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)

sample999.0ms (38.3%)

Results

988.0ms	8256×	body	256	valid
1.0ms	8×	body	256	invalid

Bogosity

preprocess266.0ms (10.2%)

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	46
1	19	46
2	29	46
3	53	46
4	91	46
5	155	46
6	281	46
7	469	46
8	737	46
9	1461	46
10	2635	46
11	4288	46
12	4578	46
13	4603	46
14	4619	46
15	4619	46
16	5547	46
17	5922	46
18	6528	46
19	7209	46
20	7389	46
21	7485	46
22	7527	46
23	7555	46
24	7595	46
25	7647	46

Stop Event

1×	node limit

Calls

Call 1

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

Compiler

Compiled 8 to 5 computations (37.5% saved)

simplify204.0ms (7.8%)

Algorithm

1×	egg-herbie

Rules

3002×	`fma-neg`
2116×	`fma-def`
1938×	`unsub-neg`
1212×	`associate-+r+`
716×	`associate-+l+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	9	19
2	14	19
3	22	19
4	31	19
5	48	19
6	86	19
7	127	19
8	206	19
9	399	19
10	840	19
11	2223	19
12	4435	19
13	4984	19
14	5127	19
15	5175	19
16	5185	19
17	5185	19
18	6297	19
19	6305	19
20	6357	19
21	6357	19
22	7493	19

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

Compiler: Compiled 7 to 4 computations (42.9% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Accurracy

99.6%

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
▶	99.6%	(-.f64 (log.f64 x) (log.f64 (log.f64 x)))

Compiler

Compiled 14 to 8 computations (42.9% saved)

localize27.0ms (1%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	99.9%	(log.f64 (log.f64 x))
✓	99.6%	(-.f64 (log.f64 x) (log.f64 (log.f64 x)))

Compiler

Compiled 14 to 5 computations (64.3% saved)

series109.0ms (4.2%)

Counts

2 → 16

Calls

6 calls:

Time	Variable		Point	Expression
40.0ms	x	@	0	(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
40.0ms	x	@	-inf	(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
29.0ms	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))

rewrite103.0ms (4%)

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))

simplify75.0ms (2.9%)

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	2421
1	312	1589
2	1216	1589
3	7360	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 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (log.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (log.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (log.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (log.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(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 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(log.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(log.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(log.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(+.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)))
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(log.f64 (log.f64 x))
(exp.f64 (log.f64 (log.f64 (log.f64 x))))
(log.f64 (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (log.f64 x))
(log1p.f64 (-.f64 (log.f64 x) 1))
(log1p.f64 (+.f64 (log.f64 x) -1))
(log1p.f64 (+.f64 -1 (log.f64 x)))

eval20.0ms (0.8%)

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

prune9.0ms (0.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	69	2	71
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	69	3	72

Accurracy

100.0%

Counts

72 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.2%	(pow.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2)
✓	99.6%	(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
▶	100.0%	(log.f64 (/.f64 x (log.f64 x)))
▶	99.2%	(pow.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2)
✓	99.6%	(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
▶	100.0%	(log.f64 (/.f64 x (log.f64 x)))

Compiler

Compiled 44 to 30 computations (31.8% saved)

localize52.0ms (2%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.8%	(sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))
✓	99.6%	(/.f64 x (log.f64 x))
✓	99.1%	(pow.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2)
✓	99.6%	(/.f64 x (log.f64 x))

Compiler

Compiled 41 to 9 computations (78% saved)

series61.0ms (2.3%)

Counts

4 → 40

Calls

12 calls:

Time	Variable		Point	Expression
17.0ms	x	@	inf	(pow.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2)
17.0ms	x	@	-inf	(pow.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2)
15.0ms	x	@	0	(pow.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2)
7.0ms	x	@	inf	(/.f64 x (log.f64 x))
4.0ms	x	@	-inf	(/.f64 x (log.f64 x))

rewrite77.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

1672×	`pow1`
1542×	`add-exp-log`
1542×	`log1p-expm1-u`
1542×	`expm1-log1p-u`
1500×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	56
1	201	56
2	2152	56

