Metrics for qlog (example 3.10)

analyze317.0ms (4.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	50%	50%	0%	0%	0%	0
0%	0%	50%	50%	0%	0%	0%	1
0%	0%	50%	50%	0%	0%	0%	2
0%	0%	50%	50%	0%	0%	0%	3
0%	0%	50%	50%	0%	0%	0%	4
6.3%	3.1%	46.8%	50%	0%	0%	0%	5
9.4%	4.7%	45.3%	50%	0%	0%	0%	6
10.9%	5.5%	44.5%	50%	0%	0%	0%	7
11.7%	5.9%	44.1%	50%	0%	0%	0%	8
12.1%	6%	43.9%	50%	0%	0%	0%	9
12.3%	6.1%	43.8%	50%	0%	0%	0%	10
12.4%	6.2%	43.8%	50%	0%	0%	0%	11
12.5%	6.2%	43.7%	50%	0%	0%	0%	12

Compiler

Compiled 17 to 13 computations (23.5% saved)

sample4.7s (59.8%)

Results

3.3s	4131×	body	1024	valid
701.0ms	2094×	body	512	valid
387.0ms	434×	body	2048	valid
239.0ms	1597×	body	256	valid

Bogosity

preprocess706.0ms (9.1%)

Algorithm

1×	egg-herbie

Rules

4580×	`fma-def`
3820×	`associate-+r+`
3352×	`associate-+l+`
504×	`distribute-lft-out`
358×	`associate-r`

Problems

249×	`(log.f64 (-.f64 1 x))`
7×	`(log.f64 (+.f64 1 x))`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	85
1	30	75
2	45	75
3	76	75
4	115	75
5	158	75
6	186	75
7	211	75
8	242	75
9	342	75
10	408	75
11	482	75
12	527	75
13	535	75
14	537	75
15	765	75
16	1026	75
17	1159	75
18	1323	75
19	1329	75
20	1329	75
21	2167	75
22	2422	75
23	2670	75
24	2803	75
25	2818	75
26	2818	75
27	4572	75
28	4572	75
29	4572	75
30	4572	75
31	4572	75
32	7686	75
33	7735	75
34	7917	75

Stop Event

1×	node limit

Calls

Call 1

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

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

Compiler

Compiled 37 to 28 computations (24.3% saved)

eval0.0ms (0%)

Compiler: Compiled 7 to 5 computations (28.6% saved)

prune2.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
▶	4.0%	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
▶	99.9%	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
▶	4.0%	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))

Compiler

Compiled 34 to 26 computations (23.5% saved)

localize484.0ms (6.2%)

Localize:

Found 5 expressions with local error:

New	Accuracy	Program
✓	100.0%	(log1p.f64 x)
✓	99.9%	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
✓	99.9%	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
✓	8.7%	(log.f64 (-.f64 1 x))
✓	8.6%	(log.f64 (+.f64 1 x))

Compiler

Compiled 41 to 24 computations (41.5% saved)

series7.0ms (0.1%)

Counts

5 → 60

Calls

15 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
2.0ms	x	@	-inf	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
1.0ms	x	@	-inf	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
0.0ms	x	@	inf	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
0.0ms	x	@	0	(log.f64 (+.f64 1 x))

rewrite106.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

798×	`unpow-prod-down`
680×	`prod-diff`
485×	`log1p-expm1-u`
483×	`expm1-log1p-u`
478×	`log-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	74
1	210	66
2	2326	26

