Details

analyze448.0ms (3.2%)

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
6.3%	3.1%	46.8%	50%	0%	0%	0%	5
9.4%	4.7%	45.3%	50%	0%	0%	0%	6
10.9%	5.5%	44.5%	50%	0%	0%	0%	7
11.7%	5.9%	44.1%	50%	0%	0%	0%	8
12.1%	6%	43.9%	50%	0%	0%	0%	9
12.3%	6.1%	43.8%	50%	0%	0%	0%	10
12.4%	6.2%	43.8%	50%	0%	0%	0%	11
12.5%	6.2%	43.7%	50%	0%	0%	0%	12

Compiler

Compiled 17 to 13 computations (23.5% saved)

sample5.8s (41.6%)

Results

4.0s	4089×	body	1024	valid
1.0s	2099×	body	512	valid
491.0ms	432×	body	2048	valid
290.0ms	1636×	body	256	valid

Bogosity

preprocess16.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	21
1	16	19
2	21	19
3	28	19
4	36	19
5	46	19
6	60	19
7	76	19
8	80	19
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 11 to 9 computations (18.2% saved)

simplify14.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	21
1	16	19
2	21	19
3	28	19
4	36	19
5	46	19
6	60	19
7	76	19
8	80	19

Stop Event

1×

saturated

Counts

1 → 3

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 23 to 16 computations (30.4% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	2	1	3
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	3	1	4

Accurracy

100.0%

Counts

4 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize29.0ms (0.2%)

Local Accuracy

Found 1 expressions with local accuracy:

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

Compiler

Compiled 16 to 6 computations (62.5% saved)

series4.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
2.0ms	x	@	inf	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
0.0ms	x	@	0	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))

rewrite61.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1218×	`pow1`
1116×	`add-exp-log`
1116×	`log1p-expm1-u`
1116×	`expm1-log1p-u`
1088×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	164	15
2	2156	15

Stop Event

1×	node limit

Counts

1 → 30

Calls

Call 1

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

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

simplify54.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1172×	`associate-/r*`
1032×	`fma-def`
852×	`times-frac`
590×	`associate-/l*`
574×	`associate--r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	188	2430
1	586	2216
2	1772	2030

Stop Event

1×	node limit

Counts

42 → 73

Calls

Call 1

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

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

eval55.0ms (0.4%)

Compiler: Compiled 3252 to 2322 computations (28.6% saved)

prune10.0ms (0.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	69	4	73
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	69	5	74

Accurracy

100.0%

Counts

74 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.1%	(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
✓	100.0%	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
▶	98.4%	(-.f64 -1 x)
▶	99.1%	(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
	96.7%	-1

Compiler

Compiled 32 to 23 computations (28.1% saved)

localize35.0ms (0.2%)

Compiler: Compiled 26 to 12 computations (53.8% saved)

localize15.0ms (0.1%)

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

localize31.0ms (0.2%)

Local Accuracy

Found 1 expressions with local accuracy:

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

Compiler

Compiled 19 to 13 computations (31.6% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite65.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1850×	`pow1`
1708×	`add-exp-log`
1708×	`log1p-expm1-u`
1708×	`expm1-log1p-u`
1674×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	190	21
2	2259	21

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

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

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

simplify54.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1296×	`times-frac`
842×	`fma-neg`
694×	`fma-def`
574×	`associate-+l-`
520×	`div-sub`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	67	945
1	172	813
2	777	669
3	3569	625

Stop Event

1×	node limit

Counts

35 → 45

Calls

Call 1

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

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

eval13.0ms (0.1%)

Compiler: Compiled 618 to 438 computations (29.1% saved)

prune10.0ms (0.1%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	42	3	45
Fresh	0	1	1
Picked	1	0	1
Done	0	3	3
Total	43	7	50

Accurracy

100.0%

Counts

50 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.1%	(/.f64 (-.f64 (.f64 (.f64 x (.f64 x -1/2)) (.f64 x (.f64 x -1/2))) (pow.f64 (-.f64 -1 x) 2)) (-.f64 (.f64 x (*.f64 x -1/2)) (-.f64 -1 x)))
✓	100.0%	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
▶	99.1%	(-.f64 (+.f64 (.f64 x (.f64 x -1/2)) -1) x)
✓	98.4%	(-.f64 -1 x)
✓	99.1%	(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
▶	99.1%	(+.f64 (-.f64 -1 x) (.f64 x (.f64 x -1/2)))
	96.7%	-1

Compiler

Compiled 71 to 51 computations (28.2% saved)

localize31.0ms (0.2%)

Local Accuracy

Found 1 expressions with local accuracy:

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

Compiler

Compiled 25 to 17 computations (32% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite66.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

