Metrics for qlog (example 3.10)

analyze817.0ms (8.2%)

Algorithm

1×

Search

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

Compiler

Compiled 14 to 11 computations (21.4% saved)

sample5.1s (51.5%)

Results

3.4s	4152×	body	1024	valid
1.0s	2082×	body	512	valid
335.0ms	262×	body	2048	valid
321.0ms	1760×	body	256	valid

Bogosity

preprocess701.0ms (7.1%)

Algorithm

1×	egg-herbie

Rules

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

Problems

252×	`(log.f64 (-.f64 1 x))`
3×	`(log.f64 (+.f64 1 x))`
1×	No Errors

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 37 to 28 computations (24.3% saved)

eval0.0ms (0%)

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

prune2.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
▶	2.7%	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
▶	100.0%	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
▶	2.7%	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))

Compiler

Compiled 34 to 26 computations (23.5% saved)

localize276.0ms (2.8%)

Localize:

Found 4 expressions with local error:

New	Accuracy	Program
✓	100.0%	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
✓	100.0%	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
✓	7.7%	(log.f64 (+.f64 1 x))
✓	7.7%	(log.f64 (-.f64 1 x))

Compiler

Compiled 41 to 24 computations (41.5% saved)

series10.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
2.0ms	x	@	inf	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
1.0ms	x	@	-inf	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
1.0ms	x	@	inf	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
0.0ms	x	@	inf	(log.f64 (-.f64 1 x))

rewrite181.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

794×	`unpow-prod-down`
680×	`prod-diff`
484×	`log1p-expm1-u`
482×	`expm1-log1p-u`
478×	`log-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	74
1	213	58
2	2329	18

Stop Event

1×	node limit

Counts

4 → 106

Calls

Call 1

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

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

simplify114.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

982×	`cancel-sign-sub-inv`
674×	`times-frac`
640×	`distribute-lft-out`
484×	`unswap-sqr`
482×	`sub-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	298	8892
1	878	8112
2	3447	7886

