Details

analyze384.0ms (9.7%)

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%	74.9%	25.1%	6
6.2%	68.6%	25.1%	7
9.4%	65.5%	25.1%	8
14%	35.9%	50.1%	9
21.1%	28.9%	50.1%	10
24.6%	25.4%	50.1%	11
28.7%	21.3%	50.1%	12
33.4%	16.5%	50.1%	13
35.8%	14.1%	50.1%	14

Compiler

Compiled 16 to 11 computations (31.3% saved)

sample1.2s (29.6%)

Results

1.1s	8255×	body	128	valid
4.0ms	34×	body	128	invalid
0.0ms	1×	body	1024	valid

preprocess45.0ms (1.1%)

Algorithm

2×	egg-herbie

Rules

530×	`sub-neg_binary64`
370×	`+-commutative_binary64`
363×	`fma-def_binary64`
188×	`associate-+l-_binary64`
183×	`associate-+l+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	72
1	75	72
2	242	64
3	1062	64
4	3171	64
5	4907	64
0	3	3

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

Inputs
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)
(-.f64 (+.f64 (-.f64 y (*.f64 (+.f64 x 1/2) (log.f64 x))) x) z)
(-.f64 (+.f64 (-.f64 z (*.f64 (+.f64 y 1/2) (log.f64 y))) y) x)
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 z 1/2) (log.f64 z))) z) y)

Outputs
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)
(+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) (-.f64 y z))
(+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) (-.f64 y z)))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) (-.f64 x (-.f64 z y)))
(+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) x) (-.f64 y z))
(-.f64 (+.f64 (-.f64 y (*.f64 (+.f64 x 1/2) (log.f64 x))) x) z)
(+.f64 (-.f64 y (*.f64 (+.f64 x 1/2) (log.f64 x))) (-.f64 x z))
(+.f64 x (-.f64 (-.f64 y (*.f64 (+.f64 x 1/2) (log.f64 x))) z))
(+.f64 y (-.f64 (fma.f64 (log.f64 x) (-.f64 -1/2 x) x) z))
(fma.f64 (log.f64 x) (-.f64 -1/2 x) (-.f64 x (-.f64 z y)))
(-.f64 (+.f64 (-.f64 z (*.f64 (+.f64 y 1/2) (log.f64 y))) y) x)
(+.f64 (-.f64 z (*.f64 (+.f64 y 1/2) (log.f64 y))) (-.f64 y x))
(+.f64 y (-.f64 (-.f64 z (*.f64 (+.f64 y 1/2) (log.f64 y))) x))
(+.f64 z (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) x))
(+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) (-.f64 z x)))
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 z 1/2) (log.f64 z))) z) y)
(+.f64 (-.f64 x (*.f64 (+.f64 1/2 z) (log.f64 z))) (-.f64 z y))
(+.f64 x (fma.f64 (log.f64 z) (-.f64 -1/2 z) (-.f64 z y)))
(+.f64 z (fma.f64 (log.f64 z) (-.f64 -1/2 z) (-.f64 x y)))
(+.f64 x (-.f64 z (fma.f64 (-.f64 z -1/2) (log.f64 z) y)))

Compiler

Compiled 15 to 10 computations (33.3% saved)

simplify32.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

780×	`fma-neg_binary64`
402×	`fma-def_binary64`
312×	`cancel-sign-sub-inv_binary64`
267×	`sub-neg_binary64`
242×	`unsub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	18
1	25	18
2	77	16
3	312	16
4	947	16
5	2808	16
6	4404	16
7	4894	16

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)

Outputs
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)
(-.f64 (-.f64 x (-.f64 (*.f64 (+.f64 y 1/2) (log.f64 y)) y)) z)
(+.f64 y (-.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) z))
(+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) x) (-.f64 y z))
(+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z))

prune23.0ms (0.6%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.1b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	0.1b	(+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z))
	0.1b	(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)

Compiler

Compiled 84 to 53 computations (36.9% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z))
✓	0.2b	(fma.f64 (log.f64 y) (-.f64 -1/2 y) y)

series20.0ms (0.5%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
5.0ms	y	@	0	(fma.f64 (log.f64 y) (-.f64 -1/2 y) y)
4.0ms	y	@	-inf	(fma.f64 (log.f64 y) (-.f64 -1/2 y) y)
3.0ms	x	@	0	(+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z))
2.0ms	y	@	-inf	(+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z))
2.0ms	y	@	inf	(fma.f64 (log.f64 y) (-.f64 -1/2 y) y)

rewrite62.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

484×	`fma-def_binary64`
233×	`fma-neg_binary64`
219×	`expm1-udef_binary64`
219×	`log1p-udef_binary64`
125×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	26
1	231	26
2	3345	26

Stop Event

1×	node limit

Counts

2 → 108

Calls

Call 1

Inputs
(fma.f64 (log.f64 y) (-.f64 -1/2 y) y)
(+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z))

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

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

simplify44.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

530×	`sub-neg_binary64`
415×	`associate-+l+_binary64`
378×	`unsub-neg_binary64`
362×	`associate-+r+_binary64`
290×	`associate-+l-_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	49	820
1	143	738
2	412	608
3	1493	608
4	4450	608

Stop Event

1×	node limit

Counts

156 → 131

Calls

Call 1

Inputs
(*.f64 -1/2 (log.f64 y))
(+.f64 (.f64 y (+.f64 1 (.f64 -1 (log.f64 y)))) (*.f64 -1/2 (log.f64 y)))
(+.f64 (.f64 y (+.f64 1 (.f64 -1 (log.f64 y)))) (*.f64 -1/2 (log.f64 y)))
(+.f64 (.f64 y (+.f64 1 (.f64 -1 (log.f64 y)))) (*.f64 -1/2 (log.f64 y)))
(*.f64 y (+.f64 1 (log.f64 (/.f64 1 y))))
(+.f64 (.f64 1/2 (log.f64 (/.f64 1 y))) (.f64 y (+.f64 1 (log.f64 (/.f64 1 y)))))
(+.f64 (.f64 1/2 (log.f64 (/.f64 1 y))) (.f64 y (+.f64 1 (log.f64 (/.f64 1 y)))))
(+.f64 (.f64 1/2 (log.f64 (/.f64 1 y))) (.f64 y (+.f64 1 (log.f64 (/.f64 1 y)))))
(.f64 -1 (.f64 y (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1)))
(+.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (.f64 -1 (.f64 y (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1))))
(+.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (.f64 -1 (.f64 y (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1))))
(+.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (.f64 -1 (.f64 y (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1))))
(-.f64 (+.f64 (*.f64 -1/2 (log.f64 y)) x) z)
(-.f64 (+.f64 (.f64 y (+.f64 1 (.f64 -1 (log.f64 y)))) (+.f64 (*.f64 -1/2 (log.f64 y)) x)) z)
(-.f64 (+.f64 (.f64 y (+.f64 1 (.f64 -1 (log.f64 y)))) (+.f64 (*.f64 -1/2 (log.f64 y)) x)) z)
(-.f64 (+.f64 (.f64 y (+.f64 1 (.f64 -1 (log.f64 y)))) (+.f64 (*.f64 -1/2 (log.f64 y)) x)) z)
(*.f64 y (+.f64 1 (log.f64 (/.f64 1 y))))
(-.f64 (+.f64 x (+.f64 (.f64 1/2 (log.f64 (/.f64 1 y))) (.f64 y (+.f64 1 (log.f64 (/.f64 1 y)))))) z)
(-.f64 (+.f64 x (+.f64 (.f64 1/2 (log.f64 (/.f64 1 y))) (.f64 y (+.f64 1 (log.f64 (/.f64 1 y)))))) z)
(-.f64 (+.f64 x (+.f64 (.f64 1/2 (log.f64 (/.f64 1 y))) (.f64 y (+.f64 1 (log.f64 (/.f64 1 y)))))) z)
(.f64 -1 (.f64 y (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1)))
(-.f64 (+.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (+.f64 (.f64 -1 (.f64 y (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1))) x)) z)
(-.f64 (+.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (+.f64 (.f64 -1 (.f64 y (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1))) x)) z)
(-.f64 (+.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (+.f64 (.f64 -1 (.f64 y (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1))) x)) z)
(-.f64 (+.f64 (.f64 -1 (.f64 (+.f64 1/2 y) (log.f64 y))) y) z)
(-.f64 (+.f64 (.f64 -1 (.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)) z)
(-.f64 (+.f64 (.f64 -1 (.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)) z)
(-.f64 (+.f64 (.f64 -1 (.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)) z)
x
(-.f64 (+.f64 (.f64 -1 (.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)) z)
(-.f64 (+.f64 (.f64 -1 (.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)) z)
(-.f64 (+.f64 (.f64 -1 (.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)) z)
x
(-.f64 (+.f64 (.f64 -1 (.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)) z)
(-.f64 (+.f64 (.f64 -1 (.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)) z)
(-.f64 (+.f64 (.f64 -1 (.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)) z)
(+.f64 (.f64 -1 (.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x))
(+.f64 (.f64 -1 z) (+.f64 (.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)))
(+.f64 (.f64 -1 z) (+.f64 (.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)))
(+.f64 (.f64 -1 z) (+.f64 (.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)))
(*.f64 -1 z)
(+.f64 (.f64 -1 z) (+.f64 (.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)))
(+.f64 (.f64 -1 z) (+.f64 (.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)))
(+.f64 (.f64 -1 z) (+.f64 (.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)))
(*.f64 -1 z)
(+.f64 (.f64 -1 z) (+.f64 (.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)))
(+.f64 (.f64 -1 z) (+.f64 (.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)))
(+.f64 (.f64 -1 z) (+.f64 (.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)))

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

prune182.0ms (4.6%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	124	7	131
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	124	9	133

Error

0.0b

Counts

133 → 9

Alt Table

Status	Error	Program
	20.6b	(+.f64 (cbrt.f64 (pow.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) 3)) (-.f64 x z))
	0.7b	(fma.f64 (.f64 (cbrt.f64 (.f64 (log.f64 y) (-.f64 -1/2 y))) (cbrt.f64 (.f64 (log.f64 y) (-.f64 -1/2 y)))) (cbrt.f64 (.f64 (log.f64 y) (-.f64 -1/2 y))) (+.f64 y (-.f64 x z)))
	0.6b	(+.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) 3) (-.f64 x z))
▶	0.1b	(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)
	0.6b	(fma.f64 (*.f64 (log.f64 y) (pow.f64 (cbrt.f64 (-.f64 -1/2 y)) 2)) (cbrt.f64 (-.f64 -1/2 y)) (+.f64 y (-.f64 x z)))
	31.4b	(*.f64 (-.f64 (pow.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) 2) (pow.f64 (-.f64 x z) 2)) (/.f64 1 (+.f64 (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) x) z)))
	32.6b	(+.f64 (pow.f64 (sqrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) 2) (-.f64 x z))
✓	0.1b	(+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z))
	20.6b	(+.f64 (/.f64 (+.f64 (pow.f64 (.f64 (log.f64 y) (-.f64 -1/2 y)) 3) (pow.f64 y 3)) (fma.f64 (.f64 (log.f64 y) (-.f64 -1/2 y)) (.f64 (log.f64 y) (-.f64 -1/2 y)) (-.f64 (.f64 y y) (.f64 (.f64 (log.f64 y) (-.f64 -1/2 y)) y)))) (-.f64 x z))

Compiler

Compiled 2755 to 1442 computations (47.7% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)
✓	0.0b	(-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y)))
✓	0.1b	(+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y)
✓	0.2b	(*.f64 (+.f64 y 1/2) (log.f64 y))

series10.0ms (0.2%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	(*.f64 (+.f64 y 1/2) (log.f64 y))
1.0ms	y	@	0	(*.f64 (+.f64 y 1/2) (log.f64 y))
1.0ms	y	@	inf	(*.f64 (+.f64 y 1/2) (log.f64 y))
0.0ms	x	@	0	(+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y)
0.0ms	y	@	-inf	(-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y)))

rewrite119.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

468×	`fma-neg_binary64`
251×	`expm1-udef_binary64`
251×	`log1p-udef_binary64`
144×	`add-sqr-sqrt_binary64`
141×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	54
1	264	54
2	4117	54

