Details

analyze527.0ms (3.8%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	50%	50%	0%	0%	0%	0
0%	0%	50%	50%	0%	0%	0%	1
0%	0%	50%	50%	0%	0%	0%	2
0%	0%	50%	50%	0%	0%	0%	3
0%	0%	50%	50%	0%	0%	0%	4
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)

sample6.7s (49.3%)

Results

4.3s	4143×	body	1024	valid
1.3s	2094×	body	512	valid
820.0ms	413×	body	2048	valid
303.0ms	1606×	body	256	valid

Bogosity

preprocess15.0ms (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)

prune2.0ms (0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

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

Accurracy

100.0%

Counts

4 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
▶	7.8%	(/.f64 (log.f64 (-.f64 1 x)) (log1p.f64 x))
▶	6.5%	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))

Compiler

Compiled 25 to 19 computations (24% saved)

localize14.0ms (0.1%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	99.9%	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
✓	90.3%	(log.f64 (+.f64 1 x))
✓	89.9%	(log.f64 (-.f64 1 x))

Compiler

Compiled 26 to 19 computations (26.9% saved)

series5.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
1.0ms	x	@	inf	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
0.0ms	x	@	inf	(log.f64 (-.f64 1 x))
0.0ms	x	@	0	(log.f64 (-.f64 1 x))
0.0ms	x	@	0	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))

rewrite76.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

950×	`log-prod`
746×	`exp-prod`
556×	`pow-prod-down`
534×	`prod-exp`
474×	`pow-prod-up`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	37
1	203	33
2	2628	33

Stop Event

1×	node limit

Counts

3 → 149

Calls

Call 1

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

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

simplify110.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1598×	`log-prod`
778×	`times-frac`
732×	`fma-neg`
594×	`fma-def`
572×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	513	6589
1	1364	6091
2	6008	6083

Stop Event

1×	node limit

Counts

185 → 285

Calls

Call 1

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

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

localize16.0ms (0.1%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	99.9%	(/.f64 (log.f64 (-.f64 1 x)) (log1p.f64 x))
	89.9%	(log.f64 (-.f64 1 x))

Compiler

Compiled 19 to 12 computations (36.8% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(/.f64 (log.f64 (-.f64 1 x)) (log1p.f64 x))
0.0ms	x	@	inf	(/.f64 (log.f64 (-.f64 1 x)) (log1p.f64 x))
0.0ms	x	@	0	(/.f64 (log.f64 (-.f64 1 x)) (log1p.f64 x))

rewrite58.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1826×	`pow1`
1684×	`add-exp-log`
1684×	`log1p-expm1-u`
1684×	`expm1-log1p-u`
1646×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	181	19
2	2272	19

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

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

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

simplify66.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1300×	`fma-def`
900×	`times-frac`
650×	`associate-*r/`
620×	`associate-+l+`
584×	`associate--r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	200	3457
1	601	3063
2	2116	2757

Stop Event

1×	node limit

Counts

43 → 80

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

localize6.0ms (0%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(log1p.f64 (neg.f64 x))
✓	99.9%	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))

Compiler

Compiled 15 to 5 computations (66.7% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite60.0ms (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	28
1	164	20
2	2156	20

Stop Event

1×	node limit

Counts

2 → 45

Calls

Call 1

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

simplify63.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1384×	`fma-def`
914×	`associate-r`
672×	`associate--r+`
670×	`associate-+l+`
576×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	233	3115
1	689	2779
2	2352	2533

Stop Event

1×	node limit

Counts

69 → 132

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

eval251.0ms (1.8%)

Compiler: Compiled 15112 to 10065 computations (33.4% saved)

prune70.0ms (0.5%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	587	8	595
Fresh	0	0	0
Picked	0	1	1
Done	1	1	2
Total	588	10	598

Accurracy

100.0%

Counts

598 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.9%	(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
	97.4%	(/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 3) (log1p.f64 x))
	98.9%	(/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 -1/2 (*.f64 x -1/3))) x) (log1p.f64 x))
✓	99.9%	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
✓	7.8%	(/.f64 (log.f64 (-.f64 1 x)) (log1p.f64 x))
▶	6.0%	(/.f64 (log.f64 (-.f64 1 x)) x)
▶	98.4%	(-.f64 -1 x)
▶	98.9%	(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
▶	99.7%	(*.f64 (/.f64 1 (log1p.f64 x)) (log1p.f64 (neg.f64 x)))
	96.7%	-1

Compiler

Compiled 145 to 105 computations (27.6% saved)

localize9.0ms (0.1%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
	100.0%	(log1p.f64 (neg.f64 x))
✓	100.0%	(/.f64 1 (log1p.f64 x))
✓	99.7%	(*.f64 (/.f64 1 (log1p.f64 x)) (log1p.f64 (neg.f64 x)))

Compiler

Compiled 22 to 10 computations (54.5% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(/.f64 1 (log1p.f64 x))
1.0ms	x	@	inf	(/.f64 1 (log1p.f64 x))
0.0ms	x	@	-inf	(*.f64 (/.f64 1 (log1p.f64 x)) (log1p.f64 (neg.f64 x)))
0.0ms	x	@	0	(/.f64 1 (log1p.f64 x))
0.0ms	x	@	inf	(*.f64 (/.f64 1 (log1p.f64 x)) (log1p.f64 (neg.f64 x)))

rewrite55.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1436×	`pow1`
1318×	`log1p-expm1-u`
1318×	`expm1-log1p-u`
1316×	`add-exp-log`
1284×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	30
1	196	26
2	2372	26

Stop Event

1×	node limit

Counts

2 → 39

Calls

Call 1

Inputs
(*.f64 (/.f64 1 (log1p.f64 x)) (log1p.f64 (neg.f64 x)))
(/.f64 1 (log1p.f64 x))

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

simplify72.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1540×	`fma-def`
1266×	`times-frac`
832×	`associate-+l+`
722×	`associate-+r+`
606×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	262	4107
1	804	3703
2	2630	3483

Stop Event

1×	node limit

Counts

63 → 126

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 1 x)
(+.f64 1/2 (/.f64 1 x))
(+.f64 1/2 (+.f64 (*.f64 -1/12 x) (/.f64 1 x)))
(+.f64 1/2 (+.f64 (.f64 -1/12 x) (+.f64 (.f64 1/24 (pow.f64 x 2)) (/.f64 1 x))))
(/.f64 -1 (log.f64 (/.f64 1 x)))
(neg.f64 (+.f64 (/.f64 1 (log.f64 (/.f64 1 x))) (/.f64 1 (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) x))))
(-.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 x 2)))) (+.f64 (/.f64 1 (log.f64 (/.f64 1 x))) (+.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) x)) (/.f64 1 (.f64 (pow.f64 (log.f64 (/.f64 1 x)) 3) (pow.f64 x 2))))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (log.f64 (/.f64 1 x)) 3) (pow.f64 x 3)))) (.f64 1/2 (/.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 (pow.f64 (log.f64 (/.f64 1 x)) 2))) (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 3))) (.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 3)))) (+.f64 (/.f64 1 (log.f64 (/.f64 1 x))) (+.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) x)) (+.f64 (.f64 1/3 (/.f64 1 (.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 x 3)))) (/.f64 1 (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 3) (pow.f64 x 2))))))))
(/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(-.f64 (/.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (/.f64 1 (.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2) x)))
(-.f64 (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3) (pow.f64 x 2))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2) (pow.f64 x 2)))) (/.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (/.f64 1 (.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2) x)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3))) (.f64 1/3 (/.f64 1 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2)))) (.f64 -1 (/.f64 (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (/.f64 1 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (pow.f64 x 3))) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3) (pow.f64 x 2))) (+.f64 (/.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2) (pow.f64 x 2))))))) (/.f64 1 (.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2) x)))
(-.f64 (+.f64 1 (/.f64 (log1p.f64 x) (log1p.f64 x))) 1)
(/.f64 1 (/.f64 (log1p.f64 x) (log1p.f64 x)))
(/.f64 (log1p.f64 x) (log1p.f64 x))
(/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (/.f64 (log1p.f64 x) (cbrt.f64 (log1p.f64 x))))
(/.f64 (sqrt.f64 (log1p.f64 x)) (/.f64 (log1p.f64 x) (sqrt.f64 (log1p.f64 x))))
(/.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))
(/.f64 (/.f64 (log1p.f64 x) (sqrt.f64 (log1p.f64 x))) (sqrt.f64 (log1p.f64 x)))
(/.f64 (*.f64 (log1p.f64 x) -1) (neg.f64 (log1p.f64 x)))
(/.f64 (/.f64 (log1p.f64 x) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (cbrt.f64 (log1p.f64 x)))
(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)
(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))))
(-.f64 (+.f64 1 (/.f64 1 (log1p.f64 x))) 1)
(*.f64 1 (/.f64 1 (log1p.f64 x)))
(*.f64 (/.f64 1 (log1p.f64 x)) 1)
(*.f64 (/.f64 1 (cbrt.f64 (log1p.f64 x))) (cbrt.f64 (pow.f64 (log1p.f64 x) -2)))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) -2)) (/.f64 1 (cbrt.f64 (log1p.f64 x))))
(*.f64 (pow.f64 (log1p.f64 x) -1/2) (pow.f64 (log1p.f64 x) -1/2))
(*.f64 -1 (/.f64 1 (neg.f64 (log1p.f64 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) -1) (pow.f64 (cbrt.f64 (log1p.f64 x)) -1))
(*.f64 (pow.f64 (sqrt.f64 (log1p.f64 x)) -1) (pow.f64 (sqrt.f64 (log1p.f64 x)) -1))
(pow.f64 (log1p.f64 x) -1)
(pow.f64 (/.f64 1 (log1p.f64 x)) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (log1p.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 1 (log1p.f64 x)) 3) 1/3)
(pow.f64 (pow.f64 (log1p.f64 x) -1/2) 2)
(sqrt.f64 (pow.f64 (log1p.f64 x) -2))
(log.f64 (exp.f64 (/.f64 1 (log1p.f64 x))))
(cbrt.f64 (pow.f64 (/.f64 1 (log1p.f64 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (log1p.f64 x))))
(exp.f64 (neg.f64 (log.f64 (log1p.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 1 (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) (-.f64 (.f64 -5/12 (pow.f64 x 3)) x)))
(fma.f64 x (*.f64 x -1/2) (fma.f64 -5/12 (pow.f64 x 3) (-.f64 -1 x)))
(.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (log.f64 (/.f64 1 x))))
(neg.f64 (/.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)) (neg.f64 (log.f64 x))))
(/.f64 (neg.f64 (+.f64 (log.f64 -1) (log.f64 x))) (neg.f64 (log.f64 x)))
(*.f64 1 (/.f64 (+.f64 (log.f64 -1) (log.f64 x)) (log.f64 x)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.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 (fma.f64 -1 (/.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)) (neg.f64 (log.f64 x))) (/.f64 2 (.f64 x (neg.f64 (log.f64 x))))) (/.f64 (log.f64 -1) (.f64 x (pow.f64 (neg.f64 (log.f64 x)) 2))))
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(/.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
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(-.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3))) (.f64 1/3 (/.f64 1 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2)))) (.f64 -1 (/.f64 (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (/.f64 1 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (pow.f64 x 3))) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3) (pow.f64 x 2))) (+.f64 (/.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2) (pow.f64 x 2))))))) (/.f64 1 (.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2) x)))
(-.f64 (fma.f64 -1 (/.f64 (-.f64 (+.f64 (/.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 3)) (/.f64 1/3 (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2))) (neg.f64 (/.f64 (+.f64 (/.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2)) (/.f64 1 (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 3))) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))) (pow.f64 x 3)) (+.f64 (/.f64 1 (.f64 (.f64 x x) (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 3))) (+.f64 (/.f64 1 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (/.f64 1/2 (.f64 (.f64 x x) (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2)))))) (/.f64 1 (*.f64 x (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2))))
(+.f64 (-.f64 (+.f64 (/.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (+.f64 (/.f64 (/.f64 1 (.f64 x x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3)) (/.f64 (/.f64 1/2 (.f64 x x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)))) (/.f64 (+.f64 (/.f64 1/3 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (+.f64 (/.f64 1/2 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3)) (/.f64 (+.f64 (/.f64 1/2 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 1 (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 -1 (*.f64 x (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2))))
(-.f64 (+.f64 (/.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (+.f64 (/.f64 (/.f64 1 (.f64 x x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3)) (-.f64 (/.f64 1/2 (.f64 (*.f64 x x) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2))) (/.f64 (/.f64 1 x) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2))))) (/.f64 (+.f64 (/.f64 1/3 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (+.f64 (/.f64 1/2 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3)) (/.f64 (+.f64 (/.f64 1/2 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 1 (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 1 (/.f64 (log1p.f64 x) (log1p.f64 x))) 1)
1
(/.f64 1 (/.f64 (log1p.f64 x) (log1p.f64 x)))
1
(/.f64 (log1p.f64 x) (log1p.f64 x))
1
(/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (/.f64 (log1p.f64 x) (cbrt.f64 (log1p.f64 x))))
1
(/.f64 (sqrt.f64 (log1p.f64 x)) (/.f64 (log1p.f64 x) (sqrt.f64 (log1p.f64 x))))
1
(/.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))
1
(/.f64 (/.f64 (log1p.f64 x) (sqrt.f64 (log1p.f64 x))) (sqrt.f64 (log1p.f64 x)))
1
(/.f64 (*.f64 (log1p.f64 x) -1) (neg.f64 (log1p.f64 x)))
1
(/.f64 (/.f64 (log1p.f64 x) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (cbrt.f64 (log1p.f64 x)))
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
(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
(-.f64 (+.f64 1 (/.f64 1 (log1p.f64 x))) 1)
(+.f64 1 (-.f64 (/.f64 1 (log1p.f64 x)) 1))
(+.f64 (/.f64 1 (log1p.f64 x)) 0)
(/.f64 1 (log1p.f64 x))
(*.f64 1 (/.f64 1 (log1p.f64 x)))
(+.f64 1 (-.f64 (/.f64 1 (log1p.f64 x)) 1))
(+.f64 (/.f64 1 (log1p.f64 x)) 0)
(/.f64 1 (log1p.f64 x))
(*.f64 (/.f64 1 (log1p.f64 x)) 1)
(+.f64 1 (-.f64 (/.f64 1 (log1p.f64 x)) 1))
(+.f64 (/.f64 1 (log1p.f64 x)) 0)
(/.f64 1 (log1p.f64 x))
(*.f64 (/.f64 1 (cbrt.f64 (log1p.f64 x))) (cbrt.f64 (pow.f64 (log1p.f64 x) -2)))
(/.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) -2)) (cbrt.f64 (log1p.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) -2)) (/.f64 1 (cbrt.f64 (log1p.f64 x))))
(*.f64 (/.f64 1 (cbrt.f64 (log1p.f64 x))) (cbrt.f64 (pow.f64 (log1p.f64 x) -2)))
(/.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) -2)) (cbrt.f64 (log1p.f64 x)))
(*.f64 (pow.f64 (log1p.f64 x) -1/2) (pow.f64 (log1p.f64 x) -1/2))
(+.f64 1 (-.f64 (/.f64 1 (log1p.f64 x)) 1))
(+.f64 (/.f64 1 (log1p.f64 x)) 0)
(/.f64 1 (log1p.f64 x))
(*.f64 -1 (/.f64 1 (neg.f64 (log1p.f64 x))))
(+.f64 1 (-.f64 (/.f64 1 (log1p.f64 x)) 1))
(+.f64 (/.f64 1 (log1p.f64 x)) 0)
(/.f64 1 (log1p.f64 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) -1) (pow.f64 (cbrt.f64 (log1p.f64 x)) -1))
(+.f64 1 (-.f64 (/.f64 1 (log1p.f64 x)) 1))
(+.f64 (/.f64 1 (log1p.f64 x)) 0)
(/.f64 1 (log1p.f64 x))
(*.f64 (pow.f64 (sqrt.f64 (log1p.f64 x)) -1) (pow.f64 (sqrt.f64 (log1p.f64 x)) -1))
(pow.f64 (sqrt.f64 (log1p.f64 x)) -2)
(pow.f64 (log1p.f64 x) -1)
(+.f64 1 (-.f64 (/.f64 1 (log1p.f64 x)) 1))
(+.f64 (/.f64 1 (log1p.f64 x)) 0)
(/.f64 1 (log1p.f64 x))
(pow.f64 (/.f64 1 (log1p.f64 x)) 1)
(+.f64 1 (-.f64 (/.f64 1 (log1p.f64 x)) 1))
(+.f64 (/.f64 1 (log1p.f64 x)) 0)
(/.f64 1 (log1p.f64 x))
(pow.f64 (/.f64 1 (cbrt.f64 (log1p.f64 x))) 3)
(+.f64 1 (-.f64 (/.f64 1 (log1p.f64 x)) 1))
(+.f64 (/.f64 1 (log1p.f64 x)) 0)
(/.f64 1 (log1p.f64 x))
(pow.f64 (pow.f64 (/.f64 1 (log1p.f64 x)) 3) 1/3)
(+.f64 1 (-.f64 (/.f64 1 (log1p.f64 x)) 1))
(+.f64 (/.f64 1 (log1p.f64 x)) 0)
(/.f64 1 (log1p.f64 x))
(pow.f64 (pow.f64 (log1p.f64 x) -1/2) 2)
(+.f64 1 (-.f64 (/.f64 1 (log1p.f64 x)) 1))
(+.f64 (/.f64 1 (log1p.f64 x)) 0)
(/.f64 1 (log1p.f64 x))
(sqrt.f64 (pow.f64 (log1p.f64 x) -2))
(+.f64 1 (-.f64 (/.f64 1 (log1p.f64 x)) 1))
(+.f64 (/.f64 1 (log1p.f64 x)) 0)
(/.f64 1 (log1p.f64 x))
(log.f64 (exp.f64 (/.f64 1 (log1p.f64 x))))
(+.f64 1 (-.f64 (/.f64 1 (log1p.f64 x)) 1))
(+.f64 (/.f64 1 (log1p.f64 x)) 0)
(/.f64 1 (log1p.f64 x))
(cbrt.f64 (pow.f64 (/.f64 1 (log1p.f64 x)) 3))
(+.f64 1 (-.f64 (/.f64 1 (log1p.f64 x)) 1))
(+.f64 (/.f64 1 (log1p.f64 x)) 0)
(/.f64 1 (log1p.f64 x))
(expm1.f64 (log1p.f64 (/.f64 1 (log1p.f64 x))))
(+.f64 1 (-.f64 (/.f64 1 (log1p.f64 x)) 1))
(+.f64 (/.f64 1 (log1p.f64 x)) 0)
(/.f64 1 (log1p.f64 x))
(exp.f64 (neg.f64 (log.f64 (log1p.f64 x))))
(+.f64 1 (-.f64 (/.f64 1 (log1p.f64 x)) 1))
(+.f64 (/.f64 1 (log1p.f64 x)) 0)
(/.f64 1 (log1p.f64 x))
(log1p.f64 (expm1.f64 (/.f64 1 (log1p.f64 x))))
(+.f64 1 (-.f64 (/.f64 1 (log1p.f64 x)) 1))
(+.f64 (/.f64 1 (log1p.f64 x)) 0)
(/.f64 1 (log1p.f64 x))

