Metrics for Hyperbolic arc-(co)tangent

analyze6.0ms (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%	100%	0%	0%	0%	0%	2
0%	0%	75%	0%	0%	25%	0%	3
40%	25%	37.5%	0%	0%	37.5%	0%	4
66.7%	37.5%	18.7%	0%	0%	43.7%	0%	5
82.4%	43.7%	9.4%	0%	0%	46.9%	0%	6
90.9%	46.9%	4.7%	0%	0%	48.4%	0%	7
95.4%	48.4%	2.3%	0%	0%	49.2%	0%	8
97.7%	49.2%	1.2%	0%	0%	49.6%	0%	9
98.8%	49.6%	0.6%	0%	0%	49.8%	0%	10
99.4%	49.8%	0.3%	0%	0%	49.9%	0%	11
99.7%	49.9%	0.1%	0%	0%	49.9%	0%	12

Compiler

Compiled 14 to 12 computations (14.3% saved)

sample2.9s (50.6%)

Results

1.8s	4097×	body	1024	valid
493.0ms	2091×	body	512	valid
331.0ms	423×	body	2048	valid
240.0ms	1645×	body	256	valid
1.0ms	16×	body	256	invalid

Bogosity

preprocess312.0ms (5.4%)

Algorithm

1×	egg-herbie

Rules

1684×	`fma-def`
1428×	`associate-+r+`
1246×	`fma-neg`
830×	`unsub-neg`
698×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	62
1	38	50
2	64	50
3	128	50
4	264	50
5	712	50
6	1976	50
7	3098	50
8	4560	50
9	5588	50
10	5849	50
11	6057	50
12	6192	50
13	6303	50
14	6594	50
15	6778	50
16	6865	50
17	7173	50
18	7293	50
19	7321	50
20	7341	50
21	7349	50
22	7349	50

Stop Event

1×	node limit

Calls

Call 1

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

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

Compiler

Compiled 14 to 12 computations (14.3% saved)

simplify349.0ms (6.1%)

Algorithm

1×	egg-herbie

Rules

1866×	`fma-def`
1222×	`distribute-lft-in`
986×	`distribute-rgt-in`
932×	`unsub-neg`
766×	`fma-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	29
1	22	25
2	30	25
3	46	25
4	74	25
5	110	25
6	154	25
7	273	25
8	590	25
9	1066	25
10	1508	25
11	1900	25
12	2090	25
13	2224	25
14	2666	25
15	3870	25
16	5191	25
17	5995	25
18	6289	25
19	6414	25
20	6534	25
21	6592	25
22	7016	25
23	7272	25
24	7573	25
25	7709	25
26	7757	25
27	7777	25
28	7785	25
29	7785	25
30	7785	25

Stop Event

1×	node limit

Counts

1 → 3

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 31 to 25 computations (19.4% saved)

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	1	2	3
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	2	2	4

Accurracy

100.0%

Counts

4 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
▶	6.7%	(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
▶	100.0%	(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
▶	6.7%	(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))

Compiler

Compiled 40 to 32 computations (20% saved)

localize313.0ms (5.5%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))
✓	100.0%	(/.f64 (+.f64 1 x) (-.f64 1 x))
✓	6.7%	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))

Compiler

Compiled 59 to 34 computations (42.4% saved)

series4.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite153.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

2050×	`pow1`
1902×	`add-exp-log`
1898×	`log1p-expm1-u`
1898×	`expm1-log1p-u`
256×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	57
1	277	49
2	3718	49

Stop Event

1×	node limit

Counts

3 → 123

Calls

Call 1

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

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

simplify96.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1346×	`fma-neg`
944×	`fma-def`
774×	`div-sub`
762×	`distribute-lft-in`
760×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	246	1449
1	683	1449
2	1428	1449
3	4568	1449

