Details

analyze369.0ms (9.8%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
6.2%	49.9%	43.8%	7
9.4%	46.8%	43.8%	8
14%	39%	47%	9
18.7%	30%	51.2%	10
21.8%	26.7%	51.4%	11
25.9%	21.8%	52.2%	12
29.4%	16.6%	54.1%	13
31.4%	14.3%	54.2%	14

Compiler

Compiled 16 to 12 computations (25% saved)

sample1.1s (28.5%)

Results

998.0ms	8256×	body	128	valid
62.0ms	428×	body	128	invalid

Compiler

Compiled 32 to 24 computations (25% saved)

preprocess40.0ms (1.1%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

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

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

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify39.0ms (1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.1b

Counts

3 → 1

Alt Table

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

Compiler

Compiled 51 to 31 computations (39.2% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

series50.0ms (1.3%)

Counts

3 → 69

Calls

18 calls:

Time	Variable		Point	Expression
31.0ms	y	@	0	(fma.f64 y (-.f64 (log.f64 z) z) y)
6.0ms	y	@	-inf	(fma.f64 y (-.f64 (log.f64 z) z) y)
2.0ms	z	@	0	(fma.f64 y (-.f64 (log.f64 z) z) y)
2.0ms	z	@	-inf	(fma.f64 y (-.f64 (log.f64 z) z) y)
2.0ms	x	@	0	(fma.f64 x 1/2 (fma.f64 y (-.f64 (log.f64 z) z) y))

rewrite56.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

472×	`prod-diff_binary64`
425×	`log-prod_binary64`
221×	`fma-def_binary64`
175×	`expm1-udef_binary64`
175×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 150

Calls

Call 1

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

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

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

simplify49.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

535×	`sub-neg_binary64`
489×	`fma-def_binary64`
365×	`unsub-neg_binary64`
256×	`associate--l-_binary64`
206×	`distribute-neg-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	51	926
1	152	819
2	386	717
3	1065	717
4	3043	717
5	4451	717

Stop Event

1×	node limit

Counts

219 → 175

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

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

prune131.0ms (3.5%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	169	6	175
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	170	6	176

Error

0.0b

Counts

176 → 6

Alt Table

Status	Error	Program
	13.1b	(fma.f64 x 1/2 (fma.f64 y (/.f64 1 (/.f64 (+.f64 z (log.f64 z)) (-.f64 (pow.f64 (log.f64 z) 2) (*.f64 z z)))) y))
	13.1b	(fma.f64 x 1/2 (fma.f64 y (.f64 (-.f64 (pow.f64 (log.f64 z) 2) (.f64 z z)) (/.f64 1 (+.f64 z (log.f64 z)))) y))
	0.6b	(fma.f64 x 1/2 (fma.f64 y (*.f64 (cbrt.f64 (-.f64 (log.f64 z) z)) (pow.f64 (cbrt.f64 (-.f64 (log.f64 z) z)) 2)) y))
	1.4b	(*.f64 (cbrt.f64 (fma.f64 x 1/2 (fma.f64 y (-.f64 (log.f64 z) z) y))) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (fma.f64 y (-.f64 (log.f64 z) z) y))) 2))
	33.1b	(fma.f64 x 1/2 (pow.f64 (sqrt.f64 (fma.f64 y (-.f64 (log.f64 z) z) y)) 2))
▶	0.1b	(fma.f64 x 1/2 (+.f64 y (*.f64 y (-.f64 (log.f64 z) z))))

Compiler

Compiled 3196 to 1314 computations (58.9% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

series9.0ms (0.2%)

Counts

3 → 72

Calls

21 calls:

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

rewrite53.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

525×	`log-prod_binary64`
423×	`fma-def_binary64`
203×	`expm1-udef_binary64`
203×	`log1p-udef_binary64`
199×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	37
1	218	33
2	3020	33

Stop Event

1×	node limit

Counts

3 → 113

Calls

Call 1

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

Outputs
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Outputs

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

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

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

simplify51.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

586×	`fma-def_binary64`
533×	`unsub-neg_binary64`
330×	`sub-neg_binary64`
274×	`distribute-rgt-in_binary64`
187×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	49	983
1	149	873
2	387	873
3	1038	771
4	2989	771
5	4815	771

Stop Event

1×	node limit

Counts

185 → 137

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

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

prune200.0ms (5.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	232	2	234
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	233	7	240