Stop Event

1×	node limit

Counts

5 → 158

Calls

Call 1

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

Outputs
(+.f64 (log1p.f64 x) 0)
(+.f64 (log1p.f64 (pow.f64 x 2)) (neg.f64 (log1p.f64 x)))
(+.f64 (log1p.f64 (pow.f64 x 3)) (log.f64 (/.f64 1 (fma.f64 x (-.f64 x 1) 1))))
(+.f64 (.f64 1/3 (log1p.f64 x)) (.f64 2 (*.f64 1/3 (log1p.f64 x))))
(+.f64 (.f64 1/2 (log1p.f64 x)) (.f64 1/2 (log1p.f64 x)))
(+.f64 (.f64 2 (.f64 1/3 (log1p.f64 x))) (*.f64 1/3 (log1p.f64 x)))
(+.f64 0 (log1p.f64 x))
(+.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 1 x) 2) (+.f64 1 (pow.f64 x 3)))) (log1p.f64 (fma.f64 x x x)))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 x))) 1)
(-.f64 (log1p.f64 (pow.f64 x 2)) (log1p.f64 x))
(-.f64 (log1p.f64 (pow.f64 x 3)) (log1p.f64 (fma.f64 x x x)))
(-.f64 (log1p.f64 (pow.f64 x 3)) (log.f64 (fma.f64 x x (+.f64 1 x))))
(-.f64 0 (log.f64 (/.f64 (fma.f64 x (-.f64 x 1) 1) (+.f64 1 (pow.f64 x 3)))))
(-.f64 0 (log.f64 (/.f64 (+.f64 1 x) (pow.f64 (hypot.f64 1 x) 2))))
(-.f64 (log.f64 (neg.f64 (+.f64 1 (pow.f64 x 3)))) (log.f64 (neg.f64 (fma.f64 x (-.f64 x 1) 1))))
(-.f64 (log.f64 (neg.f64 (pow.f64 (hypot.f64 1 x) 2))) (log.f64 (neg.f64 (+.f64 1 x))))
(-.f64 (log.f64 (fma.f64 x x -1)) (log.f64 (-.f64 x 1)))
(-.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 1 x) 2) 1)) (log1p.f64 x))
(-.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 1 x) 2) (sqrt.f64 (+.f64 1 x)))) (*.f64 1/2 (log1p.f64 x)))
(-.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 1 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))) (*.f64 1/3 (log1p.f64 x)))
(*.f64 1 (log1p.f64 x))
(*.f64 (log1p.f64 x) 1)
(*.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)))
(*.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)))
(.f64 3 (.f64 1/3 (log1p.f64 x)))
(.f64 2 (.f64 1/2 (log1p.f64 x)))
(.f64 1/3 (.f64 3 (log1p.f64 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 x))) 2) 3) (cbrt.f64 (log1p.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 x))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 x))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 x) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 x) 3)) 1/3))
(.f64 (pow.f64 (pow.f64 (.f64 (log1p.f64 x) (cbrt.f64 (log1p.f64 x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (log1p.f64 x))))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 x) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (log1p.f64 x))))
(pow.f64 (log1p.f64 x) 1)
(pow.f64 (cbrt.f64 (log1p.f64 x)) 3)
(pow.f64 (pow.f64 (log1p.f64 x) 2) 1/2)
(pow.f64 (pow.f64 (log1p.f64 x) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 x)) 2)
(neg.f64 (log.f64 (/.f64 (fma.f64 x (-.f64 x 1) 1) (+.f64 1 (pow.f64 x 3)))))
(neg.f64 (log.f64 (/.f64 (+.f64 1 x) (pow.f64 (hypot.f64 1 x) 2))))
(sqrt.f64 (pow.f64 (log1p.f64 x) 2))
(cbrt.f64 (pow.f64 (log1p.f64 x) 3))
(expm1.f64 (log1p.f64 (log1p.f64 x)))
(exp.f64 (log.f64 (log1p.f64 x)))
(exp.f64 (*.f64 (log.f64 (log1p.f64 x)) 1))
(exp.f64 (.f64 (.f64 (log.f64 (log1p.f64 x)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 x))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (log1p.f64 x))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 x))) 2))
(exp.f64 (+.f64 0 (*.f64 (log.f64 (log1p.f64 x)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (log1p.f64 x)) 1) 0))
(log1p.f64 x)
(+.f64 (log1p.f64 x) 0)
(+.f64 (log1p.f64 (pow.f64 x 2)) (neg.f64 (log1p.f64 x)))
(+.f64 (log1p.f64 (pow.f64 x 3)) (log.f64 (/.f64 1 (fma.f64 x (-.f64 x 1) 1))))
(+.f64 (.f64 1/3 (log1p.f64 x)) (.f64 2 (*.f64 1/3 (log1p.f64 x))))
(+.f64 (.f64 1/2 (log1p.f64 x)) (.f64 1/2 (log1p.f64 x)))
(+.f64 (.f64 2 (.f64 1/3 (log1p.f64 x))) (*.f64 1/3 (log1p.f64 x)))
(+.f64 0 (log1p.f64 x))
(+.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 1 x) 2) (+.f64 1 (pow.f64 x 3)))) (log1p.f64 (fma.f64 x x x)))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 x))) 1)
(-.f64 (log1p.f64 (pow.f64 x 2)) (log1p.f64 x))
(-.f64 (log1p.f64 (pow.f64 x 3)) (log1p.f64 (fma.f64 x x x)))
(-.f64 (log1p.f64 (pow.f64 x 3)) (log.f64 (fma.f64 x x (+.f64 1 x))))
(-.f64 0 (log.f64 (/.f64 (fma.f64 x (-.f64 x 1) 1) (+.f64 1 (pow.f64 x 3)))))
(-.f64 0 (log.f64 (/.f64 (+.f64 1 x) (pow.f64 (hypot.f64 1 x) 2))))
(-.f64 (log.f64 (neg.f64 (+.f64 1 (pow.f64 x 3)))) (log.f64 (neg.f64 (fma.f64 x (-.f64 x 1) 1))))
(-.f64 (log.f64 (neg.f64 (pow.f64 (hypot.f64 1 x) 2))) (log.f64 (neg.f64 (+.f64 1 x))))
(-.f64 (log.f64 (fma.f64 x x -1)) (log.f64 (-.f64 x 1)))
(-.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 1 x) 2) 1)) (log1p.f64 x))
(-.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 1 x) 2) (sqrt.f64 (+.f64 1 x)))) (*.f64 1/2 (log1p.f64 x)))
(-.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 1 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))) (*.f64 1/3 (log1p.f64 x)))
(*.f64 1 (log1p.f64 x))
(*.f64 (log1p.f64 x) 1)
(*.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)))
(*.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)))
(.f64 3 (.f64 1/3 (log1p.f64 x)))
(.f64 2 (.f64 1/2 (log1p.f64 x)))
(.f64 1/3 (.f64 3 (log1p.f64 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 x))) 2) 3) (cbrt.f64 (log1p.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 x))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 x))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 x) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 x) 3)) 1/3))
(.f64 (pow.f64 (pow.f64 (.f64 (log1p.f64 x) (cbrt.f64 (log1p.f64 x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (log1p.f64 x))))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 x) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (log1p.f64 x))))
(pow.f64 (log1p.f64 x) 1)
(pow.f64 (cbrt.f64 (log1p.f64 x)) 3)
(pow.f64 (pow.f64 (log1p.f64 x) 2) 1/2)
(pow.f64 (pow.f64 (log1p.f64 x) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 x)) 2)
(neg.f64 (log.f64 (/.f64 (fma.f64 x (-.f64 x 1) 1) (+.f64 1 (pow.f64 x 3)))))
(neg.f64 (log.f64 (/.f64 (+.f64 1 x) (pow.f64 (hypot.f64 1 x) 2))))
(sqrt.f64 (pow.f64 (log1p.f64 x) 2))
(cbrt.f64 (pow.f64 (log1p.f64 x) 3))
(expm1.f64 (log1p.f64 (log1p.f64 x)))
(exp.f64 (log.f64 (log1p.f64 x)))
(exp.f64 (*.f64 (log.f64 (log1p.f64 x)) 1))
(exp.f64 (.f64 (.f64 (log.f64 (log1p.f64 x)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 x))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (log1p.f64 x))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 x))) 2))
(exp.f64 (+.f64 0 (*.f64 (log.f64 (log1p.f64 x)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (log1p.f64 x)) 1) 0))
(log1p.f64 x)
1
1
(+.f64 (log1p.f64 x) 0)
(+.f64 (log1p.f64 (pow.f64 x 2)) (neg.f64 (log1p.f64 x)))
(+.f64 (log1p.f64 (pow.f64 x 3)) (log.f64 (/.f64 1 (fma.f64 x (-.f64 x 1) 1))))
(+.f64 (.f64 1/3 (log1p.f64 x)) (.f64 2 (*.f64 1/3 (log1p.f64 x))))
(+.f64 (.f64 1/2 (log1p.f64 x)) (.f64 1/2 (log1p.f64 x)))
(+.f64 (.f64 2 (.f64 1/3 (log1p.f64 x))) (*.f64 1/3 (log1p.f64 x)))
(+.f64 0 (log1p.f64 x))
(+.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 1 x) 2) (+.f64 1 (pow.f64 x 3)))) (log1p.f64 (fma.f64 x x x)))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 x))) 1)
(-.f64 (log1p.f64 (pow.f64 x 2)) (log1p.f64 x))
(-.f64 (log1p.f64 (pow.f64 x 3)) (log1p.f64 (fma.f64 x x x)))
(-.f64 (log1p.f64 (pow.f64 x 3)) (log.f64 (fma.f64 x x (+.f64 1 x))))
(-.f64 0 (log.f64 (/.f64 (fma.f64 x (-.f64 x 1) 1) (+.f64 1 (pow.f64 x 3)))))
(-.f64 0 (log.f64 (/.f64 (+.f64 1 x) (pow.f64 (hypot.f64 1 x) 2))))
(-.f64 (log.f64 (neg.f64 (+.f64 1 (pow.f64 x 3)))) (log.f64 (neg.f64 (fma.f64 x (-.f64 x 1) 1))))
(-.f64 (log.f64 (neg.f64 (pow.f64 (hypot.f64 1 x) 2))) (log.f64 (neg.f64 (+.f64 1 x))))
(-.f64 (log.f64 (fma.f64 x x -1)) (log.f64 (-.f64 x 1)))
(-.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 1 x) 2) 1)) (log1p.f64 x))
(-.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 1 x) 2) (sqrt.f64 (+.f64 1 x)))) (*.f64 1/2 (log1p.f64 x)))
(-.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 1 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))) (*.f64 1/3 (log1p.f64 x)))
(*.f64 1 (log1p.f64 x))
(*.f64 (log1p.f64 x) 1)
(*.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)))
(*.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)))
(.f64 3 (.f64 1/3 (log1p.f64 x)))
(.f64 2 (.f64 1/2 (log1p.f64 x)))
(.f64 1/3 (.f64 3 (log1p.f64 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 x))) 2) 3) (cbrt.f64 (log1p.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 x))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 x))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 x) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 x) 3)) 1/3))
(.f64 (pow.f64 (pow.f64 (.f64 (log1p.f64 x) (cbrt.f64 (log1p.f64 x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (log1p.f64 x))))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 x) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (log1p.f64 x))))
(pow.f64 (log1p.f64 x) 1)
(pow.f64 (cbrt.f64 (log1p.f64 x)) 3)
(pow.f64 (pow.f64 (log1p.f64 x) 2) 1/2)
(pow.f64 (pow.f64 (log1p.f64 x) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 x)) 2)
(neg.f64 (log.f64 (/.f64 (fma.f64 x (-.f64 x 1) 1) (+.f64 1 (pow.f64 x 3)))))
(neg.f64 (log.f64 (/.f64 (+.f64 1 x) (pow.f64 (hypot.f64 1 x) 2))))
(sqrt.f64 (pow.f64 (log1p.f64 x) 2))
(log.f64 (+.f64 1 x))
(cbrt.f64 (pow.f64 (log1p.f64 x) 3))
(expm1.f64 (log1p.f64 (log1p.f64 x)))
(exp.f64 (log.f64 (log1p.f64 x)))
(exp.f64 (*.f64 (log.f64 (log1p.f64 x)) 1))
(exp.f64 (.f64 (.f64 (log.f64 (log1p.f64 x)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 x))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (log1p.f64 x))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 x))) 2))
(exp.f64 (+.f64 0 (*.f64 (log.f64 (log1p.f64 x)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (log1p.f64 x)) 1) 0))

simplify116.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1250×	`cancel-sign-sub-inv`
688×	`times-frac`
680×	`fma-neg`
518×	`sub-neg`
484×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	300	10600
1	879	9743
2	3517	9505

