Details

analyze175.0ms (1.3%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
0%	0%	99.9%	0.1%	0%	0%	0%	6
11.1%	6.2%	49.9%	0.1%	18.7%	25%	0%	7
16.7%	9.4%	46.8%	0.1%	18.7%	25%	0%	8
26.5%	14%	39%	0.1%	21.8%	25%	0%	9
38.4%	18.7%	30%	0.1%	24.6%	26.5%	0%	10
45%	21.8%	26.7%	0.1%	24.8%	26.5%	0%	11
54.3%	25.9%	21.8%	0.1%	25.5%	26.5%	0%	12

Compiler

Compiled 16 to 12 computations (25% saved)

sample1.4s (10.6%)

Results

1.3s	8256×	body	256	valid
87.0ms	648×	body	256	infinite
18.0ms	145×	body	256	invalid

Bogosity

preprocess242.0ms (1.8%)

Algorithm

2×	egg-herbie

Rules

873×	`unsub-neg_binary64`
811×	`fma-def_binary64`
531×	`sub-neg_binary64`
494×	`associate-+r+_binary64`
365×	`distribute-rgt-in_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	2524	56
6	4311	56
7	5633	56
8	6480	56
9	6575	56
10	6614	56
11	6649	56
12	6835	56
13	7120	56
14	7351	56
15	7468	56
16	7468	56
17	7938	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))
(+.f64 (fma.f64 1/2 y x) (*.f64 x (-.f64 (log.f64 z) z)))
(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))
(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))))
(fma.f64 z (+.f64 (-.f64 1 y) (log.f64 y)) (*.f64 x 1/2))
(+.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 18 to 14 computations (22.2% saved)

simplify309.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

946×	`fma-def_binary64`
771×	`fma-neg_binary64`
751×	`unsub-neg_binary64`
519×	`distribute-rgt-in_binary64`
385×	`associate-+l+_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	721	14
6	1244	14
7	1892	14
8	2790	14
9	3280	14
10	4399	14
11	5130	14
12	5430	14
13	6153	14
14	6686	14
15	6907	14
16	7054	14
17	7164	14
18	7190	14
19	7315	14
20	7347	14
21	7389	14
22	7429	14
23	7429	14
24	7429	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 x 1/2 (fma.f64 y (-.f64 (log.f64 z) z) y))

eval1.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.1b

Counts

3 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 15 to 11 computations (26.7% saved)

localize18.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 42 to 24 computations (42.9% saved)

series51.0ms (0.4%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
28.0ms	y	@	0	(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))
8.0ms	z	@	0	(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))
4.0ms	x	@	-inf	(+.f64 (.f64 x 1/2) (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))
2.0ms	z	@	-inf	(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))
2.0ms	x	@	0	(+.f64 (.f64 x 1/2) (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))

rewrite92.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

670×	`fma-def_binary64`
639×	`log-prod_binary64`
358×	`pow2_binary64`
313×	`fma-neg_binary64`
245×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	37
1	268	37
2	3909	37

Stop Event

1×	node limit

Counts

3 → 188

Calls

Call 1

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

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

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(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 (pow.f64 (cbrt.f64 (*.f64 y (-.f64 1 z))) 2) (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 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 (-.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 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 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)))))))

simplify99.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

637×	`sub-neg_binary64`
623×	`unsub-neg_binary64`
617×	`fma-def_binary64`
462×	`fma-neg_binary64`
343×	`associate--r+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	40	871
1	115	871
2	305	867
3	881	765
4	2446	765
5	5233	765
6	7124	765

Stop Event

1×	node limit

Counts

260 → 212

Calls

Call 1

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

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

eval72.0ms (0.5%)

Compiler: Compiled 4005 to 2428 computations (39.4% saved)

prune49.0ms (0.4%)

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	195	17	212
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	195	18	213

Error

Counts

213 → 18

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(+.f64 (.f64 x 1/2) (fma.f64 (-.f64 1 z) y (.f64 y (log.f64 z))))
	0.8b	(+.f64 (.f64 x 1/2) (pow.f64 (cbrt.f64 (.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))) 3))
	0.4b	(+.f64 (.f64 x 1/2) (fma.f64 (pow.f64 (cbrt.f64 (.f64 y (log.f64 z))) 2) (cbrt.f64 (.f64 y (log.f64 z))) (.f64 y (-.f64 1 z))))
	13.7b	(+.f64 (.f64 x 1/2) (/.f64 (.f64 (-.f64 (pow.f64 (-.f64 1 z) 2) (pow.f64 (log.f64 z) 2)) y) (-.f64 1 (+.f64 z (log.f64 z)))))
▶	35.9b	(*.f64 1/2 x)
	17.8b	(+.f64 (.f64 x 1/2) (.f64 (+.f64 1 (log.f64 z)) y))
▶	28.8b	(/.f64 1 (/.f64 (fma.f64 x 1/2 (.f64 (neg.f64 y) (+.f64 (-.f64 1 z) (log.f64 z)))) (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) 2))))
	33.1b	(+.f64 (.f64 x 1/2) (fma.f64 (.f64 (log.f64 z) (sqrt.f64 y)) (sqrt.f64 y) (*.f64 y (-.f64 1 z))))
	20.1b	(+.f64 (.f64 x 1/2) (/.f64 (-.f64 (pow.f64 (.f64 y (-.f64 1 z)) 2) (pow.f64 (.f64 y (log.f64 z)) 2)) (-.f64 (.f64 y (-.f64 1 z)) (*.f64 y (log.f64 z)))))
▶	33.1b	(fma.f64 (.f64 (+.f64 (-.f64 1 z) (log.f64 z)) (sqrt.f64 y)) (sqrt.f64 y) (.f64 x 1/2))
▶	26.9b	(+.f64 (.f64 x 1/2) (.f64 y (log.f64 (*.f64 z (exp.f64 (-.f64 1 z))))))
	27.6b	(+.f64 (.f64 x 1/2) (cbrt.f64 (pow.f64 (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) 3)))
	19.1b	(+.f64 (.f64 x 1/2) (.f64 y (neg.f64 z)))
✓	0.1b	(+.f64 (.f64 x 1/2) (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))
	36.4b	(+.f64 (.f64 x 1/2) (fma.f64 (sqrt.f64 (.f64 y (log.f64 z))) (sqrt.f64 (.f64 y (log.f64 z))) (.f64 y (-.f64 1 z))))
	0.3b	(+.f64 (.f64 x 1/2) (.f64 y (fma.f64 (cbrt.f64 (pow.f64 (log.f64 z) 2)) (cbrt.f64 (log.f64 z)) (-.f64 1 z))))
	0.1b	(+.f64 (.f64 x 1/2) (+.f64 (.f64 y (-.f64 1 z)) (*.f64 y (log.f64 z))))
	31.2b	(+.f64 (.f64 x 1/2) (pow.f64 (sqrt.f64 (.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))) 2))

Compiler

Compiled 679 to 475 computations (30% saved)

localize17.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 42 to 20 computations (52.4% saved)

series39.0ms (0.3%)

Counts

3 → 68

Calls

21 calls:

Time	Variable		Point	Expression
9.0ms	z	@	-inf	(*.f64 y (log.f64 z))
9.0ms	y	@	-inf	(*.f64 y (log.f64 z))
8.0ms	z	@	0	(*.f64 y (log.f64 z))
5.0ms	z	@	inf	(*.f64 y (log.f64 z))
1.0ms	y	@	-inf	(fma.f64 (-.f64 1 z) y (*.f64 y (log.f64 z)))

rewrite82.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

579×	`log-prod_binary64`
393×	`pow-prod-down_binary64`
373×	`fma-def_binary64`
328×	`pow2_binary64`
227×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	36
1	251	34
2	3226	34

Stop Event

1×	node limit

Counts

3 → 112

Calls

Call 1

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

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

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simplify104.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

916×	`unsub-neg_binary64`
738×	`fma-def_binary64`
446×	`sub-neg_binary64`
411×	`distribute-neg-in_binary64`
267×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	51	929
1	162	854
2	432	822
3	1236	720
4	3344	720
5	5443	720
6	6796	720
7	7596	720

Stop Event

1×	node limit

Counts

180 → 135

Calls

Call 1

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

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

localize4.0ms (0%)

Compiler: Compiled 8 to 6 computations (25% saved)

localize30.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 x 1/2) (.f64 y (log.f64 (*.f64 z (exp.f64 (-.f64 1 z))))))
✓	0.2b	(*.f64 z (exp.f64 (-.f64 1 z)))
✓	0.2b	(.f64 y (log.f64 (.f64 z (exp.f64 (-.f64 1 z)))))
✓	1.0b	(log.f64 (*.f64 z (exp.f64 (-.f64 1 z))))

Compiler

Compiled 53 to 36 computations (32.1% saved)

series91.0ms (0.7%)

Counts

4 → 84

Calls

21 calls:

Time	Variable		Point	Expression
29.0ms	z	@	0	(log.f64 (*.f64 z (exp.f64 (-.f64 1 z))))
20.0ms	z	@	-inf	(log.f64 (*.f64 z (exp.f64 (-.f64 1 z))))
19.0ms	y	@	0	(.f64 y (log.f64 (.f64 z (exp.f64 (-.f64 1 z)))))
14.0ms	z	@	inf	(log.f64 (*.f64 z (exp.f64 (-.f64 1 z))))
2.0ms	x	@	0	(+.f64 (.f64 x 1/2) (.f64 y (log.f64 (*.f64 z (exp.f64 (-.f64 1 z))))))

rewrite120.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

633×	`log-prod_binary64`
442×	`pow-prod-down_binary64`
384×	`fma-def_binary64`
344×	`pow2_binary64`
238×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	46
1	268	46
2	3445	46

Stop Event

1×	node limit

Counts

4 → 175

Calls

Call 1

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

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

simplify211.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

879×	`fma-def_binary64`
489×	`distribute-rgt-neg-in_binary64`
457×	`associate-l_binary64`
446×	`distribute-lft-neg-in_binary64`
426×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	62	1181
1	175	1070
2	421	1054
3	1314	933
4	5151	933

Stop Event

1×	node limit

Counts

259 → 206

Calls

Call 1

Inputs
(+.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 (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 z)))) z)
(-.f64 (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 z)))) z)
(-.f64 (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 z)))) z)
(-.f64 (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 z)))) z)
(+.f64 (log.f64 (.f64 -1 (exp.f64 (+.f64 (.f64 -1 z) 1)))) (*.f64 -1 (log.f64 (/.f64 -1 z))))
(+.f64 (log.f64 (.f64 -1 (exp.f64 (+.f64 (.f64 -1 z) 1)))) (*.f64 -1 (log.f64 (/.f64 -1 z))))
(+.f64 (log.f64 (.f64 -1 (exp.f64 (+.f64 (.f64 -1 z) 1)))) (*.f64 -1 (log.f64 (/.f64 -1 z))))
(+.f64 (log.f64 (.f64 -1 (exp.f64 (+.f64 (.f64 -1 z) 1)))) (*.f64 -1 (log.f64 (/.f64 -1 z))))
(.f64 y (log.f64 (.f64 (exp.f64 (-.f64 1 z)) z)))
(.f64 y (log.f64 (.f64 (exp.f64 (-.f64 1 z)) z)))
(.f64 y (log.f64 (.f64 (exp.f64 (-.f64 1 z)) z)))
(.f64 y (log.f64 (.f64 (exp.f64 (-.f64 1 z)) z)))
(.f64 y (log.f64 (.f64 (exp.f64 (-.f64 1 z)) z)))
(.f64 y (log.f64 (.f64 (exp.f64 (-.f64 1 z)) z)))
(.f64 y (log.f64 (.f64 (exp.f64 (-.f64 1 z)) z)))
(.f64 y (log.f64 (.f64 (exp.f64 (-.f64 1 z)) z)))
(.f64 y (log.f64 (.f64 (exp.f64 (-.f64 1 z)) z)))
(.f64 y (log.f64 (.f64 (exp.f64 (-.f64 1 z)) z)))
(.f64 y (log.f64 (.f64 (exp.f64 (-.f64 1 z)) z)))
(.f64 y (log.f64 (.f64 (exp.f64 (-.f64 1 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 (-.f64 (+.f64 1 (.f64 -1 (log.f64 (/.f64 1 z)))) z) y)
(.f64 (-.f64 (+.f64 1 (.f64 -1 (log.f64 (/.f64 1 z)))) z) y)
(.f64 (-.f64 (+.f64 1 (.f64 -1 (log.f64 (/.f64 1 z)))) z) y)
(.f64 (-.f64 (+.f64 1 (.f64 -1 (log.f64 (/.f64 1 z)))) z) y)
(.f64 y (+.f64 (log.f64 (.f64 -1 (exp.f64 (+.f64 (.f64 -1 z) 1)))) (.f64 -1 (log.f64 (/.f64 -1 z)))))
(.f64 y (+.f64 (log.f64 (.f64 -1 (exp.f64 (+.f64 (.f64 -1 z) 1)))) (.f64 -1 (log.f64 (/.f64 -1 z)))))
(.f64 y (+.f64 (log.f64 (.f64 -1 (exp.f64 (+.f64 (.f64 -1 z) 1)))) (.f64 -1 (log.f64 (/.f64 -1 z)))))
(.f64 y (+.f64 (log.f64 (.f64 -1 (exp.f64 (+.f64 (.f64 -1 z) 1)))) (.f64 -1 (log.f64 (/.f64 -1 z)))))
(*.f64 (E.f64) z)
(+.f64 (.f64 (E.f64) z) (.f64 -1 (*.f64 (E.f64) (pow.f64 z 2))))
(+.f64 (.f64 1/2 (.f64 (E.f64) (pow.f64 z 3))) (+.f64 (.f64 (E.f64) z) (.f64 -1 (*.f64 (E.f64) (pow.f64 z 2)))))
(+.f64 (.f64 1/2 (.f64 (E.f64) (pow.f64 z 3))) (+.f64 (.f64 (E.f64) z) (+.f64 (.f64 -1 (.f64 (E.f64) (pow.f64 z 2))) (.f64 -1/6 (*.f64 (E.f64) (pow.f64 z 4))))))
(*.f64 (exp.f64 (-.f64 1 z)) z)
(*.f64 (exp.f64 (-.f64 1 z)) z)
(*.f64 (exp.f64 (-.f64 1 z)) z)
(*.f64 (exp.f64 (-.f64 1 z)) z)
(.f64 z (exp.f64 (+.f64 (.f64 -1 z) 1)))
(.f64 z (exp.f64 (+.f64 (.f64 -1 z) 1)))
(.f64 z (exp.f64 (+.f64 (.f64 -1 z) 1)))
(.f64 z (exp.f64 (+.f64 (.f64 -1 z) 1)))
(.f64 y (log.f64 (.f64 (exp.f64 (-.f64 1 z)) z)))
(+.f64 (.f64 1/2 x) (.f64 y (log.f64 (*.f64 (exp.f64 (-.f64 1 z)) z))))
(+.f64 (.f64 1/2 x) (.f64 y (log.f64 (*.f64 (exp.f64 (-.f64 1 z)) z))))
(+.f64 (.f64 1/2 x) (.f64 y (log.f64 (*.f64 (exp.f64 (-.f64 1 z)) z))))
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 y (log.f64 (*.f64 (exp.f64 (-.f64 1 z)) z))))
(+.f64 (.f64 1/2 x) (.f64 y (log.f64 (*.f64 (exp.f64 (-.f64 1 z)) z))))
(+.f64 (.f64 1/2 x) (.f64 y (log.f64 (*.f64 (exp.f64 (-.f64 1 z)) z))))
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 y (log.f64 (*.f64 (exp.f64 (-.f64 1 z)) z))))
(+.f64 (.f64 1/2 x) (.f64 y (log.f64 (*.f64 (exp.f64 (-.f64 1 z)) z))))
(+.f64 (.f64 1/2 x) (.f64 y (log.f64 (*.f64 (exp.f64 (-.f64 1 z)) z))))
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 y (log.f64 (*.f64 (exp.f64 (-.f64 1 z)) z))))
(+.f64 (.f64 1/2 x) (.f64 y (log.f64 (*.f64 (exp.f64 (-.f64 1 z)) z))))
(+.f64 (.f64 1/2 x) (.f64 y (log.f64 (*.f64 (exp.f64 (-.f64 1 z)) z))))
(.f64 y (log.f64 (.f64 (exp.f64 (-.f64 1 z)) z)))
(+.f64 (.f64 1/2 x) (.f64 y (log.f64 (*.f64 (exp.f64 (-.f64 1 z)) z))))
(+.f64 (.f64 1/2 x) (.f64 y (log.f64 (*.f64 (exp.f64 (-.f64 1 z)) z))))
(+.f64 (.f64 1/2 x) (.f64 y (log.f64 (*.f64 (exp.f64 (-.f64 1 z)) z))))
(.f64 y (log.f64 (.f64 (exp.f64 (-.f64 1 z)) z)))
(+.f64 (.f64 1/2 x) (.f64 y (log.f64 (*.f64 (exp.f64 (-.f64 1 z)) z))))
(+.f64 (.f64 1/2 x) (.f64 y (log.f64 (*.f64 (exp.f64 (-.f64 1 z)) z))))
(+.f64 (.f64 1/2 x) (.f64 y (log.f64 (*.f64 (exp.f64 (-.f64 1 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 (.f64 1/2 x) (.f64 (-.f64 (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 z)))) z) y))
(+.f64 (.f64 1/2 x) (.f64 (-.f64 (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 z)))) z) y))
(+.f64 (.f64 1/2 x) (.f64 (-.f64 (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 z)))) z) y))
(+.f64 (.f64 1/2 x) (.f64 (-.f64 (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 z)))) z) y))
(+.f64 (.f64 y (+.f64 (log.f64 (.f64 -1 (exp.f64 (+.f64 (.f64 -1 z) 1)))) (.f64 -1 (log.f64 (/.f64 -1 z))))) (*.f64 1/2 x))
(+.f64 (.f64 y (+.f64 (log.f64 (.f64 -1 (exp.f64 (+.f64 (.f64 -1 z) 1)))) (.f64 -1 (log.f64 (/.f64 -1 z))))) (*.f64 1/2 x))
(+.f64 (.f64 y (+.f64 (log.f64 (.f64 -1 (exp.f64 (+.f64 (.f64 -1 z) 1)))) (.f64 -1 (log.f64 (/.f64 -1 z))))) (*.f64 1/2 x))
(+.f64 (.f64 y (+.f64 (log.f64 (.f64 -1 (exp.f64 (+.f64 (.f64 -1 z) 1)))) (.f64 -1 (log.f64 (/.f64 -1 z))))) (*.f64 1/2 x))

