Details

analyze356.0ms (10.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
6.2%	49.9%	43.8%	7
9.4%	46.8%	43.8%	8
14%	39%	47%	9
18.7%	30%	51.2%	10
21.8%	26.7%	51.4%	11
25.9%	21.8%	52.2%	12
29.4%	16.6%	54.1%	13
31.4%	14.3%	54.2%	14

Compiler

Compiled 16 to 12 computations (25% saved)

sample1.0s (30%)

Results

977.0ms	8256×	body	128	valid
53.0ms	420×	body	128	invalid

Compiler

Compiled 32 to 24 computations (25% saved)

preprocess39.0ms (1.1%)

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)

simplify40.0ms (1.2%)

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))

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.1b

Counts

3 → 1

Alt Table

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

Compiler

Compiled 51 to 31 computations (39.2% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

series51.0ms (1.5%)

Counts

3 → 69

Calls

18 calls:

Time	Variable		Point	Expression
31.0ms	y	@	0	(fma.f64 y (-.f64 (log.f64 z) z) y)
6.0ms	y	@	-inf	(fma.f64 y (-.f64 (log.f64 z) z) y)
3.0ms	z	@	0	(fma.f64 y (-.f64 (log.f64 z) z) y)
2.0ms	z	@	-inf	(fma.f64 y (-.f64 (log.f64 z) z) y)
2.0ms	x	@	0	(fma.f64 x 1/2 (fma.f64 y (-.f64 (log.f64 z) z) y))

rewrite57.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

472×	`prod-diff_binary64`
425×	`log-prod_binary64`
221×	`fma-def_binary64`
175×	`expm1-udef_binary64`
175×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	30
1	189	30
2	2415	30

Stop Event

1×	node limit

Counts

3 → 150

Calls

Call 1

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

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

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1))))))

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

simplify50.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

533×	`sub-neg_binary64`
489×	`fma-def_binary64`
365×	`unsub-neg_binary64`
261×	`associate--l-_binary64`
203×	`distribute-neg-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	51	926
1	152	819
2	384	717
3	1063	717
4	3037	717
5	4447	717

Stop Event

1×	node limit

Counts

219 → 175

Calls

Call 1

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

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

prune188.0ms (5.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	170	5	175
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	170	6	176

Error

0.0b

Counts

176 → 6

Alt Table

Status	Error	Program
	0.6b	(fma.f64 x 1/2 (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 (log.f64 z) z) y)) 3))
	33.7b	(fma.f64 x 1/2 (/.f64 (+.f64 (pow.f64 (.f64 y (-.f64 (log.f64 z) z)) 3) (pow.f64 y 3)) (fma.f64 (.f64 y (-.f64 (log.f64 z) z)) (.f64 y (-.f64 (log.f64 z) z)) (-.f64 (.f64 y y) (.f64 (.f64 y (-.f64 (log.f64 z) z)) y)))))
✓	0.1b	(fma.f64 x 1/2 (fma.f64 y (-.f64 (log.f64 z) z) y))
	14.9b	(fma.f64 x 1/2 (+.f64 (*.f64 (log.f64 z) y) y))
▶	0.6b	(fma.f64 x 1/2 (fma.f64 y (*.f64 (cbrt.f64 (-.f64 (log.f64 z) z)) (pow.f64 (cbrt.f64 (-.f64 (log.f64 z) z)) 2)) y))
	25.6b	(fma.f64 x 1/2 (fma.f64 y (+.f64 (log.f64 (*.f64 (cbrt.f64 (/.f64 z (exp.f64 z))) (cbrt.f64 (/.f64 z (exp.f64 z))))) (log.f64 (cbrt.f64 (/.f64 z (exp.f64 z))))) y))

Compiler

Compiled 3197 to 1292 computations (59.6% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(fma.f64 y (*.f64 (cbrt.f64 (-.f64 (log.f64 z) z)) (pow.f64 (cbrt.f64 (-.f64 (log.f64 z) z)) 2)) y)
✓	0.3b	(*.f64 (cbrt.f64 (-.f64 (log.f64 z) z)) (pow.f64 (cbrt.f64 (-.f64 (log.f64 z) z)) 2))
✓	0.5b	(pow.f64 (cbrt.f64 (-.f64 (log.f64 z) z)) 2)
✓	0.5b	(cbrt.f64 (-.f64 (log.f64 z) z))

series9.0ms (0.3%)

Counts

4 → 44

Calls

15 calls:

Time	Variable		Point	Expression
2.0ms	z	@	0	(pow.f64 (cbrt.f64 (-.f64 (log.f64 z) z)) 2)
1.0ms	z	@	0	(cbrt.f64 (-.f64 (log.f64 z) z))
1.0ms	z	@	inf	(pow.f64 (cbrt.f64 (-.f64 (log.f64 z) z)) 2)
1.0ms	z	@	inf	(cbrt.f64 (-.f64 (log.f64 z) z))
1.0ms	z	@	-inf	(pow.f64 (cbrt.f64 (-.f64 (log.f64 z) z)) 2)

rewrite51.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

858×	`log1p-expm1-u_binary64`
858×	`expm1-log1p-u_binary64`
96×	`add-sqr-sqrt_binary64`
93×	`pow1_binary64`
92×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	35
1	212	35
2	2377	35

Stop Event

1×	node limit

Counts

4 → 99

Calls

Call 1

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

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

simplify38.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

725×	`fma-neg_binary64`
381×	`times-frac_binary64`
249×	`fma-def_binary64`
231×	`associate-r_binary64`
228×	`unswap-sqr_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	83	726
1	252	726
2	736	676
3	2956	676

