Metrics for qlog (example 3.10)

analyze386.0ms (3.8%)

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)

sample6.3s (62.4%)

Results

4.3s	4204×	1024	valid
989.0ms	2043×	512	valid
770.0ms	1761×	256	valid
237.0ms	248×	2048	valid

Bogosity

preprocess1.4s (14.1%)

Algorithm

1×	egg-herbie

Rules

1128×	`unsub-neg`
992×	`times-frac`
952×	`fma-def`
760×	`associate-/l*`
660×	`sub-neg`

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
254	1	(-0.00027313702630049565)	-	`(log.f64 (+.f64 1 x))`
254	1	(-0.00027313702630049565)	-	`(log.f64 (-.f64 1 x))`
0	0	-	-	`x`
0	0	-	-	`(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))`
0	0	-	-	`(+.f64 1 x)`
0	0	-	-	`(-.f64 1 x)`
0	0	-	-	`1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	124
1	38	104
2	57	104
3	95	104
4	144	104
5	196	104
6	236	104
7	290	104
8	397	104
9	636	104
10	1294	104
11	3020	104
12	5359	104
13	7826	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 64 to 48 computations (25% 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))

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize30.0ms (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)

series7.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
3.0ms	x	@	-inf	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
1.0ms	x	@	0	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))

rewrite226.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

550×	`unpow-prod-down`
346×	`log-prod`
332×	`cbrt-prod`
313×	`log1p-expm1-u`
313×	`expm1-log1p-u`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	112	21
2	1481	1

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

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

Outputs
1

simplify112.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1106×	`associate-/r*`
1044×	`fma-def`
768×	`unsub-neg`
674×	`times-frac`
554×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	127	2817
1	434	2514
2	1533	2270
3	7879	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 (/.f64 1 (log.f64 x)) (+.f64 (log.f64 -1) (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 2 (.f64 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 (+.f64 (fma.f64 -1 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 x)))) (neg.f64 (log.f64 x))) (/.f64 2 (.f64 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 (/.f64 (*.f64 -1/2 (+.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)))))
(-.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)))))))))
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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 1/2 (/.f64 (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 1/2 (/.f64 (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 1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3)) (/.f64 (/.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 (/.f64 1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 1/3)) (.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 (/.f64 1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 1/3)) (.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

eval55.0ms (0.5%)

Compiler: Compiled 3224 to 2560 computations (20.6% saved)

prune9.0ms (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))
▶	99.4%	(-.f64 (+.f64 (.f64 -1 x) (.f64 -1/2 (pow.f64 x 2))) 1)
▶	99.0%	(-.f64 -1 x)
▶	98.3%	-1

Compiler

Compiled 25 to 20 computations (20% saved)

localize68.0ms (0.7%)

Localize:

Found 1 expressions with local error:

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

Compiler

Compiled 44 to 34 computations (22.7% 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))

rewrite174.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

840×	`associate-r`
756×	`expm1-udef`
738×	`associate-l`
410×	`unpow-prod-down`
286×	`log-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	16
1	69	16
2	713	16
3	7641	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) (fma.f64 2 (log.f64 x) (log.f64 -1/2)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (log.f64 x) (log.f64 -1/2))) 2)) (cbrt.f64 (fma.f64 2 (log.f64 x) (log.f64 -1/2))))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 2 (log.f64 x) (log.f64 -1/2)))) (sqrt.f64 (fma.f64 2 (log.f64 x) (log.f64 -1/2))))
(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 (fma.f64 2 (log.f64 x) (log.f64 -1/2)))
(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))))

simplify53.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

740×	`times-frac`
692×	`distribute-lft-out`
618×	`fma-neg`
518×	`associate--l+`
490×	`fma-def`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	88	545
1	208	543
2	570	543
3	2573	165

Stop Event

1×	node limit

Counts

25 → 33

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) (fma.f64 2 (log.f64 x) (log.f64 -1/2)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (log.f64 x) (log.f64 -1/2))) 2)) (cbrt.f64 (fma.f64 2 (log.f64 x) (log.f64 -1/2))))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 2 (log.f64 x) (log.f64 -1/2)))) (sqrt.f64 (fma.f64 2 (log.f64 x) (log.f64 -1/2))))
(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 (fma.f64 2 (log.f64 x) (log.f64 -1/2)))
(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) (fma.f64 2 (log.f64 x) (log.f64 -1/2)))
(pow.f64 (E.f64) (+.f64 (log.f64 -1/2) (log.f64 0)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (log.f64 x) (log.f64 -1/2))) 2)) (cbrt.f64 (fma.f64 2 (log.f64 x) (log.f64 -1/2))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 (log.f64 -1/2) (log.f64 0))) 2)) (cbrt.f64 (+.f64 (log.f64 -1/2) (log.f64 0))))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 2 (log.f64 x) (log.f64 -1/2)))) (sqrt.f64 (fma.f64 2 (log.f64 x) (log.f64 -1/2))))
(pow.f64 (exp.f64 (sqrt.f64 (+.f64 (log.f64 -1/2) (log.f64 0)))) (sqrt.f64 (+.f64 (log.f64 -1/2) (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 (fma.f64 2 (log.f64 x) (log.f64 -1/2)))
(*.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 553 to 475 computations (14.1% saved)

prune8.0ms (0.1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	32	1	33
Fresh	0	0	0
Picked	0	3	3
Done	0	1	1
Total	32	5	37

Accuracy

100.0%

Counts

37 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
▶	99.4%	(-.f64 (+.f64 (.f64 -1 x) (-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) 1) 1)) 1)
✓	99.4%	(-.f64 (+.f64 (.f64 -1 x) (.f64 -1/2 (pow.f64 x 2))) 1)
✓	99.0%	(-.f64 -1 x)
✓	98.3%	-1