localize5.0ms (0%)

Compiler: Compiled 6 to 4 computations (33.3% saved)

localize7.0ms (0.1%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(/.f64 (log.f64 (-.f64 1 x)) x)
	89.9%	(log.f64 (-.f64 1 x))

Compiler

Compiled 16 to 11 computations (31.3% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite53.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1676×	`pow1`
1550×	`add-exp-log`
1548×	`log1p-expm1-u`
1548×	`expm1-log1p-u`
1518×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	162	15
2	2077	15

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

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

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

simplify61.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1924×	`fma-def`
822×	`log-prod`
792×	`log-div`
466×	`sub-neg`
406×	`associate-/l*`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	124	1427
1	313	1179
2	968	963
3	4227	903

Stop Event

1×	node limit

Counts

43 → 73

Calls

Call 1

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

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

localize8.0ms (0.1%)

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 18 to 12 computations (33.3% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	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))

rewrite57.0ms (0.4%)

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))))

simplify52.0ms (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)

localize9.0ms (0.1%)

Local Accuracy

Found 1 expressions with local accuracy:

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

Compiler

Compiled 25 to 11 computations (56% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite59.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1982×	`pow1`
1832×	`add-exp-log`
1828×	`log1p-expm1-u`
1828×	`expm1-log1p-u`
230×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	25
1	229	21
2	2730	21

Stop Event

1×	node limit

Counts

1 → 32

Calls

Call 1

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

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

simplify58.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1316×	`fma-neg`
1040×	`div-sub`
706×	`associate-r`
676×	`associate-l`
552×	`log-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	89	1570
1	216	1336
2	708	1140
3	4663	1140

Stop Event

1×	node limit

Counts

44 → 55

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

eval174.0ms (1.3%)

Compiler: Compiled 9735 to 6439 computations (33.9% saved)

prune61.0ms (0.4%)

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	452	4	456
Fresh	1	2	3
Picked	1	0	1
Done	2	4	6
Total	456	10	466

Accurracy

100.0%

Counts

466 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.4%	(/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 3) (log1p.f64 x))
✓	99.9%	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
✓	7.8%	(/.f64 (log.f64 (-.f64 1 x)) (log1p.f64 x))
▶	98.9%	(-.f64 (+.f64 (.f64 x (.f64 x -1/2)) -1) x)
✓	98.4%	(-.f64 -1 x)
▶	98.9%	(+.f64 (-.f64 -1 x) (.f64 x (.f64 x -1/2)))
✓	99.7%	(*.f64 (/.f64 1 (log1p.f64 x)) (log1p.f64 (neg.f64 x)))
▶	98.3%	(*.f64 (+.f64 (/.f64 1 x) 1/2) (log1p.f64 (neg.f64 x)))
▶	98.8%	(.f64 (+.f64 1/2 (+.f64 (.f64 -1/12 x) (/.f64 1 x))) (log1p.f64 (neg.f64 x)))
	96.7%	-1

Compiler

Compiled 138 to 105 computations (23.9% saved)

localize9.0ms (0.1%)

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 24 to 16 computations (33.3% saved)

series0.0ms (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)))

rewrite65.0ms (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))
(+.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 (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 (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 (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 -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 (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 (fma.f64 (pow.f64 x 6) -1/8 (pow.f64 (-.f64 -1 x) 3)) (/.f64 1 (fma.f64 (.f64 -1/2 (.f64 x x)) (fma.f64 -1/2 (.f64 x x) (neg.f64 (-.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 (.f64 x (.f64 x -1/2)) (+.f64 x (fma.f64 -1/2 (*.f64 x x) 1)) (pow.f64 (-.f64 -1 x) 2)))
(/.f64 (fma.f64 (pow.f64 x 6) -1/8 (pow.f64 (-.f64 -1 x) 3)) (fma.f64 (-.f64 -1 x) (-.f64 (fma.f64 (.f64 x x) 1/2 -1) x) (.f64 (pow.f64 x 4) 1/4)))
(/.f64 (fma.f64 (pow.f64 x 6) -1/8 (pow.f64 (-.f64 -1 x) 3)) (fma.f64 (pow.f64 x 4) 1/4 (.f64 (-.f64 -1 x) (-.f64 (fma.f64 (.f64 x x) 1/2 -1) x))))
(.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 (-.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)))
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(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)

localize12.0ms (0.1%)

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 28 to 19 computations (32.1% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite71.0ms (0.5%)

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))

simplify114.0ms (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))
(+.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 (-.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 (-.f64 (.f64 x (.f64 x -1/2)) x))
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(+.f64 (fma.f64 -1/2 (*.f64 x x) -1) (neg.f64 x))
(+.f64 -1 (-.f64 (.f64 x (.f64 x -1/2)) x))
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(+.f64 (fma.f64 -1/2 (.f64 x x) -1) (.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))
(+.f64 (-.f64 (fma.f64 -1/2 (*.f64 x x) -1) 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))
(+.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 -1 (-.f64 (.f64 x (.f64 x -1/2)) x))
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(+.f64 (-.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))
(+.f64 (-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x) (fma.f64 -1 x x))
(+.f64 -1 (-.f64 (.f64 x (.f64 x -1/2)) x))
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 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 -1 (-.f64 (.f64 x (.f64 x -1/2)) x))
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(+.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))
(+.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))
(+.f64 0 (-.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))
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(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))

localize11.0ms (0.1%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
	100.0%	(log1p.f64 (neg.f64 x))
✓	99.7%	(*.f64 (+.f64 (/.f64 1 x) 1/2) (log1p.f64 (neg.f64 x)))

Compiler

Compiled 26 to 16 computations (38.5% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(*.f64 (+.f64 (/.f64 1 x) 1/2) (log1p.f64 (neg.f64 x)))
0.0ms	x	@	inf	(*.f64 (+.f64 (/.f64 1 x) 1/2) (log1p.f64 (neg.f64 x)))
0.0ms	x	@	-inf	(*.f64 (+.f64 (/.f64 1 x) 1/2) (log1p.f64 (neg.f64 x)))

rewrite55.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1966×	`pow1`
1820×	`add-exp-log`
1820×	`log1p-expm1-u`
1820×	`expm1-log1p-u`
222×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	27
1	227	23
2	2772	23

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

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

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

simplify60.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1000×	`fma-neg`
804×	`log-prod`
786×	`associate-r`
706×	`associate-l`
704×	`sub-neg`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	120	1190
1	335	1134
2	1019	1120
3	4865	1088

Stop Event

1×	node limit

Counts

34 → 76

Calls

Call 1

Inputs
-1
(-.f64 (*.f64 -1 x) 1)
(-.f64 (+.f64 (.f64 -7/12 (pow.f64 x 2)) (.f64 -1 x)) 1)
(-.f64 (+.f64 (.f64 -7/12 (pow.f64 x 2)) (+.f64 (.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3)))) 1)
(.f64 1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)))
(-.f64 (+.f64 (.f64 1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1))) (+.f64 (/.f64 (log.f64 -1) x) (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) x)))) (.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1))) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) x)) (/.f64 (log.f64 -1) x))) (+.f64 (.f64 1/2 (/.f64 1 x)) (*.f64 5/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1))) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) x)) (/.f64 (log.f64 -1) x))) (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (.f64 5/4 (/.f64 1 (pow.f64 x 2))))))
(*.f64 -1/2 (log.f64 (/.f64 -1 x)))
(+.f64 (.f64 -1 (/.f64 (+.f64 1/2 (log.f64 (/.f64 -1 x))) x)) (.f64 -1/2 (log.f64 (/.f64 -1 x))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 1/2 (log.f64 (/.f64 -1 x))) x)) (.f64 -1/2 (log.f64 (/.f64 -1 x)))) (*.f64 5/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 1/2 (log.f64 (/.f64 -1 x))) x)) (.f64 -1/2 (log.f64 (/.f64 -1 x)))) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (.f64 5/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (.f64 (log1p.f64 x) (/.f64 1 x)) (.f64 (log1p.f64 x) 1/2))
(+.f64 (.f64 (log1p.f64 x) 1/2) (.f64 (log1p.f64 x) (/.f64 1 x)))
(+.f64 (.f64 (/.f64 1 x) (log1p.f64 x)) (.f64 1/2 (log1p.f64 x)))
(+.f64 (.f64 1/2 (log1p.f64 x)) (.f64 (/.f64 1 x) (log1p.f64 x)))
(-.f64 (+.f64 1 (*.f64 (+.f64 (/.f64 1 x) 1/2) (log1p.f64 x))) 1)
(/.f64 (*.f64 (log1p.f64 x) (+.f64 (pow.f64 x -3) 1/8)) (+.f64 (pow.f64 x -2) (-.f64 1/4 (/.f64 1/2 x))))
(/.f64 (*.f64 (log1p.f64 x) (+.f64 (pow.f64 x -2) -1/4)) (+.f64 (/.f64 1 x) -1/2))
(/.f64 (*.f64 (+.f64 (pow.f64 x -3) 1/8) (log1p.f64 x)) (+.f64 (pow.f64 x -2) (-.f64 1/4 (/.f64 1/2 x))))
(/.f64 (*.f64 (+.f64 (pow.f64 x -2) -1/4) (log1p.f64 x)) (+.f64 (/.f64 1 x) -1/2))
(pow.f64 (*.f64 (+.f64 (/.f64 1 x) 1/2) (log1p.f64 x)) 1)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1 x) 1/2) (log1p.f64 x))) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 x) 1/2) (log1p.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 (/.f64 1 x) 1/2) (log1p.f64 x))) 2)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 x) 1/2) (log1p.f64 x)) 2))
(log.f64 (pow.f64 (+.f64 1 x) (+.f64 (/.f64 1 x) 1/2)))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 x) 1/2) (log1p.f64 x)) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (/.f64 1 x) 1/2) 3) (pow.f64 (log1p.f64 x) 3)))
(cbrt.f64 (*.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (+.f64 (/.f64 1 x) 1/2) 3)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 (/.f64 1 x) 1/2) (log1p.f64 x))))
(exp.f64 (log.f64 (*.f64 (+.f64 (/.f64 1 x) 1/2) (log1p.f64 x))))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 (/.f64 1 x) 1/2) (log1p.f64 x))) 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 (/.f64 1 x) 1/2) (log1p.f64 x))))