Stop Event

1×	node limit

Counts

154 → 198

Calls

Call 1

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

Outputs
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (.f64 -1 x) (.f64 -1/2 (pow.f64 x 2)))
(fma.f64 -1 x (*.f64 -1/2 (pow.f64 x 2)))
(-.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(.f64 x (+.f64 -1 (.f64 x -1/2)))
(+.f64 (.f64 -1 x) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/3 (pow.f64 x 3))))
(fma.f64 -1 x (fma.f64 -1/2 (pow.f64 x 2) (*.f64 -1/3 (pow.f64 x 3))))
(-.f64 (fma.f64 -1/2 (pow.f64 x 2) (*.f64 -1/3 (pow.f64 x 3))) x)
(-.f64 (.f64 (pow.f64 x 2) (+.f64 -1/2 (.f64 x -1/3))) x)
(+.f64 (.f64 -1 x) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (.f64 -1/4 (pow.f64 x 4)))))
(fma.f64 -1 x (fma.f64 -1/2 (pow.f64 x 2) (fma.f64 -1/3 (pow.f64 x 3) (*.f64 -1/4 (pow.f64 x 4)))))
(-.f64 (fma.f64 -1/2 (pow.f64 x 2) (fma.f64 -1/3 (pow.f64 x 3) (*.f64 -1/4 (pow.f64 x 4)))) x)
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 x))))
(+.f64 (log.f64 -1) (log.f64 x))
(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x)))) (/.f64 1 x))
(-.f64 (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 x)))) (/.f64 1 x))
(+.f64 (log.f64 x) (+.f64 (log.f64 -1) (/.f64 -1 x)))
(+.f64 (log.f64 -1) (+.f64 (log.f64 x) (/.f64 -1 x)))
(-.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)))
(+.f64 (log.f64 -1) (-.f64 (neg.f64 (neg.f64 (log.f64 x))) (+.f64 (/.f64 1 x) (/.f64 1/2 (pow.f64 x 2)))))
(+.f64 (log.f64 -1) (+.f64 (log.f64 x) (+.f64 (/.f64 -1 x) (/.f64 -1/2 (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))))
(+.f64 (log.f64 -1) (-.f64 (neg.f64 (neg.f64 (log.f64 x))) (+.f64 (+.f64 (/.f64 1 x) (/.f64 1/2 (pow.f64 x 2))) (/.f64 1/3 (pow.f64 x 3)))))
(+.f64 (log.f64 -1) (-.f64 (+.f64 (log.f64 x) (+.f64 (/.f64 -1 x) (/.f64 -1/2 (pow.f64 x 2)))) (/.f64 1/3 (pow.f64 x 3))))
(+.f64 (log.f64 x) (+.f64 (log.f64 -1) (+.f64 (/.f64 -1 x) (+.f64 (/.f64 -1/2 (pow.f64 x 2)) (/.f64 -1/3 (pow.f64 x 3))))))
(*.f64 -1 (log.f64 (/.f64 -1 x)))
(neg.f64 (log.f64 (/.f64 -1 x)))
(-.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (/.f64 1 x))
(-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (/.f64 1 x))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (/.f64 -1 x))
(-.f64 (/.f64 -1 x) (log.f64 (/.f64 -1 x)))
(-.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)))
(-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 1 x) (/.f64 1/2 (pow.f64 x 2))))
(+.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (/.f64 -1/2 (pow.f64 x 2))) (/.f64 -1 x))
(+.f64 (-.f64 (/.f64 -1 x) (log.f64 (/.f64 -1 x))) (/.f64 -1/2 (pow.f64 x 2)))
(-.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))))
(-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (+.f64 (+.f64 (/.f64 1 x) (/.f64 1/2 (pow.f64 x 2))) (/.f64 1/3 (pow.f64 x 3))))
(-.f64 (+.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (/.f64 -1/2 (pow.f64 x 2))) (/.f64 -1 x)) (/.f64 1/3 (pow.f64 x 3)))
(+.f64 (+.f64 (-.f64 (/.f64 -1 x) (log.f64 (/.f64 -1 x))) (/.f64 -1/2 (pow.f64 x 2))) (/.f64 -1/3 (pow.f64 x 3)))
x
(+.f64 x (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 -1/2 (pow.f64 x 2) x)
(+.f64 x (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 3))))
(+.f64 x (fma.f64 -1/2 (pow.f64 x 2) (*.f64 (pow.f64 x 3) 1/3)))
(+.f64 x (.f64 (pow.f64 x 2) (+.f64 -1/2 (.f64 x 1/3))))
(+.f64 x (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/4 (pow.f64 x 4)) (*.f64 1/3 (pow.f64 x 3)))))
(+.f64 x (fma.f64 -1/2 (pow.f64 x 2) (fma.f64 -1/4 (pow.f64 x 4) (*.f64 (pow.f64 x 3) 1/3))))
(+.f64 x (fma.f64 -1/2 (pow.f64 x 2) (fma.f64 (pow.f64 x 3) 1/3 (*.f64 -1/4 (pow.f64 x 4)))))
(+.f64 (fma.f64 -1/2 (pow.f64 x 2) x) (fma.f64 (pow.f64 x 3) 1/3 (*.f64 -1/4 (pow.f64 x 4))))
(*.f64 -1 (log.f64 (/.f64 1 x)))
(neg.f64 (neg.f64 (log.f64 x)))
(log.f64 x)
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 x))
(fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1 x))
(+.f64 (/.f64 1 x) (log.f64 x))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 x)) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1 x)) (/.f64 1/2 (pow.f64 x 2)))
(+.f64 (log.f64 x) (+.f64 (/.f64 1 x) (/.f64 -1/2 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3)))) (/.f64 1/2 (pow.f64 x 2)))
(+.f64 (+.f64 (/.f64 1/3 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (log.f64 x))) (/.f64 -1/2 (pow.f64 x 2)))
(+.f64 (log.f64 x) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 -1/2 (pow.f64 x 2)))))
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))
(-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (/.f64 1 x)))
(+.f64 (log.f64 -1) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (/.f64 1 x)))
(+.f64 (log.f64 -1) (-.f64 (/.f64 1 x) (log.f64 (/.f64 -1 x))))
(+.f64 (/.f64 1 x) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (/.f64 1 x))) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 -1) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (/.f64 1 x))) (/.f64 1/2 (pow.f64 x 2)))
(+.f64 (log.f64 -1) (+.f64 (-.f64 (/.f64 1 x) (log.f64 (/.f64 -1 x))) (/.f64 -1/2 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 -1) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))))) (/.f64 1/2 (pow.f64 x 2)))
(+.f64 (+.f64 (+.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (/.f64 1/3 (pow.f64 x 3))) (/.f64 1 x)) (/.f64 -1/2 (pow.f64 x 2)))
(+.f64 (+.f64 (/.f64 1 x) (-.f64 (/.f64 1/3 (pow.f64 x 3)) (log.f64 (/.f64 -1 x)))) (+.f64 (log.f64 -1) (/.f64 -1/2 (pow.f64 x 2))))
-1
(-.f64 (*.f64 -1 x) 1)
(fma.f64 -1 x -1)
(-.f64 -1 x)
(-.f64 (+.f64 (.f64 -1 x) (.f64 -1/2 (pow.f64 x 2))) 1)
(+.f64 (fma.f64 -1 x (*.f64 -1/2 (pow.f64 x 2))) -1)
(fma.f64 -1 x (fma.f64 -1/2 (pow.f64 x 2) -1))
(-.f64 (fma.f64 -1/2 (pow.f64 x 2) -1) x)
(-.f64 (+.f64 (.f64 -1 x) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3)))) 1)
(+.f64 (fma.f64 -1 x (fma.f64 -1/2 (pow.f64 x 2) (*.f64 (pow.f64 x 3) -5/12))) -1)
(+.f64 -1 (-.f64 (fma.f64 -1/2 (pow.f64 x 2) (*.f64 (pow.f64 x 3) -5/12)) x))
(+.f64 (.f64 (pow.f64 x 2) (+.f64 -1/2 (.f64 x -5/12))) (-.f64 -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 (neg.f64 (.f64 (log.f64 x) x))) (/.f64 (+.f64 (log.f64 -1) (log.f64 x)) (neg.f64 (log.f64 x)))) (/.f64 (log.f64 -1) (.f64 x (pow.f64 (neg.f64 (log.f64 x)) 2))))
(-.f64 (/.f64 (-.f64 (/.f64 2 (neg.f64 (log.f64 x))) (/.f64 (log.f64 -1) (pow.f64 (neg.f64 (log.f64 x)) 2))) x) (/.f64 (+.f64 (log.f64 -1) (log.f64 x)) (neg.f64 (log.f64 x))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 x)))) (log.f64 (/.f64 1 x)))) (+.f64 (.f64 2 (/.f64 1 (.f64 x (log.f64 (/.f64 1 x))))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) (log.f64 (/.f64 1 x))))))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 2 (/.f64 1 (log.f64 (/.f64 1 x)))) (/.f64 (log.f64 -1) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (.f64 (pow.f64 x 2) (log.f64 (/.f64 1 x))))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 x)))) (.f64 (pow.f64 x 2) (pow.f64 (log.f64 (/.f64 1 x)) 2)))) (/.f64 (log.f64 -1) (*.f64 x (pow.f64 (log.f64 (/.f64 1 x)) 2))))))
(-.f64 (+.f64 (fma.f64 -1 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 x)))) (neg.f64 (log.f64 x))) (/.f64 (/.f64 2 x) (neg.f64 (log.f64 x)))) (/.f64 1/2 (.f64 (pow.f64 x 2) (neg.f64 (log.f64 x))))) (fma.f64 -1 (/.f64 (-.f64 (/.f64 2 (neg.f64 (log.f64 x))) (/.f64 (log.f64 -1) (pow.f64 (neg.f64 (log.f64 x)) 2))) (.f64 (pow.f64 x 2) (neg.f64 (log.f64 x)))) (fma.f64 -1/2 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 x)))) (.f64 (pow.f64 x 2) (pow.f64 (neg.f64 (log.f64 x)) 2))) (/.f64 (log.f64 -1) (.f64 x (pow.f64 (neg.f64 (log.f64 x)) 2))))))
(-.f64 (+.f64 (-.f64 (/.f64 2 (neg.f64 (.f64 (log.f64 x) x))) (/.f64 (+.f64 (log.f64 -1) (log.f64 x)) (neg.f64 (log.f64 x)))) (/.f64 (/.f64 1/2 (pow.f64 x 2)) (neg.f64 (log.f64 x)))) (-.f64 (fma.f64 -1/2 (/.f64 (+.f64 (log.f64 -1) (log.f64 x)) (.f64 (pow.f64 x 2) (pow.f64 (neg.f64 (log.f64 x)) 2))) (/.f64 (log.f64 -1) (.f64 x (pow.f64 (neg.f64 (log.f64 x)) 2)))) (/.f64 (-.f64 (/.f64 2 (neg.f64 (log.f64 x))) (/.f64 (log.f64 -1) (pow.f64 (neg.f64 (log.f64 x)) 2))) (.f64 (pow.f64 x 2) (neg.f64 (log.f64 x))))))
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(*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 x))) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 8)))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 x) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (log1p.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 5/2)) (cbrt.f64 (sqrt.f64 (log1p.f64 x))))
(pow.f64 (log1p.f64 x) 1)
(log1p.f64 x)
(pow.f64 (cbrt.f64 (log1p.f64 x)) 3)
(log1p.f64 x)
(pow.f64 (pow.f64 (log1p.f64 x) 2) 1/2)
(log1p.f64 x)
(pow.f64 (pow.f64 (log1p.f64 x) 3) 1/3)
(log1p.f64 x)
(pow.f64 (sqrt.f64 (log1p.f64 x)) 2)
(log1p.f64 x)
(neg.f64 (log.f64 (/.f64 (fma.f64 x (-.f64 x 1) 1) (+.f64 1 (pow.f64 x 3)))))
(+.f64 (log1p.f64 (pow.f64 x 3)) (neg.f64 (log.f64 (fma.f64 x (+.f64 x -1) 1))))
(-.f64 (log1p.f64 (pow.f64 x 3)) (log.f64 (fma.f64 x (+.f64 -1 x) 1)))
(-.f64 (log1p.f64 (pow.f64 x 3)) (log1p.f64 (*.f64 x (+.f64 -1 x))))
(neg.f64 (log.f64 (/.f64 (+.f64 1 x) (+.f64 1 (pow.f64 x 2)))))
(-.f64 (log1p.f64 (pow.f64 x 2)) (log1p.f64 x))
(sqrt.f64 (pow.f64 (log1p.f64 x) 2))
(log1p.f64 x)
(cbrt.f64 (pow.f64 (log1p.f64 x) 3))
(log1p.f64 x)
(expm1.f64 (log1p.f64 (log1p.f64 x)))
(log1p.f64 x)
(exp.f64 (log.f64 (log1p.f64 x)))
(log1p.f64 x)
(exp.f64 (*.f64 (log.f64 (log1p.f64 x)) 1))
(log1p.f64 x)
(exp.f64 (.f64 (.f64 (log.f64 (log1p.f64 x)) 1) 1))
(log1p.f64 x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 x))) 3))
(log1p.f64 x)
(exp.f64 (*.f64 (log.f64 (pow.f64 (log1p.f64 x) 3)) 1/3))
(log1p.f64 x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 x))) 2))
(log1p.f64 x)
(exp.f64 (+.f64 (*.f64 (log.f64 (log1p.f64 x)) 1) 0))
(log1p.f64 x)
(exp.f64 (+.f64 0 (*.f64 (log.f64 (log1p.f64 x)) 1)))
(log1p.f64 x)
(log1p.f64 x)
(+.f64 (log1p.f64 x) 0)
(log1p.f64 x)
(+.f64 (log1p.f64 (pow.f64 x 3)) (log.f64 (/.f64 1 (fma.f64 x (-.f64 x 1) 1))))
(+.f64 (log1p.f64 (pow.f64 x 3)) (neg.f64 (log.f64 (fma.f64 x (+.f64 x -1) 1))))
(-.f64 (log1p.f64 (pow.f64 x 3)) (log.f64 (fma.f64 x (+.f64 -1 x) 1)))
(-.f64 (log1p.f64 (pow.f64 x 3)) (log1p.f64 (*.f64 x (+.f64 -1 x))))
(+.f64 (log1p.f64 (pow.f64 x 2)) (neg.f64 (log1p.f64 x)))
(-.f64 (log1p.f64 (pow.f64 x 2)) (log1p.f64 x))
(+.f64 (.f64 2 (.f64 1/3 (log1p.f64 x))) (*.f64 1/3 (log1p.f64 x)))
(log1p.f64 x)
(+.f64 (.f64 1/3 (log1p.f64 x)) (.f64 2 (*.f64 1/3 (log1p.f64 x))))
(log1p.f64 x)
(+.f64 (.f64 1/2 (log1p.f64 x)) (.f64 1/2 (log1p.f64 x)))
(log1p.f64 x)
(+.f64 0 (log1p.f64 x))
(log1p.f64 x)
(+.f64 (log.f64 (/.f64 (+.f64 1 (pow.f64 x 2)) (+.f64 1 (pow.f64 x 3)))) (log1p.f64 (fma.f64 x x x)))
(+.f64 (log.f64 (/.f64 (+.f64 (pow.f64 x 2) 1) (+.f64 (pow.f64 x 3) 1))) (log1p.f64 (fma.f64 x x x)))
(-.f64 (+.f64 (log1p.f64 (fma.f64 x x x)) (log1p.f64 (pow.f64 x 2))) (log1p.f64 (pow.f64 x 3)))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 x))) 1)
(log1p.f64 x)
(-.f64 (log1p.f64 (pow.f64 x 3)) (log1p.f64 (fma.f64 x x x)))
(-.f64 (log1p.f64 (pow.f64 x 3)) (log.f64 (fma.f64 x x (+.f64 1 x))))
(-.f64 (log1p.f64 (pow.f64 x 3)) (log.f64 (fma.f64 x x (+.f64 x 1))))
(-.f64 (log1p.f64 (pow.f64 x 3)) (log.f64 (+.f64 (fma.f64 x x 1) x)))
(-.f64 (log1p.f64 (pow.f64 x 2)) (log1p.f64 x))
(-.f64 0 (log.f64 (/.f64 (fma.f64 x (-.f64 x 1) 1) (+.f64 1 (pow.f64 x 3)))))
(+.f64 (log1p.f64 (pow.f64 x 3)) (neg.f64 (log.f64 (fma.f64 x (+.f64 x -1) 1))))
(-.f64 (log1p.f64 (pow.f64 x 3)) (log.f64 (fma.f64 x (+.f64 -1 x) 1)))
(-.f64 (log1p.f64 (pow.f64 x 3)) (log1p.f64 (*.f64 x (+.f64 -1 x))))
(-.f64 0 (log.f64 (/.f64 (+.f64 1 x) (+.f64 1 (pow.f64 x 2)))))
(-.f64 (log1p.f64 (pow.f64 x 2)) (log1p.f64 x))
(-.f64 (log.f64 (neg.f64 (+.f64 1 (pow.f64 x 2)))) (log.f64 (neg.f64 (+.f64 1 x))))
(-.f64 (log.f64 (+.f64 -1 (neg.f64 (pow.f64 x 2)))) (log.f64 (+.f64 -1 (neg.f64 x))))
(-.f64 (log.f64 (-.f64 -1 (pow.f64 x 2))) (log.f64 (-.f64 -1 x)))
(-.f64 (log.f64 (neg.f64 (+.f64 1 (pow.f64 x 3)))) (log.f64 (neg.f64 (fma.f64 x (-.f64 x 1) 1))))
(-.f64 (log.f64 (+.f64 -1 (neg.f64 (pow.f64 x 3)))) (log.f64 (neg.f64 (fma.f64 x (+.f64 x -1) 1))))
(-.f64 (log.f64 (-.f64 -1 (pow.f64 x 3))) (log.f64 (neg.f64 (fma.f64 x (+.f64 -1 x) 1))))
(-.f64 (log.f64 (fma.f64 x x -1)) (log.f64 (-.f64 x 1)))
(-.f64 (log.f64 (fma.f64 x x -1)) (log.f64 (+.f64 x -1)))
(-.f64 (log.f64 (fma.f64 x x -1)) (log.f64 (+.f64 -1 x)))
(-.f64 (log.f64 (/.f64 (+.f64 1 (pow.f64 x 2)) 1)) (log1p.f64 x))
(-.f64 (log1p.f64 (pow.f64 x 2)) (log1p.f64 x))
(-.f64 (log.f64 (/.f64 (+.f64 1 (pow.f64 x 2)) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))) (*.f64 1/3 (log1p.f64 x)))
(+.f64 (log.f64 (/.f64 (+.f64 (pow.f64 x 2) 1) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))) (*.f64 -1/3 (log1p.f64 x)))
(+.f64 (-.f64 (log1p.f64 (pow.f64 x 2)) (.f64 2 (log.f64 (cbrt.f64 (+.f64 x 1))))) (.f64 -1/3 (log1p.f64 x)))
(+.f64 (+.f64 (log1p.f64 (pow.f64 x 2)) (.f64 -2 (log.f64 (cbrt.f64 (+.f64 x 1))))) (.f64 -1/3 (log1p.f64 x)))
(-.f64 (log.f64 (/.f64 (+.f64 1 (pow.f64 x 2)) (sqrt.f64 (+.f64 1 x)))) (*.f64 1/2 (log1p.f64 x)))
(+.f64 (log.f64 (/.f64 (+.f64 (pow.f64 x 2) 1) (sqrt.f64 (+.f64 x 1)))) (*.f64 -1/2 (log1p.f64 x)))
(+.f64 (-.f64 (log1p.f64 (pow.f64 x 2)) (log.f64 (sqrt.f64 (+.f64 x 1)))) (*.f64 -1/2 (log1p.f64 x)))
(+.f64 (-.f64 (log1p.f64 (pow.f64 x 2)) (log.f64 (hypot.f64 1 (sqrt.f64 x)))) (*.f64 -1/2 (log1p.f64 x)))
(*.f64 1 (log1p.f64 x))
(log1p.f64 x)
(*.f64 (log1p.f64 x) 1)
(log1p.f64 x)
(*.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))
(log1p.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)))
(log1p.f64 x)
(*.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)))
(log1p.f64 x)
(.f64 3 (.f64 1/3 (log1p.f64 x)))
(log1p.f64 x)
(.f64 2 (.f64 1/2 (log1p.f64 x)))
(log1p.f64 x)
(.f64 1/3 (.f64 3 (log1p.f64 x)))
(log1p.f64 x)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 x))) 2) 3) (cbrt.f64 (log1p.f64 x)))
(log1p.f64 x)
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 x))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 x))) 3))
(log1p.f64 x)
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 x) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 x) 3)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (log1p.f64 x) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (log1p.f64 x) 3))))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 3/2)) (cbrt.f64 (pow.f64 (log1p.f64 x) 3/2)))
(.f64 (pow.f64 (pow.f64 (.f64 (log1p.f64 x) (cbrt.f64 (log1p.f64 x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (log1p.f64 x))))
(.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 x))) (cbrt.f64 (pow.f64 (.f64 (log1p.f64 x) (cbrt.f64 (log1p.f64 x))) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 x))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 4) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 x))) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 8)))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 x) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (log1p.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 5/2)) (cbrt.f64 (sqrt.f64 (log1p.f64 x))))
(pow.f64 (log1p.f64 x) 1)
(log1p.f64 x)
(pow.f64 (cbrt.f64 (log1p.f64 x)) 3)
(log1p.f64 x)
(pow.f64 (pow.f64 (log1p.f64 x) 2) 1/2)
(log1p.f64 x)
(pow.f64 (pow.f64 (log1p.f64 x) 3) 1/3)
(log1p.f64 x)
(pow.f64 (sqrt.f64 (log1p.f64 x)) 2)
(log1p.f64 x)
(neg.f64 (log.f64 (/.f64 (fma.f64 x (-.f64 x 1) 1) (+.f64 1 (pow.f64 x 3)))))
(+.f64 (log1p.f64 (pow.f64 x 3)) (neg.f64 (log.f64 (fma.f64 x (+.f64 x -1) 1))))
(-.f64 (log1p.f64 (pow.f64 x 3)) (log.f64 (fma.f64 x (+.f64 -1 x) 1)))
(-.f64 (log1p.f64 (pow.f64 x 3)) (log1p.f64 (*.f64 x (+.f64 -1 x))))
(neg.f64 (log.f64 (/.f64 (+.f64 1 x) (+.f64 1 (pow.f64 x 2)))))
(-.f64 (log1p.f64 (pow.f64 x 2)) (log1p.f64 x))
(sqrt.f64 (pow.f64 (log1p.f64 x) 2))
(log1p.f64 x)
(cbrt.f64 (pow.f64 (log1p.f64 x) 3))
(log1p.f64 x)
(expm1.f64 (log1p.f64 (log1p.f64 x)))
(log1p.f64 x)
(exp.f64 (log.f64 (log1p.f64 x)))
(log1p.f64 x)
(exp.f64 (*.f64 (log.f64 (log1p.f64 x)) 1))
(log1p.f64 x)
(exp.f64 (.f64 (.f64 (log.f64 (log1p.f64 x)) 1) 1))
(log1p.f64 x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 x))) 3))
(log1p.f64 x)
(exp.f64 (*.f64 (log.f64 (pow.f64 (log1p.f64 x) 3)) 1/3))
(log1p.f64 x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 x))) 2))
(log1p.f64 x)
(exp.f64 (+.f64 (*.f64 (log.f64 (log1p.f64 x)) 1) 0))
(log1p.f64 x)
(exp.f64 (+.f64 0 (*.f64 (log.f64 (log1p.f64 x)) 1)))
(log1p.f64 x)
(log1p.f64 x)
1
1

