Details

analyze243.0ms (5.5%)

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%	74.9%	25.1%	4
0%	74.9%	25.1%	5
0%	62.4%	37.6%	6
12.5%	43.7%	43.8%	7
12.5%	43.7%	43.8%	8
25%	28.1%	47%	9
28.1%	20.3%	51.6%	10
28.1%	20.3%	51.6%	11
34.3%	13.3%	52.4%	12
35.9%	9.8%	54.4%	13
35.9%	9.8%	54.4%	14

Compiler

Compiled 16 to 12 computations (25% saved)

sample1.1s (24.1%)

Results

1.0s	8256×	body	128	valid
48.0ms	381×	body	128	invalid

Compiler

Compiled 32 to 24 computations (25% saved)

preprocess41.0ms (0.9%)

Algorithm

2×	egg-herbie

Rules

811×	`fma-def_binary64`
443×	`unsub-neg_binary64`
369×	`distribute-rgt-in_binary64`
336×	`fma-neg_binary64`
248×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	64
1	82	64
2	209	64
3	491	64
4	1161	56
5	2534	56
6	4299	56
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 x 1/2) (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))
(+.f64 (.f64 y 1/2) (.f64 x (+.f64 (-.f64 1 z) (log.f64 z))))
(+.f64 (.f64 z 1/2) (.f64 y (+.f64 (-.f64 1 x) (log.f64 x))))
(+.f64 (.f64 x 1/2) (.f64 z (+.f64 (-.f64 1 y) (log.f64 y))))

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

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify39.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

982×	`fma-def_binary64`
790×	`fma-neg_binary64`
274×	`sub-neg_binary64`
221×	`associate--r+_binary64`
216×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	12	16
1	29	16
2	65	16
3	143	16
4	336	14
5	718	14
6	1240	14
7	1881	14
8	2833	14
9	3323	14
10	4425	14

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

prune6.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.1b

Counts

3 → 1

Alt Table

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

Compiler

Compiled 55 to 37 computations (32.7% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

series245.0ms (5.5%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
71.0ms	y	@	0	(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))
48.0ms	y	@	-inf	(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))
44.0ms	y	@	inf	(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))
13.0ms	y	@	inf	(+.f64 (.f64 x 1/2) (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))
11.0ms	x	@	0	(+.f64 (.f64 x 1/2) (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))

rewrite69.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

670×	`fma-def_binary64`
313×	`fma-neg_binary64`
239×	`expm1-udef_binary64`
238×	`log1p-udef_binary64`
140×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	37
1	268	37
2	3898	37

Stop Event

1×	node limit

Counts

3 → 168

Calls

Call 1

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

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

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

simplify52.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

761×	`fma-def_binary64`
425×	`unsub-neg_binary64`
372×	`sub-neg_binary64`
238×	`fma-neg_binary64`
218×	`associate--r-_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	50	950
1	150	867
2	398	867
3	1182	765
4	3314	765
5	4689	765

Stop Event

1×	node limit

Counts

240 → 193

Calls

Call 1

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

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

prune176.0ms (4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	188	5	193
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	188	6	194

Error

Counts

194 → 6

Alt Table

Status	Error	Program
✓	0.1b	(+.f64 (.f64 x 1/2) (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))
	0.2b	(+.f64 (.f64 x 1/2) (fma.f64 (.f64 y (cbrt.f64 (pow.f64 (log.f64 z) 2))) (cbrt.f64 (log.f64 z)) (*.f64 y (-.f64 1 z))))
▶	0.1b	(fma.f64 y (-.f64 1 z) (fma.f64 y (log.f64 z) (*.f64 x 1/2)))
	0.7b	(+.f64 (.f64 x 1/2) (pow.f64 (cbrt.f64 (.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))) 3))
	18.1b	(+.f64 (.f64 x 1/2) (/.f64 (.f64 (-.f64 (pow.f64 (-.f64 1 z) 2) (pow.f64 (log.f64 z) 2)) y) (-.f64 1 (+.f64 z (log.f64 z)))))
	0.8b	(fma.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 (cbrt.f64 y) (+.f64 (-.f64 1 z) (log.f64 z))) (.f64 x 1/2))

