Details

analyze405.0ms (6.1%)

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)

sample1.4s (20.8%)

Results

1.1s	7989×	body	256	valid
139.0ms	1308×	body	256	infinite
42.0ms	170×	body	1024	valid
16.0ms	97×	body	512	valid

Bogosity

preprocess19.0ms (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)

simplify12.0ms (0.2%)

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)

prune1.0ms (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)

localize9.0ms (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)

series8.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

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

rewrite91.0ms (1.4%)

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))))))

simplify60.0ms (0.9%)

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)

localize56.0ms (0.9%)

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)

series4.0ms (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))
0.0ms	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	x	@	inf	(fma.f64 x (+.f64 y z) (*.f64 z 5))

rewrite58.0ms (0.9%)

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))))))))

simplify50.0ms (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)))

eval67.0ms (1%)

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

prune34.0ms (0.5%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	174	10	184
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	175	11	186

Error

0.0b

Counts

186 → 11

Alt Table

Click to see full alt table

Status	Error	Program
▶	28.1b	(/.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)))
▶	22.3b	(*.f64 z (+.f64 5 x))
✓	0.1b	(fma.f64 x (+.f64 y z) (*.f64 z 5))
▶	35.3b	(*.f64 5 z)
▶	22.3b	(+.f64 (.f64 z x) (.f64 z 5))
▶	0.0b	(fma.f64 z 5 (*.f64 x (+.f64 y z)))
	0.1b	(+.f64 (.f64 y x) (.f64 z (+.f64 5 x)))
	40.8b	(*.f64 y x)
	30.9b	(fma.f64 (.f64 5 (sqrt.f64 z)) (sqrt.f64 z) (.f64 x (+.f64 y z)))
	27.6b	(*.f64 (+.f64 z y) x)
	29.1b	(pow.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 z 5))) 2)

Compiler

Compiled 251 to 157 computations (37.5% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(*.f64 x (+.f64 y z))
✓	0.1b	(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
1.0ms	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	x	@	-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)))

rewrite61.0ms (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)))))))))

simplify50.0ms (0.8%)

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))

localize4.0ms (0.1%)

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

localize6.0ms (0.1%)

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)

series5.0ms (0.1%)

Counts

1 → 12

Calls

6 calls:

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

rewrite54.0ms (0.8%)

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))))))

simplify10.0ms (0.1%)

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))

localize52.0ms (0.8%)

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)

series3.0ms (0%)

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))
0.0ms	z	@	-inf	(+.f64 (.f64 z x) (.f64 z 5))
0.0ms	x	@	-inf	(+.f64 (.f64 z x) (.f64 z 5))
0.0ms	x	@	0	(+.f64 (.f64 z x) (.f64 z 5))

rewrite57.0ms (0.9%)

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))))))

simplify22.0ms (0.3%)

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))

localize30.0ms (0.5%)

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)))
✓	4.6b	(-.f64 (.f64 (.f64 x (+.f64 y z)) (.f64 x (+.f64 y z))) (.f64 25 (*.f64 z z)))
✓	26.6b	(/.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)))

Compiler

Compiled 91 to 26 computations (71.4% saved)

series22.0ms (0.3%)

Counts

4 → 120

Calls

30 calls:

Time	Variable		Point	Expression
3.0ms	z	@	-inf	(-.f64 (.f64 (.f64 x (+.f64 y z)) (.f64 x (+.f64 y z))) (.f64 25 (*.f64 z z)))
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)))
1.0ms	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)))

rewrite143.0ms (2.2%)