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

localize80.0ms (0.6%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 48 to 25 computations (47.9% saved)

series156.0ms (1.1%)

Counts

2 → 37

Calls

15 calls:

Time	Variable		Point	Expression
136.0ms	y	@	0	(*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) (sqrt.f64 y))
3.0ms	y	@	-inf	(fma.f64 (.f64 (+.f64 (-.f64 1 z) (log.f64 z)) (sqrt.f64 y)) (sqrt.f64 y) (.f64 x 1/2))
2.0ms	y	@	inf	(fma.f64 (.f64 (+.f64 (-.f64 1 z) (log.f64 z)) (sqrt.f64 y)) (sqrt.f64 y) (.f64 x 1/2))
2.0ms	y	@	-inf	(*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) (sqrt.f64 y))
2.0ms	z	@	inf	(*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) (sqrt.f64 y))

rewrite99.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

616×	`log-prod_binary64`
430×	`pow-prod-down_binary64`
354×	`fma-def_binary64`
349×	`pow2_binary64`
241×	`pow1/3_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	37
1	271	32
2	3485	30

Stop Event

1×	node limit

Counts

2 → 59

Calls

Call 1

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

Outputs

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

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

simplify92.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

839×	`fma-def_binary64`
607×	`sub-neg_binary64`
558×	`fma-neg_binary64`
480×	`unsub-neg_binary64`
317×	`associate--r+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	44	616
1	129	535
2	366	488
3	1112	450
4	3030	450
5	6219	450

Stop Event

1×	node limit

Counts

96 → 79

Calls

Call 1

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

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

localize225.0ms (1.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 1 (/.f64 (fma.f64 x 1/2 (.f64 (neg.f64 y) (+.f64 (-.f64 1 z) (log.f64 z)))) (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) 2))))
✓	0.3b	(pow.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) 2)
✓	3.9b	(-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) 2))
✓	26.9b	(/.f64 (fma.f64 x 1/2 (.f64 (neg.f64 y) (+.f64 (-.f64 1 z) (log.f64 z)))) (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) 2)))

Compiler

Compiled 146 to 80 computations (45.2% saved)

series200.0ms (1.5%)

Counts

4 → 132

Calls

33 calls:

Time	Variable		Point	Expression
137.0ms	y	@	-inf	(/.f64 (fma.f64 x 1/2 (.f64 (neg.f64 y) (+.f64 (-.f64 1 z) (log.f64 z)))) (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) 2)))
7.0ms	z	@	0	(/.f64 (fma.f64 x 1/2 (.f64 (neg.f64 y) (+.f64 (-.f64 1 z) (log.f64 z)))) (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) 2)))
5.0ms	z	@	-inf	(/.f64 (fma.f64 x 1/2 (.f64 (neg.f64 y) (+.f64 (-.f64 1 z) (log.f64 z)))) (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) 2)))
5.0ms	z	@	inf	(/.f64 (fma.f64 x 1/2 (.f64 (neg.f64 y) (+.f64 (-.f64 1 z) (log.f64 z)))) (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) 2)))
4.0ms	x	@	-inf	(/.f64 1 (/.f64 (fma.f64 x 1/2 (.f64 (neg.f64 y) (+.f64 (-.f64 1 z) (log.f64 z)))) (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) 2))))

rewrite236.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

327×	`expm1-udef_binary64`
326×	`log1p-udef_binary64`
240×	`add-sqr-sqrt_binary64`
234×	`pow1_binary64`
233×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	130
1	479	69
2	7083	69

Stop Event

1×	node limit

Counts

4 → 173

Calls

Call 1

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

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

simplify340.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

549×	`cancel-sign-sub-inv_binary64`
386×	`fma-neg_binary64`
378×	`fma-def_binary64`
256×	`sub-neg_binary64`
234×	`div-sub_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	332	7809
1	1186	7381
2	5355	7155

Stop Event

1×	node limit

Counts

305 → 275

Calls

Call 1

Inputs
(/.f64 1 (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)))
(+.f64 (.f64 -1/2 (/.f64 x (.f64 (pow.f64 y 2) (pow.f64 (-.f64 (+.f64 1 (log.f64 z)) z) 2)))) (/.f64 1 (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))))
(+.f64 (.f64 1/4 (/.f64 (pow.f64 x 2) (.f64 (pow.f64 y 3) (pow.f64 (-.f64 (+.f64 1 (log.f64 z)) z) 3)))) (+.f64 (.f64 -1/2 (/.f64 x (.f64 (pow.f64 y 2) (pow.f64 (-.f64 (+.f64 1 (log.f64 z)) z) 2)))) (/.f64 1 (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 3) (.f64 (pow.f64 y 4) (pow.f64 (-.f64 (+.f64 1 (log.f64 z)) z) 4)))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 x 2) (.f64 (pow.f64 y 3) (pow.f64 (-.f64 (+.f64 1 (log.f64 z)) z) 3)))) (+.f64 (.f64 -1/2 (/.f64 x (.f64 (pow.f64 y 2) (pow.f64 (-.f64 (+.f64 1 (log.f64 z)) z) 2)))) (/.f64 1 (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))))))
(/.f64 2 x)
(+.f64 (.f64 2 (/.f64 1 x)) (.f64 -4 (/.f64 (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)) (pow.f64 x 2))))
(+.f64 (.f64 8 (/.f64 (.f64 (pow.f64 y 2) (pow.f64 (-.f64 (+.f64 1 (log.f64 z)) z) 2)) (pow.f64 x 3))) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 -4 (/.f64 (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)) (pow.f64 x 2)))))
(+.f64 (.f64 8 (/.f64 (.f64 (pow.f64 y 2) (pow.f64 (-.f64 (+.f64 1 (log.f64 z)) z) 2)) (pow.f64 x 3))) (+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 -4 (/.f64 (.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)) (pow.f64 x 2))) (.f64 -16 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 (-.f64 (+.f64 1 (log.f64 z)) z) 3)) (pow.f64 x 4))))))
(/.f64 2 x)
(+.f64 (.f64 2 (/.f64 1 x)) (.f64 -4 (/.f64 (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)) (pow.f64 x 2))))
(+.f64 (.f64 8 (/.f64 (.f64 (pow.f64 y 2) (pow.f64 (-.f64 (+.f64 1 (log.f64 z)) z) 2)) (pow.f64 x 3))) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 -4 (/.f64 (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)) (pow.f64 x 2)))))
(+.f64 (.f64 8 (/.f64 (.f64 (pow.f64 y 2) (pow.f64 (-.f64 (+.f64 1 (log.f64 z)) z) 2)) (pow.f64 x 3))) (+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 -4 (/.f64 (.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)) (pow.f64 x 2))) (.f64 -16 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 (-.f64 (+.f64 1 (log.f64 z)) z) 3)) (pow.f64 x 4))))))
(/.f64 2 x)
(+.f64 (.f64 2 (/.f64 1 x)) (.f64 -4 (/.f64 (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)) (pow.f64 x 2))))
(+.f64 (.f64 8 (/.f64 (.f64 (pow.f64 y 2) (pow.f64 (-.f64 (+.f64 1 (log.f64 z)) z) 2)) (pow.f64 x 3))) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 -4 (/.f64 (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)) (pow.f64 x 2)))))
(+.f64 (.f64 8 (/.f64 (.f64 (pow.f64 y 2) (pow.f64 (-.f64 (+.f64 1 (log.f64 z)) z) 2)) (pow.f64 x 3))) (+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 -4 (/.f64 (.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)) (pow.f64 x 2))) (.f64 -16 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 (-.f64 (+.f64 1 (log.f64 z)) z) 3)) (pow.f64 x 4))))))
(/.f64 1 (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)))
(+.f64 (.f64 -1/2 (/.f64 x (.f64 (pow.f64 y 2) (pow.f64 (-.f64 (+.f64 1 (log.f64 z)) z) 2)))) (/.f64 1 (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))))
(+.f64 (.f64 1/4 (/.f64 (pow.f64 x 2) (.f64 (pow.f64 y 3) (pow.f64 (-.f64 (+.f64 1 (log.f64 z)) z) 3)))) (+.f64 (.f64 -1/2 (/.f64 x (.f64 (pow.f64 y 2) (pow.f64 (-.f64 (+.f64 1 (log.f64 z)) z) 2)))) (/.f64 1 (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 3) (.f64 (pow.f64 y 4) (pow.f64 (-.f64 (+.f64 1 (log.f64 z)) z) 4)))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 x 2) (.f64 (pow.f64 y 3) (pow.f64 (-.f64 (+.f64 1 (log.f64 z)) z) 3)))) (+.f64 (.f64 -1/2 (/.f64 x (.f64 (pow.f64 y 2) (pow.f64 (-.f64 (+.f64 1 (log.f64 z)) z) 2)))) (/.f64 1 (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))))))
(/.f64 1 (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)))
(+.f64 (.f64 -1/2 (/.f64 x (.f64 (pow.f64 y 2) (pow.f64 (-.f64 (+.f64 1 (log.f64 z)) z) 2)))) (/.f64 1 (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))))
(+.f64 (.f64 1/4 (/.f64 (pow.f64 x 2) (.f64 (pow.f64 y 3) (pow.f64 (-.f64 (+.f64 1 (log.f64 z)) z) 3)))) (+.f64 (.f64 -1/2 (/.f64 x (.f64 (pow.f64 y 2) (pow.f64 (-.f64 (+.f64 1 (log.f64 z)) z) 2)))) (/.f64 1 (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 3) (.f64 (pow.f64 y 4) (pow.f64 (-.f64 (+.f64 1 (log.f64 z)) z) 4)))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 x 2) (.f64 (pow.f64 y 3) (pow.f64 (-.f64 (+.f64 1 (log.f64 z)) z) 3)))) (+.f64 (.f64 -1/2 (/.f64 x (.f64 (pow.f64 y 2) (pow.f64 (-.f64 (+.f64 1 (log.f64 z)) z) 2)))) (/.f64 1 (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))))))
(/.f64 (+.f64 (.f64 1/2 x) (.f64 -1 (.f64 (+.f64 1 (log.f64 z)) y))) (-.f64 (.f64 1/4 (pow.f64 x 2)) (*.f64 (pow.f64 (+.f64 1 (log.f64 z)) 2) (pow.f64 y 2))))
(+.f64 (.f64 1/2 (/.f64 x (-.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 (pow.f64 (+.f64 1 (log.f64 z)) 2) (pow.f64 y 2))))) (+.f64 (.f64 z (-.f64 (/.f64 y (-.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 (pow.f64 (+.f64 1 (log.f64 z)) 2) (pow.f64 y 2)))) (.f64 2 (/.f64 (.f64 (+.f64 (.f64 1/2 x) (.f64 -1 (.f64 (+.f64 1 (log.f64 z)) y))) (.f64 (+.f64 1 (log.f64 z)) (pow.f64 y 2))) (pow.f64 (-.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 (pow.f64 (+.f64 1 (log.f64 z)) 2) (pow.f64 y 2))) 2))))) (.f64 -1 (/.f64 (.f64 (+.f64 1 (log.f64 z)) y) (-.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 (pow.f64 (+.f64 1 (log.f64 z)) 2) (pow.f64 y 2)))))))
(+.f64 (.f64 1/2 (/.f64 x (-.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 (pow.f64 (+.f64 1 (log.f64 z)) 2) (pow.f64 y 2))))) (+.f64 (.f64 z (-.f64 (/.f64 y (-.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 (pow.f64 (+.f64 1 (log.f64 z)) 2) (pow.f64 y 2)))) (.f64 2 (/.f64 (.f64 (+.f64 (.f64 1/2 x) (.f64 -1 (.f64 (+.f64 1 (log.f64 z)) y))) (.f64 (+.f64 1 (log.f64 z)) (pow.f64 y 2))) (pow.f64 (-.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 (pow.f64 (+.f64 1 (log.f64 z)) 2) (pow.f64 y 2))) 2))))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 (log.f64 z)) y) (-.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 (pow.f64 (+.f64 1 (log.f64 z)) 2) (pow.f64 y 2))))) (.f64 -1 (.f64 (+.f64 (.f64 2 (/.f64 (.f64 (+.f64 1 (log.f64 z)) (.f64 (pow.f64 y 2) (-.f64 (/.f64 y (-.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 (pow.f64 (+.f64 1 (log.f64 z)) 2) (pow.f64 y 2)))) (.f64 2 (/.f64 (.f64 (+.f64 1 (log.f64 z)) (.f64 (+.f64 (.f64 1/2 x) (.f64 -1 (.f64 (+.f64 1 (log.f64 z)) y))) (pow.f64 y 2))) (pow.f64 (-.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 (pow.f64 (+.f64 1 (log.f64 z)) 2) (pow.f64 y 2))) 2)))))) (-.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 (pow.f64 (+.f64 1 (log.f64 z)) 2) (pow.f64 y 2))))) (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 1/2 x) (.f64 -1 (.f64 (+.f64 1 (log.f64 z)) y))) (pow.f64 y 2)) (pow.f64 (-.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 (pow.f64 (+.f64 1 (log.f64 z)) 2) (pow.f64 y 2))) 2)))) (pow.f64 z 2))))))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -2 (/.f64 (.f64 (+.f64 1 (log.f64 z)) (.f64 (pow.f64 y 2) (+.f64 (.f64 2 (/.f64 (.f64 (+.f64 1 (log.f64 z)) (.f64 (pow.f64 y 2) (-.f64 (/.f64 y (-.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 (pow.f64 (+.f64 1 (log.f64 z)) 2) (pow.f64 y 2)))) (.f64 2 (/.f64 (.f64 (+.f64 (.f64 1/2 x) (.f64 -1 (.f64 (+.f64 1 (log.f64 z)) y))) (.f64 (+.f64 1 (log.f64 z)) (pow.f64 y 2))) (pow.f64 (-.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 (pow.f64 (+.f64 1 (log.f64 z)) 2) (pow.f64 y 2))) 2)))))) (-.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 (pow.f64 (+.f64 1 (log.f64 z)) 2) (pow.f64 y 2))))) (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 1/2 x) (.f64 -1 (.f64 (+.f64 1 (log.f64 z)) y))) (pow.f64 y 2)) (pow.f64 (-.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 (pow.f64 (+.f64 1 (log.f64 z)) 2) (pow.f64 y 2))) 2)))))) (-.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 (pow.f64 (+.f64 1 (log.f64 z)) 2) (pow.f64 y 2))))) (.f64 -1 (/.f64 (.f64 (-.f64 (/.f64 y (-.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 (pow.f64 (+.f64 1 (log.f64 z)) 2) (pow.f64 y 2)))) (.f64 2 (/.f64 (.f64 (+.f64 1 (log.f64 z)) (.f64 (+.f64 (.f64 1/2 x) (.f64 -1 (.f64 (+.f64 1 (log.f64 z)) y))) (pow.f64 y 2))) (pow.f64 (-.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 (pow.f64 (+.f64 1 (log.f64 z)) 2) (pow.f64 y 2))) 2)))) (pow.f64 y 2)) (-.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 (pow.f64 (+.f64 1 (log.f64 z)) 2) (pow.f64 y 2)))))) (pow.f64 z 3))) (+.f64 (.f64 1/2 (/.f64 x (-.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 (pow.f64 (+.f64 1 (log.f64 z)) 2) (pow.f64 y 2))))) (+.f64 (.f64 z (-.f64 (/.f64 y (-.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 (pow.f64 (+.f64 1 (log.f64 z)) 2) (pow.f64 y 2)))) (.f64 2 (/.f64 (.f64 (+.f64 (.f64 1/2 x) (.f64 -1 (.f64 (+.f64 1 (log.f64 z)) y))) (.f64 (+.f64 1 (log.f64 z)) (pow.f64 y 2))) (pow.f64 (-.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 (pow.f64 (+.f64 1 (log.f64 z)) 2) (pow.f64 y 2))) 2))))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 1 (log.f64 z)) y) (-.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 (pow.f64 (+.f64 1 (log.f64 z)) 2) (pow.f64 y 2))))) (.f64 -1 (.f64 (+.f64 (.f64 2 (/.f64 (.f64 (+.f64 1 (log.f64 z)) (.f64 (pow.f64 y 2) (-.f64 (/.f64 y (-.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 (pow.f64 (+.f64 1 (log.f64 z)) 2) (pow.f64 y 2)))) (.f64 2 (/.f64 (.f64 (+.f64 1 (log.f64 z)) (.f64 (+.f64 (.f64 1/2 x) (.f64 -1 (.f64 (+.f64 1 (log.f64 z)) y))) (pow.f64 y 2))) (pow.f64 (-.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 (pow.f64 (+.f64 1 (log.f64 z)) 2) (pow.f64 y 2))) 2)))))) (-.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 (pow.f64 (+.f64 1 (log.f64 z)) 2) (pow.f64 y 2))))) (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 1/2 x) (.f64 -1 (.f64 (+.f64 1 (log.f64 z)) y))) (pow.f64 y 2)) (pow.f64 (-.f64 (.f64 1/4 (pow.f64 x 2)) (*.f64 (pow.f64 (+.f64 1 (log.f64 z)) 2) (pow.f64 y 2))) 2)))) (pow.f64 z 2)))))))
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(-.f64 (+.f64 (.f64 1/4 (/.f64 (pow.f64 x 2) (+.f64 (.f64 1/2 x) (.f64 -1 (.f64 (+.f64 1 (log.f64 z)) y))))) (+.f64 (.f64 (pow.f64 z 2) (-.f64 (.f64 -1 (/.f64 (pow.f64 y 2) (+.f64 (.f64 1/2 x) (.f64 -1 (.f64 (+.f64 1 (log.f64 z)) y))))) (/.f64 (.f64 (-.f64 (.f64 2 (/.f64 (.f64 (+.f64 1 (log.f64 z)) (pow.f64 y 2)) (+.f64 (.f64 1/2 x) (.f64 -1 (.f64 (+.f64 1 (log.f64 z)) y))))) (/.f64 (.f64 y (-.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 (pow.f64 (+.f64 1 (log.f64 z)) 2) (pow.f64 y 2)))) (pow.f64 (+.f64 (.f64 1/2 x) (.f64 -1 (.f64 (+.f64 1 (log.f64 z)) y))) 2))) y) (+.f64 (.f64 1/2 x) (.f64 -1 (.f64 (+.f64 1 (log.f64 z)) y)))))) (.f64 (-.f64 (.f64 2 (/.f64 (.f64 (+.f64 1 (log.f64 z)) (pow.f64 y 2)) (+.f64 (.f64 1/2 x) (.f64 -1 (.f64 (+.f64 1 (log.f64 z)) y))))) (/.f64 (.f64 y (-.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 (pow.f64 (+.f64 1 (log.f64 z)) 2) (pow.f64 y 2)))) (pow.f64 (+.f64 (.f64 1/2 x) (.f64 -1 (.f64 (+.f64 1 (log.f64 z)) y))) 2))) z))) (/.f64 (.f64 (pow.f64 (+.f64 1 (log.f64 z)) 2) (pow.f64 y 2)) (+.f64 (.f64 1/2 x) (.f64 -1 (.f64 (+.f64 1 (log.f64 z)) y)))))
(-.f64 (+.f64 (.f64 1/4 (/.f64 (pow.f64 x 2) (+.f64 (.f64 1/2 x) (.f64 -1 (.f64 (+.f64 1 (log.f64 z)) y))))) (+.f64 (.f64 -1 (/.f64 (.f64 y (.f64 (pow.f64 z 3) (-.f64 (.f64 -1 (/.f64 (pow.f64 y 2) (+.f64 (.f64 1/2 x) (.f64 -1 (.f64 (+.f64 1 (log.f64 z)) y))))) (/.f64 (.f64 (-.f64 (.f64 2 (/.f64 (.f64 (+.f64 1 (log.f64 z)) (pow.f64 y 2)) (+.f64 (.f64 1/2 x) (.f64 -1 (.f64 (+.f64 1 (log.f64 z)) y))))) (/.f64 (.f64 y (-.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 (pow.f64 (+.f64 1 (log.f64 z)) 2) (pow.f64 y 2)))) (pow.f64 (+.f64 (.f64 1/2 x) (.f64 -1 (.f64 (+.f64 1 (log.f64 z)) y))) 2))) y) (+.f64 (.f64 1/2 x) (.f64 -1 (.f64 (+.f64 1 (log.f64 z)) y))))))) (+.f64 (.f64 1/2 x) (.f64 -1 (.f64 (+.f64 1 (log.f64 z)) y))))) (+.f64 (.f64 (pow.f64 z 2) (-.f64 (.f64 -1 (/.f64 (pow.f64 y 2) (+.f64 (.f64 1/2 x) (.f64 -1 (.f64 (+.f64 1 (log.f64 z)) y))))) (/.f64 (.f64 (-.f64 (.f64 2 (/.f64 (.f64 (+.f64 1 (log.f64 z)) (pow.f64 y 2)) (+.f64 (.f64 1/2 x) (.f64 -1 (.f64 (+.f64 1 (log.f64 z)) y))))) (/.f64 (.f64 y (-.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 (pow.f64 (+.f64 1 (log.f64 z)) 2) (pow.f64 y 2)))) (pow.f64 (+.f64 (.f64 1/2 x) (.f64 -1 (.f64 (+.f64 1 (log.f64 z)) y))) 2))) y) (+.f64 (.f64 1/2 x) (.f64 -1 (.f64 (+.f64 1 (log.f64 z)) y)))))) (.f64 (-.f64 (.f64 2 (/.f64 (.f64 (+.f64 1 (log.f64 z)) (pow.f64 y 2)) (+.f64 (.f64 1/2 x) (.f64 -1 (.f64 (+.f64 1 (log.f64 z)) y))))) (/.f64 (.f64 y (-.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 (pow.f64 (+.f64 1 (log.f64 z)) 2) (pow.f64 y 2)))) (pow.f64 (+.f64 (.f64 1/2 x) (.f64 -1 (.f64 (+.f64 1 (log.f64 z)) y))) 2))) z)))) (/.f64 (.f64 (pow.f64 (+.f64 1 (log.f64 z)) 2) (pow.f64 y 2)) (+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 (+.f64 1 (log.f64 z)) y)))))
(.f64 -1 (.f64 y z))
(-.f64 (+.f64 (.f64 -1 (.f64 y z)) (.f64 2 (.f64 y (+.f64 1 (.f64 -1 (log.f64 (/.f64 1 z))))))) (.f64 -1 (+.f64 (.f64 1/2 x) (.f64 -1 (.f64 y (+.f64 1 (.f64 -1 (log.f64 (/.f64 1 z)))))))))
(-.f64 (+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 2 (.f64 y (+.f64 1 (.f64 -1 (log.f64 (/.f64 1 z)))))) (.f64 1/4 (/.f64 (pow.f64 x 2) (.f64 y z))))) (+.f64 (/.f64 (.f64 y (pow.f64 (+.f64 1 (.f64 -1 (log.f64 (/.f64 1 z)))) 2)) z) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/2 x) (.f64 -1 (.f64 y (+.f64 1 (.f64 -1 (log.f64 (/.f64 1 z))))))) (-.f64 (.f64 2 (.f64 y (+.f64 1 (.f64 -1 (log.f64 (/.f64 1 z)))))) (.f64 -1 (+.f64 (.f64 1/2 x) (.f64 -1 (.f64 y (+.f64 1 (.f64 -1 (log.f64 (/.f64 1 z)))))))))) (.f64 y z)) (.f64 -1 (+.f64 (.f64 1/2 x) (.f64 -1 (.f64 y (+.f64 1 (.f64 -1 (log.f64 (/.f64 1 z)))))))))))
(-.f64 (+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 2 (.f64 y (+.f64 1 (.f64 -1 (log.f64 (/.f64 1 z)))))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 x 2) (.f64 y z))) (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 1/2 x) (.f64 -1 (.f64 y (+.f64 1 (.f64 -1 (log.f64 (/.f64 1 z))))))) (-.f64 (.f64 1/4 (/.f64 (pow.f64 x 2) y)) (+.f64 (.f64 y (pow.f64 (+.f64 1 (.f64 -1 (log.f64 (/.f64 1 z)))) 2)) (/.f64 (.f64 (+.f64 (.f64 1/2 x) (.f64 -1 (.f64 y (+.f64 1 (.f64 -1 (log.f64 (/.f64 1 z))))))) (-.f64 (.f64 2 (.f64 y (+.f64 1 (.f64 -1 (log.f64 (/.f64 1 z)))))) (.f64 -1 (+.f64 (.f64 1/2 x) (.f64 -1 (.f64 y (+.f64 1 (.f64 -1 (log.f64 (/.f64 1 z)))))))))) y)))) (.f64 y (pow.f64 z 2))))))) (+.f64 (/.f64 (.f64 y (pow.f64 (+.f64 1 (.f64 -1 (log.f64 (/.f64 1 z)))) 2)) z) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/2 x) (.f64 -1 (.f64 y (+.f64 1 (.f64 -1 (log.f64 (/.f64 1 z))))))) (-.f64 (.f64 2 (.f64 y (+.f64 1 (.f64 -1 (log.f64 (/.f64 1 z)))))) (.f64 -1 (+.f64 (.f64 1/2 x) (.f64 -1 (.f64 y (+.f64 1 (.f64 -1 (log.f64 (/.f64 1 z)))))))))) (.f64 y z)) (.f64 -1 (+.f64 (.f64 1/2 x) (.f64 -1 (.f64 y (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 z)))))))))))
(.f64 -1 (.f64 y z))
(-.f64 (+.f64 (.f64 2 (.f64 y (+.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 z))))))) (.f64 -1 (.f64 y z))) (.f64 -1 (+.f64 (.f64 1/2 x) (.f64 -1 (.f64 y (+.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 z))))))))))
(-.f64 (+.f64 (.f64 2 (.f64 y (+.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 z))))))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 (pow.f64 y 2) (pow.f64 (+.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 z))))) 2))) y)) (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 2 (.f64 y (+.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 z))))))) (.f64 -1 (+.f64 (.f64 1/2 x) (.f64 -1 (.f64 y (+.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 z)))))))))) (+.f64 (.f64 1/2 x) (.f64 -1 (.f64 y (+.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 z))))))))) y))) z)) (.f64 -1 (.f64 y z)))) (.f64 -1 (+.f64 (.f64 1/2 x) (.f64 -1 (.f64 y (+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z))))))))))
(-.f64 (+.f64 (.f64 2 (.f64 y (+.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 z))))))) (+.f64 (/.f64 (.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 (pow.f64 y 2) (pow.f64 (+.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 z))))) 2))) y)) (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 2 (.f64 y (+.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 z))))))) (.f64 -1 (+.f64 (.f64 1/2 x) (.f64 -1 (.f64 y (+.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 z)))))))))) (+.f64 (.f64 1/2 x) (.f64 -1 (.f64 y (+.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 z))))))))) y))) (+.f64 (.f64 1/2 x) (.f64 -1 (.f64 y (+.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 z))))))))) (.f64 y (pow.f64 z 2))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 (pow.f64 y 2) (pow.f64 (+.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 z))))) 2))) y)) (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 2 (.f64 y (+.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 z))))))) (.f64 -1 (+.f64 (.f64 1/2 x) (.f64 -1 (.f64 y (+.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 z)))))))))) (+.f64 (.f64 1/2 x) (.f64 -1 (.f64 y (+.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 z))))))))) y))) z)) (.f64 -1 (.f64 y z))))) (.f64 -1 (+.f64 (.f64 1/2 x) (.f64 -1 (.f64 y (+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z))))))))))

