Details

analyze498.0ms (15.5%)

Algorithm

1×

Search

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

Compiler

Compiled 16 to 12 computations (25% saved)

sample1.2s (37.5%)

Results

1.1s	8256×	body	128	valid
58.0ms	415×	body	128	invalid

preprocess42.0ms (1.3%)

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 (1.2%)

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)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

series51.0ms (1.6%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
30.0ms	y	@	0	(fma.f64 y (-.f64 (log.f64 z) z) y)
8.0ms	y	@	-inf	(fma.f64 y (-.f64 (log.f64 z) z) y)
3.0ms	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))

rewrite60.0ms (1.9%)

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

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

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((#(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 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 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))))))

simplify46.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

512×	`fma-def_binary64`
270×	`sub-neg_binary64`
267×	`distribute-rgt-in_binary64`
259×	`unsub-neg_binary64`
236×	`associate--l+_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	54	837
1	164	735
2	391	735
3	979	735
4	2715	735

Stop Event

1×	node limit

Counts

222 → 177

Calls

Call 1

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

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

prune183.0ms (5.7%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	172	5	177
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	173	5	178

Error

0.0b

Counts

178 → 5

Alt Table

Status	Error	Program
▶	0.1b	(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y))
	16.8b	(fma.f64 x 1/2 (+.f64 (*.f64 y (log.f64 z)) y))
	26.8b	(fma.f64 x 1/2 (cbrt.f64 (pow.f64 (fma.f64 y (-.f64 (log.f64 z) z) y) 3)))
	29.2b	(fma.f64 x 1/2 (pow.f64 (sqrt.f64 (fma.f64 y (-.f64 (log.f64 z) z) y)) 2))
	0.7b	(fma.f64 x 1/2 (*.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)))

Compiler

Compiled 3160 to 1301 computations (58.8% saved)

localize9.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

series4.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite40.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	14
1	189	14
2	2416	14

Stop Event

1×	node limit

Counts

1 → 30

Calls

Call 1

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

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

Outputs

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

simplify42.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

697×	`unsub-neg_binary64`
532×	`fma-def_binary64`
236×	`sub-neg_binary64`
212×	`distribute-rgt-in_binary64`
196×	`associate--l+_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	46	503
1	127	443
2	342	443
3	936	443
4	2528	443
5	4728	443

Stop Event

1×	node limit

Counts

66 → 46

Calls

Call 1

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

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

prune158.0ms (4.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	144	0	144
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	144	5	149

Error

0.0b

Counts

149 → 5

Alt Table

Status	Error	Program
✓	0.1b	(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y))
	16.8b	(fma.f64 x 1/2 (+.f64 (*.f64 y (log.f64 z)) y))
	26.8b	(fma.f64 x 1/2 (cbrt.f64 (pow.f64 (fma.f64 y (-.f64 (log.f64 z) z) y) 3)))
	29.2b	(fma.f64 x 1/2 (pow.f64 (sqrt.f64 (fma.f64 y (-.f64 (log.f64 z) z) y)) 2))
▶	0.7b	(fma.f64 x 1/2 (*.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)))

Compiler

Compiled 2599 to 1126 computations (56.7% saved)

localize13.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(fma.f64 y (-.f64 (log.f64 z) z) y)
✓	0.3b	(*.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))
✓	0.5b	(pow.f64 (cbrt.f64 (fma.f64 y (-.f64 (log.f64 z) z) y)) 2)
✓	0.6b	(cbrt.f64 (fma.f64 y (-.f64 (log.f64 z) z) y))

series11.0ms (0.4%)

Counts

3 → 32

Calls

18 calls:

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

rewrite51.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

857×	`log1p-expm1-u_binary64`
857×	`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	37
1	211	37
2	2376	37

Stop Event

1×	node limit

Counts

3 → 60

Calls

Call 1

Inputs

(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)

(*.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))

