Details

analyze146.0ms (1.5%)

Algorithm

1×

Search

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

Compiler

Compiled 16 to 12 computations (25% saved)

sample1.2s (12.5%)

Results

1.1s	8256×	body	256	valid
86.0ms	644×	body	256	infinite
15.0ms	137×	body	256	invalid

Bogosity

preprocess250.0ms (2.6%)

Algorithm

2×	egg-herbie

Rules

873×	`unsub-neg_binary64`
811×	`fma-def_binary64`
531×	`sub-neg_binary64`
494×	`associate-+r+_binary64`
365×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	64
1	82	64
2	209	64
3	491	64
4	1161	56
5	2524	56
6	4311	56
7	5633	56
8	6480	56
9	6575	56
10	6614	56
11	6649	56
12	6835	56
13	7120	56
14	7351	56
15	7468	56
16	7468	56
17	7938	56
0	3	3

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

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

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

Compiler

Compiled 18 to 14 computations (22.2% saved)

simplify319.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

946×	`fma-def_binary64`
771×	`fma-neg_binary64`
751×	`unsub-neg_binary64`
519×	`distribute-rgt-in_binary64`
385×	`associate-+l+_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	12	16
1	29	16
2	65	16
3	143	16
4	336	14
5	721	14
6	1244	14
7	1892	14
8	2790	14
9	3280	14
10	4399	14
11	5130	14
12	5430	14
13	6153	14
14	6686	14
15	6907	14
16	7054	14
17	7164	14
18	7190	14
19	7315	14
20	7347	14
21	7389	14
22	7429	14
23	7429	14
24	7429	14

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.1b

Counts

3 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 15 to 11 computations (26.7% saved)

localize17.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 42 to 24 computations (42.9% saved)

series45.0ms (0.5%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
28.0ms	y	@	0	(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))
8.0ms	z	@	0	(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))
6.0ms	z	@	-inf	(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))
2.0ms	z	@	inf	(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))
1.0ms	y	@	inf	(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))

rewrite97.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

426×	`log-prod_binary64`
404×	`prod-exp_binary64`
355×	`fma-def_binary64`
333×	`pow-prod-down_binary64`
320×	`exp-prod_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	12
1	177	12
2	2598	12

Stop Event

1×	node limit

Counts

1 → 66

Calls

Call 1

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

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

Outputs

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

simplify151.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

2493×	`fma-neg_binary64`
767×	`fma-def_binary64`
489×	`unsub-neg_binary64`
296×	`sub-neg_binary64`
242×	`+-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	27	273
1	72	273
2	188	271
3	571	229
4	1462	229
5	3808	229
6	5269	229
7	5965	229
8	6088	229
9	6138	229
10	6142	229
11	6142	229
12	6150	229

Stop Event

1×	node limit

Counts

90 → 75

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)))))))

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

eval24.0ms (0.3%)

Compiler: Compiled 1347 to 813 computations (39.6% saved)

prune25.0ms (0.3%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	64	11	75
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	64	12	76

Error

Counts

76 → 12

Alt Table

Click to see full alt table

Status	Error	Program
	19.2b	(+.f64 (.f64 x 1/2) (/.f64 (.f64 (+.f64 (pow.f64 (-.f64 1 z) 3) (pow.f64 (log.f64 z) 3)) y) (fma.f64 (log.f64 z) (-.f64 (log.f64 z) (-.f64 1 z)) (pow.f64 (-.f64 1 z) 2))))
	17.5b	(+.f64 (.f64 x 1/2) (.f64 (+.f64 1 (log.f64 z)) y))
	32.6b	(+.f64 (.f64 x 1/2) (fma.f64 (sqrt.f64 (.f64 y (log.f64 z))) (sqrt.f64 (.f64 y (log.f64 z))) (.f64 y (-.f64 1 z))))
▶	27.0b	(+.f64 (.f64 x 1/2) (cbrt.f64 (pow.f64 (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) 3)))
	0.7b	(+.f64 (.f64 x 1/2) (pow.f64 (cbrt.f64 (.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))) 3))
▶	0.1b	(+.f64 (.f64 x 1/2) (+.f64 (.f64 y (-.f64 1 z)) (*.f64 y (log.f64 z))))
▶	0.3b	(+.f64 (.f64 x 1/2) (fma.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 (cbrt.f64 y) (log.f64 z)) (*.f64 y (-.f64 1 z))))
▶	15.9b	(+.f64 (.f64 x 1/2) (.f64 y (neg.f64 z)))
	14.9b	(+.f64 (.f64 x 1/2) (/.f64 (.f64 (-.f64 (pow.f64 (-.f64 1 z) 2) (pow.f64 (log.f64 z) 2)) y) (-.f64 1 (+.f64 z (log.f64 z)))))
	0.4b	(+.f64 (.f64 x 1/2) (fma.f64 (pow.f64 (cbrt.f64 (.f64 y (log.f64 z))) 2) (cbrt.f64 (.f64 y (log.f64 z))) (.f64 y (-.f64 1 z))))
▶	32.4b	(+.f64 (.f64 x 1/2) (pow.f64 (sqrt.f64 (.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))) 2))
✓	0.1b	(+.f64 (.f64 x 1/2) (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))

Compiler

Compiled 465 to 327 computations (29.7% saved)

localize19.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(+.f64 (.f64 y (-.f64 1 z)) (.f64 y (log.f64 z)))
✓	0.3b	(*.f64 y (log.f64 z))

Compiler

Compiled 49 to 25 computations (49% saved)

series32.0ms (0.3%)

Counts

2 → 32

Calls

12 calls:

Time	Variable		Point	Expression
12.0ms	z	@	-inf	(*.f64 y (log.f64 z))
9.0ms	z	@	0	(*.f64 y (log.f64 z))
5.0ms	z	@	inf	(*.f64 y (log.f64 z))
1.0ms	y	@	inf	(+.f64 (.f64 y (-.f64 1 z)) (.f64 y (log.f64 z)))
1.0ms	y	@	-inf	(+.f64 (.f64 y (-.f64 1 z)) (.f64 y (log.f64 z)))

rewrite77.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

484×	`log-prod_binary64`
427×	`fma-def_binary64`
402×	`prod-exp_binary64`
351×	`exp-prod_binary64`
350×	`pow-prod-down_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	18
1	192	18
2	2637	18

Stop Event

1×	node limit

Counts

2 → 112

Calls

Call 1

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

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

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

simplify152.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

858×	`unsub-neg_binary64`
588×	`fma-neg_binary64`
531×	`distribute-rgt-out_binary64`
510×	`distribute-rgt-out--_binary64`
441×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	35	351
1	105	351
2	299	319
3	899	277
4	2219	277
5	4854	277
6	5684	277
7	6182	277
8	6376	277
9	6468	277
10	6486	277
11	7783	277
12	7999	277

Stop Event

1×	node limit

Counts

144 → 125

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

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 24 to 11 computations (54.2% saved)

series4.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite58.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

881×	`pow1_binary64`
816×	`add-log-exp_binary64`
815×	`log1p-expm1-u_binary64`
815×	`expm1-log1p-u_binary64`
799×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	10
1	195	8
2	2677	8