eval118.0ms (1.2%)

Compiler: Compiled 5615 to 4298 computations (23.5% saved)

prune107.0ms (1.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	194	4	198
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	195	5	200

Accuracy

100.0%

Counts

200 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
▶	99.5%	(-.f64 (+.f64 (.f64 -1 x) (.f64 -1/2 (pow.f64 x 2))) 1)
▶	99.3%	(-.f64 -1 x)
▶	99.6%	(+.f64 (.f64 (pow.f64 x 2) (+.f64 -1/2 (.f64 x -5/12))) (-.f64 -1 x))
	98.4%	-1
✓	100.0%	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
▶	99.5%	(-.f64 (+.f64 (.f64 -1 x) (.f64 -1/2 (pow.f64 x 2))) 1)
▶	99.3%	(-.f64 -1 x)
▶	99.6%	(+.f64 (.f64 (pow.f64 x 2) (+.f64 -1/2 (.f64 x -5/12))) (-.f64 -1 x))
	98.4%	-1

Compiler

Compiled 78 to 62 computations (20.5% saved)

localize147.0ms (1.5%)

Localize:

Found 4 expressions with local error:

New	Accuracy	Program
✓	100.0%	(*.f64 -1/2 (pow.f64 x 2))
✓	100.0%	(+.f64 (.f64 (pow.f64 x 2) (+.f64 -1/2 (.f64 x -5/12))) (-.f64 -1 x))
✓	100.0%	(.f64 (pow.f64 x 2) (+.f64 -1/2 (.f64 x -5/12)))
✓	99.5%	(*.f64 x -5/12)

Compiler

Compiled 84 to 64 computations (23.8% saved)

series4.0ms (0%)

Counts

4 → 36

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(*.f64 x -5/12)
1.0ms	x	@	inf	(.f64 (pow.f64 x 2) (+.f64 -1/2 (.f64 x -5/12)))
0.0ms	x	@	0	(.f64 (pow.f64 x 2) (+.f64 -1/2 (.f64 x -5/12)))
0.0ms	x	@	inf	(*.f64 -1/2 (pow.f64 x 2))
0.0ms	x	@	-inf	(.f64 (pow.f64 x 2) (+.f64 -1/2 (.f64 x -5/12)))

rewrite129.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1398×	`fma-def`
1152×	`log1p-expm1-u`
1152×	`expm1-log1p-u`
356×	`expm1-udef`
356×	`log1p-udef`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	99
1	216	91
2	3131	91

