Metrics for Jmat.Real.lambertw, estimator

analyze2.0ms (0.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	50%	0%	0%	50%	0%	2
50%	25%	25%	0%	0%	50%	0%	3
66.7%	25%	12.5%	0%	0%	62.5%	0%	4
80%	25%	6.2%	0%	0%	68.7%	0%	5
88.9%	25%	3.1%	0%	0%	71.8%	0%	6
94.1%	25%	1.6%	0%	0%	73.4%	0%	7
97%	25%	0.8%	0%	0%	74.2%	0%	8
98.5%	25%	0.4%	0%	0%	74.6%	0%	9
99.2%	25%	0.2%	0%	0%	74.8%	0%	10
99.6%	25%	0.1%	0%	0%	74.9%	0%	11
99.8%	25%	0%	0%	0%	74.9%	0%	12

Compiler

Compiled 8 to 5 computations (37.5% saved)

sample1.1s (46.2%)

Results

1.0s	8256×	body	256	valid
1.0ms	10×	body	256	invalid

Bogosity

preprocess271.0ms (11.9%)

Algorithm

1×	egg-herbie

Rules

2960×	`fma-def`
1870×	`fma-neg`
1716×	`associate-+r+`
1460×	`distribute-rgt-in`
1330×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	65
1	19	65
2	29	65
3	53	65
4	91	65
5	155	65
6	281	65
7	469	65
8	737	65
9	1461	65
10	2635	65
11	4288	65
12	4578	65
13	4603	65
14	4619	65
15	4619	65
16	5547	65
17	5922	65
18	6528	65
19	7209	65
20	7389	65
21	7485	65
22	7527	65
23	7555	65
24	7595	65
25	7647	65

Stop Event

1×	node limit

Calls

Call 1

Inputs
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(-.f64 (log.f64 (neg.f64 x)) (log.f64 (log.f64 (neg.f64 x))))

Outputs
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(-.f64 (log.f64 (neg.f64 x)) (log.f64 (log.f64 (neg.f64 x))))

Compiler

Compiled 7 to 4 computations (42.9% saved)

eval0.0ms (0%)

Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
▶	99.7%	(-.f64 (log.f64 x) (log.f64 (log.f64 x)))

Compiler

Compiled 14 to 8 computations (42.9% saved)

localize33.0ms (1.4%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	100.0%	(log.f64 (log.f64 x))
✓	99.7%	(-.f64 (log.f64 x) (log.f64 (log.f64 x)))

Compiler

Compiled 14 to 5 computations (64.3% saved)

series149.0ms (6.6%)

Counts

2 → 16

Calls

6 calls:

Time	Variable		Point	Expression
82.0ms	x	@	-inf	(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
45.0ms	x	@	0	(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
22.0ms	x	@	inf	(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
0.0ms	x	@	-inf	(log.f64 (log.f64 x))
0.0ms	x	@	0	(log.f64 (log.f64 x))

rewrite63.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1550×	`pow1`
1434×	`add-exp-log`
1434×	`log1p-expm1-u`
1434×	`expm1-log1p-u`
1396×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	24
1	143	24
2	1921	24

Stop Event

1×	node limit

Counts

2 → 53

Calls

Call 1

Inputs
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(log.f64 (log.f64 x))