Stop Event

1×	node limit

Counts

218 → 194

Calls

Call 1

Inputs
x
(+.f64 x (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 x (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 3))))
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(-.f64 (log.f64 (neg.f64 (+.f64 1 (pow.f64 x 3)))) (log.f64 (neg.f64 (fma.f64 x (-.f64 x 1) 1))))
(-.f64 (log.f64 (neg.f64 (pow.f64 (hypot.f64 1 x) 2))) (log.f64 (neg.f64 (+.f64 1 x))))
(-.f64 (log.f64 (fma.f64 x x -1)) (log.f64 (-.f64 x 1)))
(-.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 1 x) 2) 1)) (log1p.f64 x))
(-.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 1 x) 2) (sqrt.f64 (+.f64 1 x)))) (*.f64 1/2 (log1p.f64 x)))
(-.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 1 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))) (*.f64 1/3 (log1p.f64 x)))
(*.f64 1 (log1p.f64 x))
(*.f64 (log1p.f64 x) 1)
(*.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)))
(*.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)))
(.f64 3 (.f64 1/3 (log1p.f64 x)))
(.f64 2 (.f64 1/2 (log1p.f64 x)))
(.f64 1/3 (.f64 3 (log1p.f64 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 x))) 2) 3) (cbrt.f64 (log1p.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 x))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 x))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 x) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 x) 3)) 1/3))
(.f64 (pow.f64 (pow.f64 (.f64 (log1p.f64 x) (cbrt.f64 (log1p.f64 x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (log1p.f64 x))))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 x) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (log1p.f64 x))))
(pow.f64 (log1p.f64 x) 1)
(pow.f64 (cbrt.f64 (log1p.f64 x)) 3)
(pow.f64 (pow.f64 (log1p.f64 x) 2) 1/2)
(pow.f64 (pow.f64 (log1p.f64 x) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 x)) 2)
(neg.f64 (log.f64 (/.f64 (fma.f64 x (-.f64 x 1) 1) (+.f64 1 (pow.f64 x 3)))))
(neg.f64 (log.f64 (/.f64 (+.f64 1 x) (pow.f64 (hypot.f64 1 x) 2))))
(sqrt.f64 (pow.f64 (log1p.f64 x) 2))
(cbrt.f64 (pow.f64 (log1p.f64 x) 3))
(expm1.f64 (log1p.f64 (log1p.f64 x)))
(exp.f64 (log.f64 (log1p.f64 x)))
(exp.f64 (*.f64 (log.f64 (log1p.f64 x)) 1))
(exp.f64 (.f64 (.f64 (log.f64 (log1p.f64 x)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 x))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (log1p.f64 x))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 x))) 2))
(exp.f64 (+.f64 0 (*.f64 (log.f64 (log1p.f64 x)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (log1p.f64 x)) 1) 0))
(log1p.f64 x)
(+.f64 (log1p.f64 x) 0)
(+.f64 (log1p.f64 (pow.f64 x 2)) (neg.f64 (log1p.f64 x)))
(+.f64 (log1p.f64 (pow.f64 x 3)) (log.f64 (/.f64 1 (fma.f64 x (-.f64 x 1) 1))))
(+.f64 (.f64 1/3 (log1p.f64 x)) (.f64 2 (*.f64 1/3 (log1p.f64 x))))
(+.f64 (.f64 1/2 (log1p.f64 x)) (.f64 1/2 (log1p.f64 x)))
(+.f64 (.f64 2 (.f64 1/3 (log1p.f64 x))) (*.f64 1/3 (log1p.f64 x)))
(+.f64 0 (log1p.f64 x))
(+.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 1 x) 2) (+.f64 1 (pow.f64 x 3)))) (log1p.f64 (fma.f64 x x x)))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 x))) 1)
(-.f64 (log1p.f64 (pow.f64 x 2)) (log1p.f64 x))
(-.f64 (log1p.f64 (pow.f64 x 3)) (log1p.f64 (fma.f64 x x x)))
(-.f64 (log1p.f64 (pow.f64 x 3)) (log.f64 (fma.f64 x x (+.f64 1 x))))
(-.f64 0 (log.f64 (/.f64 (fma.f64 x (-.f64 x 1) 1) (+.f64 1 (pow.f64 x 3)))))
(-.f64 0 (log.f64 (/.f64 (+.f64 1 x) (pow.f64 (hypot.f64 1 x) 2))))
(-.f64 (log.f64 (neg.f64 (+.f64 1 (pow.f64 x 3)))) (log.f64 (neg.f64 (fma.f64 x (-.f64 x 1) 1))))
(-.f64 (log.f64 (neg.f64 (pow.f64 (hypot.f64 1 x) 2))) (log.f64 (neg.f64 (+.f64 1 x))))
(-.f64 (log.f64 (fma.f64 x x -1)) (log.f64 (-.f64 x 1)))
(-.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 1 x) 2) 1)) (log1p.f64 x))
(-.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 1 x) 2) (sqrt.f64 (+.f64 1 x)))) (*.f64 1/2 (log1p.f64 x)))
(-.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 1 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))) (*.f64 1/3 (log1p.f64 x)))
(*.f64 1 (log1p.f64 x))
(*.f64 (log1p.f64 x) 1)
(*.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)))
(*.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)))
(.f64 3 (.f64 1/3 (log1p.f64 x)))
(.f64 2 (.f64 1/2 (log1p.f64 x)))
(.f64 1/3 (.f64 3 (log1p.f64 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 x))) 2) 3) (cbrt.f64 (log1p.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 x))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 x))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 x) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 x) 3)) 1/3))
(.f64 (pow.f64 (pow.f64 (.f64 (log1p.f64 x) (cbrt.f64 (log1p.f64 x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (log1p.f64 x))))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 x) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (log1p.f64 x))))
(pow.f64 (log1p.f64 x) 1)
(pow.f64 (cbrt.f64 (log1p.f64 x)) 3)
(pow.f64 (pow.f64 (log1p.f64 x) 2) 1/2)
(pow.f64 (pow.f64 (log1p.f64 x) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 x)) 2)
(neg.f64 (log.f64 (/.f64 (fma.f64 x (-.f64 x 1) 1) (+.f64 1 (pow.f64 x 3)))))
(neg.f64 (log.f64 (/.f64 (+.f64 1 x) (pow.f64 (hypot.f64 1 x) 2))))
(sqrt.f64 (pow.f64 (log1p.f64 x) 2))
(cbrt.f64 (pow.f64 (log1p.f64 x) 3))
(expm1.f64 (log1p.f64 (log1p.f64 x)))
(exp.f64 (log.f64 (log1p.f64 x)))
(exp.f64 (*.f64 (log.f64 (log1p.f64 x)) 1))
(exp.f64 (.f64 (.f64 (log.f64 (log1p.f64 x)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 x))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (log1p.f64 x))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 x))) 2))
(exp.f64 (+.f64 0 (*.f64 (log.f64 (log1p.f64 x)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (log1p.f64 x)) 1) 0))
(log1p.f64 x)
1
1
(+.f64 (log1p.f64 x) 0)
(+.f64 (log1p.f64 (pow.f64 x 2)) (neg.f64 (log1p.f64 x)))
(+.f64 (log1p.f64 (pow.f64 x 3)) (log.f64 (/.f64 1 (fma.f64 x (-.f64 x 1) 1))))
(+.f64 (.f64 1/3 (log1p.f64 x)) (.f64 2 (*.f64 1/3 (log1p.f64 x))))
(+.f64 (.f64 1/2 (log1p.f64 x)) (.f64 1/2 (log1p.f64 x)))
(+.f64 (.f64 2 (.f64 1/3 (log1p.f64 x))) (*.f64 1/3 (log1p.f64 x)))
(+.f64 0 (log1p.f64 x))
(+.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 1 x) 2) (+.f64 1 (pow.f64 x 3)))) (log1p.f64 (fma.f64 x x x)))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 x))) 1)
(-.f64 (log1p.f64 (pow.f64 x 2)) (log1p.f64 x))
(-.f64 (log1p.f64 (pow.f64 x 3)) (log1p.f64 (fma.f64 x x x)))
(-.f64 (log1p.f64 (pow.f64 x 3)) (log.f64 (fma.f64 x x (+.f64 1 x))))
(-.f64 0 (log.f64 (/.f64 (fma.f64 x (-.f64 x 1) 1) (+.f64 1 (pow.f64 x 3)))))
(-.f64 0 (log.f64 (/.f64 (+.f64 1 x) (pow.f64 (hypot.f64 1 x) 2))))
(-.f64 (log.f64 (neg.f64 (+.f64 1 (pow.f64 x 3)))) (log.f64 (neg.f64 (fma.f64 x (-.f64 x 1) 1))))
(-.f64 (log.f64 (neg.f64 (pow.f64 (hypot.f64 1 x) 2))) (log.f64 (neg.f64 (+.f64 1 x))))
(-.f64 (log.f64 (fma.f64 x x -1)) (log.f64 (-.f64 x 1)))
(-.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 1 x) 2) 1)) (log1p.f64 x))
(-.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 1 x) 2) (sqrt.f64 (+.f64 1 x)))) (*.f64 1/2 (log1p.f64 x)))
(-.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 1 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))) (*.f64 1/3 (log1p.f64 x)))
(*.f64 1 (log1p.f64 x))
(*.f64 (log1p.f64 x) 1)
(*.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)))
(*.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)))
(.f64 3 (.f64 1/3 (log1p.f64 x)))
(.f64 2 (.f64 1/2 (log1p.f64 x)))
(.f64 1/3 (.f64 3 (log1p.f64 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 x))) 2) 3) (cbrt.f64 (log1p.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 x))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 x))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 x) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 x) 3)) 1/3))
(.f64 (pow.f64 (pow.f64 (.f64 (log1p.f64 x) (cbrt.f64 (log1p.f64 x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (log1p.f64 x))))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 x) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (log1p.f64 x))))
(pow.f64 (log1p.f64 x) 1)
(pow.f64 (cbrt.f64 (log1p.f64 x)) 3)
(pow.f64 (pow.f64 (log1p.f64 x) 2) 1/2)
(pow.f64 (pow.f64 (log1p.f64 x) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 x)) 2)
(neg.f64 (log.f64 (/.f64 (fma.f64 x (-.f64 x 1) 1) (+.f64 1 (pow.f64 x 3)))))
(neg.f64 (log.f64 (/.f64 (+.f64 1 x) (pow.f64 (hypot.f64 1 x) 2))))
(sqrt.f64 (pow.f64 (log1p.f64 x) 2))
(log.f64 (+.f64 1 x))
(cbrt.f64 (pow.f64 (log1p.f64 x) 3))
(expm1.f64 (log1p.f64 (log1p.f64 x)))
(exp.f64 (log.f64 (log1p.f64 x)))
(exp.f64 (*.f64 (log.f64 (log1p.f64 x)) 1))
(exp.f64 (.f64 (.f64 (log.f64 (log1p.f64 x)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 x))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (log1p.f64 x))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 x))) 2))
(exp.f64 (+.f64 0 (*.f64 (log.f64 (log1p.f64 x)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (log1p.f64 x)) 1) 0))

