Details

analyze379.0ms (9.1%)

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)

sample1.1s (26.4%)

Results

1.0s	8256×	body	128	valid
50.0ms	410×	body	128	invalid

Compiler

Compiled 32 to 24 computations (25% saved)

preprocess75.0ms (1.8%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	64
1	82	64
2	209	64
3	491	64
4	1161	56
5	2534	56
6	4299	56
0	3	3

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

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

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

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify40.0ms (1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

prune3.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.1b

Counts

3 → 1

Alt Table

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

Compiler

Compiled 55 to 37 computations (32.7% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

series102.0ms (2.5%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
50.0ms	z	@	-inf	(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))
34.0ms	y	@	0	(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))
9.0ms	z	@	0	(*.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)))

rewrite69.0ms (1.7%)

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

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

simplify45.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

607×	`fma-def_binary64`
462×	`fma-neg_binary64`
335×	`associate--r+_binary64`
230×	`associate--r-_binary64`
228×	`sub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	40	871
1	115	871
2	294	867
3	870	765
4	2381	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 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))))))))
(+.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))))))

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

prune239.0ms (5.8%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	186	6	192
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	187	6	193

Error

Counts

193 → 6

Alt Table

Status	Error	Program
▶	0.1b	(+.f64 (.f64 x 1/2) (+.f64 (.f64 -1 (.f64 y z)) (.f64 (+.f64 1 (log.f64 z)) y)))
	18.6b	(+.f64 (.f64 x 1/2) (/.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))))
	0.1b	(fma.f64 1 (.f64 y (-.f64 1 z)) (fma.f64 y (log.f64 z) (.f64 x 1/2)))
	43.9b	(/.f64 1 (/.f64 (fma.f64 (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) (-.f64 (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) (.f64 x 1/2)) (.f64 (.f64 x x) 1/4)) (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) 3))))
	32.7b	(fma.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) (+.f64 (-.f64 1 z) (log.f64 z))) (.f64 x 1/2))
	0.8b	(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))

Compiler

Compiled 3937 to 2370 computations (39.8% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1 (log.f64 z))
✓	0.0b	(+.f64 (.f64 x 1/2) (+.f64 (.f64 -1 (.f64 y z)) (.f64 (+.f64 1 (log.f64 z)) y)))
✓	0.0b	(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (+.f64 1 (log.f64 z)) y))
✓	0.3b	(*.f64 (+.f64 1 (log.f64 z)) y)

series36.0ms (0.9%)

Counts

4 → 73

Calls

24 calls:

Time	Variable		Point	Expression
13.0ms	z	@	-inf	(*.f64 (+.f64 1 (log.f64 z)) y)
9.0ms	z	@	0	(*.f64 (+.f64 1 (log.f64 z)) y)
5.0ms	z	@	inf	(*.f64 (+.f64 1 (log.f64 z)) y)
1.0ms	y	@	0	(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (+.f64 1 (log.f64 z)) y))
1.0ms	y	@	inf	(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (+.f64 1 (log.f64 z)) y))

rewrite85.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

263×	`expm1-udef_binary64`
263×	`log1p-udef_binary64`
162×	`add-sqr-sqrt_binary64`
157×	`*-un-lft-identity_binary64`
157×	`pow1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	51
1	320	45
2	4429	45

Stop Event

1×	node limit

Counts

4 → 133

Calls

Call 1

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

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

simplify44.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

741×	`fma-def_binary64`
540×	`fma-neg_binary64`
282×	`associate--r+_binary64`
223×	`associate-+l-_binary64`
215×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	41	1059
1	129	862
2	340	842
3	990	746
4	2609	746

Stop Event

1×	node limit

Counts

206 → 157

Calls

Call 1

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

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

prune155.0ms (3.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	155	2	157
Fresh	2	3	5
Picked	0	1	1
Done	0	0	0
Total	157	6	163

Error

Counts

163 → 6

Alt Table

Status	Error	Program
	42.1b	(+.f64 (.f64 x 1/2) (/.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 z y) 2) (.f64 (+.f64 y (.f64 (log.f64 z) y)) (fma.f64 (+.f64 1 (log.f64 z)) y (.f64 z y)))) (+.f64 (pow.f64 (.f64 z y) 3) (pow.f64 (+.f64 y (*.f64 (log.f64 z) y)) 3)))))
	0.2b	(+.f64 (.f64 x 1/2) (+.f64 (.f64 -1 (.f64 y z)) (/.f64 (.f64 (+.f64 1 (pow.f64 (log.f64 z) 3)) y) (-.f64 (+.f64 1 (pow.f64 (log.f64 z) 2)) (log.f64 z)))))
✓	0.1b	(+.f64 (.f64 x 1/2) (+.f64 (.f64 -1 (.f64 y z)) (.f64 (+.f64 1 (log.f64 z)) y)))
	18.6b	(+.f64 (.f64 x 1/2) (/.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))))
▶	0.1b	(fma.f64 1 (.f64 y (-.f64 1 z)) (fma.f64 y (log.f64 z) (.f64 x 1/2)))
	0.8b	(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))