Stop Event

1×	node limit

Counts

143 → 130

Calls

Call 1

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

Outputs
(pow.f64 (log.f64 z) 1/3)
(cbrt.f64 (log.f64 z))
(-.f64 (pow.f64 (log.f64 z) 1/3) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 2)) 1/9) z)))
(+.f64 (cbrt.f64 (log.f64 z)) (.f64 -1/3 (.f64 z (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 2)) 1/18)))))
(+.f64 (cbrt.f64 (log.f64 z)) (.f64 (.f64 z (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 2)) 1/18))) -1/3))
(fma.f64 (.f64 (.f64 -1/3 (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 2)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 2)) 1/18)) z (cbrt.f64 (log.f64 z)))
(fma.f64 (.f64 z (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 2)) 1/18))) -1/3 (cbrt.f64 (log.f64 z)))
(-.f64 (pow.f64 (log.f64 z) 1/3) (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 7)) 1/9) (pow.f64 z 2))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 2)) 1/9) z))))
(-.f64 (cbrt.f64 (log.f64 z)) (fma.f64 1/9 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 7)) 1/18)) (.f64 z z)) (.f64 1/3 (.f64 z (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 2)) 1/18))))))
(-.f64 (cbrt.f64 (log.f64 z)) (fma.f64 (.f64 (.f64 1/3 (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 2)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 2)) 1/18)) z (.f64 1/9 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 7)) 1/18)) (.f64 z z)))))
(-.f64 (cbrt.f64 (log.f64 z)) (.f64 z (+.f64 (.f64 z (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 7)) 1/18)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 2)) 1/18))))))
(-.f64 (cbrt.f64 (log.f64 z)) (.f64 z (+.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 2)) 1/18) (.f64 1/3 (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 2)) 1/18))) (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 7)) 1/18)) (.f64 1/9 z)))))
(-.f64 (pow.f64 (log.f64 z) 1/3) (+.f64 (.f64 5/81 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 4)) 1/3) (pow.f64 z 3))) (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 7)) 1/9) (pow.f64 z 2))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 2)) 1/9) z)))))
(-.f64 (cbrt.f64 (log.f64 z)) (fma.f64 5/81 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 z) 4))) (pow.f64 z 3)) (fma.f64 1/9 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 7)) 1/18)) (.f64 z z)) (.f64 1/3 (.f64 z (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 2)) 1/18)))))))
(-.f64 (cbrt.f64 (log.f64 z)) (fma.f64 5/81 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 z) 4))) (pow.f64 z 3)) (fma.f64 (.f64 (.f64 1/3 (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 2)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 2)) 1/18)) z (.f64 1/9 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 7)) 1/18)) (*.f64 z z))))))
(-.f64 (cbrt.f64 (log.f64 z)) (fma.f64 5/81 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 z) 4))) (pow.f64 z 3)) (.f64 z (+.f64 (.f64 z (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 7)) 1/18)))) (.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 2)) 1/18)))))))
(-.f64 (cbrt.f64 (log.f64 z)) (fma.f64 z (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 2)) 1/18) (.f64 1/3 (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 2)) 1/18))) (.f64 (.f64 z z) (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 7)) 1/18))) (.f64 z (.f64 5/81 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 z) 4)))))))))
(pow.f64 (pow.f64 (log.f64 z) 2) 1/3)
(cbrt.f64 (pow.f64 (log.f64 z) 2))
(-.f64 (pow.f64 (pow.f64 (log.f64 z) 2) 1/3) (.f64 2/3 (.f64 (pow.f64 (log.f64 z) 1/9) z)))
(+.f64 (cbrt.f64 (pow.f64 (log.f64 z) 2)) (.f64 -2/3 (.f64 z (*.f64 (pow.f64 (log.f64 z) 1/18) (pow.f64 (log.f64 z) 1/18)))))
(+.f64 (cbrt.f64 (pow.f64 (log.f64 z) 2)) (.f64 (.f64 -2/3 z) (*.f64 (pow.f64 (log.f64 z) 1/18) (pow.f64 (log.f64 z) 1/18))))
(fma.f64 (.f64 z (.f64 (pow.f64 (log.f64 z) 1/18) (pow.f64 (log.f64 z) 1/18))) -2/3 (cbrt.f64 (pow.f64 (log.f64 z) 2)))
(-.f64 (pow.f64 (pow.f64 (log.f64 z) 2) 1/3) (+.f64 (.f64 2/3 (.f64 (pow.f64 (log.f64 z) 1/9) z)) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 4)) 1/9) (pow.f64 z 2)))))
(-.f64 (cbrt.f64 (pow.f64 (log.f64 z) 2)) (fma.f64 2/3 (.f64 z (.f64 (pow.f64 (log.f64 z) 1/18) (pow.f64 (log.f64 z) 1/18))) (.f64 1/9 (.f64 (.f64 z z) (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 4)) 1/18))))))
(-.f64 (cbrt.f64 (pow.f64 (log.f64 z) 2)) (fma.f64 1/9 (.f64 z (.f64 z (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 4)) 1/18)))) (.f64 2/3 (.f64 z (.f64 (pow.f64 (log.f64 z) 1/18) (pow.f64 (log.f64 z) 1/18))))))
(+.f64 (cbrt.f64 (pow.f64 (log.f64 z) 2)) (.f64 z (-.f64 (.f64 (.f64 (pow.f64 (log.f64 z) 1/18) (pow.f64 (log.f64 z) 1/18)) -2/3) (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 4)) 1/18)) (.f64 1/9 z)))))
(-.f64 (pow.f64 (pow.f64 (log.f64 z) 2) 1/3) (+.f64 (.f64 2/3 (.f64 (pow.f64 (log.f64 z) 1/9) z)) (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 4)) 1/9) (pow.f64 z 2))) (*.f64 4/81 (/.f64 (pow.f64 z 3) (log.f64 z))))))
(-.f64 (cbrt.f64 (pow.f64 (log.f64 z) 2)) (fma.f64 2/3 (.f64 z (.f64 (pow.f64 (log.f64 z) 1/18) (pow.f64 (log.f64 z) 1/18))) (fma.f64 1/9 (.f64 (.f64 z z) (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 4)) 1/18))) (/.f64 (.f64 4/81 (pow.f64 z 3)) (log.f64 z)))))