Compiler

Compiled 3820 to 2274 computations (40.5% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

series158.0ms (3.6%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
13.0ms	y	@	0	(fma.f64 y (-.f64 1 z) (fma.f64 y (log.f64 z) (*.f64 x 1/2)))
12.0ms	y	@	-inf	(fma.f64 y (log.f64 z) (*.f64 x 1/2))
12.0ms	y	@	0	(fma.f64 y (log.f64 z) (*.f64 x 1/2))
11.0ms	y	@	-inf	(fma.f64 y (-.f64 1 z) (fma.f64 y (log.f64 z) (*.f64 x 1/2)))
11.0ms	y	@	inf	(fma.f64 y (-.f64 1 z) (fma.f64 y (log.f64 z) (*.f64 x 1/2)))

rewrite46.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

481×	`log-prod_binary64`
332×	`prod-diff_binary64`
195×	`expm1-udef_binary64`
194×	`log1p-udef_binary64`
162×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	27
1	221	27
2	2615	27

Stop Event

1×	node limit

Counts

2 → 59

Calls

Call 1

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

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

Outputs

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

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

simplify49.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

615×	`sub-neg_binary64`
584×	`fma-neg_binary64`
475×	`fma-def_binary64`
370×	`unsub-neg_binary64`
360×	`associate-+l-_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	41	916
1	128	833
2	334	833
3	931	773
4	2408	773
5	4638	773

Stop Event

1×	node limit

Counts

131 → 77

Calls

Call 1

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

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

prune60.0ms (1.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	77	0	77
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	77	6	83

Error

Counts

83 → 6

Alt Table

Status	Error	Program
✓	0.1b	(+.f64 (.f64 x 1/2) (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))
▶	0.2b	(+.f64 (.f64 x 1/2) (fma.f64 (.f64 y (cbrt.f64 (pow.f64 (log.f64 z) 2))) (cbrt.f64 (log.f64 z)) (*.f64 y (-.f64 1 z))))
✓	0.1b	(fma.f64 y (-.f64 1 z) (fma.f64 y (log.f64 z) (*.f64 x 1/2)))
	0.7b	(+.f64 (.f64 x 1/2) (pow.f64 (cbrt.f64 (.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))) 3))
	18.1b	(+.f64 (.f64 x 1/2) (/.f64 (.f64 (-.f64 (pow.f64 (-.f64 1 z) 2) (pow.f64 (log.f64 z) 2)) y) (-.f64 1 (+.f64 z (log.f64 z)))))
	0.8b	(fma.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 (cbrt.f64 y) (+.f64 (-.f64 1 z) (log.f64 z))) (.f64 x 1/2))

Compiler

Compiled 1529 to 901 computations (41.1% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 y (cbrt.f64 (pow.f64 (log.f64 z) 2)))
✓	0.5b	(pow.f64 (log.f64 z) 2)
✓	0.5b	(cbrt.f64 (log.f64 z))
✓	0.6b	(cbrt.f64 (pow.f64 (log.f64 z) 2))

series587.0ms (13.3%)

Counts

4 → 56

Calls

15 calls:

Time	Variable		Point	Expression
84.0ms	y	@	0	(*.f64 y (cbrt.f64 (pow.f64 (log.f64 z) 2)))
84.0ms	z	@	inf	(cbrt.f64 (log.f64 z))
70.0ms	y	@	inf	(*.f64 y (cbrt.f64 (pow.f64 (log.f64 z) 2)))
68.0ms	y	@	-inf	(*.f64 y (cbrt.f64 (pow.f64 (log.f64 z) 2)))
39.0ms	z	@	0	(cbrt.f64 (pow.f64 (log.f64 z) 2))

rewrite45.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

686×	`pow1_binary64`
631×	`add-log-exp_binary64`
631×	`log1p-expm1-u_binary64`
631×	`expm1-log1p-u_binary64`
81×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	30
1	174	30
2	1853	30

Stop Event

1×	node limit

Counts

4 → 78

Calls

Call 1

Inputs
(cbrt.f64 (pow.f64 (log.f64 z) 2))
(cbrt.f64 (log.f64 z))
(pow.f64 (log.f64 z) 2)
(*.f64 y (cbrt.f64 (pow.f64 (log.f64 z) 2)))

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

simplify37.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

428×	`fma-def_binary64`
384×	`unswap-sqr_binary64`
273×	`unsub-neg_binary64`
273×	`fma-neg_binary64`
220×	`distribute-neg-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	512
1	70	496
2	122	496
3	329	496
4	1070	496
5	3065	496

