Details

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)

sample925.0ms (38.1%)

Results

913.0ms	8256×	body	256	valid
1.0ms	15×	body	256	invalid

Bogosity

preprocess220.0ms (9.1%)

Algorithm

2×	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
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 8 to 5 computations (37.5% saved)

simplify214.0ms (8.8%)

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

99.7%

Counts

2 → 1

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)

localize38.0ms (1.5%)

Local Accuracy

Found 2 expressions with local accuracy:

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)

series121.0ms (5%)

Counts

2 → 16

Calls

6 calls:

Time	Variable		Point	Expression
56.0ms	x	@	-inf	(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
41.0ms	x	@	0	(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
24.0ms	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))

rewrite69.0ms (2.9%)

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))

simplify77.0ms (3.2%)

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

eval29.0ms (1.2%)

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

prune8.0ms (0.3%)

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

Accurracy

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)

localize48.0ms (2%)

Local Accuracy

Found 4 expressions with local accuracy:

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

series87.0ms (3.6%)

Counts

4 → 37

Calls

12 calls:

Time	Variable		Point	Expression
39.0ms	x	@	-inf	(/.f64 x (log.f64 x))
15.0ms	x	@	inf	(log.f64 (/.f64 x (log.f64 x)))
13.0ms	x	@	-inf	(log.f64 (/.f64 x (log.f64 x)))
12.0ms	x	@	0	(log.f64 (/.f64 x (log.f64 x)))
7.0ms	x	@	inf	(/.f64 x (log.f64 x))

rewrite81.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1822×	`pow1`
1684×	`add-exp-log`
1680×	`log1p-expm1-u`
1680×	`expm1-log1p-u`
1646×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	54
1	182	54
2	2344	54

Stop Event

1×	node limit

Counts

4 → 134

Calls

Call 1

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

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

simplify86.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

1646×	`fma-def`
1318×	`unswap-sqr`
836×	`times-frac`
810×	`distribute-lft-in`
778×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	226	4065
1	508	3163
2	1728	3143

Stop Event

1×	node limit

Counts

171 → 125

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

eval35.0ms (1.4%)

Compiler: Compiled 2066 to 987 computations (52.2% saved)

prune34.0ms (1.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	168	1	169
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	168	3	171

Accurracy

100.0%

Counts

171 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(log1p.f64 (-.f64 (/.f64 x (log.f64 x)) 1))
▶	0.6%	(log1p.f64 -1)
✓	100.0%	(log.f64 (/.f64 x (log.f64 x)))
✓	100.0%	(log1p.f64 (-.f64 (/.f64 x (log.f64 x)) 1))
▶	0.6%	(log1p.f64 -1)
✓	100.0%	(log.f64 (/.f64 x (log.f64 x)))

Compiler

Compiled 34 to 26 computations (23.5% saved)

localize14.0ms (0.6%)

Compiler: Compiled 5 to 5 computations (0% saved)

eval0.0ms (0%)

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

prune2.0ms (0.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

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

Accurracy

100.0%

Counts

3 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(log1p.f64 (-.f64 (/.f64 x (log.f64 x)) 1))
✓	0.6%	(log1p.f64 -1)
✓	100.0%	(log.f64 (/.f64 x (log.f64 x)))

Compiler

Compiled 38 to 24 computations (36.8% saved)

regimes17.0ms (0.7%)

Counts

4 → 1

Calls

Call 1

Inputs
(log1p.f64 -1)
(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:

9.0ms	(log.f64 x)
4.0ms	x
4.0ms	(-.f64 (log.f64 x) (log.f64 (log.f64 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 33 to 18 computations (45.5% saved)

regimes4.0ms (0.2%)

Counts

2 → 1

Calls

Call 1

Inputs
(log1p.f64 -1)
(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 10 to 7 computations (30% saved)

regimes6.0ms (0.3%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(log1p.f64 -1)

Outputs
(log1p.f64 -1)

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
0.6%	1	`x`

Compiler

Compiled 5 to 4 computations (20% saved)

simplify5.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

4×	`sub-neg`
2×	`*-rgt-identity`
2×	`mul-1-neg`
2×	`1-exp`
2×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	41
1	16	41
2	19	41
3	23	41

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)))
(log1p.f64 -1)

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)))
(log1p.f64 -1)

Compiler

Compiled 17 to 13 computations (23.5% saved)

soundness275.0ms (11.3%)

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	2421
1	312	1589
2	1216	1589
3	7360	1589

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 119 to 69 computations (42% saved)

end30.0ms (1.2%)

Compiler: Compiled 44 to 26 computations (40.9% saved)

Jmat.Real.lambertw, estimator

Details

analyze2.0ms (0.1%)

sample925.0ms (38.1%)

preprocess220.0ms (9.1%)

simplify214.0ms (8.8%)

eval0.0ms (0%)

prune1.0ms (0%)

localize38.0ms (1.5%)

series121.0ms (5%)

rewrite69.0ms (2.9%)

simplify77.0ms (3.2%)

eval29.0ms (1.2%)

prune8.0ms (0.3%)

localize48.0ms (2%)

series87.0ms (3.6%)

rewrite81.0ms (3.4%)

simplify86.0ms (3.6%)

eval35.0ms (1.4%)

prune34.0ms (1.4%)

localize14.0ms (0.6%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes17.0ms (0.7%)

regimes4.0ms (0.2%)

regimes6.0ms (0.3%)

simplify5.0ms (0.2%)

soundness275.0ms (11.3%)

end30.0ms (1.2%)

Profiling