Outputs
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(+.f64 (log.f64 x) (*.f64 (neg.f64 (log.f64 (log.f64 x))) 1))
(+.f64 (log.f64 (/.f64 x (log.f64 x))) (fma.f64 (neg.f64 (log.f64 (log.f64 x))) 1 (log.f64 (log.f64 x))))
(+.f64 (log.f64 (/.f64 x (log.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (log.f64 x)))) (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) 2) (log.f64 (log.f64 x))))
(+.f64 (log.f64 (/.f64 x (log.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 (log.f64 x)))) (sqrt.f64 (log.f64 (log.f64 x))) (log.f64 (log.f64 x))))
(+.f64 (neg.f64 (log.f64 (log.f64 x))) (log.f64 x))
(*.f64 (log.f64 (/.f64 x (log.f64 x))) 1)
(*.f64 1 (log.f64 (/.f64 x (log.f64 x))))
(*.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2) (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))) (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))))
(.f64 (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (log.f64 x)) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 x) 2) (.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 x (log.f64 x)))))))
(.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 (log.f64 x)) 2)) (/.f64 1 (log.f64 (.f64 x (log.f64 x)))))
(*.f64 (+.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 (log.f64 x)))) (-.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 (log.f64 x)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 x) 2) (.f64 (log.f64 (log.f64 x)) (log.f64 (.f64 x (log.f64 x))))) (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (log.f64 x)) 3))))
(/.f64 1 (/.f64 (log.f64 (*.f64 x (log.f64 x))) (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 (log.f64 x)) 2))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (log.f64 x)) 3)) (+.f64 (pow.f64 (log.f64 x) 2) (.f64 (log.f64 (log.f64 x)) (log.f64 (.f64 x (log.f64 x))))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 (log.f64 x)) 2)) (log.f64 (*.f64 x (log.f64 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (log.f64 x)) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 x) 2) (.f64 (log.f64 (log.f64 x)) (log.f64 (.f64 x (log.f64 x)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 (log.f64 x)) 2))) (neg.f64 (log.f64 (*.f64 x (log.f64 x)))))
(/.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (neg.f64 (log.f64 (log.f64 x))) 3)) (+.f64 (pow.f64 (log.f64 x) 2) (-.f64 (.f64 (neg.f64 (log.f64 (log.f64 x))) (neg.f64 (log.f64 (log.f64 x)))) (.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) 2) (*.f64 (neg.f64 (log.f64 (log.f64 x))) (neg.f64 (log.f64 (log.f64 x))))) (-.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))))
(pow.f64 (log.f64 (/.f64 x (log.f64 x))) 1)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 2))
(log.f64 (/.f64 x (log.f64 x)))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 x (log.f64 x)))))
(exp.f64 (log.f64 (log.f64 (/.f64 x (log.f64 x)))))
(log1p.f64 (-.f64 (/.f64 x (log.f64 x)) 1))
(fma.f64 1 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (log.f64 x)) (neg.f64 (log.f64 (log.f64 x))))
(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (neg.f64 (log.f64 (log.f64 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (log.f64 (cbrt.f64 (log.f64 x))))
(+.f64 0 (log.f64 (log.f64 x)))
(+.f64 (log.f64 (sqrt.f64 (log.f64 x))) (log.f64 (sqrt.f64 (log.f64 x))))
(-.f64 (+.f64 1 (log.f64 (log.f64 x))) 1)
(*.f64 (log.f64 (log.f64 x)) 1)
(*.f64 1 (log.f64 (log.f64 x)))
(*.f64 (cbrt.f64 (log.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) 2) (cbrt.f64 (log.f64 (log.f64 x))))
(*.f64 (sqrt.f64 (log.f64 (log.f64 x))) (sqrt.f64 (log.f64 (log.f64 x))))
(pow.f64 (log.f64 (log.f64 x)) 1)
(pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) 3)
(pow.f64 (pow.f64 (log.f64 (log.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (log.f64 x))) 2)
(sqrt.f64 (pow.f64 (log.f64 (log.f64 x)) 2))
(cbrt.f64 (pow.f64 (log.f64 (log.f64 x)) 3))
(expm1.f64 (log1p.f64 (log.f64 (log.f64 x))))
(exp.f64 (log.f64 (log.f64 (log.f64 x))))
(log1p.f64 (-.f64 (log.f64 x) 1))

simplify80.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

1670×	`fma-def`
1224×	`hypot-def`
766×	`log-prod`
628×	`unswap-sqr`
520×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	135	2445
1	311	1589
2	1216	1589
3	7363	1589