Stop Event

1×	node limit

Counts

134 → 92

Calls

Call 1

Inputs
(pow.f64 (pow.f64 (log.f64 z) 2) 1/3)
(pow.f64 (pow.f64 (log.f64 z) 2) 1/3)
(pow.f64 (pow.f64 (log.f64 z) 2) 1/3)
(pow.f64 (pow.f64 (log.f64 z) 2) 1/3)
(pow.f64 (pow.f64 (log.f64 (/.f64 1 z)) 2) 1/3)
(pow.f64 (pow.f64 (log.f64 (/.f64 1 z)) 2) 1/3)
(pow.f64 (pow.f64 (log.f64 (/.f64 1 z)) 2) 1/3)
(pow.f64 (pow.f64 (log.f64 (/.f64 1 z)) 2) 1/3)
(pow.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z))) 2) 1/3)
(pow.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z))) 2) 1/3)
(pow.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z))) 2) 1/3)
(pow.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z))) 2) 1/3)
(pow.f64 (log.f64 z) 1/3)
(pow.f64 (log.f64 z) 1/3)
(pow.f64 (log.f64 z) 1/3)
(pow.f64 (log.f64 z) 1/3)
(*.f64 (pow.f64 (log.f64 (/.f64 1 z)) 1/3) (cbrt.f64 -1))
(*.f64 (pow.f64 (log.f64 (/.f64 1 z)) 1/3) (cbrt.f64 -1))
(*.f64 (pow.f64 (log.f64 (/.f64 1 z)) 1/3) (cbrt.f64 -1))
(*.f64 (pow.f64 (log.f64 (/.f64 1 z)) 1/3) (cbrt.f64 -1))
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z))) 1/3)
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z))) 1/3)
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z))) 1/3)
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z))) 1/3)
(pow.f64 (log.f64 (/.f64 1 z)) 2)
(pow.f64 (log.f64 (/.f64 1 z)) 2)
(pow.f64 (log.f64 (/.f64 1 z)) 2)
(pow.f64 (log.f64 (/.f64 1 z)) 2)
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z))) 2)
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z))) 2)
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z))) 2)
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z))) 2)
(*.f64 (pow.f64 (pow.f64 (log.f64 z) 2) 1/3) y)
(*.f64 (pow.f64 (pow.f64 (log.f64 z) 2) 1/3) y)
(*.f64 (pow.f64 (pow.f64 (log.f64 z) 2) 1/3) y)
(*.f64 (pow.f64 (pow.f64 (log.f64 z) 2) 1/3) y)
(*.f64 (pow.f64 (pow.f64 (log.f64 z) 2) 1/3) y)
(*.f64 (pow.f64 (pow.f64 (log.f64 z) 2) 1/3) y)
(*.f64 (pow.f64 (pow.f64 (log.f64 z) 2) 1/3) y)
(*.f64 (pow.f64 (pow.f64 (log.f64 z) 2) 1/3) y)
(*.f64 (pow.f64 (pow.f64 (log.f64 z) 2) 1/3) y)
(*.f64 (pow.f64 (pow.f64 (log.f64 z) 2) 1/3) y)
(*.f64 (pow.f64 (pow.f64 (log.f64 z) 2) 1/3) y)
(*.f64 (pow.f64 (pow.f64 (log.f64 z) 2) 1/3) y)
(*.f64 (pow.f64 (pow.f64 (log.f64 z) 2) 1/3) y)
(*.f64 (pow.f64 (pow.f64 (log.f64 z) 2) 1/3) y)
(*.f64 (pow.f64 (pow.f64 (log.f64 z) 2) 1/3) y)
(*.f64 (pow.f64 (pow.f64 (log.f64 z) 2) 1/3) y)
(*.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 1 z)) 2) 1/3) y)
(*.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 1 z)) 2) 1/3) y)
(*.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 1 z)) 2) 1/3) y)
(*.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 1 z)) 2) 1/3) y)
(*.f64 y (pow.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z))) 2) 1/3))
(*.f64 y (pow.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z))) 2) 1/3))
(*.f64 y (pow.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z))) 2) 1/3))
(*.f64 y (pow.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z))) 2) 1/3))

