Metrics for qlog (example 3.10)

analyze501.0ms (6.4%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	50%	50%	0%	0%	0%	0
0%	0%	50%	50%	0%	0%	0%	1
0%	0%	50%	50%	0%	0%	0%	2
0%	0%	50%	50%	0%	0%	0%	3
0%	0%	50%	50%	0%	0%	0%	4
0%	0%	50%	50%	0%	0%	0%	5
6.3%	3.1%	46.8%	50%	0%	0%	0%	6
9.4%	4.7%	45.3%	50%	0%	0%	0%	7
12.5%	6.2%	43.7%	50%	0%	0%	0%	8
13.3%	6.6%	43.3%	50%	0%	0%	0%	9
13.9%	6.9%	43%	50%	0%	0%	0%	10
14.2%	7.1%	42.9%	50%	0%	0%	0%	11
14.3%	7.1%	42.8%	50%	0%	0%	0%	12

Compiler

Compiled 14 to 11 computations (21.4% saved)

sample5.1s (65%)

Results

3.7s	4142×	body	1024	valid
824.0ms	2049×	body	512	valid
322.0ms	1813×	body	256	valid
295.0ms	252×	body	2048	valid

Bogosity

preprocess367.0ms (4.7%)

Algorithm

1×	egg-herbie

Rules

1122×	`unsub-neg`
1000×	`times-frac`
952×	`fma-def`
746×	`associate-/l*`
662×	`sub-neg`

Problems

251×	`(log.f64 (-.f64 1 x))`
5×	`(log.f64 (+.f64 1 x))`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	124
1	35	104
2	54	104
3	92	104
4	141	104
5	193	104
6	233	104
7	287	104
8	394	104
9	633	104
10	1291	104
11	3005	104
12	5337	104
13	7807	104

Stop Event

1×	node limit

Calls

Call 1

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

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

Compiler

Compiled 37 to 28 computations (24.3% saved)

eval0.0ms (0%)

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

prune2.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
▶	3.8%	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
▶	100.0%	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
▶	3.8%	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))

Compiler

Compiled 34 to 26 computations (23.5% saved)

localize887.0ms (11.3%)

Localize:

Found 4 expressions with local error:

New	Accuracy	Program
✓	100.0%	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
✓	100.0%	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
✓	7.9%	(log.f64 (+.f64 1 x))
✓	7.9%	(log.f64 (-.f64 1 x))

Compiler

Compiled 41 to 24 computations (41.5% saved)

series8.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

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

rewrite117.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	74
1	210	58
2	2326	18

Stop Event

1×	node limit

Counts

4 → 106

Calls

Call 1

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

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

simplify105.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1240×	`cancel-sign-sub-inv`
688×	`times-frac`
544×	`fma-neg`
504×	`sub-neg`
484×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	299	8964
1	879	8176
2	3488	7958

