Details

analyze192.0ms (2.8%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
25%	71%	4%	9
34.3%	59.3%	6.4%	10
41.3%	52%	6.7%	11
46.8%	43.8%	9.4%	12

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample948.0ms (14%)

Results

761.0ms	7962×	body	256	valid
116.0ms	1240×	body	256	invalid
40.0ms	180×	body	1024	valid
18.0ms	114×	body	512	valid

preprocess22.0ms (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)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 20 to 11 computations (45% saved)

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)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 27 to 11 computations (59.3% saved)

series9.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

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

rewrite74.0ms (1.1%)

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

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

Outputs

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

simplify127.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

356×	`fma-neg_binary64`
318×	`fma-def_binary64`
84×	`cancel-sign-sub-inv_binary64`
56×	`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	342	582
5	615	582
6	1196	582
7	1582	582
8	1632	582
9	1638	582

Stop Event

1×

saturated

Counts

209 → 152

Calls

Call 1

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

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 21 to 10 computations (52.4% saved)

series5.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite197.0ms (2.9%)

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))))))))

simplify85.0ms (1.3%)

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)))

eval81.0ms (1.2%)

Compiler: Compiled 2591 to 1156 computations (55.4% saved)

prune74.0ms (1.1%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	173	12	185
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	175	12	187

Error

Counts

187 → 12

Alt Table

Click to see full alt table

Status	Error	Program
	30.7b	(*.f64 (+.f64 y z) x)
▶	0.1b	(+.f64 (.f64 y x) (.f64 z (+.f64 5 x)))
	22.5b	(+.f64 (.f64 z x) (.f64 z 5))
▶	41.2b	(*.f64 y x)
	29.6b	(fma.f64 (.f64 5 (sqrt.f64 z)) (sqrt.f64 z) (.f64 x (+.f64 y z)))
	26.0b	(/.f64 (-.f64 (.f64 (.f64 x (+.f64 y z)) (.f64 x (+.f64 y z))) (.f64 25 (.f64 z z))) (-.f64 (.f64 x (+.f64 y z)) (*.f64 z 5)))
▶	22.5b	(*.f64 z (+.f64 x 5))
	0.1b	(fma.f64 y x (*.f64 z (+.f64 x 5)))
	32.6b	(*.f64 z 5)
▶	0.0b	(fma.f64 z 5 (*.f64 x (+.f64 y z)))
▶	11.1b	(+.f64 (.f64 y x) (.f64 z 5))
	30.2b	(pow.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (*.f64 z 5))) 2)

Compiler

Compiled 282 to 178 computations (36.9% saved)

localize15.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 23 to 8 computations (65.2% saved)

series6.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite76.0ms (1.1%)

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)))))))))

simplify67.0ms (1%)

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))

localize7.0ms (0.1%)

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

localize12.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 9 computations (35.7% saved)

series7.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(*.f64 z (+.f64 x 5))
1.0ms	z	@	0	(*.f64 z (+.f64 x 5))
1.0ms	z	@	inf	(*.f64 z (+.f64 x 5))
1.0ms	z	@	-inf	(*.f64 z (+.f64 x 5))
1.0ms	x	@	0	(*.f64 z (+.f64 x 5))

rewrite76.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

725×	`pow1_binary64`
679×	`add-log-exp_binary64`
679×	`log1p-expm1-u_binary64`
679×	`expm1-log1p-u_binary64`
666×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	136	7
2	1823	7

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

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

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

simplify19.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

4×	`fma-def_binary64`
3×	`*-commutative_binary64`
2×	`+-commutative_binary64`
1×	`distribute-lft-in_binary64`
1×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	159
1	17	159
2	20	159

Stop Event

1×

saturated

Counts

48 → 29

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

localize15.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 20 to 10 computations (50% saved)

series6.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite78.0ms (1.1%)

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 z 5))

Outputs

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

simplify22.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

4×	`fma-def_binary64`
2×	`*-commutative_binary64`
1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	252
1	12	252
2	15	252

Stop Event

1×

saturated

Counts

73 → 40

Calls

Call 1

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

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

localize20.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 27 to 14 computations (48.1% saved)

series8.0ms (0.1%)

Counts

2 → 30

Calls

15 calls:

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

rewrite98.0ms (1.4%)

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	18
1	206	18
2	2983	18

Stop Event

1×	node limit

Counts

2 → 141

Calls

Call 1

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

simplify56.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

284×	`fma-neg_binary64`
247×	`fma-def_binary64`
97×	`cancel-sign-sub-inv_binary64`
70×	`distribute-rgt-in_binary64`
43×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	225
1	49	225
2	105	225
3	260	225
4	561	225
5	903	225
6	1276	225
7	1451	225
8	1467	225

Stop Event

1×

saturated

Counts

171 → 153

Calls

Call 1

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

eval150.0ms (2.2%)

Compiler: Compiled 4308 to 2129 computations (50.6% saved)

prune70.0ms (1%)

Pruning

15 alts after pruning (11 fresh and 4 done)

	Pruned	Kept	Total
New	311	9	320
Fresh	5	2	7
Picked	0	1	1
Done	1	3	4
Total	317	15	332

