compiler

Compiled 30 to 23 computations (23.3% saved)

regimes122.0ms (0.7%)

Counts

6 → 7

Calls

Call 1

Inputs
x
x
x
(*.f64 692910599291889/10000000000000000 y)
(*.f64 279195317918525/3350343815022304 y)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)

Outputs
(*.f64 692910599291889/10000000000000000 y)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(*.f64 692910599291889/10000000000000000 y)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(*.f64 692910599291889/10000000000000000 y)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(*.f64 692910599291889/10000000000000000 y)

Calls

3 calls:

78.0ms	z
29.0ms	x
11.0ms	y

Results

Error	Segments	Branch
13.0b	3	`x`
14.4b	1	`y`
9.4b	7	`z`

Compiler

Compiled 29 to 19 computations (34.5% saved)

bsearch309.0ms (1.8%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
46.0ms	2.65345052850626e+248	2.298522114322621e+249
51.0ms	-2.714892720631347e+30	-1.2170233025822182e+30
52.0ms	-3.5774549189288865e+92	-4.63777627708377e+82
54.0ms	-1.2786702621535797e+172	-6.600732811345804e+169
53.0ms	-1.7461040763347044e+196	-7.122380042943171e+193
51.0ms	-1.752844745083735e+282	-1.8685048277807337e+267

Compiler

Compiled 30 to 23 computations (23.3% saved)

regimes192.0ms (1.1%)

Counts

5 → 11

Calls

Call 1

Inputs
x
x
x
(*.f64 692910599291889/10000000000000000 y)
(*.f64 279195317918525/3350343815022304 y)

Outputs
(*.f64 692910599291889/10000000000000000 y)
x
(*.f64 692910599291889/10000000000000000 y)
x
(*.f64 692910599291889/10000000000000000 y)
x
(*.f64 279195317918525/3350343815022304 y)
x
(*.f64 279195317918525/3350343815022304 y)
x
(*.f64 692910599291889/10000000000000000 y)

Calls

3 calls:

107.0ms	z
46.0ms	x
36.0ms	y

Results

Error	Segments	Branch
22.1b	4	`x`
22.8b	3	`y`
21.0b	11	`z`

Compiler

Compiled 24 to 16 computations (33.3% saved)

bsearch861.0ms (5.1%)

Algorithm

10×	binary-search

Steps

Time	Left	Right
27.0ms	1.478206090031915e+160	1.7355288878246453e+168
27.0ms	9.758115665880322e-20	1.4870292841954537e-15
26.0ms	1.6687991962542373e-254	3.157877309902667e-253
466.0ms	-3.107910489514938e-84	-9.29179025726994e-98
52.0ms	-7610318.28165248	-1.753266889526671e-7
62.0ms	-2.714892720631347e+30	-1.2170233025822182e+30
50.0ms	-3.5774549189288865e+92	-4.63777627708377e+82
48.0ms	-1.2786702621535797e+172	-6.600732811345804e+169
52.0ms	-1.7461040763347044e+196	-7.122380042943171e+193
50.0ms	-1.752844745083735e+282	-1.8685048277807337e+267

Compiler

Compiled 30 to 23 computations (23.3% saved)

regimes62.0ms (0.4%)

Counts

4 → 3

Calls

Call 1

Inputs
x
x
x
(*.f64 692910599291889/10000000000000000 y)

Outputs
(*.f64 692910599291889/10000000000000000 y)
x
(*.f64 692910599291889/10000000000000000 y)

Calls

3 calls:

30.0ms	z
16.0ms	x
15.0ms	y

Results

Error	Segments	Branch
23.8b	3	`x`
22.8b	3	`y`
25.8b	7	`z`

Compiler

Compiled 21 to 14 computations (33.3% saved)

bsearch54.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
26.0ms	4279.132091661539	8232.245331848791
27.0ms	-1.8653995828294563e+29	-295232024575590100.0