Stop Event

1×	node limit

Counts

154 → 199

Calls

Call 1

Inputs
(*.f64 -1 x)
(+.f64 (.f64 -1 x) (.f64 -1/2 (pow.f64 x 2)))
(+.f64 (.f64 -1 x) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/3 (pow.f64 x 3))))
(+.f64 (.f64 -1 x) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (.f64 -1/4 (pow.f64 x 4)))))
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x)))) (/.f64 1 x))
(-.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)))
(-.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))))
(*.f64 -1 (log.f64 (/.f64 -1 x)))
(-.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (/.f64 1 x))
(-.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)))
(-.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))))
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))))
-1
(-.f64 (*.f64 -1 x) 1)
(-.f64 (+.f64 (.f64 -1 x) (.f64 -1/2 (pow.f64 x 2))) 1)
(-.f64 (+.f64 (.f64 -1 x) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3)))) 1)
(.f64 -1 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 x)))) (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 x)))) (log.f64 (/.f64 1 x)))) (/.f64 2 (.f64 x (log.f64 (/.f64 1 x))))) (/.f64 (log.f64 -1) (.f64 x (pow.f64 (log.f64 (/.f64 1 x)) 2))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 x)))) (log.f64 (/.f64 1 x)))) (+.f64 (.f64 2 (/.f64 1 (.f64 x (log.f64 (/.f64 1 x))))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) (log.f64 (/.f64 1 x))))))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 2 (/.f64 1 (log.f64 (/.f64 1 x)))) (/.f64 (log.f64 -1) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (.f64 (pow.f64 x 2) (log.f64 (/.f64 1 x))))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 x)))) (.f64 (pow.f64 x 2) (pow.f64 (log.f64 (/.f64 1 x)) 2)))) (/.f64 (log.f64 -1) (*.f64 x (pow.f64 (log.f64 (/.f64 1 x)) 2))))))
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(-.f64 0 (log.f64 (/.f64 (fma.f64 x (-.f64 x 1) 1) (+.f64 1 (pow.f64 x 3)))))
(-.f64 0 (log.f64 (/.f64 (+.f64 1 x) (pow.f64 (hypot.f64 1 x) 2))))
(-.f64 (log.f64 (neg.f64 (pow.f64 (hypot.f64 1 x) 2))) (log.f64 (neg.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 (fma.f64 x x -1)) (log.f64 (-.f64 x 1)))
(-.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 1 x) 2) 1)) (log1p.f64 x))
(-.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 1 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))) (*.f64 1/3 (log1p.f64 x)))
(-.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 1 x) 2) (sqrt.f64 (+.f64 1 x)))) (*.f64 1/2 (log1p.f64 x)))
(*.f64 1 (log1p.f64 x))
(*.f64 (log1p.f64 x) 1)
(*.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)))
(*.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)))
(.f64 3 (.f64 1/3 (log1p.f64 x)))
(.f64 2 (.f64 1/2 (log1p.f64 x)))
(.f64 1/3 (.f64 3 (log1p.f64 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 x))) 2) 3) (cbrt.f64 (log1p.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 x))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 x))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 x) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 x) 3)) 1/3))
(.f64 (pow.f64 (pow.f64 (.f64 (log1p.f64 x) (cbrt.f64 (log1p.f64 x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (log1p.f64 x))))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 x) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (log1p.f64 x))))
(pow.f64 (log1p.f64 x) 1)
(pow.f64 (cbrt.f64 (log1p.f64 x)) 3)
(pow.f64 (pow.f64 (log1p.f64 x) 2) 1/2)
(pow.f64 (pow.f64 (log1p.f64 x) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 x)) 2)
(neg.f64 (log.f64 (/.f64 (fma.f64 x (-.f64 x 1) 1) (+.f64 1 (pow.f64 x 3)))))
(neg.f64 (log.f64 (/.f64 (+.f64 1 x) (pow.f64 (hypot.f64 1 x) 2))))
(sqrt.f64 (pow.f64 (log1p.f64 x) 2))
(cbrt.f64 (pow.f64 (log1p.f64 x) 3))
(expm1.f64 (log1p.f64 (log1p.f64 x)))
(exp.f64 (log.f64 (log1p.f64 x)))
(exp.f64 (*.f64 (log.f64 (log1p.f64 x)) 1))
(exp.f64 (.f64 (.f64 (log.f64 (log1p.f64 x)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 x))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (log1p.f64 x))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 x))) 2))
(exp.f64 (+.f64 0 (*.f64 (log.f64 (log1p.f64 x)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (log1p.f64 x)) 1) 0))
(log1p.f64 x)
1
1