Outputs
x
(+.f64 x (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 -1/2 (pow.f64 x 2) x)
(+.f64 x (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 3))))
(+.f64 x (fma.f64 -1/2 (pow.f64 x 2) (*.f64 1/3 (pow.f64 x 3))))
(+.f64 (fma.f64 -1/2 (pow.f64 x 2) x) (*.f64 1/3 (pow.f64 x 3)))
(+.f64 x (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/4 (pow.f64 x 4)) (*.f64 1/3 (pow.f64 x 3)))))
(+.f64 x (fma.f64 -1/2 (pow.f64 x 2) (fma.f64 -1/4 (pow.f64 x 4) (*.f64 1/3 (pow.f64 x 3)))))
(+.f64 x (fma.f64 -1/2 (pow.f64 x 2) (fma.f64 1/3 (pow.f64 x 3) (*.f64 -1/4 (pow.f64 x 4)))))
(+.f64 (fma.f64 -1/2 (pow.f64 x 2) x) (fma.f64 1/3 (pow.f64 x 3) (*.f64 -1/4 (pow.f64 x 4))))
(*.f64 -1 (log.f64 (/.f64 1 x)))
(neg.f64 (neg.f64 (log.f64 x)))
(log.f64 x)
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 x))
(fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1 x))
(+.f64 (/.f64 1 x) (log.f64 x))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 x)) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1 x)) (/.f64 1/2 (pow.f64 x 2)))
(+.f64 (/.f64 1 x) (+.f64 (log.f64 x) (/.f64 -1/2 (pow.f64 x 2))))
(+.f64 (+.f64 (/.f64 1 x) (log.f64 x)) (/.f64 -1/2 (pow.f64 x 2)))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3)))) (/.f64 1/2 (pow.f64 x 2)))
(+.f64 (log.f64 x) (+.f64 (/.f64 1/3 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 -1/2 (pow.f64 x 2)))))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (+.f64 (log.f64 x) (/.f64 -1/2 (pow.f64 x 2))))
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))
(-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (/.f64 1 x)))
(+.f64 (log.f64 -1) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (/.f64 1 x)))
(+.f64 (/.f64 1 x) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (/.f64 1 x))) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 -1) (-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (/.f64 1 x)) (/.f64 1/2 (pow.f64 x 2))))
(+.f64 (log.f64 -1) (+.f64 (-.f64 (/.f64 1 x) (log.f64 (/.f64 -1 x))) (/.f64 -1/2 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 -1) (-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3)))) (/.f64 1/2 (pow.f64 x 2))))
(+.f64 (log.f64 -1) (+.f64 (-.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (log.f64 (/.f64 -1 x))) (/.f64 -1/2 (pow.f64 x 2))))
(+.f64 (log.f64 -1) (+.f64 (+.f64 (/.f64 1 x) (-.f64 (/.f64 1/3 (pow.f64 x 3)) (log.f64 (/.f64 -1 x)))) (/.f64 -1/2 (pow.f64 x 2))))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (.f64 -1 x) (.f64 -1/2 (pow.f64 x 2)))
(fma.f64 -1 x (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))
(+.f64 (.f64 -1 x) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/3 (pow.f64 x 3))))
(fma.f64 -1 x (fma.f64 -1/2 (pow.f64 x 2) (*.f64 (pow.f64 x 3) -1/3)))
(-.f64 (fma.f64 -1/2 (pow.f64 x 2) (*.f64 (pow.f64 x 3) -1/3)) x)
(+.f64 (.f64 -1 x) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (.f64 -1/4 (pow.f64 x 4)))))
(fma.f64 -1 x (fma.f64 -1/2 (pow.f64 x 2) (fma.f64 -1/3 (pow.f64 x 3) (*.f64 -1/4 (pow.f64 x 4)))))
(-.f64 (fma.f64 -1/2 (pow.f64 x 2) (fma.f64 (pow.f64 x 3) -1/3 (*.f64 -1/4 (pow.f64 x 4)))) x)
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (neg.f64 (neg.f64 (log.f64 x))) (log.f64 -1))
(+.f64 (log.f64 x) (log.f64 -1))
(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x)))) (/.f64 1 x))
(+.f64 (log.f64 -1) (-.f64 (neg.f64 (neg.f64 (log.f64 x))) (/.f64 1 x)))
(+.f64 (log.f64 x) (+.f64 (log.f64 -1) (/.f64 -1 x)))
(-.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)))
(-.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 x))) (log.f64 -1)) (+.f64 (/.f64 1 x) (/.f64 1/2 (pow.f64 x 2))))
(+.f64 (log.f64 -1) (-.f64 (log.f64 x) (+.f64 (/.f64 1 x) (/.f64 1/2 (pow.f64 x 2)))))
(+.f64 (log.f64 -1) (+.f64 (-.f64 (log.f64 x) (/.f64 1 x)) (/.f64 -1/2 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))))
(-.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 x))) (log.f64 -1)) (+.f64 (/.f64 1/3 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 1/2 (pow.f64 x 2)))))
(+.f64 (log.f64 -1) (-.f64 (log.f64 x) (+.f64 (/.f64 1/3 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 1/2 (pow.f64 x 2))))))
(*.f64 -1 (log.f64 (/.f64 -1 x)))
(neg.f64 (log.f64 (/.f64 -1 x)))
(-.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (/.f64 1 x))
(-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (/.f64 1 x))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (/.f64 -1 x))
(-.f64 (/.f64 -1 x) (log.f64 (/.f64 -1 x)))
(-.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)))
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1
1
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(exp.f64 (+.f64 0 (*.f64 (log.f64 (log1p.f64 x)) 1)))
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eval106.0ms (1.4%)