Stop Event

1×	node limit

Counts

1 → 40

Calls

Call 1

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

Outputs

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

simplify32.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

160×	`fma-def_binary64`
75×	`fma-neg_binary64`
33×	`cancel-sign-sub-inv_binary64`
20×	`distribute-rgt-neg-in_binary64`
18×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	316
1	18	316
2	36	316
3	49	316
4	70	316
5	113	316
6	194	316
7	270	316
8	343	316
9	465	316
10	523	316
11	529	316

Stop Event

1×

saturated

Counts

76 → 45

Calls

Call 1

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

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

localize59.0ms (0.6%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.1b	(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))
✓	0.2b	(pow.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) 3)
✓	37.7b	(cbrt.f64 (pow.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) 3))

Compiler

Compiled 67 to 41 computations (38.8% saved)

series18.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

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

rewrite135.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

512×	`log-prod_binary64`
400×	`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	3166	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) (log.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (+.f64 (-.f64 1 z) (log.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (-.f64 1 z) (log.f64 z))) (*.f64 (sqrt.f64 (+.f64 (-.f64 1 z) (log.f64 z))) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (pow.f64 (cbrt.f64 (+.f64 (-.f64 1 z) (log.f64 z))) 2)) (cbrt.f64 (+.f64 (-.f64 1 z) (log.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (sqrt.f64 (+.f64 (-.f64 1 z) (log.f64 z)))) (sqrt.f64 (+.f64 (-.f64 1 z) (log.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (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 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((#(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)))))))) 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(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)))))))

simplify249.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

159 → 146

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

localize40.0ms (0.4%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 66 to 40 computations (39.4% saved)

series40.0ms (0.4%)

Counts

2 → 8

Calls

12 calls:

Time	Variable		Point	Expression
24.0ms	z	@	inf	(pow.f64 (sqrt.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))) 2)
3.0ms	z	@	-inf	(pow.f64 (sqrt.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))) 2)
2.0ms	y	@	0	(pow.f64 (sqrt.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))) 2)
2.0ms	y	@	-inf	(sqrt.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))
2.0ms	z	@	inf	(sqrt.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))

rewrite77.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

488×	`log-prod_binary64`
382×	`pow-prod-down_binary64`
366×	`fma-def_binary64`
358×	`exp-prod_binary64`
274×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	26
1	243	26
2	3041	26

Stop Event

1×	node limit

Counts

2 → 114

Calls

Call 1

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

Outputs

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

simplify55.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

894×	`fma-def_binary64`
619×	`associate-l_binary64`
540×	`associate-r_binary64`
507×	`cancel-sign-sub-inv_binary64`
378×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	53	221
1	141	218
2	402	199
3	1588	193
4	6569	193

Stop Event

1×	node limit

Counts

122 → 128

Calls

Call 1

Inputs
(*.f64 (+.f64 1 (log.f64 z)) y)
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (+.f64 1 (log.f64 z)) y))
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 (+.f64 (.f64 1/4 (/.f64 y (+.f64 1 (log.f64 z)))) (.f64 -1/4 (/.f64 y (+.f64 1 (log.f64 z))))) (pow.f64 z 2)) (.f64 (+.f64 1 (log.f64 z)) y)))
(+.f64 (.f64 (+.f64 (.f64 -1/8 (/.f64 y (pow.f64 (+.f64 1 (log.f64 z)) 2))) (.f64 1/8 (/.f64 y (pow.f64 (+.f64 1 (log.f64 z)) 2)))) (pow.f64 z 3)) (+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 (+.f64 (.f64 1/4 (/.f64 y (+.f64 1 (log.f64 z)))) (.f64 -1/4 (/.f64 y (+.f64 1 (log.f64 z))))) (pow.f64 z 2)) (*.f64 (+.f64 1 (log.f64 z)) y))))
(sqrt.f64 (*.f64 (+.f64 1 (log.f64 z)) y))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 y (+.f64 1 (log.f64 z)))) z)) (sqrt.f64 (*.f64 (+.f64 1 (log.f64 z)) y)))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 y (pow.f64 (+.f64 1 (log.f64 z)) 3))) (pow.f64 z 2))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 y (+.f64 1 (log.f64 z)))) z)) (sqrt.f64 (*.f64 (+.f64 1 (log.f64 z)) y))))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 (/.f64 y (pow.f64 (+.f64 1 (log.f64 z)) 5))) (pow.f64 z 3))) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 y (pow.f64 (+.f64 1 (log.f64 z)) 3))) (pow.f64 z 2))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 y (+.f64 1 (log.f64 z)))) z)) (sqrt.f64 (*.f64 (+.f64 1 (log.f64 z)) y)))))