Error

Counts

332 → 15

Alt Table

Click to see full alt table

Status	Error	Program
✓	41.2b	(*.f64 y x)
	11.1b	(fma.f64 z 5 (*.f64 y x))
	26.0b	(/.f64 (-.f64 (.f64 (.f64 x (+.f64 y z)) (.f64 x (+.f64 y z))) (.f64 25 (.f64 z z))) (-.f64 (.f64 x (+.f64 y z)) (*.f64 z 5)))
▶	38.0b	(/.f64 (-.f64 (.f64 (.f64 z x) (.f64 z x)) (.f64 (.f64 z 5) (.f64 z 5))) (-.f64 (.f64 z x) (.f64 z 5)))
▶	22.5b	(+.f64 (.f64 z x) (.f64 z 5))
✓	22.5b	(*.f64 z (+.f64 x 5))
▶	30.7b	(*.f64 (+.f64 y z) x)
	7.9b	(+.f64 (.f64 y x) (/.f64 (.f64 (-.f64 25 (*.f64 x x)) z) (-.f64 5 x)))
	30.7b	(+.f64 (.f64 y x) (.f64 z x))
✓	0.1b	(+.f64 (.f64 y x) (.f64 z (+.f64 5 x)))
	52.3b	(*.f64 z x)
▶	0.1b	(fma.f64 y x (*.f64 z (+.f64 x 5)))
▶	32.6b	(*.f64 z 5)
✓	11.1b	(+.f64 (.f64 y x) (.f64 z 5))
	22.5b	(fma.f64 z 5 (*.f64 z x))

Compiler

Compiled 322 to 199 computations (38.2% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 23 to 13 computations (43.5% saved)

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite62.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

933×	`pow1_binary64`
868×	`add-log-exp_binary64`
868×	`log1p-expm1-u_binary64`
868×	`expm1-log1p-u_binary64`
850×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	176	11
2	2319	11

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

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

Outputs

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

simplify54.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	348
1	50	348
2	117	348
3	272	348
4	560	348
5	901	348
6	1271	348
7	1446	348
8	1462	348

Stop Event

1×

saturated

Counts

58 → 34

Calls

Call 1

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

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

localize4.0ms (0.1%)

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

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 5 computations (64.3% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

9 calls:

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

rewrite72.0ms (1.1%)

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 y z) x)

Outputs

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

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	150
1	13	150
2	19	150

Stop Event

1×

saturated

Counts

45 → 25

Calls

Call 1

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

localize7.0ms (0.1%)

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	@	0	(+.f64 (.f64 z x) (.f64 z 5))
1.0ms	z	@	inf	(+.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))

rewrite71.0ms (1%)

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))))))

simplify28.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

65 → 47

Calls

Call 1

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

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

localize21.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (.f64 z x) (*.f64 z x))
✓	0.3b	(.f64 (.f64 z 5) (*.f64 z 5))
✓	3.4b	(-.f64 (.f64 (.f64 z x) (.f64 z x)) (.f64 (.f64 z 5) (.f64 z 5)))
✓	24.0b	(/.f64 (-.f64 (.f64 (.f64 z x) (.f64 z x)) (.f64 (.f64 z 5) (.f64 z 5))) (-.f64 (.f64 z x) (.f64 z 5)))

Compiler

Compiled 71 to 32 computations (54.9% saved)

series15.0ms (0.2%)

Counts

4 → 84

Calls

21 calls:

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

rewrite154.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

857×	`log-prod_binary64`
523×	`fma-neg_binary64`
239×	`expm1-udef_binary64`
239×	`log1p-udef_binary64`
194×	`log-pow_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	55
1	280	34
2	4566	32

Stop Event

1×	node limit

Counts

4 → 246

Calls

Call 1

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

simplify116.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

653×	`associate-/l/_binary64`
603×	`fma-def_binary64`
558×	`div-sub_binary64`
339×	`fma-neg_binary64`
311×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	916
1	61	833
2	136	833
3	399	833
4	1478	833
5	4061	833

Stop Event

1×	node limit

Counts

330 → 263

Calls

Call 1

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

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

eval256.0ms (3.8%)

Compiler: Compiled 7942 to 4301 computations (45.8% saved)

prune97.0ms (1.4%)

Pruning

15 alts after pruning (8 fresh and 7 done)

	Pruned	Kept	Total
New	393	5	398
Fresh	3	3	6
Picked	1	0	1
Done	1	7	8
Total	398	15	413

Error

Counts

413 → 15

Alt Table

Click to see full alt table

Status	Error	Program
	22.6b	(.f64 (.f64 z (+.f64 x 5)) (.f64 (.f64 z (-.f64 x 5)) (/.f64 1 (*.f64 z (-.f64 x 5)))))
✓	41.2b	(*.f64 y x)
	11.1b	(fma.f64 z 5 (*.f64 y x))
▶	7.9b	(+.f64 (.f64 y x) (/.f64 (.f64 (-.f64 25 (*.f64 x x)) z) (-.f64 5 x)))
▶	30.7b	(fma.f64 y x (*.f64 z x))
✓	22.5b	(+.f64 (.f64 z x) (.f64 z 5))
✓	22.5b	(*.f64 z (+.f64 x 5))
✓	30.7b	(*.f64 (+.f64 y z) x)
✓	0.1b	(+.f64 (.f64 y x) (.f64 z (+.f64 5 x)))
▶	43.2b	(/.f64 (.f64 z (.f64 z -25)) (-.f64 (.f64 z x) (.f64 z 5)))
✓	32.6b	(*.f64 z 5)
	30.7b	(+.f64 (.f64 z x) (.f64 y x))
▶	52.3b	(*.f64 z x)
✓	11.1b	(+.f64 (.f64 y x) (.f64 z 5))
▶	22.5b	(fma.f64 z 5 (*.f64 z x))

Compiler

Compiled 258 to 174 computations (32.6% saved)

localize18.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 y x) (/.f64 (.f64 (-.f64 25 (*.f64 x x)) z) (-.f64 5 x)))
✓	2.4b	(.f64 (-.f64 25 (.f64 x x)) z)
✓	5.1b	(/.f64 (.f64 (-.f64 25 (.f64 x x)) z) (-.f64 5 x))