Outputs

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

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

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

simplify59.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

801×	`associate-l_binary64`
772×	`associate-r_binary64`
482×	`fma-def_binary64`
266×	`*-commutative_binary64`
116×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	99	940
1	297	921
2	992	904

Stop Event

1×	node limit

Counts

92 → 87

Calls

Call 1

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

Outputs
(pow.f64 (+.f64 (*.f64 y (log.f64 z)) y) 1/3)
(cbrt.f64 (fma.f64 y (log.f64 z) y))
(+.f64 (pow.f64 (+.f64 (.f64 y (log.f64 z)) y) 1/3) (.f64 -1/3 (.f64 (.f64 y z) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 y (log.f64 z)) y) 2)) 1/9))))
(+.f64 (cbrt.f64 (fma.f64 y (log.f64 z) y)) (.f64 (.f64 -1/3 (.f64 y z)) (.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 y (log.f64 z) y) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 y (log.f64 z) y) 2)) 1/18))))
(fma.f64 -1/3 (.f64 y (.f64 z (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 y (log.f64 z) y) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 y (log.f64 z) y) 2)) 1/18)))) (cbrt.f64 (fma.f64 y (log.f64 z) y)))
(fma.f64 y (.f64 z (.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 y (log.f64 z) y) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 y (log.f64 z) y) 2)) 1/18)))) (cbrt.f64 (fma.f64 y (log.f64 z) y)))
(+.f64 (.f64 -1/9 (.f64 (.f64 (pow.f64 y 2) (pow.f64 z 2)) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 y (log.f64 z)) y) 7)) 1/9))) (+.f64 (pow.f64 (+.f64 (.f64 y (log.f64 z)) y) 1/3) (.f64 -1/3 (.f64 (.f64 y z) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 y (log.f64 z)) y) 2)) 1/9)))))
(fma.f64 -1/9 (.f64 (.f64 y y) (.f64 (.f64 z z) (.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 y (log.f64 z) y) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 y (log.f64 z) y) 7)) 1/18)))) (+.f64 (cbrt.f64 (fma.f64 y (log.f64 z) y)) (.f64 (.f64 -1/3 (.f64 y z)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 y (log.f64 z) y) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 y (log.f64 z) y) 2)) 1/18)))))
(fma.f64 -1/9 (.f64 (.f64 y y) (.f64 (.f64 z z) (.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 y (log.f64 z) y) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 y (log.f64 z) y) 7)) 1/18)))) (fma.f64 -1/3 (.f64 y (.f64 z (.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 y (log.f64 z) y) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 y (log.f64 z) y) 2)) 1/18)))) (cbrt.f64 (fma.f64 y (log.f64 z) y))))