Outputs
(*.f64 (+.f64 1 (log.f64 z)) y)
(fma.f64 (log.f64 z) y y)
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (+.f64 1 (log.f64 z)) y))
(fma.f64 -1 (.f64 z y) (.f64 (+.f64 1 (log.f64 z)) y))
(-.f64 (.f64 (+.f64 1 (log.f64 z)) y) (.f64 z y))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(*.f64 y (+.f64 1 (-.f64 (log.f64 z) z)))
(*.f64 y (+.f64 (log.f64 z) (-.f64 1 z)))
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 (+.f64 (.f64 1/4 (/.f64 y (+.f64 1 (log.f64 z)))) (.f64 -1/4 (/.f64 y (+.f64 1 (log.f64 z))))) (pow.f64 z 2)) (.f64 (+.f64 1 (log.f64 z)) y)))
(fma.f64 -1 (.f64 z y) (.f64 (+.f64 1 (log.f64 z)) y))
(-.f64 (.f64 (+.f64 1 (log.f64 z)) y) (.f64 z y))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(*.f64 y (+.f64 1 (-.f64 (log.f64 z) z)))
(*.f64 y (+.f64 (log.f64 z) (-.f64 1 z)))
(+.f64 (.f64 (+.f64 (.f64 -1/8 (/.f64 y (pow.f64 (+.f64 1 (log.f64 z)) 2))) (.f64 1/8 (/.f64 y (pow.f64 (+.f64 1 (log.f64 z)) 2)))) (pow.f64 z 3)) (+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 (+.f64 (.f64 1/4 (/.f64 y (+.f64 1 (log.f64 z)))) (.f64 -1/4 (/.f64 y (+.f64 1 (log.f64 z))))) (pow.f64 z 2)) (*.f64 (+.f64 1 (log.f64 z)) y))))
(fma.f64 -1 (.f64 z y) (.f64 (+.f64 1 (log.f64 z)) y))
(-.f64 (.f64 (+.f64 1 (log.f64 z)) y) (.f64 z y))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(*.f64 y (+.f64 1 (-.f64 (log.f64 z) z)))
(*.f64 y (+.f64 (log.f64 z) (-.f64 1 z)))
(sqrt.f64 (*.f64 (+.f64 1 (log.f64 z)) y))
(sqrt.f64 (fma.f64 (log.f64 z) y y))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 y (+.f64 1 (log.f64 z)))) z)) (sqrt.f64 (*.f64 (+.f64 1 (log.f64 z)) y)))
(fma.f64 -1/2 (.f64 z (sqrt.f64 (/.f64 y (+.f64 1 (log.f64 z))))) (sqrt.f64 (.f64 (+.f64 1 (log.f64 z)) y)))
(fma.f64 -1/2 (*.f64 z (sqrt.f64 (/.f64 y (+.f64 1 (log.f64 z))))) (sqrt.f64 (fma.f64 (log.f64 z) y y)))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 y (pow.f64 (+.f64 1 (log.f64 z)) 3))) (pow.f64 z 2))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 y (+.f64 1 (log.f64 z)))) z)) (sqrt.f64 (*.f64 (+.f64 1 (log.f64 z)) y))))
(fma.f64 -1/8 (.f64 (.f64 z z) (sqrt.f64 (/.f64 y (pow.f64 (+.f64 1 (log.f64 z)) 3)))) (fma.f64 -1/2 (.f64 z (sqrt.f64 (/.f64 y (+.f64 1 (log.f64 z))))) (sqrt.f64 (.f64 (+.f64 1 (log.f64 z)) y))))
(fma.f64 -1/8 (.f64 z (.f64 z (sqrt.f64 (/.f64 y (pow.f64 (+.f64 1 (log.f64 z)) 3))))) (fma.f64 -1/2 (.f64 z (sqrt.f64 (/.f64 y (+.f64 1 (log.f64 z))))) (sqrt.f64 (.f64 (+.f64 1 (log.f64 z)) y))))
(fma.f64 z (.f64 -1/2 (sqrt.f64 (/.f64 y (+.f64 1 (log.f64 z))))) (fma.f64 (sqrt.f64 (/.f64 y (pow.f64 (+.f64 1 (log.f64 z)) 3))) (.f64 z (*.f64 z -1/8)) (sqrt.f64 (fma.f64 (log.f64 z) y y))))
(fma.f64 z (fma.f64 z (.f64 -1/8 (sqrt.f64 (/.f64 y (pow.f64 (+.f64 1 (log.f64 z)) 3)))) (.f64 -1/2 (sqrt.f64 (/.f64 y (+.f64 1 (log.f64 z)))))) (sqrt.f64 (fma.f64 (log.f64 z) y y)))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 (/.f64 y (pow.f64 (+.f64 1 (log.f64 z)) 5))) (pow.f64 z 3))) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 y (pow.f64 (+.f64 1 (log.f64 z)) 3))) (pow.f64 z 2))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 y (+.f64 1 (log.f64 z)))) z)) (sqrt.f64 (*.f64 (+.f64 1 (log.f64 z)) y)))))
(fma.f64 -1/16 (.f64 (pow.f64 z 3) (sqrt.f64 (/.f64 y (pow.f64 (+.f64 1 (log.f64 z)) 5)))) (fma.f64 -1/8 (.f64 (.f64 z z) (sqrt.f64 (/.f64 y (pow.f64 (+.f64 1 (log.f64 z)) 3)))) (fma.f64 -1/2 (.f64 z (sqrt.f64 (/.f64 y (+.f64 1 (log.f64 z))))) (sqrt.f64 (*.f64 (+.f64 1 (log.f64 z)) y)))))
(fma.f64 -1/16 (.f64 (pow.f64 z 3) (sqrt.f64 (/.f64 y (pow.f64 (+.f64 1 (log.f64 z)) 5)))) (fma.f64 -1/8 (.f64 z (.f64 z (sqrt.f64 (/.f64 y (pow.f64 (+.f64 1 (log.f64 z)) 3))))) (fma.f64 -1/2 (.f64 z (sqrt.f64 (/.f64 y (+.f64 1 (log.f64 z))))) (sqrt.f64 (*.f64 (+.f64 1 (log.f64 z)) y)))))
(fma.f64 (.f64 z z) (.f64 -1/8 (sqrt.f64 (/.f64 y (pow.f64 (+.f64 1 (log.f64 z)) 3)))) (fma.f64 (pow.f64 z 3) (.f64 -1/16 (sqrt.f64 (/.f64 y (pow.f64 (+.f64 1 (log.f64 z)) 5)))) (fma.f64 -1/2 (.f64 z (sqrt.f64 (/.f64 y (+.f64 1 (log.f64 z))))) (sqrt.f64 (fma.f64 (log.f64 z) y y)))))
(fma.f64 z (.f64 -1/2 (sqrt.f64 (/.f64 y (+.f64 1 (log.f64 z))))) (fma.f64 (.f64 z z) (fma.f64 z (.f64 -1/16 (sqrt.f64 (/.f64 y (pow.f64 (+.f64 1 (log.f64 z)) 5)))) (.f64 -1/8 (sqrt.f64 (/.f64 y (pow.f64 (+.f64 1 (log.f64 z)) 3))))) (sqrt.f64 (fma.f64 (log.f64 z) y y))))

localize28.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(fma.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 (cbrt.f64 y) (log.f64 z)) (.f64 y (-.f64 1 z)))
✓	0.3b	(*.f64 (cbrt.f64 y) (log.f64 z))
✓	0.5b	(pow.f64 (cbrt.f64 y) 2)
✓	0.6b	(cbrt.f64 y)

Compiler

Compiled 67 to 33 computations (50.7% saved)

series16.0ms (0.2%)

Counts

4 → 27

Calls

18 calls:

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

rewrite77.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

518×	`log-prod_binary64`
363×	`pow-prod-down_binary64`
338×	`prod-diff_binary64`
285×	`pow2_binary64`
202×	`pow1/3_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	40
1	242	32
2	2810	30