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)) 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 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 x (+.f64 y z)) 2) (.f64 (.f64 z z) -25))) 2) (.f64 (cbrt.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 (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 (hypot.f64 (.f64 x (+.f64 y z)) (sqrt.f64 (.f64 (.f64 z z) -25))) (.f64 (hypot.f64 (.f64 x (+.f64 y z)) (sqrt.f64 (.f64 (.f64 z z) -25))) (/.f64 1 (fma.f64 x (+.f64 y z) (.f64 z -5)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (+.f64 (pow.f64 (.f64 x (+.f64 y z)) 2) (.f64 (.f64 z z) -25))) (/.f64 1 (neg.f64 (fma.f64 x (+.f64 y z) (.f64 z -5)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (fma.f64 x (+.f64 y z) (.f64 z -5))) (+.f64 (pow.f64 (.f64 x (+.f64 y z)) 2) (.f64 (.f64 z z) -25)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 x (+.f64 y z)) 2) (.f64 (.f64 z z) -25))) 2) 1) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 x (+.f64 y z)) 2) (.f64 (.f64 z z) -25))) (fma.f64 x (+.f64 y z) (.f64 z -5))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (hypot.f64 (.f64 x (+.f64 y z)) (sqrt.f64 (.f64 (.f64 z z) -25))) 1) (/.f64 (hypot.f64 (.f64 x (+.f64 y z)) (sqrt.f64 (.f64 (.f64 z z) -25))) (fma.f64 x (+.f64 y z) (.f64 z -5))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y z) (.f64 z -5))) 2)) (/.f64 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((#(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))))))

simplify115.0ms (1.7%)

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

eval240.0ms (3.6%)

Compiler: Compiled 12416 to 6100 computations (50.9% saved)

prune156.0ms (2.4%)

Pruning

14 alts after pruning (9 fresh and 5 done)

	Pruned	Kept	Total
New	449	8	457
Fresh	4	1	5
Picked	1	0	1
Done	0	5	5
Total	454	14	468

Error

Counts

468 → 14

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(fma.f64 x (+.f64 y z) (*.f64 z 5))
	28.0b	(.f64 (.f64 (/.f64 (/.f64 z z) (+.f64 x -5)) z) (fma.f64 x x -25))
✓	35.3b	(*.f64 5 z)
▶	27.6b	(*.f64 (+.f64 z y) x)
▶	47.3b	(/.f64 (.f64 z (.f64 z -25)) (-.f64 (.f64 x (+.f64 y z)) (.f64 z 5)))
✓	22.3b	(+.f64 (.f64 z x) (.f64 z 5))
▶	40.8b	(*.f64 y x)
✓	22.3b	(*.f64 z (+.f64 5 x))
	29.4b	(/.f64 (.f64 (-.f64 25 (.f64 x x)) z) (-.f64 5 x))
✓	0.0b	(fma.f64 z 5 (*.f64 x (+.f64 y z)))
▶	0.1b	(+.f64 (.f64 y x) (.f64 z (+.f64 5 x)))
	56.8b	(/.f64 (.f64 x (.f64 x (.f64 y y))) (-.f64 (.f64 x (+.f64 y z)) (*.f64 z 5)))
	49.5b	(*.f64 z x)
▶	22.2b	(fma.f64 z 5 (*.f64 z x))

Compiler

Compiled 266 to 176 computations (33.8% saved)

localize23.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 27 to 14 computations (48.1% saved)

series6.0ms (0.1%)

Counts

1 → 18

Calls

9 calls:

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

rewrite81.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

509×	`log-prod_binary64`
450×	`fma-def_binary64`
385×	`pow-prod-down_binary64`
377×	`exp-prod_binary64`
277×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	206	11
2	2983	11

Stop Event

1×	node limit

Counts

1 → 84

Calls

Call 1

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

Outputs

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

simplify45.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

303×	`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	19	150
1	47	150
2	108	150
3	265	150
4	563	150
5	904	150
6	1295	150
7	1473	150
8	1489	150

Stop Event

1×

saturated

Counts

102 → 95

Calls

Call 1

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

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

localize4.0ms (0.1%)

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

localize5.0ms (0.1%)

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)

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite59.0ms (0.9%)

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)))))))

simplify11.0ms (0.2%)

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))

localize19.0ms (0.3%)

Local error

Found 4 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))
✓	0.1b	(.f64 z (.f64 z -25))
✓	15.5b	(/.f64 (.f64 z (.f64 z -25)) (-.f64 (.f64 x (+.f64 y z)) (.f64 z 5)))

Compiler

Compiled 51 to 24 computations (52.9% saved)

series18.0ms (0.3%)

Counts

3 → 84

Calls

21 calls:

Time	Variable		Point	Expression
4.0ms	y	@	-inf	(-.f64 (.f64 x (+.f64 y z)) (.f64 z 5))
2.0ms	y	@	inf	(/.f64 (.f64 z (.f64 z -25)) (-.f64 (.f64 x (+.f64 y z)) (.f64 z 5)))
1.0ms	z	@	0	(/.f64 (.f64 z (.f64 z -25)) (-.f64 (.f64 x (+.f64 y z)) (.f64 z 5)))
1.0ms	y	@	0	(/.f64 (.f64 z (.f64 z -25)) (-.f64 (.f64 x (+.f64 y z)) (.f64 z 5)))
1.0ms	x	@	inf	(/.f64 (.f64 z (.f64 z -25)) (-.f64 (.f64 x (+.f64 y z)) (.f64 z 5)))

rewrite114.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

834×	`log-prod_binary64`
632×	`fma-def_binary64`
316×	`fma-neg_binary64`
273×	`expm1-udef_binary64`
273×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	42
1	308	38
2	4577	38

Stop Event

1×	node limit

Counts

3 → 257

Calls

Call 1

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

Outputs

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

simplify114.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

851×	`fma-def_binary64`
625×	`associate-*l/_binary64`
619×	`associate-*r/_binary64`
365×	`associate-/r/_binary64`
348×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	173	2328
1	598	2218
2	2642	2178

Stop Event

1×	node limit

Counts

341 → 327

Calls

Call 1

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

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

localize9.0ms (0.1%)

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	@	inf	(fma.f64 z 5 (*.f64 z x))

rewrite47.0ms (0.7%)

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))))))))

simplify23.0ms (0.3%)

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))

eval199.0ms (3%)

Compiler: Compiled 11987 to 6490 computations (45.9% saved)

prune125.0ms (1.9%)

Pruning

13 alts after pruning (7 fresh and 6 done)

	Pruned	Kept	Total
New	557	5	562
Fresh	2	2	4
Picked	0	1	1
Done	4	5	9
Total	563	13	576

Error

Counts

576 → 13

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(fma.f64 x (+.f64 y z) (*.f64 z 5))
▶	35.1b	(/.f64 (*.f64 z 25) (-.f64 5 x))
✓	35.3b	(*.f64 5 z)
✓	27.6b	(*.f64 (+.f64 z y) x)
▶	13.9b	(+.f64 (.f64 y x) (.f64 5 z))
	56.8b	(/.f64 (.f64 x (.f64 x (.f64 y y))) (-.f64 (.f64 x (+.f64 y z)) (*.f64 z 5)))
✓	40.8b	(*.f64 y x)
✓	22.3b	(*.f64 z (+.f64 5 x))
	47.2b	(/.f64 (.f64 z (.f64 z -25)) (*.f64 z -5))
▶	35.2b	(*.f64 -25 (/.f64 z (-.f64 x 5)))
▶	27.6b	(+.f64 (.f64 z x) (.f64 y x))
▶	49.5b	(*.f64 z x)
✓	22.2b	(fma.f64 z 5 (*.f64 z x))

Compiler

Compiled 204 to 141 computations (30.9% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 20 to 10 computations (50% saved)

series3.0ms (0%)

Counts

1 → 9

Calls

9 calls:

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

rewrite112.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

882×	`pow1_binary64`
820×	`add-log-exp_binary64`
820×	`log1p-expm1-u_binary64`
820×	`expm1-log1p-u_binary64`
803×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	8
1	170	8
2	2229	8

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

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

Outputs

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

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	36
1	9	36

Stop Event

1×

saturated

Counts

46 → 39

Calls

Call 1

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

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

localize3.0ms (0.1%)

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

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 -25 (/.f64 z (-.f64 x 5)))

Compiler

Compiled 22 to 15 computations (31.8% saved)

series4.0ms (0.1%)

Counts

1 → 12

Calls

6 calls:

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

rewrite80.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

966×	`pow1_binary64`
905×	`add-log-exp_binary64`
905×	`log1p-expm1-u_binary64`
905×	`expm1-log1p-u_binary64`
92×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	181	10
2	2349	10