(fma.f64 y (.f64 z (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 y (log.f64 z) y) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 y (log.f64 z) y) 2)) 1/18)))) (fma.f64 -1/9 (.f64 z (.f64 (.f64 y (.f64 y z)) (.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 y (log.f64 z) y) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 y (log.f64 z) y) 7)) 1/18)))) (cbrt.f64 (fma.f64 y (log.f64 z) y))))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 y (log.f64 z)) y) 2)) 1/3) (.f64 (+.f64 (.f64 2/9 (.f64 (pow.f64 y 3) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 y (log.f64 z)) y) 2)) 1/3))) (.f64 -1/27 (.f64 (pow.f64 y 3) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 y (log.f64 z)) y) 2)) 1/3)))) (pow.f64 z 3)))) (+.f64 (.f64 -1/9 (.f64 (.f64 (pow.f64 y 2) (pow.f64 z 2)) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 y (log.f64 z)) y) 7)) 1/9))) (+.f64 (pow.f64 (+.f64 (.f64 y (log.f64 z)) y) 1/3) (.f64 -1/3 (.f64 (.f64 y z) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 y (log.f64 z)) y) 2)) 1/9))))))
(fma.f64 -1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 y (log.f64 z) y) 2))) (.f64 (.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 y (log.f64 z) y) 2))) (pow.f64 y 3)) 5/27) (pow.f64 z 3))) (fma.f64 -1/9 (.f64 (.f64 y y) (.f64 (.f64 z z) (.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 y (log.f64 z) y) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 y (log.f64 z) y) 7)) 1/18)))) (+.f64 (cbrt.f64 (fma.f64 y (log.f64 z) y)) (.f64 (.f64 -1/3 (.f64 y z)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 y (log.f64 z) y) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 y (log.f64 z) y) 2)) 1/18))))))
(fma.f64 -1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 y (log.f64 z) y) 2))) (.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 y (log.f64 z) y) 2))) (pow.f64 y 3)) (.f64 5/27 (pow.f64 z 3)))) (fma.f64 -1/9 (.f64 (.f64 y y) (.f64 (.f64 z z) (.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 y (log.f64 z) y) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 y (log.f64 z) y) 7)) 1/18)))) (fma.f64 -1/3 (.f64 y (.f64 z (.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 y (log.f64 z) y) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 y (log.f64 z) y) 2)) 1/18)))) (cbrt.f64 (fma.f64 y (log.f64 z) y)))))
(fma.f64 -1/9 (.f64 z (.f64 (.f64 y (.f64 y z)) (.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 y (log.f64 z) y) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 y (log.f64 z) y) 7)) 1/18)))) (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 y (log.f64 z) y) 2))) (.f64 (.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 y (log.f64 z) y) 2))) (pow.f64 y 3)) (pow.f64 z 3)) -5/81) (fma.f64 y (.f64 z (.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 y (log.f64 z) y) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 y (log.f64 z) y) 2)) 1/18)))) (cbrt.f64 (fma.f64 y (log.f64 z) y)))))
(pow.f64 (pow.f64 (+.f64 (*.f64 y (log.f64 z)) y) 2) 1/3)
(cbrt.f64 (pow.f64 (fma.f64 y (log.f64 z) y) 2))
(+.f64 (pow.f64 (pow.f64 (+.f64 (.f64 y (log.f64 z)) y) 2) 1/3) (.f64 -2/3 (.f64 (.f64 y z) (pow.f64 (+.f64 (*.f64 y (log.f64 z)) y) 1/9))))
(+.f64 (cbrt.f64 (pow.f64 (fma.f64 y (log.f64 z) y) 2)) (.f64 -2/3 (.f64 (.f64 y z) (.f64 (pow.f64 (fma.f64 y (log.f64 z) y) 1/18) (pow.f64 (fma.f64 y (log.f64 z) y) 1/18)))))
