Details

analyze251.0ms (3.7%)

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
12.5%	12.5%	87.4%	0.1%	0%	0%	0%	7
18.8%	18.7%	81.1%	0.1%	0%	0%	0%	8
26%	25%	71%	0.1%	3.9%	0%	0%	9
36.7%	34.3%	59.3%	0.1%	6.2%	0%	0%	10
44.3%	41.3%	52%	0.1%	6.5%	0%	0%	11
51.6%	46.8%	43.8%	0.1%	9.2%	0%	0%	12

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample1.1s (16.3%)

Results

909.0ms	7991×	body	256	valid
128.0ms	1139×	body	256	infinite
47.0ms	164×	body	1024	valid
18.0ms	100×	body	512	valid
0.0ms	1×	body	2048	valid

Bogosity

preprocess24.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

82×	`fma-def_binary64`
26×	`+-commutative_binary64`
16×	`*-commutative_binary64`
14×	`associate-+r+_binary64`
14×	`associate-+l+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	44
1	54	44
2	137	44
3	200	44
4	226	44
5	230	44
0	3	3

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

Inputs
(+.f64 (.f64 x (+.f64 y z)) (.f64 z 5))
(+.f64 (.f64 y (+.f64 x z)) (.f64 z 5))
(+.f64 (.f64 z (+.f64 y x)) (.f64 x 5))
(+.f64 (.f64 x (+.f64 z y)) (.f64 y 5))

Outputs
(+.f64 (.f64 x (+.f64 y z)) (.f64 z 5))
(fma.f64 x (+.f64 y z) (*.f64 z 5))
(+.f64 (.f64 y (+.f64 x z)) (.f64 z 5))
(fma.f64 y (+.f64 x z) (*.f64 z 5))
(fma.f64 x y (*.f64 z (+.f64 y 5)))
(+.f64 (.f64 z (+.f64 y x)) (.f64 x 5))
(fma.f64 z (+.f64 x y) (*.f64 x 5))
(fma.f64 x 5 (*.f64 z (+.f64 x y)))
(+.f64 (.f64 x (+.f64 z y)) (.f64 y 5))
(fma.f64 x (+.f64 y z) (*.f64 y 5))
(fma.f64 x z (*.f64 y (+.f64 x 5)))

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

22×	`fma-def_binary64`
7×	`+-commutative_binary64`
5×	`*-commutative_binary64`
3×	`associate-+r+_binary64`
3×	`associate-+l+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	20	11
2	37	11
3	53	11
4	63	11
5	64	11

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

Inputs
(+.f64 (.f64 x (+.f64 y z)) (.f64 z 5))

Outputs
(+.f64 (.f64 x (+.f64 y z)) (.f64 z 5))
(fma.f64 x (+.f64 y z) (*.f64 z 5))

eval1.0ms (0%)

Compiler: Compiled 20 to 11 computations (45% 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

0.1b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(fma.f64 x (+.f64 y z) (*.f64 z 5))
▶	0.1b	(+.f64 (.f64 x (+.f64 y z)) (.f64 z 5))

Compiler

Compiled 23 to 15 computations (34.8% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 x (+.f64 y z))
✓	0.0b	(+.f64 (.f64 x (+.f64 y z)) (.f64 z 5))

Compiler

Compiled 27 to 11 computations (59.3% saved)

series127.0ms (1.9%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
120.0ms	x	@	0	(+.f64 (.f64 x (+.f64 y z)) (.f64 z 5))
1.0ms	x	@	inf	(+.f64 (.f64 x (+.f64 y z)) (.f64 z 5))
1.0ms	y	@	inf	(+.f64 (.f64 x (+.f64 y z)) (.f64 z 5))
1.0ms	z	@	inf	(+.f64 (.f64 x (+.f64 y z)) (.f64 z 5))
1.0ms	x	@	-inf	(+.f64 (.f64 x (+.f64 y z)) (.f64 z 5))

rewrite157.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

558×	`fma-def_binary64`
517×	`log-prod_binary64`
404×	`pow-prod-down_binary64`
281×	`pow2_binary64`
248×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	18
1	206	18
2	3064	18

Stop Event

1×	node limit

Counts

2 → 137

Calls

Call 1

Inputs
(+.f64 (.f64 x (+.f64 y z)) (.f64 z 5))
(*.f64 x (+.f64 y z))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x (+.f64 y z) (.f64 z 5)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (.f64 x (+.f64 y z)) 2) (fma.f64 x (+.f64 y z) (.f64 -5 z))) (/.f64 (.f64 25 (.f64 z z)) (fma.f64 x (+.f64 y z) (.f64 -5 z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x (+.f64 y z) (.f64 z 5)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 x (+.f64 y z) (.f64 z 5)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 x (+.f64 y z) (.f64 z 5))) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y z) (.f64 z 5))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y z) (.f64 z 5))) 2) (cbrt.f64 (fma.f64 x (+.f64 y z) (.f64 z 5))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 z 5))) (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 z 5))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 125 (pow.f64 z 3) (pow.f64 (.f64 x (+.f64 y z)) 3)) (/.f64 1 (fma.f64 (.f64 z 5) (-.f64 (.f64 z 5) (.f64 x (+.f64 y z))) (pow.f64 (.f64 x (+.f64 y z)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 (.f64 x (+.f64 y z)) 2) (.f64 25 (.f64 z z))) (/.f64 1 (fma.f64 x (+.f64 y z) (.f64 -5 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (.f64 z 5) (-.f64 (.f64 z 5) (.f64 x (+.f64 y z))) (pow.f64 (.f64 x (+.f64 y z)) 2)) (fma.f64 125 (pow.f64 z 3) (pow.f64 (.f64 x (+.f64 y z)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x (+.f64 y z) (.f64 -5 z)) (-.f64 (pow.f64 (.f64 x (+.f64 y z)) 2) (.f64 25 (.f64 z z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 125 (pow.f64 z 3) (pow.f64 (.f64 x (+.f64 y z)) 3)) (fma.f64 (.f64 z 5) (-.f64 (.f64 z 5) (.f64 x (+.f64 y z))) (pow.f64 (.f64 x (+.f64 y z)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 125 (pow.f64 z 3) (pow.f64 (.f64 x (+.f64 y z)) 3)) (fma.f64 25 (.f64 z z) (-.f64 (pow.f64 (.f64 x (+.f64 y z)) 2) (.f64 x (.f64 (+.f64 y z) (.f64 z 5))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 x (+.f64 y z)) 2) (.f64 25 (.f64 z z))) (fma.f64 x (+.f64 y z) (.f64 -5 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 125 (pow.f64 z 3) (pow.f64 (.f64 x (+.f64 y z)) 3))) (neg.f64 (fma.f64 (.f64 z 5) (-.f64 (.f64 z 5) (.f64 x (+.f64 y z))) (pow.f64 (.f64 x (+.f64 y z)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (.f64 x (+.f64 y z)) 2) (.f64 25 (.f64 z z)))) (neg.f64 (fma.f64 x (+.f64 y z) (.f64 -5 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 25 (.f64 z z)) (pow.f64 (.f64 x (+.f64 y z)) 2)) (-.f64 (.f64 z 5) (.f64 x (+.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (+.f64 y z) (.f64 z 5)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (+.f64 y z) (.f64 z 5)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (+.f64 y z) (.f64 z 5)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y z) (.f64 z 5))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 z 5))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (.f64 z 5) (-.f64 (.f64 z 5) (.f64 x (+.f64 y z))) (pow.f64 (.f64 x (+.f64 y z)) 2)) (fma.f64 125 (pow.f64 z 3) (pow.f64 (.f64 x (+.f64 y z)) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x (+.f64 y z) (.f64 -5 z)) (-.f64 (pow.f64 (.f64 x (+.f64 y z)) 2) (.f64 25 (.f64 z z)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (+.f64 y z) (.f64 z 5)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (+.f64 y z) (.f64 z 5))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (+.f64 y z) (.f64 z 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x (+.f64 y z)))) (pow.f64 (exp.f64 5) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (pow.f64 (exp.f64 x) (+.f64 y z)) (+.f64 1 (expm1.f64 (.f64 z 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x (+.f64 y z)))) (+.f64 1 (expm1.f64 (.f64 z 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 z 5))) (pow.f64 (exp.f64 x) (+.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (pow.f64 (exp.f64 5) z) (+.f64 1 (expm1.f64 (.f64 x (+.f64 y z))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 z 5))) (+.f64 1 (expm1.f64 (.f64 x (+.f64 y z))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (+.f64 y z) (.f64 z 5)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (+.f64 y z) (.f64 z 5))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x (+.f64 y z)) 1 (.f64 z 5))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 5 z (.f64 x (+.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 z 5) 1 (.f64 x (+.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 x (+.f64 y z)) (.f64 z 5))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 z 5) (.f64 x (+.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 x y) (fma.f64 x z (.f64 z 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 z 5)) (cbrt.f64 (.f64 25 (.f64 z z))) (.f64 x (+.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 25 (.f64 z z))) (cbrt.f64 (.f64 z 5)) (.f64 x (+.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 y z)) 2) (.f64 (cbrt.f64 (+.f64 y z)) x) (.f64 z 5))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) y) (fma.f64 x z (.f64 z 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (+.f64 y z)) (.f64 z 5))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 x (+.f64 y z))) (pow.f64 (cbrt.f64 (.f64 x (+.f64 y z))) 2) (.f64 z 5))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 y z))) 2) (cbrt.f64 (.f64 x (+.f64 y z))) (.f64 z 5))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 (cbrt.f64 y) x) (fma.f64 x z (.f64 z 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 z z)) (.f64 (cbrt.f64 z) 5) (.f64 x (+.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 z 5)) (sqrt.f64 (.f64 z 5)) (.f64 x (+.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 y z)) (.f64 (sqrt.f64 (+.f64 y z)) x) (.f64 z 5))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) y) (fma.f64 x z (.f64 z 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (+.f64 y z)) (.f64 z 5))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 x (+.f64 y z))) (sqrt.f64 (.f64 x (+.f64 y z))) (.f64 z 5))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) x) (fma.f64 x z (.f64 z 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) 5) (.f64 x (+.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 x y)) 2) (cbrt.f64 (.f64 x y)) (fma.f64 x z (.f64 z 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 (.f64 x y)) (fma.f64 x z (.f64 z 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 5 (cbrt.f64 (.f64 z z))) (cbrt.f64 z) (.f64 x (+.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 5 (sqrt.f64 z)) (sqrt.f64 z) (.f64 x (+.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (fma.f64 x z (.f64 z 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x (sqrt.f64 y)) (sqrt.f64 y) (fma.f64 x z (.f64 z 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 y (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (fma.f64 x z (.f64 z 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 y (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 x z (.f64 z 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x (pow.f64 (cbrt.f64 (+.f64 y z)) 2)) (cbrt.f64 (+.f64 y z)) (.f64 z 5))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x (sqrt.f64 (+.f64 y z))) (sqrt.f64 (+.f64 y z)) (.f64 z 5))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (+.f64 y z) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 z 5))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (+.f64 y z) (sqrt.f64 x)) (sqrt.f64 x) (.f64 z 5))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x y) (.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x z) (.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 x (+.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 x y) 1) (.f64 (.f64 x z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 y z))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 y z)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x (+.f64 y z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 x z) 3)) (+.f64 (pow.f64 (.f64 x y) 2) (-.f64 (pow.f64 (.f64 x z) 2) (.f64 (.f64 x y) (.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 x 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Outputs

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z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 5 (sqrt.f64 z)) (sqrt.f64 z) (*.f64 x (+.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (fma.f64 x z (*.f64 z 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (fma.f64 x z (*.f64 z 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (fma.f64 x z (*.f64 z 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 x z (*.f64 z 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (+.f64 y z)) 2)) (cbrt.f64 (+.f64 y z)) (*.f64 z 5))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 (+.f64 y z))) (sqrt.f64 (+.f64 y z)) (*.f64 z 5))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 y z) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 z 5))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 y z) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 z 5))))))

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

simplify141.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

354×	`fma-neg_binary64`
318×	`fma-def_binary64`
86×	`cancel-sign-sub-inv_binary64`
55×	`unsub-neg_binary64`
54×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	582
1	60	582
2	109	582
3	195	582
4	340	582
5	612	582
6	1190	582
7	1578	582
8	1628	582
9	1634	582

Stop Event

1×

saturated

Counts

209 → 151

Calls

Call 1

Inputs
(*.f64 5 z)
(+.f64 (.f64 (+.f64 y z) x) (.f64 5 z))
(+.f64 (.f64 (+.f64 y z) x) (.f64 5 z))
(+.f64 (.f64 (+.f64 y z) x) (.f64 5 z))
(*.f64 (+.f64 y z) x)
(+.f64 (.f64 (+.f64 y z) x) (.f64 5 z))
(+.f64 (.f64 (+.f64 y z) x) (.f64 5 z))
(+.f64 (.f64 (+.f64 y z) x) (.f64 5 z))
(*.f64 (+.f64 y z) x)
(+.f64 (.f64 (+.f64 y z) x) (.f64 5 z))
(+.f64 (.f64 (+.f64 y z) x) (.f64 5 z))
(+.f64 (.f64 (+.f64 y z) x) (.f64 5 z))
(+.f64 (.f64 z x) (.f64 5 z))
(+.f64 (.f64 z x) (+.f64 (.f64 y x) (*.f64 5 z)))
(+.f64 (.f64 z x) (+.f64 (.f64 y x) (*.f64 5 z)))
(+.f64 (.f64 z x) (+.f64 (.f64 y x) (*.f64 5 z)))
(*.f64 y x)
(+.f64 (.f64 z x) (+.f64 (.f64 y x) (*.f64 5 z)))
(+.f64 (.f64 z x) (+.f64 (.f64 y x) (*.f64 5 z)))
(+.f64 (.f64 z x) (+.f64 (.f64 y x) (*.f64 5 z)))
(*.f64 y x)
(+.f64 (.f64 z x) (+.f64 (.f64 y x) (*.f64 5 z)))
(+.f64 (.f64 z x) (+.f64 (.f64 y x) (*.f64 5 z)))
(+.f64 (.f64 z x) (+.f64 (.f64 y x) (*.f64 5 z)))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 z (+.f64 5 x)))
(+.f64 (.f64 y x) (.f64 z (+.f64 5 x)))
(+.f64 (.f64 y x) (.f64 z (+.f64 5 x)))
(*.f64 z (+.f64 5 x))
(+.f64 (.f64 y x) (.f64 z (+.f64 5 x)))
(+.f64 (.f64 y x) (.f64 z (+.f64 5 x)))
(+.f64 (.f64 y x) (.f64 z (+.f64 5 x)))
(.f64 -1 (.f64 z (-.f64 (*.f64 -1 x) 5)))
(+.f64 (.f64 -1 (.f64 z (-.f64 (.f64 -1 x) 5))) (.f64 y x))
(+.f64 (.f64 -1 (.f64 z (-.f64 (.f64 -1 x) 5))) (.f64 y x))
(+.f64 (.f64 -1 (.f64 z (-.f64 (.f64 -1 x) 5))) (.f64 y x))
(*.f64 (+.f64 y z) x)
(*.f64 (+.f64 y z) x)
(*.f64 (+.f64 y z) x)
(*.f64 (+.f64 y z) x)
(*.f64 (+.f64 y z) x)
(*.f64 (+.f64 y z) x)
(*.f64 (+.f64 y z) x)
(*.f64 (+.f64 y z) x)
(*.f64 (+.f64 y z) x)
(*.f64 (+.f64 y z) x)
(*.f64 (+.f64 y z) x)
(*.f64 (+.f64 y z) x)
(*.f64 z x)
(+.f64 (.f64 z x) (.f64 y x))
(+.f64 (.f64 z x) (.f64 y x))
(+.f64 (.f64 z x) (.f64 y x))
(*.f64 y x)
(+.f64 (.f64 z x) (.f64 y x))
(+.f64 (.f64 z x) (.f64 y x))
(+.f64 (.f64 z x) (.f64 y x))
(*.f64 y x)
(+.f64 (.f64 z x) (.f64 y x))
(+.f64 (.f64 z x) (.f64 y x))
(+.f64 (.f64 z x) (.f64 y x))
(*.f64 y x)
(+.f64 (.f64 z x) (.f64 y x))
(+.f64 (.f64 z x) (.f64 y x))
(+.f64 (.f64 z x) (.f64 y x))
(*.f64 z x)
(+.f64 (.f64 z x) (.f64 y x))
(+.f64 (.f64 z x) (.f64 y x))
(+.f64 (.f64 z x) (.f64 y x))
(*.f64 z x)
(+.f64 (.f64 z x) (.f64 y x))
(+.f64 (.f64 z x) (.f64 y x))
(+.f64 (.f64 z x) (.f64 y x))

Outputs
(*.f64 5 z)
(+.f64 (.f64 (+.f64 y z) x) (.f64 5 z))
(fma.f64 (+.f64 z y) x (*.f64 5 z))
(fma.f64 z (+.f64 5 x) (*.f64 y x))
(fma.f64 5 z (*.f64 (+.f64 z y) x))
(+.f64 (.f64 (+.f64 y z) x) (.f64 5 z))
(fma.f64 (+.f64 z y) x (*.f64 5 z))
(fma.f64 z (+.f64 5 x) (*.f64 y x))
(fma.f64 5 z (*.f64 (+.f64 z y) x))
(+.f64 (.f64 (+.f64 y z) x) (.f64 5 z))
(fma.f64 (+.f64 z y) x (*.f64 5 z))
(fma.f64 z (+.f64 5 x) (*.f64 y x))
(fma.f64 5 z (*.f64 (+.f64 z y) x))
(*.f64 (+.f64 y z) x)
(*.f64 (+.f64 z y) x)
(+.f64 (.f64 (+.f64 y z) x) (.f64 5 z))
(fma.f64 (+.f64 z y) x (*.f64 5 z))
(fma.f64 z (+.f64 5 x) (*.f64 y x))
(fma.f64 5 z (*.f64 (+.f64 z y) x))
(+.f64 (.f64 (+.f64 y z) x) (.f64 5 z))
(fma.f64 (+.f64 z y) x (*.f64 5 z))
(fma.f64 z (+.f64 5 x) (*.f64 y x))
(fma.f64 5 z (*.f64 (+.f64 z y) x))
(+.f64 (.f64 (+.f64 y z) x) (.f64 5 z))
(fma.f64 (+.f64 z y) x (*.f64 5 z))
(fma.f64 z (+.f64 5 x) (*.f64 y x))
(fma.f64 5 z (*.f64 (+.f64 z y) x))
(*.f64 (+.f64 y z) x)
(*.f64 (+.f64 z y) x)
(+.f64 (.f64 (+.f64 y z) x) (.f64 5 z))
(fma.f64 (+.f64 z y) x (*.f64 5 z))
(fma.f64 z (+.f64 5 x) (*.f64 y x))
(fma.f64 5 z (*.f64 (+.f64 z y) x))
(+.f64 (.f64 (+.f64 y z) x) (.f64 5 z))
(fma.f64 (+.f64 z y) x (*.f64 5 z))
(fma.f64 z (+.f64 5 x) (*.f64 y x))
(fma.f64 5 z (*.f64 (+.f64 z y) x))
(+.f64 (.f64 (+.f64 y z) x) (.f64 5 z))
(fma.f64 (+.f64 z y) x (*.f64 5 z))
(fma.f64 z (+.f64 5 x) (*.f64 y x))
(fma.f64 5 z (*.f64 (+.f64 z y) x))
(+.f64 (.f64 z x) (.f64 5 z))
(*.f64 z (+.f64 5 x))
(+.f64 (.f64 z x) (+.f64 (.f64 y x) (*.f64 5 z)))
(fma.f64 (+.f64 z y) x (*.f64 5 z))
(fma.f64 z (+.f64 5 x) (*.f64 y x))
(fma.f64 5 z (*.f64 (+.f64 z y) x))
(+.f64 (.f64 z x) (+.f64 (.f64 y x) (*.f64 5 z)))
(fma.f64 (+.f64 z y) x (*.f64 5 z))
(fma.f64 z (+.f64 5 x) (*.f64 y x))
(fma.f64 5 z (*.f64 (+.f64 z y) x))
(+.f64 (.f64 z x) (+.f64 (.f64 y x) (*.f64 5 z)))
(fma.f64 (+.f64 z y) x (*.f64 5 z))
(fma.f64 z (+.f64 5 x) (*.f64 y x))
(fma.f64 5 z (*.f64 (+.f64 z y) x))
(*.f64 y x)
(+.f64 (.f64 z x) (+.f64 (.f64 y x) (*.f64 5 z)))
(fma.f64 (+.f64 z y) x (*.f64 5 z))
(fma.f64 z (+.f64 5 x) (*.f64 y x))
(fma.f64 5 z (*.f64 (+.f64 z y) x))
(+.f64 (.f64 z x) (+.f64 (.f64 y x) (*.f64 5 z)))
(fma.f64 (+.f64 z y) x (*.f64 5 z))
(fma.f64 z (+.f64 5 x) (*.f64 y x))
(fma.f64 5 z (*.f64 (+.f64 z y) x))
(+.f64 (.f64 z x) (+.f64 (.f64 y x) (*.f64 5 z)))
(fma.f64 (+.f64 z y) x (*.f64 5 z))
(fma.f64 z (+.f64 5 x) (*.f64 y x))
(fma.f64 5 z (*.f64 (+.f64 z y) x))
(*.f64 y x)
(+.f64 (.f64 z x) (+.f64 (.f64 y x) (*.f64 5 z)))
(fma.f64 (+.f64 z y) x (*.f64 5 z))
(fma.f64 z (+.f64 5 x) (*.f64 y x))
(fma.f64 5 z (*.f64 (+.f64 z y) x))
(+.f64 (.f64 z x) (+.f64 (.f64 y x) (*.f64 5 z)))
(fma.f64 (+.f64 z y) x (*.f64 5 z))
(fma.f64 z (+.f64 5 x) (*.f64 y x))
(fma.f64 5 z (*.f64 (+.f64 z y) x))
(+.f64 (.f64 z x) (+.f64 (.f64 y x) (*.f64 5 z)))
(fma.f64 (+.f64 z y) x (*.f64 5 z))
(fma.f64 z (+.f64 5 x) (*.f64 y x))
(fma.f64 5 z (*.f64 (+.f64 z y) x))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 z (+.f64 5 x)))
(fma.f64 (+.f64 z y) x (*.f64 5 z))
(fma.f64 z (+.f64 5 x) (*.f64 y x))
(fma.f64 5 z (*.f64 (+.f64 z y) x))
(+.f64 (.f64 y x) (.f64 z (+.f64 5 x)))
(fma.f64 (+.f64 z y) x (*.f64 5 z))
(fma.f64 z (+.f64 5 x) (*.f64 y x))
(fma.f64 5 z (*.f64 (+.f64 z y) x))
(+.f64 (.f64 y x) (.f64 z (+.f64 5 x)))
(fma.f64 (+.f64 z y) x (*.f64 5 z))
(fma.f64 z (+.f64 5 x) (*.f64 y x))
(fma.f64 5 z (*.f64 (+.f64 z y) x))
(*.f64 z (+.f64 5 x))
(+.f64 (.f64 y x) (.f64 z (+.f64 5 x)))
(fma.f64 (+.f64 z y) x (*.f64 5 z))
(fma.f64 z (+.f64 5 x) (*.f64 y x))
(fma.f64 5 z (*.f64 (+.f64 z y) x))
(+.f64 (.f64 y x) (.f64 z (+.f64 5 x)))
(fma.f64 (+.f64 z y) x (*.f64 5 z))
(fma.f64 z (+.f64 5 x) (*.f64 y x))
(fma.f64 5 z (*.f64 (+.f64 z y) x))
(+.f64 (.f64 y x) (.f64 z (+.f64 5 x)))
(fma.f64 (+.f64 z y) x (*.f64 5 z))
(fma.f64 z (+.f64 5 x) (*.f64 y x))
(fma.f64 5 z (*.f64 (+.f64 z y) x))
(.f64 -1 (.f64 z (-.f64 (*.f64 -1 x) 5)))
(*.f64 z (+.f64 5 x))
(+.f64 (.f64 -1 (.f64 z (-.f64 (.f64 -1 x) 5))) (.f64 y x))
(fma.f64 (+.f64 z y) x (*.f64 5 z))
(fma.f64 z (+.f64 5 x) (*.f64 y x))
(fma.f64 5 z (*.f64 (+.f64 z y) x))
(+.f64 (.f64 -1 (.f64 z (-.f64 (.f64 -1 x) 5))) (.f64 y x))
(fma.f64 (+.f64 z y) x (*.f64 5 z))
(fma.f64 z (+.f64 5 x) (*.f64 y x))
(fma.f64 5 z (*.f64 (+.f64 z y) x))
(+.f64 (.f64 -1 (.f64 z (-.f64 (.f64 -1 x) 5))) (.f64 y x))
(fma.f64 (+.f64 z y) x (*.f64 5 z))
(fma.f64 z (+.f64 5 x) (*.f64 y x))
(fma.f64 5 z (*.f64 (+.f64 z y) x))
(*.f64 (+.f64 y z) x)
(*.f64 (+.f64 z y) x)
(*.f64 (+.f64 y z) x)
(*.f64 (+.f64 z y) x)
(*.f64 (+.f64 y z) x)
(*.f64 (+.f64 z y) x)
(*.f64 (+.f64 y z) x)
(*.f64 (+.f64 z y) x)
(*.f64 (+.f64 y z) x)
(*.f64 (+.f64 z y) x)
(*.f64 (+.f64 y z) x)
(*.f64 (+.f64 z y) x)
(*.f64 (+.f64 y z) x)
(*.f64 (+.f64 z y) x)
(*.f64 (+.f64 y z) x)
(*.f64 (+.f64 z y) x)
(*.f64 (+.f64 y z) x)
(*.f64 (+.f64 z y) x)
(*.f64 (+.f64 y z) x)
(*.f64 (+.f64 z y) x)
(*.f64 (+.f64 y z) x)
(*.f64 (+.f64 z y) x)
(*.f64 (+.f64 y z) x)
(*.f64 (+.f64 z y) x)
(*.f64 z x)
(+.f64 (.f64 z x) (.f64 y x))
(*.f64 (+.f64 z y) x)
(+.f64 (.f64 z x) (.f64 y x))
(*.f64 (+.f64 z y) x)
(+.f64 (.f64 z x) (.f64 y x))
(*.f64 (+.f64 z y) x)
(*.f64 y x)
(+.f64 (.f64 z x) (.f64 y x))
(*.f64 (+.f64 z y) x)
(+.f64 (.f64 z x) (.f64 y x))
(*.f64 (+.f64 z y) x)
(+.f64 (.f64 z x) (.f64 y x))
(*.f64 (+.f64 z y) x)
(*.f64 y x)
(+.f64 (.f64 z x) (.f64 y x))
(*.f64 (+.f64 z y) x)
(+.f64 (.f64 z x) (.f64 y x))
(*.f64 (+.f64 z y) x)
(+.f64 (.f64 z x) (.f64 y x))
(*.f64 (+.f64 z y) x)
(*.f64 y x)
(+.f64 (.f64 z x) (.f64 y x))
(*.f64 (+.f64 z y) x)
(+.f64 (.f64 z x) (.f64 y x))
(*.f64 (+.f64 z y) x)
(+.f64 (.f64 z x) (.f64 y x))
(*.f64 (+.f64 z y) x)
(*.f64 z x)
(+.f64 (.f64 z x) (.f64 y x))
(*.f64 (+.f64 z y) x)
(+.f64 (.f64 z x) (.f64 y x))
(*.f64 (+.f64 z y) x)
(+.f64 (.f64 z x) (.f64 y x))
(*.f64 (+.f64 z y) x)
(*.f64 z x)
(+.f64 (.f64 z x) (.f64 y x))
(*.f64 (+.f64 z y) x)
(+.f64 (.f64 z x) (.f64 y x))
(*.f64 (+.f64 z y) x)
(+.f64 (.f64 z x) (.f64 y x))
(*.f64 (+.f64 z y) x)

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 x (+.f64 y z) (*.f64 z 5))

Compiler

Compiled 21 to 10 computations (52.4% saved)

series5.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(fma.f64 x (+.f64 y z) (*.f64 z 5))
1.0ms	z	@	-inf	(fma.f64 x (+.f64 y z) (*.f64 z 5))
0.0ms	z	@	inf	(fma.f64 x (+.f64 y z) (*.f64 z 5))
0.0ms	x	@	-inf	(fma.f64 x (+.f64 y z) (*.f64 z 5))
0.0ms	y	@	0	(fma.f64 x (+.f64 y z) (*.f64 z 5))

rewrite157.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

898×	`pow1_binary64`
834×	`add-log-exp_binary64`
834×	`log1p-expm1-u_binary64`
834×	`expm1-log1p-u_binary64`
816×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	170	11
2	2213	11

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

Inputs
(fma.f64 x (+.f64 y z) (*.f64 z 5))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 z 5) (.f64 x (+.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (+.f64 y z)) (.f64 z 5))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 x (+.f64 y z)) 1) (.f64 z 5))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x (+.f64 y z) (.f64 z 5))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x (+.f64 y z) (.f64 z 5)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 x (+.f64 y z) (.f64 z 5)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 x (+.f64 y z) (.f64 z 5))) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y z) (.f64 z 5))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y z) (.f64 z 5))) 2) (cbrt.f64 (fma.f64 x (+.f64 y z) (.f64 z 5))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 z 5))) (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 z 5))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 x (+.f64 y z)) 3) (pow.f64 (.f64 z 5) 3)) (+.f64 (.f64 (.f64 x (+.f64 y z)) (.f64 x (+.f64 y z))) (-.f64 (.f64 25 (.f64 z z)) (.f64 (.f64 x (+.f64 y z)) (.f64 z 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 x (+.f64 y z)) (.f64 x (+.f64 y z))) (.f64 25 (.f64 z z))) (-.f64 (.f64 x (+.f64 y z)) (.f64 z 5)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (+.f64 y z) (.f64 z 5)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (+.f64 y z) (.f64 z 5)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y z) (.f64 z 5))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 z 5))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (+.f64 y z) (.f64 z 5)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (+.f64 y z) (.f64 z 5))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (+.f64 y z) (.f64 z 5)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (+.f64 y z) (.f64 z 5))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (+.f64 y z) (.f64 z 5))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (+.f64 y z) (.f64 z 5))))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z 5) (*.f64 x (+.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (+.f64 y z)) (*.f64 z 5))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (+.f64 y z)) 1) (*.f64 z 5))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x (+.f64 y z) (*.f64 z 5))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (+.f64 y z) (*.f64 z 5)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x (+.f64 y z) (*.f64 z 5)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (+.f64 y z) (*.f64 z 5))) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y z) (*.f64 z 5))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y z) (*.f64 z 5))) 2) (cbrt.f64 (fma.f64 x (+.f64 y z) (*.f64 z 5))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 z 5))) (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 z 5))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 y z)) 3) (pow.f64 (*.f64 z 5) 3)) (+.f64 (*.f64 (*.f64 x (+.f64 y z)) (*.f64 x (+.f64 y z))) (-.f64 (*.f64 25 (*.f64 z z)) (*.f64 (*.f64 x (+.f64 y z)) (*.f64 z 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x (+.f64 y z)) (*.f64 x (+.f64 y z))) (*.f64 25 (*.f64 z z))) (-.f64 (*.f64 x (+.f64 y z)) (*.f64 z 5)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (+.f64 y z) (*.f64 z 5)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (+.f64 y z) (*.f64 z 5)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y z) (*.f64 z 5))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 z 5))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (+.f64 y z) (*.f64 z 5)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (+.f64 y z) (*.f64 z 5))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (+.f64 y z) (*.f64 z 5)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (+.f64 y z) (*.f64 z 5))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (+.f64 y z) (*.f64 z 5))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (+.f64 y z) (*.f64 z 5))))))))

simplify51.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

354×	`fma-neg_binary64`
318×	`fma-def_binary64`
90×	`cancel-sign-sub-inv_binary64`
55×	`distribute-rgt-in_binary64`
55×	`unsub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	348
1	57	348
2	106	348
3	201	348
4	348	348
5	624	348
6	1203	348
7	1599	348
8	1649	348
9	1655	348

Stop Event

1×

saturated

Counts

57 → 33

Calls

Call 1

Inputs
(*.f64 5 z)
(+.f64 (.f64 (+.f64 y z) x) (.f64 5 z))
(+.f64 (.f64 (+.f64 y z) x) (.f64 5 z))
(+.f64 (.f64 (+.f64 y z) x) (.f64 5 z))
(*.f64 (+.f64 y z) x)
(+.f64 (.f64 (+.f64 y z) x) (.f64 5 z))
(+.f64 (.f64 (+.f64 y z) x) (.f64 5 z))
(+.f64 (.f64 (+.f64 y z) x) (.f64 5 z))
(*.f64 (+.f64 y z) x)
(+.f64 (.f64 (+.f64 y z) x) (.f64 5 z))
(+.f64 (.f64 (+.f64 y z) x) (.f64 5 z))
(+.f64 (.f64 (+.f64 y z) x) (.f64 5 z))
(+.f64 (.f64 z x) (.f64 5 z))
(+.f64 (.f64 z x) (+.f64 (.f64 y x) (*.f64 5 z)))
(+.f64 (.f64 z x) (+.f64 (.f64 y x) (*.f64 5 z)))
(+.f64 (.f64 z x) (+.f64 (.f64 y x) (*.f64 5 z)))
(*.f64 y x)
(+.f64 (.f64 z x) (+.f64 (.f64 y x) (*.f64 5 z)))
(+.f64 (.f64 z x) (+.f64 (.f64 y x) (*.f64 5 z)))
(+.f64 (.f64 z x) (+.f64 (.f64 y x) (*.f64 5 z)))
(*.f64 y x)
(+.f64 (.f64 z x) (+.f64 (.f64 y x) (*.f64 5 z)))
(+.f64 (.f64 z x) (+.f64 (.f64 y x) (*.f64 5 z)))
(+.f64 (.f64 z x) (+.f64 (.f64 y x) (*.f64 5 z)))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 z (+.f64 5 x)))
(+.f64 (.f64 y x) (.f64 z (+.f64 5 x)))
(+.f64 (.f64 y x) (.f64 z (+.f64 5 x)))
(*.f64 z (+.f64 5 x))
(+.f64 (.f64 y x) (.f64 z (+.f64 5 x)))
(+.f64 (.f64 y x) (.f64 z (+.f64 5 x)))
(+.f64 (.f64 y x) (.f64 z (+.f64 5 x)))
(.f64 -1 (.f64 z (-.f64 (*.f64 -1 x) 5)))
(+.f64 (.f64 -1 (.f64 z (-.f64 (.f64 -1 x) 5))) (.f64 y x))
(+.f64 (.f64 -1 (.f64 z (-.f64 (.f64 -1 x) 5))) (.f64 y x))
(+.f64 (.f64 -1 (.f64 z (-.f64 (.f64 -1 x) 5))) (.f64 y x))