Stop Event

1×	node limit

Counts

159 → 107

Calls

Call 1

Inputs
(*.f64 2 x)
(+.f64 (.f64 2 x) (.f64 2/3 (pow.f64 x 3)))
(+.f64 (.f64 2 x) (+.f64 (.f64 2/3 (pow.f64 x 3)) (*.f64 2/5 (pow.f64 x 5))))
(+.f64 (.f64 2/7 (pow.f64 x 7)) (+.f64 (.f64 2 x) (+.f64 (.f64 2/3 (pow.f64 x 3)) (.f64 2/5 (pow.f64 x 5)))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (.f64 2 (/.f64 1 x))))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (.f64 2 (/.f64 1 x))))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
1
(+.f64 (*.f64 2 x) 1)
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 2 x) 1))
(+.f64 (.f64 2 (pow.f64 x 3)) (+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) 1)))
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 1 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 1 (+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 1 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 1 (+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
(*.f64 2 x)
(+.f64 (.f64 2 x) (.f64 2/3 (pow.f64 x 3)))
(+.f64 (.f64 2 x) (+.f64 (.f64 2/3 (pow.f64 x 3)) (*.f64 2/5 (pow.f64 x 5))))
(+.f64 (.f64 2/7 (pow.f64 x 7)) (+.f64 (.f64 2 x) (+.f64 (.f64 2/3 (pow.f64 x 3)) (.f64 2/5 (pow.f64 x 5)))))
(*.f64 -1 (log.f64 -1))
(+.f64 (.f64 -1 (log.f64 -1)) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 -1 (log.f64 -1)) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))))
(+.f64 (.f64 -1 (log.f64 -1)) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (.f64 2 (/.f64 1 x))))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(+.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x)))
(+.f64 (log1p.f64 x) (*.f64 (neg.f64 (log1p.f64 x)) 1))
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (cbrt.f64 (pow.f64 (log1p.f64 x) 2)) (log1p.f64 x)))
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 x))) (sqrt.f64 (log1p.f64 x)) (log1p.f64 x)))
(+.f64 0 (-.f64 (log1p.f64 x) (log1p.f64 x)))
(+.f64 (neg.f64 (log1p.f64 x)) (log1p.f64 x))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)))) (log.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))) 2)) (log.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)))))
(-.f64 (log1p.f64 x) (log1p.f64 x))
(-.f64 0 (-.f64 (log1p.f64 x) (log1p.f64 x)))
(-.f64 (log.f64 (+.f64 x -1)) (log.f64 (+.f64 x -1)))
(-.f64 (+.f64 1 (-.f64 (log1p.f64 x) (log1p.f64 x))) 1)
(-.f64 (/.f64 (pow.f64 (log1p.f64 x) 3) (+.f64 (pow.f64 (log1p.f64 x) 2) (.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log1p.f64 x))))) (/.f64 (pow.f64 (log1p.f64 x) 3) (+.f64 (pow.f64 (log1p.f64 x) 2) (.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log1p.f64 x))))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) (+.f64 (log1p.f64 x) (log1p.f64 x))) (/.f64 (pow.f64 (log1p.f64 x) 2) (+.f64 (log1p.f64 x) (log1p.f64 x))))
(*.f64 1 (-.f64 (log1p.f64 x) (log1p.f64 x)))
(*.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 1)
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 2)) (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 x) 2) (.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log1p.f64 x))))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (/.f64 1 (+.f64 (log1p.f64 x) (log1p.f64 x))))
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))) (-.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log1p.f64 x)))) (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3))))
(/.f64 1 (/.f64 (+.f64 (log1p.f64 x) (log1p.f64 x)) (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)) (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log1p.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (+.f64 (log1p.f64 x) (log1p.f64 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log1p.f64 x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2))) (neg.f64 (+.f64 (log1p.f64 x) (log1p.f64 x))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (neg.f64 (log1p.f64 x)) 3)) (+.f64 (pow.f64 (log1p.f64 x) 2) (-.f64 (.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x))) (.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))) (-.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x))))
(pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 1)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 2)
(neg.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 2))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(exp.f64 (log.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 1))
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(fma.f64 1 (log1p.f64 x) (neg.f64 (log1p.f64 x)))
(fma.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 2)) (cbrt.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))
(fma.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))
(+.f64 1 (expm1.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(-.f64 (/.f64 -1 (+.f64 x -1)) (/.f64 x (+.f64 1 x)))
(-.f64 (+.f64 1 (/.f64 (+.f64 1 x) (+.f64 1 x))) 1)
(*.f64 1 (/.f64 (+.f64 1 x) (+.f64 1 x)))
(*.f64 (+.f64 1 x) (/.f64 -1 (+.f64 x -1)))
(*.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) 1)
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))) 2) (cbrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))))
(.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (.f64 (cbrt.f64 (+.f64 1 x)) (/.f64 -1 (+.f64 x -1))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))) (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))))
(.f64 (sqrt.f64 (+.f64 1 x)) (.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 -1 (+.f64 x -1))))
(*.f64 (+.f64 x -1) (/.f64 1 (+.f64 x -1)))
(*.f64 (/.f64 -1 (+.f64 x -1)) (+.f64 1 x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (/.f64 (+.f64 1 x) (cbrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 (+.f64 1 x) (sqrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 x)) (+.f64 1 x)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) 1) (/.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 1 x)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (/.f64 (sqrt.f64 (+.f64 1 x)) (cbrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (cbrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (sqrt.f64 (+.f64 1 x))) (/.f64 (cbrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))))
(.f64 (/.f64 (+.f64 1 x) (+.f64 1 (.f64 x x))) (+.f64 1 x))
(*.f64 (/.f64 (+.f64 1 x) (+.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))
(pow.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) 1)
(pow.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) -1)
(pow.f64 (E.f64) (-.f64 (log1p.f64 x) (log1p.f64 x)))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))) 2)
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 2))) (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)))) (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(neg.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 (+.f64 1 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))))
(exp.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))))
(+.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x)))
(+.f64 (log1p.f64 x) (*.f64 (neg.f64 (log1p.f64 x)) 1))
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (cbrt.f64 (pow.f64 (log1p.f64 x) 2)) (log1p.f64 x)))
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 x))) (sqrt.f64 (log1p.f64 x)) (log1p.f64 x)))
(+.f64 0 (-.f64 (log1p.f64 x) (log1p.f64 x)))
(+.f64 (neg.f64 (log1p.f64 x)) (log1p.f64 x))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)))) (log.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))) 2)) (log.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)))))
(*.f64 1 (-.f64 (log1p.f64 x) (log1p.f64 x)))
(*.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 1)
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 2)) (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 x) 2) (.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log1p.f64 x))))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (/.f64 1 (+.f64 (log1p.f64 x) (log1p.f64 x))))
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))) (-.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log1p.f64 x)))) (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3))))
(/.f64 1 (/.f64 (+.f64 (log1p.f64 x) (log1p.f64 x)) (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)) (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log1p.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (+.f64 (log1p.f64 x) (log1p.f64 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log1p.f64 x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2))) (neg.f64 (+.f64 (log1p.f64 x) (log1p.f64 x))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (neg.f64 (log1p.f64 x)) 3)) (+.f64 (pow.f64 (log1p.f64 x) 2) (-.f64 (.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x))) (.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))) (-.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x))))
(pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 1)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 2)
(neg.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 2))
(log.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(exp.f64 (log.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 1))
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(fma.f64 1 (log1p.f64 x) (neg.f64 (log1p.f64 x)))
(fma.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 2)) (cbrt.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))
(fma.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))