Compiler

Compiled 30 to 23 computations (23.3% saved)

regimes14.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

Counts

3 → 1

Calls

Call 1

Inputs
x
x
x

Outputs
x

Calls

3 calls:

5.0ms	z
4.0ms	x
4.0ms	y

Results

Error	Segments	Branch
32.6b	1	`x`
32.6b	1	`y`
32.6b	1	`z`

Compiler

Compiled 18 to 12 computations (33.3% saved)

simplify22.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

16×	`+-commutative_binary64`
14×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	130	597
1	160	597

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 z -28228422894118170680885248) (+.f64 (.f64 692910599291889/10000000000000000 y) x) (if (<=.f64 z 429748910312694540008474852545405305585514933189105626336207626543316080735534166333463298839784737291723842816634257408) (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x) (+.f64 (.f64 692910599291889/10000000000000000 y) x)))
(if (<=.f64 z -133028248269893484544) (+.f64 (.f64 692910599291889/10000000000000000 y) x) (if (<=.f64 z 532715635363422044799233673077309928661581824) (fma.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) x) (+.f64 (.f64 692910599291889/10000000000000000 y) x)))
(if (<=.f64 z -133028248269893484544) (+.f64 (.f64 692910599291889/10000000000000000 y) x) (if (<=.f64 z 532715635363422044799233673077309928661581824) (+.f64 x (.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))) (+.f64 (*.f64 692910599291889/10000000000000000 y) x)))
(if (<=.f64 z -4384172095585453/512) (+.f64 (.f64 692910599291889/10000000000000000 y) (+.f64 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x)) (if (<=.f64 z 532715635363422044799233673077309928661581824) (+.f64 x (/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))) (+.f64 (*.f64 692910599291889/10000000000000000 y) x)))
(if (<=.f64 z -4384172095585453/512) (+.f64 (.f64 692910599291889/10000000000000000 y) (+.f64 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x)) (if (<=.f64 z 4728225684722631/73786976294838206464) (+.f64 x (.f64 y (+.f64 279195317918525/3350343815022304 (.f64 z (+.f64 -155900051080628738716045985239/56124018394291031809500087342080 (.f64 z (+.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (.f64 z -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280)))))))) (+.f64 (.f64 692910599291889/10000000000000000 y) (+.f64 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x))))
(if (<=.f64 z -4384172095585453/512) (+.f64 (.f64 692910599291889/10000000000000000 y) (+.f64 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x)) (if (<=.f64 z 4728225684722631/73786976294838206464) (+.f64 x (.f64 y (+.f64 279195317918525/3350343815022304 (.f64 z -155900051080628738716045985239/56124018394291031809500087342080)))) (+.f64 (.f64 692910599291889/10000000000000000 y) (+.f64 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x))))
(if (<=.f64 z -4384172095585453/512) (+.f64 (.f64 692910599291889/10000000000000000 y) x) (if (<=.f64 z 8082440605705203/604462909807314587353088) (+.f64 x (.f64 y (+.f64 279195317918525/3350343815022304 (.f64 z -155900051080628738716045985239/56124018394291031809500087342080)))) (+.f64 (.f64 692910599291889/10000000000000000 y) x)))
(if (<=.f64 z -4384172095585453/512) (+.f64 (.f64 692910599291889/10000000000000000 y) x) (if (<=.f64 z 8082440605705203/604462909807314587353088) (+.f64 (.f64 279195317918525/3350343815022304 y) x) (+.f64 (*.f64 692910599291889/10000000000000000 y) x)))