Outputs
(*.f64 5 z)
(+.f64 (.f64 (+.f64 y z) x) (.f64 5 z))
(fma.f64 (+.f64 z y) x (*.f64 5 z))
(fma.f64 z (+.f64 5 x) (*.f64 y x))
(fma.f64 5 z (*.f64 (+.f64 z y) x))
(fma.f64 x (+.f64 z y) (*.f64 5 z))
(fma.f64 5 z (*.f64 x (+.f64 z y)))
(+.f64 (.f64 (+.f64 y z) x) (.f64 5 z))
(fma.f64 (+.f64 z y) x (*.f64 5 z))
(fma.f64 z (+.f64 5 x) (*.f64 y x))
(fma.f64 5 z (*.f64 (+.f64 z y) x))
(fma.f64 x (+.f64 z y) (*.f64 5 z))
(fma.f64 5 z (*.f64 x (+.f64 z y)))
(+.f64 (.f64 (+.f64 y z) x) (.f64 5 z))
(fma.f64 (+.f64 z y) x (*.f64 5 z))
(fma.f64 z (+.f64 5 x) (*.f64 y x))
(fma.f64 5 z (*.f64 (+.f64 z y) x))
(fma.f64 x (+.f64 z y) (*.f64 5 z))
(fma.f64 5 z (*.f64 x (+.f64 z y)))
(*.f64 (+.f64 y z) x)
(*.f64 (+.f64 z y) x)
(*.f64 x (+.f64 z y))
(+.f64 (.f64 (+.f64 y z) x) (.f64 5 z))
(fma.f64 (+.f64 z y) x (*.f64 5 z))
(fma.f64 z (+.f64 5 x) (*.f64 y x))
(fma.f64 5 z (*.f64 (+.f64 z y) x))
(fma.f64 x (+.f64 z y) (*.f64 5 z))
(fma.f64 5 z (*.f64 x (+.f64 z y)))
(+.f64 (.f64 (+.f64 y z) x) (.f64 5 z))
(fma.f64 (+.f64 z y) x (*.f64 5 z))
(fma.f64 z (+.f64 5 x) (*.f64 y x))
(fma.f64 5 z (*.f64 (+.f64 z y) x))
(fma.f64 x (+.f64 z y) (*.f64 5 z))
(fma.f64 5 z (*.f64 x (+.f64 z y)))
(+.f64 (.f64 (+.f64 y z) x) (.f64 5 z))
(fma.f64 (+.f64 z y) x (*.f64 5 z))
(fma.f64 z (+.f64 5 x) (*.f64 y x))
(fma.f64 5 z (*.f64 (+.f64 z y) x))
(fma.f64 x (+.f64 z y) (*.f64 5 z))
(fma.f64 5 z (*.f64 x (+.f64 z y)))
(*.f64 (+.f64 y z) x)
(*.f64 (+.f64 z y) x)
(*.f64 x (+.f64 z y))
(+.f64 (.f64 (+.f64 y z) x) (.f64 5 z))
(fma.f64 (+.f64 z y) x (*.f64 5 z))
(fma.f64 z (+.f64 5 x) (*.f64 y x))
(fma.f64 5 z (*.f64 (+.f64 z y) x))
(fma.f64 x (+.f64 z y) (*.f64 5 z))
(fma.f64 5 z (*.f64 x (+.f64 z y)))
(+.f64 (.f64 (+.f64 y z) x) (.f64 5 z))
(fma.f64 (+.f64 z y) x (*.f64 5 z))
(fma.f64 z (+.f64 5 x) (*.f64 y x))
(fma.f64 5 z (*.f64 (+.f64 z y) x))
(fma.f64 x (+.f64 z y) (*.f64 5 z))
(fma.f64 5 z (*.f64 x (+.f64 z y)))
(+.f64 (.f64 (+.f64 y z) x) (.f64 5 z))
(fma.f64 (+.f64 z y) x (*.f64 5 z))
(fma.f64 z (+.f64 5 x) (*.f64 y x))
(fma.f64 5 z (*.f64 (+.f64 z y) x))
(fma.f64 x (+.f64 z y) (*.f64 5 z))
(fma.f64 5 z (*.f64 x (+.f64 z y)))
(+.f64 (.f64 z x) (.f64 5 z))
(*.f64 z (+.f64 5 x))
(+.f64 (.f64 z x) (+.f64 (.f64 y x) (*.f64 5 z)))
(fma.f64 (+.f64 z y) x (*.f64 5 z))
(fma.f64 z (+.f64 5 x) (*.f64 y x))
(fma.f64 5 z (*.f64 (+.f64 z y) x))
(fma.f64 x (+.f64 z y) (*.f64 5 z))
(fma.f64 5 z (*.f64 x (+.f64 z y)))
(+.f64 (.f64 z x) (+.f64 (.f64 y x) (*.f64 5 z)))
(fma.f64 (+.f64 z y) x (*.f64 5 z))
(fma.f64 z (+.f64 5 x) (*.f64 y x))
(fma.f64 5 z (*.f64 (+.f64 z y) x))
(fma.f64 x (+.f64 z y) (*.f64 5 z))
(fma.f64 5 z (*.f64 x (+.f64 z y)))
(+.f64 (.f64 z x) (+.f64 (.f64 y x) (*.f64 5 z)))
(fma.f64 (+.f64 z y) x (*.f64 5 z))
(fma.f64 z (+.f64 5 x) (*.f64 y x))
(fma.f64 5 z (*.f64 (+.f64 z y) x))
(fma.f64 x (+.f64 z y) (*.f64 5 z))
(fma.f64 5 z (*.f64 x (+.f64 z y)))
(*.f64 y x)
(+.f64 (.f64 z x) (+.f64 (.f64 y x) (*.f64 5 z)))
(fma.f64 (+.f64 z y) x (*.f64 5 z))
(fma.f64 z (+.f64 5 x) (*.f64 y x))
(fma.f64 5 z (*.f64 (+.f64 z y) x))
(fma.f64 x (+.f64 z y) (*.f64 5 z))
(fma.f64 5 z (*.f64 x (+.f64 z y)))
(+.f64 (.f64 z x) (+.f64 (.f64 y x) (*.f64 5 z)))
(fma.f64 (+.f64 z y) x (*.f64 5 z))
(fma.f64 z (+.f64 5 x) (*.f64 y x))
(fma.f64 5 z (*.f64 (+.f64 z y) x))
(fma.f64 x (+.f64 z y) (*.f64 5 z))
(fma.f64 5 z (*.f64 x (+.f64 z y)))
(+.f64 (.f64 z x) (+.f64 (.f64 y x) (*.f64 5 z)))
(fma.f64 (+.f64 z y) x (*.f64 5 z))
(fma.f64 z (+.f64 5 x) (*.f64 y x))
(fma.f64 5 z (*.f64 (+.f64 z y) x))
(fma.f64 x (+.f64 z y) (*.f64 5 z))
(fma.f64 5 z (*.f64 x (+.f64 z y)))
(*.f64 y x)
(+.f64 (.f64 z x) (+.f64 (.f64 y x) (*.f64 5 z)))
(fma.f64 (+.f64 z y) x (*.f64 5 z))
(fma.f64 z (+.f64 5 x) (*.f64 y x))
(fma.f64 5 z (*.f64 (+.f64 z y) x))
(fma.f64 x (+.f64 z y) (*.f64 5 z))
(fma.f64 5 z (*.f64 x (+.f64 z y)))
(+.f64 (.f64 z x) (+.f64 (.f64 y x) (*.f64 5 z)))
(fma.f64 (+.f64 z y) x (*.f64 5 z))
(fma.f64 z (+.f64 5 x) (*.f64 y x))
(fma.f64 5 z (*.f64 (+.f64 z y) x))
(fma.f64 x (+.f64 z y) (*.f64 5 z))
(fma.f64 5 z (*.f64 x (+.f64 z y)))
(+.f64 (.f64 z x) (+.f64 (.f64 y x) (*.f64 5 z)))
(fma.f64 (+.f64 z y) x (*.f64 5 z))
(fma.f64 z (+.f64 5 x) (*.f64 y x))
(fma.f64 5 z (*.f64 (+.f64 z y) x))
(fma.f64 x (+.f64 z y) (*.f64 5 z))
(fma.f64 5 z (*.f64 x (+.f64 z y)))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 z (+.f64 5 x)))
(fma.f64 (+.f64 z y) x (*.f64 5 z))
(fma.f64 z (+.f64 5 x) (*.f64 y x))
(fma.f64 5 z (*.f64 (+.f64 z y) x))
(fma.f64 x (+.f64 z y) (*.f64 5 z))
(fma.f64 5 z (*.f64 x (+.f64 z y)))
(+.f64 (.f64 y x) (.f64 z (+.f64 5 x)))
(fma.f64 (+.f64 z y) x (*.f64 5 z))
(fma.f64 z (+.f64 5 x) (*.f64 y x))
(fma.f64 5 z (*.f64 (+.f64 z y) x))
(fma.f64 x (+.f64 z y) (*.f64 5 z))
(fma.f64 5 z (*.f64 x (+.f64 z y)))
(+.f64 (.f64 y x) (.f64 z (+.f64 5 x)))
(fma.f64 (+.f64 z y) x (*.f64 5 z))
(fma.f64 z (+.f64 5 x) (*.f64 y x))
(fma.f64 5 z (*.f64 (+.f64 z y) x))
(fma.f64 x (+.f64 z y) (*.f64 5 z))
(fma.f64 5 z (*.f64 x (+.f64 z y)))
(*.f64 z (+.f64 5 x))
(+.f64 (.f64 y x) (.f64 z (+.f64 5 x)))
(fma.f64 (+.f64 z y) x (*.f64 5 z))
(fma.f64 z (+.f64 5 x) (*.f64 y x))
(fma.f64 5 z (*.f64 (+.f64 z y) x))
(fma.f64 x (+.f64 z y) (*.f64 5 z))
(fma.f64 5 z (*.f64 x (+.f64 z y)))
(+.f64 (.f64 y x) (.f64 z (+.f64 5 x)))
(fma.f64 (+.f64 z y) x (*.f64 5 z))
(fma.f64 z (+.f64 5 x) (*.f64 y x))
(fma.f64 5 z (*.f64 (+.f64 z y) x))
(fma.f64 x (+.f64 z y) (*.f64 5 z))
(fma.f64 5 z (*.f64 x (+.f64 z y)))
(+.f64 (.f64 y x) (.f64 z (+.f64 5 x)))
(fma.f64 (+.f64 z y) x (*.f64 5 z))
(fma.f64 z (+.f64 5 x) (*.f64 y x))
(fma.f64 5 z (*.f64 (+.f64 z y) x))
(fma.f64 x (+.f64 z y) (*.f64 5 z))
(fma.f64 5 z (*.f64 x (+.f64 z y)))
(.f64 -1 (.f64 z (-.f64 (*.f64 -1 x) 5)))
(*.f64 z (+.f64 5 x))
(+.f64 (.f64 -1 (.f64 z (-.f64 (.f64 -1 x) 5))) (.f64 y x))
(fma.f64 (+.f64 z y) x (*.f64 5 z))
(fma.f64 z (+.f64 5 x) (*.f64 y x))
(fma.f64 5 z (*.f64 (+.f64 z y) x))
(fma.f64 x (+.f64 z y) (*.f64 5 z))
(fma.f64 5 z (*.f64 x (+.f64 z y)))
(+.f64 (.f64 -1 (.f64 z (-.f64 (.f64 -1 x) 5))) (.f64 y x))
(fma.f64 (+.f64 z y) x (*.f64 5 z))
(fma.f64 z (+.f64 5 x) (*.f64 y x))
(fma.f64 5 z (*.f64 (+.f64 z y) x))
(fma.f64 x (+.f64 z y) (*.f64 5 z))
(fma.f64 5 z (*.f64 x (+.f64 z y)))
(+.f64 (.f64 -1 (.f64 z (-.f64 (.f64 -1 x) 5))) (.f64 y x))
(fma.f64 (+.f64 z y) x (*.f64 5 z))
(fma.f64 z (+.f64 5 x) (*.f64 y x))
(fma.f64 5 z (*.f64 (+.f64 z y) x))
(fma.f64 x (+.f64 z y) (*.f64 5 z))
(fma.f64 5 z (*.f64 x (+.f64 z y)))

eval45.0ms (0.7%)

Compiler: Compiled 2580 to 1144 computations (55.7% saved)

prune34.0ms (0.5%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	176	8	184
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	176	10	186

Error

Counts

186 → 10

Alt Table

Click to see full alt table

Status	Error	Program
	40.3b	(*.f64 y x)
▶	0.1b	(+.f64 (fma.f64 z x (.f64 x y)) (.f64 z 5))
	29.6b	(/.f64 (-.f64 (.f64 (.f64 x (+.f64 y z)) (.f64 x (+.f64 y z))) (.f64 25 (.f64 z z))) (-.f64 (.f64 x (+.f64 y z)) (*.f64 z 5)))
▶	22.4b	(*.f64 z (+.f64 5 x))
▶	0.0b	(fma.f64 z 5 (*.f64 x (+.f64 y z)))
✓	0.1b	(fma.f64 x (+.f64 y z) (*.f64 z 5))
▶	35.0b	(*.f64 5 z)
	28.3b	(*.f64 (+.f64 z y) x)
✓	0.1b	(+.f64 (.f64 x (+.f64 y z)) (.f64 z 5))
▶	22.4b	(+.f64 (.f64 z x) (.f64 z 5))

Compiler

Compiled 207 to 127 computations (38.6% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(*.f64 x (+.f64 y z))
✓	0.0b	(fma.f64 z 5 (*.f64 x (+.f64 y z)))

Compiler

Compiled 23 to 8 computations (65.2% saved)

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	z	@	0	(fma.f64 z 5 (*.f64 x (+.f64 y z)))
0.0ms	z	@	-inf	(fma.f64 z 5 (*.f64 x (+.f64 y z)))
0.0ms	z	@	inf	(fma.f64 z 5 (*.f64 x (+.f64 y z)))
0.0ms	x	@	0	(fma.f64 z 5 (*.f64 x (+.f64 y z)))
0.0ms	y	@	0	(fma.f64 z 5 (*.f64 x (+.f64 y z)))

rewrite63.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

966×	`pow1_binary64`
900×	`add-log-exp_binary64`
900×	`log1p-expm1-u_binary64`
900×	`expm1-log1p-u_binary64`
93×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	176	11
2	2431	11

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

Inputs
(fma.f64 z 5 (*.f64 x (+.f64 y z)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (+.f64 z y)) (*.f64 z 5))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z 5) (*.f64 x (+.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 z 5) 1) (*.f64 x (+.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 z 5) (*.f64 x y)) (*.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 z 5 (*.f64 x (+.f64 z y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 z 5 (*.f64 x (+.f64 z y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 z 5 (*.f64 x (+.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 z 5 (*.f64 x (+.f64 z y)))) (pow.f64 (cbrt.f64 (fma.f64 z 5 (*.f64 x (+.f64 z y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 z 5 (*.f64 x (+.f64 z y)))) 2) (cbrt.f64 (fma.f64 z 5 (*.f64 x (+.f64 z y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 z 5 (*.f64 x (+.f64 z y)))) (sqrt.f64 (fma.f64 z 5 (*.f64 x (+.f64 z y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 z 5) 3) (pow.f64 (*.f64 x (+.f64 z y)) 3)) (+.f64 (*.f64 (*.f64 z 5) (*.f64 z 5)) (-.f64 (pow.f64 (*.f64 x (+.f64 z y)) 2) (*.f64 (*.f64 z 5) (*.f64 x (+.f64 z y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 z 5) (*.f64 z 5)) (pow.f64 (*.f64 x (+.f64 z y)) 2)) (-.f64 (*.f64 z 5) (*.f64 x (+.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 z 5 (*.f64 x (+.f64 z y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 z 5 (*.f64 x (+.f64 z y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 z 5 (*.f64 x (+.f64 z y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 z 5 (*.f64 x (+.f64 z y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 z 5 (*.f64 x (+.f64 z y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 z 5 (*.f64 x (+.f64 z y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 z 5 (*.f64 x (+.f64 z y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 z 5 (*.f64 x (+.f64 z y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 z 5 (*.f64 x (+.f64 z y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 z 5 (*.f64 x (+.f64 z y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 z 5 (*.f64 x (+.f64 z y)))))))))

simplify62.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

354×	`fma-neg_binary64`
320×	`fma-def_binary64`
86×	`cancel-sign-sub-inv_binary64`
56×	`unsub-neg_binary64`
55×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	348
1	57	348
2	106	348
3	194	348
4	341	348
5	618	348
6	1193	348
7	1583	348
8	1633	348
9	1639	348

Stop Event

1×

saturated

Counts

59 → 37

Calls

Call 1

Inputs
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 z (+.f64 5 x)))
(+.f64 (.f64 y x) (.f64 z (+.f64 5 x)))
(+.f64 (.f64 y x) (.f64 z (+.f64 5 x)))
(*.f64 z (+.f64 5 x))
(+.f64 (.f64 y x) (.f64 z (+.f64 5 x)))
(+.f64 (.f64 y x) (.f64 z (+.f64 5 x)))
(+.f64 (.f64 y x) (.f64 z (+.f64 5 x)))
(.f64 -1 (.f64 z (-.f64 (*.f64 -1 x) 5)))
(+.f64 (.f64 -1 (.f64 z (-.f64 (.f64 -1 x) 5))) (.f64 y x))
(+.f64 (.f64 -1 (.f64 z (-.f64 (.f64 -1 x) 5))) (.f64 y x))
(+.f64 (.f64 -1 (.f64 z (-.f64 (.f64 -1 x) 5))) (.f64 y x))
(*.f64 5 z)
(+.f64 (.f64 (+.f64 y z) x) (.f64 5 z))
(+.f64 (.f64 (+.f64 y z) x) (.f64 5 z))
(+.f64 (.f64 (+.f64 y z) x) (.f64 5 z))
(*.f64 (+.f64 y z) x)
(+.f64 (.f64 (+.f64 y z) x) (.f64 5 z))
(+.f64 (.f64 (+.f64 y z) x) (.f64 5 z))
(+.f64 (.f64 (+.f64 y z) x) (.f64 5 z))
(*.f64 (+.f64 y z) x)
(+.f64 (.f64 (+.f64 y z) x) (.f64 5 z))
(+.f64 (.f64 (+.f64 y z) x) (.f64 5 z))
(+.f64 (.f64 (+.f64 y z) x) (.f64 5 z))
(+.f64 (.f64 z x) (.f64 5 z))
(+.f64 (.f64 z x) (+.f64 (.f64 y x) (*.f64 5 z)))
(+.f64 (.f64 z x) (+.f64 (.f64 y x) (*.f64 5 z)))
(+.f64 (.f64 z x) (+.f64 (.f64 y x) (*.f64 5 z)))
(*.f64 y x)
(+.f64 (.f64 z x) (+.f64 (.f64 y x) (*.f64 5 z)))
(+.f64 (.f64 z x) (+.f64 (.f64 y x) (*.f64 5 z)))
(+.f64 (.f64 z x) (+.f64 (.f64 y x) (*.f64 5 z)))
(*.f64 y x)
(+.f64 (.f64 z x) (+.f64 (.f64 y x) (*.f64 5 z)))
(+.f64 (.f64 z x) (+.f64 (.f64 y x) (*.f64 5 z)))
(+.f64 (.f64 z x) (+.f64 (.f64 y x) (*.f64 5 z)))

Outputs
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 z (+.f64 5 x)))
(fma.f64 y x (*.f64 z (+.f64 x 5)))
(fma.f64 z (+.f64 x 5) (*.f64 y x))
(+.f64 (.f64 y x) (.f64 z (+.f64 5 x)))
(fma.f64 y x (*.f64 z (+.f64 x 5)))
(fma.f64 z (+.f64 x 5) (*.f64 y x))
(+.f64 (.f64 y x) (.f64 z (+.f64 5 x)))
(fma.f64 y x (*.f64 z (+.f64 x 5)))
(fma.f64 z (+.f64 x 5) (*.f64 y x))
(*.f64 z (+.f64 5 x))
(*.f64 z (+.f64 x 5))
(+.f64 (.f64 y x) (.f64 z (+.f64 5 x)))
(fma.f64 y x (*.f64 z (+.f64 x 5)))
(fma.f64 z (+.f64 x 5) (*.f64 y x))
(+.f64 (.f64 y x) (.f64 z (+.f64 5 x)))
(fma.f64 y x (*.f64 z (+.f64 x 5)))
(fma.f64 z (+.f64 x 5) (*.f64 y x))
(+.f64 (.f64 y x) (.f64 z (+.f64 5 x)))
(fma.f64 y x (*.f64 z (+.f64 x 5)))
(fma.f64 z (+.f64 x 5) (*.f64 y x))
(.f64 -1 (.f64 z (-.f64 (*.f64 -1 x) 5)))
(*.f64 z (+.f64 x 5))
(+.f64 (.f64 -1 (.f64 z (-.f64 (.f64 -1 x) 5))) (.f64 y x))
(fma.f64 y x (*.f64 z (+.f64 x 5)))
(fma.f64 z (+.f64 x 5) (*.f64 y x))
(+.f64 (.f64 -1 (.f64 z (-.f64 (.f64 -1 x) 5))) (.f64 y x))
(fma.f64 y x (*.f64 z (+.f64 x 5)))
(fma.f64 z (+.f64 x 5) (*.f64 y x))
(+.f64 (.f64 -1 (.f64 z (-.f64 (.f64 -1 x) 5))) (.f64 y x))
(fma.f64 y x (*.f64 z (+.f64 x 5)))
(fma.f64 z (+.f64 x 5) (*.f64 y x))
(*.f64 5 z)
(*.f64 z 5)
(+.f64 (.f64 (+.f64 y z) x) (.f64 5 z))
(fma.f64 y x (*.f64 z (+.f64 x 5)))
(fma.f64 z (+.f64 x 5) (*.f64 y x))
(+.f64 (.f64 (+.f64 y z) x) (.f64 5 z))
(fma.f64 y x (*.f64 z (+.f64 x 5)))
(fma.f64 z (+.f64 x 5) (*.f64 y x))
(+.f64 (.f64 (+.f64 y z) x) (.f64 5 z))
(fma.f64 y x (*.f64 z (+.f64 x 5)))
(fma.f64 z (+.f64 x 5) (*.f64 y x))
(*.f64 (+.f64 y z) x)
(*.f64 x (+.f64 y z))
(+.f64 (.f64 (+.f64 y z) x) (.f64 5 z))
(fma.f64 y x (*.f64 z (+.f64 x 5)))
(fma.f64 z (+.f64 x 5) (*.f64 y x))
(+.f64 (.f64 (+.f64 y z) x) (.f64 5 z))
(fma.f64 y x (*.f64 z (+.f64 x 5)))
(fma.f64 z (+.f64 x 5) (*.f64 y x))
(+.f64 (.f64 (+.f64 y z) x) (.f64 5 z))
(fma.f64 y x (*.f64 z (+.f64 x 5)))
(fma.f64 z (+.f64 x 5) (*.f64 y x))
(*.f64 (+.f64 y z) x)
(*.f64 x (+.f64 y z))
(+.f64 (.f64 (+.f64 y z) x) (.f64 5 z))
(fma.f64 y x (*.f64 z (+.f64 x 5)))
(fma.f64 z (+.f64 x 5) (*.f64 y x))
(+.f64 (.f64 (+.f64 y z) x) (.f64 5 z))
(fma.f64 y x (*.f64 z (+.f64 x 5)))
(fma.f64 z (+.f64 x 5) (*.f64 y x))
(+.f64 (.f64 (+.f64 y z) x) (.f64 5 z))
(fma.f64 y x (*.f64 z (+.f64 x 5)))
(fma.f64 z (+.f64 x 5) (*.f64 y x))
(+.f64 (.f64 z x) (.f64 5 z))
(*.f64 z (+.f64 x 5))
(+.f64 (.f64 z x) (+.f64 (.f64 y x) (*.f64 5 z)))
(fma.f64 y x (*.f64 z (+.f64 x 5)))
(fma.f64 z (+.f64 x 5) (*.f64 y x))
(+.f64 (.f64 z x) (+.f64 (.f64 y x) (*.f64 5 z)))
(fma.f64 y x (*.f64 z (+.f64 x 5)))
(fma.f64 z (+.f64 x 5) (*.f64 y x))
(+.f64 (.f64 z x) (+.f64 (.f64 y x) (*.f64 5 z)))
(fma.f64 y x (*.f64 z (+.f64 x 5)))
(fma.f64 z (+.f64 x 5) (*.f64 y x))
(*.f64 y x)
(+.f64 (.f64 z x) (+.f64 (.f64 y x) (*.f64 5 z)))
(fma.f64 y x (*.f64 z (+.f64 x 5)))
(fma.f64 z (+.f64 x 5) (*.f64 y x))
(+.f64 (.f64 z x) (+.f64 (.f64 y x) (*.f64 5 z)))
(fma.f64 y x (*.f64 z (+.f64 x 5)))
(fma.f64 z (+.f64 x 5) (*.f64 y x))
(+.f64 (.f64 z x) (+.f64 (.f64 y x) (*.f64 5 z)))
(fma.f64 y x (*.f64 z (+.f64 x 5)))
(fma.f64 z (+.f64 x 5) (*.f64 y x))
(*.f64 y x)
(+.f64 (.f64 z x) (+.f64 (.f64 y x) (*.f64 5 z)))
(fma.f64 y x (*.f64 z (+.f64 x 5)))
(fma.f64 z (+.f64 x 5) (*.f64 y x))
(+.f64 (.f64 z x) (+.f64 (.f64 y x) (*.f64 5 z)))
(fma.f64 y x (*.f64 z (+.f64 x 5)))
(fma.f64 z (+.f64 x 5) (*.f64 y x))
(+.f64 (.f64 z x) (+.f64 (.f64 y x) (*.f64 5 z)))
(fma.f64 y x (*.f64 z (+.f64 x 5)))
(fma.f64 z (+.f64 x 5) (*.f64 y x))

localize8.0ms (0.1%)

Compiler: Compiled 8 to 6 computations (25% saved)

localize12.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 z (+.f64 5 x))

Compiler

Compiled 14 to 9 computations (35.7% saved)

series7.0ms (0.1%)

Counts

1 → 12

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(*.f64 z (+.f64 5 x))
1.0ms	z	@	0	(*.f64 z (+.f64 5 x))
1.0ms	z	@	inf	(*.f64 z (+.f64 5 x))
1.0ms	z	@	-inf	(*.f64 z (+.f64 5 x))
1.0ms	x	@	inf	(*.f64 z (+.f64 5 x))

rewrite80.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

733×	`pow1_binary64`
687×	`add-log-exp_binary64`
687×	`log1p-expm1-u_binary64`
687×	`expm1-log1p-u_binary64`
674×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	136	7
2	1837	7

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

Inputs
(*.f64 z (+.f64 5 x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z 5) (*.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z x) (*.f64 z 5))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 z 5) 1) (*.f64 (*.f64 z x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 z (+.f64 5 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 z 5) 3) (pow.f64 (*.f64 z x) 3)) (+.f64 (*.f64 (*.f64 z 5) (*.f64 z 5)) (-.f64 (*.f64 (*.f64 z x) (*.f64 z x)) (*.f64 (*.f64 z 5) (*.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 z 5) (*.f64 z 5)) (*.f64 (*.f64 z x) (*.f64 z x))) (-.f64 (*.f64 z 5) (*.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 125 (pow.f64 x 3)) z) (+.f64 25 (*.f64 x (-.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 25 (*.f64 x x)) z) (-.f64 5 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (+.f64 125 (pow.f64 x 3))) (+.f64 25 (*.f64 x (-.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (-.f64 25 (*.f64 x x))) (-.f64 5 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (+.f64 5 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (+.f64 5 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z (+.f64 5 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 z (+.f64 5 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 z (+.f64 5 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (+.f64 5 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (+.f64 5 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (+.f64 5 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 5 x) 3) (pow.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z (+.f64 5 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (+.f64 5 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z (+.f64 5 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z 5 (*.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 5 z (*.f64 z x))))))

simplify17.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64`
4×	`fma-def_binary64`
2×	`+-commutative_binary64`
2×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	84
1	11	75
2	18	75
3	20	75

Stop Event

1×

saturated

Counts

36 → 28

Calls

Call 1

Inputs
(*.f64 5 z)
(+.f64 (.f64 z x) (.f64 5 z))
(+.f64 (.f64 z x) (.f64 5 z))
(+.f64 (.f64 z x) (.f64 5 z))
(*.f64 z x)
(+.f64 (.f64 z x) (.f64 5 z))
(+.f64 (.f64 z x) (.f64 5 z))
(+.f64 (.f64 z x) (.f64 5 z))
(*.f64 z x)
(+.f64 (.f64 z x) (.f64 5 z))
(+.f64 (.f64 z x) (.f64 5 z))
(+.f64 (.f64 z x) (.f64 5 z))

Outputs
(*.f64 5 z)
(+.f64 (.f64 z x) (.f64 5 z))
(fma.f64 z x (*.f64 5 z))
(*.f64 z (+.f64 5 x))
(+.f64 (.f64 z x) (.f64 5 z))
(fma.f64 z x (*.f64 5 z))
(*.f64 z (+.f64 5 x))
(+.f64 (.f64 z x) (.f64 5 z))
(fma.f64 z x (*.f64 5 z))
(*.f64 z (+.f64 5 x))
(*.f64 z x)
(+.f64 (.f64 z x) (.f64 5 z))
(fma.f64 z x (*.f64 5 z))
(*.f64 z (+.f64 5 x))
(+.f64 (.f64 z x) (.f64 5 z))
(fma.f64 z x (*.f64 5 z))
(*.f64 z (+.f64 5 x))
(+.f64 (.f64 z x) (.f64 5 z))
(fma.f64 z x (*.f64 5 z))
(*.f64 z (+.f64 5 x))
(*.f64 z x)
(+.f64 (.f64 z x) (.f64 5 z))
(fma.f64 z x (*.f64 5 z))
(*.f64 z (+.f64 5 x))
(+.f64 (.f64 z x) (.f64 5 z))
(fma.f64 z x (*.f64 5 z))
(*.f64 z (+.f64 5 x))
(+.f64 (.f64 z x) (.f64 5 z))
(fma.f64 z x (*.f64 5 z))
(*.f64 z (+.f64 5 x))

localize15.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 z x) (.f64 z 5))

Compiler

Compiled 19 to 10 computations (47.4% saved)

series5.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	z	@	inf	(+.f64 (.f64 z x) (.f64 z 5))
1.0ms	z	@	0	(+.f64 (.f64 z x) (.f64 z 5))
1.0ms	z	@	-inf	(+.f64 (.f64 z x) (.f64 z 5))
1.0ms	x	@	-inf	(+.f64 (.f64 z x) (.f64 z 5))
1.0ms	x	@	0	(+.f64 (.f64 z x) (.f64 z 5))

rewrite79.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

814×	`pow1_binary64`
760×	`add-log-exp_binary64`
760×	`log1p-expm1-u_binary64`
760×	`expm1-log1p-u_binary64`
745×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	153	7
2	2063	7

Stop Event

1×	node limit

Counts

1 → 41

Calls

Call 1

Inputs
(+.f64 (.f64 z x) (.f64 z 5))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 z (+.f64 x 5))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 z x) 2) (*.f64 z (-.f64 x 5))) (/.f64 (*.f64 25 (*.f64 z z)) (*.f64 z (-.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (+.f64 x 5))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (+.f64 x 5)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 z (+.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (+.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 z (+.f64 x 5))) (pow.f64 (cbrt.f64 (*.f64 z (+.f64 x 5))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 z (+.f64 x 5))) 2) (cbrt.f64 (*.f64 z (+.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (+.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 z (+.f64 x 5))) (sqrt.f64 (*.f64 z (+.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 z x) 3) (*.f64 125 (pow.f64 z 3))) (/.f64 1 (+.f64 (pow.f64 (*.f64 z x) 2) (*.f64 (*.f64 z 5) (-.f64 (*.f64 z 5) (*.f64 z x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 z x) 2) (*.f64 25 (*.f64 z z))) (/.f64 1 (*.f64 z (-.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x 5) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 z x) 2) (*.f64 (*.f64 z 5) (-.f64 (*.f64 z 5) (*.f64 z x)))) (+.f64 (pow.f64 (*.f64 z x) 3) (*.f64 125 (pow.f64 z 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 z (-.f64 x 5)) (-.f64 (pow.f64 (*.f64 z x) 2) (*.f64 25 (*.f64 z z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 z x) 3) (*.f64 125 (pow.f64 z 3))) (+.f64 (pow.f64 (*.f64 z x) 2) (*.f64 (*.f64 z 5) (-.f64 (*.f64 z 5) (*.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 z x) 3) (*.f64 125 (pow.f64 z 3))) (+.f64 (*.f64 25 (*.f64 z z)) (-.f64 (pow.f64 (*.f64 z x) 2) (*.f64 (*.f64 z x) (*.f64 z 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 z x) 2) (*.f64 25 (*.f64 z z))) (*.f64 z (-.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z x) 3) (*.f64 125 (pow.f64 z 3)))) (neg.f64 (+.f64 (pow.f64 (*.f64 z x) 2) (*.f64 (*.f64 z 5) (-.f64 (*.f64 z 5) (*.f64 z x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 z x) 2) (*.f64 25 (*.f64 z z)))) (neg.f64 (*.f64 z (-.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 25 (*.f64 z z)) (pow.f64 (*.f64 z x) 2)) (-.f64 (*.f64 z 5) (*.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (+.f64 x 5)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (+.f64 x 5)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z (+.f64 x 5))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 z (+.f64 x 5))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 z (+.f64 x 5)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (+.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (+.f64 x 5)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z (+.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (+.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z (+.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z x (*.f64 z 5))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z 5 (*.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x z (*.f64 z 5))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 5 z (*.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 z x) (*.f64 z 5))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 z 5) (*.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 25 (*.f64 z z))) (cbrt.f64 (*.f64 z 5)) (*.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) 2) (cbrt.f64 (*.f64 z x)) (*.f64 z 5))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 z 5)) (sqrt.f64 (*.f64 z 5)) (*.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 z x)) (sqrt.f64 (*.f64 z x)) (*.f64 z 5))))))

simplify27.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

92×	`fma-neg_binary64`
85×	`fma-def_binary64`
23×	`associate-l_binary64`
22×	`distribute-rgt-in_binary64`
22×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	159
1	33	159
2	64	159
3	132	159
4	227	159
5	342	159
6	512	159
7	553	159

Stop Event

1×

saturated

Counts

65 → 47

Calls

Call 1

Inputs
(*.f64 z (+.f64 5 x))
(*.f64 z (+.f64 5 x))
(*.f64 z (+.f64 5 x))
(*.f64 z (+.f64 5 x))
(*.f64 z (+.f64 5 x))
(*.f64 z (+.f64 5 x))
(*.f64 z (+.f64 5 x))
(*.f64 z (+.f64 5 x))
(.f64 -1 (.f64 z (-.f64 (*.f64 -1 x) 5)))
(.f64 -1 (.f64 z (-.f64 (*.f64 -1 x) 5)))
(.f64 -1 (.f64 z (-.f64 (*.f64 -1 x) 5)))
(.f64 -1 (.f64 z (-.f64 (*.f64 -1 x) 5)))
(*.f64 5 z)
(+.f64 (.f64 z x) (.f64 5 z))
(+.f64 (.f64 z x) (.f64 5 z))
(+.f64 (.f64 z x) (.f64 5 z))
(*.f64 z x)
(+.f64 (.f64 z x) (.f64 5 z))
(+.f64 (.f64 z x) (.f64 5 z))
(+.f64 (.f64 z x) (.f64 5 z))
(*.f64 z x)
(+.f64 (.f64 z x) (.f64 5 z))
(+.f64 (.f64 z x) (.f64 5 z))
(+.f64 (.f64 z x) (.f64 5 z))

Outputs
(*.f64 z (+.f64 5 x))
(*.f64 z (+.f64 5 x))
(*.f64 z (+.f64 5 x))
(*.f64 z (+.f64 5 x))
(*.f64 z (+.f64 5 x))
(*.f64 z (+.f64 5 x))
(*.f64 z (+.f64 5 x))
(*.f64 z (+.f64 5 x))
(.f64 -1 (.f64 z (-.f64 (*.f64 -1 x) 5)))
(*.f64 z (+.f64 5 x))
(.f64 -1 (.f64 z (-.f64 (*.f64 -1 x) 5)))
(*.f64 z (+.f64 5 x))
(.f64 -1 (.f64 z (-.f64 (*.f64 -1 x) 5)))
(*.f64 z (+.f64 5 x))
(.f64 -1 (.f64 z (-.f64 (*.f64 -1 x) 5)))
(*.f64 z (+.f64 5 x))
(*.f64 5 z)
(*.f64 z 5)
(+.f64 (.f64 z x) (.f64 5 z))
(*.f64 z (+.f64 5 x))
(+.f64 (.f64 z x) (.f64 5 z))
(*.f64 z (+.f64 5 x))
(+.f64 (.f64 z x) (.f64 5 z))
(*.f64 z (+.f64 5 x))
(*.f64 z x)
(+.f64 (.f64 z x) (.f64 5 z))
(*.f64 z (+.f64 5 x))
(+.f64 (.f64 z x) (.f64 5 z))
(*.f64 z (+.f64 5 x))
(+.f64 (.f64 z x) (.f64 5 z))
(*.f64 z (+.f64 5 x))
(*.f64 z x)
(+.f64 (.f64 z x) (.f64 5 z))
(*.f64 z (+.f64 5 x))
(+.f64 (.f64 z x) (.f64 5 z))
(*.f64 z (+.f64 5 x))
(+.f64 (.f64 z x) (.f64 5 z))
(*.f64 z (+.f64 5 x))

localize12.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 z x (*.f64 x y))
✓	0.0b	(+.f64 (fma.f64 z x (.f64 x y)) (.f64 z 5))

Compiler

Compiled 29 to 11 computations (62.1% saved)

series7.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(+.f64 (fma.f64 z x (.f64 x y)) (.f64 z 5))
1.0ms	x	@	-inf	(fma.f64 z x (*.f64 x y))
0.0ms	x	@	inf	(fma.f64 z x (*.f64 x y))
0.0ms	z	@	0	(+.f64 (fma.f64 z x (.f64 x y)) (.f64 z 5))
0.0ms	z	@	inf	(+.f64 (fma.f64 z x (.f64 x y)) (.f64 z 5))

rewrite75.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

461×	`log-prod_binary64`
360×	`prod-exp_binary64`
351×	`exp-prod_binary64`
316×	`pow-prod-down_binary64`
313×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	22
1	190	18
2	2494	18

Stop Event

1×	node limit

Counts

2 → 109

Calls

Call 1

Inputs
(+.f64 (fma.f64 z x (.f64 x y)) (.f64 z 5))
(fma.f64 z x (*.f64 x y))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x (+.f64 z y) (*.f64 z 5)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 x (+.f64 z y)) 2) (fma.f64 x (+.f64 z y) (*.f64 -5 z))) (/.f64 (*.f64 (*.f64 z z) 25) (fma.f64 x (+.f64 z y) (*.f64 -5 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (+.f64 z y) (*.f64 z 5)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x (+.f64 z y) (*.f64 z 5)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (+.f64 z y) (*.f64 z 5))) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 z y) (*.f64 z 5))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 z y) (*.f64 z 5))) 2) (cbrt.f64 (fma.f64 x (+.f64 z y) (*.f64 z 5))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x (+.f64 z y) (*.f64 z 5))) (sqrt.f64 (fma.f64 x (+.f64 z y) (*.f64 z 5))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 z 3) 125 (pow.f64 (*.f64 x (+.f64 z y)) 3)) (/.f64 1 (fma.f64 (*.f64 z 5) (-.f64 (*.f64 z 5) (*.f64 x (+.f64 z y))) (pow.f64 (*.f64 x (+.f64 z y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 z y)) 2) (*.f64 (*.f64 z z) 25)) (/.f64 1 (fma.f64 x (+.f64 z y) (*.f64 -5 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 z 5) (-.f64 (*.f64 z 5) (*.f64 x (+.f64 z y))) (pow.f64 (*.f64 x (+.f64 z y)) 2)) (fma.f64 (pow.f64 z 3) 125 (pow.f64 (*.f64 x (+.f64 z y)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x (+.f64 z y) (*.f64 -5 z)) (-.f64 (pow.f64 (*.f64 x (+.f64 z y)) 2) (*.f64 (*.f64 z z) 25))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 z 3) 125 (pow.f64 (*.f64 x (+.f64 z y)) 3)) (fma.f64 (*.f64 z 5) (-.f64 (*.f64 z 5) (*.f64 x (+.f64 z y))) (pow.f64 (*.f64 x (+.f64 z y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 z 3) 125 (pow.f64 (*.f64 x (+.f64 z y)) 3)) (fma.f64 (*.f64 z z) 25 (-.f64 (pow.f64 (*.f64 x (+.f64 z y)) 2) (*.f64 (*.f64 x (+.f64 z y)) (*.f64 z 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 z y)) 2) (*.f64 (*.f64 z z) 25)) (fma.f64 x (+.f64 z y) (*.f64 -5 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 z 3) 125 (pow.f64 (*.f64 x (+.f64 z y)) 3))) (neg.f64 (fma.f64 (*.f64 z 5) (-.f64 (*.f64 z 5) (*.f64 x (+.f64 z y))) (pow.f64 (*.f64 x (+.f64 z y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 z y)) 2) (*.f64 (*.f64 z z) 25))) (neg.f64 (fma.f64 x (+.f64 z y) (*.f64 -5 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 z z) 25) (pow.f64 (*.f64 x (+.f64 z y)) 2)) (-.f64 (*.f64 z 5) (*.f64 x (+.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (+.f64 z y) (*.f64 z 5)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (+.f64 z y) (*.f64 z 5)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (+.f64 z y) (*.f64 z 5)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (+.f64 z y) (*.f64 z 5))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (+.f64 z y) (*.f64 z 5))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (fma.f64 x (+.f64 z y) (*.f64 z 5))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (*.f64 z 5) (-.f64 (*.f64 z 5) (*.f64 x (+.f64 z y))) (pow.f64 (*.f64 x (+.f64 z y)) 2)) (fma.f64 (pow.f64 z 3) 125 (pow.f64 (*.f64 x (+.f64 z y)) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x (+.f64 z y) (*.f64 -5 z)) (-.f64 (pow.f64 (*.f64 x (+.f64 z y)) 2) (*.f64 (*.f64 z z) 25))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x (+.f64 z y) (*.f64 z 5)))) 2)) (cbrt.f64 (log.f64 (fma.f64 x (+.f64 z y) (*.f64 z 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x (+.f64 z y) (*.f64 z 5))))) (sqrt.f64 (log.f64 (fma.f64 x (+.f64 z y) (*.f64 z 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (+.f64 z y) (*.f64 z 5)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (+.f64 z y) (*.f64 z 5))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (+.f64 z y) (*.f64 z 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 z y)))) (pow.f64 (exp.f64 z) 5)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 x) (+.f64 z y)) (+.f64 1 (expm1.f64 (*.f64 z 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 z y)))) (+.f64 1 (expm1.f64 (*.f64 z 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 z 5))) (pow.f64 (exp.f64 x) (+.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 z) 5) (+.f64 1 (expm1.f64 (*.f64 x (+.f64 z y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 z 5))) (+.f64 1 (expm1.f64 (*.f64 x (+.f64 z y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (+.f64 z y) (*.f64 z 5)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (+.f64 z y) (*.f64 z 5))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (+.f64 z y) (*.f64 z 5))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (+.f64 z y) (*.f64 z 5))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x (+.f64 z y) (*.f64 z 5))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 x (+.f64 z y) (*.f64 z 5)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x (+.f64 z y) (*.f64 z 5)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x (+.f64 z y) (*.f64 z 5)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x (+.f64 z y) (*.f64 z 5))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z x (fma.f64 x y (*.f64 z 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z 5 (*.f64 x (+.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x z (fma.f64 x y (*.f64 z 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (+.f64 z y) (*.f64 z 5))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (+.f64 z y)) 1 (*.f64 z 5))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 5 z (*.f64 x (+.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z 5) 1 (*.f64 x (+.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (+.f64 z y)) (*.f64 z 5))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 z 5) (*.f64 x (+.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 z x) (fma.f64 x y (*.f64 z 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 z 5)) (cbrt.f64 (*.f64 (*.f64 z z) 25)) (*.f64 x (+.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (*.f64 z z) 25)) (cbrt.f64 (*.f64 z 5)) (*.f64 x (+.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) 5) (*.f64 x (+.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) x) (fma.f64 x y (*.f64 z 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x (+.f64 z y))) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 z y))) 2) (*.f64 z 5))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 z y))) 2) (cbrt.f64 (*.f64 x (+.f64 z y))) (*.f64 z 5))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 z 5)) (sqrt.f64 (*.f64 z 5)) (*.f64 x (+.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) 5) (*.f64 x (+.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) x) (fma.f64 x y (*.f64 z 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x (+.f64 z y))) (sqrt.f64 (*.f64 x (+.f64 z y))) (*.f64 z 5))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 z x)) 2) (cbrt.f64 (*.f64 z x)) (fma.f64 x y (*.f64 z 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 z x)) (sqrt.f64 (*.f64 z x)) (fma.f64 x y (*.f64 z 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 5 (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (*.f64 x (+.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 5 (sqrt.f64 z)) (sqrt.f64 z) (*.f64 x (+.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (fma.f64 x y (*.f64 z 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 x y (*.f64 z 5)))))))

