Details

analyze153.0ms (1.5%)

Algorithm

1×

Search

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

Compiler

Compiled 16 to 12 computations (25% saved)

sample1.3s (12.7%)

Results

1.2s	8256×	body	256	valid
109.0ms	787×	body	256	invalid

preprocess156.0ms (1.5%)

Algorithm

2×	egg-herbie

Rules

866×	`unsub-neg_binary64`
811×	`fma-def_binary64`
534×	`sub-neg_binary64`
499×	`associate-+r+_binary64`
369×	`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	2534	56
6	4299	56
7	5613	56
8	6456	56
9	6551	56
10	6590	56
11	6625	56
12	6811	56
13	7096	56
14	7327	56
15	7444	56
16	7444	56
17	7919	56
0	3	3

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

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

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

Compiler

Compiled 18 to 14 computations (22.2% saved)

simplify188.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

982×	`fma-def_binary64`
790×	`fma-neg_binary64`
746×	`unsub-neg_binary64`
520×	`distribute-rgt-in_binary64`
384×	`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	718	14
6	1240	14
7	1881	14
8	2833	14
9	3323	14
10	4425	14
11	5153	14
12	5438	14
13	6153	14
14	6686	14
15	6909	14
16	7056	14
17	7166	14
18	7192	14
19	7321	14
20	7353	14
21	7395	14
22	7435	14
23	7435	14
24	7435	14

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.1b

Counts

3 → 2

Alt Table

Click to see full alt table

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

Compiler

Compiled 28 to 19 computations (32.1% saved)

localize9.0ms (0.1%)

Local error

Found 6 expressions with local error:

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

series50.0ms (0.5%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
30.0ms	y	@	0	(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))
8.0ms	z	@	0	(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))
3.0ms	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))))
2.0ms	z	@	inf	(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))

rewrite82.0ms (0.8%)

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	3898	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 (log.f64 z)) (.f64 y (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 y (-.f64 1 z)) (.f64 y (log.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 y (-.f64 1 z)) 1) (.f64 (.f64 y (log.f64 z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (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 fma.f64 y (-.f64 1 z) (.f64 y (log.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (log.f64 z) (.f64 y (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 y (log.f64 z)) (.f64 y (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 y (-.f64 1 z)) (.f64 y (log.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 z) y (.f64 y (log.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log.f64 z) y (.f64 y (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (-.f64 1 z) 2)) (.f64 (cbrt.f64 (-.f64 1 z)) y) (.f64 y (log.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 (cbrt.f64 y) (-.f64 1 z)) (.f64 y (log.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 (cbrt.f64 y) (log.f64 z)) (.f64 y (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (log.f64 z) 2)) (.f64 (cbrt.f64 (log.f64 z)) y) (.f64 y (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 1 z)) (.f64 (sqrt.f64 (-.f64 1 z)) y) (.f64 y (log.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) (-.f64 1 z)) (.f64 y (log.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) (log.f64 z)) (.f64 y (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 z)) (.f64 (sqrt.f64 (log.f64 z)) y) (.f64 y (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 y (-.f64 1 z)) 1 (.f64 (.f64 y (log.f64 z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (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 (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 (sqrt.f64 (.f64 y (log.f64 z))) (sqrt.f64 (.f64 y (log.f64 z))) (.f64 y (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 y (-.f64 1 z))) (sqrt.f64 (.f64 y (-.f64 1 z))) (.f64 y (log.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (sqrt.f64 (-.f64 1 z)) (sqrt.f64 y)) (.f64 (sqrt.f64 (-.f64 1 z)) (sqrt.f64 y)) (.f64 y (log.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (sqrt.f64 y) (sqrt.f64 (-.f64 1 z))) (.f64 (sqrt.f64 y) (sqrt.f64 (-.f64 1 z))) (.f64 y (log.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (sqrt.f64 y) (sqrt.f64 (log.f64 z))) (.f64 (sqrt.f64 y) (sqrt.f64 (log.f64 z))) (.f64 y (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (sqrt.f64 (log.f64 z)) (sqrt.f64 y)) (.f64 (sqrt.f64 (log.f64 z)) (sqrt.f64 y)) (.f64 y (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (-.f64 1 z) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (.f64 y (log.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (-.f64 1 z) (sqrt.f64 y)) (sqrt.f64 y) (.f64 y (log.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 y (cbrt.f64 (pow.f64 (-.f64 1 z) 2))) (cbrt.f64 (-.f64 1 z)) (.f64 y (log.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 y (sqrt.f64 (-.f64 1 z))) (sqrt.f64 (-.f64 1 z)) (.f64 y (log.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 y (cbrt.f64 (pow.f64 (log.f64 z) 2))) (cbrt.f64 (log.f64 z)) (.f64 y (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 y (sqrt.f64 (log.f64 z))) (sqrt.f64 (log.f64 z)) (.f64 y (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (log.f64 z) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (.f64 y (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (log.f64 z) (sqrt.f64 y)) (sqrt.f64 y) (.f64 y (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.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 log1p.f64 (expm1.f64 (.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))))))))
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Outputs

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

simplify87.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

771×	`unsub-neg_binary64`
680×	`sub-neg_binary64`
617×	`fma-def_binary64`
462×	`fma-neg_binary64`
352×	`distribute-neg-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	40	871
1	115	871
2	295	867
3	871	765
4	2396	765
5	5117	765
6	6911	765
7	7730	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 (-.f64 (log.f64 z) z) y))
(+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(+.f64 y (*.f64 (-.f64 (log.f64 z) z) y))
(+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(+.f64 y (*.f64 (-.f64 (log.f64 z) z) y))
(+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(+.f64 y (*.f64 (-.f64 (log.f64 z) z) y))
(+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(+.f64 y (*.f64 (-.f64 (log.f64 z) z) y))
(+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(+.f64 y (*.f64 (-.f64 (log.f64 z) z) y))
(+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(+.f64 y (*.f64 (-.f64 (log.f64 z) z) y))
(+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(+.f64 y (*.f64 (-.f64 (log.f64 z) z) y))
(+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(+.f64 y (*.f64 (-.f64 (log.f64 z) z) y))
(+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(+.f64 y (*.f64 (-.f64 (log.f64 z) z) y))
(+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(+.f64 y (*.f64 (-.f64 (log.f64 z) z) y))
(+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(+.f64 y (*.f64 (-.f64 (log.f64 z) z) y))
(+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(*.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 (-.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 (.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 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 (-.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 -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 (-.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 (.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 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 (-.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 -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 (-.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 (.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 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 (-.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 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 (-.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 (.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))
(+.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 (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)))
(fma.f64 y (-.f64 (+.f64 1 (log.f64 z)) z) (*.f64 1/2 x))
(+.f64 (fma.f64 1/2 x y) (*.f64 y (-.f64 (log.f64 z) z)))
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y))
(+.f64 (.f64 1/2 x) (.f64 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))
(+.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 (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)))
(fma.f64 y (-.f64 (+.f64 1 (log.f64 z)) z) (*.f64 1/2 x))
(+.f64 (fma.f64 1/2 x y) (*.f64 y (-.f64 (log.f64 z) z)))
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y))
(+.f64 (.f64 1/2 x) (.f64 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))
(+.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 (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)))
(fma.f64 y (-.f64 (+.f64 1 (log.f64 z)) z) (*.f64 1/2 x))
(+.f64 (fma.f64 1/2 x y) (*.f64 y (-.f64 (log.f64 z) z)))
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y))
(*.f64 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))
(+.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 (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)))
(fma.f64 y (-.f64 (+.f64 1 (log.f64 z)) z) (*.f64 1/2 x))
(+.f64 (fma.f64 1/2 x y) (*.f64 y (-.f64 (log.f64 z) z)))
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y))
(+.f64 (.f64 1/2 x) (.f64 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))
(+.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 (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)))
(fma.f64 y (-.f64 (+.f64 1 (log.f64 z)) z) (*.f64 1/2 x))
(+.f64 (fma.f64 1/2 x y) (*.f64 y (-.f64 (log.f64 z) z)))
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y))
(+.f64 (.f64 1/2 x) (.f64 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))
(+.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 (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)))
(fma.f64 y (-.f64 (+.f64 1 (log.f64 z)) z) (*.f64 1/2 x))
(+.f64 (fma.f64 1/2 x y) (*.f64 y (-.f64 (log.f64 z) z)))
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(+.f64 y (*.f64 (-.f64 (log.f64 z) z) y))
(+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(+.f64 (.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))
(+.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 (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)))
(fma.f64 y (-.f64 (+.f64 1 (log.f64 z)) z) (*.f64 1/2 x))
(+.f64 (fma.f64 1/2 x y) (*.f64 y (-.f64 (log.f64 z) z)))
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y))
(+.f64 (.f64 1/2 x) (.f64 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))
(+.f64 (fma.f64 1/2 x y) (*.f64 y (-.f64 (log.f64 z) z)))
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(+.f64 y (*.f64 (-.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 (.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))
(+.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 (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)))
(fma.f64 y (-.f64 (+.f64 1 (log.f64 z)) z) (*.f64 1/2 x))
(+.f64 (fma.f64 1/2 x y) (*.f64 y (-.f64 (log.f64 z) z)))
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y))
(+.f64 (.f64 1/2 x) (.f64 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))
(+.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 (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))
(+.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 (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)))
(fma.f64 y (-.f64 (+.f64 1 (log.f64 z)) z) (*.f64 1/2 x))
(+.f64 (fma.f64 1/2 x y) (*.f64 y (-.f64 (log.f64 z) z)))
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 -1 (.f64 y z)) (.f64 (+.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))
(+.f64 (fma.f64 1/2 x y) (*.f64 y (-.f64 (log.f64 z) z)))
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y))
(.f64 -1 (.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 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))
(+.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 (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)))
(fma.f64 y (-.f64 (+.f64 1 (log.f64 z)) z) (*.f64 1/2 x))
(+.f64 (fma.f64 1/2 x y) (*.f64 y (-.f64 (log.f64 z) z)))
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 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))
(+.f64 (fma.f64 1/2 x y) (*.f64 y (-.f64 (log.f64 z) z)))
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y))
(.f64 -1 (.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 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))
(+.f64 (fma.f64 1/2 x y) (*.f64 y (-.f64 (log.f64 z) z)))
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 -1 (.f64 y z)) (.f64 y (+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z))))))))
(fma.f64 1/2 x (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)))
(fma.f64 y (-.f64 (+.f64 1 (log.f64 z)) z) (*.f64 1/2 x))
(+.f64 (fma.f64 1/2 x y) (*.f64 y (-.f64 (log.f64 z) z)))
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 -1 (.f64 y z)) (.f64 y (+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z))))))))
(fma.f64 1/2 x (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)))
(fma.f64 y (-.f64 (+.f64 1 (log.f64 z)) z) (*.f64 1/2 x))
(+.f64 (fma.f64 1/2 x y) (*.f64 y (-.f64 (log.f64 z) z)))
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y))

localize8.0ms (0.1%)

Local error

Found 6 expressions with local error:

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

series8.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

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

rewrite66.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

515×	`unpow-prod-down_binary64`
472×	`prod-diff_binary64`
425×	`log-prod_binary64`
282×	`pow-prod-down_binary64`
254×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 186