Stop Event

1×	node limit

Counts

4 → 159

Calls

Call 1

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

Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 x -5/12))) 1)
(pow.f64 (*.f64 x -5/12) 1)
(pow.f64 (cbrt.f64 (*.f64 x -5/12)) 3)
(pow.f64 (*.f64 (pow.f64 x 3) -125/1728) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x -5/12)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 2) 25/144))
(log.f64 (pow.f64 (exp.f64 x) -5/12))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x -5/12))))
(cbrt.f64 (*.f64 (pow.f64 x 3) -125/1728))
(expm1.f64 (log1p.f64 (*.f64 x -5/12)))
(exp.f64 (log.f64 (*.f64 x -5/12)))
(exp.f64 (.f64 (log.f64 (.f64 x -5/12)) 1))
(log1p.f64 (expm1.f64 (*.f64 x -5/12)))
(+.f64 (.f64 (pow.f64 x 2) -1/2) (.f64 -5/12 (pow.f64 x 3)))
(+.f64 (.f64 (pow.f64 x 2) -1/2) (.f64 (*.f64 -5/12 (pow.f64 x 3)) 1))
(+.f64 (.f64 -5/12 (pow.f64 x 3)) (.f64 (pow.f64 x 2) -1/2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x 2) (fma.f64 x -5/12 -1/2)))) 1)
(/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 x 2) -1/2) 3) (pow.f64 (.f64 -5/12 (pow.f64 x 3)) 3)) (fma.f64 (pow.f64 x 4) 1/4 (-.f64 (.f64 (.f64 -5/12 (pow.f64 x 3)) (.f64 -5/12 (pow.f64 x 3))) (.f64 (.f64 (pow.f64 x 2) -1/2) (.f64 -5/12 (pow.f64 x 3))))))
(/.f64 (-.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (.f64 -5/12 (pow.f64 x 3)) (.f64 -5/12 (pow.f64 x 3)))) (-.f64 (.f64 (pow.f64 x 2) -1/2) (.f64 -5/12 (pow.f64 x 3))))
(/.f64 (.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 3) -125/1728 -1/8)) (fma.f64 (.f64 x -5/12) (-.f64 (*.f64 x -5/12) -1/2) 1/4))
(/.f64 (.f64 (pow.f64 x 2) (-.f64 1/4 (.f64 (pow.f64 x 2) 25/144))) (+.f64 -1/2 (*.f64 5/12 x)))
(/.f64 (.f64 (fma.f64 (pow.f64 x 3) -125/1728 -1/8) (pow.f64 x 2)) (fma.f64 (.f64 x -5/12) (-.f64 (*.f64 x -5/12) -1/2) 1/4))
(/.f64 (.f64 (-.f64 1/4 (.f64 (pow.f64 x 2) 25/144)) (pow.f64 x 2)) (+.f64 -1/2 (*.f64 5/12 x)))
(pow.f64 (*.f64 (pow.f64 x 2) (fma.f64 x -5/12 -1/2)) 1)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 2) (fma.f64 x -5/12 -1/2))) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 x 2) (fma.f64 x -5/12 -1/2)) 3) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2))) 2)
(sqrt.f64 (*.f64 (pow.f64 x 4) (pow.f64 (fma.f64 x -5/12 -1/2) 2)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) (fma.f64 x -5/12 -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x 2) (fma.f64 x -5/12 -1/2)))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 2) (fma.f64 x -5/12 -1/2)) 3))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 2) (fma.f64 x -5/12 -1/2))))
(exp.f64 (log.f64 (*.f64 (pow.f64 x 2) (fma.f64 x -5/12 -1/2))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x 2) (fma.f64 x -5/12 -1/2))) 1))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 2) (fma.f64 x -5/12 -1/2))))
(fma.f64 x (.f64 x (.f64 x -5/12)) (*.f64 (pow.f64 x 2) -1/2))
(fma.f64 x (.f64 -5/12 (pow.f64 x 2)) (.f64 (pow.f64 x 2) -1/2))
(fma.f64 x (.f64 x -1/2) (.f64 -5/12 (pow.f64 x 3)))
(fma.f64 x (.f64 x -1/2) (.f64 (*.f64 -5/12 (pow.f64 x 3)) 1))
(fma.f64 -5/12 (pow.f64 x 3) (*.f64 (pow.f64 x 2) -1/2))
(fma.f64 (.f64 x -5/12) (pow.f64 x 2) (.f64 (pow.f64 x 2) -1/2))
(fma.f64 (pow.f64 x 2) (.f64 x -5/12) (.f64 (pow.f64 x 2) -1/2))
(fma.f64 (pow.f64 x 2) -1/2 (*.f64 -5/12 (pow.f64 x 3)))
(fma.f64 (pow.f64 x 2) -1/2 (.f64 (.f64 -5/12 (pow.f64 x 3)) 1))
(fma.f64 -1/2 (pow.f64 x 2) (*.f64 -5/12 (pow.f64 x 3)))
(fma.f64 -1/2 (pow.f64 x 2) (.f64 (.f64 -5/12 (pow.f64 x 3)) 1))
(fma.f64 (.f64 (pow.f64 x 2) -1/2) 1 (.f64 -5/12 (pow.f64 x 3)))
(fma.f64 (.f64 (pow.f64 x 2) -1/2) 1 (.f64 (*.f64 -5/12 (pow.f64 x 3)) 1))
(fma.f64 1 (.f64 (pow.f64 x 2) -1/2) (.f64 -5/12 (pow.f64 x 3)))
(fma.f64 1 (.f64 (pow.f64 x 2) -1/2) (.f64 (*.f64 -5/12 (pow.f64 x 3)) 1))
(fma.f64 1 (.f64 -5/12 (pow.f64 x 3)) (.f64 (pow.f64 x 2) -1/2))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (.f64 (pow.f64 (cbrt.f64 x) 2) -1/2) (.f64 -5/12 (pow.f64 x 3)))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (.f64 (pow.f64 (cbrt.f64 x) 2) -1/2) (.f64 (*.f64 -5/12 (pow.f64 x 3)) 1))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 x -5/12)) (*.f64 (pow.f64 x 2) -1/2))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 2) -1/2)) (cbrt.f64 (.f64 (pow.f64 x 4) 1/4)) (*.f64 -5/12 (pow.f64 x 3)))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 2) -1/2)) (cbrt.f64 (.f64 (pow.f64 x 4) 1/4)) (.f64 (.f64 -5/12 (pow.f64 x 3)) 1))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/4)) (cbrt.f64 (.f64 (pow.f64 x 2) -1/2)) (*.f64 -5/12 (pow.f64 x 3)))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/4)) (cbrt.f64 (.f64 (pow.f64 x 2) -1/2)) (.f64 (.f64 -5/12 (pow.f64 x 3)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x -5/12)) 2) (.f64 (cbrt.f64 (.f64 x -5/12)) (pow.f64 x 2)) (.f64 (pow.f64 x 2) -1/2))
(fma.f64 (pow.f64 x 3) -5/12 (*.f64 (pow.f64 x 2) -1/2))
(fma.f64 (.f64 x (sqrt.f64 -1/2)) (.f64 x (sqrt.f64 -1/2)) (*.f64 -5/12 (pow.f64 x 3)))
(fma.f64 (.f64 x (sqrt.f64 -1/2)) (.f64 x (sqrt.f64 -1/2)) (.f64 (.f64 -5/12 (pow.f64 x 3)) 1))
(fma.f64 (sqrt.f64 (.f64 x -5/12)) (.f64 (sqrt.f64 (.f64 x -5/12)) (pow.f64 x 2)) (.f64 (pow.f64 x 2) -1/2))
(fma.f64 (.f64 (cbrt.f64 (.f64 -5/12 (pow.f64 x 3))) (cbrt.f64 (.f64 -5/12 (pow.f64 x 3)))) (cbrt.f64 (.f64 -5/12 (pow.f64 x 3))) (*.f64 (pow.f64 x 2) -1/2))
(fma.f64 (sqrt.f64 (.f64 -5/12 (pow.f64 x 3))) (sqrt.f64 (.f64 -5/12 (pow.f64 x 3))) (*.f64 (pow.f64 x 2) -1/2))
(fma.f64 (.f64 (sqrt.f64 (.f64 x -5/12)) x) (.f64 (sqrt.f64 (.f64 x -5/12)) x) (*.f64 (pow.f64 x 2) -1/2))
(fma.f64 (.f64 x (sqrt.f64 (.f64 x -5/12))) (.f64 x (sqrt.f64 (.f64 x -5/12))) (*.f64 (pow.f64 x 2) -1/2))
(fma.f64 (.f64 (.f64 x -5/12) x) x (*.f64 (pow.f64 x 2) -1/2))
(fma.f64 (.f64 -1/2 x) x (.f64 -5/12 (pow.f64 x 3)))
(fma.f64 (.f64 -1/2 x) x (.f64 (*.f64 -5/12 (pow.f64 x 3)) 1))
(fma.f64 (.f64 (.f64 x -5/12) (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2) (*.f64 (pow.f64 x 2) -1/2))
(fma.f64 (.f64 -1/2 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2) (.f64 -5/12 (pow.f64 x 3)))
(fma.f64 (.f64 -1/2 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2) (.f64 (*.f64 -5/12 (pow.f64 x 3)) 1))
(fma.f64 (.f64 (pow.f64 x 2) -5/12) x (.f64 (pow.f64 x 2) -1/2))
(fma.f64 (.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 (.f64 x -5/12)) 2)) (cbrt.f64 (.f64 x -5/12)) (.f64 (pow.f64 x 2) -1/2))
(fma.f64 (.f64 (pow.f64 x 2) (sqrt.f64 (.f64 x -5/12))) (sqrt.f64 (.f64 x -5/12)) (.f64 (pow.f64 x 2) -1/2))
(-.f64 -1 (-.f64 x (*.f64 (pow.f64 x 2) (fma.f64 x -5/12 -1/2))))
(-.f64 (fma.f64 (pow.f64 x 2) (fma.f64 x -5/12 -1/2) -1) x)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (pow.f64 x 2) (fma.f64 x -5/12 -1/2) (-.f64 -1 x)))) 1)
(-.f64 (/.f64 (.f64 (pow.f64 x 4) (pow.f64 (fma.f64 x -5/12 -1/2) 2)) (+.f64 (-.f64 (.f64 (pow.f64 x 2) (fma.f64 x -5/12 -1/2)) -1) x)) (/.f64 (pow.f64 (-.f64 -1 x) 2) (+.f64 (-.f64 (*.f64 (pow.f64 x 2) (fma.f64 x -5/12 -1/2)) -1) x)))
(*.f64 (fma.f64 (pow.f64 x 2) (fma.f64 x -5/12 -1/2) (-.f64 -1 x)) 1)
(*.f64 1 (fma.f64 (pow.f64 x 2) (fma.f64 x -5/12 -1/2) (-.f64 -1 x)))
(*.f64 (cbrt.f64 (fma.f64 (pow.f64 x 2) (fma.f64 x -5/12 -1/2) (-.f64 -1 x))) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 2) (fma.f64 x -5/12 -1/2) (-.f64 -1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 2) (fma.f64 x -5/12 -1/2) (-.f64 -1 x))) 2) (cbrt.f64 (fma.f64 (pow.f64 x 2) (fma.f64 x -5/12 -1/2) (-.f64 -1 x))))
(*.f64 (sqrt.f64 (fma.f64 (pow.f64 x 2) (fma.f64 x -5/12 -1/2) (-.f64 -1 x))) (sqrt.f64 (fma.f64 (pow.f64 x 2) (fma.f64 x -5/12 -1/2) (-.f64 -1 x))))
(.f64 (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 (.f64 (pow.f64 x 2) (fma.f64 x -5/12 -1/2)) 3)) (/.f64 1 (fma.f64 (pow.f64 x 4) (pow.f64 (fma.f64 x -5/12 -1/2) 2) (.f64 (-.f64 -1 x) (-.f64 (-.f64 -1 x) (.f64 (pow.f64 x 2) (fma.f64 x -5/12 -1/2)))))))
(.f64 (fma.f64 (pow.f64 x 4) (pow.f64 (fma.f64 x -5/12 -1/2) 2) (neg.f64 (pow.f64 (-.f64 -1 x) 2))) (/.f64 1 (+.f64 (-.f64 (.f64 (pow.f64 x 2) (fma.f64 x -5/12 -1/2)) -1) x)))