Outputs
(/.f64 1 (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)))
(/.f64 (/.f64 1 y) (+.f64 1 (-.f64 (log.f64 z) z)))
(/.f64 (/.f64 1 y) (+.f64 (log.f64 z) (-.f64 1 z)))
(+.f64 (.f64 -1/2 (/.f64 x (.f64 (pow.f64 y 2) (pow.f64 (-.f64 (+.f64 1 (log.f64 z)) z) 2)))) (/.f64 1 (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))))
(fma.f64 -1/2 (/.f64 (/.f64 x (*.f64 y y)) (pow.f64 (+.f64 1 (-.f64 (log.f64 z) z)) 2)) (/.f64 (/.f64 1 y) (+.f64 1 (-.f64 (log.f64 z) z))))
(fma.f64 -1/2 (/.f64 (/.f64 x (*.f64 y y)) (pow.f64 (+.f64 (log.f64 z) (-.f64 1 z)) 2)) (/.f64 (/.f64 1 y) (+.f64 (log.f64 z) (-.f64 1 z))))
(+.f64 (.f64 1/4 (/.f64 (pow.f64 x 2) (.f64 (pow.f64 y 3) (pow.f64 (-.f64 (+.f64 1 (log.f64 z)) z) 3)))) (+.f64 (.f64 -1/2 (/.f64 x (.f64 (pow.f64 y 2) (pow.f64 (-.f64 (+.f64 1 (log.f64 z)) z) 2)))) (/.f64 1 (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)))))
(fma.f64 1/4 (/.f64 (/.f64 (.f64 x x) (pow.f64 y 3)) (pow.f64 (+.f64 1 (-.f64 (log.f64 z) z)) 3)) (fma.f64 -1/2 (/.f64 (/.f64 x (.f64 y y)) (pow.f64 (+.f64 1 (-.f64 (log.f64 z) z)) 2)) (/.f64 (/.f64 1 y) (+.f64 1 (-.f64 (log.f64 z) z)))))
(fma.f64 1/4 (.f64 (/.f64 x (pow.f64 y 3)) (/.f64 x (pow.f64 (+.f64 (log.f64 z) (-.f64 1 z)) 3))) (fma.f64 -1/2 (/.f64 (/.f64 x (.f64 y y)) (pow.f64 (+.f64 (log.f64 z) (-.f64 1 z)) 2)) (/.f64 (/.f64 1 y) (+.f64 (log.f64 z) (-.f64 1 z)))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 3) (.f64 (pow.f64 y 4) (pow.f64 (-.f64 (+.f64 1 (log.f64 z)) z) 4)))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 x 2) (.f64 (pow.f64 y 3) (pow.f64 (-.f64 (+.f64 1 (log.f64 z)) z) 3)))) (+.f64 (.f64 -1/2 (/.f64 x (.f64 (pow.f64 y 2) (pow.f64 (-.f64 (+.f64 1 (log.f64 z)) z) 2)))) (/.f64 1 (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))))))
(fma.f64 -1/8 (/.f64 (pow.f64 x 3) (.f64 (pow.f64 y 4) (pow.f64 (+.f64 1 (-.f64 (log.f64 z) z)) 4))) (fma.f64 1/4 (/.f64 (/.f64 (.f64 x x) (pow.f64 y 3)) (pow.f64 (+.f64 1 (-.f64 (log.f64 z) z)) 3)) (fma.f64 -1/2 (/.f64 (/.f64 x (*.f64 y y)) (pow.f64 (+.f64 1 (-.f64 (log.f64 z) z)) 2)) (/.f64 (/.f64 1 y) (+.f64 1 (-.f64 (log.f64 z) z))))))
(fma.f64 -1/8 (/.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 4)) (pow.f64 (+.f64 (log.f64 z) (-.f64 1 z)) 4)) (fma.f64 1/4 (.f64 (/.f64 x (pow.f64 y 3)) (/.f64 x (pow.f64 (+.f64 (log.f64 z) (-.f64 1 z)) 3))) (fma.f64 -1/2 (/.f64 (/.f64 x (.f64 y y)) (pow.f64 (+.f64 (log.f64 z) (-.f64 1 z)) 2)) (/.f64 (/.f64 1 y) (+.f64 (log.f64 z) (-.f64 1 z))))))
(/.f64 2 x)
(+.f64 (.f64 2 (/.f64 1 x)) (.f64 -4 (/.f64 (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)) (pow.f64 x 2))))
(+.f64 (/.f64 2 x) (.f64 -4 (/.f64 y (/.f64 (.f64 x x) (+.f64 1 (-.f64 (log.f64 z) z))))))
(fma.f64 -4 (.f64 (/.f64 y (.f64 x x)) (+.f64 (log.f64 z) (-.f64 1 z))) (/.f64 2 x))
(+.f64 (.f64 8 (/.f64 (.f64 (pow.f64 y 2) (pow.f64 (-.f64 (+.f64 1 (log.f64 z)) z) 2)) (pow.f64 x 3))) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 -4 (/.f64 (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)) (pow.f64 x 2)))))
(fma.f64 8 (/.f64 (.f64 y y) (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (-.f64 (log.f64 z) z)) 2))) (+.f64 (/.f64 2 x) (.f64 -4 (/.f64 y (/.f64 (*.f64 x x) (+.f64 1 (-.f64 (log.f64 z) z)))))))
(fma.f64 8 (.f64 (/.f64 (.f64 y y) (pow.f64 x 3)) (pow.f64 (+.f64 (log.f64 z) (-.f64 1 z)) 2)) (fma.f64 -4 (.f64 (/.f64 y (.f64 x x)) (+.f64 (log.f64 z) (-.f64 1 z))) (/.f64 2 x)))
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(fma.f64 8 (/.f64 (.f64 y y) (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (-.f64 (log.f64 z) z)) 2))) (+.f64 (/.f64 2 x) (fma.f64 -4 (/.f64 y (/.f64 (.f64 x x) (+.f64 1 (-.f64 (log.f64 z) z)))) (*.f64 -16 (/.f64 (pow.f64 y 3) (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 1 (-.f64 (log.f64 z) z)) 3)))))))
(+.f64 (fma.f64 8 (.f64 (/.f64 (.f64 y y) (pow.f64 x 3)) (pow.f64 (+.f64 (log.f64 z) (-.f64 1 z)) 2)) (fma.f64 -4 (.f64 (/.f64 y (.f64 x x)) (+.f64 (log.f64 z) (-.f64 1 z))) (/.f64 2 x))) (/.f64 (.f64 (.f64 -16 (pow.f64 y 3)) (pow.f64 (+.f64 (log.f64 z) (-.f64 1 z)) 3)) (pow.f64 x 4)))
(/.f64 2 x)
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(fma.f64 -4 (.f64 (/.f64 y (.f64 x x)) (+.f64 (log.f64 z) (-.f64 1 z))) (/.f64 2 x))
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(fma.f64 8 (/.f64 (.f64 y y) (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (-.f64 (log.f64 z) z)) 2))) (+.f64 (/.f64 2 x) (.f64 -4 (/.f64 y (/.f64 (*.f64 x x) (+.f64 1 (-.f64 (log.f64 z) z)))))))
(fma.f64 8 (.f64 (/.f64 (.f64 y y) (pow.f64 x 3)) (pow.f64 (+.f64 (log.f64 z) (-.f64 1 z)) 2)) (fma.f64 -4 (.f64 (/.f64 y (.f64 x x)) (+.f64 (log.f64 z) (-.f64 1 z))) (/.f64 2 x)))
(+.f64 (.f64 8 (/.f64 (.f64 (pow.f64 y 2) (pow.f64 (-.f64 (+.f64 1 (log.f64 z)) z) 2)) (pow.f64 x 3))) (+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 -4 (/.f64 (.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)) (pow.f64 x 2))) (.f64 -16 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 (-.f64 (+.f64 1 (log.f64 z)) z) 3)) (pow.f64 x 4))))))
(fma.f64 8 (/.f64 (.f64 y y) (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (-.f64 (log.f64 z) z)) 2))) (+.f64 (/.f64 2 x) (fma.f64 -4 (/.f64 y (/.f64 (.f64 x x) (+.f64 1 (-.f64 (log.f64 z) z)))) (*.f64 -16 (/.f64 (pow.f64 y 3) (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 1 (-.f64 (log.f64 z) z)) 3)))))))
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(/.f64 2 x)
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(-.f64 (+.f64 (.f64 2 (.f64 y (+.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 z))))))) (+.f64 (/.f64 (.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 (pow.f64 y 2) (pow.f64 (+.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 z))))) 2))) y)) (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 2 (.f64 y (+.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 z))))))) (.f64 -1 (+.f64 (.f64 1/2 x) (.f64 -1 (.f64 y (+.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 z)))))))))) (+.f64 (.f64 1/2 x) (.f64 -1 (.f64 y (+.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 z))))))))) y))) (+.f64 (.f64 1/2 x) (.f64 -1 (.f64 y (+.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 z))))))))) (.f64 y (pow.f64 z 2))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 (pow.f64 y 2) (pow.f64 (+.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 z))))) 2))) y)) (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 2 (.f64 y (+.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 z))))))) (.f64 -1 (+.f64 (.f64 1/2 x) (.f64 -1 (.f64 y (+.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 z)))))))))) (+.f64 (.f64 1/2 x) (.f64 -1 (.f64 y (+.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 z))))))))) y))) z)) (.f64 -1 (.f64 y z))))) (.f64 -1 (+.f64 (.f64 1/2 x) (.f64 -1 (.f64 y (+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z))))))))))
(-.f64 (fma.f64 2 (.f64 y (+.f64 (+.f64 1 (log.f64 -1)) (neg.f64 (log.f64 (/.f64 -1 z))))) (+.f64 (fma.f64 -1 (/.f64 (.f64 -1 (-.f64 (/.f64 (-.f64 (.f64 1/4 (.f64 x x)) (.f64 (.f64 y y) (pow.f64 (+.f64 (+.f64 1 (log.f64 -1)) (neg.f64 (log.f64 (/.f64 -1 z)))) 2))) y) (/.f64 (-.f64 (.f64 (.f64 2 y) (+.f64 (+.f64 1 (log.f64 -1)) (neg.f64 (log.f64 (/.f64 -1 z))))) (neg.f64 (fma.f64 1/2 x (neg.f64 (.f64 y (+.f64 (+.f64 1 (log.f64 -1)) (neg.f64 (log.f64 (/.f64 -1 z))))))))) (/.f64 y (fma.f64 1/2 x (neg.f64 (.f64 y (+.f64 (+.f64 1 (log.f64 -1)) (neg.f64 (log.f64 (/.f64 -1 z))))))))))) z) (neg.f64 (.f64 y z))) (/.f64 (.f64 -1 (-.f64 (/.f64 (-.f64 (.f64 1/4 (.f64 x x)) (.f64 (.f64 y y) (pow.f64 (+.f64 (+.f64 1 (log.f64 -1)) (neg.f64 (log.f64 (/.f64 -1 z)))) 2))) y) (/.f64 (-.f64 (.f64 (.f64 2 y) (+.f64 (+.f64 1 (log.f64 -1)) (neg.f64 (log.f64 (/.f64 -1 z))))) (neg.f64 (fma.f64 1/2 x (neg.f64 (.f64 y (+.f64 (+.f64 1 (log.f64 -1)) (neg.f64 (log.f64 (/.f64 -1 z))))))))) (/.f64 y (fma.f64 1/2 x (neg.f64 (.f64 y (+.f64 (+.f64 1 (log.f64 -1)) (neg.f64 (log.f64 (/.f64 -1 z))))))))))) (/.f64 (.f64 y (.f64 z z)) (fma.f64 1/2 x (neg.f64 (.f64 y (+.f64 (+.f64 1 (log.f64 -1)) (neg.f64 (log.f64 (/.f64 -1 z))))))))))) (neg.f64 (fma.f64 1/2 x (neg.f64 (.f64 y (+.f64 (+.f64 1 (log.f64 -1)) (neg.f64 (log.f64 (/.f64 -1 z)))))))))
(+.f64 (-.f64 (-.f64 (/.f64 (fma.f64 -1 (/.f64 (-.f64 (.f64 x (.f64 x 1/4)) (.f64 y (.f64 y (pow.f64 (+.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z)))) 2)))) y) (.f64 (/.f64 (fma.f64 2 (+.f64 y (.f64 y (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z))))) (-.f64 (.f64 x 1/2) (+.f64 y (.f64 y (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z))))))) y) (-.f64 (.f64 x 1/2) (+.f64 y (.f64 y (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z)))))))) (/.f64 y (/.f64 (-.f64 (.f64 x 1/2) (+.f64 y (.f64 y (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z)))))) (.f64 z z)))) (/.f64 (fma.f64 -1 (/.f64 (-.f64 (.f64 x (.f64 x 1/4)) (.f64 y (.f64 y (pow.f64 (+.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z)))) 2)))) y) (.f64 (/.f64 (fma.f64 2 (+.f64 y (.f64 y (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z))))) (-.f64 (.f64 x 1/2) (+.f64 y (.f64 y (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z))))))) y) (-.f64 (.f64 x 1/2) (+.f64 y (.f64 y (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z)))))))) z)) (.f64 y z)) (fma.f64 2 (+.f64 y (.f64 y (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z))))) (-.f64 (.f64 x 1/2) (+.f64 y (*.f64 y (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z))))))))
(+.f64 (fma.f64 (/.f64 (-.f64 (.f64 (/.f64 (-.f64 (fma.f64 y (+.f64 2 (.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z))) 2)) (.f64 x 1/2)) (+.f64 y (.f64 y (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z)))))) y) (-.f64 (.f64 x 1/2) (+.f64 y (.f64 y (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z))))))) (/.f64 (-.f64 (.f64 x (.f64 x 1/4)) (.f64 y (.f64 y (pow.f64 (+.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z)))) 2)))) y)) y) (/.f64 (-.f64 (.f64 x 1/2) (+.f64 y (.f64 y (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z)))))) (.f64 z z)) (-.f64 (/.f64 (+.f64 (/.f64 (-.f64 (.f64 x (.f64 x 1/4)) (.f64 y (.f64 y (pow.f64 (+.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z)))) 2)))) y) (/.f64 (+.f64 (+.f64 y (.f64 y (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z))))) (.f64 -1/2 x)) (/.f64 y (-.f64 (fma.f64 y (+.f64 2 (.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z))) 2)) (.f64 x 1/2)) (+.f64 y (.f64 y (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z))))))))) z) (.f64 y z))) (-.f64 (fma.f64 y (+.f64 2 (.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z))) 2)) (.f64 x 1/2)) (+.f64 y (.f64 y (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z)))))))