Calls

Call 1

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

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

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-.f64 (exp.f64 (log1p.f64 (fma.f64 x 1/2 (fma.f64 y (-.f64 (log.f64 z) z) y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x 1/2 (fma.f64 y (-.f64 (log.f64 z) z) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x 1/2 (fma.f64 y (-.f64 (log.f64 z) z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x 1/2 (fma.f64 y (-.f64 (log.f64 z) z) y))) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (fma.f64 y (-.f64 (log.f64 z) z) y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (fma.f64 y (-.f64 (log.f64 z) z) y))) 2) (cbrt.f64 (fma.f64 x 1/2 (fma.f64 y (-.f64 (log.f64 z) z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x 1/2 (fma.f64 y (-.f64 (log.f64 z) z) y))) (sqrt.f64 (fma.f64 x 1/2 (fma.f64 y (-.f64 (log.f64 z) z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (fma.f64 x 1/2 (fma.f64 y (-.f64 (log.f64 z) z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x 1/2 (fma.f64 y (-.f64 (log.f64 z) z) y)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x 1/2 (fma.f64 y (-.f64 (log.f64 z) z) y)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 x 1/2 (fma.f64 y (-.f64 (log.f64 z) z) y)) (cbrt.f64 (fma.f64 x 1/2 (fma.f64 y (-.f64 (log.f64 z) z) y)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 x 1/2 (fma.f64 y (-.f64 (log.f64 z) z) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (fma.f64 x 1/2 (fma.f64 y (-.f64 (log.f64 z) z) y)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (fma.f64 x 1/2 (fma.f64 y (-.f64 (log.f64 z) z) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x 1/2 (fma.f64 y (-.f64 (log.f64 z) z) y)))) 2) 3) (cbrt.f64 (fma.f64 x 1/2 (fma.f64 y (-.f64 (log.f64 z) z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x 1/2 (fma.f64 y (-.f64 (log.f64 z) z) y)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x 1/2 (fma.f64 y (-.f64 (log.f64 z) z) y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (fma.f64 y (-.f64 (log.f64 z) z) y) 3)) (+.f64 (pow.f64 (*.f64 x 1/2) 2) (-.f64 (pow.f64 (fma.f64 y (-.f64 (log.f64 z) z) y) 2) (*.f64 (*.f64 x 1/2) (fma.f64 y (-.f64 (log.f64 z) z) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x 1/2) 2) (pow.f64 (fma.f64 y (-.f64 (log.f64 z) z) y) 2)) (-.f64 (*.f64 x 1/2) (fma.f64 y (-.f64 (log.f64 z) z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x 1/2 (fma.f64 y (-.f64 (log.f64 z) z) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 1/2 (fma.f64 y (-.f64 (log.f64 z) z) y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 1/2 (fma.f64 y (-.f64 (log.f64 z) z) y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x 1/2 (fma.f64 y (-.f64 (log.f64 z) z) y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x 1/2 (fma.f64 y (-.f64 (log.f64 z) z) y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x 1/2 (fma.f64 y (-.f64 (log.f64 z) z) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x 1/2 (fma.f64 y (-.f64 (log.f64 z) z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 1/2 (fma.f64 y (-.f64 (log.f64 z) z) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (fma.f64 y (-.f64 (log.f64 z) z) y)) (exp.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 y (-.f64 (log.f64 z) z) y))) (exp.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 x 1/2)) (+.f64 1 (expm1.f64 (fma.f64 y (-.f64 (log.f64 z) z) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x 1/2 (fma.f64 y (-.f64 (log.f64 z) z) y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x 1/2 (fma.f64 y (-.f64 (log.f64 z) z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x 1/2 (fma.f64 y (-.f64 (log.f64 z) z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x 1/2 (fma.f64 y (-.f64 (log.f64 z) z) y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 x 1/2 (fma.f64 y (-.f64 (log.f64 z) z) y)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x 1/2 (fma.f64 y (-.f64 (log.f64 z) z) y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x 1/2 (fma.f64 y (-.f64 (log.f64 z) z) y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x 1/2 (fma.f64 y (-.f64 (log.f64 z) z) y))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x 1/2 (fma.f64 y (-.f64 (log.f64 z) z) y))))))))

simplify117.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

711×	`unsub-neg_binary64`
548×	`sub-neg_binary64`
512×	`fma-def_binary64`
456×	`distribute-lft-out--_binary64`
368×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	54	837
1	164	735
2	391	735
3	979	735
4	2715	735
5	5099	735
6	6288	735
7	6893	735
8	7254	735
9	7481	735
10	7567	735

Stop Event

1×	node limit

Counts

258 → 213

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

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

eval361.0ms (3.4%)

Compiler: Compiled 7734 to 3955 computations (48.9% saved)

prune194.0ms (1.8%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	409	16	425
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	410	17	427

Error

0.0b

Counts

427 → 17

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.6b	(fma.f64 x 1/2 (fma.f64 y (pow.f64 (cbrt.f64 (-.f64 (log.f64 z) z)) 3) y))
	0.2b	(+.f64 (.f64 x 1/2) (fma.f64 (cbrt.f64 (pow.f64 (log.f64 z) 2)) (.f64 (cbrt.f64 (log.f64 z)) y) (*.f64 y (-.f64 1 z))))
	34.7b	(+.f64 (.f64 x 1/2) (pow.f64 (sqrt.f64 (.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))) 2))
	0.7b	(fma.f64 (.f64 (+.f64 (-.f64 1 z) (log.f64 z)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (.f64 x 1/2))
	0.1b	(fma.f64 (-.f64 1 z) y (fma.f64 y (log.f64 z) (*.f64 x 1/2)))
	11.9b	(+.f64 (.f64 x 1/2) (/.f64 (.f64 y (-.f64 (pow.f64 (-.f64 1 z) 2) (pow.f64 (log.f64 z) 2))) (-.f64 1 (+.f64 z (log.f64 z)))))
▶	19.0b	(+.f64 (.f64 y (log.f64 z)) (+.f64 (.f64 1/2 x) y))
✓	0.1b	(+.f64 (.f64 x 1/2) (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))
▶	33.3b	(*.f64 1/2 x)
	19.0b	(+.f64 (.f64 x 1/2) (.f64 (+.f64 1 (log.f64 z)) y))
	28.4b	(+.f64 (.f64 x 1/2) (cbrt.f64 (pow.f64 (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) 3)))
	15.2b	(+.f64 (.f64 x 1/2) (.f64 y (neg.f64 z)))
	29.6b	(+.f64 (.f64 x 1/2) (fma.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) (log.f64 z)) (*.f64 y (-.f64 1 z))))
	29.7b	(fma.f64 (.f64 (+.f64 (-.f64 1 z) (log.f64 z)) (sqrt.f64 y)) (sqrt.f64 y) (.f64 x 1/2))
▶	0.1b	(+.f64 (.f64 x 1/2) (.f64 y (-.f64 1 (-.f64 z (log.f64 z)))))
▶	35.6b	(/.f64 (-.f64 (pow.f64 (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) 2) (.f64 (.f64 x x) 1/4)) (-.f64 (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) (*.f64 x 1/2)))
	30.2b	(+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))

Compiler

Compiled 565 to 401 computations (29% saved)

localize9.0ms (0.1%)

Local error

Found 8 expressions with local error:

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

series6.0ms (0.1%)

Counts

4 → 84

Calls

21 calls:

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

rewrite84.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

620×	`log-prod_binary64`
550×	`fma-def_binary64`
351×	`pow2_binary64`
255×	`fma-neg_binary64`
239×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	43
1	263	43
2	3653	43

Stop Event

1×	node limit

Counts

4 → 262

Calls

Call 1

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

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

simplify159.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

960×	`unsub-neg_binary64`
633×	`fma-def_binary64`
544×	`sub-neg_binary64`
503×	`fma-neg_binary64`
302×	`distribute-neg-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	45	950
1	132	932
2	337	928
3	954	826
4	2484	826
5	5155	826
6	6677	826
7	7525	826

Stop Event

1×	node limit

Counts

346 → 293

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

localize2.0ms (0%)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

series28.0ms (0.3%)

Counts

2 → 31

Calls

15 calls:

Time	Variable		Point	Expression
10.0ms	z	@	-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	@	0	(*.f64 y (log.f64 z))
0.0ms	y	@	-inf	(*.f64 y (log.f64 z))

rewrite133.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

552×	`fma-def_binary64`
532×	`log-prod_binary64`
393×	`pow-prod-down_binary64`
302×	`fma-neg_binary64`
294×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	17
1	220	17
2	3073	17

Stop Event

1×	node limit

Counts

2 → 110

Calls

Call 1

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

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

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

simplify188.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1344×	`distribute-lft-out--_binary64`
659×	`unsub-neg_binary64`
557×	`fma-def_binary64`
352×	`distribute-neg-in_binary64`
329×	`*-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	33	340
1	83	300
2	199	268
3	441	268
4	975	268
5	2773	268
6	4058	268
7	5163	268
8	5835	268
9	6123	268
10	6254	268
11	6353	268
12	6361	268
13	6362	268
14	6362	268
15	6451	268
16	6500	268
17	6520	268
18	6520	268

Stop Event

1×	node limit

Counts

141 → 122

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

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

localize39.0ms (0.4%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.2b	(pow.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) 2)
	0.2b	(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))
	0.0b	(+.f64 (-.f64 1 z) (log.f64 z))
	0.0b	(-.f64 (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) (.f64 x 1/2))
	0.2b	(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))
✓	0.2b	(pow.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) 2)
✓	5.4b	(-.f64 (pow.f64 (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) 2) (.f64 (*.f64 x x) 1/4))
✓	33.3b	(/.f64 (-.f64 (pow.f64 (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) 2) (.f64 (.f64 x x) 1/4)) (-.f64 (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) (*.f64 x 1/2)))

series103.0ms (1%)

Counts

3 → 96

Calls

24 calls:

Time	Variable		Point	Expression
84.0ms	z	@	0	(-.f64 (pow.f64 (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) 2) (.f64 (*.f64 x x) 1/4))
2.0ms	z	@	inf	(/.f64 (-.f64 (pow.f64 (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) 2) (.f64 (.f64 x x) 1/4)) (-.f64 (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) (*.f64 x 1/2)))
2.0ms	z	@	0	(/.f64 (-.f64 (pow.f64 (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) 2) (.f64 (.f64 x x) 1/4)) (-.f64 (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) (*.f64 x 1/2)))
2.0ms	z	@	-inf	(/.f64 (-.f64 (pow.f64 (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) 2) (.f64 (.f64 x x) 1/4)) (-.f64 (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) (*.f64 x 1/2)))
1.0ms	y	@	0	(/.f64 (-.f64 (pow.f64 (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) 2) (.f64 (.f64 x x) 1/4)) (-.f64 (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) (*.f64 x 1/2)))

rewrite106.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

533×	`fma-neg_binary64`
367×	`expm1-udef_binary64`
366×	`log1p-udef_binary64`
228×	`add-sqr-sqrt_binary64`
222×	`pow1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	83
1	450	55
2	6621	55

Stop Event

1×	node limit

Counts

3 → 139

Calls

Call 1

Inputs

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

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 1/2) (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (pow.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) 2) (fma.f64 y (+.f64 (-.f64 1 z) (log.f64 z)) (*.f64 x -1/2))) (neg.f64 (*.f64 1/4 (/.f64 (*.f64 x x) (fma.f64 y (+.f64 (-.f64 1 z) (log.f64 z)) (*.f64 x -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (-.f64 1 z)) (+.f64 (*.f64 y (log.f64 z)) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) 2) (fma.f64 y (+.f64 (-.f64 1 z) (log.f64 z)) (*.f64 x -1/2))) (*.f64 1/4 (/.f64 (*.f64 x x) (fma.f64 y (+.f64 (-.f64 1 z) (log.f64 z)) (*.f64 x -1/2)))))))) (#(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 1 (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 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) 2) (*.f64 (*.f64 x x) -1/4)) (/.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 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) 2) (*.f64 (*.f64 x x) -1/4))) 2) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) 2) (*.f64 (*.f64 x x) -1/4))) (/.f64 1 (fma.f64 y (+.f64 (-.f64 1 z) (log.f64 z)) (*.f64 x -1/2)))))))) (#(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 (+.f64 (pow.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) 2) (*.f64 (*.f64 x x) -1/4))) (*.f64 (sqrt.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) 2) (*.f64 (*.f64 x x) -1/4))) (/.f64 1 (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 (neg.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) 2) (*.f64 (*.f64 x x) -1/4))) (/.f64 1 (neg.f64 (fma.f64 y (+.f64 (-.f64 1 z) (log.f64 z)) (*.f64 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 y (+.f64 (-.f64 1 z) (log.f64 z)) 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simplify194.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

