Details

analyze423.0ms (12.6%)

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)

sample1.2s (35.3%)

Results

1.1s	8256×	body	128	valid
64.0ms	441×	body	128	invalid

preprocess41.0ms (1.2%)

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)

simplify37.0ms (1.1%)

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))

eval1.0ms (0%)

Compiler: Compiled 25 to 15 computations (40% saved)

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.1b

Counts

3 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 30 to 22 computations (26.7% saved)

localize8.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

series50.0ms (1.5%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
30.0ms	y	@	0	(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))
8.0ms	z	@	0	(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))
2.0ms	z	@	-inf	(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))
2.0ms	x	@	0	(+.f64 (.f64 x 1/2) (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))
1.0ms	z	@	inf	(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))

rewrite74.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 168

Calls

Call 1

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

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

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

simplify41.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

617×	`fma-def_binary64`
462×	`fma-neg_binary64`
323×	`associate--r+_binary64`
230×	`sub-neg_binary64`
227×	`associate--r-_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	40	871
1	115	871
2	295	867
3	871	765
4	2396	765

Stop Event

1×	node limit

Counts

240 → 192

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

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

eval65.0ms (1.9%)

Compiler: Compiled 3617 to 2146 computations (40.7% saved)

prune445.0ms (13.2%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	187	5	192
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	188	5	193

Error

0.0b

Counts

193 → 5

Alt Table

Click to see full alt table

Status	Error	Program
	11.4b	(+.f64 (.f64 x 1/2) (.f64 y (fma.f64 (cbrt.f64 (pow.f64 (-.f64 1 z) 2)) (cbrt.f64 (-.f64 1 z)) (log.f64 z))))
	34.1b	(+.f64 (.f64 x 1/2) (fma.f64 (sqrt.f64 (.f64 y (log.f64 z))) (sqrt.f64 (.f64 y (log.f64 z))) (.f64 y (-.f64 1 z))))
▶	0.1b	(fma.f64 (-.f64 1 z) y (fma.f64 y (log.f64 z) (*.f64 x 1/2)))
	0.3b	(+.f64 (.f64 x 1/2) (fma.f64 (.f64 y (cbrt.f64 (pow.f64 (log.f64 z) 2))) (cbrt.f64 (log.f64 z)) (*.f64 y (-.f64 1 z))))
	0.3b	(+.f64 (.f64 x 1/2) (fma.f64 (cbrt.f64 (pow.f64 (log.f64 z) 2)) (.f64 (cbrt.f64 (log.f64 z)) y) (*.f64 y (-.f64 1 z))))

Compiler

Compiled 212 to 144 computations (32.1% saved)

localize8.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

series36.0ms (1.1%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
16.0ms	z	@	-inf	(fma.f64 y (log.f64 z) (*.f64 x 1/2))
8.0ms	z	@	0	(fma.f64 y (log.f64 z) (*.f64 x 1/2))
5.0ms	z	@	inf	(fma.f64 y (log.f64 z) (*.f64 x 1/2))
1.0ms	z	@	-inf	(fma.f64 (-.f64 1 z) y (fma.f64 y (log.f64 z) (*.f64 x 1/2)))
1.0ms	x	@	0	(fma.f64 (-.f64 1 z) y (fma.f64 y (log.f64 z) (*.f64 x 1/2)))

rewrite60.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

481×	`log-prod_binary64`
332×	`prod-diff_binary64`
195×	`expm1-udef_binary64`
194×	`log1p-udef_binary64`
161×	`log-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	27
1	221	27
2	2610	27

Stop Event

1×	node limit

Counts

2 → 59

Calls

Call 1

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

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

Outputs

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

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

simplify44.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

729×	`fma-def_binary64`
261×	`distribute-rgt-in_binary64`
235×	`unsub-neg_binary64`
233×	`sub-neg_binary64`
205×	`associate--l+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	51	887
1	153	860
2	421	833
3	1172	773
4	3024	773

Stop Event

1×	node limit

Counts

131 → 80

Calls

Call 1

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

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

eval25.0ms (0.7%)

Compiler: Compiled 1383 to 797 computations (42.4% saved)

prune123.0ms (3.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	80	0	80
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	80	5	85