Stop Event

1×	node limit

Counts

4 → 117

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 y))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 y)))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2) (cbrt.f64 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 y 1/6) (pow.f64 y 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 4)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 y 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 y) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 y y) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 y 3) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 y) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 y 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 y) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 2/3 (log.f64 y)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (cbrt.f64 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 1/6 (log.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 y) 1) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 y) 1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 y)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (*.f64 2/3 (log.f64 y)) 1) 1/2))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (cbrt.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 y) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 y) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 y) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 y) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 y) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (cbrt.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 4) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 y) (pow.f64 y 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 y 1/6) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 5) (cbrt.f64 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 y (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 2/3 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 2/3 (log.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 y) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 2 (log.f64 y)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 1/3 (.f64 2/3 (log.f64 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 y) 1) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 y) 1/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 y)) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (.f64 2/3 (log.f64 y)) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (cbrt.f64 y) (log.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 z (cbrt.f64 y))) 2)) (log.f64 (cbrt.f64 (pow.f64 z (cbrt.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 z (cbrt.f64 y)))) (log.f64 (sqrt.f64 (pow.f64 z (cbrt.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (cbrt.f64 y) (log.f64 z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (cbrt.f64 y) (log.f64 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (cbrt.f64 y) (log.f64 z)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 y (pow.f64 (log.f64 z) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (cbrt.f64 y) (log.f64 z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (cbrt.f64 y) (log.f64 z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (cbrt.f64 y) (log.f64 z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 z (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (-.f64 (pow.f64 z (cbrt.f64 y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 y (pow.f64 (log.f64 z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (cbrt.f64 y) (log.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 z (cbrt.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (cbrt.f64 y) (log.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (cbrt.f64 y) (log.f64 z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 y (pow.f64 (log.f64 z) 3))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (cbrt.f64 y) (log.f64 z)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (cbrt.f64 y) (log.f64 z)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (.f64 (cbrt.f64 y) (log.f64 z))) 1) 1))))))
((#(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 0 (fma.f64 y (log.f64 z) (.f64 y (-.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 y (log.f64 z)) (.f64 y (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 y (log.f64 z)) 1) (.f64 y (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 y (log.f64 z) (.f64 y (-.f64 1 z))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 y (log.f64 z) (.f64 y (-.f64 1 z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y (log.f64 z) (.f64 y (-.f64 1 z)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y (log.f64 z) (.f64 y (-.f64 1 z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 y (log.f64 z) (.f64 y (-.f64 1 z))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 y (log.f64 z) (.f64 y (-.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 y (log.f64 z) (.f64 y (-.f64 1 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 y (log.f64 z) (.f64 y (-.f64 1 z)))) (cbrt.f64 (pow.f64 (fma.f64 y (log.f64 z) (.f64 y (-.f64 1 z))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (fma.f64 y (log.f64 z) (.f64 y (-.f64 1 z))) 2)) (cbrt.f64 (fma.f64 y (log.f64 z) (.f64 y (-.f64 1 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 y (log.f64 z) (.f64 y (-.f64 1 z)))) (sqrt.f64 (fma.f64 y (log.f64 z) (.f64 y (-.f64 1 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 y (log.f64 z)) 3) (pow.f64 (.f64 y (-.f64 1 z)) 3)) (+.f64 (pow.f64 (.f64 y (log.f64 z)) 2) (-.f64 (pow.f64 (.f64 y (-.f64 1 z)) 2) (.f64 (.f64 y (log.f64 z)) (.f64 y (-.f64 1 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 y (log.f64 z)) 2) (pow.f64 (.f64 y (-.f64 1 z)) 2)) (-.f64 (.f64 y (log.f64 z)) (.f64 y (-.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y (log.f64 z) (.f64 y (-.f64 1 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y (log.f64 z) (.f64 y (-.f64 1 z))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y (log.f64 z) (.f64 y (-.f64 1 z))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y (log.f64 z) (.f64 y (-.f64 1 z)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 y (log.f64 z) (.f64 y (-.f64 1 z)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y (log.f64 z) (.f64 y (-.f64 1 z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 y (log.f64 z) (.f64 y (-.f64 1 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 y (log.f64 z) (.f64 y (-.f64 1 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (pow.f64 (exp.f64 y) (-.f64 1 z)) (pow.f64 (exp.f64 y) (log.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 y (-.f64 1 z)))) (pow.f64 (exp.f64 y) (log.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (pow.f64 (exp.f64 y) (log.f64 z)) (+.f64 1 (expm1.f64 (.f64 y (-.f64 1 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y (log.f64 z) (.f64 y (-.f64 1 z))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y (log.f64 z) (.f64 y (-.f64 1 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y (log.f64 z) (.f64 y (-.f64 1 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 y (log.f64 z) (.f64 y (-.f64 1 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 y (log.f64 z) (.f64 y (-.f64 1 z)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 y (log.f64 z) (.f64 y (-.f64 1 z))) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 y (log.f64 z) (.f64 y (-.f64 1 z))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 y (log.f64 z) (.f64 y (-.f64 1 z))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (fma.f64 y (log.f64 z) (*.f64 y (-.f64 1 z)))) 1) 1))))))

simplify71.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

540×	`fma-def_binary64`
431×	`fma-neg_binary64`
418×	`sub-neg_binary64`
385×	`distribute-rgt-in_binary64`
363×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	39	282
1	130	253
2	360	244
3	1033	226
4	2816	226
5	6099	226

Stop Event

1×	node limit

Counts

144 → 131

Calls

Call 1

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

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

eval530.0ms (5.5%)

Compiler: Compiled 15867 to 9693 computations (38.9% saved)

prune248.0ms (2.6%)

Pruning

16 alts after pruning (14 fresh and 2 done)

	Pruned	Kept	Total
New	746	14	760
Fresh	6	0	6
Picked	1	0	1
Done	3	2	5
Total	756	16	772

Error

Counts

772 → 16

Alt Table

Click to see full alt table

Status	Error	Program
	15.9b	(-.f64 (.f64 x 1/2) (.f64 y z))
	32.5b	(+.f64 (.f64 x 1/2) (pow.f64 (pow.f64 (pow.f64 (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) 1/4) 2) 2))
▶	31.9b	(+.f64 (.f64 x 1/2) (.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) (sqrt.f64 y)) (sqrt.f64 y)))
	45.5b	(*.f64 y (neg.f64 z))
	0.7b	(+.f64 (.f64 x 1/2) (pow.f64 (cbrt.f64 (.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))) 3))
	17.5b	(+.f64 (.f64 x 1/2) (.f64 (+.f64 1 (log.f64 z)) y))
▶	16.5b	(+.f64 (.f64 x 1/2) (-.f64 y (.f64 y z)))
✓	0.1b	(+.f64 (.f64 x 1/2) (+.f64 (.f64 y (-.f64 1 z)) (*.f64 y (log.f64 z))))
	17.5b	(+.f64 (.f64 x 1/2) (+.f64 (.f64 y (log.f64 z)) y))
	32.6b	(+.f64 (.f64 x 1/2) (+.f64 (.f64 y (-.f64 1 z)) (pow.f64 (sqrt.f64 (*.f64 y (log.f64 z))) 2)))
✓	0.1b	(+.f64 (.f64 x 1/2) (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))
▶	30.6b	(+.f64 (.f64 x 1/2) (cbrt.f64 (pow.f64 (.f64 (+.f64 1 (log.f64 z)) y) 3)))
▶	0.4b	(+.f64 (.f64 x 1/2) (+.f64 (.f64 y (-.f64 1 z)) (pow.f64 (cbrt.f64 (*.f64 y (log.f64 z))) 3)))
▶	32.9b	(*.f64 1/2 x)
	42.3b	(+.f64 (.f64 x 1/2) (pow.f64 (sqrt.f64 (.f64 (+.f64 1 (log.f64 z)) y)) 2))
	46.6b	(+.f64 (.f64 x 1/2) (cbrt.f64 (.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))))

Compiler

Compiled 472 to 353 computations (25.2% saved)

localize52.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(+.f64 (.f64 y (-.f64 1 z)) (pow.f64 (cbrt.f64 (.f64 y (log.f64 z))) 3))
	0.3b	(*.f64 y (log.f64 z))
✓	0.6b	(cbrt.f64 (*.f64 y (log.f64 z)))
✓	0.8b	(pow.f64 (cbrt.f64 (*.f64 y (log.f64 z))) 3)

Compiler

Compiled 68 to 33 computations (51.5% saved)

series28.0ms (0.3%)

Counts

3 → 39

Calls

18 calls:

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

rewrite120.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

550×	`log-prod_binary64`
450×	`fma-def_binary64`
399×	`pow-prod-down_binary64`
293×	`pow2_binary64`
207×	`pow-to-exp_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	27
1	260	26
2	3111	26