eval1.1s (8.1%)

Compiler: Compiled 23004 to 14805 computations (35.6% saved)

prune170.0ms (1.2%)

Pruning

22 alts after pruning (19 fresh and 3 done)

	Pruned	Kept	Total
New	737	18	755
Fresh	11	1	12
Picked	1	0	1
Done	2	3	5
Total	751	22	773

Error

Counts

773 → 22

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(+.f64 (.f64 x 1/2) (fma.f64 (-.f64 1 z) y (.f64 y (log.f64 z))))
	27.3b	(/.f64 1 (/.f64 (/.f64 1 y) (+.f64 (log.f64 z) (-.f64 1 z))))
	26.9b	(+.f64 (.f64 x 1/2) (.f64 y (+.f64 (.f64 2 (.f64 1/3 (-.f64 1 z))) (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 1 z))) z)))))
	27.3b	(/.f64 1 (/.f64 1 (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))))
✓	0.1b	(+.f64 (.f64 x 1/2) (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))
	31.2b	(+.f64 (.f64 x 1/2) (pow.f64 (sqrt.f64 (.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y)) 2))
✓	35.9b	(*.f64 1/2 x)
	0.1b	(-.f64 (fma.f64 y (+.f64 2 (.f64 2 (log.f64 z))) (fma.f64 (-.f64 -1 (log.f64 z)) y (.f64 x 1/2))) (*.f64 y z))
▶	27.2b	(*.f64 y (+.f64 (log.f64 z) (-.f64 1 z)))
▶	0.8b	(+.f64 (.f64 x 1/2) (pow.f64 (cbrt.f64 (.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y)) 3))
▶	45.5b	(*.f64 z (neg.f64 y))
▶	0.3b	(+.f64 (.f64 x 1/2) (.f64 y (.f64 1/3 (.f64 3 (+.f64 (-.f64 1 z) (log.f64 z))))))
	45.5b	(/.f64 1 (/.f64 -1 (*.f64 y z)))
	36.0b	(/.f64 1 (/.f64 2 x))
▶	0.1b	(+.f64 (+.f64 (.f64 x 1/2) (.f64 y (-.f64 1 z))) (*.f64 y (log.f64 z)))
	0.2b	(+.f64 (.f64 x 1/2) (.f64 y (.f64 3 (.f64 1/3 (+.f64 (-.f64 1 z) (log.f64 z))))))
	17.8b	(+.f64 (.f64 y (log.f64 z)) (+.f64 (.f64 1/2 x) y))
	19.1b	(+.f64 (.f64 x 1/2) (.f64 z (neg.f64 y)))
	40.8b	(fma.f64 (.f64 (+.f64 1 (log.f64 z)) (sqrt.f64 y)) (sqrt.f64 y) (.f64 x 1/2))
	27.6b	(+.f64 (.f64 x 1/2) (cbrt.f64 (pow.f64 (.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y) 3)))
	33.1b	(+.f64 (.f64 x 1/2) (fma.f64 (.f64 (log.f64 z) (sqrt.f64 y)) (sqrt.f64 y) (*.f64 y (-.f64 1 z))))
	0.1b	(+.f64 (.f64 x 1/2) (.f64 y (-.f64 (log.f64 (*.f64 (E.f64) z)) z)))

Compiler

Compiled 635 to 475 computations (25.2% saved)

localize21.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 48 to 27 computations (43.8% saved)

series6.0ms (0%)

Counts

2 → 48

Calls

15 calls:

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

rewrite83.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

768×	`fma-def_binary64`
683×	`log-prod_binary64`
352×	`fma-neg_binary64`
253×	`expm1-udef_binary64`
252×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	26
1	282	23
2	3931	23

Stop Event

1×	node limit

Counts

2 → 141

Calls

Call 1

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

Outputs

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

simplify116.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

917×	`unsub-neg_binary64`
701×	`fma-def_binary64`
434×	`sub-neg_binary64`
412×	`distribute-neg-in_binary64`
274×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	48	615
1	147	579
2	404	579
3	1169	519
4	3216	519
5	5328	519
6	6669	519
7	7477	519
8	7889	519

Stop Event

1×	node limit

Counts

189 → 161

Calls

Call 1

Inputs
(+.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))))
(*.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))))))))
y
(+.f64 (.f64 -1 (.f64 y z)) y)
(+.f64 (.f64 -1 (.f64 y z)) y)
(+.f64 (.f64 -1 (.f64 y z)) y)
(.f64 -1 (.f64 y z))
(+.f64 y (.f64 -1 (.f64 y z)))
(+.f64 y (.f64 -1 (.f64 y z)))
(+.f64 y (.f64 -1 (.f64 y z)))
(.f64 -1 (.f64 y z))
(+.f64 y (.f64 -1 (.f64 y z)))
(+.f64 y (.f64 -1 (.f64 y z)))
(+.f64 y (.f64 -1 (.f64 y z)))

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

localize6.0ms (0%)

Compiler: Compiled 11 to 5 computations (54.5% saved)

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 25 to 14 computations (44% saved)

series3.0ms (0%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	y	@	0	(*.f64 y (+.f64 (log.f64 z) (-.f64 1 z)))
0.0ms	z	@	inf	(*.f64 y (+.f64 (log.f64 z) (-.f64 1 z)))
0.0ms	z	@	-inf	(*.f64 y (+.f64 (log.f64 z) (-.f64 1 z)))
0.0ms	z	@	inf	(+.f64 (log.f64 z) (-.f64 1 z))
0.0ms	y	@	inf	(*.f64 y (+.f64 (log.f64 z) (-.f64 1 z)))

rewrite74.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

881×	`prod-diff_binary64`
425×	`log-prod_binary64`
337×	`fma-def_binary64`
332×	`pow-prod-down_binary64`
239×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	21
1	177	21
2	2577	21

Stop Event

1×	node limit

Counts

2 → 120

Calls

Call 1

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

Outputs

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

simplify156.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

2582×	`fma-neg_binary64`
835×	`fma-def_binary64`
602×	`unsub-neg_binary64`
386×	`sub-neg_binary64`
249×	`distribute-neg-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	32	366
1	91	366
2	241	364
3	696	322
4	1772	322
5	4588	322
6	6232	322
7	6956	322
8	7061	322
9	7089	322
10	7093	322
11	7101	322
12	7101	322

Stop Event

1×	node limit

Counts

156 → 136

Calls

Call 1

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

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

localize32.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (-.f64 1 z) (log.f64 z))
✓	0.2b	(.f64 y (.f64 1/3 (*.f64 3 (+.f64 (-.f64 1 z) (log.f64 z)))))
✓	0.2b	(*.f64 3 (+.f64 (-.f64 1 z) (log.f64 z)))
✓	0.4b	(.f64 1/3 (.f64 3 (+.f64 (-.f64 1 z) (log.f64 z))))

Compiler

Compiled 70 to 46 computations (34.3% saved)

series4.0ms (0%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	z	@	inf	(*.f64 3 (+.f64 (-.f64 1 z) (log.f64 z)))
0.0ms	z	@	-inf	(*.f64 3 (+.f64 (-.f64 1 z) (log.f64 z)))
0.0ms	z	@	0	(*.f64 3 (+.f64 (-.f64 1 z) (log.f64 z)))
0.0ms	z	@	0	(.f64 1/3 (.f64 3 (+.f64 (-.f64 1 z) (log.f64 z))))
0.0ms	z	@	inf	(.f64 1/3 (.f64 3 (+.f64 (-.f64 1 z) (log.f64 z))))

rewrite83.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

937×	`prod-diff_binary64`
562×	`log-prod_binary64`
344×	`fma-def_binary64`
302×	`pow2_binary64`
208×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	33
1	264	33
2	3278	33

Stop Event

1×	node limit

Counts

3 → 139

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 3 (+.f64 (-.f64 1 z) (log.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 3 (-.f64 1 z)) (*.f64 3 (log.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 3 (log.f64 z)) (*.f64 3 (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 3 (-.f64 1 z)) 1) (*.f64 (*.f64 3 (log.f64 z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (*.f64 z (exp.f64 (-.f64 1 z))) 2)) (+.f64 (-.f64 1 z) (log.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (*.f64 z (exp.f64 (-.f64 1 z))) 3))) (log.f64 (sqrt.f64 (pow.f64 (*.f64 z (exp.f64 (-.f64 1 z))) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 3 (+.f64 (-.f64 1 z) (log.f64 z))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 3 (-.f64 1 z)) 3) (pow.f64 (*.f64 3 (log.f64 z)) 3)) (+.f64 (pow.f64 (*.f64 3 (-.f64 1 z)) 2) (-.f64 (pow.f64 (*.f64 3 (log.f64 z)) 2) (*.f64 (*.f64 3 (-.f64 1 z)) (*.f64 3 (log.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 3 (-.f64 1 z)) 2) (pow.f64 (*.f64 3 (log.f64 z)) 2)) (-.f64 (*.f64 3 (-.f64 1 z)) (*.f64 3 (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)) 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 (-.f64 (pow.f64 (-.f64 1 z) 2) (pow.f64 (log.f64 z) 2)) 3) (-.f64 1 (+.f64 z (log.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 3 (+.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 3 (-.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 3 (+.f64 (-.f64 1 z) (log.f64 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 3 (+.f64 (-.f64 1 z) (log.f64 z))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 3 (+.f64 (-.f64 1 z) (log.f64 z)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 3 (+.f64 (-.f64 1 z) (log.f64 z)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 9 (pow.f64 (+.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))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 3 (+.f64 (-.f64 1 z) (log.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 z 3) (exp.f64 (*.f64 3 (-.f64 1 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 3 (+.f64 (-.f64 1 z) (log.f64 z))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 3 (+.f64 (-.f64 1 z) (log.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 3 (+.f64 (-.f64 1 z) (log.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 3) (log1p.f64 (fma.f64 -1 z (log.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (log.f64 3) (log1p.f64 (fma.f64 -1 z (log.f64 z)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3 (-.f64 1 z) (*.f64 3 (log.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3 (log.f64 z) (*.f64 3 (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 3 (-.f64 1 z)) (*.f64 3 (log.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 3 (log.f64 z)) (*.f64 3 (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 z) 3 (*.f64 3 (log.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log.f64 z) 3 (*.f64 3 (-.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)) 3) (*.f64 3 (log.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log.f64 z)) 2) (*.f64 (cbrt.f64 (log.f64 z)) 3) (*.f64 3 (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 1 z)) (*.f64 (sqrt.f64 (-.f64 1 z)) 3) (*.f64 3 (log.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 z)) (*.f64 (sqrt.f64 (log.f64 z)) 3) (*.f64 3 (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3 (-.f64 1 z)) 1 (*.f64 (*.f64 3 (log.f64 z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 3 (log.f64 z))) 2) (cbrt.f64 (*.f64 3 (log.f64 z))) (*.f64 3 (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 3 (-.f64 1 z))) 2) (cbrt.f64 (*.f64 3 (-.f64 1 z))) (*.f64 3 (log.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 3 (log.f64 z))) (sqrt.f64 (*.f64 3 (log.f64 z))) (*.f64 3 (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 3 (-.f64 1 z))) (sqrt.f64 (*.f64 3 (-.f64 1 z))) (*.f64 3 (log.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3 (cbrt.f64 (pow.f64 (-.f64 1 z) 2))) (cbrt.f64 (-.f64 1 z)) (*.f64 3 (log.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3 (sqrt.f64 (-.f64 1 z))) (sqrt.f64 (-.f64 1 z)) (*.f64 3 (log.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3 (pow.f64 (cbrt.f64 (log.f64 z)) 2)) (cbrt.f64 (log.f64 z)) (*.f64 3 (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3 (sqrt.f64 (log.f64 z))) (sqrt.f64 (log.f64 z)) (*.f64 3 (-.f64 1 z)))))))