Outputs
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (.f64 -1 x) (.f64 -1/2 (pow.f64 x 2)))
(fma.f64 -1 x (*.f64 -1/2 (pow.f64 x 2)))
(-.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x))
(+.f64 (.f64 -1 x) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/3 (pow.f64 x 3))))
(fma.f64 -1 x (fma.f64 -1/2 (pow.f64 x 2) (*.f64 -1/3 (pow.f64 x 3))))
(-.f64 (fma.f64 -1/2 (pow.f64 x 2) (*.f64 -1/3 (pow.f64 x 3))) x)
(+.f64 (.f64 -1 x) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (.f64 -1/4 (pow.f64 x 4)))))
(fma.f64 -1 x (fma.f64 -1/2 (pow.f64 x 2) (fma.f64 -1/3 (pow.f64 x 3) (*.f64 -1/4 (pow.f64 x 4)))))
(-.f64 (fma.f64 -1/2 (pow.f64 x 2) (fma.f64 -1/3 (pow.f64 x 3) (*.f64 -1/4 (pow.f64 x 4)))) x)
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 x))))
(+.f64 (log.f64 -1) (log.f64 x))
(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x)))) (/.f64 1 x))
(+.f64 (log.f64 -1) (-.f64 (neg.f64 (neg.f64 (log.f64 x))) (/.f64 1 x)))
(+.f64 (log.f64 x) (-.f64 (log.f64 -1) (/.f64 1 x)))
(+.f64 (log.f64 x) (+.f64 (log.f64 -1) (/.f64 -1 x)))
(-.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)))
(+.f64 (log.f64 -1) (-.f64 (neg.f64 (neg.f64 (log.f64 x))) (+.f64 (/.f64 1 x) (/.f64 1/2 (pow.f64 x 2)))))
(+.f64 (log.f64 x) (-.f64 (log.f64 -1) (+.f64 (/.f64 1 x) (/.f64 1/2 (pow.f64 x 2)))))
(+.f64 (+.f64 (log.f64 x) (+.f64 (log.f64 -1) (/.f64 -1 x))) (/.f64 -1/2 (pow.f64 x 2)))
(-.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))))
(-.f64 (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 x)))) (+.f64 (+.f64 (/.f64 1 x) (/.f64 1/2 (pow.f64 x 2))) (/.f64 1/3 (pow.f64 x 3))))
(+.f64 (log.f64 -1) (-.f64 (log.f64 x) (+.f64 (+.f64 (/.f64 1 x) (/.f64 1/2 (pow.f64 x 2))) (/.f64 1/3 (pow.f64 x 3)))))
(-.f64 (+.f64 (+.f64 (log.f64 x) (+.f64 (log.f64 -1) (/.f64 -1 x))) (/.f64 -1/2 (pow.f64 x 2))) (/.f64 1/3 (pow.f64 x 3)))
(*.f64 -1 (log.f64 (/.f64 -1 x)))
(neg.f64 (log.f64 (/.f64 -1 x)))
(-.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (/.f64 1 x))
(-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (/.f64 1 x))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (/.f64 -1 x))
(-.f64 (/.f64 -1 x) (log.f64 (/.f64 -1 x)))
(-.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)))
(-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 1 x) (/.f64 1/2 (pow.f64 x 2))))
(+.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (/.f64 -1/2 (pow.f64 x 2))) (/.f64 -1 x))
(+.f64 (-.f64 (/.f64 -1 x) (log.f64 (/.f64 -1 x))) (/.f64 -1/2 (pow.f64 x 2)))
(-.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))))
(-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (+.f64 (+.f64 (/.f64 1 x) (/.f64 1/2 (pow.f64 x 2))) (/.f64 1/3 (pow.f64 x 3))))
(-.f64 (+.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (/.f64 -1/2 (pow.f64 x 2))) (/.f64 -1 x)) (/.f64 1/3 (pow.f64 x 3)))
(+.f64 (+.f64 (-.f64 (/.f64 -1 x) (log.f64 (/.f64 -1 x))) (/.f64 -1/2 (pow.f64 x 2))) (/.f64 -1/3 (pow.f64 x 3)))
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 (pow.f64 x 3) 1/3)))
(+.f64 x (fma.f64 (pow.f64 x 3) 1/3 (*.f64 -1/2 (pow.f64 x 2))))
(+.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 (pow.f64 x 3) 1/3))))
(+.f64 x (fma.f64 -1/2 (pow.f64 x 2) (fma.f64 (pow.f64 x 3) 1/3 (*.f64 -1/4 (pow.f64 x 4)))))
