Metrics for qlog (example 3.10)

analyze410.0ms (5.3%)

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
3.1%	1.6%	48.4%	50%	0%	0%	0%	6
7.8%	3.9%	46%	50%	0%	0%	0%	7
10.2%	5.1%	44.9%	50%	0%	0%	0%	8
11.3%	5.7%	44.3%	50%	0%	0%	0%	9
11.9%	6%	44%	50%	0%	0%	0%	10
12.2%	6.1%	43.9%	50%	0%	0%	0%	11
12.4%	6.2%	43.8%	50%	0%	0%	0%	12

Compiler

Compiled 14 to 11 computations (21.4% saved)

sample4.9s (63.2%)

Results

3.3s	4075×	body	1024	valid
810.0ms	2066×	body	512	valid
492.0ms	448×	body	2048	valid
355.0ms	1667×	body	256	valid

Bogosity

preprocess327.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

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

Problems

249×	`(log.f64 (-.f64 1 x))`
5×	`(log.f64 (+.f64 1 x))`
2×	No Errors

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)

prune1.0ms (0%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 14 to 10 computations (28.6% saved)

localize27.0ms (0.3%)

Localize:

Found 1 expressions with local error:

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

Compiler

Compiled 16 to 6 computations (62.5% saved)

series5.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

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

rewrite92.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

534×	`unpow-prod-down`
346×	`log-prod`
332×	`cbrt-prod`
314×	`log1p-expm1-u`
314×	`expm1-log1p-u`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	112	21
2	1478	1

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

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

Outputs
1

simplify72.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1106×	`associate-/r*`
1044×	`fma-def`
770×	`unsub-neg`
674×	`times-frac`
578×	`associate--r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	127	2817
1	431	2514
2	1528	2270
3	7923	2270

Stop Event

1×	node limit

Counts

13 → 45

Calls

Call 1

Inputs
-1
(-.f64 (*.f64 -1 x) 1)
(-.f64 (+.f64 (.f64 -1 x) (.f64 -1/2 (pow.f64 x 2))) 1)
(-.f64 (+.f64 (.f64 -1 x) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3)))) 1)
(.f64 -1 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 x)))) (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 x)))) (log.f64 (/.f64 1 x)))) (/.f64 2 (.f64 x (log.f64 (/.f64 1 x))))) (/.f64 (log.f64 -1) (.f64 x (pow.f64 (log.f64 (/.f64 1 x)) 2))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 x)))) (log.f64 (/.f64 1 x)))) (+.f64 (.f64 2 (/.f64 1 (.f64 x (log.f64 (/.f64 1 x))))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) (log.f64 (/.f64 1 x))))))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 2 (/.f64 1 (log.f64 (/.f64 1 x)))) (/.f64 (log.f64 -1) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (.f64 (pow.f64 x 2) (log.f64 (/.f64 1 x))))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 x)))) (.f64 (pow.f64 x 2) (pow.f64 (log.f64 (/.f64 1 x)) 2)))) (/.f64 (log.f64 -1) (*.f64 x (pow.f64 (log.f64 (/.f64 1 x)) 2))))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 x)))) (log.f64 (/.f64 1 x)))) (+.f64 (.f64 1/3 (/.f64 1 (.f64 (pow.f64 x 3) (log.f64 (/.f64 1 x))))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) (log.f64 (/.f64 1 x))))) (.f64 2 (/.f64 1 (.f64 x (log.f64 (/.f64 1 x)))))))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (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))) (log.f64 (/.f64 1 x)))) (.f64 -1/2 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 x)))) (pow.f64 (log.f64 (/.f64 1 x)) 2))))) (.f64 (pow.f64 x 3) (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 (.f64 1/3 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 x)))) (.f64 (pow.f64 x 3) (pow.f64 (log.f64 (/.f64 1 x)) 2)))) (+.f64 (.f64 1/2 (/.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 3) (log.f64 (/.f64 1 x))))) (/.f64 (log.f64 -1) (.f64 x (pow.f64 (log.f64 (/.f64 1 x)) 2)))))))))
(.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x))))))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))))) (.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x))))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 2))) x)))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x))))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))) 2))) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))))) (+.f64 (.f64 1/2 (/.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))))) (.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))) 2))))) (pow.f64 x 2))) (.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x))))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))) 2))) x))))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x))))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))) 2))) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))))) (+.f64 (.f64 1/2 (/.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))))) (.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))) 2))))) (pow.f64 x 2))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 1/3 (/.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))))) (+.f64 (.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x))))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))) 2))) (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))) 2))) (+.f64 (.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x))))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))) 2))) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))))) (+.f64 (.f64 1/3 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))) 2))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))) 2))) (.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))) 3)))))))) (pow.f64 x 3))) (.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x))))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 2))) x)))))
1