614×	`distribute-rgt-in_binary64`
597×	`distribute-lft-in_binary64`
586×	`times-frac_binary64`
400×	`associate-/l*_binary64`
337×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	159	3869
1	576	3434
2	2358	3277

Stop Event

1×	node limit

Counts

235 → 195

Calls

Call 1

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

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

localize11.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.4b	(cbrt.f64 (-.f64 (log.f64 z) z))
	0.2b	(fma.f64 y (pow.f64 (cbrt.f64 (-.f64 (log.f64 z) z)) 3) y)
	0.0b	(-.f64 (log.f64 z) z)
	0.0b	(fma.f64 x 1/2 (fma.f64 y (pow.f64 (cbrt.f64 (-.f64 (log.f64 z) z)) 3) y))
	0.0b	(-.f64 (log.f64 z) z)
✓	0.2b	(fma.f64 y (pow.f64 (cbrt.f64 (-.f64 (log.f64 z) z)) 3) y)
✓	0.4b	(cbrt.f64 (-.f64 (log.f64 z) z))
✓	0.7b	(pow.f64 (cbrt.f64 (-.f64 (log.f64 z) z)) 3)

series17.0ms (0.2%)

Counts

3 → 26

Calls

12 calls:

Time	Variable		Point	Expression
6.0ms	z	@	0	(pow.f64 (cbrt.f64 (-.f64 (log.f64 z) z)) 3)
3.0ms	y	@	0	(fma.f64 y (pow.f64 (cbrt.f64 (-.f64 (log.f64 z) z)) 3) y)
2.0ms	z	@	inf	(pow.f64 (cbrt.f64 (-.f64 (log.f64 z) z)) 3)
1.0ms	z	@	-inf	(cbrt.f64 (-.f64 (log.f64 z) z))
1.0ms	z	@	0	(fma.f64 y (pow.f64 (cbrt.f64 (-.f64 (log.f64 z) z)) 3) y)

rewrite60.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

885×	`pow1_binary64`
829×	`add-log-exp_binary64`
829×	`log1p-expm1-u_binary64`
829×	`expm1-log1p-u_binary64`
809×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	24
1	197	24
2	2246	24

Stop Event

1×	node limit

Counts

3 → 84

Calls

Call 1

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

Outputs

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

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

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

simplify73.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

926×	`fma-def_binary64`
457×	`associate-+r+_binary64`
453×	`associate-+l+_binary64`
448×	`times-frac_binary64`
342×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	114	1268
1	384	1107
2	1440	1068
3	5855	1060
4	7025	1060

Stop Event

1×	node limit

Counts

110 → 112

Calls

Call 1

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

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

eval548.0ms (5.2%)

Compiler: Compiled 26270 to 15076 computations (42.6% saved)

prune217.0ms (2.1%)

Pruning

25 alts after pruning (22 fresh and 3 done)

	Pruned	Kept	Total
New	950	16	966
Fresh	5	6	11
Picked	1	0	1
Done	2	3	5
Total	958	25	983

Error

Counts

983 → 25

Alt Table

Click to see full alt table

Status	Error	Program
	32.1b	(+.f64 (cbrt.f64 (pow.f64 (.f64 y (log.f64 z)) 3)) (+.f64 (.f64 1/2 x) y))
	51.6b	(/.f64 (.f64 y (.f64 y (pow.f64 (+.f64 (log.f64 z) (-.f64 1 z)) 2))) (-.f64 (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) (.f64 x 1/2)))
	0.4b	(-.f64 (+.f64 (.f64 1/2 x) (+.f64 (.f64 -1 (.f64 y z)) (.f64 2 (.f64 y (+.f64 1 (.f64 -1 (log.f64 (/.f64 1 z)))))))) (.f64 y (+.f64 1 (.f64 -1 (log.f64 (/.f64 1 z))))))
	15.8b	(+.f64 (.f64 x 1/2) (.f64 y (-.f64 1 z)))
▶	44.7b	(*.f64 y (neg.f64 z))
	48.5b	(*.f64 (+.f64 1 (log.f64 z)) y)
	29.7b	(fma.f64 (.f64 (+.f64 (-.f64 1 z) (log.f64 z)) (sqrt.f64 y)) (sqrt.f64 y) (.f64 x 1/2))
	11.9b	(+.f64 (.f64 x 1/2) (/.f64 (.f64 y (-.f64 1 (pow.f64 (-.f64 z (log.f64 z)) 2))) (+.f64 1 (-.f64 z (log.f64 z)))))
	0.7b	(fma.f64 (.f64 (+.f64 (-.f64 1 z) (log.f64 z)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (.f64 x 1/2))
▶	40.2b	(+.f64 (pow.f64 (sqrt.f64 (.f64 y (log.f64 z))) 2) (+.f64 (.f64 1/2 x) y))
	19.0b	(+.f64 (.f64 1/2 x) (.f64 (+.f64 1 (log.f64 z)) y))
✓	19.0b	(+.f64 (.f64 y (log.f64 z)) (+.f64 (.f64 1/2 x) y))
	35.6b	(/.f64 (-.f64 (+.f64 (.f64 (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) (.f64 y (-.f64 1 z))) (.f64 (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) (.f64 y (log.f64 z)))) (.f64 (.f64 x x) 1/4)) (-.f64 (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) (.f64 x 1/2)))
	30.2b	(*.f64 y (+.f64 (log.f64 z) (-.f64 1 z)))
▶	30.2b	(+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))
▶	28.4b	(+.f64 (.f64 x 1/2) (cbrt.f64 (pow.f64 (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) 3)))
	15.2b	(+.f64 (.f64 x 1/2) (.f64 y (neg.f64 z)))
	1.8b	(+.f64 (.f64 x 1/2) (.f64 y (-.f64 1 (expm1.f64 (log1p.f64 (-.f64 z (log.f64 z)))))))
	34.7b	(+.f64 (.f64 x 1/2) (pow.f64 (sqrt.f64 (.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))) 2))
	19.3b	(+.f64 (pow.f64 (cbrt.f64 (.f64 y (log.f64 z))) 3) (+.f64 (.f64 1/2 x) y))
✓	33.3b	(*.f64 1/2 x)
✓	0.1b	(+.f64 (.f64 x 1/2) (.f64 y (-.f64 1 (-.f64 z (log.f64 z)))))
▶	0.2b	(pow.f64 (/.f64 1 (fma.f64 y (+.f64 (-.f64 1 z) (log.f64 z)) (*.f64 x 1/2))) -1)
	48.5b	(+.f64 (*.f64 y (log.f64 z)) y)
	1.7b	(+.f64 (.f64 x 1/2) (.f64 y (-.f64 1 (exp.f64 (log.f64 (-.f64 z (log.f64 z)))))))

Compiler

Compiled 824 to 595 computations (27.8% saved)

localize11.0ms (0.1%)

Local error

Found 8 expressions with local error:

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

series28.0ms (0.3%)

Counts

3 → 108

Calls

27 calls:

Time	Variable		Point	Expression
5.0ms	z	@	-inf	(pow.f64 (/.f64 1 (fma.f64 y (+.f64 (-.f64 1 z) (log.f64 z)) (*.f64 x 1/2))) -1)
3.0ms	x	@	0	(pow.f64 (/.f64 1 (fma.f64 y (+.f64 (-.f64 1 z) (log.f64 z)) (*.f64 x 1/2))) -1)
3.0ms	z	@	inf	(pow.f64 (/.f64 1 (fma.f64 y (+.f64 (-.f64 1 z) (log.f64 z)) (*.f64 x 1/2))) -1)
2.0ms	y	@	0	(pow.f64 (/.f64 1 (fma.f64 y (+.f64 (-.f64 1 z) (log.f64 z)) (*.f64 x 1/2))) -1)
1.0ms	z	@	0	(pow.f64 (/.f64 1 (fma.f64 y (+.f64 (-.f64 1 z) (log.f64 z)) (*.f64 x 1/2))) -1)

rewrite73.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

990×	`prod-diff_binary64`
593×	`log-prod_binary64`
342×	`fma-def_binary64`
240×	`expm1-udef_binary64`
239×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	63
1	299	51
2	3774	51

Stop Event

1×	node limit

Counts

3 → 126

Calls

Call 1

Inputs

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

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

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

Outputs

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(-.f64 1 z) (log.f64 z)) (*.f64 x 1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y (+.f64 (-.f64 1 z) (log.f64 z)) (*.f64 x 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 y (+.f64 (-.f64 1 z) (log.f64 z)) (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 y (+.f64 (-.f64 1 z) (log.f64 z)) (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 1/2) x) (exp.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x 1/2))) (exp.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))) (+.f64 1 (expm1.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y (+.f64 (-.f64 1 z) (log.f64 z)) (*.f64 x 1/2)) 3))))) (#(struct:change 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simplify97.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

560×	`associate-*l/_binary64`
377×	`fma-def_binary64`
229×	`associate-r_binary64`
212×	`+-commutative_binary64`
211×	`associate-/r/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	305	4204
1	1064	4012
2	4795	3887

Stop Event

1×	node limit

Counts

234 → 164

Calls

Call 1

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

localize3.0ms (0%)

localize7.0ms (0.1%)

Local error

Found 6 expressions with local error:

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

series4.0ms (0%)

Counts

2 → 36

Calls

12 calls:

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

rewrite55.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

955×	`pow1_binary64`
889×	`add-log-exp_binary64`
889×	`log1p-expm1-u_binary64`
889×	`expm1-log1p-u_binary64`
86×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	21
1	157	19
2	2361	19

Stop Event

1×	node limit

Counts

2 → 57

Calls

Call 1

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

Outputs

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

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

simplify135.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

895×	`unsub-neg_binary64`
610×	`fma-neg_binary64`
517×	`distribute-rgt-out_binary64`
502×	`distribute-rgt-out--_binary64`
385×	`distribute-neg-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	36	397
1	100	397
2	262	370
3	698	328
4	1739	328
5	4530	328
6	5379	328
7	5878	328
8	6074	328
9	6172	328
10	6195	328
11	7493	328
12	7709	328
13	7923	328
14	7924	328
15	7924	328

Stop Event

1×	node limit

Counts

93 → 71

Calls

Call 1

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

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

localize15.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.3b	(pow.f64 (sqrt.f64 (*.f64 y (log.f64 z))) 2)
	0.2b	(*.f64 y (log.f64 z))
	0.1b	(sqrt.f64 (*.f64 y (log.f64 z)))
	0.1b	(+.f64 (pow.f64 (sqrt.f64 (.f64 y (log.f64 z))) 2) (+.f64 (.f64 1/2 x) y))
✓	0.1b	(+.f64 (pow.f64 (sqrt.f64 (.f64 y (log.f64 z))) 2) (+.f64 (.f64 1/2 x) y))
✓	0.1b	(sqrt.f64 (*.f64 y (log.f64 z)))
	0.2b	(*.f64 y (log.f64 z))
✓	0.3b	(pow.f64 (sqrt.f64 (*.f64 y (log.f64 z))) 2)

series14.0ms (0.1%)

Counts

3 → 48

Calls

21 calls:

Time	Variable		Point	Expression
4.0ms	y	@	0	(pow.f64 (sqrt.f64 (*.f64 y (log.f64 z))) 2)
1.0ms	y	@	-inf	(pow.f64 (sqrt.f64 (*.f64 y (log.f64 z))) 2)
1.0ms	y	@	inf	(pow.f64 (sqrt.f64 (*.f64 y (log.f64 z))) 2)
1.0ms	z	@	inf	(pow.f64 (sqrt.f64 (*.f64 y (log.f64 z))) 2)
1.0ms	z	@	-inf	(pow.f64 (sqrt.f64 (*.f64 y (log.f64 z))) 2)

rewrite68.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

601×	`fma-def_binary64`
595×	`log-prod_binary64`
330×	`pow2_binary64`
328×	`fma-neg_binary64`
228×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	27
1	285	25
2	3492	25

Stop Event

1×	node limit

Counts

3 → 157

Calls

Call 1

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

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

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 y (log.f64 z) (fma.f64 1/2 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 y (log.f64 z)) 2) (-.f64 (*.f64 y (log.f64 z)) (fma.f64 1/2 x y))) (/.f64 (pow.f64 (fma.f64 1/2 x y) 2) (-.f64 (*.f64 y (log.f64 z)) (fma.f64 1/2 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y (log.f64 z) (fma.f64 1/2 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 y (log.f64 z) (fma.f64 1/2 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y (log.f64 z) (fma.f64 1/2 x y))) (pow.f64 (cbrt.f64 (fma.f64 y (log.f64 z) (fma.f64 1/2 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y (log.f64 z) (fma.f64 1/2 x y))) 2) (cbrt.f64 (fma.f64 y (log.f64 z) (fma.f64 1/2 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y (log.f64 z) (fma.f64 1/2 x y))) (sqrt.f64 (fma.f64 y (log.f64 z) (fma.f64 1/2 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 y (log.f64 z)) 3) (pow.f64 (fma.f64 1/2 x y) 3)) (/.f64 1 (fma.f64 (fma.f64 1/2 x y) (-.f64 (fma.f64 1/2 x y) (*.f64 y (log.f64 z))) (pow.f64 (*.f64 y (log.f64 z)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 y (log.f64 z)) 2) (pow.f64 (fma.f64 1/2 x y) 2)) (/.f64 1 (-.f64 (*.f64 y (log.f64 z)) (fma.f64 1/2 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (fma.f64 1/2 x y) (-.f64 (fma.f64 1/2 x y) (*.f64 y (log.f64 z))) (pow.f64 (*.f64 y (log.f64 z)) 2)) (+.f64 (pow.f64 (*.f64 y (log.f64 z)) 3) (pow.f64 (fma.f64 1/2 x y) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 y (log.f64 z)) (fma.f64 1/2 x y)) (-.f64 (pow.f64 (*.f64 y (log.f64 z)) 2) (pow.f64 (fma.f64 1/2 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y (log.f64 z)) 3) (pow.f64 (fma.f64 1/2 x y) 3)) (fma.f64 (fma.f64 1/2 x y) (-.f64 (fma.f64 1/2 x y) (*.f64 y (log.f64 z))) (pow.f64 (*.f64 y (log.f64 z)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y (log.f64 z)) 3) (pow.f64 (fma.f64 1/2 x y) 3)) (+.f64 (pow.f64 (fma.f64 1/2 x y) 2) (-.f64 (pow.f64 (*.f64 y (log.f64 z)) 2) (*.f64 (log.f64 z) (*.f64 y (fma.f64 1/2 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 y (log.f64 z)) 2) (pow.f64 (fma.f64 1/2 x y) 2)) (-.f64 (*.f64 y (log.f64 z)) (fma.f64 1/2 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y (log.f64 z)) 3) (pow.f64 (fma.f64 1/2 x y) 3))) (neg.f64 (fma.f64 (fma.f64 1/2 x y) (-.f64 (fma.f64 1/2 x y) (*.f64 y (log.f64 z))) (pow.f64 (*.f64 y (log.f64 z)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y (log.f64 z)) 2) (pow.f64 (fma.f64 1/2 x y) 2))) (neg.f64 (-.f64 (*.f64 y (log.f64 z)) (fma.f64 1/2 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 y (log.f64 z) (*.f64 1/2 x)) 3) (pow.f64 y 3)) (+.f64 (pow.f64 (fma.f64 y (log.f64 z) (*.f64 1/2 x)) 2) (-.f64 (*.f64 y y) (*.f64 (fma.f64 y (log.f64 z) (*.f64 1/2 x)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 1/2 x y) 2) (pow.f64 (*.f64 y (log.f64 z)) 2)) (-.f64 (fma.f64 1/2 x y) (*.f64 y (log.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 y (log.f64 z) (*.f64 1/2 x)) 2) (*.f64 y y)) (-.f64 (fma.f64 y (log.f64 z) (*.f64 1/2 x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y (log.f64 z) (fma.f64 1/2 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y (log.f64 z) (fma.f64 1/2 x y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y (log.f64 z) (fma.f64 1/2 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y (log.f64 z) (fma.f64 1/2 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 y (log.f64 z) (fma.f64 1/2 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (fma.f64 1/2 x y) (-.f64 (fma.f64 1/2 x y) (*.f64 y (log.f64 z))) (pow.f64 (*.f64 y (log.f64 z)) 2)) (+.f64 (pow.f64 (*.f64 y (log.f64 z)) 3) (pow.f64 (fma.f64 1/2 x y) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (*.f64 y (log.f64 z)) (fma.f64 1/2 x y)) (-.f64 (pow.f64 (*.f64 y (log.f64 z)) 2) (pow.f64 (fma.f64 1/2 x y) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y (log.f64 z) (fma.f64 1/2 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 z y) (exp.f64 (fma.f64 1/2 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 y (log.f64 z) (fma.f64 1/2 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 y) (exp.f64 (fma.f64 y (log.f64 z) (*.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 y)) (exp.f64 (fma.f64 y (log.f64 z) (*.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 y) (*.f64 (pow.f64 z y) (sqrt.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 y)) (*.f64 (pow.f64 z y) (sqrt.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (-.f64 (pow.f64 z y) 1)) (exp.f64 (fma.f64 1/2 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 z y) (+.f64 1 (expm1.f64 (fma.f64 1/2 x 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 1/2 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 x y))) (pow.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (fma.f64 1/2 x 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 1/2 x y))) (+.f64 1 (-.f64 (pow.f64 z y) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (*.f64 (pow.f64 z y) (sqrt.f64 (exp.f64 x))) (exp.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (fma.f64 y (log.f64 z) (*.f64 1/2 x))) (+.f64 1 (expm1.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (*.f64 (pow.f64 z y) (sqrt.f64 (exp.f64 x))) (+.f64 1 (expm1.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y (log.f64 z) (fma.f64 1/2 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (log.f64 z) (fma.f64 1/2 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y 1 (fma.f64 y (log.f64 z) (*.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log.f64 z) y (fma.f64 1/2 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (log.f64 z)) 1 (fma.f64 1/2 x y))))) (#(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 1/2 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 x (+.f64 y (*.f64 y (log.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1/2 (+.f64 y (*.f64 y (log.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 x) 1 (+.f64 y (*.f64 y (log.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 1/2 x y) 1 (*.f64 y (log.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 y (fma.f64 y (log.f64 z) (*.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y (log.f64 z)) (fma.f64 1/2 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/2 x) (+.f64 y (*.f64 y (log.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 1/2 x y) (*.f64 y (log.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 y (log.f64 z) (*.f64 1/2 x)) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/2 x)) (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2) (+.f64 y (*.f64 y (log.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2) (cbrt.f64 (*.f64 1/2 x)) (+.f64 y (*.f64 y (log.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 y (log.f64 z))) (pow.f64 (cbrt.f64 (*.f64 y (log.f64 z))) 2) (fma.f64 1/2 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 y (log.f64 z))) (*.f64 (pow.f64 (*.f64 y (log.f64 z)) 1/6) (sqrt.f64 (*.f64 y (log.f64 z)))) (fma.f64 1/2 x y))))) (#(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))) (fma.f64 1/2 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) 2) (fma.f64 y (log.f64 z) (*.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y) (fma.f64 y (log.f64 z) (*.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (log.f64 z)) (fma.f64 1/2 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 1/2 x y)) (pow.f64 (cbrt.f64 (fma.f64 1/2 x y)) 2) (*.f64 y (log.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x y)) 2) (cbrt.f64 (fma.f64 1/2 x y)) (*.f64 y (log.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/2) (+.f64 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) (fma.f64 1/2 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 1/2 x)) (sqrt.f64 (*.f64 1/2 x)) (+.f64 y (*.f64 y (log.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (sqrt.f64 y) (fma.f64 y (log.f64 z) (*.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (log.f64 z)) (fma.f64 1/2 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 (log.f64 z)) (sqrt.f64 (*.f64 y (log.f64 z)))) (fma.f64 1/2 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 1/2 x y)) (sqrt.f64 (fma.f64 1/2 x y)) (*.f64 y (log.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 y (log.f64 z)) 1/4) (*.f64 (pow.f64 (*.f64 y (log.f64 z)) 1/4) (sqrt.f64 (*.f64 y (log.f64 z)))) (fma.f64 1/2 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/2) (+.f64 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) (fma.f64 1/2 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 1 (fma.f64 y (-.f64 y (*.f64 1/2 x)) (*.f64 1/4 (*.f64 x x)))) (*.f64 y (log.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 1/4 (*.f64 x x) (neg.f64 (*.f64 y y))) (/.f64 1 (fma.f64 1/2 x (neg.f64 y))) (*.f64 y (log.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 y (log.f64 z) (*.f64 1/2 x)) 1 y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (pow.f64 (*.f64 y (log.f64 z)) 1/4) 3) (pow.f64 (*.f64 y (log.f64 z)) 1/4) (fma.f64 1/2 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 y (log.f64 z) (*.f64 1/2 x))) 2) (cbrt.f64 (fma.f64 y (log.f64 z) (*.f64 1/2 x))) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 y (log.f64 z) (*.f64 1/2 x))) (sqrt.f64 (fma.f64 y (log.f64 z) (*.f64 1/2 x))) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (+.f64 y (*.f64 y (log.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x) (+.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)) (fma.f64 1/2 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (sqrt.f64 (log.f64 z))) (sqrt.f64 (log.f64 z)) (fma.f64 1/2 x 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 1/2 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (log.f64 z) (sqrt.f64 y)) (sqrt.f64 y) (fma.f64 1/2 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 (*.f64 y (log.f64 z))) (cbrt.f64 (*.f64 y (log.f64 z)))) (pow.f64 (*.f64 y (log.f64 z)) 1/6) (fma.f64 1/2 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 (*.f64 y (log.f64 z))) (sqrt.f64 y)) (sqrt.f64 (log.f64 z)) (fma.f64 1/2 x y))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y (log.f64 z) (fma.f64 1/2 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 y (log.f64 z) (fma.f64 1/2 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 y (log.f64 z) (fma.f64 1/2 x y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y (log.f64 z) (fma.f64 1/2 x y))))))))

simplify59.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1035×	`unsub-neg_binary64`
773×	`fma-def_binary64`
406×	`sub-neg_binary64`
314×	`associate--l-_binary64`
274×	`neg-mul-1_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	33	461
1	76	453
2	171	453
3	396	421
4	1063	421
5	3899	421
6	7158	421

Stop Event

1×	node limit

Counts

205 → 173

Calls

Call 1

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

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

localize14.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.3b	(pow.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) 3)
	0.2b	(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))
	0.0b	(+.f64 (-.f64 1 z) (log.f64 z))
	0.0b	(+.f64 (.f64 x 1/2) (cbrt.f64 (pow.f64 (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) 3)))
	0.0b	(+.f64 (-.f64 1 z) (log.f64 z))
	0.2b	(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))
✓	0.3b	(pow.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) 3)
✓	40.1b	(cbrt.f64 (pow.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) 3))