Compiler

Compiled 55 to 27 computations (50.9% saved)

series140.0ms (2.1%)

Counts

3 → 84

Calls

21 calls:

Time	Variable		Point	Expression
117.0ms	x	@	0	(/.f64 (.f64 (-.f64 25 (.f64 x x)) z) (-.f64 5 x))
6.0ms	x	@	-inf	(/.f64 (.f64 (-.f64 25 (.f64 x x)) z) (-.f64 5 x))
2.0ms	z	@	0	(/.f64 (.f64 (-.f64 25 (.f64 x x)) z) (-.f64 5 x))
2.0ms	z	@	inf	(+.f64 (.f64 y x) (/.f64 (.f64 (-.f64 25 (*.f64 x x)) z) (-.f64 5 x)))
1.0ms	z	@	inf	(/.f64 (.f64 (-.f64 25 (.f64 x x)) z) (-.f64 5 x))

rewrite119.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

749×	`log-prod_binary64`
434×	`fma-def_binary64`
268×	`expm1-udef_binary64`
268×	`log1p-udef_binary64`
251×	`pow3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	46
1	300	28
2	4330	28

Stop Event

1×	node limit

Counts

3 → 156

Calls

Call 1

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

Outputs

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

simplify118.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

810×	`fma-def_binary64`
548×	`times-frac_binary64`
476×	`fma-neg_binary64`
466×	`associate-/l*_binary64`
364×	`associate-/r*_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	41	1147
1	104	1036
2	218	1036
3	745	1036
4	2807	970

