Details

analyze196.0ms (2.9%)

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)

sample1.4s (20.3%)

Results

1.1s	7984×	body	256	valid
160.0ms	1136×	body	256	invalid
53.0ms	157×	body	1024	valid
28.0ms	115×	body	512	valid

preprocess18.0ms (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)

simplify10.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.0b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(fma.f64 x (+.f64 y z) (*.f64 z 5))
▶	0.0b	(+.f64 (.f64 x (+.f64 y z)) (.f64 z 5))

Compiler

Compiled 23 to 15 computations (34.8% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 27 to 11 computations (59.3% saved)

series8.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

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

rewrite78.0ms (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 (.f64 x (+.f64 y z)) (.f64 z 5))
(*.f64 x (+.f64 y z))

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

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

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

simplify93.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

209 → 151

Calls

Call 1

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

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

localize18.0ms (0.3%)

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)

series9.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite94.0ms (1.4%)

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))))))))

simplify73.0ms (1.1%)

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)))

eval83.0ms (1.2%)

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

prune70.0ms (1%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	176	8	184
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	177	9	186

Error

Counts

186 → 9

Alt Table

Click to see full alt table

Status	Error	Program
▶	33.2b	(/.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)))
▶	22.9b	(*.f64 z (+.f64 5 x))
✓	0.0b	(fma.f64 x (+.f64 y z) (*.f64 z 5))
▶	32.6b	(*.f64 5 z)
▶	22.9b	(+.f64 (.f64 z x) (.f64 z 5))
▶	0.0b	(fma.f64 z 5 (*.f64 x (+.f64 y z)))
	0.0b	(+.f64 (.f64 y x) (.f64 z (+.f64 5 x)))
	40.2b	(*.f64 y x)
	30.9b	(*.f64 (+.f64 z y) x)

Compiler

Compiled 193 to 119 computations (38.3% saved)

localize18.0ms (0.3%)

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	@	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	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)))

rewrite90.0ms (1.3%)

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)))))))))

simplify79.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

59 → 37

Calls

Call 1

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

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

localize8.0ms (0.1%)

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

localize31.0ms (0.5%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 9 computations (35.7% saved)

series7.0ms (0.1%)

Counts

1 → 12

Calls

6 calls:

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

rewrite162.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

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

Outputs

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

simplify17.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×

saturated

Counts

36 → 28

Calls

Call 1

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

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

localize20.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 19 to 10 computations (47.4% saved)

series5.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite113.0ms (1.7%)

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))))))

simplify44.0ms (0.7%)

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))

localize135.0ms (2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 25 (.f64 z z))
✓	0.3b	(.f64 (.f64 x (+.f64 y z)) (*.f64 x (+.f64 y z)))
✓	5.3b	(-.f64 (.f64 (.f64 x (+.f64 y z)) (.f64 x (+.f64 y z))) (.f64 25 (*.f64 z z)))
✓	31.4b	(/.f64 (-.f64 (.f64 (.f64 x (+.f64 y z)) (.f64 x (+.f64 y z))) (.f64 25 (.f64 z z))) (-.f64 (.f64 x (+.f64 y z)) (*.f64 z 5)))

Compiler

Compiled 91 to 26 computations (71.4% saved)

series45.0ms (0.7%)

Counts

4 → 120

Calls

30 calls:

Time	Variable		Point	Expression
5.0ms	z	@	-inf	(-.f64 (.f64 (.f64 x (+.f64 y z)) (.f64 x (+.f64 y z))) (.f64 25 (*.f64 z z)))
4.0ms	y	@	0	(/.f64 (-.f64 (.f64 (.f64 x (+.f64 y z)) (.f64 x (+.f64 y z))) (.f64 25 (.f64 z z))) (-.f64 (.f64 x (+.f64 y z)) (*.f64 z 5)))
4.0ms	z	@	inf	(/.f64 (-.f64 (.f64 (.f64 x (+.f64 y z)) (.f64 x (+.f64 y z))) (.f64 25 (.f64 z z))) (-.f64 (.f64 x (+.f64 y z)) (*.f64 z 5)))
3.0ms	z	@	-inf	(/.f64 (-.f64 (.f64 (.f64 x (+.f64 y z)) (.f64 x (+.f64 y z))) (.f64 25 (.f64 z z))) (-.f64 (.f64 x (+.f64 y z)) (*.f64 z 5)))
2.0ms	x	@	0	(/.f64 (-.f64 (.f64 (.f64 x (+.f64 y z)) (.f64 x (+.f64 y z))) (.f64 25 (.f64 z z))) (-.f64 (.f64 x (+.f64 y z)) (*.f64 z 5)))

rewrite127.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 212

Calls

Call 1

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

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

simplify93.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

332 → 286

Calls

Call 1

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

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

eval218.0ms (3.2%)

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

prune77.0ms (1.1%)

Pruning

11 alts after pruning (7 fresh and 4 done)

	Pruned	Kept	Total
New	451	6	457
Fresh	2	1	3
Picked	1	0	1
Done	1	4	5
Total	455	11	466

Error

Counts

466 → 11

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(fma.f64 x (+.f64 y z) (*.f64 z 5))
▶	40.2b	(*.f64 y x)
▶	52.9b	(*.f64 z x)
▶	0.0b	(+.f64 (.f64 y x) (.f64 z (+.f64 5 x)))
▶	29.0b	(/.f64 (.f64 (-.f64 25 (.f64 x x)) z) (-.f64 5 x))
▶	30.9b	(*.f64 (+.f64 z y) x)
	22.9b	(fma.f64 z 5 (*.f64 z x))
	48.1b	(/.f64 (.f64 z (.f64 z -25)) (-.f64 (.f64 x (+.f64 y z)) (.f64 z 5)))
✓	32.6b	(*.f64 5 z)
✓	22.9b	(*.f64 z (+.f64 5 x))
✓	22.9b	(+.f64 (.f64 z x) (.f64 z 5))

Compiler

Compiled 181 to 123 computations (32% saved)

localize10.0ms (0.2%)

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)

series4.0ms (0.1%)

Counts

1 → 18

Calls

9 calls:

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

rewrite71.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 84

Calls

Call 1

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

Outputs

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

simplify81.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	150
1	47	150
2	108	150
3	265	150
4	563	150
5	904	150
6	1295	150
7	1473	150
8	1489	150

Stop Event

1×

saturated

Counts

102 → 95

Calls

Call 1

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

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

localize3.0ms (0%)

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

localize3.0ms (0%)

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

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 5 computations (64.3% saved)

series2.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite60.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

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

simplify11.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

57 → 26

Calls

Call 1

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

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

localize13.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 25 (*.f64 x x))
✓	2.6b	(.f64 (-.f64 25 (.f64 x x)) z)
✓	6.1b	(/.f64 (.f64 (-.f64 25 (.f64 x x)) z) (-.f64 5 x))

Compiler

Compiled 36 to 19 computations (47.2% saved)

series8.0ms (0.1%)

Counts

3 → 60

Calls

15 calls:

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

rewrite79.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	33
1	230	24
2	3205	24

Stop Event

1×	node limit

Counts

3 → 134

Calls

Call 1

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

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

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

simplify69.0ms (1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	668
1	47	575
2	95	575
3	203	575
4	578	575
5	2002	575
6	7655	575