(/.f64 1 (/.f64 (fma.f64 (pow.f64 x 4) (pow.f64 (fma.f64 x -5/12 -1/2) 2) (.f64 (-.f64 -1 x) (-.f64 (-.f64 -1 x) (.f64 (pow.f64 x 2) (fma.f64 x -5/12 -1/2))))) (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 (*.f64 (pow.f64 x 2) (fma.f64 x -5/12 -1/2)) 3))))
(/.f64 1 (/.f64 (+.f64 (-.f64 (*.f64 (pow.f64 x 2) (fma.f64 x -5/12 -1/2)) -1) x) (fma.f64 (pow.f64 x 4) (pow.f64 (fma.f64 x -5/12 -1/2) 2) (neg.f64 (pow.f64 (-.f64 -1 x) 2)))))
(/.f64 (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 (.f64 (pow.f64 x 2) (fma.f64 x -5/12 -1/2)) 3)) (fma.f64 (pow.f64 x 4) (pow.f64 (fma.f64 x -5/12 -1/2) 2) (.f64 (-.f64 -1 x) (-.f64 (-.f64 -1 x) (*.f64 (pow.f64 x 2) (fma.f64 x -5/12 -1/2))))))
(/.f64 (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 (.f64 (pow.f64 x 2) (fma.f64 x -5/12 -1/2)) 3)) (+.f64 (pow.f64 (-.f64 -1 x) 2) (-.f64 (.f64 (pow.f64 x 4) (pow.f64 (fma.f64 x -5/12 -1/2) 2)) (.f64 (pow.f64 x 2) (.f64 (fma.f64 x -5/12 -1/2) (-.f64 -1 x))))))
(/.f64 (fma.f64 (pow.f64 x 4) (pow.f64 (fma.f64 x -5/12 -1/2) 2) (neg.f64 (pow.f64 (-.f64 -1 x) 2))) (+.f64 (-.f64 (*.f64 (pow.f64 x 2) (fma.f64 x -5/12 -1/2)) -1) x))
(/.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 (.f64 (pow.f64 x 2) (fma.f64 x -5/12 -1/2)) 3))) (neg.f64 (fma.f64 (pow.f64 x 4) (pow.f64 (fma.f64 x -5/12 -1/2) 2) (.f64 (-.f64 -1 x) (-.f64 (-.f64 -1 x) (*.f64 (pow.f64 x 2) (fma.f64 x -5/12 -1/2)))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 4) (pow.f64 (fma.f64 x -5/12 -1/2) 2) (neg.f64 (pow.f64 (-.f64 -1 x) 2)))) (neg.f64 (+.f64 (-.f64 (*.f64 (pow.f64 x 2) (fma.f64 x -5/12 -1/2)) -1) x)))
(/.f64 (-.f64 (pow.f64 (fma.f64 (pow.f64 x 2) (fma.f64 x -5/12 -1/2) -1) 3) (pow.f64 x 3)) (fma.f64 (fma.f64 (pow.f64 x 2) (fma.f64 x -5/12 -1/2) -1) (fma.f64 (pow.f64 x 2) (fma.f64 x -5/12 -1/2) -1) (fma.f64 x x (*.f64 (fma.f64 (pow.f64 x 2) (fma.f64 x -5/12 -1/2) -1) x))))
(/.f64 (-.f64 (pow.f64 (-.f64 -1 x) 2) (.f64 (pow.f64 x 4) (pow.f64 (fma.f64 x -5/12 -1/2) 2))) (-.f64 (-.f64 -1 x) (.f64 (pow.f64 x 2) (fma.f64 x -5/12 -1/2))))
(/.f64 (-.f64 (*.f64 (fma.f64 (pow.f64 x 2) (fma.f64 x -5/12 -1/2) -1) (fma.f64 (pow.f64 x 2) (fma.f64 x -5/12 -1/2) -1)) (pow.f64 x 2)) (+.f64 (fma.f64 (pow.f64 x 2) (fma.f64 x -5/12 -1/2) -1) x))
(pow.f64 (fma.f64 (pow.f64 x 2) (fma.f64 x -5/12 -1/2) (-.f64 -1 x)) 1)
(pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 2) (fma.f64 x -5/12 -1/2) (-.f64 -1 x))) 3)
(pow.f64 (pow.f64 (fma.f64 (pow.f64 x 2) (fma.f64 x -5/12 -1/2) (-.f64 -1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (pow.f64 x 2) (fma.f64 x -5/12 -1/2) (-.f64 -1 x))) 2)
(sqrt.f64 (pow.f64 (fma.f64 (pow.f64 x 2) (fma.f64 x -5/12 -1/2) (-.f64 -1 x)) 2))
(log.f64 (exp.f64 (fma.f64 (pow.f64 x 2) (fma.f64 x -5/12 -1/2) (-.f64 -1 x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (pow.f64 x 2) (fma.f64 x -5/12 -1/2) (-.f64 -1 x)))))
(cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x 2) (fma.f64 x -5/12 -1/2) (-.f64 -1 x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 x 2) (fma.f64 x -5/12 -1/2) (-.f64 -1 x))))
(exp.f64 (log.f64 (fma.f64 (pow.f64 x 2) (fma.f64 x -5/12 -1/2) (-.f64 -1 x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (pow.f64 x 2) (fma.f64 x -5/12 -1/2) (-.f64 -1 x))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (pow.f64 x 2) (fma.f64 x -5/12 -1/2) (-.f64 -1 x))))
(fma.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)) (-.f64 -1 x))
(fma.f64 x (*.f64 x -1/2) (fma.f64 -5/12 (pow.f64 x 3) (-.f64 -1 x)))
(fma.f64 (pow.f64 x 2) -1/2 (fma.f64 -5/12 (pow.f64 x 3) (-.f64 -1 x)))
(fma.f64 (pow.f64 x 2) (fma.f64 x -5/12 -1/2) (-.f64 -1 x))
(fma.f64 -1/2 (pow.f64 x 2) (fma.f64 -5/12 (pow.f64 x 3) (-.f64 -1 x)))
(fma.f64 (fma.f64 x -5/12 -1/2) (pow.f64 x 2) (-.f64 -1 x))
(fma.f64 (*.f64 (pow.f64 x 2) (fma.f64 x -5/12 -1/2)) 1 (-.f64 -1 x))
(fma.f64 (-.f64 -1 x) 1 (*.f64 (pow.f64 x 2) (fma.f64 x -5/12 -1/2)))
(fma.f64 (*.f64 (pow.f64 x 2) -1/2) 1 (fma.f64 -5/12 (pow.f64 x 3) (-.f64 -1 x)))
(fma.f64 1 (*.f64 (pow.f64 x 2) (fma.f64 x -5/12 -1/2)) (-.f64 -1 x))
(fma.f64 1 (-.f64 -1 x) (*.f64 (pow.f64 x 2) (fma.f64 x -5/12 -1/2)))
(fma.f64 1 (*.f64 (pow.f64 x 2) -1/2) (fma.f64 -5/12 (pow.f64 x 3) (-.f64 -1 x)))
(fma.f64 1 (fma.f64 (pow.f64 x 2) (fma.f64 x -5/12 -1/2) -1) (neg.f64 x))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (fma.f64 x -5/12 -1/2)) (-.f64 -1 x))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (pow.f64 (cbrt.f64 x) 2) -1/2) (fma.f64 -5/12 (pow.f64 x 3) (-.f64 -1 x)))
(fma.f64 (cbrt.f64 (-.f64 -1 x)) (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) (*.f64 (pow.f64 x 2) (fma.f64 x -5/12 -1/2)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) (cbrt.f64 (-.f64 -1 x)) (*.f64 (pow.f64 x 2) (fma.f64 x -5/12 -1/2)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x -5/12 -1/2)) 2) (*.f64 (cbrt.f64 (fma.f64 x -5/12 -1/2)) (pow.f64 x 2)) (-.f64 -1 x))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 2) -1/2)) (cbrt.f64 (.f64 (pow.f64 x 4) 1/4)) (fma.f64 -5/12 (pow.f64 x 3) (-.f64 -1 x)))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/4)) (cbrt.f64 (.f64 (pow.f64 x 2) -1/2)) (fma.f64 -5/12 (pow.f64 x 3) (-.f64 -1 x)))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 2) (fma.f64 x -5/12 -1/2))) (pow.f64 (cbrt.f64 (.f64 (pow.f64 x 2) (fma.f64 x -5/12 -1/2))) 2) (-.f64 -1 x))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 x 2) (fma.f64 x -5/12 -1/2))) 2) (cbrt.f64 (.f64 (pow.f64 x 2) (fma.f64 x -5/12 -1/2))) (-.f64 -1 x))
(fma.f64 (sqrt.f64 (-.f64 -1 x)) (sqrt.f64 (-.f64 -1 x)) (*.f64 (pow.f64 x 2) (fma.f64 x -5/12 -1/2)))
(fma.f64 (sqrt.f64 (fma.f64 x -5/12 -1/2)) (*.f64 (sqrt.f64 (fma.f64 x -5/12 -1/2)) (pow.f64 x 2)) (-.f64 -1 x))
(fma.f64 (.f64 x (sqrt.f64 -1/2)) (.f64 x (sqrt.f64 -1/2)) (fma.f64 -5/12 (pow.f64 x 3) (-.f64 -1 x)))
(fma.f64 (.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2))) (.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2))) (-.f64 -1 x))
(fma.f64 (-.f64 -1 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x -1) 1)) (*.f64 (pow.f64 x 2) (fma.f64 x -5/12 -1/2)))
(fma.f64 (-.f64 1 (pow.f64 x 2)) (/.f64 1 (+.f64 x -1)) (*.f64 (pow.f64 x 2) (fma.f64 x -5/12 -1/2)))
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 (pow.f64 x 2) (fma.f64 x -5/12 -1/2) -1)) (cbrt.f64 (fma.f64 (pow.f64 x 2) (fma.f64 x -5/12 -1/2) -1))) (cbrt.f64 (fma.f64 (pow.f64 x 2) (fma.f64 x -5/12 -1/2) -1)) (neg.f64 x))
(fma.f64 (sqrt.f64 (fma.f64 (pow.f64 x 2) (fma.f64 x -5/12 -1/2) -1)) (sqrt.f64 (fma.f64 (pow.f64 x 2) (fma.f64 x -5/12 -1/2) -1)) (neg.f64 x))
(fma.f64 (fma.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2)) 1) (-.f64 (*.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2))) 1) (neg.f64 x))
(fma.f64 (*.f64 -1/2 x) x (fma.f64 -5/12 (pow.f64 x 3) (-.f64 -1 x)))
(fma.f64 (*.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 (fma.f64 x -5/12 -1/2)) 2)) (cbrt.f64 (fma.f64 x -5/12 -1/2)) (-.f64 -1 x))
(fma.f64 (*.f64 (pow.f64 x 2) (sqrt.f64 (fma.f64 x -5/12 -1/2))) (sqrt.f64 (fma.f64 x -5/12 -1/2)) (-.f64 -1 x))
(fma.f64 (*.f64 (fma.f64 x -5/12 -1/2) x) x (-.f64 -1 x))
(fma.f64 (*.f64 (fma.f64 x -5/12 -1/2) (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2) (-.f64 -1 x))
(fma.f64 (*.f64 -1/2 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2) (fma.f64 -5/12 (pow.f64 x 3) (-.f64 -1 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x 2) -1/2))) 1)
(pow.f64 (*.f64 (pow.f64 x 2) -1/2) 1)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 2) -1/2)) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 x 2) -1/2) 3) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 -1/2)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/4))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) -1/2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x 2) -1/2))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 2) -1/2) 3))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 2) -1/2)))
(exp.f64 (log.f64 (*.f64 (pow.f64 x 2) -1/2)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x 2) -1/2)) 1))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 2) -1/2)))