Stop Event

1×	node limit

Counts

240 → 182

Calls

Call 1

Inputs
(*.f64 5 z)
(+.f64 (.f64 z x) (.f64 5 z))
(+.f64 (.f64 z x) (.f64 5 z))
(+.f64 (.f64 z x) (.f64 5 z))
(*.f64 z x)
(+.f64 (.f64 z x) (.f64 5 z))
(+.f64 (.f64 z x) (.f64 5 z))
(+.f64 (.f64 z x) (.f64 5 z))
(*.f64 z x)
(+.f64 (.f64 z x) (.f64 5 z))
(+.f64 (.f64 z x) (.f64 5 z))
(+.f64 (.f64 z x) (.f64 5 z))
(/.f64 (*.f64 z (-.f64 25 (pow.f64 x 2))) (-.f64 5 x))
(/.f64 (*.f64 z (-.f64 25 (pow.f64 x 2))) (-.f64 5 x))
(/.f64 (*.f64 z (-.f64 25 (pow.f64 x 2))) (-.f64 5 x))
(/.f64 (*.f64 z (-.f64 25 (pow.f64 x 2))) (-.f64 5 x))
(/.f64 (*.f64 z (-.f64 25 (pow.f64 x 2))) (-.f64 5 x))
(/.f64 (*.f64 z (-.f64 25 (pow.f64 x 2))) (-.f64 5 x))
(/.f64 (*.f64 z (-.f64 25 (pow.f64 x 2))) (-.f64 5 x))
(/.f64 (*.f64 z (-.f64 25 (pow.f64 x 2))) (-.f64 5 x))
(/.f64 (*.f64 z (-.f64 25 (pow.f64 x 2))) (-.f64 5 x))
(/.f64 (*.f64 z (-.f64 25 (pow.f64 x 2))) (-.f64 5 x))
(/.f64 (*.f64 z (-.f64 25 (pow.f64 x 2))) (-.f64 5 x))
(/.f64 (*.f64 z (-.f64 25 (pow.f64 x 2))) (-.f64 5 x))
(*.f64 25 z)
(+.f64 (.f64 -1 (.f64 z (pow.f64 x 2))) (*.f64 25 z))
(+.f64 (.f64 -1 (.f64 z (pow.f64 x 2))) (*.f64 25 z))
(+.f64 (.f64 -1 (.f64 z (pow.f64 x 2))) (*.f64 25 z))
(.f64 -1 (.f64 z (pow.f64 x 2)))
(+.f64 (.f64 -1 (.f64 z (pow.f64 x 2))) (*.f64 25 z))
(+.f64 (.f64 -1 (.f64 z (pow.f64 x 2))) (*.f64 25 z))
(+.f64 (.f64 -1 (.f64 z (pow.f64 x 2))) (*.f64 25 z))
(.f64 -1 (.f64 z (pow.f64 x 2)))
(+.f64 (.f64 -1 (.f64 z (pow.f64 x 2))) (*.f64 25 z))
(+.f64 (.f64 -1 (.f64 z (pow.f64 x 2))) (*.f64 25 z))
(+.f64 (.f64 -1 (.f64 z (pow.f64 x 2))) (*.f64 25 z))
(*.f64 z (-.f64 25 (pow.f64 x 2)))
(*.f64 z (-.f64 25 (pow.f64 x 2)))
(*.f64 z (-.f64 25 (pow.f64 x 2)))
(*.f64 z (-.f64 25 (pow.f64 x 2)))
(*.f64 z (-.f64 25 (pow.f64 x 2)))
(*.f64 z (-.f64 25 (pow.f64 x 2)))
(*.f64 z (-.f64 25 (pow.f64 x 2)))
(*.f64 z (-.f64 25 (pow.f64 x 2)))
(*.f64 z (-.f64 25 (pow.f64 x 2)))
(*.f64 z (-.f64 25 (pow.f64 x 2)))
(*.f64 z (-.f64 25 (pow.f64 x 2)))
(*.f64 z (-.f64 25 (pow.f64 x 2)))
(/.f64 (*.f64 z (-.f64 25 (pow.f64 x 2))) (-.f64 5 x))
(+.f64 (.f64 y x) (/.f64 (.f64 z (-.f64 25 (pow.f64 x 2))) (-.f64 5 x)))
(+.f64 (.f64 y x) (/.f64 (.f64 z (-.f64 25 (pow.f64 x 2))) (-.f64 5 x)))
(+.f64 (.f64 y x) (/.f64 (.f64 z (-.f64 25 (pow.f64 x 2))) (-.f64 5 x)))
(*.f64 y x)
(+.f64 (.f64 y x) (/.f64 (.f64 z (-.f64 25 (pow.f64 x 2))) (-.f64 5 x)))
(+.f64 (.f64 y x) (/.f64 (.f64 z (-.f64 25 (pow.f64 x 2))) (-.f64 5 x)))
(+.f64 (.f64 y x) (/.f64 (.f64 z (-.f64 25 (pow.f64 x 2))) (-.f64 5 x)))
(*.f64 y x)
(+.f64 (.f64 y x) (/.f64 (.f64 z (-.f64 25 (pow.f64 x 2))) (-.f64 5 x)))
(+.f64 (.f64 y x) (/.f64 (.f64 z (-.f64 25 (pow.f64 x 2))) (-.f64 5 x)))
(+.f64 (.f64 y x) (/.f64 (.f64 z (-.f64 25 (pow.f64 x 2))) (-.f64 5 x)))
(*.f64 5 z)
(+.f64 (.f64 (-.f64 y (.f64 -1 z)) x) (*.f64 5 z))
(+.f64 (.f64 (-.f64 y (.f64 -1 z)) x) (*.f64 5 z))
(+.f64 (.f64 (-.f64 y (.f64 -1 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 (.f64 y x) (.f64 (-.f64 (*.f64 25 (/.f64 1 (-.f64 5 x))) (/.f64 (pow.f64 x 2) (-.f64 5 x))) z))
(+.f64 (.f64 y x) (.f64 (-.f64 (*.f64 25 (/.f64 1 (-.f64 5 x))) (/.f64 (pow.f64 x 2) (-.f64 5 x))) z))
(+.f64 (.f64 y x) (.f64 (-.f64 (*.f64 25 (/.f64 1 (-.f64 5 x))) (/.f64 (pow.f64 x 2) (-.f64 5 x))) z))
(.f64 (-.f64 (.f64 25 (/.f64 1 (-.f64 5 x))) (/.f64 (pow.f64 x 2) (-.f64 5 x))) z)
(+.f64 (.f64 y x) (.f64 (-.f64 (*.f64 25 (/.f64 1 (-.f64 5 x))) (/.f64 (pow.f64 x 2) (-.f64 5 x))) z))
(+.f64 (.f64 y x) (.f64 (-.f64 (*.f64 25 (/.f64 1 (-.f64 5 x))) (/.f64 (pow.f64 x 2) (-.f64 5 x))) z))
(+.f64 (.f64 y x) (.f64 (-.f64 (*.f64 25 (/.f64 1 (-.f64 5 x))) (/.f64 (pow.f64 x 2) (-.f64 5 x))) z))
(/.f64 (*.f64 z (-.f64 25 (pow.f64 x 2))) (-.f64 5 x))
(+.f64 (.f64 y x) (/.f64 (.f64 z (-.f64 25 (pow.f64 x 2))) (-.f64 5 x)))
(+.f64 (.f64 y x) (/.f64 (.f64 z (-.f64 25 (pow.f64 x 2))) (-.f64 5 x)))
(+.f64 (.f64 y x) (/.f64 (.f64 z (-.f64 25 (pow.f64 x 2))) (-.f64 5 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 5 z))
(fma.f64 z x (*.f64 5 z))
(*.f64 z (+.f64 5 x))
(+.f64 (.f64 z x) (.f64 5 z))
(fma.f64 z x (*.f64 5 z))
(*.f64 z (+.f64 5 x))
(*.f64 z x)
(+.f64 (.f64 z x) (.f64 5 z))
(fma.f64 z x (*.f64 5 z))
(*.f64 z (+.f64 5 x))
(+.f64 (.f64 z x) (.f64 5 z))
(fma.f64 z x (*.f64 5 z))
(*.f64 z (+.f64 5 x))
(+.f64 (.f64 z x) (.f64 5 z))
(fma.f64 z x (*.f64 5 z))
(*.f64 z (+.f64 5 x))
(*.f64 z x)
(+.f64 (.f64 z x) (.f64 5 z))