(fma.f64 -2/3 (.f64 y (.f64 (*.f64 z (pow.f64 (fma.f64 y (log.f64 z) y) 1/18)) (pow.f64 (fma.f64 y (log.f64 z) y) 1/18))) (cbrt.f64 (pow.f64 (fma.f64 y (log.f64 z) y) 2)))
(fma.f64 y (.f64 z (.f64 -2/3 (*.f64 (pow.f64 (fma.f64 y (log.f64 z) y) 1/18) (pow.f64 (fma.f64 y (log.f64 z) y) 1/18)))) (cbrt.f64 (pow.f64 (fma.f64 y (log.f64 z) y) 2)))
(+.f64 (.f64 (+.f64 (.f64 1/9 (.f64 (pow.f64 y 2) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 y (log.f64 z)) y) 4)) 1/9))) (.f64 -2/9 (.f64 (pow.f64 y 2) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 y (log.f64 z)) y) 4)) 1/9)))) (pow.f64 z 2)) (+.f64 (pow.f64 (pow.f64 (+.f64 (.f64 y (log.f64 z)) y) 2) 1/3) (.f64 -2/3 (.f64 (.f64 y z) (pow.f64 (+.f64 (.f64 y (log.f64 z)) y) 1/9)))))
(fma.f64 (.f64 (.f64 (.f64 y y) (.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 y (log.f64 z) y) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 y (log.f64 z) y) 4)) 1/18))) -1/9) (.f64 z z) (+.f64 (cbrt.f64 (pow.f64 (fma.f64 y (log.f64 z) y) 2)) (.f64 -2/3 (.f64 (.f64 y z) (*.f64 (pow.f64 (fma.f64 y (log.f64 z) y) 1/18) (pow.f64 (fma.f64 y (log.f64 z) y) 1/18))))))
(fma.f64 (.f64 z z) (.f64 -1/9 (.f64 y (.f64 y (.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 y (log.f64 z) y) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 y (log.f64 z) y) 4)) 1/18))))) (fma.f64 -2/3 (.f64 y (.f64 (.f64 z (pow.f64 (fma.f64 y (log.f64 z) y) 1/18)) (pow.f64 (fma.f64 y (log.f64 z) y) 1/18))) (cbrt.f64 (pow.f64 (fma.f64 y (log.f64 z) y) 2))))
(fma.f64 (.f64 z z) (.f64 (.f64 y y) (.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 y (log.f64 z) y) 4)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 y (log.f64 z) y) 4)) 1/18) -1/9))) (fma.f64 y (.f64 z (.f64 -2/3 (.f64 (pow.f64 (fma.f64 y (log.f64 z) y) 1/18) (pow.f64 (fma.f64 y (log.f64 z) y) 1/18)))) (cbrt.f64 (pow.f64 (fma.f64 y (log.f64 z) y) 2))))
(+.f64 (.f64 (+.f64 (.f64 1/9 (.f64 (pow.f64 y 2) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 y (log.f64 z)) y) 4)) 1/9))) (.f64 -2/9 (.f64 (pow.f64 y 2) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 y (log.f64 z)) y) 4)) 1/9)))) (pow.f64 z 2)) (+.f64 (pow.f64 (pow.f64 (+.f64 (.f64 y (log.f64 z)) y) 2) 1/3) (+.f64 (.f64 -2/3 (.f64 (.f64 y z) (pow.f64 (+.f64 (.f64 y (log.f64 z)) y) 1/9))) (.f64 (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (+.f64 (.f64 y (log.f64 z)) y)) 1/3) (+.f64 (.f64 2/9 (.f64 (pow.f64 y 3) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 y (log.f64 z)) y) 2)) 1/3))) (.f64 -1/27 (.f64 (pow.f64 y 3) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 y (log.f64 z)) y) 2)) 1/3)))))) (.f64 2/27 (/.f64 (pow.f64 y 3) (+.f64 (.f64 y (log.f64 z)) y)))) (pow.f64 z 3)))))