simplify128.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

888×	`cancel-sign-sub-inv`
886×	`fma-neg`
548×	`associate-+l+`
534×	`associate-+r+`
470×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	352	8754
1	852	7664
2	2829	7380

Stop Event

1×	node limit

Counts

195 → 217

Calls

Call 1

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

Outputs
(*.f64 -5/12 x)
(*.f64 -5/12 x)
(*.f64 -5/12 x)
(*.f64 -5/12 x)
(*.f64 -5/12 x)
(*.f64 -5/12 x)
(*.f64 -5/12 x)
(*.f64 -5/12 x)
(*.f64 -5/12 x)
(*.f64 -5/12 x)
(*.f64 -5/12 x)
(*.f64 -5/12 x)
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -5/12 (pow.f64 x 3)))
(fma.f64 -5/12 (pow.f64 x 3) (*.f64 -1/2 (pow.f64 x 2)))
(*.f64 (pow.f64 x 2) (fma.f64 -5/12 x -1/2))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -5/12 (pow.f64 x 3)))
(fma.f64 -5/12 (pow.f64 x 3) (*.f64 -1/2 (pow.f64 x 2)))
(*.f64 (pow.f64 x 2) (fma.f64 -5/12 x -1/2))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -5/12 (pow.f64 x 3)))
(fma.f64 -5/12 (pow.f64 x 3) (*.f64 -1/2 (pow.f64 x 2)))
(*.f64 (pow.f64 x 2) (fma.f64 -5/12 x -1/2))
(*.f64 -5/12 (pow.f64 x 3))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -5/12 (pow.f64 x 3)))
(fma.f64 -5/12 (pow.f64 x 3) (*.f64 -1/2 (pow.f64 x 2)))
(*.f64 (pow.f64 x 2) (fma.f64 -5/12 x -1/2))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -5/12 (pow.f64 x 3)))
(fma.f64 -5/12 (pow.f64 x 3) (*.f64 -1/2 (pow.f64 x 2)))
(*.f64 (pow.f64 x 2) (fma.f64 -5/12 x -1/2))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -5/12 (pow.f64 x 3)))
(fma.f64 -5/12 (pow.f64 x 3) (*.f64 -1/2 (pow.f64 x 2)))
(*.f64 (pow.f64 x 2) (fma.f64 -5/12 x -1/2))
(*.f64 -5/12 (pow.f64 x 3))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -5/12 (pow.f64 x 3)))
(fma.f64 -5/12 (pow.f64 x 3) (*.f64 -1/2 (pow.f64 x 2)))
(*.f64 (pow.f64 x 2) (fma.f64 -5/12 x -1/2))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -5/12 (pow.f64 x 3)))
(fma.f64 -5/12 (pow.f64 x 3) (*.f64 -1/2 (pow.f64 x 2)))
(*.f64 (pow.f64 x 2) (fma.f64 -5/12 x -1/2))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -5/12 (pow.f64 x 3)))
(fma.f64 -5/12 (pow.f64 x 3) (*.f64 -1/2 (pow.f64 x 2)))
(*.f64 (pow.f64 x 2) (fma.f64 -5/12 x -1/2))
-1
(-.f64 (*.f64 -1 x) 1)
(fma.f64 -1 x -1)
(-.f64 -1 x)
(-.f64 (+.f64 (.f64 -1 x) (.f64 -1/2 (pow.f64 x 2))) 1)
(+.f64 (fma.f64 -1 x (*.f64 -1/2 (pow.f64 x 2))) -1)
(fma.f64 x -1 (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 -5/12 (pow.f64 x 3) (*.f64 -1/2 (pow.f64 x 2)))) -1)
(fma.f64 (pow.f64 x 2) (fma.f64 -5/12 x -1/2) (-.f64 -1 x))
(*.f64 -5/12 (pow.f64 x 3))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -5/12 (pow.f64 x 3)))
(fma.f64 -5/12 (pow.f64 x 3) (*.f64 -1/2 (pow.f64 x 2)))
(*.f64 (pow.f64 x 2) (fma.f64 -5/12 x -1/2))
(+.f64 (.f64 -1 x) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3))))
(fma.f64 -1 x (fma.f64 -5/12 (pow.f64 x 3) (*.f64 -1/2 (pow.f64 x 2))))
(-.f64 (*.f64 (pow.f64 x 2) (fma.f64 -5/12 x -1/2)) 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 -5/12 (pow.f64 x 3) (*.f64 -1/2 (pow.f64 x 2)))) -1)
(fma.f64 (pow.f64 x 2) (fma.f64 -5/12 x -1/2) (-.f64 -1 x))
(*.f64 -5/12 (pow.f64 x 3))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -5/12 (pow.f64 x 3)))
(fma.f64 -5/12 (pow.f64 x 3) (*.f64 -1/2 (pow.f64 x 2)))
(*.f64 (pow.f64 x 2) (fma.f64 -5/12 x -1/2))
(+.f64 (.f64 -1 x) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3))))
(fma.f64 -1 x (fma.f64 -5/12 (pow.f64 x 3) (*.f64 -1/2 (pow.f64 x 2))))
(-.f64 (*.f64 (pow.f64 x 2) (fma.f64 -5/12 x -1/2)) 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 -5/12 (pow.f64 x 3) (*.f64 -1/2 (pow.f64 x 2)))) -1)
(fma.f64 (pow.f64 x 2) (fma.f64 -5/12 x -1/2) (-.f64 -1 x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x -5/12))) 1)
(*.f64 -5/12 x)
(pow.f64 (*.f64 x -5/12) 1)
(*.f64 -5/12 x)
(pow.f64 (cbrt.f64 (*.f64 x -5/12)) 3)
(*.f64 -5/12 x)
(pow.f64 (*.f64 (pow.f64 x 3) -125/1728) 1/3)
(cbrt.f64 (*.f64 (pow.f64 x 3) -125/1728))
(pow.f64 (sqrt.f64 (*.f64 x -5/12)) 2)
(*.f64 -5/12 x)
(sqrt.f64 (*.f64 (pow.f64 x 2) 25/144))
(log.f64 (pow.f64 (exp.f64 x) -5/12))
(*.f64 -5/12 x)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x -5/12))))
(*.f64 -5/12 x)
(cbrt.f64 (*.f64 (pow.f64 x 3) -125/1728))
(expm1.f64 (log1p.f64 (*.f64 x -5/12)))
(*.f64 -5/12 x)
(exp.f64 (log.f64 (*.f64 x -5/12)))
(*.f64 -5/12 x)
(exp.f64 (.f64 (log.f64 (.f64 x -5/12)) 1))
(*.f64 -5/12 x)
(log1p.f64 (expm1.f64 (*.f64 x -5/12)))
(*.f64 -5/12 x)
(+.f64 (.f64 (pow.f64 x 2) -1/2) (.f64 -5/12 (pow.f64 x 3)))
(fma.f64 -5/12 (pow.f64 x 3) (*.f64 -1/2 (pow.f64 x 2)))
(*.f64 (pow.f64 x 2) (fma.f64 -5/12 x -1/2))
(+.f64 (.f64 (pow.f64 x 2) -1/2) (.f64 (*.f64 -5/12 (pow.f64 x 3)) 1))
(fma.f64 -5/12 (pow.f64 x 3) (*.f64 -1/2 (pow.f64 x 2)))
(*.f64 (pow.f64 x 2) (fma.f64 -5/12 x -1/2))
(+.f64 (.f64 -5/12 (pow.f64 x 3)) (.f64 (pow.f64 x 2) -1/2))
(fma.f64 -5/12 (pow.f64 x 3) (*.f64 -1/2 (pow.f64 x 2)))
(*.f64 (pow.f64 x 2) (fma.f64 -5/12 x -1/2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x 2) (fma.f64 x -5/12 -1/2)))) 1)
(fma.f64 -5/12 (pow.f64 x 3) (*.f64 -1/2 (pow.f64 x 2)))
(*.f64 (pow.f64 x 2) (fma.f64 -5/12 x -1/2))
(/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 x 2) -1/2) 3) (pow.f64 (.f64 -5/12 (pow.f64 x 3)) 3)) (fma.f64 (pow.f64 x 4) 1/4 (-.f64 (.f64 (.f64 -5/12 (pow.f64 x 3)) (.f64 -5/12 (pow.f64 x 3))) (.f64 (.f64 (pow.f64 x 2) -1/2) (.f64 -5/12 (pow.f64 x 3))))))
(/.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x 2) 3) -1/8) (.f64 -125/1728 (pow.f64 (pow.f64 x 3) 3))) (fma.f64 (pow.f64 x 4) 1/4 (.f64 (.f64 -5/12 (pow.f64 x 3)) (-.f64 (.f64 -5/12 (pow.f64 x 3)) (.f64 -1/2 (pow.f64 x 2))))))
(/.f64 (fma.f64 -125/1728 (pow.f64 (pow.f64 x 3) 3) (.f64 -1/8 (pow.f64 x 6))) (fma.f64 (pow.f64 x 4) 1/4 (-.f64 (.f64 25/144 (pow.f64 x 6)) (.f64 (pow.f64 x 2) (.f64 5/24 (pow.f64 x 3))))))
(/.f64 (fma.f64 -125/1728 (pow.f64 (pow.f64 x 3) 3) (.f64 -1/8 (pow.f64 x 6))) (fma.f64 (pow.f64 x 4) 1/4 (.f64 -5/12 (.f64 (pow.f64 x 3) (.f64 (pow.f64 x 2) (fma.f64 -5/12 x 1/2))))))
(/.f64 (-.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (.f64 -5/12 (pow.f64 x 3)) (.f64 -5/12 (pow.f64 x 3)))) (-.f64 (.f64 (pow.f64 x 2) -1/2) (.f64 -5/12 (pow.f64 x 3))))
(/.f64 (-.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 25/144 (.f64 (pow.f64 x 3) (pow.f64 x 3)))) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (*.f64 5/12 (pow.f64 x 3))))
(/.f64 (fma.f64 (pow.f64 x 4) 1/4 (.f64 -25/144 (pow.f64 x 6))) (fma.f64 -1/2 (pow.f64 x 2) (.f64 (pow.f64 x 3) 5/12)))
(/.f64 (fma.f64 (pow.f64 x 4) 1/4 (.f64 (pow.f64 x 6) -25/144)) (.f64 (pow.f64 x 2) (fma.f64 x 5/12 -1/2)))
(/.f64 (.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 3) -125/1728 -1/8)) (fma.f64 (.f64 x -5/12) (-.f64 (*.f64 x -5/12) -1/2) 1/4))
(/.f64 (fma.f64 (pow.f64 x 3) -125/1728 -1/8) (/.f64 (fma.f64 (*.f64 -5/12 x) (fma.f64 x -5/12 1/2) 1/4) (pow.f64 x 2)))
(.f64 (/.f64 (pow.f64 x 2) (fma.f64 (.f64 -5/12 x) (fma.f64 -5/12 x 1/2) 1/4)) (fma.f64 (pow.f64 x 3) -125/1728 -1/8))
(/.f64 (.f64 (pow.f64 x 2) (-.f64 1/4 (.f64 (pow.f64 x 2) 25/144))) (+.f64 -1/2 (*.f64 5/12 x)))
(/.f64 (pow.f64 x 2) (/.f64 (+.f64 -1/2 (.f64 x 5/12)) (-.f64 1/4 (.f64 (pow.f64 x 2) 25/144))))
(.f64 (/.f64 (pow.f64 x 2) (fma.f64 x 5/12 -1/2)) (+.f64 1/4 (.f64 (pow.f64 x 2) -25/144)))
(/.f64 (.f64 (fma.f64 (pow.f64 x 3) -125/1728 -1/8) (pow.f64 x 2)) (fma.f64 (.f64 x -5/12) (-.f64 (*.f64 x -5/12) -1/2) 1/4))
(/.f64 (fma.f64 (pow.f64 x 3) -125/1728 -1/8) (/.f64 (fma.f64 (*.f64 -5/12 x) (fma.f64 x -5/12 1/2) 1/4) (pow.f64 x 2)))
(.f64 (/.f64 (pow.f64 x 2) (fma.f64 (.f64 -5/12 x) (fma.f64 -5/12 x 1/2) 1/4)) (fma.f64 (pow.f64 x 3) -125/1728 -1/8))
(/.f64 (.f64 (-.f64 1/4 (.f64 (pow.f64 x 2) 25/144)) (pow.f64 x 2)) (+.f64 -1/2 (*.f64 5/12 x)))
(/.f64 (pow.f64 x 2) (/.f64 (+.f64 -1/2 (.f64 x 5/12)) (-.f64 1/4 (.f64 (pow.f64 x 2) 25/144))))
(.f64 (/.f64 (pow.f64 x 2) (fma.f64 x 5/12 -1/2)) (+.f64 1/4 (.f64 (pow.f64 x 2) -25/144)))
(pow.f64 (*.f64 (pow.f64 x 2) (fma.f64 x -5/12 -1/2)) 1)
(fma.f64 -5/12 (pow.f64 x 3) (*.f64 -1/2 (pow.f64 x 2)))
(*.f64 (pow.f64 x 2) (fma.f64 -5/12 x -1/2))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 2) (fma.f64 x -5/12 -1/2))) 3)
(fma.f64 -5/12 (pow.f64 x 3) (*.f64 -1/2 (pow.f64 x 2)))
(*.f64 (pow.f64 x 2) (fma.f64 -5/12 x -1/2))
(pow.f64 (pow.f64 (*.f64 (pow.f64 x 2) (fma.f64 x -5/12 -1/2)) 3) 1/3)
(fma.f64 -5/12 (pow.f64 x 3) (*.f64 -1/2 (pow.f64 x 2)))
(*.f64 (pow.f64 x 2) (fma.f64 -5/12 x -1/2))
(pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2))) 2)
(fma.f64 -5/12 (pow.f64 x 3) (*.f64 -1/2 (pow.f64 x 2)))
(*.f64 (pow.f64 x 2) (fma.f64 -5/12 x -1/2))
(sqrt.f64 (*.f64 (pow.f64 x 4) (pow.f64 (fma.f64 x -5/12 -1/2) 2)))
(sqrt.f64 (*.f64 (pow.f64 x 4) (pow.f64 (fma.f64 -5/12 x -1/2) 2)))
(fabs.f64 (*.f64 (pow.f64 x 2) (fma.f64 -5/12 x -1/2)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) (fma.f64 x -5/12 -1/2)))
(fma.f64 -5/12 (pow.f64 x 3) (*.f64 -1/2 (pow.f64 x 2)))
(*.f64 (pow.f64 x 2) (fma.f64 -5/12 x -1/2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x 2) (fma.f64 x -5/12 -1/2)))))
(fma.f64 -5/12 (pow.f64 x 3) (*.f64 -1/2 (pow.f64 x 2)))
(*.f64 (pow.f64 x 2) (fma.f64 -5/12 x -1/2))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 2) (fma.f64 x -5/12 -1/2)) 3))
(fma.f64 -5/12 (pow.f64 x 3) (*.f64 -1/2 (pow.f64 x 2)))
(*.f64 (pow.f64 x 2) (fma.f64 -5/12 x -1/2))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 2) (fma.f64 x -5/12 -1/2))))
(fma.f64 -5/12 (pow.f64 x 3) (*.f64 -1/2 (pow.f64 x 2)))
(*.f64 (pow.f64 x 2) (fma.f64 -5/12 x -1/2))
(exp.f64 (log.f64 (*.f64 (pow.f64 x 2) (fma.f64 x -5/12 -1/2))))
(fma.f64 -5/12 (pow.f64 x 3) (*.f64 -1/2 (pow.f64 x 2)))
(*.f64 (pow.f64 x 2) (fma.f64 -5/12 x -1/2))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x 2) (fma.f64 x -5/12 -1/2))) 1))
(fma.f64 -5/12 (pow.f64 x 3) (*.f64 -1/2 (pow.f64 x 2)))
(*.f64 (pow.f64 x 2) (fma.f64 -5/12 x -1/2))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 2) (fma.f64 x -5/12 -1/2))))