Compiler

Compiled 3705 to 1954 computations (47.3% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

series9.0ms (0.2%)

Counts

2 → 72

Calls

18 calls:

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

rewrite46.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

441×	`prod-diff_binary64`
211×	`expm1-udef_binary64`
210×	`log1p-udef_binary64`
199×	`fma-def_binary64`
176×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	29
1	240	27
2	2846	27

Stop Event

1×	node limit

Counts

2 → 56

Calls

Call 1

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

simplify43.0ms (1%)

Algorithm

1×	egg-herbie

Rules

723×	`fma-def_binary64`
262×	`distribute-rgt-in_binary64`
236×	`sub-neg_binary64`
232×	`unsub-neg_binary64`
205×	`associate--l+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	51	833
1	153	833
2	421	833
3	1174	773
4	3021	773

Stop Event

1×	node limit

Counts

128 → 77

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

prune76.0ms (1.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

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

Error

Counts

83 → 6

Alt Table

Status	Error	Program
	42.1b	(+.f64 (.f64 x 1/2) (/.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 z y) 2) (.f64 (+.f64 y (.f64 (log.f64 z) y)) (fma.f64 (+.f64 1 (log.f64 z)) y (.f64 z y)))) (+.f64 (pow.f64 (.f64 z y) 3) (pow.f64 (+.f64 y (*.f64 (log.f64 z) y)) 3)))))
▶	0.2b	(+.f64 (.f64 x 1/2) (+.f64 (.f64 -1 (.f64 y z)) (/.f64 (.f64 (+.f64 1 (pow.f64 (log.f64 z) 3)) y) (-.f64 (+.f64 1 (pow.f64 (log.f64 z) 2)) (log.f64 z)))))
✓	0.1b	(+.f64 (.f64 x 1/2) (+.f64 (.f64 -1 (.f64 y z)) (.f64 (+.f64 1 (log.f64 z)) y)))
	18.6b	(+.f64 (.f64 x 1/2) (/.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))))
✓	0.1b	(fma.f64 1 (.f64 y (-.f64 1 z)) (fma.f64 y (log.f64 z) (.f64 x 1/2)))
	0.8b	(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))

Compiler

Compiled 1642 to 1003 computations (38.9% saved)

localize16.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (+.f64 1 (pow.f64 (log.f64 z) 3)) y)
✓	0.3b	(/.f64 (*.f64 (+.f64 1 (pow.f64 (log.f64 z) 3)) y) (-.f64 (+.f64 1 (pow.f64 (log.f64 z) 2)) (log.f64 z)))
✓	0.5b	(pow.f64 (log.f64 z) 2)
✓	0.7b	(pow.f64 (log.f64 z) 3)

series33.0ms (0.8%)

Counts

4 → 48

Calls

18 calls:

Time	Variable		Point	Expression
21.0ms	z	@	0	(/.f64 (*.f64 (+.f64 1 (pow.f64 (log.f64 z) 3)) y) (-.f64 (+.f64 1 (pow.f64 (log.f64 z) 2)) (log.f64 z)))
2.0ms	y	@	0	(/.f64 (*.f64 (+.f64 1 (pow.f64 (log.f64 z) 3)) y) (-.f64 (+.f64 1 (pow.f64 (log.f64 z) 2)) (log.f64 z)))
1.0ms	z	@	-inf	(/.f64 (*.f64 (+.f64 1 (pow.f64 (log.f64 z) 3)) y) (-.f64 (+.f64 1 (pow.f64 (log.f64 z) 2)) (log.f64 z)))
1.0ms	z	@	inf	(/.f64 (*.f64 (+.f64 1 (pow.f64 (log.f64 z) 3)) y) (-.f64 (+.f64 1 (pow.f64 (log.f64 z) 2)) (log.f64 z)))
1.0ms	y	@	inf	(/.f64 (*.f64 (+.f64 1 (pow.f64 (log.f64 z) 3)) y) (-.f64 (+.f64 1 (pow.f64 (log.f64 z) 2)) (log.f64 z)))

rewrite70.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

951×	`prod-diff_binary64`
154×	`add-sqr-sqrt_binary64`
150×	`pow1_binary64`
148×	`*-un-lft-identity_binary64`
146×	`add-log-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	52
1	317	52
2	4303	52