Outputs
(pow.f64 (pow.f64 (log.f64 z) 2) 1/3)
(cbrt.f64 (pow.f64 (log.f64 z) 2))
(pow.f64 (pow.f64 (log.f64 z) 2) 1/3)
(cbrt.f64 (pow.f64 (log.f64 z) 2))
(pow.f64 (pow.f64 (log.f64 z) 2) 1/3)
(cbrt.f64 (pow.f64 (log.f64 z) 2))
(pow.f64 (pow.f64 (log.f64 z) 2) 1/3)
(cbrt.f64 (pow.f64 (log.f64 z) 2))
(pow.f64 (pow.f64 (log.f64 (/.f64 1 z)) 2) 1/3)
(cbrt.f64 (pow.f64 (log.f64 z) 2))
(pow.f64 (pow.f64 (log.f64 (/.f64 1 z)) 2) 1/3)
(cbrt.f64 (pow.f64 (log.f64 z) 2))
(pow.f64 (pow.f64 (log.f64 (/.f64 1 z)) 2) 1/3)
(cbrt.f64 (pow.f64 (log.f64 z) 2))
(pow.f64 (pow.f64 (log.f64 (/.f64 1 z)) 2) 1/3)
(cbrt.f64 (pow.f64 (log.f64 z) 2))
(pow.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z))) 2) 1/3)
(cbrt.f64 (pow.f64 (log.f64 z) 2))
(pow.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z))) 2) 1/3)
(cbrt.f64 (pow.f64 (log.f64 z) 2))
(pow.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z))) 2) 1/3)
(cbrt.f64 (pow.f64 (log.f64 z) 2))
(pow.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z))) 2) 1/3)
(cbrt.f64 (pow.f64 (log.f64 z) 2))
(pow.f64 (log.f64 z) 1/3)
(cbrt.f64 (log.f64 z))
(pow.f64 (log.f64 z) 1/3)
(cbrt.f64 (log.f64 z))
(pow.f64 (log.f64 z) 1/3)
(cbrt.f64 (log.f64 z))
(pow.f64 (log.f64 z) 1/3)
(cbrt.f64 (log.f64 z))
(*.f64 (pow.f64 (log.f64 (/.f64 1 z)) 1/3) (cbrt.f64 -1))
(*.f64 (cbrt.f64 (neg.f64 (log.f64 z))) (cbrt.f64 -1))
(*.f64 (pow.f64 (log.f64 (/.f64 1 z)) 1/3) (cbrt.f64 -1))
(*.f64 (cbrt.f64 (neg.f64 (log.f64 z))) (cbrt.f64 -1))
(*.f64 (pow.f64 (log.f64 (/.f64 1 z)) 1/3) (cbrt.f64 -1))
(*.f64 (cbrt.f64 (neg.f64 (log.f64 z))) (cbrt.f64 -1))
(*.f64 (pow.f64 (log.f64 (/.f64 1 z)) 1/3) (cbrt.f64 -1))
(*.f64 (cbrt.f64 (neg.f64 (log.f64 z))) (cbrt.f64 -1))
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z))) 1/3)
(cbrt.f64 (log.f64 z))
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z))) 1/3)
(cbrt.f64 (log.f64 z))
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z))) 1/3)
(cbrt.f64 (log.f64 z))
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z))) 1/3)
(cbrt.f64 (log.f64 z))
(pow.f64 (log.f64 (/.f64 1 z)) 2)
(pow.f64 (neg.f64 (log.f64 z)) 2)
(pow.f64 (log.f64 z) 2)
(pow.f64 (log.f64 (/.f64 1 z)) 2)
(pow.f64 (neg.f64 (log.f64 z)) 2)
(pow.f64 (log.f64 z) 2)
(pow.f64 (log.f64 (/.f64 1 z)) 2)
(pow.f64 (neg.f64 (log.f64 z)) 2)
(pow.f64 (log.f64 z) 2)
(pow.f64 (log.f64 (/.f64 1 z)) 2)
(pow.f64 (neg.f64 (log.f64 z)) 2)
(pow.f64 (log.f64 z) 2)
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z))) 2)
(pow.f64 (neg.f64 (log.f64 z)) 2)
(pow.f64 (log.f64 z) 2)
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z))) 2)
(pow.f64 (neg.f64 (log.f64 z)) 2)
(pow.f64 (log.f64 z) 2)
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z))) 2)