(fma.f64 -5/12 (pow.f64 x 3) (*.f64 -1/2 (pow.f64 x 2)))
(*.f64 (pow.f64 x 2) (fma.f64 -5/12 x -1/2))
(fma.f64 x (.f64 x (.f64 x -5/12)) (*.f64 (pow.f64 x 2) -1/2))
(fma.f64 -5/12 (pow.f64 x 3) (*.f64 -1/2 (pow.f64 x 2)))
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(fma.f64 (pow.f64 x 2) (fma.f64 -5/12 x -1/2) (-.f64 -1 x))
(fma.f64 (-.f64 -1 x) 1 (*.f64 (pow.f64 x 2) (fma.f64 x -5/12 -1/2)))
(+.f64 (fma.f64 -1 x (fma.f64 -5/12 (pow.f64 x 3) (*.f64 -1/2 (pow.f64 x 2)))) -1)
(fma.f64 (pow.f64 x 2) (fma.f64 -5/12 x -1/2) (-.f64 -1 x))
(fma.f64 (*.f64 (pow.f64 x 2) -1/2) 1 (fma.f64 -5/12 (pow.f64 x 3) (-.f64 -1 x)))
(+.f64 (fma.f64 -1 x (fma.f64 -5/12 (pow.f64 x 3) (*.f64 -1/2 (pow.f64 x 2)))) -1)
(fma.f64 (pow.f64 x 2) (fma.f64 -5/12 x -1/2) (-.f64 -1 x))
(fma.f64 1 (*.f64 (pow.f64 x 2) (fma.f64 x -5/12 -1/2)) (-.f64 -1 x))
(+.f64 (fma.f64 -1 x (fma.f64 -5/12 (pow.f64 x 3) (*.f64 -1/2 (pow.f64 x 2)))) -1)
(fma.f64 (pow.f64 x 2) (fma.f64 -5/12 x -1/2) (-.f64 -1 x))
(fma.f64 1 (-.f64 -1 x) (*.f64 (pow.f64 x 2) (fma.f64 x -5/12 -1/2)))
(+.f64 (fma.f64 -1 x (fma.f64 -5/12 (pow.f64 x 3) (*.f64 -1/2 (pow.f64 x 2)))) -1)
(fma.f64 (pow.f64 x 2) (fma.f64 -5/12 x -1/2) (-.f64 -1 x))
(fma.f64 1 (*.f64 (pow.f64 x 2) -1/2) (fma.f64 -5/12 (pow.f64 x 3) (-.f64 -1 x)))
(+.f64 (fma.f64 -1 x (fma.f64 -5/12 (pow.f64 x 3) (*.f64 -1/2 (pow.f64 x 2)))) -1)
(fma.f64 (pow.f64 x 2) (fma.f64 -5/12 x -1/2) (-.f64 -1 x))
(fma.f64 1 (fma.f64 (pow.f64 x 2) (fma.f64 x -5/12 -1/2) -1) (neg.f64 x))
(+.f64 (fma.f64 -1 x (fma.f64 -5/12 (pow.f64 x 3) (*.f64 -1/2 (pow.f64 x 2)))) -1)
(fma.f64 (pow.f64 x 2) (fma.f64 -5/12 x -1/2) (-.f64 -1 x))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (fma.f64 x -5/12 -1/2)) (-.f64 -1 x))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (fma.f64 x -5/12 -1/2) (pow.f64 (cbrt.f64 x) 2)) (-.f64 -1 x))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (fma.f64 -5/12 x -1/2) (pow.f64 (cbrt.f64 x) 2)) (-.f64 -1 x))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (pow.f64 (cbrt.f64 x) 2) -1/2) (fma.f64 -5/12 (pow.f64 x 3) (-.f64 -1 x)))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 -1/2 (pow.f64 (cbrt.f64 x) 2)) (fma.f64 -5/12 (pow.f64 x 3) (-.f64 -1 x)))
(fma.f64 (*.f64 -1/2 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2) (-.f64 (fma.f64 -5/12 (pow.f64 x 3) -1) x))
(fma.f64 (cbrt.f64 (-.f64 -1 x)) (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) (*.f64 (pow.f64 x 2) (fma.f64 x -5/12 -1/2)))
(+.f64 (fma.f64 -1 x (fma.f64 -5/12 (pow.f64 x 3) (*.f64 -1/2 (pow.f64 x 2)))) -1)
(fma.f64 (pow.f64 x 2) (fma.f64 -5/12 x -1/2) (-.f64 -1 x))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) (cbrt.f64 (-.f64 -1 x)) (*.f64 (pow.f64 x 2) (fma.f64 x -5/12 -1/2)))
(+.f64 (fma.f64 -1 x (fma.f64 -5/12 (pow.f64 x 3) (*.f64 -1/2 (pow.f64 x 2)))) -1)
(fma.f64 (pow.f64 x 2) (fma.f64 -5/12 x -1/2) (-.f64 -1 x))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x -5/12 -1/2)) 2) (*.f64 (cbrt.f64 (fma.f64 x -5/12 -1/2)) (pow.f64 x 2)) (-.f64 -1 x))
(+.f64 (fma.f64 -1 x (fma.f64 -5/12 (pow.f64 x 3) (*.f64 -1/2 (pow.f64 x 2)))) -1)
(fma.f64 (pow.f64 x 2) (fma.f64 -5/12 x -1/2) (-.f64 -1 x))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 2) -1/2)) (cbrt.f64 (.f64 (pow.f64 x 4) 1/4)) (fma.f64 -5/12 (pow.f64 x 3) (-.f64 -1 x)))
(fma.f64 (cbrt.f64 (.f64 -1/2 (pow.f64 x 2))) (cbrt.f64 (.f64 (pow.f64 x 4) 1/4)) (fma.f64 -5/12 (pow.f64 x 3) (-.f64 -1 x)))
(fma.f64 (cbrt.f64 (.f64 -1/2 (pow.f64 x 2))) (cbrt.f64 (.f64 (pow.f64 x 4) 1/4)) (-.f64 (fma.f64 -5/12 (pow.f64 x 3) -1) x))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/4)) (cbrt.f64 (.f64 (pow.f64 x 2) -1/2)) (fma.f64 -5/12 (pow.f64 x 3) (-.f64 -1 x)))
(fma.f64 (cbrt.f64 (.f64 -1/2 (pow.f64 x 2))) (cbrt.f64 (.f64 (pow.f64 x 4) 1/4)) (fma.f64 -5/12 (pow.f64 x 3) (-.f64 -1 x)))
(fma.f64 (cbrt.f64 (.f64 -1/2 (pow.f64 x 2))) (cbrt.f64 (.f64 (pow.f64 x 4) 1/4)) (-.f64 (fma.f64 -5/12 (pow.f64 x 3) -1) x))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 2) (fma.f64 x -5/12 -1/2))) (pow.f64 (cbrt.f64 (.f64 (pow.f64 x 2) (fma.f64 x -5/12 -1/2))) 2) (-.f64 -1 x))
(+.f64 (fma.f64 -1 x (fma.f64 -5/12 (pow.f64 x 3) (*.f64 -1/2 (pow.f64 x 2)))) -1)
(fma.f64 (pow.f64 x 2) (fma.f64 -5/12 x -1/2) (-.f64 -1 x))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 x 2) (fma.f64 x -5/12 -1/2))) 2) (cbrt.f64 (.f64 (pow.f64 x 2) (fma.f64 x -5/12 -1/2))) (-.f64 -1 x))
(+.f64 (fma.f64 -1 x (fma.f64 -5/12 (pow.f64 x 3) (*.f64 -1/2 (pow.f64 x 2)))) -1)
(fma.f64 (pow.f64 x 2) (fma.f64 -5/12 x -1/2) (-.f64 -1 x))
(fma.f64 (sqrt.f64 (-.f64 -1 x)) (sqrt.f64 (-.f64 -1 x)) (*.f64 (pow.f64 x 2) (fma.f64 x -5/12 -1/2)))
(+.f64 (fma.f64 -1 x (fma.f64 -5/12 (pow.f64 x 3) (*.f64 -1/2 (pow.f64 x 2)))) -1)
(fma.f64 (pow.f64 x 2) (fma.f64 -5/12 x -1/2) (-.f64 -1 x))
(fma.f64 (sqrt.f64 (fma.f64 x -5/12 -1/2)) (*.f64 (sqrt.f64 (fma.f64 x -5/12 -1/2)) (pow.f64 x 2)) (-.f64 -1 x))
(+.f64 (fma.f64 -1 x (fma.f64 -5/12 (pow.f64 x 3) (*.f64 -1/2 (pow.f64 x 2)))) -1)
(fma.f64 (pow.f64 x 2) (fma.f64 -5/12 x -1/2) (-.f64 -1 x))
(fma.f64 (.f64 x (sqrt.f64 -1/2)) (.f64 x (sqrt.f64 -1/2)) (fma.f64 -5/12 (pow.f64 x 3) (-.f64 -1 x)))
(+.f64 (fma.f64 -1 x (fma.f64 -5/12 (pow.f64 x 3) (*.f64 -1/2 (pow.f64 x 2)))) -1)
(fma.f64 (pow.f64 x 2) (fma.f64 -5/12 x -1/2) (-.f64 -1 x))
(fma.f64 (.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2))) (.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2))) (-.f64 -1 x))
(+.f64 (fma.f64 -1 x (fma.f64 -5/12 (pow.f64 x 3) (*.f64 -1/2 (pow.f64 x 2)))) -1)
(fma.f64 (pow.f64 x 2) (fma.f64 -5/12 x -1/2) (-.f64 -1 x))
(fma.f64 (-.f64 -1 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x -1) 1)) (*.f64 (pow.f64 x 2) (fma.f64 x -5/12 -1/2)))
(fma.f64 (-.f64 -1 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x -1) 1)) (*.f64 (pow.f64 x 2) (fma.f64 -5/12 x -1/2)))
(+.f64 (*.f64 (pow.f64 x 2) (fma.f64 -5/12 x -1/2)) (/.f64 (-.f64 -1 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1) 1)))
(fma.f64 (-.f64 1 (pow.f64 x 2)) (/.f64 1 (+.f64 x -1)) (*.f64 (pow.f64 x 2) (fma.f64 x -5/12 -1/2)))
(fma.f64 (-.f64 1 (pow.f64 x 2)) (/.f64 1 (+.f64 x -1)) (*.f64 (pow.f64 x 2) (fma.f64 -5/12 x -1/2)))
(+.f64 (*.f64 (pow.f64 x 2) (fma.f64 -5/12 x -1/2)) (/.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 x -1)))
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 (pow.f64 x 2) (fma.f64 x -5/12 -1/2) -1)) (cbrt.f64 (fma.f64 (pow.f64 x 2) (fma.f64 x -5/12 -1/2) -1))) (cbrt.f64 (fma.f64 (pow.f64 x 2) (fma.f64 x -5/12 -1/2) -1)) (neg.f64 x))
(+.f64 (fma.f64 -1 x (fma.f64 -5/12 (pow.f64 x 3) (*.f64 -1/2 (pow.f64 x 2)))) -1)
(fma.f64 (pow.f64 x 2) (fma.f64 -5/12 x -1/2) (-.f64 -1 x))
(fma.f64 (sqrt.f64 (fma.f64 (pow.f64 x 2) (fma.f64 x -5/12 -1/2) -1)) (sqrt.f64 (fma.f64 (pow.f64 x 2) (fma.f64 x -5/12 -1/2) -1)) (neg.f64 x))
(+.f64 (fma.f64 -1 x (fma.f64 -5/12 (pow.f64 x 3) (*.f64 -1/2 (pow.f64 x 2)))) -1)
(fma.f64 (pow.f64 x 2) (fma.f64 -5/12 x -1/2) (-.f64 -1 x))
(fma.f64 (fma.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2)) 1) (-.f64 (*.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2))) 1) (neg.f64 x))
(+.f64 (fma.f64 -1 x (fma.f64 -5/12 (pow.f64 x 3) (*.f64 -1/2 (pow.f64 x 2)))) -1)
(fma.f64 (pow.f64 x 2) (fma.f64 -5/12 x -1/2) (-.f64 -1 x))
(fma.f64 (*.f64 -1/2 x) x (fma.f64 -5/12 (pow.f64 x 3) (-.f64 -1 x)))
(+.f64 (fma.f64 -1 x (fma.f64 -5/12 (pow.f64 x 3) (*.f64 -1/2 (pow.f64 x 2)))) -1)
(fma.f64 (pow.f64 x 2) (fma.f64 -5/12 x -1/2) (-.f64 -1 x))
(fma.f64 (*.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 (fma.f64 x -5/12 -1/2)) 2)) (cbrt.f64 (fma.f64 x -5/12 -1/2)) (-.f64 -1 x))
(+.f64 (fma.f64 -1 x (fma.f64 -5/12 (pow.f64 x 3) (*.f64 -1/2 (pow.f64 x 2)))) -1)
(fma.f64 (pow.f64 x 2) (fma.f64 -5/12 x -1/2) (-.f64 -1 x))
(fma.f64 (*.f64 (pow.f64 x 2) (sqrt.f64 (fma.f64 x -5/12 -1/2))) (sqrt.f64 (fma.f64 x -5/12 -1/2)) (-.f64 -1 x))
(+.f64 (fma.f64 -1 x (fma.f64 -5/12 (pow.f64 x 3) (*.f64 -1/2 (pow.f64 x 2)))) -1)
(fma.f64 (pow.f64 x 2) (fma.f64 -5/12 x -1/2) (-.f64 -1 x))
(fma.f64 (*.f64 (fma.f64 x -5/12 -1/2) x) x (-.f64 -1 x))
(+.f64 (fma.f64 -1 x (fma.f64 -5/12 (pow.f64 x 3) (*.f64 -1/2 (pow.f64 x 2)))) -1)
(fma.f64 (pow.f64 x 2) (fma.f64 -5/12 x -1/2) (-.f64 -1 x))
(fma.f64 (*.f64 (fma.f64 x -5/12 -1/2) (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2) (-.f64 -1 x))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (fma.f64 x -5/12 -1/2) (pow.f64 (cbrt.f64 x) 2)) (-.f64 -1 x))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (fma.f64 -5/12 x -1/2) (pow.f64 (cbrt.f64 x) 2)) (-.f64 -1 x))
(fma.f64 (*.f64 -1/2 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2) (fma.f64 -5/12 (pow.f64 x 3) (-.f64 -1 x)))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 -1/2 (pow.f64 (cbrt.f64 x) 2)) (fma.f64 -5/12 (pow.f64 x 3) (-.f64 -1 x)))
(fma.f64 (*.f64 -1/2 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2) (-.f64 (fma.f64 -5/12 (pow.f64 x 3) -1) x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x 2) -1/2))) 1)
(*.f64 -1/2 (pow.f64 x 2))
(pow.f64 (*.f64 (pow.f64 x 2) -1/2) 1)
(*.f64 -1/2 (pow.f64 x 2))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 2) -1/2)) 3)
(*.f64 -1/2 (pow.f64 x 2))
(pow.f64 (pow.f64 (*.f64 (pow.f64 x 2) -1/2) 3) 1/3)
(*.f64 -1/2 (pow.f64 x 2))
(pow.f64 (*.f64 x (sqrt.f64 -1/2)) 2)
(*.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))
(*.f64 -1/2 (pow.f64 x 2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x 2) -1/2))))
(*.f64 -1/2 (pow.f64 x 2))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 2) -1/2) 3))
(*.f64 -1/2 (pow.f64 x 2))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 2) -1/2)))
(*.f64 -1/2 (pow.f64 x 2))
(exp.f64 (log.f64 (*.f64 (pow.f64 x 2) -1/2)))
(*.f64 -1/2 (pow.f64 x 2))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x 2) -1/2)) 1))
(*.f64 -1/2 (pow.f64 x 2))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 2) -1/2)))
(*.f64 -1/2 (pow.f64 x 2))