(fma.f64 z x (*.f64 5 z))
(*.f64 z (+.f64 5 x))
(+.f64 (.f64 z x) (.f64 5 z))
(fma.f64 z x (*.f64 5 z))
(*.f64 z (+.f64 5 x))
(+.f64 (.f64 z x) (.f64 5 z))
(fma.f64 z x (*.f64 5 z))
(*.f64 z (+.f64 5 x))
(/.f64 (*.f64 z (-.f64 25 (pow.f64 x 2))) (-.f64 5 x))
(/.f64 z (/.f64 (-.f64 5 x) (-.f64 25 (*.f64 x x))))
(.f64 (/.f64 z (-.f64 5 x)) (-.f64 25 (.f64 x x)))
(*.f64 (fma.f64 x (neg.f64 x) 25) (/.f64 z (-.f64 5 x)))
(.f64 z (/.f64 (-.f64 25 (.f64 x x)) (-.f64 5 x)))
(/.f64 (*.f64 z (fma.f64 x x -25)) (+.f64 x -5))
(/.f64 (*.f64 z (-.f64 25 (pow.f64 x 2))) (-.f64 5 x))
(/.f64 z (/.f64 (-.f64 5 x) (-.f64 25 (*.f64 x x))))
(.f64 (/.f64 z (-.f64 5 x)) (-.f64 25 (.f64 x x)))
(*.f64 (fma.f64 x (neg.f64 x) 25) (/.f64 z (-.f64 5 x)))
(.f64 z (/.f64 (-.f64 25 (.f64 x x)) (-.f64 5 x)))
(/.f64 (*.f64 z (fma.f64 x x -25)) (+.f64 x -5))
(/.f64 (*.f64 z (-.f64 25 (pow.f64 x 2))) (-.f64 5 x))
(/.f64 z (/.f64 (-.f64 5 x) (-.f64 25 (*.f64 x x))))
(.f64 (/.f64 z (-.f64 5 x)) (-.f64 25 (.f64 x x)))
(*.f64 (fma.f64 x (neg.f64 x) 25) (/.f64 z (-.f64 5 x)))
(.f64 z (/.f64 (-.f64 25 (.f64 x x)) (-.f64 5 x)))
(/.f64 (*.f64 z (fma.f64 x x -25)) (+.f64 x -5))
(/.f64 (*.f64 z (-.f64 25 (pow.f64 x 2))) (-.f64 5 x))
(/.f64 z (/.f64 (-.f64 5 x) (-.f64 25 (*.f64 x x))))
(.f64 (/.f64 z (-.f64 5 x)) (-.f64 25 (.f64 x x)))
(*.f64 (fma.f64 x (neg.f64 x) 25) (/.f64 z (-.f64 5 x)))
(.f64 z (/.f64 (-.f64 25 (.f64 x x)) (-.f64 5 x)))
(/.f64 (*.f64 z (fma.f64 x x -25)) (+.f64 x -5))
(/.f64 (*.f64 z (-.f64 25 (pow.f64 x 2))) (-.f64 5 x))
(/.f64 z (/.f64 (-.f64 5 x) (-.f64 25 (*.f64 x x))))
(.f64 (/.f64 z (-.f64 5 x)) (-.f64 25 (.f64 x x)))
(*.f64 (fma.f64 x (neg.f64 x) 25) (/.f64 z (-.f64 5 x)))
(.f64 z (/.f64 (-.f64 25 (.f64 x x)) (-.f64 5 x)))
(/.f64 (*.f64 z (fma.f64 x x -25)) (+.f64 x -5))
(/.f64 (*.f64 z (-.f64 25 (pow.f64 x 2))) (-.f64 5 x))
(/.f64 z (/.f64 (-.f64 5 x) (-.f64 25 (*.f64 x x))))
(.f64 (/.f64 z (-.f64 5 x)) (-.f64 25 (.f64 x x)))
(*.f64 (fma.f64 x (neg.f64 x) 25) (/.f64 z (-.f64 5 x)))
(.f64 z (/.f64 (-.f64 25 (.f64 x x)) (-.f64 5 x)))
(/.f64 (*.f64 z (fma.f64 x x -25)) (+.f64 x -5))
(/.f64 (*.f64 z (-.f64 25 (pow.f64 x 2))) (-.f64 5 x))
(/.f64 z (/.f64 (-.f64 5 x) (-.f64 25 (*.f64 x x))))
(.f64 (/.f64 z (-.f64 5 x)) (-.f64 25 (.f64 x x)))
(*.f64 (fma.f64 x (neg.f64 x) 25) (/.f64 z (-.f64 5 x)))
(.f64 z (/.f64 (-.f64 25 (.f64 x x)) (-.f64 5 x)))
(/.f64 (*.f64 z (fma.f64 x x -25)) (+.f64 x -5))
(/.f64 (*.f64 z (-.f64 25 (pow.f64 x 2))) (-.f64 5 x))
(/.f64 z (/.f64 (-.f64 5 x) (-.f64 25 (*.f64 x x))))
(.f64 (/.f64 z (-.f64 5 x)) (-.f64 25 (.f64 x x)))
(*.f64 (fma.f64 x (neg.f64 x) 25) (/.f64 z (-.f64 5 x)))
(.f64 z (/.f64 (-.f64 25 (.f64 x x)) (-.f64 5 x)))
(/.f64 (*.f64 z (fma.f64 x x -25)) (+.f64 x -5))
(/.f64 (*.f64 z (-.f64 25 (pow.f64 x 2))) (-.f64 5 x))
(/.f64 z (/.f64 (-.f64 5 x) (-.f64 25 (*.f64 x x))))
(.f64 (/.f64 z (-.f64 5 x)) (-.f64 25 (.f64 x x)))
(*.f64 (fma.f64 x (neg.f64 x) 25) (/.f64 z (-.f64 5 x)))
(.f64 z (/.f64 (-.f64 25 (.f64 x x)) (-.f64 5 x)))
(/.f64 (*.f64 z (fma.f64 x x -25)) (+.f64 x -5))
(/.f64 (*.f64 z (-.f64 25 (pow.f64 x 2))) (-.f64 5 x))
(/.f64 z (/.f64 (-.f64 5 x) (-.f64 25 (*.f64 x x))))
(.f64 (/.f64 z (-.f64 5 x)) (-.f64 25 (.f64 x x)))
(*.f64 (fma.f64 x (neg.f64 x) 25) (/.f64 z (-.f64 5 x)))
(.f64 z (/.f64 (-.f64 25 (.f64 x x)) (-.f64 5 x)))
(/.f64 (*.f64 z (fma.f64 x x -25)) (+.f64 x -5))
(/.f64 (*.f64 z (-.f64 25 (pow.f64 x 2))) (-.f64 5 x))
(/.f64 z (/.f64 (-.f64 5 x) (-.f64 25 (*.f64 x x))))
(.f64 (/.f64 z (-.f64 5 x)) (-.f64 25 (.f64 x x)))
(*.f64 (fma.f64 x (neg.f64 x) 25) (/.f64 z (-.f64 5 x)))
(.f64 z (/.f64 (-.f64 25 (.f64 x x)) (-.f64 5 x)))
(/.f64 (*.f64 z (fma.f64 x x -25)) (+.f64 x -5))
(/.f64 (*.f64 z (-.f64 25 (pow.f64 x 2))) (-.f64 5 x))
(/.f64 z (/.f64 (-.f64 5 x) (-.f64 25 (*.f64 x x))))
(.f64 (/.f64 z (-.f64 5 x)) (-.f64 25 (.f64 x x)))
(*.f64 (fma.f64 x (neg.f64 x) 25) (/.f64 z (-.f64 5 x)))
(.f64 z (/.f64 (-.f64 25 (.f64 x x)) (-.f64 5 x)))
(/.f64 (*.f64 z (fma.f64 x x -25)) (+.f64 x -5))
(*.f64 25 z)
(*.f64 z 25)
(+.f64 (.f64 -1 (.f64 z (pow.f64 x 2))) (*.f64 25 z))
(fma.f64 -1 (.f64 z (.f64 x x)) (*.f64 z 25))
(.f64 z (-.f64 25 (.f64 x x)))
(*.f64 z (fma.f64 x (neg.f64 x) 25))
(+.f64 (.f64 -1 (.f64 z (pow.f64 x 2))) (*.f64 25 z))
(fma.f64 -1 (.f64 z (.f64 x x)) (*.f64 z 25))
(.f64 z (-.f64 25 (.f64 x x)))
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localize7.0ms (0.1%)