Error

0.0b

Counts

240 → 7

Alt Table

Status	Error	Program
	0.7b	(fma.f64 x 1/2 (fma.f64 (*.f64 (-.f64 (log.f64 z) z) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) y))
	13.1b	(fma.f64 x 1/2 (fma.f64 y (/.f64 1 (/.f64 (+.f64 z (log.f64 z)) (-.f64 (pow.f64 (log.f64 z) 2) (*.f64 z z)))) y))
	13.1b	(fma.f64 x 1/2 (fma.f64 y (.f64 (-.f64 (pow.f64 (log.f64 z) 2) (.f64 z z)) (/.f64 1 (+.f64 z (log.f64 z)))) y))
	0.6b	(fma.f64 x 1/2 (fma.f64 y (*.f64 (cbrt.f64 (-.f64 (log.f64 z) z)) (pow.f64 (cbrt.f64 (-.f64 (log.f64 z) z)) 2)) y))
▶	0.6b	(fma.f64 x 1/2 (fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 z) z)) 2) (*.f64 (cbrt.f64 (-.f64 (log.f64 z) z)) y) y))
	1.4b	(*.f64 (cbrt.f64 (fma.f64 x 1/2 (fma.f64 y (-.f64 (log.f64 z) z) y))) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (fma.f64 y (-.f64 (log.f64 z) z) y))) 2))
✓	0.1b	(fma.f64 x 1/2 (+.f64 y (*.f64 y (-.f64 (log.f64 z) z))))

Compiler

Compiled 4357 to 1797 computations (58.8% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (cbrt.f64 (-.f64 (log.f64 z) z)) y)
✓	0.3b	(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 z) z)) 2) (*.f64 (cbrt.f64 (-.f64 (log.f64 z) z)) y) y)
✓	0.4b	(pow.f64 (cbrt.f64 (-.f64 (log.f64 z) z)) 2)
✓	0.5b	(cbrt.f64 (-.f64 (log.f64 z) z))

series31.0ms (0.8%)

Counts

4 → 42

Calls

18 calls:

Time	Variable		Point	Expression
18.0ms	z	@	0	(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 z) z)) 2) (*.f64 (cbrt.f64 (-.f64 (log.f64 z) z)) y) y)
3.0ms	y	@	0	(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 z) z)) 2) (*.f64 (cbrt.f64 (-.f64 (log.f64 z) z)) y) y)
1.0ms	z	@	0	(cbrt.f64 (-.f64 (log.f64 z) z))
1.0ms	z	@	inf	(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 z) z)) 2) (*.f64 (cbrt.f64 (-.f64 (log.f64 z) z)) y) y)
1.0ms	z	@	0	(pow.f64 (cbrt.f64 (-.f64 (log.f64 z) z)) 2)

rewrite52.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

463×	`log-prod_binary64`
433×	`prod-diff_binary64`
226×	`fma-def_binary64`
178×	`expm1-udef_binary64`
178×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	55
1	210	42
2	2592	40

Stop Event

1×	node limit

Counts

4 → 96

Calls

Call 1

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

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

simplify43.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

755×	`distribute-rgt-neg-in_binary64`
403×	`associate-l_binary64`
401×	`associate-r_binary64`
320×	`fma-def_binary64`
240×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	83	1024
1	263	1022
2	866	997
3	3843	996