(if (<=.f64 z -1752844745083734943927293840466626853788621354323051223819316121858645909143665474217288852550014019457402673810650248398887799208165862835843264172210806303661726725799544851909581269779724287084433913657105470462384096319456942349564313395014219890100879823805733001307725108346880) (.f64 692910599291889/10000000000000000 y) (if (<=.f64 z -17461040763347044415614942789466494941383919531054189639234704901595855584559878747225595651883253045138461166735394930272838098988172554700352617518915128095989032535669203314956499869541704138752) (+.f64 (.f64 279195317918525/3350343815022304 y) x) (if (<=.f64 z -12786702621535796915673557939464654510216911981468438864174630616877007394837514228750616630211003303823562092880275856268664668437270306146275555657288892825116468219740160) (.f64 692910599291889/10000000000000000 y) (if (<=.f64 z -357745491892888646964871559801252923295695930171972001029247488822585192282257570068317601792) (+.f64 (.f64 279195317918525/3350343815022304 y) x) (if (<=.f64 z -2714892720631347160882519998464) (.f64 692910599291889/10000000000000000 y) (if (<=.f64 z 265345052850626004656038065029745486865845027423005575346205060040492258550472908691703313285587529833028326468873482477375631014414475520582218315461819951969955882010189407388384226149125071275551088543602809023183178602937203200322052227176857600) (+.f64 (.f64 279195317918525/3350343815022304 y) x) (*.f64 692910599291889/10000000000000000 y)))))))
(if (<=.f64 z -1752844745083734943927293840466626853788621354323051223819316121858645909143665474217288852550014019457402673810650248398887799208165862835843264172210806303661726725799544851909581269779724287084433913657105470462384096319456942349564313395014219890100879823805733001307725108346880) (.f64 692910599291889/10000000000000000 y) (if (<=.f64 z -17461040763347044415614942789466494941383919531054189639234704901595855584559878747225595651883253045138461166735394930272838098988172554700352617518915128095989032535669203314956499869541704138752) x (if (<=.f64 z -12786702621535796915673557939464654510216911981468438864174630616877007394837514228750616630211003303823562092880275856268664668437270306146275555657288892825116468219740160) (.f64 692910599291889/10000000000000000 y) (if (<=.f64 z -357745491892888646964871559801252923295695930171972001029247488822585192282257570068317601792) x (if (<=.f64 z -2714892720631347160882519998464) (.f64 692910599291889/10000000000000000 y) (if (<=.f64 z -255359907280065/33554432) x (if (<=.f64 z -3398889735376137/1093625362391505962186251113558810682676584715446606218212885303204976499599687961611756588511526912) (.f64 279195317918525/3350343815022304 y) (if (<=.f64 z 8816174889447073/528294531135665246352339784916516606518847326036121522127960709026673902556724859474417255887657187894674394993257128678882347559502685537250538978462939576908386683999005084168731517676426441053024232908211188404148028292751561738838396898767036476489538580897737998336) x (if (<=.f64 z 8106725330747181/83076749736557242056487941267521536) (.f64 279195317918525/3350343815022304 y) (if (<=.f64 z 14782060900319148458809167064204578751601434781703857487865312501482463490887008904636126393937351960918627311823850868937583454510211618041899014520395943378944) x (.f64 692910599291889/10000000000000000 y)))))))))))
(if (<=.f64 y -186539958282945631745487142912) (.f64 692910599291889/10000000000000000 y) (if (<=.f64 y 2352477745785649/549755813888) x (.f64 692910599291889/10000000000000000 y)))
x