(-.f64 (cbrt.f64 (pow.f64 (log.f64 z) 2)) (fma.f64 2/3 (.f64 z (.f64 (pow.f64 (log.f64 z) 1/18) (pow.f64 (log.f64 z) 1/18))) (fma.f64 1/9 (.f64 z (.f64 z (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 4)) 1/18)))) (.f64 4/81 (/.f64 (pow.f64 z 3) (log.f64 z))))))
(-.f64 (cbrt.f64 (pow.f64 (log.f64 z) 2)) (fma.f64 4/81 (/.f64 (pow.f64 z 3) (log.f64 z)) (.f64 z (+.f64 (.f64 2/3 (.f64 (pow.f64 (log.f64 z) 1/18) (pow.f64 (log.f64 z) 1/18))) (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 4)) 1/18)) (.f64 1/9 z))))))
(+.f64 (cbrt.f64 (pow.f64 (log.f64 z) 2)) (fma.f64 z (-.f64 (.f64 (.f64 (pow.f64 (log.f64 z) 1/18) (pow.f64 (log.f64 z) 1/18)) -2/3) (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 4)) 1/18)) (.f64 1/9 z))) (.f64 (/.f64 (pow.f64 z 3) (log.f64 z)) -4/81)))
(log.f64 z)
(-.f64 (log.f64 z) z)
(-.f64 (log.f64 z) z)
(-.f64 (log.f64 z) z)
(*.f64 -1 z)
(neg.f64 z)
(neg.f64 (+.f64 (log.f64 (/.f64 1 z)) z))
(-.f64 (log.f64 z) z)
(neg.f64 (+.f64 (log.f64 (/.f64 1 z)) z))
(-.f64 (log.f64 z) z)
(neg.f64 (+.f64 (log.f64 (/.f64 1 z)) z))
(-.f64 (log.f64 z) z)
(*.f64 -1 z)
(neg.f64 z)
(-.f64 (log.f64 -1) (+.f64 (log.f64 (/.f64 -1 z)) z))
(-.f64 (log.f64 z) z)
(-.f64 (log.f64 -1) (+.f64 (log.f64 (/.f64 -1 z)) z))
(-.f64 (log.f64 z) z)
(-.f64 (log.f64 -1) (+.f64 (log.f64 (/.f64 -1 z)) z))
(-.f64 (log.f64 z) z)
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(*.f64 y (+.f64 1 (-.f64 (log.f64 z) z)))
(*.f64 y (+.f64 (log.f64 z) (-.f64 1 z)))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(*.f64 y (+.f64 1 (-.f64 (log.f64 z) z)))
(*.f64 y (+.f64 (log.f64 z) (-.f64 1 z)))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(*.f64 y (+.f64 1 (-.f64 (log.f64 z) z)))
(*.f64 y (+.f64 (log.f64 z) (-.f64 1 z)))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(*.f64 y (+.f64 1 (-.f64 (log.f64 z) z)))
(*.f64 y (+.f64 (log.f64 z) (-.f64 1 z)))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(*.f64 y (+.f64 1 (-.f64 (log.f64 z) z)))
(*.f64 y (+.f64 (log.f64 z) (-.f64 1 z)))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(*.f64 y (+.f64 1 (-.f64 (log.f64 z) z)))
(*.f64 y (+.f64 (log.f64 z) (-.f64 1 z)))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(*.f64 y (+.f64 1 (-.f64 (log.f64 z) z)))
(*.f64 y (+.f64 (log.f64 z) (-.f64 1 z)))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(*.f64 y (+.f64 1 (-.f64 (log.f64 z) z)))
(*.f64 y (+.f64 (log.f64 z) (-.f64 1 z)))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(.f64 -1 (.f64 y (-.f64 z (+.f64 1 (log.f64 z)))))
(*.f64 y (+.f64 1 (-.f64 (log.f64 z) z)))
(*.f64 y (+.f64 (log.f64 z) (-.f64 1 z)))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(.f64 -1 (.f64 y (-.f64 z (+.f64 1 (log.f64 z)))))
(*.f64 y (+.f64 1 (-.f64 (log.f64 z) z)))
(*.f64 y (+.f64 (log.f64 z) (-.f64 1 z)))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(.f64 -1 (.f64 y (-.f64 z (+.f64 1 (log.f64 z)))))
(*.f64 y (+.f64 1 (-.f64 (log.f64 z) z)))
(*.f64 y (+.f64 (log.f64 z) (-.f64 1 z)))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(.f64 -1 (.f64 y (-.f64 z (+.f64 1 (log.f64 z)))))
(*.f64 y (+.f64 1 (-.f64 (log.f64 z) z)))
(*.f64 y (+.f64 (log.f64 z) (-.f64 1 z)))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(+.f64 (*.f64 (log.f64 z) y) y)
(fma.f64 (log.f64 z) y y)
(-.f64 (+.f64 (.f64 (log.f64 z) y) y) (.f64 y z))
(*.f64 y (+.f64 1 (-.f64 (log.f64 z) z)))
(*.f64 y (+.f64 (log.f64 z) (-.f64 1 z)))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(-.f64 (+.f64 (.f64 (log.f64 z) y) y) (.f64 y z))
(*.f64 y (+.f64 1 (-.f64 (log.f64 z) z)))
(*.f64 y (+.f64 (log.f64 z) (-.f64 1 z)))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(-.f64 (+.f64 (.f64 (log.f64 z) y) y) (.f64 y z))
(*.f64 y (+.f64 1 (-.f64 (log.f64 z) z)))
(*.f64 y (+.f64 (log.f64 z) (-.f64 1 z)))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(.f64 -1 (.f64 y z))
(neg.f64 (*.f64 z y))
(*.f64 y (neg.f64 z))
(*.f64 z (neg.f64 y))
(-.f64 y (+.f64 (.f64 (log.f64 (/.f64 1 z)) y) (.f64 y z)))
(*.f64 y (+.f64 1 (-.f64 (log.f64 z) z)))
(*.f64 y (+.f64 (log.f64 z) (-.f64 1 z)))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(-.f64 y (+.f64 (.f64 (log.f64 (/.f64 1 z)) y) (.f64 y z)))
(*.f64 y (+.f64 1 (-.f64 (log.f64 z) z)))
(*.f64 y (+.f64 (log.f64 z) (-.f64 1 z)))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(-.f64 y (+.f64 (.f64 (log.f64 (/.f64 1 z)) y) (.f64 y z)))
(*.f64 y (+.f64 1 (-.f64 (log.f64 z) z)))
(*.f64 y (+.f64 (log.f64 z) (-.f64 1 z)))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(.f64 -1 (.f64 y z))
(neg.f64 (*.f64 z y))
(*.f64 y (neg.f64 z))
(*.f64 z (neg.f64 y))
(-.f64 (+.f64 y (.f64 y (log.f64 -1))) (+.f64 (.f64 y (log.f64 (/.f64 -1 z))) (*.f64 y z)))
(*.f64 y (+.f64 1 (-.f64 (log.f64 z) z)))
(*.f64 y (+.f64 (log.f64 z) (-.f64 1 z)))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(-.f64 (+.f64 y (.f64 y (log.f64 -1))) (+.f64 (.f64 y (log.f64 (/.f64 -1 z))) (*.f64 y z)))
(*.f64 y (+.f64 1 (-.f64 (log.f64 z) z)))
(*.f64 y (+.f64 (log.f64 z) (-.f64 1 z)))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(-.f64 (+.f64 y (.f64 y (log.f64 -1))) (+.f64 (.f64 y (log.f64 (/.f64 -1 z))) (*.f64 y z)))
(*.f64 y (+.f64 1 (-.f64 (log.f64 z) z)))
(*.f64 y (+.f64 (log.f64 z) (-.f64 1 z)))
(fma.f64 y (-.f64 (log.f64 z) z) y)