(pow.f64 (neg.f64 (log.f64 z)) 2)
(pow.f64 (log.f64 z) 2)
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z))) 2)
(pow.f64 (neg.f64 (log.f64 z)) 2)
(pow.f64 (log.f64 z) 2)
(*.f64 (pow.f64 (pow.f64 (log.f64 z) 2) 1/3) y)
(*.f64 (cbrt.f64 (pow.f64 (log.f64 z) 2)) y)
(*.f64 (pow.f64 (pow.f64 (log.f64 z) 2) 1/3) y)
(*.f64 (cbrt.f64 (pow.f64 (log.f64 z) 2)) y)
(*.f64 (pow.f64 (pow.f64 (log.f64 z) 2) 1/3) y)
(*.f64 (cbrt.f64 (pow.f64 (log.f64 z) 2)) y)
(*.f64 (pow.f64 (pow.f64 (log.f64 z) 2) 1/3) y)
(*.f64 (cbrt.f64 (pow.f64 (log.f64 z) 2)) y)
(*.f64 (pow.f64 (pow.f64 (log.f64 z) 2) 1/3) y)
(*.f64 (cbrt.f64 (pow.f64 (log.f64 z) 2)) y)
(*.f64 (pow.f64 (pow.f64 (log.f64 z) 2) 1/3) y)
(*.f64 (cbrt.f64 (pow.f64 (log.f64 z) 2)) y)
(*.f64 (pow.f64 (pow.f64 (log.f64 z) 2) 1/3) y)
(*.f64 (cbrt.f64 (pow.f64 (log.f64 z) 2)) y)
(*.f64 (pow.f64 (pow.f64 (log.f64 z) 2) 1/3) y)
(*.f64 (cbrt.f64 (pow.f64 (log.f64 z) 2)) y)
(*.f64 (pow.f64 (pow.f64 (log.f64 z) 2) 1/3) y)
(*.f64 (cbrt.f64 (pow.f64 (log.f64 z) 2)) y)
(*.f64 (pow.f64 (pow.f64 (log.f64 z) 2) 1/3) y)
(*.f64 (cbrt.f64 (pow.f64 (log.f64 z) 2)) y)
(*.f64 (pow.f64 (pow.f64 (log.f64 z) 2) 1/3) y)
(*.f64 (cbrt.f64 (pow.f64 (log.f64 z) 2)) y)
(*.f64 (pow.f64 (pow.f64 (log.f64 z) 2) 1/3) y)
(*.f64 (cbrt.f64 (pow.f64 (log.f64 z) 2)) y)
(*.f64 (pow.f64 (pow.f64 (log.f64 z) 2) 1/3) y)
(*.f64 (cbrt.f64 (pow.f64 (log.f64 z) 2)) y)
(*.f64 (pow.f64 (pow.f64 (log.f64 z) 2) 1/3) y)
(*.f64 (cbrt.f64 (pow.f64 (log.f64 z) 2)) y)
(*.f64 (pow.f64 (pow.f64 (log.f64 z) 2) 1/3) y)
(*.f64 (cbrt.f64 (pow.f64 (log.f64 z) 2)) y)
(*.f64 (pow.f64 (pow.f64 (log.f64 z) 2) 1/3) y)
(*.f64 (cbrt.f64 (pow.f64 (log.f64 z) 2)) y)
(*.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 1 z)) 2) 1/3) y)
(*.f64 (cbrt.f64 (pow.f64 (log.f64 z) 2)) y)
(*.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 1 z)) 2) 1/3) y)
(*.f64 (cbrt.f64 (pow.f64 (log.f64 z) 2)) y)
(*.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 1 z)) 2) 1/3) y)
(*.f64 (cbrt.f64 (pow.f64 (log.f64 z) 2)) y)
(*.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 1 z)) 2) 1/3) y)
(*.f64 (cbrt.f64 (pow.f64 (log.f64 z) 2)) y)
(*.f64 y (pow.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z))) 2) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 z) 2)) y)
(*.f64 y (pow.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z))) 2) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 z) 2)) y)
(*.f64 y (pow.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z))) 2) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 z) 2)) y)
(*.f64 y (pow.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z))) 2) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 z) 2)) y)

