Metrics for ln(1 + x)

analyze2.0ms (0.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
33.3%	25%	50%	0%	0%	25%	0%	3
66.7%	50%	25%	0%	0%	25%	0%	4
83.3%	62.5%	12.5%	0%	0%	25%	0%	5
91.7%	68.7%	6.2%	0%	0%	25%	0%	6
95.8%	71.8%	3.1%	0%	0%	25%	0%	7
97.9%	73.4%	1.6%	0%	0%	25%	0%	8
99%	74.2%	0.8%	0%	0%	25%	0%	9
99.5%	74.6%	0.4%	0%	0%	25%	0%	10
99.7%	74.8%	0.2%	0%	0%	25%	0%	11
99.9%	74.9%	0.1%	0%	0%	25%	0%	12

Compiler

Compiled 6 to 5 computations (16.7% saved)

sample2.6s (72.3%)

Results

1.2s	2690×	body	1024	valid
673.0ms	3915×	body	256	valid
540.0ms	1388×	body	512	valid
133.0ms	263×	body	2048	valid
0.0ms	1×	body	256	invalid

Bogosity

preprocess107.0ms (3%)

Algorithm

1×	egg-herbie

Rules

104×	`fma-def`
42×	`sub-neg`
22×	`cancel-sign-sub-inv`
20×	`associate-+l-`
18×	`distribute-lft-neg-in`

Problems

174×	`(log.f64 (+.f64 1 x))`
82×	No Errors

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	44
1	25	44
2	34	44
3	43	44
4	57	44
5	74	44
6	107	44
7	142	44
8	160	44
9	183	44
10	197	44
11	232	44
12	247	44
13	252	44
14	253	44

Stop Event

1×

saturated

Calls

Call 1

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

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

Compiler

Compiled 16 to 12 computations (25% saved)

eval0.0ms (0%)

Compiler: Compiled 3 to 2 computations (33.3% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(log1p.f64 x)
▶	100.0%	(log1p.f64 x)

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize16.0ms (0.4%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	100.0%	(log1p.f64 x)

Compiler

Compiled 5 to 3 computations (40% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(log1p.f64 x)
0.0ms	x	@	0	(log1p.f64 x)
0.0ms	x	@	inf	(log1p.f64 x)

rewrite139.0ms (3.9%)

Algorithm

1×	batch-egg-rewrite

Rules

872×	`log1p-expm1-u`
872×	`expm1-log1p-u`
486×	`expm1-udef`
486×	`log1p-udef`
356×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	44	8
2	420	8
3	4538	8

Stop Event

1×	node limit

Counts

1 → 49

Calls

Call 1

Inputs
(log1p.f64 x)

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

simplify56.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1324×	`fma-def`
836×	`associate-+r-`
606×	`times-frac`
562×	`log-prod`
510×	`fma-neg`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	174	1453
1	417	1358
2	1211	1343
3	4854	1283

Stop Event

1×	node limit

Counts

61 → 96

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))))
(+.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 -1 (log.f64 (/.f64 1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 x))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 x)) (.f64 1/2 (/.f64 1 (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 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (/.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 (+.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 (+.f64 (log1p.f64 x) 1) -1)
(+.f64 0 (log1p.f64 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (log.f64 (cbrt.f64 (+.f64 x 1))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) (log.f64 (sqrt.f64 (+.f64 x 1))))
(-.f64 (+.f64 (log1p.f64 x) 1) 1)
(-.f64 (log1p.f64 (pow.f64 x 3)) (log1p.f64 (-.f64 (pow.f64 x 2) x)))
(-.f64 (log.f64 (-.f64 1 (pow.f64 x 2))) (log.f64 (-.f64 1 x)))
(*.f64 (log1p.f64 x) 1)
(*.f64 (log1p.f64 x) (log.f64 (E.f64)))
(*.f64 1 (log1p.f64 x))
(*.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 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 x))) 2) (.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)))
(.f64 (pow.f64 (log1p.f64 x) 1/6) (.f64 (pow.f64 (log1p.f64 x) 1/6) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 4)) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 x))) 2) (cbrt.f64 (log1p.f64 x))))
(*.f64 (pow.f64 (log1p.f64 x) 1/4) (sqrt.f64 (pow.f64 (log1p.f64 x) 3/2)))
(.f64 (pow.f64 (log1p.f64 x) 1/4) (.f64 (pow.f64 (log1p.f64 x) 1/4) (sqrt.f64 (log1p.f64 x))))
(.f64 (.f64 (sqrt.f64 (log1p.f64 x)) (cbrt.f64 (log1p.f64 x))) (pow.f64 (log1p.f64 x) 1/6))
(*.f64 (pow.f64 1 1/3) (log1p.f64 x))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 4) 2) 1/3) (cbrt.f64 (cbrt.f64 (log1p.f64 x))))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 x) 5/2) 1/3) (pow.f64 (log1p.f64 x) 1/6))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 4) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 5/2)) (pow.f64 (log1p.f64 x) 1/6))
(.f64 (.f64 (sqrt.f64 (log1p.f64 x)) (pow.f64 (log1p.f64 x) 1/4)) (pow.f64 (log1p.f64 x) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (log1p.f64 x) 3/2)) (pow.f64 (log1p.f64 x) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 5)) (pow.f64 (log1p.f64 x) 1/6))
(.f64 (.f64 (cbrt.f64 (log1p.f64 x)) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 x))) 2))
(.f64 (.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 x))) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 x))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (pow.f64 (log1p.f64 x) 1/6)) (pow.f64 (log1p.f64 x) 1/6))
(/.f64 (-.f64 (pow.f64 (+.f64 (log1p.f64 x) 1) 3) 1) (+.f64 (*.f64 (+.f64 (log1p.f64 x) 1) (+.f64 (log1p.f64 x) 1)) (+.f64 1 (+.f64 (log1p.f64 x) 1))))
(/.f64 (-.f64 (*.f64 (+.f64 (log1p.f64 x) 1) (+.f64 (log1p.f64 x) 1)) 1) (+.f64 (+.f64 (log1p.f64 x) 1) 1))
(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)
(pow.f64 (E.f64) (log.f64 (log1p.f64 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log1p.f64 x))) 2)) (cbrt.f64 (log.f64 (log1p.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log1p.f64 x)))) (sqrt.f64 (log.f64 (log1p.f64 x))))
(sqrt.f64 (pow.f64 (log1p.f64 x) 2))
(fabs.f64 (log1p.f64 x))
(log.f64 (+.f64 x 1))
(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 (cbrt.f64 (log1p.f64 x))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log1p.f64 x) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 x))) 2))