Stop Event

1×	node limit

Counts

138 → 130

Calls

Call 1

Inputs
(pow.f64 (log.f64 z) 1/3)
(-.f64 (pow.f64 (log.f64 z) 1/3) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 2)) 1/9) z)))
(-.f64 (pow.f64 (log.f64 z) 1/3) (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 7)) 1/9) (pow.f64 z 2))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 2)) 1/9) z))))
(-.f64 (pow.f64 (log.f64 z) 1/3) (+.f64 (.f64 5/81 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 4)) 1/3) (pow.f64 z 3))) (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 7)) 1/9) (pow.f64 z 2))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 2)) 1/9) z)))))
(pow.f64 (pow.f64 (log.f64 z) 2) 1/3)
(-.f64 (pow.f64 (pow.f64 (log.f64 z) 2) 1/3) (.f64 2/3 (.f64 (pow.f64 (log.f64 z) 1/9) z)))
(-.f64 (pow.f64 (pow.f64 (log.f64 z) 2) 1/3) (+.f64 (.f64 2/3 (.f64 (pow.f64 (log.f64 z) 1/9) z)) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 4)) 1/9) (pow.f64 z 2)))))
(-.f64 (pow.f64 (pow.f64 (log.f64 z) 2) 1/3) (+.f64 (.f64 2/3 (.f64 (pow.f64 (log.f64 z) 1/9) z)) (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 4)) 1/9) (pow.f64 z 2))) (*.f64 4/81 (/.f64 (pow.f64 z 3) (log.f64 z))))))
(+.f64 (*.f64 (log.f64 z) y) y)
(-.f64 (+.f64 (.f64 (log.f64 z) y) y) (.f64 (pow.f64 (pow.f64 (log.f64 z) 4) 1/9) (*.f64 y z)))
(-.f64 (+.f64 (.f64 (log.f64 z) y) y) (.f64 (pow.f64 (pow.f64 (log.f64 z) 4) 1/9) (*.f64 y z)))
(-.f64 (+.f64 (.f64 (log.f64 z) y) y) (.f64 (pow.f64 (pow.f64 (log.f64 z) 4) 1/9) (*.f64 y z)))
y
y
(*.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 z (+.f64 1 (log.f64 z)))))
(.f64 -1 (.f64 y (-.f64 z (+.f64 1 (log.f64 z)))))
(.f64 -1 (.f64 y (-.f64 z (+.f64 1 (log.f64 z)))))
(.f64 -1 (.f64 y (-.f64 z (+.f64 1 (log.f64 z)))))
(*.f64 (pow.f64 (log.f64 z) 1/3) y)
(-.f64 (.f64 (pow.f64 (log.f64 z) 1/3) y) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 2)) 1/9) (.f64 y z))))
(-.f64 (.f64 (pow.f64 (log.f64 z) 1/3) y) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 2)) 1/9) (.f64 y z))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 7)) 1/9) (*.f64 y (pow.f64 z 2))))))
(-.f64 (.f64 (pow.f64 (log.f64 z) 1/3) y) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 2)) 1/9) (.f64 y z))) (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 7)) 1/9) (.f64 y (pow.f64 z 2)))) (.f64 5/81 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 4)) 1/3) (.f64 y (pow.f64 z 3)))))))
(*.f64 y (pow.f64 (-.f64 (log.f64 z) z) 1/3))
(*.f64 y (pow.f64 (-.f64 (log.f64 z) z) 1/3))
(*.f64 y (pow.f64 (-.f64 (log.f64 z) z) 1/3))
(*.f64 y (pow.f64 (-.f64 (log.f64 z) z) 1/3))
(*.f64 y (pow.f64 (-.f64 (log.f64 z) z) 1/3))
(*.f64 y (pow.f64 (-.f64 (log.f64 z) z) 1/3))
(*.f64 y (pow.f64 (-.f64 (log.f64 z) z) 1/3))
(*.f64 y (pow.f64 (-.f64 (log.f64 z) z) 1/3))
(*.f64 y (pow.f64 (-.f64 (log.f64 z) z) 1/3))
(*.f64 y (pow.f64 (-.f64 (log.f64 z) z) 1/3))
(*.f64 y (pow.f64 (-.f64 (log.f64 z) z) 1/3))
(*.f64 y (pow.f64 (-.f64 (log.f64 z) z) 1/3))