Outputs
-1
(-.f64 (*.f64 -1 x) 1)
(fma.f64 -1 x -1)
(-.f64 -1 x)
(-.f64 (+.f64 (.f64 -7/12 (pow.f64 x 2)) (.f64 -1 x)) 1)
(+.f64 (fma.f64 -7/12 (*.f64 x x) (neg.f64 x)) -1)
(fma.f64 -7/12 (*.f64 x x) (fma.f64 -1 x -1))
(-.f64 (fma.f64 x (*.f64 x -7/12) -1) x)
(-.f64 (+.f64 (.f64 -7/12 (pow.f64 x 2)) (+.f64 (.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3)))) 1)
(+.f64 (fma.f64 -7/12 (.f64 x x) (fma.f64 -1 x (.f64 -5/12 (pow.f64 x 3)))) -1)
(+.f64 -1 (fma.f64 -7/12 (.f64 x x) (-.f64 (.f64 -5/12 (pow.f64 x 3)) x)))
(fma.f64 x (*.f64 x -7/12) (fma.f64 -5/12 (pow.f64 x 3) (-.f64 -1 x)))
(fma.f64 x (*.f64 x -7/12) (-.f64 (fma.f64 -5/12 (pow.f64 x 3) -1) x))
(.f64 1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)))
(*.f64 1/2 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)))
(*.f64 1/2 (+.f64 (log.f64 x) (log.f64 -1)))
(-.f64 (+.f64 (.f64 1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1))) (+.f64 (/.f64 (log.f64 -1) x) (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) x)))) (.f64 1/2 (/.f64 1 x)))
(-.f64 (fma.f64 1/2 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)) (fma.f64 -1 (/.f64 (neg.f64 (log.f64 x)) x) (/.f64 (log.f64 -1) x))) (/.f64 1/2 x))
(+.f64 (+.f64 (/.f64 (log.f64 -1) x) (fma.f64 1/2 (+.f64 (log.f64 x) (log.f64 -1)) (/.f64 (log.f64 x) x))) (/.f64 -1/2 x))
(+.f64 (/.f64 (log.f64 -1) x) (+.f64 (/.f64 (log.f64 x) x) (fma.f64 1/2 (+.f64 (log.f64 x) (log.f64 -1)) (/.f64 -1/2 x))))
(+.f64 (fma.f64 1/2 (+.f64 (log.f64 x) (log.f64 -1)) (/.f64 (log.f64 -1) x)) (/.f64 (+.f64 (log.f64 x) -1/2) x))
(-.f64 (+.f64 (.f64 1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1))) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) x)) (/.f64 (log.f64 -1) x))) (+.f64 (.f64 1/2 (/.f64 1 x)) (*.f64 5/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (fma.f64 1/2 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)) (fma.f64 -1 (/.f64 (neg.f64 (log.f64 x)) x) (/.f64 (log.f64 -1) x))) (+.f64 (/.f64 1/2 x) (/.f64 5/4 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 (log.f64 -1) x) (fma.f64 1/2 (+.f64 (log.f64 x) (log.f64 -1)) (/.f64 (log.f64 x) x))) (+.f64 (/.f64 -5/4 (*.f64 x x)) (/.f64 -1/2 x)))
(+.f64 (+.f64 (/.f64 (log.f64 -1) x) (/.f64 (log.f64 x) x)) (+.f64 (fma.f64 1/2 (+.f64 (log.f64 x) (log.f64 -1)) (/.f64 -1/2 x)) (/.f64 -5/4 (*.f64 x x))))
(+.f64 (*.f64 (pow.f64 x -2) -5/4) (+.f64 (fma.f64 1/2 (+.f64 (log.f64 x) (log.f64 -1)) (/.f64 (log.f64 -1) x)) (/.f64 (+.f64 (log.f64 x) -1/2) x)))
(-.f64 (+.f64 (.f64 1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1))) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) x)) (/.f64 (log.f64 -1) x))) (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (.f64 5/4 (/.f64 1 (pow.f64 x 2))))))
(-.f64 (fma.f64 1/2 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)) (fma.f64 -1 (/.f64 (neg.f64 (log.f64 x)) x) (/.f64 (log.f64 -1) x))) (+.f64 (/.f64 1/2 x) (+.f64 (/.f64 5/4 (*.f64 x x)) (/.f64 2/3 (pow.f64 x 3)))))
(+.f64 (fma.f64 1/2 (+.f64 (log.f64 x) (log.f64 -1)) (/.f64 (log.f64 -1) x)) (-.f64 (/.f64 (log.f64 x) x) (+.f64 (/.f64 1/2 x) (+.f64 (/.f64 5/4 (*.f64 x x)) (/.f64 2/3 (pow.f64 x 3))))))
(fma.f64 1/2 (+.f64 (log.f64 x) (log.f64 -1)) (+.f64 (/.f64 (log.f64 x) x) (+.f64 (/.f64 (log.f64 -1) x) (+.f64 (-.f64 (/.f64 -1/2 x) (/.f64 (/.f64 5/4 x) x)) (/.f64 -2/3 (pow.f64 x 3))))))
(+.f64 (+.f64 (/.f64 (log.f64 -1) x) (/.f64 (+.f64 (log.f64 x) -1/2) x)) (fma.f64 1/2 (+.f64 (log.f64 x) (log.f64 -1)) (fma.f64 (pow.f64 x -2) -5/4 (/.f64 -2/3 (pow.f64 x 3)))))
(*.f64 -1/2 (log.f64 (/.f64 -1 x)))
(+.f64 (.f64 -1 (/.f64 (+.f64 1/2 (log.f64 (/.f64 -1 x))) x)) (.f64 -1/2 (log.f64 (/.f64 -1 x))))
(fma.f64 -1 (/.f64 (+.f64 1/2 (log.f64 (/.f64 -1 x))) x) (*.f64 -1/2 (log.f64 (/.f64 -1 x))))
(-.f64 (*.f64 -1/2 (log.f64 (/.f64 -1 x))) (/.f64 (+.f64 1/2 (log.f64 (/.f64 -1 x))) x))
(fma.f64 -1/2 (log.f64 (/.f64 -1 x)) (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) -1/2) x))
(fma.f64 -1/2 (log.f64 (/.f64 -1 x)) (/.f64 (-.f64 -1/2 (log.f64 (/.f64 -1 x))) x))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 1/2 (log.f64 (/.f64 -1 x))) x)) (.f64 -1/2 (log.f64 (/.f64 -1 x)))) (*.f64 5/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -1 (/.f64 (+.f64 1/2 (log.f64 (/.f64 -1 x))) x) (.f64 -1/2 (log.f64 (/.f64 -1 x)))) (/.f64 5/4 (.f64 x x)))
(fma.f64 -1 (/.f64 (+.f64 1/2 (log.f64 (/.f64 -1 x))) x) (fma.f64 -1/2 (log.f64 (/.f64 -1 x)) (/.f64 -5/4 (*.f64 x x))))
(-.f64 (fma.f64 -1/2 (log.f64 (/.f64 -1 x)) (/.f64 -5/4 (*.f64 x x))) (/.f64 (+.f64 1/2 (log.f64 (/.f64 -1 x))) x))
(fma.f64 (pow.f64 x -2) -5/4 (fma.f64 -1/2 (log.f64 (/.f64 -1 x)) (/.f64 (-.f64 -1/2 (log.f64 (/.f64 -1 x))) x)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 1/2 (log.f64 (/.f64 -1 x))) x)) (.f64 -1/2 (log.f64 (/.f64 -1 x)))) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (.f64 5/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (-.f64 (fma.f64 -1 (/.f64 (+.f64 1/2 (log.f64 (/.f64 -1 x))) x) (.f64 -1/2 (log.f64 (/.f64 -1 x)))) (/.f64 2/3 (pow.f64 x 3))) (/.f64 5/4 (.f64 x x)))
(fma.f64 -1 (/.f64 (+.f64 1/2 (log.f64 (/.f64 -1 x))) x) (-.f64 (fma.f64 -1/2 (log.f64 (/.f64 -1 x)) (/.f64 -5/4 (*.f64 x x))) (/.f64 2/3 (pow.f64 x 3))))
(-.f64 (+.f64 (fma.f64 -1/2 (log.f64 (/.f64 -1 x)) (/.f64 -5/4 (*.f64 x x))) (/.f64 -2/3 (pow.f64 x 3))) (/.f64 (+.f64 1/2 (log.f64 (/.f64 -1 x))) x))
(+.f64 (/.f64 (-.f64 -1/2 (log.f64 (/.f64 -1 x))) x) (fma.f64 -1/2 (log.f64 (/.f64 -1 x)) (fma.f64 (pow.f64 x -2) -5/4 (/.f64 -2/3 (pow.f64 x 3)))))
(+.f64 (.f64 (log1p.f64 x) (/.f64 1 x)) (.f64 (log1p.f64 x) 1/2))
(*.f64 (log1p.f64 x) (+.f64 1/2 (/.f64 1 x)))
(fma.f64 1/2 (log1p.f64 x) (/.f64 (log1p.f64 x) x))
(+.f64 (.f64 (log1p.f64 x) 1/2) (.f64 (log1p.f64 x) (/.f64 1 x)))
(*.f64 (log1p.f64 x) (+.f64 1/2 (/.f64 1 x)))
(fma.f64 1/2 (log1p.f64 x) (/.f64 (log1p.f64 x) x))
(+.f64 (.f64 (/.f64 1 x) (log1p.f64 x)) (.f64 1/2 (log1p.f64 x)))
(*.f64 (log1p.f64 x) (+.f64 1/2 (/.f64 1 x)))
(fma.f64 1/2 (log1p.f64 x) (/.f64 (log1p.f64 x) x))
(+.f64 (.f64 1/2 (log1p.f64 x)) (.f64 (/.f64 1 x) (log1p.f64 x)))
(*.f64 (log1p.f64 x) (+.f64 1/2 (/.f64 1 x)))
(fma.f64 1/2 (log1p.f64 x) (/.f64 (log1p.f64 x) x))
(-.f64 (+.f64 1 (*.f64 (+.f64 (/.f64 1 x) 1/2) (log1p.f64 x))) 1)
(*.f64 (log1p.f64 x) (+.f64 1/2 (/.f64 1 x)))
(fma.f64 1/2 (log1p.f64 x) (/.f64 (log1p.f64 x) x))
(/.f64 (*.f64 (log1p.f64 x) (+.f64 (pow.f64 x -3) 1/8)) (+.f64 (pow.f64 x -2) (-.f64 1/4 (/.f64 1/2 x))))
(/.f64 (*.f64 (log1p.f64 x) (+.f64 (pow.f64 x -3) 1/8)) (+.f64 (pow.f64 x -2) (+.f64 1/4 (/.f64 -1/2 x))))
(*.f64 (+.f64 (pow.f64 x -3) 1/8) (/.f64 (log1p.f64 x) (+.f64 (pow.f64 x -2) (-.f64 1/4 (/.f64 1/2 x)))))
(/.f64 (*.f64 (log1p.f64 x) (+.f64 (pow.f64 x -2) -1/4)) (+.f64 (/.f64 1 x) -1/2))
(/.f64 (log1p.f64 x) (/.f64 (+.f64 (/.f64 1 x) -1/2) (+.f64 (pow.f64 x -2) -1/4)))
(*.f64 (/.f64 (log1p.f64 x) (+.f64 (/.f64 1 x) -1/2)) (+.f64 (pow.f64 x -2) -1/4))
(*.f64 (log1p.f64 x) (/.f64 (+.f64 (pow.f64 x -2) -1/4) (+.f64 (/.f64 1 x) -1/2)))
(/.f64 (*.f64 (+.f64 (pow.f64 x -3) 1/8) (log1p.f64 x)) (+.f64 (pow.f64 x -2) (-.f64 1/4 (/.f64 1/2 x))))
(/.f64 (*.f64 (log1p.f64 x) (+.f64 (pow.f64 x -3) 1/8)) (+.f64 (pow.f64 x -2) (-.f64 1/4 (/.f64 1/2 x))))
(/.f64 (*.f64 (log1p.f64 x) (+.f64 (pow.f64 x -3) 1/8)) (+.f64 (pow.f64 x -2) (+.f64 1/4 (/.f64 -1/2 x))))
(*.f64 (+.f64 (pow.f64 x -3) 1/8) (/.f64 (log1p.f64 x) (+.f64 (pow.f64 x -2) (-.f64 1/4 (/.f64 1/2 x)))))
(/.f64 (*.f64 (+.f64 (pow.f64 x -2) -1/4) (log1p.f64 x)) (+.f64 (/.f64 1 x) -1/2))
(/.f64 (log1p.f64 x) (/.f64 (+.f64 (/.f64 1 x) -1/2) (+.f64 (pow.f64 x -2) -1/4)))
(*.f64 (/.f64 (log1p.f64 x) (+.f64 (/.f64 1 x) -1/2)) (+.f64 (pow.f64 x -2) -1/4))
(*.f64 (log1p.f64 x) (/.f64 (+.f64 (pow.f64 x -2) -1/4) (+.f64 (/.f64 1 x) -1/2)))
(pow.f64 (*.f64 (+.f64 (/.f64 1 x) 1/2) (log1p.f64 x)) 1)
(*.f64 (log1p.f64 x) (+.f64 1/2 (/.f64 1 x)))
(fma.f64 1/2 (log1p.f64 x) (/.f64 (log1p.f64 x) x))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1 x) 1/2) (log1p.f64 x))) 3)
(*.f64 (log1p.f64 x) (+.f64 1/2 (/.f64 1 x)))
(fma.f64 1/2 (log1p.f64 x) (/.f64 (log1p.f64 x) x))
(pow.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 x) 1/2) (log1p.f64 x)) 3) 1/3)
(*.f64 (log1p.f64 x) (+.f64 1/2 (/.f64 1 x)))
(fma.f64 1/2 (log1p.f64 x) (/.f64 (log1p.f64 x) x))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 (/.f64 1 x) 1/2) (log1p.f64 x))) 2)
(*.f64 (log1p.f64 x) (+.f64 1/2 (/.f64 1 x)))
(fma.f64 1/2 (log1p.f64 x) (/.f64 (log1p.f64 x) x))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 x) 1/2) (log1p.f64 x)) 2))
(*.f64 (log1p.f64 x) (+.f64 1/2 (/.f64 1 x)))
(fma.f64 1/2 (log1p.f64 x) (/.f64 (log1p.f64 x) x))
(log.f64 (pow.f64 (+.f64 1 x) (+.f64 (/.f64 1 x) 1/2)))
(*.f64 (log1p.f64 x) (+.f64 1/2 (/.f64 1 x)))
(fma.f64 1/2 (log1p.f64 x) (/.f64 (log1p.f64 x) x))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 x) 1/2) (log1p.f64 x)) 3))
(*.f64 (log1p.f64 x) (+.f64 1/2 (/.f64 1 x)))
(fma.f64 1/2 (log1p.f64 x) (/.f64 (log1p.f64 x) x))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (/.f64 1 x) 1/2) 3) (pow.f64 (log1p.f64 x) 3)))
(*.f64 (log1p.f64 x) (+.f64 1/2 (/.f64 1 x)))
(fma.f64 1/2 (log1p.f64 x) (/.f64 (log1p.f64 x) x))
(cbrt.f64 (*.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (+.f64 (/.f64 1 x) 1/2) 3)))
(*.f64 (log1p.f64 x) (+.f64 1/2 (/.f64 1 x)))
(fma.f64 1/2 (log1p.f64 x) (/.f64 (log1p.f64 x) x))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 (/.f64 1 x) 1/2) (log1p.f64 x))))
(*.f64 (log1p.f64 x) (+.f64 1/2 (/.f64 1 x)))
(fma.f64 1/2 (log1p.f64 x) (/.f64 (log1p.f64 x) x))
(exp.f64 (log.f64 (*.f64 (+.f64 (/.f64 1 x) 1/2) (log1p.f64 x))))
(*.f64 (log1p.f64 x) (+.f64 1/2 (/.f64 1 x)))
(fma.f64 1/2 (log1p.f64 x) (/.f64 (log1p.f64 x) x))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 (/.f64 1 x) 1/2) (log1p.f64 x))) 1))
(*.f64 (log1p.f64 x) (+.f64 1/2 (/.f64 1 x)))
(fma.f64 1/2 (log1p.f64 x) (/.f64 (log1p.f64 x) x))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 (/.f64 1 x) 1/2) (log1p.f64 x))))
(*.f64 (log1p.f64 x) (+.f64 1/2 (/.f64 1 x)))
(fma.f64 1/2 (log1p.f64 x) (/.f64 (log1p.f64 x) x))

localize18.0ms (0.1%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
	100.0%	(log1p.f64 (neg.f64 x))
✓	100.0%	(+.f64 (*.f64 -1/12 x) (/.f64 1 x))
✓	99.7%	(.f64 (+.f64 1/2 (+.f64 (.f64 -1/12 x) (/.f64 1 x))) (log1p.f64 (neg.f64 x)))
✓	99.5%	(*.f64 -1/12 x)