(+.f64 (fma.f64 -1/2 (pow.f64 x 2) x) (fma.f64 (pow.f64 x 3) 1/3 (*.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 (/.f64 1 x) (log.f64 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 (log.f64 x) (/.f64 1/3 (pow.f64 x 3))) (+.f64 (/.f64 1 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 (log.f64 -1) (-.f64 (/.f64 1 x) (log.f64 (/.f64 -1 x))))
(+.f64 (/.f64 1 x) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (/.f64 1 x))) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 -1) (-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (/.f64 1 x)) (/.f64 1/2 (pow.f64 x 2))))
(+.f64 (log.f64 -1) (+.f64 (-.f64 (/.f64 1 x) (log.f64 (/.f64 -1 x))) (/.f64 -1/2 (pow.f64 x 2))))
(+.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 1 x) (/.f64 -1/2 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 -1) (-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3)))) (/.f64 1/2 (pow.f64 x 2))))
(+.f64 (-.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 (log.f64 -1) (+.f64 (+.f64 (/.f64 1 x) (-.f64 (/.f64 1/3 (pow.f64 x 3)) (log.f64 (/.f64 -1 x)))) (/.f64 -1/2 (pow.f64 x 2))))
-1
(-.f64 (*.f64 -1 x) 1)
(fma.f64 -1 x -1)
(-.f64 -1 x)
(-.f64 (+.f64 (.f64 -1 x) (.f64 -1/2 (pow.f64 x 2))) 1)
(+.f64 (fma.f64 -1 x (*.f64 -1/2 (pow.f64 x 2))) -1)
(fma.f64 -1 x (fma.f64 -1/2 (pow.f64 x 2) -1))
(-.f64 (fma.f64 -1/2 (pow.f64 x 2) -1) x)
(-.f64 (+.f64 (.f64 -1 x) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3)))) 1)
(+.f64 (fma.f64 -1 x (fma.f64 -1/2 (pow.f64 x 2) (*.f64 (pow.f64 x 3) -5/12))) -1)
(+.f64 -1 (-.f64 (fma.f64 -1/2 (pow.f64 x 2) (*.f64 (pow.f64 x 3) -5/12)) x))
(+.f64 (fma.f64 -1/2 (pow.f64 x 2) (neg.f64 x)) (fma.f64 (pow.f64 x 3) -5/12 -1))
(.f64 -1 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 x)))) (log.f64 (/.f64 1 x))))
(neg.f64 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 x)))) (neg.f64 (log.f64 x))))
(/.f64 (neg.f64 (+.f64 (log.f64 -1) (log.f64 x))) (neg.f64 (log.f64 x)))
(*.f64 1 (/.f64 (+.f64 (log.f64 -1) (log.f64 x)) (log.f64 x)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 x)))) (log.f64 (/.f64 1 x)))) (/.f64 2 (.f64 x (log.f64 (/.f64 1 x))))) (/.f64 (log.f64 -1) (.f64 x (pow.f64 (log.f64 (/.f64 1 x)) 2))))
(-.f64 (fma.f64 -1 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 x)))) (neg.f64 (log.f64 x))) (/.f64 (/.f64 2 x) (neg.f64 (log.f64 x)))) (/.f64 (log.f64 -1) (*.f64 x (pow.f64 (neg.f64 (log.f64 x)) 2))))
(-.f64 (-.f64 (/.f64 2 (.f64 x (neg.f64 (log.f64 x)))) (/.f64 (+.f64 (log.f64 -1) (log.f64 x)) (neg.f64 (log.f64 x)))) (/.f64 (log.f64 -1) (.f64 x (pow.f64 (neg.f64 (log.f64 x)) 2))))
(-.f64 (/.f64 (-.f64 (/.f64 2 (neg.f64 (log.f64 x))) (/.f64 (log.f64 -1) (pow.f64 (neg.f64 (log.f64 x)) 2))) x) (/.f64 (+.f64 (log.f64 -1) (log.f64 x)) (neg.f64 (log.f64 x))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 x)))) (log.f64 (/.f64 1 x)))) (+.f64 (.f64 2 (/.f64 1 (.f64 x (log.f64 (/.f64 1 x))))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) (log.f64 (/.f64 1 x))))))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 2 (/.f64 1 (log.f64 (/.f64 1 x)))) (/.f64 (log.f64 -1) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (.f64 (pow.f64 x 2) (log.f64 (/.f64 1 x))))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 x)))) (.f64 (pow.f64 x 2) (pow.f64 (log.f64 (/.f64 1 x)) 2)))) (/.f64 (log.f64 -1) (*.f64 x (pow.f64 (log.f64 (/.f64 1 x)) 2))))))