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

simplify66.0ms (1%)

Algorithm

1×	egg-herbie

Rules

348×	`fma-def_binary64`
279×	`fma-neg_binary64`
79×	`cancel-sign-sub-inv_binary64`
71×	`distribute-rgt-in_binary64`
56×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	582
1	80	582
2	169	582
3	372	582
4	820	582
5	1271	582
6	1543	582
7	1564	582
8	1565	582

Stop Event

1×

saturated

Counts

181 → 128

Calls

Call 1

Inputs
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 z (+.f64 5 x)))
(+.f64 (.f64 y x) (.f64 z (+.f64 5 x)))
(+.f64 (.f64 y x) (.f64 z (+.f64 5 x)))
(*.f64 z (+.f64 5 x))
(+.f64 (.f64 y x) (.f64 z (+.f64 5 x)))
(+.f64 (.f64 y x) (.f64 z (+.f64 5 x)))
(+.f64 (.f64 y x) (.f64 z (+.f64 5 x)))
(.f64 -1 (.f64 z (-.f64 (*.f64 -1 x) 5)))
(+.f64 (.f64 -1 (.f64 z (-.f64 (.f64 -1 x) 5))) (.f64 y x))
(+.f64 (.f64 -1 (.f64 z (-.f64 (.f64 -1 x) 5))) (.f64 y x))
(+.f64 (.f64 -1 (.f64 z (-.f64 (.f64 -1 x) 5))) (.f64 y x))
(*.f64 5 z)
(+.f64 (.f64 (+.f64 y z) x) (.f64 5 z))
(+.f64 (.f64 (+.f64 y z) x) (.f64 5 z))
(+.f64 (.f64 (+.f64 y z) x) (.f64 5 z))
(*.f64 (+.f64 y z) x)
(+.f64 (.f64 (+.f64 y z) x) (.f64 5 z))
(+.f64 (.f64 (+.f64 y z) x) (.f64 5 z))
(+.f64 (.f64 (+.f64 y z) x) (.f64 5 z))
(.f64 -1 (.f64 (+.f64 (.f64 -1 z) (.f64 -1 y)) x))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 z) (.f64 -1 y)) x)) (*.f64 5 z))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 z) (.f64 -1 y)) x)) (*.f64 5 z))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 z) (.f64 -1 y)) x)) (*.f64 5 z))
(+.f64 (.f64 z x) (.f64 5 z))
(+.f64 (.f64 z x) (+.f64 (.f64 y x) (*.f64 5 z)))
(+.f64 (.f64 z x) (+.f64 (.f64 y x) (*.f64 5 z)))
(+.f64 (.f64 z x) (+.f64 (.f64 y x) (*.f64 5 z)))
(*.f64 y x)
(+.f64 (.f64 z x) (+.f64 (.f64 y x) (*.f64 5 z)))
(+.f64 (.f64 z x) (+.f64 (.f64 y x) (*.f64 5 z)))
(+.f64 (.f64 z x) (+.f64 (.f64 y x) (*.f64 5 z)))
(*.f64 y x)
(+.f64 (.f64 z x) (+.f64 (.f64 y x) (*.f64 5 z)))
(+.f64 (.f64 z x) (+.f64 (.f64 y x) (*.f64 5 z)))
(+.f64 (.f64 z x) (+.f64 (.f64 y x) (*.f64 5 z)))
(*.f64 y x)
(+.f64 (.f64 z x) (.f64 y x))
(+.f64 (.f64 z x) (.f64 y x))
(+.f64 (.f64 z x) (.f64 y x))
(*.f64 z x)
(+.f64 (.f64 z x) (.f64 y x))
(+.f64 (.f64 z x) (.f64 y x))
(+.f64 (.f64 z x) (.f64 y x))
(*.f64 z x)
(+.f64 (.f64 z x) (.f64 y x))
(+.f64 (.f64 z x) (.f64 y x))
(+.f64 (.f64 z x) (.f64 y x))
(*.f64 (+.f64 y z) x)
(*.f64 (+.f64 y z) x)
(*.f64 (+.f64 y z) x)
(*.f64 (+.f64 y z) x)
(*.f64 (+.f64 y z) x)
(*.f64 (+.f64 y z) x)
(*.f64 (+.f64 y z) x)
(*.f64 (+.f64 y z) x)
(.f64 -1 (.f64 (+.f64 (.f64 -1 z) (.f64 -1 y)) x))
(.f64 -1 (.f64 (+.f64 (.f64 -1 z) (.f64 -1 y)) x))
(.f64 -1 (.f64 (+.f64 (.f64 -1 z) (.f64 -1 y)) x))
(.f64 -1 (.f64 (+.f64 (.f64 -1 z) (.f64 -1 y)) x))
(*.f64 z x)
(+.f64 (.f64 z x) (.f64 y x))
(+.f64 (.f64 z x) (.f64 y x))
(+.f64 (.f64 z x) (.f64 y x))
(*.f64 y x)
(+.f64 (.f64 z x) (.f64 y x))
(+.f64 (.f64 z x) (.f64 y x))
(+.f64 (.f64 z x) (.f64 y x))
(*.f64 y x)
(+.f64 (.f64 z x) (.f64 y x))
(+.f64 (.f64 z x) (.f64 y x))
(+.f64 (.f64 z x) (.f64 y x))

Outputs
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 z (+.f64 5 x)))
(fma.f64 y x (*.f64 z (+.f64 x 5)))
(fma.f64 x (+.f64 y z) (*.f64 z 5))
(+.f64 (.f64 y x) (.f64 z (+.f64 5 x)))
(fma.f64 y x (*.f64 z (+.f64 x 5)))
(fma.f64 x (+.f64 y z) (*.f64 z 5))
(+.f64 (.f64 y x) (.f64 z (+.f64 5 x)))
(fma.f64 y x (*.f64 z (+.f64 x 5)))
(fma.f64 x (+.f64 y z) (*.f64 z 5))
(*.f64 z (+.f64 5 x))
(*.f64 z (+.f64 x 5))
(+.f64 (.f64 y x) (.f64 z (+.f64 5 x)))
(fma.f64 y x (*.f64 z (+.f64 x 5)))
(fma.f64 x (+.f64 y z) (*.f64 z 5))
(+.f64 (.f64 y x) (.f64 z (+.f64 5 x)))
(fma.f64 y x (*.f64 z (+.f64 x 5)))
(fma.f64 x (+.f64 y z) (*.f64 z 5))
(+.f64 (.f64 y x) (.f64 z (+.f64 5 x)))
(fma.f64 y x (*.f64 z (+.f64 x 5)))
(fma.f64 x (+.f64 y z) (*.f64 z 5))
(.f64 -1 (.f64 z (-.f64 (*.f64 -1 x) 5)))
(*.f64 z (+.f64 x 5))
(+.f64 (.f64 -1 (.f64 z (-.f64 (.f64 -1 x) 5))) (.f64 y x))
(fma.f64 y x (*.f64 z (+.f64 x 5)))
(fma.f64 x (+.f64 y z) (*.f64 z 5))
(+.f64 (.f64 -1 (.f64 z (-.f64 (.f64 -1 x) 5))) (.f64 y x))
(fma.f64 y x (*.f64 z (+.f64 x 5)))
(fma.f64 x (+.f64 y z) (*.f64 z 5))
(+.f64 (.f64 -1 (.f64 z (-.f64 (.f64 -1 x) 5))) (.f64 y x))
(fma.f64 y x (*.f64 z (+.f64 x 5)))
(fma.f64 x (+.f64 y z) (*.f64 z 5))
(*.f64 5 z)
(*.f64 z 5)
(+.f64 (.f64 (+.f64 y z) x) (.f64 5 z))
(fma.f64 y x (*.f64 z (+.f64 x 5)))
(fma.f64 x (+.f64 y z) (*.f64 z 5))
(+.f64 (.f64 (+.f64 y z) x) (.f64 5 z))
(fma.f64 y x (*.f64 z (+.f64 x 5)))
(fma.f64 x (+.f64 y z) (*.f64 z 5))
(+.f64 (.f64 (+.f64 y z) x) (.f64 5 z))
(fma.f64 y x (*.f64 z (+.f64 x 5)))
(fma.f64 x (+.f64 y z) (*.f64 z 5))
(*.f64 (+.f64 y z) x)
(*.f64 x (+.f64 y z))
(+.f64 (.f64 (+.f64 y z) x) (.f64 5 z))
(fma.f64 y x (*.f64 z (+.f64 x 5)))
(fma.f64 x (+.f64 y z) (*.f64 z 5))
(+.f64 (.f64 (+.f64 y z) x) (.f64 5 z))
(fma.f64 y x (*.f64 z (+.f64 x 5)))
(fma.f64 x (+.f64 y z) (*.f64 z 5))
(+.f64 (.f64 (+.f64 y z) x) (.f64 5 z))
(fma.f64 y x (*.f64 z (+.f64 x 5)))
(fma.f64 x (+.f64 y z) (*.f64 z 5))
(.f64 -1 (.f64 (+.f64 (.f64 -1 z) (.f64 -1 y)) x))
(*.f64 x (+.f64 y z))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 z) (.f64 -1 y)) x)) (*.f64 5 z))
(fma.f64 y x (*.f64 z (+.f64 x 5)))
(fma.f64 x (+.f64 y z) (*.f64 z 5))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 z) (.f64 -1 y)) x)) (*.f64 5 z))
(fma.f64 y x (*.f64 z (+.f64 x 5)))
(fma.f64 x (+.f64 y z) (*.f64 z 5))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 z) (.f64 -1 y)) x)) (*.f64 5 z))
(fma.f64 y x (*.f64 z (+.f64 x 5)))
(fma.f64 x (+.f64 y z) (*.f64 z 5))
(+.f64 (.f64 z x) (.f64 5 z))
(*.f64 z (+.f64 x 5))
(+.f64 (.f64 z x) (+.f64 (.f64 y x) (*.f64 5 z)))
(fma.f64 y x (*.f64 z (+.f64 x 5)))
(fma.f64 x (+.f64 y z) (*.f64 z 5))
(+.f64 (.f64 z x) (+.f64 (.f64 y x) (*.f64 5 z)))
(fma.f64 y x (*.f64 z (+.f64 x 5)))
(fma.f64 x (+.f64 y z) (*.f64 z 5))
(+.f64 (.f64 z x) (+.f64 (.f64 y x) (*.f64 5 z)))
(fma.f64 y x (*.f64 z (+.f64 x 5)))
(fma.f64 x (+.f64 y z) (*.f64 z 5))
(*.f64 y x)
(+.f64 (.f64 z x) (+.f64 (.f64 y x) (*.f64 5 z)))
(fma.f64 y x (*.f64 z (+.f64 x 5)))
(fma.f64 x (+.f64 y z) (*.f64 z 5))
(+.f64 (.f64 z x) (+.f64 (.f64 y x) (*.f64 5 z)))
(fma.f64 y x (*.f64 z (+.f64 x 5)))
(fma.f64 x (+.f64 y z) (*.f64 z 5))
(+.f64 (.f64 z x) (+.f64 (.f64 y x) (*.f64 5 z)))
(fma.f64 y x (*.f64 z (+.f64 x 5)))
(fma.f64 x (+.f64 y z) (*.f64 z 5))
(*.f64 y x)
(+.f64 (.f64 z x) (+.f64 (.f64 y x) (*.f64 5 z)))
(fma.f64 y x (*.f64 z (+.f64 x 5)))
(fma.f64 x (+.f64 y z) (*.f64 z 5))
(+.f64 (.f64 z x) (+.f64 (.f64 y x) (*.f64 5 z)))
(fma.f64 y x (*.f64 z (+.f64 x 5)))
(fma.f64 x (+.f64 y z) (*.f64 z 5))
(+.f64 (.f64 z x) (+.f64 (.f64 y x) (*.f64 5 z)))
(fma.f64 y x (*.f64 z (+.f64 x 5)))
(fma.f64 x (+.f64 y z) (*.f64 z 5))
(*.f64 y x)
(+.f64 (.f64 z x) (.f64 y x))
(*.f64 x (+.f64 y z))
(+.f64 (.f64 z x) (.f64 y x))
(*.f64 x (+.f64 y z))
(+.f64 (.f64 z x) (.f64 y x))
(*.f64 x (+.f64 y z))
(*.f64 z x)
(*.f64 x z)
(+.f64 (.f64 z x) (.f64 y x))
(*.f64 x (+.f64 y z))
(+.f64 (.f64 z x) (.f64 y x))
(*.f64 x (+.f64 y z))
(+.f64 (.f64 z x) (.f64 y x))
(*.f64 x (+.f64 y z))
(*.f64 z x)
(*.f64 x z)
(+.f64 (.f64 z x) (.f64 y x))
(*.f64 x (+.f64 y z))
(+.f64 (.f64 z x) (.f64 y x))
(*.f64 x (+.f64 y z))
(+.f64 (.f64 z x) (.f64 y x))
(*.f64 x (+.f64 y z))
(*.f64 (+.f64 y z) x)
(*.f64 x (+.f64 y z))
(*.f64 (+.f64 y z) x)
(*.f64 x (+.f64 y z))
(*.f64 (+.f64 y z) x)
(*.f64 x (+.f64 y z))
(*.f64 (+.f64 y z) x)
(*.f64 x (+.f64 y z))
(*.f64 (+.f64 y z) x)
(*.f64 x (+.f64 y z))
(*.f64 (+.f64 y z) x)
(*.f64 x (+.f64 y z))
(*.f64 (+.f64 y z) x)
(*.f64 x (+.f64 y z))
(*.f64 (+.f64 y z) x)
(*.f64 x (+.f64 y z))
(.f64 -1 (.f64 (+.f64 (.f64 -1 z) (.f64 -1 y)) x))
(*.f64 x (+.f64 y z))
(.f64 -1 (.f64 (+.f64 (.f64 -1 z) (.f64 -1 y)) x))
(*.f64 x (+.f64 y z))
(.f64 -1 (.f64 (+.f64 (.f64 -1 z) (.f64 -1 y)) x))
(*.f64 x (+.f64 y z))
(.f64 -1 (.f64 (+.f64 (.f64 -1 z) (.f64 -1 y)) x))
(*.f64 x (+.f64 y z))
(*.f64 z x)
(*.f64 x z)
(+.f64 (.f64 z x) (.f64 y x))
(*.f64 x (+.f64 y z))
(+.f64 (.f64 z x) (.f64 y x))
(*.f64 x (+.f64 y z))
(+.f64 (.f64 z x) (.f64 y x))
(*.f64 x (+.f64 y z))
(*.f64 y x)
(+.f64 (.f64 z x) (.f64 y x))
(*.f64 x (+.f64 y z))
(+.f64 (.f64 z x) (.f64 y x))
(*.f64 x (+.f64 y z))
(+.f64 (.f64 z x) (.f64 y x))
(*.f64 x (+.f64 y z))
(*.f64 y x)
(+.f64 (.f64 z x) (.f64 y x))
(*.f64 x (+.f64 y z))
(+.f64 (.f64 z x) (.f64 y x))
(*.f64 x (+.f64 y z))
(+.f64 (.f64 z x) (.f64 y x))
(*.f64 x (+.f64 y z))

eval129.0ms (1.9%)

Compiler: Compiled 3898 to 1847 computations (52.6% saved)

prune99.0ms (1.5%)

Pruning

12 alts after pruning (7 fresh and 5 done)

	Pruned	Kept	Total
New	295	4	299
Fresh	0	3	3
Picked	1	0	1
Done	1	5	6
Total	297	12	309

Error

Counts

309 → 12

Alt Table

Click to see full alt table

Status	Error	Program
	29.6b	(/.f64 (-.f64 (.f64 (.f64 x (+.f64 y z)) (.f64 x (+.f64 y z))) (.f64 25 (.f64 z z))) (-.f64 (.f64 x (+.f64 y z)) (*.f64 z 5)))
✓	22.4b	(*.f64 z (+.f64 5 x))
▶	50.0b	(*.f64 z x)
▶	0.0b	(fma.f64 z (+.f64 x 5) (*.f64 y x))
✓	0.1b	(fma.f64 x (+.f64 y z) (*.f64 z 5))
✓	35.0b	(*.f64 5 z)
▶	28.3b	(*.f64 (+.f64 z y) x)
▶	28.6b	(/.f64 (.f64 (-.f64 25 (.f64 x x)) z) (-.f64 5 x))
	22.4b	(fma.f64 z 5 (*.f64 z x))
✓	0.1b	(+.f64 (.f64 x (+.f64 y z)) (.f64 z 5))
▶	40.3b	(*.f64 y x)
✓	22.4b	(+.f64 (.f64 z x) (.f64 z 5))

Compiler

Compiled 215 to 133 computations (38.1% saved)

localize20.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 z (+.f64 x 5) (*.f64 y x))

Compiler

Compiled 21 to 10 computations (52.4% saved)

series6.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	(fma.f64 z (+.f64 x 5) (*.f64 y x))
1.0ms	x	@	-inf	(fma.f64 z (+.f64 x 5) (*.f64 y x))
1.0ms	z	@	-inf	(fma.f64 z (+.f64 x 5) (*.f64 y x))
1.0ms	z	@	0	(fma.f64 z (+.f64 x 5) (*.f64 y x))
1.0ms	z	@	inf	(fma.f64 z (+.f64 x 5) (*.f64 y x))

rewrite84.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

876×	`pow1_binary64`
813×	`add-log-exp_binary64`
813×	`log1p-expm1-u_binary64`
813×	`expm1-log1p-u_binary64`
797×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	170	11
2	2128	11

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

Inputs
(fma.f64 z (+.f64 x 5) (*.f64 y x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x y) (*.f64 z (+.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (+.f64 x 5)) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 z (+.f64 x 5)) 1) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 z (+.f64 x 5) (*.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 z (+.f64 x 5) (*.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 z (+.f64 x 5) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 z (+.f64 x 5) (*.f64 x y))) (pow.f64 (cbrt.f64 (fma.f64 z (+.f64 x 5) (*.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 z (+.f64 x 5) (*.f64 x y))) 2) (cbrt.f64 (fma.f64 z (+.f64 x 5) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 z (+.f64 x 5) (*.f64 x y))) (sqrt.f64 (fma.f64 z (+.f64 x 5) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 z (+.f64 x 5)) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (*.f64 (*.f64 z (+.f64 x 5)) (*.f64 z (+.f64 x 5))) (-.f64 (pow.f64 (*.f64 x y) 2) (*.f64 (*.f64 z (+.f64 x 5)) (*.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 z (+.f64 x 5)) (*.f64 z (+.f64 x 5))) (pow.f64 (*.f64 x y) 2)) (-.f64 (*.f64 z (+.f64 x 5)) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 z (+.f64 x 5) (*.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 z (+.f64 x 5) (*.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 z (+.f64 x 5) (*.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 z (+.f64 x 5) (*.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 z (+.f64 x 5) (*.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 z (+.f64 x 5) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 z (+.f64 x 5) (*.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 z (+.f64 x 5) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 z (+.f64 x 5) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 z (+.f64 x 5) (*.f64 x y))))))))

simplify87.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

285×	`fma-neg_binary64`
249×	`fma-def_binary64`
97×	`cancel-sign-sub-inv_binary64`
71×	`distribute-rgt-in_binary64`
45×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	348
1	50	348
2	117	348
3	272	348
4	560	348
5	901	348
6	1273	348
7	1449	348
8	1465	348

Stop Event

1×

saturated

Counts

57 → 33

Calls

Call 1

Inputs
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 z (+.f64 5 x)))
(+.f64 (.f64 y x) (.f64 z (+.f64 5 x)))
(+.f64 (.f64 y x) (.f64 z (+.f64 5 x)))
(*.f64 z (+.f64 5 x))
(+.f64 (.f64 y x) (.f64 z (+.f64 5 x)))
(+.f64 (.f64 y x) (.f64 z (+.f64 5 x)))
(+.f64 (.f64 y x) (.f64 z (+.f64 5 x)))
(*.f64 z (+.f64 5 x))
(+.f64 (.f64 y x) (.f64 z (+.f64 5 x)))
(+.f64 (.f64 y x) (.f64 z (+.f64 5 x)))
(+.f64 (.f64 y x) (.f64 z (+.f64 5 x)))
(*.f64 5 z)
(+.f64 (.f64 (+.f64 y z) x) (.f64 5 z))
(+.f64 (.f64 (+.f64 y z) x) (.f64 5 z))
(+.f64 (.f64 (+.f64 y z) x) (.f64 5 z))
(*.f64 (+.f64 y z) x)
(+.f64 (.f64 (+.f64 y z) x) (.f64 5 z))
(+.f64 (.f64 (+.f64 y z) x) (.f64 5 z))
(+.f64 (.f64 (+.f64 y z) x) (.f64 5 z))
(.f64 -1 (.f64 (+.f64 (.f64 -1 z) (.f64 -1 y)) x))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 z) (.f64 -1 y)) x)) (*.f64 5 z))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 z) (.f64 -1 y)) x)) (*.f64 5 z))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 z) (.f64 -1 y)) x)) (*.f64 5 z))
(*.f64 z (+.f64 5 x))
(+.f64 (.f64 y x) (.f64 z (+.f64 5 x)))
(+.f64 (.f64 y x) (.f64 z (+.f64 5 x)))
(+.f64 (.f64 y x) (.f64 z (+.f64 5 x)))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 z (+.f64 5 x)))
(+.f64 (.f64 y x) (.f64 z (+.f64 5 x)))
(+.f64 (.f64 y x) (.f64 z (+.f64 5 x)))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 z (+.f64 5 x)))
(+.f64 (.f64 y x) (.f64 z (+.f64 5 x)))
(+.f64 (.f64 y x) (.f64 z (+.f64 5 x)))

Outputs
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 z (+.f64 5 x)))
(fma.f64 y x (*.f64 z (+.f64 x 5)))
(fma.f64 z (+.f64 x 5) (*.f64 y x))
(+.f64 (.f64 y x) (.f64 z (+.f64 5 x)))
(fma.f64 y x (*.f64 z (+.f64 x 5)))
(fma.f64 z (+.f64 x 5) (*.f64 y x))
(+.f64 (.f64 y x) (.f64 z (+.f64 5 x)))
(fma.f64 y x (*.f64 z (+.f64 x 5)))
(fma.f64 z (+.f64 x 5) (*.f64 y x))
(*.f64 z (+.f64 5 x))
(*.f64 z (+.f64 x 5))
(+.f64 (.f64 y x) (.f64 z (+.f64 5 x)))
(fma.f64 y x (*.f64 z (+.f64 x 5)))
(fma.f64 z (+.f64 x 5) (*.f64 y x))
(+.f64 (.f64 y x) (.f64 z (+.f64 5 x)))
(fma.f64 y x (*.f64 z (+.f64 x 5)))
(fma.f64 z (+.f64 x 5) (*.f64 y x))
(+.f64 (.f64 y x) (.f64 z (+.f64 5 x)))
(fma.f64 y x (*.f64 z (+.f64 x 5)))
(fma.f64 z (+.f64 x 5) (*.f64 y x))
(*.f64 z (+.f64 5 x))
(*.f64 z (+.f64 x 5))
(+.f64 (.f64 y x) (.f64 z (+.f64 5 x)))
(fma.f64 y x (*.f64 z (+.f64 x 5)))
(fma.f64 z (+.f64 x 5) (*.f64 y x))
(+.f64 (.f64 y x) (.f64 z (+.f64 5 x)))
(fma.f64 y x (*.f64 z (+.f64 x 5)))
(fma.f64 z (+.f64 x 5) (*.f64 y x))
(+.f64 (.f64 y x) (.f64 z (+.f64 5 x)))
(fma.f64 y x (*.f64 z (+.f64 x 5)))
(fma.f64 z (+.f64 x 5) (*.f64 y x))
(*.f64 5 z)
(*.f64 z 5)
(+.f64 (.f64 (+.f64 y z) x) (.f64 5 z))
(fma.f64 y x (*.f64 z (+.f64 x 5)))
(fma.f64 z (+.f64 x 5) (*.f64 y x))
(+.f64 (.f64 (+.f64 y z) x) (.f64 5 z))
(fma.f64 y x (*.f64 z (+.f64 x 5)))
(fma.f64 z (+.f64 x 5) (*.f64 y x))
(+.f64 (.f64 (+.f64 y z) x) (.f64 5 z))
(fma.f64 y x (*.f64 z (+.f64 x 5)))
(fma.f64 z (+.f64 x 5) (*.f64 y x))
(*.f64 (+.f64 y z) x)
(*.f64 x (+.f64 y z))
(+.f64 (.f64 (+.f64 y z) x) (.f64 5 z))
(fma.f64 y x (*.f64 z (+.f64 x 5)))
(fma.f64 z (+.f64 x 5) (*.f64 y x))
(+.f64 (.f64 (+.f64 y z) x) (.f64 5 z))
(fma.f64 y x (*.f64 z (+.f64 x 5)))
(fma.f64 z (+.f64 x 5) (*.f64 y x))
(+.f64 (.f64 (+.f64 y z) x) (.f64 5 z))
(fma.f64 y x (*.f64 z (+.f64 x 5)))
(fma.f64 z (+.f64 x 5) (*.f64 y x))
(.f64 -1 (.f64 (+.f64 (.f64 -1 z) (.f64 -1 y)) x))
(*.f64 x (+.f64 y z))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 z) (.f64 -1 y)) x)) (*.f64 5 z))
(fma.f64 y x (*.f64 z (+.f64 x 5)))
(fma.f64 z (+.f64 x 5) (*.f64 y x))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 z) (.f64 -1 y)) x)) (*.f64 5 z))
(fma.f64 y x (*.f64 z (+.f64 x 5)))
(fma.f64 z (+.f64 x 5) (*.f64 y x))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 z) (.f64 -1 y)) x)) (*.f64 5 z))
(fma.f64 y x (*.f64 z (+.f64 x 5)))
(fma.f64 z (+.f64 x 5) (*.f64 y x))
(*.f64 z (+.f64 5 x))
(*.f64 z (+.f64 x 5))
(+.f64 (.f64 y x) (.f64 z (+.f64 5 x)))
(fma.f64 y x (*.f64 z (+.f64 x 5)))
(fma.f64 z (+.f64 x 5) (*.f64 y x))
(+.f64 (.f64 y x) (.f64 z (+.f64 5 x)))
(fma.f64 y x (*.f64 z (+.f64 x 5)))
(fma.f64 z (+.f64 x 5) (*.f64 y x))
(+.f64 (.f64 y x) (.f64 z (+.f64 5 x)))
(fma.f64 y x (*.f64 z (+.f64 x 5)))
(fma.f64 z (+.f64 x 5) (*.f64 y x))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 z (+.f64 5 x)))
(fma.f64 y x (*.f64 z (+.f64 x 5)))
(fma.f64 z (+.f64 x 5) (*.f64 y x))
(+.f64 (.f64 y x) (.f64 z (+.f64 5 x)))
(fma.f64 y x (*.f64 z (+.f64 x 5)))
(fma.f64 z (+.f64 x 5) (*.f64 y x))
(+.f64 (.f64 y x) (.f64 z (+.f64 5 x)))
(fma.f64 y x (*.f64 z (+.f64 x 5)))
(fma.f64 z (+.f64 x 5) (*.f64 y x))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 z (+.f64 5 x)))
(fma.f64 y x (*.f64 z (+.f64 x 5)))
(fma.f64 z (+.f64 x 5) (*.f64 y x))
(+.f64 (.f64 y x) (.f64 z (+.f64 5 x)))
(fma.f64 y x (*.f64 z (+.f64 x 5)))
(fma.f64 z (+.f64 x 5) (*.f64 y x))
(+.f64 (.f64 y x) (.f64 z (+.f64 5 x)))
(fma.f64 y x (*.f64 z (+.f64 x 5)))
(fma.f64 z (+.f64 x 5) (*.f64 y x))

localize8.0ms (0.1%)

Compiler: Compiled 8 to 4 computations (50% saved)

localize8.0ms (0.1%)

Compiler: Compiled 8 to 4 computations (50% saved)

localize11.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (+.f64 z y) x)

Compiler

Compiled 14 to 5 computations (64.3% saved)

series5.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite95.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

715×	`pow1_binary64`
663×	`add-log-exp_binary64`
663×	`log1p-expm1-u_binary64`
663×	`expm1-log1p-u_binary64`
648×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	128	7
2	1776	7

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

Inputs
(*.f64 (+.f64 z y) x)

Outputs

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

simplify22.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

4×	`fma-def_binary64`
3×	`*-commutative_binary64`
2×	`+-commutative_binary64`
1×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	234
1	16	234
2	19	234

Stop Event

1×

saturated

Counts

57 → 26

Calls

Call 1

Inputs
(*.f64 y x)
(+.f64 (.f64 z x) (.f64 y x))
(+.f64 (.f64 z x) (.f64 y x))
(+.f64 (.f64 z x) (.f64 y x))
(*.f64 z x)
(+.f64 (.f64 z x) (.f64 y x))
(+.f64 (.f64 z x) (.f64 y x))
(+.f64 (.f64 z x) (.f64 y x))
(*.f64 z x)
(+.f64 (.f64 z x) (.f64 y x))
(+.f64 (.f64 z x) (.f64 y x))
(+.f64 (.f64 z x) (.f64 y x))
(*.f64 z x)
(+.f64 (.f64 z x) (.f64 y x))
(+.f64 (.f64 z x) (.f64 y x))
(+.f64 (.f64 z x) (.f64 y x))
(*.f64 y x)
(+.f64 (.f64 z x) (.f64 y x))
(+.f64 (.f64 z x) (.f64 y x))
(+.f64 (.f64 z x) (.f64 y x))
(*.f64 y x)
(+.f64 (.f64 z x) (.f64 y x))
(+.f64 (.f64 z x) (.f64 y x))
(+.f64 (.f64 z x) (.f64 y x))
(*.f64 (+.f64 y z) x)
(*.f64 (+.f64 y z) x)
(*.f64 (+.f64 y z) x)
(*.f64 (+.f64 y z) x)
(*.f64 (+.f64 y z) x)
(*.f64 (+.f64 y z) x)
(*.f64 (+.f64 y z) x)
(*.f64 (+.f64 y z) x)
(*.f64 (+.f64 y z) x)
(*.f64 (+.f64 y z) x)
(*.f64 (+.f64 y z) x)
(*.f64 (+.f64 y z) x)

Outputs
(*.f64 y x)
(+.f64 (.f64 z x) (.f64 y x))
(*.f64 x (+.f64 y z))
(+.f64 (.f64 z x) (.f64 y x))
(*.f64 x (+.f64 y z))
(+.f64 (.f64 z x) (.f64 y x))
(*.f64 x (+.f64 y z))
(*.f64 z x)
(*.f64 x z)
(+.f64 (.f64 z x) (.f64 y x))
(*.f64 x (+.f64 y z))
(+.f64 (.f64 z x) (.f64 y x))
(*.f64 x (+.f64 y z))
(+.f64 (.f64 z x) (.f64 y x))
(*.f64 x (+.f64 y z))
(*.f64 z x)
(*.f64 x z)
(+.f64 (.f64 z x) (.f64 y x))
(*.f64 x (+.f64 y z))
(+.f64 (.f64 z x) (.f64 y x))
(*.f64 x (+.f64 y z))
(+.f64 (.f64 z x) (.f64 y x))
(*.f64 x (+.f64 y z))
(*.f64 z x)
(*.f64 x z)
(+.f64 (.f64 z x) (.f64 y x))
(*.f64 x (+.f64 y z))
(+.f64 (.f64 z x) (.f64 y x))
(*.f64 x (+.f64 y z))
(+.f64 (.f64 z x) (.f64 y x))
(*.f64 x (+.f64 y z))
(*.f64 y x)
(+.f64 (.f64 z x) (.f64 y x))
(*.f64 x (+.f64 y z))
(+.f64 (.f64 z x) (.f64 y x))
(*.f64 x (+.f64 y z))
(+.f64 (.f64 z x) (.f64 y x))
(*.f64 x (+.f64 y z))
(*.f64 y x)
(+.f64 (.f64 z x) (.f64 y x))
(*.f64 x (+.f64 y z))
(+.f64 (.f64 z x) (.f64 y x))
(*.f64 x (+.f64 y z))
(+.f64 (.f64 z x) (.f64 y x))
(*.f64 x (+.f64 y z))
(*.f64 (+.f64 y z) x)
(*.f64 x (+.f64 y z))
(*.f64 (+.f64 y z) x)
(*.f64 x (+.f64 y z))
(*.f64 (+.f64 y z) x)
(*.f64 x (+.f64 y z))
(*.f64 (+.f64 y z) x)
(*.f64 x (+.f64 y z))
(*.f64 (+.f64 y z) x)
(*.f64 x (+.f64 y z))
(*.f64 (+.f64 y z) x)
(*.f64 x (+.f64 y z))
(*.f64 (+.f64 y z) x)
(*.f64 x (+.f64 y z))
(*.f64 (+.f64 y z) x)
(*.f64 x (+.f64 y z))
(*.f64 (+.f64 y z) x)
(*.f64 x (+.f64 y z))
(*.f64 (+.f64 y z) x)
(*.f64 x (+.f64 y z))
(*.f64 (+.f64 y z) x)
(*.f64 x (+.f64 y z))
(*.f64 (+.f64 y z) x)
(*.f64 x (+.f64 y z))

localize27.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	2.7b	(.f64 (-.f64 25 (.f64 x x)) z)
✓	5.9b	(/.f64 (.f64 (-.f64 25 (.f64 x x)) z) (-.f64 5 x))

Compiler

Compiled 36 to 19 computations (47.2% saved)

series16.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
5.0ms	x	@	inf	(/.f64 (.f64 (-.f64 25 (.f64 x x)) z) (-.f64 5 x))
2.0ms	z	@	0	(/.f64 (.f64 (-.f64 25 (.f64 x x)) z) (-.f64 5 x))
1.0ms	x	@	0	(/.f64 (.f64 (-.f64 25 (.f64 x x)) z) (-.f64 5 x))
1.0ms	z	@	inf	(/.f64 (.f64 (-.f64 25 (.f64 x x)) z) (-.f64 5 x))
1.0ms	z	@	-inf	(/.f64 (.f64 (-.f64 25 (.f64 x x)) z) (-.f64 5 x))

rewrite107.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

553×	`log-prod_binary64`
337×	`pow-prod-down_binary64`
296×	`pow2_binary64`
205×	`pow1/3_binary64`
202×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	26
1	230	17
2	3205	17

Stop Event

1×	node limit

Counts

2 → 84

Calls

Call 1

Inputs
(/.f64 (.f64 (-.f64 25 (.f64 x x)) z) (-.f64 5 x))
(.f64 (-.f64 25 (.f64 x x)) z)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 x 5) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (+.f64 x 5) z))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (+.f64 x 5) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (+.f64 x 5) z)))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (+.f64 x 5) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 x 5) z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 25 (/.f64 (-.f64 5 x) z)) (/.f64 (*.f64 x x) (/.f64 (-.f64 5 x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 25 (*.f64 x x)) (/.f64 1 (/.f64 (-.f64 5 x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 25 (*.f64 x x)) (*.f64 z (/.f64 1 (-.f64 5 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (*.f64 (-.f64 25 (*.f64 x x)) (/.f64 1 (-.f64 5 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 25 (*.f64 x x)) z) (/.f64 1 (-.f64 5 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x 5) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (+.f64 x 5) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (+.f64 x 5) z)) (pow.f64 (cbrt.f64 (*.f64 (+.f64 x 5) z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 x 5) z)) 2) (cbrt.f64 (*.f64 (+.f64 x 5) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 25 (*.f64 x x)) z)) 2) (*.f64 (cbrt.f64 (*.f64 (-.f64 25 (*.f64 x x)) z)) (/.f64 1 (-.f64 5 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (+.f64 x 5) z)) (sqrt.f64 (*.f64 (+.f64 x 5) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (-.f64 25 (*.f64 x x)) z)) (*.f64 (sqrt.f64 (*.f64 (-.f64 25 (*.f64 x x)) z)) (/.f64 1 (-.f64 5 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 25 (*.f64 x x)) (neg.f64 z)) (/.f64 1 (neg.f64 (-.f64 5 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 5 x)) (*.f64 (-.f64 25 (*.f64 x x)) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x 5) z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 25 (*.f64 x x)) 1) (/.f64 z (-.f64 5 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z 1) (+.f64 x 5))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 25 (*.f64 x x)) z)) 2) 1) (/.f64 (cbrt.f64 (*.f64 (-.f64 25 (*.f64 x x)) z)) (-.f64 5 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 25 (*.f64 x x)) z)) 1) (/.f64 (sqrt.f64 (*.f64 (-.f64 25 (*.f64 x x)) z)) (-.f64 5 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 25 (*.f64 x x)) (pow.f64 (cbrt.f64 (-.f64 5 x)) 2)) (/.f64 z (cbrt.f64 (-.f64 5 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z (pow.f64 (cbrt.f64 (-.f64 5 x)) 2)) (/.f64 (-.f64 25 (*.f64 x x)) (cbrt.f64 (-.f64 5 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 5 x)) -2) (/.f64 (*.f64 (-.f64 25 (*.f64 x x)) z) (cbrt.f64 (-.f64 5 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 25 (*.f64 x x)) z)) 2) (pow.f64 (cbrt.f64 (-.f64 5 x)) 2)) (cbrt.f64 (*.f64 (+.f64 x 5) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 25 (*.f64 x x)) z)) (pow.f64 (cbrt.f64 (-.f64 5 x)) 2)) (/.f64 (sqrt.f64 (*.f64 (-.f64 25 (*.f64 x x)) z)) (cbrt.f64 (-.f64 5 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 25 (*.f64 x x)) (sqrt.f64 (-.f64 5 x))) (/.f64 z (sqrt.f64 (-.f64 5 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z (sqrt.f64 (-.f64 5 x))) (/.f64 (-.f64 25 (*.f64 x x)) (sqrt.f64 (-.f64 5 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 5 x) -1/2) (/.f64 (*.f64 (-.f64 25 (*.f64 x x)) z) (sqrt.f64 (-.f64 5 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 25 (*.f64 x x)) z)) 2) (sqrt.f64 (-.f64 5 x))) (/.f64 (cbrt.f64 (*.f64 (-.f64 25 (*.f64 x x)) z)) (sqrt.f64 (-.f64 5 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (-.f64 25 (*.f64 x x)) z) (-.f64 25 (*.f64 x x))) (+.f64 x 5))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (-.f64 25 (*.f64 x x)) z) (-.f64 125 (pow.f64 x 3))) (fma.f64 x (+.f64 x 5) 25))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 x 5) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 x 5) z) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 x 5) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 x 5) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 x 5) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (*.f64 (+.f64 x 5) z)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 (-.f64 25 (*.f64 x x)) z) 3) (pow.f64 (-.f64 5 x) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 1 (*.f64 (+.f64 x 5) z)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (-.f64 25 (*.f64 x x)) z) (neg.f64 (-.f64 5 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 x 5) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (+.f64 x 5) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 x 5) z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 x 5) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 (-.f64 25 (*.f64 x x)) z) 3) (pow.f64 (-.f64 5 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 x 5) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 x 5) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 x 5) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 x 5) z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (+.f64 x 5) z) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (+.f64 x 5) z))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 x 5) z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 (+.f64 x 5) z))) -1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 25 (*.f64 x x)) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 25 z) (*.f64 (*.f64 x (neg.f64 x)) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z 25) (*.f64 z (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (-.f64 25 (*.f64 x x)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (-.f64 25 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (-.f64 25 (*.f64 x x))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (-.f64 25 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 25 (*.f64 x x)) z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 15625 (pow.f64 x 6)) z) (fma.f64 (*.f64 x x) (fma.f64 x x 25) 625))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 625 (pow.f64 x 4)) z) (fma.f64 x x 25))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (-.f64 15625 (pow.f64 x 6))) (fma.f64 (*.f64 x x) (fma.f64 x x 25) 625))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (-.f64 625 (pow.f64 x 4))) (fma.f64 x x 25))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 25 (*.f64 x x)) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 25 (*.f64 x x)) z) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 25 (*.f64 x x)) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 25 (*.f64 x x)) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 25 (*.f64 x x)) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 25 (*.f64 x x)) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (-.f64 25 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 25 (*.f64 x x)) z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 25 (*.f64 x x)) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 25 (*.f64 x x)) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 25 (*.f64 x x)) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 25 (*.f64 x x)) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 25 (*.f64 x x)) z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (-.f64 25 (*.f64 x x)) z))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 25 (*.f64 x x)) z))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 25 (*.f64 x x)) z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 25 z (*.f64 (*.f64 x (neg.f64 x)) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z 25 (*.f64 z (*.f64 x (neg.f64 x))))))))

simplify78.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

912×	`fma-neg_binary64`
871×	`times-frac_binary64`
647×	`associate-/l*_binary64`
630×	`associate-/r*_binary64`
582×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	592
1	43	499
2	91	499
3	201	499
4	564	499
5	2015	499
6	7682	499