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 (-.f64 1 z) (log.f64 z))) 3))
1.0ms	z	@	-inf	(pow.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) 3)
1.0ms	z	@	inf	(pow.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) 3)
1.0ms	z	@	0	(pow.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) 3)
1.0ms	y	@	0	(pow.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) 3)

rewrite60.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

512×	`log-prod_binary64`
398×	`pow-prod-down_binary64`
365×	`fma-def_binary64`
282×	`pow2_binary64`
208×	`pow-to-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	27
1	247	27
2	3149	27

Stop Event

1×	node limit

Counts

2 → 111

Calls

Call 1

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

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 y (+.f64 (-.f64 1 z) (log.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))) (cbrt.f64 (pow.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) 2)) (cbrt.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y y)) (*.f64 (cbrt.f64 y) (+.f64 (-.f64 1 z) (log.f64 z))))))) (#(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 (sqrt.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))) (sqrt.f64 (*.f64 y (+.f64 (-.f64 1 z) 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pow.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) 1)))) (#(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 pow.f64 (pow.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) 6) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) 9) 1/9)))) (#(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 (cbrt.f64 (pow.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) 2)) 3/2)))) (#(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))) 3/2) 2/3)))) (#(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 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 (cbrt.f64 (*.f64 y y)) (*.f64 (cbrt.f64 y) (-.f64 1 z)) (*.f64 y (log.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 y y)) (*.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 (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 (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 (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 (sqrt.f64 (*.f64 y (log.f64 z))) (sqrt.f64 (*.f64 y (log.f64 z))) (*.f64 y (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y (-.f64 1 z))) (sqrt.f64 (*.f64 y (-.f64 1 z))) (*.f64 y (log.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 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 (-.f64 1 z) (cbrt.f64 (*.f64 y y))) (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) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y) (*.f64 y (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (log.f64 z) (sqrt.f64 y)) (sqrt.f64 y) (*.f64 y (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.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 (*.f64 2 (log.f64 (cbrt.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))) 2))))) (#(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 +.f64 0 (pow.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 y (-.f64 1 z)) (pow.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) 2)) (*.f64 (*.f64 y (log.f64 z)) (pow.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) 2) (*.f64 y (-.f64 1 z))) (*.f64 (pow.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) 2) (*.f64 y (log.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) 3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) 3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) (pow.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (-.f64 1 z) (log.f64 z)) (*.f64 y (pow.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) (pow.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) 2) (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) 2)) (*.f64 (cbrt.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))) (pow.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))) (pow.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) 5/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 y 3) (pow.f64 (+.f64 (-.f64 1 z) (log.f64 z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 (-.f64 1 z) (log.f64 z)) 3) (pow.f64 y 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) 3/2) (pow.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) 5/2) (sqrt.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) 2) y) (+.f64 (-.f64 1 z) (log.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) 2) 1) (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) 2) (+.f64 (-.f64 1 z) (log.f64 z))) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) (cbrt.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))) 2) (cbrt.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) 9))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) 2) (*.f64 y (-.f64 1 z)) (*.f64 (pow.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) 2) (*.f64 y (log.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (-.f64 1 z)) (pow.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) 2) (*.f64 (*.f64 y (log.f64 z)) (pow.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 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 exp.f64 (*.f64 (*.f64 2 (+.f64 (log.f64 y) (log1p.f64 (fma.f64 -1 z (log.f64 z))))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) 9)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3/2 (+.f64 (log.f64 y) (log1p.f64 (fma.f64 -1 z (log.f64 z))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) 3)))))))

simplify98.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

804×	`fma-def_binary64`
792×	`fma-neg_binary64`
628×	`distribute-rgt-in_binary64`
621×	`distribute-lft-in_binary64`
279×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	94	1061
1	319	1030
2	1427	978
3	6611	967

Stop Event

1×	node limit

Counts

159 → 142

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

eval373.0ms (3.6%)

Compiler: Compiled 19572 to 11629 computations (40.6% saved)

prune161.0ms (1.5%)

Pruning

25 alts after pruning (21 fresh and 4 done)

	Pruned	Kept	Total
New	854	17	871
Fresh	13	4	17
Picked	1	0	1
Done	3	4	7
Total	871	25	896

Error

Counts

896 → 25

Alt Table

Click to see full alt table

Status	Error	Program
	51.6b	(/.f64 (.f64 y (.f64 y (pow.f64 (+.f64 (log.f64 z) (-.f64 1 z)) 2))) (-.f64 (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) (.f64 x 1/2)))
▶	0.4b	(-.f64 (+.f64 (.f64 1/2 x) (+.f64 (.f64 -1 (.f64 y z)) (.f64 2 (.f64 y (+.f64 1 (.f64 -1 (log.f64 (/.f64 1 z)))))))) (.f64 y (+.f64 1 (.f64 -1 (log.f64 (/.f64 1 z))))))
	54.0b	(+.f64 y (cbrt.f64 (pow.f64 (*.f64 y (-.f64 (log.f64 z) z)) 3)))
	40.5b	(+.f64 (.f64 (.f64 (log.f64 z) (sqrt.f64 y)) (sqrt.f64 y)) (+.f64 (*.f64 1/2 x) y))
✓	44.7b	(*.f64 y (neg.f64 z))
▶	48.5b	(*.f64 (+.f64 1 (log.f64 z)) y)
	48.9b	(.f64 (-.f64 (.f64 y y) (pow.f64 (.f64 y (-.f64 (log.f64 z) z)) 2)) (/.f64 1 (-.f64 y (.f64 y (-.f64 (log.f64 z) z)))))
	48.5b	(+.f64 (*.f64 y (log.f64 z)) y)
	44.7b	(pow.f64 (/.f64 (/.f64 -1 y) z) -1)
	30.3b	(pow.f64 (/.f64 (/.f64 1 y) (+.f64 (log.f64 z) (-.f64 1 z))) -1)
▶	19.0b	(+.f64 (.f64 1/2 x) (.f64 (+.f64 1 (log.f64 z)) y))
▶	40.3b	(+.f64 y (*.f64 y (cbrt.f64 (pow.f64 (-.f64 (log.f64 z) z) 3))))
✓	19.0b	(+.f64 (.f64 y (log.f64 z)) (+.f64 (.f64 1/2 x) y))
	30.9b	(+.f64 y (pow.f64 (cbrt.f64 (*.f64 y (-.f64 (log.f64 z) z))) 3))
✓	33.3b	(*.f64 1/2 x)
	15.2b	(+.f64 (.f64 x 1/2) (.f64 y (neg.f64 z)))
✓	30.2b	(+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))
	29.7b	(+.f64 (.f64 x 1/2) (.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) (sqrt.f64 y)) (sqrt.f64 y)))
	30.2b	(*.f64 (+.f64 (-.f64 (log.f64 z) z) 1) y)
	30.7b	(+.f64 y (*.f64 y (pow.f64 (cbrt.f64 (-.f64 (log.f64 z) z)) 3)))
	30.2b	(*.f64 y (+.f64 (log.f64 z) (-.f64 1 z)))
	38.7b	(+.f64 y (/.f64 (.f64 y (-.f64 (pow.f64 (log.f64 z) 2) (.f64 z z))) (+.f64 z (log.f64 z))))
▶	45.3b	(+.f64 y (*.f64 z (neg.f64 y)))
	33.3b	(pow.f64 (/.f64 2 x) -1)
	62.7b	y

Compiler

Compiled 657 to 465 computations (29.2% saved)

localize17.0ms (0.2%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.0b	(-.f64 (+.f64 (.f64 1/2 x) (+.f64 (.f64 -1 (.f64 y z)) (.f64 2 (.f64 y (+.f64 1 (.f64 -1 (log.f64 (/.f64 1 z)))))))) (.f64 y (+.f64 1 (.f64 -1 (log.f64 (/.f64 1 z))))))
	0.0b	(+.f64 (.f64 -1 (.f64 y z)) (.f64 2 (.f64 y (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 z)))))))
	0.0b	(+.f64 (.f64 1/2 x) (+.f64 (.f64 -1 (.f64 y z)) (.f64 2 (.f64 y (+.f64 1 (.f64 -1 (log.f64 (/.f64 1 z))))))))
	0.0b	(+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 z))))
✓	0.0b	(+.f64 (.f64 -1 (.f64 y z)) (.f64 2 (.f64 y (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 z)))))))
✓	0.0b	(-.f64 (+.f64 (.f64 1/2 x) (+.f64 (.f64 -1 (.f64 y z)) (.f64 2 (.f64 y (+.f64 1 (.f64 -1 (log.f64 (/.f64 1 z)))))))) (.f64 y (+.f64 1 (.f64 -1 (log.f64 (/.f64 1 z))))))
✓	0.2b	(log.f64 (/.f64 1 z))
✓	0.3b	(.f64 y (+.f64 1 (.f64 -1 (log.f64 (/.f64 1 z)))))

series46.0ms (0.4%)

Counts

4 → 68

Calls

24 calls:

Time	Variable		Point	Expression
19.0ms	y	@	0	(.f64 y (+.f64 1 (.f64 -1 (log.f64 (/.f64 1 z)))))
12.0ms	z	@	-inf	(.f64 y (+.f64 1 (.f64 -1 (log.f64 (/.f64 1 z)))))
3.0ms	x	@	0	(-.f64 (+.f64 (.f64 1/2 x) (+.f64 (.f64 -1 (.f64 y z)) (.f64 2 (.f64 y (+.f64 1 (.f64 -1 (log.f64 (/.f64 1 z)))))))) (.f64 y (+.f64 1 (.f64 -1 (log.f64 (/.f64 1 z))))))
1.0ms	y	@	inf	(-.f64 (+.f64 (.f64 1/2 x) (+.f64 (.f64 -1 (.f64 y z)) (.f64 2 (.f64 y (+.f64 1 (.f64 -1 (log.f64 (/.f64 1 z)))))))) (.f64 y (+.f64 1 (.f64 -1 (log.f64 (/.f64 1 z))))))
1.0ms	z	@	inf	(-.f64 (+.f64 (.f64 1/2 x) (+.f64 (.f64 -1 (.f64 y z)) (.f64 2 (.f64 y (+.f64 1 (.f64 -1 (log.f64 (/.f64 1 z)))))))) (.f64 y (+.f64 1 (.f64 -1 (log.f64 (/.f64 1 z))))))

rewrite113.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

673×	`fma-neg_binary64`
336×	`expm1-udef_binary64`
336×	`log1p-udef_binary64`
229×	`add-sqr-sqrt_binary64`
222×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	83
1	452	59
2	6704	59

Stop Event

1×	node limit

Counts

4 → 182

Calls

Call 1

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

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

simplify69.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

760×	`unsub-neg_binary64`
577×	`associate--l+_binary64`
482×	`distribute-neg-in_binary64`
417×	`associate-+l-_binary64`
365×	`fma-def_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	64	1553
1	246	1141
2	810	866
3	2697	852
4	6363	849

Stop Event

1×	node limit

Counts

250 → 212

Calls

Call 1

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

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

localize4.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(+.f64 y (*.f64 z (neg.f64 y)))
✓	0.0b	(+.f64 y (*.f64 z (neg.f64 y)))

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite44.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

618×	`pow1_binary64`
575×	`add-log-exp_binary64`
574×	`log1p-expm1-u_binary64`
574×	`expm1-log1p-u_binary64`
562×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	134	5
2	2002	5

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

Inputs
(+.f64 y (*.f64 z (neg.f64 y)))

Outputs

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

simplify25.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

160×	`fma-def_binary64`
65×	`fma-neg_binary64`
25×	`associate-l_binary64`
23×	`distribute-rgt-in_binary64`
22×	`unsub-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	181
1	35	160
2	66	160
3	107	160
4	187	160
5	322	160
6	520	160
7	537	160

Stop Event

1×

saturated

Counts

62 → 46

Calls

Call 1

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

localize5.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

series4.0ms (0%)