prune95.0ms (2.1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	91	1	92
Fresh	1	2	3
Picked	0	1	1
Done	0	2	2
Total	92	6	98

Error

Counts

98 → 6

Alt Table

Status	Error	Program
	0.7b	(+.f64 (.f64 x 1/2) (pow.f64 (cbrt.f64 (.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))) 3))
▶	0.3b	(+.f64 (.f64 x 1/2) (fma.f64 (.f64 y (pow.f64 (pow.f64 (log.f64 z) 2) 1/3)) (cbrt.f64 (log.f64 z)) (*.f64 y (-.f64 1 z))))
✓	0.1b	(+.f64 (.f64 x 1/2) (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))
✓	0.2b	(+.f64 (.f64 x 1/2) (fma.f64 (.f64 y (cbrt.f64 (pow.f64 (log.f64 z) 2))) (cbrt.f64 (log.f64 z)) (*.f64 y (-.f64 1 z))))
✓	0.1b	(fma.f64 y (-.f64 1 z) (fma.f64 y (log.f64 z) (*.f64 x 1/2)))
	0.8b	(fma.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 (cbrt.f64 y) (+.f64 (-.f64 1 z) (log.f64 z))) (.f64 x 1/2))

Compiler

Compiled 2363 to 1374 computations (41.9% saved)

localize16.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 y (pow.f64 (pow.f64 (log.f64 z) 2) 1/3))
	0.5b	(pow.f64 (log.f64 z) 2)
	0.5b	(cbrt.f64 (log.f64 z))
✓	1.2b	(pow.f64 (pow.f64 (log.f64 z) 2) 1/3)

series417.0ms (9.4%)

Counts

2 → 32

Calls

9 calls:

Time	Variable		Point	Expression
84.0ms	y	@	0	(*.f64 y (pow.f64 (pow.f64 (log.f64 z) 2) 1/3))
69.0ms	y	@	-inf	(*.f64 y (pow.f64 (pow.f64 (log.f64 z) 2) 1/3))
69.0ms	y	@	inf	(*.f64 y (pow.f64 (pow.f64 (log.f64 z) 2) 1/3))
37.0ms	z	@	-inf	(pow.f64 (pow.f64 (log.f64 z) 2) 1/3)
35.0ms	z	@	-inf	(*.f64 y (pow.f64 (pow.f64 (log.f64 z) 2) 1/3))

rewrite41.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

721×	`pow1_binary64`
670×	`add-log-exp_binary64`
670×	`log1p-expm1-u_binary64`
670×	`expm1-log1p-u_binary64`
85×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	189	19
2	1950	19

Stop Event

1×	node limit

Counts

2 → 32

Calls

Call 1

Inputs
(pow.f64 (pow.f64 (log.f64 z) 2) 1/3)
(*.f64 y (pow.f64 (pow.f64 (log.f64 z) 2) 1/3))

Outputs

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

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

simplify34.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

650×	`fma-neg_binary64`
590×	`associate-l_binary64`
545×	`unswap-sqr_binary64`
428×	`fma-def_binary64`
240×	`unsub-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	344
1	55	328
2	97	328
3	276	328
4	947	328
5	3635	328

Stop Event

1×	node limit

Counts

64 → 38

Calls

Call 1

Inputs
(pow.f64 (pow.f64 (log.f64 (/.f64 1 z)) 2) 1/3)
(pow.f64 (pow.f64 (log.f64 (/.f64 1 z)) 2) 1/3)
(pow.f64 (pow.f64 (log.f64 (/.f64 1 z)) 2) 1/3)
(pow.f64 (pow.f64 (log.f64 (/.f64 1 z)) 2) 1/3)
(pow.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z))) 2) 1/3)
(pow.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z))) 2) 1/3)
(pow.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z))) 2) 1/3)
(pow.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z))) 2) 1/3)
(*.f64 (pow.f64 (pow.f64 (log.f64 z) 2) 1/3) y)
(*.f64 (pow.f64 (pow.f64 (log.f64 z) 2) 1/3) y)
(*.f64 (pow.f64 (pow.f64 (log.f64 z) 2) 1/3) y)
(*.f64 (pow.f64 (pow.f64 (log.f64 z) 2) 1/3) y)
(*.f64 (pow.f64 (pow.f64 (log.f64 z) 2) 1/3) y)
(*.f64 (pow.f64 (pow.f64 (log.f64 z) 2) 1/3) y)
(*.f64 (pow.f64 (pow.f64 (log.f64 z) 2) 1/3) y)
(*.f64 (pow.f64 (pow.f64 (log.f64 z) 2) 1/3) y)
(*.f64 (pow.f64 (pow.f64 (log.f64 z) 2) 1/3) y)
(*.f64 (pow.f64 (pow.f64 (log.f64 z) 2) 1/3) y)
(*.f64 (pow.f64 (pow.f64 (log.f64 z) 2) 1/3) y)
(*.f64 (pow.f64 (pow.f64 (log.f64 z) 2) 1/3) y)
(*.f64 (pow.f64 (pow.f64 (log.f64 z) 2) 1/3) y)
(*.f64 (pow.f64 (pow.f64 (log.f64 z) 2) 1/3) y)
(*.f64 (pow.f64 (pow.f64 (log.f64 z) 2) 1/3) y)
(*.f64 (pow.f64 (pow.f64 (log.f64 z) 2) 1/3) y)
(*.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 1 z)) 2) 1/3) y)
(*.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 1 z)) 2) 1/3) y)
(*.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 1 z)) 2) 1/3) y)
(*.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 1 z)) 2) 1/3) y)
(*.f64 y (pow.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z))) 2) 1/3))
(*.f64 y (pow.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z))) 2) 1/3))
(*.f64 y (pow.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z))) 2) 1/3))
(*.f64 y (pow.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z))) 2) 1/3))