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

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

simplify57.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

674×	`distribute-lft-out_binary64`
667×	`associate-/l*_binary64`
646×	`fma-def_binary64`
534×	`associate-/l/_binary64`
502×	`associate-*l/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	41	234
1	110	233
2	285	206
3	810	188
4	3083	188
5	7327	188

Stop Event

1×	node limit

Counts

33 → 36

Calls

Call 1

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

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 19 to 6 computations (68.4% saved)

series3.0ms (0%)

Counts

1 → 18

Calls

9 calls:

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

rewrite181.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

836×	`pow1_binary64`
774×	`add-log-exp_binary64`
774×	`log1p-expm1-u_binary64`
774×	`expm1-log1p-u_binary64`
757×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	151	7
2	2106	7

Stop Event

1×	node limit

Counts

1 → 41

Calls

Call 1

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

Outputs

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

simplify24.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

90×	`fma-neg_binary64`
85×	`fma-def_binary64`
42×	`cancel-sign-sub-inv_binary64`
40×	`distribute-rgt-in_binary64`
34×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	108
1	31	108
2	76	108
3	210	108
4	434	108
5	567	108
6	677	108
7	682	108

Stop Event

1×

saturated

Counts

59 → 47

Calls

Call 1

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

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

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (*.f64 z 25) (-.f64 5 x))

Compiler

Compiled 20 to 14 computations (30% saved)

series4.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite69.0ms (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)))))))

simplify59.0ms (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))))

eval110.0ms (1.7%)

Compiler: Compiled 3321 to 2186 computations (34.2% saved)

prune41.0ms (0.6%)

Pruning

13 alts after pruning (3 fresh and 10 done)

	Pruned	Kept	Total
New	244	2	246
Fresh	1	1	2
Picked	0	1	1
Done	1	9	10
Total	246	13	259

Error

Counts

259 → 13

Alt Table

Click to see full alt table

Status	Error	Program
✓	40.8b	(*.f64 y x)
	13.9b	(fma.f64 y x (*.f64 5 z))
✓	35.3b	(*.f64 5 z)
✓	27.6b	(*.f64 (+.f64 z y) x)
✓	13.9b	(+.f64 (.f64 y x) (.f64 5 z))
	56.8b	(/.f64 (.f64 x (.f64 x (.f64 y y))) (-.f64 (.f64 x (+.f64 y z)) (*.f64 z 5)))
✓	35.1b	(/.f64 (*.f64 z 25) (-.f64 5 x))
	35.1b	(/.f64 25 (/.f64 (-.f64 5 x) z))
✓	22.3b	(*.f64 z (+.f64 5 x))
✓	35.2b	(*.f64 -25 (/.f64 z (-.f64 x 5)))
✓	27.6b	(+.f64 (.f64 z x) (.f64 y x))
✓	49.5b	(*.f64 z x)
✓	22.2b	(fma.f64 z 5 (*.f64 z x))

Compiler

Compiled 122 to 85 computations (30.3% saved)

regimes118.0ms (1.8%)

Counts

27 → 1

Calls

Call 1

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

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

Calls

4 calls:

58.0ms	x
27.0ms	(+.f64 (.f64 x (+.f64 y z)) (.f64 z 5))
14.0ms	y
13.0ms	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 258 to 124 computations (51.9% saved)

regimes57.0ms (0.9%)

Counts

22 → 1

Calls

Call 1

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

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

Calls

4 calls:

13.0ms	(+.f64 (.f64 x (+.f64 y z)) (.f64 z 5))
13.0ms	y
13.0ms	x
12.0ms	z

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 205 to 101 computations (50.7% saved)

regimes264.0ms (4%)

Counts

14 → 3

Calls

Call 1

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

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

Calls

3 calls:

202.0ms	z
36.0ms	y
22.0ms	x

Results

Error	Segments	Branch
0.8b	3	`x`
6.6b	5	`y`
7.7b	5	`z`

Compiler

Compiled 93 to 49 computations (47.3% saved)

bsearch36.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	7.188935652812031e-8	5.1373146190018725e+25
17.0ms	-489738.6868603319	-0.0015450263468456977