Error

0.0b

Counts

85 → 5

Alt Table

Click to see full alt table

Status	Error	Program
	11.4b	(+.f64 (.f64 x 1/2) (.f64 y (fma.f64 (cbrt.f64 (pow.f64 (-.f64 1 z) 2)) (cbrt.f64 (-.f64 1 z)) (log.f64 z))))
	34.1b	(+.f64 (.f64 x 1/2) (fma.f64 (sqrt.f64 (.f64 y (log.f64 z))) (sqrt.f64 (.f64 y (log.f64 z))) (.f64 y (-.f64 1 z))))
✓	0.1b	(fma.f64 (-.f64 1 z) y (fma.f64 y (log.f64 z) (*.f64 x 1/2)))
	0.3b	(+.f64 (.f64 x 1/2) (fma.f64 (.f64 y (cbrt.f64 (pow.f64 (log.f64 z) 2))) (cbrt.f64 (log.f64 z)) (*.f64 y (-.f64 1 z))))
▶	0.3b	(+.f64 (.f64 x 1/2) (fma.f64 (cbrt.f64 (pow.f64 (log.f64 z) 2)) (.f64 (cbrt.f64 (log.f64 z)) y) (*.f64 y (-.f64 1 z))))

Compiler

Compiled 197 to 134 computations (32% saved)

localize14.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

series17.0ms (0.5%)

Counts

4 → 56

Calls

15 calls:

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

rewrite45.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	27
1	174	27
2	1851	27

Stop Event

1×	node limit

Counts

4 → 78

Calls

Call 1

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

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

simplify52.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

405×	`fma-def_binary64`
382×	`unswap-sqr_binary64`
314×	`unsub-neg_binary64`
278×	`fma-neg_binary64`
237×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	468
1	75	452
2	138	452
3	353	452
4	1339	452
5	3392	452

Stop Event

1×	node limit

Counts

134 → 93

Calls

Call 1

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

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

eval36.0ms (1.1%)

Compiler: Compiled 2223 to 1229 computations (44.7% saved)

prune192.0ms (5.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	92	1	93
Fresh	1	2	3
Picked	1	0	1
Done	0	1	1
Total	94	4	98

Error

0.0b

Counts

98 → 4

Alt Table

Click to see full alt table

Status	Error	Program
	11.4b	(+.f64 (.f64 x 1/2) (.f64 y (fma.f64 (cbrt.f64 (pow.f64 (-.f64 1 z) 2)) (cbrt.f64 (-.f64 1 z)) (log.f64 z))))
▶	0.2b	(+.f64 (.f64 x 1/2) (fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (log.f64 z) 4))) (.f64 (cbrt.f64 (log.f64 z)) y) (*.f64 y (-.f64 1 z))))
✓	0.1b	(fma.f64 (-.f64 1 z) y (fma.f64 y (log.f64 z) (*.f64 x 1/2)))
	0.3b	(+.f64 (.f64 x 1/2) (fma.f64 (.f64 y (cbrt.f64 (pow.f64 (log.f64 z) 2))) (cbrt.f64 (log.f64 z)) (*.f64 y (-.f64 1 z))))

Compiler

Compiled 153 to 110 computations (28.1% saved)

localize16.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(*.f64 (cbrt.f64 (log.f64 z)) y)
✓	0.5b	(cbrt.f64 (pow.f64 (log.f64 z) 4))
	0.5b	(cbrt.f64 (log.f64 z))
✓	0.9b	(pow.f64 (log.f64 z) 4)

series7.0ms (0.2%)

Counts

2 → 20

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	z	@	-inf	(cbrt.f64 (pow.f64 (log.f64 z) 4))
2.0ms	z	@	0	(cbrt.f64 (pow.f64 (log.f64 z) 4))
1.0ms	z	@	inf	(cbrt.f64 (pow.f64 (log.f64 z) 4))
1.0ms	z	@	0	(pow.f64 (log.f64 z) 4)
1.0ms	z	@	-inf	(pow.f64 (log.f64 z) 4)

rewrite37.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

460×	`pow1_binary64`
430×	`add-log-exp_binary64`
430×	`log1p-expm1-u_binary64`
430×	`expm1-log1p-u_binary64`
418×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	14
1	120	14
2	1279	14

Stop Event

1×	node limit

Counts

2 → 36

Calls

Call 1

Inputs
(pow.f64 (log.f64 z) 4)
(cbrt.f64 (pow.f64 (log.f64 z) 4))

Outputs

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

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

simplify29.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

628×	`unswap-sqr_binary64`
451×	`associate-l_binary64`
359×	`associate-r_binary64`
300×	`distribute-rgt-in_binary64`
262×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	160
1	48	160
2	75	144
3	157	144
4	685	144
5	3297	144