Stop Event

1×	node limit

Counts

4 → 119

Calls

Call 1

Inputs
(/.f64 x (log.f64 x))
(pow.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2)
(/.f64 x (log.f64 x))
(sqrt.f64 (log.f64 (/.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 (exp.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))) (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))))
(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 (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))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (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 0 (log.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 (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 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))) (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))))
(*.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 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) (.f64 (cbrt.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))) (sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2) (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))))
(.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 1/4) (.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 1/4) (sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))))
(.f64 (.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))) (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 1/4)) (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 1/4))
(.f64 (.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))) (cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))) (cbrt.f64 (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))))
(neg.f64 (log.f64 (/.f64 (log.f64 x) x)))
(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 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 (exp.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))) (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))))
(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 (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))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (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 (+.f64 1 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))) 1)
(*.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 1)
(*.f64 1 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))))
(*.f64 (cbrt.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))) (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))))
(*.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) (cbrt.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))))
(*.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 1/4) (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2)) (sqrt.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2) 1/2) (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 1/2))
(pow.f64 (log.f64 (/.f64 x (log.f64 x))) 1/2)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))) 3)
(pow.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 3/2) 1/3)
(pow.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 1/4) 2)
(fabs.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))))
(log.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))))
(exp.f64 (log.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))))
(log1p.f64 (expm1.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))))

simplify69.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

1280×	`unswap-sqr`
1090×	`fma-def`
640×	`associate-/l*`
632×	`times-frac`
526×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	206	3663
1	446	2955
2	1442	2947

Stop Event

1×	node limit

Counts

159 → 108

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 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(/.f64 x (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(/.f64 x (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(/.f64 x (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(+.f64 (log.f64 (/.f64 1 (log.f64 x))) (log.f64 x))
(+.f64 (log.f64 (/.f64 1 (log.f64 x))) (log.f64 x))
(+.f64 (log.f64 (/.f64 1 (log.f64 x))) (log.f64 x))
(+.f64 (log.f64 (/.f64 1 (log.f64 x))) (log.f64 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 -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 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))
(*.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 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(/.f64 x (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(/.f64 x (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(/.f64 x (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(sqrt.f64 (+.f64 (log.f64 (/.f64 1 (log.f64 x))) (log.f64 x)))
(sqrt.f64 (+.f64 (log.f64 (/.f64 1 (log.f64 x))) (log.f64 x)))
(sqrt.f64 (+.f64 (log.f64 (/.f64 1 (log.f64 x))) (log.f64 x)))
(sqrt.f64 (+.f64 (log.f64 (/.f64 1 (log.f64 x))) (log.f64 x)))
(sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 -1 (log.f64 (/.f64 1 x))))))
(sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 -1 (log.f64 (/.f64 1 x))))))
(sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 -1 (log.f64 (/.f64 1 x))))))
(sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (/.f64 -1 (log.f64 (/.f64 1 x))))))
(sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))
(sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))
(sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))
(sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (/.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))
(+.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)
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(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))) (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))))
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(pow.f64 (exp.f64 1) (log.f64 (/.f64 x (log.f64 x))))
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(sqrt.f64 (pow.f64 (/.f64 x (log.f64 x)) 2))
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(cbrt.f64 (pow.f64 (/.f64 x (log.f64 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (log.f64 x) 3)))
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(-.f64 (+.f64 1 (log.f64 (/.f64 x (log.f64 x)))) 1)
(*.f64 (log.f64 (/.f64 x (log.f64 x))) 1)
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(*.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))
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(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2) (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))))
(.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 1/4) (.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 1/4) (sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))))
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(/.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))))
(neg.f64 (log.f64 (/.f64 (log.f64 x) x)))
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(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))))
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(*.f64 (sqrt.f64 (/.f64 x (log.f64 x))) (sqrt.f64 (/.f64 x (log.f64 x))))
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(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (log.f64 x))))
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(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (/.f64 x (cbrt.f64 (log.f64 x))))
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(*.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))))
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(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))) (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))))
(pow.f64 (cbrt.f64 (/.f64 x (log.f64 x))) 3)
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(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (log.f64 x) 3)))
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(*.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 1/4) (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2)) (sqrt.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))))
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Outputs
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(*.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) (cbrt.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))))
(*.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 1/4) (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 1/4))
(sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2)) (sqrt.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))))
(*.f64 (fabs.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))) (sqrt.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))))
(*.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) (sqrt.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))))
(sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2) 1/2) (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2)) (sqrt.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))))
(*.f64 (fabs.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))) (sqrt.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))))
(*.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x)))) (sqrt.f64 (cbrt.f64 (log.f64 (/.f64 x (log.f64 x))))))
(pow.f64 (log.f64 (/.f64 x (log.f64 x))) 1/2)
(sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))
(pow.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 1)
(sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))
(pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))) 3)
(sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))
(pow.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 3/2) 1/3)
(cbrt.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 3/2))
(pow.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 1/4) 2)
(sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))
(fabs.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))))
(sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))
(log.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))))
(sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 x (log.f64 x))) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))))
(sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))
(exp.f64 (log.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))))
(sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))
(log1p.f64 (expm1.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))))
(sqrt.f64 (log.f64 (/.f64 x (log.f64 x))))

eval31.0ms (1.2%)

Compiler: Compiled 1865 to 855 computations (54.2% saved)

prune17.0ms (0.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	149	1	150
Fresh	0	0	0
Picked	0	2	2
Done	1	0	1
Total	150	3	153