(-.f64 (+.f64 (fma.f64 -1 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 x)))) (neg.f64 (log.f64 x))) (/.f64 (/.f64 2 x) (neg.f64 (log.f64 x)))) (/.f64 1/2 (.f64 (pow.f64 x 2) (neg.f64 (log.f64 x))))) (fma.f64 -1 (/.f64 (-.f64 (/.f64 2 (neg.f64 (log.f64 x))) (/.f64 (log.f64 -1) (pow.f64 (neg.f64 (log.f64 x)) 2))) (.f64 (pow.f64 x 2) (neg.f64 (log.f64 x)))) (fma.f64 -1/2 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 x)))) (.f64 (pow.f64 x 2) (pow.f64 (neg.f64 (log.f64 x)) 2))) (/.f64 (log.f64 -1) (.f64 x (pow.f64 (neg.f64 (log.f64 x)) 2))))))
(-.f64 (+.f64 (-.f64 (/.f64 2 (.f64 x (neg.f64 (log.f64 x)))) (/.f64 (+.f64 (log.f64 -1) (log.f64 x)) (neg.f64 (log.f64 x)))) (/.f64 (/.f64 1/2 (pow.f64 x 2)) (neg.f64 (log.f64 x)))) (-.f64 (fma.f64 -1/2 (/.f64 (+.f64 (log.f64 -1) (log.f64 x)) (.f64 (pow.f64 x 2) (pow.f64 (neg.f64 (log.f64 x)) 2))) (/.f64 (log.f64 -1) (.f64 x (pow.f64 (neg.f64 (log.f64 x)) 2)))) (/.f64 (-.f64 (/.f64 2 (neg.f64 (log.f64 x))) (/.f64 (log.f64 -1) (pow.f64 (neg.f64 (log.f64 x)) 2))) (.f64 (pow.f64 x 2) (neg.f64 (log.f64 x))))))
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(*.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) (cbrt.f64 (sqrt.f64 (log1p.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 5/2)) (cbrt.f64 (sqrt.f64 (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)
(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 -1 x) 1)))
(-.f64 (log1p.f64 (pow.f64 x 3)) (log1p.f64 (-.f64 (pow.f64 x 2) x)))
(neg.f64 (log.f64 (/.f64 (+.f64 1 x) (pow.f64 (hypot.f64 1 x) 2))))
(neg.f64 (log.f64 (/.f64 (+.f64 x 1) (pow.f64 (hypot.f64 1 x) 2))))
(-.f64 (*.f64 2 (log.f64 (hypot.f64 1 x))) (log1p.f64 x))
(sqrt.f64 (pow.f64 (log1p.f64 x) 2))
(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 (log1p.f64 x)) 1))
(log1p.f64 x)
(exp.f64 (.f64 (.f64 (log.f64 (log1p.f64 x)) 1) 1))
(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)
(exp.f64 (+.f64 0 (*.f64 (log.f64 (log1p.f64 x)) 1)))
(log1p.f64 x)
(exp.f64 (+.f64 (*.f64 (log.f64 (log1p.f64 x)) 1) 0))
(log1p.f64 x)
(log1p.f64 x)
(+.f64 (log1p.f64 x) 0)
(log1p.f64 x)
(+.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 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 -1 x) 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 0 (log1p.f64 x))
(log1p.f64 x)
(+.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 1 x) 2) (+.f64 1 (pow.f64 x 3)))) (log1p.f64 (fma.f64 x x x)))
(+.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 1 x) 2) (+.f64 (pow.f64 x 3) 1))) (log1p.f64 (fma.f64 x x x)))
(-.f64 (*.f64 2 (log.f64 (hypot.f64 1 x))) (-.f64 (log1p.f64 (pow.f64 x 3)) (log1p.f64 (fma.f64 x x x))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 x))) 1)
(log1p.f64 x)
(-.f64 (log1p.f64 (pow.f64 x 2)) (log1p.f64 x))
(-.f64 (log1p.f64 (pow.f64 x 3)) (log1p.f64 (fma.f64 x x x)))
(-.f64 (log1p.f64 (pow.f64 x 3)) (log.f64 (fma.f64 x x (+.f64 1 x))))
(-.f64 (log1p.f64 (pow.f64 x 3)) (log.f64 (fma.f64 x x (+.f64 x 1))))
(-.f64 (log1p.f64 (pow.f64 x 3)) (log.f64 (+.f64 (fma.f64 x x x) 1)))
(-.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 -1 x) 1)))
(-.f64 (log1p.f64 (pow.f64 x 3)) (log1p.f64 (-.f64 (pow.f64 x 2) x)))
(-.f64 0 (log.f64 (/.f64 (+.f64 1 x) (pow.f64 (hypot.f64 1 x) 2))))