Outputs
(if (<=.f64 z -28228422894118170680885248) (+.f64 (.f64 692910599291889/10000000000000000 y) x) (if (<=.f64 z 429748910312694540008474852545405305585514933189105626336207626543316080735534166333463298839784737291723842816634257408) (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x) (+.f64 (.f64 692910599291889/10000000000000000 y) x)))
(if (<=.f64 z -133028248269893484544) (+.f64 (.f64 692910599291889/10000000000000000 y) x) (if (<=.f64 z 532715635363422044799233673077309928661581824) (fma.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) x) (+.f64 (.f64 692910599291889/10000000000000000 y) x)))
(if (<=.f64 z -133028248269893484544) (+.f64 (.f64 692910599291889/10000000000000000 y) x) (if (<=.f64 z 532715635363422044799233673077309928661581824) (+.f64 x (.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))) (+.f64 (*.f64 692910599291889/10000000000000000 y) x)))
(if (<=.f64 z -133028248269893484544) (+.f64 (.f64 692910599291889/10000000000000000 y) x) (if (<=.f64 z 532715635363422044799233673077309928661581824) (+.f64 x (.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000))) (+.f64 (*.f64 692910599291889/10000000000000000 y) x)))
(if (<=.f64 z -4384172095585453/512) (+.f64 (.f64 692910599291889/10000000000000000 y) (+.f64 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x)) (if (<=.f64 z 532715635363422044799233673077309928661581824) (+.f64 x (/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))) (+.f64 (*.f64 692910599291889/10000000000000000 y) x)))
(if (<=.f64 z -4384172095585453/512) (+.f64 (.f64 692910599291889/10000000000000000 y) (+.f64 x (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)))) (if (<=.f64 z 532715635363422044799233673077309928661581824) (+.f64 x (/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 z (+.f64 307332350656623/625000000000000 (.f64 z 692910599291889/10000000000000000))))) (+.f64 104698244219447/31250000000000 (.f64 z (+.f64 z 6012459259764103/1000000000000000))))) (+.f64 (*.f64 692910599291889/10000000000000000 y) x)))
(if (<=.f64 z -4384172095585453/512) (+.f64 (.f64 692910599291889/10000000000000000 y) (+.f64 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x)) (if (<=.f64 z 4728225684722631/73786976294838206464) (+.f64 x (.f64 y (+.f64 279195317918525/3350343815022304 (.f64 z (+.f64 -155900051080628738716045985239/56124018394291031809500087342080 (.f64 z (+.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (.f64 z -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280)))))))) (+.f64 (.f64 692910599291889/10000000000000000 y) (+.f64 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x))))
(if (<=.f64 z -4384172095585453/512) (+.f64 (.f64 692910599291889/10000000000000000 y) (+.f64 x (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)))) (if (<=.f64 z 4728225684722631/73786976294838206464) (+.f64 x (.f64 y (+.f64 279195317918525/3350343815022304 (.f64 z (+.f64 -155900051080628738716045985239/56124018394291031809500087342080 (.f64 z (+.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (.f64 z -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280)))))))) (+.f64 (.f64 692910599291889/10000000000000000 y) (+.f64 x (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))))))
(if (<=.f64 z -4384172095585453/512) (+.f64 (.f64 692910599291889/10000000000000000 y) (+.f64 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x)) (if (<=.f64 z 4728225684722631/73786976294838206464) (+.f64 x (.f64 y (+.f64 279195317918525/3350343815022304 (.f64 z -155900051080628738716045985239/56124018394291031809500087342080)))) (+.f64 (.f64 692910599291889/10000000000000000 y) (+.f64 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x))))
(if (<=.f64 z -4384172095585453/512) (+.f64 (.f64 692910599291889/10000000000000000 y) (+.f64 x (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)))) (if (<=.f64 z 4728225684722631/73786976294838206464) (+.f64 x (.f64 y (+.f64 279195317918525/3350343815022304 (.f64 z -155900051080628738716045985239/56124018394291031809500087342080)))) (+.f64 (.f64 692910599291889/10000000000000000 y) (+.f64 x (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))))))