Outputs
(pow.f64 (pow.f64 (log.f64 (/.f64 1 z)) 2) 1/3)
(cbrt.f64 (pow.f64 (neg.f64 (log.f64 z)) 2))
(cbrt.f64 (pow.f64 (log.f64 z) 2))
(pow.f64 (pow.f64 (log.f64 (/.f64 1 z)) 2) 1/3)
(cbrt.f64 (pow.f64 (neg.f64 (log.f64 z)) 2))
(cbrt.f64 (pow.f64 (log.f64 z) 2))
(pow.f64 (pow.f64 (log.f64 (/.f64 1 z)) 2) 1/3)
(cbrt.f64 (pow.f64 (neg.f64 (log.f64 z)) 2))
(cbrt.f64 (pow.f64 (log.f64 z) 2))
(pow.f64 (pow.f64 (log.f64 (/.f64 1 z)) 2) 1/3)
(cbrt.f64 (pow.f64 (neg.f64 (log.f64 z)) 2))
(cbrt.f64 (pow.f64 (log.f64 z) 2))
(pow.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z))) 2) 1/3)
(cbrt.f64 (pow.f64 (neg.f64 (log.f64 z)) 2))
(cbrt.f64 (pow.f64 (log.f64 z) 2))
(pow.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z))) 2) 1/3)
(cbrt.f64 (pow.f64 (neg.f64 (log.f64 z)) 2))
(cbrt.f64 (pow.f64 (log.f64 z) 2))
(pow.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z))) 2) 1/3)
(cbrt.f64 (pow.f64 (neg.f64 (log.f64 z)) 2))
(cbrt.f64 (pow.f64 (log.f64 z) 2))
(pow.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z))) 2) 1/3)
(cbrt.f64 (pow.f64 (neg.f64 (log.f64 z)) 2))
(cbrt.f64 (pow.f64 (log.f64 z) 2))
(*.f64 (pow.f64 (pow.f64 (log.f64 z) 2) 1/3) y)
(*.f64 (cbrt.f64 (pow.f64 (log.f64 z) 2)) y)
(*.f64 (pow.f64 (pow.f64 (log.f64 z) 2) 1/3) y)
(*.f64 (cbrt.f64 (pow.f64 (log.f64 z) 2)) y)
(*.f64 (pow.f64 (pow.f64 (log.f64 z) 2) 1/3) y)
(*.f64 (cbrt.f64 (pow.f64 (log.f64 z) 2)) y)
(*.f64 (pow.f64 (pow.f64 (log.f64 z) 2) 1/3) y)
(*.f64 (cbrt.f64 (pow.f64 (log.f64 z) 2)) y)
(*.f64 (pow.f64 (pow.f64 (log.f64 z) 2) 1/3) y)
(*.f64 (cbrt.f64 (pow.f64 (log.f64 z) 2)) y)
(*.f64 (pow.f64 (pow.f64 (log.f64 z) 2) 1/3) y)
(*.f64 (cbrt.f64 (pow.f64 (log.f64 z) 2)) y)
(*.f64 (pow.f64 (pow.f64 (log.f64 z) 2) 1/3) y)
(*.f64 (cbrt.f64 (pow.f64 (log.f64 z) 2)) y)
(*.f64 (pow.f64 (pow.f64 (log.f64 z) 2) 1/3) y)
(*.f64 (cbrt.f64 (pow.f64 (log.f64 z) 2)) y)
(*.f64 (pow.f64 (pow.f64 (log.f64 z) 2) 1/3) y)
(*.f64 (cbrt.f64 (pow.f64 (log.f64 z) 2)) y)
(*.f64 (pow.f64 (pow.f64 (log.f64 z) 2) 1/3) y)
(*.f64 (cbrt.f64 (pow.f64 (log.f64 z) 2)) y)
(*.f64 (pow.f64 (pow.f64 (log.f64 z) 2) 1/3) y)
(*.f64 (cbrt.f64 (pow.f64 (log.f64 z) 2)) y)
(*.f64 (pow.f64 (pow.f64 (log.f64 z) 2) 1/3) y)
(*.f64 (cbrt.f64 (pow.f64 (log.f64 z) 2)) y)
(*.f64 (pow.f64 (pow.f64 (log.f64 z) 2) 1/3) y)
(*.f64 (cbrt.f64 (pow.f64 (log.f64 z) 2)) y)
(*.f64 (pow.f64 (pow.f64 (log.f64 z) 2) 1/3) y)
(*.f64 (cbrt.f64 (pow.f64 (log.f64 z) 2)) y)
(*.f64 (pow.f64 (pow.f64 (log.f64 z) 2) 1/3) y)
(*.f64 (cbrt.f64 (pow.f64 (log.f64 z) 2)) y)
(*.f64 (pow.f64 (pow.f64 (log.f64 z) 2) 1/3) y)
(*.f64 (cbrt.f64 (pow.f64 (log.f64 z) 2)) y)
(*.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 1 z)) 2) 1/3) y)
(*.f64 (cbrt.f64 (pow.f64 (log.f64 z) 2)) y)
(*.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 1 z)) 2) 1/3) y)
(*.f64 (cbrt.f64 (pow.f64 (log.f64 z) 2)) y)
(*.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 1 z)) 2) 1/3) y)
(*.f64 (cbrt.f64 (pow.f64 (log.f64 z) 2)) y)
(*.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 1 z)) 2) 1/3) y)
(*.f64 (cbrt.f64 (pow.f64 (log.f64 z) 2)) y)
(*.f64 y (pow.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z))) 2) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 z) 2)) y)
(*.f64 y (pow.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z))) 2) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 z) 2)) y)
(*.f64 y (pow.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z))) 2) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 z) 2)) y)
(*.f64 y (pow.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z))) 2) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 z) 2)) y)