Outputs
(*.f64 2 x)
(+.f64 (.f64 2 x) (.f64 2/3 (pow.f64 x 3)))
(fma.f64 2 x (*.f64 2/3 (pow.f64 x 3)))
(+.f64 (.f64 2 x) (+.f64 (.f64 2/3 (pow.f64 x 3)) (*.f64 2/5 (pow.f64 x 5))))
(fma.f64 2 x (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5))))
(+.f64 (.f64 2/7 (pow.f64 x 7)) (+.f64 (.f64 2 x) (+.f64 (.f64 2/3 (pow.f64 x 3)) (.f64 2/5 (pow.f64 x 5)))))
(fma.f64 2/7 (pow.f64 x 7) (fma.f64 2 x (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5)))))
(log.f64 -1)
(*.f64 2 x)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(*.f64 2 x)
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (.f64 2 (/.f64 1 x))))
(fma.f64 2 x (*.f64 2/3 (pow.f64 x 3)))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(fma.f64 2 x (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5))))
(log.f64 -1)
(*.f64 2 x)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(*.f64 2 x)
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (.f64 2 (/.f64 1 x))))
(fma.f64 2 x (*.f64 2/3 (pow.f64 x 3)))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(fma.f64 2 x (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5))))
1
(*.f64 2 x)
(+.f64 (*.f64 2 x) 1)
(*.f64 2 x)
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 2 x) 1))
(*.f64 2 x)
(+.f64 (.f64 2 (pow.f64 x 3)) (+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) 1)))
(*.f64 2 x)
-1
(*.f64 2 x)
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(*.f64 2 x)
(neg.f64 (+.f64 1 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 2 (/.f64 1 (pow.f64 x 2))))))
(*.f64 2 x)
(neg.f64 (+.f64 1 (+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
(*.f64 2 x)
-1
(*.f64 2 x)
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(*.f64 2 x)
(neg.f64 (+.f64 1 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 2 (/.f64 1 (pow.f64 x 2))))))
(*.f64 2 x)
(neg.f64 (+.f64 1 (+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
(*.f64 2 x)
(*.f64 2 x)
(+.f64 (.f64 2 x) (.f64 2/3 (pow.f64 x 3)))
(fma.f64 2 x (*.f64 2/3 (pow.f64 x 3)))
(+.f64 (.f64 2 x) (+.f64 (.f64 2/3 (pow.f64 x 3)) (*.f64 2/5 (pow.f64 x 5))))
(fma.f64 2 x (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5))))
(+.f64 (.f64 2/7 (pow.f64 x 7)) (+.f64 (.f64 2 x) (+.f64 (.f64 2/3 (pow.f64 x 3)) (.f64 2/5 (pow.f64 x 5)))))
(fma.f64 2/7 (pow.f64 x 7) (fma.f64 2 x (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5)))))
(*.f64 -1 (log.f64 -1))
(*.f64 2 x)
(+.f64 (.f64 -1 (log.f64 -1)) (.f64 2 (/.f64 1 x)))
(*.f64 2 x)
(+.f64 (.f64 -1 (log.f64 -1)) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))))
(fma.f64 2 x (*.f64 2/3 (pow.f64 x 3)))
(+.f64 (.f64 -1 (log.f64 -1)) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(fma.f64 2 x (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5))))
(log.f64 -1)
(*.f64 2 x)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(*.f64 2 x)
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (.f64 2 (/.f64 1 x))))
(fma.f64 2 x (*.f64 2/3 (pow.f64 x 3)))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(fma.f64 2 x (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5))))
(+.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x)))
(*.f64 2 x)
(+.f64 (log1p.f64 x) (*.f64 (neg.f64 (log1p.f64 x)) 1))
(*.f64 2 x)
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
(*.f64 2 x)
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (cbrt.f64 (pow.f64 (log1p.f64 x) 2)) (log1p.f64 x)))
(*.f64 2 x)
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 x))) (sqrt.f64 (log1p.f64 x)) (log1p.f64 x)))
(*.f64 2 x)
(+.f64 0 (-.f64 (log1p.f64 x) (log1p.f64 x)))
(*.f64 2 x)
(+.f64 (neg.f64 (log1p.f64 x)) (log1p.f64 x))
(*.f64 2 x)
(+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)))) (log.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)))))
(*.f64 2 x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))) 2)) (log.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)))))
(*.f64 2 x)
(-.f64 (log1p.f64 x) (log1p.f64 x))
(*.f64 2 x)
(-.f64 0 (-.f64 (log1p.f64 x) (log1p.f64 x)))
(*.f64 2 x)
(-.f64 (log.f64 (+.f64 x -1)) (log.f64 (+.f64 x -1)))
(*.f64 2 x)
(-.f64 (+.f64 1 (-.f64 (log1p.f64 x) (log1p.f64 x))) 1)
(*.f64 2 x)
(-.f64 (/.f64 (pow.f64 (log1p.f64 x) 3) (+.f64 (pow.f64 (log1p.f64 x) 2) (.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log1p.f64 x))))) (/.f64 (pow.f64 (log1p.f64 x) 3) (+.f64 (pow.f64 (log1p.f64 x) 2) (.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log1p.f64 x))))))
(*.f64 2 x)
(-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) (+.f64 (log1p.f64 x) (log1p.f64 x))) (/.f64 (pow.f64 (log1p.f64 x) 2) (+.f64 (log1p.f64 x) (log1p.f64 x))))
(*.f64 2 x)
(*.f64 1 (-.f64 (log1p.f64 x) (log1p.f64 x)))
(*.f64 2 x)
(*.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 1)
(*.f64 2 x)
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 2)))
(*.f64 2 x)
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 2)) (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(*.f64 2 x)
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(*.f64 2 x)
(.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 x) 2) (.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log1p.f64 x))))))
(*.f64 2 x)
(*.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (/.f64 1 (+.f64 (log1p.f64 x) (log1p.f64 x))))
(*.f64 2 x)
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))) (-.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))))
(*.f64 2 x)
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log1p.f64 x)))) (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3))))
(*.f64 2 x)
(/.f64 1 (/.f64 (+.f64 (log1p.f64 x) (log1p.f64 x)) (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2))))
(*.f64 2 x)
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)) (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log1p.f64 x)))))
(*.f64 2 x)
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (+.f64 (log1p.f64 x) (log1p.f64 x)))
(*.f64 2 x)
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log1p.f64 x))))))
(*.f64 2 x)
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2))) (neg.f64 (+.f64 (log1p.f64 x) (log1p.f64 x))))
(*.f64 2 x)
(/.f64 (+.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (neg.f64 (log1p.f64 x)) 3)) (+.f64 (pow.f64 (log1p.f64 x) 2) (-.f64 (.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x))) (.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x))))))
(*.f64 2 x)
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))) (-.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x))))
(*.f64 2 x)
(pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 1)
(*.f64 2 x)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 3)
(*.f64 2 x)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 3) 1/3)
(*.f64 2 x)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 2)
(*.f64 2 x)
(neg.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)))
(*.f64 2 x)
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 2))
(*.f64 2 x)
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 3))
(*.f64 2 x)
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(*.f64 2 x)
(exp.f64 (log.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(*.f64 2 x)
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 1))
(*.f64 2 x)
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(*.f64 2 x)
(fma.f64 1 (log1p.f64 x) (neg.f64 (log1p.f64 x)))
(*.f64 2 x)