prune156.0ms (4.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	162	1	163
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	162	7	169

Error

0.0b

Counts

169 → 7

Alt Table

Status	Error	Program
✓	0.1b	(fma.f64 x 1/2 (fma.f64 y (-.f64 (log.f64 z) z) y))
	16.6b	(fma.f64 x 1/2 (/.f64 (-.f64 (.f64 (.f64 (-.f64 (log.f64 z) z) y) (.f64 (-.f64 (log.f64 z) z) y)) (.f64 y y)) (-.f64 (*.f64 (-.f64 (log.f64 z) z) y) y)))
▶	0.6b	(fma.f64 x 1/2 (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 (log.f64 z) z) y)) 3))
	33.7b	(fma.f64 x 1/2 (/.f64 (+.f64 (pow.f64 (.f64 y (-.f64 (log.f64 z) z)) 3) (pow.f64 y 3)) (fma.f64 (.f64 y (-.f64 (log.f64 z) z)) (.f64 y (-.f64 (log.f64 z) z)) (-.f64 (.f64 y y) (.f64 (.f64 y (-.f64 (log.f64 z) z)) y)))))
	14.9b	(fma.f64 x 1/2 (+.f64 (*.f64 (log.f64 z) y) y))
✓	0.6b	(fma.f64 x 1/2 (fma.f64 y (*.f64 (cbrt.f64 (-.f64 (log.f64 z) z)) (pow.f64 (cbrt.f64 (-.f64 (log.f64 z) z)) 2)) y))
	25.6b	(fma.f64 x 1/2 (fma.f64 y (+.f64 (log.f64 (*.f64 (cbrt.f64 (/.f64 z (exp.f64 z))) (cbrt.f64 (/.f64 z (exp.f64 z))))) (log.f64 (cbrt.f64 (/.f64 z (exp.f64 z))))) y))

Compiler

Compiled 4024 to 1814 computations (54.9% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(-.f64 (log.f64 z) z)
	0.2b	(fma.f64 y (-.f64 (log.f64 z) z) y)
✓	0.6b	(cbrt.f64 (fma.f64 y (-.f64 (log.f64 z) z) y))
✓	0.7b	(pow.f64 (cbrt.f64 (fma.f64 y (-.f64 (log.f64 z) z) y)) 3)

series34.0ms (1%)

Counts

2 → 8

Calls

12 calls:

Time	Variable		Point	Expression
26.0ms	z	@	0	(pow.f64 (cbrt.f64 (fma.f64 y (-.f64 (log.f64 z) z) y)) 3)
1.0ms	y	@	0	(pow.f64 (cbrt.f64 (fma.f64 y (-.f64 (log.f64 z) z) y)) 3)
1.0ms	y	@	-inf	(pow.f64 (cbrt.f64 (fma.f64 y (-.f64 (log.f64 z) z) y)) 3)
1.0ms	y	@	inf	(pow.f64 (cbrt.f64 (fma.f64 y (-.f64 (log.f64 z) z) y)) 3)
1.0ms	z	@	inf	(pow.f64 (cbrt.f64 (fma.f64 y (-.f64 (log.f64 z) z) y)) 3)

rewrite42.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

828×	`log1p-expm1-u_binary64`
828×	`expm1-log1p-u_binary64`
89×	`add-sqr-sqrt_binary64`
85×	`add-log-exp_binary64`
85×	`pow1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	22
1	195	22
2	2242	22

Stop Event

1×	node limit

Counts

2 → 49

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 (fma.f64 y (-.f64 (log.f64 z) z) y)) 3)
(cbrt.f64 (fma.f64 y (-.f64 (log.f64 z) z) y))

Outputs

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

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

simplify56.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

648×	`unswap-sqr_binary64`
568×	`distribute-rgt-neg-in_binary64`
432×	`fma-neg_binary64`
400×	`associate-r_binary64`
374×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	46	435
1	147	435
2	482	430
3	2673	430