Stop Event

1×	node limit

Counts

3 → 148

Calls

Call 1

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

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

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

simplify111.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

935×	`fma-def_binary64`
633×	`unsub-neg_binary64`
418×	`unswap-sqr_binary64`
365×	`fma-neg_binary64`
340×	`sub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	39	428
1	117	353
2	277	344
3	720	326
4	1896	326
5	5013	326
6	6984	326

Stop Event

1×	node limit

Counts

187 → 165

Calls

Call 1

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

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

localize8.0ms (0.1%)

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

localize21.0ms (0.2%)

Compiler: Compiled 27 to 11 computations (59.3% saved)

localize50.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 x 1/2) (cbrt.f64 (pow.f64 (.f64 (+.f64 1 (log.f64 z)) y) 3)))
✓	0.2b	(*.f64 (+.f64 1 (log.f64 z)) y)
✓	0.3b	(pow.f64 (*.f64 (+.f64 1 (log.f64 z)) y) 3)
✓	37.5b	(cbrt.f64 (pow.f64 (*.f64 (+.f64 1 (log.f64 z)) y) 3))

Compiler

Compiled 54 to 34 computations (37% saved)

series25.0ms (0.3%)

Counts

4 → 92

Calls

27 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(+.f64 (.f64 x 1/2) (cbrt.f64 (pow.f64 (.f64 (+.f64 1 (log.f64 z)) y) 3)))
2.0ms	y	@	-inf	(pow.f64 (*.f64 (+.f64 1 (log.f64 z)) y) 3)
1.0ms	y	@	-inf	(cbrt.f64 (pow.f64 (*.f64 (+.f64 1 (log.f64 z)) y) 3))
1.0ms	z	@	-inf	(pow.f64 (*.f64 (+.f64 1 (log.f64 z)) y) 3)
1.0ms	z	@	inf	(pow.f64 (*.f64 (+.f64 1 (log.f64 z)) y) 3)

rewrite134.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

599×	`log-prod_binary64`
438×	`fma-def_binary64`
419×	`pow-prod-down_binary64`
334×	`pow2_binary64`
229×	`expm1-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	43
1	302	43
2	3517	35

Stop Event

1×	node limit

Counts

4 → 192

Calls

Call 1

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

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

simplify105.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

758×	`fma-def_binary64`
589×	`unsub-neg_binary64`
356×	`associate-+l+_binary64`
348×	`associate-+r+_binary64`
244×	`*-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	39	1133
1	110	1133
2	420	1003
3	1880	1003
4	5150	1003

Stop Event

1×	node limit

Counts

284 → 164

Calls

Call 1

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

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

localize182.0ms (1.9%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) (sqrt.f64 y))
✓	0.2b	(.f64 (.f64 (+.f64 (-.f64 1 z) (log.f64 z)) (sqrt.f64 y)) (sqrt.f64 y))

Compiler

Compiled 61 to 31 computations (49.2% saved)

series13.0ms (0.1%)

Counts

2 → 36

Calls

12 calls:

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

rewrite116.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

854×	`prod-diff_binary64`
513×	`log-prod_binary64`
322×	`fma-def_binary64`
274×	`pow2_binary64`
192×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	26
1	212	26
2	2877	26

Stop Event

1×	node limit

Counts

2 → 58

Calls

Call 1

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

Outputs

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

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

simplify170.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

753×	`fma-def_binary64`
706×	`fma-neg_binary64`
556×	`unsub-neg_binary64`
494×	`sub-neg_binary64`
306×	`associate--r+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	41	564
1	121	471
2	387	424
3	1335	382
4	3911	382
5	7396	382

Stop Event

1×	node limit

Counts

94 → 76

Calls

Call 1

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

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

eval493.0ms (5.1%)

Compiler: Compiled 8085 to 4477 computations (44.6% saved)

prune266.0ms (2.8%)

Pruning

17 alts after pruning (11 fresh and 6 done)

	Pruned	Kept	Total
New	434	5	439
Fresh	3	6	9
Picked	1	0	1
Done	0	6	6
Total	438	17	455

Error

Counts

455 → 17

Alt Table

Click to see full alt table

Status	Error	Program
	15.9b	(-.f64 (.f64 x 1/2) (.f64 y z))
	32.5b	(+.f64 (.f64 x 1/2) (pow.f64 (pow.f64 (pow.f64 (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) 1/4) 2) 2))
▶	17.5b	(+.f64 (.f64 x 1/2) (.f64 (+.f64 1 (log.f64 z)) y))
	41.4b	(+.f64 (.f64 x 1/2) (.f64 (*.f64 (+.f64 1 (log.f64 z)) (sqrt.f64 y)) (sqrt.f64 y)))
✓	16.5b	(+.f64 (.f64 x 1/2) (-.f64 y (.f64 y z)))
	17.8b	(+.f64 (.f64 x 1/2) (/.f64 (.f64 (+.f64 1 (pow.f64 (log.f64 z) 3)) y) (fma.f64 (log.f64 z) (-.f64 (log.f64 z) 1) 1)))
▶	32.6b	(+.f64 (.f64 x 1/2) (+.f64 (.f64 y (-.f64 1 z)) (pow.f64 (sqrt.f64 (*.f64 y (log.f64 z))) 2)))
✓	0.1b	(+.f64 (.f64 x 1/2) (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))
✓	30.6b	(+.f64 (.f64 x 1/2) (cbrt.f64 (pow.f64 (.f64 (+.f64 1 (log.f64 z)) y) 3)))
✓	0.4b	(+.f64 (.f64 x 1/2) (+.f64 (.f64 y (-.f64 1 z)) (pow.f64 (cbrt.f64 (*.f64 y (log.f64 z))) 3)))
	17.5b	(+.f64 (.f64 x 1/2) (+.f64 (.f64 (log.f64 z) y) y))
✓	32.9b	(*.f64 1/2 x)
▶	42.3b	(+.f64 (.f64 x 1/2) (pow.f64 (sqrt.f64 (.f64 (+.f64 1 (log.f64 z)) y)) 2))
▶	45.5b	(*.f64 y (neg.f64 z))
▶	0.7b	(+.f64 (.f64 x 1/2) (pow.f64 (cbrt.f64 (.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y)) 3))
	17.8b	(+.f64 (.f64 x 1/2) (/.f64 (.f64 (-.f64 1 (pow.f64 (log.f64 z) 2)) y) (-.f64 1 (log.f64 z))))
✓	0.1b	(+.f64 (.f64 x 1/2) (+.f64 (.f64 y (-.f64 1 z)) (*.f64 y (log.f64 z))))

Compiler

Compiled 444 to 332 computations (25.2% saved)

localize94.0ms (1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y)
✓	0.6b	(cbrt.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y))
✓	0.7b	(pow.f64 (cbrt.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y)) 3)

Compiler

Compiled 66 to 40 computations (39.4% saved)

series27.0ms (0.3%)

Counts

3 → 32

Calls

18 calls:

Time	Variable		Point	Expression
7.0ms	z	@	0	(pow.f64 (cbrt.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y)) 3)
5.0ms	z	@	inf	(pow.f64 (cbrt.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y)) 3)
2.0ms	y	@	-inf	(*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y)
2.0ms	z	@	-inf	(pow.f64 (cbrt.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y)) 3)
1.0ms	z	@	0	(cbrt.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y))

rewrite107.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 107

Calls

Call 1

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

Outputs

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

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

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

simplify131.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

139 → 107

Calls

Call 1

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

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

localize10.0ms (0.1%)