Stop Event

1×	node limit

Counts

132 → 97

Calls

Call 1

Inputs
(*.f64 5 z)
(+.f64 (.f64 z x) (.f64 5 z))
(+.f64 (.f64 z x) (.f64 5 z))
(+.f64 (.f64 z x) (.f64 5 z))
(*.f64 z x)
(+.f64 (.f64 z x) (.f64 5 z))
(+.f64 (.f64 z x) (.f64 5 z))
(+.f64 (.f64 z x) (.f64 5 z))
(*.f64 z x)
(+.f64 (.f64 z x) (.f64 5 z))
(+.f64 (.f64 z x) (.f64 5 z))
(+.f64 (.f64 z x) (.f64 5 z))
(/.f64 (*.f64 z (-.f64 25 (pow.f64 x 2))) (-.f64 5 x))
(/.f64 (*.f64 z (-.f64 25 (pow.f64 x 2))) (-.f64 5 x))
(/.f64 (*.f64 z (-.f64 25 (pow.f64 x 2))) (-.f64 5 x))
(/.f64 (*.f64 z (-.f64 25 (pow.f64 x 2))) (-.f64 5 x))
(/.f64 (*.f64 z (-.f64 25 (pow.f64 x 2))) (-.f64 5 x))
(/.f64 (*.f64 z (-.f64 25 (pow.f64 x 2))) (-.f64 5 x))
(/.f64 (*.f64 z (-.f64 25 (pow.f64 x 2))) (-.f64 5 x))
(/.f64 (*.f64 z (-.f64 25 (pow.f64 x 2))) (-.f64 5 x))
(/.f64 (*.f64 z (-.f64 25 (pow.f64 x 2))) (-.f64 5 x))
(/.f64 (*.f64 z (-.f64 25 (pow.f64 x 2))) (-.f64 5 x))
(/.f64 (*.f64 z (-.f64 25 (pow.f64 x 2))) (-.f64 5 x))
(/.f64 (*.f64 z (-.f64 25 (pow.f64 x 2))) (-.f64 5 x))
(*.f64 25 z)
(+.f64 (.f64 -1 (.f64 z (pow.f64 x 2))) (*.f64 25 z))
(+.f64 (.f64 -1 (.f64 z (pow.f64 x 2))) (*.f64 25 z))
(+.f64 (.f64 -1 (.f64 z (pow.f64 x 2))) (*.f64 25 z))
(.f64 -1 (.f64 z (pow.f64 x 2)))
(+.f64 (.f64 -1 (.f64 z (pow.f64 x 2))) (*.f64 25 z))
(+.f64 (.f64 -1 (.f64 z (pow.f64 x 2))) (*.f64 25 z))
(+.f64 (.f64 -1 (.f64 z (pow.f64 x 2))) (*.f64 25 z))
(.f64 -1 (.f64 z (pow.f64 x 2)))
(+.f64 (.f64 -1 (.f64 z (pow.f64 x 2))) (*.f64 25 z))
(+.f64 (.f64 -1 (.f64 z (pow.f64 x 2))) (*.f64 25 z))
(+.f64 (.f64 -1 (.f64 z (pow.f64 x 2))) (*.f64 25 z))
(*.f64 z (-.f64 25 (pow.f64 x 2)))
(*.f64 z (-.f64 25 (pow.f64 x 2)))
(*.f64 z (-.f64 25 (pow.f64 x 2)))
(*.f64 z (-.f64 25 (pow.f64 x 2)))
(*.f64 z (-.f64 25 (pow.f64 x 2)))
(*.f64 z (-.f64 25 (pow.f64 x 2)))
(*.f64 z (-.f64 25 (pow.f64 x 2)))
(*.f64 z (-.f64 25 (pow.f64 x 2)))
(*.f64 z (-.f64 25 (pow.f64 x 2)))
(*.f64 z (-.f64 25 (pow.f64 x 2)))
(*.f64 z (-.f64 25 (pow.f64 x 2)))
(*.f64 z (-.f64 25 (pow.f64 x 2)))

Outputs
(*.f64 5 z)
(+.f64 (.f64 z x) (.f64 5 z))
(fma.f64 z x (*.f64 5 z))
(*.f64 z (+.f64 5 x))
(+.f64 (.f64 z x) (.f64 5 z))
(fma.f64 z x (*.f64 5 z))
(*.f64 z (+.f64 5 x))
(+.f64 (.f64 z x) (.f64 5 z))
(fma.f64 z x (*.f64 5 z))
(*.f64 z (+.f64 5 x))
(*.f64 z x)
(+.f64 (.f64 z x) (.f64 5 z))
(fma.f64 z x (*.f64 5 z))
(*.f64 z (+.f64 5 x))
(+.f64 (.f64 z x) (.f64 5 z))
(fma.f64 z x (*.f64 5 z))
(*.f64 z (+.f64 5 x))
(+.f64 (.f64 z x) (.f64 5 z))
(fma.f64 z x (*.f64 5 z))
(*.f64 z (+.f64 5 x))
(*.f64 z x)
(+.f64 (.f64 z x) (.f64 5 z))
(fma.f64 z x (*.f64 5 z))
(*.f64 z (+.f64 5 x))
(+.f64 (.f64 z x) (.f64 5 z))
(fma.f64 z x (*.f64 5 z))
(*.f64 z (+.f64 5 x))
(+.f64 (.f64 z x) (.f64 5 z))
(fma.f64 z x (*.f64 5 z))
(*.f64 z (+.f64 5 x))
(/.f64 (*.f64 z (-.f64 25 (pow.f64 x 2))) (-.f64 5 x))
(/.f64 z (/.f64 (-.f64 5 x) (-.f64 25 (*.f64 x x))))
(.f64 (/.f64 z (-.f64 5 x)) (-.f64 25 (.f64 x x)))
(.f64 (-.f64 25 (.f64 x x)) (/.f64 z (-.f64 5 x)))
(*.f64 z (/.f64 (fma.f64 x (neg.f64 x) 25) (-.f64 5 x)))
(/.f64 (*.f64 (neg.f64 z) (fma.f64 x x -25)) (-.f64 5 x))
(.f64 z (/.f64 (-.f64 25 (.f64 x x)) (-.f64 5 x)))
(/.f64 (*.f64 z (-.f64 25 (pow.f64 x 2))) (-.f64 5 x))
(/.f64 z (/.f64 (-.f64 5 x) (-.f64 25 (*.f64 x x))))
(.f64 (/.f64 z (-.f64 5 x)) (-.f64 25 (.f64 x x)))
(.f64 (-.f64 25 (.f64 x x)) (/.f64 z (-.f64 5 x)))
(*.f64 z (/.f64 (fma.f64 x (neg.f64 x) 25) (-.f64 5 x)))
(/.f64 (*.f64 (neg.f64 z) (fma.f64 x x -25)) (-.f64 5 x))
(.f64 z (/.f64 (-.f64 25 (.f64 x x)) (-.f64 5 x)))
(/.f64 (*.f64 z (-.f64 25 (pow.f64 x 2))) (-.f64 5 x))
(/.f64 z (/.f64 (-.f64 5 x) (-.f64 25 (*.f64 x x))))
(.f64 (/.f64 z (-.f64 5 x)) (-.f64 25 (.f64 x x)))
(.f64 (-.f64 25 (.f64 x x)) (/.f64 z (-.f64 5 x)))
(*.f64 z (/.f64 (fma.f64 x (neg.f64 x) 25) (-.f64 5 x)))
(/.f64 (*.f64 (neg.f64 z) (fma.f64 x x -25)) (-.f64 5 x))
(.f64 z (/.f64 (-.f64 25 (.f64 x x)) (-.f64 5 x)))
(/.f64 (*.f64 z (-.f64 25 (pow.f64 x 2))) (-.f64 5 x))
(/.f64 z (/.f64 (-.f64 5 x) (-.f64 25 (*.f64 x x))))
(.f64 (/.f64 z (-.f64 5 x)) (-.f64 25 (.f64 x x)))
(.f64 (-.f64 25 (.f64 x x)) (/.f64 z (-.f64 5 x)))
(*.f64 z (/.f64 (fma.f64 x (neg.f64 x) 25) (-.f64 5 x)))
(/.f64 (*.f64 (neg.f64 z) (fma.f64 x x -25)) (-.f64 5 x))
(.f64 z (/.f64 (-.f64 25 (.f64 x x)) (-.f64 5 x)))
(/.f64 (*.f64 z (-.f64 25 (pow.f64 x 2))) (-.f64 5 x))
(/.f64 z (/.f64 (-.f64 5 x) (-.f64 25 (*.f64 x x))))
(.f64 (/.f64 z (-.f64 5 x)) (-.f64 25 (.f64 x x)))
(.f64 (-.f64 25 (.f64 x x)) (/.f64 z (-.f64 5 x)))
(*.f64 z (/.f64 (fma.f64 x (neg.f64 x) 25) (-.f64 5 x)))
(/.f64 (*.f64 (neg.f64 z) (fma.f64 x x -25)) (-.f64 5 x))
(.f64 z (/.f64 (-.f64 25 (.f64 x x)) (-.f64 5 x)))
(/.f64 (*.f64 z (-.f64 25 (pow.f64 x 2))) (-.f64 5 x))
(/.f64 z (/.f64 (-.f64 5 x) (-.f64 25 (*.f64 x x))))
(.f64 (/.f64 z (-.f64 5 x)) (-.f64 25 (.f64 x x)))
(.f64 (-.f64 25 (.f64 x x)) (/.f64 z (-.f64 5 x)))
(*.f64 z (/.f64 (fma.f64 x (neg.f64 x) 25) (-.f64 5 x)))
(/.f64 (*.f64 (neg.f64 z) (fma.f64 x x -25)) (-.f64 5 x))
(.f64 z (/.f64 (-.f64 25 (.f64 x x)) (-.f64 5 x)))
(/.f64 (*.f64 z (-.f64 25 (pow.f64 x 2))) (-.f64 5 x))
(/.f64 z (/.f64 (-.f64 5 x) (-.f64 25 (*.f64 x x))))
(.f64 (/.f64 z (-.f64 5 x)) (-.f64 25 (.f64 x x)))
(.f64 (-.f64 25 (.f64 x x)) (/.f64 z (-.f64 5 x)))
(*.f64 z (/.f64 (fma.f64 x (neg.f64 x) 25) (-.f64 5 x)))
(/.f64 (*.f64 (neg.f64 z) (fma.f64 x x -25)) (-.f64 5 x))
(.f64 z (/.f64 (-.f64 25 (.f64 x x)) (-.f64 5 x)))
(/.f64 (*.f64 z (-.f64 25 (pow.f64 x 2))) (-.f64 5 x))
(/.f64 z (/.f64 (-.f64 5 x) (-.f64 25 (*.f64 x x))))
(.f64 (/.f64 z (-.f64 5 x)) (-.f64 25 (.f64 x x)))
(.f64 (-.f64 25 (.f64 x x)) (/.f64 z (-.f64 5 x)))
(*.f64 z (/.f64 (fma.f64 x (neg.f64 x) 25) (-.f64 5 x)))
(/.f64 (*.f64 (neg.f64 z) (fma.f64 x x -25)) (-.f64 5 x))
(.f64 z (/.f64 (-.f64 25 (.f64 x x)) (-.f64 5 x)))
(/.f64 (*.f64 z (-.f64 25 (pow.f64 x 2))) (-.f64 5 x))
(/.f64 z (/.f64 (-.f64 5 x) (-.f64 25 (*.f64 x x))))
(.f64 (/.f64 z (-.f64 5 x)) (-.f64 25 (.f64 x x)))
(.f64 (-.f64 25 (.f64 x x)) (/.f64 z (-.f64 5 x)))
(*.f64 z (/.f64 (fma.f64 x (neg.f64 x) 25) (-.f64 5 x)))
(/.f64 (*.f64 (neg.f64 z) (fma.f64 x x -25)) (-.f64 5 x))
(.f64 z (/.f64 (-.f64 25 (.f64 x x)) (-.f64 5 x)))
(/.f64 (*.f64 z (-.f64 25 (pow.f64 x 2))) (-.f64 5 x))
(/.f64 z (/.f64 (-.f64 5 x) (-.f64 25 (*.f64 x x))))
(.f64 (/.f64 z (-.f64 5 x)) (-.f64 25 (.f64 x x)))
(.f64 (-.f64 25 (.f64 x x)) (/.f64 z (-.f64 5 x)))
(*.f64 z (/.f64 (fma.f64 x (neg.f64 x) 25) (-.f64 5 x)))
(/.f64 (*.f64 (neg.f64 z) (fma.f64 x x -25)) (-.f64 5 x))
(.f64 z (/.f64 (-.f64 25 (.f64 x x)) (-.f64 5 x)))
(/.f64 (*.f64 z (-.f64 25 (pow.f64 x 2))) (-.f64 5 x))
(/.f64 z (/.f64 (-.f64 5 x) (-.f64 25 (*.f64 x x))))
(.f64 (/.f64 z (-.f64 5 x)) (-.f64 25 (.f64 x x)))
(.f64 (-.f64 25 (.f64 x x)) (/.f64 z (-.f64 5 x)))
(*.f64 z (/.f64 (fma.f64 x (neg.f64 x) 25) (-.f64 5 x)))
(/.f64 (*.f64 (neg.f64 z) (fma.f64 x x -25)) (-.f64 5 x))
(.f64 z (/.f64 (-.f64 25 (.f64 x x)) (-.f64 5 x)))
(/.f64 (*.f64 z (-.f64 25 (pow.f64 x 2))) (-.f64 5 x))
(/.f64 z (/.f64 (-.f64 5 x) (-.f64 25 (*.f64 x x))))
(.f64 (/.f64 z (-.f64 5 x)) (-.f64 25 (.f64 x x)))
(.f64 (-.f64 25 (.f64 x x)) (/.f64 z (-.f64 5 x)))
(*.f64 z (/.f64 (fma.f64 x (neg.f64 x) 25) (-.f64 5 x)))
(/.f64 (*.f64 (neg.f64 z) (fma.f64 x x -25)) (-.f64 5 x))
(.f64 z (/.f64 (-.f64 25 (.f64 x x)) (-.f64 5 x)))
(*.f64 25 z)
(*.f64 z 25)
(+.f64 (.f64 -1 (.f64 z (pow.f64 x 2))) (*.f64 25 z))
(fma.f64 -1 (.f64 z (.f64 x x)) (*.f64 z 25))
(.f64 z (-.f64 25 (.f64 x x)))
(*.f64 z (fma.f64 x (neg.f64 x) 25))
(*.f64 (neg.f64 z) (fma.f64 x x -25))
(+.f64 (.f64 -1 (.f64 z (pow.f64 x 2))) (*.f64 25 z))
(fma.f64 -1 (.f64 z (.f64 x x)) (*.f64 z 25))
(.f64 z (-.f64 25 (.f64 x x)))
(*.f64 z (fma.f64 x (neg.f64 x) 25))
(*.f64 (neg.f64 z) (fma.f64 x x -25))
(+.f64 (.f64 -1 (.f64 z (pow.f64 x 2))) (*.f64 25 z))
(fma.f64 -1 (.f64 z (.f64 x x)) (*.f64 z 25))
(.f64 z (-.f64 25 (.f64 x x)))
(*.f64 z (fma.f64 x (neg.f64 x) 25))
(*.f64 (neg.f64 z) (fma.f64 x x -25))
(.f64 -1 (.f64 z (pow.f64 x 2)))
(neg.f64 (.f64 z (.f64 x x)))
(.f64 (.f64 x x) (neg.f64 z))
(.f64 x (.f64 x (neg.f64 z)))
(.f64 x (.f64 z (neg.f64 x)))
(+.f64 (.f64 -1 (.f64 z (pow.f64 x 2))) (*.f64 25 z))
(fma.f64 -1 (.f64 z (.f64 x x)) (*.f64 z 25))
(.f64 z (-.f64 25 (.f64 x x)))
(*.f64 z (fma.f64 x (neg.f64 x) 25))
(*.f64 (neg.f64 z) (fma.f64 x x -25))
(+.f64 (.f64 -1 (.f64 z (pow.f64 x 2))) (*.f64 25 z))
(fma.f64 -1 (.f64 z (.f64 x x)) (*.f64 z 25))
(.f64 z (-.f64 25 (.f64 x x)))
(*.f64 z (fma.f64 x (neg.f64 x) 25))
(*.f64 (neg.f64 z) (fma.f64 x x -25))
(+.f64 (.f64 -1 (.f64 z (pow.f64 x 2))) (*.f64 25 z))
(fma.f64 -1 (.f64 z (.f64 x x)) (*.f64 z 25))
(.f64 z (-.f64 25 (.f64 x x)))
(*.f64 z (fma.f64 x (neg.f64 x) 25))
(*.f64 (neg.f64 z) (fma.f64 x x -25))
(.f64 -1 (.f64 z (pow.f64 x 2)))
(neg.f64 (.f64 z (.f64 x x)))
(.f64 (.f64 x x) (neg.f64 z))
(.f64 x (.f64 x (neg.f64 z)))
(.f64 x (.f64 z (neg.f64 x)))
(+.f64 (.f64 -1 (.f64 z (pow.f64 x 2))) (*.f64 25 z))
(fma.f64 -1 (.f64 z (.f64 x x)) (*.f64 z 25))
(.f64 z (-.f64 25 (.f64 x x)))
(*.f64 z (fma.f64 x (neg.f64 x) 25))
(*.f64 (neg.f64 z) (fma.f64 x x -25))
(+.f64 (.f64 -1 (.f64 z (pow.f64 x 2))) (*.f64 25 z))
(fma.f64 -1 (.f64 z (.f64 x x)) (*.f64 z 25))
(.f64 z (-.f64 25 (.f64 x x)))
(*.f64 z (fma.f64 x (neg.f64 x) 25))
(*.f64 (neg.f64 z) (fma.f64 x x -25))
(+.f64 (.f64 -1 (.f64 z (pow.f64 x 2))) (*.f64 25 z))
(fma.f64 -1 (.f64 z (.f64 x x)) (*.f64 z 25))
(.f64 z (-.f64 25 (.f64 x x)))
(*.f64 z (fma.f64 x (neg.f64 x) 25))
(*.f64 (neg.f64 z) (fma.f64 x x -25))
(*.f64 z (-.f64 25 (pow.f64 x 2)))
(fma.f64 -1 (.f64 z (.f64 x x)) (*.f64 z 25))
(.f64 z (-.f64 25 (.f64 x x)))
(*.f64 z (fma.f64 x (neg.f64 x) 25))
(*.f64 (neg.f64 z) (fma.f64 x x -25))
(*.f64 z (-.f64 25 (pow.f64 x 2)))
(fma.f64 -1 (.f64 z (.f64 x x)) (*.f64 z 25))
(.f64 z (-.f64 25 (.f64 x x)))
(*.f64 z (fma.f64 x (neg.f64 x) 25))
(*.f64 (neg.f64 z) (fma.f64 x x -25))
(*.f64 z (-.f64 25 (pow.f64 x 2)))
(fma.f64 -1 (.f64 z (.f64 x x)) (*.f64 z 25))
(.f64 z (-.f64 25 (.f64 x x)))
(*.f64 z (fma.f64 x (neg.f64 x) 25))
(*.f64 (neg.f64 z) (fma.f64 x x -25))
(*.f64 z (-.f64 25 (pow.f64 x 2)))
(fma.f64 -1 (.f64 z (.f64 x x)) (*.f64 z 25))
(.f64 z (-.f64 25 (.f64 x x)))
(*.f64 z (fma.f64 x (neg.f64 x) 25))
(*.f64 (neg.f64 z) (fma.f64 x x -25))
(*.f64 z (-.f64 25 (pow.f64 x 2)))
(fma.f64 -1 (.f64 z (.f64 x x)) (*.f64 z 25))
(.f64 z (-.f64 25 (.f64 x x)))
(*.f64 z (fma.f64 x (neg.f64 x) 25))
(*.f64 (neg.f64 z) (fma.f64 x x -25))
(*.f64 z (-.f64 25 (pow.f64 x 2)))
(fma.f64 -1 (.f64 z (.f64 x x)) (*.f64 z 25))
(.f64 z (-.f64 25 (.f64 x x)))
(*.f64 z (fma.f64 x (neg.f64 x) 25))
(*.f64 (neg.f64 z) (fma.f64 x x -25))
(*.f64 z (-.f64 25 (pow.f64 x 2)))
(fma.f64 -1 (.f64 z (.f64 x x)) (*.f64 z 25))
(.f64 z (-.f64 25 (.f64 x x)))
(*.f64 z (fma.f64 x (neg.f64 x) 25))
(*.f64 (neg.f64 z) (fma.f64 x x -25))
(*.f64 z (-.f64 25 (pow.f64 x 2)))
(fma.f64 -1 (.f64 z (.f64 x x)) (*.f64 z 25))
(.f64 z (-.f64 25 (.f64 x x)))
(*.f64 z (fma.f64 x (neg.f64 x) 25))
(*.f64 (neg.f64 z) (fma.f64 x x -25))
(*.f64 z (-.f64 25 (pow.f64 x 2)))
(fma.f64 -1 (.f64 z (.f64 x x)) (*.f64 z 25))
(.f64 z (-.f64 25 (.f64 x x)))
(*.f64 z (fma.f64 x (neg.f64 x) 25))
(*.f64 (neg.f64 z) (fma.f64 x x -25))
(*.f64 z (-.f64 25 (pow.f64 x 2)))
(fma.f64 -1 (.f64 z (.f64 x x)) (*.f64 z 25))
(.f64 z (-.f64 25 (.f64 x x)))
(*.f64 z (fma.f64 x (neg.f64 x) 25))
(*.f64 (neg.f64 z) (fma.f64 x x -25))
(*.f64 z (-.f64 25 (pow.f64 x 2)))
(fma.f64 -1 (.f64 z (.f64 x x)) (*.f64 z 25))
(.f64 z (-.f64 25 (.f64 x x)))
(*.f64 z (fma.f64 x (neg.f64 x) 25))
(*.f64 (neg.f64 z) (fma.f64 x x -25))
(*.f64 z (-.f64 25 (pow.f64 x 2)))
(fma.f64 -1 (.f64 z (.f64 x x)) (*.f64 z 25))
(.f64 z (-.f64 25 (.f64 x x)))
(*.f64 z (fma.f64 x (neg.f64 x) 25))
(*.f64 (neg.f64 z) (fma.f64 x x -25))

eval43.0ms (0.6%)

Compiler: Compiled 1909 to 1147 computations (39.9% saved)

prune33.0ms (0.5%)

Pruning

13 alts after pruning (5 fresh and 8 done)

	Pruned	Kept	Total
New	153	3	156
Fresh	0	2	2
Picked	1	0	1
Done	1	8	9
Total	155	13	168

Error

Counts

168 → 13

Alt Table

Click to see full alt table

Status	Error	Program
▶	26.6b	(-.f64 (/.f64 25 (/.f64 (-.f64 5 x) z)) (/.f64 (*.f64 x x) (/.f64 (-.f64 5 x) z)))
✓	50.0b	(*.f64 z x)
▶	35.1b	(/.f64 (*.f64 z 25) (-.f64 5 x))
✓	0.1b	(+.f64 (.f64 x (+.f64 y z)) (.f64 z 5))
▶	29.6b	(/.f64 (-.f64 (.f64 (.f64 x (+.f64 y z)) (.f64 x (+.f64 y z))) (.f64 25 (.f64 z z))) (-.f64 (.f64 x (+.f64 y z)) (*.f64 z 5)))
✓	22.4b	(*.f64 z (+.f64 5 x))
▶	26.6b	(.f64 (/.f64 (-.f64 25 (.f64 x x)) 1) (/.f64 z (-.f64 5 x)))
✓	0.1b	(fma.f64 x (+.f64 y z) (*.f64 z 5))
✓	35.0b	(*.f64 5 z)
✓	28.3b	(*.f64 (+.f64 z y) x)
▶	22.4b	(fma.f64 z 5 (*.f64 z x))
✓	40.3b	(*.f64 y x)
✓	22.4b	(+.f64 (.f64 z x) (.f64 z 5))

Compiler

Compiled 237 to 154 computations (35% saved)

localize11.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 z 5 (*.f64 z x))

Compiler

Compiled 15 to 7 computations (53.3% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	z	@	0	(fma.f64 z 5 (*.f64 z x))
0.0ms	z	@	-inf	(fma.f64 z 5 (*.f64 z x))
0.0ms	z	@	inf	(fma.f64 z 5 (*.f64 z x))
0.0ms	x	@	-inf	(fma.f64 z 5 (*.f64 z x))
0.0ms	x	@	0	(fma.f64 z 5 (*.f64 z x))

rewrite61.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

554×	`pow1_binary64`
511×	`add-log-exp_binary64`
511×	`log1p-expm1-u_binary64`
511×	`expm1-log1p-u_binary64`
501×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	120	7
2	1367	7

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

Inputs
(fma.f64 z 5 (*.f64 z x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z x) (*.f64 z 5))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z 5) (*.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 z 5) 1) (*.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 z (+.f64 5 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (+.f64 5 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (+.f64 5 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 z (+.f64 5 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 z (+.f64 5 x))) (pow.f64 (cbrt.f64 (*.f64 z (+.f64 5 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 z (+.f64 5 x))) 2) (cbrt.f64 (*.f64 z (+.f64 5 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 z (+.f64 5 x))) (sqrt.f64 (*.f64 z (+.f64 5 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 z 5) 3) (pow.f64 (*.f64 z x) 3)) (+.f64 (*.f64 (*.f64 z 5) (*.f64 z 5)) (-.f64 (pow.f64 (*.f64 z x) 2) (*.f64 (*.f64 z 5) (*.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 z 5) (*.f64 z 5)) (pow.f64 (*.f64 z x) 2)) (-.f64 (*.f64 z 5) (*.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (+.f64 5 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (+.f64 5 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z (+.f64 5 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 z (+.f64 5 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 z (+.f64 5 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 z (+.f64 5 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (+.f64 5 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z (+.f64 5 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (+.f64 5 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z (+.f64 5 x))))))))

simplify24.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

92×	`fma-neg_binary64`
85×	`fma-def_binary64`
23×	`associate-l_binary64`
22×	`distribute-rgt-in_binary64`
22×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	159
1	33	159
2	64	159
3	132	159
4	227	159
5	342	159
6	512	159
7	553	159

Stop Event

1×

saturated

Counts

46 → 27

Calls

Call 1

Inputs
(*.f64 z (+.f64 5 x))
(*.f64 z (+.f64 5 x))
(*.f64 z (+.f64 5 x))
(*.f64 z (+.f64 5 x))
(*.f64 z (+.f64 5 x))
(*.f64 z (+.f64 5 x))
(*.f64 z (+.f64 5 x))
(*.f64 z (+.f64 5 x))
(.f64 -1 (.f64 z (-.f64 (*.f64 -1 x) 5)))
(.f64 -1 (.f64 z (-.f64 (*.f64 -1 x) 5)))
(.f64 -1 (.f64 z (-.f64 (*.f64 -1 x) 5)))
(.f64 -1 (.f64 z (-.f64 (*.f64 -1 x) 5)))
(*.f64 5 z)
(+.f64 (.f64 z x) (.f64 5 z))
(+.f64 (.f64 z x) (.f64 5 z))
(+.f64 (.f64 z x) (.f64 5 z))
(*.f64 z x)
(+.f64 (.f64 z x) (.f64 5 z))
(+.f64 (.f64 z x) (.f64 5 z))
(+.f64 (.f64 z x) (.f64 5 z))
(*.f64 z x)
(+.f64 (.f64 z x) (.f64 5 z))
(+.f64 (.f64 z x) (.f64 5 z))
(+.f64 (.f64 z x) (.f64 5 z))

Outputs
(*.f64 z (+.f64 5 x))
(*.f64 z (+.f64 5 x))
(*.f64 z (+.f64 5 x))
(*.f64 z (+.f64 5 x))
(*.f64 z (+.f64 5 x))
(*.f64 z (+.f64 5 x))
(*.f64 z (+.f64 5 x))
(*.f64 z (+.f64 5 x))
(.f64 -1 (.f64 z (-.f64 (*.f64 -1 x) 5)))
(*.f64 z (+.f64 5 x))
(.f64 -1 (.f64 z (-.f64 (*.f64 -1 x) 5)))
(*.f64 z (+.f64 5 x))
(.f64 -1 (.f64 z (-.f64 (*.f64 -1 x) 5)))
(*.f64 z (+.f64 5 x))
(.f64 -1 (.f64 z (-.f64 (*.f64 -1 x) 5)))
(*.f64 z (+.f64 5 x))
(*.f64 5 z)
(*.f64 z 5)
(+.f64 (.f64 z x) (.f64 5 z))
(*.f64 z (+.f64 5 x))
(+.f64 (.f64 z x) (.f64 5 z))
(*.f64 z (+.f64 5 x))
(+.f64 (.f64 z x) (.f64 5 z))
(*.f64 z (+.f64 5 x))
(*.f64 z x)
(+.f64 (.f64 z x) (.f64 5 z))
(*.f64 z (+.f64 5 x))
(+.f64 (.f64 z x) (.f64 5 z))
(*.f64 z (+.f64 5 x))
(+.f64 (.f64 z x) (.f64 5 z))
(*.f64 z (+.f64 5 x))
(*.f64 z x)
(+.f64 (.f64 z x) (.f64 5 z))
(*.f64 z (+.f64 5 x))
(+.f64 (.f64 z x) (.f64 5 z))
(*.f64 z (+.f64 5 x))
(+.f64 (.f64 z x) (.f64 5 z))
(*.f64 z (+.f64 5 x))

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (*.f64 z 25) (-.f64 5 x))

Compiler

Compiled 20 to 14 computations (30% saved)

series7.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	z	@	inf	(/.f64 (*.f64 z 25) (-.f64 5 x))
1.0ms	z	@	0	(/.f64 (*.f64 z 25) (-.f64 5 x))
1.0ms	x	@	inf	(/.f64 (*.f64 z 25) (-.f64 5 x))
1.0ms	z	@	-inf	(/.f64 (*.f64 z 25) (-.f64 5 x))
1.0ms	x	@	0	(/.f64 (*.f64 z 25) (-.f64 5 x))

rewrite71.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

593×	`unpow-prod-down_binary64`
427×	`log-prod_binary64`
330×	`exp-prod_binary64`
259×	`prod-exp_binary64`
230×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	178	10
2	2374	10

Stop Event

1×	node limit

Counts

1 → 107

Calls

Call 1

Inputs
(/.f64 (*.f64 z 25) (-.f64 5 x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 25 (/.f64 z (-.f64 5 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 25) (/.f64 z (-.f64 5 x)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 25) (/.f64 z (-.f64 5 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 25) (/.f64 z (-.f64 5 x))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 25) (/.f64 z (-.f64 5 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 25 (/.f64 z (-.f64 5 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (/.f64 1 (-.f64 1/5 (/.f64 x 25))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (*.f64 25 (/.f64 1 (-.f64 5 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (pow.f64 (/.f64 1 (-.f64 1/5 (/.f64 x 25))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (pow.f64 (*.f64 25 (/.f64 1 (-.f64 5 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 25 (/.f64 z (-.f64 5 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 25 (*.f64 z (/.f64 1 (-.f64 5 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 25 (pow.f64 (/.f64 z (-.f64 5 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 25 (pow.f64 (/.f64 (-.f64 5 x) z) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z 25) (/.f64 1 (-.f64 5 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 25 (/.f64 z (-.f64 5 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 25 (/.f64 z (-.f64 5 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 25 (/.f64 z (-.f64 5 x)))) (pow.f64 (cbrt.f64 (*.f64 25 (/.f64 z (-.f64 5 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 25 (/.f64 z (-.f64 5 x)))) 2) (cbrt.f64 (*.f64 25 (/.f64 z (-.f64 5 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 z 25)) 2) (*.f64 (cbrt.f64 (*.f64 z 25)) (/.f64 1 (-.f64 5 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 25 (/.f64 z (-.f64 5 x)))) (sqrt.f64 (*.f64 25 (/.f64 z (-.f64 5 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 5 (sqrt.f64 z)) (*.f64 (*.f64 5 (sqrt.f64 z)) (/.f64 1 (-.f64 5 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z -25) (/.f64 1 (neg.f64 (-.f64 5 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z -25) (pow.f64 (/.f64 1 (neg.f64 (-.f64 5 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 5 x)) (*.f64 z 25))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 5 x)) (pow.f64 (/.f64 1 (*.f64 z 25)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z 1) (/.f64 25 (-.f64 5 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z (-.f64 5 x)) 25)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 z 25)) 2) 1) (/.f64 (cbrt.f64 (*.f64 z 25)) (-.f64 5 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 5 (sqrt.f64 z)) 1) (/.f64 (*.f64 5 (sqrt.f64 z)) (-.f64 5 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z (pow.f64 (cbrt.f64 (-.f64 5 x)) 2)) (/.f64 25 (cbrt.f64 (-.f64 5 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 25 (pow.f64 (cbrt.f64 (-.f64 5 x)) 2)) (/.f64 z (cbrt.f64 (-.f64 5 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 5 x)) -2) (/.f64 (*.f64 z 25) (cbrt.f64 (-.f64 5 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 z 25)) 2) (pow.f64 (cbrt.f64 (-.f64 5 x)) 2)) (cbrt.f64 (*.f64 25 (/.f64 z (-.f64 5 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 5 (sqrt.f64 z)) (pow.f64 (cbrt.f64 (-.f64 5 x)) 2)) (/.f64 (*.f64 5 (sqrt.f64 z)) (cbrt.f64 (-.f64 5 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z (sqrt.f64 (-.f64 5 x))) (/.f64 25 (sqrt.f64 (-.f64 5 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 25 (sqrt.f64 (-.f64 5 x))) (/.f64 z (sqrt.f64 (-.f64 5 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 5 x) -1/2) (/.f64 (*.f64 z 25) (sqrt.f64 (-.f64 5 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 z 25)) 2) (sqrt.f64 (-.f64 5 x))) (/.f64 (cbrt.f64 (*.f64 z 25)) (sqrt.f64 (-.f64 5 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 z 25) (-.f64 125 (pow.f64 x 3))) (fma.f64 x (+.f64 5 x) 25))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 z 25) (-.f64 25 (*.f64 x x))) (+.f64 5 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (*.f64 25 (/.f64 z (-.f64 5 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 z (-.f64 5 x)) 1) 25)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 z 1) 1) (pow.f64 (/.f64 25 (-.f64 5 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 z 25)) 2) 1) 1) (pow.f64 (/.f64 (cbrt.f64 (*.f64 z 25)) (-.f64 5 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (*.f64 5 (sqrt.f64 z)) 1) 1) (pow.f64 (/.f64 (*.f64 5 (sqrt.f64 z)) (-.f64 5 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 z (pow.f64 (cbrt.f64 (-.f64 5 x)) 2)) 1) (pow.f64 (/.f64 25 (cbrt.f64 (-.f64 5 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 25 (pow.f64 (cbrt.f64 (-.f64 5 x)) 2)) 1) (pow.f64 (/.f64 z (cbrt.f64 (-.f64 5 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 5 x)) -2) 1) (pow.f64 (/.f64 (*.f64 z 25) (cbrt.f64 (-.f64 5 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 z 25)) 2) (pow.f64 (cbrt.f64 (-.f64 5 x)) 2)) 1) (cbrt.f64 (*.f64 25 (/.f64 z (-.f64 5 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (*.f64 5 (sqrt.f64 z)) (pow.f64 (cbrt.f64 (-.f64 5 x)) 2)) 1) (pow.f64 (/.f64 (*.f64 5 (sqrt.f64 z)) (cbrt.f64 (-.f64 5 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 z (sqrt.f64 (-.f64 5 x))) 1) (pow.f64 (/.f64 25 (sqrt.f64 (-.f64 5 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 25 (sqrt.f64 (-.f64 5 x))) 1) (pow.f64 (/.f64 z (sqrt.f64 (-.f64 5 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (-.f64 5 x) -1/2) 1) (pow.f64 (/.f64 (*.f64 z 25) (sqrt.f64 (-.f64 5 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 z 25)) 2) (sqrt.f64 (-.f64 5 x))) 1) (pow.f64 (/.f64 (cbrt.f64 (*.f64 z 25)) (sqrt.f64 (-.f64 5 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (*.f64 z 25) (-.f64 125 (pow.f64 x 3))) 1) (fma.f64 x (+.f64 5 x) 25))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (*.f64 z 25) (-.f64 25 (*.f64 x x))) 1) (+.f64 5 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 15625 (pow.f64 (/.f64 z (-.f64 5 x)) 3))) 1/3) (pow.f64 (sqrt.f64 (*.f64 15625 (pow.f64 (/.f64 z (-.f64 5 x)) 3))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (*.f64 625 (pow.f64 (/.f64 z (-.f64 5 x)) 2)) (*.f64 z 25)) 1/3) (cbrt.f64 (/.f64 1 (-.f64 5 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (*.f64 25 (/.f64 z (-.f64 5 x))) (cbrt.f64 (*.f64 25 (/.f64 z (-.f64 5 x))))) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 25 (/.f64 z (-.f64 5 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 25 (/.f64 z (-.f64 5 x))) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (*.f64 25 (/.f64 z (-.f64 5 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 25 (/.f64 z (-.f64 5 x))))) 2) 3) (cbrt.f64 (*.f64 25 (/.f64 z (-.f64 5 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 25 (/.f64 z (-.f64 5 x))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 25 (/.f64 z (-.f64 5 x))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 1/25 (/.f64 (-.f64 5 x) z))) 2) -1) (cbrt.f64 (*.f64 25 (/.f64 z (-.f64 5 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 z) -1) (/.f64 1 (-.f64 1/5 (/.f64 x 25))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 5 x)) 2) z) -1) (pow.f64 (/.f64 (cbrt.f64 (-.f64 5 x)) 25) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 5 x)) z) -1) (pow.f64 (/.f64 (sqrt.f64 (-.f64 5 x)) 25) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 5 x)) 25) -1) (pow.f64 (/.f64 (sqrt.f64 (-.f64 5 x)) z) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 5 x)) 2) 25) -1) (pow.f64 (/.f64 (cbrt.f64 (-.f64 5 x)) z) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 5 x)) 2) 1) -1) (pow.f64 (/.f64 (cbrt.f64 (-.f64 5 x)) (*.f64 z 25)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 5 x)) 1) -1) (pow.f64 (/.f64 (sqrt.f64 (-.f64 5 x)) (*.f64 z 25)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 z 25)) -2) -1) (pow.f64 (/.f64 (-.f64 5 x) (cbrt.f64 (*.f64 z 25))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 5 x)) 2) (pow.f64 (cbrt.f64 (*.f64 z 25)) 2)) -1) (pow.f64 (/.f64 (cbrt.f64 (-.f64 5 x)) (cbrt.f64 (*.f64 z 25))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 5 x)) (pow.f64 (cbrt.f64 (*.f64 z 25)) 2)) -1) (pow.f64 (/.f64 (sqrt.f64 (-.f64 5 x)) (cbrt.f64 (*.f64 z 25))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 z 25) -1/2) -1) (pow.f64 (/.f64 (-.f64 5 x) (*.f64 5 (sqrt.f64 z))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 5 x)) 2) (*.f64 5 (sqrt.f64 z))) -1) (pow.f64 (/.f64 (cbrt.f64 (-.f64 5 x)) (*.f64 5 (sqrt.f64 z))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 5 x)) (*.f64 5 (sqrt.f64 z))) -1) (pow.f64 (/.f64 (sqrt.f64 (-.f64 5 x)) (*.f64 5 (sqrt.f64 z))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 25 (/.f64 z (-.f64 5 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 625 (pow.f64 (/.f64 z (-.f64 5 x)) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 15625 (pow.f64 (/.f64 z (-.f64 5 x)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 25 (/.f64 z (-.f64 5 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 25 (/.f64 z (-.f64 5 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/25 (/.f64 (-.f64 5 x) z)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 25 (/.f64 z (-.f64 5 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 z 25) 3) (pow.f64 (-.f64 5 x) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 1/25 (/.f64 (-.f64 5 x) z)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 25 (/.f64 z (-.f64 5 x))))) 2)) (cbrt.f64 (log.f64 (*.f64 25 (/.f64 z (-.f64 5 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 25 (/.f64 z (-.f64 5 x)))))) (sqrt.f64 (log.f64 (*.f64 25 (/.f64 z (-.f64 5 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 z 25) (neg.f64 (-.f64 5 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 625 (pow.f64 (/.f64 z (-.f64 5 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 25) (/.f64 z (-.f64 5 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 25 (/.f64 z (-.f64 5 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 15625 (pow.f64 (/.f64 z (-.f64 5 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 z 25) 3) (pow.f64 (-.f64 5 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 25 (/.f64 z (-.f64 5 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 25 (/.f64 z (-.f64 5 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 25 (/.f64 z (-.f64 5 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 25 (/.f64 z (-.f64 5 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 25 (/.f64 z (-.f64 5 x))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 25 (/.f64 z (-.f64 5 x))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 25 (/.f64 z (-.f64 5 x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/25 (/.f64 (-.f64 5 x) z))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 25 (/.f64 z (-.f64 5 x)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 z) 1) (log.f64 (-.f64 1/5 (/.f64 x 25)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 z 25)) 1) (log.f64 (-.f64 5 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (*.f64 z 25)) (*.f64 (log.f64 (-.f64 5 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 z 25)) 1) (*.f64 (log.f64 (-.f64 5 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 z 25)) 1) (neg.f64 (log.f64 (-.f64 5 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (neg.f64 (log.f64 (-.f64 5 x))) (*.f64 (log.f64 (*.f64 z 25)) 1)))))))

simplify60.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

674×	`distribute-lft-out_binary64`
669×	`associate-/l*_binary64`
651×	`fma-def_binary64`
533×	`associate-/l/_binary64`
505×	`associate-*l/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	45	354
1	119	353
2	302	326
3	844	308
4	3182	308
5	7489	308