Compiler

Compiled 45 to 30 computations (33.3% saved)

series3.0ms (0%)

Counts

3 → 15

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(*.f64 -1/12 x)
0.0ms	x	@	inf	(.f64 (+.f64 1/2 (+.f64 (.f64 -1/12 x) (/.f64 1 x))) (log1p.f64 (neg.f64 x)))
0.0ms	x	@	-inf	(.f64 (+.f64 1/2 (+.f64 (.f64 -1/12 x) (/.f64 1 x))) (log1p.f64 (neg.f64 x)))
0.0ms	x	@	inf	(*.f64 -1/12 x)
0.0ms	x	@	-inf	(*.f64 -1/12 x)

rewrite86.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1206×	`log-prod`
858×	`pow-prod-down`
824×	`fma-def`
598×	`pow-exp`
590×	`pow-prod-up`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	57
1	302	53
2	3975	53

Stop Event

1×	node limit

Counts

3 → 184

Calls

Call 1

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

Outputs
(+.f64 0 (*.f64 -1/12 x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/12) x)) (cbrt.f64 (pow.f64 (exp.f64 -1/12) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/12) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/12) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/12) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/12 x))) 1)
(pow.f64 (*.f64 -1/12 x) 1)
(pow.f64 (cbrt.f64 (*.f64 -1/12 x)) 3)
(pow.f64 (.f64 1/144 (.f64 x x)) 1/2)
(pow.f64 (*.f64 -1/1728 (pow.f64 x 3)) 1/3)
(pow.f64 (sqrt.f64 (*.f64 -1/12 x)) 2)
(sqrt.f64 (.f64 1/144 (.f64 x x)))
(log.f64 (pow.f64 (exp.f64 -1/12) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/12 x))))
(cbrt.f64 (*.f64 -1/1728 (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 -1/12 x)))
(exp.f64 (log.f64 (*.f64 -1/12 x)))
(exp.f64 (.f64 (log.f64 (.f64 -1/12 x)) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 -1/12 x)) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 -1/12 x))) 3))
(exp.f64 (.f64 (log.f64 (.f64 -1/1728 (pow.f64 x 3))) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 -1/12 x)) 3) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 -1/12 x))) 2))
(log1p.f64 (expm1.f64 (*.f64 -1/12 x)))
(+.f64 0 (*.f64 (+.f64 (/.f64 1 x) (fma.f64 -1/12 x 1/2)) (log1p.f64 x)))
(+.f64 (.f64 (log1p.f64 x) 1/2) (.f64 (log1p.f64 x) (fma.f64 -1/12 x (/.f64 1 x))))
(+.f64 (.f64 (log1p.f64 x) (fma.f64 -1/12 x (/.f64 1 x))) (.f64 (log1p.f64 x) 1/2))
(+.f64 (.f64 (log1p.f64 x) (fma.f64 -1/12 x 1/2)) (.f64 (log1p.f64 x) (/.f64 1 x)))
(+.f64 (.f64 1/2 (log1p.f64 x)) (.f64 (fma.f64 -1/12 x (/.f64 1 x)) (log1p.f64 x)))
(+.f64 (.f64 (fma.f64 -1/12 x (/.f64 1 x)) (log1p.f64 x)) (.f64 1/2 (log1p.f64 x)))
(+.f64 (.f64 (fma.f64 -1/12 x 1/2) (log1p.f64 x)) (.f64 (/.f64 1 x) (log1p.f64 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) (+.f64 (/.f64 1 x) (fma.f64 -1/12 x 1/2)))) (cbrt.f64 (pow.f64 (+.f64 x 1) (+.f64 (/.f64 1 x) (fma.f64 -1/12 x 1/2)))))) (log.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) (+.f64 (/.f64 1 x) (fma.f64 -1/12 x 1/2))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (+.f64 x 1) (+.f64 (/.f64 1 x) (fma.f64 -1/12 x 1/2))))) (log.f64 (sqrt.f64 (pow.f64 (+.f64 x 1) (+.f64 (/.f64 1 x) (fma.f64 -1/12 x 1/2))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 (/.f64 1 x) (fma.f64 -1/12 x 1/2)) (log1p.f64 x)))) 1)
(/.f64 (*.f64 (log1p.f64 x) (+.f64 (pow.f64 (fma.f64 -1/12 x (/.f64 1 x)) 3) 1/8)) (fma.f64 (fma.f64 -1/12 x (/.f64 1 x)) (-.f64 (fma.f64 -1/12 x (/.f64 1 x)) 1/2) 1/4))
(/.f64 (*.f64 (log1p.f64 x) (-.f64 1/4 (pow.f64 (fma.f64 -1/12 x (/.f64 1 x)) 2))) (-.f64 1/2 (fma.f64 -1/12 x (/.f64 1 x))))
(/.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 -1/12 x (/.f64 1 x)) 3) 1/8) (log1p.f64 x)) (fma.f64 (fma.f64 -1/12 x (/.f64 1 x)) (-.f64 (fma.f64 -1/12 x (/.f64 1 x)) 1/2) 1/4))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 (fma.f64 -1/12 x (/.f64 1 x)) 2)) (log1p.f64 x)) (-.f64 1/2 (fma.f64 -1/12 x (/.f64 1 x))))
(pow.f64 (*.f64 (+.f64 (/.f64 1 x) (fma.f64 -1/12 x 1/2)) (log1p.f64 x)) 1)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1 x) (fma.f64 -1/12 x 1/2)) (log1p.f64 x))) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 x) (fma.f64 -1/12 x 1/2)) (log1p.f64 x)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 x) (fma.f64 -1/12 x 1/2)) (log1p.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 (/.f64 1 x) (fma.f64 -1/12 x 1/2)) (log1p.f64 x))) 2)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 x) (fma.f64 -1/12 x 1/2)) (log1p.f64 x)) 2))
(log.f64 (pow.f64 (+.f64 x 1) (+.f64 (/.f64 1 x) (fma.f64 -1/12 x 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 (/.f64 1 x) (fma.f64 -1/12 x 1/2)) (log1p.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 x) (fma.f64 -1/12 x 1/2)) (log1p.f64 x)) 3))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 (/.f64 1 x) (fma.f64 -1/12 x 1/2)) (log1p.f64 x))))
(exp.f64 (log.f64 (*.f64 (+.f64 (/.f64 1 x) (fma.f64 -1/12 x 1/2)) (log1p.f64 x))))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 (/.f64 1 x) (fma.f64 -1/12 x 1/2)) (log1p.f64 x))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (+.f64 (/.f64 1 x) (fma.f64 -1/12 x 1/2)) (log1p.f64 x))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (+.f64 (/.f64 1 x) (fma.f64 -1/12 x 1/2)) (log1p.f64 x)))) 3))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 (+.f64 (/.f64 1 x) (fma.f64 -1/12 x 1/2)) (log1p.f64 x)) 3)) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 1 x) (fma.f64 -1/12 x 1/2)) (log1p.f64 x)))) 2))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 (/.f64 1 x) (fma.f64 -1/12 x 1/2)) (log1p.f64 x))))
(fma.f64 1/2 (log1p.f64 x) (*.f64 (fma.f64 -1/12 x (/.f64 1 x)) (log1p.f64 x)))
(fma.f64 (fma.f64 -1/12 x (/.f64 1 x)) (log1p.f64 x) (*.f64 1/2 (log1p.f64 x)))
(fma.f64 (log1p.f64 x) 1/2 (*.f64 (log1p.f64 x) (fma.f64 -1/12 x (/.f64 1 x))))
(fma.f64 (log1p.f64 x) (fma.f64 -1/12 x (/.f64 1 x)) (*.f64 (log1p.f64 x) 1/2))
(fma.f64 (log1p.f64 x) (fma.f64 -1/12 x 1/2) (*.f64 (log1p.f64 x) (/.f64 1 x)))
(fma.f64 (fma.f64 -1/12 x 1/2) (log1p.f64 x) (*.f64 (/.f64 1 x) (log1p.f64 x)))
(-.f64 (*.f64 -1/12 x) (/.f64 1 x))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/12 x (/.f64 1 x)))) 1)
(-.f64 (/.f64 (.f64 1/144 (.f64 x x)) (fma.f64 -1/12 x (/.f64 1 x))) (/.f64 (pow.f64 x -2) (fma.f64 -1/12 x (/.f64 1 x))))
(*.f64 1 (fma.f64 -1/12 x (/.f64 1 x)))
(*.f64 (fma.f64 -1/12 x (/.f64 1 x)) 1)
(*.f64 (cbrt.f64 (fma.f64 -1/12 x (/.f64 1 x))) (pow.f64 (cbrt.f64 (fma.f64 -1/12 x (/.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/12 x (/.f64 1 x))) 2) (cbrt.f64 (fma.f64 -1/12 x (/.f64 1 x))))
(*.f64 (pow.f64 (fma.f64 -1/12 x (/.f64 1 x)) 2) (/.f64 1 (fma.f64 -1/12 x (/.f64 1 x))))
(*.f64 (sqrt.f64 (fma.f64 -1/12 x (/.f64 1 x))) (sqrt.f64 (fma.f64 -1/12 x (/.f64 1 x))))
(.f64 (fma.f64 -1/1728 (pow.f64 x 3) (pow.f64 x -3)) (/.f64 1 (-.f64 (fma.f64 1/144 (.f64 x x) (pow.f64 x -2)) -1/12)))
(.f64 (+.f64 (sqrt.f64 (.f64 -1/12 x)) (pow.f64 x -1/2)) (-.f64 (sqrt.f64 (*.f64 -1/12 x)) (pow.f64 x -1/2)))
(/.f64 1 (/.f64 (-.f64 (fma.f64 1/144 (*.f64 x x) (pow.f64 x -2)) -1/12) (fma.f64 -1/1728 (pow.f64 x 3) (pow.f64 x -3))))
(/.f64 1 (/.f64 (fma.f64 -1/12 x (/.f64 1 x)) (pow.f64 (fma.f64 -1/12 x (/.f64 1 x)) 2)))
(/.f64 (pow.f64 (fma.f64 -1/12 x (/.f64 1 x)) 2) (fma.f64 -1/12 x (/.f64 1 x)))
(/.f64 (fma.f64 -1/1728 (pow.f64 x 3) (pow.f64 x -3)) (-.f64 (fma.f64 1/144 (*.f64 x x) (pow.f64 x -2)) -1/12))
(/.f64 (fma.f64 -1/1728 (pow.f64 x 3) (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (fma.f64 1/144 (*.f64 x x) 1/12)))
(/.f64 (neg.f64 (fma.f64 -1/1728 (pow.f64 x 3) (pow.f64 x -3))) (neg.f64 (-.f64 (fma.f64 1/144 (*.f64 x x) (pow.f64 x -2)) -1/12)))
(/.f64 (-.f64 (.f64 -1/1728 (pow.f64 x 3)) (pow.f64 x -3)) (fma.f64 1/144 (.f64 x x) (+.f64 (pow.f64 x -2) -1/12)))
(/.f64 (neg.f64 (pow.f64 (fma.f64 -1/12 x (/.f64 1 x)) 2)) (neg.f64 (fma.f64 -1/12 x (/.f64 1 x))))
(/.f64 (-.f64 (pow.f64 x -2) (.f64 1/144 (.f64 x x))) (-.f64 (/.f64 1 x) (*.f64 -1/12 x)))
(pow.f64 (fma.f64 -1/12 x (/.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (fma.f64 -1/12 x (/.f64 1 x))) 3)
(pow.f64 (pow.f64 (fma.f64 -1/12 x (/.f64 1 x)) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 -1/12 x (/.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 -1/12 x (/.f64 1 x))) 2)
(pow.f64 (/.f64 (-.f64 (fma.f64 1/144 (*.f64 x x) (pow.f64 x -2)) -1/12) (fma.f64 -1/1728 (pow.f64 x 3) (pow.f64 x -3))) -1)
(pow.f64 (/.f64 (fma.f64 -1/12 x (/.f64 1 x)) (pow.f64 (fma.f64 -1/12 x (/.f64 1 x)) 2)) -1)
(sqrt.f64 (pow.f64 (fma.f64 -1/12 x (/.f64 1 x)) 2))
(log.f64 (exp.f64 (fma.f64 -1/12 x (/.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/12 x (/.f64 1 x)))))
(log.f64 (/.f64 (pow.f64 (exp.f64 -1/12) x) (exp.f64 (/.f64 1 x))))
(log.f64 (*.f64 (pow.f64 (exp.f64 -1/12) x) (+.f64 1 (expm1.f64 (/.f64 1 x)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 -1/12 x))) (exp.f64 (/.f64 1 x))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 -1/12 x))) (+.f64 1 (expm1.f64 (/.f64 1 x)))))
(log.f64 (.f64 (exp.f64 (/.f64 1 x)) (+.f64 1 (expm1.f64 (.f64 -1/12 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1 x))) (pow.f64 (exp.f64 -1/12) x)))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (/.f64 1 x))) (+.f64 1 (expm1.f64 (.f64 -1/12 x)))))
(log.f64 (/.f64 (pow.f64 (exp.f64 -1/12) x) (+.f64 1 (expm1.f64 (/.f64 1 x)))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 -1/12 x))) (exp.f64 (/.f64 1 x))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 -1/12 x))) (+.f64 1 (expm1.f64 (/.f64 1 x)))))
(cbrt.f64 (pow.f64 (fma.f64 -1/12 x (/.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/12 x (/.f64 1 x))))
(exp.f64 (log.f64 (fma.f64 -1/12 x (/.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/12 x (/.f64 1 x))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 -1/12 x (/.f64 1 x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 -1/12 x (/.f64 1 x)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 -1/12 x (/.f64 1 x)))) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 -1/12 x (/.f64 1 x))) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 -1/12 x (/.f64 1 x)))) 2))
(log1p.f64 (expm1.f64 (fma.f64 -1/12 x (/.f64 1 x))))
(fma.f64 -1/12 x (/.f64 1 x))
(fma.f64 -1/12 x (neg.f64 (/.f64 1 x)))
(fma.f64 -1/12 x (*.f64 (neg.f64 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x))))
(fma.f64 -1/12 x (*.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2)))
(fma.f64 x -1/12 (/.f64 1 x))
(fma.f64 x -1/12 (neg.f64 (/.f64 1 x)))
(fma.f64 x -1/12 (*.f64 (neg.f64 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x))))
(fma.f64 x -1/12 (*.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2)))
(fma.f64 (*.f64 -1/12 x) 1 (/.f64 1 x))
(fma.f64 (*.f64 -1/12 x) 1 (neg.f64 (/.f64 1 x)))
(fma.f64 (.f64 -1/12 x) 1 (.f64 (neg.f64 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x))))
(fma.f64 (.f64 -1/12 x) 1 (.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2)))
(fma.f64 1 (*.f64 -1/12 x) (/.f64 1 x))
(fma.f64 1 (*.f64 -1/12 x) (neg.f64 (/.f64 1 x)))
(fma.f64 1 (.f64 -1/12 x) (.f64 (neg.f64 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x))))
(fma.f64 1 (.f64 -1/12 x) (.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2)))
(fma.f64 1 (/.f64 1 x) (*.f64 -1/12 x))
(fma.f64 1 (fma.f64 -1/12 x (/.f64 1 x)) (fma.f64 (neg.f64 (/.f64 1 x)) 1 (/.f64 1 x)))
(fma.f64 1 (fma.f64 -1/12 x (/.f64 1 x)) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 x))) (cbrt.f64 (pow.f64 x -2)) (/.f64 1 x)))
(fma.f64 1 (fma.f64 -1/12 x (/.f64 1 x)) (fma.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2) (/.f64 1 x)))
(fma.f64 (/.f64 1 x) 1 (*.f64 -1/12 x))
(fma.f64 (fma.f64 -1/12 x (/.f64 1 x)) 1 (fma.f64 (neg.f64 (/.f64 1 x)) 1 (/.f64 1 x)))
(fma.f64 (fma.f64 -1/12 x (/.f64 1 x)) 1 (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 x))) (cbrt.f64 (pow.f64 x -2)) (/.f64 1 x)))
(fma.f64 (fma.f64 -1/12 x (/.f64 1 x)) 1 (fma.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2) (/.f64 1 x)))
(fma.f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2)) (*.f64 -1/12 x))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) (*.f64 -1/12 x))
(fma.f64 (cbrt.f64 (.f64 -1/12 x)) (pow.f64 (cbrt.f64 (.f64 -1/12 x)) 2) (/.f64 1 x))
(fma.f64 (cbrt.f64 (.f64 -1/12 x)) (pow.f64 (cbrt.f64 (.f64 -1/12 x)) 2) (neg.f64 (/.f64 1 x)))
(fma.f64 (cbrt.f64 (.f64 -1/12 x)) (pow.f64 (cbrt.f64 (.f64 -1/12 x)) 2) (*.f64 (neg.f64 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x))))
(fma.f64 (cbrt.f64 (.f64 -1/12 x)) (pow.f64 (cbrt.f64 (.f64 -1/12 x)) 2) (*.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 -1/12 x)) 2) (cbrt.f64 (.f64 -1/12 x)) (/.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 -1/12 x)) 2) (cbrt.f64 (.f64 -1/12 x)) (neg.f64 (/.f64 1 x)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 -1/12 x)) 2) (cbrt.f64 (.f64 -1/12 x)) (*.f64 (neg.f64 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 -1/12 x)) 2) (cbrt.f64 (.f64 -1/12 x)) (*.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2)))
(fma.f64 (cbrt.f64 (fma.f64 -1/12 x (/.f64 1 x))) (pow.f64 (cbrt.f64 (fma.f64 -1/12 x (/.f64 1 x))) 2) (fma.f64 (neg.f64 (/.f64 1 x)) 1 (/.f64 1 x)))
(fma.f64 (cbrt.f64 (fma.f64 -1/12 x (/.f64 1 x))) (pow.f64 (cbrt.f64 (fma.f64 -1/12 x (/.f64 1 x))) 2) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 x))) (cbrt.f64 (pow.f64 x -2)) (/.f64 1 x)))
(fma.f64 (cbrt.f64 (fma.f64 -1/12 x (/.f64 1 x))) (pow.f64 (cbrt.f64 (fma.f64 -1/12 x (/.f64 1 x))) 2) (fma.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2) (/.f64 1 x)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/12 x (/.f64 1 x))) 2) (cbrt.f64 (fma.f64 -1/12 x (/.f64 1 x))) (fma.f64 (neg.f64 (/.f64 1 x)) 1 (/.f64 1 x)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/12 x (/.f64 1 x))) 2) (cbrt.f64 (fma.f64 -1/12 x (/.f64 1 x))) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 x))) (cbrt.f64 (pow.f64 x -2)) (/.f64 1 x)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/12 x (/.f64 1 x))) 2) (cbrt.f64 (fma.f64 -1/12 x (/.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2) (/.f64 1 x)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) -1/12) (/.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) -1/12) (neg.f64 (/.f64 1 x)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) -1/12) (.f64 (neg.f64 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x))))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) -1/12) (.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2)))
(fma.f64 (pow.f64 (fma.f64 -1/12 x (/.f64 1 x)) 2) (/.f64 1 (fma.f64 -1/12 x (/.f64 1 x))) (fma.f64 (neg.f64 (/.f64 1 x)) 1 (/.f64 1 x)))
(fma.f64 (pow.f64 (fma.f64 -1/12 x (/.f64 1 x)) 2) (/.f64 1 (fma.f64 -1/12 x (/.f64 1 x))) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 x))) (cbrt.f64 (pow.f64 x -2)) (/.f64 1 x)))
(fma.f64 (pow.f64 (fma.f64 -1/12 x (/.f64 1 x)) 2) (/.f64 1 (fma.f64 -1/12 x (/.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2) (/.f64 1 x)))
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (*.f64 -1/12 x))
(fma.f64 (sqrt.f64 (.f64 -1/12 x)) (sqrt.f64 (.f64 -1/12 x)) (/.f64 1 x))
(fma.f64 (sqrt.f64 (.f64 -1/12 x)) (sqrt.f64 (.f64 -1/12 x)) (neg.f64 (/.f64 1 x)))
(fma.f64 (sqrt.f64 (.f64 -1/12 x)) (sqrt.f64 (.f64 -1/12 x)) (*.f64 (neg.f64 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x))))
(fma.f64 (sqrt.f64 (.f64 -1/12 x)) (sqrt.f64 (.f64 -1/12 x)) (*.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2)))
(fma.f64 (sqrt.f64 (fma.f64 -1/12 x (/.f64 1 x))) (sqrt.f64 (fma.f64 -1/12 x (/.f64 1 x))) (fma.f64 (neg.f64 (/.f64 1 x)) 1 (/.f64 1 x)))
(fma.f64 (sqrt.f64 (fma.f64 -1/12 x (/.f64 1 x))) (sqrt.f64 (fma.f64 -1/12 x (/.f64 1 x))) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 x))) (cbrt.f64 (pow.f64 x -2)) (/.f64 1 x)))
(fma.f64 (sqrt.f64 (fma.f64 -1/12 x (/.f64 1 x))) (sqrt.f64 (fma.f64 -1/12 x (/.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2) (/.f64 1 x)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) -1/12) (/.f64 1 x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) -1/12) (neg.f64 (/.f64 1 x)))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) -1/12) (.f64 (neg.f64 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x))))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) -1/12) (.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2)))
(fma.f64 -1 (/.f64 1 x) (*.f64 -1/12 x))
(fma.f64 (fma.f64 -1/1728 (pow.f64 x 3) (pow.f64 x -3)) (/.f64 1 (-.f64 (fma.f64 1/144 (*.f64 x x) (pow.f64 x -2)) -1/12)) (fma.f64 (neg.f64 (/.f64 1 x)) 1 (/.f64 1 x)))
(fma.f64 (fma.f64 -1/1728 (pow.f64 x 3) (pow.f64 x -3)) (/.f64 1 (-.f64 (fma.f64 1/144 (*.f64 x x) (pow.f64 x -2)) -1/12)) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 x))) (cbrt.f64 (pow.f64 x -2)) (/.f64 1 x)))
(fma.f64 (fma.f64 -1/1728 (pow.f64 x 3) (pow.f64 x -3)) (/.f64 1 (-.f64 (fma.f64 1/144 (*.f64 x x) (pow.f64 x -2)) -1/12)) (fma.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2) (/.f64 1 x)))
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 x)) (*.f64 -1/12 x))
(fma.f64 (+.f64 (sqrt.f64 (.f64 -1/12 x)) (pow.f64 x -1/2)) (-.f64 (sqrt.f64 (.f64 -1/12 x)) (pow.f64 x -1/2)) (fma.f64 (neg.f64 (/.f64 1 x)) 1 (/.f64 1 x)))
(fma.f64 (+.f64 (sqrt.f64 (.f64 -1/12 x)) (pow.f64 x -1/2)) (-.f64 (sqrt.f64 (.f64 -1/12 x)) (pow.f64 x -1/2)) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 x))) (cbrt.f64 (pow.f64 x -2)) (/.f64 1 x)))
(fma.f64 (+.f64 (sqrt.f64 (.f64 -1/12 x)) (pow.f64 x -1/2)) (-.f64 (sqrt.f64 (.f64 -1/12 x)) (pow.f64 x -1/2)) (fma.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2) (/.f64 1 x)))
(fma.f64 (*.f64 -1/12 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (/.f64 1 x))
(fma.f64 (*.f64 -1/12 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (neg.f64 (/.f64 1 x)))
(fma.f64 (.f64 -1/12 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 (neg.f64 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x))))
(fma.f64 (.f64 -1/12 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2)))
(fma.f64 (*.f64 -1/12 (sqrt.f64 x)) (sqrt.f64 x) (/.f64 1 x))
(fma.f64 (*.f64 -1/12 (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 (/.f64 1 x)))
(fma.f64 (.f64 -1/12 (sqrt.f64 x)) (sqrt.f64 x) (.f64 (neg.f64 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x))))
(fma.f64 (.f64 -1/12 (sqrt.f64 x)) (sqrt.f64 x) (.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2)))