Stop Event

1×	node limit

Counts

194 → 152

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)))
25
(+.f64 25 (*.f64 -1 (pow.f64 x 2)))
(+.f64 25 (*.f64 -1 (pow.f64 x 2)))
(+.f64 25 (*.f64 -1 (pow.f64 x 2)))
(*.f64 -1 (pow.f64 x 2))
(+.f64 25 (*.f64 -1 (pow.f64 x 2)))
(+.f64 25 (*.f64 -1 (pow.f64 x 2)))
(+.f64 25 (*.f64 -1 (pow.f64 x 2)))
(*.f64 -1 (pow.f64 x 2))
(+.f64 25 (*.f64 -1 (pow.f64 x 2)))
(+.f64 25 (*.f64 -1 (pow.f64 x 2)))
(+.f64 25 (*.f64 -1 (pow.f64 x 2)))

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

eval84.0ms (1.2%)

Compiler: Compiled 4200 to 2424 computations (42.3% saved)

prune65.0ms (0.9%)

Pruning

11 alts after pruning (3 fresh and 8 done)

	Pruned	Kept	Total
New	298	3	301
Fresh	2	0	2
Picked	1	0	1
Done	0	8	8
Total	301	11	312

Error

Counts

312 → 11

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(fma.f64 x (+.f64 y z) (*.f64 z 5))
✓	40.2b	(*.f64 y x)
✓	22.9b	(+.f64 (.f64 z x) (.f64 z 5))
▶	32.7b	(/.f64 (*.f64 z 25) (-.f64 5 x))
▶	9.9b	(+.f64 (.f64 y x) (.f64 5 z))
✓	52.9b	(*.f64 z x)
✓	0.0b	(+.f64 (.f64 y x) (.f64 z (+.f64 5 x)))
▶	27.9b	(.f64 (/.f64 (-.f64 25 (.f64 x x)) 1) (/.f64 z (-.f64 5 x)))
✓	32.6b	(*.f64 5 z)
✓	22.9b	(*.f64 z (+.f64 5 x))
✓	30.9b	(*.f64 (+.f64 z y) x)

Compiler

Compiled 103 to 73 computations (29.1% saved)

localize36.0ms (0.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(-.f64 25 (*.f64 x x))
✓	0.0b	(/.f64 z (-.f64 5 x))
✓	9.1b	(.f64 (/.f64 (-.f64 25 (.f64 x x)) 1) (/.f64 z (-.f64 5 x)))

Compiler

Compiled 44 to 26 computations (40.9% saved)

series9.0ms (0.1%)

Counts

2 → 36

Calls

12 calls:

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

rewrite113.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 112

Calls

Call 1

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

Outputs

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

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

simplify74.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

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

Stop Event

1×	node limit

Counts

148 → 134

Calls

Call 1

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

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

localize19.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 20 to 10 computations (50% saved)

series5.0ms (0.1%)

Counts

1 → 9

Calls

9 calls:

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

rewrite83.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

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

Outputs

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

simplify15.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	36
1	9	36

Stop Event

1×

saturated

Counts

46 → 39

Calls

Call 1

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

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

localize18.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 20 to 14 computations (30% saved)

series31.0ms (0.4%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
26.0ms	z	@	0	(/.f64 (*.f64 z 25) (-.f64 5 x))
1.0ms	z	@	-inf	(/.f64 (*.f64 z 25) (-.f64 5 x))
1.0ms	z	@	inf	(/.f64 (*.f64 z 25) (-.f64 5 x))
1.0ms	x	@	inf	(/.f64 (*.f64 z 25) (-.f64 5 x))
1.0ms	x	@	0	(/.f64 (*.f64 z 25) (-.f64 5 x))

rewrite164.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 107

Calls

Call 1

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

Outputs

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

simplify88.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

131 → 124

Calls

Call 1

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

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

eval243.0ms (3.6%)

Compiler: Compiled 5638 to 3872 computations (31.3% saved)

prune158.0ms (2.3%)

Pruning

11 alts after pruning (2 fresh and 9 done)

	Pruned	Kept	Total
New	350	2	352
Fresh	0	0	0
Picked	0	1	1
Done	2	8	10
Total	352	11	363