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

simplify192.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

757×	`unsub-neg_binary64`
522×	`sub-neg_binary64`
460×	`fma-def_binary64`
368×	`distribute-neg-in_binary64`
356×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	41	500
1	124	500
2	331	478
3	923	427
4	2156	427
5	4744	427
6	6540	427
7	7586	427
8	7976	427

Stop Event

1×	node limit

Counts

187 → 163

Calls

Call 1

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

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

localize31.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (-.f64 1 z) (log.f64 z))
✓	0.2b	(*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y)
✓	0.6b	(cbrt.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y))
✓	0.8b	(pow.f64 (cbrt.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y)) 3)

Compiler

Compiled 66 to 40 computations (39.4% saved)

series17.0ms (0.1%)

Counts

3 → 32

Calls

18 calls:

Time	Variable		Point	Expression
4.0ms	z	@	0	(pow.f64 (cbrt.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y)) 3)
2.0ms	z	@	-inf	(*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y)
2.0ms	y	@	-inf	(pow.f64 (cbrt.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y)) 3)
1.0ms	z	@	inf	(pow.f64 (cbrt.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y)) 3)
1.0ms	y	@	inf	(pow.f64 (cbrt.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y)) 3)

rewrite83.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

854×	`prod-diff_binary64`
477×	`log-prod_binary64`
352×	`pow-prod-down_binary64`
311×	`fma-def_binary64`
270×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	38
1	239	38
2	2877	38

Stop Event

1×	node limit

Counts

3 → 107

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 1 z) y) (*.f64 (log.f64 z) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 z) y) (*.f64 (-.f64 1 z) y))))) (#(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 y (log.f64 z)) (*.f64 y (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 z (exp.f64 (-.f64 1 z))) y)) 2)) (log.f64 (cbrt.f64 (pow.f64 (*.f64 z (exp.f64 (-.f64 1 z))) y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (*.f64 z (exp.f64 (-.f64 1 z))) y))) (log.f64 (sqrt.f64 (pow.f64 (*.f64 z (exp.f64 (-.f64 1 z))) y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y)) (pow.f64 (cbrt.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y)) 2) (cbrt.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (-.f64 1 z) (log.f64 z))) (*.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (-.f64 1 z) (log.f64 z))) 2) (*.f64 (cbrt.f64 (+.f64 (-.f64 1 z) (log.f64 z))) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (+.f64 (-.f64 1 z) (log.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y)) (sqrt.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y) 1/6) (*.f64 (pow.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y) 1/6) (pow.f64 (cbrt.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (-.f64 1 z) (log.f64 z))) (*.f64 (sqrt.f64 (+.f64 (-.f64 1 z) (log.f64 z))) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (+.f64 (-.f64 1 z) (log.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (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 (*.f64 y (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 (cbrt.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y)) 2) 1) (cbrt.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (cbrt.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y)) (cbrt.f64 (cbrt.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y)))) 2) (cbrt.f64 (cbrt.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y)) 2) (cbrt.f64 (+.f64 (-.f64 1 z) (log.f64 z)))) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y)) 2) (pow.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y) 1/6)) (pow.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y) 1/6))))) (#(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 (-.f64 1 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 (-.f64 1 z) (log.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y) 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 (+.f64 (-.f64 1 z) (log.f64 z)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log1p.f64 (fma.f64 -1 z (log.f64 z))) (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (log1p.f64 (fma.f64 -1 z (log.f64 z))) (log.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 z) y (*.f64 (log.f64 z) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log.f64 z) y (*.f64 (-.f64 1 z) y))))) (#(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 +.f64 0 (cbrt.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y))) 2) (cbrt.f64 (cbrt.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (-.f64 1 z) (log.f64 z))) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 y) (cbrt.f64 (+.f64 (-.f64 1 z) (log.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y) 1/6) (pow.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y) 2) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y) 3) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y))) 2) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y)) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (log1p.f64 (fma.f64 -1 z (log.f64 z))) (log.f64 y)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 1 z) y) (*.f64 (log.f64 z) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 z) y) (*.f64 (-.f64 1 z) y))))) (#(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 y (log.f64 z)) (*.f64 y (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 z (exp.f64 (-.f64 1 z))) y)) 2)) (log.f64 (cbrt.f64 (pow.f64 (*.f64 z (exp.f64 (-.f64 1 z))) y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (*.f64 z (exp.f64 (-.f64 1 z))) y))) (log.f64 (sqrt.f64 (pow.f64 (*.f64 z (exp.f64 (-.f64 1 z))) y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y))) 1)))) (#(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 (-.f64 1 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 (-.f64 1 z) (log.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y)) 2) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y))) 9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y) 1/6) 6)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y) 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 (+.f64 (-.f64 1 z) (log.f64 z)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log1p.f64 (fma.f64 -1 z (log.f64 z))) (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (log1p.f64 (fma.f64 -1 z (log.f64 z))) (log.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 z) y (*.f64 (log.f64 z) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log.f64 z) y (*.f64 (-.f64 1 z) y))))) (#(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)))))))

simplify70.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

663×	`fma-def_binary64`
546×	`associate-/l*_binary64`
365×	`associate-/r/_binary64`
305×	`*-commutative_binary64`
305×	`associate-/l/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	135	1318
1	452	1208
2	1473	1119
3	5241	1111

Stop Event

1×	node limit

Counts

139 → 107

Calls

Call 1

Inputs
(.f64 (.f64 (+.f64 1 (log.f64 z)) y) (pow.f64 1 1/3))
(+.f64 (.f64 (+.f64 (.f64 -2/3 (pow.f64 (.f64 (pow.f64 (+.f64 1 (log.f64 z)) 4) (.f64 1 (pow.f64 y 13))) 1/9)) (.f64 -1/3 (pow.f64 (.f64 (pow.f64 (+.f64 1 (log.f64 z)) 4) (.f64 1 (pow.f64 y 13))) 1/9))) z) (.f64 (*.f64 (+.f64 1 (log.f64 z)) y) (pow.f64 1 1/3)))
(+.f64 (.f64 (+.f64 (.f64 -2/3 (pow.f64 (.f64 (pow.f64 (+.f64 1 (log.f64 z)) 4) (.f64 1 (pow.f64 y 13))) 1/9)) (.f64 -1/3 (pow.f64 (.f64 (pow.f64 (+.f64 1 (log.f64 z)) 4) (.f64 1 (pow.f64 y 13))) 1/9))) z) (+.f64 (.f64 (+.f64 (.f64 (pow.f64 (.f64 (+.f64 1 (log.f64 z)) (.f64 1 y)) 1/3) (+.f64 (.f64 -2/9 (pow.f64 (/.f64 (.f64 1 (pow.f64 y 14)) (pow.f64 (+.f64 1 (log.f64 z)) 4)) 1/9)) (.f64 1/9 (pow.f64 (/.f64 (.f64 1 (pow.f64 y 14)) (pow.f64 (+.f64 1 (log.f64 z)) 4)) 1/9)))) (+.f64 (.f64 -1/9 (pow.f64 (/.f64 (.f64 1 (pow.f64 y 17)) (+.f64 1 (log.f64 z))) 1/9)) (.f64 2/9 (pow.f64 (/.f64 (.f64 1 (pow.f64 y 17)) (+.f64 1 (log.f64 z))) 1/9)))) (pow.f64 z 2)) (.f64 (*.f64 (+.f64 1 (log.f64 z)) y) (pow.f64 1 1/3))))
(+.f64 (.f64 (+.f64 (.f64 2/27 (.f64 (pow.f64 (/.f64 (pow.f64 y 7) (pow.f64 (+.f64 1 (log.f64 z)) 2)) 1/3) (pow.f64 (pow.f64 1 4) 1/9))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) (+.f64 (.f64 -1/27 (pow.f64 (/.f64 (.f64 1 (pow.f64 y 7)) (pow.f64 (+.f64 1 (log.f64 z)) 2)) 1/3)) (.f64 2/9 (.f64 (pow.f64 (/.f64 (pow.f64 y 7) (pow.f64 (+.f64 1 (log.f64 z)) 2)) 1/3) (pow.f64 (pow.f64 1 4) 1/9)))))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 (.f64 1 (pow.f64 y 7)) (pow.f64 (+.f64 1 (log.f64 z)) 2)) 1/9) (+.f64 (.f64 -2/9 (pow.f64 (/.f64 (.f64 1 (pow.f64 y 14)) (pow.f64 (+.f64 1 (log.f64 z)) 4)) 1/9)) (.f64 1/9 (pow.f64 (/.f64 (.f64 1 (pow.f64 y 14)) (pow.f64 (+.f64 1 (log.f64 z)) 4)) 1/9))))) (.f64 (pow.f64 (.f64 (+.f64 1 (log.f64 z)) (.f64 1 y)) 1/3) (+.f64 (.f64 2/27 (.f64 (/.f64 (pow.f64 y 2) (+.f64 1 (log.f64 z))) (pow.f64 1 1/9))) (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (.f64 (+.f64 1 (log.f64 z)) y)) 1/3) (+.f64 (.f64 -1/27 (pow.f64 (/.f64 (.f64 1 (pow.f64 y 7)) (pow.f64 (+.f64 1 (log.f64 z)) 2)) 1/3)) (.f64 2/9 (.f64 (pow.f64 (/.f64 (pow.f64 y 7) (pow.f64 (+.f64 1 (log.f64 z)) 2)) 1/3) (pow.f64 (pow.f64 1 4) 1/9))))))))))) (pow.f64 z 3)) (+.f64 (.f64 (+.f64 (.f64 -2/3 (pow.f64 (.f64 (pow.f64 (+.f64 1 (log.f64 z)) 4) (.f64 1 (pow.f64 y 13))) 1/9)) (.f64 -1/3 (pow.f64 (.f64 (pow.f64 (+.f64 1 (log.f64 z)) 4) (.f64 1 (pow.f64 y 13))) 1/9))) z) (+.f64 (.f64 (+.f64 (.f64 (pow.f64 (.f64 (+.f64 1 (log.f64 z)) (.f64 1 y)) 1/3) (+.f64 (.f64 -2/9 (pow.f64 (/.f64 (.f64 1 (pow.f64 y 14)) (pow.f64 (+.f64 1 (log.f64 z)) 4)) 1/9)) (.f64 1/9 (pow.f64 (/.f64 (.f64 1 (pow.f64 y 14)) (pow.f64 (+.f64 1 (log.f64 z)) 4)) 1/9)))) (+.f64 (.f64 -1/9 (pow.f64 (/.f64 (.f64 1 (pow.f64 y 17)) (+.f64 1 (log.f64 z))) 1/9)) (.f64 2/9 (pow.f64 (/.f64 (.f64 1 (pow.f64 y 17)) (+.f64 1 (log.f64 z))) 1/9)))) (pow.f64 z 2)) (.f64 (*.f64 (+.f64 1 (log.f64 z)) y) (pow.f64 1 1/3)))))
(pow.f64 (*.f64 (+.f64 1 (log.f64 z)) y) 1/3)
(+.f64 (pow.f64 (.f64 (+.f64 1 (log.f64 z)) y) 1/3) (.f64 -1/3 (.f64 (pow.f64 (/.f64 (.f64 1 (pow.f64 y 7)) (pow.f64 (+.f64 1 (log.f64 z)) 2)) 1/9) z)))
(+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 (.f64 1 (pow.f64 y 11)) (pow.f64 (+.f64 1 (log.f64 z)) 7)) 1/9) (pow.f64 z 2))) (+.f64 (pow.f64 (.f64 (+.f64 1 (log.f64 z)) y) 1/3) (.f64 -1/3 (.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 y 7)) (pow.f64 (+.f64 1 (log.f64 z)) 2)) 1/9) z))))
(+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 (.f64 1 (pow.f64 y 11)) (pow.f64 (+.f64 1 (log.f64 z)) 7)) 1/9) (pow.f64 z 2))) (+.f64 (pow.f64 (.f64 (+.f64 1 (log.f64 z)) y) 1/3) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (log.f64 z)) 2) (pow.f64 y 2))) 1/3) (.f64 (+.f64 (.f64 -1/27 (pow.f64 (/.f64 (.f64 1 (pow.f64 y 7)) (pow.f64 (+.f64 1 (log.f64 z)) 2)) 1/3)) (.f64 2/9 (.f64 (pow.f64 (/.f64 (pow.f64 y 7) (pow.f64 (+.f64 1 (log.f64 z)) 2)) 1/3) (pow.f64 (pow.f64 1 4) 1/9)))) (pow.f64 z 3)))) (.f64 -1/3 (.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 y 7)) (pow.f64 (+.f64 1 (log.f64 z)) 2)) 1/9) 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 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))