Stop Event

1×	node limit

Counts

69 → 71

Calls

Call 1

Inputs
(-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (.f64 -1 (log.f64 (/.f64 1 x)))))
(-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (.f64 -1 (log.f64 (/.f64 1 x)))))
(-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (.f64 -1 (log.f64 (/.f64 1 x)))))
(-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (.f64 -1 (log.f64 (/.f64 1 x)))))
(-.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))) (log.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x))))))
(-.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))) (log.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x))))))
(-.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))) (log.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x))))))
(-.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))) (log.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x))))))
(log.f64 (*.f64 -1 (log.f64 (/.f64 1 x))))
(log.f64 (*.f64 -1 (log.f64 (/.f64 1 x))))
(log.f64 (*.f64 -1 (log.f64 (/.f64 1 x))))
(log.f64 (*.f64 -1 (log.f64 (/.f64 1 x))))
(log.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(log.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(log.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(log.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(+.f64 (log.f64 x) (*.f64 (neg.f64 (log.f64 (log.f64 x))) 1))
(+.f64 (log.f64 (/.f64 x (log.f64 x))) (fma.f64 (neg.f64 (log.f64 (log.f64 x))) 1 (log.f64 (log.f64 x))))
(+.f64 (log.f64 (/.f64 x (log.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (log.f64 x)))) (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) 2) (log.f64 (log.f64 x))))
(+.f64 (log.f64 (/.f64 x (log.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 (log.f64 x)))) (sqrt.f64 (log.f64 (log.f64 x))) (log.f64 (log.f64 x))))
(+.f64 (neg.f64 (log.f64 (log.f64 x))) (log.f64 x))
(*.f64 (log.f64 (/.f64 x (log.f64 x))) 1)
(*.f64 1 (log.f64 (/.f64 x (log.f64 x))))
(*.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2) (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))) (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))))
(.f64 (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (log.f64 x)) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 x) 2) (.f64 (log.f64 (log.f64 x)) (log.f64 (*.f64 x (log.f64 x)))))))
(.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 (log.f64 x)) 2)) (/.f64 1 (log.f64 (.f64 x (log.f64 x)))))
(*.f64 (+.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 (log.f64 x)))) (-.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 (log.f64 x)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 x) 2) (.f64 (log.f64 (log.f64 x)) (log.f64 (.f64 x (log.f64 x))))) (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (log.f64 x)) 3))))
(/.f64 1 (/.f64 (log.f64 (*.f64 x (log.f64 x))) (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 (log.f64 x)) 2))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (log.f64 x)) 3)) (+.f64 (pow.f64 (log.f64 x) 2) (.f64 (log.f64 (log.f64 x)) (log.f64 (.f64 x (log.f64 x))))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 (log.f64 x)) 2)) (log.f64 (*.f64 x (log.f64 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (log.f64 x)) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 x) 2) (.f64 (log.f64 (log.f64 x)) (log.f64 (.f64 x (log.f64 x)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 (log.f64 x)) 2))) (neg.f64 (log.f64 (*.f64 x (log.f64 x)))))
(/.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (neg.f64 (log.f64 (log.f64 x))) 3)) (+.f64 (pow.f64 (log.f64 x) 2) (-.f64 (.f64 (neg.f64 (log.f64 (log.f64 x))) (neg.f64 (log.f64 (log.f64 x)))) (.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) 2) (*.f64 (neg.f64 (log.f64 (log.f64 x))) (neg.f64 (log.f64 (log.f64 x))))) (-.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x)))))
(pow.f64 (log.f64 (/.f64 x (log.f64 x))) 1)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 2))
(log.f64 (/.f64 x (log.f64 x)))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 x (log.f64 x)))))
(exp.f64 (log.f64 (log.f64 (/.f64 x (log.f64 x)))))
(log1p.f64 (-.f64 (/.f64 x (log.f64 x)) 1))
(fma.f64 1 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (log.f64 x)) (neg.f64 (log.f64 (log.f64 x))))
(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (neg.f64 (log.f64 (log.f64 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (log.f64 (cbrt.f64 (log.f64 x))))
(+.f64 0 (log.f64 (log.f64 x)))
(+.f64 (log.f64 (sqrt.f64 (log.f64 x))) (log.f64 (sqrt.f64 (log.f64 x))))
(-.f64 (+.f64 1 (log.f64 (log.f64 x))) 1)
(*.f64 (log.f64 (log.f64 x)) 1)
(*.f64 1 (log.f64 (log.f64 x)))
(*.f64 (cbrt.f64 (log.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) 2) (cbrt.f64 (log.f64 (log.f64 x))))
(*.f64 (sqrt.f64 (log.f64 (log.f64 x))) (sqrt.f64 (log.f64 (log.f64 x))))
(pow.f64 (log.f64 (log.f64 x)) 1)
(pow.f64 (cbrt.f64 (log.f64 (log.f64 x))) 3)
(pow.f64 (pow.f64 (log.f64 (log.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (log.f64 x))) 2)
(sqrt.f64 (pow.f64 (log.f64 (log.f64 x)) 2))
(cbrt.f64 (pow.f64 (log.f64 (log.f64 x)) 3))
(expm1.f64 (log1p.f64 (log.f64 (log.f64 x))))
(exp.f64 (log.f64 (log.f64 (log.f64 x))))
(log1p.f64 (-.f64 (log.f64 x) 1))