Counts

2 → 16

Calls

9 calls:

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

rewrite55.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

672×	`pow1_binary64`
621×	`add-log-exp_binary64`
621×	`log1p-expm1-u_binary64`
621×	`expm1-log1p-u_binary64`
609×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	138	15
2	1693	15

Stop Event

1×	node limit

Counts

2 → 51

Calls

Call 1

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

Outputs

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

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

simplify94.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

3262×	`fma-neg_binary64`
695×	`fma-def_binary64`
583×	`unsub-neg_binary64`
357×	`sub-neg_binary64`
349×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	184
1	45	120
2	109	104
3	307	104
4	618	104
5	1399	104
6	4424	104
7	5563	104
8	6092	104
9	6319	104
10	6387	104
11	6399	104
12	6415	104
13	6415	104

Stop Event

1×	node limit

Counts

67 → 57

Calls

Call 1

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

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

localize8.0ms (0.1%)

Local error

Found 6 expressions with local error:

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

series3.0ms (0%)

Counts

1 → 14

Calls

9 calls:

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

rewrite55.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

518×	`log-prod_binary64`
421×	`fma-def_binary64`
397×	`exp-prod_binary64`
351×	`pow-prod-down_binary64`
292×	`pow2_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	13
1	229	13
2	2969	11

Stop Event

1×	node limit

Counts

1 → 71

Calls

Call 1

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

Outputs

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

simplify140.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1009×	`distribute-rgt-in_binary64`
883×	`unsub-neg_binary64`
796×	`distribute-lft-in_binary64`
477×	`fma-neg_binary64`
436×	`distribute-neg-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	25	175
1	59	143
2	141	121
3	396	121
4	846	121
5	1852	121
6	4222	121
7	5435	121
8	6210	121
9	6679	121
10	6846	121
11	6872	121
12	6878	121
13	6878	121
14	6878	121
15	6910	121
16	6910	121

Stop Event

1×	node limit

Counts

85 → 77

Calls

Call 1

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

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

localize9.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.5b	(pow.f64 (-.f64 (log.f64 z) z) 3)
	0.2b	(*.f64 y (cbrt.f64 (pow.f64 (-.f64 (log.f64 z) z) 3)))
	0.2b	(+.f64 y (*.f64 y (cbrt.f64 (pow.f64 (-.f64 (log.f64 z) z) 3))))
	0.0b	(-.f64 (log.f64 z) z)
✓	0.2b	(+.f64 y (*.f64 y (cbrt.f64 (pow.f64 (-.f64 (log.f64 z) z) 3))))
✓	0.2b	(*.f64 y (cbrt.f64 (pow.f64 (-.f64 (log.f64 z) z) 3)))
✓	0.5b	(pow.f64 (-.f64 (log.f64 z) z) 3)
✓	13.4b	(cbrt.f64 (pow.f64 (-.f64 (log.f64 z) z) 3))

series7.0ms (0.1%)

Counts

4 → 72

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	z	@	0	(*.f64 y (cbrt.f64 (pow.f64 (-.f64 (log.f64 z) z) 3)))
1.0ms	z	@	-inf	(pow.f64 (-.f64 (log.f64 z) z) 3)
1.0ms	z	@	inf	(pow.f64 (-.f64 (log.f64 z) z) 3)
1.0ms	z	@	0	(pow.f64 (-.f64 (log.f64 z) z) 3)
0.0ms	z	@	0	(cbrt.f64 (pow.f64 (-.f64 (log.f64 z) z) 3))

rewrite86.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

480×	`log-prod_binary64`
408×	`fma-def_binary64`
356×	`pow-prod-down_binary64`
341×	`exp-prod_binary64`
263×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	36
1	225	34
2	2855	34

Stop Event

1×	node limit

Counts

4 → 245

Calls

Call 1

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

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

simplify66.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

709×	`fma-def_binary64`
414×	`unsub-neg_binary64`
373×	`distribute-rgt-out_binary64`
334×	`distribute-lft-out_binary64`
269×	`associate-+l+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	94	983
1	310	957
2	960	852
3	4459	761

Stop Event

1×	node limit

Counts

317 → 286

Calls

Call 1

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

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

eval443.0ms (4.2%)

Compiler: Compiled 18014 to 9836 computations (45.4% saved)

prune241.0ms (2.3%)

Pruning

26 alts after pruning (20 fresh and 6 done)

	Pruned	Kept	Total
New	803	11	814
Fresh	7	9	16
Picked	1	0	1
Done	2	6	8
Total	813	26	839

Error

Counts

839 → 26

Alt Table

Click to see full alt table

Status	Error	Program
	30.7b	(+.f64 y (*.f64 y (pow.f64 (cbrt.f64 (-.f64 (log.f64 z) z)) 3)))
	48.5b	(/.f64 (*.f64 (-.f64 1 (pow.f64 (log.f64 z) 2)) y) (-.f64 1 (log.f64 z)))
	51.6b	(/.f64 (.f64 y (.f64 y (pow.f64 (+.f64 (log.f64 z) (-.f64 1 z)) 2))) (-.f64 (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) (.f64 x 1/2)))
	40.5b	(+.f64 (.f64 (.f64 (log.f64 z) (sqrt.f64 y)) (sqrt.f64 y)) (+.f64 (*.f64 1/2 x) y))
✓	44.7b	(*.f64 y (neg.f64 z))
✓	48.5b	(*.f64 (+.f64 1 (log.f64 z)) y)
	38.7b	(+.f64 y (/.f64 (.f64 y (-.f64 (pow.f64 (log.f64 z) 2) (.f64 z z))) (+.f64 z (log.f64 z))))
	48.5b	(+.f64 (*.f64 y (log.f64 z)) y)
	44.7b	(pow.f64 (/.f64 (/.f64 -1 y) z) -1)
	30.3b	(pow.f64 (/.f64 (/.f64 1 y) (+.f64 (log.f64 z) (-.f64 1 z))) -1)
✓	19.0b	(+.f64 (.f64 1/2 x) (.f64 (+.f64 1 (log.f64 z)) y))
	45.3b	(-.f64 y (*.f64 z y))
✓	19.0b	(+.f64 (.f64 y (log.f64 z)) (+.f64 (.f64 1/2 x) y))
	30.2b	(*.f64 (+.f64 (-.f64 (log.f64 z) z) 1) y)
✓	33.3b	(*.f64 1/2 x)
	59.0b	(cbrt.f64 (pow.f64 (+.f64 y (*.f64 (log.f64 z) y)) 3))
	54.9b	(+.f64 y (.f64 y (cbrt.f64 (.f64 z (.f64 z (-.f64 (.f64 (log.f64 z) 3) z))))))
	15.2b	(+.f64 (.f64 x 1/2) (.f64 y (neg.f64 z)))
✓	30.2b	(+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))
	29.7b	(+.f64 (.f64 x 1/2) (.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) (sqrt.f64 y)) (sqrt.f64 y)))
	48.6b	(+.f64 y (*.f64 y (cbrt.f64 (pow.f64 (log.f64 z) 3))))
	48.9b	(.f64 (-.f64 (.f64 y y) (pow.f64 (.f64 (-.f64 (log.f64 z) z) y) 2)) (/.f64 1 (-.f64 y (.f64 (-.f64 (log.f64 z) z) y))))
	30.2b	(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
	55.0b	(pow.f64 (sqrt.f64 (+.f64 y (*.f64 (log.f64 z) y))) 2)
	33.3b	(pow.f64 (/.f64 2 x) -1)
	62.7b	y

Compiler

Compiled 340 to 238 computations (30% saved)

regimes532.0ms (5.1%)

Counts

62 → 1

Calls

Call 1

Inputs
y
(*.f64 1/2 x)
(*.f64 y (neg.f64 z))
(-.f64 y (*.f64 z y))
(+.f64 y (*.f64 z (neg.f64 y)))
(+.f64 (.f64 x 1/2) (.f64 y (neg.f64 z)))
(+.f64 (.f64 x 1/2) (.f64 y (neg.f64 z)))
(+.f64 (.f64 x 1/2) (.f64 y (-.f64 1 z)))
(pow.f64 (/.f64 2 x) -1)
(+.f64 (*.f64 y (log.f64 z)) y)
(*.f64 (+.f64 1 (log.f64 z)) y)
(+.f64 (*.f64 y (log.f64 z)) y)
(pow.f64 (/.f64 (/.f64 -1 y) z) -1)
(*.f64 (+.f64 (-.f64 (log.f64 z) z) 1) y)
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(*.f64 (+.f64 (-.f64 (log.f64 z) z) 1) y)
(*.f64 y (+.f64 (log.f64 z) (-.f64 1 z)))
(*.f64 y (+.f64 (log.f64 z) (-.f64 1 z)))
(+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))
(+.f64 (.f64 1/2 x) (.f64 (+.f64 1 (log.f64 z)) y))
(+.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 (.f64 x 1/2) (.f64 y (-.f64 1 (-.f64 z (log.f64 z)))))
(+.f64 (.f64 x 1/2) (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))
(pow.f64 (/.f64 (/.f64 1 y) (+.f64 (log.f64 z) (-.f64 1 z))) -1)
(+.f64 y (.f64 y (cbrt.f64 (.f64 z (.f64 z (-.f64 (.f64 (log.f64 z) 3) z))))))
(-.f64 (+.f64 (.f64 1/2 x) (+.f64 (.f64 -1 (.f64 y z)) (.f64 2 (.f64 y (+.f64 1 (.f64 -1 (log.f64 (/.f64 1 z)))))))) (.f64 y (+.f64 1 (.f64 -1 (log.f64 (/.f64 1 z))))))
(cbrt.f64 (pow.f64 (+.f64 y (*.f64 (log.f64 z) y)) 3))
(+.f64 y (*.f64 y (cbrt.f64 (pow.f64 (log.f64 z) 3))))
(pow.f64 (sqrt.f64 (+.f64 y (*.f64 (log.f64 z) y))) 2)
(fma.f64 x 1/2 (fma.f64 y (-.f64 (log.f64 z) z) y))
(+.f64 y (*.f64 y (pow.f64 (cbrt.f64 (-.f64 (log.f64 z) z)) 3)))
(+.f64 y (cbrt.f64 (pow.f64 (*.f64 y (-.f64 (log.f64 z) z)) 3)))
(+.f64 y (*.f64 y (cbrt.f64 (pow.f64 (-.f64 (log.f64 z) z) 3))))
(+.f64 y (pow.f64 (cbrt.f64 (*.f64 y (-.f64 (log.f64 z) z))) 3))
(+.f64 y (*.f64 y (pow.f64 (cbrt.f64 (-.f64 (log.f64 z) z)) 3)))
(fma.f64 (-.f64 1 z) y (fma.f64 y (log.f64 z) (*.f64 x 1/2)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (log.f64 z) 2)) y) (-.f64 1 (log.f64 z)))
(+.f64 (cbrt.f64 (pow.f64 (.f64 y (log.f64 z)) 3)) (+.f64 (.f64 1/2 x) y))
(+.f64 (pow.f64 (sqrt.f64 (.f64 y (log.f64 z))) 2) (+.f64 (.f64 1/2 x) y))
(+.f64 (pow.f64 (cbrt.f64 (.f64 y (log.f64 z))) 3) (+.f64 (.f64 1/2 x) y))
(+.f64 (.f64 (.f64 (log.f64 z) (sqrt.f64 y)) (sqrt.f64 y)) (+.f64 (*.f64 1/2 x) y))
(+.f64 (.f64 x 1/2) (.f64 y (-.f64 1 (expm1.f64 (log1p.f64 (-.f64 z (log.f64 z)))))))
(+.f64 (.f64 x 1/2) (.f64 y (-.f64 1 (exp.f64 (log.f64 (-.f64 z (log.f64 z)))))))
(pow.f64 (/.f64 1 (fma.f64 y (+.f64 (-.f64 1 z) (log.f64 z)) (*.f64 x 1/2))) -1)
(+.f64 (.f64 x 1/2) (pow.f64 (sqrt.f64 (.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))) 2))
(+.f64 (.f64 x 1/2) (cbrt.f64 (pow.f64 (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) 3)))
(+.f64 (.f64 x 1/2) (.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) (sqrt.f64 y)) (sqrt.f64 y)))
(+.f64 y (/.f64 (.f64 y (-.f64 (pow.f64 (log.f64 z) 2) (.f64 z z))) (+.f64 z (log.f64 z))))
(+.f64 y (/.f64 (.f64 y (-.f64 (pow.f64 (log.f64 z) 2) (.f64 z z))) (+.f64 z (log.f64 z))))
(+.f64 (.f64 x 1/2) (/.f64 (.f64 y (-.f64 1 (pow.f64 (-.f64 z (log.f64 z)) 2))) (+.f64 1 (-.f64 z (log.f64 z)))))
(.f64 (-.f64 (.f64 y y) (pow.f64 (.f64 (-.f64 (log.f64 z) z) y) 2)) (/.f64 1 (-.f64 y (.f64 (-.f64 (log.f64 z) z) y))))
(.f64 (-.f64 (.f64 y y) (pow.f64 (.f64 y (-.f64 (log.f64 z) z)) 2)) (/.f64 1 (-.f64 y (.f64 y (-.f64 (log.f64 z) z)))))
(/.f64 (.f64 y (.f64 y (pow.f64 (+.f64 (log.f64 z) (-.f64 1 z)) 2))) (-.f64 (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) (.f64 x 1/2)))
(/.f64 (-.f64 (pow.f64 (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) 2) (.f64 (.f64 x x) 1/4)) (-.f64 (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) (*.f64 x 1/2)))
(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 (sqrt.f64 y) (.f64 (sqrt.f64 y) (log.f64 z)) (*.f64 y (-.f64 1 z))))
(+.f64 (.f64 x 1/2) (/.f64 (.f64 y (-.f64 (pow.f64 (-.f64 1 z) 2) (pow.f64 (log.f64 z) 2))) (-.f64 1 (+.f64 z (log.f64 z)))))
(/.f64 (-.f64 (+.f64 (.f64 (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) (.f64 y (-.f64 1 z))) (.f64 (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) (.f64 y (log.f64 z)))) (.f64 (.f64 x x) 1/4)) (-.f64 (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) (.f64 x 1/2)))
(fma.f64 x 1/2 (fma.f64 y (pow.f64 (cbrt.f64 (-.f64 (log.f64 z) z)) 3) y))
(fma.f64 (.f64 (+.f64 (-.f64 1 z) (log.f64 z)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (.f64 x 1/2))
(+.f64 (.f64 x 1/2) (fma.f64 (cbrt.f64 (pow.f64 (log.f64 z) 2)) (.f64 (cbrt.f64 (log.f64 z)) y) (*.f64 y (-.f64 1 z))))