Outputs
(pow.f64 (log.f64 z) 1/3)
(cbrt.f64 (log.f64 z))
(-.f64 (pow.f64 (log.f64 z) 1/3) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 2)) 1/9) z)))
(-.f64 (cbrt.f64 (log.f64 z)) (.f64 (.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 2)) 1/18))) z))
(+.f64 (cbrt.f64 (log.f64 z)) (.f64 (.f64 -1/3 z) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 2)) 1/18))))
(fma.f64 (.f64 z (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 2)) 1/18))) -1/3 (cbrt.f64 (log.f64 z)))
(-.f64 (pow.f64 (log.f64 z) 1/3) (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 7)) 1/9) (pow.f64 z 2))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 2)) 1/9) z))))
(-.f64 (cbrt.f64 (log.f64 z)) (fma.f64 1/9 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 7)) 1/18)) (.f64 z z)) (.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 2)) 1/18))) z)))
(-.f64 (cbrt.f64 (log.f64 z)) (fma.f64 1/3 (.f64 z (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 2)) 1/18))) (.f64 1/9 (.f64 (.f64 z (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 7)) 1/18)) (.f64 z (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 7)) 1/18))))))
(-.f64 (cbrt.f64 (log.f64 z)) (.f64 z (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 2)) 1/18))) (.f64 z (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 7)) 1/18) (.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 7)) 1/18)))))))
(-.f64 (pow.f64 (log.f64 z) 1/3) (+.f64 (.f64 5/81 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 4)) 1/3) (pow.f64 z 3))) (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 7)) 1/9) (pow.f64 z 2))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 2)) 1/9) z)))))
(-.f64 (cbrt.f64 (log.f64 z)) (fma.f64 5/81 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 z) 4))) (pow.f64 z 3)) (fma.f64 1/9 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 7)) 1/18)) (.f64 z z)) (.f64 (.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 2)) 1/18))) z))))
(-.f64 (cbrt.f64 (log.f64 z)) (fma.f64 5/81 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 z) 4))) (pow.f64 z 3)) (fma.f64 1/3 (.f64 z (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 2)) 1/18))) (.f64 1/9 (.f64 (.f64 z (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 7)) 1/18)) (*.f64 z (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 7)) 1/18)))))))
(-.f64 (cbrt.f64 (log.f64 z)) (fma.f64 5/81 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 z) 4))) (pow.f64 z 3)) (.f64 z (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 2)) 1/18))) (.f64 z (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 7)) 1/18) (*.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 7)) 1/18))))))))
(pow.f64 (pow.f64 (log.f64 z) 2) 1/3)
(cbrt.f64 (pow.f64 (log.f64 z) 2))
(-.f64 (pow.f64 (pow.f64 (log.f64 z) 2) 1/3) (.f64 2/3 (.f64 (pow.f64 (log.f64 z) 1/9) z)))
(+.f64 (cbrt.f64 (pow.f64 (log.f64 z) 2)) (.f64 -2/3 (.f64 z (*.f64 (pow.f64 (log.f64 z) 1/18) (pow.f64 (log.f64 z) 1/18)))))
(+.f64 (cbrt.f64 (pow.f64 (log.f64 z) 2)) (.f64 (.f64 -2/3 z) (*.f64 (pow.f64 (log.f64 z) 1/18) (pow.f64 (log.f64 z) 1/18))))
(fma.f64 (.f64 (pow.f64 (log.f64 z) 1/18) (.f64 z (pow.f64 (log.f64 z) 1/18))) -2/3 (cbrt.f64 (pow.f64 (log.f64 z) 2)))
(-.f64 (pow.f64 (pow.f64 (log.f64 z) 2) 1/3) (+.f64 (.f64 2/3 (.f64 (pow.f64 (log.f64 z) 1/9) z)) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 4)) 1/9) (pow.f64 z 2)))))
(-.f64 (cbrt.f64 (pow.f64 (log.f64 z) 2)) (fma.f64 2/3 (.f64 z (.f64 (pow.f64 (log.f64 z) 1/18) (pow.f64 (log.f64 z) 1/18))) (.f64 1/9 (.f64 (.f64 z z) (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 4)) 1/18))))))
(-.f64 (cbrt.f64 (pow.f64 (log.f64 z) 2)) (fma.f64 1/9 (.f64 z (.f64 z (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 4)) 1/18)))) (.f64 z (.f64 2/3 (.f64 (pow.f64 (log.f64 z) 1/18) (pow.f64 (log.f64 z) 1/18))))))