(if (<=.f64 z -4384172095585453/512) (+.f64 (.f64 692910599291889/10000000000000000 y) x) (if (<=.f64 z 8082440605705203/604462909807314587353088) (+.f64 x (.f64 y (+.f64 279195317918525/3350343815022304 (.f64 z -155900051080628738716045985239/56124018394291031809500087342080)))) (+.f64 (.f64 692910599291889/10000000000000000 y) x)))
(if (<=.f64 z -4384172095585453/512) (+.f64 (.f64 692910599291889/10000000000000000 y) x) (if (<=.f64 z 8082440605705203/604462909807314587353088) (+.f64 (.f64 279195317918525/3350343815022304 y) x) (+.f64 (*.f64 692910599291889/10000000000000000 y) x)))
(if (<=.f64 z -4384172095585453/512) (+.f64 (.f64 692910599291889/10000000000000000 y) x) (if (<=.f64 z 8082440605705203/604462909807314587353088) (+.f64 x (.f64 y 279195317918525/3350343815022304)) (+.f64 (*.f64 692910599291889/10000000000000000 y) x)))
(if (<=.f64 z -1752844745083734943927293840466626853788621354323051223819316121858645909143665474217288852550014019457402673810650248398887799208165862835843264172210806303661726725799544851909581269779724287084433913657105470462384096319456942349564313395014219890100879823805733001307725108346880) (.f64 692910599291889/10000000000000000 y) (if (<=.f64 z -17461040763347044415614942789466494941383919531054189639234704901595855584559878747225595651883253045138461166735394930272838098988172554700352617518915128095989032535669203314956499869541704138752) (+.f64 (.f64 279195317918525/3350343815022304 y) x) (if (<=.f64 z -12786702621535796915673557939464654510216911981468438864174630616877007394837514228750616630211003303823562092880275856268664668437270306146275555657288892825116468219740160) (.f64 692910599291889/10000000000000000 y) (if (<=.f64 z -357745491892888646964871559801252923295695930171972001029247488822585192282257570068317601792) (+.f64 (.f64 279195317918525/3350343815022304 y) x) (if (<=.f64 z -2714892720631347160882519998464) (.f64 692910599291889/10000000000000000 y) (if (<=.f64 z 265345052850626004656038065029745486865845027423005575346205060040492258550472908691703313285587529833028326468873482477375631014414475520582218315461819951969955882010189407388384226149125071275551088543602809023183178602937203200322052227176857600) (+.f64 (.f64 279195317918525/3350343815022304 y) x) (*.f64 692910599291889/10000000000000000 y)))))))
(if (<=.f64 z -1752844745083734943927293840466626853788621354323051223819316121858645909143665474217288852550014019457402673810650248398887799208165862835843264172210806303661726725799544851909581269779724287084433913657105470462384096319456942349564313395014219890100879823805733001307725108346880) (.f64 692910599291889/10000000000000000 y) (if (<=.f64 z -17461040763347044415614942789466494941383919531054189639234704901595855584559878747225595651883253045138461166735394930272838098988172554700352617518915128095989032535669203314956499869541704138752) (+.f64 x (.f64 y 279195317918525/3350343815022304)) (if (<=.f64 z -12786702621535796915673557939464654510216911981468438864174630616877007394837514228750616630211003303823562092880275856268664668437270306146275555657288892825116468219740160) (.f64 692910599291889/10000000000000000 y) (if (<=.f64 z -357745491892888646964871559801252923295695930171972001029247488822585192282257570068317601792) (+.f64 x (.f64 y 279195317918525/3350343815022304)) (if (<=.f64 z -2714892720631347160882519998464) (.f64 692910599291889/10000000000000000 y) (if (<=.f64 z 265345052850626004656038065029745486865845027423005575346205060040492258550472908691703313285587529833028326468873482477375631014414475520582218315461819951969955882010189407388384226149125071275551088543602809023183178602937203200322052227176857600) (+.f64 x (.f64 y 279195317918525/3350343815022304)) (*.f64 692910599291889/10000000000000000 y)))))))