Stop Event

1×	node limit

Counts

57 → 61

Calls

Call 1

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

Outputs
(+.f64 (*.f64 (log.f64 z) y) y)
(fma.f64 (log.f64 z) y y)
(-.f64 (+.f64 (.f64 (log.f64 z) y) y) (.f64 (.f64 y z) (pow.f64 (pow.f64 (+.f64 (.f64 (log.f64 z) y) y) 4) 1/9)))
(-.f64 (fma.f64 (log.f64 z) y y) (.f64 (.f64 z y) (*.f64 (pow.f64 (pow.f64 (fma.f64 (log.f64 z) y y) 4) 1/18) (pow.f64 (pow.f64 (fma.f64 (log.f64 z) y y) 4) 1/18))))
(-.f64 (fma.f64 (log.f64 z) y y) (.f64 z (.f64 y (*.f64 (pow.f64 (pow.f64 (fma.f64 (log.f64 z) y y) 4) 1/18) (pow.f64 (pow.f64 (fma.f64 (log.f64 z) y y) 4) 1/18)))))
(.f64 y (-.f64 (+.f64 (log.f64 z) 1) (.f64 (pow.f64 (pow.f64 (fma.f64 (log.f64 z) y y) 4) 1/18) (*.f64 z (pow.f64 (pow.f64 (fma.f64 (log.f64 z) y y) 4) 1/18)))))
(-.f64 (+.f64 (.f64 (log.f64 z) y) y) (.f64 (.f64 y z) (pow.f64 (pow.f64 (+.f64 (.f64 (log.f64 z) y) y) 4) 1/9)))
(-.f64 (fma.f64 (log.f64 z) y y) (.f64 (.f64 z y) (*.f64 (pow.f64 (pow.f64 (fma.f64 (log.f64 z) y y) 4) 1/18) (pow.f64 (pow.f64 (fma.f64 (log.f64 z) y y) 4) 1/18))))
(-.f64 (fma.f64 (log.f64 z) y y) (.f64 z (.f64 y (*.f64 (pow.f64 (pow.f64 (fma.f64 (log.f64 z) y y) 4) 1/18) (pow.f64 (pow.f64 (fma.f64 (log.f64 z) y y) 4) 1/18)))))
(.f64 y (-.f64 (+.f64 (log.f64 z) 1) (.f64 (pow.f64 (pow.f64 (fma.f64 (log.f64 z) y y) 4) 1/18) (*.f64 z (pow.f64 (pow.f64 (fma.f64 (log.f64 z) y y) 4) 1/18)))))
(-.f64 (+.f64 (.f64 (log.f64 z) y) y) (.f64 (.f64 y z) (pow.f64 (pow.f64 (+.f64 (.f64 (log.f64 z) y) y) 4) 1/9)))
(-.f64 (fma.f64 (log.f64 z) y y) (.f64 (.f64 z y) (*.f64 (pow.f64 (pow.f64 (fma.f64 (log.f64 z) y y) 4) 1/18) (pow.f64 (pow.f64 (fma.f64 (log.f64 z) y y) 4) 1/18))))
(-.f64 (fma.f64 (log.f64 z) y y) (.f64 z (.f64 y (*.f64 (pow.f64 (pow.f64 (fma.f64 (log.f64 z) y y) 4) 1/18) (pow.f64 (pow.f64 (fma.f64 (log.f64 z) y y) 4) 1/18)))))
(.f64 y (-.f64 (+.f64 (log.f64 z) 1) (.f64 (pow.f64 (pow.f64 (fma.f64 (log.f64 z) y y) 4) 1/18) (*.f64 z (pow.f64 (pow.f64 (fma.f64 (log.f64 z) y y) 4) 1/18)))))
(pow.f64 (+.f64 (*.f64 (log.f64 z) y) y) 1/3)
(cbrt.f64 (fma.f64 (log.f64 z) y y))
(-.f64 (pow.f64 (+.f64 (.f64 (log.f64 z) y) y) 1/3) (.f64 1/3 (.f64 (.f64 y z) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 (log.f64 z) y) y) 2)) 1/9))))
(+.f64 (cbrt.f64 (fma.f64 (log.f64 z) y y)) (.f64 -1/3 (.f64 y (.f64 z (.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 (log.f64 z) y y) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 (log.f64 z) y y) 2)) 1/18))))))
(+.f64 (cbrt.f64 (fma.f64 (log.f64 z) y y)) (.f64 (.f64 y (.f64 (.f64 z (pow.f64 (/.f64 1 (pow.f64 (fma.f64 (log.f64 z) y y) 2)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 (log.f64 z) y y) 2)) 1/18))) -1/3))
(fma.f64 (.f64 (.f64 z y) -1/3) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 (log.f64 z) y y) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 (log.f64 z) y y) 2)) 1/18)) (cbrt.f64 (fma.f64 (log.f64 z) y y)))
(fma.f64 (.f64 z (.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 (log.f64 z) y y) 2)) 1/18) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 (log.f64 z) y y) 2)) 1/18) y))) -1/3 (cbrt.f64 (fma.f64 (log.f64 z) y y)))
(-.f64 (pow.f64 (+.f64 (.f64 (log.f64 z) y) y) 1/3) (+.f64 (.f64 1/9 (.f64 (.f64 (pow.f64 y 2) (pow.f64 z 2)) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 (log.f64 z) y) y) 7)) 1/9))) (.f64 1/3 (.f64 (.f64 y z) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 (log.f64 z) y) y) 2)) 1/9)))))
(-.f64 (cbrt.f64 (fma.f64 (log.f64 z) y y)) (fma.f64 1/9 (.f64 (.f64 (.f64 y y) (.f64 z z)) (.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 (log.f64 z) y y) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 (log.f64 z) y y) 7)) 1/18))) (.f64 1/3 (.f64 y (.f64 z (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 (log.f64 z) y y) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 (log.f64 z) y y) 2)) 1/18)))))))
(-.f64 (cbrt.f64 (fma.f64 (log.f64 z) y y)) (fma.f64 1/9 (.f64 y (.f64 y (.f64 (.f64 z (pow.f64 (/.f64 1 (pow.f64 (fma.f64 (log.f64 z) y y) 7)) 1/18)) (.f64 z (pow.f64 (/.f64 1 (pow.f64 (fma.f64 (log.f64 z) y y) 7)) 1/18))))) (.f64 1/3 (.f64 y (.f64 (*.f64 z (pow.f64 (/.f64 1 (pow.f64 (fma.f64 (log.f64 z) y y) 2)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 (log.f64 z) y y) 2)) 1/18))))))
(-.f64 (cbrt.f64 (fma.f64 (log.f64 z) y y)) (fma.f64 (.f64 z y) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 (log.f64 z) y y) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 (log.f64 z) y y) 2)) 1/18))) (.f64 (.f64 z y) (.f64 (.f64 z y) (.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 (log.f64 z) y y) 7)) 1/18) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 (log.f64 z) y y) 7)) 1/18) 1/9))))))
(+.f64 (cbrt.f64 (fma.f64 (log.f64 z) y y)) (fma.f64 (.f64 (.f64 z y) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 (log.f64 z) y y) 2)) 1/18)) (.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 (log.f64 z) y y) 2)) 1/18) -1/3) (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 (log.f64 z) y y) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 (log.f64 z) y y) 7)) 1/18)) (.f64 (.f64 y (.f64 y (*.f64 z z))) -1/9))))
(-.f64 (pow.f64 (+.f64 (.f64 (log.f64 z) y) y) 1/3) (+.f64 (.f64 1/9 (.f64 (.f64 (pow.f64 y 2) (pow.f64 z 2)) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 (log.f64 z) y) y) 7)) 1/9))) (+.f64 (.f64 1/3 (.f64 (.f64 y z) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 (log.f64 z) y) y) 2)) 1/9))) (.f64 5/81 (.f64 (.f64 (pow.f64 y 3) (pow.f64 z 3)) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 (log.f64 z) y) y) 4)) 1/3))))))
(-.f64 (cbrt.f64 (fma.f64 (log.f64 z) y y)) (fma.f64 1/9 (.f64 (.f64 (.f64 y y) (.f64 z z)) (.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 (log.f64 z) y y) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 (log.f64 z) y y) 7)) 1/18))) (fma.f64 1/3 (.f64 y (.f64 z (.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 (log.f64 z) y y) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 (log.f64 z) y y) 2)) 1/18)))) (.f64 5/81 (.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 3)) (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 (log.f64 z) y y) 4))))))))
(-.f64 (cbrt.f64 (fma.f64 (log.f64 z) y y)) (fma.f64 1/9 (.f64 y (.f64 y (.f64 (.f64 z (pow.f64 (/.f64 1 (pow.f64 (fma.f64 (log.f64 z) y y) 7)) 1/18)) (.f64 z (pow.f64 (/.f64 1 (pow.f64 (fma.f64 (log.f64 z) y y) 7)) 1/18))))) (fma.f64 1/3 (.f64 y (.f64 (.f64 z (pow.f64 (/.f64 1 (pow.f64 (fma.f64 (log.f64 z) y y) 2)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 (log.f64 z) y y) 2)) 1/18))) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 (log.f64 z) y y) 4))) (.f64 5/81 (*.f64 (pow.f64 y 3) (pow.f64 z 3)))))))
(-.f64 (cbrt.f64 (fma.f64 (log.f64 z) y y)) (fma.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 (log.f64 z) y y) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 (log.f64 z) y y) 2)) 1/18)) (.f64 z (.f64 y 1/3)) (fma.f64 1/9 (.f64 (.f64 z z) (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 (log.f64 z) y y) 7)) 1/18) y) (.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 (log.f64 z) y y) 7)) 1/18) y))) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 (log.f64 z) y y) 4))) (.f64 5/81 (*.f64 (pow.f64 y 3) (pow.f64 z 3)))))))
(+.f64 (cbrt.f64 (fma.f64 (log.f64 z) y y)) (fma.f64 (.f64 (.f64 z y) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 (log.f64 z) y y) 2)) 1/18)) (.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 (log.f64 z) y y) 2)) 1/18) -1/3) (fma.f64 (.f64 -1/9 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 (log.f64 z) y y) 7)) 1/18)) (.f64 (.f64 y (.f64 y (.f64 z z))) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 (log.f64 z) y y) 7)) 1/18)) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 (log.f64 z) y y) 4))) (.f64 (pow.f64 z 3) (*.f64 (pow.f64 y 3) -5/81))))))