(fma.f64 (.f64 (.f64 (.f64 y y) (.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 y (log.f64 z) y) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 y (log.f64 z) y) 4)) 1/18))) -1/9) (.f64 z z) (+.f64 (cbrt.f64 (pow.f64 (fma.f64 y (log.f64 z) y) 2)) (fma.f64 -2/3 (.f64 (.f64 y z) (.f64 (pow.f64 (fma.f64 y (log.f64 z) y) 1/18) (pow.f64 (fma.f64 y (log.f64 z) y) 1/18))) (.f64 (pow.f64 z 3) (fma.f64 -2/3 (.f64 (.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 y (log.f64 z) y) 2))) (pow.f64 y 3)) 5/27) (cbrt.f64 (/.f64 1 (fma.f64 y (log.f64 z) y)))) (*.f64 2/27 (/.f64 (pow.f64 y 3) (fma.f64 y (log.f64 z) y))))))))
(+.f64 (fma.f64 (pow.f64 z 3) (fma.f64 -2/3 (.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 y (log.f64 z) y) 2))) (pow.f64 y 3)) (.f64 5/27 (cbrt.f64 (/.f64 1 (fma.f64 y (log.f64 z) y))))) (.f64 2/27 (/.f64 (pow.f64 y 3) (fma.f64 y (log.f64 z) y)))) (.f64 y (.f64 (.f64 (.f64 z (pow.f64 (fma.f64 y (log.f64 z) y) 1/18)) (pow.f64 (fma.f64 y (log.f64 z) y) 1/18)) -2/3))) (fma.f64 (.f64 z z) (.f64 -1/9 (.f64 y (.f64 y (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 y (log.f64 z) y) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 y (log.f64 z) y) 4)) 1/18))))) (cbrt.f64 (pow.f64 (fma.f64 y (log.f64 z) y) 2))))
(fma.f64 z (.f64 z (.f64 (.f64 y y) (.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 y (log.f64 z) y) 4)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 y (log.f64 z) y) 4)) 1/18) -1/9)))) (fma.f64 (pow.f64 z 3) (fma.f64 (cbrt.f64 (/.f64 1 (fma.f64 y (log.f64 z) y))) (.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 y (log.f64 z) y) 2))) (pow.f64 y 3)) -10/81) (/.f64 (.f64 (pow.f64 y 3) 2/27) (fma.f64 y (log.f64 z) y))) (fma.f64 y (.f64 z (.f64 -2/3 (*.f64 (pow.f64 (fma.f64 y (log.f64 z) y) 1/18) (pow.f64 (fma.f64 y (log.f64 z) y) 1/18)))) (cbrt.f64 (pow.f64 (fma.f64 y (log.f64 z) y) 2)))))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(*.f64 y (+.f64 1 (-.f64 (log.f64 z) z)))
(*.f64 y (+.f64 (log.f64 z) (-.f64 1 z)))
(fma.f64 (-.f64 z (log.f64 z)) (neg.f64 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)))
(fma.f64 (-.f64 z (log.f64 z)) (neg.f64 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)))
(fma.f64 (-.f64 z (log.f64 z)) (neg.f64 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)))
(fma.f64 (-.f64 z (log.f64 z)) (neg.f64 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)))
(fma.f64 (-.f64 z (log.f64 z)) (neg.f64 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)))
(fma.f64 (-.f64 z (log.f64 z)) (neg.f64 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)))
(fma.f64 (-.f64 z (log.f64 z)) (neg.f64 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)))
(fma.f64 (-.f64 z (log.f64 z)) (neg.f64 y) y)
(.f64 -1 (.f64 y (-.f64 (*.f64 -1 (-.f64 (log.f64 z) z)) 1)))
(*.f64 y (+.f64 1 (-.f64 (log.f64 z) z)))
(*.f64 y (+.f64 (log.f64 z) (-.f64 1 z)))
(fma.f64 (-.f64 z (log.f64 z)) (neg.f64 y) y)
(.f64 -1 (.f64 y (-.f64 (*.f64 -1 (-.f64 (log.f64 z) z)) 1)))
(*.f64 y (+.f64 1 (-.f64 (log.f64 z) z)))
(*.f64 y (+.f64 (log.f64 z) (-.f64 1 z)))
(fma.f64 (-.f64 z (log.f64 z)) (neg.f64 y) y)
(.f64 -1 (.f64 y (-.f64 (*.f64 -1 (-.f64 (log.f64 z) z)) 1)))