Compiler: Compiled 5533 to 4221 computations (23.7% saved)

prune27.0ms (0.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	190	4	194
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	191	5	196

Accuracy

100.0%

Counts

196 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
▶	6.4%	(/.f64 (log.f64 (-.f64 1 x)) (log1p.f64 x))
▶	99.1%	(-.f64 (+.f64 (.f64 -1 x) (.f64 -1/2 (pow.f64 x 2))) 1)
▶	98.9%	(-.f64 -1 x)
	97.8%	-1
✓	99.9%	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
▶	6.4%	(/.f64 (log.f64 (-.f64 1 x)) (log1p.f64 x))
▶	99.1%	(-.f64 (+.f64 (.f64 -1 x) (.f64 -1/2 (pow.f64 x 2))) 1)
▶	98.9%	(-.f64 -1 x)
	97.8%	-1

Compiler

Compiled 66 to 52 computations (21.2% saved)

localize263.0ms (3.4%)

Localize:

Found 4 expressions with local error:

New	Accuracy	Program
	100.0%	(log1p.f64 x)
✓	99.9%	(/.f64 (log.f64 (-.f64 1 x)) (log1p.f64 x))
	8.7%	(log.f64 (-.f64 1 x))
✓	100.0%	(*.f64 -1/2 (pow.f64 x 2))

Compiler

Compiled 61 to 44 computations (27.9% saved)

series2.0ms (0%)

Counts

2 → 12

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(*.f64 -1/2 (pow.f64 x 2))
0.0ms	x	@	-inf	(/.f64 (log.f64 (-.f64 1 x)) (log1p.f64 x))
0.0ms	x	@	inf	(/.f64 (log.f64 (-.f64 1 x)) (log1p.f64 x))
0.0ms	x	@	inf	(*.f64 -1/2 (pow.f64 x 2))
0.0ms	x	@	0	(/.f64 (log.f64 (-.f64 1 x)) (log1p.f64 x))

rewrite79.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1112×	`unpow-prod-down`
762×	`log-prod`
715×	`log1p-expm1-u`
715×	`expm1-log1p-u`
476×	`prod-diff`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	43
1	164	41
2	2031	41

Stop Event

1×	node limit

Counts

2 → 98

Calls

Call 1

Inputs
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (log.f64 (-.f64 1 x)) (log1p.f64 x))

Outputs
(+.f64 0 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) -1/2)) (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) -1/2)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) -1/2))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) -1/2))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) -1/2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/2 (pow.f64 x 2)))) 1)
(pow.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)
(pow.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 x 2))) 3)
(pow.f64 (*.f64 (pow.f64 x 4) 1/4) 1/2)
(pow.f64 (*.f64 (pow.f64 x 6) -1/8) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 -1/2)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/4))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) -1/2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/2 (pow.f64 x 2)))))
(cbrt.f64 (*.f64 (pow.f64 x 6) -1/8))
(expm1.f64 (log1p.f64 (*.f64 -1/2 (pow.f64 x 2))))
(exp.f64 (log.f64 (*.f64 -1/2 (pow.f64 x 2))))
(exp.f64 (.f64 (log.f64 (.f64 -1/2 (pow.f64 x 2))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 -1/2 (pow.f64 x 2))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 -1/2 (pow.f64 x 2)))) 3))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x 6) -1/8)) 1/3))
(exp.f64 (.f64 (log.f64 (.f64 x (sqrt.f64 -1/2))) 2))
(log1p.f64 (expm1.f64 (*.f64 -1/2 (pow.f64 x 2))))
(+.f64 0 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) (/.f64 1 (log1p.f64 x)))) (cbrt.f64 (pow.f64 (-.f64 1 x) (/.f64 1 (log1p.f64 x)))))) (log.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) (/.f64 1 (log1p.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (-.f64 1 x) (/.f64 1 (log1p.f64 x))))) (log.f64 (sqrt.f64 (pow.f64 (-.f64 1 x) (/.f64 1 (log1p.f64 x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) 1)
(*.f64 1 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(*.f64 (log1p.f64 (neg.f64 x)) (/.f64 1 (log1p.f64 x)))
(*.f64 (log1p.f64 (neg.f64 x)) (pow.f64 (cbrt.f64 (/.f64 1 (log1p.f64 x))) 3))
(*.f64 (log1p.f64 (neg.f64 x)) (pow.f64 (sqrt.f64 (/.f64 1 (log1p.f64 x))) 2))
(*.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 1)
(*.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 2) (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) 2))
(.f64 (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2) (.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (/.f64 1 (log1p.f64 x))))
(*.f64 (sqrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) (sqrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
(.f64 (sqrt.f64 (log1p.f64 (neg.f64 x))) (.f64 (sqrt.f64 (log1p.f64 (neg.f64 x))) (/.f64 1 (log1p.f64 x))))
(*.f64 (neg.f64 (log1p.f64 (neg.f64 x))) (/.f64 1 (neg.f64 (log1p.f64 x))))
(*.f64 (neg.f64 (log1p.f64 (neg.f64 x))) (pow.f64 (/.f64 1 (neg.f64 (log1p.f64 x))) 1))
(*.f64 (/.f64 1 (log1p.f64 x)) (log1p.f64 (neg.f64 x)))
(*.f64 (/.f64 1 (log1p.f64 x)) (pow.f64 (/.f64 1 (log1p.f64 (neg.f64 x))) -1))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) -2) (/.f64 (log1p.f64 (neg.f64 x)) (cbrt.f64 (log1p.f64 x))))
(*.f64 (pow.f64 (log1p.f64 x) -1/2) (/.f64 (log1p.f64 (neg.f64 x)) (sqrt.f64 (log1p.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2) 1) (/.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (log1p.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2) (sqrt.f64 (log1p.f64 x))) (/.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (sqrt.f64 (log1p.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 (neg.f64 x))) 1) (/.f64 (sqrt.f64 (log1p.f64 (neg.f64 x))) (log1p.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 (neg.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (/.f64 (sqrt.f64 (log1p.f64 (neg.f64 x))) (cbrt.f64 (log1p.f64 x))))
(*.f64 (pow.f64 1 1/3) (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) -2) 1) (pow.f64 (/.f64 (log1p.f64 (neg.f64 x)) (cbrt.f64 (log1p.f64 x))) 1))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 x) -1/2) 1) (pow.f64 (/.f64 (log1p.f64 (neg.f64 x)) (sqrt.f64 (log1p.f64 x))) 1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2) 1) 1) (pow.f64 (/.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (log1p.f64 x)) 1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) 1) (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2) (sqrt.f64 (log1p.f64 x))) 1) (pow.f64 (/.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (sqrt.f64 (log1p.f64 x))) 1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (log1p.f64 (neg.f64 x))) 1) 1) (pow.f64 (/.f64 (sqrt.f64 (log1p.f64 (neg.f64 x))) (log1p.f64 x)) 1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (log1p.f64 (neg.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) 1) (pow.f64 (/.f64 (sqrt.f64 (log1p.f64 (neg.f64 x))) (cbrt.f64 (log1p.f64 x))) 1))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) 3))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) 3))
(.f64 (pow.f64 (.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) (cbrt.f64 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) 3))
(*.f64 (pow.f64 (pow.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 3/2) 1/3) (pow.f64 (pow.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 3/2) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 3)) 1/3))
(.f64 (pow.f64 (.f64 (pow.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 2) (log1p.f64 (neg.f64 x))) 1/3) (pow.f64 (/.f64 1 (log1p.f64 x)) 1/3))
(.f64 (pow.f64 (pow.f64 (.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) 2) 1/3) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 1/3))
(*.f64 (pow.f64 (pow.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 5/2) 1/3) (pow.f64 (sqrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) 2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) 2))
(.f64 (pow.f64 (.f64 (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) -1) (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) -2) -1) (pow.f64 (/.f64 (log1p.f64 x) (cbrt.f64 (log1p.f64 (neg.f64 x)))) -1))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (neg.f64 x)) -1/2) -1) (pow.f64 (/.f64 (log1p.f64 x) (sqrt.f64 (log1p.f64 (neg.f64 x)))) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) 1) -1) (pow.f64 (/.f64 (cbrt.f64 (log1p.f64 x)) (log1p.f64 (neg.f64 x))) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2)) -1) (pow.f64 (/.f64 (cbrt.f64 (log1p.f64 x)) (cbrt.f64 (log1p.f64 (neg.f64 x)))) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (sqrt.f64 (log1p.f64 (neg.f64 x)))) -1) (pow.f64 (/.f64 (cbrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 (neg.f64 x)))) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) 1) -1) (pow.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) (log1p.f64 (neg.f64 x))) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2)) -1) (pow.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) (cbrt.f64 (log1p.f64 (neg.f64 x)))) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 (neg.f64 x)))) -1) (pow.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 (neg.f64 x)))) -1))
(pow.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 1)
(pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 2)
(pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) -1)
(pow.f64 (/.f64 (/.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 1) -1)
(neg.f64 (/.f64 (log1p.f64 (neg.f64 x)) (neg.f64 (log1p.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 2))
(log.f64 (pow.f64 (-.f64 1 x) (/.f64 1 (log1p.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (log1p.f64 (neg.f64 x)) 3) (pow.f64 (log1p.f64 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
(exp.f64 (log.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) -1))
(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))