Stop Event

1×	node limit

Counts

4 → 171

Calls

Call 1

Inputs
(*.f64 (+.f64 y 1/2) (log.f64 y))
(+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y)
(-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y)))
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 y (log.f64 y)) (.f64 1/2 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/2 (log.f64 y)) (.f64 y (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (log.f64 y) y) (.f64 (log.f64 y) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (log.f64 y) 1/2) (.f64 (log.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log.f64 (pow.f64 y (+.f64 y 1/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 1/8 (pow.f64 y 3)) (log.f64 y)) (fma.f64 y y (-.f64 1/4 (.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (fma.f64 y y -1/4) (log.f64 y)) (+.f64 y -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (log.f64 y) (+.f64 1/8 (pow.f64 y 3))) (fma.f64 y y (-.f64 1/4 (.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (log.f64 y) (fma.f64 y y -1/4)) (+.f64 y -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (pow.f64 y (+.f64 y 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (pow.f64 y (+.f64 y 1/2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (pow.f64 y (+.f64 y 1/2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (pow.f64 y (+.f64 y 1/2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (pow.f64 y (+.f64 y 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 y (+.f64 y 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (-.f64 (pow.f64 y (+.f64 y 1/2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (pow.f64 y (+.f64 y 1/2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (pow.f64 y (+.f64 y 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log.f64 (pow.f64 y (+.f64 y 1/2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 y (+.f64 y 1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (pow.f64 y (+.f64 y 1/2)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 x (-.f64 (log.f64 (pow.f64 y (+.f64 y 1/2))) y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 y (-.f64 x (log.f64 (pow.f64 y (+.f64 y 1/2))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (-.f64 x (log.f64 (pow.f64 y (+.f64 y 1/2)))) 2) (-.f64 (-.f64 x (log.f64 (pow.f64 y (+.f64 y 1/2)))) y)) (/.f64 (.f64 y y) (-.f64 (-.f64 x (log.f64 (pow.f64 y (+.f64 y 1/2)))) y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 y x) (log.f64 (pow.f64 y (+.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 y (-.f64 x (log.f64 (pow.f64 y (+.f64 y 1/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 y (-.f64 x (log.f64 (pow.f64 y (+.f64 y 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 y (-.f64 x (log.f64 (pow.f64 y (+.f64 y 1/2)))))) (pow.f64 (cbrt.f64 (+.f64 y (-.f64 x (log.f64 (pow.f64 y (+.f64 y 1/2)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (+.f64 y (-.f64 x (log.f64 (pow.f64 y (+.f64 y 1/2)))))) 2) (cbrt.f64 (+.f64 y (-.f64 x (log.f64 (pow.f64 y (+.f64 y 1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 y (-.f64 x (log.f64 (pow.f64 y (+.f64 y 1/2)))))) (sqrt.f64 (+.f64 y (-.f64 x (log.f64 (pow.f64 y (+.f64 y 1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 (-.f64 x (log.f64 (pow.f64 y (+.f64 y 1/2)))) 3) (pow.f64 y 3)) (/.f64 1 (+.f64 (pow.f64 (-.f64 x (log.f64 (pow.f64 y (+.f64 y 1/2)))) 2) (.f64 y (-.f64 y (-.f64 x (log.f64 (pow.f64 y (+.f64 y 1/2)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 (-.f64 x (log.f64 (pow.f64 y (+.f64 y 1/2)))) 2) (.f64 y y)) (/.f64 1 (-.f64 (-.f64 x (log.f64 (pow.f64 y (+.f64 y 1/2)))) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (-.f64 x (log.f64 (pow.f64 y (+.f64 y 1/2)))) 2) (.f64 y (-.f64 y (-.f64 x (log.f64 (pow.f64 y (+.f64 y 1/2))))))) (+.f64 (pow.f64 (-.f64 x (log.f64 (pow.f64 y (+.f64 y 1/2)))) 3) (pow.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (-.f64 x (log.f64 (pow.f64 y (+.f64 y 1/2)))) y) (-.f64 (pow.f64 (-.f64 x (log.f64 (pow.f64 y (+.f64 y 1/2)))) 2) (.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (-.f64 x (log.f64 (pow.f64 y (+.f64 y 1/2)))) 3) (pow.f64 y 3)) (+.f64 (pow.f64 (-.f64 x (log.f64 (pow.f64 y (+.f64 y 1/2)))) 2) (.f64 y (-.f64 y (-.f64 x (log.f64 (pow.f64 y (+.f64 y 1/2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (-.f64 x (log.f64 (pow.f64 y (+.f64 y 1/2)))) 3) (pow.f64 y 3)) (+.f64 (.f64 y y) (-.f64 (pow.f64 (-.f64 x (log.f64 (pow.f64 y (+.f64 y 1/2)))) 2) (.f64 y (-.f64 x (log.f64 (pow.f64 y (+.f64 y 1/2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (-.f64 x (log.f64 (pow.f64 y (+.f64 y 1/2)))) 2) (.f64 y y)) (-.f64 (-.f64 x (log.f64 (pow.f64 y (+.f64 y 1/2)))) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 x (log.f64 (pow.f64 y (+.f64 y 1/2)))) 3) (pow.f64 y 3))) (neg.f64 (+.f64 (pow.f64 (-.f64 x (log.f64 (pow.f64 y (+.f64 y 1/2)))) 2) (.f64 y (-.f64 y (-.f64 x (log.f64 (pow.f64 y (+.f64 y 1/2)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 x (log.f64 (pow.f64 y (+.f64 y 1/2)))) 2) (.f64 y y))) (neg.f64 (-.f64 (-.f64 x (log.f64 (pow.f64 y (+.f64 y 1/2)))) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (pow.f64 (-.f64 (log.f64 (pow.f64 y (+.f64 y 1/2))) y) 3)) (+.f64 (.f64 x x) (+.f64 (.f64 (-.f64 (log.f64 (pow.f64 y (+.f64 y 1/2))) y) (-.f64 (log.f64 (pow.f64 y (+.f64 y 1/2))) y)) (.f64 x (-.f64 (log.f64 (pow.f64 y (+.f64 y 1/2))) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 x x) (.f64 (-.f64 (log.f64 (pow.f64 y (+.f64 y 1/2))) y) (-.f64 (log.f64 (pow.f64 y (+.f64 y 1/2))) y))) (+.f64 x (-.f64 (log.f64 (pow.f64 y (+.f64 y 1/2))) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 y y) (pow.f64 (-.f64 x (log.f64 (pow.f64 y (+.f64 y 1/2)))) 2)) (-.f64 y (-.f64 x (log.f64 (pow.f64 y (+.f64 y 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 y (-.f64 x (log.f64 (pow.f64 y (+.f64 y 1/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 y (-.f64 x (log.f64 (pow.f64 y (+.f64 y 1/2)))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 y (-.f64 x (log.f64 (pow.f64 y (+.f64 y 1/2)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 y (-.f64 x (log.f64 (pow.f64 y (+.f64 y 1/2))))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 y (-.f64 x (log.f64 (pow.f64 y (+.f64 y 1/2))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (/.f64 (exp.f64 x) (pow.f64 y (+.f64 y 1/2))) (exp.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 y (-.f64 x (log.f64 (pow.f64 y (+.f64 y 1/2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 y (-.f64 x (log.f64 (pow.f64 y (+.f64 y 1/2))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 y (-.f64 x (log.f64 (pow.f64 y (+.f64 y 1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (+.f64 y (-.f64 x (log.f64 (pow.f64 y (+.f64 y 1/2)))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (neg.f64 (-.f64 (log.f64 (pow.f64 y (+.f64 y 1/2))) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 y (-.f64 x (log.f64 (pow.f64 y (+.f64 y 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (neg.f64 (-.f64 (log.f64 (pow.f64 y (+.f64 y 1/2))) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 x (log.f64 (pow.f64 y (+.f64 y 1/2)))) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 x (log.f64 (pow.f64 y (+.f64 y 1/2))))) 2) (cbrt.f64 (-.f64 x (log.f64 (pow.f64 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(pow.f64 y (+.f64 y 1/2)))) (-.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 y (-.f64 x (log.f64 (pow.f64 y (+.f64 y 1/2))))) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 x (log.f64 (pow.f64 y (+.f64 y 1/2))))) 2) (cbrt.f64 (-.f64 x (log.f64 (pow.f64 y (+.f64 y 1/2))))) (-.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 y (-.f64 x (log.f64 (pow.f64 y (+.f64 y 1/2)))))) (pow.f64 (cbrt.f64 (+.f64 y (-.f64 x (log.f64 (pow.f64 y (+.f64 y 1/2)))))) 2) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 y (-.f64 x (log.f64 (pow.f64 y (+.f64 y 1/2)))))) 2) (cbrt.f64 (+.f64 y (-.f64 x (log.f64 (pow.f64 y (+.f64 y 1/2)))))) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (neg.f64 (+.f64 (-.f64 (log.f64 (pow.f64 y (+.f64 y 1/2))) y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (neg.f64 (-.f64 (log.f64 (pow.f64 y (+.f64 y 1/2))) (-.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (neg.f64 (-.f64 (-.f64 (log.f64 (pow.f64 y (+.f64 y 1/2))) y) (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (+.f64 (-.f64 (log.f64 (pow.f64 y (+.f64 y 1/2))) y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (-.f64 (log.f64 (pow.f64 y (+.f64 y 1/2))) (-.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (-.f64 (-.f64 (log.f64 (pow.f64 y (+.f64 y 1/2))) y) (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 x (log.f64 (pow.f64 y (+.f64 y 1/2))))) (sqrt.f64 (-.f64 x (log.f64 (pow.f64 y (+.f64 y 1/2))))) (-.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 y (-.f64 x (log.f64 (pow.f64 y (+.f64 y 1/2)))))) (sqrt.f64 (+.f64 y (-.f64 x (log.f64 (pow.f64 y (+.f64 y 1/2)))))) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (+.f64 (-.f64 (log.f64 (pow.f64 y (+.f64 y 1/2))) y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (-.f64 (log.f64 (pow.f64 y (+.f64 y 1/2))) (-.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (-.f64 (-.f64 (log.f64 (pow.f64 y (+.f64 y 1/2))) y) (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (-.f64 x (log.f64 (pow.f64 y (+.f64 y 1/2)))) 3) (pow.f64 y 3)) (/.f64 1 (+.f64 (pow.f64 (-.f64 x (log.f64 (pow.f64 y (+.f64 y 1/2)))) 2) (.f64 y (-.f64 y (-.f64 x (log.f64 (pow.f64 y (+.f64 y 1/2)))))))) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (-.f64 x (log.f64 (pow.f64 y (+.f64 y 1/2)))) 2) (.f64 y y)) (/.f64 1 (-.f64 (-.f64 x (log.f64 (pow.f64 y (+.f64 y 1/2)))) y)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 x (-.f64 (log.f64 (pow.f64 y (+.f64 y 1/2))) (-.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 x (-.f64 (log.f64 (pow.f64 y (+.f64 y 1/2))) (-.f64 y z)))))))))

simplify87.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

520×	`fma-neg_binary64`
424×	`associate-+l-_binary64`
370×	`associate--l+_binary64`
295×	`sub-neg_binary64`
289×	`associate--r+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	70	1202
1	241	1160
2	692	1078
3	1929	1078