936×	`log-prod`
896×	`fma-def`
694×	`prod-exp`
626×	`pow-prod-down`
430×	`pow-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	203	21
2	2790	21

Stop Event

1×	node limit

Counts

1 → 70

Calls

Call 1

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

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

simplify75.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1434×	`div-sub`
1248×	`fma-neg`
862×	`fma-def`
570×	`distribute-lft-in`
544×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	191	2920
1	497	2634
2	1384	2294
3	5372	2294

Stop Event

1×	node limit

Counts

82 → 111

Calls

Call 1

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

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

localize36.0ms (0.3%)

Local Accuracy

Found 1 expressions with local accuracy:

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

Compiler

Compiled 29 to 20 computations (31% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite81.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1494×	`prod-diff`
948×	`log-prod`
934×	`fma-def`
646×	`pow-prod-down`
436×	`pow-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	205	21
2	2738	21

Stop Event

1×	node limit

Counts

1 → 148

Calls

Call 1

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

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

simplify108.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

784×	`distribute-lft-in`
726×	`distribute-rgt-in`
552×	`associate-+l+`
472×	`associate-+r+`
470×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	312	5338
1	747	4702
2	2057	4640
3	7560	4640

Stop Event

1×	node limit

Counts

160 → 178

Calls

Call 1

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

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

localize90.0ms (0.6%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(-.f64 (.f64 x (.f64 x -1/2)) (-.f64 -1 x))
✓	100.0%	(/.f64 (-.f64 (.f64 (.f64 x (.f64 x -1/2)) (.f64 x (.f64 x -1/2))) (pow.f64 (-.f64 -1 x) 2)) (-.f64 (.f64 x (*.f64 x -1/2)) (-.f64 -1 x)))
✓	100.0%	(pow.f64 (-.f64 -1 x) 2)
✓	99.9%	(.f64 (.f64 x (.f64 x -1/2)) (.f64 x (*.f64 x -1/2)))

Compiler

Compiled 86 to 60 computations (30.2% saved)

series2.0ms (0%)

Counts

4 → 48

Calls

12 calls:

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

rewrite124.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1794×	`fma-def`
1680×	`log-prod`
656×	`fma-neg`
570×	`expm1-udef`
564×	`log1p-udef`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	124
1	334	74
2	4867	74

Stop Event

1×	node limit

Counts

4 → 305

Calls

Call 1

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

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

simplify199.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1414×	`fma-neg`
664×	`times-frac`
516×	`log-prod`
514×	`associate-/l*`
382×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	634	13711
1	1515	12737
2	5997	12721