simplify89.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1912×	`fma-def`
1268×	`times-frac`
540×	`sqr-pow`
512×	`log-prod`
354×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	410	6402
1	1111	5865
2	3830	5735

Stop Event

1×	node limit

Counts

110 → 175

Calls

Call 1

Inputs
-1
(-.f64 (*.f64 -1 x) 1)
(-.f64 (+.f64 (.f64 -1 x) (.f64 -1/2 (pow.f64 x 2))) 1)
(-.f64 (+.f64 (.f64 -1 x) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3)))) 1)
(.f64 -1 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 x)))) (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 x)))) (log.f64 (/.f64 1 x)))) (/.f64 2 (.f64 x (log.f64 (/.f64 1 x))))) (/.f64 (log.f64 -1) (.f64 x (pow.f64 (log.f64 (/.f64 1 x)) 2))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 x)))) (log.f64 (/.f64 1 x)))) (+.f64 (.f64 2 (/.f64 1 (.f64 x (log.f64 (/.f64 1 x))))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) (log.f64 (/.f64 1 x))))))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 2 (/.f64 1 (log.f64 (/.f64 1 x)))) (/.f64 (log.f64 -1) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (.f64 (pow.f64 x 2) (log.f64 (/.f64 1 x))))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 x)))) (.f64 (pow.f64 x 2) (pow.f64 (log.f64 (/.f64 1 x)) 2)))) (/.f64 (log.f64 -1) (*.f64 x (pow.f64 (log.f64 (/.f64 1 x)) 2))))))
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(pow.f64 (/.f64 (/.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 1) -1)
(neg.f64 (/.f64 (log1p.f64 (neg.f64 x)) (neg.f64 (log1p.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 2))
(log.f64 (pow.f64 (-.f64 1 x) (/.f64 1 (log1p.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (log1p.f64 (neg.f64 x)) 3) (pow.f64 (log1p.f64 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
(exp.f64 (log.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) -1))
(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))