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

Calls

9 calls:

73.0ms	(+.f64 (-.f64 1 z) (log.f64 z))
70.0ms	(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))
68.0ms	(*.f64 x 1/2)
66.0ms	x
62.0ms	(+.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 878 to 476 computations (45.8% saved)

regimes440.0ms (4.2%)

Counts

22 → 2

Calls

Call 1

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

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

Calls

5 calls:

138.0ms	x
116.0ms	(*.f64 x 1/2)
94.0ms	(*.f64 x 1/2)
60.0ms	y
26.0ms	z

Results

Error	Segments	Branch
6.5b	7	`x`
8.5b	3	`y`
1.0b	2	`z`
6.5b	7	`(*.f64 x 1/2)`
6.5b	7	`(*.f64 x 1/2)`

Compiler

Compiled 179 to 95 computations (46.9% saved)

bsearch32.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
32.0ms	0.018346947734456505	0.04439765716543406

Compiler

Compiled 21 to 16 computations (23.8% saved)

regimes160.0ms (1.5%)

Counts

19 → 3

Calls

Call 1

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

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

Calls

4 calls:

45.0ms	(*.f64 x 1/2)
41.0ms	x
38.0ms	z
28.0ms	y

Results

Error	Segments	Branch
8.8b	3	`x`
8.5b	3	`y`
12.4b	3	`z`
8.8b	3	`(*.f64 x 1/2)`

Compiler

Compiled 143 to 74 computations (48.3% saved)

bsearch56.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
30.0ms	1.0222823367011279e+34	2.774736985176968e+51
26.0ms	-1.786453683914002e+76	-1.923607331583148e+75

Compiler

Compiled 45 to 34 computations (24.4% saved)

regimes135.0ms (1.3%)

Counts

13 → 3

Calls

Call 1

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

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

Calls

4 calls:

52.0ms	y
29.0ms	x
29.0ms	z
21.0ms	(*.f64 x 1/2)

Results

Error	Segments	Branch
13.9b	3	`x`
12.3b	3	`y`
12.4b	3	`z`
13.9b	3	`(*.f64 x 1/2)`

Compiler

Compiled 95 to 53 computations (44.2% saved)

bsearch608.0ms (5.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
84.0ms	1.1283281872589745e+224	5.24428312394011e+226
524.0ms	-5.108755692682958e+206	-3.7622726725197446e+204

Compiler

Compiled 351 to 271 computations (22.8% saved)

regimes129.0ms (1.2%)

Counts

10 → 5

Calls

Call 1

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

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

Calls

4 calls:

53.0ms	y
35.0ms	z
19.0ms	(*.f64 x 1/2)
19.0ms	x

Results

Error	Segments	Branch
13.9b	3	`x`
12.4b	3	`y`
11.4b	5	`z`
13.9b	3	`(*.f64 x 1/2)`

Compiler

Compiled 76 to 45 computations (40.8% saved)

bsearch162.0ms (1.5%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
28.0ms	2.7911040484514093e-123	9.986774754857475e-120
30.0ms	3.8325739678698683e-137	5.3643327265519507e-135
62.0ms	9.512840654730543e-164	7.548212785406848e-160
41.0ms	3.447372656530312e-186	4.835137250652459e-182

Compiler

Compiled 21 to 16 computations (23.8% saved)

regimes52.0ms (0.5%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

4 calls:

8.0ms	x
8.0ms	z
6.0ms	(*.f64 x 1/2)
6.0ms	y

Results

Error	Segments	Branch
15.2b	1	`x`
15.2b	1	`y`
15.2b	1	`z`
15.2b	1	`(*.f64 x 1/2)`

Compiler

Compiled 70 to 42 computations (40% saved)

regimes101.0ms (1%)

Counts

5 → 4

Calls

Call 1

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

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

Calls

3 calls:

47.0ms	z
30.0ms	y
23.0ms	x

Results

Error	Segments	Branch
23.0b	5	`x`
29.3b	2	`y`
21.5b	4	`z`

Compiler

Compiled 34 to 21 computations (38.2% saved)

bsearch119.0ms (1.1%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
19.0ms	5.565802473214588e+194	6.92909269511675e+194
41.0ms	7.25643566707209e+161	2.6054766968975475e+162
59.0ms	802521.5941995165	5829940487.250581

Compiler

Compiled 146 to 112 computations (23.3% saved)

regimes61.0ms (0.6%)

Counts

3 → 4

Calls

Call 1

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

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

Calls

3 calls:

34.0ms	z
19.0ms	x
7.0ms	y

Results

Error	Segments	Branch
23.0b	5	`x`
29.3b	2	`y`
21.5b	4	`z`

Compiler

Compiled 23 to 16 computations (30.4% saved)

bsearch96.0ms (0.9%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
18.0ms	5.565802473214588e+194	6.92909269511675e+194
48.0ms	7.25643566707209e+161	2.6054766968975475e+162
29.0ms	802521.5941995165	5829940487.250581

Compiler

Compiled 141 to 112 computations (20.6% saved)

regimes12.0ms (0.1%)

Accuracy

Total -29.4b remaining (-88.4%)

Threshold costs -29.4b (-88.4%)

Counts

2 → 1

Calls

Call 1

Inputs
y
(*.f64 1/2 x)

Outputs
(*.f64 1/2 x)

Calls

3 calls:

5.0ms	z
3.0ms	x
3.0ms	y

Results

Error	Segments	Branch
33.3b	1	`x`
33.3b	1	`y`
33.3b	1	`z`

Compiler

Compiled 19 to 14 computations (26.3% saved)

simplify61.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

61×	`distribute-rgt-neg-in_binary64`
61×	`cancel-sign-sub-inv_binary64`
39×	`distribute-lft-neg-in_binary64`
38×	`distribute-lft-neg-out_binary64`
36×	`neg-sub0_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	68	314
1	101	302
2	121	302
3	137	302
4	159	302
5	174	302
6	186	302
7	203	302
8	241	302
9	306	302
10	382	302
11	468	302
12	526	302
13	538	302

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (.f64 x 1/2) (.f64 y (-.f64 1 (-.f64 z (log.f64 z)))))
(if (<=.f64 z 338441449391244416/18446744073709551616) (+.f64 (.f64 1/2 x) (.f64 (+.f64 1 (log.f64 z)) y)) (+.f64 (.f64 x 1/2) (.f64 y (-.f64 1 z))))
(if (<=.f64 y -10000000000000000470601344959054695891559601407866630764278709534898249531392) (.f64 (+.f64 (-.f64 (log.f64 z) z) 1) y) (if (<=.f64 y 10222823367011278619022196752777216) (+.f64 (.f64 x 1/2) (.f64 y (neg.f64 z))) (.f64 (+.f64 (-.f64 (log.f64 z) z) 1) y)))
(if (<=.f64 y -3799999999999999818087971936281924691852098655032561231216274172158055449734666775682231687784775893502049986496848542942972330454275286531364270823761333140991036094928809156795472681374904173001539846144) (.f64 (+.f64 1 (log.f64 z)) y) (if (<=.f64 y 115000000000000009853952858165734535635985402831788282770978502154841026747658625803544688281532623469124199537922994248193221174750891423955693434679259835742591500116377833986039380472256570588896178352774718557292221956096) (+.f64 (.f64 x 1/2) (.f64 y (neg.f64 z))) (.f64 (+.f64 1 (log.f64 z)) y)))
(if (<=.f64 z 67553105490771248/19595533242629369747791401605606558418088927130487463844933662202465281465266200982457647235235528838735010358900495684567911298014908298340170885513171109743249504533143507682501017145381579984990109696) (+.f64 (.f64 x 1/2) (.f64 y (neg.f64 z))) (if (<=.f64 z 3083881281335035/32418090381882757488378186435087196492284736189394038281216072888208225089163344893747711319899248392876545989150787415487462117776654494592866209641515341305165482839074293153792) (+.f64 (.f64 y (log.f64 z)) y) (if (<=.f64 z 513864156384971840/13407807929942597099574024998205846127479365820592393377723561443721764030073546976801874298166903427690031858186486050853753882811946569946433649006084096) (+.f64 (.f64 x 1/2) (.f64 y (neg.f64 z))) (if (<=.f64 z 4154741772191183/1488565707357402911845015158554633286356257506687627387456491927921949262056238946972039271861787782268441644249633132407878864135402815488) (+.f64 (.f64 y (log.f64 z)) y) (+.f64 (.f64 x 1/2) (.f64 y (neg.f64 z)))))))
(+.f64 (.f64 x 1/2) (.f64 y (neg.f64 z)))
(if (<=.f64 z 6893608002841413/8589934592) (.f64 1/2 x) (if (<=.f64 z 749999999999999953387454728587298099837893869579225989031793986942014394161773751869641622723032295701174984716420659752386895320431487001822242440526163550928896) (-.f64 y (.f64 z y)) (if (<=.f64 z 680000000000000020721141270920897440291765139345757698725528723710678497158542510441416924831525038706711166828514727202645007167947828901436194023339877874105757768090920831848215528819201671168) (.f64 1/2 x) (.f64 y (neg.f64 z)))))
(if (<=.f64 z 6893608002841413/8589934592) (.f64 1/2 x) (if (<=.f64 z 749999999999999953387454728587298099837893869579225989031793986942014394161773751869641622723032295701174984716420659752386895320431487001822242440526163550928896) (.f64 y (neg.f64 z)) (if (<=.f64 z 680000000000000020721141270920897440291765139345757698725528723710678497158542510441416924831525038706711166828514727202645007167947828901436194023339877874105757768090920831848215528819201671168) (.f64 1/2 x) (.f64 y (neg.f64 z)))))
(*.f64 1/2 x)
y