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

localize65.0ms (1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 z x) (.f64 z 5))
✓	0.2b	(.f64 z (.f64 z -25))
✓	22.1b	(/.f64 (.f64 z (.f64 z -25)) (-.f64 (.f64 z x) (.f64 z 5)))

Compiler

Compiled 41 to 23 computations (43.9% saved)

series14.0ms (0.2%)

Counts

3 → 60

Calls

15 calls:

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

rewrite264.0ms (3.9%)

Algorithm

1×	batch-egg-rewrite

Rules

717×	`log-prod_binary64`
455×	`fma-def_binary64`
323×	`pow2_binary64`
236×	`fma-neg_binary64`
235×	`pow-unpow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	30
1	255	30
2	3632	30

Stop Event

1×	node limit

Counts

3 → 280

Calls

Call 1

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

Outputs

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

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

simplify81.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

880×	`fma-def_binary64`
597×	`associate-l_binary64`
464×	`associate-r_binary64`
445×	`fma-neg_binary64`
356×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	58	605
1	155	596
2	393	569
3	1171	551
4	6082	551

Stop Event

1×	node limit

Counts

340 → 308

Calls

Call 1

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

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 15 to 5 computations (66.7% saved)

series4.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite65.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

575×	`pow1_binary64`
525×	`add-log-exp_binary64`
525×	`log1p-expm1-u_binary64`
525×	`expm1-log1p-u_binary64`
512×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	118	7
2	1414	7

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

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

Outputs

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

simplify31.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	234
1	35	234
2	81	234
3	211	234
4	435	234
5	568	234
6	678	234
7	683	234

Stop Event

1×

saturated

Counts

58 → 29

Calls

Call 1

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

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(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
1.0ms	z	@	0	(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	z	@	inf	(fma.f64 z 5 (*.f64 z x))
0.0ms	x	@	-inf	(fma.f64 z 5 (*.f64 z x))

rewrite79.0ms (1.2%)

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))))))))

simplify25.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

46 → 27

Calls

Call 1

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

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

eval243.0ms (3.6%)

Compiler: Compiled 9924 to 6007 computations (39.5% saved)

prune102.0ms (1.5%)

Pruning

15 alts after pruning (5 fresh and 10 done)

	Pruned	Kept	Total
New	541	5	546
Fresh	3	0	3
Picked	1	0	1
Done	1	10	11
Total	546	15	561

Error

Counts

561 → 15

Alt Table

Click to see full alt table

Status	Error	Program
	6.6b	(+.f64 (.f64 y x) (.f64 (/.f64 (-.f64 25 (*.f64 x x)) 1) (/.f64 z (-.f64 5 x))))
	32.9b	(.f64 (/.f64 z (.f64 z (+.f64 x -5))) (*.f64 z -25))
✓	22.5b	(+.f64 (.f64 z x) (.f64 z 5))
✓	22.5b	(*.f64 z (+.f64 x 5))
✓	43.2b	(/.f64 (.f64 z (.f64 z -25)) (-.f64 (.f64 z x) (.f64 z 5)))
	32.7b	(/.f64 z (/.f64 (+.f64 x -5) -25))
✓	30.7b	(*.f64 (+.f64 y z) x)
✓	41.2b	(*.f64 y x)
✓	30.7b	(fma.f64 y x (*.f64 z x))
	30.7b	(+.f64 (.f64 z x) (.f64 y x))
✓	0.1b	(+.f64 (.f64 y x) (.f64 z (+.f64 5 x)))
	32.7b	(*.f64 -25 (/.f64 z (-.f64 x 5)))
✓	32.6b	(*.f64 z 5)
✓	52.3b	(*.f64 z x)
✓	11.1b	(+.f64 (.f64 y x) (.f64 z 5))