(fma.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 2)) (cbrt.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))
(*.f64 2 x)
(fma.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))
(*.f64 2 x)
(+.f64 1 (expm1.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(*.f64 2 x)
(-.f64 (/.f64 -1 (+.f64 x -1)) (/.f64 x (+.f64 1 x)))
(*.f64 2 x)
(-.f64 (+.f64 1 (/.f64 (+.f64 1 x) (+.f64 1 x))) 1)
(*.f64 2 x)
(*.f64 1 (/.f64 (+.f64 1 x) (+.f64 1 x)))
(*.f64 2 x)
(*.f64 (+.f64 1 x) (/.f64 -1 (+.f64 x -1)))
(*.f64 2 x)
(*.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) 1)
(*.f64 2 x)
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))) 2))
(*.f64 2 x)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))) 2) (cbrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))))
(*.f64 2 x)
(.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (.f64 (cbrt.f64 (+.f64 1 x)) (/.f64 -1 (+.f64 x -1))))
(*.f64 2 x)
(*.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))) (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))))
(*.f64 2 x)
(.f64 (sqrt.f64 (+.f64 1 x)) (.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 -1 (+.f64 x -1))))
(*.f64 2 x)
(*.f64 (+.f64 x -1) (/.f64 1 (+.f64 x -1)))
(*.f64 2 x)
(*.f64 (/.f64 -1 (+.f64 x -1)) (+.f64 1 x))
(*.f64 2 x)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (/.f64 (+.f64 1 x) (cbrt.f64 (+.f64 1 x))))
(*.f64 2 x)
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 (+.f64 1 x) (sqrt.f64 (+.f64 1 x))))
(*.f64 2 x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 x)) (+.f64 1 x)))
(*.f64 2 x)
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) 1) (/.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 1 x)))
(*.f64 2 x)
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (/.f64 (sqrt.f64 (+.f64 1 x)) (cbrt.f64 (+.f64 1 x))))
(*.f64 2 x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (cbrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))))
(*.f64 2 x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (sqrt.f64 (+.f64 1 x))) (/.f64 (cbrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))))
(*.f64 2 x)
(.f64 (/.f64 (+.f64 1 x) (+.f64 1 (.f64 x x))) (+.f64 1 x))
(*.f64 2 x)
(*.f64 (/.f64 (+.f64 1 x) (+.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))
(*.f64 2 x)
(pow.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) 1)
(*.f64 2 x)
(pow.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) -1)
(*.f64 2 x)
(pow.f64 (E.f64) (-.f64 (log1p.f64 x) (log1p.f64 x)))
(*.f64 2 x)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))) 3)
(*.f64 2 x)
(pow.f64 (pow.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) 3) 1/3)
(*.f64 2 x)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))) 2)
(*.f64 2 x)
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 2))) (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(*.f64 2 x)
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)))) (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(*.f64 2 x)
(neg.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)))
(*.f64 2 x)
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) 2))
(*.f64 2 x)
(log.f64 (exp.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))))
(*.f64 2 x)
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) 3))
(*.f64 2 x)
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 (+.f64 1 x) 3)))
(*.f64 2 x)
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))))
(*.f64 2 x)
(exp.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)))
(*.f64 2 x)
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))))
(*.f64 2 x)
(+.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x)))
(*.f64 2 x)
(+.f64 (log1p.f64 x) (*.f64 (neg.f64 (log1p.f64 x)) 1))
(*.f64 2 x)
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
(*.f64 2 x)
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (cbrt.f64 (pow.f64 (log1p.f64 x) 2)) (log1p.f64 x)))
(*.f64 2 x)
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 x))) (sqrt.f64 (log1p.f64 x)) (log1p.f64 x)))
(*.f64 2 x)
(+.f64 0 (-.f64 (log1p.f64 x) (log1p.f64 x)))
(*.f64 2 x)
(+.f64 (neg.f64 (log1p.f64 x)) (log1p.f64 x))
(*.f64 2 x)
(+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)))) (log.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)))))
(*.f64 2 x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))) 2)) (log.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)))))
(*.f64 2 x)
(*.f64 1 (-.f64 (log1p.f64 x) (log1p.f64 x)))
(*.f64 2 x)
(*.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 1)
(*.f64 2 x)
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 2)))
(*.f64 2 x)
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 2)) (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(*.f64 2 x)
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(*.f64 2 x)
(.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 x) 2) (.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log1p.f64 x))))))
(*.f64 2 x)
(*.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (/.f64 1 (+.f64 (log1p.f64 x) (log1p.f64 x))))
(*.f64 2 x)
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))) (-.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))))
(*.f64 2 x)
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log1p.f64 x)))) (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3))))
(*.f64 2 x)
(/.f64 1 (/.f64 (+.f64 (log1p.f64 x) (log1p.f64 x)) (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2))))
(*.f64 2 x)
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)) (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log1p.f64 x)))))
(*.f64 2 x)
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (+.f64 (log1p.f64 x) (log1p.f64 x)))
(*.f64 2 x)
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log1p.f64 x))))))
(*.f64 2 x)
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2))) (neg.f64 (+.f64 (log1p.f64 x) (log1p.f64 x))))
(*.f64 2 x)
(/.f64 (+.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (neg.f64 (log1p.f64 x)) 3)) (+.f64 (pow.f64 (log1p.f64 x) 2) (-.f64 (.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x))) (.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x))))))
(*.f64 2 x)
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))) (-.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x))))
(*.f64 2 x)
(pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 1)
(*.f64 2 x)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 3)
(*.f64 2 x)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 3) 1/3)
(*.f64 2 x)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 2)
(*.f64 2 x)
(neg.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)))
(*.f64 2 x)
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 2))
(*.f64 2 x)
(log.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)))
(*.f64 2 x)
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 3))
(*.f64 2 x)
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(*.f64 2 x)
(exp.f64 (log.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(*.f64 2 x)
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 1))
(*.f64 2 x)
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(*.f64 2 x)
(fma.f64 1 (log1p.f64 x) (neg.f64 (log1p.f64 x)))
(*.f64 2 x)
(fma.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 2)) (cbrt.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))
(*.f64 2 x)
(fma.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))
(*.f64 2 x)