Stop Event

1×	node limit

Counts

353 → 444

Calls

Call 1

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

Outputs
(*.f64 1/4 (pow.f64 x 4))
(*.f64 1/4 (pow.f64 x 4))
(*.f64 1/4 (pow.f64 x 4))
(*.f64 1/4 (pow.f64 x 4))
(*.f64 1/4 (pow.f64 x 4))
(*.f64 1/4 (pow.f64 x 4))
(*.f64 1/4 (pow.f64 x 4))
(*.f64 1/4 (pow.f64 x 4))
(*.f64 1/4 (pow.f64 x 4))
(*.f64 1/4 (pow.f64 x 4))
(*.f64 1/4 (pow.f64 x 4))
(*.f64 1/4 (pow.f64 x 4))
1
(+.f64 (*.f64 2 x) 1)
(fma.f64 2 x 1)
(fma.f64 x 2 1)
(+.f64 (*.f64 2 x) (+.f64 1 (pow.f64 x 2)))
(+.f64 (fma.f64 2 x 1) (*.f64 x x))
(fma.f64 x 2 (fma.f64 x x 1))
(+.f64 (*.f64 2 x) (+.f64 1 (pow.f64 x 2)))
(+.f64 (fma.f64 2 x 1) (*.f64 x x))
(fma.f64 x 2 (fma.f64 x x 1))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(fma.f64 2 x (*.f64 x x))
(*.f64 x (+.f64 2 x))
(+.f64 (*.f64 2 x) (+.f64 1 (pow.f64 x 2)))
(+.f64 (fma.f64 2 x 1) (*.f64 x x))
(fma.f64 x 2 (fma.f64 x x 1))
(+.f64 (*.f64 2 x) (+.f64 1 (pow.f64 x 2)))
(+.f64 (fma.f64 2 x 1) (*.f64 x x))
(fma.f64 x 2 (fma.f64 x x 1))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(fma.f64 2 x (*.f64 x x))
(*.f64 x (+.f64 2 x))
(+.f64 (*.f64 2 x) (+.f64 1 (pow.f64 x 2)))
(+.f64 (fma.f64 2 x 1) (*.f64 x x))
(fma.f64 x 2 (fma.f64 x x 1))
(+.f64 (*.f64 2 x) (+.f64 1 (pow.f64 x 2)))
(+.f64 (fma.f64 2 x 1) (*.f64 x x))
(fma.f64 x 2 (fma.f64 x x 1))
-1
(-.f64 (*.f64 -1 x) 1)
(fma.f64 -1 x -1)
(-.f64 -1 x)
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(*.f64 -1/2 (pow.f64 x 2))
(.f64 x (.f64 x -1/2))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x))
(fma.f64 -1/2 (*.f64 x x) (neg.f64 x))
(-.f64 (.f64 x (.f64 x -1/2)) x)
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(*.f64 -1/2 (pow.f64 x 2))
(.f64 x (.f64 x -1/2))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x))
(fma.f64 -1/2 (*.f64 x x) (neg.f64 x))
(-.f64 (.f64 x (.f64 x -1/2)) x)
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(fma.f64 (sqrt.f64 (.f64 x -1/2)) (.f64 x (sqrt.f64 (*.f64 x -1/2))) (neg.f64 (-.f64 -1 x)))
(fma.f64 (sqrt.f64 (.f64 x -1/2)) (.f64 x (sqrt.f64 (*.f64 x -1/2))) (+.f64 x 1))
(fma.f64 x (.f64 (sqrt.f64 (.f64 x -1/2)) (sqrt.f64 (*.f64 x -1/2))) (+.f64 x 1))
(fma.f64 (.f64 x (sqrt.f64 (.f64 x -1/2))) (sqrt.f64 (.f64 x -1/2)) (.f64 (neg.f64 (-.f64 -1 x)) 1))
(fma.f64 (sqrt.f64 (.f64 x -1/2)) (.f64 x (sqrt.f64 (*.f64 x -1/2))) (neg.f64 (-.f64 -1 x)))
(fma.f64 (sqrt.f64 (.f64 x -1/2)) (.f64 x (sqrt.f64 (*.f64 x -1/2))) (+.f64 x 1))
(fma.f64 x (.f64 (sqrt.f64 (.f64 x -1/2)) (sqrt.f64 (*.f64 x -1/2))) (+.f64 x 1))
(fma.f64 (.f64 (.f64 x -1/2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (neg.f64 (-.f64 -1 x)))
(+.f64 1 (fma.f64 -1/2 (*.f64 x x) x))
(+.f64 x (fma.f64 x (*.f64 x -1/2) 1))
(fma.f64 (.f64 (.f64 x -1/2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (neg.f64 (-.f64 -1 x)) 1))
(+.f64 1 (fma.f64 -1/2 (*.f64 x x) x))
(+.f64 x (fma.f64 x (*.f64 x -1/2) 1))
(fma.f64 (.f64 (.f64 x -1/2) (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 (-.f64 -1 x)))
(+.f64 1 (fma.f64 -1/2 (*.f64 x x) x))
(+.f64 x (fma.f64 x (*.f64 x -1/2) 1))
(fma.f64 (.f64 (.f64 x -1/2) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (neg.f64 (-.f64 -1 x)) 1))
(+.f64 1 (fma.f64 -1/2 (*.f64 x x) x))
(+.f64 x (fma.f64 x (*.f64 x -1/2) 1))

eval707.0ms (5.1%)

Compiler: Compiled 19300 to 13396 computations (30.6% saved)

prune142.0ms (1%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	727	6	733
Fresh	0	1	1
Picked	1	0	1
Done	2	3	5
Total	730	10	740

Accurracy

100.0%

Counts

740 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.1%	(/.f64 (-.f64 (.f64 (.f64 x (.f64 x -1/2)) (.f64 x (.f64 x -1/2))) (/.f64 (-.f64 1 (.f64 x x)) (/.f64 (+.f64 x -1) (-.f64 -1 x)))) (-.f64 (.f64 x (.f64 x -1/2)) (-.f64 -1 x)))
▶	99.0%	(/.f64 (-.f64 (.f64 (.f64 x (.f64 x -1/2)) (.f64 x (.f64 x -1/2))) (/.f64 (.f64 (-.f64 1 (.f64 x x)) (-.f64 1 (.f64 x x))) (.f64 (+.f64 x -1) (+.f64 x -1)))) (-.f64 (.f64 x (*.f64 x -1/2)) (-.f64 -1 x)))
	99.0%	(/.f64 (-.f64 (.f64 (.f64 x (.f64 x -1/2)) (.f64 x (.f64 x -1/2))) (+.f64 (fma.f64 2 x 1) (.f64 x x))) (-.f64 (.f64 x (.f64 x -1/2)) (-.f64 -1 x)))
▶	99.1%	(/.f64 (-.f64 (.f64 (.f64 x (.f64 x -1/2)) (.f64 x (.f64 x -1/2))) (+.f64 (neg.f64 (-.f64 -1 x)) (.f64 (neg.f64 x) (-.f64 -1 x)))) (-.f64 (.f64 x (.f64 x -1/2)) (-.f64 -1 x)))
▶	99.1%	(/.f64 (-.f64 (.f64 (.f64 x (.f64 x -1/2)) (.f64 x (.f64 x -1/2))) (.f64 (-.f64 -1 x) (-.f64 -1 x))) (-.f64 (.f64 x (.f64 x -1/2)) (-.f64 -1 x)))
✓	100.0%	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
✓	99.1%	(-.f64 (+.f64 (.f64 x (.f64 x -1/2)) -1) x)
▶	99.1%	(-.f64 -1 (-.f64 x (.f64 -1/2 (.f64 x x))))
✓	98.4%	(-.f64 -1 x)
	96.7%	-1