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

localize119.0ms (1.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 33 to 19 computations (42.4% saved)

series7.0ms (0.1%)

Counts

2 → 44

Calls

12 calls:

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

rewrite228.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

518×	`log-prod_binary64`
421×	`fma-def_binary64`
351×	`pow-prod-down_binary64`
292×	`pow2_binary64`
200×	`pow1/3_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	19
1	229	19
2	2978	17

Stop Event

1×	node limit

Counts

2 → 109

Calls

Call 1

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

Outputs

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

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

simplify330.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

1008×	`distribute-rgt-in_binary64`
891×	`unsub-neg_binary64`
793×	`distribute-lft-in_binary64`
477×	`fma-neg_binary64`
430×	`distribute-neg-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	26	509
1	62	477
2	151	411
3	402	411
4	851	411
5	1864	411
6	4267	411
7	5518	411
8	6297	411
9	6760	411
10	6927	411
11	6953	411
12	6959	411
13	6959	411
14	6959	411
15	6991	411
16	6991	411

Stop Event

1×	node limit

Counts

153 → 119

Calls

Call 1

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

localize26.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 53 to 33 computations (37.7% saved)

series13.0ms (0.1%)

Counts

3 → 45

Calls

21 calls:

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

rewrite78.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

578×	`log-prod_binary64`
436×	`fma-def_binary64`
402×	`pow-prod-down_binary64`
325×	`pow2_binary64`
225×	`expm1-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	33
1	296	33
2	3403	27

Stop Event

1×	node limit

Counts

3 → 150

Calls

Call 1

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

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 0 (fma.f64 (log.f64 z) y y))))) (#(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 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 z (E.f64)) y)) 2)) (log.f64 (cbrt.f64 (pow.f64 (*.f64 z (E.f64)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (*.f64 z (E.f64)) y))) (log.f64 (sqrt.f64 (pow.f64 (*.f64 z (E.f64)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (log.f64 z) y y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (log.f64 z) y y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (log.f64 z)) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (+.f64 1 (log.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (log.f64 z) y y)) (sqrt.f64 (fma.f64 (log.f64 z) y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (log.f64 z) y y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 1 (log.f64 z)) 2)) (*.f64 (cbrt.f64 (+.f64 1 (log.f64 z))) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (+.f64 1 (log.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (log.f64 z) y y)) (pow.f64 (cbrt.f64 (fma.f64 (log.f64 z) y y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 z) y y)) 2) (cbrt.f64 (fma.f64 (log.f64 z) y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 (log.f64 z) y y) 1/4) (sqrt.f64 (pow.f64 (fma.f64 (log.f64 z) y y) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (log.f64 z))) (*.f64 (sqrt.f64 (+.f64 1 (log.f64 z))) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (log.f64 z))) (pow.f64 (*.f64 y (fma.f64 (log.f64 z) y y)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (+.f64 1 (log.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (fma.f64 (log.f64 z) y y) 3/2)) (pow.f64 (fma.f64 (log.f64 z) y y) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 1 (log.f64 z)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 1 (log.f64 z)) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (cbrt.f64 (pow.f64 (+.f64 1 (log.f64 z)) 2))) (cbrt.f64 (+.f64 1 (log.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (sqrt.f64 (+.f64 1 (log.f64 z)))) (sqrt.f64 (+.f64 1 (log.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (fma.f64 (log.f64 z) y y)) (cbrt.f64 (fma.f64 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simplify241.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

1008×	`distribute-rgt-in_binary64`
891×	`unsub-neg_binary64`
793×	`distribute-lft-in_binary64`
477×	`fma-neg_binary64`
429×	`distribute-neg-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	28	522
1	64	490
2	153	406
3	402	406
4	854	406
5	1865	406
6	4273	406
7	5527	406
8	6308	406
9	6775	406
10	6942	406
11	6968	406
12	6974	406
13	6974	406
14	6974	406
15	7006	406
16	7006	406

Stop Event

1×	node limit

Counts

195 → 160

Calls

Call 1

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

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

localize28.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (*.f64 y (log.f64 z)))
✓	0.1b	(+.f64 (.f64 y (-.f64 1 z)) (pow.f64 (sqrt.f64 (.f64 y (log.f64 z))) 2))
✓	0.2b	(pow.f64 (sqrt.f64 (*.f64 y (log.f64 z))) 2)
	0.3b	(*.f64 y (log.f64 z))

Compiler

Compiled 68 to 33 computations (51.5% saved)

series11.0ms (0.1%)

Counts

3 → 35

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	(+.f64 (.f64 y (-.f64 1 z)) (pow.f64 (sqrt.f64 (.f64 y (log.f64 z))) 2))
1.0ms	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	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)

rewrite92.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

533×	`log-prod_binary64`
416×	`fma-def_binary64`
385×	`pow-prod-down_binary64`
286×	`pow2_binary64`
197×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	27
1	258	26
2	3036	26

Stop Event

1×	node limit

Counts

3 → 152

Calls

Call 1

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

Outputs

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1/2) (*.f64 y (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 y (log.f64 z)) 1/4) (pow.f64 (*.f64 y (log.f64 z)) 3/4) (*.f64 y (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 1 z)) (*.f64 (sqrt.f64 (-.f64 1 z)) y) (*.f64 y (log.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 z)) (*.f64 (sqrt.f64 (log.f64 z)) y) (*.f64 y (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 y (log.f64 z)) 3/4) (pow.f64 (*.f64 y (log.f64 z)) 1/4) (*.f64 y (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (pow.f64 (cbrt.f64 (-.f64 1 z)) 2)) (cbrt.f64 (-.f64 1 z)) (*.f64 y (log.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (sqrt.f64 (-.f64 1 z))) (sqrt.f64 (-.f64 1 z)) (*.f64 y (log.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (-.f64 1 z) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (*.f64 y (log.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (-.f64 1 z) (sqrt.f64 y)) (sqrt.f64 y) (*.f64 y (log.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (pow.f64 (cbrt.f64 (log.f64 z)) 2)) (cbrt.f64 (log.f64 z)) (*.f64 y (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (sqrt.f64 (log.f64 z))) (sqrt.f64 (log.f64 z)) (*.f64 y (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (log.f64 z) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (*.f64 y (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (log.f64 z) (sqrt.f64 y)) (sqrt.f64 y) (*.f64 y (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 y (log.f64 z)) 5/6) (pow.f64 (*.f64 y (log.f64 z)) 1/6) (*.f64 y (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 (*.f64 y (log.f64 z)) y) 1/2) (sqrt.f64 (log.f64 z)) (*.f64 y (-.f64 1 z)))))))

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

simplify68.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

613×	`fma-neg_binary64`
401×	`distribute-lft-neg-out_binary64`
399×	`sub-neg_binary64`
348×	`distribute-neg-in_binary64`
345×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	34	370
1	86	353
2	202	344
3	600	294
4	1935	294
5	6283	294

Stop Event

1×	node limit

Counts

187 → 168

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

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

eval315.0ms (3.3%)