prune227.0ms (6.5%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	196	1	197
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	196	8	204

Error

0.0b

Counts

204 → 8

Alt Table

Status	Error	Program
✓	0.1b	(fma.f64 x 1/2 (fma.f64 y (-.f64 (log.f64 z) z) y))
	16.6b	(fma.f64 x 1/2 (/.f64 (-.f64 (.f64 (.f64 (-.f64 (log.f64 z) z) y) (.f64 (-.f64 (log.f64 z) z) y)) (.f64 y y)) (-.f64 (*.f64 (-.f64 (log.f64 z) z) y) y)))
✓	0.6b	(fma.f64 x 1/2 (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 (log.f64 z) z) y)) 3))
	33.7b	(fma.f64 x 1/2 (/.f64 (+.f64 (pow.f64 (.f64 y (-.f64 (log.f64 z) z)) 3) (pow.f64 y 3)) (fma.f64 (.f64 y (-.f64 (log.f64 z) z)) (.f64 y (-.f64 (log.f64 z) z)) (-.f64 (.f64 y y) (.f64 (.f64 y (-.f64 (log.f64 z) z)) y)))))
	14.9b	(fma.f64 x 1/2 (+.f64 (*.f64 (log.f64 z) y) y))
▶	0.8b	(fma.f64 x 1/2 (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 (log.f64 z) z) y)) 2)) 3) (cbrt.f64 (fma.f64 y (-.f64 (log.f64 z) z) y))))
✓	0.6b	(fma.f64 x 1/2 (fma.f64 y (*.f64 (cbrt.f64 (-.f64 (log.f64 z) z)) (pow.f64 (cbrt.f64 (-.f64 (log.f64 z) z)) 2)) y))
	25.6b	(fma.f64 x 1/2 (fma.f64 y (+.f64 (log.f64 (*.f64 (cbrt.f64 (/.f64 z (exp.f64 z))) (cbrt.f64 (/.f64 z (exp.f64 z))))) (log.f64 (cbrt.f64 (/.f64 z (exp.f64 z))))) y))

Compiler

Compiled 4485 to 2033 computations (54.7% saved)

localize14.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(pow.f64 (cbrt.f64 (fma.f64 y (-.f64 (log.f64 z) z) y)) 2)
	0.6b	(cbrt.f64 (fma.f64 y (-.f64 (log.f64 z) z) y))
✓	0.7b	(cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 (log.f64 z) z) y)) 2))
✓	0.7b	(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 (log.f64 z) z) y)) 2)) 3)

series114.0ms (3.3%)

Counts

3 → 52

Calls

18 calls:

Time	Variable		Point	Expression
38.0ms	y	@	-inf	(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 (log.f64 z) z) y)) 2)) 3)
17.0ms	z	@	-inf	(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 (log.f64 z) z) y)) 2)) 3)
16.0ms	y	@	0	(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 (log.f64 z) z) y)) 2)) 3)
14.0ms	z	@	0	(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 (log.f64 z) z) y)) 2)) 3)
11.0ms	y	@	inf	(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 (log.f64 z) z) y)) 2)) 3)

rewrite52.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

454×	`log-prod_binary64`
423×	`prod-diff_binary64`
221×	`fma-def_binary64`
183×	`expm1-udef_binary64`
183×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	47
1	255	47
2	2803	47