Stop Event

1×	node limit

Counts

56 → 42

Calls

Call 1

Inputs
(pow.f64 (log.f64 (/.f64 1 z)) 4)
(pow.f64 (log.f64 (/.f64 1 z)) 4)
(pow.f64 (log.f64 (/.f64 1 z)) 4)
(pow.f64 (log.f64 (/.f64 1 z)) 4)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))) 4)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))) 4)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))) 4)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))) 4)
(pow.f64 (pow.f64 (log.f64 z) 4) 1/3)
(pow.f64 (pow.f64 (log.f64 z) 4) 1/3)
(pow.f64 (pow.f64 (log.f64 z) 4) 1/3)
(pow.f64 (pow.f64 (log.f64 z) 4) 1/3)
(pow.f64 (pow.f64 (log.f64 (/.f64 1 z)) 4) 1/3)
(pow.f64 (pow.f64 (log.f64 (/.f64 1 z)) 4) 1/3)
(pow.f64 (pow.f64 (log.f64 (/.f64 1 z)) 4) 1/3)
(pow.f64 (pow.f64 (log.f64 (/.f64 1 z)) 4) 1/3)
(pow.f64 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))) 4) 1/3)
(pow.f64 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))) 4) 1/3)
(pow.f64 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))) 4) 1/3)
(pow.f64 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))) 4) 1/3)

Outputs
(pow.f64 (log.f64 (/.f64 1 z)) 4)
(pow.f64 (neg.f64 (log.f64 z)) 4)
(pow.f64 (log.f64 z) 4)
(pow.f64 (log.f64 (/.f64 1 z)) 4)
(pow.f64 (neg.f64 (log.f64 z)) 4)
(pow.f64 (log.f64 z) 4)
(pow.f64 (log.f64 (/.f64 1 z)) 4)
(pow.f64 (neg.f64 (log.f64 z)) 4)
(pow.f64 (log.f64 z) 4)
(pow.f64 (log.f64 (/.f64 1 z)) 4)
(pow.f64 (neg.f64 (log.f64 z)) 4)
(pow.f64 (log.f64 z) 4)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))) 4)
(pow.f64 (neg.f64 (log.f64 z)) 4)
(pow.f64 (log.f64 z) 4)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))) 4)
(pow.f64 (neg.f64 (log.f64 z)) 4)
(pow.f64 (log.f64 z) 4)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))) 4)
(pow.f64 (neg.f64 (log.f64 z)) 4)
(pow.f64 (log.f64 z) 4)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))) 4)
(pow.f64 (neg.f64 (log.f64 z)) 4)
(pow.f64 (log.f64 z) 4)
(pow.f64 (pow.f64 (log.f64 z) 4) 1/3)
(cbrt.f64 (pow.f64 (log.f64 z) 4))
(pow.f64 (pow.f64 (log.f64 z) 4) 1/3)
(cbrt.f64 (pow.f64 (log.f64 z) 4))
(pow.f64 (pow.f64 (log.f64 z) 4) 1/3)
(cbrt.f64 (pow.f64 (log.f64 z) 4))
(pow.f64 (pow.f64 (log.f64 z) 4) 1/3)
(cbrt.f64 (pow.f64 (log.f64 z) 4))
(pow.f64 (pow.f64 (log.f64 (/.f64 1 z)) 4) 1/3)
(cbrt.f64 (pow.f64 (log.f64 z) 4))
(pow.f64 (pow.f64 (log.f64 (/.f64 1 z)) 4) 1/3)
(cbrt.f64 (pow.f64 (log.f64 z) 4))
(pow.f64 (pow.f64 (log.f64 (/.f64 1 z)) 4) 1/3)
(cbrt.f64 (pow.f64 (log.f64 z) 4))
(pow.f64 (pow.f64 (log.f64 (/.f64 1 z)) 4) 1/3)
(cbrt.f64 (pow.f64 (log.f64 z) 4))
(pow.f64 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))) 4) 1/3)
(cbrt.f64 (pow.f64 (log.f64 z) 4))
(pow.f64 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))) 4) 1/3)
(cbrt.f64 (pow.f64 (log.f64 z) 4))
(pow.f64 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))) 4) 1/3)
(cbrt.f64 (pow.f64 (log.f64 z) 4))
(pow.f64 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))) 4) 1/3)
(cbrt.f64 (pow.f64 (log.f64 z) 4))

eval39.0ms (1.2%)

Compiler: Compiled 2170 to 1294 computations (40.4% saved)

prune145.0ms (4.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	87	0	87
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	87	4	91