Compiler

Compiled 389 to 269 computations (30.8% saved)

localize127.0ms (0.9%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
	100.0%	(-.f64 (.f64 x (.f64 x -1/2)) (-.f64 -1 x))
✓	100.0%	(/.f64 (-.f64 (.f64 (.f64 x (.f64 x -1/2)) (.f64 x (.f64 x -1/2))) (.f64 (-.f64 -1 x) (-.f64 -1 x))) (-.f64 (.f64 x (.f64 x -1/2)) (-.f64 -1 x)))
✓	100.0%	(*.f64 (-.f64 -1 x) (-.f64 -1 x))
	99.9%	(.f64 (.f64 x (.f64 x -1/2)) (.f64 x (*.f64 x -1/2)))

Compiler

Compiled 91 to 62 computations (31.9% saved)

series26.0ms (0.2%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
25.0ms	x	@	0	(/.f64 (-.f64 (.f64 (.f64 x (.f64 x -1/2)) (.f64 x (.f64 x -1/2))) (.f64 (-.f64 -1 x) (-.f64 -1 x))) (-.f64 (.f64 x (.f64 x -1/2)) (-.f64 -1 x)))
0.0ms	x	@	inf	(/.f64 (-.f64 (.f64 (.f64 x (.f64 x -1/2)) (.f64 x (.f64 x -1/2))) (.f64 (-.f64 -1 x) (-.f64 -1 x))) (-.f64 (.f64 x (.f64 x -1/2)) (-.f64 -1 x)))
0.0ms	x	@	0	(*.f64 (-.f64 -1 x) (-.f64 -1 x))
0.0ms	x	@	inf	(*.f64 (-.f64 -1 x) (-.f64 -1 x))
0.0ms	x	@	-inf	(/.f64 (-.f64 (.f64 (.f64 x (.f64 x -1/2)) (.f64 x (.f64 x -1/2))) (.f64 (-.f64 -1 x) (-.f64 -1 x))) (-.f64 (.f64 x (.f64 x -1/2)) (-.f64 -1 x)))

rewrite88.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1688×	`log-prod`
998×	`fma-neg`
546×	`expm1-udef`
542×	`log1p-udef`
326×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	80
1	316	34
2	4870	34

Stop Event

1×	node limit

Counts

2 → 112

Calls

Call 1

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

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

simplify117.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1796×	`fma-def`
1740×	`times-frac`
678×	`div-sub`
588×	`unswap-sqr`
306×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	321	6816
1	828	6262
2	3016	5410

Stop Event

1×	node limit

Counts

136 → 200

Calls

Call 1

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

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

localize65.0ms (0.5%)

Local Accuracy

Found 1 expressions with local accuracy:

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

Compiler

Compiled 29 to 15 computations (48.3% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite48.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1058×	`pow1`
1024×	`add-sqr-sqrt`
976×	`add-exp-log`
976×	`log1p-expm1-u`
976×	`expm1-log1p-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	122	13
2	1384	13

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

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

simplify57.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

2120×	`log-prod`
1106×	`distribute-rgt-in`
1092×	`distribute-lft-in`
810×	`associate-r`
672×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	299
1	91	299
2	320	299
3	2107	299
4	6963	299

Stop Event

1×	node limit

Counts

23 → 14

Calls

Call 1

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

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

localize181.0ms (1.3%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(+.f64 (neg.f64 (-.f64 -1 x)) (*.f64 (neg.f64 x) (-.f64 -1 x)))
	100.0%	(-.f64 (.f64 x (.f64 x -1/2)) (-.f64 -1 x))
✓	100.0%	(/.f64 (-.f64 (.f64 (.f64 x (.f64 x -1/2)) (.f64 x (.f64 x -1/2))) (+.f64 (neg.f64 (-.f64 -1 x)) (.f64 (neg.f64 x) (-.f64 -1 x)))) (-.f64 (.f64 x (.f64 x -1/2)) (-.f64 -1 x)))
	99.9%	(.f64 (.f64 x (.f64 x -1/2)) (.f64 x (*.f64 x -1/2)))