Error

Counts

363 → 11

Alt Table

Click to see full alt table

Status	Error	Program
	32.7b	(/.f64 25 (/.f64 (-.f64 5 x) z))
✓	32.6b	(*.f64 5 z)
✓	22.9b	(+.f64 (.f64 z x) (.f64 z 5))
✓	32.7b	(/.f64 (*.f64 z 25) (-.f64 5 x))
✓	9.9b	(+.f64 (.f64 y x) (.f64 5 z))
✓	52.9b	(*.f64 z x)
✓	0.0b	(+.f64 (.f64 y x) (.f64 z (+.f64 5 x)))
✓	40.2b	(*.f64 y x)
✓	22.9b	(*.f64 z (+.f64 5 x))
	9.9b	(fma.f64 y x (*.f64 5 z))
✓	30.9b	(*.f64 (+.f64 z y) x)

Compiler

Compiled 95 to 68 computations (28.4% saved)

regimes142.0ms (2.1%)

Counts

21 → 1

Calls

Call 1

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

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

Calls

4 calls:

53.0ms	x
29.0ms	(+.f64 (.f64 x (+.f64 y z)) (.f64 z 5))
24.0ms	z
24.0ms	y

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 198 to 99 computations (50% saved)

regimes115.0ms (1.7%)

Counts

19 → 1

Calls

Call 1

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

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

Calls

4 calls:

36.0ms	z
24.0ms	(+.f64 (.f64 x (+.f64 y z)) (.f64 z 5))
23.0ms	x
23.0ms	y

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 182 to 94 computations (48.4% saved)

regimes145.0ms (2.1%)

Counts

10 → 3

Calls

Call 1

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

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

Calls

3 calls:

63.0ms	y
40.0ms	z
38.0ms	x

Results

Error	Segments	Branch
0.9b	3	`x`
4.8b	3	`y`
5.9b	3	`z`

Compiler

Compiled 65 to 37 computations (43.1% saved)

bsearch74.0ms (1.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
36.0ms	0.015152388874615239	0.12320123952591129
37.0ms	-966.3580826460436	-4.326440896130402

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes279.0ms (4.1%)

Counts

8 → 3

Calls

Call 1

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

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

Calls

3 calls:

192.0ms	z
66.0ms	y
18.0ms	x

Results

Error	Segments	Branch
12.0b	3	`x`
15.4b	3	`y`
12.8b	5	`z`

Compiler

Compiled 51 to 31 computations (39.2% saved)

bsearch37.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
19.0ms	1.0884141016591867e-41	3.8504658528257816e-32
18.0ms	-0.010586985840304172	-5.0900520306759504e-14

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes123.0ms (1.8%)

Counts

5 → 5

Calls

Call 1

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

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

Calls

3 calls:

92.0ms	z
17.0ms	x
13.0ms	y

Results

Error	Segments	Branch
19.5b	4	`x`
15.7b	3	`y`
13.7b	5	`z`

Compiler

Compiled 32 to 19 computations (40.6% saved)

bsearch116.0ms (1.7%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
29.0ms	4.259474682177983e-160	1.5699631611730564e-156
28.0ms	-2.794700044604555e-168	-4.492322132606847e-172
31.0ms	-2.0111534923617882e-122	-4.562798415360676e-125
28.0ms	-6.820817376087832e-24	-1.5195538983803768e-24

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes200.0ms (2.9%)

Counts

4 → 4

Calls

Call 1

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

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

Calls

3 calls:

98.0ms	y
69.0ms	z
31.0ms	x

Results

Error	Segments	Branch
19.7b	4	`x`
25.1b	3	`y`
21.3b	7	`z`

Compiler

Compiled 27 to 16 computations (40.7% saved)

bsearch257.0ms (3.8%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
183.0ms	3.992877529919137e+66	1.9393151341914176e+76
28.0ms	1.0884141016591867e-41	3.8504658528257816e-32
46.0ms	-0.010586985840304172	-5.0900520306759504e-14

Compiler

Compiled 158 to 113 computations (28.5% saved)

regimes47.0ms (0.7%)