(+.f64 (cbrt.f64 (pow.f64 (log.f64 z) 2)) (.f64 z (-.f64 (.f64 (.f64 (pow.f64 (log.f64 z) 1/18) (pow.f64 (log.f64 z) 1/18)) -2/3) (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 4)) 1/18)) (.f64 1/9 z)))))
(-.f64 (pow.f64 (pow.f64 (log.f64 z) 2) 1/3) (+.f64 (.f64 2/3 (.f64 (pow.f64 (log.f64 z) 1/9) z)) (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 4)) 1/9) (pow.f64 z 2))) (*.f64 4/81 (/.f64 (pow.f64 z 3) (log.f64 z))))))
(-.f64 (cbrt.f64 (pow.f64 (log.f64 z) 2)) (fma.f64 2/3 (.f64 z (.f64 (pow.f64 (log.f64 z) 1/18) (pow.f64 (log.f64 z) 1/18))) (fma.f64 1/9 (.f64 (.f64 z z) (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 4)) 1/18))) (.f64 4/81 (/.f64 (pow.f64 z 3) (log.f64 z))))))
(-.f64 (cbrt.f64 (pow.f64 (log.f64 z) 2)) (fma.f64 2/3 (.f64 z (.f64 (pow.f64 (log.f64 z) 1/18) (pow.f64 (log.f64 z) 1/18))) (fma.f64 1/9 (.f64 z (.f64 z (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 4)) 1/18)))) (.f64 4/81 (/.f64 (pow.f64 z 3) (log.f64 z))))))
(-.f64 (cbrt.f64 (pow.f64 (log.f64 z) 2)) (fma.f64 4/81 (/.f64 (pow.f64 z 3) (log.f64 z)) (.f64 z (+.f64 (.f64 (pow.f64 (log.f64 z) 1/18) (.f64 2/3 (pow.f64 (log.f64 z) 1/18))) (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 4)) 1/18)) (.f64 1/9 z))))))
(+.f64 (*.f64 (log.f64 z) y) y)
(fma.f64 (log.f64 z) y y)
(-.f64 (+.f64 (.f64 (log.f64 z) y) y) (.f64 (pow.f64 (pow.f64 (log.f64 z) 4) 1/9) (*.f64 y z)))
(-.f64 (fma.f64 (log.f64 z) y y) (.f64 (.f64 (pow.f64 (pow.f64 (log.f64 z) 4) 1/18) (pow.f64 (pow.f64 (log.f64 z) 4) 1/18)) (*.f64 z y)))
(-.f64 (fma.f64 (log.f64 z) y y) (.f64 z (.f64 (pow.f64 (pow.f64 (log.f64 z) 4) 1/18) (*.f64 (pow.f64 (pow.f64 (log.f64 z) 4) 1/18) y))))
(.f64 y (-.f64 (+.f64 (log.f64 z) 1) (.f64 z (*.f64 (pow.f64 (pow.f64 (log.f64 z) 4) 1/18) (pow.f64 (pow.f64 (log.f64 z) 4) 1/18)))))
(-.f64 (+.f64 (.f64 (log.f64 z) y) y) (.f64 (pow.f64 (pow.f64 (log.f64 z) 4) 1/9) (*.f64 y z)))
(-.f64 (fma.f64 (log.f64 z) y y) (.f64 (.f64 (pow.f64 (pow.f64 (log.f64 z) 4) 1/18) (pow.f64 (pow.f64 (log.f64 z) 4) 1/18)) (*.f64 z y)))
(-.f64 (fma.f64 (log.f64 z) y y) (.f64 z (.f64 (pow.f64 (pow.f64 (log.f64 z) 4) 1/18) (*.f64 (pow.f64 (pow.f64 (log.f64 z) 4) 1/18) y))))
(.f64 y (-.f64 (+.f64 (log.f64 z) 1) (.f64 z (*.f64 (pow.f64 (pow.f64 (log.f64 z) 4) 1/18) (pow.f64 (pow.f64 (log.f64 z) 4) 1/18)))))
(-.f64 (+.f64 (.f64 (log.f64 z) y) y) (.f64 (pow.f64 (pow.f64 (log.f64 z) 4) 1/9) (*.f64 y z)))
(-.f64 (fma.f64 (log.f64 z) y y) (.f64 (.f64 (pow.f64 (pow.f64 (log.f64 z) 4) 1/18) (pow.f64 (pow.f64 (log.f64 z) 4) 1/18)) (*.f64 z y)))
(-.f64 (fma.f64 (log.f64 z) y y) (.f64 z (.f64 (pow.f64 (pow.f64 (log.f64 z) 4) 1/18) (*.f64 (pow.f64 (pow.f64 (log.f64 z) 4) 1/18) y))))
(.f64 y (-.f64 (+.f64 (log.f64 z) 1) (.f64 z (*.f64 (pow.f64 (pow.f64 (log.f64 z) 4) 1/18) (pow.f64 (pow.f64 (log.f64 z) 4) 1/18)))))
y
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)))
(*.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)))
(*.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)))
(*.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)))
(*.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)))
(*.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)))
(*.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)))
(*.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)))
(.f64 -1 (.f64 y (-.f64 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)))
(.f64 -1 (.f64 y (-.f64 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)))
(.f64 -1 (.f64 y (-.f64 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)))
(.f64 -1 (.f64 y (-.f64 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)))
(*.f64 (pow.f64 (log.f64 z) 1/3) y)
(*.f64 (cbrt.f64 (log.f64 z)) y)
(-.f64 (.f64 (pow.f64 (log.f64 z) 1/3) y) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 2)) 1/9) (.f64 y z))))
(-.f64 (.f64 (cbrt.f64 (log.f64 z)) y) (.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 2)) 1/18))) (*.f64 z y)))