Outputs
(-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (.f64 -1 (log.f64 (/.f64 1 x)))))
(-.f64 (neg.f64 (neg.f64 (log.f64 x))) (log.f64 (neg.f64 (neg.f64 (log.f64 x)))))
(log.f64 (/.f64 x (log.f64 x)))
(-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (.f64 -1 (log.f64 (/.f64 1 x)))))
(-.f64 (neg.f64 (neg.f64 (log.f64 x))) (log.f64 (neg.f64 (neg.f64 (log.f64 x)))))
(log.f64 (/.f64 x (log.f64 x)))
(-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (.f64 -1 (log.f64 (/.f64 1 x)))))
(-.f64 (neg.f64 (neg.f64 (log.f64 x))) (log.f64 (neg.f64 (neg.f64 (log.f64 x)))))
(log.f64 (/.f64 x (log.f64 x)))
(-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (.f64 -1 (log.f64 (/.f64 1 x)))))
(-.f64 (neg.f64 (neg.f64 (log.f64 x))) (log.f64 (neg.f64 (neg.f64 (log.f64 x)))))
(log.f64 (/.f64 x (log.f64 x)))
(-.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))) (log.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x))))))
(-.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))) (log.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))))
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eval14.0ms (0.6%)

Compiler: Compiled 904 to 376 computations (58.4% saved)

prune10.0ms (0.5%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	69	2	71
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	70	2	72

Accuracy

100.0%

Counts

72 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(log1p.f64 (-.f64 (/.f64 x (log.f64 x)) 1))
▶	100.0%	(log.f64 (/.f64 x (log.f64 x)))
▶	100.0%	(log1p.f64 (-.f64 (/.f64 x (log.f64 x)) 1))
▶	100.0%	(log.f64 (/.f64 x (log.f64 x)))

Compiler

Compiled 28 to 20 computations (28.6% saved)

localize56.0ms (2.4%)

Localize:

Found 3 expressions with local error:

New	Accuracy	Program
✓	99.6%	(/.f64 x (log.f64 x))
✓	100.0%	(log.f64 (/.f64 x (log.f64 x)))
✓	99.6%	(/.f64 x (log.f64 x))

Compiler

Compiled 35 to 11 computations (68.6% saved)

series64.0ms (2.8%)

Counts

3 → 28

Calls

9 calls:

Time	Variable		Point	Expression
18.0ms	x	@	0	(log.f64 (/.f64 x (log.f64 x)))
17.0ms	x	@	-inf	(log.f64 (/.f64 x (log.f64 x)))
16.0ms	x	@	inf	(log.f64 (/.f64 x (log.f64 x)))
7.0ms	x	@	inf	(/.f64 x (log.f64 x))
4.0ms	x	@	-inf	(/.f64 x (log.f64 x))

rewrite80.0ms (3.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1380×	`pow1`
1266×	`add-exp-log`
1266×	`log1p-expm1-u`
1266×	`expm1-log1p-u`
1230×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	37
1	136	37
2	1717	37

Stop Event

1×	node limit

Counts

3 → 96

Calls

Call 1

Inputs
(/.f64 x (log.f64 x))
(log.f64 (/.f64 x (log.f64 x)))
(/.f64 x (log.f64 x))