Outputs
(.f64 (.f64 (+.f64 1 (log.f64 z)) y) (pow.f64 1 1/3))
(*.f64 (+.f64 1 (log.f64 z)) y)
(+.f64 y (*.f64 (log.f64 z) y))
(fma.f64 (log.f64 z) y y)
(+.f64 (.f64 (+.f64 (.f64 -2/3 (pow.f64 (.f64 (pow.f64 (+.f64 1 (log.f64 z)) 4) (.f64 1 (pow.f64 y 13))) 1/9)) (.f64 -1/3 (pow.f64 (.f64 (pow.f64 (+.f64 1 (log.f64 z)) 4) (.f64 1 (pow.f64 y 13))) 1/9))) z) (.f64 (*.f64 (+.f64 1 (log.f64 z)) y) (pow.f64 1 1/3)))
(fma.f64 (.f64 (.f64 (pow.f64 (.f64 (pow.f64 (+.f64 1 (log.f64 z)) 4) (pow.f64 y 13)) 1/18) (pow.f64 (.f64 (pow.f64 (+.f64 1 (log.f64 z)) 4) (pow.f64 y 13)) 1/18)) -1) z (*.f64 (+.f64 1 (log.f64 z)) y))
(fma.f64 (+.f64 1 (log.f64 z)) y (.f64 (.f64 (pow.f64 (.f64 (pow.f64 (+.f64 1 (log.f64 z)) 4) (pow.f64 y 13)) 1/18) (pow.f64 (.f64 (pow.f64 (+.f64 1 (log.f64 z)) 4) (pow.f64 y 13)) 1/18)) (neg.f64 z)))
(fma.f64 z (neg.f64 (.f64 (pow.f64 (.f64 (pow.f64 (+.f64 1 (log.f64 z)) 4) (pow.f64 y 13)) 1/18) (pow.f64 (*.f64 (pow.f64 (+.f64 1 (log.f64 z)) 4) (pow.f64 y 13)) 1/18))) (fma.f64 (log.f64 z) y y))
(-.f64 (fma.f64 (log.f64 z) y y) (.f64 z (.f64 (pow.f64 (.f64 (pow.f64 (+.f64 1 (log.f64 z)) 4) (pow.f64 y 13)) 1/18) (pow.f64 (.f64 (pow.f64 (+.f64 1 (log.f64 z)) 4) (pow.f64 y 13)) 1/18))))
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(fma.f64 z (.f64 (pow.f64 (/.f64 (pow.f64 y 7) (pow.f64 (+.f64 1 (log.f64 z)) 2)) 1/18) (.f64 -1/3 (pow.f64 (/.f64 (pow.f64 y 7) (pow.f64 (+.f64 1 (log.f64 z)) 2)) 1/18))) (fma.f64 -1/9 (.f64 z (.f64 z (*.f64 (pow.f64 (/.f64 (pow.f64 y 11) (pow.f64 (+.f64 1 (log.f64 z)) 7)) 1/18) (pow.f64 (/.f64 (pow.f64 y 11) (pow.f64 (+.f64 1 (log.f64 z)) 7)) 1/18)))) (cbrt.f64 (fma.f64 (log.f64 z) y y))))
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(fma.f64 -1/9 (.f64 (.f64 z z) (.f64 (pow.f64 (/.f64 (pow.f64 y 11) (pow.f64 (+.f64 1 (log.f64 z)) 7)) 1/18) (pow.f64 (/.f64 (pow.f64 y 11) (pow.f64 (+.f64 1 (log.f64 z)) 7)) 1/18))) (+.f64 (cbrt.f64 (.f64 (+.f64 1 (log.f64 z)) y)) (.f64 -1/3 (+.f64 (.f64 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (log.f64 z)) 2) (.f64 y y)))) (.f64 (fma.f64 -1/27 (cbrt.f64 (/.f64 (pow.f64 y 7) (pow.f64 (+.f64 1 (log.f64 z)) 2))) (.f64 2/9 (.f64 1 (cbrt.f64 (/.f64 (pow.f64 y 7) (pow.f64 (+.f64 1 (log.f64 z)) 2)))))) (pow.f64 z 3))) (.f64 z (*.f64 (pow.f64 (/.f64 (pow.f64 y 7) (pow.f64 (+.f64 1 (log.f64 z)) 2)) 1/18) (pow.f64 (/.f64 (pow.f64 y 7) (pow.f64 (+.f64 1 (log.f64 z)) 2)) 1/18)))))))
(fma.f64 -1/9 (.f64 z (.f64 z (.f64 (pow.f64 (/.f64 (pow.f64 y 11) (pow.f64 (+.f64 1 (log.f64 z)) 7)) 1/18) (pow.f64 (/.f64 (pow.f64 y 11) (pow.f64 (+.f64 1 (log.f64 z)) 7)) 1/18)))) (fma.f64 -1/3 (fma.f64 (.f64 (fma.f64 2/9 (cbrt.f64 (/.f64 (pow.f64 y 7) (pow.f64 (+.f64 1 (log.f64 z)) 2))) (.f64 (cbrt.f64 (/.f64 (pow.f64 y 7) (pow.f64 (+.f64 1 (log.f64 z)) 2))) -1/27)) (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (log.f64 z)) 2) (.f64 y y))))) (pow.f64 z 3) (.f64 z (.f64 (pow.f64 (/.f64 (pow.f64 y 7) (pow.f64 (+.f64 1 (log.f64 z)) 2)) 1/18) (pow.f64 (/.f64 (pow.f64 y 7) (pow.f64 (+.f64 1 (log.f64 z)) 2)) 1/18)))) (cbrt.f64 (+.f64 y (.f64 (log.f64 z) y)))))
(fma.f64 -1/3 (fma.f64 z (.f64 (pow.f64 (/.f64 (pow.f64 y 7) (pow.f64 (+.f64 1 (log.f64 z)) 2)) 1/18) (pow.f64 (/.f64 (pow.f64 y 7) (pow.f64 (+.f64 1 (log.f64 z)) 2)) 1/18)) (.f64 (.f64 (cbrt.f64 (/.f64 (pow.f64 y 7) (pow.f64 (+.f64 1 (log.f64 z)) 2))) 5/27) (.f64 (pow.f64 z 3) (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (log.f64 z)) 2) (.f64 y y))))))) (fma.f64 -1/9 (.f64 (.f64 z z) (*.f64 (pow.f64 (/.f64 (pow.f64 y 11) (pow.f64 (+.f64 1 (log.f64 z)) 7)) 1/18) (pow.f64 (/.f64 (pow.f64 y 11) (pow.f64 (+.f64 1 (log.f64 z)) 7)) 1/18))) (cbrt.f64 (fma.f64 (log.f64 z) y y))))
(fma.f64 -1/3 (fma.f64 z (.f64 (pow.f64 (/.f64 (pow.f64 y 7) (pow.f64 (+.f64 1 (log.f64 z)) 2)) 1/18) (pow.f64 (/.f64 (pow.f64 y 7) (pow.f64 (+.f64 1 (log.f64 z)) 2)) 1/18)) (.f64 (pow.f64 z 3) (.f64 (.f64 (cbrt.f64 (/.f64 (pow.f64 y 7) (pow.f64 (+.f64 1 (log.f64 z)) 2))) 5/27) (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (log.f64 z)) 2) (.f64 y y))))))) (fma.f64 -1/9 (.f64 z (.f64 z (*.f64 (pow.f64 (/.f64 (pow.f64 y 11) (pow.f64 (+.f64 1 (log.f64 z)) 7)) 1/18) (pow.f64 (/.f64 (pow.f64 y 11) (pow.f64 (+.f64 1 (log.f64 z)) 7)) 1/18)))) (cbrt.f64 (fma.f64 (log.f64 z) y y))))
(*.f64 (+.f64 1 (log.f64 z)) y)
(+.f64 y (*.f64 (log.f64 z) y))
(fma.f64 (log.f64 z) y y)
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (+.f64 1 (log.f64 z)) y))
(fma.f64 -1 (.f64 z y) (.f64 (+.f64 1 (log.f64 z)) y))
(+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))
(*.f64 y (+.f64 (log.f64 z) (-.f64 1 z)))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (+.f64 1 (log.f64 z)) y))
(fma.f64 -1 (.f64 z y) (.f64 (+.f64 1 (log.f64 z)) y))
(+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))
(*.f64 y (+.f64 (log.f64 z) (-.f64 1 z)))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (+.f64 1 (log.f64 z)) y))
(fma.f64 -1 (.f64 z y) (.f64 (+.f64 1 (log.f64 z)) y))
(+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))
(*.f64 y (+.f64 (log.f64 z) (-.f64 1 z)))
(.f64 -1 (.f64 y z))
(neg.f64 (*.f64 z y))
(*.f64 z (neg.f64 y))
(*.f64 y (neg.f64 z))
(+.f64 (.f64 y (+.f64 1 (.f64 -1 (log.f64 (/.f64 1 z))))) (.f64 -1 (.f64 y z)))
(fma.f64 -1 (.f64 z y) (.f64 (+.f64 1 (log.f64 z)) y))
(+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))
(*.f64 y (+.f64 (log.f64 z) (-.f64 1 z)))
(+.f64 (.f64 y (+.f64 1 (.f64 -1 (log.f64 (/.f64 1 z))))) (.f64 -1 (.f64 y z)))
(fma.f64 -1 (.f64 z y) (.f64 (+.f64 1 (log.f64 z)) y))
(+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))
(*.f64 y (+.f64 (log.f64 z) (-.f64 1 z)))
(+.f64 (.f64 y (+.f64 1 (.f64 -1 (log.f64 (/.f64 1 z))))) (.f64 -1 (.f64 y z)))
(fma.f64 -1 (.f64 z y) (.f64 (+.f64 1 (log.f64 z)) y))
(+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))
(*.f64 y (+.f64 (log.f64 z) (-.f64 1 z)))
(.f64 -1 (.f64 y z))
(neg.f64 (*.f64 z y))
(*.f64 z (neg.f64 y))
(*.f64 y (neg.f64 z))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 y (+.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 z)))))))
(fma.f64 -1 (.f64 z y) (.f64 (+.f64 1 (log.f64 z)) y))
(+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))
(*.f64 y (+.f64 (log.f64 z) (-.f64 1 z)))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 y (+.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 z)))))))
(fma.f64 -1 (.f64 z y) (.f64 (+.f64 1 (log.f64 z)) y))
(+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))
(*.f64 y (+.f64 (log.f64 z) (-.f64 1 z)))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 y (+.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 z)))))))
(fma.f64 -1 (.f64 z y) (.f64 (+.f64 1 (log.f64 z)) y))
(+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))
(*.f64 y (+.f64 (log.f64 z) (-.f64 1 z)))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(fma.f64 -1 (.f64 z y) (.f64 (+.f64 1 (log.f64 z)) y))
(+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))
(*.f64 y (+.f64 (log.f64 z) (-.f64 1 z)))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(fma.f64 -1 (.f64 z y) (.f64 (+.f64 1 (log.f64 z)) y))
(+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))
(*.f64 y (+.f64 (log.f64 z) (-.f64 1 z)))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(fma.f64 -1 (.f64 z y) (.f64 (+.f64 1 (log.f64 z)) y))
(+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))
(*.f64 y (+.f64 (log.f64 z) (-.f64 1 z)))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(fma.f64 -1 (.f64 z y) (.f64 (+.f64 1 (log.f64 z)) y))
(+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))
(*.f64 y (+.f64 (log.f64 z) (-.f64 1 z)))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(fma.f64 -1 (.f64 z y) (.f64 (+.f64 1 (log.f64 z)) y))
(+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))
(*.f64 y (+.f64 (log.f64 z) (-.f64 1 z)))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(fma.f64 -1 (.f64 z y) (.f64 (+.f64 1 (log.f64 z)) y))
(+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))
(*.f64 y (+.f64 (log.f64 z) (-.f64 1 z)))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(fma.f64 -1 (.f64 z y) (.f64 (+.f64 1 (log.f64 z)) y))
(+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))
(*.f64 y (+.f64 (log.f64 z) (-.f64 1 z)))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(fma.f64 -1 (.f64 z y) (.f64 (+.f64 1 (log.f64 z)) y))
(+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))
(*.f64 y (+.f64 (log.f64 z) (-.f64 1 z)))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(fma.f64 -1 (.f64 z y) (.f64 (+.f64 1 (log.f64 z)) y))
(+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))
(*.f64 y (+.f64 (log.f64 z) (-.f64 1 z)))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(fma.f64 -1 (.f64 z y) (.f64 (+.f64 1 (log.f64 z)) y))
(+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))
(*.f64 y (+.f64 (log.f64 z) (-.f64 1 z)))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(fma.f64 -1 (.f64 z y) (.f64 (+.f64 1 (log.f64 z)) y))
(+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))
(*.f64 y (+.f64 (log.f64 z) (-.f64 1 z)))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(fma.f64 -1 (.f64 z y) (.f64 (+.f64 1 (log.f64 z)) y))
(+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))
(*.f64 y (+.f64 (log.f64 z) (-.f64 1 z)))

eval463.0ms (3.4%)

Compiler: Compiled 14194 to 9155 computations (35.5% saved)

prune242.0ms (1.8%)

Pruning

24 alts after pruning (19 fresh and 5 done)

	Pruned	Kept	Total
New	696	11	707
Fresh	6	8	14
Picked	1	0	1
Done	2	5	7
Total	705	24	729

Error

Counts

729 → 24

Alt Table

Click to see full alt table

Status	Error	Program
	35.4b	(.f64 y (/.f64 (-.f64 (pow.f64 (+.f64 (log.f64 z) 1) 2) (.f64 z z)) (+.f64 (+.f64 (log.f64 z) 1) z)))
	27.3b	(/.f64 1 (/.f64 1 (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))))
✓	0.1b	(+.f64 (.f64 x 1/2) (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))
▶	0.1b	(-.f64 (fma.f64 y (+.f64 2 (.f64 2 (log.f64 z))) (fma.f64 (-.f64 -1 (log.f64 z)) y (.f64 x 1/2))) (*.f64 y z))
✓	27.2b	(*.f64 y (+.f64 (log.f64 z) (-.f64 1 z)))
	17.9b	(+.f64 (.f64 x 1/2) (.f64 y (.f64 1/3 (.f64 3 (+.f64 1 (log.f64 z))))))
▶	50.8b	(cbrt.f64 (pow.f64 (*.f64 y (+.f64 (log.f64 z) (-.f64 1 z))) 3))
✓	45.5b	(*.f64 z (neg.f64 y))
	33.1b	(+.f64 (.f64 x 1/2) (.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) (sqrt.f64 y)) (sqrt.f64 y)))
	0.1b	(+.f64 (.f64 x 1/2) (.f64 y (-.f64 (log.f64 (*.f64 (E.f64) z)) z)))
	0.4b	(+.f64 (+.f64 (.f64 x 1/2) (.f64 y (-.f64 1 z))) (pow.f64 (cbrt.f64 (*.f64 y (log.f64 z))) 3))
	45.5b	(/.f64 1 (/.f64 -1 (*.f64 y z)))
▶	36.0b	(/.f64 1 (/.f64 2 x))
✓	0.1b	(+.f64 (+.f64 (.f64 x 1/2) (.f64 y (-.f64 1 z))) (*.f64 y (log.f64 z)))
▶	0.2b	(+.f64 (.f64 x 1/2) (.f64 y (.f64 3 (.f64 1/3 (+.f64 (-.f64 1 z) (log.f64 z))))))
	27.3b	(/.f64 1 (/.f64 (/.f64 1 y) (+.f64 (log.f64 z) (-.f64 1 z))))
▶	17.8b	(+.f64 (+.f64 (.f64 x 1/2) y) (.f64 y (log.f64 z)))
	0.3b	(+.f64 (.f64 x 1/2) (+.f64 (.f64 (.f64 3 (-.f64 1 z)) (.f64 1/3 y)) (.f64 (.f64 3 (log.f64 z)) (*.f64 1/3 y))))
✓	35.9b	(*.f64 1/2 x)
	13.4b	(+.f64 (+.f64 (.f64 x 1/2) (/.f64 (.f64 (-.f64 1 (.f64 z z)) y) (+.f64 1 z))) (.f64 y (log.f64 z)))
	44.5b	(*.f64 (+.f64 1 (log.f64 z)) y)
	37.2b	(*.f64 y (cbrt.f64 (pow.f64 (+.f64 (log.f64 z) (-.f64 1 z)) 3)))
	27.8b	(pow.f64 (cbrt.f64 (*.f64 y (+.f64 (log.f64 z) (-.f64 1 z)))) 3)
	19.1b	(+.f64 (.f64 x 1/2) (.f64 z (neg.f64 y)))

Compiler

Compiled 670 to 503 computations (24.9% saved)

localize56.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 2 (*.f64 2 (log.f64 z)))
✓	0.0b	(-.f64 (fma.f64 y (+.f64 2 (.f64 2 (log.f64 z))) (fma.f64 (-.f64 -1 (log.f64 z)) y (.f64 x 1/2))) (*.f64 y z))
✓	0.2b	(fma.f64 (-.f64 -1 (log.f64 z)) y (*.f64 x 1/2))
✓	0.4b	(fma.f64 y (+.f64 2 (.f64 2 (log.f64 z))) (fma.f64 (-.f64 -1 (log.f64 z)) y (.f64 x 1/2)))

Compiler

Compiled 78 to 44 computations (43.6% saved)

series26.0ms (0.2%)

Counts

4 → 116

Calls

30 calls:

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

rewrite192.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

816×	`log-prod_binary64`
461×	`fma-def_binary64`
313×	`expm1-udef_binary64`
313×	`log1p-udef_binary64`
250×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	78
1	349	72
2	4607	72

Stop Event

1×	node limit

Counts

4 → 207

Calls

Call 1

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

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

simplify161.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

594×	`fma-def_binary64`
572×	`unsub-neg_binary64`
555×	`sub-neg_binary64`
422×	`distribute-neg-in_binary64`
421×	`+-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	75	2221
1	264	2077
2	955	1351
3	3749	1351
4	6685	1351

Stop Event

1×	node limit

Counts

323 → 239

Calls

Call 1

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

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

localize19.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 1 (/.f64 2 x))

Compiler

Compiled 14 to 11 computations (21.4% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/.f64 1 (/.f64 2 x))
1.0ms	x	@	-inf	(/.f64 1 (/.f64 2 x))
1.0ms	x	@	inf	(/.f64 1 (/.f64 2 x))

rewrite76.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

543×	`pow1_binary64`
507×	`add-log-exp_binary64`
507×	`log1p-expm1-u_binary64`
507×	`expm1-log1p-u_binary64`
497×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	4
1	129	4
2	1495	4

Stop Event

1×	node limit

Counts

1 → 26

Calls

Call 1

Inputs
(/.f64 1 (/.f64 2 x))

Outputs

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

simplify16.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	48
1	5	48

Stop Event

1×

saturated

Counts

38 → 26

Calls

Call 1

Inputs
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)

Outputs
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)

localize29.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 31 to 15 computations (51.6% saved)

series5.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite88.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

588×	`fma-def_binary64`
534×	`log-prod_binary64`
386×	`pow-prod-down_binary64`
294×	`pow2_binary64`
284×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	13
1	219	11
2	3086	11

Stop Event

1×	node limit

Counts

1 → 99

Calls

Call 1

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

Outputs

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

simplify335.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

1344×	`distribute-lft-out--_binary64`
664×	`unsub-neg_binary64`
563×	`fma-def_binary64`
340×	`distribute-neg-in_binary64`
326×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	363
1	89	363
2	211	363
3	446	363
4	997	363
5	2808	363
6	4103	363
7	5204	363
8	5860	363
9	6148	363
10	6279	363
11	6378	363
12	6386	363
13	6387	363
14	6387	363
15	6476	363
16	6525	363
17	6545	363
18	6545	363

Stop Event

1×	node limit

Counts

135 → 109

Calls

Call 1

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

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

localize30.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (-.f64 1 z) (log.f64 z))
✓	0.2b	(.f64 y (.f64 3 (*.f64 1/3 (+.f64 (-.f64 1 z) (log.f64 z)))))
✓	0.2b	(.f64 3 (.f64 1/3 (+.f64 (-.f64 1 z) (log.f64 z))))
✓	0.4b	(*.f64 1/3 (+.f64 (-.f64 1 z) (log.f64 z)))

Compiler

Compiled 70 to 46 computations (34.3% saved)

series4.0ms (0%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	z	@	0	(*.f64 1/3 (+.f64 (-.f64 1 z) (log.f64 z)))
0.0ms	z	@	-inf	(*.f64 1/3 (+.f64 (-.f64 1 z) (log.f64 z)))
0.0ms	z	@	inf	(*.f64 1/3 (+.f64 (-.f64 1 z) (log.f64 z)))
0.0ms	z	@	-inf	(.f64 3 (.f64 1/3 (+.f64 (-.f64 1 z) (log.f64 z))))
0.0ms	z	@	-inf	(.f64 y (.f64 3 (*.f64 1/3 (+.f64 (-.f64 1 z) (log.f64 z)))))

rewrite81.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

937×	`prod-diff_binary64`
563×	`log-prod_binary64`
344×	`fma-def_binary64`
302×	`pow2_binary64`
208×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	33
1	264	33
2	3280	33