Compiler

Compiled 155 to 108 computations (30.3% saved)

regimes110.0ms (1.6%)

Counts

33 → 1

Calls

Call 1

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

39.0ms	x
22.0ms	(+.f64 (.f64 x (+.f64 y z)) (.f64 z 5))
20.0ms	y
20.0ms	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 321 to 148 computations (53.9% saved)

regimes74.0ms (1.1%)

Counts

29 → 1

Calls

Call 1

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

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

Calls

4 calls:

18.0ms	(+.f64 (.f64 x (+.f64 y z)) (.f64 z 5))
16.0ms	x
16.0ms	z
16.0ms	y

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 282 to 133 computations (52.8% saved)

regimes104.0ms (1.5%)

Counts

28 → 1

Calls

Call 1

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

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

Calls

4 calls:

16.0ms	(+.f64 (.f64 x (+.f64 y z)) (.f64 z 5))
16.0ms	x
14.0ms	y
14.0ms	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 274 to 129 computations (52.9% saved)

regimes121.0ms (1.8%)

Counts

16 → 3

Calls

Call 1

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

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

Calls

3 calls:

69.0ms	z
25.0ms	y
24.0ms	x

Results

Error	Segments	Branch
0.8b	3	`x`
5.9b	3	`y`
7.6b	3	`z`

Compiler

Compiled 101 to 44 computations (56.4% saved)

bsearch35.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
17.0ms	3.057637814609522	30955439.890555706
17.0ms	-76.55260091418698	-0.005735724523951155

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes132.0ms (1.9%)

Counts

15 → 3

Calls

Call 1

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

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

Calls

3 calls:

47.0ms	y
28.0ms	z
24.0ms	x

Results

Error	Segments	Branch
9.7b	3	`x`
13.6b	5	`y`
10.6b	3	`z`

Compiler

Compiled 94 to 41 computations (56.4% saved)

bsearch36.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
17.0ms	3.057637814609522	30955439.890555706
19.0ms	-2.1547795036167508e-20	-1.959218164483536e-20

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes147.0ms (2.2%)

Counts

12 → 3

Calls

Call 1

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

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

Calls

3 calls:

73.0ms	y
51.0ms	z
20.0ms	x

Results

Error	Segments	Branch
9.7b	3	`x`
13.6b	5	`y`
10.6b	3	`z`

Compiler

Compiled 73 to 34 computations (53.4% saved)

bsearch36.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	3.057637814609522	30955439.890555706
18.0ms	-2.1547795036167508e-20	-1.959218164483536e-20

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes153.0ms (2.3%)

Counts

7 → 3

Calls

Call 1

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

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

Calls

3 calls:

78.0ms	y
56.0ms	z
17.0ms	x

Results

Error	Segments	Branch
10.0b	3	`x`
17.5b	11	`y`
18.1b	3	`z`

Compiler

Compiled 40 to 20 computations (50% saved)

bsearch35.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
17.0ms	3.057637814609522	30955439.890555706
18.0ms	-2.1547795036167508e-20	-1.959218164483536e-20

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes131.0ms (1.9%)

Counts

5 → 6

Calls

Call 1

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

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

Calls

3 calls:

73.0ms	x
40.0ms	y
17.0ms	z

Results

Error	Segments	Branch
17.4b	6	`x`
21.3b	9	`y`
21.0b	3	`z`

Compiler

Compiled 30 to 18 computations (40% saved)

bsearch426.0ms (6.3%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
47.0ms	3.057637814609522	30955439.890555706
36.0ms	-2.1547795036167508e-20	-1.959218164483536e-20
227.0ms	-2.497931884182754e+51	-2.1893352054112474e+41
78.0ms	-6.396884581626209e+67	-1.0853994730114298e+67
39.0ms	-2.8103776753152778e+150	-1.6951275470394955e+145

Compiler

Compiled 368 to 263 computations (28.5% saved)

regimes65.0ms (1%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

3 calls:

36.0ms	y
18.0ms	x
8.0ms	z

Results

Error	Segments	Branch
23.1b	3	`x`
30.1b	5	`y`
32.6b	1	`z`

Compiler

Compiled 24 to 15 computations (37.5% saved)

bsearch39.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	3.057637814609522	30955439.890555706
21.0ms	-2.1547795036167508e-20	-1.959218164483536e-20

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes11.0ms (0.2%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

Counts

2 → 1

Calls

Call 1

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

Outputs
(*.f64 z x)

Calls

3 calls:

3.0ms	y
3.0ms	x
3.0ms	z

Results

Error	Segments	Branch
52.3b	1	`x`
52.3b	1	`y`
52.3b	1	`z`

Compiler

Compiled 21 to 13 computations (38.1% saved)

simplify12.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`
5×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	252
1	60	252