Outputs
-1
(-.f64 (*.f64 -1 x) 1)
(fma.f64 -1 x -1)
(-.f64 -1 x)
(-.f64 (+.f64 (.f64 -1 x) (.f64 -1/2 (pow.f64 x 2))) 1)
(+.f64 (fma.f64 -1 x (*.f64 -1/2 (pow.f64 x 2))) -1)
(fma.f64 -1 x (fma.f64 -1/2 (pow.f64 x 2) -1))
(-.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 -5/12 (pow.f64 x 3)))) -1)
(+.f64 -1 (-.f64 (fma.f64 -1/2 (pow.f64 x 2) (*.f64 -5/12 (pow.f64 x 3))) x))
(-.f64 (fma.f64 -1/2 (pow.f64 x 2) (fma.f64 -5/12 (pow.f64 x 3) -1)) x)
(.f64 -1 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 x)))) (log.f64 (/.f64 1 x))))
(neg.f64 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 x)))) (neg.f64 (log.f64 x))))
(/.f64 (neg.f64 (+.f64 (log.f64 -1) (log.f64 x))) (neg.f64 (log.f64 x)))
(*.f64 1 (/.f64 (+.f64 (log.f64 -1) (log.f64 x)) (log.f64 x)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 x)))) (log.f64 (/.f64 1 x)))) (/.f64 2 (.f64 x (log.f64 (/.f64 1 x))))) (/.f64 (log.f64 -1) (.f64 x (pow.f64 (log.f64 (/.f64 1 x)) 2))))
(-.f64 (fma.f64 -1 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 x)))) (neg.f64 (log.f64 x))) (/.f64 (/.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 (/.f64 (log.f64 -1) (pow.f64 (neg.f64 (log.f64 x)) 2)) x))
(-.f64 (/.f64 (-.f64 (/.f64 -2 (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 (fma.f64 -1 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 x)))) (neg.f64 (log.f64 x))) (+.f64 (/.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 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 (.f64 (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 (/.f64 (log.f64 -1) (pow.f64 (neg.f64 (log.f64 x)) 2)) x)) (/.f64 (-.f64 (/.f64 2 (neg.f64 (log.f64 x))) (/.f64 (log.f64 -1) (pow.f64 (neg.f64 (log.f64 x)) 2))) (.f64 (pow.f64 x 2) (neg.f64 (log.f64 x)))))))
(+.f64 (-.f64 (/.f64 (/.f64 -1/2 (log.f64 x)) (pow.f64 x 2)) (/.f64 (+.f64 (log.f64 -1) (log.f64 x)) (neg.f64 (log.f64 x)))) (-.f64 (/.f64 (-.f64 (/.f64 -2 (log.f64 x)) (/.f64 (log.f64 -1) (pow.f64 (neg.f64 (log.f64 x)) 2))) x) (-.f64 (*.f64 -1/2 (/.f64 (/.f64 (+.f64 (log.f64 -1) (log.f64 x)) (pow.f64 (neg.f64 (log.f64 x)) 2)) (pow.f64 x 2))) (/.f64 (-.f64 (/.f64 2 (pow.f64 (neg.f64 (log.f64 x)) 2)) (/.f64 (log.f64 -1) (pow.f64 (neg.f64 (log.f64 x)) 3))) (pow.f64 x 2)))))
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(fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))) (fma.f64 -1 (/.f64 (fma.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))) 2))) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))) (+.f64 (/.f64 1/2 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))) (/.f64 (.f64 1/2 (log.f64 (/.f64 -1 x))) (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))) 2)))) (pow.f64 x 2)) (.f64 -1 (+.f64 (/.f64 (-.f64 (/.f64 1/3 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))) (fma.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))) 2))) (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))) 2)) (fma.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))) 2))) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))) (fma.f64 1/3 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))) 2)) (+.f64 (/.f64 1/2 (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))) 2)) (/.f64 (*.f64 1/2 (log.f64 (/.f64 -1 x))) (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))) 3))))))) (pow.f64 x 3)) (/.f64 (-.f64 (/.f64 1 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))) 2))) x)))))
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 (-.f64 (/.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)))) x) (/.f64 (-.f64 (/.f64 1/3 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (-.f64 (fma.f64 -1/2 (-.f64 (/.f64 1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3))) (fma.f64 1/3 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (fma.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3)) (/.f64 1/2 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2))))) (/.f64 (-.f64 (/.f64 1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) (pow.f64 x 3))) (/.f64 (-.f64 (fma.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (-.f64 (/.f64 1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3)))) (pow.f64 x 2))) (/.f64 (log.f64 (/.f64 -1 x)) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))
(-.f64 (-.f64 (/.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (+.f64 (/.f64 (-.f64 (/.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2))) x) (/.f64 (+.f64 (-.f64 (fma.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (/.f64 1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3))) (pow.f64 x 2)))) (/.f64 (-.f64 (/.f64 1/3 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (+.f64 (/.f64 1/2 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (+.f64 (.f64 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (+.f64 1/3 (/.f64 1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) (.f64 (-.f64 (/.f64 1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3))) (+.f64 (/.f64 -1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) -1/2))))) (pow.f64 x 3)))
(-.f64 (/.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (+.f64 (/.f64 (+.f64 (-.f64 (fma.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (/.f64 1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3))) (pow.f64 x 2)) (+.f64 (/.f64 (-.f64 (/.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2))) x) (/.f64 (-.f64 (/.f64 1/3 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (+.f64 (/.f64 1/2 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (+.f64 (.f64 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (+.f64 1/3 (/.f64 1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) (.f64 (-.f64 (/.f64 1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3))) (+.f64 (/.f64 -1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) -1/2))))) (pow.f64 x 3)))))
1