Stop Event

1×	node limit

Counts

131 → 124

Calls

Call 1

Inputs
(*.f64 25 (/.f64 z (-.f64 5 x)))
(*.f64 25 (/.f64 z (-.f64 5 x)))
(*.f64 25 (/.f64 z (-.f64 5 x)))
(*.f64 25 (/.f64 z (-.f64 5 x)))
(*.f64 25 (/.f64 z (-.f64 5 x)))
(*.f64 25 (/.f64 z (-.f64 5 x)))
(*.f64 25 (/.f64 z (-.f64 5 x)))
(*.f64 25 (/.f64 z (-.f64 5 x)))
(*.f64 25 (/.f64 z (-.f64 5 x)))
(*.f64 25 (/.f64 z (-.f64 5 x)))
(*.f64 25 (/.f64 z (-.f64 5 x)))
(*.f64 25 (/.f64 z (-.f64 5 x)))
(*.f64 5 z)
(+.f64 (.f64 z x) (.f64 5 z))
(+.f64 (.f64 z x) (+.f64 (.f64 1/5 (.f64 z (pow.f64 x 2))) (.f64 5 z)))
(+.f64 (.f64 z x) (+.f64 (.f64 1/5 (.f64 z (pow.f64 x 2))) (+.f64 (.f64 1/25 (.f64 z (pow.f64 x 3))) (.f64 5 z))))
(*.f64 -25 (/.f64 z x))
(+.f64 (.f64 -125 (/.f64 z (pow.f64 x 2))) (.f64 -25 (/.f64 z x)))
(+.f64 (.f64 -125 (/.f64 z (pow.f64 x 2))) (+.f64 (.f64 -625 (/.f64 z (pow.f64 x 3))) (*.f64 -25 (/.f64 z x))))
(+.f64 (.f64 -125 (/.f64 z (pow.f64 x 2))) (+.f64 (.f64 -3125 (/.f64 z (pow.f64 x 4))) (+.f64 (.f64 -625 (/.f64 z (pow.f64 x 3))) (.f64 -25 (/.f64 z x)))))
(*.f64 -25 (/.f64 z x))
(+.f64 (.f64 -125 (/.f64 z (pow.f64 x 2))) (.f64 -25 (/.f64 z x)))
(+.f64 (.f64 -125 (/.f64 z (pow.f64 x 2))) (+.f64 (.f64 -625 (/.f64 z (pow.f64 x 3))) (*.f64 -25 (/.f64 z x))))
(+.f64 (.f64 -125 (/.f64 z (pow.f64 x 2))) (+.f64 (.f64 -3125 (/.f64 z (pow.f64 x 4))) (+.f64 (.f64 -625 (/.f64 z (pow.f64 x 3))) (.f64 -25 (/.f64 z x)))))

Outputs
(*.f64 25 (/.f64 z (-.f64 5 x)))
(/.f64 (*.f64 25 z) (-.f64 5 x))
(/.f64 25 (/.f64 (-.f64 5 x) z))
(*.f64 25 (/.f64 z (-.f64 5 x)))
(/.f64 (*.f64 25 z) (-.f64 5 x))
(/.f64 25 (/.f64 (-.f64 5 x) z))
(*.f64 25 (/.f64 z (-.f64 5 x)))
(/.f64 (*.f64 25 z) (-.f64 5 x))
(/.f64 25 (/.f64 (-.f64 5 x) z))
(*.f64 25 (/.f64 z (-.f64 5 x)))
(/.f64 (*.f64 25 z) (-.f64 5 x))
(/.f64 25 (/.f64 (-.f64 5 x) z))
(*.f64 25 (/.f64 z (-.f64 5 x)))
(/.f64 (*.f64 25 z) (-.f64 5 x))
(/.f64 25 (/.f64 (-.f64 5 x) z))
(*.f64 25 (/.f64 z (-.f64 5 x)))
(/.f64 (*.f64 25 z) (-.f64 5 x))
(/.f64 25 (/.f64 (-.f64 5 x) z))
(*.f64 25 (/.f64 z (-.f64 5 x)))
(/.f64 (*.f64 25 z) (-.f64 5 x))
(/.f64 25 (/.f64 (-.f64 5 x) z))
(*.f64 25 (/.f64 z (-.f64 5 x)))
(/.f64 (*.f64 25 z) (-.f64 5 x))
(/.f64 25 (/.f64 (-.f64 5 x) z))
(*.f64 25 (/.f64 z (-.f64 5 x)))
(/.f64 (*.f64 25 z) (-.f64 5 x))
(/.f64 25 (/.f64 (-.f64 5 x) z))
(*.f64 25 (/.f64 z (-.f64 5 x)))
(/.f64 (*.f64 25 z) (-.f64 5 x))
(/.f64 25 (/.f64 (-.f64 5 x) z))
(*.f64 25 (/.f64 z (-.f64 5 x)))
(/.f64 (*.f64 25 z) (-.f64 5 x))
(/.f64 25 (/.f64 (-.f64 5 x) z))
(*.f64 25 (/.f64 z (-.f64 5 x)))
(/.f64 (*.f64 25 z) (-.f64 5 x))
(/.f64 25 (/.f64 (-.f64 5 x) z))
(*.f64 5 z)
(*.f64 z 5)
(+.f64 (.f64 z x) (.f64 5 z))
(fma.f64 z x (*.f64 z 5))
(*.f64 z (+.f64 5 x))
(+.f64 (.f64 z x) (+.f64 (.f64 1/5 (.f64 z (pow.f64 x 2))) (.f64 5 z)))
(fma.f64 z x (fma.f64 1/5 (.f64 z (.f64 x x)) (*.f64 z 5)))
(fma.f64 z x (fma.f64 z 5 (.f64 (.f64 x x) (*.f64 z 1/5))))
(.f64 z (+.f64 (.f64 (*.f64 1/5 x) x) (+.f64 5 x)))
(.f64 z (+.f64 5 (fma.f64 x (.f64 x 1/5) x)))
(.f64 z (fma.f64 x (.f64 x 1/5) (+.f64 5 x)))
(+.f64 (.f64 z x) (+.f64 (.f64 1/5 (.f64 z (pow.f64 x 2))) (+.f64 (.f64 1/25 (.f64 z (pow.f64 x 3))) (.f64 5 z))))
(fma.f64 z x (fma.f64 1/5 (.f64 z (.f64 x x)) (fma.f64 1/25 (.f64 z (pow.f64 x 3)) (.f64 z 5))))
(fma.f64 z x (fma.f64 1/5 (.f64 z (.f64 x x)) (fma.f64 z 5 (.f64 z (.f64 (pow.f64 x 3) 1/25)))))
(fma.f64 z x (fma.f64 z (.f64 1/25 (pow.f64 x 3)) (.f64 z (+.f64 5 (.f64 (.f64 1/5 x) x)))))
(.f64 z (+.f64 (fma.f64 x (.f64 x 1/5) x) (fma.f64 1/25 (pow.f64 x 3) 5)))
(.f64 z (+.f64 (fma.f64 1/25 (pow.f64 x 3) 5) (fma.f64 x (.f64 x 1/5) x)))
(*.f64 -25 (/.f64 z x))
(/.f64 -25 (/.f64 x z))
(*.f64 z (/.f64 -25 x))
(+.f64 (.f64 -125 (/.f64 z (pow.f64 x 2))) (.f64 -25 (/.f64 z x)))
(fma.f64 -125 (/.f64 z (.f64 x x)) (.f64 -25 (/.f64 z x)))
(fma.f64 -25 (/.f64 z x) (/.f64 -125 (/.f64 (*.f64 x x) z)))
(*.f64 (/.f64 z x) (+.f64 -25 (/.f64 -125 x)))
(+.f64 (.f64 -125 (/.f64 z (pow.f64 x 2))) (+.f64 (.f64 -625 (/.f64 z (pow.f64 x 3))) (*.f64 -25 (/.f64 z x))))
(fma.f64 -125 (/.f64 z (.f64 x x)) (fma.f64 -625 (/.f64 z (pow.f64 x 3)) (.f64 -25 (/.f64 z x))))
(fma.f64 -125 (/.f64 z (.f64 x x)) (fma.f64 -25 (/.f64 z x) (.f64 -625 (/.f64 z (pow.f64 x 3)))))
(fma.f64 -25 (/.f64 z x) (.f64 (/.f64 z (.f64 x x)) (+.f64 (/.f64 -625 x) -125)))
(.f64 (/.f64 z x) (+.f64 (/.f64 -625 (.f64 x x)) (+.f64 -25 (/.f64 -125 x))))
(.f64 (/.f64 z x) (+.f64 -25 (+.f64 (/.f64 -125 x) (/.f64 -625 (.f64 x x)))))
(+.f64 (.f64 -125 (/.f64 z (pow.f64 x 2))) (+.f64 (.f64 -3125 (/.f64 z (pow.f64 x 4))) (+.f64 (.f64 -625 (/.f64 z (pow.f64 x 3))) (.f64 -25 (/.f64 z x)))))
(fma.f64 -125 (/.f64 z (.f64 x x)) (fma.f64 -3125 (/.f64 z (pow.f64 x 4)) (fma.f64 -625 (/.f64 z (pow.f64 x 3)) (.f64 -25 (/.f64 z x)))))
(fma.f64 -125 (/.f64 z (.f64 x x)) (fma.f64 -3125 (/.f64 z (pow.f64 x 4)) (fma.f64 -25 (/.f64 z x) (.f64 -625 (/.f64 z (pow.f64 x 3))))))
(fma.f64 -3125 (/.f64 z (pow.f64 x 4)) (fma.f64 -25 (/.f64 z x) (.f64 (/.f64 z (.f64 x x)) (+.f64 (/.f64 -625 x) -125))))
(fma.f64 (/.f64 z x) (+.f64 -25 (/.f64 -125 x)) (*.f64 (/.f64 z (pow.f64 x 3)) (+.f64 (/.f64 -3125 x) -625)))
(fma.f64 (/.f64 z x) (+.f64 -25 (/.f64 -125 x)) (*.f64 (/.f64 z (pow.f64 x 3)) (+.f64 -625 (/.f64 -3125 x))))
(*.f64 -25 (/.f64 z x))
(/.f64 -25 (/.f64 x z))
(*.f64 z (/.f64 -25 x))
(+.f64 (.f64 -125 (/.f64 z (pow.f64 x 2))) (.f64 -25 (/.f64 z x)))
(fma.f64 -125 (/.f64 z (.f64 x x)) (.f64 -25 (/.f64 z x)))
(fma.f64 -25 (/.f64 z x) (/.f64 -125 (/.f64 (*.f64 x x) z)))
(*.f64 (/.f64 z x) (+.f64 -25 (/.f64 -125 x)))
(+.f64 (.f64 -125 (/.f64 z (pow.f64 x 2))) (+.f64 (.f64 -625 (/.f64 z (pow.f64 x 3))) (*.f64 -25 (/.f64 z x))))
(fma.f64 -125 (/.f64 z (.f64 x x)) (fma.f64 -625 (/.f64 z (pow.f64 x 3)) (.f64 -25 (/.f64 z x))))
(fma.f64 -125 (/.f64 z (.f64 x x)) (fma.f64 -25 (/.f64 z x) (.f64 -625 (/.f64 z (pow.f64 x 3)))))
(fma.f64 -25 (/.f64 z x) (.f64 (/.f64 z (.f64 x x)) (+.f64 (/.f64 -625 x) -125)))
(.f64 (/.f64 z x) (+.f64 (/.f64 -625 (.f64 x x)) (+.f64 -25 (/.f64 -125 x))))
(.f64 (/.f64 z x) (+.f64 -25 (+.f64 (/.f64 -125 x) (/.f64 -625 (.f64 x x)))))
(+.f64 (.f64 -125 (/.f64 z (pow.f64 x 2))) (+.f64 (.f64 -3125 (/.f64 z (pow.f64 x 4))) (+.f64 (.f64 -625 (/.f64 z (pow.f64 x 3))) (.f64 -25 (/.f64 z x)))))
(fma.f64 -125 (/.f64 z (.f64 x x)) (fma.f64 -3125 (/.f64 z (pow.f64 x 4)) (fma.f64 -625 (/.f64 z (pow.f64 x 3)) (.f64 -25 (/.f64 z x)))))
(fma.f64 -125 (/.f64 z (.f64 x x)) (fma.f64 -3125 (/.f64 z (pow.f64 x 4)) (fma.f64 -25 (/.f64 z x) (.f64 -625 (/.f64 z (pow.f64 x 3))))))
(fma.f64 -3125 (/.f64 z (pow.f64 x 4)) (fma.f64 -25 (/.f64 z x) (.f64 (/.f64 z (.f64 x x)) (+.f64 (/.f64 -625 x) -125))))
(fma.f64 (/.f64 z x) (+.f64 -25 (/.f64 -125 x)) (*.f64 (/.f64 z (pow.f64 x 3)) (+.f64 (/.f64 -3125 x) -625)))
(fma.f64 (/.f64 z x) (+.f64 -25 (/.f64 -125 x)) (*.f64 (/.f64 z (pow.f64 x 3)) (+.f64 -625 (/.f64 -3125 x))))

localize16.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 z (-.f64 5 x))
✓	8.7b	(.f64 (/.f64 (-.f64 25 (.f64 x x)) 1) (/.f64 z (-.f64 5 x)))

Compiler

Compiled 44 to 26 computations (40.9% saved)

series4.0ms (0.1%)

Counts

2 → 36

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	z	@	-inf	(/.f64 z (-.f64 5 x))
1.0ms	z	@	inf	(/.f64 z (-.f64 5 x))
0.0ms	x	@	inf	(/.f64 z (-.f64 5 x))
0.0ms	x	@	0	(/.f64 z (-.f64 5 x))
0.0ms	x	@	0	(.f64 (/.f64 (-.f64 25 (.f64 x x)) 1) (/.f64 z (-.f64 5 x)))

rewrite80.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

563×	`log-prod_binary64`
384×	`pow-prod-down_binary64`
311×	`pow2_binary64`
234×	`log-div_binary64`
215×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	23
1	278	23
2	3525	23

Stop Event

1×	node limit

Counts

2 → 112

Calls

Call 1

Inputs
(.f64 (/.f64 (-.f64 25 (.f64 x x)) 1) (/.f64 z (-.f64 5 x)))
(/.f64 z (-.f64 5 x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 25 (*.f64 x x)) (/.f64 z (-.f64 5 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 25 (/.f64 z (-.f64 5 x))) (*.f64 (*.f64 x (neg.f64 x)) (/.f64 z (-.f64 5 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 z (-.f64 5 x)) 25) (*.f64 (/.f64 z (-.f64 5 x)) (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 z (-.f64 5 x))) (-.f64 25 (*.f64 x x)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 z (-.f64 5 x))) (-.f64 25 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 z (-.f64 5 x))) (-.f64 25 (*.f64 x x))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 z (-.f64 5 x))) (-.f64 25 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 25 (*.f64 x x)) (/.f64 z (-.f64 5 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 25 (*.f64 x x)) (/.f64 (-.f64 5 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 25 (*.f64 x x)) (*.f64 (/.f64 (-.f64 5 x) z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 1 (-.f64 25 (*.f64 x x))) (/.f64 (-.f64 5 x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 (-.f64 5 x) z) (/.f64 1 (-.f64 25 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (*.f64 (-.f64 25 (*.f64 x x)) (/.f64 z (-.f64 5 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 5 x) (*.f64 (-.f64 25 (*.f64 x x)) z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 z (*.f64 (/.f64 1 (-.f64 25 (*.f64 x x))) (-.f64 5 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 z (*.f64 (-.f64 5 x) (/.f64 1 (-.f64 25 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 z (-.f64 5 x)) (/.f64 1 (-.f64 25 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 25 (*.f64 x x)) (/.f64 z (-.f64 5 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 25 (*.f64 x x)) (/.f64 z (-.f64 5 x)))) 2) (/.f64 1 (cbrt.f64 (*.f64 (-.f64 25 (*.f64 x x)) (/.f64 z (-.f64 5 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 (-.f64 25 (*.f64 x x)) (/.f64 z (-.f64 5 x)))) (pow.f64 (*.f64 (-.f64 25 (*.f64 x x)) (/.f64 z (-.f64 5 x))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 z) (*.f64 (/.f64 1 (-.f64 25 (*.f64 x x))) (neg.f64 (-.f64 5 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 25 (*.f64 x x))) (*.f64 -1 (/.f64 (-.f64 5 x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 25 (*.f64 x x))) (*.f64 (/.f64 (-.f64 5 x) z) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 25 (*.f64 x x)) z) (-.f64 5 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 15625 (pow.f64 x 6)) (*.f64 (/.f64 (-.f64 5 x) z) (fma.f64 (*.f64 x x) (fma.f64 x x 25) 625)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 625 (pow.f64 x 4)) (*.f64 (/.f64 (-.f64 5 x) z) (fma.f64 x x 25)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (-.f64 25 (*.f64 x x)) (/.f64 z (-.f64 5 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (-.f64 25 (*.f64 x x)) z)) (neg.f64 (-.f64 5 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 15625 (pow.f64 x 6)) 1) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x x 25) 625) (/.f64 (-.f64 5 x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 625 (pow.f64 x 4)) 1) (*.f64 (fma.f64 x x 25) (/.f64 (-.f64 5 x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (-.f64 25 (*.f64 x x))) z) (neg.f64 (-.f64 5 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 15625 (pow.f64 x 6)) z) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x x 25) 625) (-.f64 5 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 625 (pow.f64 x 4)) z) (*.f64 (fma.f64 x x 25) (-.f64 5 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 25 (*.f64 x x)) (neg.f64 z)) (neg.f64 (-.f64 5 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (-.f64 25 (*.f64 x x))) (neg.f64 z)) (*.f64 -1 (neg.f64 (-.f64 5 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 15625 (pow.f64 x 6)) (neg.f64 z)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x x 25) 625) (neg.f64 (-.f64 5 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 625 (pow.f64 x 4)) (neg.f64 z)) (*.f64 (fma.f64 x x 25) (neg.f64 (-.f64 5 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 z) (-.f64 25 (*.f64 x x))) (neg.f64 (-.f64 5 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 z) (-.f64 25 (*.f64 x x))) (*.f64 (neg.f64 (-.f64 5 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 z) 1) (*.f64 (neg.f64 (-.f64 5 x)) (/.f64 1 (-.f64 25 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (neg.f64 (-.f64 25 (*.f64 x x)))) (*.f64 (-.f64 5 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 z) (neg.f64 (-.f64 25 (*.f64 x x)))) (*.f64 (neg.f64 (-.f64 5 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (-.f64 15625 (pow.f64 x 6))) (*.f64 (-.f64 5 x) (fma.f64 (*.f64 x x) (fma.f64 x x 25) 625)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 z) (-.f64 15625 (pow.f64 x 6))) (*.f64 (neg.f64 (-.f64 5 x)) (fma.f64 (*.f64 x x) (fma.f64 x x 25) 625)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (-.f64 625 (pow.f64 x 4))) (*.f64 (-.f64 5 x) (fma.f64 x x 25)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 z) (-.f64 625 (pow.f64 x 4))) (*.f64 (neg.f64 (-.f64 5 x)) (fma.f64 x x 25)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 25 (*.f64 x x)) z) (pow.f64 (cbrt.f64 (-.f64 5 x)) 2)) (cbrt.f64 (-.f64 5 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 25 (*.f64 x x)) z) (sqrt.f64 (-.f64 5 x))) (sqrt.f64 (-.f64 5 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (-.f64 25 (*.f64 x x))) (/.f64 z (-.f64 5 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 15625 (pow.f64 x 6)) (/.f64 z (-.f64 5 x))) (fma.f64 (*.f64 x x) (fma.f64 x x 25) 625))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 625 (pow.f64 x 4)) (/.f64 z (-.f64 5 x))) (fma.f64 x x 25))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 z (-.f64 5 x)) (neg.f64 (-.f64 25 (*.f64 x x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 z (-.f64 5 x)) (-.f64 15625 (pow.f64 x 6))) (fma.f64 (*.f64 x x) (fma.f64 x x 25) 625))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 z (-.f64 5 x)) (-.f64 625 (pow.f64 x 4))) (fma.f64 x x 25))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 25 (*.f64 x x)) (/.f64 z (-.f64 5 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 25 (*.f64 x x)) (/.f64 z (-.f64 5 x))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 25 (*.f64 x x)) (/.f64 z (-.f64 5 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 25 (*.f64 x x)) (/.f64 z (-.f64 5 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 25 (*.f64 x x)) (/.f64 z (-.f64 5 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 1 (-.f64 25 (*.f64 x x))) (/.f64 (-.f64 5 x) z)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (-.f64 5 x) z) (/.f64 1 (-.f64 25 (*.f64 x x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (*.f64 (-.f64 25 (*.f64 x x)) (/.f64 z (-.f64 5 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 5 x) (*.f64 (-.f64 25 (*.f64 x x)) z)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 25 (*.f64 x x)) (/.f64 z (-.f64 5 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 z (-.f64 5 x))) (-.f64 25 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 25 (*.f64 x x)) (/.f64 z (-.f64 5 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 25 (*.f64 x x)) (/.f64 z (-.f64 5 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 25 (*.f64 x x)) (/.f64 z (-.f64 5 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 25 (*.f64 x x)) (/.f64 z (-.f64 5 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 25 (*.f64 x x)) (/.f64 z (-.f64 5 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 25 (*.f64 x x)) (/.f64 z (-.f64 5 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 25 (/.f64 z (-.f64 5 x)) (*.f64 (*.f64 x (neg.f64 x)) (/.f64 z (-.f64 5 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 z (-.f64 5 x)) 25 (*.f64 (/.f64 z (-.f64 5 x)) (*.f64 x (neg.f64 x))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 z (-.f64 5 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 z (-.f64 5 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 z (-.f64 5 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 z (-.f64 5 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 z (-.f64 5 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 z (-.f64 5 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 z (-.f64 5 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (/.f64 1 (-.f64 5 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z (-.f64 5 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 z (-.f64 5 x))) (pow.f64 (cbrt.f64 (/.f64 z (-.f64 5 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 z (-.f64 5 x))) 2) (cbrt.f64 (/.f64 z (-.f64 5 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (/.f64 1 (-.f64 5 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 z (-.f64 5 x))) (sqrt.f64 (/.f64 z (-.f64 5 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (/.f64 1 (-.f64 5 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 z) (/.f64 1 (neg.f64 (-.f64 5 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 5 x)) z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) 1) (/.f64 (cbrt.f64 z) (-.f64 5 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 z) 1) (/.f64 (sqrt.f64 z) (-.f64 5 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 5 x)) -2) (/.f64 z (cbrt.f64 (-.f64 5 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) (pow.f64 (cbrt.f64 (-.f64 5 x)) 2)) (cbrt.f64 (/.f64 z (-.f64 5 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 (-.f64 5 x)) 2)) (/.f64 (sqrt.f64 z) (cbrt.f64 (-.f64 5 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 5 x) -1/2) (/.f64 z (sqrt.f64 (-.f64 5 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) (sqrt.f64 (-.f64 5 x))) (/.f64 (cbrt.f64 z) (sqrt.f64 (-.f64 5 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z (-.f64 25 (*.f64 x x))) (+.f64 x 5))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z (-.f64 125 (pow.f64 x 3))) (fma.f64 x (+.f64 x 5) 25))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 z (-.f64 5 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 z (-.f64 5 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 z (-.f64 5 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 z (-.f64 5 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 z (-.f64 5 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 5 x) z) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 z 3) (pow.f64 (-.f64 5 x) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (-.f64 5 x) z) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 z (neg.f64 (-.f64 5 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 z (-.f64 5 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 z (-.f64 5 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 z (-.f64 5 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 z (-.f64 5 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 z 3) (pow.f64 (-.f64 5 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 z (-.f64 5 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 z (-.f64 5 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 z (-.f64 5 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 z (-.f64 5 x))) 1))))))

simplify60.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

739×	`fma-def_binary64`
734×	`associate-/l*_binary64`
542×	`associate-/l/_binary64`
511×	`distribute-lft-out_binary64`
332×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	51	517
1	131	502
2	339	479
3	1031	458
4	3966	457

Stop Event

1×	node limit

Counts

148 → 134

Calls

Call 1

Inputs
(*.f64 5 z)
(+.f64 (.f64 z x) (.f64 5 z))
(+.f64 (.f64 z x) (.f64 5 z))
(+.f64 (.f64 z x) (.f64 5 z))
(*.f64 z x)
(+.f64 (.f64 z x) (.f64 5 z))
(+.f64 (.f64 z x) (.f64 5 z))
(+.f64 (.f64 z x) (.f64 5 z))
(*.f64 z x)
(+.f64 (.f64 z x) (.f64 5 z))
(+.f64 (.f64 z x) (.f64 5 z))
(+.f64 (.f64 z x) (.f64 5 z))
(/.f64 (*.f64 z (-.f64 25 (pow.f64 x 2))) (-.f64 5 x))
(/.f64 (*.f64 z (-.f64 25 (pow.f64 x 2))) (-.f64 5 x))
(/.f64 (*.f64 z (-.f64 25 (pow.f64 x 2))) (-.f64 5 x))
(/.f64 (*.f64 z (-.f64 25 (pow.f64 x 2))) (-.f64 5 x))
(/.f64 (*.f64 z (-.f64 25 (pow.f64 x 2))) (-.f64 5 x))
(/.f64 (*.f64 z (-.f64 25 (pow.f64 x 2))) (-.f64 5 x))
(/.f64 (*.f64 z (-.f64 25 (pow.f64 x 2))) (-.f64 5 x))
(/.f64 (*.f64 z (-.f64 25 (pow.f64 x 2))) (-.f64 5 x))
(/.f64 (*.f64 z (-.f64 25 (pow.f64 x 2))) (-.f64 5 x))
(/.f64 (*.f64 z (-.f64 25 (pow.f64 x 2))) (-.f64 5 x))
(/.f64 (*.f64 z (-.f64 25 (pow.f64 x 2))) (-.f64 5 x))
(/.f64 (*.f64 z (-.f64 25 (pow.f64 x 2))) (-.f64 5 x))
(*.f64 1/5 z)
(+.f64 (.f64 1/5 z) (.f64 1/25 (*.f64 z x)))
(+.f64 (.f64 1/5 z) (+.f64 (.f64 1/125 (.f64 z (pow.f64 x 2))) (.f64 1/25 (*.f64 z x))))
(+.f64 (.f64 1/5 z) (+.f64 (.f64 1/125 (.f64 z (pow.f64 x 2))) (+.f64 (.f64 1/25 (.f64 z x)) (.f64 1/625 (*.f64 z (pow.f64 x 3))))))
(*.f64 -1 (/.f64 z x))
(+.f64 (.f64 -1 (/.f64 z x)) (.f64 -5 (/.f64 z (pow.f64 x 2))))
(+.f64 (.f64 -25 (/.f64 z (pow.f64 x 3))) (+.f64 (.f64 -1 (/.f64 z x)) (*.f64 -5 (/.f64 z (pow.f64 x 2)))))
(+.f64 (.f64 -25 (/.f64 z (pow.f64 x 3))) (+.f64 (.f64 -1 (/.f64 z x)) (+.f64 (.f64 -5 (/.f64 z (pow.f64 x 2))) (.f64 -125 (/.f64 z (pow.f64 x 4))))))
(*.f64 -1 (/.f64 z x))
(+.f64 (.f64 -1 (/.f64 z x)) (.f64 -5 (/.f64 z (pow.f64 x 2))))
(+.f64 (.f64 -25 (/.f64 z (pow.f64 x 3))) (+.f64 (.f64 -1 (/.f64 z x)) (*.f64 -5 (/.f64 z (pow.f64 x 2)))))
(+.f64 (.f64 -25 (/.f64 z (pow.f64 x 3))) (+.f64 (.f64 -1 (/.f64 z x)) (+.f64 (.f64 -5 (/.f64 z (pow.f64 x 2))) (.f64 -125 (/.f64 z (pow.f64 x 4))))))

Outputs
(*.f64 5 z)
(+.f64 (.f64 z x) (.f64 5 z))
(fma.f64 z x (*.f64 5 z))
(*.f64 z (+.f64 5 x))
(+.f64 (.f64 z x) (.f64 5 z))
(fma.f64 z x (*.f64 5 z))
(*.f64 z (+.f64 5 x))
(+.f64 (.f64 z x) (.f64 5 z))
(fma.f64 z x (*.f64 5 z))
(*.f64 z (+.f64 5 x))
(*.f64 z x)
(+.f64 (.f64 z x) (.f64 5 z))
(fma.f64 z x (*.f64 5 z))
(*.f64 z (+.f64 5 x))
(+.f64 (.f64 z x) (.f64 5 z))
(fma.f64 z x (*.f64 5 z))
(*.f64 z (+.f64 5 x))
(+.f64 (.f64 z x) (.f64 5 z))
(fma.f64 z x (*.f64 5 z))
(*.f64 z (+.f64 5 x))
(*.f64 z x)
(+.f64 (.f64 z x) (.f64 5 z))
(fma.f64 z x (*.f64 5 z))
(*.f64 z (+.f64 5 x))
(+.f64 (.f64 z x) (.f64 5 z))
(fma.f64 z x (*.f64 5 z))
(*.f64 z (+.f64 5 x))
(+.f64 (.f64 z x) (.f64 5 z))
(fma.f64 z x (*.f64 5 z))
(*.f64 z (+.f64 5 x))
(/.f64 (*.f64 z (-.f64 25 (pow.f64 x 2))) (-.f64 5 x))
(/.f64 (.f64 z (-.f64 25 (.f64 x x))) (-.f64 5 x))
(.f64 (/.f64 z (-.f64 5 x)) (-.f64 25 (.f64 x x)))
(.f64 (-.f64 25 (.f64 x x)) (/.f64 z (-.f64 5 x)))
(.f64 z (/.f64 (-.f64 25 (.f64 x x)) (-.f64 5 x)))
(/.f64 (*.f64 z (-.f64 25 (pow.f64 x 2))) (-.f64 5 x))
(/.f64 (.f64 z (-.f64 25 (.f64 x x))) (-.f64 5 x))
(.f64 (/.f64 z (-.f64 5 x)) (-.f64 25 (.f64 x x)))
(.f64 (-.f64 25 (.f64 x x)) (/.f64 z (-.f64 5 x)))
(.f64 z (/.f64 (-.f64 25 (.f64 x x)) (-.f64 5 x)))
(/.f64 (*.f64 z (-.f64 25 (pow.f64 x 2))) (-.f64 5 x))
(/.f64 (.f64 z (-.f64 25 (.f64 x x))) (-.f64 5 x))
(.f64 (/.f64 z (-.f64 5 x)) (-.f64 25 (.f64 x x)))
(.f64 (-.f64 25 (.f64 x x)) (/.f64 z (-.f64 5 x)))
(.f64 z (/.f64 (-.f64 25 (.f64 x x)) (-.f64 5 x)))
(/.f64 (*.f64 z (-.f64 25 (pow.f64 x 2))) (-.f64 5 x))
(/.f64 (.f64 z (-.f64 25 (.f64 x x))) (-.f64 5 x))
(.f64 (/.f64 z (-.f64 5 x)) (-.f64 25 (.f64 x x)))
(.f64 (-.f64 25 (.f64 x x)) (/.f64 z (-.f64 5 x)))
(.f64 z (/.f64 (-.f64 25 (.f64 x x)) (-.f64 5 x)))
(/.f64 (*.f64 z (-.f64 25 (pow.f64 x 2))) (-.f64 5 x))
(/.f64 (.f64 z (-.f64 25 (.f64 x x))) (-.f64 5 x))
(.f64 (/.f64 z (-.f64 5 x)) (-.f64 25 (.f64 x x)))
(.f64 (-.f64 25 (.f64 x x)) (/.f64 z (-.f64 5 x)))
(.f64 z (/.f64 (-.f64 25 (.f64 x x)) (-.f64 5 x)))
(/.f64 (*.f64 z (-.f64 25 (pow.f64 x 2))) (-.f64 5 x))
(/.f64 (.f64 z (-.f64 25 (.f64 x x))) (-.f64 5 x))
(.f64 (/.f64 z (-.f64 5 x)) (-.f64 25 (.f64 x x)))
(.f64 (-.f64 25 (.f64 x x)) (/.f64 z (-.f64 5 x)))
(.f64 z (/.f64 (-.f64 25 (.f64 x x)) (-.f64 5 x)))
(/.f64 (*.f64 z (-.f64 25 (pow.f64 x 2))) (-.f64 5 x))
(/.f64 (.f64 z (-.f64 25 (.f64 x x))) (-.f64 5 x))
(.f64 (/.f64 z (-.f64 5 x)) (-.f64 25 (.f64 x x)))
(.f64 (-.f64 25 (.f64 x x)) (/.f64 z (-.f64 5 x)))
(.f64 z (/.f64 (-.f64 25 (.f64 x x)) (-.f64 5 x)))
(/.f64 (*.f64 z (-.f64 25 (pow.f64 x 2))) (-.f64 5 x))
(/.f64 (.f64 z (-.f64 25 (.f64 x x))) (-.f64 5 x))
(.f64 (/.f64 z (-.f64 5 x)) (-.f64 25 (.f64 x x)))
(.f64 (-.f64 25 (.f64 x x)) (/.f64 z (-.f64 5 x)))
(.f64 z (/.f64 (-.f64 25 (.f64 x x)) (-.f64 5 x)))
(/.f64 (*.f64 z (-.f64 25 (pow.f64 x 2))) (-.f64 5 x))
(/.f64 (.f64 z (-.f64 25 (.f64 x x))) (-.f64 5 x))
(.f64 (/.f64 z (-.f64 5 x)) (-.f64 25 (.f64 x x)))
(.f64 (-.f64 25 (.f64 x x)) (/.f64 z (-.f64 5 x)))
(.f64 z (/.f64 (-.f64 25 (.f64 x x)) (-.f64 5 x)))
(/.f64 (*.f64 z (-.f64 25 (pow.f64 x 2))) (-.f64 5 x))
(/.f64 (.f64 z (-.f64 25 (.f64 x x))) (-.f64 5 x))
(.f64 (/.f64 z (-.f64 5 x)) (-.f64 25 (.f64 x x)))
(.f64 (-.f64 25 (.f64 x x)) (/.f64 z (-.f64 5 x)))
(.f64 z (/.f64 (-.f64 25 (.f64 x x)) (-.f64 5 x)))
(/.f64 (*.f64 z (-.f64 25 (pow.f64 x 2))) (-.f64 5 x))
(/.f64 (.f64 z (-.f64 25 (.f64 x x))) (-.f64 5 x))
(.f64 (/.f64 z (-.f64 5 x)) (-.f64 25 (.f64 x x)))
(.f64 (-.f64 25 (.f64 x x)) (/.f64 z (-.f64 5 x)))
(.f64 z (/.f64 (-.f64 25 (.f64 x x)) (-.f64 5 x)))
(/.f64 (*.f64 z (-.f64 25 (pow.f64 x 2))) (-.f64 5 x))
(/.f64 (.f64 z (-.f64 25 (.f64 x x))) (-.f64 5 x))
(.f64 (/.f64 z (-.f64 5 x)) (-.f64 25 (.f64 x x)))
(.f64 (-.f64 25 (.f64 x x)) (/.f64 z (-.f64 5 x)))
(.f64 z (/.f64 (-.f64 25 (.f64 x x)) (-.f64 5 x)))
(*.f64 1/5 z)
(*.f64 z 1/5)
(+.f64 (.f64 1/5 z) (.f64 1/25 (*.f64 z x)))
(fma.f64 1/5 z (.f64 (.f64 z x) 1/25))
(fma.f64 z 1/5 (.f64 x (.f64 z 1/25)))
(.f64 z (+.f64 1/5 (.f64 x 1/25)))
(*.f64 z (fma.f64 x 1/25 1/5))
(+.f64 (.f64 1/5 z) (+.f64 (.f64 1/125 (.f64 z (pow.f64 x 2))) (.f64 1/25 (*.f64 z x))))
(fma.f64 1/5 z (fma.f64 1/125 (.f64 z (.f64 x x)) (.f64 (.f64 z x) 1/25)))
(fma.f64 z 1/5 (fma.f64 1/125 (.f64 z (.f64 x x)) (.f64 x (.f64 z 1/25))))
(fma.f64 z 1/5 (.f64 x (+.f64 (.f64 z 1/25) (.f64 z (.f64 1/125 x)))))
(.f64 z (+.f64 1/5 (.f64 x (+.f64 1/25 (*.f64 x 1/125)))))
(+.f64 (.f64 1/5 z) (+.f64 (.f64 1/125 (.f64 z (pow.f64 x 2))) (+.f64 (.f64 1/25 (.f64 z x)) (.f64 1/625 (*.f64 z (pow.f64 x 3))))))
(fma.f64 1/5 z (fma.f64 1/125 (.f64 z (.f64 x x)) (fma.f64 1/25 (.f64 z x) (.f64 1/625 (*.f64 z (pow.f64 x 3))))))
(fma.f64 z 1/5 (fma.f64 1/125 (.f64 z (.f64 x x)) (fma.f64 1/625 (.f64 z (pow.f64 x 3)) (.f64 x (*.f64 z 1/25)))))
(fma.f64 z 1/5 (fma.f64 1/625 (.f64 z (pow.f64 x 3)) (.f64 x (+.f64 (.f64 z 1/25) (.f64 z (*.f64 1/125 x))))))
(.f64 z (+.f64 (fma.f64 1/625 (pow.f64 x 3) 1/5) (.f64 x (+.f64 1/25 (*.f64 x 1/125)))))
(.f64 z (+.f64 1/5 (.f64 x (+.f64 1/25 (.f64 x (+.f64 1/125 (.f64 x 1/625)))))))
(*.f64 -1 (/.f64 z x))
(neg.f64 (/.f64 z x))
(/.f64 (neg.f64 z) x)
(+.f64 (.f64 -1 (/.f64 z x)) (.f64 -5 (/.f64 z (pow.f64 x 2))))
(fma.f64 -1 (/.f64 z x) (.f64 -5 (/.f64 z (.f64 x x))))
(-.f64 (*.f64 (/.f64 -5 x) (/.f64 z x)) (/.f64 z x))
(*.f64 (/.f64 z x) (+.f64 (/.f64 -5 x) -1))
(*.f64 (/.f64 z x) (+.f64 -1 (/.f64 -5 x)))
(+.f64 (.f64 -25 (/.f64 z (pow.f64 x 3))) (+.f64 (.f64 -1 (/.f64 z x)) (*.f64 -5 (/.f64 z (pow.f64 x 2)))))
(fma.f64 -25 (/.f64 z (pow.f64 x 3)) (fma.f64 -1 (/.f64 z x) (.f64 -5 (/.f64 z (.f64 x x)))))
(fma.f64 -25 (/.f64 z (pow.f64 x 3)) (-.f64 (*.f64 (/.f64 -5 x) (/.f64 z x)) (/.f64 z x)))
(-.f64 (.f64 (/.f64 z (.f64 x x)) (+.f64 (/.f64 -25 x) -5)) (/.f64 z x))
(.f64 (/.f64 z x) (+.f64 (+.f64 -1 (/.f64 -5 x)) (/.f64 -25 (.f64 x x))))
(-.f64 (.f64 (/.f64 z (.f64 x x)) (+.f64 -5 (/.f64 -25 x))) (/.f64 z x))
(+.f64 (.f64 -25 (/.f64 z (pow.f64 x 3))) (+.f64 (.f64 -1 (/.f64 z x)) (+.f64 (.f64 -5 (/.f64 z (pow.f64 x 2))) (.f64 -125 (/.f64 z (pow.f64 x 4))))))
(fma.f64 -25 (/.f64 z (pow.f64 x 3)) (fma.f64 -1 (/.f64 z x) (fma.f64 -5 (/.f64 z (.f64 x x)) (.f64 -125 (/.f64 z (pow.f64 x 4))))))
(fma.f64 -25 (/.f64 z (pow.f64 x 3)) (-.f64 (fma.f64 -125 (/.f64 z (pow.f64 x 4)) (*.f64 (/.f64 -5 x) (/.f64 z x))) (/.f64 z x)))
(fma.f64 -25 (/.f64 z (pow.f64 x 3)) (fma.f64 -125 (/.f64 z (pow.f64 x 4)) (*.f64 (/.f64 z x) (+.f64 (/.f64 -5 x) -1))))
(fma.f64 (/.f64 z x) (+.f64 -1 (/.f64 -5 x)) (*.f64 (/.f64 z (pow.f64 x 3)) (+.f64 -25 (/.f64 -125 x))))
(*.f64 -1 (/.f64 z x))
(neg.f64 (/.f64 z x))
(/.f64 (neg.f64 z) x)
(+.f64 (.f64 -1 (/.f64 z x)) (.f64 -5 (/.f64 z (pow.f64 x 2))))
(fma.f64 -1 (/.f64 z x) (.f64 -5 (/.f64 z (.f64 x x))))
(-.f64 (*.f64 (/.f64 -5 x) (/.f64 z x)) (/.f64 z x))
(*.f64 (/.f64 z x) (+.f64 (/.f64 -5 x) -1))
(*.f64 (/.f64 z x) (+.f64 -1 (/.f64 -5 x)))
(+.f64 (.f64 -25 (/.f64 z (pow.f64 x 3))) (+.f64 (.f64 -1 (/.f64 z x)) (*.f64 -5 (/.f64 z (pow.f64 x 2)))))
(fma.f64 -25 (/.f64 z (pow.f64 x 3)) (fma.f64 -1 (/.f64 z x) (.f64 -5 (/.f64 z (.f64 x x)))))
(fma.f64 -25 (/.f64 z (pow.f64 x 3)) (-.f64 (*.f64 (/.f64 -5 x) (/.f64 z x)) (/.f64 z x)))
(-.f64 (.f64 (/.f64 z (.f64 x x)) (+.f64 (/.f64 -25 x) -5)) (/.f64 z x))
(.f64 (/.f64 z x) (+.f64 (+.f64 -1 (/.f64 -5 x)) (/.f64 -25 (.f64 x x))))
(-.f64 (.f64 (/.f64 z (.f64 x x)) (+.f64 -5 (/.f64 -25 x))) (/.f64 z x))
(+.f64 (.f64 -25 (/.f64 z (pow.f64 x 3))) (+.f64 (.f64 -1 (/.f64 z x)) (+.f64 (.f64 -5 (/.f64 z (pow.f64 x 2))) (.f64 -125 (/.f64 z (pow.f64 x 4))))))
(fma.f64 -25 (/.f64 z (pow.f64 x 3)) (fma.f64 -1 (/.f64 z x) (fma.f64 -5 (/.f64 z (.f64 x x)) (.f64 -125 (/.f64 z (pow.f64 x 4))))))
(fma.f64 -25 (/.f64 z (pow.f64 x 3)) (-.f64 (fma.f64 -125 (/.f64 z (pow.f64 x 4)) (*.f64 (/.f64 -5 x) (/.f64 z x))) (/.f64 z x)))
(fma.f64 -25 (/.f64 z (pow.f64 x 3)) (fma.f64 -125 (/.f64 z (pow.f64 x 4)) (*.f64 (/.f64 z x) (+.f64 (/.f64 -5 x) -1))))
(fma.f64 (/.f64 z x) (+.f64 -1 (/.f64 -5 x)) (*.f64 (/.f64 z (pow.f64 x 3)) (+.f64 -25 (/.f64 -125 x))))