(neg.f64 (log.f64 (/.f64 (+.f64 x 1) (pow.f64 (hypot.f64 1 x) 2))))
(-.f64 (*.f64 2 (log.f64 (hypot.f64 1 x))) (log1p.f64 x))
(-.f64 (log.f64 (neg.f64 (pow.f64 (hypot.f64 1 x) 2))) (log.f64 (neg.f64 (+.f64 1 x))))
(-.f64 (log.f64 (neg.f64 (pow.f64 (hypot.f64 1 x) 2))) (log.f64 (+.f64 -1 (neg.f64 x))))
(-.f64 (log.f64 (neg.f64 (pow.f64 (hypot.f64 1 x) 2))) (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 (neg.f64 (+.f64 (pow.f64 x 3) 1))) (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 -1 x) 1))))
(-.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 (fma.f64 x x -1)) (log.f64 (+.f64 -1 x)))
(-.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 1 x) 2) 1)) (log1p.f64 x))
(neg.f64 (log.f64 (/.f64 (+.f64 x 1) (pow.f64 (hypot.f64 1 x) 2))))
(-.f64 (*.f64 2 (log.f64 (hypot.f64 1 x))) (log1p.f64 x))
(-.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 1 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))) (*.f64 1/3 (log1p.f64 x)))
(+.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 1 x) 2) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))) (*.f64 -1/3 (log1p.f64 x)))
(+.f64 (fma.f64 2 (log.f64 (hypot.f64 1 x)) (.f64 -2 (log.f64 (cbrt.f64 (+.f64 x 1))))) (.f64 -1/3 (log1p.f64 x)))
(-.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 1 x) 2) (sqrt.f64 (+.f64 1 x)))) (*.f64 1/2 (log1p.f64 x)))
(+.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 1 x) 2) (sqrt.f64 (+.f64 x 1)))) (*.f64 -1/2 (log1p.f64 x)))
(*.f64 1 (log1p.f64 x))
(log1p.f64 x)
(*.f64 (log1p.f64 x) 1)
(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 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 x))) 2) 3) (cbrt.f64 (log1p.f64 x)))
(log1p.f64 x)
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 x))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 x))) 3))
(log1p.f64 x)
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 x) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 x) 3)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (log1p.f64 x) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (log1p.f64 x) 3))))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 3/2)) (cbrt.f64 (pow.f64 (log1p.f64 x) 3/2)))
(.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 (cbrt.f64 (log1p.f64 x))) (cbrt.f64 (pow.f64 (.f64 (log1p.f64 x) (cbrt.f64 (log1p.f64 x))) 2)))
(*.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) (cbrt.f64 (sqrt.f64 (log1p.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 5/2)) (cbrt.f64 (sqrt.f64 (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)
(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 -1 x) 1)))
(-.f64 (log1p.f64 (pow.f64 x 3)) (log1p.f64 (-.f64 (pow.f64 x 2) x)))
(neg.f64 (log.f64 (/.f64 (+.f64 1 x) (pow.f64 (hypot.f64 1 x) 2))))
(neg.f64 (log.f64 (/.f64 (+.f64 x 1) (pow.f64 (hypot.f64 1 x) 2))))
(-.f64 (*.f64 2 (log.f64 (hypot.f64 1 x))) (log1p.f64 x))
(sqrt.f64 (pow.f64 (log1p.f64 x) 2))
(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 (log1p.f64 x)) 1))
(log1p.f64 x)
(exp.f64 (.f64 (.f64 (log.f64 (log1p.f64 x)) 1) 1))
(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)
(exp.f64 (+.f64 0 (*.f64 (log.f64 (log1p.f64 x)) 1)))
(log1p.f64 x)
(exp.f64 (+.f64 (*.f64 (log.f64 (log1p.f64 x)) 1) 0))
(log1p.f64 x)
(log1p.f64 x)
1
1