(fma.f64 (cbrt.f64 (log.f64 z)) y (.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 2)) 1/18))) (.f64 z y)))
(.f64 y (fma.f64 (.f64 z (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 2)) 1/18))) -1/3 (cbrt.f64 (log.f64 z))))
(-.f64 (.f64 (pow.f64 (log.f64 z) 1/3) y) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 2)) 1/9) (.f64 y z))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 7)) 1/9) (*.f64 y (pow.f64 z 2))))))
(-.f64 (.f64 (cbrt.f64 (log.f64 z)) y) (fma.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 2)) 1/18)) (.f64 z y)) (.f64 1/9 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 7)) 1/18)) (.f64 (*.f64 z z) y)))))
(+.f64 (fma.f64 (cbrt.f64 (log.f64 z)) y (.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 2)) 1/18))) (.f64 z y))) (.f64 -1/9 (.f64 (.f64 z z) (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 7)) 1/18) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 7)) 1/18) y)))))
(-.f64 (.f64 (cbrt.f64 (log.f64 z)) y) (.f64 y (.f64 z (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 2)) 1/18))) (.f64 z (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 7)) 1/18) (.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 7)) 1/18))))))))
(fma.f64 (cbrt.f64 (log.f64 z)) y (.f64 y (fma.f64 (.f64 z (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 2)) 1/18))) -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 7)) 1/18)) (.f64 (*.f64 z z) -1/9)))))
(-.f64 (.f64 (pow.f64 (log.f64 z) 1/3) y) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 2)) 1/9) (.f64 y z))) (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 7)) 1/9) (.f64 y (pow.f64 z 2)))) (.f64 5/81 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 4)) 1/3) (.f64 y (pow.f64 z 3)))))))
(-.f64 (.f64 (cbrt.f64 (log.f64 z)) y) (fma.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 2)) 1/18)) (.f64 z y)) (fma.f64 1/9 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 7)) 1/18)) (.f64 (.f64 z z) y)) (.f64 (.f64 5/81 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 z) 4)))) (*.f64 (pow.f64 z 3) y)))))
(-.f64 (fma.f64 (cbrt.f64 (log.f64 z)) y (.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 2)) 1/18))) (.f64 z y))) (fma.f64 1/9 (.f64 (.f64 z z) (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 7)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 7)) 1/18) y))) (.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 z) 4))) (*.f64 (pow.f64 z 3) 5/81)) y)))
(-.f64 (.f64 y (fma.f64 (.f64 z (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 2)) 1/18))) -1/3 (cbrt.f64 (log.f64 z)))) (.f64 y (.f64 (.f64 z z) (+.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 7)) 1/18) (.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (log.f64 z) 7)) 1/18))) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 z) 4))) (.f64 5/81 z))))))
(*.f64 y (pow.f64 (-.f64 (log.f64 z) z) 1/3))
(*.f64 y (cbrt.f64 (-.f64 (log.f64 z) z)))
(*.f64 y (pow.f64 (-.f64 (log.f64 z) z) 1/3))
(*.f64 y (cbrt.f64 (-.f64 (log.f64 z) z)))
(*.f64 y (pow.f64 (-.f64 (log.f64 z) z) 1/3))
(*.f64 y (cbrt.f64 (-.f64 (log.f64 z) z)))
(*.f64 y (pow.f64 (-.f64 (log.f64 z) z) 1/3))
(*.f64 y (cbrt.f64 (-.f64 (log.f64 z) z)))
(*.f64 y (pow.f64 (-.f64 (log.f64 z) z) 1/3))
(*.f64 y (cbrt.f64 (-.f64 (log.f64 z) z)))
(*.f64 y (pow.f64 (-.f64 (log.f64 z) z) 1/3))
(*.f64 y (cbrt.f64 (-.f64 (log.f64 z) z)))
(*.f64 y (pow.f64 (-.f64 (log.f64 z) z) 1/3))
(*.f64 y (cbrt.f64 (-.f64 (log.f64 z) z)))
(*.f64 y (pow.f64 (-.f64 (log.f64 z) z) 1/3))
(*.f64 y (cbrt.f64 (-.f64 (log.f64 z) z)))
(*.f64 y (pow.f64 (-.f64 (log.f64 z) z) 1/3))
(*.f64 y (cbrt.f64 (-.f64 (log.f64 z) z)))
(*.f64 y (pow.f64 (-.f64 (log.f64 z) z) 1/3))
(*.f64 y (cbrt.f64 (-.f64 (log.f64 z) z)))
(*.f64 y (pow.f64 (-.f64 (log.f64 z) z) 1/3))
(*.f64 y (cbrt.f64 (-.f64 (log.f64 z) z)))
(*.f64 y (pow.f64 (-.f64 (log.f64 z) z) 1/3))
(*.f64 y (cbrt.f64 (-.f64 (log.f64 z) z)))

