Metrics for ln(1 + x)

analyze1.0ms (0%)

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
50%	50%	50%	0%	0%	0%	0%	2
66.7%	50%	25%	0%	0%	25%	0%	3
83.3%	62.5%	12.5%	0%	0%	25%	0%	4
91.7%	68.7%	6.2%	0%	0%	25%	0%	5
95.8%	71.8%	3.1%	0%	0%	25%	0%	6
97.9%	73.4%	1.6%	0%	0%	25%	0%	7
99%	74.2%	0.8%	0%	0%	25%	0%	8
99.5%	74.6%	0.4%	0%	0%	25%	0%	9
99.7%	74.8%	0.2%	0%	0%	25%	0%	10
99.9%	74.9%	0.1%	0%	0%	25%	0%	11
99.9%	74.9%	0%	0%	0%	25%	0%	12

Compiler

Compiled 6 to 5 computations (16.7% saved)

sample2.3s (76.2%)

Results

1.3s	2650×	body	1024	valid
507.0ms	3952×	body	256	valid
320.0ms	1397×	body	512	valid
138.0ms	257×	body	2048	valid
0.0ms	1×	body	256	invalid

Bogosity

preprocess104.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

14×	`sub-neg`
12×	`fma-def`
10×	`+-commutative`
8×	`associate-+l-`
6×	`associate-+l+`

Problems

155×	`(log.f64 (+.f64 1 x))`
101×	No Errors

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	28
1	22	28
2	29	28
3	37	28
4	47	28
5	61	28
6	77	28
7	81	28

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)))

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))

Compiler

Compiled 16 to 12 computations (25% saved)

eval0.0ms (0%)

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

prune2.0ms (0.1%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(log1p.f64 x)
▶	44.5%	(log.f64 (+.f64 1 x))
▶	100.0%	(log1p.f64 x)
▶	44.5%	(log.f64 (+.f64 1 x))

Compiler

Compiled 16 to 12 computations (25% saved)

localize103.0ms (3.4%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	100.0%	(log1p.f64 x)
✓	44.5%	(log.f64 (+.f64 1 x))

Compiler

Compiled 14 to 9 computations (35.7% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite105.0ms (3.5%)

Algorithm

1×	batch-egg-rewrite

Rules

928×	`frac-times`
394×	`unpow-prod-down`
316×	`log1p-expm1-u`
315×	`expm1-log1p-u`
300×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	16
1	74	16
2	865	16

Stop Event

1×	node limit

Counts

2 → 104

Calls

Call 1

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

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

simplify82.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

1348×	`log-prod`
826×	`fma-neg`
774×	`cube-prod`
690×	`associate-+l+`
664×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	184	3406
1	426	3166
2	1562	3094
3	5852	3094

Stop Event

1×	node limit

Counts

128 → 102

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

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

eval29.0ms (1%)

Compiler: Compiled 1095 to 766 computations (30% saved)

prune16.0ms (0.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	100	2	102
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	101	3	104

Accuracy

100.0%

Counts

104 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(log1p.f64 x)
▶	38.8%	(log.f64 x)
	61.5%	x
✓	100.0%	(log1p.f64 x)
▶	38.8%	(log.f64 x)
	61.5%	x

Compiler

Compiled 16 to 10 computations (37.5% saved)

localize20.0ms (0.7%)

Compiler: Compiled 5 to 3 computations (40% saved)

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	1	1
Done	1	1
Total	3	3

Accuracy

100.0%

Counts

3 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(log1p.f64 x)
✓	38.8%	(log.f64 x)
	61.5%	x
✓	100.0%	(log1p.f64 x)
✓	38.8%	(log.f64 x)
	61.5%	x

Compiler

Compiled 16 to 10 computations (37.5% 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
✓	100.0%	(log1p.f64 x)
✓	38.8%	(log.f64 x)
	61.5%	x
✓	100.0%	(log1p.f64 x)
✓	38.8%	(log.f64 x)
	61.5%	x

Compiler

Compiled 16 to 10 computations (37.5% 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
✓	100.0%	(log1p.f64 x)
✓	38.8%	(log.f64 x)
	61.5%	x

Compiler

Compiled 18 to 11 computations (38.9% saved)

regimes15.0ms (0.5%)

Counts

4 → 1

Calls

Call 1

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

Outputs
(log1p.f64 x)

Calls

3 calls:

9.0ms	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 21 to 14 computations (33.3% saved)

regimes6.0ms (0.2%)

Counts

2 → 2

Calls

Call 1

Inputs
x
(log.f64 x)

Outputs
x
(log.f64 x)

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
97.5%	2	`x`

Compiler

Compiled 6 to 3 computations (50% saved)

regimes3.0ms (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
61.5%	1	`x`

Compiler

Compiled 4 to 2 computations (50% saved)

bsearch20.0ms (0.7%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
20.0ms	1.035905262336001e-11	18.005396962271693

Results

19.0ms

160×

body

256

valid

Compiler

Compiled 79 to 57 computations (27.8% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	36

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(log1p.f64 x)
(if (<=.f64 x 4165829655317709/2251799813685248) x (log.f64 x))
x

Outputs
(log1p.f64 x)
(if (<=.f64 x 4165829655317709/2251799813685248) x (log.f64 x))
x

Compiler

Compiled 13 to 8 computations (38.5% saved)

soundness153.0ms (5.1%)

Rules

1348×	`log-prod`
826×	`fma-neg`
774×	`cube-prod`
690×	`associate-+l+`
664×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	28
1	22	28
2	29	28
3	37	28
4	47	28
5	61	28
6	77	28
7	81	28
0	184	3406
1	426	3166
2	1562	3094
3	5852	3094

Stop Event

1×	node limit
1×	saturated

Compiler

Compiled 25 to 18 computations (28% saved)

end0.0ms (0%)

preprocess46.0ms (1.5%)

Compiler: Compiled 72 to 50 computations (30.6% saved)

analyze1.0ms (0%)

sample2.3s (76.2%)

preprocess104.0ms (3.5%)

eval0.0ms (0%)

prune2.0ms (0.1%)

localize103.0ms (3.4%)

series1.0ms (0%)

rewrite105.0ms (3.5%)

simplify82.0ms (2.7%)

eval29.0ms (1%)

prune16.0ms (0.5%)

localize20.0ms (0.7%)

eval0.0ms (0%)

prune2.0ms (0.1%)

localize0.0ms (0%)

eval0.0ms (0%)

prune2.0ms (0.1%)

localize0.0ms (0%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes15.0ms (0.5%)

regimes6.0ms (0.2%)

regimes3.0ms (0.1%)

bsearch20.0ms (0.7%)

simplify2.0ms (0.1%)

soundness153.0ms (5.1%)

end0.0ms (0%)

preprocess46.0ms (1.5%)

Profiling