localize20.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 5 x) z)
✓	0.0b	(-.f64 (/.f64 25 (/.f64 (-.f64 5 x) z)) (/.f64 (*.f64 x x) (/.f64 (-.f64 5 x) z)))
✓	0.4b	(/.f64 25 (/.f64 (-.f64 5 x) z))
✓	13.4b	(/.f64 (*.f64 x x) (/.f64 (-.f64 5 x) z))

Compiler

Compiled 51 to 30 computations (41.2% saved)

series11.0ms (0.2%)

Counts

4 → 84

Calls

24 calls:

Time	Variable		Point	Expression
1.0ms	z	@	0	(/.f64 25 (/.f64 (-.f64 5 x) z))
1.0ms	z	@	0	(/.f64 (*.f64 x x) (/.f64 (-.f64 5 x) z))
1.0ms	x	@	0	(-.f64 (/.f64 25 (/.f64 (-.f64 5 x) z)) (/.f64 (*.f64 x x) (/.f64 (-.f64 5 x) z)))
1.0ms	x	@	0	(/.f64 (*.f64 x x) (/.f64 (-.f64 5 x) z))
1.0ms	z	@	-inf	(/.f64 (*.f64 x x) (/.f64 (-.f64 5 x) z))

rewrite125.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

739×	`log-prod_binary64`
504×	`fma-def_binary64`
364×	`log-div_binary64`
276×	`fma-neg_binary64`
245×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	46
1	272	37
2	4416	37

Stop Event

1×	node limit

Counts

4 → 314

Calls

Call 1

Inputs
(/.f64 (*.f64 x x) (/.f64 (-.f64 5 x) z))
(/.f64 25 (/.f64 (-.f64 5 x) z))
(-.f64 (/.f64 25 (/.f64 (-.f64 5 x) z)) (/.f64 (*.f64 x x) (/.f64 (-.f64 5 x) z)))
(/.f64 (-.f64 5 x) z)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 x (.f64 x (/.f64 z (-.f64 5 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 (.f64 x x)) (/.f64 z (-.f64 5 x)))) (cbrt.f64 (pow.f64 (exp.f64 (.f64 x x)) (/.f64 z (-.f64 5 x)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (.f64 x x)) (/.f64 z (-.f64 5 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (.f64 x x)) (/.f64 z (-.f64 5 x))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (.f64 x x)) (/.f64 z (-.f64 5 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x (/.f64 z (-.f64 5 x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (/.f64 1 (/.f64 (-.f64 5 x) (.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (.f64 x (/.f64 z (-.f64 5 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x x) (/.f64 z (-.f64 5 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 z (/.f64 x (/.f64 (-.f64 5 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x (.f64 x (/.f64 z (-.f64 5 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 x (.f64 x (/.f64 z (-.f64 5 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 x (.f64 x (/.f64 z (-.f64 5 x))))) (pow.f64 (cbrt.f64 (.f64 x (.f64 x (/.f64 z (-.f64 5 x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 x (/.f64 z (-.f64 5 x))))) 2) (cbrt.f64 (.f64 x (.f64 x (/.f64 z (-.f64 5 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 x 4)) (.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 z (-.f64 5 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x (sqrt.f64 (/.f64 z (-.f64 5 x)))) (.f64 x (sqrt.f64 (/.f64 z (-.f64 5 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x (neg.f64 x)) (/.f64 1 (neg.f64 (/.f64 (-.f64 5 x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 z (-.f64 5 x)) (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 x (/.f64 (-.f64 5 x) x)) z)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 x 1) (/.f64 x (/.f64 (-.f64 5 x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 x (-.f64 5 x)) (/.f64 x (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) 1) (/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (-.f64 5 x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (-.f64 5 x)) (/.f64 (.f64 x x) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (-.f64 5 x)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 x (/.f64 (-.f64 5 x) z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 x (pow.f64 (cbrt.f64 (/.f64 (-.f64 5 x) z)) 2)) (/.f64 x (cbrt.f64 (/.f64 (-.f64 5 x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (-.f64 5 x) z)) 2)) (/.f64 (.f64 x x) (cbrt.f64 (/.f64 (-.f64 5 x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 5 x) z)) 2)) (cbrt.f64 (.f64 x (.f64 x (/.f64 z (-.f64 5 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 (/.f64 (-.f64 5 x) z))) (/.f64 (.f64 x x) (sqrt.f64 (/.f64 (-.f64 5 x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (sqrt.f64 (/.f64 (-.f64 5 x) z))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (/.f64 (-.f64 5 x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 x x) 1) (/.f64 z (-.f64 5 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 x x) (neg.f64 (-.f64 5 x))) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 x (/.f64 (-.f64 5 x) x)) 1) z)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 x (/.f64 (-.f64 5 x) x)) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 x (/.f64 (-.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 5 z) (neg.f64 (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 5 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 5 x) z))) (cbrt.f64 (exp.f64 (/.f64 (-.f64 5 x) z))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 5 x) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 5 x) z)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 5 x) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 5 z) (/.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 5 x) z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 5 x) (/.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 5 x) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (-.f64 5 x) z))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (-.f64 5 x)) 2) (.f64 (cbrt.f64 (-.f64 5 x)) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (-.f64 5 x) z)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 5 x) z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 5 x) z)) 2) (cbrt.f64 (/.f64 (-.f64 5 x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (-.f64 5 x)) (.f64 (sqrt.f64 (-.f64 5 x)) (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (-.f64 5 x) z)) (sqrt.f64 (/.f64 (-.f64 5 x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (-.f64 5 x)) (/.f64 1 (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 z) (-.f64 5 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 z) 2)) (/.f64 (-.f64 5 x) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 z)) (/.f64 (-.f64 5 x) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 5 x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 5 x)) z))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (-.f64 5 x)) 1) (/.f64 (sqrt.f64 (-.f64 5 x)) z))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 5 x)) 2) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (/.f64 (-.f64 5 x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (-.f64 5 x)) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (sqrt.f64 (-.f64 5 x)) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 5 x)) 2) (sqrt.f64 z)) (/.f64 (cbrt.f64 (-.f64 5 x)) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 5 x) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 5 x) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 5 x) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 5 x) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 z (-.f64 5 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 5 x) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 5 x) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 5 x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 5 x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 5 x) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 5 x) 3) (pow.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 5 x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 5 x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 5 x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 (-.f64 5 x) z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 5 (/.f64 1 z) (neg.f64 (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 5 z) (neg.f64 (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (cbrt.f64 (/.f64 5 z)) (cbrt.f64 (/.f64 5 z))) (cbrt.f64 (/.f64 5 z)) (neg.f64 (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 5 z)) (sqrt.f64 (/.f64 5 z)) (neg.f64 (/.f64 x z)))))))

simplify92.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

686×	`fma-def_binary64`
400×	`+-commutative_binary64`
399×	`associate-+l+_binary64`
376×	`distribute-lft-out_binary64`
330×	`associate-+r+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	115	1267
1	335	1244
2	976	1135
3	3779	1096
4	7881	1096

Stop Event

1×	node limit

Counts

398 → 366

Calls

Call 1

Inputs
(.f64 1/5 (.f64 z (pow.f64 x 2)))
(+.f64 (.f64 1/5 (.f64 z (pow.f64 x 2))) (.f64 1/25 (.f64 z (pow.f64 x 3))))
(+.f64 (.f64 1/5 (.f64 z (pow.f64 x 2))) (+.f64 (.f64 1/125 (.f64 z (pow.f64 x 4))) (.f64 1/25 (.f64 z (pow.f64 x 3)))))
(+.f64 (.f64 1/5 (.f64 z (pow.f64 x 2))) (+.f64 (.f64 1/625 (.f64 z (pow.f64 x 5))) (+.f64 (.f64 1/125 (.f64 z (pow.f64 x 4))) (.f64 1/25 (.f64 z (pow.f64 x 3))))))
(.f64 -1 (.f64 z x))
(+.f64 (.f64 -1 (.f64 z x)) (*.f64 -5 z))
(+.f64 (.f64 -1 (.f64 z x)) (+.f64 (.f64 -5 z) (.f64 -25 (/.f64 z x))))
(+.f64 (.f64 -125 (/.f64 z (pow.f64 x 2))) (+.f64 (.f64 -1 (.f64 z x)) (+.f64 (.f64 -5 z) (*.f64 -25 (/.f64 z x)))))
(.f64 -1 (.f64 z x))
(+.f64 (.f64 -1 (.f64 z x)) (*.f64 -5 z))
(+.f64 (.f64 -1 (.f64 z x)) (+.f64 (.f64 -5 z) (.f64 -25 (/.f64 z x))))
(+.f64 (.f64 -125 (/.f64 z (pow.f64 x 2))) (+.f64 (.f64 -1 (.f64 z x)) (+.f64 (.f64 -5 z) (*.f64 -25 (/.f64 z x)))))
(/.f64 (*.f64 z (pow.f64 x 2)) (-.f64 5 x))
(/.f64 (*.f64 z (pow.f64 x 2)) (-.f64 5 x))
(/.f64 (*.f64 z (pow.f64 x 2)) (-.f64 5 x))
(/.f64 (*.f64 z (pow.f64 x 2)) (-.f64 5 x))
(/.f64 (*.f64 z (pow.f64 x 2)) (-.f64 5 x))
(/.f64 (*.f64 z (pow.f64 x 2)) (-.f64 5 x))
(/.f64 (*.f64 z (pow.f64 x 2)) (-.f64 5 x))
(/.f64 (*.f64 z (pow.f64 x 2)) (-.f64 5 x))
(/.f64 (*.f64 z (pow.f64 x 2)) (-.f64 5 x))
(/.f64 (*.f64 z (pow.f64 x 2)) (-.f64 5 x))
(/.f64 (*.f64 z (pow.f64 x 2)) (-.f64 5 x))
(/.f64 (*.f64 z (pow.f64 x 2)) (-.f64 5 x))
(*.f64 5 z)
(+.f64 (.f64 z x) (.f64 5 z))
(+.f64 (.f64 z x) (+.f64 (.f64 1/5 (.f64 z (pow.f64 x 2))) (.f64 5 z)))
(+.f64 (.f64 z x) (+.f64 (.f64 1/5 (.f64 z (pow.f64 x 2))) (+.f64 (.f64 1/25 (.f64 z (pow.f64 x 3))) (.f64 5 z))))
(*.f64 -25 (/.f64 z x))
(+.f64 (.f64 -125 (/.f64 z (pow.f64 x 2))) (.f64 -25 (/.f64 z x)))
(+.f64 (.f64 -125 (/.f64 z (pow.f64 x 2))) (+.f64 (.f64 -625 (/.f64 z (pow.f64 x 3))) (*.f64 -25 (/.f64 z x))))
(+.f64 (.f64 -125 (/.f64 z (pow.f64 x 2))) (+.f64 (.f64 -3125 (/.f64 z (pow.f64 x 4))) (+.f64 (.f64 -625 (/.f64 z (pow.f64 x 3))) (.f64 -25 (/.f64 z x)))))
(*.f64 -25 (/.f64 z x))
(+.f64 (.f64 -125 (/.f64 z (pow.f64 x 2))) (.f64 -25 (/.f64 z x)))
(+.f64 (.f64 -125 (/.f64 z (pow.f64 x 2))) (+.f64 (.f64 -625 (/.f64 z (pow.f64 x 3))) (*.f64 -25 (/.f64 z x))))
(+.f64 (.f64 -125 (/.f64 z (pow.f64 x 2))) (+.f64 (.f64 -3125 (/.f64 z (pow.f64 x 4))) (+.f64 (.f64 -625 (/.f64 z (pow.f64 x 3))) (.f64 -25 (/.f64 z x)))))
(*.f64 25 (/.f64 z (-.f64 5 x)))
(*.f64 25 (/.f64 z (-.f64 5 x)))
(*.f64 25 (/.f64 z (-.f64 5 x)))
(*.f64 25 (/.f64 z (-.f64 5 x)))
(*.f64 25 (/.f64 z (-.f64 5 x)))
(*.f64 25 (/.f64 z (-.f64 5 x)))
(*.f64 25 (/.f64 z (-.f64 5 x)))
(*.f64 25 (/.f64 z (-.f64 5 x)))
(*.f64 25 (/.f64 z (-.f64 5 x)))
(*.f64 25 (/.f64 z (-.f64 5 x)))
(*.f64 25 (/.f64 z (-.f64 5 x)))
(*.f64 25 (/.f64 z (-.f64 5 x)))
(*.f64 5 z)
(+.f64 (.f64 z x) (.f64 5 z))
(+.f64 (.f64 z x) (+.f64 (.f64 (+.f64 (.f64 -1/25 z) (.f64 1/25 z)) (pow.f64 x 3)) (*.f64 5 z)))
(+.f64 (.f64 z x) (+.f64 (.f64 (+.f64 (.f64 1/125 z) (.f64 -1/125 z)) (pow.f64 x 4)) (+.f64 (.f64 (+.f64 (.f64 -1/25 z) (.f64 1/25 z)) (pow.f64 x 3)) (.f64 5 z))))
(*.f64 z x)
(+.f64 (.f64 z x) (.f64 5 z))
(+.f64 (.f64 z x) (+.f64 (.f64 25 (/.f64 z x)) (+.f64 (.f64 5 z) (.f64 -25 (/.f64 z x)))))
(+.f64 (.f64 -125 (/.f64 z (pow.f64 x 2))) (+.f64 (.f64 z x) (+.f64 (.f64 125 (/.f64 z (pow.f64 x 2))) (+.f64 (.f64 25 (/.f64 z x)) (+.f64 (.f64 5 z) (.f64 -25 (/.f64 z x)))))))
(*.f64 z x)
(+.f64 (.f64 z x) (.f64 5 z))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -25 z) (.f64 25 z)) x)) (+.f64 (.f64 z x) (*.f64 5 z)))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -25 z) (.f64 25 z)) x)) (+.f64 (.f64 -125 (/.f64 z (pow.f64 x 2))) (+.f64 (.f64 z x) (+.f64 (.f64 125 (/.f64 z (pow.f64 x 2))) (*.f64 5 z)))))
(.f64 (-.f64 (.f64 25 (/.f64 1 (-.f64 5 x))) (/.f64 (pow.f64 x 2) (-.f64 5 x))) z)
(.f64 (-.f64 (.f64 25 (/.f64 1 (-.f64 5 x))) (/.f64 (pow.f64 x 2) (-.f64 5 x))) z)
(.f64 (-.f64 (.f64 25 (/.f64 1 (-.f64 5 x))) (/.f64 (pow.f64 x 2) (-.f64 5 x))) z)
(.f64 (-.f64 (.f64 25 (/.f64 1 (-.f64 5 x))) (/.f64 (pow.f64 x 2) (-.f64 5 x))) z)
(.f64 (-.f64 (.f64 25 (/.f64 1 (-.f64 5 x))) (/.f64 (pow.f64 x 2) (-.f64 5 x))) z)
(.f64 (-.f64 (.f64 25 (/.f64 1 (-.f64 5 x))) (/.f64 (pow.f64 x 2) (-.f64 5 x))) z)
(.f64 (-.f64 (.f64 25 (/.f64 1 (-.f64 5 x))) (/.f64 (pow.f64 x 2) (-.f64 5 x))) z)
(.f64 (-.f64 (.f64 25 (/.f64 1 (-.f64 5 x))) (/.f64 (pow.f64 x 2) (-.f64 5 x))) z)
(.f64 (+.f64 (.f64 25 (/.f64 1 (-.f64 5 x))) (*.f64 -1 (/.f64 (pow.f64 x 2) (-.f64 5 x)))) z)
(.f64 (+.f64 (.f64 25 (/.f64 1 (-.f64 5 x))) (*.f64 -1 (/.f64 (pow.f64 x 2) (-.f64 5 x)))) z)
(.f64 (+.f64 (.f64 25 (/.f64 1 (-.f64 5 x))) (*.f64 -1 (/.f64 (pow.f64 x 2) (-.f64 5 x)))) z)
(.f64 (+.f64 (.f64 25 (/.f64 1 (-.f64 5 x))) (*.f64 -1 (/.f64 (pow.f64 x 2) (-.f64 5 x)))) z)
(/.f64 5 z)
(+.f64 (.f64 -1 (/.f64 x z)) (.f64 5 (/.f64 1 z)))
(+.f64 (.f64 -1 (/.f64 x z)) (.f64 5 (/.f64 1 z)))
(+.f64 (.f64 -1 (/.f64 x z)) (.f64 5 (/.f64 1 z)))
(*.f64 -1 (/.f64 x z))
(+.f64 (.f64 5 (/.f64 1 z)) (.f64 -1 (/.f64 x z)))
(+.f64 (.f64 5 (/.f64 1 z)) (.f64 -1 (/.f64 x z)))
(+.f64 (.f64 5 (/.f64 1 z)) (.f64 -1 (/.f64 x z)))
(*.f64 -1 (/.f64 x z))
(+.f64 (.f64 5 (/.f64 1 z)) (.f64 -1 (/.f64 x z)))
(+.f64 (.f64 5 (/.f64 1 z)) (.f64 -1 (/.f64 x z)))
(+.f64 (.f64 5 (/.f64 1 z)) (.f64 -1 (/.f64 x z)))

Outputs
(.f64 1/5 (.f64 z (pow.f64 x 2)))
(.f64 (.f64 1/5 z) (*.f64 x x))
(.f64 1/5 (.f64 z (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 1/5 z))
(+.f64 (.f64 1/5 (.f64 z (pow.f64 x 2))) (.f64 1/25 (.f64 z (pow.f64 x 3))))
(fma.f64 1/5 (.f64 z (.f64 x x)) (.f64 1/25 (.f64 z (pow.f64 x 3))))
(fma.f64 1/5 (.f64 z (.f64 x x)) (.f64 z (.f64 (pow.f64 x 3) 1/25)))
(.f64 (.f64 x x) (+.f64 (.f64 1/5 z) (.f64 z (*.f64 1/25 x))))
(.f64 z (.f64 (.f64 x x) (+.f64 (.f64 x 1/25) 1/5)))
(+.f64 (.f64 1/5 (.f64 z (pow.f64 x 2))) (+.f64 (.f64 1/125 (.f64 z (pow.f64 x 4))) (.f64 1/25 (.f64 z (pow.f64 x 3)))))
(fma.f64 1/5 (.f64 z (.f64 x x)) (fma.f64 1/125 (.f64 z (pow.f64 x 4)) (.f64 1/25 (*.f64 z (pow.f64 x 3)))))
(fma.f64 1/5 (.f64 z (.f64 x x)) (fma.f64 1/25 (.f64 z (pow.f64 x 3)) (.f64 z (*.f64 (pow.f64 x 4) 1/125))))
(fma.f64 1/5 (.f64 z (.f64 x x)) (.f64 z (+.f64 (.f64 1/25 (pow.f64 x 3)) (*.f64 1/125 (pow.f64 x 4)))))
(.f64 z (+.f64 (.f64 1/5 (.f64 x x)) (.f64 (pow.f64 x 3) (+.f64 (*.f64 x 1/125) 1/25))))
(+.f64 (.f64 1/5 (.f64 z (pow.f64 x 2))) (+.f64 (.f64 1/625 (.f64 z (pow.f64 x 5))) (+.f64 (.f64 1/125 (.f64 z (pow.f64 x 4))) (.f64 1/25 (.f64 z (pow.f64 x 3))))))
(fma.f64 1/5 (.f64 z (.f64 x x)) (fma.f64 1/625 (.f64 z (pow.f64 x 5)) (fma.f64 1/125 (.f64 z (pow.f64 x 4)) (.f64 1/25 (.f64 z (pow.f64 x 3))))))
(fma.f64 1/5 (.f64 z (.f64 x x)) (fma.f64 1/625 (.f64 z (pow.f64 x 5)) (fma.f64 1/25 (.f64 z (pow.f64 x 3)) (.f64 z (.f64 (pow.f64 x 4) 1/125)))))
(fma.f64 1/5 (.f64 z (.f64 x x)) (fma.f64 z (.f64 1/625 (pow.f64 x 5)) (.f64 z (+.f64 (.f64 1/25 (pow.f64 x 3)) (.f64 1/125 (pow.f64 x 4))))))
(.f64 z (+.f64 (+.f64 (.f64 1/625 (pow.f64 x 5)) (.f64 1/5 (.f64 x x))) (.f64 (pow.f64 x 3) (+.f64 (.f64 x 1/125) 1/25))))
(.f64 -1 (.f64 z x))
(neg.f64 (*.f64 z x))
(*.f64 z (neg.f64 x))
(*.f64 x (neg.f64 z))
(+.f64 (.f64 -1 (.f64 z x)) (*.f64 -5 z))
(fma.f64 -1 (.f64 z x) (.f64 z -5))
(-.f64 (.f64 z -5) (.f64 z x))
(*.f64 z (-.f64 -5 x))
(+.f64 (.f64 -1 (.f64 z x)) (+.f64 (.f64 -5 z) (.f64 -25 (/.f64 z x))))
(fma.f64 -1 (.f64 z x) (fma.f64 -5 z (/.f64 (.f64 z -25) x)))
(-.f64 (fma.f64 z -5 (.f64 -25 (/.f64 z x))) (.f64 z x))
(fma.f64 -25 (/.f64 z x) (*.f64 z (-.f64 -5 x)))
(+.f64 (.f64 -125 (/.f64 z (pow.f64 x 2))) (+.f64 (.f64 -1 (.f64 z x)) (+.f64 (.f64 -5 z) (*.f64 -25 (/.f64 z x)))))
(fma.f64 -125 (/.f64 z (.f64 x x)) (fma.f64 -1 (.f64 z x) (fma.f64 -5 z (/.f64 (*.f64 z -25) x))))
(fma.f64 -125 (/.f64 z (.f64 x x)) (-.f64 (fma.f64 z -5 (.f64 -25 (/.f64 z x))) (*.f64 z x)))
(+.f64 (.f64 z (-.f64 -5 x)) (.f64 (/.f64 z x) (+.f64 -25 (/.f64 -125 x))))
(+.f64 (.f64 (/.f64 z x) (+.f64 -25 (/.f64 -125 x))) (.f64 z (-.f64 -5 x)))
(.f64 -1 (.f64 z x))
(neg.f64 (*.f64 z x))
(*.f64 z (neg.f64 x))
(*.f64 x (neg.f64 z))
(+.f64 (.f64 -1 (.f64 z x)) (*.f64 -5 z))
(fma.f64 -1 (.f64 z x) (.f64 z -5))
(-.f64 (.f64 z -5) (.f64 z x))
(*.f64 z (-.f64 -5 x))
(+.f64 (.f64 -1 (.f64 z x)) (+.f64 (.f64 -5 z) (.f64 -25 (/.f64 z x))))
(fma.f64 -1 (.f64 z x) (fma.f64 -5 z (/.f64 (.f64 z -25) x)))
(-.f64 (fma.f64 z -5 (.f64 -25 (/.f64 z x))) (.f64 z x))
(fma.f64 -25 (/.f64 z x) (*.f64 z (-.f64 -5 x)))
(+.f64 (.f64 -125 (/.f64 z (pow.f64 x 2))) (+.f64 (.f64 -1 (.f64 z x)) (+.f64 (.f64 -5 z) (*.f64 -25 (/.f64 z x)))))
(fma.f64 -125 (/.f64 z (.f64 x x)) (fma.f64 -1 (.f64 z x) (fma.f64 -5 z (/.f64 (*.f64 z -25) x))))
(fma.f64 -125 (/.f64 z (.f64 x x)) (-.f64 (fma.f64 z -5 (.f64 -25 (/.f64 z x))) (*.f64 z x)))
(+.f64 (.f64 z (-.f64 -5 x)) (.f64 (/.f64 z x) (+.f64 -25 (/.f64 -125 x))))
(+.f64 (.f64 (/.f64 z x) (+.f64 -25 (/.f64 -125 x))) (.f64 z (-.f64 -5 x)))
(/.f64 (*.f64 z (pow.f64 x 2)) (-.f64 5 x))
(/.f64 (.f64 z (.f64 x x)) (-.f64 5 x))
(.f64 (/.f64 z (-.f64 5 x)) (.f64 x x))
(.f64 (/.f64 (.f64 x x) (-.f64 5 x)) z)
(.f64 z (/.f64 (.f64 x x) (-.f64 5 x)))
(/.f64 (*.f64 z (pow.f64 x 2)) (-.f64 5 x))
(/.f64 (.f64 z (.f64 x x)) (-.f64 5 x))
(.f64 (/.f64 z (-.f64 5 x)) (.f64 x x))
(.f64 (/.f64 (.f64 x x) (-.f64 5 x)) z)
(.f64 z (/.f64 (.f64 x x) (-.f64 5 x)))
(/.f64 (*.f64 z (pow.f64 x 2)) (-.f64 5 x))
(/.f64 (.f64 z (.f64 x x)) (-.f64 5 x))
(.f64 (/.f64 z (-.f64 5 x)) (.f64 x x))
(.f64 (/.f64 (.f64 x x) (-.f64 5 x)) z)
(.f64 z (/.f64 (.f64 x x) (-.f64 5 x)))
(/.f64 (*.f64 z (pow.f64 x 2)) (-.f64 5 x))
(/.f64 (.f64 z (.f64 x x)) (-.f64 5 x))
(.f64 (/.f64 z (-.f64 5 x)) (.f64 x x))
(.f64 (/.f64 (.f64 x x) (-.f64 5 x)) z)
(.f64 z (/.f64 (.f64 x x) (-.f64 5 x)))
(/.f64 (*.f64 z (pow.f64 x 2)) (-.f64 5 x))
(/.f64 (.f64 z (.f64 x x)) (-.f64 5 x))
(.f64 (/.f64 z (-.f64 5 x)) (.f64 x x))
(.f64 (/.f64 (.f64 x x) (-.f64 5 x)) z)
(.f64 z (/.f64 (.f64 x x) (-.f64 5 x)))
(/.f64 (*.f64 z (pow.f64 x 2)) (-.f64 5 x))
(/.f64 (.f64 z (.f64 x x)) (-.f64 5 x))
(.f64 (/.f64 z (-.f64 5 x)) (.f64 x x))
(.f64 (/.f64 (.f64 x x) (-.f64 5 x)) z)
(.f64 z (/.f64 (.f64 x x) (-.f64 5 x)))
(/.f64 (*.f64 z (pow.f64 x 2)) (-.f64 5 x))
(/.f64 (.f64 z (.f64 x x)) (-.f64 5 x))
(.f64 (/.f64 z (-.f64 5 x)) (.f64 x x))
(.f64 (/.f64 (.f64 x x) (-.f64 5 x)) z)
(.f64 z (/.f64 (.f64 x x) (-.f64 5 x)))
(/.f64 (*.f64 z (pow.f64 x 2)) (-.f64 5 x))
(/.f64 (.f64 z (.f64 x x)) (-.f64 5 x))
(.f64 (/.f64 z (-.f64 5 x)) (.f64 x x))
(.f64 (/.f64 (.f64 x x) (-.f64 5 x)) z)
(.f64 z (/.f64 (.f64 x x) (-.f64 5 x)))
(/.f64 (*.f64 z (pow.f64 x 2)) (-.f64 5 x))
(/.f64 (.f64 z (.f64 x x)) (-.f64 5 x))
(.f64 (/.f64 z (-.f64 5 x)) (.f64 x x))
(.f64 (/.f64 (.f64 x x) (-.f64 5 x)) z)
(.f64 z (/.f64 (.f64 x x) (-.f64 5 x)))
(/.f64 (*.f64 z (pow.f64 x 2)) (-.f64 5 x))
(/.f64 (.f64 z (.f64 x x)) (-.f64 5 x))
(.f64 (/.f64 z (-.f64 5 x)) (.f64 x x))
(.f64 (/.f64 (.f64 x x) (-.f64 5 x)) z)
(.f64 z (/.f64 (.f64 x x) (-.f64 5 x)))
(/.f64 (*.f64 z (pow.f64 x 2)) (-.f64 5 x))
(/.f64 (.f64 z (.f64 x x)) (-.f64 5 x))
(.f64 (/.f64 z (-.f64 5 x)) (.f64 x x))
(.f64 (/.f64 (.f64 x x) (-.f64 5 x)) z)
(.f64 z (/.f64 (.f64 x x) (-.f64 5 x)))
(/.f64 (*.f64 z (pow.f64 x 2)) (-.f64 5 x))
(/.f64 (.f64 z (.f64 x x)) (-.f64 5 x))
(.f64 (/.f64 z (-.f64 5 x)) (.f64 x x))
(.f64 (/.f64 (.f64 x x) (-.f64 5 x)) z)
(.f64 z (/.f64 (.f64 x x) (-.f64 5 x)))
(*.f64 5 z)
(*.f64 z 5)
(+.f64 (.f64 z x) (.f64 5 z))
(fma.f64 z x (*.f64 z 5))
(*.f64 z (+.f64 x 5))
(+.f64 (.f64 z x) (+.f64 (.f64 1/5 (.f64 z (pow.f64 x 2))) (.f64 5 z)))
(fma.f64 z x (fma.f64 1/5 (.f64 z (.f64 x x)) (*.f64 z 5)))
(fma.f64 z x (fma.f64 (.f64 1/5 z) (.f64 x x) (*.f64 z 5)))
(.f64 z (+.f64 (.f64 1/5 (*.f64 x x)) (+.f64 x 5)))
(.f64 z (+.f64 (+.f64 x 5) (.f64 1/5 (*.f64 x x))))
(+.f64 (.f64 z x) (+.f64 (.f64 1/5 (.f64 z (pow.f64 x 2))) (+.f64 (.f64 1/25 (.f64 z (pow.f64 x 3))) (.f64 5 z))))
(fma.f64 z x (fma.f64 1/5 (.f64 z (.f64 x x)) (fma.f64 1/25 (.f64 z (pow.f64 x 3)) (.f64 z 5))))
(fma.f64 z x (fma.f64 (.f64 1/5 z) (.f64 x x) (fma.f64 1/25 (.f64 z (pow.f64 x 3)) (.f64 z 5))))
(fma.f64 1/5 (.f64 z (.f64 x x)) (fma.f64 z x (.f64 z (+.f64 (.f64 1/25 (pow.f64 x 3)) 5))))
(.f64 z (+.f64 (.f64 (.f64 x x) (+.f64 (.f64 x 1/25) 1/5)) (+.f64 x 5)))
(*.f64 -25 (/.f64 z x))
(/.f64 (*.f64 z -25) x)
(*.f64 z (/.f64 -25 x))
(+.f64 (.f64 -125 (/.f64 z (pow.f64 x 2))) (.f64 -25 (/.f64 z x)))
(fma.f64 -125 (/.f64 z (.f64 x x)) (/.f64 (.f64 z -25) x))
(fma.f64 -25 (/.f64 z x) (.f64 -125 (/.f64 z (.f64 x x))))
(*.f64 (/.f64 z x) (+.f64 -25 (/.f64 -125 x)))
(+.f64 (.f64 -125 (/.f64 z (pow.f64 x 2))) (+.f64 (.f64 -625 (/.f64 z (pow.f64 x 3))) (*.f64 -25 (/.f64 z x))))
(fma.f64 -125 (/.f64 z (.f64 x x)) (fma.f64 -625 (/.f64 z (pow.f64 x 3)) (/.f64 (.f64 z -25) x)))
(fma.f64 -125 (/.f64 z (.f64 x x)) (fma.f64 -25 (/.f64 z x) (/.f64 (.f64 z -625) (pow.f64 x 3))))
(fma.f64 -25 (/.f64 z x) (.f64 (/.f64 z (.f64 x x)) (+.f64 -125 (/.f64 -625 x))))
(.f64 (/.f64 z x) (+.f64 -25 (+.f64 (/.f64 -625 (.f64 x x)) (/.f64 -125 x))))
(+.f64 (.f64 -125 (/.f64 z (pow.f64 x 2))) (+.f64 (.f64 -3125 (/.f64 z (pow.f64 x 4))) (+.f64 (.f64 -625 (/.f64 z (pow.f64 x 3))) (.f64 -25 (/.f64 z x)))))
(fma.f64 -125 (/.f64 z (.f64 x x)) (fma.f64 -3125 (/.f64 z (pow.f64 x 4)) (fma.f64 -625 (/.f64 z (pow.f64 x 3)) (/.f64 (.f64 z -25) x))))
(fma.f64 -125 (/.f64 z (.f64 x x)) (fma.f64 -3125 (/.f64 z (pow.f64 x 4)) (fma.f64 -25 (/.f64 z x) (/.f64 (.f64 z -625) (pow.f64 x 3)))))
(fma.f64 -3125 (/.f64 z (pow.f64 x 4)) (fma.f64 -25 (/.f64 z x) (.f64 (/.f64 z (.f64 x x)) (+.f64 -125 (/.f64 -625 x)))))
(+.f64 (.f64 (/.f64 z x) (+.f64 -25 (/.f64 -125 x))) (.f64 (/.f64 z (pow.f64 x 3)) (+.f64 -625 (/.f64 -3125 x))))
(*.f64 -25 (/.f64 z x))
(/.f64 (*.f64 z -25) x)
(*.f64 z (/.f64 -25 x))
(+.f64 (.f64 -125 (/.f64 z (pow.f64 x 2))) (.f64 -25 (/.f64 z x)))
(fma.f64 -125 (/.f64 z (.f64 x x)) (/.f64 (.f64 z -25) x))
(fma.f64 -25 (/.f64 z x) (.f64 -125 (/.f64 z (.f64 x x))))
(*.f64 (/.f64 z x) (+.f64 -25 (/.f64 -125 x)))
(+.f64 (.f64 -125 (/.f64 z (pow.f64 x 2))) (+.f64 (.f64 -625 (/.f64 z (pow.f64 x 3))) (*.f64 -25 (/.f64 z x))))
(fma.f64 -125 (/.f64 z (.f64 x x)) (fma.f64 -625 (/.f64 z (pow.f64 x 3)) (/.f64 (.f64 z -25) x)))
(fma.f64 -125 (/.f64 z (.f64 x x)) (fma.f64 -25 (/.f64 z x) (/.f64 (.f64 z -625) (pow.f64 x 3))))
(fma.f64 -25 (/.f64 z x) (.f64 (/.f64 z (.f64 x x)) (+.f64 -125 (/.f64 -625 x))))
(.f64 (/.f64 z x) (+.f64 -25 (+.f64 (/.f64 -625 (.f64 x x)) (/.f64 -125 x))))
(+.f64 (.f64 -125 (/.f64 z (pow.f64 x 2))) (+.f64 (.f64 -3125 (/.f64 z (pow.f64 x 4))) (+.f64 (.f64 -625 (/.f64 z (pow.f64 x 3))) (.f64 -25 (/.f64 z x)))))
(fma.f64 -125 (/.f64 z (.f64 x x)) (fma.f64 -3125 (/.f64 z (pow.f64 x 4)) (fma.f64 -625 (/.f64 z (pow.f64 x 3)) (/.f64 (.f64 z -25) x))))
(fma.f64 -125 (/.f64 z (.f64 x x)) (fma.f64 -3125 (/.f64 z (pow.f64 x 4)) (fma.f64 -25 (/.f64 z x) (/.f64 (.f64 z -625) (pow.f64 x 3)))))
(fma.f64 -3125 (/.f64 z (pow.f64 x 4)) (fma.f64 -25 (/.f64 z x) (.f64 (/.f64 z (.f64 x x)) (+.f64 -125 (/.f64 -625 x)))))
(+.f64 (.f64 (/.f64 z x) (+.f64 -25 (/.f64 -125 x))) (.f64 (/.f64 z (pow.f64 x 3)) (+.f64 -625 (/.f64 -3125 x))))
(*.f64 25 (/.f64 z (-.f64 5 x)))
(/.f64 z (-.f64 1/5 (/.f64 x 25)))
(/.f64 (*.f64 z 25) (-.f64 5 x))
(*.f64 25 (/.f64 z (-.f64 5 x)))
(/.f64 z (-.f64 1/5 (/.f64 x 25)))
(/.f64 (*.f64 z 25) (-.f64 5 x))
(*.f64 25 (/.f64 z (-.f64 5 x)))
(/.f64 z (-.f64 1/5 (/.f64 x 25)))
(/.f64 (*.f64 z 25) (-.f64 5 x))
(*.f64 25 (/.f64 z (-.f64 5 x)))
(/.f64 z (-.f64 1/5 (/.f64 x 25)))
(/.f64 (*.f64 z 25) (-.f64 5 x))
(*.f64 25 (/.f64 z (-.f64 5 x)))
(/.f64 z (-.f64 1/5 (/.f64 x 25)))
(/.f64 (*.f64 z 25) (-.f64 5 x))
(*.f64 25 (/.f64 z (-.f64 5 x)))
(/.f64 z (-.f64 1/5 (/.f64 x 25)))
(/.f64 (*.f64 z 25) (-.f64 5 x))
(*.f64 25 (/.f64 z (-.f64 5 x)))
(/.f64 z (-.f64 1/5 (/.f64 x 25)))
(/.f64 (*.f64 z 25) (-.f64 5 x))
(*.f64 25 (/.f64 z (-.f64 5 x)))
(/.f64 z (-.f64 1/5 (/.f64 x 25)))
(/.f64 (*.f64 z 25) (-.f64 5 x))
(*.f64 25 (/.f64 z (-.f64 5 x)))
(/.f64 z (-.f64 1/5 (/.f64 x 25)))
(/.f64 (*.f64 z 25) (-.f64 5 x))
(*.f64 25 (/.f64 z (-.f64 5 x)))
(/.f64 z (-.f64 1/5 (/.f64 x 25)))
(/.f64 (*.f64 z 25) (-.f64 5 x))
(*.f64 25 (/.f64 z (-.f64 5 x)))
(/.f64 z (-.f64 1/5 (/.f64 x 25)))
(/.f64 (*.f64 z 25) (-.f64 5 x))
(*.f64 25 (/.f64 z (-.f64 5 x)))
(/.f64 z (-.f64 1/5 (/.f64 x 25)))
(/.f64 (*.f64 z 25) (-.f64 5 x))
(*.f64 5 z)
(*.f64 z 5)
(+.f64 (.f64 z x) (.f64 5 z))
(fma.f64 z x (*.f64 z 5))
(*.f64 z (+.f64 x 5))
(+.f64 (.f64 z x) (+.f64 (.f64 (+.f64 (.f64 -1/25 z) (.f64 1/25 z)) (pow.f64 x 3)) (*.f64 5 z)))
(fma.f64 z x (*.f64 z 5))
(*.f64 z (+.f64 x 5))
(+.f64 (.f64 z x) (+.f64 (.f64 (+.f64 (.f64 1/125 z) (.f64 -1/125 z)) (pow.f64 x 4)) (+.f64 (.f64 (+.f64 (.f64 -1/25 z) (.f64 1/25 z)) (pow.f64 x 3)) (.f64 5 z))))
(fma.f64 z x (*.f64 z 5))
(*.f64 z (+.f64 x 5))
(*.f64 z x)
(+.f64 (.f64 z x) (.f64 5 z))
(fma.f64 z x (*.f64 z 5))
(*.f64 z (+.f64 x 5))
(+.f64 (.f64 z x) (+.f64 (.f64 25 (/.f64 z x)) (+.f64 (.f64 5 z) (.f64 -25 (/.f64 z x)))))
(fma.f64 z x (*.f64 z 5))
(*.f64 z (+.f64 x 5))
(+.f64 (.f64 -125 (/.f64 z (pow.f64 x 2))) (+.f64 (.f64 z x) (+.f64 (.f64 125 (/.f64 z (pow.f64 x 2))) (+.f64 (.f64 25 (/.f64 z x)) (+.f64 (.f64 5 z) (.f64 -25 (/.f64 z x)))))))
(fma.f64 -125 (/.f64 z (.f64 x x)) (fma.f64 z x (fma.f64 125 (/.f64 z (.f64 x x)) (fma.f64 25 (/.f64 z x) (fma.f64 5 z (/.f64 (*.f64 z -25) x))))))
(fma.f64 -125 (/.f64 z (.f64 x x)) (fma.f64 z x (fma.f64 (/.f64 z (.f64 x x)) 125 (fma.f64 (/.f64 z x) 25 (fma.f64 z 5 (*.f64 -25 (/.f64 z x)))))))
(fma.f64 -125 (/.f64 z (.f64 x x)) (fma.f64 (/.f64 z (.f64 x x)) 125 (*.f64 z (+.f64 x 5))))
(+.f64 (.f64 z (+.f64 x 5)) (.f64 (/.f64 z (*.f64 x x)) 0))
(*.f64 z x)
(+.f64 (.f64 z x) (.f64 5 z))
(fma.f64 z x (*.f64 z 5))
(*.f64 z (+.f64 x 5))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -25 z) (.f64 25 z)) x)) (+.f64 (.f64 z x) (*.f64 5 z)))
(fma.f64 z x (*.f64 z 5))
(*.f64 z (+.f64 x 5))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -25 z) (.f64 25 z)) x)) (+.f64 (.f64 -125 (/.f64 z (pow.f64 x 2))) (+.f64 (.f64 z x) (+.f64 (.f64 125 (/.f64 z (pow.f64 x 2))) (*.f64 5 z)))))
(fma.f64 -125 (/.f64 z (.f64 x x)) (fma.f64 z x (fma.f64 125 (/.f64 z (.f64 x x)) (fma.f64 25 (/.f64 z x) (fma.f64 5 z (/.f64 (*.f64 z -25) x))))))
(fma.f64 -125 (/.f64 z (.f64 x x)) (fma.f64 z x (fma.f64 (/.f64 z (.f64 x x)) 125 (fma.f64 (/.f64 z x) 25 (fma.f64 z 5 (*.f64 -25 (/.f64 z x)))))))
(fma.f64 -125 (/.f64 z (.f64 x x)) (fma.f64 (/.f64 z (.f64 x x)) 125 (*.f64 z (+.f64 x 5))))
(+.f64 (.f64 z (+.f64 x 5)) (.f64 (/.f64 z (*.f64 x x)) 0))
(.f64 (-.f64 (.f64 25 (/.f64 1 (-.f64 5 x))) (/.f64 (pow.f64 x 2) (-.f64 5 x))) z)
(.f64 z (-.f64 (/.f64 25 (-.f64 5 x)) (/.f64 (.f64 x x) (-.f64 5 x))))
(.f64 (-.f64 (.f64 25 (/.f64 1 (-.f64 5 x))) (/.f64 (pow.f64 x 2) (-.f64 5 x))) z)
(.f64 z (-.f64 (/.f64 25 (-.f64 5 x)) (/.f64 (.f64 x x) (-.f64 5 x))))
(.f64 (-.f64 (.f64 25 (/.f64 1 (-.f64 5 x))) (/.f64 (pow.f64 x 2) (-.f64 5 x))) z)
(.f64 z (-.f64 (/.f64 25 (-.f64 5 x)) (/.f64 (.f64 x x) (-.f64 5 x))))
(.f64 (-.f64 (.f64 25 (/.f64 1 (-.f64 5 x))) (/.f64 (pow.f64 x 2) (-.f64 5 x))) z)
(.f64 z (-.f64 (/.f64 25 (-.f64 5 x)) (/.f64 (.f64 x x) (-.f64 5 x))))
(.f64 (-.f64 (.f64 25 (/.f64 1 (-.f64 5 x))) (/.f64 (pow.f64 x 2) (-.f64 5 x))) z)
(.f64 z (-.f64 (/.f64 25 (-.f64 5 x)) (/.f64 (.f64 x x) (-.f64 5 x))))
(.f64 (-.f64 (.f64 25 (/.f64 1 (-.f64 5 x))) (/.f64 (pow.f64 x 2) (-.f64 5 x))) z)
(.f64 z (-.f64 (/.f64 25 (-.f64 5 x)) (/.f64 (.f64 x x) (-.f64 5 x))))
(.f64 (-.f64 (.f64 25 (/.f64 1 (-.f64 5 x))) (/.f64 (pow.f64 x 2) (-.f64 5 x))) z)
(.f64 z (-.f64 (/.f64 25 (-.f64 5 x)) (/.f64 (.f64 x x) (-.f64 5 x))))
(.f64 (-.f64 (.f64 25 (/.f64 1 (-.f64 5 x))) (/.f64 (pow.f64 x 2) (-.f64 5 x))) z)
(.f64 z (-.f64 (/.f64 25 (-.f64 5 x)) (/.f64 (.f64 x x) (-.f64 5 x))))
(.f64 (+.f64 (.f64 25 (/.f64 1 (-.f64 5 x))) (*.f64 -1 (/.f64 (pow.f64 x 2) (-.f64 5 x)))) z)
(.f64 z (-.f64 (/.f64 25 (-.f64 5 x)) (/.f64 (.f64 x x) (-.f64 5 x))))
(.f64 (+.f64 (.f64 25 (/.f64 1 (-.f64 5 x))) (*.f64 -1 (/.f64 (pow.f64 x 2) (-.f64 5 x)))) z)
(.f64 z (-.f64 (/.f64 25 (-.f64 5 x)) (/.f64 (.f64 x x) (-.f64 5 x))))
(.f64 (+.f64 (.f64 25 (/.f64 1 (-.f64 5 x))) (*.f64 -1 (/.f64 (pow.f64 x 2) (-.f64 5 x)))) z)
(.f64 z (-.f64 (/.f64 25 (-.f64 5 x)) (/.f64 (.f64 x x) (-.f64 5 x))))
(.f64 (+.f64 (.f64 25 (/.f64 1 (-.f64 5 x))) (*.f64 -1 (/.f64 (pow.f64 x 2) (-.f64 5 x)))) z)
(.f64 z (-.f64 (/.f64 25 (-.f64 5 x)) (/.f64 (.f64 x x) (-.f64 5 x))))
(/.f64 5 z)
(+.f64 (.f64 -1 (/.f64 x z)) (.f64 5 (/.f64 1 z)))
(fma.f64 -1 (/.f64 x z) (/.f64 5 z))
(-.f64 (/.f64 5 z) (/.f64 x z))
(/.f64 (-.f64 5 x) z)
(+.f64 (.f64 -1 (/.f64 x z)) (.f64 5 (/.f64 1 z)))
(fma.f64 -1 (/.f64 x z) (/.f64 5 z))
(-.f64 (/.f64 5 z) (/.f64 x z))
(/.f64 (-.f64 5 x) z)
(+.f64 (.f64 -1 (/.f64 x z)) (.f64 5 (/.f64 1 z)))
(fma.f64 -1 (/.f64 x z) (/.f64 5 z))
(-.f64 (/.f64 5 z) (/.f64 x z))
(/.f64 (-.f64 5 x) z)
(*.f64 -1 (/.f64 x z))
(neg.f64 (/.f64 x z))
(/.f64 (neg.f64 x) z)
(+.f64 (.f64 5 (/.f64 1 z)) (.f64 -1 (/.f64 x z)))
(fma.f64 -1 (/.f64 x z) (/.f64 5 z))
(-.f64 (/.f64 5 z) (/.f64 x z))
(/.f64 (-.f64 5 x) z)
(+.f64 (.f64 5 (/.f64 1 z)) (.f64 -1 (/.f64 x z)))
(fma.f64 -1 (/.f64 x z) (/.f64 5 z))
(-.f64 (/.f64 5 z) (/.f64 x z))
(/.f64 (-.f64 5 x) z)
(+.f64 (.f64 5 (/.f64 1 z)) (.f64 -1 (/.f64 x z)))
(fma.f64 -1 (/.f64 x z) (/.f64 5 z))
(-.f64 (/.f64 5 z) (/.f64 x z))
(/.f64 (-.f64 5 x) z)
(*.f64 -1 (/.f64 x z))
(neg.f64 (/.f64 x z))
(/.f64 (neg.f64 x) z)
(+.f64 (.f64 5 (/.f64 1 z)) (.f64 -1 (/.f64 x z)))
(fma.f64 -1 (/.f64 x z) (/.f64 5 z))
(-.f64 (/.f64 5 z) (/.f64 x z))
(/.f64 (-.f64 5 x) z)
(+.f64 (.f64 5 (/.f64 1 z)) (.f64 -1 (/.f64 x z)))
(fma.f64 -1 (/.f64 x z) (/.f64 5 z))
(-.f64 (/.f64 5 z) (/.f64 x z))
(/.f64 (-.f64 5 x) z)
(+.f64 (.f64 5 (/.f64 1 z)) (.f64 -1 (/.f64 x z)))
(fma.f64 -1 (/.f64 x z) (/.f64 5 z))
(-.f64 (/.f64 5 z) (/.f64 x z))
(/.f64 (-.f64 5 x) z)