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f64 z 5 (*.f64 x (+.f64 y z)))
(fma.f64 y x (*.f64 z (+.f64 x 5)))
(+.f64 (.f64 y x) (.f64 z (+.f64 5 x)))
(if (<=.f64 x -5386910389865231/70368744177664) (.f64 (+.f64 y z) x) (if (<=.f64 x 6885188261254691/2251799813685248) (+.f64 (.f64 y x) (.f64 z 5)) (.f64 (+.f64 y z) x)))
(if (<=.f64 x -3580241551188637/166153499473114484112975882535043072) (.f64 (+.f64 y z) x) (if (<=.f64 x 6885188261254691/2251799813685248) (+.f64 (.f64 z x) (.f64 z 5)) (.f64 (+.f64 y z) x)))
(if (<=.f64 x -3580241551188637/166153499473114484112975882535043072) (.f64 (+.f64 y z) x) (if (<=.f64 x 6885188261254691/2251799813685248) (.f64 z (+.f64 x 5)) (*.f64 (+.f64 y z) x)))
(if (<=.f64 x -3580241551188637/166153499473114484112975882535043072) (.f64 (+.f64 y z) x) (if (<=.f64 x 6885188261254691/2251799813685248) (.f64 z 5) (*.f64 (+.f64 y z) x)))
(if (<=.f64 x -2800000000000000091707414141946026963469497616885799491383533605895092370468339868461492774805003890733775911498005927386092011780619117761973771567104) (.f64 z x) (if (<=.f64 x -10999999999999999959762301285788616973021088033286406719202354266112) (.f64 y x) (if (<=.f64 x -219999999999999989758331150789272225710080) (.f64 z x) (if (<=.f64 x -3580241551188637/166153499473114484112975882535043072) (.f64 y x) (if (<=.f64 x 6885188261254691/2251799813685248) (.f64 z 5) (.f64 y x))))))
(if (<=.f64 x -3580241551188637/166153499473114484112975882535043072) (.f64 z x) (if (<=.f64 x 6885188261254691/2251799813685248) (.f64 z 5) (*.f64 z x)))
(*.f64 z x)

Outputs
(fma.f64 z 5 (*.f64 x (+.f64 y z)))
(fma.f64 z 5 (*.f64 x (+.f64 z y)))
(fma.f64 y x (*.f64 z (+.f64 x 5)))
(fma.f64 y x (*.f64 z (+.f64 5 x)))
(+.f64 (.f64 y x) (.f64 z (+.f64 5 x)))
(+.f64 (.f64 z (+.f64 5 x)) (.f64 x y))
(if (<=.f64 x -5386910389865231/70368744177664) (.f64 (+.f64 y z) x) (if (<=.f64 x 6885188261254691/2251799813685248) (+.f64 (.f64 y x) (.f64 z 5)) (.f64 (+.f64 y z) x)))
(if (<=.f64 x -5386910389865231/70368744177664) (.f64 x (+.f64 z y)) (if (<=.f64 x 6885188261254691/2251799813685248) (+.f64 (.f64 x y) (.f64 z 5)) (.f64 x (+.f64 z y))))
(if (<=.f64 x -3580241551188637/166153499473114484112975882535043072) (.f64 (+.f64 y z) x) (if (<=.f64 x 6885188261254691/2251799813685248) (+.f64 (.f64 z x) (.f64 z 5)) (.f64 (+.f64 y z) x)))
(if (<=.f64 x -3580241551188637/166153499473114484112975882535043072) (.f64 x (+.f64 z y)) (if (<=.f64 x 6885188261254691/2251799813685248) (+.f64 (.f64 z 5) (.f64 z x)) (.f64 x (+.f64 z y))))
(if (<=.f64 x -3580241551188637/166153499473114484112975882535043072) (.f64 (+.f64 y z) x) (if (<=.f64 x 6885188261254691/2251799813685248) (.f64 z (+.f64 x 5)) (*.f64 (+.f64 y z) x)))
(if (<=.f64 x -3580241551188637/166153499473114484112975882535043072) (.f64 x (+.f64 z y)) (if (<=.f64 x 6885188261254691/2251799813685248) (.f64 z (+.f64 5 x)) (*.f64 x (+.f64 z y))))
(if (<=.f64 x -3580241551188637/166153499473114484112975882535043072) (.f64 (+.f64 y z) x) (if (<=.f64 x 6885188261254691/2251799813685248) (.f64 z 5) (*.f64 (+.f64 y z) x)))
(if (<=.f64 x -3580241551188637/166153499473114484112975882535043072) (.f64 x (+.f64 z y)) (if (<=.f64 x 6885188261254691/2251799813685248) (.f64 z 5) (*.f64 x (+.f64 z y))))
(if (<=.f64 x -2800000000000000091707414141946026963469497616885799491383533605895092370468339868461492774805003890733775911498005927386092011780619117761973771567104) (.f64 z x) (if (<=.f64 x -10999999999999999959762301285788616973021088033286406719202354266112) (.f64 y x) (if (<=.f64 x -219999999999999989758331150789272225710080) (.f64 z x) (if (<=.f64 x -3580241551188637/166153499473114484112975882535043072) (.f64 y x) (if (<=.f64 x 6885188261254691/2251799813685248) (.f64 z 5) (.f64 y x))))))
(if (<=.f64 x -2800000000000000091707414141946026963469497616885799491383533605895092370468339868461492774805003890733775911498005927386092011780619117761973771567104) (.f64 z x) (if (<=.f64 x -10999999999999999959762301285788616973021088033286406719202354266112) (.f64 x y) (if (<=.f64 x -219999999999999989758331150789272225710080) (.f64 z x) (if (<=.f64 x -3580241551188637/166153499473114484112975882535043072) (.f64 x y) (if (<=.f64 x 6885188261254691/2251799813685248) (.f64 z 5) (.f64 x y))))))
(if (<=.f64 x -3580241551188637/166153499473114484112975882535043072) (.f64 z x) (if (<=.f64 x 6885188261254691/2251799813685248) (.f64 z 5) (*.f64 z x)))
(*.f64 z x)

Compiler

Compiled 207 to 117 computations (43.5% saved)

soundness0.0ms (0%)

end78.0ms (1.1%)

Compiler: Compiled 180 to 77 computations (57.2% saved)