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

eval49.0ms (1.4%)

Compiler: Compiled 1072 to 661 computations (38.3% saved)

prune14.0ms (0.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	94	2	96
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	94	3	97

Accuracy

100.0%

Counts

97 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	68.7%	(-.f64 (log1p.f64 (neg.f64 (pow.f64 x 2))) (log1p.f64 (neg.f64 x)))
✓	100.0%	(log1p.f64 x)
	68.0%	x
▶	68.7%	(-.f64 (log1p.f64 (neg.f64 (pow.f64 x 2))) (log1p.f64 (neg.f64 x)))
✓	100.0%	(log1p.f64 x)
	68.0%	x

Compiler

Compiled 30 to 22 computations (26.7% saved)

localize53.0ms (1.5%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	100.0%	(log1p.f64 (neg.f64 (pow.f64 x 2)))
✓	100.0%	(-.f64 (log1p.f64 (neg.f64 (pow.f64 x 2))) (log1p.f64 (neg.f64 x)))

Compiler

Compiled 30 to 19 computations (36.7% saved)

series3.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(log1p.f64 (neg.f64 (pow.f64 x 2)))
0.0ms	x	@	inf	(log1p.f64 (neg.f64 (pow.f64 x 2)))
0.0ms	x	@	0	(-.f64 (log1p.f64 (neg.f64 (pow.f64 x 2))) (log1p.f64 (neg.f64 x)))
0.0ms	x	@	inf	(-.f64 (log1p.f64 (neg.f64 (pow.f64 x 2))) (log1p.f64 (neg.f64 x)))
0.0ms	x	@	-inf	(log1p.f64 (neg.f64 (pow.f64 x 2)))

rewrite99.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1392×	`prod-diff`
806×	`unpow-prod-down`
518×	`fma-def`
474×	`log1p-expm1-u`
474×	`expm1-log1p-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	53
1	162	22
2	2074	22

Stop Event

1×	node limit

Counts

2 → 142

Calls

Call 1

Inputs
(-.f64 (log1p.f64 (neg.f64 (pow.f64 x 2))) (log1p.f64 (neg.f64 x)))
(log1p.f64 (neg.f64 (pow.f64 x 2)))

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

simplify176.0ms (4.9%)

Algorithm

1×	egg-herbie

Rules

1068×	`unswap-sqr`
798×	`distribute-lft-in`
794×	`fma-neg`
610×	`times-frac`
446×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	375	10931
1	935	8277
2	3022	6188

Stop Event

1×	node limit

Counts

166 → 263

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

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

eval152.0ms (4.3%)

Compiler: Compiled 5844 to 3904 computations (33.2% saved)

prune36.0ms (1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	263	0	263
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	263	3	266

Accuracy

100.0%

Counts

266 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	68.7%	(-.f64 (log1p.f64 (neg.f64 (pow.f64 x 2))) (log1p.f64 (neg.f64 x)))
✓	100.0%	(log1p.f64 x)
	68.0%	x
✓	68.7%	(-.f64 (log1p.f64 (neg.f64 (pow.f64 x 2))) (log1p.f64 (neg.f64 x)))
✓	100.0%	(log1p.f64 x)
	68.0%	x