eval31.0ms (0.5%)

Compiler: Compiled 1625 to 1082 computations (33.4% saved)

prune17.0ms (0.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	104	3	107
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	104	5	109

Accurracy

100.0%

Counts

109 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
▶	100.0%	(.f64 1/2 (+.f64 (.f64 2 x) (+.f64 (.f64 2/3 (pow.f64 x 3)) (.f64 2/5 (pow.f64 x 5)))))
▶	100.0%	(.f64 1/2 (+.f64 (.f64 2 x) (*.f64 2/3 (pow.f64 x 3))))
▶	99.8%	(.f64 1/2 (.f64 2 x))
✓	6.7%	(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
✓	100.0%	(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
▶	100.0%	(.f64 1/2 (+.f64 (.f64 2 x) (+.f64 (.f64 2/3 (pow.f64 x 3)) (.f64 2/5 (pow.f64 x 5)))))
▶	100.0%	(.f64 1/2 (+.f64 (.f64 2 x) (*.f64 2/3 (pow.f64 x 3))))
▶	99.8%	(.f64 1/2 (.f64 2 x))
✓	6.7%	(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))

Compiler

Compiled 112 to 92 computations (17.9% saved)

localize159.0ms (2.8%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	99.9%	(*.f64 2/5 (pow.f64 x 5))
✓	99.8%	(*.f64 2/3 (pow.f64 x 3))
✓	99.8%	(*.f64 2/3 (pow.f64 x 3))

Compiler

Compiled 118 to 93 computations (21.2% saved)

series6.0ms (0.1%)

Counts

3 → 0

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(*.f64 2/3 (pow.f64 x 3))
0.0ms	x	@	0	(*.f64 2/3 (pow.f64 x 3))
0.0ms	x	@	0	(*.f64 2/5 (pow.f64 x 5))
0.0ms	x	@	inf	(*.f64 2/3 (pow.f64 x 3))
0.0ms	x	@	-inf	(*.f64 2/5 (pow.f64 x 5))

rewrite60.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1892×	`pow1`
1776×	`add-exp-log`
1776×	`log1p-expm1-u`
1776×	`expm1-log1p-u`
218×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	39
1	236	39
2	2473	39

Stop Event

1×	node limit

Counts

3 → 36

Calls

Call 1

Inputs
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/5 (pow.f64 x 5))

Outputs
(-.f64 (+.f64 1 (*.f64 2/3 (pow.f64 x 3))) 1)
(pow.f64 (*.f64 2/3 (pow.f64 x 3)) 1)
(pow.f64 (*.f64 x (cbrt.f64 2/3)) 3)
(pow.f64 (pow.f64 (*.f64 2/3 (pow.f64 x 3)) 3) 1/3)
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 2/3)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 6) 4/9))
(log.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))
(cbrt.f64 (pow.f64 (*.f64 2/3 (pow.f64 x 3)) 3))
(expm1.f64 (log1p.f64 (*.f64 2/3 (pow.f64 x 3))))
(exp.f64 (log.f64 (*.f64 2/3 (pow.f64 x 3))))
(exp.f64 (.f64 (log.f64 (.f64 2/3 (pow.f64 x 3))) 1))
(log1p.f64 (expm1.f64 (*.f64 2/3 (pow.f64 x 3))))
(-.f64 (+.f64 1 (*.f64 2/3 (pow.f64 x 3))) 1)
(pow.f64 (*.f64 2/3 (pow.f64 x 3)) 1)
(pow.f64 (*.f64 x (cbrt.f64 2/3)) 3)
(pow.f64 (pow.f64 (*.f64 2/3 (pow.f64 x 3)) 3) 1/3)
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 2/3)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 6) 4/9))
(log.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))
(cbrt.f64 (pow.f64 (*.f64 2/3 (pow.f64 x 3)) 3))
(expm1.f64 (log1p.f64 (*.f64 2/3 (pow.f64 x 3))))
(exp.f64 (log.f64 (*.f64 2/3 (pow.f64 x 3))))
(exp.f64 (.f64 (log.f64 (.f64 2/3 (pow.f64 x 3))) 1))
(log1p.f64 (expm1.f64 (*.f64 2/3 (pow.f64 x 3))))
(-.f64 (+.f64 1 (*.f64 2/5 (pow.f64 x 5))) 1)
(pow.f64 (*.f64 2/5 (pow.f64 x 5)) 1)
(pow.f64 (cbrt.f64 (*.f64 2/5 (pow.f64 x 5))) 3)
(pow.f64 (pow.f64 (*.f64 2/5 (pow.f64 x 5)) 3) 1/3)
(pow.f64 (*.f64 (sqrt.f64 2/5) (pow.f64 x 5/2)) 2)
(sqrt.f64 (*.f64 4/25 (pow.f64 x 10)))
(log.f64 (pow.f64 (exp.f64 2/5) (pow.f64 x 5)))
(cbrt.f64 (pow.f64 (*.f64 2/5 (pow.f64 x 5)) 3))
(expm1.f64 (log1p.f64 (*.f64 2/5 (pow.f64 x 5))))
(exp.f64 (log.f64 (*.f64 2/5 (pow.f64 x 5))))
(exp.f64 (.f64 (log.f64 (.f64 2/5 (pow.f64 x 5))) 1))
(log1p.f64 (expm1.f64 (*.f64 2/5 (pow.f64 x 5))))

simplify50.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1410×	`associate-r`
1286×	`fma-def`
1244×	`associate-l`
772×	`associate-+r+`
712×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	74	900
1	181	684
2	616	468
3	4056	468

Stop Event

1×	node limit

Counts

36 → 30

Calls

Call 1

Inputs
(-.f64 (+.f64 1 (*.f64 2/3 (pow.f64 x 3))) 1)
(pow.f64 (*.f64 2/3 (pow.f64 x 3)) 1)
(pow.f64 (*.f64 x (cbrt.f64 2/3)) 3)
(pow.f64 (pow.f64 (*.f64 2/3 (pow.f64 x 3)) 3) 1/3)
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 2/3)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 6) 4/9))
(log.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))
(cbrt.f64 (pow.f64 (*.f64 2/3 (pow.f64 x 3)) 3))
(expm1.f64 (log1p.f64 (*.f64 2/3 (pow.f64 x 3))))
(exp.f64 (log.f64 (*.f64 2/3 (pow.f64 x 3))))
(exp.f64 (.f64 (log.f64 (.f64 2/3 (pow.f64 x 3))) 1))
(log1p.f64 (expm1.f64 (*.f64 2/3 (pow.f64 x 3))))
(-.f64 (+.f64 1 (*.f64 2/3 (pow.f64 x 3))) 1)
(pow.f64 (*.f64 2/3 (pow.f64 x 3)) 1)
(pow.f64 (*.f64 x (cbrt.f64 2/3)) 3)
(pow.f64 (pow.f64 (*.f64 2/3 (pow.f64 x 3)) 3) 1/3)
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 2/3)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 6) 4/9))
(log.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))
(cbrt.f64 (pow.f64 (*.f64 2/3 (pow.f64 x 3)) 3))
(expm1.f64 (log1p.f64 (*.f64 2/3 (pow.f64 x 3))))
(exp.f64 (log.f64 (*.f64 2/3 (pow.f64 x 3))))
(exp.f64 (.f64 (log.f64 (.f64 2/3 (pow.f64 x 3))) 1))
(log1p.f64 (expm1.f64 (*.f64 2/3 (pow.f64 x 3))))
(-.f64 (+.f64 1 (*.f64 2/5 (pow.f64 x 5))) 1)
(pow.f64 (*.f64 2/5 (pow.f64 x 5)) 1)
(pow.f64 (cbrt.f64 (*.f64 2/5 (pow.f64 x 5))) 3)
(pow.f64 (pow.f64 (*.f64 2/5 (pow.f64 x 5)) 3) 1/3)
(pow.f64 (*.f64 (sqrt.f64 2/5) (pow.f64 x 5/2)) 2)
(sqrt.f64 (*.f64 4/25 (pow.f64 x 10)))
(log.f64 (pow.f64 (exp.f64 2/5) (pow.f64 x 5)))
(cbrt.f64 (pow.f64 (*.f64 2/5 (pow.f64 x 5)) 3))
(expm1.f64 (log1p.f64 (*.f64 2/5 (pow.f64 x 5))))
(exp.f64 (log.f64 (*.f64 2/5 (pow.f64 x 5))))
(exp.f64 (.f64 (log.f64 (.f64 2/5 (pow.f64 x 5))) 1))
(log1p.f64 (expm1.f64 (*.f64 2/5 (pow.f64 x 5))))