eval125.0ms (1.6%)

Compiler: Compiled 5632 to 4306 computations (23.5% saved)

prune28.0ms (0.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	196	3	199
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	197	4	201

Accuracy

100.0%

Counts

201 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
▶	99.6%	(-.f64 (+.f64 (.f64 -1 x) (.f64 -1/2 (pow.f64 x 2))) 1)
▶	99.4%	(-.f64 -1 x)
	98.5%	-1
✓	100.0%	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
▶	99.6%	(-.f64 (+.f64 (.f64 -1 x) (.f64 -1/2 (pow.f64 x 2))) 1)
▶	99.4%	(-.f64 -1 x)
	98.5%	-1

Compiler

Compiled 50 to 40 computations (20% saved)

localize83.0ms (1.1%)

Localize:

Found 1 expressions with local error:

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

Compiler

Compiled 43 to 33 computations (23.3% saved)

series1.0ms (0%)

Counts

1 → 0

Calls

3 calls:

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

rewrite113.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

848×	`associate-r`
756×	`expm1-udef`
728×	`associate-l`
404×	`unpow-prod-down`
286×	`log-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	16
1	69	16
2	706	16
3	7640	16

Stop Event

1×	node limit

Counts

1 → 25

Calls

Call 1

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

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

simplify49.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

772×	`times-frac`
710×	`distribute-lft-out`
648×	`fma-neg`
514×	`associate--l+`
496×	`fma-def`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	85	533
1	205	531
2	580	531
3	2681	103

Stop Event

1×	node limit

Counts

25 → 32

Calls

Call 1

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

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

eval12.0ms (0.1%)

Compiler: Compiled 528 to 457 computations (13.4% saved)

prune7.0ms (0.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	32	0	32
Fresh	0	1	1
Picked	0	2	2
Done	0	1	1
Total	32	4	36