Outputs
(+.f64 1 (-.f64 (/.f64 x (log.f64 x)) 1))
(-.f64 (+.f64 1 (/.f64 x (log.f64 x))) 1)
(*.f64 x (/.f64 1 (log.f64 x)))
(*.f64 (/.f64 x (log.f64 x)) 1)
(*.f64 1 (/.f64 x (log.f64 x)))
(*.f64 (cbrt.f64 (/.f64 x (log.f64 x))) (pow.f64 (cbrt.f64 (/.f64 x (log.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (log.f64 x))) 2) (cbrt.f64 (/.f64 x (log.f64 x))))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (/.f64 1 (log.f64 x))))
(*.f64 (sqrt.f64 (/.f64 x (log.f64 x))) (sqrt.f64 (/.f64 x (log.f64 x))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 1 (log.f64 x))))
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (log.f64 x))))
(*.f64 (/.f64 1 (log.f64 x)) x)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (/.f64 x (cbrt.f64 (log.f64 x))))
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 x))) (/.f64 x (sqrt.f64 (log.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (log.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (/.f64 x (log.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (log.f64 x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (log.f64 x))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (log.f64 x)))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (log.f64 x))))
(pow.f64 (/.f64 x (log.f64 x)) 1)
(pow.f64 (cbrt.f64 (/.f64 x (log.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 x (log.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 x (log.f64 x))) 2)
(pow.f64 (/.f64 (log.f64 x) x) -1)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))) (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2)) (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))))
(pow.f64 (exp.f64 1) (log.f64 (/.f64 x (log.f64 x))))
(neg.f64 (/.f64 x (neg.f64 (log.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 x (log.f64 x)) 2))
(log.f64 (exp.f64 (/.f64 x (log.f64 x))))
(cbrt.f64 (pow.f64 (/.f64 x (log.f64 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 x (log.f64 x))))
(exp.f64 (log.f64 (/.f64 x (log.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 x (log.f64 x))))
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 x (log.f64 x)))) (log.f64 (sqrt.f64 (/.f64 x (log.f64 x)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 x (log.f64 x))) 2)) (log.f64 (cbrt.f64 (/.f64 x (log.f64 x)))))
(+.f64 0 (log.f64 (/.f64 x (log.f64 x))))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 (log.f64 x))))
(-.f64 0 (log.f64 (/.f64 (log.f64 x) x)))
(-.f64 (+.f64 1 (log.f64 (/.f64 x (log.f64 x)))) 1)
(*.f64 (log.f64 (/.f64 x (log.f64 x))) 1)
(*.f64 1 (log.f64 (/.f64 x (log.f64 x))))
(*.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2) (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))) (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (log.f64 x)) 3)) (+.f64 (pow.f64 (log.f64 x) 2) (+.f64 (.f64 (log.f64 (log.f64 x)) (log.f64 (log.f64 x))) (.f64 (log.f64 x) (log.f64 (log.f64 x))))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 (log.f64 x)) (log.f64 (log.f64 x)))) (+.f64 (log.f64 x) (log.f64 (log.f64 x))))
(pow.f64 (log.f64 (/.f64 x (log.f64 x))) 1)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2)
(neg.f64 (log.f64 (/.f64 (log.f64 x) x)))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 x (log.f64 x)))))
(exp.f64 (log.f64 (log.f64 (/.f64 x (log.f64 x)))))
(log1p.f64 (-.f64 (/.f64 x (log.f64 x)) 1))
(fma.f64 1 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (log.f64 x)) (neg.f64 (log.f64 (log.f64 x))))
(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (neg.f64 (log.f64 (log.f64 x))))
(+.f64 1 (-.f64 (/.f64 x (log.f64 x)) 1))
(-.f64 (+.f64 1 (/.f64 x (log.f64 x))) 1)
(*.f64 x (/.f64 1 (log.f64 x)))
(*.f64 (/.f64 x (log.f64 x)) 1)
(*.f64 1 (/.f64 x (log.f64 x)))
(*.f64 (cbrt.f64 (/.f64 x (log.f64 x))) (pow.f64 (cbrt.f64 (/.f64 x (log.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (log.f64 x))) 2) (cbrt.f64 (/.f64 x (log.f64 x))))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (/.f64 1 (log.f64 x))))
(*.f64 (sqrt.f64 (/.f64 x (log.f64 x))) (sqrt.f64 (/.f64 x (log.f64 x))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 1 (log.f64 x))))
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (log.f64 x))))
(*.f64 (/.f64 1 (log.f64 x)) x)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (/.f64 x (cbrt.f64 (log.f64 x))))
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 x))) (/.f64 x (sqrt.f64 (log.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (log.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (/.f64 x (log.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (log.f64 x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (log.f64 x))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (log.f64 x)))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (log.f64 x))))
(pow.f64 (/.f64 x (log.f64 x)) 1)
(pow.f64 (cbrt.f64 (/.f64 x (log.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 x (log.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 x (log.f64 x))) 2)
(pow.f64 (/.f64 (log.f64 x) x) -1)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))) (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2)) (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))))
(pow.f64 (exp.f64 1) (log.f64 (/.f64 x (log.f64 x))))
(neg.f64 (/.f64 x (neg.f64 (log.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 x (log.f64 x)) 2))
(log.f64 (exp.f64 (/.f64 x (log.f64 x))))
(cbrt.f64 (pow.f64 (/.f64 x (log.f64 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 x (log.f64 x))))
(exp.f64 (log.f64 (/.f64 x (log.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 x (log.f64 x))))

simplify82.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

1552×	`log-prod`
1302×	`fma-neg`
964×	`fma-def`
890×	`unswap-sqr`
534×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	161	2634
1	363	1974
2	1178	1974
3	6868	1974