prune141.0ms (3.2%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	86	0	86
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	86	6	92

Error

Counts

92 → 6

Alt Table

Status	Error	Program
	0.7b	(+.f64 (.f64 x 1/2) (pow.f64 (cbrt.f64 (.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))) 3))
✓	0.3b	(+.f64 (.f64 x 1/2) (fma.f64 (.f64 y (pow.f64 (pow.f64 (log.f64 z) 2) 1/3)) (cbrt.f64 (log.f64 z)) (*.f64 y (-.f64 1 z))))
✓	0.1b	(+.f64 (.f64 x 1/2) (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))
✓	0.2b	(+.f64 (.f64 x 1/2) (fma.f64 (.f64 y (cbrt.f64 (pow.f64 (log.f64 z) 2))) (cbrt.f64 (log.f64 z)) (*.f64 y (-.f64 1 z))))
✓	0.1b	(fma.f64 y (-.f64 1 z) (fma.f64 y (log.f64 z) (*.f64 x 1/2)))
	0.8b	(fma.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 (cbrt.f64 y) (+.f64 (-.f64 1 z) (log.f64 z))) (.f64 x 1/2))

Compiler

Compiled 2210 to 1338 computations (39.5% saved)

regimes627.0ms (14.2%)

Accuracy

Total 0.1b remaining (74.3%)

Threshold costs 0.1b (74.3%)

Counts

56 → 1

Compiler

Compiled 7396 to 5178 computations (30% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	16
1	17	16
2	21	16
3	23	16
4	24	16

Stop Event

1×

saturated

Calls

Call 1

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

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

end102.0ms (2.3%)

Stop Event

1×

fuel

Compiler

Compiled 143 to 102 computations (28.7% saved)

Details

analyze243.0ms (5.5%)

sample1.1s (24.1%)

preprocess41.0ms (0.9%)

simplify39.0ms (0.9%)

prune6.0ms (0.1%)

localize8.0ms (0.2%)

series245.0ms (5.5%)

rewrite69.0ms (1.6%)

simplify52.0ms (1.2%)

prune176.0ms (4%)

localize8.0ms (0.2%)

series158.0ms (3.6%)

rewrite46.0ms (1%)

simplify49.0ms (1.1%)

prune60.0ms (1.3%)

localize13.0ms (0.3%)

series587.0ms (13.3%)

rewrite45.0ms (1%)

simplify37.0ms (0.8%)

prune95.0ms (2.1%)

localize16.0ms (0.4%)

series417.0ms (9.4%)

rewrite41.0ms (0.9%)

simplify34.0ms (0.8%)

prune141.0ms (3.2%)

regimes627.0ms (14.2%)

simplify3.0ms (0.1%)

end102.0ms (2.3%)

Profiling