(if (<=.f64 z -1752844745083734943927293840466626853788621354323051223819316121858645909143665474217288852550014019457402673810650248398887799208165862835843264172210806303661726725799544851909581269779724287084433913657105470462384096319456942349564313395014219890100879823805733001307725108346880) (.f64 692910599291889/10000000000000000 y) (if (<=.f64 z -17461040763347044415614942789466494941383919531054189639234704901595855584559878747225595651883253045138461166735394930272838098988172554700352617518915128095989032535669203314956499869541704138752) x (if (<=.f64 z -12786702621535796915673557939464654510216911981468438864174630616877007394837514228750616630211003303823562092880275856268664668437270306146275555657288892825116468219740160) (.f64 692910599291889/10000000000000000 y) (if (<=.f64 z -357745491892888646964871559801252923295695930171972001029247488822585192282257570068317601792) x (if (<=.f64 z -2714892720631347160882519998464) (.f64 692910599291889/10000000000000000 y) (if (<=.f64 z -255359907280065/33554432) x (if (<=.f64 z -3398889735376137/1093625362391505962186251113558810682676584715446606218212885303204976499599687961611756588511526912) (.f64 279195317918525/3350343815022304 y) (if (<=.f64 z 8816174889447073/528294531135665246352339784916516606518847326036121522127960709026673902556724859474417255887657187894674394993257128678882347559502685537250538978462939576908386683999005084168731517676426441053024232908211188404148028292751561738838396898767036476489538580897737998336) x (if (<=.f64 z 8106725330747181/83076749736557242056487941267521536) (.f64 279195317918525/3350343815022304 y) (if (<=.f64 z 14782060900319148458809167064204578751601434781703857487865312501482463490887008904636126393937351960918627311823850868937583454510211618041899014520395943378944) x (.f64 692910599291889/10000000000000000 y)))))))))))
(if (<=.f64 z -1752844745083734943927293840466626853788621354323051223819316121858645909143665474217288852550014019457402673810650248398887799208165862835843264172210806303661726725799544851909581269779724287084433913657105470462384096319456942349564313395014219890100879823805733001307725108346880) (.f64 692910599291889/10000000000000000 y) (if (<=.f64 z -17461040763347044415614942789466494941383919531054189639234704901595855584559878747225595651883253045138461166735394930272838098988172554700352617518915128095989032535669203314956499869541704138752) x (if (<=.f64 z -12786702621535796915673557939464654510216911981468438864174630616877007394837514228750616630211003303823562092880275856268664668437270306146275555657288892825116468219740160) (.f64 692910599291889/10000000000000000 y) (if (<=.f64 z -357745491892888646964871559801252923295695930171972001029247488822585192282257570068317601792) x (if (<=.f64 z -2714892720631347160882519998464) (.f64 692910599291889/10000000000000000 y) (if (<=.f64 z -255359907280065/33554432) x (if (<=.f64 z -3398889735376137/1093625362391505962186251113558810682676584715446606218212885303204976499599687961611756588511526912) (.f64 y 279195317918525/3350343815022304) (if (<=.f64 z 8816174889447073/528294531135665246352339784916516606518847326036121522127960709026673902556724859474417255887657187894674394993257128678882347559502685537250538978462939576908386683999005084168731517676426441053024232908211188404148028292751561738838396898767036476489538580897737998336) x (if (<=.f64 z 8106725330747181/83076749736557242056487941267521536) (.f64 y 279195317918525/3350343815022304) (if (<=.f64 z 14782060900319148458809167064204578751601434781703857487865312501482463490887008904636126393937351960918627311823850868937583454510211618041899014520395943378944) x (.f64 692910599291889/10000000000000000 y)))))))))))
(if (<=.f64 y -186539958282945631745487142912) (.f64 692910599291889/10000000000000000 y) (if (<=.f64 y 2352477745785649/549755813888) x (.f64 692910599291889/10000000000000000 y)))
x

Compiler

Compiled 453 to 313 computations (30.9% saved)

soundness99.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

722×	`fma-def_binary64`
722×	`fma-def_binary64`
94×	`distribute-rgt-out_binary64`
94×	`distribute-rgt-out_binary64`
88×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	25
1	39	25
2	74	23
3	179	23
4	358	23
5	619	23
6	883	23
7	1015	23
8	1261	23
9	1679	23
10	1743	23
11	1744	23
0	19	25
1	39	25
2	74	23
3	179	23
4	358	23
5	619	23
6	883	23
7	1015	23
8	1261	23
9	1679	23
10	1743	23
11	1744	23

Stop Event

1×	saturated
1×	saturated

Compiler

Compiled 406 to 298 computations (26.6% saved)

end198.0ms (1.2%)

Compiler: Compiled 420 to 278 computations (33.8% saved)