Outputs
-1
(-.f64 (*.f64 -1 x) 1)
(fma.f64 -1 x -1)
(-.f64 -1 x)
(-.f64 (+.f64 (.f64 -1 x) (.f64 -1/2 (pow.f64 x 2))) 1)
(+.f64 (fma.f64 -1 x (*.f64 -1/2 (pow.f64 x 2))) -1)
(fma.f64 -1 x (fma.f64 -1/2 (pow.f64 x 2) -1))
(fma.f64 -1/2 (pow.f64 x 2) (-.f64 -1 x))
(-.f64 (+.f64 (.f64 -1 x) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3)))) 1)
(+.f64 (fma.f64 -1 x (fma.f64 -1/2 (pow.f64 x 2) (*.f64 -5/12 (pow.f64 x 3)))) -1)
(+.f64 -1 (-.f64 (fma.f64 -1/2 (pow.f64 x 2) (*.f64 -5/12 (pow.f64 x 3))) x))
(-.f64 (fma.f64 -1/2 (pow.f64 x 2) (fma.f64 -5/12 (pow.f64 x 3) -1)) x)
(.f64 -1 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 x)))) (log.f64 (/.f64 1 x))))
(neg.f64 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 x)))) (neg.f64 (log.f64 x))))
(/.f64 (neg.f64 (+.f64 (log.f64 -1) (log.f64 x))) (neg.f64 (log.f64 x)))
(*.f64 1 (/.f64 (+.f64 (log.f64 -1) (log.f64 x)) (log.f64 x)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 x)))) (log.f64 (/.f64 1 x)))) (/.f64 2 (.f64 x (log.f64 (/.f64 1 x))))) (/.f64 (log.f64 -1) (.f64 x (pow.f64 (log.f64 (/.f64 1 x)) 2))))
(-.f64 (fma.f64 -1 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 x)))) (neg.f64 (log.f64 x))) (/.f64 2 (*.f64 x (neg.f64 (log.f64 x))))) (/.f64 (/.f64 (log.f64 -1) x) (pow.f64 (neg.f64 (log.f64 x)) 2)))
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(-.f64 (fma.f64 -1 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 x)))) (neg.f64 (log.f64 x))) (+.f64 (/.f64 1/3 (.f64 (pow.f64 x 3) (neg.f64 (log.f64 x)))) (+.f64 (/.f64 2 (.f64 x (neg.f64 (log.f64 x)))) (/.f64 1/2 (.f64 (pow.f64 x 2) (neg.f64 (log.f64 x))))))) (fma.f64 -1 (/.f64 (-.f64 (/.f64 1/2 (neg.f64 (log.f64 x))) (fma.f64 -1 (/.f64 (-.f64 (/.f64 2 (neg.f64 (log.f64 x))) (/.f64 (log.f64 -1) (pow.f64 (neg.f64 (log.f64 x)) 2))) (neg.f64 (log.f64 x))) (.f64 -1/2 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 x)))) (pow.f64 (neg.f64 (log.f64 x)) 2))))) (.f64 (pow.f64 x 3) (neg.f64 (log.f64 x)))) (fma.f64 -1 (/.f64 (-.f64 (/.f64 2 (neg.f64 (log.f64 x))) (/.f64 (log.f64 -1) (pow.f64 (neg.f64 (log.f64 x)) 2))) (.f64 (pow.f64 x 2) (neg.f64 (log.f64 x)))) (fma.f64 -1/2 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 x)))) (.f64 (pow.f64 x 2) (pow.f64 (neg.f64 (log.f64 x)) 2))) (fma.f64 1/3 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 x)))) (.f64 (pow.f64 x 3) (pow.f64 (neg.f64 (log.f64 x)) 2))) (fma.f64 1/2 (/.f64 (-.f64 (/.f64 2 (neg.f64 (log.f64 x))) (/.f64 (log.f64 -1) (pow.f64 (neg.f64 (log.f64 x)) 2))) (*.f64 (pow.f64 x 3) (neg.f64 (log.f64 x)))) (/.f64 (/.f64 (log.f64 -1) x) (pow.f64 (neg.f64 (log.f64 x)) 2))))))))
(-.f64 (+.f64 (-.f64 (+.f64 (/.f64 (/.f64 2 x) (neg.f64 (log.f64 x))) (/.f64 (/.f64 1/2 (pow.f64 x 2)) (neg.f64 (log.f64 x)))) (/.f64 (+.f64 (log.f64 -1) (log.f64 x)) (neg.f64 (log.f64 x)))) (/.f64 1/3 (neg.f64 (.f64 (log.f64 x) (pow.f64 x 3))))) (-.f64 (-.f64 (fma.f64 -1/2 (/.f64 (/.f64 (+.f64 (log.f64 -1) (log.f64 x)) (pow.f64 x 2)) (pow.f64 (neg.f64 (log.f64 x)) 2)) (fma.f64 1/3 (/.f64 (/.f64 (+.f64 (log.f64 -1) (log.f64 x)) (pow.f64 x 3)) (pow.f64 (neg.f64 (log.f64 x)) 2)) (fma.f64 1/2 (/.f64 (-.f64 (/.f64 2 (neg.f64 (log.f64 x))) (/.f64 (log.f64 -1) (pow.f64 (neg.f64 (log.f64 x)) 2))) (neg.f64 (.f64 (log.f64 x) (pow.f64 x 3)))) (/.f64 (log.f64 -1) (.f64 x (pow.f64 (neg.f64 (log.f64 x)) 2)))))) (/.f64 (-.f64 (/.f64 2 (neg.f64 (log.f64 x))) (/.f64 (log.f64 -1) (pow.f64 (neg.f64 (log.f64 x)) 2))) (.f64 (pow.f64 x 2) (neg.f64 (log.f64 x))))) (/.f64 (-.f64 (/.f64 1/2 (neg.f64 (log.f64 x))) (-.f64 (/.f64 (.f64 -1/2 (+.f64 (log.f64 -1) (log.f64 x))) (pow.f64 (neg.f64 (log.f64 x)) 2)) (/.f64 (-.f64 (/.f64 2 (neg.f64 (log.f64 x))) (/.f64 (log.f64 -1) (pow.f64 (neg.f64 (log.f64 x)) 2))) (neg.f64 (log.f64 x))))) (neg.f64 (.f64 (log.f64 x) (pow.f64 x 3))))))
(+.f64 (+.f64 (+.f64 (/.f64 2 (.f64 x (neg.f64 (log.f64 x)))) (/.f64 1/2 (.f64 (pow.f64 x 2) (neg.f64 (log.f64 x))))) (-.f64 (/.f64 1/3 (neg.f64 (.f64 (log.f64 x) (pow.f64 x 3)))) (/.f64 (+.f64 (log.f64 -1) (log.f64 x)) (neg.f64 (log.f64 x))))) (-.f64 (/.f64 (+.f64 (+.f64 (/.f64 1/2 (neg.f64 (log.f64 x))) (-.f64 (/.f64 2 (pow.f64 (neg.f64 (log.f64 x)) 2)) (/.f64 (log.f64 -1) (pow.f64 (neg.f64 (log.f64 x)) 3)))) (.f64 1/2 (/.f64 (+.f64 (log.f64 -1) (log.f64 x)) (pow.f64 (neg.f64 (log.f64 x)) 2)))) (neg.f64 (.f64 (log.f64 x) (pow.f64 x 3)))) (-.f64 (fma.f64 -1/2 (/.f64 (/.f64 (+.f64 (log.f64 -1) (log.f64 x)) (pow.f64 (neg.f64 (log.f64 x)) 2)) (pow.f64 x 2)) (fma.f64 1/3 (/.f64 (+.f64 (log.f64 -1) (log.f64 x)) (.f64 (pow.f64 x 3) (pow.f64 (neg.f64 (log.f64 x)) 2))) (fma.f64 1/2 (/.f64 (-.f64 (/.f64 2 (pow.f64 (neg.f64 (log.f64 x)) 2)) (/.f64 (log.f64 -1) (pow.f64 (neg.f64 (log.f64 x)) 3))) (pow.f64 x 3)) (/.f64 (/.f64 (log.f64 -1) (pow.f64 (neg.f64 (log.f64 x)) 2)) x)))) (/.f64 (-.f64 (/.f64 2 (pow.f64 (neg.f64 (log.f64 x)) 2)) (/.f64 (log.f64 -1) (pow.f64 (neg.f64 (log.f64 x)) 3))) (pow.f64 x 2)))))
(.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x))))))
(/.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))))
(/.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
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(*.f64 -1 (+.f64 (/.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))) (/.f64 (-.f64 (/.f64 1 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))) 2))) x)))
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(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x))))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))) 2))) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))))) (+.f64 (.f64 1/2 (/.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))))) (.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))) 2))))) (pow.f64 x 2))) (.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x))))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))) 2))) x))))
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(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
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(.f64 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) (/.f64 1 (.f64 (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))))
(/.f64 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) (*.f64 (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))
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(*.f64 (/.f64 1 (pow.f64 (log1p.f64 (neg.f64 x)) -1/2)) (/.f64 1 (/.f64 (log1p.f64 x) (sqrt.f64 (log1p.f64 (neg.f64 x))))))
(*.f64 (/.f64 1 (pow.f64 (log1p.f64 (neg.f64 x)) -1/2)) (/.f64 (sqrt.f64 (log1p.f64 (neg.f64 x))) (log1p.f64 x)))
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(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2)) -1) (pow.f64 (/.f64 (cbrt.f64 (log1p.f64 x)) (cbrt.f64 (log1p.f64 (neg.f64 x)))) -1))
(*.f64 (/.f64 1 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2))) (/.f64 1 (/.f64 (cbrt.f64 (log1p.f64 x)) (cbrt.f64 (log1p.f64 (neg.f64 x))))))
(/.f64 (.f64 (.f64 (/.f64 1 (cbrt.f64 (log1p.f64 x))) (cbrt.f64 (log1p.f64 (neg.f64 x)))) 1) (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2)))
(/.f64 (*.f64 (/.f64 1 (cbrt.f64 (log1p.f64 x))) (cbrt.f64 (log1p.f64 (neg.f64 x)))) (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (sqrt.f64 (log1p.f64 (neg.f64 x)))) -1) (pow.f64 (/.f64 (cbrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 (neg.f64 x)))) -1))
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 (neg.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (/.f64 (sqrt.f64 (log1p.f64 (neg.f64 x))) (cbrt.f64 (log1p.f64 x))))
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(*.f64 (pow.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) 1) -1) (pow.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) (log1p.f64 (neg.f64 x))) -1))
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(*.f64 (/.f64 1 (/.f64 (sqrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2))) (/.f64 1 (/.f64 (sqrt.f64 (log1p.f64 x)) (cbrt.f64 (log1p.f64 (neg.f64 x))))))
(.f64 (.f64 (/.f64 1 (sqrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2)) (*.f64 (/.f64 1 (sqrt.f64 (log1p.f64 x))) (cbrt.f64 (log1p.f64 (neg.f64 x)))))
(/.f64 (*.f64 (/.f64 1 (sqrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2)) (/.f64 (sqrt.f64 (log1p.f64 x)) (cbrt.f64 (log1p.f64 (neg.f64 x)))))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 (neg.f64 x)))) -1) (pow.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 (neg.f64 x)))) -1))
(pow.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 (neg.f64 x)))) -2)
(pow.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 1)
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
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(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
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(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
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(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
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(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) -1)
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
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(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(log.f64 (pow.f64 (-.f64 1 x) (/.f64 1 (log1p.f64 x))))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(cbrt.f64 (pow.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 3))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(cbrt.f64 (/.f64 (pow.f64 (log1p.f64 (neg.f64 x)) 3) (pow.f64 (log1p.f64 x) 3)))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(expm1.f64 (log1p.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(exp.f64 (log.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(exp.f64 (*.f64 (log.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 1))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 1) 1))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) 3))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) 1/3))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) 2))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(exp.f64 (*.f64 (log.f64 (/.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) -1))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))