Error

0.0b

Counts

91 → 4

Alt Table

Click to see full alt table

Status	Error	Program
	11.4b	(+.f64 (.f64 x 1/2) (.f64 y (fma.f64 (cbrt.f64 (pow.f64 (-.f64 1 z) 2)) (cbrt.f64 (-.f64 1 z)) (log.f64 z))))
✓	0.2b	(+.f64 (.f64 x 1/2) (fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (log.f64 z) 4))) (.f64 (cbrt.f64 (log.f64 z)) y) (*.f64 y (-.f64 1 z))))
✓	0.1b	(fma.f64 (-.f64 1 z) y (fma.f64 y (log.f64 z) (*.f64 x 1/2)))
	0.3b	(+.f64 (.f64 x 1/2) (fma.f64 (.f64 y (cbrt.f64 (pow.f64 (log.f64 z) 2))) (cbrt.f64 (log.f64 z)) (*.f64 y (-.f64 1 z))))

Compiler

Compiled 84 to 60 computations (28.6% saved)

regimes48.0ms (1.4%)

Accuracy

Total -41.1b remaining (-42097.4%)

Threshold costs -41.1b (-42097.4%)

Counts

7 → 1

Calls

Call 1

Inputs
(+.f64 (.f64 x 1/2) (fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (log.f64 z) 4))) (.f64 (cbrt.f64 (log.f64 z)) y) (*.f64 y (-.f64 1 z))))
(+.f64 (.f64 x 1/2) (.f64 y (fma.f64 (cbrt.f64 (pow.f64 (-.f64 1 z) 2)) (cbrt.f64 (-.f64 1 z)) (log.f64 z))))
(+.f64 (.f64 x 1/2) (fma.f64 (sqrt.f64 (.f64 y (log.f64 z))) (sqrt.f64 (.f64 y (log.f64 z))) (.f64 y (-.f64 1 z))))
(fma.f64 (-.f64 1 z) y (fma.f64 y (log.f64 z) (*.f64 x 1/2)))
(+.f64 (.f64 x 1/2) (fma.f64 (.f64 y (cbrt.f64 (pow.f64 (log.f64 z) 2))) (cbrt.f64 (log.f64 z)) (*.f64 y (-.f64 1 z))))
(+.f64 (.f64 x 1/2) (fma.f64 (cbrt.f64 (pow.f64 (log.f64 z) 2)) (.f64 (cbrt.f64 (log.f64 z)) y) (*.f64 y (-.f64 1 z))))
(+.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))))

Results

Time	Error	Segments	Branch
5.0ms	0.1b	1	`x`
5.0ms	0.1b	1	`y`
5.0ms	0.1b	1	`z`
8.0ms	0.1b	1	`(+.f64 (.f64 x 1/2) (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))`
5.0ms	0.1b	1	`(*.f64 x 1/2)`
6.0ms	0.1b	1	`(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))`
9.0ms	0.1b	1	`(+.f64 (-.f64 1 z) (log.f64 z))`

Compiler

Compiled 180 to 113 computations (37.2% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	18
1	20	18
2	24	18
3	26	18
4	27	18

Stop Event

1×

saturated

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))))

end17.0ms (0.5%)

Stop Event

1×

fuel

Compiler

Compiled 30 to 22 computations (26.7% saved)

Details

analyze423.0ms (12.6%)

sample1.2s (35.3%)

preprocess41.0ms (1.2%)

simplify37.0ms (1.1%)

eval1.0ms (0%)

prune2.0ms (0.1%)

localize8.0ms (0.3%)

series50.0ms (1.5%)

rewrite74.0ms (2.2%)

simplify41.0ms (1.2%)

eval65.0ms (1.9%)

prune445.0ms (13.2%)

localize8.0ms (0.3%)

series36.0ms (1.1%)

rewrite60.0ms (1.8%)

simplify44.0ms (1.3%)

eval25.0ms (0.7%)

prune123.0ms (3.7%)

localize14.0ms (0.4%)

series17.0ms (0.5%)

rewrite45.0ms (1.3%)

simplify52.0ms (1.5%)

eval36.0ms (1.1%)

prune192.0ms (5.7%)

localize16.0ms (0.5%)

series7.0ms (0.2%)

rewrite37.0ms (1.1%)

simplify29.0ms (0.9%)

eval39.0ms (1.2%)

prune145.0ms (4.3%)

regimes48.0ms (1.4%)

simplify2.0ms (0.1%)

end17.0ms (0.5%)

Profiling