Compiler

Compiled 41 to 34 computations (17.1% saved)

localize236.0ms (2.3%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
	100.0%	(*.f64 -1/2 (pow.f64 x 2))
✓	54.5%	(-.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)

rewrite77.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

846×	`unpow-prod-down`
754×	`fma-def`
684×	`prod-diff`
530×	`log1p-expm1-u`
530×	`expm1-log1p-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	22
1	141	16
2	1791	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 -1/2) (pow.f64 x 2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/2) (pow.f64 x 2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/2) (pow.f64 x 2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/2) (pow.f64 x 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 (pow.f64 (cbrt.f64 x) 4) (.f64 (pow.f64 (cbrt.f64 x) 2) -1/2))
(.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 (.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 (+.f64 (pow.f64 (fma.f64 -1/2 (pow.f64 x 2) 1) 2) -1) (/.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)) (pow.f64 (cbrt.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) (pow.f64 (cbrt.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) (+.f64 (pow.f64 (fma.f64 -1/2 (pow.f64 x 2) 1) 2) -1)))
(/.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 (+.f64 (pow.f64 (fma.f64 -1/2 (pow.f64 x 2) 1) 2) -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 (neg.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (pow.f64 x 2) 1) 2) -1)) (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) (+.f64 (pow.f64 (fma.f64 -1/2 (pow.f64 x 2) 1) 2) -1)) -1)
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/4))
(log.f64 (pow.f64 (exp.f64 -1/2) (pow.f64 x 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 (pow.f64 (cbrt.f64 x) 4) (*.f64 (pow.f64 (cbrt.f64 x) 2) -1/2) 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 (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 (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 (.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 (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 (+.f64 (pow.f64 (fma.f64 -1/2 (pow.f64 x 2) 1) 2) -1) (/.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)) (pow.f64 (cbrt.f64 x) 2) 0)

simplify83.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

818×	`distribute-lft-neg-in`
788×	`distribute-rgt-neg-in`
782×	`associate-r`
730×	`fma-def`
706×	`associate-l`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	205	2651
1	472	2570
2	1167	2535
3	4726	2526

Stop Event

1×	node limit

Counts

101 → 110

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

eval69.0ms (0.7%)

Compiler: Compiled 2773 to 2383 computations (14.1% saved)

prune21.0ms (0.2%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	142	1	143
Fresh	0	0	0
Picked	0	1	1
Done	1	3	4
Total	143	5	148

Accuracy

100.0%

Counts

148 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
✓	99.4%	(-.f64 (+.f64 (.f64 -1 x) (-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) 1) 1)) 1)
▶	99.4%	(-.f64 (+.f64 (.f64 -1 x) (.f64 (*.f64 -1/2 x) x)) 1)
✓	99.0%	(-.f64 -1 x)
✓	98.3%	-1

Compiler

Compiled 41 to 33 computations (19.5% saved)

localize52.0ms (0.5%)

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 (0 fresh and 5 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	4	4
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))
✓	99.4%	(-.f64 (+.f64 (.f64 -1 x) (-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) 1) 1)) 1)
✓	99.4%	(-.f64 (+.f64 (.f64 -1 x) (.f64 (*.f64 -1/2 x) x)) 1)
✓	99.0%	(-.f64 -1 x)
✓	98.3%	-1

Compiler

Compiled 98 to 78 computations (20.4% saved)

regimes7.0ms (0.1%)

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:

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 12 to 9 computations (25% saved)

regimes5.0ms (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:

5.0ms

Results

Accuracy	Segments	Branch
99.4%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (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
99.0%	1	`x`

Compiler

Compiled 2 to 1 computations (50% 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
98.3%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify4.0ms (0%)

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	33	70
2	39	70
3	45	70

Stop Event

1×	done
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)

soundness624.0ms (6.2%)

Rules

1128×	`unsub-neg`
1106×	`associate-/r*`
1044×	`fma-def`
992×	`times-frac`
952×	`fma-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	124
1	38	104
2	57	104
3	95	104
4	144	104
5	196	104
6	236	104
7	290	104
8	397	104
9	636	104
10	1294	104
11	3020	104
12	5359	104
13	7826	104
0	127	2817
1	434	2514
2	1533	2270
3	7879	2270
0	9	16
1	69	16
2	713	16
3	7641	16
0	12	22
1	141	16
2	1791	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%)

preprocess43.0ms (0.4%)

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

analyze386.0ms (3.8%)

sample6.3s (62.4%)

preprocess1.4s (14.1%)

eval0.0ms (0%)

prune1.0ms (0%)

localize30.0ms (0.3%)

series7.0ms (0.1%)

rewrite226.0ms (2.2%)

simplify112.0ms (1.1%)

eval55.0ms (0.5%)

prune9.0ms (0.1%)

localize68.0ms (0.7%)

series1.0ms (0%)

rewrite174.0ms (1.7%)

simplify53.0ms (0.5%)

eval12.0ms (0.1%)

prune8.0ms (0.1%)

localize236.0ms (2.3%)

series1.0ms (0%)

rewrite77.0ms (0.8%)

simplify83.0ms (0.8%)

eval69.0ms (0.7%)

prune21.0ms (0.2%)

localize52.0ms (0.5%)

eval0.0ms (0%)

prune4.0ms (0%)

regimes7.0ms (0.1%)

regimes5.0ms (0.1%)

regimes3.0ms (0%)

regimes3.0ms (0%)

simplify4.0ms (0%)

soundness624.0ms (6.2%)

end0.0ms (0%)

preprocess43.0ms (0.4%)

Profiling