Stop Event

1×	node limit

Counts

4 → 107

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (pow.f64 (log.f64 z) 3) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log.f64 z) (pow.f64 (log.f64 z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (log.f64 z) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (log.f64 z) 2) (log.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (log.f64 z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (log.f64 z)) 2) (.f64 (cbrt.f64 (log.f64 z)) (pow.f64 (log.f64 z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (log.f64 z) 4)) (.f64 (pow.f64 (cbrt.f64 (log.f64 z)) 2) (log.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (log.f64 z)) (.f64 (sqrt.f64 (log.f64 z)) (pow.f64 (log.f64 z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (log.f64 z) 3/2) (pow.f64 (log.f64 z) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (log.f64 z)) 3) (pow.f64 (sqrt.f64 (log.f64 z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (log.f64 z) (cbrt.f64 (pow.f64 (log.f64 z) 4))) (pow.f64 (cbrt.f64 (log.f64 z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (log.f64 z) 2) (pow.f64 (cbrt.f64 (log.f64 z)) 2)) (cbrt.f64 (log.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (log.f64 z) 2) (sqrt.f64 (log.f64 z))) (sqrt.f64 (log.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 z) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (log.f64 z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 z) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 z) 9))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (log.f64 z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 z) 3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (log.f64 z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (log.f64 z) 3)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (pow.f64 (log.f64 z) 2) 1) 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 1 (pow.f64 (log.f64 z) 2))))) (#(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 (pow.f64 (cbrt.f64 (log.f64 z)) 2) (.f64 (cbrt.f64 (log.f64 z)) (log.f64 z)))))) (#(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)) (pow.f64 (log.f64 z) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (log.f64 z) 3/2) (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 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 (log.f64 z) 6))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (log.f64 z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (log.f64 z) 2)) 1))))) (#(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 (.f64 (/.f64 (+.f64 (pow.f64 (log.f64 z) 3) 1) (+.f64 (pow.f64 (log.f64 z) 2) (-.f64 1 (log.f64 z)))) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (/.f64 (+.f64 (pow.f64 (log.f64 z) 3) 1) (+.f64 (pow.f64 (log.f64 z) 2) (-.f64 1 (log.f64 z)))) y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 (log.f64 z) 3) 1) (/.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 z) 2) (-.f64 1 (log.f64 z))) y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 (log.f64 z) 3) 1) (.f64 y (/.f64 1 (+.f64 (pow.f64 (log.f64 z) 2) (-.f64 1 (log.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 y (.f64 (+.f64 (pow.f64 (log.f64 z) 3) 1) (/.f64 1 (+.f64 (pow.f64 (log.f64 z) 2) (-.f64 1 (log.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 y (.f64 (pow.f64 (log.f64 z) 3) y)) (/.f64 1 (+.f64 (pow.f64 (log.f64 z) 2) (-.f64 1 (log.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 (+.f64 (pow.f64 (log.f64 z) 3) 1) (+.f64 (pow.f64 (log.f64 z) 2) (-.f64 1 (log.f64 z)))) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (/.f64 (+.f64 (pow.f64 (log.f64 z) 3) 1) (+.f64 (pow.f64 (log.f64 z) 2) (-.f64 1 (log.f64 z)))) y)) (pow.f64 (cbrt.f64 (.f64 (/.f64 (+.f64 (pow.f64 (log.f64 z) 3) 1) (+.f64 (pow.f64 (log.f64 z) 2) (-.f64 1 (log.f64 z)))) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 (+.f64 (pow.f64 (log.f64 z) 3) 1) (+.f64 (pow.f64 (log.f64 z) 2) (-.f64 1 (log.f64 z)))) y)) 2) (cbrt.f64 (.f64 (/.f64 (+.f64 (pow.f64 (log.f64 z) 3) 1) (+.f64 (pow.f64 (log.f64 z) 2) (-.f64 1 (log.f64 z)))) y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (+.f64 y (.f64 (pow.f64 (log.f64 z) 3) y))) 2) (.f64 (cbrt.f64 (+.f64 y (.f64 (pow.f64 (log.f64 z) 3) y))) (/.f64 1 (+.f64 (pow.f64 (log.f64 z) 2) (-.f64 1 (log.