Compiler: Compiled 11569 to 6731 computations (41.8% saved)

prune109.0ms (1.1%)

Pruning

19 alts after pruning (9 fresh and 10 done)

	Pruned	Kept	Total
New	585	5	590
Fresh	2	4	6
Picked	0	1	1
Done	1	9	10
Total	588	19	607

Error

Counts

607 → 19

Alt Table

Click to see full alt table

Status	Error	Program
	15.9b	(-.f64 (.f64 x 1/2) (.f64 y z))
	47.3b	(*.f64 (+.f64 1 (log.f64 z)) y)
	32.5b	(+.f64 (.f64 x 1/2) (pow.f64 (pow.f64 (pow.f64 (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) 1/4) 2) 2))
	17.6b	(+.f64 (.f64 x 1/2) (.f64 (cbrt.f64 (pow.f64 (+.f64 1 (log.f64 z)) 3)) y))
	17.8b	(+.f64 (.f64 x 1/2) (/.f64 (.f64 (-.f64 1 (pow.f64 (log.f64 z) 2)) y) (-.f64 1 (log.f64 z))))
✓	17.5b	(+.f64 (.f64 x 1/2) (.f64 (+.f64 1 (log.f64 z)) y))
	41.4b	(+.f64 (.f64 x 1/2) (.f64 (*.f64 (+.f64 1 (log.f64 z)) (sqrt.f64 y)) (sqrt.f64 y)))
✓	16.5b	(+.f64 (.f64 x 1/2) (-.f64 y (.f64 y z)))
✓	0.1b	(+.f64 (.f64 x 1/2) (+.f64 (.f64 y (-.f64 1 z)) (*.f64 y (log.f64 z))))
	17.5b	(+.f64 (.f64 x 1/2) (+.f64 (.f64 (log.f64 z) y) y))
✓	32.6b	(+.f64 (.f64 x 1/2) (+.f64 (.f64 y (-.f64 1 z)) (pow.f64 (sqrt.f64 (*.f64 y (log.f64 z))) 2)))
✓	0.1b	(+.f64 (.f64 x 1/2) (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))
✓	30.6b	(+.f64 (.f64 x 1/2) (cbrt.f64 (pow.f64 (.f64 (+.f64 1 (log.f64 z)) y) 3)))
✓	0.4b	(+.f64 (.f64 x 1/2) (+.f64 (.f64 y (-.f64 1 z)) (pow.f64 (cbrt.f64 (*.f64 y (log.f64 z))) 3)))
✓	32.9b	(*.f64 1/2 x)
	32.6b	(+.f64 (.f64 x 1/2) (+.f64 (.f64 y (-.f64 1 z)) (.f64 (pow.f64 (.f64 y (log.f64 z)) 3/4) (pow.f64 (*.f64 y (log.f64 z)) 1/4))))
✓	42.3b	(+.f64 (.f64 x 1/2) (pow.f64 (sqrt.f64 (.f64 (+.f64 1 (log.f64 z)) y)) 2))
✓	45.5b	(*.f64 y (neg.f64 z))
	17.8b	(+.f64 (.f64 x 1/2) (pow.f64 (cbrt.f64 (.f64 (+.f64 1 (log.f64 z)) y)) 3))

Compiler

Compiled 290 to 217 computations (25.2% saved)

regimes141.0ms (1.5%)

Counts

36 → 1

Calls

Call 1

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

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

Calls

7 calls:

20.0ms	x
18.0ms	(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))
18.0ms	(+.f64 (-.f64 1 z) (log.f64 z))
18.0ms	(+.f64 (.f64 x 1/2) (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))
17.0ms	(*.f64 x 1/2)

Results

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

Compiler

Compiled 580 to 351 computations (39.5% saved)

regimes199.0ms (2.1%)

Counts

11 → 2

Calls

Call 1

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

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

Calls

4 calls:

69.0ms	x
61.0ms	z
43.0ms	(*.f64 x 1/2)
23.0ms	y

Results

Error	Segments	Branch
10.5b	7	`x`
9.1b	3	`y`
0.7b	2	`z`
10.5b	7	`(*.f64 x 1/2)`

Compiler

Compiled 108 to 61 computations (43.5% saved)

bsearch28.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
28.0ms	0.0038094290348527422	7.643028279109039

Compiler

Compiled 21 to 16 computations (23.8% saved)

regimes133.0ms (1.4%)

Counts

8 → 2

Calls

Call 1

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

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

Calls

4 calls:

68.0ms	x
33.0ms	(*.f64 x 1/2)
19.0ms	y
10.0ms	z

Results

Error	Segments	Branch
10.5b	7	`x`
9.1b	3	`y`
0.7b	2	`z`
10.5b	7	`(*.f64 x 1/2)`

Compiler

Compiled 78 to 44 computations (43.6% saved)

bsearch24.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
24.0ms	0.0038094290348527422	7.643028279109039

Compiler

Compiled 21 to 16 computations (23.8% saved)

regimes207.0ms (2.2%)

Counts

6 → 5

Calls

Call 1

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

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

Calls

4 calls:

82.0ms	x
59.0ms	z
43.0ms	y
21.0ms	(*.f64 x 1/2)

Results

Error	Segments	Branch
12.6b	5	`x`
8.6b	5	`y`
10.3b	7	`z`
12.6b	5	`(*.f64 x 1/2)`

Compiler

Compiled 58 to 36 computations (37.9% saved)

bsearch392.0ms (4.1%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
32.0ms	8.194528462595645e+271	1.8374708865465016e+273
143.0ms	1.4424434723229415e+107	5.41723769455546e+109
153.0ms	3.640486745427971e+68	6.79000579272516e+73
63.0ms	-5.255012056480461e+120	-4.29648158822931e+119

Compiler

Compiled 651 to 496 computations (23.8% saved)

regimes20.0ms (0.2%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

4 calls:

5.0ms	x
4.0ms	(*.f64 x 1/2)
4.0ms	y
4.0ms	z

Results

Error	Segments	Branch
15.9b	1	`x`
15.9b	1	`y`
15.9b	1	`z`
15.9b	1	`(*.f64 x 1/2)`

Compiler

Compiled 52 to 32 computations (38.5% saved)

regimes49.0ms (0.5%)

Accuracy

Total -36.4b remaining (-142.5%)

Threshold costs -36.4b (-142.5%)

Counts

2 → 5

Calls

Call 1

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

Calls

3 calls:

25.0ms	y
14.0ms	x
8.0ms	z

Results

Error	Segments	Branch
25.6b	5	`x`
25.7b	9	`y`
28.2b	2	`z`

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch103.0ms (1.1%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
25.0ms	2.8093600887560127e+81	3.372107792926778e+81
27.0ms	3.29216138785619e+38	3.3594813682810984e+41
25.0ms	1.4172623955718439e-39	4.0677718908972134e-36
26.0ms	-1.798952552132466e-89	-1.2956330799236441e-100

Compiler

Compiled 21 to 16 computations (23.8% saved)

simplify27.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

13×	`+-commutative_binary64`
9×	`*-commutative_binary64`
6×	`sub-neg_binary64`
3×	`neg-sub0_binary64`
3×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	219
1	84	219
2	94	219
3	99	219
4	101	219