Stop Event

1×	node limit

Counts

124 → 77

Calls

Call 1

Inputs
(*.f64 -1 (/.f64 x (log.f64 (/.f64 1 x))))
(*.f64 -1 (/.f64 x (log.f64 (/.f64 1 x))))
(*.f64 -1 (/.f64 x (log.f64 (/.f64 1 x))))
(*.f64 -1 (/.f64 x (log.f64 (/.f64 1 x))))
(/.f64 x (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(/.f64 x (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(/.f64 x (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(/.f64 x (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(+.f64 (log.f64 x) (log.f64 (/.f64 1 (log.f64 x))))
(+.f64 (log.f64 x) (log.f64 (/.f64 1 (log.f64 x))))
(+.f64 (log.f64 x) (log.f64 (/.f64 1 (log.f64 x))))
(+.f64 (log.f64 x) (log.f64 (/.f64 1 (log.f64 x))))
(+.f64 (log.f64 (/.f64 -1 (log.f64 (/.f64 1 x)))) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 (/.f64 -1 (log.f64 (/.f64 1 x)))) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 (/.f64 -1 (log.f64 (/.f64 1 x)))) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 (/.f64 -1 (log.f64 (/.f64 1 x)))) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 (/.f64 -1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))))) (.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 (/.f64 -1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))))) (.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 (/.f64 -1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))))) (.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 (/.f64 -1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))))) (.f64 -1 (log.f64 (/.f64 -1 x))))
(*.f64 -1 (/.f64 x (log.f64 (/.f64 1 x))))
(*.f64 -1 (/.f64 x (log.f64 (/.f64 1 x))))
(*.f64 -1 (/.f64 x (log.f64 (/.f64 1 x))))
(*.f64 -1 (/.f64 x (log.f64 (/.f64 1 x))))
(/.f64 x (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(/.f64 x (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(/.f64 x (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(/.f64 x (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(+.f64 1 (-.f64 (/.f64 x (log.f64 x)) 1))
(-.f64 (+.f64 1 (/.f64 x (log.f64 x))) 1)
(*.f64 x (/.f64 1 (log.f64 x)))
(*.f64 (/.f64 x (log.f64 x)) 1)
(*.f64 1 (/.f64 x (log.f64 x)))
(*.f64 (cbrt.f64 (/.f64 x (log.f64 x))) (pow.f64 (cbrt.f64 (/.f64 x (log.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (log.f64 x))) 2) (cbrt.f64 (/.f64 x (log.f64 x))))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (/.f64 1 (log.f64 x))))
(*.f64 (sqrt.f64 (/.f64 x (log.f64 x))) (sqrt.f64 (/.f64 x (log.f64 x))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 1 (log.f64 x))))
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (log.f64 x))))
(*.f64 (/.f64 1 (log.f64 x)) x)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (/.f64 x (cbrt.f64 (log.f64 x))))
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 x))) (/.f64 x (sqrt.f64 (log.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (log.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (/.f64 x (log.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (log.f64 x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (log.f64 x))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (log.f64 x)))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (log.f64 x))))
(pow.f64 (/.f64 x (log.f64 x)) 1)
(pow.f64 (cbrt.f64 (/.f64 x (log.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 x (log.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 x (log.f64 x))) 2)
(pow.f64 (/.f64 (log.f64 x) x) -1)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))) (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2)) (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))))
(pow.f64 (exp.f64 1) (log.f64 (/.f64 x (log.f64 x))))
(neg.f64 (/.f64 x (neg.f64 (log.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 x (log.f64 x)) 2))
(log.f64 (exp.f64 (/.f64 x (log.f64 x))))
(cbrt.f64 (pow.f64 (/.f64 x (log.f64 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 x (log.f64 x))))
(exp.f64 (log.f64 (/.f64 x (log.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 x (log.f64 x))))
(+.f64 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 x (log.f64 x)))) (log.f64 (sqrt.f64 (/.f64 x (log.f64 x)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 x (log.f64 x))) 2)) (log.f64 (cbrt.f64 (/.f64 x (log.f64 x)))))
(+.f64 0 (log.f64 (/.f64 x (log.f64 x))))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
(-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 (log.f64 x))))
(-.f64 0 (log.f64 (/.f64 (log.f64 x) x)))
(-.f64 (+.f64 1 (log.f64 (/.f64 x (log.f64 x)))) 1)
(*.f64 (log.f64 (/.f64 x (log.f64 x))) 1)
(*.f64 1 (log.f64 (/.f64 x (log.f64 x))))
(*.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2) (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))) (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (log.f64 x)) 3)) (+.f64 (pow.f64 (log.f64 x) 2) (+.f64 (.f64 (log.f64 (log.f64 x)) (log.f64 (log.f64 x))) (.f64 (log.f64 x) (log.f64 (log.f64 x))))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 (log.f64 x)) (log.f64 (log.f64 x)))) (+.f64 (log.f64 x) (log.f64 (log.f64 x))))
(pow.f64 (log.f64 (/.f64 x (log.f64 x))) 1)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2)
(neg.f64 (log.f64 (/.f64 (log.f64 x) x)))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 x (log.f64 x)))))
(exp.f64 (log.f64 (log.f64 (/.f64 x (log.f64 x)))))
(log1p.f64 (-.f64 (/.f64 x (log.f64 x)) 1))
(fma.f64 1 (log.f64 x) (neg.f64 (log.f64 (log.f64 x))))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (log.f64 x)) (neg.f64 (log.f64 (log.f64 x))))
(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (neg.f64 (log.f64 (log.f64 x))))
(+.f64 1 (-.f64 (/.f64 x (log.f64 x)) 1))
(-.f64 (+.f64 1 (/.f64 x (log.f64 x))) 1)
(*.f64 x (/.f64 1 (log.f64 x)))
(*.f64 (/.f64 x (log.f64 x)) 1)
(*.f64 1 (/.f64 x (log.f64 x)))
(*.f64 (cbrt.f64 (/.f64 x (log.f64 x))) (pow.f64 (cbrt.f64 (/.f64 x (log.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (log.f64 x))) 2) (cbrt.f64 (/.f64 x (log.f64 x))))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (/.f64 1 (log.f64 x))))