Compiler

Compiled 115 to 75 computations (34.8% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite651.0ms (4.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1388×	`fma-neg`
560×	`expm1-udef`
556×	`log1p-udef`
420×	`add-sqr-sqrt`
408×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	120
1	405	34
2	6933	34

Stop Event

1×	node limit

Counts

2 → 200

Calls

Call 1

Inputs

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

(+.f64 (neg.f64 (-.f64 -1 x)) (*.f64 (neg.f64 x) (-.f64 -1 x)))

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

simplify123.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

680×	`times-frac`
658×	`fma-neg`
486×	`distribute-lft-neg-in`
426×	`associate-/l*`
378×	`exp-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	449	8596
1	1165	8064
2	4808	8008

Stop Event

1×	node limit

Counts

224 → 352

Calls

Call 1

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

Outputs
-1
(-.f64 (*.f64 -1 x) 1)
(fma.f64 -1 x -1)
(-.f64 -1 x)
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)
(fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x))
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)
(fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x))
(*.f64 -1/2 (pow.f64 x 2))
(.f64 -1/2 (.f64 x x))
(.f64 x (.f64 x -1/2))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x))
(fma.f64 -1/2 (*.f64 x x) (neg.f64 x))
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)
(fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x))
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)
(fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x))
(*.f64 -1/2 (pow.f64 x 2))
(.f64 -1/2 (.f64 x x))
(.f64 x (.f64 x -1/2))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x))
(fma.f64 -1/2 (*.f64 x x) (neg.f64 x))
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)
(fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x))
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)
(fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x))
1
(+.f64 (*.f64 2 x) 1)
(fma.f64 2 x 1)
(fma.f64 x 2 1)
(+.f64 (*.f64 2 x) (+.f64 1 (pow.f64 x 2)))
(+.f64 (fma.f64 2 x 1) (*.f64 x x))
(fma.f64 x 2 (fma.f64 x x 1))
(+.f64 (*.f64 2 x) (+.f64 1 (pow.f64 x 2)))
(+.f64 (fma.f64 2 x 1) (*.f64 x x))
(fma.f64 x 2 (fma.f64 x x 1))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(fma.f64 2 x (*.f64 x x))
(*.f64 x (+.f64 2 x))
(+.f64 (*.f64 2 x) (+.f64 1 (pow.f64 x 2)))
(+.f64 (fma.f64 2 x 1) (*.f64 x x))
(fma.f64 x 2 (fma.f64 x x 1))
(+.f64 (*.f64 2 x) (+.f64 1 (pow.f64 x 2)))
(+.f64 (fma.f64 2 x 1) (*.f64 x x))
(fma.f64 x 2 (fma.f64 x x 1))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(fma.f64 2 x (*.f64 x x))
(*.f64 x (+.f64 2 x))
(+.f64 (*.f64 2 x) (+.f64 1 (pow.f64 x 2)))
(+.f64 (fma.f64 2 x 1) (*.f64 x x))
(fma.f64 x 2 (fma.f64 x x 1))
(+.f64 (*.f64 2 x) (+.f64 1 (pow.f64 x 2)))
(+.f64 (fma.f64 2 x 1) (*.f64 x x))
(fma.f64 x 2 (fma.f64 x x 1))
(+.f64 x (fma.f64 -1/2 (*.f64 x x) 1))
(+.f64 (.f64 -1/2 (.f64 x x)) (+.f64 x -1))
(+.f64 x (fma.f64 -1/2 (*.f64 x x) -1))
(+.f64 -1 (fma.f64 -1/2 (*.f64 x x) x))
(+.f64 (+.f64 x -1) (.f64 -1/2 (.f64 x x)))
(+.f64 x (fma.f64 -1/2 (*.f64 x x) -1))
(+.f64 -1 (fma.f64 -1/2 (*.f64 x x) x))
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(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) (cbrt.f64 (+.f64 x -1)) (fma.f64 x x x))
(-.f64 (fma.f64 x x x) (+.f64 -1 x))
(-.f64 (-.f64 (fma.f64 x x x) -1) x)
(+.f64 (+.f64 (*.f64 x x) 0) 1)
(fma.f64 (neg.f64 (sqrt.f64 (+.f64 x -1))) (sqrt.f64 (+.f64 x -1)) (fma.f64 x x x))
(-.f64 (fma.f64 x x x) (+.f64 -1 x))
(-.f64 (-.f64 (fma.f64 x x x) -1) x)
(+.f64 (+.f64 (*.f64 x x) 0) 1)
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) (cbrt.f64 (+.f64 x -1)) (+.f64 x -1))
(fma.f64 x (+.f64 -1 x) (+.f64 -1 x))
(*.f64 (+.f64 x 1) (+.f64 -1 x))
(fma.f64 (*.f64 x (sqrt.f64 (+.f64 x -1))) (sqrt.f64 (+.f64 x -1)) (+.f64 x -1))
(fma.f64 x (+.f64 -1 x) (+.f64 -1 x))
(*.f64 (+.f64 x 1) (+.f64 -1 x))
(fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) (cbrt.f64 (+.f64 x -1)) (fma.f64 x x x))
(-.f64 (fma.f64 x x x) (+.f64 -1 x))
(-.f64 (-.f64 (fma.f64 x x x) -1) x)
(+.f64 (+.f64 (*.f64 x x) 0) 1)
(fma.f64 (*.f64 -1 (sqrt.f64 (+.f64 x -1))) (sqrt.f64 (+.f64 x -1)) (fma.f64 x x x))
(-.f64 (fma.f64 x x x) (+.f64 -1 x))
(-.f64 (-.f64 (fma.f64 x x x) -1) x)
(+.f64 (+.f64 (*.f64 x x) 0) 1)
(fma.f64 (*.f64 (+.f64 x -1) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (+.f64 x -1))
(fma.f64 x (+.f64 -1 x) (+.f64 -1 x))
(*.f64 (+.f64 x 1) (+.f64 -1 x))
(fma.f64 (*.f64 (+.f64 x -1) (sqrt.f64 x)) (sqrt.f64 x) (+.f64 x -1))
(fma.f64 x (+.f64 -1 x) (+.f64 -1 x))
(*.f64 (+.f64 x 1) (+.f64 -1 x))