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (/.f64 (+.f64 (pow.f64 (log.f64 z) 3) 1) (+.f64 (pow.f64 (log.f64 z) 2) (-.f64 1 (log.f64 z)))) y)) (sqrt.f64 (.f64 (/.f64 (+.f64 (pow.f64 (log.f64 z) 3) 1) (+.f64 (pow.f64 (log.f64 z) 2) (-.f64 1 (log.f64 z)))) y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (hypot.f64 1 (pow.f64 (log.f64 z) 3/2)) (sqrt.f64 y)) (.f64 (.f64 (hypot.f64 1 (pow.f64 (log.f64 z) 3/2)) (sqrt.f64 y)) (/.f64 1 (+.f64 (pow.f64 (log.f64 z) 2) (-.f64 1 (log.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (pow.f64 (log.f64 z) 3) 1) (neg.f64 y)) (/.f64 1 (+.f64 -1 (neg.f64 (-.f64 (pow.f64 (log.f64 z) 2) (log.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 (pow.f64 (log.f64 z) 2) (-.f64 1 (log.f64 z)))) (+.f64 y (.f64 (pow.f64 (log.f64 z) 3) y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (pow.f64 (log.f64 z) 3) 1) 1) (/.f64 y (+.f64 (pow.f64 (log.f64 z) 2) (-.f64 1 (log.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 y 1) (/.f64 (+.f64 (pow.f64 (log.f64 z) 3) 1) (+.f64 (pow.f64 (log.f64 z) 2) (-.f64 1 (log.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (pow.f64 (log.f64 z) 3) 1) (+.f64 (pow.f64 (log.f64 z) 2) (-.f64 1 (log.f64 z)))) y)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 y (.f64 (pow.f64 (log.f64 z) 3) y))) 2) 1) (/.f64 (cbrt.f64 (+.f64 y (.f64 (pow.f64 (log.f64 z) 3) y))) (+.f64 (pow.f64 (log.f64 z) 2) (-.f64 1 (log.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 (hypot.f64 1 (pow.f64 (log.f64 z) 3/2)) (sqrt.f64 y)) 1) (/.f64 (.f64 (hypot.f64 1 (pow.f64 (log.f64 z) 3/2)) (sqrt.f64 y)) (+.f64 (pow.f64 (log.f64 z) 2) (-.f64 1 (log.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (log.f64 z) 2) (-.f64 1 (log.f64 z)))) 2)) (/.f64 (+.f64 y (.f64 (pow.f64 (log.f64 z) 3) y)) (cbrt.f64 (+.f64 (pow.f64 (log.f64 z) 2) (-.f64 1 (log.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (pow.f64 (log.f64 z) 3) 1) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (log.f64 z) 2) (-.f64 1 (log.f64 z)))) 2)) (/.f64 y (cbrt.f64 (+.f64 (pow.f64 (log.f64 z) 2) (-.f64 1 (log.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 y (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (log.f64 z) 2) (-.f64 1 (log.f64 z)))) 2)) (/.f64 (+.f64 (pow.f64 (log.f64 z) 3) 1) (cbrt.f64 (+.f64 (pow.f64 (log.f64 z) 2) (-.f64 1 (log.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 y (.f64 (pow.f64 (log.f64 z) 3) y))) 2) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (log.f64 z) 2) (-.f64 1 (log.f64 z)))) 2)) (cbrt.f64 (.f64 (/.f64 (+.f64 (pow.f64 (log.f64 z) 3) 1) (+.f64 (pow.f64 (log.f64 z) 2) (-.f64 1 (log.f64 z)))) y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 (hypot.f64 1 (pow.f64 (log.f64 z) 3/2)) (sqrt.f64 y)) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (log.f64 z) 2) (-.f64 1 (log.f64 z)))) 2)) (/.f64 (.f64 (hypot.f64 1 (pow.f64 (log.f64 z) 3/2)) (sqrt.f64 y)) (cbrt.f64 (+.f64 (pow.f64 (log.f64 z) 2) (-.f64 1 (log.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 (+.f64 (pow.f64 (log.f64 z) 2) (-.f64 1 (log.f64 z))))) (/.f64 (+.f64 y (.f64 (pow.f64 (log.f64 z) 3) y)) (sqrt.f64 (+.f64 (pow.f64 (log.f64 z) 2) (-.f64 1 (log.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (pow.f64 (log.f64 z) 3) 1) (sqrt.f64 (+.f64 (pow.f64 (log.f64 z) 2) (-.f64 1 (log.f64 z))))) (/.f64 y (sqrt.f64 (+.f64 (pow.f64 (log.f64 z) 2) (-.f64 1 (log.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 y (sqrt.f64 (+.f64 (pow.f64 (log.f64 z) 2) (-.f64 1 (log.f64 z))))) (/.f64 (+.f64 (pow.f64 (log.f64 z) 3) 1) (sqrt.f64 (+.f64 (pow.f64 (log.f64 z) 2) (-.f64 1 (log.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 y (.f64 (pow.f64 (log.f64 z) 3) y))) 2) (sqrt.f64 (+.f64 (pow.f64 (log.f64 z) 2) (-.f64 1 (log.f64 z))))) (/.f64 (cbrt.f64 (+.f64 y (.f64 (pow.f64 (log.f64 z) 3) y))) (sqrt.f64 (+.f64 (pow.f64 (log.f64 z) 2) (-.f64 1 (log.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 y (.f64 (pow.f64 (log.f64 z) 3) y)) (-.f64 (pow.f64 (+.f64 (pow.f64 (log.f64 z) 2) 1) 3) (pow.f64 (log.f64 z) 3))) (+.f64 (pow.f64 (+.f64 (pow.f64 (log.f64 z) 2) 1) 2) (.f64 (log.f64 z) (+.f64 (pow.f64 (log.f64 z) 2) (+.f64 1 (log.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 y (.f64 (pow.f64 (log.f64 z) 3) y)) (-.f64 (pow.f64 (+.f64 (pow.f64 (log.f64 z) 2) 1) 2) (pow.f64 (log.f64 z) 2))) (+.f64 (pow.f64 (log.f64 z) 2) (+.f64 1 (log.