Outputs
(+.f64 (.f64 x 1/2) (.f64 y (-.f64 1 (-.f64 z (log.f64 z)))))
(+.f64 (.f64 y (-.f64 1 (-.f64 z (log.f64 z)))) (.f64 x 1/2))
(+.f64 (.f64 y (+.f64 1 (-.f64 (log.f64 z) z))) (.f64 x 1/2))
(-.f64 (.f64 x 1/2) (.f64 y (+.f64 (-.f64 z (log.f64 z)) -1)))
(if (<=.f64 z 338441449391244416/18446744073709551616) (+.f64 (.f64 1/2 x) (.f64 (+.f64 1 (log.f64 z)) y)) (+.f64 (.f64 x 1/2) (.f64 y (-.f64 1 z))))
(if (<=.f64 z 2644073823369097/144115188075855872) (+.f64 (.f64 x 1/2) (.f64 y (+.f64 1 (log.f64 z)))) (+.f64 (.f64 x 1/2) (.f64 y (-.f64 1 z))))
(if (<=.f64 y -10000000000000000470601344959054695891559601407866630764278709534898249531392) (.f64 (+.f64 (-.f64 (log.f64 z) z) 1) y) (if (<=.f64 y 10222823367011278619022196752777216) (+.f64 (.f64 x 1/2) (.f64 y (neg.f64 z))) (.f64 (+.f64 (-.f64 (log.f64 z) z) 1) y)))
(if (<=.f64 y -10000000000000000470601344959054695891559601407866630764278709534898249531392) (.f64 y (+.f64 1 (-.f64 (log.f64 z) z))) (if (<=.f64 y 10222823367011278619022196752777216) (+.f64 (.f64 x 1/2) (.f64 y (neg.f64 z))) (.f64 y (+.f64 1 (-.f64 (log.f64 z) z)))))
(if (<=.f64 y -10000000000000000470601344959054695891559601407866630764278709534898249531392) (.f64 y (+.f64 1 (-.f64 (log.f64 z) z))) (if (<=.f64 y 10222823367011278619022196752777216) (-.f64 (.f64 x 1/2) (.f64 y z)) (.f64 y (+.f64 1 (-.f64 (log.f64 z) z)))))
(if (<=.f64 y -10000000000000000470601344959054695891559601407866630764278709534898249531392) (.f64 y (-.f64 1 (-.f64 z (log.f64 z)))) (if (<=.f64 y 10222823367011278619022196752777216) (-.f64 (.f64 x 1/2) (.f64 y z)) (.f64 y (-.f64 1 (-.f64 z (log.f64 z))))))
(if (<=.f64 y -3799999999999999818087971936281924691852098655032561231216274172158055449734666775682231687784775893502049986496848542942972330454275286531364270823761333140991036094928809156795472681374904173001539846144) (.f64 (+.f64 1 (log.f64 z)) y) (if (<=.f64 y 115000000000000009853952858165734535635985402831788282770978502154841026747658625803544688281532623469124199537922994248193221174750891423955693434679259835742591500116377833986039380472256570588896178352774718557292221956096) (+.f64 (.f64 x 1/2) (.f64 y (neg.f64 z))) (.f64 (+.f64 1 (log.f64 z)) y)))
(if (<=.f64 y -3799999999999999818087971936281924691852098655032561231216274172158055449734666775682231687784775893502049986496848542942972330454275286531364270823761333140991036094928809156795472681374904173001539846144) (.f64 y (+.f64 1 (log.f64 z))) (if (<=.f64 y 115000000000000009853952858165734535635985402831788282770978502154841026747658625803544688281532623469124199537922994248193221174750891423955693434679259835742591500116377833986039380472256570588896178352774718557292221956096) (+.f64 (.f64 x 1/2) (.f64 y (neg.f64 z))) (.f64 y (+.f64 1 (log.f64 z)))))
(if (<=.f64 y -3799999999999999818087971936281924691852098655032561231216274172158055449734666775682231687784775893502049986496848542942972330454275286531364270823761333140991036094928809156795472681374904173001539846144) (.f64 y (+.f64 1 (log.f64 z))) (if (<=.f64 y 115000000000000009853952858165734535635985402831788282770978502154841026747658625803544688281532623469124199537922994248193221174750891423955693434679259835742591500116377833986039380472256570588896178352774718557292221956096) (-.f64 (.f64 x 1/2) (.f64 y z)) (.f64 y (+.f64 1 (log.f64 z)))))
(if (<=.f64 z 67553105490771248/19595533242629369747791401605606558418088927130487463844933662202465281465266200982457647235235528838735010358900495684567911298014908298340170885513171109743249504533143507682501017145381579984990109696) (+.f64 (.f64 x 1/2) (.f64 y (neg.f64 z))) (if (<=.f64 z 3083881281335035/32418090381882757488378186435087196492284736189394038281216072888208225089163344893747711319899248392876545989150787415487462117776654494592866209641515341305165482839074293153792) (+.f64 (.f64 y (log.f64 z)) y) (if (<=.f64 z 513864156384971840/13407807929942597099574024998205846127479365820592393377723561443721764030073546976801874298166903427690031858186486050853753882811946569946433649006084096) (+.f64 (.f64 x 1/2) (.f64 y (neg.f64 z))) (if (<=.f64 z 4154741772191183/1488565707357402911845015158554633286356257506687627387456491927921949262056238946972039271861787782268441644249633132407878864135402815488) (+.f64 (.f64 y (log.f64 z)) y) (+.f64 (.f64 x 1/2) (.f64 y (neg.f64 z)))))))
(if (<=.f64 z 4222069093173203/1224720827664335609236962600350409901130557945655466490308353887654080091579137561403602952202220552420938147431280980285494456125931768646260680344573194358953094033321469230156313571586348749061881856) (+.f64 (.f64 x 1/2) (.f64 y (neg.f64 z))) (if (<=.f64 z 3083881281335035/32418090381882757488378186435087196492284736189394038281216072888208225089163344893747711319899248392876545989150787415487462117776654494592866209641515341305165482839074293153792) (+.f64 y (.f64 y (log.f64 z))) (if (<=.f64 z 8029127443515185/209496998905353079680844140596966345741865090946756146526930647558152562969899171512529285908857866057656747784163844544589904418936665155413025765720064) (+.f64 (.f64 x 1/2) (.f64 y (neg.f64 z))) (if (<=.f64 z 4154741772191183/1488565707357402911845015158554633286356257506687627387456491927921949262056238946972039271861787782268441644249633132407878864135402815488) (+.f64 y (.f64 y (log.f64 z))) (+.f64 (.f64 x 1/2) (.f64 y (neg.f64 z)))))))
(if (<=.f64 z 4222069093173203/1224720827664335609236962600350409901130557945655466490308353887654080091579137561403602952202220552420938147431280980285494456125931768646260680344573194358953094033321469230156313571586348749061881856) (-.f64 (.f64 x 1/2) (.f64 y z)) (if (<=.f64 z 3083881281335035/32418090381882757488378186435087196492284736189394038281216072888208225089163344893747711319899248392876545989150787415487462117776654494592866209641515341305165482839074293153792) (+.f64 y (.f64 y (log.f64 z))) (if (<=.f64 z 8029127443515185/209496998905353079680844140596966345741865090946756146526930647558152562969899171512529285908857866057656747784163844544589904418936665155413025765720064) (-.f64 (.f64 x 1/2) (.f64 y z)) (if (<=.f64 z 4154741772191183/1488565707357402911845015158554633286356257506687627387456491927921949262056238946972039271861787782268441644249633132407878864135402815488) (+.f64 y (.f64 y (log.f64 z))) (-.f64 (.f64 x 1/2) (.f64 y z))))))
(+.f64 (.f64 x 1/2) (.f64 y (neg.f64 z)))
(-.f64 (.f64 x 1/2) (.f64 y z))
(if (<=.f64 z 6893608002841413/8589934592) (.f64 1/2 x) (if (<=.f64 z 749999999999999953387454728587298099837893869579225989031793986942014394161773751869641622723032295701174984716420659752386895320431487001822242440526163550928896) (-.f64 y (.f64 z y)) (if (<=.f64 z 680000000000000020721141270920897440291765139345757698725528723710678497158542510441416924831525038706711166828514727202645007167947828901436194023339877874105757768090920831848215528819201671168) (.f64 1/2 x) (.f64 y (neg.f64 z)))))
(if (<=.f64 z 6893608002841413/8589934592) (.f64 x 1/2) (if (<=.f64 z 749999999999999953387454728587298099837893869579225989031793986942014394161773751869641622723032295701174984716420659752386895320431487001822242440526163550928896) (-.f64 y (.f64 y z)) (if (<=.f64 z 680000000000000020721141270920897440291765139345757698725528723710678497158542510441416924831525038706711166828514727202645007167947828901436194023339877874105757768090920831848215528819201671168) (.f64 x 1/2) (.f64 y (neg.f64 z)))))
(if (<=.f64 z 6893608002841413/8589934592) (.f64 1/2 x) (if (<=.f64 z 749999999999999953387454728587298099837893869579225989031793986942014394161773751869641622723032295701174984716420659752386895320431487001822242440526163550928896) (.f64 y (neg.f64 z)) (if (<=.f64 z 680000000000000020721141270920897440291765139345757698725528723710678497158542510441416924831525038706711166828514727202645007167947828901436194023339877874105757768090920831848215528819201671168) (.f64 1/2 x) (.f64 y (neg.f64 z)))))
(if (<=.f64 z 6893608002841413/8589934592) (.f64 x 1/2) (if (<=.f64 z 749999999999999953387454728587298099837893869579225989031793986942014394161773751869641622723032295701174984716420659752386895320431487001822242440526163550928896) (.f64 y (neg.f64 z)) (if (<=.f64 z 680000000000000020721141270920897440291765139345757698725528723710678497158542510441416924831525038706711166828514727202645007167947828901436194023339877874105757768090920831848215528819201671168) (.f64 x 1/2) (.f64 y (neg.f64 z)))))
(*.f64 1/2 x)
(*.f64 x 1/2)
y

end117.0ms (1.1%)

Stop Event

1×

fuel

Compiler

Compiled 445 to 266 computations (40.2% saved)

Iter	Nodes	Cost
0	68	314
1	101	302
2	121	302
3	137	302
4	159	302
5	174	302
6	186	302
7	203	302
8	241	302
9	306	302
10	382	302
11	468	302
12	526	302
13	538	302

Iter	Nodes	Cost
0	68	314
1	101	302
2	121	302
3	137	302
4	159	302
5	174	302
6	186	302
7	203	302
8	241	302
9	306	302
10	382	302
11	468	302
12	526	302
13	538	302

Iter	Nodes	Cost
0	68	314
1	101	302
2	121	302
3	137	302
4	159	302
5	174	302
6	186	302
7	203	302
8	241	302
9	306	302
10	382	302
11	468	302
12	526	302
13	538	302