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 (.f64 x 1/2) (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))
(if (<=.f64 z 8783945309110865/2305843009213693952) (+.f64 (.f64 x 1/2) (.f64 (+.f64 1 (log.f64 z)) y)) (+.f64 (.f64 x 1/2) (-.f64 y (.f64 y z))))
(if (<=.f64 z 8783945309110865/2305843009213693952) (+.f64 (.f64 x 1/2) (+.f64 (.f64 (log.f64 z) y) y)) (+.f64 (.f64 x 1/2) (-.f64 y (.f64 y z))))
(if (<=.f64 y -440000000000000025604005312704521194096587714405987859951480094729756718499901230008350492696468794542379769731559194624) (.f64 (+.f64 1 (log.f64 z)) y) (if (<=.f64 y 369999999999999998102340069930400902459591772500915930690379216584704) (-.f64 (.f64 x 1/2) (.f64 y z)) (if (<=.f64 y 54000000000000000271501922677267213872808346166094066888997532265806224184496979893643209066317015730901483520) (.f64 (+.f64 1 (log.f64 z)) y) (if (<=.f64 y 82000000000000004772252752207990023859942357307750751184961868758697290115091007203379142498188837122430579649533108529793998189230502114578730022035972752663948534278888455723099661983407711670936670156228927593583291517144937150941008698781650098904918102445370950811648) (-.f64 (.f64 x 1/2) (.f64 y z)) (*.f64 (+.f64 1 (log.f64 z)) y)))))
(-.f64 (.f64 x 1/2) (.f64 y z))
(if (<=.f64 x -2578684492842261/143343663499379469475676305956380433799785311823017570233599302461682679755530300504376159569382855409664) (.f64 1/2 x) (if (<=.f64 x 8687793205803033/6129982163463555433433388108601236734474956488734408704) (.f64 y (neg.f64 z)) (if (<=.f64 x 329216138785619011204829990231581130752) (.f64 1/2 x) (if (<=.f64 x 2809360088756012737325993853887669028832999469779685633550088964396265418029793280) (.f64 y (neg.f64 z)) (*.f64 1/2 x)))))
(*.f64 1/2 x)

Outputs
(+.f64 (.f64 x 1/2) (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))
(if (<=.f64 z 8783945309110865/2305843009213693952) (+.f64 (.f64 x 1/2) (.f64 (+.f64 1 (log.f64 z)) y)) (+.f64 (.f64 x 1/2) (-.f64 y (.f64 y z))))
(if (<=.f64 z 8783945309110865/2305843009213693952) (+.f64 (.f64 x 1/2) (.f64 y (+.f64 1 (log.f64 z)))) (+.f64 (.f64 x 1/2) (-.f64 y (.f64 y z))))
(if (<=.f64 z 8783945309110865/2305843009213693952) (+.f64 (.f64 x 1/2) (+.f64 (.f64 (log.f64 z) y) y)) (+.f64 (.f64 x 1/2) (-.f64 y (.f64 y z))))
(if (<=.f64 z 8783945309110865/2305843009213693952) (+.f64 (.f64 x 1/2) (+.f64 y (.f64 y (log.f64 z)))) (+.f64 (.f64 x 1/2) (-.f64 y (.f64 y z))))
(if (<=.f64 y -440000000000000025604005312704521194096587714405987859951480094729756718499901230008350492696468794542379769731559194624) (.f64 (+.f64 1 (log.f64 z)) y) (if (<=.f64 y 369999999999999998102340069930400902459591772500915930690379216584704) (-.f64 (.f64 x 1/2) (.f64 y z)) (if (<=.f64 y 54000000000000000271501922677267213872808346166094066888997532265806224184496979893643209066317015730901483520) (.f64 (+.f64 1 (log.f64 z)) y) (if (<=.f64 y 82000000000000004772252752207990023859942357307750751184961868758697290115091007203379142498188837122430579649533108529793998189230502114578730022035972752663948534278888455723099661983407711670936670156228927593583291517144937150941008698781650098904918102445370950811648) (-.f64 (.f64 x 1/2) (.f64 y z)) (*.f64 (+.f64 1 (log.f64 z)) y)))))
(if (<=.f64 y -440000000000000025604005312704521194096587714405987859951480094729756718499901230008350492696468794542379769731559194624) (.f64 y (+.f64 1 (log.f64 z))) (if (<=.f64 y 369999999999999998102340069930400902459591772500915930690379216584704) (-.f64 (.f64 x 1/2) (.f64 y z)) (if (<=.f64 y 54000000000000000271501922677267213872808346166094066888997532265806224184496979893643209066317015730901483520) (.f64 y (+.f64 1 (log.f64 z))) (if (<=.f64 y 82000000000000004772252752207990023859942357307750751184961868758697290115091007203379142498188837122430579649533108529793998189230502114578730022035972752663948534278888455723099661983407711670936670156228927593583291517144937150941008698781650098904918102445370950811648) (-.f64 (.f64 x 1/2) (.f64 y z)) (*.f64 y (+.f64 1 (log.f64 z)))))))
(-.f64 (.f64 x 1/2) (.f64 y z))
(if (<=.f64 x -2578684492842261/143343663499379469475676305956380433799785311823017570233599302461682679755530300504376159569382855409664) (.f64 1/2 x) (if (<=.f64 x 8687793205803033/6129982163463555433433388108601236734474956488734408704) (.f64 y (neg.f64 z)) (if (<=.f64 x 329216138785619011204829990231581130752) (.f64 1/2 x) (if (<=.f64 x 2809360088756012737325993853887669028832999469779685633550088964396265418029793280) (.f64 y (neg.f64 z)) (*.f64 1/2 x)))))
(if (<=.f64 x -2578684492842261/143343663499379469475676305956380433799785311823017570233599302461682679755530300504376159569382855409664) (.f64 x 1/2) (if (<=.f64 x 8687793205803033/6129982163463555433433388108601236734474956488734408704) (.f64 y (neg.f64 z)) (if (<=.f64 x 329216138785619011204829990231581130752) (.f64 x 1/2) (if (<=.f64 x 2809360088756012737325993853887669028832999469779685633550088964396265418029793280) (.f64 y (neg.f64 z)) (*.f64 x 1/2)))))
(*.f64 1/2 x)
(*.f64 x 1/2)

Compiler

Compiled 170 to 113 computations (33.5% saved)

soundness0.0ms (0%)

end73.0ms (0.8%)

Compiler: Compiled 152 to 88 computations (42.1% saved)

Iter	Nodes	Cost
0	10	316
1	18	316
2	36	316
3	49	316
4	70	316
5	113	316
6	194	316
7	270	316
8	343	316
9	465	316
10	523	316
11	529	316

Iter	Nodes	Cost
0	10	316
1	18	316
2	36	316
3	49	316
4	70	316
5	113	316
6	194	316
7	270	316
8	343	316
9	465	316
10	523	316
11	529	316

Iter	Nodes	Cost
0	10	316
1	18	316
2	36	316
3	49	316
4	70	316
5	113	316
6	194	316
7	270	316
8	343	316
9	465	316
10	523	316
11	529	316