simplify94.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

894×	`associate-/r*`
836×	`associate-+r+`
618×	`unswap-sqr`
402×	`log-prod`
396×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	413	5883
1	964	5615
2	3084	5241

Stop Event

1×	node limit

Counts

199 → 278

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 -3/8 (pow.f64 x 3)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))) 1)
(.f64 -1/12 (.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) x))
(+.f64 (.f64 1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1))) (+.f64 1/12 (.f64 -1/12 (.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) x))))
(-.f64 (+.f64 1/12 (+.f64 (.f64 1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1))) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) x)) (+.f64 (/.f64 (log.f64 -1) x) (.f64 -1/12 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) x)))))) (*.f64 11/24 (/.f64 1 x)))
(-.f64 (+.f64 1/12 (+.f64 (.f64 1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1))) (+.f64 (/.f64 (log.f64 -1) x) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) x)) (.f64 -1/12 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) x)))))) (+.f64 (.f64 11/9 (/.f64 1 (pow.f64 x 2))) (.f64 11/24 (/.f64 1 x))))
(.f64 1/12 (.f64 (log.f64 (/.f64 -1 x)) x))
(+.f64 (.f64 1/12 (.f64 (log.f64 (/.f64 -1 x)) x)) (+.f64 1/12 (*.f64 -1/2 (log.f64 (/.f64 -1 x)))))
(+.f64 (.f64 1/12 (.f64 (log.f64 (/.f64 -1 x)) x)) (+.f64 1/12 (+.f64 (.f64 -1 (/.f64 (+.f64 11/24 (log.f64 (/.f64 -1 x))) x)) (.f64 -1/2 (log.f64 (/.f64 -1 x))))))
(-.f64 (+.f64 (.f64 1/12 (.f64 (log.f64 (/.f64 -1 x)) x)) (+.f64 1/12 (+.f64 (.f64 -1 (/.f64 (+.f64 11/24 (log.f64 (/.f64 -1 x))) x)) (.f64 -1/2 (log.f64 (/.f64 -1 x)))))) (*.f64 11/9 (/.f64 1 (pow.f64 x 2))))
(/.f64 1 x)
(*.f64 -1/12 x)
(*.f64 -1/12 x)
(+.f64 0 (*.f64 -1/12 x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/12) x)) (cbrt.f64 (pow.f64 (exp.f64 -1/12) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/12) x))))
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(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (*.f64 -1/12 x))
(fma.f64 (sqrt.f64 (.f64 -1/12 x)) (sqrt.f64 (.f64 -1/12 x)) (/.f64 1 x))
(fma.f64 (sqrt.f64 (.f64 -1/12 x)) (sqrt.f64 (.f64 -1/12 x)) (neg.f64 (/.f64 1 x)))
(fma.f64 (sqrt.f64 (.f64 -1/12 x)) (sqrt.f64 (.f64 -1/12 x)) (*.f64 (neg.f64 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x))))
(fma.f64 (sqrt.f64 (.f64 -1/12 x)) (sqrt.f64 (.f64 -1/12 x)) (*.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2)))
(fma.f64 (sqrt.f64 (fma.f64 -1/12 x (/.f64 1 x))) (sqrt.f64 (fma.f64 -1/12 x (/.f64 1 x))) (fma.f64 (neg.f64 (/.f64 1 x)) 1 (/.f64 1 x)))
(fma.f64 (sqrt.f64 (fma.f64 -1/12 x (/.f64 1 x))) (sqrt.f64 (fma.f64 -1/12 x (/.f64 1 x))) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 x))) (cbrt.f64 (pow.f64 x -2)) (/.f64 1 x)))
(fma.f64 (sqrt.f64 (fma.f64 -1/12 x (/.f64 1 x))) (sqrt.f64 (fma.f64 -1/12 x (/.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2) (/.f64 1 x)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) -1/12) (/.f64 1 x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) -1/12) (neg.f64 (/.f64 1 x)))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) -1/12) (.f64 (neg.f64 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x))))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) -1/12) (.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2)))
(fma.f64 -1 (/.f64 1 x) (*.f64 -1/12 x))
(fma.f64 (fma.f64 -1/1728 (pow.f64 x 3) (pow.f64 x -3)) (/.f64 1 (-.f64 (fma.f64 1/144 (*.f64 x x) (pow.f64 x -2)) -1/12)) (fma.f64 (neg.f64 (/.f64 1 x)) 1 (/.f64 1 x)))
(fma.f64 (fma.f64 -1/1728 (pow.f64 x 3) (pow.f64 x -3)) (/.f64 1 (-.f64 (fma.f64 1/144 (*.f64 x x) (pow.f64 x -2)) -1/12)) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 x))) (cbrt.f64 (pow.f64 x -2)) (/.f64 1 x)))
(fma.f64 (fma.f64 -1/1728 (pow.f64 x 3) (pow.f64 x -3)) (/.f64 1 (-.f64 (fma.f64 1/144 (*.f64 x x) (pow.f64 x -2)) -1/12)) (fma.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2) (/.f64 1 x)))
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 x)) (*.f64 -1/12 x))
(fma.f64 (+.f64 (sqrt.f64 (.f64 -1/12 x)) (pow.f64 x -1/2)) (-.f64 (sqrt.f64 (.f64 -1/12 x)) (pow.f64 x -1/2)) (fma.f64 (neg.f64 (/.f64 1 x)) 1 (/.f64 1 x)))
(fma.f64 (+.f64 (sqrt.f64 (.f64 -1/12 x)) (pow.f64 x -1/2)) (-.f64 (sqrt.f64 (.f64 -1/12 x)) (pow.f64 x -1/2)) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 x))) (cbrt.f64 (pow.f64 x -2)) (/.f64 1 x)))
(fma.f64 (+.f64 (sqrt.f64 (.f64 -1/12 x)) (pow.f64 x -1/2)) (-.f64 (sqrt.f64 (.f64 -1/12 x)) (pow.f64 x -1/2)) (fma.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2) (/.f64 1 x)))
(fma.f64 (*.f64 -1/12 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (/.f64 1 x))
(fma.f64 (*.f64 -1/12 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (neg.f64 (/.f64 1 x)))
(fma.f64 (.f64 -1/12 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 (neg.f64 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x))))
(fma.f64 (.f64 -1/12 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2)))
(fma.f64 (*.f64 -1/12 (sqrt.f64 x)) (sqrt.f64 x) (/.f64 1 x))
(fma.f64 (*.f64 -1/12 (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 (/.f64 1 x)))
(fma.f64 (.f64 -1/12 (sqrt.f64 x)) (sqrt.f64 x) (.f64 (neg.f64 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x))))
(fma.f64 (.f64 -1/12 (sqrt.f64 x)) (sqrt.f64 x) (.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2)))