(*.f64 (sqrt.f64 (/.f64 x (log.f64 x))) (sqrt.f64 (/.f64 x (log.f64 x))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 1 (log.f64 x))))
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (log.f64 x))))
(*.f64 (/.f64 1 (log.f64 x)) x)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (/.f64 x (cbrt.f64 (log.f64 x))))
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 x))) (/.f64 x (sqrt.f64 (log.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (log.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (/.f64 x (log.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (log.f64 x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (log.f64 x))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (log.f64 x)))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (log.f64 x))))
(pow.f64 (/.f64 x (log.f64 x)) 1)
(pow.f64 (cbrt.f64 (/.f64 x (log.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 x (log.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 x (log.f64 x))) 2)
(pow.f64 (/.f64 (log.f64 x) x) -1)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))) (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2)) (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))))
(pow.f64 (exp.f64 1) (log.f64 (/.f64 x (log.f64 x))))
(neg.f64 (/.f64 x (neg.f64 (log.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 x (log.f64 x)) 2))
(log.f64 (exp.f64 (/.f64 x (log.f64 x))))
(cbrt.f64 (pow.f64 (/.f64 x (log.f64 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 x (log.f64 x))))
(exp.f64 (log.f64 (/.f64 x (log.f64 x))))
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Outputs
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(*.f64 x (/.f64 1 (log.f64 x)))
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(/.f64 x (log.f64 x))
(*.f64 (/.f64 x (log.f64 x)) 1)
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(/.f64 x (log.f64 x))
(*.f64 1 (/.f64 x (log.f64 x)))
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(/.f64 x (log.f64 x))
(*.f64 (cbrt.f64 (/.f64 x (log.f64 x))) (pow.f64 (cbrt.f64 (/.f64 x (log.f64 x))) 2))
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(/.f64 x (log.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (log.f64 x))) 2) (cbrt.f64 (/.f64 x (log.f64 x))))
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(/.f64 x (log.f64 x))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (/.f64 1 (log.f64 x))))
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(/.f64 x (log.f64 x))
(*.f64 (sqrt.f64 (/.f64 x (log.f64 x))) (sqrt.f64 (/.f64 x (log.f64 x))))
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(/.f64 x (log.f64 x))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 1 (log.f64 x))))
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(/.f64 x (log.f64 x))
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (log.f64 x))))
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(/.f64 x (log.f64 x))
(*.f64 (/.f64 1 (log.f64 x)) x)
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(/.f64 x (log.f64 x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (/.f64 x (cbrt.f64 (log.f64 x))))
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(/.f64 x (log.f64 x))
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 x))) (/.f64 x (sqrt.f64 (log.f64 x))))
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(/.f64 x (log.f64 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (log.f64 x)))
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(/.f64 x (log.f64 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (/.f64 x (log.f64 x))))
(*.f64 (cbrt.f64 (/.f64 x (log.f64 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (log.f64 x)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (log.f64 x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (log.f64 x))))
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(/.f64 x (log.f64 x))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (log.f64 x)))
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(/.f64 x (log.f64 x))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (log.f64 x))))
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(/.f64 x (log.f64 x))
(pow.f64 (/.f64 x (log.f64 x)) 1)
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(/.f64 x (log.f64 x))
(pow.f64 (cbrt.f64 (/.f64 x (log.f64 x))) 3)
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(/.f64 x (log.f64 x))
(pow.f64 (pow.f64 (/.f64 x (log.f64 x)) 3) 1/3)
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(/.f64 x (log.f64 x))
(pow.f64 (sqrt.f64 (/.f64 x (log.f64 x))) 2)
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(/.f64 x (log.f64 x))
(pow.f64 (/.f64 (log.f64 x) x) -1)
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(/.f64 x (log.f64 x))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))) (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))))
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(/.f64 x (log.f64 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2)) (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))))
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(/.f64 x (log.f64 x))
(pow.f64 (exp.f64 1) (log.f64 (/.f64 x (log.f64 x))))
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(/.f64 x (log.f64 x))
(neg.f64 (/.f64 x (neg.f64 (log.f64 x))))
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(/.f64 x (log.f64 x))
(sqrt.f64 (pow.f64 (/.f64 x (log.f64 x)) 2))
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(/.f64 x (log.f64 x))
(log.f64 (exp.f64 (/.f64 x (log.f64 x))))
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(/.f64 x (log.f64 x))
(cbrt.f64 (pow.f64 (/.f64 x (log.f64 x)) 3))
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(/.f64 x (log.f64 x))
(expm1.f64 (log1p.f64 (/.f64 x (log.f64 x))))
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(/.f64 x (log.f64 x))
(exp.f64 (log.f64 (/.f64 x (log.f64 x))))
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(/.f64 x (log.f64 x))
(log1p.f64 (expm1.f64 (/.f64 x (log.f64 x))))
(/.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(/.f64 x (log.f64 x))