Stop Event

1×	node limit

Counts

267 → 213

Calls

Call 1

Inputs
(*.f64 1/2 (log.f64 y))
(+.f64 (.f64 1/2 (log.f64 y)) (.f64 y (log.f64 y)))
(+.f64 (.f64 1/2 (log.f64 y)) (.f64 y (log.f64 y)))
(+.f64 (.f64 1/2 (log.f64 y)) (.f64 y (log.f64 y)))
(.f64 -1 (.f64 y (log.f64 (/.f64 1 y))))
(+.f64 (.f64 -1/2 (log.f64 (/.f64 1 y))) (.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))))
(+.f64 (.f64 -1/2 (log.f64 (/.f64 1 y))) (.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))))
(+.f64 (.f64 -1/2 (log.f64 (/.f64 1 y))) (.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))))
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y)
(+.f64 (.f64 1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y))
(+.f64 (.f64 1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y))
(+.f64 (.f64 1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y))
(-.f64 y (*.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y)))
x
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y)))
x
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 x (*.f64 1/2 (log.f64 y)))
(-.f64 (+.f64 (.f64 (-.f64 1 (log.f64 y)) y) x) (.f64 1/2 (log.f64 y)))
(-.f64 (+.f64 (.f64 (-.f64 1 (log.f64 y)) y) x) (.f64 1/2 (log.f64 y)))
(-.f64 (+.f64 (.f64 (-.f64 1 (log.f64 y)) y) x) (.f64 1/2 (log.f64 y)))
(.f64 y (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 y)))))
(-.f64 (+.f64 (.f64 y (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 y))))) x) (*.f64 -1/2 (log.f64 (/.f64 1 y))))
(-.f64 (+.f64 (.f64 y (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 y))))) x) (*.f64 -1/2 (log.f64 (/.f64 1 y))))
(-.f64 (+.f64 (.f64 y (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 y))))) x) (*.f64 -1/2 (log.f64 (/.f64 1 y))))
(.f64 y (+.f64 1 (.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))))
(-.f64 (+.f64 (.f64 y (+.f64 1 (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) x) (.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(-.f64 (+.f64 (.f64 y (+.f64 1 (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) x) (.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(-.f64 (+.f64 (.f64 y (+.f64 1 (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) x) (.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(.f64 -1 (.f64 (+.f64 1/2 y) (log.f64 y)))
(+.f64 (.f64 -1 (.f64 (+.f64 1/2 y) (log.f64 y))) x)
(+.f64 (.f64 -1 (.f64 (+.f64 1/2 y) (log.f64 y))) x)
(+.f64 (.f64 -1 (.f64 (+.f64 1/2 y) (log.f64 y))) x)
x
(+.f64 (.f64 -1 (.f64 (+.f64 1/2 y) (log.f64 y))) x)
(+.f64 (.f64 -1 (.f64 (+.f64 1/2 y) (log.f64 y))) x)
(+.f64 (.f64 -1 (.f64 (+.f64 1/2 y) (log.f64 y))) x)
x
(+.f64 (.f64 -1 (.f64 (+.f64 1/2 y) (log.f64 y))) x)
(+.f64 (.f64 -1 (.f64 (+.f64 1/2 y) (log.f64 y))) x)
(+.f64 (.f64 -1 (.f64 (+.f64 1/2 y) (log.f64 y))) x)
(-.f64 x (*.f64 1/2 (log.f64 y)))
(-.f64 (+.f64 (.f64 -1 (.f64 y (log.f64 y))) x) (*.f64 1/2 (log.f64 y)))
(-.f64 (+.f64 (.f64 -1 (.f64 y (log.f64 y))) x) (*.f64 1/2 (log.f64 y)))
(-.f64 (+.f64 (.f64 -1 (.f64 y (log.f64 y))) x) (*.f64 1/2 (log.f64 y)))
(*.f64 y (log.f64 (/.f64 1 y)))
(-.f64 (+.f64 (.f64 y (log.f64 (/.f64 1 y))) x) (.f64 -1/2 (log.f64 (/.f64 1 y))))
(-.f64 (+.f64 (.f64 y (log.f64 (/.f64 1 y))) x) (.f64 -1/2 (log.f64 (/.f64 1 y))))
(-.f64 (+.f64 (.f64 y (log.f64 (/.f64 1 y))) x) (.f64 -1/2 (log.f64 (/.f64 1 y))))
(.f64 -1 (.f64 y (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(-.f64 (+.f64 (.f64 -1 (.f64 y (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) x) (.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(-.f64 (+.f64 (.f64 -1 (.f64 y (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) x) (.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(-.f64 (+.f64 (.f64 -1 (.f64 y (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) x) (.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(-.f64 y (+.f64 (*.f64 (+.f64 1/2 y) (log.f64 y)) z))
(-.f64 (+.f64 y x) (+.f64 (*.f64 (+.f64 1/2 y) (log.f64 y)) z))
(-.f64 (+.f64 y x) (+.f64 (*.f64 (+.f64 1/2 y) (log.f64 y)) z))
(-.f64 (+.f64 y x) (+.f64 (*.f64 (+.f64 1/2 y) (log.f64 y)) z))
x
(-.f64 (+.f64 y x) (+.f64 (*.f64 (+.f64 1/2 y) (log.f64 y)) z))
(-.f64 (+.f64 y x) (+.f64 (*.f64 (+.f64 1/2 y) (log.f64 y)) z))
(-.f64 (+.f64 y x) (+.f64 (*.f64 (+.f64 1/2 y) (log.f64 y)) z))
x
(-.f64 (+.f64 y x) (+.f64 (*.f64 (+.f64 1/2 y) (log.f64 y)) z))
(-.f64 (+.f64 y x) (+.f64 (*.f64 (+.f64 1/2 y) (log.f64 y)) z))
(-.f64 (+.f64 y x) (+.f64 (*.f64 (+.f64 1/2 y) (log.f64 y)) z))
(-.f64 x (+.f64 (*.f64 1/2 (log.f64 y)) z))
(-.f64 (+.f64 (.f64 (-.f64 1 (log.f64 y)) y) x) (+.f64 (.f64 1/2 (log.f64 y)) z))
(-.f64 (+.f64 (.f64 (-.f64 1 (log.f64 y)) y) x) (+.f64 (.f64 1/2 (log.f64 y)) z))
(-.f64 (+.f64 (.f64 (-.f64 1 (log.f64 y)) y) x) (+.f64 (.f64 1/2 (log.f64 y)) z))
(.f64 y (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 y)))))
(-.f64 (+.f64 (.f64 y (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 y))))) x) (+.f64 (*.f64 -1/2 (log.f64 (/.f64 1 y))) z))
(-.f64 (+.f64 (.f64 y (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 y))))) x) (+.f64 (*.f64 -1/2 (log.f64 (/.f64 1 y))) z))
(-.f64 (+.f64 (.f64 y (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 y))))) x) (+.f64 (*.f64 -1/2 (log.f64 (/.f64 1 y))) z))
(.f64 y (+.f64 1 (.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))))
(-.f64 (+.f64 (.f64 y (+.f64 1 (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) x) (+.f64 (.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) z))
(-.f64 (+.f64 (.f64 y (+.f64 1 (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) x) (+.f64 (.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) z))
(-.f64 (+.f64 (.f64 y (+.f64 1 (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) x) (+.f64 (.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) z))
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 (+.f64 (.f64 -1 z) (+.f64 y x)) (.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 (+.f64 (.f64 -1 z) (+.f64 y x)) (.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 (+.f64 (.f64 -1 z) (+.f64 y x)) (.f64 (+.f64 1/2 y) (log.f64 y)))
(*.f64 -1 z)
(-.f64 (+.f64 (.f64 -1 z) (+.f64 y x)) (.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 (+.f64 (.f64 -1 z) (+.f64 y x)) (.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 (+.f64 (.f64 -1 z) (+.f64 y x)) (.f64 (+.f64 1/2 y) (log.f64 y)))
(*.f64 -1 z)
(-.f64 (+.f64 (.f64 -1 z) (+.f64 y x)) (.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 (+.f64 (.f64 -1 z) (+.f64 y x)) (.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 (+.f64 (.f64 -1 z) (+.f64 y x)) (.f64 (+.f64 1/2 y) (log.f64 y)))

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

prune387.0ms (9.7%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	212	1	213
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	212	10	222

Error

0.0b

Counts

222 → 10

Alt Table

Status	Error	Program
	14.9b	(-.f64 (+.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 y y -1/4) (log.f64 y)) (+.f64 y -1/2))) y) z)
	31.4b	(*.f64 (-.f64 (pow.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) 2) (pow.f64 (-.f64 x z) 2)) (/.f64 1 (+.f64 (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) x) z)))
	20.6b	(+.f64 (cbrt.f64 (pow.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) 3)) (-.f64 x z))
	0.7b	(fma.f64 (.f64 (cbrt.f64 (.f64 (log.f64 y) (-.f64 -1/2 y))) (cbrt.f64 (.f64 (log.f64 y) (-.f64 -1/2 y)))) (cbrt.f64 (.f64 (log.f64 y) (-.f64 -1/2 y))) (+.f64 y (-.f64 x z)))
	0.6b	(+.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) 3) (-.f64 x z))
✓	0.1b	(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)
▶	0.6b	(fma.f64 (*.f64 (log.f64 y) (pow.f64 (cbrt.f64 (-.f64 -1/2 y)) 2)) (cbrt.f64 (-.f64 -1/2 y)) (+.f64 y (-.f64 x z)))
	32.6b	(+.f64 (pow.f64 (sqrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) 2) (-.f64 x z))
✓	0.1b	(+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z))
	20.6b	(+.f64 (/.f64 (+.f64 (pow.f64 (.f64 (log.f64 y) (-.f64 -1/2 y)) 3) (pow.f64 y 3)) (fma.f64 (.f64 (log.f64 y) (-.f64 -1/2 y)) (.f64 (log.f64 y) (-.f64 -1/2 y)) (-.f64 (.f64 y y) (.f64 (.f64 (log.f64 y) (-.f64 -1/2 y)) y)))) (-.f64 x z))

Compiler

Compiled 4603 to 2851 computations (38.1% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(fma.f64 (*.f64 (log.f64 y) (pow.f64 (cbrt.f64 (-.f64 -1/2 y)) 2)) (cbrt.f64 (-.f64 -1/2 y)) (+.f64 y (-.f64 x z)))
✓	0.3b	(cbrt.f64 (-.f64 -1/2 y))
✓	0.3b	(*.f64 (log.f64 y) (pow.f64 (cbrt.f64 (-.f64 -1/2 y)) 2))
✓	0.7b	(pow.f64 (cbrt.f64 (-.f64 -1/2 y)) 2)

series57.0ms (1.4%)

Counts

4 → 44

Calls

18 calls:

Time	Variable		Point	Expression
29.0ms	y	@	0	(pow.f64 (cbrt.f64 (-.f64 -1/2 y)) 2)
6.0ms	y	@	inf	(*.f64 (log.f64 y) (pow.f64 (cbrt.f64 (-.f64 -1/2 y)) 2))
6.0ms	x	@	0	(fma.f64 (*.f64 (log.f64 y) (pow.f64 (cbrt.f64 (-.f64 -1/2 y)) 2)) (cbrt.f64 (-.f64 -1/2 y)) (+.f64 y (-.f64 x z)))
3.0ms	y	@	0	(fma.f64 (*.f64 (log.f64 y) (pow.f64 (cbrt.f64 (-.f64 -1/2 y)) 2)) (cbrt.f64 (-.f64 -1/2 y)) (+.f64 y (-.f64 x z)))
3.0ms	y	@	0	(*.f64 (log.f64 y) (pow.f64 (cbrt.f64 (-.f64 -1/2 y)) 2))

rewrite60.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

275×	`expm1-udef_binary64`
275×	`log1p-udef_binary64`
160×	`add-sqr-sqrt_binary64`
155×	`pow1_binary64`
154×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	58
1	312	47
2	4145	47

Stop Event

1×	node limit

Counts

4 → 84

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 (-.f64 -1/2 y)) 2)
(*.f64 (log.f64 y) (pow.f64 (cbrt.f64 (-.f64 -1/2 y)) 2))
(cbrt.f64 (-.f64 -1/2 y))
(fma.f64 (*.f64 (log.f64 y) (pow.f64 (cbrt.f64 (-.f64 -1/2 y)) 2)) (cbrt.f64 (-.f64 -1/2 y)) (+.f64 y (-.f64 x z)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (-.f64 -1/2 y)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (-.f64 -1/2 y)) (cbrt.f64 (-.f64 -1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (-.f64 -1/2 y)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (cbrt.f64 (-.f64 -1/2 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 -1/2 y)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 -1/2 y)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 -1/2 y)) 2)) (.f64 (cbrt.f64 (cbrt.f64 (-.f64 -1/2 y))) (cbrt.f64 (-.f64 -1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 -1/2 y)) 4)) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 -1/2 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (-.f64 -1/2 y) 1/6) (.f64 (pow.f64 (-.f64 -1/2 y) 1/6) (cbrt.f64 (-.f64 -1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (-.f64 -1/2 y)) (pow.f64 (-.f64 -1/2 y) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (-.f64 -1/2 y)) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 -1/2 y)) 2))) (cbrt.f64 (cbrt.f64 (-.f64 -1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 -1/2 y)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 -1/2 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (-.f64 -1/2 y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 -1/2 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 2 (log.f64 (cbrt.f64 (-.f64 -1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (*.f64 2 (log.f64 (cbrt.f64 (-.f64 -1/2 y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (-.f64 -1/2 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (-.f64 -1/2 y)) 2)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 (cbrt.f64 (-.f64 -1/2 y)) 2) (log.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (cbrt.f64 (-.f64 -1/2 y)) 2) (log.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (pow.f64 (cbrt.f64 (-.f64 -1/2 y)) 2) (log.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (-.f64 -1/2 y)) 2) (log.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (cbrt.f64 (-.f64 -1/2 y)) (sqrt.f64 (log.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 (log.f64 y) 2) (pow.f64 (cbrt.f64 (-.f64 -1/2 y)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 y (pow.f64 (cbrt.f64 (-.f64 -1/2 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (-.f64 (pow.f64 y (pow.f64 (cbrt.f64 (-.f64 -1/2 y)) 2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (pow.f64 (cbrt.f64 (-.f64 -1/2 y)) 2) (log.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (-.f64 -1/2 y) 2) (pow.f64 (log.f64 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (log.f64 y) 3) (pow.f64 (-.f64 -1/2 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (pow.f64 (cbrt.f64 (-.f64 -1/2 y)) 2) (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (pow.f64 (cbrt.f64 (-.f64 -1/2 y)) 2) (log.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 y (pow.f64 (cbrt.f64 (-.f64 -1/2 y)) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 -1/2 y)) 2) (log.f64 y))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (-.f64 -1/2 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (-.f64 -1/2 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cbrt.f64 (-.f64 -1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (-.f64 -1/2 y))) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 -1/2 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 -1/2 y)) 2)) (cbrt.f64 (cbrt.f64 (-.f64 -1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (-.f64 -1/2 y) 1/6) (pow.f64 (-.f64 -1/2 y) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 -1/2 y)) 4))) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 -1/2 y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/3) (cbrt.f64 (-.f64 -1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (-.f64 -1/2 y)) 1/3) (pow.f64 (sqrt.f64 (-.f64 -1/2 y)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (-.f64 -1/8 (pow.f64 y 3))) (cbrt.f64 (+.f64 1/4 (.f64 y (+.f64 -1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (-.f64 1/4 (.f64 y y))) (cbrt.f64 (+.f64 -1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 -1/2 y) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 -1/2 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (-.f64 -1/2 y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 -1/2 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 -1/2 y) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 -1/2 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (-.f64 -1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (-.f64 -1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (-.f64 -1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (-.f64 -1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (-.f64 -1/2 y)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (-.f64 -1/2 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (-.f64 -1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (-.f64 -1/2 y))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 y (-.f64 x z)) (.f64 (log.f64 y) (-.f64 -1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (log.f64 y) (-.f64 -1/2 y)) (+.f64 y (-.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (log.f64 y) (-.f64 -1/2 y)) 1) (+.f64 y (-.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 (log.f64 y) (-.f64 -1/2 y)) y) (-.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 (log.f64 y) (-.f64 -1/2 y)) (-.f64 x z)) y)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (+.f64 y (-.f64 x z)) (.f64 (log.f64 y) (-.f64 -1/2 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 (log.f64 y) (-.f64 -1/2 y)) (+.f64 y x)) z)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (+.f64 y (-.f64 x z)) (.f64 (log.f64 y) (-.f64 -1/2 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (+.f64 y (-.f64 x z)) (.f64 (log.f64 y) (-.f64 -1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 (+.f64 y (-.f64 x z)) (.f64 (log.f64 y) (-.f64 -1/2 y)))) (cbrt.f64 (pow.f64 (+.f64 (+.f64 y (-.f64 x z)) (.f64 (log.f64 y) (-.f64 -1/2 y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (+.f64 (+.f64 y (-.f64 x z)) (.f64 (log.f64 y) (-.f64 -1/2 y))) 2)) (cbrt.f64 (+.f64 (+.f64 y (-.f64 x z)) (.f64 (log.f64 y) (-.f64 -1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 (+.f64 y (-.f64 x z)) (.f64 (log.f64 y) (-.f64 -1/2 y)))) (sqrt.f64 (+.f64 (+.f64 y (-.f64 x z)) (.f64 (log.f64 y) (-.f64 -1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 (log.f64 y) (-.f64 -1/2 y)) 3) (pow.f64 (+.f64 y (-.f64 x z)) 3)) (+.f64 (.f64 (.f64 (log.f64 y) (-.f64 -1/2 y)) (.f64 (log.f64 y) (-.f64 -1/2 y))) (-.f64 (pow.f64 (+.f64 y (-.f64 x z)) 2) (.f64 (.f64 (log.f64 y) (-.f64 -1/2 y)) (+.f64 y (-.f64 x z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 (log.f64 y) (-.f64 -1/2 y)) (.f64 (log.f64 y) (-.f64 -1/2 y))) (pow.f64 (+.f64 y (-.f64 x z)) 2)) (-.f64 (.f64 (log.f64 y) (-.f64 -1/2 y)) (+.f64 y (-.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (+.f64 y (-.f64 x z)) (.f64 (log.f64 y) (-.f64 -1/2 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (+.f64 y (-.f64 x z)) (.f64 (log.f64 y) (-.f64 -1/2 y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (+.f64 y (-.f64 x z)) (.f64 (log.f64 y) (-.f64 -1/2 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (+.f64 y (-.f64 x z)) (.f64 (log.f64 y) (-.f64 -1/2 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (+.f64 y (-.f64 x z)) (.f64 (log.f64 y) (-.f64 -1/2 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (+.f64 y (-.f64 x z)) (.f64 (log.f64 y) (-.f64 -1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (+.f64 y (-.f64 x z)) (.f64 (log.f64 y) (-.f64 -1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (+.f64 y (-.f64 x z)) (.f64 (log.f64 y) (-.f64 -1/2 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (+.f64 y (-.f64 x z)) (.f64 (log.f64 y) (-.f64 -1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (+.f64 (+.f64 y (-.f64 x z)) (.f64 (log.f64 y) (-.f64 -1/2 y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (+.f64 y (-.f64 x z)) (.f64 (log.f64 y) (-.f64 -1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (+.f64 y (-.f64 x z)) (.f64 (log.f64 y) (-.f64 -1/2 y)))))))))

simplify100.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

456×	`times-frac_binary64`
332×	`associate-/l*_binary64`
284×	`associate-/r*_binary64`
221×	`distribute-lft-in_binary64`
221×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	172	1639
1	544	1603
2	2024	1580