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 -1/2 (*.f64 x x) (-.f64 -1 x))
(-.f64 (+.f64 (.f64 -3/8 (pow.f64 x 3)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))) 1)
(+.f64 (fma.f64 -3/8 (pow.f64 x 3) (fma.f64 -1/2 (*.f64 x x) (neg.f64 x))) -1)
(fma.f64 -3/8 (pow.f64 x 3) (fma.f64 -1/2 (*.f64 x x) (fma.f64 -1 x -1)))
(fma.f64 -3/8 (pow.f64 x 3) (fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x)))
(.f64 -1/12 (.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) x))
(.f64 -1/12 (.f64 x (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1))))
(.f64 -1/12 (.f64 x (+.f64 (log.f64 -1) (log.f64 x))))
(.f64 (+.f64 (log.f64 -1) (log.f64 x)) (.f64 x -1/12))
(+.f64 (.f64 1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1))) (+.f64 1/12 (.f64 -1/12 (.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) x))))
(fma.f64 1/2 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)) (+.f64 (.f64 -1/12 (.f64 x (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)))) 1/12))
(fma.f64 (+.f64 (log.f64 -1) (log.f64 x)) 1/2 (fma.f64 -1/12 (*.f64 x (+.f64 (log.f64 -1) (log.f64 x))) 1/12))
(+.f64 1/12 (*.f64 (+.f64 (log.f64 -1) (log.f64 x)) (fma.f64 x -1/12 1/2)))
(-.f64 (+.f64 1/12 (+.f64 (.f64 1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1))) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) x)) (+.f64 (/.f64 (log.f64 -1) x) (.f64 -1/12 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) x)))))) (*.f64 11/24 (/.f64 1 x)))
(+.f64 1/12 (-.f64 (fma.f64 1/2 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)) (fma.f64 -1 (/.f64 (neg.f64 (log.f64 x)) x) (+.f64 (.f64 -1/12 (.f64 x (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)))) (/.f64 (log.f64 -1) x)))) (/.f64 11/24 x)))
(+.f64 (fma.f64 (+.f64 (log.f64 -1) (log.f64 x)) 1/2 1/12) (-.f64 (+.f64 (/.f64 (log.f64 x) x) (fma.f64 -1/12 (*.f64 x (+.f64 (log.f64 -1) (log.f64 x))) (/.f64 (log.f64 -1) x))) (/.f64 11/24 x)))
(+.f64 1/12 (+.f64 (+.f64 (+.f64 (/.f64 (log.f64 x) x) (/.f64 (log.f64 -1) x)) (*.f64 (+.f64 (log.f64 -1) (log.f64 x)) (fma.f64 x -1/12 1/2))) (/.f64 -11/24 x)))
(-.f64 (+.f64 1/12 (+.f64 (.f64 1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1))) (+.f64 (/.f64 (log.f64 -1) x) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) x)) (.f64 -1/12 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) x)))))) (+.f64 (.f64 11/9 (/.f64 1 (pow.f64 x 2))) (.f64 11/24 (/.f64 1 x))))
(+.f64 1/12 (-.f64 (fma.f64 1/2 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)) (+.f64 (/.f64 (log.f64 -1) x) (fma.f64 -1 (/.f64 (neg.f64 (log.f64 x)) x) (.f64 -1/12 (.f64 x (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1))))))) (+.f64 (/.f64 11/24 x) (/.f64 11/9 (*.f64 x x)))))
(-.f64 (+.f64 (fma.f64 (+.f64 (log.f64 -1) (log.f64 x)) 1/2 1/12) (-.f64 (+.f64 (/.f64 (log.f64 x) x) (fma.f64 -1/12 (.f64 x (+.f64 (log.f64 -1) (log.f64 x))) (/.f64 (log.f64 -1) x))) (/.f64 11/24 x))) (/.f64 11/9 (.f64 x x)))
(+.f64 1/12 (+.f64 (+.f64 (/.f64 (log.f64 x) x) (/.f64 (log.f64 -1) x)) (-.f64 (*.f64 (+.f64 (log.f64 -1) (log.f64 x)) (fma.f64 x -1/12 1/2)) (fma.f64 11/9 (pow.f64 x -2) (/.f64 11/24 x)))))
(.f64 1/12 (.f64 (log.f64 (/.f64 -1 x)) x))
(.f64 (.f64 1/12 (log.f64 (/.f64 -1 x))) x)
(.f64 x (.f64 1/12 (log.f64 (/.f64 -1 x))))
(.f64 (log.f64 (/.f64 -1 x)) (.f64 x 1/12))
(+.f64 (.f64 1/12 (.f64 (log.f64 (/.f64 -1 x)) x)) (+.f64 1/12 (*.f64 -1/2 (log.f64 (/.f64 -1 x)))))
(fma.f64 1/12 (.f64 x (log.f64 (/.f64 -1 x))) (+.f64 1/12 (.f64 -1/2 (log.f64 (/.f64 -1 x)))))
(fma.f64 1/12 (*.f64 x (log.f64 (/.f64 -1 x))) (fma.f64 -1/2 (log.f64 (/.f64 -1 x)) 1/12))
(+.f64 1/12 (.f64 (log.f64 (/.f64 -1 x)) (+.f64 -1/2 (.f64 x 1/12))))
(+.f64 (.f64 1/12 (.f64 (log.f64 (/.f64 -1 x)) x)) (+.f64 1/12 (+.f64 (.f64 -1 (/.f64 (+.f64 11/24 (log.f64 (/.f64 -1 x))) x)) (.f64 -1/2 (log.f64 (/.f64 -1 x))))))
(fma.f64 1/12 (.f64 x (log.f64 (/.f64 -1 x))) (+.f64 1/12 (fma.f64 -1 (/.f64 (+.f64 11/24 (log.f64 (/.f64 -1 x))) x) (.f64 -1/2 (log.f64 (/.f64 -1 x))))))
(+.f64 (fma.f64 1/12 (*.f64 x (log.f64 (/.f64 -1 x))) (fma.f64 -1/2 (log.f64 (/.f64 -1 x)) 1/12)) (/.f64 (neg.f64 (+.f64 11/24 (log.f64 (/.f64 -1 x)))) x))
(-.f64 1/12 (-.f64 (/.f64 (+.f64 11/24 (log.f64 (/.f64 -1 x))) x) (.f64 (log.f64 (/.f64 -1 x)) (+.f64 -1/2 (.f64 x 1/12)))))
(-.f64 (+.f64 (.f64 1/12 (.f64 (log.f64 (/.f64 -1 x)) x)) (+.f64 1/12 (+.f64 (.f64 -1 (/.f64 (+.f64 11/24 (log.f64 (/.f64 -1 x))) x)) (.f64 -1/2 (log.f64 (/.f64 -1 x)))))) (*.f64 11/9 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 1/12 (.f64 x (log.f64 (/.f64 -1 x))) (+.f64 1/12 (fma.f64 -1 (/.f64 (+.f64 11/24 (log.f64 (/.f64 -1 x))) x) (.f64 -1/2 (log.f64 (/.f64 -1 x)))))) (/.f64 11/9 (*.f64 x x)))
(+.f64 (+.f64 (fma.f64 1/12 (.f64 x (log.f64 (/.f64 -1 x))) (fma.f64 -1/2 (log.f64 (/.f64 -1 x)) 1/12)) (/.f64 (neg.f64 (+.f64 11/24 (log.f64 (/.f64 -1 x)))) x)) (/.f64 -11/9 (.f64 x x)))
(+.f64 (-.f64 1/12 (-.f64 (/.f64 (+.f64 11/24 (log.f64 (/.f64 -1 x))) x) (.f64 (log.f64 (/.f64 -1 x)) (+.f64 -1/2 (.f64 x 1/12))))) (*.f64 (pow.f64 x -2) -11/9))
(/.f64 1 x)
(*.f64 -1/12 x)
(*.f64 x -1/12)
(*.f64 -1/12 x)
(*.f64 x -1/12)
(+.f64 0 (*.f64 -1/12 x))
(*.f64 x -1/12)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/12) x)) (cbrt.f64 (pow.f64 (exp.f64 -1/12) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/12) x))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/12) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/12) x))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/12) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/12) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/12) x))))
(*.f64 x -1/12)
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/12 x))) 1)
(*.f64 x -1/12)
(pow.f64 (*.f64 -1/12 x) 1)
(*.f64 x -1/12)
(pow.f64 (cbrt.f64 (*.f64 -1/12 x)) 3)
(*.f64 x -1/12)
(pow.f64 (.f64 1/144 (.f64 x x)) 1/2)
(sqrt.f64 (.f64 1/144 (.f64 x x)))
(sqrt.f64 (.f64 x (.f64 x 1/144)))
(pow.f64 (*.f64 -1/1728 (pow.f64 x 3)) 1/3)
(*.f64 x -1/12)
(pow.f64 (sqrt.f64 (*.f64 -1/12 x)) 2)
(*.f64 x -1/12)
(sqrt.f64 (.f64 1/144 (.f64 x x)))
(sqrt.f64 (.f64 x (.f64 x 1/144)))
(log.f64 (pow.f64 (exp.f64 -1/12) x))
(*.f64 x -1/12)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/12 x))))
(*.f64 x -1/12)
(cbrt.f64 (*.f64 -1/1728 (pow.f64 x 3)))
(*.f64 x -1/12)
(expm1.f64 (log1p.f64 (*.f64 -1/12 x)))
(*.f64 x -1/12)
(exp.f64 (log.f64 (*.f64 -1/12 x)))
(*.f64 x -1/12)
(exp.f64 (.f64 (log.f64 (.f64 -1/12 x)) 1))
(*.f64 x -1/12)
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 -1/12 x)) 1) 1))
(*.f64 x -1/12)
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 -1/12 x))) 3))
(*.f64 x -1/12)
(exp.f64 (.f64 (log.f64 (.f64 -1/1728 (pow.f64 x 3))) 1/3))
(*.f64 x -1/12)
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 -1/12 x)) 3) 1/3))
(*.f64 x -1/12)
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 -1/12 x))) 2))
(*.f64 x -1/12)
(log1p.f64 (expm1.f64 (*.f64 -1/12 x)))
(*.f64 x -1/12)
(+.f64 0 (*.f64 (+.f64 (/.f64 1 x) (fma.f64 -1/12 x 1/2)) (log1p.f64 x)))
(*.f64 (+.f64 (/.f64 1 x) (fma.f64 -1/12 x 1/2)) (log1p.f64 x))
(fma.f64 (fma.f64 x -1/12 1/2) (log1p.f64 x) (/.f64 (log1p.f64 x) x))
(*.f64 (+.f64 (/.f64 1 x) (fma.f64 x -1/12 1/2)) (log1p.f64 x))
(+.f64 (.f64 (log1p.f64 x) 1/2) (.f64 (log1p.f64 x) (fma.f64 -1/12 x (/.f64 1 x))))
(*.f64 (+.f64 (/.f64 1 x) (fma.f64 -1/12 x 1/2)) (log1p.f64 x))
(fma.f64 (fma.f64 x -1/12 1/2) (log1p.f64 x) (/.f64 (log1p.f64 x) x))
(*.f64 (+.f64 (/.f64 1 x) (fma.f64 x -1/12 1/2)) (log1p.f64 x))
(+.f64 (.f64 (log1p.f64 x) (fma.f64 -1/12 x (/.f64 1 x))) (.f64 (log1p.f64 x) 1/2))
(*.f64 (+.f64 (/.f64 1 x) (fma.f64 -1/12 x 1/2)) (log1p.f64 x))
(fma.f64 (fma.f64 x -1/12 1/2) (log1p.f64 x) (/.f64 (log1p.f64 x) x))
(*.f64 (+.f64 (/.f64 1 x) (fma.f64 x -1/12 1/2)) (log1p.f64 x))
(+.f64 (.f64 (log1p.f64 x) (fma.f64 -1/12 x 1/2)) (.f64 (log1p.f64 x) (/.f64 1 x)))
(*.f64 (+.f64 (/.f64 1 x) (fma.f64 -1/12 x 1/2)) (log1p.f64 x))
(fma.f64 (fma.f64 x -1/12 1/2) (log1p.f64 x) (/.f64 (log1p.f64 x) x))
(*.f64 (+.f64 (/.f64 1 x) (fma.f64 x -1/12 1/2)) (log1p.f64 x))
(+.f64 (.f64 1/2 (log1p.f64 x)) (.f64 (fma.f64 -1/12 x (/.f64 1 x)) (log1p.f64 x)))
(*.f64 (+.f64 (/.f64 1 x) (fma.f64 -1/12 x 1/2)) (log1p.f64 x))
(fma.f64 (fma.f64 x -1/12 1/2) (log1p.f64 x) (/.f64 (log1p.f64 x) x))
(*.f64 (+.f64 (/.f64 1 x) (fma.f64 x -1/12 1/2)) (log1p.f64 x))
(+.f64 (.f64 (fma.f64 -1/12 x (/.f64 1 x)) (log1p.f64 x)) (.f64 1/2 (log1p.f64 x)))
(*.f64 (+.f64 (/.f64 1 x) (fma.f64 -1/12 x 1/2)) (log1p.f64 x))
(fma.f64 (fma.f64 x -1/12 1/2) (log1p.f64 x) (/.f64 (log1p.f64 x) x))
(*.f64 (+.f64 (/.f64 1 x) (fma.f64 x -1/12 1/2)) (log1p.f64 x))
(+.f64 (.f64 (fma.f64 -1/12 x 1/2) (log1p.f64 x)) (.f64 (/.f64 1 x) (log1p.f64 x)))
(*.f64 (+.f64 (/.f64 1 x) (fma.f64 -1/12 x 1/2)) (log1p.f64 x))
(fma.f64 (fma.f64 x -1/12 1/2) (log1p.f64 x) (/.f64 (log1p.f64 x) x))
(*.f64 (+.f64 (/.f64 1 x) (fma.f64 x -1/12 1/2)) (log1p.f64 x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) (+.f64 (/.f64 1 x) (fma.f64 -1/12 x 1/2)))) (cbrt.f64 (pow.f64 (+.f64 x 1) (+.f64 (/.f64 1 x) (fma.f64 -1/12 x 1/2)))))) (log.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) (+.f64 (/.f64 1 x) (fma.f64 -1/12 x 1/2))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) (+.f64 (/.f64 1 x) (fma.f64 x -1/12 1/2)))))) (log.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) (+.f64 (/.f64 1 x) (fma.f64 x -1/12 1/2))))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) (+.f64 (/.f64 1 x) (fma.f64 x -1/12 1/2))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (+.f64 x 1) (+.f64 (/.f64 1 x) (fma.f64 -1/12 x 1/2))))) (log.f64 (sqrt.f64 (pow.f64 (+.f64 x 1) (+.f64 (/.f64 1 x) (fma.f64 -1/12 x 1/2))))))
(*.f64 (+.f64 (/.f64 1 x) (fma.f64 -1/12 x 1/2)) (log1p.f64 x))
(fma.f64 (fma.f64 x -1/12 1/2) (log1p.f64 x) (/.f64 (log1p.f64 x) x))
(*.f64 (+.f64 (/.f64 1 x) (fma.f64 x -1/12 1/2)) (log1p.f64 x))
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(fma.f64 (pow.f64 (fma.f64 -1/12 x (/.f64 1 x)) 2) (/.f64 1 (fma.f64 -1/12 x (/.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2) (/.f64 1 x)))
(+.f64 (fma.f64 x -1/12 (/.f64 1 x)) (fma.f64 (/.f64 -1 x) 1 (/.f64 1 x)))
(+.f64 (fma.f64 x -1/12 (/.f64 1 x)) (+.f64 (/.f64 1 x) (/.f64 -1 x)))
(+.f64 (fma.f64 x -1/12 (/.f64 1 x)) (*.f64 (/.f64 1 x) 0))
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (*.f64 -1/12 x))
(fma.f64 x -1/12 (/.f64 1 x))
(fma.f64 (sqrt.f64 (.f64 -1/12 x)) (sqrt.f64 (.f64 -1/12 x)) (/.f64 1 x))
(fma.f64 x -1/12 (/.f64 1 x))
(fma.f64 (sqrt.f64 (.f64 -1/12 x)) (sqrt.f64 (.f64 -1/12 x)) (neg.f64 (/.f64 1 x)))
(fma.f64 x -1/12 (/.f64 -1 x))
(fma.f64 (sqrt.f64 (.f64 -1/12 x)) (sqrt.f64 (.f64 -1/12 x)) (*.f64 (neg.f64 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x))))
(fma.f64 x -1/12 (*.f64 (neg.f64 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x))))
(fma.f64 x -1/12 (/.f64 (neg.f64 (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 x)))
(-.f64 (*.f64 x -1/12) (/.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 x)))
(fma.f64 (sqrt.f64 (.f64 -1/12 x)) (sqrt.f64 (.f64 -1/12 x)) (*.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2)))
(fma.f64 x -1/12 (/.f64 -1 x))
(fma.f64 (sqrt.f64 (fma.f64 -1/12 x (/.f64 1 x))) (sqrt.f64 (fma.f64 -1/12 x (/.f64 1 x))) (fma.f64 (neg.f64 (/.f64 1 x)) 1 (/.f64 1 x)))
(+.f64 (fma.f64 x -1/12 (/.f64 1 x)) (fma.f64 (/.f64 -1 x) 1 (/.f64 1 x)))
(+.f64 (fma.f64 x -1/12 (/.f64 1 x)) (+.f64 (/.f64 1 x) (/.f64 -1 x)))
(+.f64 (fma.f64 x -1/12 (/.f64 1 x)) (*.f64 (/.f64 1 x) 0))
(fma.f64 (sqrt.f64 (fma.f64 -1/12 x (/.f64 1 x))) (sqrt.f64 (fma.f64 -1/12 x (/.f64 1 x))) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 x))) (cbrt.f64 (pow.f64 x -2)) (/.f64 1 x)))
(+.f64 (fma.f64 x -1/12 (/.f64 1 x)) (fma.f64 (/.f64 -1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2)) (/.f64 1 x)))
(+.f64 (fma.f64 x -1/12 (/.f64 1 x)) (-.f64 (/.f64 1 x) (/.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 x))))
(fma.f64 (sqrt.f64 (fma.f64 -1/12 x (/.f64 1 x))) (sqrt.f64 (fma.f64 -1/12 x (/.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2) (/.f64 1 x)))
(+.f64 (fma.f64 x -1/12 (/.f64 1 x)) (fma.f64 (/.f64 -1 x) 1 (/.f64 1 x)))
(+.f64 (fma.f64 x -1/12 (/.f64 1 x)) (+.f64 (/.f64 1 x) (/.f64 -1 x)))
(+.f64 (fma.f64 x -1/12 (/.f64 1 x)) (*.f64 (/.f64 1 x) 0))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) -1/12) (/.f64 1 x))
(fma.f64 x -1/12 (/.f64 1 x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) -1/12) (neg.f64 (/.f64 1 x)))
(fma.f64 x -1/12 (/.f64 -1 x))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) -1/12) (.f64 (neg.f64 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x))))
(fma.f64 x -1/12 (*.f64 (neg.f64 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x))))
(fma.f64 x -1/12 (/.f64 (neg.f64 (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 x)))
(-.f64 (*.f64 x -1/12) (/.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 x)))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) -1/12) (.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2)))
(fma.f64 x -1/12 (/.f64 -1 x))
(fma.f64 -1 (/.f64 1 x) (*.f64 -1/12 x))
(fma.f64 x -1/12 (/.f64 -1 x))
(fma.f64 (fma.f64 -1/1728 (pow.f64 x 3) (pow.f64 x -3)) (/.f64 1 (-.f64 (fma.f64 1/144 (*.f64 x x) (pow.f64 x -2)) -1/12)) (fma.f64 (neg.f64 (/.f64 1 x)) 1 (/.f64 1 x)))
(fma.f64 (fma.f64 -1/1728 (pow.f64 x 3) (pow.f64 x -3)) (/.f64 1 (+.f64 (fma.f64 1/144 (*.f64 x x) (pow.f64 x -2)) 1/12)) (fma.f64 (/.f64 -1 x) 1 (/.f64 1 x)))
(+.f64 (/.f64 (fma.f64 (pow.f64 x 3) -1/1728 (pow.f64 x -3)) (+.f64 1/12 (fma.f64 1/144 (*.f64 x x) (pow.f64 x -2)))) (+.f64 (/.f64 1 x) (/.f64 -1 x)))
(+.f64 (/.f64 (fma.f64 (pow.f64 x 3) -1/1728 (pow.f64 x -3)) (+.f64 1/12 (fma.f64 1/144 (.f64 x x) (pow.f64 x -2)))) (.f64 (/.f64 1 x) 0))
(fma.f64 (fma.f64 -1/1728 (pow.f64 x 3) (pow.f64 x -3)) (/.f64 1 (-.f64 (fma.f64 1/144 (*.f64 x x) (pow.f64 x -2)) -1/12)) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 x))) (cbrt.f64 (pow.f64 x -2)) (/.f64 1 x)))
(fma.f64 (fma.f64 -1/1728 (pow.f64 x 3) (pow.f64 x -3)) (/.f64 1 (+.f64 (fma.f64 1/144 (*.f64 x x) (pow.f64 x -2)) 1/12)) (fma.f64 (/.f64 -1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2)) (/.f64 1 x)))
(+.f64 (/.f64 (fma.f64 (pow.f64 x 3) -1/1728 (pow.f64 x -3)) (+.f64 1/12 (fma.f64 1/144 (*.f64 x x) (pow.f64 x -2)))) (fma.f64 (/.f64 -1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2)) (/.f64 1 x)))
(+.f64 (/.f64 (fma.f64 (pow.f64 x 3) -1/1728 (pow.f64 x -3)) (+.f64 1/12 (fma.f64 1/144 (*.f64 x x) (pow.f64 x -2)))) (-.f64 (/.f64 1 x) (/.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 x))))
(fma.f64 (fma.f64 -1/1728 (pow.f64 x 3) (pow.f64 x -3)) (/.f64 1 (-.f64 (fma.f64 1/144 (*.f64 x x) (pow.f64 x -2)) -1/12)) (fma.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2) (/.f64 1 x)))
(fma.f64 (fma.f64 -1/1728 (pow.f64 x 3) (pow.f64 x -3)) (/.f64 1 (+.f64 (fma.f64 1/144 (*.f64 x x) (pow.f64 x -2)) 1/12)) (fma.f64 (/.f64 -1 x) 1 (/.f64 1 x)))
(+.f64 (/.f64 (fma.f64 (pow.f64 x 3) -1/1728 (pow.f64 x -3)) (+.f64 1/12 (fma.f64 1/144 (*.f64 x x) (pow.f64 x -2)))) (+.f64 (/.f64 1 x) (/.f64 -1 x)))
(+.f64 (/.f64 (fma.f64 (pow.f64 x 3) -1/1728 (pow.f64 x -3)) (+.f64 1/12 (fma.f64 1/144 (.f64 x x) (pow.f64 x -2)))) (.f64 (/.f64 1 x) 0))
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 x)) (*.f64 -1/12 x))
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 x)) (*.f64 x -1/12))
(+.f64 (*.f64 x -1/12) (/.f64 (/.f64 1 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)))
(fma.f64 (+.f64 (sqrt.f64 (.f64 -1/12 x)) (pow.f64 x -1/2)) (-.f64 (sqrt.f64 (.f64 -1/12 x)) (pow.f64 x -1/2)) (fma.f64 (neg.f64 (/.f64 1 x)) 1 (/.f64 1 x)))
(fma.f64 (+.f64 (sqrt.f64 (.f64 x -1/12)) (pow.f64 x -1/2)) (-.f64 (sqrt.f64 (.f64 x -1/12)) (pow.f64 x -1/2)) (fma.f64 (/.f64 -1 x) 1 (/.f64 1 x)))
(fma.f64 (+.f64 (pow.f64 x -1/2) (sqrt.f64 (.f64 x -1/12))) (-.f64 (sqrt.f64 (.f64 x -1/12)) (pow.f64 x -1/2)) (+.f64 (/.f64 1 x) (/.f64 -1 x)))
(+.f64 (fma.f64 x -1/12 (/.f64 -1 x)) (*.f64 (/.f64 1 x) 0))
(fma.f64 (+.f64 (sqrt.f64 (.f64 -1/12 x)) (pow.f64 x -1/2)) (-.f64 (sqrt.f64 (.f64 -1/12 x)) (pow.f64 x -1/2)) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 x))) (cbrt.f64 (pow.f64 x -2)) (/.f64 1 x)))
(fma.f64 (+.f64 (sqrt.f64 (.f64 x -1/12)) (pow.f64 x -1/2)) (-.f64 (sqrt.f64 (.f64 x -1/12)) (pow.f64 x -1/2)) (fma.f64 (/.f64 -1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2)) (/.f64 1 x)))
(fma.f64 (+.f64 (pow.f64 x -1/2) (sqrt.f64 (.f64 x -1/12))) (-.f64 (sqrt.f64 (.f64 x -1/12)) (pow.f64 x -1/2)) (fma.f64 (/.f64 -1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2)) (/.f64 1 x)))
(+.f64 (fma.f64 x -1/12 (/.f64 -1 x)) (-.f64 (/.f64 1 x) (/.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 x))))
(fma.f64 (+.f64 (sqrt.f64 (.f64 -1/12 x)) (pow.f64 x -1/2)) (-.f64 (sqrt.f64 (.f64 -1/12 x)) (pow.f64 x -1/2)) (fma.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2) (/.f64 1 x)))
(fma.f64 (+.f64 (sqrt.f64 (.f64 x -1/12)) (pow.f64 x -1/2)) (-.f64 (sqrt.f64 (.f64 x -1/12)) (pow.f64 x -1/2)) (fma.f64 (/.f64 -1 x) 1 (/.f64 1 x)))
(fma.f64 (+.f64 (pow.f64 x -1/2) (sqrt.f64 (.f64 x -1/12))) (-.f64 (sqrt.f64 (.f64 x -1/12)) (pow.f64 x -1/2)) (+.f64 (/.f64 1 x) (/.f64 -1 x)))
(+.f64 (fma.f64 x -1/12 (/.f64 -1 x)) (*.f64 (/.f64 1 x) 0))
(fma.f64 (*.f64 -1/12 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (/.f64 1 x))
(fma.f64 x -1/12 (/.f64 1 x))
(fma.f64 (*.f64 -1/12 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (neg.f64 (/.f64 1 x)))
(fma.f64 x -1/12 (/.f64 -1 x))
(fma.f64 (.f64 -1/12 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 (neg.f64 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x))))
(fma.f64 x -1/12 (*.f64 (neg.f64 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x))))
(fma.f64 x -1/12 (/.f64 (neg.f64 (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 x)))
(-.f64 (*.f64 x -1/12) (/.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 x)))
(fma.f64 (.f64 -1/12 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2)))
(fma.f64 x -1/12 (/.f64 -1 x))
(fma.f64 (*.f64 -1/12 (sqrt.f64 x)) (sqrt.f64 x) (/.f64 1 x))
(fma.f64 x -1/12 (/.f64 1 x))
(fma.f64 (*.f64 -1/12 (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 (/.f64 1 x)))
(fma.f64 x -1/12 (/.f64 -1 x))
(fma.f64 (.f64 -1/12 (sqrt.f64 x)) (sqrt.f64 x) (.f64 (neg.f64 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x))))
(fma.f64 x -1/12 (*.f64 (neg.f64 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x))))
(fma.f64 x -1/12 (/.f64 (neg.f64 (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 x)))
(-.f64 (*.f64 x -1/12) (/.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 x)))
(fma.f64 (.f64 -1/12 (sqrt.f64 x)) (sqrt.f64 x) (.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2)))
(fma.f64 x -1/12 (/.f64 -1 x))