eval101.0ms (1.3%)

Compiler: Compiled 5752 to 3742 computations (34.9% saved)

prune26.0ms (0.3%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	214	0	214
Fresh	0	1	1
Picked	0	3	3
Done	0	1	1
Total	214	5	219

Accuracy

100.0%

Counts

219 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
✓	6.4%	(/.f64 (log.f64 (-.f64 1 x)) (log1p.f64 x))
✓	99.1%	(-.f64 (+.f64 (.f64 -1 x) (.f64 -1/2 (pow.f64 x 2))) 1)
✓	98.9%	(-.f64 -1 x)
	97.8%	-1
✓	99.9%	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
✓	6.4%	(/.f64 (log.f64 (-.f64 1 x)) (log1p.f64 x))
✓	99.1%	(-.f64 (+.f64 (.f64 -1 x) (.f64 -1/2 (pow.f64 x 2))) 1)
✓	98.9%	(-.f64 -1 x)
	97.8%	-1

Compiler

Compiled 66 to 52 computations (21.2% saved)

localize0.0ms (0%)

eval0.0ms (0%)

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

prune4.0ms (0%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	4	4
Total	5	5

Accuracy

100.0%

Counts

5 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
✓	6.4%	(/.f64 (log.f64 (-.f64 1 x)) (log1p.f64 x))
✓	99.1%	(-.f64 (+.f64 (.f64 -1 x) (.f64 -1/2 (pow.f64 x 2))) 1)
✓	98.9%	(-.f64 -1 x)
	97.8%	-1
✓	99.9%	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
✓	6.4%	(/.f64 (log.f64 (-.f64 1 x)) (log1p.f64 x))
✓	99.1%	(-.f64 (+.f64 (.f64 -1 x) (.f64 -1/2 (pow.f64 x 2))) 1)
✓	98.9%	(-.f64 -1 x)
	97.8%	-1

Compiler

Compiled 66 to 52 computations (21.2% saved)

localize0.0ms (0%)

eval0.0ms (0%)

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

prune3.0ms (0%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	4	4
Total	5	5

Accuracy

100.0%

Counts

5 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
✓	6.4%	(/.f64 (log.f64 (-.f64 1 x)) (log1p.f64 x))
✓	99.1%	(-.f64 (+.f64 (.f64 -1 x) (.f64 -1/2 (pow.f64 x 2))) 1)
✓	98.9%	(-.f64 -1 x)
	97.8%	-1

Compiler

Compiled 71 to 54 computations (23.9% saved)

regimes10.0ms (0.1%)

Counts

6 → 1

Calls

Call 1

Inputs
-1
(-.f64 -1 x)
(-.f64 (+.f64 (.f64 -1 x) (.f64 -1/2 (pow.f64 x 2))) 1)
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(/.f64 (log.f64 (-.f64 1 x)) (log1p.f64 x))
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))

Outputs
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))

Calls

2 calls:

6.0ms	x
2.0ms	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))`

Compiler

Compiled 50 to 37 computations (26% saved)

regimes4.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

Inputs
-1
(-.f64 -1 x)
(-.f64 (+.f64 (.f64 -1 x) (.f64 -1/2 (pow.f64 x 2))) 1)

Outputs
(-.f64 (+.f64 (.f64 -1 x) (.f64 -1/2 (pow.f64 x 2))) 1)

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
99.1%	1	`x`

Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes4.0ms (0%)

Counts

2 → 1

Calls

Call 1

Inputs
-1
(-.f64 -1 x)

Outputs
(-.f64 -1 x)

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
98.9%	1	`x`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes3.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
-1

Outputs
-1

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
97.8%	1	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

10×	`+-commutative`
8×	`sub-neg`
6×	`*-commutative`
4×	`neg-mul-1`
4×	`neg-sub0`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	71
1	30	67
2	36	67
3	42	67

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(-.f64 (+.f64 (.f64 -1 x) (.f64 -1/2 (pow.f64 x 2))) 1)
(-.f64 -1 x)
-1

Outputs
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(-.f64 (+.f64 (.f64 -1 x) (.f64 -1/2 (pow.f64 x 2))) 1)
(-.f64 (+.f64 (neg.f64 x) (*.f64 -1/2 (pow.f64 x 2))) 1)
(-.f64 (-.f64 (*.f64 -1/2 (pow.f64 x 2)) x) 1)
(+.f64 -1 (-.f64 (*.f64 -1/2 (pow.f64 x 2)) x))
(-.f64 -1 x)
-1

Compiler

Compiled 23 to 18 computations (21.7% saved)

soundness618.0ms (7.9%)

Rules

4580×	`fma-def`
3820×	`associate-+r+`
3352×	`associate-+l+`
1250×	`cancel-sign-sub-inv`
688×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	85
1	30	75
2	45	75
3	76	75
4	115	75
5	158	75
6	186	75
7	211	75
8	242	75
9	342	75
10	408	75
11	482	75
12	527	75
13	535	75
14	537	75
15	765	75
16	1026	75
17	1159	75
18	1323	75
19	1329	75
20	1329	75
21	2167	75
22	2422	75
23	2670	75
24	2803	75
25	2818	75
26	2818	75
27	4572	75
28	4572	75
29	4572	75
30	4572	75
31	4572	75
32	7686	75
33	7735	75
34	7917	75
0	300	10600
1	879	9743
2	3517	9505

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 63 to 46 computations (27% saved)

end0.0ms (0%)

preprocess55.0ms (0.7%)

Compiler: Compiled 94 to 72 computations (23.4% saved)

analyze317.0ms (4.1%)

sample4.7s (59.8%)

preprocess706.0ms (9.1%)

eval0.0ms (0%)

prune2.0ms (0%)

localize484.0ms (6.2%)

series7.0ms (0.1%)

rewrite106.0ms (1.4%)

simplify116.0ms (1.5%)

eval106.0ms (1.4%)

prune27.0ms (0.4%)

localize263.0ms (3.4%)

series2.0ms (0%)

rewrite79.0ms (1%)

simplify89.0ms (1.1%)

eval101.0ms (1.3%)

prune26.0ms (0.3%)

localize0.0ms (0%)

eval0.0ms (0%)

prune4.0ms (0%)

localize0.0ms (0%)

eval0.0ms (0%)

prune3.0ms (0%)

regimes10.0ms (0.1%)

regimes4.0ms (0.1%)

regimes4.0ms (0%)

regimes3.0ms (0%)

simplify3.0ms (0%)

soundness618.0ms (7.9%)

end0.0ms (0%)

preprocess55.0ms (0.7%)

Profiling