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes84.0ms (1.3%)

Counts

9 → 3

Calls

Call 1

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

37.0ms	y
28.0ms	x
17.0ms	z

Results

Error	Segments	Branch
12.1b	5	`x`
10.9b	7	`y`
10.0b	3	`z`

Compiler

Compiled 56 to 31 computations (44.6% saved)

bsearch37.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
19.0ms	7.577528198026621e-118	3.557976269210973e-113
18.0ms	-0.007169721633182441	-2.942380679457562e-9

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes137.0ms (2.1%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

3 calls:

90.0ms	y
23.0ms	x
22.0ms	z

Results

Error	Segments	Branch
13.4b	3	`x`
20.5b	7	`y`
16.8b	5	`z`

Compiler

Compiled 32 to 18 computations (43.8% saved)

bsearch119.0ms (1.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
32.0ms	7.188935652812031e-8	5.1373146190018725e+25
87.0ms	-3.797146978481231e-81	-1.5988855079674578e-88

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes213.0ms (3.2%)

Counts

4 → 4

Calls

Call 1

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

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

Calls

3 calls:

119.0ms	y
53.0ms	z
39.0ms	x

Results

Error	Segments	Branch
21.8b	4	`x`
23.7b	7	`y`
22.2b	4	`z`

Compiler

Compiled 27 to 16 computations (40.7% saved)

bsearch176.0ms (2.7%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
31.0ms	7.188935652812031e-8	5.1373146190018725e+25
78.0ms	-3.797146978481231e-81	-1.5988855079674578e-88
63.0ms	-1.6761756924967943e+80	-5.305162377182561e+79

Compiler

Compiled 88 to 63 computations (28.4% saved)

regimes131.0ms (2%)

Accuracy

Total -26.8b remaining (-76.1%)

Threshold costs -26.8b (-76.1%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

3 calls:

78.0ms	z
32.0ms	x
20.0ms	y

Results

Error	Segments	Branch
36.1b	3	`x`
35.2b	3	`y`
35.9b	3	`z`

Compiler

Compiled 21 to 14 computations (33.3% saved)

bsearch72.0ms (1.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
36.0ms	6.303170625798505e-10	10874.237567698154
36.0ms	-3.523350323892091e-236	-1.6767695161232425e-243

Compiler

Compiled 18 to 13 computations (27.8% saved)

simplify16.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	185
1	55	185

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f64 z 5 (*.f64 x (+.f64 y z)))
(+.f64 (.f64 y x) (.f64 z (+.f64 5 x)))
(if (<=.f64 x -4206823287302221/8589934592) (.f64 (+.f64 z y) x) (if (<=.f64 x 678975775486923/9444732965739290427392) (+.f64 (.f64 y x) (.f64 5 z)) (.f64 (+.f64 z y) x)))
(if (<=.f64 z -258316445404405/36028797018963968) (.f64 z (+.f64 5 x)) (if (<=.f64 z 4302844475599733/5678427533559428832416592249125035424637823130369672345949142181098744438385921275985867583701277855943457200048954515105739075223552) (.f64 (+.f64 z y) x) (*.f64 z (+.f64 5 x))))
(if (<=.f64 x -2027664179880541/533996758980227520598755426542388028650676130589163192486760401955554931445160137505740521734144) (.f64 (+.f64 z y) x) (if (<=.f64 x 678975775486923/9444732965739290427392) (.f64 5 z) (*.f64 (+.f64 z y) x)))
(if (<=.f64 x -53999999999999999224527139428339429095812089010320194521278052320766135407476736) (.f64 z x) (if (<=.f64 x -2027664179880541/533996758980227520598755426542388028650676130589163192486760401955554931445160137505740521734144) (.f64 y x) (if (<=.f64 x 678975775486923/9444732965739290427392) (.f64 5 z) (.f64 z x))))
(if (<=.f64 y -4036195655882929/114555615673899844817675135734699353962886956688682610117765798809244256021411616637381137063298513501717438036875998880297587443028293506801780104166258318482051497231916848409067205045915915104980160032926980989903722214426950334461435148425897181184) (.f64 y x) (if (<=.f64 y 3048026285985725/4835703278458516698824704) (.f64 z x) (*.f64 y x)))
(*.f64 y x)