Stop Event

1×	node limit

Counts

128 → 127

Calls

Call 1

Inputs
(*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (cbrt.f64 1/2) 2))
(+.f64 (.f64 2/3 (.f64 (.f64 y (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (cbrt.f64 1/2) 1/3))) (.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (cbrt.f64 1/2) 2)))
(+.f64 (.f64 (+.f64 (.f64 -2/9 (.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3))) (.f64 1/9 (.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3)))) (pow.f64 y 2)) (+.f64 (.f64 2/3 (.f64 (.f64 y (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (cbrt.f64 1/2) 1/3))) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (cbrt.f64 1/2) 2))))
(+.f64 (.f64 (+.f64 (.f64 -2/9 (.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3))) (.f64 1/9 (.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3)))) (pow.f64 y 2)) (+.f64 (.f64 (pow.f64 y 3) (+.f64 (.f64 20/81 (pow.f64 (cbrt.f64 -1) 2)) (.f64 -4/27 (pow.f64 (cbrt.f64 -1) 2)))) (+.f64 (.f64 2/3 (.f64 (.f64 y (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (cbrt.f64 1/2) 1/3))) (.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (cbrt.f64 1/2) 2)))))
(.f64 (cbrt.f64 1/4) (.f64 (pow.f64 (cbrt.f64 -1) 2) (log.f64 y)))
(+.f64 (.f64 (cbrt.f64 1/4) (.f64 (pow.f64 (cbrt.f64 -1) 2) (log.f64 y))) (.f64 1/3 (.f64 (.f64 y (.f64 (pow.f64 (cbrt.f64 -1) 2) (log.f64 y))) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2)) 1/3))))
(+.f64 (.f64 1/3 (/.f64 (.f64 (-.f64 1 (.f64 1/3 (pow.f64 (/.f64 1 (cbrt.f64 1/4)) 1/3))) (.f64 (pow.f64 y 2) (.f64 (pow.f64 (cbrt.f64 -1) 2) (log.f64 y)))) (pow.f64 (cbrt.f64 1/4) 2))) (+.f64 (.f64 (cbrt.f64 1/4) (.f64 (pow.f64 (cbrt.f64 -1) 2) (log.f64 y))) (.f64 1/3 (.f64 (.f64 y (*.f64 (pow.f64 (cbrt.f64 -1) 2) (log.f64 y))) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2)) 1/3)))))
(+.f64 (.f64 1/3 (/.f64 (.f64 (-.f64 1 (.f64 1/3 (pow.f64 (/.f64 1 (cbrt.f64 1/4)) 1/3))) (.f64 (pow.f64 y 2) (.f64 (pow.f64 (cbrt.f64 -1) 2) (log.f64 y)))) (pow.f64 (cbrt.f64 1/4) 2))) (+.f64 (.f64 (cbrt.f64 1/4) (.f64 (pow.f64 (cbrt.f64 -1) 2) (log.f64 y))) (+.f64 (.f64 1/3 (.f64 (.f64 y (.f64 (pow.f64 (cbrt.f64 -1) 2) (log.f64 y))) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2)) 1/3))) (.f64 -1/3 (/.f64 (.f64 (pow.f64 y 3) (.f64 (+.f64 (.f64 2/3 (.f64 (-.f64 1 (.f64 1/3 (pow.f64 (/.f64 1 (cbrt.f64 1/4)) 1/3))) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 5)) 1/3))) (.f64 1/27 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2)))) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (log.f64 y)))) (pow.f64 (cbrt.f64 1/4) 2))))))
(*.f64 (cbrt.f64 -1) (cbrt.f64 1/2))
(+.f64 (.f64 1/3 (.f64 (.f64 y (cbrt.f64 -1)) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3))) (.f64 (cbrt.f64 -1) (cbrt.f64 1/2)))
(+.f64 (.f64 1/3 (.f64 (.f64 y (cbrt.f64 -1)) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3))) (+.f64 (.f64 (cbrt.f64 -1) (cbrt.f64 1/2)) (.f64 -1/9 (.f64 (*.f64 (pow.f64 y 2) (cbrt.f64 -1)) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7)) 1/3)))))
(+.f64 (.f64 1/3 (.f64 (.f64 y (cbrt.f64 -1)) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3))) (+.f64 (.f64 (cbrt.f64 -1) (cbrt.f64 1/2)) (+.f64 (.f64 5/81 (/.f64 (.f64 (pow.f64 y 3) (cbrt.f64 -1)) (pow.f64 (cbrt.f64 1/2) 4))) (.f64 -1/9 (.f64 (*.f64 (pow.f64 y 2) (cbrt.f64 -1)) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7)) 1/3))))))
(-.f64 (+.f64 (.f64 -1 (.f64 (cbrt.f64 1/4) (*.f64 (cbrt.f64 1/2) (log.f64 y)))) x) z)
(-.f64 (+.f64 (.f64 y (+.f64 1 (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2)) 1/3) (.f64 (cbrt.f64 1/2) (log.f64 y)))) (.f64 -1/3 (.f64 (.f64 (cbrt.f64 1/4) (log.f64 y)) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3)))))) (+.f64 (.f64 -1 (.f64 (cbrt.f64 1/4) (.f64 (cbrt.f64 1/2) (log.f64 y)))) x)) z)
(-.f64 (+.f64 (.f64 y (+.f64 1 (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2)) 1/3) (.f64 (cbrt.f64 1/2) (log.f64 y)))) (.f64 -1/3 (.f64 (.f64 (cbrt.f64 1/4) (log.f64 y)) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3)))))) (+.f64 (.f64 -1 (.f64 (cbrt.f64 1/4) (.f64 (cbrt.f64 1/2) (log.f64 y)))) (+.f64 (.f64 (+.f64 (.f64 1/9 (.f64 (.f64 (cbrt.f64 1/4) (log.f64 y)) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7)) 1/3))) (+.f64 (.f64 -1/3 (/.f64 (.f64 (-.f64 1 (.f64 1/3 (pow.f64 (/.f64 1 (cbrt.f64 1/4)) 1/3))) (.f64 (cbrt.f64 1/2) (log.f64 y))) (pow.f64 (cbrt.f64 1/4) 2))) (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 1/4) 2) (pow.f64 (cbrt.f64 1/2) 2))) 1/3) (log.f64 y))))) (pow.f64 y 2)) x))) z)
(-.f64 (+.f64 (.f64 y (+.f64 1 (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2)) 1/3) (.f64 (cbrt.f64 1/2) (log.f64 y)))) (.f64 -1/3 (.f64 (.f64 (cbrt.f64 1/4) (log.f64 y)) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3)))))) (+.f64 (.f64 -1 (.f64 (cbrt.f64 1/4) (.f64 (cbrt.f64 1/2) (log.f64 y)))) (+.f64 (.f64 (+.f64 (.f64 1/9 (.f64 (.f64 (cbrt.f64 1/4) (log.f64 y)) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7)) 1/3))) (+.f64 (.f64 -1/3 (/.f64 (.f64 (-.f64 1 (.f64 1/3 (pow.f64 (/.f64 1 (cbrt.f64 1/4)) 1/3))) (.f64 (cbrt.f64 1/2) (log.f64 y))) (pow.f64 (cbrt.f64 1/4) 2))) (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cbrt.f64 1/4) 2) (pow.f64 (cbrt.f64 1/2) 2))) 1/3) (log.f64 y))))) (pow.f64 y 2)) (+.f64 (.f64 (+.f64 (.f64 1/27 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cbrt.f64 1/4) 2) (pow.f64 (cbrt.f64 1/2) 7))) 1/3) (log.f64 y))) (+.f64 (.f64 -5/81 (/.f64 (.f64 (cbrt.f64 1/4) (log.f64 y)) (pow.f64 (cbrt.f64 1/2) 4))) (+.f64 (.f64 1/3 (/.f64 (.f64 (+.f64 (.f64 2/3 (.f64 (-.f64 1 (.f64 1/3 (pow.f64 (/.f64 1 (cbrt.f64 1/4)) 1/3))) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 5)) 1/3))) (.f64 1/27 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2)))) (.f64 (cbrt.f64 1/2) (log.f64 y))) (pow.f64 (cbrt.f64 1/4) 2))) (.f64 -1/9 (.f64 (/.f64 (.f64 (-.f64 1 (.f64 1/3 (pow.f64 (/.f64 1 (cbrt.f64 1/4)) 1/3))) (log.f64 y)) (pow.f64 (cbrt.f64 1/4) 2)) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3)))))) (pow.f64 y 3)) x)))) z)
y
(-.f64 (+.f64 y x) z)
y
(-.f64 (+.f64 y x) z)
(-.f64 (+.f64 (.f64 -1 (.f64 (+.f64 1/2 y) (log.f64 y))) y) z)
(-.f64 (+.f64 (.f64 -1 (.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)) z)
(-.f64 (+.f64 (.f64 -1 (.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)) z)
(-.f64 (+.f64 (.f64 -1 (.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)) z)
x
(-.f64 (+.f64 (.f64 -1 (.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)) z)
(-.f64 (+.f64 (.f64 -1 (.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)) z)
(-.f64 (+.f64 (.f64 -1 (.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)) z)
x
(-.f64 (+.f64 (.f64 -1 (.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)) z)
(-.f64 (+.f64 (.f64 -1 (.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)) z)
(-.f64 (+.f64 (.f64 -1 (.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)) z)
(+.f64 (.f64 -1 (.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x))
(+.f64 (.f64 -1 z) (+.f64 (.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)))
(+.f64 (.f64 -1 z) (+.f64 (.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)))
(+.f64 (.f64 -1 z) (+.f64 (.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)))
(*.f64 -1 z)
(+.f64 (.f64 -1 z) (+.f64 (.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)))
(+.f64 (.f64 -1 z) (+.f64 (.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)))
(+.f64 (.f64 -1 z) (+.f64 (.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)))
(*.f64 -1 z)
(+.f64 (.f64 -1 z) (+.f64 (.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)))
(+.f64 (.f64 -1 z) (+.f64 (.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)))
(+.f64 (.f64 -1 z) (+.f64 (.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)))