Stop Event

1×	node limit

Counts

3 → 139

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/3 (+.f64 (-.f64 1 z) (log.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/3 (-.f64 1 z)) (log.f64 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 z)) (*.f64 1/3 (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/3 (-.f64 1 z)) 1) (*.f64 (log.f64 (cbrt.f64 z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (exp.f64 (-.f64 1 z))))) 2)) (log.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (exp.f64 (-.f64 1 z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (cbrt.f64 (*.f64 z (exp.f64 (-.f64 1 z)))))) (log.f64 (sqrt.f64 (cbrt.f64 (*.f64 z (exp.f64 (-.f64 1 z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (+.f64 (-.f64 1 z) (log.f64 z))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 1/3 (-.f64 1 z)) 3) (pow.f64 (log.f64 (cbrt.f64 z)) 3)) (+.f64 (pow.f64 (*.f64 1/3 (-.f64 1 z)) 2) (-.f64 (pow.f64 (log.f64 (cbrt.f64 z)) 2) (*.f64 (*.f64 1/3 (-.f64 1 z)) (log.f64 (cbrt.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 1/3 (-.f64 1 z)) 2) (pow.f64 (log.f64 (cbrt.f64 z)) 2)) (-.f64 (*.f64 1/3 (-.f64 1 z)) (log.f64 (cbrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (-.f64 1 z) 3) (pow.f64 (log.f64 z) 3)) 1/3) (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 (-.f64 (pow.f64 (-.f64 1 z) 2) (pow.f64 (log.f64 z) 2)) 1/3) (-.f64 1 (+.f64 z (log.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/3 (+.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 1/3 (-.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 1/3 (+.f64 (-.f64 1 z) (log.f64 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/3 (+.f64 (-.f64 1 z) (log.f64 z))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/3 (+.f64 (-.f64 1 z) (log.f64 z)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/3 (+.f64 (-.f64 1 z) (log.f64 z)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/9 (pow.f64 (+.f64 (-.f64 1 z) (log.f64 z)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (cbrt.f64 (*.f64 z (exp.f64 (-.f64 1 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 (+.f64 (-.f64 1 z) (log.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (cbrt.f64 z) (exp.f64 (*.f64 1/3 (-.f64 1 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/3 (+.f64 (-.f64 1 z) (log.f64 z))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/3 (+.f64 (-.f64 1 z) (log.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/3 (+.f64 (-.f64 1 z) (log.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 1/3) (log1p.f64 (fma.f64 -1 z (log.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (log.f64 1/3) (log1p.f64 (fma.f64 -1 z (log.f64 z)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/3 (-.f64 1 z) (log.f64 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/3 (log.f64 z) (*.f64 1/3 (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/3 (-.f64 1 z)) (log.f64 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log.f64 (cbrt.f64 z)) (*.f64 1/3 (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 z) 1/3 (log.f64 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log.f64 z) 1/3 (*.f64 1/3 (-.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)) 1/3) (log.f64 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (log.f64 z) 2)) (*.f64 (cbrt.f64 (log.f64 z)) 1/3) (*.f64 1/3 (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 1 z)) (*.f64 (sqrt.f64 (-.f64 1 z)) 1/3) (log.f64 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 z)) (*.f64 (sqrt.f64 (log.f64 z)) 1/3) (*.f64 1/3 (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/3 (-.f64 1 z)) 1 (*.f64 (log.f64 (cbrt.f64 z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 z))) 2) (cbrt.f64 (log.f64 (cbrt.f64 z))) (*.f64 1/3 (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 (-.f64 1 z))) 2) (cbrt.f64 (*.f64 1/3 (-.f64 1 z))) (log.f64 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 (cbrt.f64 z))) (sqrt.f64 (log.f64 (cbrt.f64 z))) (*.f64 1/3 (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 1/3 (-.f64 1 z))) (sqrt.f64 (*.f64 1/3 (-.f64 1 z))) (log.f64 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/3 (cbrt.f64 (pow.f64 (-.f64 1 z) 2))) (cbrt.f64 (-.f64 1 z)) (log.f64 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/3 (sqrt.f64 (-.f64 1 z))) (sqrt.f64 (-.f64 1 z)) (log.f64 (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/3 (cbrt.f64 (pow.f64 (log.f64 z) 2))) (cbrt.f64 (log.f64 z)) (*.f64 1/3 (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/3 (sqrt.f64 (log.f64 z))) (sqrt.f64 (log.f64 z)) (*.f64 1/3 (-.f64 1 z)))))))

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

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

simplify102.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

795×	`unsub-neg_binary64`
523×	`sub-neg_binary64`
460×	`fma-def_binary64`
367×	`distribute-neg-in_binary64`
358×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	41	500
1	124	500
2	330	478
3	915	427
4	2146	427
5	4743	427
6	6534	427
7	7575	427
8	7969	427

Stop Event

1×	node limit

Counts

187 → 163

Calls

Call 1

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

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

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (log.f64 z) (-.f64 1 z))
	0.2b	(*.f64 y (+.f64 (log.f64 z) (-.f64 1 z)))
✓	0.3b	(pow.f64 (*.f64 y (+.f64 (log.f64 z) (-.f64 1 z))) 3)
✓	37.1b	(cbrt.f64 (pow.f64 (*.f64 y (+.f64 (log.f64 z) (-.f64 1 z))) 3))

Compiler

Compiled 47 to 28 computations (40.4% saved)

series9.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite72.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

881×	`prod-diff_binary64`
511×	`log-prod_binary64`
347×	`fma-def_binary64`
282×	`pow2_binary64`
190×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	27
1	247	27
2	3145	27

Stop Event

1×	node limit

Counts

2 → 106

Calls

Call 1

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

Outputs

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

simplify67.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

804×	`fma-def_binary64`
792×	`fma-neg_binary64`
606×	`distribute-rgt-in_binary64`
601×	`distribute-lft-in_binary64`
274×	`unsub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	94	1157
1	319	1111
2	1464	1050
3	6690	1042

Stop Event

1×	node limit

Counts

154 → 139

Calls

Call 1

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

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

eval490.0ms (3.6%)

Compiler: Compiled 19030 to 11479 computations (39.7% saved)

prune179.0ms (1.3%)

Pruning

22 alts after pruning (15 fresh and 7 done)

	Pruned	Kept	Total
New	884	8	892
Fresh	7	7	14
Picked	1	0	1
Done	2	7	9
Total	894	22	916

Error

Counts

916 → 22

Alt Table

Click to see full alt table

Status	Error	Program
	27.3b	(/.f64 1 (/.f64 1 (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))))
✓	0.1b	(+.f64 (.f64 x 1/2) (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))
✓	17.8b	(+.f64 (+.f64 (.f64 x 1/2) y) (.f64 y (log.f64 z)))
	0.2b	(+.f64 (.f64 x 1/2) (.f64 y (.f64 3 (+.f64 (.f64 1/3 (-.f64 1 z)) (log.f64 (cbrt.f64 z))))))
✓	27.2b	(*.f64 y (+.f64 (log.f64 z) (-.f64 1 z)))
	27.2b	(-.f64 (fma.f64 y (+.f64 2 (.f64 2 (log.f64 z))) (.f64 y (-.f64 -1 (log.f64 z)))) (*.f64 y z))
	19.1b	(-.f64 (.f64 1/2 x) (.f64 y z))
	17.9b	(+.f64 (.f64 x 1/2) (.f64 y (.f64 1/3 (.f64 3 (+.f64 1 (log.f64 z))))))
✓	45.5b	(*.f64 z (neg.f64 y))
	0.1b	(+.f64 (.f64 x 1/2) (.f64 y (-.f64 (log.f64 (*.f64 (E.f64) z)) z)))
	44.5b	(*.f64 (+.f64 1 (log.f64 z)) y)
✓	0.1b	(+.f64 (+.f64 (.f64 x 1/2) (.f64 y (-.f64 1 z))) (*.f64 y (log.f64 z)))
	44.7b	(pow.f64 (sqrt.f64 (*.f64 y (+.f64 (log.f64 z) (-.f64 1 z)))) 2)
	45.5b	(/.f64 1 (/.f64 -1 (*.f64 y z)))
✓	36.0b	(/.f64 1 (/.f64 2 x))
	13.4b	(+.f64 (+.f64 (.f64 x 1/2) (/.f64 (.f64 (-.f64 1 (.f64 z z)) y) (+.f64 1 z))) (.f64 y (log.f64 z)))
	27.8b	(pow.f64 (cbrt.f64 (*.f64 y (+.f64 (log.f64 z) (-.f64 1 z)))) 3)
	27.3b	(/.f64 1 (/.f64 (/.f64 1 y) (+.f64 (log.f64 z) (-.f64 1 z))))
	0.3b	(+.f64 (.f64 x 1/2) (+.f64 (.f64 (.f64 3 (-.f64 1 z)) (.f64 1/3 y)) (.f64 (.f64 3 (log.f64 z)) (*.f64 1/3 y))))
✓	35.9b	(*.f64 1/2 x)
	17.9b	(+.f64 (.f64 x 1/2) (.f64 y (.f64 3 (.f64 1/3 (+.f64 1 (log.f64 z))))))
	44.5b	(+.f64 (*.f64 y (log.f64 z)) y)

Compiler

Compiled 311 to 236 computations (24.1% saved)

regimes772.0ms (5.7%)

Counts

55 → 1

Calls

Call 1

Inputs
(*.f64 1/2 x)
(*.f64 z (neg.f64 y))
(/.f64 1 (/.f64 2 x))
(-.f64 (.f64 1/2 x) (.f64 y z))
(/.f64 1 (/.f64 -1 (*.f64 y z)))
(+.f64 (.f64 x 1/2) (.f64 z (neg.f64 y)))
(+.f64 (.f64 x 1/2) (.f64 y (neg.f64 z)))
(*.f64 (+.f64 1 (log.f64 z)) y)
(+.f64 (*.f64 y (log.f64 z)) y)
(*.f64 (+.f64 1 (log.f64 z)) y)
(*.f64 y (+.f64 (log.f64 z) (-.f64 1 z)))
(+.f64 (+.f64 (.f64 x 1/2) y) (.f64 y (log.f64 z)))
(+.f64 (.f64 y (log.f64 z)) (+.f64 (.f64 1/2 x) y))
(+.f64 (.f64 x 1/2) (.f64 (+.f64 1 (log.f64 z)) y))
(/.f64 1 (/.f64 (/.f64 1 y) (+.f64 (log.f64 z) (-.f64 1 z))))
(/.f64 1 (/.f64 1 (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))))
(+.f64 (.f64 x 1/2) (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))
(+.f64 (.f64 x 1/2) (.f64 y (.f64 3 (.f64 1/3 (+.f64 1 (log.f64 z))))))
(+.f64 (.f64 x 1/2) (.f64 y (.f64 1/3 (.f64 3 (+.f64 1 (log.f64 z))))))
(+.f64 (+.f64 (.f64 x 1/2) (.f64 y (-.f64 1 z))) (*.f64 y (log.f64 z)))
(+.f64 (.f64 x 1/2) (+.f64 (.f64 y (-.f64 1 z)) (*.f64 y (log.f64 z))))
(+.f64 (.f64 x 1/2) (.f64 y (.f64 1/3 (.f64 3 (+.f64 (-.f64 1 z) (log.f64 z))))))
(+.f64 (.f64 x 1/2) (.f64 y (.f64 3 (.f64 1/3 (+.f64 (-.f64 1 z) (log.f64 z))))))
(+.f64 (+.f64 (.f64 x 1/2) (/.f64 (.f64 (-.f64 1 (.f64 z z)) y) (+.f64 1 z))) (.f64 y (log.f64 z)))
(+.f64 (.f64 x 1/2) (+.f64 (.f64 (.f64 3 (-.f64 1 z)) (.f64 1/3 y)) (.f64 (.f64 3 (log.f64 z)) (*.f64 1/3 y))))
(+.f64 (.f64 x 1/2) (.f64 y (-.f64 (log.f64 (*.f64 (E.f64) z)) z)))
(+.f64 (.f64 x 1/2) (fma.f64 (-.f64 1 z) y (.f64 y (log.f64 z))))
(+.f64 (.f64 x 1/2) (.f64 y (log.f64 (*.f64 z (exp.f64 (-.f64 1 z))))))
(+.f64 (.f64 x 1/2) (.f64 y (.f64 3 (+.f64 (.f64 1/3 (-.f64 1 z)) (log.f64 (cbrt.f64 z))))))
(pow.f64 (sqrt.f64 (*.f64 y (+.f64 (log.f64 z) (-.f64 1 z)))) 2)
(pow.f64 (cbrt.f64 (*.f64 y (+.f64 (log.f64 z) (-.f64 1 z)))) 3)
(cbrt.f64 (pow.f64 (*.f64 y (+.f64 (log.f64 z) (-.f64 1 z))) 3))
(*.f64 y (cbrt.f64 (pow.f64 (+.f64 (log.f64 z) (-.f64 1 z)) 3)))
(pow.f64 (cbrt.f64 (*.f64 y (+.f64 (log.f64 z) (-.f64 1 z)))) 3)
(+.f64 (.f64 x 1/2) (pow.f64 (sqrt.f64 (.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y)) 2))
(+.f64 (.f64 x 1/2) (pow.f64 (cbrt.f64 (.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y)) 3))
(+.f64 (.f64 x 1/2) (cbrt.f64 (pow.f64 (.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y) 3)))
(+.f64 (.f64 x 1/2) (pow.f64 (cbrt.f64 (.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))) 3))
(+.f64 (.f64 x 1/2) (cbrt.f64 (pow.f64 (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) 3)))
(+.f64 (.f64 x 1/2) (pow.f64 (sqrt.f64 (.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))) 2))
(+.f64 (.f64 x 1/2) (.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) (sqrt.f64 y)) (sqrt.f64 y)))
(+.f64 (+.f64 (.f64 x 1/2) (.f64 y (-.f64 1 z))) (pow.f64 (cbrt.f64 (*.f64 y (log.f64 z))) 3))
(-.f64 (fma.f64 y (+.f64 2 (.f64 2 (log.f64 z))) (.f64 y (-.f64 -1 (log.f64 z)))) (*.f64 y z))
(.f64 y (/.f64 (-.f64 (pow.f64 (+.f64 (log.f64 z) 1) 2) (.f64 z z)) (+.f64 (+.f64 (log.f64 z) 1) z)))
(+.f64 (.f64 x 1/2) (.f64 y (+.f64 (.f64 2 (.f64 1/3 (-.f64 1 z))) (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 1 z))) z)))))
(fma.f64 (.f64 (+.f64 1 (log.f64 z)) (sqrt.f64 y)) (sqrt.f64 y) (.f64 x 1/2))
(fma.f64 (.f64 (+.f64 (-.f64 1 z) (log.f64 z)) (sqrt.f64 y)) (sqrt.f64 y) (.f64 x 1/2))
(+.f64 (.f64 x 1/2) (fma.f64 (.f64 (log.f64 z) (sqrt.f64 y)) (sqrt.f64 y) (*.f64 y (-.f64 1 z))))
(-.f64 (fma.f64 y (+.f64 2 (.f64 2 (log.f64 z))) (fma.f64 (-.f64 -1 (log.f64 z)) y (.f64 x 1/2))) (*.f64 y z))
(+.f64 (.f64 x 1/2) (/.f64 (.f64 (-.f64 (pow.f64 (-.f64 1 z) 2) (pow.f64 (log.f64 z) 2)) y) (-.f64 1 (+.f64 z (log.f64 z)))))
(+.f64 (.f64 x 1/2) (/.f64 (-.f64 (pow.f64 (.f64 y (-.f64 1 z)) 2) (pow.f64 (.f64 y (log.f64 z)) 2)) (-.f64 (.f64 y (-.f64 1 z)) (*.f64 y (log.f64 z)))))
(/.f64 1 (/.f64 (fma.f64 x 1/2 (.f64 (neg.f64 y) (+.f64 (-.f64 1 z) (log.f64 z)))) (-.f64 (.f64 (.f64 x x) 1/4) (pow.f64 (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) 2))))
(+.f64 (.f64 x 1/2) (fma.f64 (sqrt.f64 (.f64 y (log.f64 z))) (sqrt.f64 (.f64 y (log.f64 z))) (.f64 y (-.f64 1 z))))
(+.f64 (.f64 x 1/2) (.f64 y (fma.f64 (cbrt.f64 (pow.f64 (log.f64 z) 2)) (cbrt.f64 (log.f64 z)) (-.f64 1 z))))
(+.f64 (.f64 x 1/2) (fma.f64 (pow.f64 (cbrt.f64 (.f64 y (log.f64 z))) 2) (cbrt.f64 (.f64 y (log.f64 z))) (.f64 y (-.f64 1 z))))

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

Calls

9 calls:

145.0ms	(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))
99.0ms	(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))
92.0ms	(+.f64 (.f64 x 1/2) (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))
70.0ms	x
54.0ms	(+.f64 (-.f64 1 z) (log.f64 z))

Results

Error	Segments	Branch
0.1b	1	`x`
0.1b	1	`y`
0.1b	1	`z`
0.1b	1	`(+.f64 (.f64 x 1/2) (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))`
0.1b	1	`(*.f64 x 1/2)`
0.1b	1	`(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))`
0.1b	1	`(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))`
0.1b	1	`(+.f64 (-.f64 1 z) (log.f64 z))`
0.1b	1	`(+.f64 (-.f64 1 z) (log.f64 z))`

Compiler

Compiled 841 to 511 computations (39.2% saved)

regimes162.0ms (1.2%)