eval23.0ms (1%)

Compiler: Compiled 1337 to 614 computations (54.1% saved)

prune18.0ms (0.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	118	0	118
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	118	2	120

Accuracy

100.0%

Counts

120 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(log1p.f64 (-.f64 (/.f64 x (log.f64 x)) 1))
✓	100.0%	(log.f64 (/.f64 x (log.f64 x)))

Compiler

Compiled 33 to 19 computations (42.4% saved)

regimes11.0ms (0.5%)

Counts

3 → 1

Calls

Call 1

Inputs
(log.f64 (/.f64 x (log.f64 x)))
(log1p.f64 (-.f64 (/.f64 x (log.f64 x)) 1))
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))

Outputs
(log1p.f64 (-.f64 (/.f64 x (log.f64 x)) 1))

Calls

3 calls:

4.0ms	(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
4.0ms	(log.f64 x)
3.0ms	x

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(-.f64 (log.f64 x) (log.f64 (log.f64 x)))`
100.0%	1	`(log.f64 x)`

Compiler

Compiled 31 to 16 computations (48.4% saved)

regimes4.0ms (0.2%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(log.f64 (/.f64 x (log.f64 x)))

Outputs
(log.f64 (/.f64 x (log.f64 x)))

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
100.0%	1	`x`

Compiler

Compiled 8 to 5 computations (37.5% saved)

simplify5.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

4×	`unsub-neg`
4×	`sub-neg`
4×	`neg-mul-1`
4×	`+-commutative`
2×	`distribute-lft-neg-out`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	36
1	14	36
2	18	36
3	21	36
4	24	36
5	27	36

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(log1p.f64 (-.f64 (/.f64 x (log.f64 x)) 1))
(log.f64 (/.f64 x (log.f64 x)))

Outputs
(log1p.f64 (-.f64 (/.f64 x (log.f64 x)) 1))
(log1p.f64 (+.f64 (/.f64 x (log.f64 x)) -1))
(log.f64 (/.f64 x (log.f64 x)))

Compiler

Compiled 14 to 10 computations (28.6% saved)

soundness234.0ms (10.3%)

Rules

1670×	`fma-def`
1550×	`pow1`
1434×	`add-exp-log`
1434×	`log1p-expm1-u`
1434×	`expm1-log1p-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	24
1	143	24
2	1921	24
0	135	2445
1	311	1589
2	1216	1589
3	7363	1589

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 119 to 69 computations (42% saved)

end0.0ms (0%)

preprocess24.0ms (1.1%)

Compiler: Compiled 40 to 22 computations (45% saved)

analyze2.0ms (0.1%)

sample1.1s (46.2%)

preprocess271.0ms (11.9%)

eval0.0ms (0%)

prune1.0ms (0%)

localize33.0ms (1.4%)

series149.0ms (6.6%)

rewrite63.0ms (2.8%)

simplify80.0ms (3.5%)

eval14.0ms (0.6%)

prune10.0ms (0.5%)

localize56.0ms (2.4%)

series64.0ms (2.8%)

rewrite80.0ms (3.5%)

simplify82.0ms (3.6%)

eval23.0ms (1%)

prune18.0ms (0.8%)

regimes11.0ms (0.5%)

regimes4.0ms (0.2%)

simplify5.0ms (0.2%)

soundness234.0ms (10.3%)

end0.0ms (0%)

preprocess24.0ms (1.1%)

Profiling