Compiler

Compiled 30 to 22 computations (26.7% saved)

localize0.0ms (0%)

eval2.0ms (0.1%)

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

prune2.0ms (0.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

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

Accuracy

100.0%

Counts

3 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	68.7%	(-.f64 (log1p.f64 (neg.f64 (pow.f64 x 2))) (log1p.f64 (neg.f64 x)))
✓	100.0%	(log1p.f64 x)
	68.0%	x
✓	68.7%	(-.f64 (log1p.f64 (neg.f64 (pow.f64 x 2))) (log1p.f64 (neg.f64 x)))
✓	100.0%	(log1p.f64 x)
	68.0%	x

Compiler

Compiled 30 to 22 computations (26.7% saved)

localize0.0ms (0%)

eval0.0ms (0%)

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

prune2.0ms (0.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

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

Accuracy

100.0%

Counts

3 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	68.7%	(-.f64 (log1p.f64 (neg.f64 (pow.f64 x 2))) (log1p.f64 (neg.f64 x)))
✓	100.0%	(log1p.f64 x)
	68.0%	x

Compiler

Compiled 32 to 23 computations (28.1% saved)

regimes9.0ms (0.3%)

Counts

4 → 1

Calls

Call 1

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

Outputs
(log1p.f64 x)

Calls

3 calls:

4.0ms	x
2.0ms	(log.f64 (+.f64 1 x))
2.0ms	(+.f64 1 x)

Results

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

Compiler

Compiled 28 to 20 computations (28.6% saved)

regimes4.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
68.0%	1	`x`

Compiler

Compiled 4 to 2 computations (50% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	12

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(log1p.f64 x)
x

Outputs
(log1p.f64 x)
x

Compiler

Compiled 5 to 3 computations (40% saved)

soundness18.0ms (0.5%)

Rules

104×	`fma-def`
42×	`sub-neg`
22×	`cancel-sign-sub-inv`
20×	`associate-+l-`
18×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	44
1	25	44
2	34	44
3	43	44
4	57	44
5	74	44
6	107	44
7	142	44
8	160	44
9	183	44
10	197	44
11	232	44
12	247	44
13	252	44
14	253	44

Stop Event

1×

saturated

Compiler

Compiled 7 to 5 computations (28.6% saved)

end0.0ms (0%)

preprocess46.0ms (1.3%)

Compiler: Compiled 58 to 42 computations (27.6% saved)

Iter	Nodes	Cost
0	13	44
1	25	44
2	34	44
3	43	44
4	57	44
5	74	44
6	107	44
7	142	44
8	160	44
9	183	44
10	197	44
11	232	44
12	247	44
13	252	44
14	253	44

Iter	Nodes	Cost
0	13	44
1	25	44
2	34	44
3	43	44
4	57	44
5	74	44
6	107	44
7	142	44
8	160	44
9	183	44
10	197	44
11	232	44
12	247	44
13	252	44
14	253	44

Iter	Nodes	Cost
0	13	44
1	25	44
2	34	44
3	43	44
4	57	44
5	74	44
6	107	44
7	142	44
8	160	44
9	183	44
10	197	44
11	232	44
12	247	44
13	252	44
14	253	44

Iter	Nodes	Cost
0	13	44
1	25	44
2	34	44
3	43	44
4	57	44
5	74	44
6	107	44
7	142	44
8	160	44
9	183	44
10	197	44
11	232	44
12	247	44
13	252	44
14	253	44

analyze2.0ms (0.1%)

sample2.6s (72.3%)

preprocess107.0ms (3%)

eval0.0ms (0%)

prune1.0ms (0%)

localize16.0ms (0.4%)

series1.0ms (0%)

rewrite139.0ms (3.9%)

simplify56.0ms (1.6%)

eval49.0ms (1.4%)

prune14.0ms (0.4%)

localize53.0ms (1.5%)

series3.0ms (0.1%)

rewrite99.0ms (2.8%)

simplify176.0ms (4.9%)

eval152.0ms (4.3%)

prune36.0ms (1%)

localize0.0ms (0%)

eval2.0ms (0.1%)

prune2.0ms (0.1%)

localize0.0ms (0%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes9.0ms (0.3%)

regimes4.0ms (0.1%)

simplify2.0ms (0%)

soundness18.0ms (0.5%)

end0.0ms (0%)

preprocess46.0ms (1.3%)

Profiling

Iter	Nodes	Cost
0	13	44
1	25	44
2	34	44
3	43	44
4	57	44
5	74	44
6	107	44
7	142	44
8	160	44
9	183	44
10	197	44
11	232	44
12	247	44
13	252	44
14	253	44

Iter	Nodes	Cost
0	13	44
1	25	44
2	34	44
3	43	44
4	57	44
5	74	44
6	107	44
7	142	44
8	160	44
9	183	44
10	197	44
11	232	44
12	247	44
13	252	44
14	253	44