Outputs
(-.f64 (+.f64 1 (*.f64 2/3 (pow.f64 x 3))) 1)
(+.f64 (+.f64 1 (*.f64 2/3 (pow.f64 x 3))) -1)
(+.f64 (*.f64 2/3 (pow.f64 x 3)) 0)
(*.f64 2/3 (pow.f64 x 3))
(pow.f64 (*.f64 2/3 (pow.f64 x 3)) 1)
(+.f64 (+.f64 1 (*.f64 2/3 (pow.f64 x 3))) -1)
(+.f64 (*.f64 2/3 (pow.f64 x 3)) 0)
(*.f64 2/3 (pow.f64 x 3))
(pow.f64 (*.f64 x (cbrt.f64 2/3)) 3)
(+.f64 (+.f64 1 (*.f64 2/3 (pow.f64 x 3))) -1)
(+.f64 (*.f64 2/3 (pow.f64 x 3)) 0)
(*.f64 2/3 (pow.f64 x 3))
(pow.f64 (pow.f64 (*.f64 2/3 (pow.f64 x 3)) 3) 1/3)
(+.f64 (+.f64 1 (*.f64 2/3 (pow.f64 x 3))) -1)
(+.f64 (*.f64 2/3 (pow.f64 x 3)) 0)
(*.f64 2/3 (pow.f64 x 3))
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 2/3)) 2)
(+.f64 (+.f64 1 (*.f64 2/3 (pow.f64 x 3))) -1)
(+.f64 (*.f64 2/3 (pow.f64 x 3)) 0)
(*.f64 2/3 (pow.f64 x 3))
(sqrt.f64 (*.f64 (pow.f64 x 6) 4/9))
(+.f64 (+.f64 1 (*.f64 2/3 (pow.f64 x 3))) -1)
(+.f64 (*.f64 2/3 (pow.f64 x 3)) 0)
(*.f64 2/3 (pow.f64 x 3))
(log.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))
(+.f64 (+.f64 1 (*.f64 2/3 (pow.f64 x 3))) -1)
(+.f64 (*.f64 2/3 (pow.f64 x 3)) 0)
(*.f64 2/3 (pow.f64 x 3))
(cbrt.f64 (pow.f64 (*.f64 2/3 (pow.f64 x 3)) 3))
(+.f64 (+.f64 1 (*.f64 2/3 (pow.f64 x 3))) -1)
(+.f64 (*.f64 2/3 (pow.f64 x 3)) 0)
(*.f64 2/3 (pow.f64 x 3))
(expm1.f64 (log1p.f64 (*.f64 2/3 (pow.f64 x 3))))
(+.f64 (+.f64 1 (*.f64 2/3 (pow.f64 x 3))) -1)
(+.f64 (*.f64 2/3 (pow.f64 x 3)) 0)
(*.f64 2/3 (pow.f64 x 3))
(exp.f64 (log.f64 (*.f64 2/3 (pow.f64 x 3))))
(+.f64 (+.f64 1 (*.f64 2/3 (pow.f64 x 3))) -1)
(+.f64 (*.f64 2/3 (pow.f64 x 3)) 0)
(*.f64 2/3 (pow.f64 x 3))
(exp.f64 (.f64 (log.f64 (.f64 2/3 (pow.f64 x 3))) 1))
(+.f64 (+.f64 1 (*.f64 2/3 (pow.f64 x 3))) -1)
(+.f64 (*.f64 2/3 (pow.f64 x 3)) 0)
(*.f64 2/3 (pow.f64 x 3))
(log1p.f64 (expm1.f64 (*.f64 2/3 (pow.f64 x 3))))
(+.f64 (+.f64 1 (*.f64 2/3 (pow.f64 x 3))) -1)
(+.f64 (*.f64 2/3 (pow.f64 x 3)) 0)
(*.f64 2/3 (pow.f64 x 3))
(-.f64 (+.f64 1 (*.f64 2/3 (pow.f64 x 3))) 1)
(+.f64 (+.f64 1 (*.f64 2/3 (pow.f64 x 3))) -1)
(+.f64 (*.f64 2/3 (pow.f64 x 3)) 0)
(*.f64 2/3 (pow.f64 x 3))
(pow.f64 (*.f64 2/3 (pow.f64 x 3)) 1)
(+.f64 (+.f64 1 (*.f64 2/3 (pow.f64 x 3))) -1)
(+.f64 (*.f64 2/3 (pow.f64 x 3)) 0)
(*.f64 2/3 (pow.f64 x 3))
(pow.f64 (*.f64 x (cbrt.f64 2/3)) 3)
(+.f64 (+.f64 1 (*.f64 2/3 (pow.f64 x 3))) -1)
(+.f64 (*.f64 2/3 (pow.f64 x 3)) 0)
(*.f64 2/3 (pow.f64 x 3))
(pow.f64 (pow.f64 (*.f64 2/3 (pow.f64 x 3)) 3) 1/3)
(+.f64 (+.f64 1 (*.f64 2/3 (pow.f64 x 3))) -1)
(+.f64 (*.f64 2/3 (pow.f64 x 3)) 0)
(*.f64 2/3 (pow.f64 x 3))
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 2/3)) 2)
(+.f64 (+.f64 1 (*.f64 2/3 (pow.f64 x 3))) -1)
(+.f64 (*.f64 2/3 (pow.f64 x 3)) 0)
(*.f64 2/3 (pow.f64 x 3))
(sqrt.f64 (*.f64 (pow.f64 x 6) 4/9))
(+.f64 (+.f64 1 (*.f64 2/3 (pow.f64 x 3))) -1)
(+.f64 (*.f64 2/3 (pow.f64 x 3)) 0)
(*.f64 2/3 (pow.f64 x 3))