Accuracy

100.0%

Counts

36 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
✓	99.6%	(-.f64 (+.f64 (.f64 -1 x) (.f64 -1/2 (pow.f64 x 2))) 1)
✓	99.4%	(-.f64 -1 x)
	98.5%	-1
✓	100.0%	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
✓	99.6%	(-.f64 (+.f64 (.f64 -1 x) (.f64 -1/2 (pow.f64 x 2))) 1)
✓	99.4%	(-.f64 -1 x)
	98.5%	-1

Compiler

Compiled 50 to 40 computations (20% saved)

localize0.0ms (0%)

eval0.0ms (0%)

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

prune3.0ms (0%)

Pruning

4 alts after pruning (1 fresh and 3 done)

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

Accuracy

100.0%

Counts

4 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
✓	99.6%	(-.f64 (+.f64 (.f64 -1 x) (.f64 -1/2 (pow.f64 x 2))) 1)
✓	99.4%	(-.f64 -1 x)
	98.5%	-1
✓	100.0%	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
✓	99.6%	(-.f64 (+.f64 (.f64 -1 x) (.f64 -1/2 (pow.f64 x 2))) 1)
✓	99.4%	(-.f64 -1 x)
	98.5%	-1

Compiler

Compiled 50 to 40 computations (20% saved)

localize0.0ms (0%)

eval0.0ms (0%)

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

prune3.0ms (0%)

Pruning

4 alts after pruning (1 fresh and 3 done)

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

Accuracy

100.0%

Counts

4 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
✓	99.6%	(-.f64 (+.f64 (.f64 -1 x) (.f64 -1/2 (pow.f64 x 2))) 1)
✓	99.4%	(-.f64 -1 x)
	98.5%	-1

Compiler

Compiled 56 to 44 computations (21.4% saved)

regimes8.0ms (0.1%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 43 to 33 computations (23.3% saved)

regimes6.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
99.6%	1	`x`

Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes4.0ms (0%)

Counts

2 → 1

Calls

Call 1

Inputs
-1
(-.f64 -1 x)

Outputs
(-.f64 -1 x)

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
99.4%	1	`x`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes3.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
-1

Outputs
-1

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
98.5%	1	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 23 to 18 computations (21.7% saved)

soundness267.0ms (3.4%)

Rules

1240×	`cancel-sign-sub-inv`
1122×	`unsub-neg`
1000×	`times-frac`
952×	`fma-def`
746×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	124
1	35	104
2	54	104
3	92	104
4	141	104
5	193	104
6	233	104
7	287	104
8	394	104
9	633	104
10	1291	104
11	3005	104
12	5337	104
13	7807	104
0	299	8964
1	879	8176
2	3488	7958

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 63 to 46 computations (27% saved)

end0.0ms (0%)

preprocess46.0ms (0.6%)

Compiler: Compiled 74 to 56 computations (24.3% saved)

analyze501.0ms (6.4%)

sample5.1s (65%)

preprocess367.0ms (4.7%)

eval0.0ms (0%)

prune2.0ms (0%)

localize887.0ms (11.3%)

series8.0ms (0.1%)

rewrite117.0ms (1.5%)

simplify105.0ms (1.3%)

eval125.0ms (1.6%)

prune28.0ms (0.4%)

localize83.0ms (1.1%)

series1.0ms (0%)

rewrite113.0ms (1.4%)

simplify49.0ms (0.6%)

eval12.0ms (0.1%)

prune7.0ms (0.1%)

localize0.0ms (0%)

eval0.0ms (0%)

prune3.0ms (0%)

localize0.0ms (0%)

eval0.0ms (0%)

prune3.0ms (0%)

regimes8.0ms (0.1%)

regimes6.0ms (0.1%)

regimes4.0ms (0%)

regimes3.0ms (0%)

simplify3.0ms (0%)

soundness267.0ms (3.4%)

end0.0ms (0%)

preprocess46.0ms (0.6%)

Profiling