Outputs
(fma.f64 z 5 (*.f64 x (+.f64 y z)))
(fma.f64 z 5 (*.f64 x (+.f64 z y)))
(+.f64 (.f64 y x) (.f64 z (+.f64 5 x)))
(+.f64 (.f64 x y) (.f64 z (+.f64 5 x)))
(if (<=.f64 x -4206823287302221/8589934592) (.f64 (+.f64 z y) x) (if (<=.f64 x 678975775486923/9444732965739290427392) (+.f64 (.f64 y x) (.f64 5 z)) (.f64 (+.f64 z y) x)))
(if (<=.f64 x -4206823287302221/8589934592) (.f64 x (+.f64 z y)) (if (<=.f64 x 678975775486923/9444732965739290427392) (+.f64 (.f64 x y) (.f64 z 5)) (.f64 x (+.f64 z y))))
(if (<=.f64 z -258316445404405/36028797018963968) (.f64 z (+.f64 5 x)) (if (<=.f64 z 4302844475599733/5678427533559428832416592249125035424637823130369672345949142181098744438385921275985867583701277855943457200048954515105739075223552) (.f64 (+.f64 z y) x) (*.f64 z (+.f64 5 x))))
(if (<=.f64 z -258316445404405/36028797018963968) (.f64 z (+.f64 5 x)) (if (<=.f64 z 4302844475599733/5678427533559428832416592249125035424637823130369672345949142181098744438385921275985867583701277855943457200048954515105739075223552) (.f64 x (+.f64 z y)) (*.f64 z (+.f64 5 x))))
(if (<=.f64 x -2027664179880541/533996758980227520598755426542388028650676130589163192486760401955554931445160137505740521734144) (.f64 (+.f64 z y) x) (if (<=.f64 x 678975775486923/9444732965739290427392) (.f64 5 z) (*.f64 (+.f64 z y) x)))
(if (<=.f64 x -2027664179880541/533996758980227520598755426542388028650676130589163192486760401955554931445160137505740521734144) (.f64 x (+.f64 z y)) (if (<=.f64 x 678975775486923/9444732965739290427392) (.f64 z 5) (*.f64 x (+.f64 z y))))
(if (<=.f64 x -53999999999999999224527139428339429095812089010320194521278052320766135407476736) (.f64 z x) (if (<=.f64 x -2027664179880541/533996758980227520598755426542388028650676130589163192486760401955554931445160137505740521734144) (.f64 y x) (if (<=.f64 x 678975775486923/9444732965739290427392) (.f64 5 z) (.f64 z x))))
(if (<=.f64 x -53999999999999999224527139428339429095812089010320194521278052320766135407476736) (.f64 z x) (if (<=.f64 x -2027664179880541/533996758980227520598755426542388028650676130589163192486760401955554931445160137505740521734144) (.f64 x y) (if (<=.f64 x 678975775486923/9444732965739290427392) (.f64 z 5) (.f64 z x))))
(if (<=.f64 y -4036195655882929/114555615673899844817675135734699353962886956688682610117765798809244256021411616637381137063298513501717438036875998880297587443028293506801780104166258318482051497231916848409067205045915915104980160032926980989903722214426950334461435148425897181184) (.f64 y x) (if (<=.f64 y 3048026285985725/4835703278458516698824704) (.f64 z x) (*.f64 y x)))
(if (<=.f64 y -4036195655882929/114555615673899844817675135734699353962886956688682610117765798809244256021411616637381137063298513501717438036875998880297587443028293506801780104166258318482051497231916848409067205045915915104980160032926980989903722214426950334461435148425897181184) (.f64 x y) (if (<=.f64 y 3048026285985725/4835703278458516698824704) (.f64 z x) (*.f64 x y)))
(*.f64 y x)
(*.f64 x y)

Compiler

Compiled 154 to 91 computations (40.9% saved)

soundness0.0ms (0%)

end160.0ms (2.4%)

Compiler: Compiled 133 to 59 computations (55.6% saved)