Outputs
(*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (cbrt.f64 1/2) 2))
(+.f64 (.f64 2/3 (.f64 (.f64 y (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (cbrt.f64 1/2) 1/3))) (.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (cbrt.f64 1/2) 2)))
(fma.f64 2/3 (.f64 y (.f64 (pow.f64 (cbrt.f64 -1) 2) (cbrt.f64 (cbrt.f64 1/2)))) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (cbrt.f64 1/2) 2)))
(fma.f64 (.f64 (.f64 2/3 y) (pow.f64 (cbrt.f64 -1) 2)) (cbrt.f64 (cbrt.f64 1/2)) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (cbrt.f64 1/2) 2)))
(fma.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (cbrt.f64 1/2) 2) (.f64 (cbrt.f64 (cbrt.f64 1/2)) (.f64 (*.f64 2/3 y) (pow.f64 (cbrt.f64 -1) 2))))
(+.f64 (.f64 (+.f64 (.f64 -2/9 (.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3))) (.f64 1/9 (.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3)))) (pow.f64 y 2)) (+.f64 (.f64 2/3 (.f64 (.f64 y (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (cbrt.f64 1/2) 1/3))) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (cbrt.f64 1/2) 2))))
(fma.f64 (.f64 (.f64 (pow.f64 (cbrt.f64 -1) 2) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)))) -1/9) (.f64 y y) (fma.f64 2/3 (.f64 y (.f64 (pow.f64 (cbrt.f64 -1) 2) (cbrt.f64 (cbrt.f64 1/2)))) (.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (cbrt.f64 1/2) 2))))
(fma.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4))) (.f64 (pow.f64 (cbrt.f64 -1) 2) -1/9)) (.f64 y y) (fma.f64 (.f64 (.f64 2/3 y) (pow.f64 (cbrt.f64 -1) 2)) (cbrt.f64 (cbrt.f64 1/2)) (.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (cbrt.f64 1/2) 2))))
(fma.f64 (.f64 (pow.f64 (cbrt.f64 -1) 2) (.f64 (cbrt.f64 (/.f64 2 (cbrt.f64 1/2))) -1/9)) (.f64 y y) (fma.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (cbrt.f64 1/2) 2) (.f64 (cbrt.f64 (cbrt.f64 1/2)) (.f64 (.f64 2/3 y) (pow.f64 (cbrt.f64 -1) 2)))))
(+.f64 (.f64 (+.f64 (.f64 -2/9 (.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3))) (.f64 1/9 (.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3)))) (pow.f64 y 2)) (+.f64 (.f64 (pow.f64 y 3) (+.f64 (.f64 20/81 (pow.f64 (cbrt.f64 -1) 2)) (.f64 -4/27 (pow.f64 (cbrt.f64 -1) 2)))) (+.f64 (.f64 2/3 (.f64 (.f64 y (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (cbrt.f64 1/2) 1/3))) (.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (cbrt.f64 1/2) 2)))))
(fma.f64 (.f64 (.f64 (pow.f64 (cbrt.f64 -1) 2) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)))) -1/9) (.f64 y y) (fma.f64 (pow.f64 y 3) (.f64 (pow.f64 (cbrt.f64 -1) 2) 8/81) (fma.f64 2/3 (.f64 y (.f64 (pow.f64 (cbrt.f64 -1) 2) (cbrt.f64 (cbrt.f64 1/2)))) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (cbrt.f64 1/2) 2)))))
(fma.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4))) (.f64 (pow.f64 (cbrt.f64 -1) 2) -1/9)) (.f64 y y) (fma.f64 (pow.f64 y 3) (.f64 (pow.f64 (cbrt.f64 -1) 2) 8/81) (fma.f64 (.f64 (.f64 2/3 y) (pow.f64 (cbrt.f64 -1) 2)) (cbrt.f64 (cbrt.f64 1/2)) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (cbrt.f64 1/2) 2)))))
(fma.f64 (.f64 (pow.f64 (cbrt.f64 -1) 2) (.f64 (cbrt.f64 (/.f64 2 (cbrt.f64 1/2))) -1/9)) (.f64 y y) (+.f64 (.f64 (pow.f64 (cbrt.f64 -1) 2) (+.f64 (.f64 8/81 (pow.f64 y 3)) (pow.f64 (cbrt.f64 1/2) 2))) (.f64 (cbrt.f64 (cbrt.f64 1/2)) (.f64 (.f64 2/3 y) (pow.f64 (cbrt.f64 -1) 2)))))
(.f64 (cbrt.f64 1/4) (.f64 (pow.f64 (cbrt.f64 -1) 2) (log.f64 y)))
(.f64 (pow.f64 (cbrt.f64 -1) 2) (.f64 (cbrt.f64 1/4) (log.f64 y)))
(+.f64 (.f64 (cbrt.f64 1/4) (.f64 (pow.f64 (cbrt.f64 -1) 2) (log.f64 y))) (.f64 1/3 (.f64 (.f64 y (.f64 (pow.f64 (cbrt.f64 -1) 2) (log.f64 y))) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2)) 1/3))))
(fma.f64 (cbrt.f64 1/4) (.f64 (pow.f64 (cbrt.f64 -1) 2) (log.f64 y)) (.f64 1/3 (.f64 y (.f64 (*.f64 (pow.f64 (cbrt.f64 -1) 2) (log.f64 y)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2)))))))
(fma.f64 1/3 (.f64 y (.f64 (pow.f64 (cbrt.f64 -1) 2) (.f64 (log.f64 y) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2)))))) (.f64 (pow.f64 (cbrt.f64 -1) 2) (*.f64 (cbrt.f64 1/4) (log.f64 y))))
(fma.f64 1/3 (.f64 y (.f64 (.f64 (pow.f64 (cbrt.f64 -1) 2) (log.f64 y)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2))))) (.f64 (pow.f64 (cbrt.f64 -1) 2) (*.f64 (cbrt.f64 1/4) (log.f64 y))))
(+.f64 (.f64 1/3 (/.f64 (.f64 (-.f64 1 (.f64 1/3 (pow.f64 (/.f64 1 (cbrt.f64 1/4)) 1/3))) (.f64 (pow.f64 y 2) (.f64 (pow.f64 (cbrt.f64 -1) 2) (log.f64 y)))) (pow.f64 (cbrt.f64 1/4) 2))) (+.f64 (.f64 (cbrt.f64 1/4) (.f64 (pow.f64 (cbrt.f64 -1) 2) (log.f64 y))) (.f64 1/3 (.f64 (.f64 y (*.f64 (pow.f64 (cbrt.f64 -1) 2) (log.f64 y))) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2)) 1/3)))))
(fma.f64 1/3 (/.f64 (+.f64 1 (.f64 -1/3 (cbrt.f64 (/.f64 1 (cbrt.f64 1/4))))) (/.f64 (pow.f64 (cbrt.f64 1/4) 2) (.f64 (.f64 y y) (.f64 (pow.f64 (cbrt.f64 -1) 2) (log.f64 y))))) (fma.f64 (cbrt.f64 1/4) (.f64 (pow.f64 (cbrt.f64 -1) 2) (log.f64 y)) (.f64 1/3 (.f64 y (.f64 (*.f64 (pow.f64 (cbrt.f64 -1) 2) (log.f64 y)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2))))))))
(fma.f64 1/3 (.f64 (/.f64 (+.f64 1 (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 1/4))) -1/3)) (pow.f64 (cbrt.f64 1/4) 2)) (.f64 (pow.f64 (cbrt.f64 -1) 2) (.f64 (log.f64 y) (.f64 y y)))) (fma.f64 1/3 (.f64 y (.f64 (pow.f64 (cbrt.f64 -1) 2) (.f64 (log.f64 y) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2)))))) (.f64 (pow.f64 (cbrt.f64 -1) 2) (.f64 (cbrt.f64 1/4) (log.f64 y)))))
(fma.f64 1/3 (.f64 (/.f64 (+.f64 1 (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 1/4))) -1/3)) (pow.f64 (cbrt.f64 1/4) 2)) (.f64 (pow.f64 (cbrt.f64 -1) 2) (.f64 (log.f64 y) (.f64 y y)))) (fma.f64 1/3 (.f64 y (.f64 (.f64 (pow.f64 (cbrt.f64 -1) 2) (log.f64 y)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2))))) (.f64 (pow.f64 (cbrt.f64 -1) 2) (.f64 (cbrt.f64 1/4) (log.f64 y)))))
(+.f64 (.f64 1/3 (/.f64 (.f64 (-.f64 1 (.f64 1/3 (pow.f64 (/.f64 1 (cbrt.f64 1/4)) 1/3))) (.f64 (pow.f64 y 2) (.f64 (pow.f64 (cbrt.f64 -1) 2) (log.f64 y)))) (pow.f64 (cbrt.f64 1/4) 2))) (+.f64 (.f64 (cbrt.f64 1/4) (.f64 (pow.f64 (cbrt.f64 -1) 2) (log.f64 y))) (+.f64 (.f64 1/3 (.f64 (.f64 y (.f64 (pow.f64 (cbrt.f64 -1) 2) (log.f64 y))) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2)) 1/3))) (.f64 -1/3 (/.f64 (.f64 (pow.f64 y 3) (.f64 (+.f64 (.f64 2/3 (.f64 (-.f64 1 (.f64 1/3 (pow.f64 (/.f64 1 (cbrt.f64 1/4)) 1/3))) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 5)) 1/3))) (.f64 1/27 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2)))) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (log.f64 y)))) (pow.f64 (cbrt.f64 1/4) 2))))))
(fma.f64 1/3 (/.f64 (+.f64 1 (.f64 -1/3 (cbrt.f64 (/.f64 1 (cbrt.f64 1/4))))) (/.f64 (pow.f64 (cbrt.f64 1/4) 2) (.f64 (.f64 y y) (.f64 (pow.f64 (cbrt.f64 -1) 2) (log.f64 y))))) (fma.f64 (cbrt.f64 1/4) (.f64 (pow.f64 (cbrt.f64 -1) 2) (log.f64 y)) (fma.f64 1/3 (.f64 y (.f64 (.f64 (pow.f64 (cbrt.f64 -1) 2) (log.f64 y)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2))))) (.f64 -1/3 (/.f64 (pow.f64 y 3) (/.f64 (pow.f64 (cbrt.f64 1/4) 2) (.f64 (.f64 (pow.f64 (cbrt.f64 -1) 2) (log.f64 y)) (fma.f64 2/3 (.f64 (+.f64 1 (*.f64 -1/3 (cbrt.f64 (/.f64 1 (cbrt.f64 1/4))))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 5)))) (/.f64 1/27 (pow.f64 (cbrt.f64 1/4) 2))))))))))
(fma.f64 1/3 (.f64 (/.f64 (+.f64 1 (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 1/4))) -1/3)) (pow.f64 (cbrt.f64 1/4) 2)) (.f64 (pow.f64 (cbrt.f64 -1) 2) (.f64 (log.f64 y) (.f64 y y)))) (fma.f64 (cbrt.f64 1/4) (.f64 (pow.f64 (cbrt.f64 -1) 2) (log.f64 y)) (fma.f64 1/3 (.f64 y (.f64 (pow.f64 (cbrt.f64 -1) 2) (.f64 (log.f64 y) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2)))))) (/.f64 (.f64 (pow.f64 y 3) -1/3) (/.f64 (/.f64 (pow.f64 (cbrt.f64 1/4) 2) (.f64 (pow.f64 (cbrt.f64 -1) 2) (log.f64 y))) (fma.f64 2/3 (.f64 (+.f64 1 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 1/4))) -1/3)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 5)))) (/.f64 1/27 (pow.f64 (cbrt.f64 1/4) 2))))))))
(fma.f64 1/3 (.f64 (/.f64 (+.f64 1 (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 1/4))) -1/3)) (pow.f64 (cbrt.f64 1/4) 2)) (.f64 (pow.f64 (cbrt.f64 -1) 2) (.f64 (log.f64 y) (.f64 y y)))) (fma.f64 (cbrt.f64 1/4) (.f64 (pow.f64 (cbrt.f64 -1) 2) (log.f64 y)) (fma.f64 1/3 (.f64 y (.f64 (.f64 (pow.f64 (cbrt.f64 -1) 2) (log.f64 y)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2))))) (.f64 (/.f64 -1/3 (pow.f64 (cbrt.f64 1/4) 2)) (.f64 (.f64 (pow.f64 (cbrt.f64 -1) 2) (log.f64 y)) (.f64 (pow.f64 y 3) (fma.f64 (+.f64 2/3 (.f64 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 1/4))) -1/3) 2/3)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 5))) (/.f64 1/27 (pow.f64 (cbrt.f64 1/4) 2)))))))))
(*.f64 (cbrt.f64 -1) (cbrt.f64 1/2))
(+.f64 (.f64 1/3 (.f64 (.f64 y (cbrt.f64 -1)) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3))) (.f64 (cbrt.f64 -1) (cbrt.f64 1/2)))
(fma.f64 1/3 (.f64 (.f64 (cbrt.f64 -1) y) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)))) (*.f64 (cbrt.f64 -1) (cbrt.f64 1/2)))
(fma.f64 (cbrt.f64 -1) (cbrt.f64 1/2) (.f64 y (.f64 (*.f64 (cbrt.f64 -1) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)))) 1/3)))
(fma.f64 (cbrt.f64 -1) (cbrt.f64 1/2) (.f64 (.f64 (cbrt.f64 -1) y) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))) 1/3)))
(+.f64 (.f64 1/3 (.f64 (.f64 y (cbrt.f64 -1)) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3))) (+.f64 (.f64 (cbrt.f64 -1) (cbrt.f64 1/2)) (.f64 -1/9 (.f64 (*.f64 (pow.f64 y 2) (cbrt.f64 -1)) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7)) 1/3)))))
(fma.f64 1/3 (.f64 (.f64 (cbrt.f64 -1) y) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)))) (fma.f64 (cbrt.f64 -1) (cbrt.f64 1/2) (.f64 -1/9 (.f64 (.f64 (cbrt.f64 -1) (.f64 y y)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7)))))))
(fma.f64 1/3 (.f64 y (.f64 (cbrt.f64 -1) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))))) (fma.f64 (cbrt.f64 -1) (cbrt.f64 1/2) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7))) (.f64 -1/9 (.f64 (cbrt.f64 -1) (.f64 y y))))))
(fma.f64 1/3 (.f64 (cbrt.f64 -1) (.f64 y (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))))) (fma.f64 (cbrt.f64 -1) (cbrt.f64 1/2) (.f64 (.f64 y y) (.f64 (.f64 (cbrt.f64 -1) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7)))) -1/9))))
(+.f64 (.f64 1/3 (.f64 (.f64 y (cbrt.f64 -1)) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3))) (+.f64 (.f64 (cbrt.f64 -1) (cbrt.f64 1/2)) (+.f64 (.f64 5/81 (/.f64 (.f64 (pow.f64 y 3) (cbrt.f64 -1)) (pow.f64 (cbrt.f64 1/2) 4))) (.f64 -1/9 (.f64 (*.f64 (pow.f64 y 2) (cbrt.f64 -1)) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7)) 1/3))))))
(fma.f64 1/3 (.f64 (.f64 (cbrt.f64 -1) y) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)))) (fma.f64 (cbrt.f64 -1) (cbrt.f64 1/2) (fma.f64 5/81 (/.f64 (pow.f64 y 3) (/.f64 (pow.f64 (cbrt.f64 1/2) 4) (cbrt.f64 -1))) (.f64 -1/9 (.f64 (.f64 (cbrt.f64 -1) (.f64 y y)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7))))))))
(fma.f64 1/3 (.f64 y (.f64 (cbrt.f64 -1) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))))) (fma.f64 (cbrt.f64 -1) (cbrt.f64 1/2) (fma.f64 -1/9 (.f64 (cbrt.f64 -1) (.f64 (.f64 y y) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7))))) (.f64 5/81 (*.f64 (/.f64 (pow.f64 y 3) (pow.f64 (cbrt.f64 1/2) 4)) (cbrt.f64 -1))))))
(fma.f64 1/3 (.f64 (cbrt.f64 -1) (.f64 y (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))))) (fma.f64 (cbrt.f64 -1) (cbrt.f64 1/2) (fma.f64 -1/9 (.f64 (cbrt.f64 -1) (.f64 (.f64 y y) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7))))) (.f64 (/.f64 (*.f64 (cbrt.f64 -1) (pow.f64 y 3)) (cbrt.f64 1/2)) 10/81))))
(-.f64 (+.f64 (.f64 -1 (.f64 (cbrt.f64 1/4) (*.f64 (cbrt.f64 1/2) (log.f64 y)))) x) z)
(-.f64 (fma.f64 -1 (.f64 (cbrt.f64 1/4) (.f64 (cbrt.f64 1/2) (log.f64 y))) x) z)
(-.f64 (fma.f64 (neg.f64 (cbrt.f64 1/4)) (*.f64 (cbrt.f64 1/2) (log.f64 y)) x) z)
(fma.f64 (neg.f64 (cbrt.f64 1/4)) (*.f64 (cbrt.f64 1/2) (log.f64 y)) (-.f64 x z))
(-.f64 (+.f64 (.f64 y (+.f64 1 (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2)) 1/3) (.f64 (cbrt.f64 1/2) (log.f64 y)))) (.f64 -1/3 (.f64 (.f64 (cbrt.f64 1/4) (log.f64 y)) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3)))))) (+.f64 (.f64 -1 (.f64 (cbrt.f64 1/4) (.f64 (cbrt.f64 1/2) (log.f64 y)))) x)) z)
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(*.f64 -1 z)
(neg.f64 z)
(+.f64 (.f64 -1 z) (+.f64 (.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)))
(-.f64 (fma.f64 -1 (*.f64 (log.f64 y) (+.f64 1/2 y)) (+.f64 y x)) z)
(+.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 1/2 y))) (-.f64 x z))
(-.f64 (+.f64 y x) (+.f64 z (*.f64 (log.f64 y) (+.f64 1/2 y))))
(+.f64 (.f64 -1 z) (+.f64 (.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)))
(-.f64 (fma.f64 -1 (*.f64 (log.f64 y) (+.f64 1/2 y)) (+.f64 y x)) z)
(+.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 1/2 y))) (-.f64 x z))
(-.f64 (+.f64 y x) (+.f64 z (*.f64 (log.f64 y) (+.f64 1/2 y))))
(+.f64 (.f64 -1 z) (+.f64 (.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)))
(-.f64 (fma.f64 -1 (*.f64 (log.f64 y) (+.f64 1/2 y)) (+.f64 y x)) z)
(+.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 1/2 y))) (-.f64 x z))
(-.f64 (+.f64 y x) (+.f64 z (*.f64 (log.f64 y) (+.f64 1/2 y))))
(*.f64 -1 z)
(neg.f64 z)
(+.f64 (.f64 -1 z) (+.f64 (.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)))
(-.f64 (fma.f64 -1 (*.f64 (log.f64 y) (+.f64 1/2 y)) (+.f64 y x)) z)
(+.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 1/2 y))) (-.f64 x z))
(-.f64 (+.f64 y x) (+.f64 z (*.f64 (log.f64 y) (+.f64 1/2 y))))
(+.f64 (.f64 -1 z) (+.f64 (.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)))
(-.f64 (fma.f64 -1 (*.f64 (log.f64 y) (+.f64 1/2 y)) (+.f64 y x)) z)
(+.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 1/2 y))) (-.f64 x z))
(-.f64 (+.f64 y x) (+.f64 z (*.f64 (log.f64 y) (+.f64 1/2 y))))
(+.f64 (.f64 -1 z) (+.f64 (.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)))
(-.f64 (fma.f64 -1 (*.f64 (log.f64 y) (+.f64 1/2 y)) (+.f64 y x)) z)
(+.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 1/2 y))) (-.f64 x z))
(-.f64 (+.f64 y x) (+.f64 z (*.f64 (log.f64 y) (+.f64 1/2 y))))