eval65.0ms (0.8%)

Compiler: Compiled 3224 to 2563 computations (20.5% saved)

prune7.0ms (0.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	42	3	45
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	42	4	46

Accuracy

100.0%

Counts

46 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
▶	99.2%	(-.f64 (+.f64 (.f64 -1 x) (.f64 -1/2 (pow.f64 x 2))) 1)
▶	98.7%	(-.f64 -1 x)
	97.3%	-1
✓	100.0%	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
▶	99.2%	(-.f64 (+.f64 (.f64 -1 x) (.f64 -1/2 (pow.f64 x 2))) 1)
▶	98.7%	(-.f64 -1 x)
	97.3%	-1

Compiler

Compiled 50 to 40 computations (20% saved)

localize296.0ms (3.8%)

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
0.0ms	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))

rewrite115.0ms (1.5%)

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))))

simplify54.0ms (0.7%)

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 (0.2%)

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

prune7.0ms (0.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	31	1	32
Fresh	0	1	1
Picked	0	2	2
Done	0	1	1
Total	31	5	36

Accuracy

100.0%

Counts

36 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
▶	99.2%	(-.f64 (+.f64 (.f64 -1 x) (-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) 1) 1)) 1)
✓	99.2%	(-.f64 (+.f64 (.f64 -1 x) (.f64 -1/2 (pow.f64 x 2))) 1)
✓	98.7%	(-.f64 -1 x)
	97.3%	-1
✓	100.0%	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
▶	99.2%	(-.f64 (+.f64 (.f64 -1 x) (-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) 1) 1)) 1)
✓	99.2%	(-.f64 (+.f64 (.f64 -1 x) (.f64 -1/2 (pow.f64 x 2))) 1)
✓	98.7%	(-.f64 -1 x)
	97.3%	-1

Compiler

Compiled 82 to 68 computations (17.1% saved)

localize492.0ms (6.3%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
	100.0%	(*.f64 -1/2 (pow.f64 x 2))
✓	51.7%	(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) 1) 1)

Compiler

Compiled 62 to 52 computations (16.1% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite56.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

856×	`unpow-prod-down`
754×	`fma-def`
684×	`prod-diff`
531×	`log1p-expm1-u`
531×	`expm1-log1p-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	22
1	138	16
2	1787	16

Stop Event

1×	node limit

Counts

1 → 89

Calls

Call 1

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

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

simplify72.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

764×	`distribute-lft-neg-in`
736×	`associate-r`
730×	`distribute-rgt-neg-in`
710×	`fma-def`
650×	`associate-l`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	207	3001
1	471	2884
2	1131	2849
3	4442	2840