(*.f64 y (+.f64 1 (-.f64 (log.f64 z) z)))
(*.f64 y (+.f64 (log.f64 z) (-.f64 1 z)))
(fma.f64 (-.f64 z (log.f64 z)) (neg.f64 y) y)
(.f64 -1 (.f64 y (-.f64 (*.f64 -1 (-.f64 (log.f64 z) z)) 1)))
(*.f64 y (+.f64 1 (-.f64 (log.f64 z) z)))
(*.f64 y (+.f64 (log.f64 z) (-.f64 1 z)))
(fma.f64 (-.f64 z (log.f64 z)) (neg.f64 y) y)
(+.f64 (*.f64 y (log.f64 z)) y)
(fma.f64 y (log.f64 z) y)
(+.f64 (.f64 y (log.f64 z)) (+.f64 (.f64 -1 (*.f64 y z)) y))
(*.f64 y (+.f64 1 (-.f64 (log.f64 z) z)))
(*.f64 y (+.f64 (log.f64 z) (-.f64 1 z)))
(fma.f64 (-.f64 z (log.f64 z)) (neg.f64 y) y)
(+.f64 (.f64 y (log.f64 z)) (+.f64 (.f64 -1 (*.f64 y z)) y))
(*.f64 y (+.f64 1 (-.f64 (log.f64 z) z)))
(*.f64 y (+.f64 (log.f64 z) (-.f64 1 z)))
(fma.f64 (-.f64 z (log.f64 z)) (neg.f64 y) y)
(+.f64 (.f64 y (log.f64 z)) (+.f64 (.f64 -1 (*.f64 y z)) y))
(*.f64 y (+.f64 1 (-.f64 (log.f64 z) z)))
(*.f64 y (+.f64 (log.f64 z) (-.f64 1 z)))
(fma.f64 (-.f64 z (log.f64 z)) (neg.f64 y) y)
(.f64 -1 (.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 z (neg.f64 y))
(*.f64 y (neg.f64 z))
(+.f64 (.f64 -1 (.f64 y (log.f64 (/.f64 1 z)))) (+.f64 y (.f64 -1 (.f64 y z))))
(*.f64 y (+.f64 1 (-.f64 (log.f64 z) z)))
(*.f64 y (+.f64 (log.f64 z) (-.f64 1 z)))
(fma.f64 (-.f64 z (log.f64 z)) (neg.f64 y) y)
(+.f64 (.f64 -1 (.f64 y (log.f64 (/.f64 1 z)))) (+.f64 y (.f64 -1 (.f64 y z))))
(*.f64 y (+.f64 1 (-.f64 (log.f64 z) z)))
(*.f64 y (+.f64 (log.f64 z) (-.f64 1 z)))
(fma.f64 (-.f64 z (log.f64 z)) (neg.f64 y) y)
(+.f64 (.f64 -1 (.f64 y (log.f64 (/.f64 1 z)))) (+.f64 y (.f64 -1 (.f64 y z))))
(*.f64 y (+.f64 1 (-.f64 (log.f64 z) z)))
(*.f64 y (+.f64 (log.f64 z) (-.f64 1 z)))
(fma.f64 (-.f64 z (log.f64 z)) (neg.f64 y) y)
(.f64 -1 (.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 z (neg.f64 y))
(*.f64 y (neg.f64 z))
(+.f64 y (+.f64 (.f64 -1 (.f64 y z)) (.f64 y (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 z)))))))
(+.f64 (fma.f64 -1 (.f64 y z) y) (.f64 y (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 z))))))
(+.f64 y (-.f64 (.f64 y (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z)))) (.f64 y z)))
(+.f64 y (*.f64 y (-.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z))) z)))
(+.f64 y (+.f64 (.f64 -1 (.f64 y z)) (.f64 y (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 z)))))))
(+.f64 (fma.f64 -1 (.f64 y z) y) (.f64 y (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 z))))))
(+.f64 y (-.f64 (.f64 y (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z)))) (.f64 y z)))
(+.f64 y (*.f64 y (-.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z))) z)))
(+.f64 y (+.f64 (.f64 -1 (.f64 y z)) (.f64 y (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 z)))))))
(+.f64 (fma.f64 -1 (.f64 y z) y) (.f64 y (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 z))))))
(+.f64 y (-.f64 (.f64 y (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z)))) (.f64 y z)))
(+.f64 y (*.f64 y (-.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z))) z)))