localize24.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 25 (.f64 z z))
✓	0.3b	(.f64 (.f64 x (+.f64 y z)) (*.f64 x (+.f64 y z)))
✓	4.8b	(-.f64 (.f64 (.f64 x (+.f64 y z)) (.f64 x (+.f64 y z))) (.f64 25 (*.f64 z z)))
✓	28.0b	(/.f64 (-.f64 (.f64 (.f64 x (+.f64 y z)) (.f64 x (+.f64 y z))) (.f64 25 (.f64 z z))) (-.f64 (.f64 x (+.f64 y z)) (*.f64 z 5)))

Compiler

Compiled 91 to 26 computations (71.4% saved)

series21.0ms (0.3%)

Counts

4 → 120

Calls

30 calls:

Time	Variable		Point	Expression
2.0ms	y	@	0	(/.f64 (-.f64 (.f64 (.f64 x (+.f64 y z)) (.f64 x (+.f64 y z))) (.f64 25 (.f64 z z))) (-.f64 (.f64 x (+.f64 y z)) (*.f64 z 5)))
2.0ms	z	@	-inf	(/.f64 (-.f64 (.f64 (.f64 x (+.f64 y z)) (.f64 x (+.f64 y z))) (.f64 25 (.f64 z z))) (-.f64 (.f64 x (+.f64 y z)) (*.f64 z 5)))
2.0ms	z	@	inf	(/.f64 (-.f64 (.f64 (.f64 x (+.f64 y z)) (.f64 x (+.f64 y z))) (.f64 25 (.f64 z z))) (-.f64 (.f64 x (+.f64 y z)) (*.f64 z 5)))
1.0ms	x	@	0	(/.f64 (-.f64 (.f64 (.f64 x (+.f64 y z)) (.f64 x (+.f64 y z))) (.f64 25 (.f64 z z))) (-.f64 (.f64 x (+.f64 y z)) (*.f64 z 5)))
1.0ms	y	@	-inf	(/.f64 (-.f64 (.f64 (.f64 x (+.f64 y z)) (.f64 x (+.f64 y z))) (.f64 25 (.f64 z z))) (-.f64 (.f64 x (+.f64 y z)) (*.f64 z 5)))

rewrite123.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

623×	`fma-neg_binary64`
312×	`expm1-udef_binary64`
312×	`log1p-udef_binary64`
192×	`add-sqr-sqrt_binary64`
186×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	70
1	375	47
2	5913	47

Stop Event

1×	node limit

Counts

4 → 212

Calls

Call 1

Inputs
(/.f64 (-.f64 (.f64 (.f64 x (+.f64 y z)) (.f64 x (+.f64 y z))) (.f64 25 (.f64 z z))) (-.f64 (.f64 x (+.f64 y z)) (*.f64 z 5)))
(-.f64 (.f64 (.f64 x (+.f64 y z)) (.f64 x (+.f64 y z))) (.f64 25 (*.f64 z z)))
(.f64 (.f64 x (+.f64 y z)) (*.f64 x (+.f64 y z)))
(.f64 25 (.f64 z z))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (+.f64 y z)) (.f64 z 5))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 z 5) (.f64 x (+.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (pow.f64 (.f64 x (+.f64 y z)) 2) (fma.f64 x (+.f64 y z) (.f64 z -5))) (neg.f64 (.f64 25 (/.f64 (.f64 z z) (fma.f64 x (+.f64 y z) (.f64 z -5))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x y) (+.f64 (.f64 x z) (.f64 z 5)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (.f64 x (+.f64 y z)) 2) (fma.f64 x (+.f64 y z) (.f64 z -5))) (.f64 25 (/.f64 (.f64 z z) (fma.f64 x (+.f64 y z) (.f64 z -5)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x (+.f64 y z) (.f64 z 5)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 (.f64 x (+.f64 y z)) 2) (.f64 (.f64 z z) -25)) (/.f64 1 (fma.f64 x (+.f64 y z) (.f64 z -5))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x (+.f64 y z) (.f64 z 5)) 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(cbrt.f64 (+.f64 y z)) 2)) (cbrt.f64 (+.f64 y z)) (neg.f64 (-.f64 (.f64 z (.f64 z 25)) (fma.f64 -25 (.f64 z z) (.f64 z (.f64 z 25))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 (+.f64 y z) (.f64 x x)) (sqrt.f64 (+.f64 y z))) (sqrt.f64 (+.f64 y z)) (.f64 (.f64 z z) -25))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 (+.f64 y z) (.f64 x x)) (sqrt.f64 (+.f64 y z))) (sqrt.f64 (+.f64 y z)) (neg.f64 (-.f64 (.f64 z (.f64 z 25)) (fma.f64 -25 (.f64 z z) (.f64 z (.f64 z 25))))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 x y) (.f64 x (+.f64 y z))) (.f64 (.f64 x z) (.f64 x (+.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 y (.f64 (+.f64 y z) (.f64 x x))) (.f64 z (.f64 (+.f64 y z) (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 z (.f64 (+.f64 y z) (.f64 x x))) (.f64 y (.f64 (+.f64 y z) (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 x (+.f64 y z)) (.f64 x y)) (.f64 (.f64 x (+.f64 y z)) (.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (+.f64 y z) (.f64 x x)) y) (.f64 (.f64 (+.f64 y z) (.f64 x x)) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (+.f64 y z) (.f64 x x)) z) (.f64 (.f64 (+.f64 y z) (.f64 x x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (.f64 x (+.f64 y z)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (+.f64 y z) (.f64 x x)) (+.f64 (pow.f64 y 3) (pow.f64 z 3))) (fma.f64 y y (.f64 z (-.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (+.f64 y z) (.f64 x x)) (-.f64 (.f64 y y) (.f64 z z))) (-.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (+.f64 y z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x (+.f64 y z)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 y z))) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x (+.f64 y z)) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 x (+.f64 y z)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (.f64 x (+.f64 y z)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (.f64 x (+.f64 y z)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 x (+.f64 y z)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (.f64 x (+.f64 y z)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (.f64 x (+.f64 y z)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 2 (log.f64 (.f64 x (+.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 x (+.f64 y z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 2 (log.f64 (*.f64 x (+.f64 y z)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 z (.f64 z 25)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 z (.f64 z 25)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 z 5) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 z (.f64 z 25))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (.f64 z z) 3) 15625) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 z 4) 625))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 25) (.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 z (.f64 z 25)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (.f64 z z) 3) 15625))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 z (.f64 z 25))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 z (.f64 z 25))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 z (.f64 z 25))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 z (.f64 z 25))) 1))))))

simplify98.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

615×	`associate-/r*_binary64`
405×	`distribute-rgt-in_binary64`
385×	`cancel-sign-sub-inv_binary64`
382×	`distribute-lft-in_binary64`
315×	`associate-/r/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	206	4248
1	751	3692
2	2783	3462

Stop Event

1×	node limit

Counts

332 → 286

Calls

Call 1

Inputs
(*.f64 5 z)
(+.f64 (.f64 (+.f64 y z) x) (.f64 5 z))
(+.f64 (.f64 (+.f64 y z) x) (.f64 5 z))
(+.f64 (.f64 (+.f64 y z) x) (.f64 5 z))
(*.f64 (+.f64 y z) x)
(+.f64 (.f64 (+.f64 y z) x) (.f64 5 z))
(+.f64 (.f64 (+.f64 y z) x) (.f64 5 z))
(+.f64 (.f64 (+.f64 y z) x) (.f64 5 z))
(*.f64 (+.f64 y z) x)
(+.f64 (.f64 (+.f64 y z) x) (.f64 5 z))
(+.f64 (.f64 (+.f64 y z) x) (.f64 5 z))
(+.f64 (.f64 (+.f64 y z) x) (.f64 5 z))
(/.f64 (-.f64 (.f64 (pow.f64 z 2) (pow.f64 x 2)) (.f64 25 (pow.f64 z 2))) (-.f64 (.f64 z x) (.f64 5 z)))
(-.f64 (+.f64 (.f64 y (-.f64 (.f64 2 (/.f64 (.f64 z (pow.f64 x 2)) (-.f64 (.f64 z x) (.f64 5 z)))) (/.f64 (.f64 (-.f64 (.f64 (pow.f64 z 2) (pow.f64 x 2)) (.f64 25 (pow.f64 z 2))) x) (pow.f64 (-.f64 (.f64 z x) (.f64 5 z)) 2)))) (/.f64 (.f64 (pow.f64 z 2) (pow.f64 x 2)) (-.f64 (.f64 z x) (.f64 5 z)))) (.f64 25 (/.f64 (pow.f64 z 2) (-.f64 (.f64 z x) (.f64 5 z)))))
(-.f64 (+.f64 (.f64 y (-.f64 (.f64 2 (/.f64 (.f64 z (pow.f64 x 2)) (-.f64 (.f64 z x) (.f64 5 z)))) (/.f64 (.f64 (-.f64 (.f64 (pow.f64 z 2) (pow.f64 x 2)) (.f64 25 (pow.f64 z 2))) x) (pow.f64 (-.f64 (.f64 z x) (.f64 5 z)) 2)))) (+.f64 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 x 2)) (-.f64 (.f64 z x) (.f64 5 z))) (.f64 (-.f64 (/.f64 (pow.f64 x 2) (-.f64 (.f64 z x) (.f64 5 z))) (/.f64 (.f64 (-.f64 (.f64 2 (/.f64 (.f64 z (pow.f64 x 2)) (-.f64 (.f64 z x) (.f64 5 z)))) (/.f64 (.f64 (-.f64 (.f64 (pow.f64 z 2) (pow.f64 x 2)) (.f64 25 (pow.f64 z 2))) x) (pow.f64 (-.f64 (.f64 z x) (.f64 5 z)) 2))) x) (-.f64 (.f64 z x) (.f64 5 z)))) (pow.f64 y 2)))) (.f64 25 (/.f64 (pow.f64 z 2) (-.f64 (.f64 z x) (*.f64 5 z)))))
(-.f64 (+.f64 (.f64 y (-.f64 (.f64 2 (/.f64 (.f64 z (pow.f64 x 2)) (-.f64 (.f64 z x) (.f64 5 z)))) (/.f64 (.f64 (-.f64 (.f64 (pow.f64 z 2) (pow.f64 x 2)) (.f64 25 (pow.f64 z 2))) x) (pow.f64 (-.f64 (.f64 z x) (.f64 5 z)) 2)))) (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (/.f64 (pow.f64 x 2) (-.f64 (.f64 z x) (.f64 5 z))) (/.f64 (.f64 x (-.f64 (.f64 2 (/.f64 (.f64 z (pow.f64 x 2)) (-.f64 (.f64 z x) (.f64 5 z)))) (/.f64 (.f64 (-.f64 (.f64 (pow.f64 z 2) (pow.f64 x 2)) (.f64 25 (pow.f64 z 2))) x) (pow.f64 (-.f64 (.f64 z x) (.f64 5 z)) 2)))) (-.f64 (.f64 z x) (.f64 5 z)))) (.f64 (pow.f64 y 3) x)) (-.f64 (.f64 z x) (.f64 5 z)))) (+.f64 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 x 2)) (-.f64 (.f64 z x) (.f64 5 z))) (.f64 (-.f64 (/.f64 (pow.f64 x 2) (-.f64 (.f64 z x) (.f64 5 z))) (/.f64 (.f64 (-.f64 (.f64 2 (/.f64 (.f64 z (pow.f64 x 2)) (-.f64 (.f64 z x) (.f64 5 z)))) (/.f64 (.f64 (-.f64 (.f64 (pow.f64 z 2) (pow.f64 x 2)) (.f64 25 (pow.f64 z 2))) x) (pow.f64 (-.f64 (.f64 z x) (.f64 5 z)) 2))) x) (-.f64 (.f64 z x) (.f64 5 z)))) (pow.f64 y 2))))) (.f64 25 (/.f64 (pow.f64 z 2) (-.f64 (.f64 z x) (.f64 5 z)))))
(*.f64 y x)
(-.f64 (+.f64 (.f64 y x) (+.f64 (.f64 2 (.f64 z x)) (.f64 5 z))) (*.f64 z x))
(-.f64 (+.f64 (.f64 y x) (+.f64 (/.f64 (.f64 (pow.f64 z 2) x) y) (+.f64 (.f64 5 z) (.f64 2 (.f64 z x))))) (+.f64 (.f64 z x) (+.f64 (.f64 25 (/.f64 (pow.f64 z 2) (.f64 y x))) (/.f64 (.f64 (-.f64 (.f64 z x) (.f64 5 z)) (-.f64 (+.f64 (.f64 5 z) (.f64 2 (.f64 z x))) (.f64 z x))) (.f64 y x)))))
(-.f64 (+.f64 (.f64 y x) (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 (pow.f64 z 2) x) (+.f64 (/.f64 (.f64 (-.f64 (.f64 z x) (.f64 5 z)) (-.f64 (+.f64 (.f64 5 z) (.f64 2 (.f64 z x))) (.f64 z x))) x) (.f64 25 (/.f64 (pow.f64 z 2) x)))) (-.f64 (.f64 z x) (.f64 5 z))) (.f64 (pow.f64 y 2) x))) (+.f64 (/.f64 (.f64 (pow.f64 z 2) x) y) (+.f64 (.f64 5 z) (.f64 2 (.f64 z x)))))) (+.f64 (.f64 z x) (+.f64 (.f64 25 (/.f64 (pow.f64 z 2) (.f64 y x))) (/.f64 (.f64 (-.f64 (.f64 z x) (.f64 5 z)) (-.f64 (+.f64 (.f64 5 z) (.f64 2 (.f64 z x))) (.f64 z x))) (.f64 y x)))))
(*.f64 y x)
(-.f64 (+.f64 (.f64 y x) (+.f64 (.f64 2 (.f64 z x)) (.f64 5 z))) (*.f64 z x))
(-.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 (pow.f64 z 2) (pow.f64 x 2)) (.f64 25 (pow.f64 z 2))) x)) (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 z x) (.f64 5 z)) (-.f64 (+.f64 (.f64 5 z) (.f64 2 (.f64 z x))) (.f64 z x))) x))) y)) (+.f64 (.f64 y x) (+.f64 (.f64 5 z) (.f64 2 (.f64 z x))))) (*.f64 z x))
(-.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 (pow.f64 z 2) (pow.f64 x 2)) (.f64 25 (pow.f64 z 2))) x)) (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 z x) (.f64 5 z)) (-.f64 (+.f64 (.f64 5 z) (.f64 2 (.f64 z x))) (.f64 z x))) x))) y)) (+.f64 (.f64 y x) (+.f64 (/.f64 (.f64 (-.f64 (.f64 z x) (.f64 5 z)) (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 (pow.f64 z 2) (pow.f64 x 2)) (.f64 25 (pow.f64 z 2))) x)) (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 z x) (.f64 5 z)) (-.f64 (+.f64 (.f64 5 z) (.f64 2 (.f64 z x))) (.f64 z x))) x)))) (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 5 z) (.f64 2 (.f64 z x)))))) (.f64 z x))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 (-.f64 (+.f64 5 (*.f64 2 x)) x) z))
(+.f64 (.f64 y x) (+.f64 (.f64 (-.f64 (/.f64 x y) (+.f64 (.f64 25 (/.f64 1 (.f64 y x))) (/.f64 (.f64 (-.f64 x 5) (-.f64 (+.f64 5 (.f64 2 x)) x)) (.f64 y x)))) (pow.f64 z 2)) (.f64 (-.f64 (+.f64 5 (*.f64 2 x)) x) z)))
(+.f64 (.f64 y x) (+.f64 (.f64 (-.f64 (/.f64 x y) (+.f64 (.f64 25 (/.f64 1 (.f64 y x))) (/.f64 (.f64 (-.f64 x 5) (-.f64 (+.f64 5 (.f64 2 x)) x)) (.f64 y x)))) (pow.f64 z 2)) (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 x 5) (.f64 (-.f64 (/.f64 x y) (+.f64 (.f64 25 (/.f64 1 (.f64 y x))) (/.f64 (.f64 (-.f64 x 5) (-.f64 (+.f64 5 (.f64 2 x)) x)) (.f64 y x)))) (pow.f64 z 3))) (.f64 y x))) (.f64 (-.f64 (+.f64 5 (.f64 2 x)) x) z))))
(/.f64 (*.f64 z (-.f64 (pow.f64 x 2) 25)) (-.f64 x 5))
(-.f64 (+.f64 (/.f64 (.f64 z (-.f64 (pow.f64 x 2) 25)) (-.f64 x 5)) (.f64 2 (/.f64 (.f64 y (pow.f64 x 2)) (-.f64 x 5)))) (/.f64 (.f64 y (*.f64 (-.f64 (pow.f64 x 2) 25) x)) (pow.f64 (-.f64 x 5) 2)))
(-.f64 (+.f64 (/.f64 (.f64 (pow.f64 y 2) (pow.f64 x 2)) (.f64 (-.f64 x 5) z)) (+.f64 (/.f64 (.f64 z (-.f64 (pow.f64 x 2) 25)) (-.f64 x 5)) (.f64 2 (/.f64 (.f64 y (pow.f64 x 2)) (-.f64 x 5))))) (+.f64 (/.f64 (.f64 y (.f64 x (-.f64 (pow.f64 x 2) 25))) (pow.f64 (-.f64 x 5) 2)) (/.f64 (.f64 y (.f64 (-.f64 (.f64 2 (/.f64 (.f64 y (pow.f64 x 2)) (-.f64 x 5))) (/.f64 (.f64 y (.f64 x (-.f64 (pow.f64 x 2) 25))) (pow.f64 (-.f64 x 5) 2))) x)) (.f64 (-.f64 x 5) z))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 y (.f64 (-.f64 (/.f64 (.f64 (pow.f64 y 2) (pow.f64 x 2)) (-.f64 x 5)) (/.f64 (.f64 y (.f64 (-.f64 (.f64 2 (/.f64 (.f64 y (pow.f64 x 2)) (-.f64 x 5))) (/.f64 (.f64 y (.f64 x (-.f64 (pow.f64 x 2) 25))) (pow.f64 (-.f64 x 5) 2))) x)) (-.f64 x 5))) x)) (.f64 (-.f64 x 5) (pow.f64 z 2)))) (+.f64 (/.f64 (.f64 (pow.f64 y 2) (pow.f64 x 2)) (.f64 (-.f64 x 5) z)) (+.f64 (/.f64 (.f64 z (-.f64 (pow.f64 x 2) 25)) (-.f64 x 5)) (.f64 2 (/.f64 (.f64 y (pow.f64 x 2)) (-.f64 x 5)))))) (+.f64 (/.f64 (.f64 y (.f64 x (-.f64 (pow.f64 x 2) 25))) (pow.f64 (-.f64 x 5) 2)) (/.f64 (.f64 y (.f64 (-.f64 (.f64 2 (/.f64 (.f64 y (pow.f64 x 2)) (-.f64 x 5))) (/.f64 (.f64 y (.f64 x (-.f64 (pow.f64 x 2) 25))) (pow.f64 (-.f64 x 5) 2))) x)) (*.f64 (-.f64 x 5) z))))
(.f64 -1 (/.f64 (.f64 z (-.f64 (pow.f64 x 2) 25)) (+.f64 5 (*.f64 -1 x))))
(-.f64 (+.f64 (.f64 -2 (/.f64 (.f64 y (pow.f64 x 2)) (+.f64 5 (.f64 -1 x)))) (.f64 -1 (/.f64 (.f64 z (-.f64 (pow.f64 x 2) 25)) (+.f64 5 (.f64 -1 x))))) (/.f64 (.f64 y (.f64 (-.f64 (pow.f64 x 2) 25) x)) (pow.f64 (+.f64 5 (*.f64 -1 x)) 2)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 (/.f64 (.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 5 (.f64 -1 x))) (/.f64 (.f64 (-.f64 (.f64 -2 (/.f64 (.f64 y (pow.f64 x 2)) (+.f64 5 (.f64 -1 x)))) (/.f64 (.f64 y (.f64 x (-.f64 (pow.f64 x 2) 25))) (pow.f64 (+.f64 5 (.f64 -1 x)) 2))) (.f64 y x)) (+.f64 5 (.f64 -1 x)))) z)) (+.f64 (.f64 -2 (/.f64 (.f64 y (pow.f64 x 2)) (+.f64 5 (.f64 -1 x)))) (.f64 -1 (/.f64 (.f64 z (-.f64 (pow.f64 x 2) 25)) (+.f64 5 (.f64 -1 x)))))) (/.f64 (.f64 y (.f64 x (-.f64 (pow.f64 x 2) 25))) (pow.f64 (+.f64 5 (*.f64 -1 x)) 2)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 (/.f64 (.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 5 (.f64 -1 x))) (/.f64 (.f64 (-.f64 (.f64 -2 (/.f64 (.f64 y (pow.f64 x 2)) (+.f64 5 (.f64 -1 x)))) (/.f64 (.f64 y (.f64 x (-.f64 (pow.f64 x 2) 25))) (pow.f64 (+.f64 5 (.f64 -1 x)) 2))) (.f64 y x)) (+.f64 5 (.f64 -1 x)))) z)) (+.f64 (.f64 -2 (/.f64 (.f64 y (pow.f64 x 2)) (+.f64 5 (.f64 -1 x)))) (+.f64 (.f64 -1 (/.f64 (.f64 y (.f64 (-.f64 (/.f64 (.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 5 (.f64 -1 x))) (/.f64 (.f64 (-.f64 (.f64 -2 (/.f64 (.f64 y (pow.f64 x 2)) (+.f64 5 (.f64 -1 x)))) (/.f64 (.f64 y (.f64 x (-.f64 (pow.f64 x 2) 25))) (pow.f64 (+.f64 5 (.f64 -1 x)) 2))) (.f64 y x)) (+.f64 5 (.f64 -1 x)))) x)) (.f64 (pow.f64 z 2) (+.f64 5 (.f64 -1 x))))) (.f64 -1 (/.f64 (.f64 z (-.f64 (pow.f64 x 2) 25)) (+.f64 5 (.f64 -1 x))))))) (/.f64 (.f64 y (.f64 x (-.f64 (pow.f64 x 2) 25))) (pow.f64 (+.f64 5 (*.f64 -1 x)) 2)))
(*.f64 -25 (pow.f64 z 2))
(+.f64 (.f64 (pow.f64 (+.f64 y z) 2) (pow.f64 x 2)) (.f64 -25 (pow.f64 z 2)))
(+.f64 (.f64 (pow.f64 (+.f64 y z) 2) (pow.f64 x 2)) (.f64 -25 (pow.f64 z 2)))
(+.f64 (.f64 (pow.f64 (+.f64 y z) 2) (pow.f64 x 2)) (.f64 -25 (pow.f64 z 2)))
(*.f64 (pow.f64 (+.f64 y z) 2) (pow.f64 x 2))
(+.f64 (.f64 (pow.f64 (+.f64 y z) 2) (pow.f64 x 2)) (.f64 -25 (pow.f64 z 2)))
(+.f64 (.f64 (pow.f64 (+.f64 y z) 2) (pow.f64 x 2)) (.f64 -25 (pow.f64 z 2)))
(+.f64 (.f64 (pow.f64 (+.f64 y z) 2) (pow.f64 x 2)) (.f64 -25 (pow.f64 z 2)))
(*.f64 (pow.f64 (+.f64 y z) 2) (pow.f64 x 2))
(+.f64 (.f64 (pow.f64 (+.f64 y z) 2) (pow.f64 x 2)) (.f64 -25 (pow.f64 z 2)))
(+.f64 (.f64 (pow.f64 (+.f64 y z) 2) (pow.f64 x 2)) (.f64 -25 (pow.f64 z 2)))
(+.f64 (.f64 (pow.f64 (+.f64 y z) 2) (pow.f64 x 2)) (.f64 -25 (pow.f64 z 2)))
(-.f64 (.f64 (pow.f64 z 2) (pow.f64 x 2)) (.f64 25 (pow.f64 z 2)))
(-.f64 (+.f64 (.f64 (pow.f64 z 2) (pow.f64 x 2)) (.f64 2 (.f64 y (.f64 z (pow.f64 x 2))))) (*.f64 25 (pow.f64 z 2)))
(-.f64 (+.f64 (.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (.f64 (pow.f64 z 2) (pow.f64 x 2)) (.f64 2 (.f64 y (.f64 z (pow.f64 x 2)))))) (.f64 25 (pow.f64 z 2)))
(-.f64 (+.f64 (.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (.f64 (pow.f64 z 2) (pow.f64 x 2)) (.f64 2 (.f64 y (.f64 z (pow.f64 x 2)))))) (.f64 25 (pow.f64 z 2)))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(+.f64 (.f64 (pow.f64 y 2) (pow.f64 x 2)) (.f64 2 (.f64 y (.f64 z (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 (pow.f64 z 2) (pow.f64 x 2)) (+.f64 (.f64 (pow.f64 y 2) (pow.f64 x 2)) (.f64 2 (.f64 y (.f64 z (pow.f64 x 2)))))) (.f64 25 (pow.f64 z 2)))
(-.f64 (+.f64 (.f64 (pow.f64 z 2) (pow.f64 x 2)) (+.f64 (.f64 (pow.f64 y 2) (pow.f64 x 2)) (.f64 2 (.f64 y (.f64 z (pow.f64 x 2)))))) (.f64 25 (pow.f64 z 2)))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(+.f64 (.f64 (pow.f64 y 2) (pow.f64 x 2)) (.f64 2 (.f64 y (.f64 z (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 (pow.f64 z 2) (pow.f64 x 2)) (+.f64 (.f64 (pow.f64 y 2) (pow.f64 x 2)) (.f64 2 (.f64 y (.f64 z (pow.f64 x 2)))))) (.f64 25 (pow.f64 z 2)))
(-.f64 (+.f64 (.f64 (pow.f64 z 2) (pow.f64 x 2)) (+.f64 (.f64 (pow.f64 y 2) (pow.f64 x 2)) (.f64 2 (.f64 y (.f64 z (pow.f64 x 2)))))) (.f64 25 (pow.f64 z 2)))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(+.f64 (.f64 (pow.f64 y 2) (pow.f64 x 2)) (.f64 2 (.f64 y (.f64 z (pow.f64 x 2)))))
(+.f64 (.f64 (pow.f64 z 2) (-.f64 (pow.f64 x 2) 25)) (+.f64 (.f64 (pow.f64 y 2) (pow.f64 x 2)) (.f64 2 (.f64 y (*.f64 z (pow.f64 x 2))))))
(+.f64 (.f64 (pow.f64 z 2) (-.f64 (pow.f64 x 2) 25)) (+.f64 (.f64 (pow.f64 y 2) (pow.f64 x 2)) (.f64 2 (.f64 y (*.f64 z (pow.f64 x 2))))))
(*.f64 (pow.f64 z 2) (-.f64 (pow.f64 x 2) 25))
(+.f64 (.f64 (pow.f64 z 2) (-.f64 (pow.f64 x 2) 25)) (.f64 2 (.f64 y (.f64 z (pow.f64 x 2)))))
(+.f64 (.f64 (pow.f64 z 2) (-.f64 (pow.f64 x 2) 25)) (+.f64 (.f64 (pow.f64 y 2) (pow.f64 x 2)) (.f64 2 (.f64 y (*.f64 z (pow.f64 x 2))))))
(+.f64 (.f64 (pow.f64 z 2) (-.f64 (pow.f64 x 2) 25)) (+.f64 (.f64 (pow.f64 y 2) (pow.f64 x 2)) (.f64 2 (.f64 y (*.f64 z (pow.f64 x 2))))))
(*.f64 (pow.f64 z 2) (-.f64 (pow.f64 x 2) 25))
(+.f64 (.f64 (pow.f64 z 2) (-.f64 (pow.f64 x 2) 25)) (.f64 2 (.f64 y (.f64 z (pow.f64 x 2)))))
(+.f64 (.f64 (pow.f64 z 2) (-.f64 (pow.f64 x 2) 25)) (+.f64 (.f64 (pow.f64 y 2) (pow.f64 x 2)) (.f64 2 (.f64 y (*.f64 z (pow.f64 x 2))))))
(+.f64 (.f64 (pow.f64 z 2) (-.f64 (pow.f64 x 2) 25)) (+.f64 (.f64 (pow.f64 y 2) (pow.f64 x 2)) (.f64 2 (.f64 y (*.f64 z (pow.f64 x 2))))))
(*.f64 (pow.f64 (+.f64 y z) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (+.f64 y z) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (+.f64 y z) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (+.f64 y z) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (+.f64 y z) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (+.f64 y z) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (+.f64 y z) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (+.f64 y z) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (+.f64 y z) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (+.f64 y z) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (+.f64 y z) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (+.f64 y z) 2) (pow.f64 x 2))
(*.f64 (pow.f64 z 2) (pow.f64 x 2))
(+.f64 (.f64 (pow.f64 z 2) (pow.f64 x 2)) (.f64 2 (.f64 y (.f64 z (pow.f64 x 2)))))
(+.f64 (.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (.f64 (pow.f64 z 2) (pow.f64 x 2)) (.f64 2 (.f64 y (*.f64 z (pow.f64 x 2))))))
(+.f64 (.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (.f64 (pow.f64 z 2) (pow.f64 x 2)) (.f64 2 (.f64 y (*.f64 z (pow.f64 x 2))))))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(+.f64 (.f64 (pow.f64 y 2) (pow.f64 x 2)) (.f64 2 (.f64 y (.f64 z (pow.f64 x 2)))))
(+.f64 (.f64 (pow.f64 z 2) (pow.f64 x 2)) (+.f64 (.f64 (pow.f64 y 2) (pow.f64 x 2)) (.f64 2 (.f64 y (*.f64 z (pow.f64 x 2))))))
(+.f64 (.f64 (pow.f64 z 2) (pow.f64 x 2)) (+.f64 (.f64 (pow.f64 y 2) (pow.f64 x 2)) (.f64 2 (.f64 y (*.f64 z (pow.f64 x 2))))))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(+.f64 (.f64 (pow.f64 y 2) (pow.f64 x 2)) (.f64 2 (.f64 y (.f64 z (pow.f64 x 2)))))
(+.f64 (.f64 (pow.f64 z 2) (pow.f64 x 2)) (+.f64 (.f64 (pow.f64 y 2) (pow.f64 x 2)) (.f64 2 (.f64 y (*.f64 z (pow.f64 x 2))))))
(+.f64 (.f64 (pow.f64 z 2) (pow.f64 x 2)) (+.f64 (.f64 (pow.f64 y 2) (pow.f64 x 2)) (.f64 2 (.f64 y (*.f64 z (pow.f64 x 2))))))
(*.f64 (pow.f64 y 2) (pow.f64 x 2))
(+.f64 (.f64 (pow.f64 y 2) (pow.f64 x 2)) (.f64 2 (.f64 y (.f64 z (pow.f64 x 2)))))
(+.f64 (.f64 (pow.f64 z 2) (pow.f64 x 2)) (+.f64 (.f64 (pow.f64 y 2) (pow.f64 x 2)) (.f64 2 (.f64 y (*.f64 z (pow.f64 x 2))))))
(+.f64 (.f64 (pow.f64 z 2) (pow.f64 x 2)) (+.f64 (.f64 (pow.f64 y 2) (pow.f64 x 2)) (.f64 2 (.f64 y (*.f64 z (pow.f64 x 2))))))
(*.f64 (pow.f64 z 2) (pow.f64 x 2))
(+.f64 (.f64 (pow.f64 z 2) (pow.f64 x 2)) (.f64 2 (.f64 y (.f64 z (pow.f64 x 2)))))
(+.f64 (.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (.f64 (pow.f64 z 2) (pow.f64 x 2)) (.f64 2 (.f64 y (*.f64 z (pow.f64 x 2))))))
(+.f64 (.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (.f64 (pow.f64 z 2) (pow.f64 x 2)) (.f64 2 (.f64 y (*.f64 z (pow.f64 x 2))))))
(*.f64 (pow.f64 z 2) (pow.f64 x 2))
(+.f64 (.f64 (pow.f64 z 2) (pow.f64 x 2)) (.f64 2 (.f64 y (.f64 z (pow.f64 x 2)))))
(+.f64 (.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (.f64 (pow.f64 z 2) (pow.f64 x 2)) (.f64 2 (.f64 y (*.f64 z (pow.f64 x 2))))))
(+.f64 (.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (.f64 (pow.f64 z 2) (pow.f64 x 2)) (.f64 2 (.f64 y (*.f64 z (pow.f64 x 2))))))
(*.f64 25 (pow.f64 z 2))
(*.f64 25 (pow.f64 z 2))
(*.f64 25 (pow.f64 z 2))
(*.f64 25 (pow.f64 z 2))
(*.f64 25 (pow.f64 z 2))
(*.f64 25 (pow.f64 z 2))
(*.f64 25 (pow.f64 z 2))
(*.f64 25 (pow.f64 z 2))
(*.f64 25 (pow.f64 z 2))
(*.f64 25 (pow.f64 z 2))
(*.f64 25 (pow.f64 z 2))
(*.f64 25 (pow.f64 z 2))