prune154.0ms (4.1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	166	0	166
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	166	7	173

Error

0.0b

Counts

173 → 7

Alt Table

Status	Error	Program
	0.7b	(fma.f64 x 1/2 (fma.f64 (*.f64 (-.f64 (log.f64 z) z) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) y))
	13.1b	(fma.f64 x 1/2 (fma.f64 y (/.f64 1 (/.f64 (+.f64 z (log.f64 z)) (-.f64 (pow.f64 (log.f64 z) 2) (*.f64 z z)))) y))
	13.1b	(fma.f64 x 1/2 (fma.f64 y (.f64 (-.f64 (pow.f64 (log.f64 z) 2) (.f64 z z)) (/.f64 1 (+.f64 z (log.f64 z)))) y))
▶	0.6b	(fma.f64 x 1/2 (fma.f64 y (*.f64 (cbrt.f64 (-.f64 (log.f64 z) z)) (pow.f64 (cbrt.f64 (-.f64 (log.f64 z) z)) 2)) y))
✓	0.6b	(fma.f64 x 1/2 (fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 z) z)) 2) (*.f64 (cbrt.f64 (-.f64 (log.f64 z) z)) y) y))
	1.4b	(*.f64 (cbrt.f64 (fma.f64 x 1/2 (fma.f64 y (-.f64 (log.f64 z) z) y))) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (fma.f64 y (-.f64 (log.f64 z) z) y))) 2))
✓	0.1b	(fma.f64 x 1/2 (+.f64 y (*.f64 y (-.f64 (log.f64 z) z))))

Compiler

Compiled 4582 to 1997 computations (56.4% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 y (*.f64 (cbrt.f64 (-.f64 (log.f64 z) z)) (pow.f64 (cbrt.f64 (-.f64 (log.f64 z) z)) 2)) y)
✓	0.3b	(*.f64 (cbrt.f64 (-.f64 (log.f64 z) z)) (pow.f64 (cbrt.f64 (-.f64 (log.f64 z) z)) 2))
	0.4b	(pow.f64 (cbrt.f64 (-.f64 (log.f64 z) z)) 2)
	0.5b	(cbrt.f64 (-.f64 (log.f64 z) z))

series30.0ms (0.8%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
28.0ms	y	@	0	(fma.f64 y (*.f64 (cbrt.f64 (-.f64 (log.f64 z) z)) (pow.f64 (cbrt.f64 (-.f64 (log.f64 z) z)) 2)) y)
0.0ms	z	@	0	(*.f64 (cbrt.f64 (-.f64 (log.f64 z) z)) (pow.f64 (cbrt.f64 (-.f64 (log.f64 z) z)) 2))
0.0ms	y	@	-inf	(fma.f64 y (*.f64 (cbrt.f64 (-.f64 (log.f64 z) z)) (pow.f64 (cbrt.f64 (-.f64 (log.f64 z) z)) 2)) y)
0.0ms	z	@	-inf	(*.f64 (cbrt.f64 (-.f64 (log.f64 z) z)) (pow.f64 (cbrt.f64 (-.f64 (log.f64 z) z)) 2))
0.0ms	z	@	inf	(fma.f64 y (*.f64 (cbrt.f64 (-.f64 (log.f64 z) z)) (pow.f64 (cbrt.f64 (-.f64 (log.f64 z) z)) 2)) y)

rewrite43.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

858×	`log1p-expm1-u_binary64`
858×	`expm1-log1p-u_binary64`
96×	`add-sqr-sqrt_binary64`
93×	`pow1_binary64`
92×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	16
1	212	16
2	2377	16