Accurracy

100.0%

Counts

153 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.2%	(pow.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2)
✓	100.0%	(log.f64 (/.f64 x (log.f64 x)))
▶	100.0%	(log.f64 (*.f64 (/.f64 1 (log.f64 x)) x))
✓	99.2%	(pow.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2)
✓	100.0%	(log.f64 (/.f64 x (log.f64 x)))
▶	100.0%	(log.f64 (*.f64 (/.f64 1 (log.f64 x)) x))

Compiler

Compiled 46 to 34 computations (26.1% saved)

localize42.0ms (1.6%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	99.7%	(*.f64 (/.f64 1 (log.f64 x)) x)
✓	99.6%	(/.f64 1 (log.f64 x))

Compiler

Compiled 23 to 13 computations (43.5% saved)

series2.0ms (0.1%)

Counts

2 → 20

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(/.f64 1 (log.f64 x))
0.0ms	x	@	0	(/.f64 1 (log.f64 x))
0.0ms	x	@	inf	(/.f64 1 (log.f64 x))
0.0ms	x	@	-inf	(*.f64 (/.f64 1 (log.f64 x)) x)
0.0ms	x	@	inf	(*.f64 (/.f64 1 (log.f64 x)) x)

rewrite56.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1380×	`pow1`
1264×	`add-exp-log`
1264×	`log1p-expm1-u`
1264×	`expm1-log1p-u`
1230×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	22
1	153	22
2	1795	22

Stop Event

1×	node limit

Counts

2 → 41

Calls

Call 1

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

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

simplify64.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

1588×	`fma-def`
836×	`associate-r`
744×	`associate-l`
700×	`log-prod`
684×	`unswap-sqr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	106	823
1	235	707
2	693	707
3	4525	707

Stop Event

1×	node limit

Counts

61 → 48

Calls

Call 1

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

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

eval9.0ms (0.3%)

Compiler: Compiled 449 to 264 computations (41.2% saved)

prune9.0ms (0.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	48	0	48
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	48	3	51

Accurracy

100.0%

Counts

51 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.2%	(pow.f64 (sqrt.f64 (log.f64 (/.f64 x (log.f64 x)))) 2)
✓	100.0%	(log.f64 (/.f64 x (log.f64 x)))
✓	100.0%	(log.f64 (*.f64 (/.f64 1 (log.f64 x)) x))

Compiler

Compiled 50 to 30 computations (40% saved)

regimes12.0ms (0.5%)

Counts

4 → 1

Calls

Call 1

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

Outputs
(log.f64 (*.f64 (/.f64 1 (log.f64 x)) x))

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 39 to 20 computations (48.7% saved)

regimes3.0ms (0.1%)

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:

2.0ms

Results

Accuracy	Segments	Branch
100.0%	1	`x`

Compiler

Compiled 8 to 5 computations (37.5% saved)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

2×	`1-exp`
2×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	36
1	14	36

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

Outputs
(log.f64 (*.f64 (/.f64 1 (log.f64 x)) x))
(log.f64 (*.f64 x (/.f64 1 (log.f64 x))))
(log.f64 (/.f64 x (log.f64 x)))

Compiler

Compiled 14 to 10 computations (28.6% saved)

soundness262.0ms (10%)

Rules

1672×	`pow1`
1670×	`fma-def`
1542×	`add-exp-log`
1542×	`log1p-expm1-u`
1542×	`expm1-log1p-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	135	2421
1	312	1589
2	1216	1589
3	7360	1589
0	10	56
1	201	56
2	2152	56

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 98 to 62 computations (36.7% saved)

end0.0ms (0%)

preprocess25.0ms (0.9%)

Compiler: Compiled 40 to 24 computations (40% saved)

analyze2.0ms (0.1%)

sample999.0ms (38.3%)

preprocess266.0ms (10.2%)

simplify204.0ms (7.8%)

eval0.0ms (0%)

prune1.0ms (0%)

localize27.0ms (1%)

series109.0ms (4.2%)

rewrite103.0ms (4%)

simplify75.0ms (2.9%)

eval20.0ms (0.8%)

prune9.0ms (0.3%)

localize52.0ms (2%)

series61.0ms (2.3%)

rewrite77.0ms (3%)

simplify69.0ms (2.6%)

eval31.0ms (1.2%)

prune17.0ms (0.7%)

localize42.0ms (1.6%)

series2.0ms (0.1%)

rewrite56.0ms (2.2%)

simplify64.0ms (2.5%)

eval9.0ms (0.3%)

prune9.0ms (0.4%)

regimes12.0ms (0.5%)

regimes3.0ms (0.1%)

simplify4.0ms (0.2%)

soundness262.0ms (10%)

end0.0ms (0%)

preprocess25.0ms (0.9%)

Profiling