localize107.0ms (0.8%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
	100.0%	(-.f64 (.f64 x (.f64 x -1/2)) (-.f64 -1 x))
✓	100.0%	(/.f64 (-.f64 (.f64 (.f64 x (.f64 x -1/2)) (.f64 x (.f64 x -1/2))) (/.f64 (-.f64 1 (.f64 x x)) (/.f64 (+.f64 x -1) (-.f64 -1 x)))) (-.f64 (.f64 x (.f64 x -1/2)) (-.f64 -1 x)))
✓	99.9%	(/.f64 (-.f64 1 (*.f64 x x)) (/.f64 (+.f64 x -1) (-.f64 -1 x)))
	99.9%	(.f64 (.f64 x (.f64 x -1/2)) (.f64 x (*.f64 x -1/2)))

Compiler

Compiled 128 to 82 computations (35.9% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite100.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

738×	`expm1-udef`
734×	`log1p-udef`
448×	`add-sqr-sqrt`
436×	`pow1`
436×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	92
1	440	34
2	6922	34

Stop Event

1×	node limit

Counts

2 → 93

Calls

Call 1

Inputs

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

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

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

simplify105.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1190×	`fma-def`
1136×	`times-frac`
800×	`unswap-sqr`
658×	`associate-*r/`
572×	`div-sub`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	258	4911
1	680	3973
2	2351	3593

Stop Event

1×	node limit

Counts

117 → 145

Calls

Call 1

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

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

localize165.0ms (1.2%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(/.f64 (-.f64 (.f64 (.f64 x (.f64 x -1/2)) (.f64 x (.f64 x -1/2))) (/.f64 (.f64 (-.f64 1 (.f64 x x)) (-.f64 1 (.f64 x x))) (.f64 (+.f64 x -1) (+.f64 x -1)))) (-.f64 (.f64 x (*.f64 x -1/2)) (-.f64 -1 x)))
✓	100.0%	(.f64 (-.f64 1 (.f64 x x)) (-.f64 1 (*.f64 x x)))
✓	100.0%	(/.f64 (.f64 (-.f64 1 (.f64 x x)) (-.f64 1 (.f64 x x))) (.f64 (+.f64 x -1) (+.f64 x -1)))
	99.9%	(.f64 (.f64 x (.f64 x -1/2)) (.f64 x (*.f64 x -1/2)))

Compiler

Compiled 157 to 96 computations (38.9% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite104.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

750×	`expm1-udef`
746×	`log1p-udef`
468×	`add-sqr-sqrt`
456×	`pow1`
456×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	111
1	461	53
2	7146	53

Stop Event

1×	node limit

Counts

3 → 116

Calls

Call 1

Inputs

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

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

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

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

simplify85.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1668×	`fma-def`
1536×	`unswap-sqr`
724×	`div-sub`
302×	`associate-/l*`
286×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	315	5888
1	842	4932
2	3209	4428