(log.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))
(+.f64 (+.f64 1 (*.f64 2/3 (pow.f64 x 3))) -1)
(+.f64 (*.f64 2/3 (pow.f64 x 3)) 0)
(*.f64 2/3 (pow.f64 x 3))
(cbrt.f64 (pow.f64 (*.f64 2/3 (pow.f64 x 3)) 3))
(+.f64 (+.f64 1 (*.f64 2/3 (pow.f64 x 3))) -1)
(+.f64 (*.f64 2/3 (pow.f64 x 3)) 0)
(*.f64 2/3 (pow.f64 x 3))
(expm1.f64 (log1p.f64 (*.f64 2/3 (pow.f64 x 3))))
(+.f64 (+.f64 1 (*.f64 2/3 (pow.f64 x 3))) -1)
(+.f64 (*.f64 2/3 (pow.f64 x 3)) 0)
(*.f64 2/3 (pow.f64 x 3))
(exp.f64 (log.f64 (*.f64 2/3 (pow.f64 x 3))))
(+.f64 (+.f64 1 (*.f64 2/3 (pow.f64 x 3))) -1)
(+.f64 (*.f64 2/3 (pow.f64 x 3)) 0)
(*.f64 2/3 (pow.f64 x 3))
(exp.f64 (.f64 (log.f64 (.f64 2/3 (pow.f64 x 3))) 1))
(+.f64 (+.f64 1 (*.f64 2/3 (pow.f64 x 3))) -1)
(+.f64 (*.f64 2/3 (pow.f64 x 3)) 0)
(*.f64 2/3 (pow.f64 x 3))
(log1p.f64 (expm1.f64 (*.f64 2/3 (pow.f64 x 3))))
(+.f64 (+.f64 1 (*.f64 2/3 (pow.f64 x 3))) -1)
(+.f64 (*.f64 2/3 (pow.f64 x 3)) 0)
(*.f64 2/3 (pow.f64 x 3))
(-.f64 (+.f64 1 (*.f64 2/5 (pow.f64 x 5))) 1)
(+.f64 1 (-.f64 (*.f64 2/5 (pow.f64 x 5)) 1))
(+.f64 (*.f64 2/5 (pow.f64 x 5)) 0)
(*.f64 2/5 (pow.f64 x 5))
(pow.f64 (*.f64 2/5 (pow.f64 x 5)) 1)
(+.f64 1 (-.f64 (*.f64 2/5 (pow.f64 x 5)) 1))
(+.f64 (*.f64 2/5 (pow.f64 x 5)) 0)
(*.f64 2/5 (pow.f64 x 5))
(pow.f64 (cbrt.f64 (*.f64 2/5 (pow.f64 x 5))) 3)
(+.f64 1 (-.f64 (*.f64 2/5 (pow.f64 x 5)) 1))
(+.f64 (*.f64 2/5 (pow.f64 x 5)) 0)
(*.f64 2/5 (pow.f64 x 5))
(pow.f64 (pow.f64 (*.f64 2/5 (pow.f64 x 5)) 3) 1/3)
(+.f64 1 (-.f64 (*.f64 2/5 (pow.f64 x 5)) 1))
(+.f64 (*.f64 2/5 (pow.f64 x 5)) 0)
(*.f64 2/5 (pow.f64 x 5))
(pow.f64 (*.f64 (sqrt.f64 2/5) (pow.f64 x 5/2)) 2)
(+.f64 1 (-.f64 (*.f64 2/5 (pow.f64 x 5)) 1))
(+.f64 (*.f64 2/5 (pow.f64 x 5)) 0)
(*.f64 2/5 (pow.f64 x 5))
(sqrt.f64 (*.f64 4/25 (pow.f64 x 10)))
(+.f64 1 (-.f64 (*.f64 2/5 (pow.f64 x 5)) 1))
(+.f64 (*.f64 2/5 (pow.f64 x 5)) 0)
(*.f64 2/5 (pow.f64 x 5))
(log.f64 (pow.f64 (exp.f64 2/5) (pow.f64 x 5)))
(+.f64 1 (-.f64 (*.f64 2/5 (pow.f64 x 5)) 1))
(+.f64 (*.f64 2/5 (pow.f64 x 5)) 0)
(*.f64 2/5 (pow.f64 x 5))
(cbrt.f64 (pow.f64 (*.f64 2/5 (pow.f64 x 5)) 3))
(+.f64 1 (-.f64 (*.f64 2/5 (pow.f64 x 5)) 1))
(+.f64 (*.f64 2/5 (pow.f64 x 5)) 0)
(*.f64 2/5 (pow.f64 x 5))
(expm1.f64 (log1p.f64 (*.f64 2/5 (pow.f64 x 5))))
(+.f64 1 (-.f64 (*.f64 2/5 (pow.f64 x 5)) 1))
(+.f64 (*.f64 2/5 (pow.f64 x 5)) 0)
(*.f64 2/5 (pow.f64 x 5))
(exp.f64 (log.f64 (*.f64 2/5 (pow.f64 x 5))))
(+.f64 1 (-.f64 (*.f64 2/5 (pow.f64 x 5)) 1))
(+.f64 (*.f64 2/5 (pow.f64 x 5)) 0)
(*.f64 2/5 (pow.f64 x 5))
(exp.f64 (.f64 (log.f64 (.f64 2/5 (pow.f64 x 5))) 1))
(+.f64 1 (-.f64 (*.f64 2/5 (pow.f64 x 5)) 1))
(+.f64 (*.f64 2/5 (pow.f64 x 5)) 0)
(*.f64 2/5 (pow.f64 x 5))
(log1p.f64 (expm1.f64 (*.f64 2/5 (pow.f64 x 5))))
(+.f64 1 (-.f64 (*.f64 2/5 (pow.f64 x 5)) 1))
(+.f64 (*.f64 2/5 (pow.f64 x 5)) 0)
(*.f64 2/5 (pow.f64 x 5))