prune203.0ms (6.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	194	0	194
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	194	5	199

Error

0.0b

Counts

199 → 5

Alt Table

Status	Error	Program
✓	0.1b	(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y))
▶	16.8b	(fma.f64 x 1/2 (+.f64 (*.f64 y (log.f64 z)) y))
	26.8b	(fma.f64 x 1/2 (cbrt.f64 (pow.f64 (fma.f64 y (-.f64 (log.f64 z) z) y) 3)))
	29.2b	(fma.f64 x 1/2 (pow.f64 (sqrt.f64 (fma.f64 y (-.f64 (log.f64 z) z) y)) 2))
✓	0.7b	(fma.f64 x 1/2 (*.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)))

Compiler

Compiled 5956 to 2139 computations (64.1% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

series39.0ms (1.2%)

Counts

3 → 64

Calls

21 calls:

Time	Variable		Point	Expression
14.0ms	z	@	-inf	(*.f64 y (log.f64 z))
11.0ms	z	@	0	(*.f64 y (log.f64 z))
6.0ms	z	@	inf	(*.f64 y (log.f64 z))
1.0ms	y	@	0	(*.f64 y (log.f64 z))
1.0ms	y	@	inf	(*.f64 y (log.f64 z))

rewrite48.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

888×	`log1p-expm1-u_binary64`
888×	`expm1-log1p-u_binary64`
97×	`add-sqr-sqrt_binary64`
94×	`*-un-lft-identity_binary64`
94×	`pow1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	24
1	188	24
2	2397	24

Stop Event

1×	node limit

Counts

3 → 78

Calls

Call 1

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

Outputs

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

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

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

simplify52.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

563×	`fma-def_binary64`
464×	`unsub-neg_binary64`
287×	`distribute-neg-in_binary64`
254×	`fma-neg_binary64`
203×	`sub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	35	629
1	91	583
2	215	551
3	444	551
4	981	551
5	2778	551
6	4065	551

Stop Event

1×	node limit

Counts

142 → 93

Calls

Call 1

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

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

prune74.0ms (2.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	93	5	98

Error

0.0b

Counts

98 → 5

Alt Table

Status	Error	Program
✓	0.1b	(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y))
✓	16.8b	(fma.f64 x 1/2 (+.f64 (*.f64 y (log.f64 z)) y))
	26.8b	(fma.f64 x 1/2 (cbrt.f64 (pow.f64 (fma.f64 y (-.f64 (log.f64 z) z) y) 3)))
	29.2b	(fma.f64 x 1/2 (pow.f64 (sqrt.f64 (fma.f64 y (-.f64 (log.f64 z) z) y)) 2))
✓	0.7b	(fma.f64 x 1/2 (*.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)))

Compiler

Compiled 1366 to 626 computations (54.2% saved)

regimes199.0ms (6.2%)

Accuracy

Total -48.4b remaining (-52598%)

Threshold costs -48.4b (-52598%)

Counts

33 → 1

Compiler

Compiled 440 to 195 computations (55.7% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`
2×	`sub-neg_binary64`
1×	`*-commutative_binary64`
1×	`neg-sub0_binary64`
1×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	14
1	11	14
2	16	14
3	18	14
4	19	14

Stop Event

1×

saturated

Calls

Call 1

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

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

end61.0ms (1.9%)

Stop Event

1×

fuel

Compiler

Compiled 93 to 40 computations (57% saved)

Details

analyze498.0ms (15.5%)

sample1.2s (37.5%)

preprocess42.0ms (1.3%)

simplify39.0ms (1.2%)

prune3.0ms (0.1%)

localize8.0ms (0.2%)

series51.0ms (1.6%)

rewrite60.0ms (1.9%)

simplify46.0ms (1.4%)

prune183.0ms (5.7%)

localize9.0ms (0.3%)

series4.0ms (0.1%)

rewrite40.0ms (1.2%)

simplify42.0ms (1.3%)

prune158.0ms (4.9%)

localize13.0ms (0.4%)

series11.0ms (0.4%)

rewrite51.0ms (1.6%)

simplify59.0ms (1.9%)

prune203.0ms (6.3%)

localize8.0ms (0.2%)

series39.0ms (1.2%)

rewrite48.0ms (1.5%)

simplify52.0ms (1.6%)

prune74.0ms (2.3%)

regimes199.0ms (6.2%)

simplify2.0ms (0.1%)

end61.0ms (1.9%)

Profiling