localize11.0ms (0.1%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
	100.0%	(log1p.f64 (neg.f64 x))
✓	99.9%	(/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 3) (log1p.f64 x))
✓	99.0%	(cbrt.f64 (log1p.f64 (neg.f64 x)))
✓	98.8%	(pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 3)

Compiler

Compiled 29 to 11 computations (62.1% saved)

series20.0ms (0.1%)

Counts

3 → 28

Calls

9 calls:

Time	Variable		Point	Expression
11.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 3)
4.0ms	x	@	inf	(pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 3)
1.0ms	x	@	0	(pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 3)
1.0ms	x	@	-inf	(cbrt.f64 (log1p.f64 (neg.f64 x)))
1.0ms	x	@	inf	(cbrt.f64 (log1p.f64 (neg.f64 x)))

rewrite138.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1570×	`pow1`
1464×	`add-exp-log`
1464×	`log1p-expm1-u`
1464×	`expm1-log1p-u`
1430×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	41
1	233	29
2	2700	29

Stop Event

1×	node limit

Counts

3 → 76

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 3)
(cbrt.f64 (log1p.f64 (neg.f64 x)))
(/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 3) (log1p.f64 x))

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

simplify351.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

758×	`fma-def`
612×	`associate-r`
552×	`times-frac`
532×	`associate-l`
528×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	481	10308
1	1471	9110
2	5710	8822