Stop Event

1×	node limit

Counts

152 → 204

Calls

Call 1

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

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

eval1.2s (8.4%)

Compiler: Compiled 55171 to 37930 computations (31.3% saved)

prune845.0ms (6.1%)

Pruning

14 alts after pruning (6 fresh and 8 done)

	Pruned	Kept	Total
New	1564	5	1569
Fresh	1	1	2
Picked	0	1	1
Done	0	7	7
Total	1565	14	1579

Accurracy

100.0%

Counts

1579 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.0%	(/.f64 (-.f64 (.f64 (.f64 x (.f64 x -1/2)) (.f64 x (.f64 x -1/2))) (fma.f64 2 x (+.f64 1 (.f64 x x)))) (-.f64 (.f64 x (.f64 x -1/2)) (-.f64 -1 x)))
	99.0%	(/.f64 (-.f64 (.f64 (.f64 x (.f64 x -1/2)) (.f64 x (.f64 x -1/2))) (/.f64 (fma.f64 (.f64 x x) -2 1) (.f64 (+.f64 x -1) (+.f64 x -1)))) (-.f64 (.f64 x (*.f64 x -1/2)) (-.f64 -1 x)))
✓	99.1%	(/.f64 (-.f64 (.f64 (.f64 x (.f64 x -1/2)) (.f64 x (.f64 x -1/2))) (/.f64 (-.f64 1 (.f64 x x)) (/.f64 (+.f64 x -1) (-.f64 -1 x)))) (-.f64 (.f64 x (.f64 x -1/2)) (-.f64 -1 x)))
✓	99.0%	(/.f64 (-.f64 (.f64 (.f64 x (.f64 x -1/2)) (.f64 x (.f64 x -1/2))) (/.f64 (.f64 (-.f64 1 (.f64 x x)) (-.f64 1 (.f64 x x))) (.f64 (+.f64 x -1) (+.f64 x -1)))) (-.f64 (.f64 x (*.f64 x -1/2)) (-.f64 -1 x)))
	99.1%	(/.f64 (-.f64 (.f64 (.f64 x (.f64 x -1/2)) (.f64 x (.f64 x -1/2))) (-.f64 (.f64 (/.f64 1 (+.f64 x -1)) (-.f64 -1 x)) (.f64 (/.f64 (.f64 x x) (+.f64 x -1)) (-.f64 -1 x)))) (-.f64 (.f64 x (.f64 x -1/2)) (-.f64 -1 x)))
✓	99.1%	(/.f64 (-.f64 (.f64 (.f64 x (.f64 x -1/2)) (.f64 x (.f64 x -1/2))) (+.f64 (neg.f64 (-.f64 -1 x)) (.f64 (neg.f64 x) (-.f64 -1 x)))) (-.f64 (.f64 x (.f64 x -1/2)) (-.f64 -1 x)))
	99.1%	(/.f64 (-.f64 (.f64 (.f64 x (.f64 x -1/2)) (.f64 x (.f64 x -1/2))) (.f64 (/.f64 (-.f64 -1 x) (+.f64 x -1)) (-.f64 1 (.f64 x x)))) (-.f64 (.f64 x (*.f64 x -1/2)) (-.f64 -1 x)))
✓	99.1%	(/.f64 (-.f64 (.f64 (.f64 x (.f64 x -1/2)) (.f64 x (.f64 x -1/2))) (.f64 (-.f64 -1 x) (-.f64 -1 x))) (-.f64 (.f64 x (.f64 x -1/2)) (-.f64 -1 x)))
	99.1%	(/.f64 (-.f64 (.f64 (.f64 x (.f64 x -1/2)) (.f64 x (.f64 x -1/2))) (.f64 (-.f64 -1 x) (-.f64 -1 x))) (+.f64 (fma.f64 x (*.f64 x -1/2) 1) x))
✓	100.0%	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
✓	99.1%	(-.f64 (+.f64 (.f64 x (.f64 x -1/2)) -1) x)
✓	99.1%	(-.f64 -1 (-.f64 x (.f64 -1/2 (.f64 x x))))
✓	98.4%	(-.f64 -1 x)
	96.7%	-1

Compiler

Compiled 783 to 530 computations (32.3% saved)

regimes22.0ms (0.2%)

Counts

20 → 1

Calls

Call 1

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

10.0ms	x
3.0ms	(/.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 443 to 294 computations (33.6% saved)

regimes17.0ms (0.1%)

Counts

18 → 1

Calls

Call 1

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

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

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
99.1%	1	`x`

Compiler

Compiled 418 to 276 computations (34% saved)

regimes292.0ms (2.1%)

Counts

14 → 1

Calls

Call 1

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

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

Calls

1 calls:

287.0ms

Results

Accuracy	Segments	Branch
99.1%	1	`x`

Compiler

Compiled 294 to 195 computations (33.7% saved)

regimes5.0ms (0%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
99.1%	1	`x`

Compiler

Compiled 34 to 23 computations (32.4% saved)

regimes4.0ms (0%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
99.1%	1	`x`

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes3.0ms (0%)

Counts

2 → 1

Calls

Call 1

Inputs
-1
(-.f64 -1 x)

Outputs
(-.f64 -1 x)

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
98.4%	1	`x`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes3.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
-1

Outputs
-1

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
96.7%	1	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

simplify192.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

132×	`unsub-neg`
92×	`distribute-lft-neg-in`
86×	`neg-mul-1`
66×	`neg-sub0`
56×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	243
1	51	243
2	79	243
3	120	243
4	181	243
5	263	243
6	333	243
7	392	243
8	420	243
9	439	243
10	452	243
11	463	243
12	465	243

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 92 to 65 computations (29.3% saved)

soundness713.0ms (5.2%)

Rules

1850×	`pow1`
1850×	`pow1`
1794×	`fma-def`
1794×	`fma-def`
1708×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	21
1	16	19
2	21	19
3	28	19
4	36	19
5	46	19
6	60	19
7	76	19
8	80	19
0	188	2430
1	586	2216
2	1772	2030
0	188	2430
1	586	2216
2	1772	2030
0	9	21
1	190	21
2	2259	21
0	9	25
1	203	21
2	2790	21
0	9	21
1	190	21
2	2259	21
0	14	124
1	334	74
2	4867	74
0	14	124
1	334	74
2	4867	74

Stop Event

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

Compiler

Compiled 488 to 343 computations (29.7% saved)

end92.0ms (0.7%)

Compiler: Compiled 226 to 160 computations (29.2% saved)

Iter	Nodes	Cost
0	28	243
1	51	243
2	79	243
3	120	243
4	181	243
5	263	243
6	333	243
7	392	243
8	420	243
9	439	243
10	452	243
11	463	243
12	465	243

Iter	Nodes	Cost
0	28	243
1	51	243
2	79	243
3	120	243
4	181	243
5	263	243
6	333	243
7	392	243
8	420	243
9	439	243
10	452	243
11	463	243
12	465	243

Details

analyze448.0ms (3.2%)

sample5.8s (41.6%)

preprocess16.0ms (0.1%)

simplify14.0ms (0.1%)

eval1.0ms (0%)

prune1.0ms (0%)

localize29.0ms (0.2%)

series4.0ms (0%)

rewrite61.0ms (0.4%)

simplify54.0ms (0.4%)

eval55.0ms (0.4%)

prune10.0ms (0.1%)

localize35.0ms (0.2%)

localize15.0ms (0.1%)

localize31.0ms (0.2%)

series1.0ms (0%)

rewrite65.0ms (0.5%)

simplify54.0ms (0.4%)

eval13.0ms (0.1%)

prune10.0ms (0.1%)

localize31.0ms (0.2%)

series1.0ms (0%)

rewrite66.0ms (0.5%)

simplify75.0ms (0.5%)

localize36.0ms (0.3%)

series1.0ms (0%)

rewrite81.0ms (0.6%)

simplify108.0ms (0.8%)

localize90.0ms (0.6%)

series2.0ms (0%)

rewrite124.0ms (0.9%)

simplify199.0ms (1.4%)

eval707.0ms (5.1%)

prune142.0ms (1%)

localize127.0ms (0.9%)

series26.0ms (0.2%)

rewrite88.0ms (0.6%)

simplify117.0ms (0.8%)

localize65.0ms (0.5%)

series1.0ms (0%)

rewrite48.0ms (0.3%)

simplify57.0ms (0.4%)

localize181.0ms (1.3%)

series1.0ms (0%)

rewrite651.0ms (4.7%)

simplify123.0ms (0.9%)

localize107.0ms (0.8%)

series2.0ms (0%)

rewrite100.0ms (0.7%)

simplify105.0ms (0.8%)

localize165.0ms (1.2%)

series2.0ms (0%)

rewrite104.0ms (0.8%)

simplify85.0ms (0.6%)

eval1.2s (8.4%)

prune845.0ms (6.1%)

regimes22.0ms (0.2%)

regimes17.0ms (0.1%)

regimes292.0ms (2.1%)

regimes5.0ms (0%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes3.0ms (0%)

simplify192.0ms (1.4%)

soundness713.0ms (5.2%)

end92.0ms (0.7%)

Profiling

Iter	Nodes	Cost
0	28	243
1	51	243
2	79	243
3	120	243
4	181	243
5	263	243
6	333	243
7	392	243
8	420	243
9	439	243
10	452	243
11	463	243
12	465	243