prune312.0ms (7.8%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	156	3	159
Fresh	3	4	7
Picked	0	1	1
Done	0	2	2
Total	159	10	169

Error

0.0b

Counts

169 → 10

Alt Table

Status	Error	Program
	0.6b	(+.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) 3) (-.f64 x z))
✓	0.1b	(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)
▶	0.6b	(fma.f64 (.f64 (log.f64 y) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 -1/2 y)) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 -1/2 y))) (cbrt.f64 (-.f64 -1/2 y))))) (cbrt.f64 (-.f64 -1/2 y)) (+.f64 y (-.f64 x z)))
	0.7b	(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 -1/2 y)) 2) (log.f64 y))) 3) (cbrt.f64 (-.f64 -1/2 y)) (+.f64 y (-.f64 x z)))
✓	0.6b	(fma.f64 (*.f64 (log.f64 y) (pow.f64 (cbrt.f64 (-.f64 -1/2 y)) 2)) (cbrt.f64 (-.f64 -1/2 y)) (+.f64 y (-.f64 x z)))
	7.1b	(fma.f64 (.f64 (log.f64 y) (pow.f64 (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 -1/2 y)) 4))) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 -1/2 y)) 2)))) 2)) (cbrt.f64 (-.f64 -1/2 y)) (+.f64 y (-.f64 x z)))
	14.9b	(-.f64 (+.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 y y -1/4) (log.f64 y)) (+.f64 y -1/2))) y) z)
	32.6b	(+.f64 (pow.f64 (sqrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) 2) (-.f64 x z))
	0.7b	(fma.f64 (.f64 (cbrt.f64 (.f64 (log.f64 y) (-.f64 -1/2 y))) (cbrt.f64 (.f64 (log.f64 y) (-.f64 -1/2 y)))) (cbrt.f64 (.f64 (log.f64 y) (-.f64 -1/2 y))) (+.f64 y (-.f64 x z)))
✓	0.1b	(+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z))

Compiler

Compiled 5159 to 3536 computations (31.5% saved)

localize18.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (log.f64 y) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 -1/2 y)) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 -1/2 y))) (cbrt.f64 (-.f64 -1/2 y)))))
✓	0.6b	(*.f64 (cbrt.f64 (cbrt.f64 (-.f64 -1/2 y))) (cbrt.f64 (-.f64 -1/2 y)))
	0.7b	(pow.f64 (cbrt.f64 (-.f64 -1/2 y)) 2)
✓	0.8b	(cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 -1/2 y)) 2))

series12.0ms (0.3%)

Counts

3 → 28

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	y	@	inf	(cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 -1/2 y)) 2))
2.0ms	y	@	0	(*.f64 (cbrt.f64 (cbrt.f64 (-.f64 -1/2 y))) (cbrt.f64 (-.f64 -1/2 y)))
2.0ms	y	@	inf	(*.f64 (cbrt.f64 (cbrt.f64 (-.f64 -1/2 y))) (cbrt.f64 (-.f64 -1/2 y)))
2.0ms	y	@	0	(cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 -1/2 y)) 2))
1.0ms	y	@	-inf	(cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 -1/2 y)) 2))

rewrite54.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

512×	`log-prod_binary64`
189×	`expm1-udef_binary64`
189×	`log1p-udef_binary64`
164×	`log-pow_binary64`
128×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	57
1	271	36
2	3170	36

Stop Event

1×	node limit

Counts

3 → 66

Calls

Call 1

Inputs

(cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 -1/2 y)) 2))

(*.f64 (cbrt.f64 (cbrt.f64 (-.f64 -1/2 y))) (cbrt.f64 (-.f64 -1/2 y)))

(*.f64 (log.f64 y) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 -1/2 y)) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 -1/2 y))) (cbrt.f64 (-.f64 -1/2 y)))))

Outputs

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

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

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

simplify62.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

673×	`unswap-sqr_binary64`
461×	`*-commutative_binary64`
215×	`times-frac_binary64`
175×	`associate-r_binary64`
158×	`associate-/l*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	161	1863
1	460	1711
2	1571	1604
3	4139	1595

Stop Event

1×	node limit

Counts

94 → 122

Calls

Call 1

Inputs
(*.f64 (pow.f64 1/4 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 2) 1/3))
(+.f64 (.f64 4/9 (.f64 (pow.f64 1/4 1/9) (.f64 y (pow.f64 (pow.f64 (cbrt.f64 -1) 2) 1/3)))) (.f64 (pow.f64 1/4 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 2) 1/3)))
(+.f64 (.f64 -28/81 (.f64 (pow.f64 1/4 1/9) (.f64 (pow.f64 y 2) (pow.f64 (pow.f64 (cbrt.f64 -1) 2) 1/3)))) (+.f64 (.f64 4/9 (.f64 (pow.f64 1/4 1/9) (.f64 y (pow.f64 (pow.f64 (cbrt.f64 -1) 2) 1/3)))) (*.f64 (pow.f64 1/4 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 2) 1/3))))
(+.f64 (.f64 -28/81 (.f64 (pow.f64 1/4 1/9) (.f64 (pow.f64 y 2) (pow.f64 (pow.f64 (cbrt.f64 -1) 2) 1/3)))) (+.f64 (.f64 4/9 (.f64 (pow.f64 1/4 1/9) (.f64 y (pow.f64 (pow.f64 (cbrt.f64 -1) 2) 1/3)))) (+.f64 (.f64 896/2187 (.f64 (pow.f64 1/4 1/9) (.f64 (pow.f64 y 3) (pow.f64 (pow.f64 (cbrt.f64 -1) 2) 1/3)))) (.f64 (pow.f64 1/4 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 2) 1/3)))))
(*.f64 (pow.f64 (pow.f64 y 2) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 2) 1/3))
(+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 y 7)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 2) 1/3))) (*.f64 (pow.f64 (pow.f64 y 2) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 2) 1/3)))
(+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 y 7)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 2) 1/3))) (+.f64 (.f64 (pow.f64 (pow.f64 y 2) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 2) 1/3)) (.f64 -7/324 (*.f64 (pow.f64 (/.f64 1 (pow.f64 y 16)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 2) 1/3)))))
(+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 y 7)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 2) 1/3))) (+.f64 (.f64 14/2187 (.f64 (pow.f64 (/.f64 1 (pow.f64 y 25)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 2) 1/3))) (+.f64 (.f64 (pow.f64 (pow.f64 y 2) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 2) 1/3)) (.f64 -7/324 (*.f64 (pow.f64 (/.f64 1 (pow.f64 y 16)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 2) 1/3))))))
(pow.f64 (pow.f64 y 2) 1/9)
(+.f64 (pow.f64 (pow.f64 y 2) 1/9) (*.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 y 7)) 1/9)))
(+.f64 (.f64 -7/324 (pow.f64 (/.f64 1 (pow.f64 y 16)) 1/9)) (+.f64 (pow.f64 (pow.f64 y 2) 1/9) (.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 y 7)) 1/9))))
(+.f64 (.f64 14/2187 (pow.f64 (/.f64 1 (pow.f64 y 25)) 1/9)) (+.f64 (.f64 -7/324 (pow.f64 (/.f64 1 (pow.f64 y 16)) 1/9)) (+.f64 (pow.f64 (pow.f64 y 2) 1/9) (*.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 y 7)) 1/9)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3) (pow.f64 1/16 1/9))
(+.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3) (pow.f64 1/16 1/9)) (.f64 8/9 (.f64 y (.f64 (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3) (pow.f64 1/16 1/9)))))
(+.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3) (pow.f64 1/16 1/9)) (+.f64 (.f64 8/9 (.f64 y (.f64 (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3) (pow.f64 1/16 1/9)))) (.f64 -40/81 (.f64 (pow.f64 y 2) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3) (pow.f64 1/16 1/9))))))
(+.f64 (.f64 1120/2187 (.f64 (pow.f64 y 3) (.f64 (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3) (pow.f64 1/16 1/9)))) (+.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3) (pow.f64 1/16 1/9)) (+.f64 (.f64 8/9 (.f64 y (.f64 (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3) (pow.f64 1/16 1/9)))) (.f64 -40/81 (.f64 (pow.f64 y 2) (.f64 (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3) (pow.f64 1/16 1/9)))))))
(*.f64 (pow.f64 (pow.f64 y 4) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))
(+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 y 5)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))) (*.f64 (pow.f64 (pow.f64 y 4) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3)))
(+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 y 5)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))) (+.f64 (.f64 (pow.f64 (pow.f64 y 4) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3)) (.f64 -5/162 (*.f64 (pow.f64 (/.f64 1 (pow.f64 y 14)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3)))))
(+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 y 5)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))) (+.f64 (.f64 (pow.f64 (pow.f64 y 4) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3)) (+.f64 (.f64 35/4374 (.f64 (pow.f64 (/.f64 1 (pow.f64 y 23)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))) (.f64 -5/162 (*.f64 (pow.f64 (/.f64 1 (pow.f64 y 14)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))))))
(pow.f64 (pow.f64 y 4) 1/9)
(+.f64 (*.f64 2/9 (pow.f64 (/.f64 1 (pow.f64 y 5)) 1/9)) (pow.f64 (pow.f64 y 4) 1/9))
(+.f64 (.f64 2/9 (pow.f64 (/.f64 1 (pow.f64 y 5)) 1/9)) (+.f64 (.f64 -5/162 (pow.f64 (/.f64 1 (pow.f64 y 14)) 1/9)) (pow.f64 (pow.f64 y 4) 1/9)))
(+.f64 (.f64 2/9 (pow.f64 (/.f64 1 (pow.f64 y 5)) 1/9)) (+.f64 (.f64 -5/162 (pow.f64 (/.f64 1 (pow.f64 y 14)) 1/9)) (+.f64 (*.f64 35/4374 (pow.f64 (/.f64 1 (pow.f64 y 23)) 1/9)) (pow.f64 (pow.f64 y 4) 1/9))))
(.f64 (cbrt.f64 1/4) (.f64 (pow.f64 (cbrt.f64 -1) 2) (log.f64 y)))
(+.f64 (.f64 (cbrt.f64 1/4) (.f64 (pow.f64 (cbrt.f64 -1) 2) (log.f64 y))) (.f64 1/3 (.f64 (.f64 y (.f64 (pow.f64 (cbrt.f64 -1) 2) (log.f64 y))) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2)) 1/3))))
(+.f64 (.f64 1/3 (/.f64 (.f64 (-.f64 1 (.f64 1/3 (pow.f64 (/.f64 1 (cbrt.f64 1/4)) 1/3))) (.f64 (pow.f64 y 2) (.f64 (pow.f64 (cbrt.f64 -1) 2) (log.f64 y)))) (pow.f64 (cbrt.f64 1/4) 2))) (+.f64 (.f64 (cbrt.f64 1/4) (.f64 (pow.f64 (cbrt.f64 -1) 2) (log.f64 y))) (.f64 1/3 (.f64 (.f64 y (*.f64 (pow.f64 (cbrt.f64 -1) 2) (log.f64 y))) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2)) 1/3)))))
(+.f64 (.f64 1/3 (/.f64 (.f64 (-.f64 1 (.f64 1/3 (pow.f64 (/.f64 1 (cbrt.f64 1/4)) 1/3))) (.f64 (pow.f64 y 2) (.f64 (pow.f64 (cbrt.f64 -1) 2) (log.f64 y)))) (pow.f64 (cbrt.f64 1/4) 2))) (+.f64 (.f64 (cbrt.f64 1/4) (.f64 (pow.f64 (cbrt.f64 -1) 2) (log.f64 y))) (+.f64 (.f64 1/3 (.f64 (.f64 y (.f64 (pow.f64 (cbrt.f64 -1) 2) (log.f64 y))) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2)) 1/3))) (.f64 -1/3 (/.f64 (.f64 (pow.f64 y 3) (.f64 (+.f64 (.f64 2/3 (.f64 (-.f64 1 (.f64 1/3 (pow.f64 (/.f64 1 (cbrt.f64 1/4)) 1/3))) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 5)) 1/3))) (.f64 1/27 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2)))) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (log.f64 y)))) (pow.f64 (cbrt.f64 1/4) 2))))))