Accuracy

Total -27.1b remaining (-77.6%)

Threshold costs -27.1b (-77.6%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

3 calls:

15.0ms	z
15.0ms	x
15.0ms	y

Results

Error	Segments	Branch
38.7b	2	`x`
34.9b	3	`y`
36.5b	3	`z`

Compiler

Compiled 21 to 14 computations (33.3% saved)

bsearch89.0ms (1.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
30.0ms	5.77120145618851e-115	1.0324247424521108e-113
59.0ms	-6.271056366795618e-158	-2.0063048503403257e-161

Compiler

Compiled 18 to 13 computations (27.8% saved)

simplify15.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	205
1	63	205

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f64 z 5 (*.f64 x (+.f64 y z)))
(+.f64 (.f64 y x) (.f64 z (+.f64 5 x)))
(if (<=.f64 x -4250087793858583/4398046511104) (.f64 (+.f64 z y) x) (if (<=.f64 x 8734757489854725/576460752303423488) (+.f64 (.f64 y x) (.f64 5 z)) (.f64 (+.f64 z y) x)))
(if (<=.f64 x -6102981822127435/576460752303423488) (.f64 (+.f64 z y) x) (if (<=.f64 x 4270053778965135/392318858461667547739736838950479151006397215279002157056) (.f64 z (+.f64 5 x)) (*.f64 (+.f64 z y) x)))
(if (<=.f64 z -4642007762141265/680564733841876926926749214863536422912) (.f64 z (+.f64 5 x)) (if (<=.f64 z -7484335302404591/372141426839350727961253789638658321589064376671906846864122981980487315514059736743009817965446945567110411062408283101969716033850703872) (.f64 y x) (if (<=.f64 z -5937485488864771/2124551971267068394758352826209874509318372470908127692797776552801614239443408970956650009060917142675557317944986004061386317350610828957638079915066349407775325083341572876126912512) (.f64 5 z) (if (<=.f64 z 6742384532528671/15829145694278690179872161345257420162248406342477557754500035589945422406818039498900249667919554879334250971265032917718487362195632077437922953926521162746662833417516744704) (.f64 y x) (*.f64 z (+.f64 5 x))))))
(if (<=.f64 x -6102981822127435/576460752303423488) (.f64 y x) (if (<=.f64 x 4270053778965135/392318858461667547739736838950479151006397215279002157056) (.f64 5 z) (if (<=.f64 x 3999999999999999781289335472989780502838586280084991698663366459392) (.f64 y x) (.f64 z x))))
(if (<=.f64 y -3877557222150071/61832600368276133515125630254911797508782837275302959978515764023224306276632966792579100265310761247399417856504034834837841258576687802491886538775473291979151693037174784) (.f64 y x) (if (<=.f64 y 6400654150495919/11090678776483259438313656736572334813745748301503266300681918322458485231222502492159897624416558312389564843845614287315896631296) (.f64 z x) (*.f64 y x)))
(*.f64 y x)