Counts

19 → 1

Calls

Call 1

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

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

Calls

7 calls:

69.0ms	(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))
18.0ms	y
15.0ms	(*.f64 x 1/2)
13.0ms	z
11.0ms	(+.f64 (.f64 x 1/2) (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))

Results

Error	Segments	Branch
0.1b	1	`x`
0.1b	1	`y`
0.1b	1	`z`
0.1b	1	`(+.f64 (.f64 x 1/2) (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))`
0.1b	1	`(*.f64 x 1/2)`
0.1b	1	`(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))`
0.1b	1	`(+.f64 (-.f64 1 z) (log.f64 z))`

Compiler

Compiled 218 to 137 computations (37.2% saved)

regimes458.0ms (3.4%)

Counts

16 → 2

Calls

Call 1

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

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

Calls

5 calls:

139.0ms	(*.f64 x 1/2)
93.0ms	y
89.0ms	x
71.0ms	(*.f64 x 1/2)
34.0ms	z

Results

Error	Segments	Branch
6.3b	5	`x`
8.7b	4	`y`
1.2b	2	`z`
6.3b	5	`(*.f64 x 1/2)`
6.3b	5	`(*.f64 x 1/2)`

Compiler

Compiled 149 to 89 computations (40.3% saved)

bsearch52.0ms (0.4%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
51.0ms	0.007715337657317832	28.18757646691882

Compiler

Compiled 21 to 16 computations (23.8% saved)

regimes523.0ms (3.8%)

Counts

11 → 5

Calls

Call 1

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

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

Calls

5 calls:

215.0ms	z
94.0ms	x
80.0ms	(*.f64 x 1/2)
78.0ms	(*.f64 x 1/2)
50.0ms	y

Results

Error	Segments	Branch
7.6b	5	`x`
10.5b	3	`y`
10.1b	10	`z`
7.6b	5	`(*.f64 x 1/2)`
7.6b	5	`(*.f64 x 1/2)`

Compiler

Compiled 95 to 59 computations (37.9% saved)

bsearch1.0ms (0%)

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	2.4552597038888974e-77	2.109791385545085e-75
0.0ms	-2.1445942976751522e-130	-5.382133708919019e-131
0.0ms	-1.1670993728671457e-104	-1.5649440328242397e-109
0.0ms	-9.868390294940223e-43	-4.443235611903943e-43

Compiler

Compiled 21 to 16 computations (23.8% saved)

regimes414.0ms (3%)

Counts

10 → 10

Calls

Call 1

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

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

Calls

5 calls:

117.0ms	(*.f64 x 1/2)
110.0ms	(*.f64 x 1/2)
108.0ms	z
57.0ms	x
17.0ms	y

Results

Error	Segments	Branch
15.5b	7	`x`
13.5b	3	`y`
10.1b	10	`z`
15.5b	7	`(*.f64 x 1/2)`
15.5b	7	`(*.f64 x 1/2)`

Compiler

Compiled 87 to 55 computations (36.8% saved)

bsearch320.0ms (2.3%)

Algorithm

9×	binary-search

Steps

Time	Left	Right
29.0ms	3.976740139952437e-25	4.6235668614439757e-20
68.0ms	4.777676946523487e-60	8.028294459603285e-60
40.0ms	1.2702279249719782e-87	9.95833477592545e-86
26.0ms	6.443128411842131e-108	1.988596304149644e-107
27.0ms	2.7072352691899534e-123	1.0325018493324522e-119
25.0ms	1.6973478007336074e-163	2.703869016972995e-163
51.0ms	4.264198730403987e-185	1.563768464905795e-180
25.0ms	4.601651853852565e-217	1.0259933443872802e-216
29.0ms	9.750121678722319e-243	1.0479719160768535e-242

Compiler

Compiled 21 to 16 computations (23.8% saved)

regimes216.0ms (1.6%)

Counts

8 → 10

Calls

Call 1

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

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

Calls

5 calls:

73.0ms	(*.f64 x 1/2)
48.0ms	z
39.0ms	(*.f64 x 1/2)
35.0ms	x
19.0ms	y

Results

Error	Segments	Branch
15.5b	7	`x`
13.5b	3	`y`
10.1b	10	`z`
15.5b	7	`(*.f64 x 1/2)`
15.5b	7	`(*.f64 x 1/2)`

Compiler

Compiled 75 to 50 computations (33.3% saved)

bsearch407.0ms (3%)

Algorithm

9×	binary-search

Steps

Time	Left	Right
27.0ms	3.976740139952437e-25	4.6235668614439757e-20
46.0ms	4.777676946523487e-60	8.028294459603285e-60
86.0ms	1.2702279249719782e-87	9.95833477592545e-86
45.0ms	6.443128411842131e-108	1.988596304149644e-107
72.0ms	2.7072352691899534e-123	1.0325018493324522e-119
27.0ms	1.6973478007336074e-163	2.703869016972995e-163
25.0ms	4.264198730403987e-185	1.563768464905795e-180
27.0ms	4.601651853852565e-217	1.0259933443872802e-216
52.0ms	9.750121678722319e-243	1.0479719160768535e-242

Compiler

Compiled 21 to 16 computations (23.8% saved)

regimes30.0ms (0.2%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

5 calls:

6.0ms	y
6.0ms	(*.f64 x 1/2)
5.0ms	(*.f64 x 1/2)
5.0ms	z
5.0ms	x

Results

Error	Segments	Branch
19.1b	1	`x`
19.1b	1	`y`
19.1b	1	`z`
19.1b	1	`(*.f64 x 1/2)`
19.1b	1	`(*.f64 x 1/2)`

Compiler

Compiled 69 to 46 computations (33.3% saved)

regimes50.0ms (0.4%)

Accuracy

Total -36.1b remaining (-139.4%)

Threshold costs -36.1b (-139.4%)

Counts

3 → 5

Calls

Call 1

Inputs
(*.f64 1/2 x)
(*.f64 z (neg.f64 y))
(/.f64 1 (/.f64 2 x))

Outputs
(*.f64 1/2 x)
(*.f64 z (neg.f64 y))
(*.f64 1/2 x)
(*.f64 z (neg.f64 y))
(*.f64 1/2 x)

Calls

3 calls:

28.0ms	x
13.0ms	y
7.0ms	z

Results

Error	Segments	Branch
25.9b	5	`x`
32.1b	4	`y`
28.3b	2	`z`

Compiler

Compiled 27 to 20 computations (25.9% saved)

bsearch272.0ms (2%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
45.0ms	4.7315744430565743e-150	1.1155647057506985e-145
41.0ms	-4.2891885953503045e-130	-1.0764267417838037e-130
110.0ms	-2.3341987457342914e-104	-3.1298880656484795e-109
76.0ms	-44076373566.74853	-13616.73514377604

Compiler

Compiled 21 to 16 computations (23.8% saved)

simplify30.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

13×	`+-commutative_binary64`
11×	`*-commutative_binary64`
5×	`sub-neg_binary64`
3×	`neg-sub0_binary64`
3×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	92	508
1	127	508
2	138	508
3	143	508
4	145	508

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 (+.f64 (.f64 x 1/2) (.f64 y (-.f64 1 z))) (*.f64 y (log.f64 z)))
(+.f64 (.f64 x 1/2) (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))
(if (<=.f64 z 8895178700424741/1152921504606846976) (+.f64 (+.f64 (.f64 x 1/2) y) (.f64 y (log.f64 z))) (-.f64 (.f64 1/2 x) (.f64 y z)))
(if (<=.f64 (.f64 x 1/2) -6277101735386681/12554203470773361527671578846415332832204710888928069025792) (-.f64 (.f64 1/2 x) (.f64 y z)) (if (<=.f64 (.f64 x 1/2) -6455624695217271/645562469521727147413979793000752968582426448207305878207664839135161905504210298657411338320034457858975792993186873344) (.f64 y (+.f64 (log.f64 z) (-.f64 1 z))) (if (<=.f64 (.f64 x 1/2) -1248699420126397/6243497100631984462763194459586332611497196285329942301718313919250743477639531240240612206126983942319653862242813245790895951358576570612580352) (-.f64 (.f64 1/2 x) (.f64 y z)) (if (<=.f64 (.f64 x 1/2) 1303703024854071/32592575621351777380295131014550050576823494298654980010178247189670100796213387298934358016) (.f64 y (+.f64 (log.f64 z) (-.f64 1 z))) (-.f64 (.f64 1/2 x) (.f64 y z))))))
(if (<=.f64 z 2342374482748843/240240538521750407359077046256296219561976306993584113173692780504404210003815414654317126354570604187153728613910574803813846101321671784376366749012476965121271261522908882474772107196452653194239352573372884036938570849429907747816467644391667125314387968) (+.f64 (.f64 y (log.f64 z)) y) (if (<=.f64 z 1428829551515041/3105036184601417870297958976925005110513772034233393222278104076052101905372753772661756817657292955900975461394262146412343160088229628782888574550082362278408909952041699811100530571263196889650525998387432937501785693707632115712) (-.f64 (.f64 1/2 x) (.f64 y z)) (if (<=.f64 z 6528066248031975/153090103458041951154620325043801237641319743206933311288544235956760011447392195175450369025277569052617268428910122535686807015741471080782585043071649294869136754165183653769539196448293593632735232) (+.f64 (.f64 y (log.f64 z)) y) (if (<=.f64 z 5502477441367201/32418090381882757488378186435087196492284736189394038281216072888208225089163344893747711319899248392876545989150787415487462117776654494592866209641515341305165482839074293153792) (-.f64 (.f64 1/2 x) (.f64 y z)) (if (<=.f64 z 1007474395866163/372141426839350727961253789638658321589064376671906846864122981980487315514059736743009817965446945567110411062408283101969716033850703872) (+.f64 (.f64 y (log.f64 z)) y) (if (<=.f64 z 1064817123582569/165263992197562149737978827008192759957101170741070304821162198818601447809077836456297302609928821211897803006255839576064) (.f64 1/2 x) (if (<=.f64 z 5689972632646821/4479489484355608421114884561136888556243290994469299069799978201927583742360321890761754986543214231552) (.f64 (+.f64 1 (log.f64 z)) y) (if (<=.f64 z 4322009338585281/904625697166532776746648320380374280103671755200316906558262375061821325312) (-.f64 (.f64 1/2 x) (.f64 y z)) (if (<=.f64 z 2165143275924031/5444517870735015415413993718908291383296) (+.f64 (.f64 y (log.f64 z)) y) (-.f64 (.f64 1/2 x) (.f64 y z)))))))))))
(if (<=.f64 z 2342374482748843/240240538521750407359077046256296219561976306993584113173692780504404210003815414654317126354570604187153728613910574803813846101321671784376366749012476965121271261522908882474772107196452653194239352573372884036938570849429907747816467644391667125314387968) (.f64 (+.f64 1 (log.f64 z)) y) (if (<=.f64 z 1428829551515041/3105036184601417870297958976925005110513772034233393222278104076052101905372753772661756817657292955900975461394262146412343160088229628782888574550082362278408909952041699811100530571263196889650525998387432937501785693707632115712) (-.f64 (.f64 1/2 x) (.f64 y z)) (if (<=.f64 z 6528066248031975/153090103458041951154620325043801237641319743206933311288544235956760011447392195175450369025277569052617268428910122535686807015741471080782585043071649294869136754165183653769539196448293593632735232) (.f64 (+.f64 1 (log.f64 z)) y) (if (<=.f64 z 5502477441367201/32418090381882757488378186435087196492284736189394038281216072888208225089163344893747711319899248392876545989150787415487462117776654494592866209641515341305165482839074293153792) (-.f64 (.f64 1/2 x) (.f64 y z)) (if (<=.f64 z 1007474395866163/372141426839350727961253789638658321589064376671906846864122981980487315514059736743009817965446945567110411062408283101969716033850703872) (.f64 (+.f64 1 (log.f64 z)) y) (if (<=.f64 z 1064817123582569/165263992197562149737978827008192759957101170741070304821162198818601447809077836456297302609928821211897803006255839576064) (.f64 1/2 x) (if (<=.f64 z 5689972632646821/4479489484355608421114884561136888556243290994469299069799978201927583742360321890761754986543214231552) (.f64 (+.f64 1 (log.f64 z)) y) (if (<=.f64 z 4322009338585281/904625697166532776746648320380374280103671755200316906558262375061821325312) (-.f64 (.f64 1/2 x) (.f64 y z)) (if (<=.f64 z 2165143275924031/5444517870735015415413993718908291383296) (.f64 (+.f64 1 (log.f64 z)) y) (-.f64 (.f64 1/2 x) (.f64 y z)))))))))))
(-.f64 (.f64 1/2 x) (.f64 y z))
(if (<=.f64 x -5777178436140863/131072) (.f64 1/2 x) (if (<=.f64 x -941794441656717/40347654345107946713373737062547060536401653012956617387979052445947619094013143666088208645002153616185987062074179584) (.f64 z (neg.f64 y)) (if (<=.f64 x -669488413978335/1560874275157996115690798614896583152874299071332485575429578479812685869409882810060153051531745985579913465560703311447723987839644142653145088) (.f64 1/2 x) (if (<=.f64 x 2179783222453787/460688772561223309599799143187044542348256984914116263229517370635452168260760357920669766257038423772151901248872539660616526444082616288154471954520592778765795328) (.f64 z (neg.f64 y)) (*.f64 1/2 x)))))
(*.f64 1/2 x)

Outputs
(+.f64 (+.f64 (.f64 x 1/2) (.f64 y (-.f64 1 z))) (*.f64 y (log.f64 z)))
(+.f64 (+.f64 (.f64 y (-.f64 1 z)) (.f64 x 1/2)) (*.f64 y (log.f64 z)))
(+.f64 (.f64 x 1/2) (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))
(+.f64 (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) (.f64 x 1/2))
(if (<=.f64 z 8895178700424741/1152921504606846976) (+.f64 (+.f64 (.f64 x 1/2) y) (.f64 y (log.f64 z))) (-.f64 (.f64 1/2 x) (.f64 y z)))
(if (<=.f64 z 8895178700424741/1152921504606846976) (+.f64 (.f64 y (log.f64 z)) (+.f64 y (.f64 x 1/2))) (-.f64 (.f64 x 1/2) (.f64 y z)))
(if (<=.f64 (.f64 x 1/2) -6277101735386681/12554203470773361527671578846415332832204710888928069025792) (-.f64 (.f64 1/2 x) (.f64 y z)) (if (<=.f64 (.f64 x 1/2) -6455624695217271/645562469521727147413979793000752968582426448207305878207664839135161905504210298657411338320034457858975792993186873344) (.f64 y (+.f64 (log.f64 z) (-.f64 1 z))) (if (<=.f64 (.f64 x 1/2) -1248699420126397/6243497100631984462763194459586332611497196285329942301718313919250743477639531240240612206126983942319653862242813245790895951358576570612580352) (-.f64 (.f64 1/2 x) (.f64 y z)) (if (<=.f64 (.f64 x 1/2) 1303703024854071/32592575621351777380295131014550050576823494298654980010178247189670100796213387298934358016) (.f64 y (+.f64 (log.f64 z) (-.f64 1 z))) (-.f64 (.f64 1/2 x) (.f64 y z))))))
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(-.f64 (.f64 1/2 x) (.f64 y z))
(-.f64 (.f64 x 1/2) (.f64 y z))
(if (<=.f64 x -5777178436140863/131072) (.f64 1/2 x) (if (<=.f64 x -941794441656717/40347654345107946713373737062547060536401653012956617387979052445947619094013143666088208645002153616185987062074179584) (.f64 z (neg.f64 y)) (if (<=.f64 x -669488413978335/1560874275157996115690798614896583152874299071332485575429578479812685869409882810060153051531745985579913465560703311447723987839644142653145088) (.f64 1/2 x) (if (<=.f64 x 2179783222453787/460688772561223309599799143187044542348256984914116263229517370635452168260760357920669766257038423772151901248872539660616526444082616288154471954520592778765795328) (.f64 z (neg.f64 y)) (*.f64 1/2 x)))))
(if (<=.f64 x -5777178436140863/131072) (.f64 x 1/2) (if (<=.f64 x -941794441656717/40347654345107946713373737062547060536401653012956617387979052445947619094013143666088208645002153616185987062074179584) (.f64 z (neg.f64 y)) (if (<=.f64 x -669488413978335/1560874275157996115690798614896583152874299071332485575429578479812685869409882810060153051531745985579913465560703311447723987839644142653145088) (.f64 x 1/2) (if (<=.f64 x 2179783222453787/460688772561223309599799143187044542348256984914116263229517370635452168260760357920669766257038423772151901248872539660616526444082616288154471954520592778765795328) (.f64 z (neg.f64 y)) (*.f64 x 1/2)))))
(if (<=.f64 x -5777178436140863/131072) (.f64 x 1/2) (if (<=.f64 x -941794441656717/40347654345107946713373737062547060536401653012956617387979052445947619094013143666088208645002153616185987062074179584) (.f64 y (neg.f64 z)) (if (<=.f64 x -669488413978335/1560874275157996115690798614896583152874299071332485575429578479812685869409882810060153051531745985579913465560703311447723987839644142653145088) (.f64 x 1/2) (if (<=.f64 x 2179783222453787/460688772561223309599799143187044542348256984914116263229517370635452168260760357920669766257038423772151901248872539660616526444082616288154471954520592778765795328) (.f64 y (neg.f64 z)) (*.f64 x 1/2)))))
(*.f64 1/2 x)
(*.f64 x 1/2)

Compiler

Compiled 372 to 228 computations (38.7% saved)

soundness0.0ms (0%)

end235.0ms (1.7%)

Compiler: Compiled 348 to 193 computations (44.5% saved)