Outputs
(*.f64 (pow.f64 1/4 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 2) 1/3))
(.f64 (.f64 (pow.f64 1/4 1/18) (pow.f64 1/4 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)))
(+.f64 (.f64 4/9 (.f64 (pow.f64 1/4 1/9) (.f64 y (pow.f64 (pow.f64 (cbrt.f64 -1) 2) 1/3)))) (.f64 (pow.f64 1/4 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 2) 1/3)))
(fma.f64 4/9 (.f64 (.f64 (pow.f64 1/4 1/18) (pow.f64 1/4 1/18)) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)) y)) (.f64 (*.f64 (pow.f64 1/4 1/18) (pow.f64 1/4 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2))))
(fma.f64 (.f64 (pow.f64 1/4 1/18) (pow.f64 1/4 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)) (.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)) y) (.f64 (*.f64 (pow.f64 1/4 1/18) (pow.f64 1/4 1/18)) 4/9)))
(.f64 (.f64 (pow.f64 1/4 1/18) (pow.f64 1/4 1/18)) (+.f64 (.f64 4/9 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)) y)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2))))
(+.f64 (.f64 -28/81 (.f64 (pow.f64 1/4 1/9) (.f64 (pow.f64 y 2) (pow.f64 (pow.f64 (cbrt.f64 -1) 2) 1/3)))) (+.f64 (.f64 4/9 (.f64 (pow.f64 1/4 1/9) (.f64 y (pow.f64 (pow.f64 (cbrt.f64 -1) 2) 1/3)))) (*.f64 (pow.f64 1/4 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 2) 1/3))))
(fma.f64 -28/81 (.f64 (.f64 (pow.f64 1/4 1/18) (pow.f64 1/4 1/18)) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)) (.f64 y y))) (fma.f64 4/9 (.f64 (.f64 (pow.f64 1/4 1/18) (pow.f64 1/4 1/18)) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)) y)) (.f64 (*.f64 (pow.f64 1/4 1/18) (pow.f64 1/4 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)))))
(fma.f64 -28/81 (.f64 (.f64 (pow.f64 1/4 1/18) (pow.f64 1/4 1/18)) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)) (.f64 y y))) (fma.f64 (.f64 (pow.f64 1/4 1/18) (pow.f64 1/4 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)) (.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)) y) (.f64 (*.f64 (pow.f64 1/4 1/18) (pow.f64 1/4 1/18)) 4/9))))
(fma.f64 -28/81 (.f64 (.f64 (pow.f64 1/4 1/18) (pow.f64 1/4 1/18)) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)) (.f64 y y))) (.f64 (.f64 (pow.f64 1/4 1/18) (pow.f64 1/4 1/18)) (+.f64 (.f64 4/9 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)) y)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)))))
(fma.f64 -28/81 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)) (.f64 y (.f64 (.f64 (pow.f64 1/4 1/18) (pow.f64 1/4 1/18)) y))) (.f64 (.f64 (pow.f64 1/4 1/18) (pow.f64 1/4 1/18)) (+.f64 (.f64 4/9 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)) y)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)))))
(+.f64 (.f64 -28/81 (.f64 (pow.f64 1/4 1/9) (.f64 (pow.f64 y 2) (pow.f64 (pow.f64 (cbrt.f64 -1) 2) 1/3)))) (+.f64 (.f64 4/9 (.f64 (pow.f64 1/4 1/9) (.f64 y (pow.f64 (pow.f64 (cbrt.f64 -1) 2) 1/3)))) (+.f64 (.f64 896/2187 (.f64 (pow.f64 1/4 1/9) (.f64 (pow.f64 y 3) (pow.f64 (pow.f64 (cbrt.f64 -1) 2) 1/3)))) (.f64 (pow.f64 1/4 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 2) 1/3)))))
(fma.f64 -28/81 (.f64 (.f64 (pow.f64 1/4 1/18) (pow.f64 1/4 1/18)) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)) (.f64 y y))) (fma.f64 4/9 (.f64 (.f64 (pow.f64 1/4 1/18) (pow.f64 1/4 1/18)) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)) y)) (fma.f64 896/2187 (.f64 (.f64 (pow.f64 1/4 1/18) (pow.f64 1/4 1/18)) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 y 3))) (.f64 (.f64 (pow.f64 1/4 1/18) (pow.f64 1/4 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2))))))
(fma.f64 -28/81 (.f64 (.f64 (pow.f64 1/4 1/18) (pow.f64 1/4 1/18)) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)) (.f64 y y))) (fma.f64 4/9 (.f64 (.f64 (pow.f64 1/4 1/18) (pow.f64 1/4 1/18)) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)) y)) (fma.f64 896/2187 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)) (.f64 (.f64 (pow.f64 1/4 1/18) (pow.f64 1/4 1/18)) (pow.f64 y 3))) (.f64 (.f64 (pow.f64 1/4 1/18) (pow.f64 1/4 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2))))))
(+.f64 (.f64 (.f64 (pow.f64 1/4 1/18) (pow.f64 1/4 1/18)) (+.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)) (.f64 896/2187 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 y 3))))) (.f64 (.f64 (pow.f64 1/4 1/18) (pow.f64 1/4 1/18)) (+.f64 (.f64 4/9 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)) y)) (.f64 -28/81 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)) (*.f64 y y))))))
(+.f64 (.f64 (.f64 (pow.f64 1/4 1/18) (pow.f64 1/4 1/18)) (+.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)) (.f64 896/2187 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 y 3))))) (.f64 (.f64 (pow.f64 1/4 1/18) (pow.f64 1/4 1/18)) (+.f64 (.f64 -28/81 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)) (.f64 y y))) (.f64 4/9 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)) y)))))
(*.f64 (pow.f64 (pow.f64 y 2) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 2) 1/3))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)) (.f64 (pow.f64 (.f64 y y) 1/18) (pow.f64 (.f64 y y) 1/18)))
(.f64 (pow.f64 (.f64 y y) 1/18) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (.f64 y y) 1/18)))
(+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 y 7)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 2) 1/3))) (*.f64 (pow.f64 (pow.f64 y 2) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 2) 1/3)))
(fma.f64 1/9 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)) (.f64 (pow.f64 (/.f64 1 (pow.f64 y 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 y 7)) 1/18))) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)) (.f64 (pow.f64 (.f64 y y) 1/18) (pow.f64 (.f64 y y) 1/18))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)) (fma.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 y 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 y 7)) 1/18)) (.f64 (pow.f64 (.f64 y y) 1/18) (pow.f64 (*.f64 y y) 1/18))))
(+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 y 7)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 2) 1/3))) (+.f64 (.f64 (pow.f64 (pow.f64 y 2) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 2) 1/3)) (.f64 -7/324 (*.f64 (pow.f64 (/.f64 1 (pow.f64 y 16)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 2) 1/3)))))
(fma.f64 1/9 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)) (.f64 (pow.f64 (/.f64 1 (pow.f64 y 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 y 7)) 1/18))) (fma.f64 (.f64 (pow.f64 (.f64 y y) 1/18) (pow.f64 (.f64 y y) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)) (.f64 -7/324 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)) (.f64 (pow.f64 (/.f64 1 (pow.f64 y 16)) 1/18) (pow.f64 (/.f64 1 (pow.f64 y 16)) 1/18))))))
(fma.f64 1/9 (.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (/.f64 1 (pow.f64 y 7)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 y 7)) 1/18)) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)) (fma.f64 -7/324 (.f64 (pow.f64 (/.f64 1 (pow.f64 y 16)) 1/18) (pow.f64 (/.f64 1 (pow.f64 y 16)) 1/18)) (.f64 (pow.f64 (.f64 y y) 1/18) (pow.f64 (*.f64 y y) 1/18)))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)) (fma.f64 -7/324 (.f64 (pow.f64 (/.f64 1 (pow.f64 y 16)) 1/18) (pow.f64 (/.f64 1 (pow.f64 y 16)) 1/18)) (fma.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 y 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 y 7)) 1/18)) (.f64 (pow.f64 (.f64 y y) 1/18) (pow.f64 (.f64 y y) 1/18)))))
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(fma.f64 1/9 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)) (.f64 (pow.f64 (/.f64 1 (pow.f64 y 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 y 7)) 1/18))) (fma.f64 14/2187 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)) (.f64 (pow.f64 (/.f64 1 (pow.f64 y 25)) 1/18) (pow.f64 (/.f64 1 (pow.f64 y 25)) 1/18))) (fma.f64 (.f64 (pow.f64 (.f64 y y) 1/18) (pow.f64 (.f64 y y) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)) (.f64 -7/324 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)) (.f64 (pow.f64 (/.f64 1 (pow.f64 y 16)) 1/18) (pow.f64 (/.f64 1 (pow.f64 y 16)) 1/18)))))))
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(fma.f64 2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 y 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 y 5)) 1/18)) (fma.f64 -5/162 (.f64 (pow.f64 (/.f64 1 (pow.f64 y 14)) 1/18) (pow.f64 (/.f64 1 (pow.f64 y 14)) 1/18)) (*.f64 (pow.f64 (pow.f64 y 4) 1/18) (pow.f64 (pow.f64 y 4) 1/18))))
(+.f64 (.f64 2/9 (pow.f64 (/.f64 1 (pow.f64 y 5)) 1/9)) (+.f64 (.f64 -5/162 (pow.f64 (/.f64 1 (pow.f64 y 14)) 1/9)) (+.f64 (*.f64 35/4374 (pow.f64 (/.f64 1 (pow.f64 y 23)) 1/9)) (pow.f64 (pow.f64 y 4) 1/9))))
(fma.f64 2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 y 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 y 5)) 1/18)) (fma.f64 -5/162 (.f64 (pow.f64 (/.f64 1 (pow.f64 y 14)) 1/18) (pow.f64 (/.f64 1 (pow.f64 y 14)) 1/18)) (fma.f64 35/4374 (.f64 (pow.f64 (/.f64 1 (pow.f64 y 23)) 1/18) (pow.f64 (/.f64 1 (pow.f64 y 23)) 1/18)) (.f64 (pow.f64 (pow.f64 y 4) 1/18) (pow.f64 (pow.f64 y 4) 1/18)))))
(fma.f64 2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 y 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 y 5)) 1/18)) (fma.f64 -5/162 (.f64 (pow.f64 (/.f64 1 (pow.f64 y 14)) 1/18) (pow.f64 (/.f64 1 (pow.f64 y 14)) 1/18)) (fma.f64 (pow.f64 (pow.f64 y 4) 1/18) (pow.f64 (pow.f64 y 4) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 y 23)) 1/18) (.f64 35/4374 (pow.f64 (/.f64 1 (pow.f64 y 23)) 1/18))))))
(.f64 (cbrt.f64 1/4) (.f64 (pow.f64 (cbrt.f64 -1) 2) (log.f64 y)))
(.f64 (pow.f64 (cbrt.f64 -1) 2) (.f64 (log.f64 y) (cbrt.f64 1/4)))
(.f64 (pow.f64 (cbrt.f64 -1) 2) (.f64 (cbrt.f64 1/4) (log.f64 y)))
(+.f64 (.f64 (cbrt.f64 1/4) (.f64 (pow.f64 (cbrt.f64 -1) 2) (log.f64 y))) (.f64 1/3 (.f64 (.f64 y (.f64 (pow.f64 (cbrt.f64 -1) 2) (log.f64 y))) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2)) 1/3))))
(fma.f64 (cbrt.f64 1/4) (.f64 (pow.f64 (cbrt.f64 -1) 2) (log.f64 y)) (.f64 1/3 (.f64 (.f64 y (*.f64 (pow.f64 (cbrt.f64 -1) 2) (log.f64 y))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2))))))
(fma.f64 1/3 (.f64 y (.f64 (.f64 (pow.f64 (cbrt.f64 -1) 2) (log.f64 y)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2))))) (.f64 (pow.f64 (cbrt.f64 -1) 2) (*.f64 (log.f64 y) (cbrt.f64 1/4))))
(fma.f64 1/3 (.f64 (.f64 (pow.f64 (cbrt.f64 -1) 2) (.f64 y (log.f64 y))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2)))) (.f64 (pow.f64 (cbrt.f64 -1) 2) (*.f64 (cbrt.f64 1/4) (log.f64 y))))
(fma.f64 1/3 (.f64 (log.f64 y) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2))) (.f64 (pow.f64 (cbrt.f64 -1) 2) y))) (.f64 (pow.f64 (cbrt.f64 -1) 2) (*.f64 (cbrt.f64 1/4) (log.f64 y))))
(+.f64 (.f64 1/3 (/.f64 (.f64 (-.f64 1 (.f64 1/3 (pow.f64 (/.f64 1 (cbrt.f64 1/4)) 1/3))) (.f64 (pow.f64 y 2) (.f64 (pow.f64 (cbrt.f64 -1) 2) (log.f64 y)))) (pow.f64 (cbrt.f64 1/4) 2))) (+.f64 (.f64 (cbrt.f64 1/4) (.f64 (pow.f64 (cbrt.f64 -1) 2) (log.f64 y))) (.f64 1/3 (.f64 (.f64 y (*.f64 (pow.f64 (cbrt.f64 -1) 2) (log.f64 y))) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2)) 1/3)))))
(fma.f64 1/3 (/.f64 (+.f64 1 (.f64 -1/3 (cbrt.f64 (/.f64 1 (cbrt.f64 1/4))))) (/.f64 (pow.f64 (cbrt.f64 1/4) 2) (.f64 (.f64 (.f64 y y) (pow.f64 (cbrt.f64 -1) 2)) (log.f64 y)))) (fma.f64 (cbrt.f64 1/4) (.f64 (pow.f64 (cbrt.f64 -1) 2) (log.f64 y)) (.f64 1/3 (.f64 (.f64 y (*.f64 (pow.f64 (cbrt.f64 -1) 2) (log.f64 y))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2)))))))
(fma.f64 1/3 (.f64 (/.f64 (+.f64 1 (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 1/4))) -1/3)) (pow.f64 (cbrt.f64 1/4) 2)) (.f64 (pow.f64 (cbrt.f64 -1) 2) (.f64 (log.f64 y) (.f64 y y)))) (fma.f64 1/3 (.f64 y (.f64 (.f64 (pow.f64 (cbrt.f64 -1) 2) (log.f64 y)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2))))) (.f64 (pow.f64 (cbrt.f64 -1) 2) (.f64 (log.f64 y) (cbrt.f64 1/4)))))
(fma.f64 1/3 (.f64 (.f64 (.f64 y y) (.f64 (pow.f64 (cbrt.f64 -1) 2) (log.f64 y))) (/.f64 (+.f64 1 (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 1/4))) -1/3)) (pow.f64 (cbrt.f64 1/4) 2))) (fma.f64 1/3 (.f64 (.f64 (pow.f64 (cbrt.f64 -1) 2) (.f64 y (log.f64 y))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2)))) (.f64 (pow.f64 (cbrt.f64 -1) 2) (.f64 (cbrt.f64 1/4) (log.f64 y)))))
(fma.f64 1/3 (.f64 (.f64 (pow.f64 (cbrt.f64 -1) 2) (.f64 (.f64 y y) (log.f64 y))) (/.f64 (+.f64 1 (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 1/4))) -1/3)) (pow.f64 (cbrt.f64 1/4) 2))) (fma.f64 1/3 (.f64 (log.f64 y) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2))) (.f64 (pow.f64 (cbrt.f64 -1) 2) y))) (.f64 (pow.f64 (cbrt.f64 -1) 2) (.f64 (cbrt.f64 1/4) (log.f64 y)))))
(+.f64 (.f64 1/3 (/.f64 (.f64 (-.f64 1 (.f64 1/3 (pow.f64 (/.f64 1 (cbrt.f64 1/4)) 1/3))) (.f64 (pow.f64 y 2) (.f64 (pow.f64 (cbrt.f64 -1) 2) (log.f64 y)))) (pow.f64 (cbrt.f64 1/4) 2))) (+.f64 (.f64 (cbrt.f64 1/4) (.f64 (pow.f64 (cbrt.f64 -1) 2) (log.f64 y))) (+.f64 (.f64 1/3 (.f64 (.f64 y (.f64 (pow.f64 (cbrt.f64 -1) 2) (log.f64 y))) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2)) 1/3))) (.f64 -1/3 (/.f64 (.f64 (pow.f64 y 3) (.f64 (+.f64 (.f64 2/3 (.f64 (-.f64 1 (.f64 1/3 (pow.f64 (/.f64 1 (cbrt.f64 1/4)) 1/3))) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 5)) 1/3))) (.f64 1/27 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2)))) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (log.f64 y)))) (pow.f64 (cbrt.f64 1/4) 2))))))
(fma.f64 1/3 (/.f64 (+.f64 1 (.f64 -1/3 (cbrt.f64 (/.f64 1 (cbrt.f64 1/4))))) (/.f64 (pow.f64 (cbrt.f64 1/4) 2) (.f64 (.f64 (.f64 y y) (pow.f64 (cbrt.f64 -1) 2)) (log.f64 y)))) (fma.f64 (cbrt.f64 1/4) (.f64 (pow.f64 (cbrt.f64 -1) 2) (log.f64 y)) (fma.f64 1/3 (.f64 (.f64 y (.f64 (pow.f64 (cbrt.f64 -1) 2) (log.f64 y))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2)))) (.f64 -1/3 (/.f64 (pow.f64 y 3) (/.f64 (pow.f64 (cbrt.f64 1/4) 2) (.f64 (.f64 (pow.f64 (cbrt.f64 -1) 2) (log.f64 y)) (fma.f64 2/3 (.f64 (+.f64 1 (*.f64 -1/3 (cbrt.f64 (/.f64 1 (cbrt.f64 1/4))))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 5)))) (/.f64 1/27 (pow.f64 (cbrt.f64 1/4) 2))))))))))
(fma.f64 1/3 (.f64 (/.f64 (+.f64 1 (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 1/4))) -1/3)) (pow.f64 (cbrt.f64 1/4) 2)) (.f64 (pow.f64 (cbrt.f64 -1) 2) (.f64 (log.f64 y) (.f64 y y)))) (fma.f64 (cbrt.f64 1/4) (.f64 (pow.f64 (cbrt.f64 -1) 2) (log.f64 y)) (fma.f64 1/3 (.f64 y (.f64 (.f64 (pow.f64 (cbrt.f64 -1) 2) (log.f64 y)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2))))) (/.f64 -1/3 (/.f64 (pow.f64 (cbrt.f64 1/4) 2) (.f64 (fma.f64 (.f64 (+.f64 1 (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 1/4))) -1/3)) 2/3) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 5))) (/.f64 1/27 (pow.f64 (cbrt.f64 1/4) 2))) (.f64 (.f64 (pow.f64 (cbrt.f64 -1) 2) (log.f64 y)) (pow.f64 y 3))))))))
(fma.f64 1/3 (.f64 (.f64 (.f64 y y) (.f64 (pow.f64 (cbrt.f64 -1) 2) (log.f64 y))) (/.f64 (+.f64 1 (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 1/4))) -1/3)) (pow.f64 (cbrt.f64 1/4) 2))) (fma.f64 (cbrt.f64 1/4) (.f64 (pow.f64 (cbrt.f64 -1) 2) (log.f64 y)) (fma.f64 1/3 (.f64 (.f64 (pow.f64 (cbrt.f64 -1) 2) (.f64 y (log.f64 y))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2)))) (.f64 (/.f64 (.f64 (pow.f64 y 3) -1/3) (/.f64 (pow.f64 (cbrt.f64 1/4) 2) (.f64 (pow.f64 (cbrt.f64 -1) 2) (log.f64 y)))) (fma.f64 2/3 (.f64 (+.f64 1 (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 1/4))) -1/3)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 5)))) (/.f64 1/27 (pow.f64 (cbrt.f64 1/4) 2)))))))
(fma.f64 1/3 (.f64 (.f64 (pow.f64 (cbrt.f64 -1) 2) (.f64 (.f64 y y) (log.f64 y))) (/.f64 (+.f64 1 (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 1/4))) -1/3)) (pow.f64 (cbrt.f64 1/4) 2))) (fma.f64 (cbrt.f64 1/4) (.f64 (pow.f64 (cbrt.f64 -1) 2) (log.f64 y)) (fma.f64 1/3 (.f64 (log.f64 y) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 2))) (.f64 (pow.f64 (cbrt.f64 -1) 2) y))) (.f64 (/.f64 -1/3 (pow.f64 (cbrt.f64 1/4) 2)) (.f64 (fma.f64 (-.f64 2/3 (.f64 2/3 (.f64 1/3 (cbrt.f64 (/.f64 1 (cbrt.f64 1/4)))))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/4) 5))) (/.f64 1/27 (pow.f64 (cbrt.f64 1/4) 2))) (.f64 (pow.f64 y 3) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (log.f64 y))))))))