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (/.f64 (+.f64 (pow.f64 (log.f64 z) 3) 1) (+.f64 (pow.f64 (log.f64 z) 2) (-.f64 1 (log.f64 z)))) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (/.f64 (+.f64 (pow.f64 (log.f64 z) 3) 1) (+.f64 (pow.f64 (log.f64 z) 2) (-.f64 1 (log.f64 z)))) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (/.f64 (+.f64 (pow.f64 (log.f64 z) 3) 1) (+.f64 (pow.f64 (log.f64 z) 2) (-.f64 1 (log.f64 z)))) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (/.f64 (+.f64 (pow.f64 (log.f64 z) 3) 1) (+.f64 (pow.f64 (log.f64 z) 2) (-.f64 1 (log.f64 z)))) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (pow.f64 (log.f64 z) 2) (-.f64 1 (log.f64 z))) (+.f64 y (.f64 (pow.f64 (log.f64 z) 3) y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 y (.f64 (pow.f64 (log.f64 z) 3) y)) (+.f64 -1 (neg.f64 (-.f64 (pow.f64 (log.f64 z) 2) (log.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (/.f64 (+.f64 (pow.f64 (log.f64 z) 3) 1) (+.f64 (pow.f64 (log.f64 z) 2) (-.f64 1 (log.f64 z)))) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (.f64 (/.f64 (+.f64 (pow.f64 (log.f64 z) 3) 1) (+.f64 (pow.f64 (log.f64 z) 2) (-.f64 1 (log.f64 z)))) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (/.f64 (+.f64 (pow.f64 (log.f64 z) 3) 1) (+.f64 (pow.f64 (log.f64 z) 2) (-.f64 1 (log.f64 z)))) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (/.f64 (+.f64 (pow.f64 (log.f64 z) 3) 1) (+.f64 (pow.f64 (log.f64 z) 2) (-.f64 1 (log.f64 z)))) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 y (.f64 (pow.f64 (log.f64 z) 3) y)) 3) (pow.f64 (+.f64 (pow.f64 (log.f64 z) 2) (-.f64 1 (log.f64 z))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (+.f64 (log1p.f64 (pow.f64 (log.f64 z) 3)) (log.f64 y)) (log1p.f64 (-.f64 (pow.f64 (log.f64 z) 2) (log.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (-.f64 (+.f64 (log1p.f64 (pow.f64 (log.f64 z) 3)) (log.f64 y)) (log1p.f64 (-.f64 (pow.f64 (log.f64 z) 2) (log.f64 z)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (/.f64 (+.f64 (pow.f64 (log.f64 z) 3) 1) (+.f64 (pow.f64 (log.f64 z) 2) (-.f64 1 (log.f64 z)))) y)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (/.f64 (+.f64 (pow.f64 (log.f64 z) 3) 1) (+.f64 (pow.f64 (log.f64 z) 2) (-.f64 1 (log.f64 z)))) y)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 y (.f64 (pow.f64 (log.f64 z) 3) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 y (.f64 y (pow.f64 (log.f64 z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (pow.f64 (log.f64 z) 3) y) y)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 y (pow.f64 (log.f64 z) 3)) y)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 y (.f64 (pow.f64 (log.f64 z) 3) y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 1 (pow.f64 (log.f64 z) 9)) y) (+.f64 1 (-.f64 (pow.f64 (log.f64 z) 6) (pow.f64 (log.f64 z) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 (pow.f64 (log.f64 z) 6)) y) (-.f64 1 (pow.f64 (log.f64 z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 y (+.f64 1 (pow.f64 (log.f64 z) 9))) (+.f64 1 (-.f64 (pow.f64 (log.f64 z) 6) (pow.f64 (log.f64 z) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 y (-.f64 1 (pow.f64 (log.f64 z) 6))) (-.f64 1 (pow.f64 (log.f64 z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 y (.f64 (pow.f64 (log.f64 z) 3) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 y (.f64 (pow.f64 (log.f64 z) 3) y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 y (.f64 (pow.f64 (log.f64 z) 3) y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (hypot.f64 1 (pow.f64 (log.f64 z) 3/2)) (sqrt.f64 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 y (.f64 (pow.f64 (log.f64 z) 3) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 (pow.f64 (log.f64 z) 3) 1)) y))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 y (.f64 (pow.f64 (log.f64 z) 3) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 y (.f64 (pow.f64 (log.f64 z) 3) y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (+.f64 (pow.f64 (log.f64 z) 3) 1) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 y 3) (pow.f64 (+.f64 (pow.f64 (log.f64 z) 3) 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log1p.f64 (pow.f64 (log.f64 z) 3)) (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (+.f64 (log1p.f64 (pow.f64 (log.f64 z) 3)) (log.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 y (.f64 (pow.f64 (log.f64 z) 3) y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 y (*.f64 (pow.f64 (log.f64 z) 3) y))))))))