Stop Event

1×	node limit

Counts

101 → 113

Calls

Call 1

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

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

eval62.0ms (0.8%)

Compiler: Compiled 2800 to 2412 computations (13.9% saved)

prune29.0ms (0.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	144	1	145
Fresh	0	1	1
Picked	0	1	1
Done	1	2	3
Total	145	5	150

Accuracy

100.0%

Counts

150 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
✓	99.2%	(-.f64 (+.f64 (.f64 -1 x) (-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) 1) 1)) 1)
▶	99.2%	(-.f64 (+.f64 (.f64 -1 x) (.f64 (*.f64 -1/2 x) x)) 1)
✓	98.7%	(-.f64 -1 x)
	97.3%	-1
✓	100.0%	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
✓	99.2%	(-.f64 (+.f64 (.f64 -1 x) (-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) 1) 1)) 1)
▶	99.2%	(-.f64 (+.f64 (.f64 -1 x) (.f64 (*.f64 -1/2 x) x)) 1)
✓	98.7%	(-.f64 -1 x)
	97.3%	-1

Compiler

Compiled 82 to 66 computations (19.5% saved)

localize73.0ms (0.9%)

Compiler: Compiled 37 to 26 computations (29.7% saved)

eval0.0ms (0%)

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

prune4.0ms (0%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	1	1
Done	3	3
Total	5	5

Accuracy

100.0%

Counts

5 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
✓	99.2%	(-.f64 (+.f64 (.f64 -1 x) (-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) 1) 1)) 1)
✓	99.2%	(-.f64 (+.f64 (.f64 -1 x) (.f64 (*.f64 -1/2 x) x)) 1)
✓	98.7%	(-.f64 -1 x)
	97.3%	-1

Compiler

Compiled 98 to 78 computations (20.4% saved)

regimes14.0ms (0.2%)

Counts

7 → 1

Calls

Call 1

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

9.0ms	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 69 to 54 computations (21.7% saved)

regimes6.0ms (0.1%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
99.2%	1	`x`

Compiler

Compiled 44 to 35 computations (20.5% saved)

regimes4.0ms (0%)

Counts

2 → 1

Calls

Call 1

Inputs
-1
(-.f64 -1 x)

Outputs
(-.f64 -1 x)

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
98.7%	1	`x`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes3.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
-1

Outputs
-1

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
97.3%	1	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	74
1	30	70
2	36	70
3	42	70

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

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

Compiler

Compiled 23 to 17 computations (26.1% saved)

soundness506.0ms (6.5%)

Rules

1122×	`unsub-neg`
1106×	`associate-/r*`
1044×	`fma-def`
1000×	`times-frac`
952×	`fma-def`

Iterations

Useful iterations: 0 (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	127	2817
1	431	2514
2	1528	2270
3	7923	2270
0	9	16
1	69	16
2	706	16
3	7640	16
0	12	22
1	138	16
2	1787	16

Stop Event

1×	node limit
1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 227 to 184 computations (18.9% saved)

end0.0ms (0%)

preprocess52.0ms (0.7%)

Compiler: Compiled 74 to 54 computations (27% saved)

analyze410.0ms (5.3%)

sample4.9s (63.2%)

preprocess327.0ms (4.2%)

eval0.0ms (0%)

prune1.0ms (0%)

localize27.0ms (0.3%)

series5.0ms (0.1%)

rewrite92.0ms (1.2%)

simplify72.0ms (0.9%)

eval65.0ms (0.8%)

prune7.0ms (0.1%)

localize296.0ms (3.8%)

series1.0ms (0%)

rewrite115.0ms (1.5%)

simplify54.0ms (0.7%)

eval12.0ms (0.2%)

prune7.0ms (0.1%)

localize492.0ms (6.3%)

series1.0ms (0%)

rewrite56.0ms (0.7%)

simplify72.0ms (0.9%)

eval62.0ms (0.8%)

prune29.0ms (0.4%)

localize73.0ms (0.9%)

eval0.0ms (0%)

prune4.0ms (0%)

regimes14.0ms (0.2%)

regimes6.0ms (0.1%)

regimes4.0ms (0%)

regimes3.0ms (0%)

simplify7.0ms (0.1%)

soundness506.0ms (6.5%)

end0.0ms (0%)

preprocess52.0ms (0.7%)

Profiling