eval107.0ms (1.1%)

Compiler: Compiled 4262 to 3347 computations (21.5% saved)

prune32.0ms (0.3%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	216	1	217
Fresh	0	1	1
Picked	0	3	3
Done	0	1	1
Total	216	6	222

Accuracy

100.0%

Counts

222 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
✓	99.5%	(-.f64 (+.f64 (.f64 -1 x) (.f64 -1/2 (pow.f64 x 2))) 1)
✓	99.3%	(-.f64 -1 x)
✓	99.6%	(+.f64 (.f64 (pow.f64 x 2) (+.f64 -1/2 (.f64 x -5/12))) (-.f64 -1 x))
▶	99.5%	(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x))
	98.4%	-1
✓	100.0%	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
✓	99.5%	(-.f64 (+.f64 (.f64 -1 x) (.f64 -1/2 (pow.f64 x 2))) 1)
✓	99.3%	(-.f64 -1 x)
✓	99.6%	(+.f64 (.f64 (pow.f64 x 2) (+.f64 -1/2 (.f64 x -5/12))) (-.f64 -1 x))
▶	99.5%	(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x))
	98.4%	-1

Compiler

Compiled 98 to 78 computations (20.4% saved)

localize46.0ms (0.5%)

Localize:

Found 2 expressions with local error:

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

Compiler

Compiled 26 to 20 computations (23.1% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite318.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1008×	`unpow-prod-down`
800×	`fma-def`
707×	`log1p-expm1-u`
707×	`expm1-log1p-u`
614×	`log-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	27
1	137	27
2	1919	27

Stop Event

1×	node limit

Counts

1 → 86

Calls

Call 1

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

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

simplify504.0ms (5.1%)

Algorithm

1×	egg-herbie

Rules

868×	`fma-neg`
856×	`fma-def`
792×	`log-prod`
692×	`distribute-lft-in`
678×	`distribute-rgt-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	251	4715
1	629	4252
2	1801	3914
3	6390	3846

Stop Event

1×	node limit

Counts

98 → 129

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

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

eval68.0ms (0.7%)

Compiler: Compiled 2459 to 1987 computations (19.2% saved)

prune20.0ms (0.2%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	141	2	143
Fresh	0	1	1
Picked	1	0	1
Done	1	3	4
Total	143	6	149

Accuracy

100.0%

Counts

149 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.5%	(fma.f64 (*.f64 -1/2 x) x (-.f64 -1 x))
▶	99.5%	(fma.f64 x (+.f64 (*.f64 x -1/2) -1) -1)
✓	100.0%	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
✓	99.3%	(-.f64 -1 x)
✓	99.6%	(+.f64 (.f64 (pow.f64 x 2) (+.f64 -1/2 (.f64 x -5/12))) (-.f64 -1 x))
	98.4%	-1
▶	99.5%	(fma.f64 (*.f64 -1/2 x) x (-.f64 -1 x))
▶	99.5%	(fma.f64 x (+.f64 (*.f64 x -1/2) -1) -1)
✓	100.0%	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
✓	99.3%	(-.f64 -1 x)
✓	99.6%	(+.f64 (.f64 (pow.f64 x 2) (+.f64 -1/2 (.f64 x -5/12))) (-.f64 -1 x))
	98.4%	-1

Compiler

Compiled 90 to 68 computations (24.4% saved)

localize59.0ms (0.6%)

Localize:

Found 1 expressions with local error:

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

Compiler

Compiled 38 to 27 computations (28.9% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite72.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

666×	`unpow-prod-down`
492×	`log1p-expm1-u`
492×	`expm1-log1p-u`
474×	`log-prod`
462×	`add-exp-log`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	30
1	102	30
2	1297	27

Stop Event

1×	node limit

Counts

1 → 40

Calls

Call 1

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

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

simplify65.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1074×	`fma-neg`
908×	`fma-def`
732×	`distribute-lft-in`
684×	`distribute-rgt-in`
622×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	122	2025
1	301	1705
2	1024	1683
3	5006	1683

Stop Event

1×	node limit

Counts

52 → 74

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

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

eval36.0ms (0.4%)

Compiler: Compiled 1197 to 978 computations (18.3% saved)

prune13.0ms (0.1%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	74	0	74
Fresh	0	1	1
Picked	0	2	2
Done	0	3	3
Total	74	6	80

Accuracy

100.0%

Counts

80 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.5%	(fma.f64 (*.f64 -1/2 x) x (-.f64 -1 x))
✓	99.5%	(fma.f64 x (+.f64 (*.f64 x -1/2) -1) -1)
✓	100.0%	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
✓	99.3%	(-.f64 -1 x)
✓	99.6%	(+.f64 (.f64 (pow.f64 x 2) (+.f64 -1/2 (.f64 x -5/12))) (-.f64 -1 x))
	98.4%	-1

Compiler

Compiled 114 to 86 computations (24.6% saved)

regimes12.0ms (0.1%)

Counts

9 → 1

Calls

Call 1

Inputs
-1
(-.f64 -1 x)
(fma.f64 x (+.f64 (*.f64 x -1/2) -1) -1)
(fma.f64 (*.f64 -1/2 x) x (-.f64 -1 x))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (-.f64 -1 x))
(-.f64 (+.f64 (.f64 -1 x) (.f64 -1/2 (pow.f64 x 2))) 1)
(+.f64 (.f64 (pow.f64 x 2) (+.f64 -1/2 (.f64 x -5/12))) (-.f64 -1 x))
(/.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:

7.0ms	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 81 to 61 computations (24.7% saved)

regimes7.0ms (0.1%)

Counts

7 → 1

Calls

Call 1

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

Outputs
(+.f64 (.f64 (pow.f64 x 2) (+.f64 -1/2 (.f64 x -5/12))) (-.f64 -1 x))

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
99.6%	1	`x`

Compiler

Compiled 56 to 42 computations (25% saved)

regimes6.0ms (0.1%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
99.5%	1	`x`

Compiler

Compiled 43 to 32 computations (25.6% saved)

regimes5.0ms (0.1%)

Counts

2 → 1

Calls

Call 1

Inputs
-1
(-.f64 -1 x)

Outputs
(-.f64 -1 x)

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
99.3%	1	`x`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes3.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
-1

Outputs
-1

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
98.4%	1	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	109
1	34	109
2	37	109
3	38	109

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(+.f64 (.f64 (pow.f64 x 2) (+.f64 -1/2 (.f64 x -5/12))) (-.f64 -1 x))
(fma.f64 x (+.f64 (*.f64 x -1/2) -1) -1)
(-.f64 -1 x)
-1

Outputs
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(+.f64 (.f64 (pow.f64 x 2) (+.f64 -1/2 (.f64 x -5/12))) (-.f64 -1 x))
(fma.f64 x (+.f64 (*.f64 x -1/2) -1) -1)
(fma.f64 x (+.f64 -1 (*.f64 x -1/2)) -1)
(-.f64 -1 x)
-1

Compiler

Compiled 36 to 28 computations (22.2% saved)

soundness631.0ms (6.4%)

Rules

1128×	`unsub-neg`
992×	`times-frac`
982×	`cancel-sign-sub-inv`
982×	`cancel-sign-sub-inv`
952×	`fma-def`

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
0	298	8892
1	878	8112
2	3447	7886
0	298	8892
1	878	8112
2	3447	7886
0	251	4715
1	629	4252
2	1801	3914
3	6390	3846

Stop Event

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

Compiler

Compiled 413 to 317 computations (23.2% saved)

end0.0ms (0%)

preprocess54.0ms (0.5%)

Compiler: Compiled 98 to 74 computations (24.5% saved)

analyze817.0ms (8.2%)

sample5.1s (51.5%)

preprocess701.0ms (7.1%)

eval0.0ms (0%)

prune2.0ms (0%)

localize276.0ms (2.8%)

series10.0ms (0.1%)

rewrite181.0ms (1.8%)

simplify114.0ms (1.1%)

eval118.0ms (1.2%)

prune107.0ms (1.1%)

localize147.0ms (1.5%)

series4.0ms (0%)

rewrite129.0ms (1.3%)

simplify128.0ms (1.3%)

eval107.0ms (1.1%)

prune32.0ms (0.3%)

localize46.0ms (0.5%)

series1.0ms (0%)

rewrite318.0ms (3.2%)

simplify504.0ms (5.1%)

eval68.0ms (0.7%)

prune20.0ms (0.2%)

localize59.0ms (0.6%)

series1.0ms (0%)

rewrite72.0ms (0.7%)

simplify65.0ms (0.7%)

eval36.0ms (0.4%)

prune13.0ms (0.1%)

regimes12.0ms (0.1%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

regimes3.0ms (0%)

simplify4.0ms (0%)

soundness631.0ms (6.4%)

end0.0ms (0%)

preprocess54.0ms (0.5%)

Profiling