eval19.0ms (0.3%)

Compiler: Compiled 786 to 666 computations (15.3% saved)

prune8.0ms (0.1%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	45	0	45
Fresh	0	0	0
Picked	0	3	3
Done	0	2	2
Total	45	5	50

Accurracy

100.0%

Counts

50 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
✓	100.0%	(.f64 1/2 (+.f64 (.f64 2 x) (+.f64 (.f64 2/3 (pow.f64 x 3)) (.f64 2/5 (pow.f64 x 5)))))
✓	100.0%	(.f64 1/2 (+.f64 (.f64 2 x) (*.f64 2/3 (pow.f64 x 3))))
✓	99.8%	(.f64 1/2 (.f64 2 x))
✓	6.7%	(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))

Compiler

Compiled 120 to 98 computations (18.3% saved)

regimes20.0ms (0.3%)

Counts

6 → 1

Calls

Call 1

Inputs
(.f64 1/2 (.f64 2 x))
(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(.f64 1/2 (+.f64 (.f64 2 x) (*.f64 2/3 (pow.f64 x 3))))
(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(.f64 1/2 (+.f64 (.f64 2 x) (+.f64 (.f64 2/3 (pow.f64 x 3)) (.f64 2/5 (pow.f64 x 5)))))

Outputs
(.f64 1/2 (+.f64 (.f64 2 x) (+.f64 (.f64 2/3 (pow.f64 x 3)) (.f64 2/5 (pow.f64 x 5)))))

Calls

4 calls:

10.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
4.0ms	x
2.0ms	(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
2.0ms	(/.f64 (+.f64 1 x) (-.f64 1 x))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))`
100.0%	1	`(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))`
100.0%	1	`(/.f64 (+.f64 1 x) (-.f64 1 x))`

Compiler

Compiled 96 to 77 computations (19.8% saved)

regimes12.0ms (0.2%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

4 calls:

5.0ms	x
2.0ms	(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
2.0ms	(/.f64 (+.f64 1 x) (-.f64 1 x))
2.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))`
100.0%	1	`(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))`
100.0%	1	`(/.f64 (+.f64 1 x) (-.f64 1 x))`

Compiler

Compiled 79 to 63 computations (20.3% saved)

regimes11.0ms (0.2%)

Counts

4 → 1

Calls

Call 1

Inputs
(.f64 1/2 (.f64 2 x))
(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(.f64 1/2 (+.f64 (.f64 2 x) (*.f64 2/3 (pow.f64 x 3))))
(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))

Outputs
(.f64 1/2 (+.f64 (.f64 2 x) (*.f64 2/3 (pow.f64 x 3))))

Calls

4 calls:

3.0ms	x
2.0ms	(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
2.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
2.0ms	(/.f64 (+.f64 1 x) (-.f64 1 x))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))`
100.0%	1	`(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))`
100.0%	1	`(/.f64 (+.f64 1 x) (-.f64 1 x))`

Compiler

Compiled 71 to 57 computations (19.7% saved)

regimes9.0ms (0.2%)

Accuracy

Total -59.6b remaining (-44246.3%)

Threshold costs -59.6b (-44246.3%)

Counts

2 → 1

Calls

Call 1

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

Outputs
(.f64 1/2 (.f64 2 x))

Calls

3 calls:

5.0ms	x
2.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
2.0ms	(/.f64 (+.f64 1 x) (-.f64 1 x))

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))`
99.8%	1	`(/.f64 (+.f64 1 x) (-.f64 1 x))`

Compiler

Compiled 35 to 27 computations (22.9% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

18×	`*-commutative`
12×	`+-commutative`
6×	`sub-neg`
4×	`neg-mul-1`
4×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	118
1	42	118
2	47	118
3	50	118
4	51	118

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(.f64 1/2 (+.f64 (.f64 2 x) (+.f64 (.f64 2/3 (pow.f64 x 3)) (.f64 2/5 (pow.f64 x 5)))))
(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(.f64 1/2 (+.f64 (.f64 2 x) (*.f64 2/3 (pow.f64 x 3))))
(.f64 1/2 (.f64 2 x))

Outputs
(.f64 1/2 (+.f64 (.f64 2 x) (+.f64 (.f64 2/3 (pow.f64 x 3)) (.f64 2/5 (pow.f64 x 5)))))
(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(.f64 1/2 (+.f64 (.f64 2 x) (*.f64 2/3 (pow.f64 x 3))))
(.f64 1/2 (.f64 2 x))

Compiler

Compiled 45 to 37 computations (17.8% saved)

soundness1.1s (19.4%)

Rules

1866×	`fma-def`
1866×	`fma-def`
1222×	`distribute-lft-in`
1222×	`distribute-lft-in`
986×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	29
1	22	25
2	30	25
3	46	25
4	74	25
5	110	25
6	154	25
7	273	25
8	590	25
9	1066	25
10	1508	25
11	1900	25
12	2090	25
13	2224	25
14	2666	25
15	3870	25
16	5191	25
17	5995	25
18	6289	25
19	6414	25
20	6534	25
21	6592	25
22	7016	25
23	7272	25
24	7573	25
25	7709	25
26	7757	25
27	7777	25
28	7785	25
29	7785	25
30	7785	25
0	13	29
1	22	25
2	30	25
3	46	25
4	74	25
5	110	25
6	154	25
7	273	25
8	590	25
9	1066	25
10	1508	25
11	1900	25
12	2090	25
13	2224	25
14	2666	25
15	3870	25
16	5191	25
17	5995	25
18	6289	25
19	6414	25
20	6534	25
21	6592	25
22	7016	25
23	7272	25
24	7573	25
25	7709	25
26	7757	25
27	7777	25
28	7785	25
29	7785	25
30	7785	25

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 84 to 65 computations (22.6% saved)

end0.0ms (0%)

preprocess75.0ms (1.3%)

Compiler: Compiled 110 to 90 computations (18.2% saved)

analyze6.0ms (0.1%)

sample2.9s (50.6%)

preprocess312.0ms (5.4%)

simplify349.0ms (6.1%)

eval1.0ms (0%)

prune2.0ms (0%)

localize313.0ms (5.5%)

series4.0ms (0.1%)

rewrite153.0ms (2.7%)

simplify96.0ms (1.7%)

eval31.0ms (0.5%)

prune17.0ms (0.3%)

localize159.0ms (2.8%)

series6.0ms (0.1%)

rewrite60.0ms (1.1%)

simplify50.0ms (0.9%)

eval19.0ms (0.3%)

prune8.0ms (0.1%)

regimes20.0ms (0.3%)

regimes12.0ms (0.2%)

regimes11.0ms (0.2%)

regimes9.0ms (0.2%)

simplify7.0ms (0.1%)

soundness1.1s (19.4%)

end0.0ms (0%)

preprocess75.0ms (1.3%)

Profiling