Stop Event

1×	node limit

Counts

3 → 77

Calls

Call 1

Inputs

(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 (log.f64 z) z) y)) 2)) 3)

(cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 (log.f64 z) z) y)) 2))

(pow.f64 (cbrt.f64 (fma.f64 y (-.f64 (log.f64 z) z) y)) 2)

Outputs

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

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

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

simplify91.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

548×	`associate-r_binary64`
540×	`fma-def_binary64`
376×	`times-frac_binary64`
327×	`associate-l_binary64`
244×	`associate-/r*_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	455	6786
1	1600	6056

Stop Event

1×	node limit

Counts

129 → 115

Calls

Call 1

Inputs
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (pow.f64 (-.f64 (+.f64 1 (log.f64 z)) z) 2)) (.f64 2 (log.f64 y))))) 3)
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (pow.f64 (-.f64 (+.f64 1 (log.f64 z)) z) 2)) (.f64 2 (log.f64 y))))) 3)
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (pow.f64 (-.f64 (+.f64 1 (log.f64 z)) z) 2)) (.f64 2 (log.f64 y))))) 3)
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (pow.f64 (-.f64 (+.f64 1 (log.f64 z)) z) 2)) (.f64 2 (log.f64 y))))) 3)
(pow.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 (pow.f64 (-.f64 (+.f64 1 (log.f64 z)) z) 2)) (.f64 2 (log.f64 (/.f64 1 y)))))) 3)
(pow.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 (pow.f64 (-.f64 (+.f64 1 (log.f64 z)) z) 2)) (.f64 2 (log.f64 (/.f64 1 y)))))) 3)
(pow.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 (pow.f64 (-.f64 (+.f64 1 (log.f64 z)) z) 2)) (.f64 2 (log.f64 (/.f64 1 y)))))) 3)
(pow.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 (pow.f64 (-.f64 (+.f64 1 (log.f64 z)) z) 2)) (.f64 2 (log.f64 (/.f64 1 y)))))) 3)
(pow.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 (pow.f64 (-.f64 z (+.f64 1 (log.f64 z))) 2)) (.f64 2 (log.f64 (/.f64 -1 y)))))) 3)
(pow.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 (pow.f64 (-.f64 z (+.f64 1 (log.f64 z))) 2)) (.f64 2 (log.f64 (/.f64 -1 y)))))) 3)
(pow.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 (pow.f64 (-.f64 z (+.f64 1 (log.f64 z))) 2)) (.f64 2 (log.f64 (/.f64 -1 y)))))) 3)
(pow.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 (pow.f64 (-.f64 z (+.f64 1 (log.f64 z))) 2)) (.f64 2 (log.f64 (/.f64 -1 y)))))) 3)
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(exp.f64 (.f64 1/9 (-.f64 (log.f64 (pow.f64 y 2)) (.f64 2 (log.f64 (/.f64 -1 z))))))
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(pow.f64 (pow.f64 (+.f64 (*.f64 (log.f64 z) y) y) 2) 1/3)
(-.f64 (pow.f64 (pow.f64 (+.f64 (.f64 (log.f64 z) y) y) 2) 1/3) (.f64 2/3 (.f64 (.f64 y z) (pow.f64 (+.f64 (*.f64 (log.f64 z) y) y) 1/9))))
(-.f64 (pow.f64 (pow.f64 (+.f64 (.f64 (log.f64 z) y) y) 2) 1/3) (+.f64 (.f64 1/9 (.f64 (.f64 (pow.f64 y 2) (pow.f64 z 2)) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 (log.f64 z) y) y) 4)) 1/9))) (.f64 2/3 (.f64 (.f64 y z) (pow.f64 (+.f64 (*.f64 (log.f64 z) y) y) 1/9)))))
(-.f64 (pow.f64 (pow.f64 (+.f64 (.f64 (log.f64 z) y) y) 2) 1/3) (+.f64 (.f64 1/9 (.f64 (.f64 (pow.f64 y 2) (pow.f64 z 2)) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 (log.f64 z) y) y) 4)) 1/9))) (+.f64 (.f64 4/81 (/.f64 (.f64 (pow.f64 y 3) (pow.f64 z 3)) (+.f64 (.f64 (log.f64 z) y) y))) (.f64 2/3 (.f64 (.f64 y z) (pow.f64 (+.f64 (.f64 (log.f64 z) y) y) 1/9))))))