Outputs
(*.f64 5 z)
(+.f64 (.f64 (+.f64 y z) x) (.f64 5 z))
(fma.f64 (+.f64 z y) x (*.f64 5 z))
(fma.f64 5 z (*.f64 (+.f64 z y) x))
(+.f64 (.f64 (+.f64 y z) x) (.f64 5 z))
(fma.f64 (+.f64 z y) x (*.f64 5 z))
(fma.f64 5 z (*.f64 (+.f64 z y) x))
(+.f64 (.f64 (+.f64 y z) x) (.f64 5 z))
(fma.f64 (+.f64 z y) x (*.f64 5 z))
(fma.f64 5 z (*.f64 (+.f64 z y) x))
(*.f64 (+.f64 y z) x)
(*.f64 (+.f64 z y) x)
(+.f64 (.f64 (+.f64 y z) x) (.f64 5 z))
(fma.f64 (+.f64 z y) x (*.f64 5 z))
(fma.f64 5 z (*.f64 (+.f64 z y) x))
(+.f64 (.f64 (+.f64 y z) x) (.f64 5 z))
(fma.f64 (+.f64 z y) x (*.f64 5 z))
(fma.f64 5 z (*.f64 (+.f64 z y) x))
(+.f64 (.f64 (+.f64 y z) x) (.f64 5 z))
(fma.f64 (+.f64 z y) x (*.f64 5 z))
(fma.f64 5 z (*.f64 (+.f64 z y) x))
(*.f64 (+.f64 y z) x)
(*.f64 (+.f64 z y) x)
(+.f64 (.f64 (+.f64 y z) x) (.f64 5 z))
(fma.f64 (+.f64 z y) x (*.f64 5 z))
(fma.f64 5 z (*.f64 (+.f64 z y) x))
(+.f64 (.f64 (+.f64 y z) x) (.f64 5 z))
(fma.f64 (+.f64 z y) x (*.f64 5 z))
(fma.f64 5 z (*.f64 (+.f64 z y) x))
(+.f64 (.f64 (+.f64 y z) x) (.f64 5 z))
(fma.f64 (+.f64 z y) x (*.f64 5 z))
(fma.f64 5 z (*.f64 (+.f64 z y) x))
(/.f64 (-.f64 (.f64 (pow.f64 z 2) (pow.f64 x 2)) (.f64 25 (pow.f64 z 2))) (-.f64 (.f64 z x) (.f64 5 z)))
(/.f64 (fma.f64 (.f64 z z) (.f64 x x) (neg.f64 (.f64 (.f64 z z) 25))) (+.f64 (.f64 z x) (.f64 -5 z)))
(/.f64 (.f64 z (.f64 z (fma.f64 x x -25))) (*.f64 z (+.f64 x -5)))
(.f64 (.f64 (/.f64 (/.f64 z z) (+.f64 x -5)) z) (fma.f64 x x -25))
(-.f64 (+.f64 (.f64 y (-.f64 (.f64 2 (/.f64 (.f64 z (pow.f64 x 2)) (-.f64 (.f64 z x) (.f64 5 z)))) (/.f64 (.f64 (-.f64 (.f64 (pow.f64 z 2) (pow.f64 x 2)) (.f64 25 (pow.f64 z 2))) x) (pow.f64 (-.f64 (.f64 z x) (.f64 5 z)) 2)))) (/.f64 (.f64 (pow.f64 z 2) (pow.f64 x 2)) (-.f64 (.f64 z x) (.f64 5 z)))) (.f64 25 (/.f64 (pow.f64 z 2) (-.f64 (.f64 z x) (.f64 5 z)))))
(+.f64 (.f64 y (-.f64 (.f64 2 (/.f64 z (/.f64 (+.f64 (.f64 z x) (.f64 -5 z)) (.f64 x x)))) (/.f64 (fma.f64 (.f64 z z) (.f64 x x) (neg.f64 (.f64 (.f64 z z) 25))) (/.f64 (pow.f64 (+.f64 (.f64 z x) (.f64 -5 z)) 2) x)))) (/.f64 (fma.f64 (.f64 z z) (.f64 x x) (neg.f64 (.f64 (.f64 z z) 25))) (+.f64 (.f64 z x) (*.f64 -5 z))))
(fma.f64 y (-.f64 (.f64 2 (/.f64 z (/.f64 z (/.f64 (.f64 x x) (+.f64 x -5))))) (.f64 (/.f64 (.f64 z (.f64 z (fma.f64 x x -25))) (pow.f64 (.f64 z (+.f64 x -5)) 2)) x)) (/.f64 (.f64 z (.f64 z (fma.f64 x x -25))) (*.f64 z (+.f64 x -5))))
(fma.f64 y (fma.f64 2 (/.f64 (/.f64 z (/.f64 z x)) (-.f64 1 (/.f64 5 x))) (/.f64 (.f64 (fma.f64 x x -25) (.f64 z (neg.f64 z))) (/.f64 (pow.f64 (.f64 z (+.f64 x -5)) 2) x))) (.f64 (*.f64 (/.f64 (/.f64 z z) (+.f64 x -5)) z) (fma.f64 x x -25)))
(-.f64 (+.f64 (.f64 y (-.f64 (.f64 2 (/.f64 (.f64 z (pow.f64 x 2)) (-.f64 (.f64 z x) (.f64 5 z)))) (/.f64 (.f64 (-.f64 (.f64 (pow.f64 z 2) (pow.f64 x 2)) (.f64 25 (pow.f64 z 2))) x) (pow.f64 (-.f64 (.f64 z x) (.f64 5 z)) 2)))) (+.f64 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 x 2)) (-.f64 (.f64 z x) (.f64 5 z))) (.f64 (-.f64 (/.f64 (pow.f64 x 2) (-.f64 (.f64 z x) (.f64 5 z))) (/.f64 (.f64 (-.f64 (.f64 2 (/.f64 (.f64 z (pow.f64 x 2)) (-.f64 (.f64 z x) (.f64 5 z)))) (/.f64 (.f64 (-.f64 (.f64 (pow.f64 z 2) (pow.f64 x 2)) (.f64 25 (pow.f64 z 2))) x) (pow.f64 (-.f64 (.f64 z x) (.f64 5 z)) 2))) x) (-.f64 (.f64 z x) (.f64 5 z)))) (pow.f64 y 2)))) (.f64 25 (/.f64 (pow.f64 z 2) (-.f64 (.f64 z x) (*.f64 5 z)))))
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(fma.f64 y (-.f64 (.f64 2 (/.f64 z (/.f64 z (/.f64 (.f64 x x) (+.f64 x -5))))) (.f64 (/.f64 (.f64 z (.f64 z (fma.f64 x x -25))) (pow.f64 (.f64 z (+.f64 x -5)) 2)) x)) (+.f64 (.f64 y (.f64 y (-.f64 (/.f64 x (/.f64 (.f64 z (+.f64 x -5)) x)) (.f64 (/.f64 x (.f64 z (+.f64 x -5))) (-.f64 (.f64 2 (/.f64 z (/.f64 z (/.f64 (.f64 x x) (+.f64 x -5))))) (.f64 (/.f64 (.f64 z (.f64 z (fma.f64 x x -25))) (pow.f64 (.f64 z (+.f64 x -5)) 2)) x)))))) (/.f64 (.f64 z (.f64 z (fma.f64 x x -25))) (.f64 z (+.f64 x -5)))))
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(+.f64 (.f64 (pow.f64 z 2) (pow.f64 x 2)) (.f64 2 (.f64 y (.f64 z (pow.f64 x 2)))))
(fma.f64 (.f64 z z) (.f64 x x) (.f64 2 (.f64 (.f64 y z) (.f64 x x))))
(fma.f64 2 (.f64 (.f64 x x) (.f64 z y)) (.f64 (.f64 z z) (.f64 x x)))
(.f64 (.f64 z (.f64 x x)) (+.f64 z (.f64 y 2)))
(+.f64 (.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (.f64 (pow.f64 z 2) (pow.f64 x 2)) (.f64 2 (.f64 y (*.f64 z (pow.f64 x 2))))))
(fma.f64 (.f64 y y) (.f64 x x) (fma.f64 (.f64 z z) (.f64 x x) (.f64 2 (.f64 (.f64 y z) (.f64 x x)))))
(+.f64 (.f64 2 (.f64 (.f64 x x) (.f64 z y))) (.f64 (.f64 x x) (+.f64 (.f64 y y) (.f64 z z))))
(fma.f64 (.f64 x x) (.f64 y y) (.f64 (.f64 z (.f64 x x)) (+.f64 z (.f64 y 2))))
(+.f64 (.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (.f64 (pow.f64 z 2) (pow.f64 x 2)) (.f64 2 (.f64 y (*.f64 z (pow.f64 x 2))))))
(fma.f64 (.f64 y y) (.f64 x x) (fma.f64 (.f64 z z) (.f64 x x) (.f64 2 (.f64 (.f64 y z) (.f64 x x)))))
(+.f64 (.f64 2 (.f64 (.f64 x x) (.f64 z y))) (.f64 (.f64 x x) (+.f64 (.f64 y y) (.f64 z z))))
(fma.f64 (.f64 x x) (.f64 y y) (.f64 (.f64 z (.f64 x x)) (+.f64 z (.f64 y 2))))
(*.f64 (pow.f64 z 2) (pow.f64 x 2))
(.f64 (.f64 z z) (*.f64 x x))
(.f64 z (.f64 z (*.f64 x x)))
(+.f64 (.f64 (pow.f64 z 2) (pow.f64 x 2)) (.f64 2 (.f64 y (.f64 z (pow.f64 x 2)))))
(fma.f64 (.f64 z z) (.f64 x x) (.f64 2 (.f64 (.f64 y z) (.f64 x x))))
(fma.f64 2 (.f64 (.f64 x x) (.f64 z y)) (.f64 (.f64 z z) (.f64 x x)))
(.f64 (.f64 z (.f64 x x)) (+.f64 z (.f64 y 2)))
(+.f64 (.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (.f64 (pow.f64 z 2) (pow.f64 x 2)) (.f64 2 (.f64 y (*.f64 z (pow.f64 x 2))))))
(fma.f64 (.f64 y y) (.f64 x x) (fma.f64 (.f64 z z) (.f64 x x) (.f64 2 (.f64 (.f64 y z) (.f64 x x)))))
(+.f64 (.f64 2 (.f64 (.f64 x x) (.f64 z y))) (.f64 (.f64 x x) (+.f64 (.f64 y y) (.f64 z z))))
(fma.f64 (.f64 x x) (.f64 y y) (.f64 (.f64 z (.f64 x x)) (+.f64 z (.f64 y 2))))
(+.f64 (.f64 (pow.f64 y 2) (pow.f64 x 2)) (+.f64 (.f64 (pow.f64 z 2) (pow.f64 x 2)) (.f64 2 (.f64 y (*.f64 z (pow.f64 x 2))))))
(fma.f64 (.f64 y y) (.f64 x x) (fma.f64 (.f64 z z) (.f64 x x) (.f64 2 (.f64 (.f64 y z) (.f64 x x)))))
(+.f64 (.f64 2 (.f64 (.f64 x x) (.f64 z y))) (.f64 (.f64 x x) (+.f64 (.f64 y y) (.f64 z z))))
(fma.f64 (.f64 x x) (.f64 y y) (.f64 (.f64 z (.f64 x x)) (+.f64 z (.f64 y 2))))
(*.f64 25 (pow.f64 z 2))
(.f64 (.f64 z z) 25)
(.f64 z (.f64 z 25))
(*.f64 25 (pow.f64 z 2))
(.f64 (.f64 z z) 25)
(.f64 z (.f64 z 25))
(*.f64 25 (pow.f64 z 2))
(.f64 (.f64 z z) 25)
(.f64 z (.f64 z 25))
(*.f64 25 (pow.f64 z 2))
(.f64 (.f64 z z) 25)
(.f64 z (.f64 z 25))
(*.f64 25 (pow.f64 z 2))
(.f64 (.f64 z z) 25)
(.f64 z (.f64 z 25))
(*.f64 25 (pow.f64 z 2))
(.f64 (.f64 z z) 25)
(.f64 z (.f64 z 25))
(*.f64 25 (pow.f64 z 2))
(.f64 (.f64 z z) 25)
(.f64 z (.f64 z 25))
(*.f64 25 (pow.f64 z 2))
(.f64 (.f64 z z) 25)
(.f64 z (.f64 z 25))
(*.f64 25 (pow.f64 z 2))
(.f64 (.f64 z z) 25)
(.f64 z (.f64 z 25))
(*.f64 25 (pow.f64 z 2))
(.f64 (.f64 z z) 25)
(.f64 z (.f64 z 25))
(*.f64 25 (pow.f64 z 2))
(.f64 (.f64 z z) 25)
(.f64 z (.f64 z 25))
(*.f64 25 (pow.f64 z 2))
(.f64 (.f64 z z) 25)
(.f64 z (.f64 z 25))

eval436.0ms (6.4%)

Compiler: Compiled 25277 to 14843 computations (41.3% saved)

prune373.0ms (5.4%)

Pruning

14 alts after pruning (5 fresh and 9 done)

	Pruned	Kept	Total
New	980	5	985
Fresh	0	0	0
Picked	1	0	1
Done	3	9	12
Total	984	14	998

Error

Counts

998 → 14

Alt Table

Click to see full alt table

Status	Error	Program
	26.6b	(/.f64 (/.f64 z (-.f64 5 x)) (/.f64 1 (-.f64 25 (*.f64 x x))))
	35.0b	(/.f64 25 (/.f64 (-.f64 5 x) z))
✓	0.1b	(+.f64 (.f64 x (+.f64 y z)) (.f64 z 5))
	22.6b	(/.f64 (+.f64 x 5) (/.f64 1 z))
✓	35.1b	(/.f64 (*.f64 z 25) (-.f64 5 x))
✓	40.3b	(*.f64 y x)
	26.6b	(/.f64 (-.f64 25 (*.f64 x x)) (/.f64 (-.f64 5 x) z))
✓	50.0b	(*.f64 z x)
	49.6b	(/.f64 (.f64 z (.f64 z -25)) (-.f64 (.f64 x (+.f64 y z)) (.f64 z 5)))
✓	0.1b	(fma.f64 x (+.f64 y z) (*.f64 z 5))
✓	35.0b	(*.f64 5 z)
✓	28.3b	(*.f64 (+.f64 z y) x)
✓	22.4b	(*.f64 z (+.f64 5 x))
✓	22.4b	(+.f64 (.f64 z x) (.f64 z 5))

Compiler

Compiled 145 to 104 computations (28.3% saved)

regimes167.0ms (2.4%)

Counts

22 → 1

Calls

Call 1

Inputs
(*.f64 z x)
(*.f64 y x)
(*.f64 5 z)
(*.f64 z (+.f64 5 x))
(*.f64 (+.f64 z y) x)
(/.f64 25 (/.f64 (-.f64 5 x) z))
(/.f64 (+.f64 x 5) (/.f64 1 z))
(/.f64 (*.f64 z 25) (-.f64 5 x))
(+.f64 (.f64 z x) (.f64 z 5))
(+.f64 (.f64 x (+.f64 y z)) (.f64 z 5))
(/.f64 (-.f64 25 (*.f64 x x)) (/.f64 (-.f64 5 x) z))
(/.f64 (.f64 (-.f64 25 (.f64 x x)) z) (-.f64 5 x))
(/.f64 (/.f64 z (-.f64 5 x)) (/.f64 1 (-.f64 25 (*.f64 x x))))
(.f64 (/.f64 (-.f64 25 (.f64 x x)) 1) (/.f64 z (-.f64 5 x)))
(/.f64 (.f64 z (.f64 z -25)) (-.f64 (.f64 x (+.f64 y z)) (.f64 z 5)))
(-.f64 (/.f64 25 (/.f64 (-.f64 5 x) z)) (/.f64 (*.f64 x x) (/.f64 (-.f64 5 x) z)))
(/.f64 (-.f64 (.f64 (.f64 x (+.f64 y z)) (.f64 x (+.f64 y z))) (.f64 25 (.f64 z z))) (-.f64 (.f64 x (+.f64 y z)) (*.f64 z 5)))
(fma.f64 z 5 (*.f64 z x))
(fma.f64 z (+.f64 x 5) (*.f64 y x))
(fma.f64 z 5 (*.f64 x (+.f64 y z)))
(fma.f64 x (+.f64 y z) (*.f64 z 5))
(+.f64 (fma.f64 z x (.f64 x y)) (.f64 z 5))

Outputs
(fma.f64 z 5 (*.f64 x (+.f64 y z)))

Calls

4 calls:

77.0ms	x
28.0ms	(+.f64 (.f64 x (+.f64 y z)) (.f64 z 5))
26.0ms	y
24.0ms	z

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`y`
0.0b	1	`z`
0.0b	1	`(+.f64 (.f64 x (+.f64 y z)) (.f64 z 5))`

Compiler

Compiled 230 to 122 computations (47% saved)

regimes228.0ms (3.3%)

Counts

19 → 1

Calls

Call 1

Inputs
(*.f64 z x)
(*.f64 y x)
(*.f64 5 z)
(*.f64 z (+.f64 5 x))
(*.f64 (+.f64 z y) x)
(/.f64 25 (/.f64 (-.f64 5 x) z))
(/.f64 (+.f64 x 5) (/.f64 1 z))
(/.f64 (*.f64 z 25) (-.f64 5 x))
(+.f64 (.f64 z x) (.f64 z 5))
(+.f64 (.f64 x (+.f64 y z)) (.f64 z 5))
(/.f64 (-.f64 25 (*.f64 x x)) (/.f64 (-.f64 5 x) z))
(/.f64 (.f64 (-.f64 25 (.f64 x x)) z) (-.f64 5 x))
(/.f64 (/.f64 z (-.f64 5 x)) (/.f64 1 (-.f64 25 (*.f64 x x))))
(.f64 (/.f64 (-.f64 25 (.f64 x x)) 1) (/.f64 z (-.f64 5 x)))
(/.f64 (.f64 z (.f64 z -25)) (-.f64 (.f64 x (+.f64 y z)) (.f64 z 5)))
(-.f64 (/.f64 25 (/.f64 (-.f64 5 x) z)) (/.f64 (*.f64 x x) (/.f64 (-.f64 5 x) z)))
(/.f64 (-.f64 (.f64 (.f64 x (+.f64 y z)) (.f64 x (+.f64 y z))) (.f64 25 (.f64 z z))) (-.f64 (.f64 x (+.f64 y z)) (*.f64 z 5)))
(fma.f64 z 5 (*.f64 z x))
(fma.f64 z (+.f64 x 5) (*.f64 y x))

Outputs
(fma.f64 z (+.f64 x 5) (*.f64 y x))

Calls

4 calls:

143.0ms	y
28.0ms	(+.f64 (.f64 x (+.f64 y z)) (.f64 z 5))
25.0ms	z
22.0ms	x

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`y`
0.0b	1	`z`
0.0b	1	`(+.f64 (.f64 x (+.f64 y z)) (.f64 z 5))`

Compiler

Compiled 204 to 112 computations (45.1% saved)

regimes76.0ms (1.1%)

Counts

18 → 1

Calls

Call 1

Inputs
(*.f64 z x)
(*.f64 y x)
(*.f64 5 z)
(*.f64 z (+.f64 5 x))
(*.f64 (+.f64 z y) x)
(/.f64 25 (/.f64 (-.f64 5 x) z))
(/.f64 (+.f64 x 5) (/.f64 1 z))
(/.f64 (*.f64 z 25) (-.f64 5 x))
(+.f64 (.f64 z x) (.f64 z 5))
(+.f64 (.f64 x (+.f64 y z)) (.f64 z 5))
(/.f64 (-.f64 25 (*.f64 x x)) (/.f64 (-.f64 5 x) z))
(/.f64 (.f64 (-.f64 25 (.f64 x x)) z) (-.f64 5 x))
(/.f64 (/.f64 z (-.f64 5 x)) (/.f64 1 (-.f64 25 (*.f64 x x))))
(.f64 (/.f64 (-.f64 25 (.f64 x x)) 1) (/.f64 z (-.f64 5 x)))
(/.f64 (.f64 z (.f64 z -25)) (-.f64 (.f64 x (+.f64 y z)) (.f64 z 5)))
(-.f64 (/.f64 25 (/.f64 (-.f64 5 x) z)) (/.f64 (*.f64 x x) (/.f64 (-.f64 5 x) z)))
(/.f64 (-.f64 (.f64 (.f64 x (+.f64 y z)) (.f64 x (+.f64 y z))) (.f64 25 (.f64 z z))) (-.f64 (.f64 x (+.f64 y z)) (*.f64 z 5)))
(fma.f64 z 5 (*.f64 z x))

Outputs
(+.f64 (.f64 x (+.f64 y z)) (.f64 z 5))

Calls

4 calls:

22.0ms	(+.f64 (.f64 x (+.f64 y z)) (.f64 z 5))
21.0ms	z
11.0ms	y
9.0ms	x

Results

Error	Segments	Branch
0.1b	1	`x`
0.1b	1	`y`
0.1b	1	`z`
0.1b	1	`(+.f64 (.f64 x (+.f64 y z)) (.f64 z 5))`

Compiler

Compiled 196 to 109 computations (44.4% saved)

regimes62.0ms (0.9%)

Counts

9 → 3

Calls

Call 1

Inputs
(*.f64 z x)
(*.f64 y x)
(*.f64 5 z)
(*.f64 z (+.f64 5 x))
(*.f64 (+.f64 z y) x)
(/.f64 25 (/.f64 (-.f64 5 x) z))
(/.f64 (+.f64 x 5) (/.f64 1 z))
(/.f64 (*.f64 z 25) (-.f64 5 x))
(+.f64 (.f64 z x) (.f64 z 5))

Outputs
(+.f64 (.f64 z x) (.f64 z 5))
(*.f64 (+.f64 z y) x)
(+.f64 (.f64 z x) (.f64 z 5))

Calls

3 calls:

21.0ms	z
21.0ms	y
16.0ms	x

Results

Error	Segments	Branch
11.5b	3	`x`
16.6b	3	`y`
11.4b	3	`z`

Compiler

Compiled 62 to 39 computations (37.1% saved)

bsearch40.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
21.0ms	3.772754161080676e-49	8.19837079122887e-41
18.0ms	-1.6950565496523817e-14	-5.624490816124314e-24

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes57.0ms (0.8%)

Counts

8 → 3

Calls

Call 1

Inputs
(*.f64 z x)
(*.f64 y x)
(*.f64 5 z)
(*.f64 z (+.f64 5 x))
(*.f64 (+.f64 z y) x)
(/.f64 25 (/.f64 (-.f64 5 x) z))
(/.f64 (+.f64 x 5) (/.f64 1 z))
(/.f64 (*.f64 z 25) (-.f64 5 x))

Outputs
(*.f64 z (+.f64 5 x))
(*.f64 (+.f64 z y) x)
(*.f64 z (+.f64 5 x))

Calls

3 calls:

20.0ms	z
19.0ms	y
14.0ms	x

Results

Error	Segments	Branch
11.5b	3	`x`
16.6b	3	`y`
11.4b	3	`z`

Compiler

Compiled 55 to 36 computations (34.5% saved)

bsearch40.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
21.0ms	3.772754161080676e-49	8.19837079122887e-41
19.0ms	-1.6950565496523817e-14	-5.624490816124314e-24

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes113.0ms (1.6%)

Counts

4 → 3

Calls

Call 1

Inputs
(*.f64 z x)
(*.f64 y x)
(*.f64 5 z)
(*.f64 z (+.f64 5 x))

Outputs
(*.f64 z (+.f64 5 x))
(*.f64 y x)
(*.f64 z (+.f64 5 x))

Calls

3 calls:

54.0ms	y
39.0ms	x
17.0ms	z

Results

Error	Segments	Branch
19.4b	5	`x`
16.2b	6	`y`
12.5b	3	`z`

Compiler

Compiled 29 to 19 computations (34.5% saved)

bsearch73.0ms (1.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
35.0ms	3.1983772000709783e-190	2.1084401145850146e-188
37.0ms	-2.72546431864727e-180	-1.8575096138687166e-180

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes224.0ms (3.3%)

Counts

3 → 5

Calls

Call 1

Inputs
(*.f64 z x)
(*.f64 y x)
(*.f64 5 z)

Outputs
(*.f64 z x)
(*.f64 y x)
(*.f64 5 z)
(*.f64 y x)
(*.f64 z x)

Calls

3 calls:

94.0ms	z
92.0ms	x
35.0ms	y

Results

Error	Segments	Branch
19.5b	5	`x`
27.8b	5	`y`
21.7b	7	`z`

Compiler

Compiled 24 to 16 computations (33.3% saved)

bsearch192.0ms (2.8%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
81.0ms	5.1634105134968475e+116	2.3930323760444677e+117
37.0ms	2.368437938656694e-33	1.3310869847660688e-13
37.0ms	-2.956768271475151e-56	-2.0246244759701537e-57
37.0ms	-3.7644105263790963e+34	-5.959633014977475e+26

Compiler

Compiled 102 to 73 computations (28.4% saved)

regimes67.0ms (1%)

Accuracy

Total -28.0b remaining (-82.1%)

Threshold costs -28.0b (-82.1%)

Counts

2 → 3

Calls

Call 1

Inputs
(*.f64 z x)
(*.f64 y x)

Outputs
(*.f64 y x)
(*.f64 z x)
(*.f64 y x)

Calls

3 calls:

26.0ms	x
20.0ms	z
19.0ms	y

Results

Error	Segments	Branch
36.4b	3	`x`
34.1b	3	`y`
35.6b	3	`z`

Compiler

Compiled 21 to 14 computations (33.3% saved)

bsearch81.0ms (1.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
40.0ms	5.470923883743339e-218	7.015974321174085e-214
40.0ms	-2.7833487649445906e-81	-5.008437273482613e-83

Compiler

Compiled 18 to 13 computations (27.8% saved)

simplify54.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`
4×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	209
1	64	209

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f64 z 5 (*.f64 x (+.f64 y z)))
(fma.f64 z (+.f64 x 5) (*.f64 y x))
(+.f64 (.f64 x (+.f64 y z)) (.f64 z 5))
(if (<=.f64 z -5371848631469083/316912650057057350374175801344) (+.f64 (.f64 z x) (.f64 z 5)) (if (<=.f64 z 4966467332568637/13164036458569648337239753460458804039861886925068638906788872192) (.f64 (+.f64 z y) x) (+.f64 (.f64 z x) (*.f64 z 5))))
(if (<=.f64 z -5371848631469083/316912650057057350374175801344) (.f64 z (+.f64 5 x)) (if (<=.f64 z 4966467332568637/13164036458569648337239753460458804039861886925068638906788872192) (.f64 (+.f64 z y) x) (*.f64 z (+.f64 5 x))))
(if (<=.f64 z -6366601783949469/2335969596222563951944279862118549158345332995711262684456546569164428885610842821891027359394494156686664862501680336543072616817344224255105362595697773664385021273272455654442431586430261133312) (.f64 z (+.f64 5 x)) (if (<=.f64 z 6417808050837371/20065826040452474621738395244141115820123061381619162977212070095324448220432589806036630768881181530864650607514107580997541169167266097500334986765487216377087492641938951866881041556870737904629872328704) (.f64 y x) (*.f64 z (+.f64 5 x))))
(if (<=.f64 x -37644105263790962946148934499696640) (.f64 z x) (if (<=.f64 x -6530196677107159/220855883097298041197912187592864814478435487109452369765200775161577472) (.f64 y x) (if (<=.f64 x 3461475925263387/1461501637330902918203684832716283019655932542976) (.f64 5 z) (if (<=.f64 x 2350000000000000027815625005115033409540264374294008907006283140439609640034093477032903669502857809145032051947208704) (.f64 y x) (*.f64 z x)))))
(if (<=.f64 y -2972598439184061/1067993517960455041197510853084776057301352261178326384973520803911109862890320275011481043468288) (.f64 y x) (if (<=.f64 y 1358993329777855/24840289476811342962383671815400040884110176273867145778224832608416815242982030181294054541258343647207803691154097171298745280705837030263108596400658898227271279616333598488804244570105575117204207987099463500014285549661056925696) (.f64 z x) (*.f64 y x)))
(*.f64 z x)

Outputs
(fma.f64 z 5 (*.f64 x (+.f64 y z)))
(fma.f64 z 5 (*.f64 x (+.f64 z y)))
(fma.f64 z (+.f64 x 5) (*.f64 y x))
(fma.f64 z (+.f64 5 x) (*.f64 x y))
(+.f64 (.f64 x (+.f64 y z)) (.f64 z 5))
(+.f64 (.f64 x (+.f64 z y)) (.f64 z 5))
(if (<=.f64 z -5371848631469083/316912650057057350374175801344) (+.f64 (.f64 z x) (.f64 z 5)) (if (<=.f64 z 4966467332568637/13164036458569648337239753460458804039861886925068638906788872192) (.f64 (+.f64 z y) x) (+.f64 (.f64 z x) (*.f64 z 5))))
(if (<=.f64 z -5371848631469083/316912650057057350374175801344) (+.f64 (.f64 z 5) (.f64 z x)) (if (<=.f64 z 4966467332568637/13164036458569648337239753460458804039861886925068638906788872192) (.f64 x (+.f64 z y)) (+.f64 (.f64 z 5) (*.f64 z x))))
(if (<=.f64 z -5371848631469083/316912650057057350374175801344) (.f64 z (+.f64 5 x)) (if (<=.f64 z 4966467332568637/13164036458569648337239753460458804039861886925068638906788872192) (.f64 (+.f64 z y) x) (*.f64 z (+.f64 5 x))))
(if (<=.f64 z -5371848631469083/316912650057057350374175801344) (.f64 z (+.f64 5 x)) (if (<=.f64 z 4966467332568637/13164036458569648337239753460458804039861886925068638906788872192) (.f64 x (+.f64 z y)) (*.f64 z (+.f64 5 x))))
(if (<=.f64 z -6366601783949469/2335969596222563951944279862118549158345332995711262684456546569164428885610842821891027359394494156686664862501680336543072616817344224255105362595697773664385021273272455654442431586430261133312) (.f64 z (+.f64 5 x)) (if (<=.f64 z 6417808050837371/20065826040452474621738395244141115820123061381619162977212070095324448220432589806036630768881181530864650607514107580997541169167266097500334986765487216377087492641938951866881041556870737904629872328704) (.f64 y x) (*.f64 z (+.f64 5 x))))
(if (<=.f64 z -6366601783949469/2335969596222563951944279862118549158345332995711262684456546569164428885610842821891027359394494156686664862501680336543072616817344224255105362595697773664385021273272455654442431586430261133312) (.f64 z (+.f64 5 x)) (if (<=.f64 z 6417808050837371/20065826040452474621738395244141115820123061381619162977212070095324448220432589806036630768881181530864650607514107580997541169167266097500334986765487216377087492641938951866881041556870737904629872328704) (.f64 x y) (*.f64 z (+.f64 5 x))))
(if (<=.f64 x -37644105263790962946148934499696640) (.f64 z x) (if (<=.f64 x -6530196677107159/220855883097298041197912187592864814478435487109452369765200775161577472) (.f64 y x) (if (<=.f64 x 3461475925263387/1461501637330902918203684832716283019655932542976) (.f64 5 z) (if (<=.f64 x 2350000000000000027815625005115033409540264374294008907006283140439609640034093477032903669502857809145032051947208704) (.f64 y x) (*.f64 z x)))))
(if (<=.f64 x -37644105263790962946148934499696640) (.f64 z x) (if (<=.f64 x -6530196677107159/220855883097298041197912187592864814478435487109452369765200775161577472) (.f64 x y) (if (<=.f64 x 3461475925263387/1461501637330902918203684832716283019655932542976) (.f64 z 5) (if (<=.f64 x 2350000000000000027815625005115033409540264374294008907006283140439609640034093477032903669502857809145032051947208704) (.f64 x y) (*.f64 z x)))))
(if (<=.f64 y -2972598439184061/1067993517960455041197510853084776057301352261178326384973520803911109862890320275011481043468288) (.f64 y x) (if (<=.f64 y 1358993329777855/24840289476811342962383671815400040884110176273867145778224832608416815242982030181294054541258343647207803691154097171298745280705837030263108596400658898227271279616333598488804244570105575117204207987099463500014285549661056925696) (.f64 z x) (*.f64 y x)))
(if (<=.f64 y -2972598439184061/1067993517960455041197510853084776057301352261178326384973520803911109862890320275011481043468288) (.f64 x y) (if (<=.f64 y 1358993329777855/24840289476811342962383671815400040884110176273867145778224832608416815242982030181294054541258343647207803691154097171298745280705837030263108596400658898227271279616333598488804244570105575117204207987099463500014285549661056925696) (.f64 z x) (*.f64 x y)))
(*.f64 z x)

Compiler

Compiled 174 to 107 computations (38.5% saved)

soundness0.0ms (0%)

end81.0ms (1.2%)

Compiler: Compiled 150 to 71 computations (52.7% saved)