simplify39.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

470×	`fma-def_binary64`
296×	`distribute-rgt-in_binary64`
284×	`distribute-lft-in_binary64`
218×	`associate-+l+_binary64`
180×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	40	944
1	126	864
2	347	800
3	1383	752

Stop Event

1×	node limit

Counts

155 → 121

Calls

Call 1

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

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

prune154.0ms (3.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	119	2	121
Fresh	2	1	3
Picked	1	0	1
Done	0	2	2
Total	122	5	127

Error

Counts

127 → 5

Alt Table

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

Compiler

Compiled 4207 to 2643 computations (37.2% saved)

regimes1.2s (27.9%)

Accuracy

Total 0.1b remaining (71.4%)

Threshold costs 0.1b (71.4%)

Counts

184 → 1

Compiler

Compiled 3208 to 1778 computations (44.6% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

5×	`+-commutative_binary64`
5×	`*-commutative_binary64`
3×	`sub-neg_binary64`
3×	`neg-sub0_binary64`
2×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	21
1	19	19
2	28	19
3	33	19
4	38	19
5	40	19

Stop Event

1×

saturated

Calls

Call 1

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

Outputs

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

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

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

end104.0ms (2.5%)

Stop Event

1×

fuel

Compiler

Compiled 155 to 107 computations (31% saved)

Details

analyze379.0ms (9.1%)

sample1.1s (26.4%)

preprocess75.0ms (1.8%)

simplify40.0ms (1%)

prune3.0ms (0.1%)

localize8.0ms (0.2%)

series102.0ms (2.5%)

rewrite69.0ms (1.7%)

simplify45.0ms (1.1%)

prune239.0ms (5.8%)

localize11.0ms (0.3%)

series36.0ms (0.9%)

rewrite85.0ms (2.1%)

simplify44.0ms (1.1%)

prune155.0ms (3.8%)

localize9.0ms (0.2%)

series9.0ms (0.2%)

rewrite46.0ms (1.1%)

simplify43.0ms (1%)

prune76.0ms (1.8%)

localize16.0ms (0.4%)

series33.0ms (0.8%)

rewrite70.0ms (1.7%)

simplify39.0ms (0.9%)

prune154.0ms (3.7%)

regimes1.2s (27.9%)

simplify2.0ms (0.1%)

end104.0ms (2.5%)

Profiling