prune328.0ms (8.2%)

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	147	0	147
Fresh	0	6	6
Picked	0	1	1
Done	0	3	3
Total	147	10	157

Error

0.0b

Counts

157 → 10

Alt Table

Status	Error	Program
	0.6b	(+.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) 3) (-.f64 x z))
✓	0.1b	(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)
✓	0.6b	(fma.f64 (.f64 (log.f64 y) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 -1/2 y)) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 -1/2 y))) (cbrt.f64 (-.f64 -1/2 y))))) (cbrt.f64 (-.f64 -1/2 y)) (+.f64 y (-.f64 x z)))
	0.7b	(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 -1/2 y)) 2) (log.f64 y))) 3) (cbrt.f64 (-.f64 -1/2 y)) (+.f64 y (-.f64 x z)))
✓	0.6b	(fma.f64 (*.f64 (log.f64 y) (pow.f64 (cbrt.f64 (-.f64 -1/2 y)) 2)) (cbrt.f64 (-.f64 -1/2 y)) (+.f64 y (-.f64 x z)))
	7.1b	(fma.f64 (.f64 (log.f64 y) (pow.f64 (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 -1/2 y)) 4))) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 -1/2 y)) 2)))) 2)) (cbrt.f64 (-.f64 -1/2 y)) (+.f64 y (-.f64 x z)))
	14.9b	(-.f64 (+.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 y y -1/4) (log.f64 y)) (+.f64 y -1/2))) y) z)
	32.6b	(+.f64 (pow.f64 (sqrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) 2) (-.f64 x z))
	0.7b	(fma.f64 (.f64 (cbrt.f64 (.f64 (log.f64 y) (-.f64 -1/2 y))) (cbrt.f64 (.f64 (log.f64 y) (-.f64 -1/2 y)))) (cbrt.f64 (.f64 (log.f64 y) (-.f64 -1/2 y))) (+.f64 y (-.f64 x z)))
✓	0.1b	(+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z))

Compiler

Compiled 6546 to 4760 computations (27.3% saved)

regimes221.0ms (5.6%)

Accuracy

Total -31.6b remaining (-34617.6%)

Threshold costs -31.6b (-34617.6%)

Counts

60 → 1

Compiler

Compiled 1072 to 584 computations (45.5% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

5×	`+-commutative_binary64`
4×	`sub-neg_binary64`
2×	`*-commutative_binary64`
2×	`neg-sub0_binary64`
2×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	16
1	15	16
2	23	16
3	27	16
4	29	16

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z))

Outputs
(+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z))

end145.0ms (3.7%)

Stop Event

1×

fuel

Compiler

Compiled 228 to 131 computations (42.5% saved)

Details

analyze384.0ms (9.7%)

sample1.2s (29.6%)

preprocess45.0ms (1.1%)

simplify32.0ms (0.8%)

prune23.0ms (0.6%)

localize8.0ms (0.2%)

series20.0ms (0.5%)

rewrite62.0ms (1.6%)

simplify44.0ms (1.1%)

prune182.0ms (4.6%)

localize11.0ms (0.3%)

series10.0ms (0.2%)

rewrite119.0ms (3%)

simplify87.0ms (2.2%)

prune387.0ms (9.7%)

localize12.0ms (0.3%)

series57.0ms (1.4%)

rewrite60.0ms (1.5%)

simplify100.0ms (2.5%)

prune312.0ms (7.8%)

localize18.0ms (0.4%)

series12.0ms (0.3%)

rewrite54.0ms (1.4%)

simplify62.0ms (1.5%)

prune328.0ms (8.2%)

regimes221.0ms (5.6%)

simplify3.0ms (0.1%)

end145.0ms (3.7%)

Profiling