Outputs
(fma.f64 z 5 (*.f64 x (+.f64 y z)))
(fma.f64 z 5 (*.f64 x (+.f64 z y)))
(+.f64 (.f64 y x) (.f64 z (+.f64 5 x)))
(+.f64 (.f64 x y) (.f64 z (+.f64 5 x)))
(if (<=.f64 x -4250087793858583/4398046511104) (.f64 (+.f64 z y) x) (if (<=.f64 x 8734757489854725/576460752303423488) (+.f64 (.f64 y x) (.f64 5 z)) (.f64 (+.f64 z y) x)))
(if (<=.f64 x -4250087793858583/4398046511104) (.f64 x (+.f64 z y)) (if (<=.f64 x 8734757489854725/576460752303423488) (+.f64 (.f64 x y) (.f64 z 5)) (.f64 x (+.f64 z y))))
(if (<=.f64 x -6102981822127435/576460752303423488) (.f64 (+.f64 z y) x) (if (<=.f64 x 4270053778965135/392318858461667547739736838950479151006397215279002157056) (.f64 z (+.f64 5 x)) (*.f64 (+.f64 z y) x)))
(if (<=.f64 x -6102981822127435/576460752303423488) (.f64 x (+.f64 z y)) (if (<=.f64 x 4270053778965135/392318858461667547739736838950479151006397215279002157056) (.f64 z (+.f64 5 x)) (*.f64 x (+.f64 z y))))
(if (<=.f64 z -4642007762141265/680564733841876926926749214863536422912) (.f64 z (+.f64 5 x)) (if (<=.f64 z -7484335302404591/372141426839350727961253789638658321589064376671906846864122981980487315514059736743009817965446945567110411062408283101969716033850703872) (.f64 y x) (if (<=.f64 z -5937485488864771/2124551971267068394758352826209874509318372470908127692797776552801614239443408970956650009060917142675557317944986004061386317350610828957638079915066349407775325083341572876126912512) (.f64 5 z) (if (<=.f64 z 6742384532528671/15829145694278690179872161345257420162248406342477557754500035589945422406818039498900249667919554879334250971265032917718487362195632077437922953926521162746662833417516744704) (.f64 y x) (*.f64 z (+.f64 5 x))))))
(if (<=.f64 z -4642007762141265/680564733841876926926749214863536422912) (.f64 z (+.f64 5 x)) (if (<=.f64 z -7484335302404591/372141426839350727961253789638658321589064376671906846864122981980487315514059736743009817965446945567110411062408283101969716033850703872) (.f64 x y) (if (<=.f64 z -5937485488864771/2124551971267068394758352826209874509318372470908127692797776552801614239443408970956650009060917142675557317944986004061386317350610828957638079915066349407775325083341572876126912512) (.f64 z 5) (if (<=.f64 z 6742384532528671/15829145694278690179872161345257420162248406342477557754500035589945422406818039498900249667919554879334250971265032917718487362195632077437922953926521162746662833417516744704) (.f64 x y) (*.f64 z (+.f64 5 x))))))
(if (<=.f64 x -6102981822127435/576460752303423488) (.f64 y x) (if (<=.f64 x 4270053778965135/392318858461667547739736838950479151006397215279002157056) (.f64 5 z) (if (<=.f64 x 3999999999999999781289335472989780502838586280084991698663366459392) (.f64 y x) (.f64 z x))))
(if (<=.f64 x -6102981822127435/576460752303423488) (.f64 x y) (if (<=.f64 x 4270053778965135/392318858461667547739736838950479151006397215279002157056) (.f64 z 5) (if (<=.f64 x 3999999999999999781289335472989780502838586280084991698663366459392) (.f64 x y) (.f64 z x))))
(if (<=.f64 y -3877557222150071/61832600368276133515125630254911797508782837275302959978515764023224306276632966792579100265310761247399417856504034834837841258576687802491886538775473291979151693037174784) (.f64 y x) (if (<=.f64 y 6400654150495919/11090678776483259438313656736572334813745748301503266300681918322458485231222502492159897624416558312389564843845614287315896631296) (.f64 z x) (*.f64 y x)))
(if (<=.f64 y -3877557222150071/61832600368276133515125630254911797508782837275302959978515764023224306276632966792579100265310761247399417856504034834837841258576687802491886538775473291979151693037174784) (.f64 x y) (if (<=.f64 y 6400654150495919/11090678776483259438313656736572334813745748301503266300681918322458485231222502492159897624416558312389564843845614287315896631296) (.f64 z x) (*.f64 x y)))
(*.f64 y x)
(*.f64 x y)

Compiler

Compiled 168 to 99 computations (41.1% saved)

soundness0.0ms (0%)

end118.0ms (1.7%)

Compiler: Compiled 147 to 68 computations (53.7% saved)