Stop Event

1×	node limit

Counts

2 → 56

Calls

Call 1

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

Outputs

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

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

simplify36.0ms (1%)

Algorithm

1×	egg-herbie

Rules

576×	`fma-neg_binary64`
475×	`sub-neg_binary64`
319×	`unsub-neg_binary64`
291×	`associate--r-_binary64`
276×	`distribute-neg-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	36	334
1	102	334
2	257	292
3	728	292
4	2131	292
5	4247	292

Stop Event

1×	node limit

Counts

92 → 71

Calls

Call 1

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

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

prune169.0ms (4.5%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	172	0	172
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	172	7	179

Error

0.0b

Counts

179 → 7

Alt Table

Status	Error	Program
	0.7b	(fma.f64 x 1/2 (fma.f64 (*.f64 (-.f64 (log.f64 z) z) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) y))
	13.1b	(fma.f64 x 1/2 (fma.f64 y (/.f64 1 (/.f64 (+.f64 z (log.f64 z)) (-.f64 (pow.f64 (log.f64 z) 2) (*.f64 z z)))) y))
	13.1b	(fma.f64 x 1/2 (fma.f64 y (.f64 (-.f64 (pow.f64 (log.f64 z) 2) (.f64 z z)) (/.f64 1 (+.f64 z (log.f64 z)))) y))
✓	0.6b	(fma.f64 x 1/2 (fma.f64 y (*.f64 (cbrt.f64 (-.f64 (log.f64 z) z)) (pow.f64 (cbrt.f64 (-.f64 (log.f64 z) z)) 2)) y))
✓	0.6b	(fma.f64 x 1/2 (fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 z) z)) 2) (*.f64 (cbrt.f64 (-.f64 (log.f64 z) z)) y) y))
	1.4b	(*.f64 (cbrt.f64 (fma.f64 x 1/2 (fma.f64 y (-.f64 (log.f64 z) z) y))) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (fma.f64 y (-.f64 (log.f64 z) z) y))) 2))
✓	0.1b	(fma.f64 x 1/2 (+.f64 y (*.f64 y (-.f64 (log.f64 z) z))))

Compiler

Compiled 4160 to 1856 computations (55.4% saved)

regimes897.0ms (23.8%)

Accuracy

Total 0.1b remaining (58.1%)

Threshold costs 0.1b (58.1%)

Counts

152 → 1

Compiler

Compiled 2291 to 909 computations (60.3% saved)

simplify35.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`
1×	`*-commutative_binary64`
1×	`sub-neg_binary64`
1×	`unsub-neg_binary64`
1×	`neg-sub0_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	16
1	15	14
2	18	14
3	19	14

Stop Event

1×

saturated

Calls

Call 1

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

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

end115.0ms (3.1%)

Stop Event

1×

fuel

Compiler

Compiled 179 to 106 computations (40.8% saved)

Details

analyze369.0ms (9.8%)

sample1.1s (28.5%)

preprocess40.0ms (1.1%)

simplify39.0ms (1%)

prune3.0ms (0.1%)

localize7.0ms (0.2%)

series50.0ms (1.3%)

rewrite56.0ms (1.5%)

simplify49.0ms (1.3%)

prune131.0ms (3.5%)

localize9.0ms (0.2%)

series9.0ms (0.2%)

rewrite53.0ms (1.4%)

simplify51.0ms (1.3%)

prune200.0ms (5.3%)

localize11.0ms (0.3%)

series31.0ms (0.8%)

rewrite52.0ms (1.4%)

simplify43.0ms (1.1%)

prune154.0ms (4.1%)

localize11.0ms (0.3%)

series30.0ms (0.8%)

rewrite43.0ms (1.1%)

simplify36.0ms (1%)

prune169.0ms (4.5%)

regimes897.0ms (23.8%)

simplify35.0ms (0.9%)

end115.0ms (3.1%)

Profiling