Outputs
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (pow.f64 (-.f64 (+.f64 1 (log.f64 z)) z) 2)) (.f64 2 (log.f64 y))))) 3)
(pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 (pow.f64 (+.f64 1 (-.f64 (log.f64 z) z)) 2)) (*.f64 2 (log.f64 y)))) 3)
(pow.f64 (pow.f64 (exp.f64 1/9) (*.f64 2 (+.f64 (log1p.f64 (-.f64 (log.f64 z) z)) (log.f64 y)))) 3)
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (pow.f64 (-.f64 (+.f64 1 (log.f64 z)) z) 2)) (.f64 2 (log.f64 y))))) 3)
(pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 (pow.f64 (+.f64 1 (-.f64 (log.f64 z) z)) 2)) (*.f64 2 (log.f64 y)))) 3)
(pow.f64 (pow.f64 (exp.f64 1/9) (*.f64 2 (+.f64 (log1p.f64 (-.f64 (log.f64 z) z)) (log.f64 y)))) 3)
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (pow.f64 (-.f64 (+.f64 1 (log.f64 z)) z) 2)) (.f64 2 (log.f64 y))))) 3)
(pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 (pow.f64 (+.f64 1 (-.f64 (log.f64 z) z)) 2)) (*.f64 2 (log.f64 y)))) 3)
(pow.f64 (pow.f64 (exp.f64 1/9) (*.f64 2 (+.f64 (log1p.f64 (-.f64 (log.f64 z) z)) (log.f64 y)))) 3)
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (pow.f64 (-.f64 (+.f64 1 (log.f64 z)) z) 2)) (.f64 2 (log.f64 y))))) 3)
(pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 (pow.f64 (+.f64 1 (-.f64 (log.f64 z) z)) 2)) (*.f64 2 (log.f64 y)))) 3)
(pow.f64 (pow.f64 (exp.f64 1/9) (*.f64 2 (+.f64 (log1p.f64 (-.f64 (log.f64 z) z)) (log.f64 y)))) 3)
(pow.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 (pow.f64 (-.f64 (+.f64 1 (log.f64 z)) z) 2)) (.f64 2 (log.f64 (/.f64 1 y)))))) 3)
(pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 (pow.f64 (+.f64 1 (-.f64 (log.f64 z) z)) 2)) (*.f64 2 (log.f64 y)))) 3)
(pow.f64 (pow.f64 (exp.f64 1/9) (*.f64 2 (+.f64 (log1p.f64 (-.f64 (log.f64 z) z)) (log.f64 y)))) 3)
(pow.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 (pow.f64 (-.f64 (+.f64 1 (log.f64 z)) z) 2)) (.f64 2 (log.f64 (/.f64 1 y)))))) 3)
(pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 (pow.f64 (+.f64 1 (-.f64 (log.f64 z) z)) 2)) (*.f64 2 (log.f64 y)))) 3)
(pow.f64 (pow.f64 (exp.f64 1/9) (*.f64 2 (+.f64 (log1p.f64 (-.f64 (log.f64 z) z)) (log.f64 y)))) 3)
(pow.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 (pow.f64 (-.f64 (+.f64 1 (log.f64 z)) z) 2)) (.f64 2 (log.f64 (/.f64 1 y)))))) 3)
(pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 (pow.f64 (+.f64 1 (-.f64 (log.f64 z) z)) 2)) (*.f64 2 (log.f64 y)))) 3)
(pow.f64 (pow.f64 (exp.f64 1/9) (*.f64 2 (+.f64 (log1p.f64 (-.f64 (log.f64 z) z)) (log.f64 y)))) 3)
(pow.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 (pow.f64 (-.f64 (+.f64 1 (log.f64 z)) z) 2)) (.f64 2 (log.f64 (/.f64 1 y)))))) 3)
(pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 (pow.f64 (+.f64 1 (-.f64 (log.f64 z) z)) 2)) (*.f64 2 (log.f64 y)))) 3)
(pow.f64 (pow.f64 (exp.f64 1/9) (*.f64 2 (+.f64 (log1p.f64 (-.f64 (log.f64 z) z)) (log.f64 y)))) 3)
(pow.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 (pow.f64 (-.f64 z (+.f64 1 (log.f64 z))) 2)) (.f64 2 (log.f64 (/.f64 -1 y)))))) 3)
(pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (.f64 2 (log.f64 (-.f64 (-.f64 z 1) (log.f64 z)))) (.f64 -2 (log.f64 (/.f64 -1 y))))) 3)
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(pow.f64 (pow.f64 (+.f64 (*.f64 (log.f64 z) y) y) 2) 1/3)
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prune286.0ms (8.2%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	175	0	175
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	175	8	183

Error

0.0b

Counts

183 → 8

Alt Table

Status	Error	Program
✓	0.1b	(fma.f64 x 1/2 (fma.f64 y (-.f64 (log.f64 z) z) y))
	16.6b	(fma.f64 x 1/2 (/.f64 (-.f64 (.f64 (.f64 (-.f64 (log.f64 z) z) y) (.f64 (-.f64 (log.f64 z) z) y)) (.f64 y y)) (-.f64 (*.f64 (-.f64 (log.f64 z) z) y) y)))
✓	0.6b	(fma.f64 x 1/2 (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 (log.f64 z) z) y)) 3))
	33.7b	(fma.f64 x 1/2 (/.f64 (+.f64 (pow.f64 (.f64 y (-.f64 (log.f64 z) z)) 3) (pow.f64 y 3)) (fma.f64 (.f64 y (-.f64 (log.f64 z) z)) (.f64 y (-.f64 (log.f64 z) z)) (-.f64 (.f64 y y) (.f64 (.f64 y (-.f64 (log.f64 z) z)) y)))))
	14.9b	(fma.f64 x 1/2 (+.f64 (*.f64 (log.f64 z) y) y))
✓	0.8b	(fma.f64 x 1/2 (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 (log.f64 z) z) y)) 2)) 3) (cbrt.f64 (fma.f64 y (-.f64 (log.f64 z) z) y))))
✓	0.6b	(fma.f64 x 1/2 (fma.f64 y (*.f64 (cbrt.f64 (-.f64 (log.f64 z) z)) (pow.f64 (cbrt.f64 (-.f64 (log.f64 z) z)) 2)) y))
	25.6b	(fma.f64 x 1/2 (fma.f64 y (+.f64 (log.f64 (*.f64 (cbrt.f64 (/.f64 z (exp.f64 z))) (cbrt.f64 (/.f64 z (exp.f64 z))))) (log.f64 (cbrt.f64 (/.f64 z (exp.f64 z))))) y))

Compiler

Compiled 12526 to 7234 computations (42.2% saved)

regimes327.0ms (9.4%)

Accuracy

Total 0.1b remaining (62%)

Threshold costs 0.1b (62%)

Counts

53 → 1

Compiler

Compiled 987 to 385 computations (61% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	14
1	11	14
2	16	14
3	18	14
4	19	14

Stop Event

1×

saturated

Calls

Call 1

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

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

end119.0ms (3.4%)

Stop Event

1×

fuel

Compiler

Compiled 221 to 114 computations (48.4% saved)

Details

analyze356.0ms (10.2%)

sample1.0s (30%)

preprocess39.0ms (1.1%)

simplify40.0ms (1.2%)

prune3.0ms (0.1%)

localize7.0ms (0.2%)

series51.0ms (1.5%)

rewrite57.0ms (1.6%)

simplify50.0ms (1.4%)

prune188.0ms (5.4%)

localize10.0ms (0.3%)

series9.0ms (0.3%)

rewrite51.0ms (1.5%)

simplify38.0ms (1.1%)

prune156.0ms (4.5%)

localize11.0ms (0.3%)

series34.0ms (1%)

rewrite42.0ms (1.2%)

simplify56.0ms (1.6%)

prune227.0ms (6.5%)

localize14.0ms (0.4%)

series114.0ms (3.3%)

rewrite52.0ms (1.5%)

simplify91.0ms (2.6%)

prune286.0ms (8.2%)

regimes327.0ms (9.4%)

simplify2.0ms (0.1%)

end119.0ms (3.4%)

Profiling