Stop Event

1×	node limit

Counts

104 → 175

Calls

Call 1

Inputs
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (pow.f64 1 1/3))
(+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (pow.f64 1 1/3)) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) 4) 1) 1/9) (/.f64 1 x))) (.f64 -2/3 (.f64 (pow.f64 (.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) 4) 1) 1/9) (/.f64 1 x)))))
(+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1))) 1/9) (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (pow.f64 1 1/3)) (+.f64 (.f64 -1/3 (.f64 (/.f64 (+.f64 1/2 (.f64 1/3 (pow.f64 (/.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1))) 1/9))) (pow.f64 x 2)) (pow.f64 1 1/3))) (+.f64 (.f64 (pow.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) 1) 1/3) (/.f64 (+.f64 (.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) 4)) 1/9)) (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1))) 1/3) (+.f64 1/2 (.f64 1/3 (pow.f64 (/.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1))) 1/9)))))) (pow.f64 x 2))) (+.f64 (.f64 -2/3 (.f64 (pow.f64 (.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) 4) 1) 1/9) (/.f64 1 x))) (.f64 -1/3 (.f64 (pow.f64 (.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) 4) 1) 1/9) (/.f64 1 x))))))))
(+.f64 (.f64 2/9 (.f64 (/.f64 (+.f64 1/2 (.f64 1/3 (pow.f64 (/.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1))) 1/9))) (pow.f64 x 3)) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) 5)) 1/9))) (+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (pow.f64 1 1/3)) (+.f64 (.f64 (pow.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) 1) 1/3) (/.f64 (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1))) 1/3) (+.f64 1/3 (+.f64 (.f64 -1/27 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) 2)) 1/3)) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) 5)) 1/9) (+.f64 1/2 (.f64 1/3 (pow.f64 (/.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1))) 1/9))))))))) (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) 8)) 1/9) (+.f64 1/2 (.f64 1/3 (pow.f64 (/.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1))) 1/9)))))) (pow.f64 x 3))) (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1))) 1/9) (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 -2/3 (.f64 (pow.f64 (.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) 4) 1) 1/9) (/.f64 1 x))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) 2)) 1/9) (/.f64 (+.f64 (.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) 4)) 1/9)) (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1))) 1/3) (+.f64 1/2 (.f64 1/3 (pow.f64 (/.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1))) 1/9)))))) (pow.f64 x 3)))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) (/.f64 (+.f64 1/3 (+.f64 (.f64 -1/27 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) 2)) 1/3)) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) 5)) 1/9) (+.f64 1/2 (.f64 1/3 (pow.f64 (/.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1))) 1/9))))))) (pow.f64 x 3)))) (+.f64 (.f64 (pow.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) 1) 1/3) (/.f64 (+.f64 (.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) 4)) 1/9)) (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1))) 1/3) (+.f64 1/2 (.f64 1/3 (pow.f64 (/.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1))) 1/9)))))) (pow.f64 x 2))) (+.f64 (.f64 -1/3 (.f64 (/.f64 (+.f64 1/2 (.f64 1/3 (pow.f64 (/.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1))) 1/9))) (pow.f64 x 2)) (pow.f64 1 1/3))) (.f64 -1/3 (.f64 (pow.f64 (.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) 4) 1) 1/9) (/.f64 1 x))))))))))))
(.f64 -1 (.f64 (log.f64 (/.f64 -1 x)) (pow.f64 1 1/3)))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 4) (pow.f64 1 4)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))) (.f64 1/3 (.f64 (pow.f64 (.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 4) (pow.f64 1 4)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3)))) x)) (.f64 -1 (*.f64 (log.f64 (/.f64 -1 x)) (pow.f64 1 1/3))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 4) (pow.f64 1 4)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))) (.f64 1/3 (.f64 (pow.f64 (.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 4) (pow.f64 1 4)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3)))) x)) (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 (/.f64 -1 x))) 1/9) (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (/.f64 1 (pow.f64 x 2))))) (+.f64 (.f64 (/.f64 (.f64 (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (log.f64 (/.f64 -1 x))) 1/3) (/.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 (/.f64 -1 x))) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) 1/2) (cbrt.f64 -1)))) (.f64 1/9 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 (/.f64 -1 x)) 4)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)))) (cbrt.f64 -1)) (pow.f64 x 2)) (pow.f64 (.f64 (log.f64 (/.f64 -1 x)) 1) 1/3)) (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x)) (pow.f64 1 1/3))) (.f64 -1/3 (.f64 (pow.f64 1 1/3) (/.f64 (+.f64 (.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 (/.f64 -1 x))) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) 1/2) (pow.f64 x 2))))))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 4) (pow.f64 1 4)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))) (.f64 1/3 (.f64 (pow.f64 (.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 4) (pow.f64 1 4)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3)))) x)) (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 (/.f64 -1 x))) 1/9) (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (/.f64 1 (pow.f64 x 2))))) (+.f64 (.f64 (/.f64 (.f64 (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (log.f64 (/.f64 -1 x))) 1/3) (/.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 (/.f64 -1 x))) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) 1/2) (cbrt.f64 -1)))) (.f64 1/9 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 (/.f64 -1 x)) 4)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)))) (cbrt.f64 -1)) (pow.f64 x 2)) (pow.f64 (.f64 (log.f64 (/.f64 -1 x)) 1) 1/3)) (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 x)) (pow.f64 1 1/3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 1/3 (+.f64 (.f64 1/27 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (/.f64 -1 x)) 2)) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (.f64 -2/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 (/.f64 -1 x)) 5)) 1/9) (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 (/.f64 -1 x))) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) 1/2) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3)))))))) (+.f64 (.f64 -2/9 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 (/.f64 -1 x)) 5)) 1/9) (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 (/.f64 -1 x))) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) 1/2) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3)))) (+.f64 (.f64 (.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (log.f64 (/.f64 -1 x))) 1/3) (/.f64 (-.f64 1/3 (+.f64 (.f64 1/27 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (/.f64 -1 x)) 2)) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (.f64 -2/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 (/.f64 -1 x)) 5)) 1/9) (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 (/.f64 -1 x))) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) 1/2) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3)))))) (cbrt.f64 -1)))) (.f64 -2/9 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 (/.f64 -1 x)) 8)) 1/9) (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 (/.f64 -1 x))) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) 1/2) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 8)) 1/3))))) (cbrt.f64 -1)) (pow.f64 (.f64 (log.f64 (/.f64 -1 x)) 1) 1/3)) (.f64 1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 (/.f64 -1 x)) 2)) 1/9) (.f64 (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (log.f64 (/.f64 -1 x))) 1/3) (/.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 (/.f64 -1 x))) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) 1/2) (cbrt.f64 -1)))) (.f64 1/9 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 (/.f64 -1 x)) 4)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)))) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3))))))) (pow.f64 x 3))) (.f64 -1/3 (.f64 (pow.f64 1 1/3) (/.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 (/.f64 -1 x))) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) 1/2) (pow.f64 x 2)))))))))
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) 1/3)
(+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) 2)) 1/9) (/.f64 1 x))) (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) 1/3))
(+.f64 (.f64 -1/3 (.f64 (/.f64 (+.f64 1/2 (.f64 1/3 (pow.f64 (/.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1))) 1/9))) (pow.f64 x 2)) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) 2)) 1/3))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) 2)) 1/9) (/.f64 1 x))) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) 1/3)))
(+.f64 (.f64 -1/3 (.f64 (/.f64 (+.f64 1/2 (.f64 1/3 (pow.f64 (/.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1))) 1/9))) (pow.f64 x 2)) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) 2)) 1/3))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) 2)) 1/9) (/.f64 1 x))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) 2)) 1/3) (/.f64 (+.f64 1/3 (+.f64 (.f64 -1/27 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) 2)) 1/3)) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) 5)) 1/9) (+.f64 1/2 (.f64 1/3 (pow.f64 (/.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1))) 1/9))))))) (pow.f64 x 3)))) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) 1/3))))
(.f64 (pow.f64 (.f64 (log.f64 (/.f64 -1 x)) 1) 1/3) (cbrt.f64 -1))
(+.f64 (.f64 (pow.f64 (.f64 (log.f64 (/.f64 -1 x)) 1) 1/3) (cbrt.f64 -1)) (.f64 -1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 (/.f64 -1 x)) 2)) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (/.f64 1 x)))))
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-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))))
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(-.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)))))))
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(.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
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(-.f64 (+.f64 1 (log1p.f64 x)) 1)
(*.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))
(*.f64 (log1p.f64 x) 1)
(*.f64 1 (log1p.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 x))) 2) (.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)))
(*.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)))
(.f64 (pow.f64 (log1p.f64 x) 1/6) (.f64 (pow.f64 (log1p.f64 x) 1/6) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 x))) 2) 3) (cbrt.f64 (log1p.f64 x)))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 x) 1/6) 3) (pow.f64 (pow.f64 (log1p.f64 x) 1/6) 3))
(.f64 (.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) 1) (cbrt.f64 (log1p.f64 x)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 x))) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 x))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (pow.f64 (log1p.f64 x) 1/6)) (pow.f64 (log1p.f64 x) 1/6))
(sqrt.f64 (pow.f64 (log1p.f64 x) 2))
(log.f64 (+.f64 x 1))
(cbrt.f64 (pow.f64 (log1p.f64 x) 3))
(expm1.f64 (log1p.f64 (log1p.f64 x)))
(exp.f64 (log.f64 (log1p.f64 x)))
(log1p.f64 x)
(-.f64 (+.f64 1 (cbrt.f64 (log1p.f64 x))) 1)
(*.f64 (cbrt.f64 (log1p.f64 x)) 1)
(*.f64 1 (cbrt.f64 (log1p.f64 x)))
(*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 x))) 2))
(*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 x))) 2) (cbrt.f64 (cbrt.f64 (log1p.f64 x))))
(*.f64 (pow.f64 (log1p.f64 x) 1/6) (pow.f64 (log1p.f64 x) 1/6))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) 1/3) (cbrt.f64 (cbrt.f64 (log1p.f64 x))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (log1p.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 (log1p.f64 x)) 1/3) (pow.f64 (sqrt.f64 (log1p.f64 x)) 1/3))
(pow.f64 (cbrt.f64 (log1p.f64 x)) 1)
(pow.f64 (log1p.f64 x) 1/3)
(pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 x))) 3)
(pow.f64 (pow.f64 (log1p.f64 x) 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))
(log.f64 (exp.f64 (cbrt.f64 (log1p.f64 x))))
(expm1.f64 (log1p.f64 (cbrt.f64 (log1p.f64 x))))
(exp.f64 (log.f64 (cbrt.f64 (log1p.f64 x))))
(log1p.f64 (expm1.f64 (cbrt.f64 (log1p.f64 x))))
(-.f64 (+.f64 1 (/.f64 (log1p.f64 x) (log1p.f64 x))) 1)
(.f64 (cbrt.f64 (log1p.f64 x)) (.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (/.f64 1 (log1p.f64 x))))
(*.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 1 (cbrt.f64 (log1p.f64 x))) (/.f64 (log1p.f64 x) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x))) (/.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)))
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) (cbrt.f64 (log1p.f64 x))) (/.f64 (sqrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)))
(*.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))))
(*.f64 (/.f64 (cbrt.f64 (log1p.f64 x)) 1) (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (log1p.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (sqrt.f64 (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)))
(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))
(cbrt.f64 (/.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (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
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (pow.f64 1 1/3))
(fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1))
(+.f64 (log.f64 -1) (log.f64 x))
(+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (pow.f64 1 1/3)) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) 4) 1) 1/9) (/.f64 1 x))) (.f64 -2/3 (.f64 (pow.f64 (.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) 4) 1) 1/9) (/.f64 1 x)))))
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(cbrt.f64 (/.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (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

eval733.0ms (5.4%)

Compiler: Compiled 26959 to 19655 computations (27.1% saved)

prune842.0ms (6.1%)

Pruning

12 alts after pruning (3 fresh and 9 done)

	Pruned	Kept	Total
New	993	2	995
Fresh	0	1	1
Picked	0	1	1
Done	0	8	8
Total	993	12	1005

Accurracy

100.0%

Counts

1005 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	97.4%	(/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 3) (log1p.f64 x))
✓	99.9%	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
✓	7.8%	(/.f64 (log.f64 (-.f64 1 x)) (log1p.f64 x))
✓	98.9%	(-.f64 (+.f64 (.f64 x (.f64 x -1/2)) -1) x)
✓	98.4%	(-.f64 -1 x)
✓	98.9%	(+.f64 (-.f64 -1 x) (.f64 x (.f64 x -1/2)))
✓	99.7%	(*.f64 (/.f64 1 (log1p.f64 x)) (log1p.f64 (neg.f64 x)))
▶	98.3%	(.f64 (+.f64 (/.f64 1 x) 1/2) (-.f64 (.f64 (.f64 x x) (+.f64 -1/2 (.f64 x -1/3))) x))
✓	98.3%	(*.f64 (+.f64 (/.f64 1 x) 1/2) (log1p.f64 (neg.f64 x)))
▶	98.6%	(.f64 (+.f64 1/2 (+.f64 (.f64 -1/12 x) (/.f64 1 x))) (-.f64 (.f64 (.f64 x x) (+.f64 -1/2 (*.f64 x -1/3))) x))
✓	98.8%	(.f64 (+.f64 1/2 (+.f64 (.f64 -1/12 x) (/.f64 1 x))) (log1p.f64 (neg.f64 x)))
	96.7%	-1

Compiler

Compiled 124 to 93 computations (25% saved)

localize29.0ms (0.2%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(.f64 (.f64 x x) (+.f64 -1/2 (*.f64 x -1/3)))
✓	99.7%	(.f64 (+.f64 1/2 (+.f64 (.f64 -1/12 x) (/.f64 1 x))) (-.f64 (.f64 (.f64 x x) (+.f64 -1/2 (*.f64 x -1/3))) x))
	99.5%	(*.f64 -1/12 x)
✓	99.5%	(*.f64 x -1/3)

Compiler

Compiled 81 to 54 computations (33.3% saved)

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(.f64 (.f64 x x) (+.f64 -1/2 (*.f64 x -1/3)))
0.0ms	x	@	-inf	(*.f64 x -1/3)
0.0ms	x	@	inf	(*.f64 x -1/3)
0.0ms	x	@	0	(*.f64 x -1/3)
0.0ms	x	@	inf	(.f64 (+.f64 1/2 (+.f64 (.f64 -1/12 x) (/.f64 1 x))) (-.f64 (.f64 (.f64 x x) (+.f64 -1/2 (*.f64 x -1/3))) x))

rewrite129.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1956×	`fma-def`
708×	`expm1-udef`
702×	`log1p-udef`
600×	`fma-neg`
424×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	89
1	415	81
2	5823	81

Stop Event

1×	node limit

Counts

3 → 111

Calls

Call 1

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

Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 x -1/3))) 1)
(pow.f64 (*.f64 x -1/3) 1)
(pow.f64 (cbrt.f64 (*.f64 x -1/3)) 3)
(pow.f64 (*.f64 -1/27 (pow.f64 x 3)) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x -1/3)) 2)
(sqrt.f64 (.f64 (.f64 x x) 1/9))
(log.f64 (pow.f64 (exp.f64 -1/3) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x -1/3))))
(cbrt.f64 (*.f64 -1/27 (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x -1/3)))
(exp.f64 (log.f64 (*.f64 x -1/3)))
(exp.f64 (.f64 (log.f64 (.f64 x -1/3)) 1))
(log1p.f64 (expm1.f64 (*.f64 x -1/3)))
(+.f64 (.f64 (+.f64 1/2 (fma.f64 x -1/12 (/.f64 1 x))) (.f64 (.f64 x x) (fma.f64 x -1/3 -1/2))) (.f64 (+.f64 1/2 (fma.f64 x -1/12 (/.f64 1 x))) (neg.f64 x)))
(+.f64 (.f64 (-.f64 (.f64 (.f64 x x) (fma.f64 x -1/3 -1/2)) x) 1/2) (.f64 (-.f64 (.f64 (.f64 x x) (fma.f64 x -1/3 -1/2)) x) (fma.f64 x -1/12 (/.f64 1 x))))
(+.f64 (.f64 (-.f64 (.f64 (.f64 x x) (fma.f64 x -1/3 -1/2)) x) (fma.f64 x -1/12 (/.f64 1 x))) (.f64 (-.f64 (.f64 (.f64 x x) (fma.f64 x -1/3 -1/2)) x) 1/2))
(+.f64 (.f64 (-.f64 (.f64 (.f64 x x) (fma.f64 x -1/3 -1/2)) x) (fma.f64 x -1/12 1/2)) (.f64 (-.f64 (.f64 (.f64 x x) (fma.f64 x -1/3 -1/2)) x) (/.f64 1 x)))
(+.f64 (.f64 (.f64 (.f64 x x) (fma.f64 x -1/3 -1/2)) (+.f64 1/2 (fma.f64 x -1/12 (/.f64 1 x)))) (.f64 (neg.f64 x) (+.f64 1/2 (fma.f64 x -1/12 (/.f64 1 x)))))
(+.f64 (.f64 1/2 (-.f64 (.f64 (.f64 x x) (fma.f64 x -1/3 -1/2)) x)) (.f64 (fma.f64 x -1/12 (/.f64 1 x)) (-.f64 (.f64 (.f64 x x) (fma.f64 x -1/3 -1/2)) x)))
(+.f64 (.f64 (fma.f64 x -1/12 (/.f64 1 x)) (-.f64 (.f64 (.f64 x x) (fma.f64 x -1/3 -1/2)) x)) (.f64 1/2 (-.f64 (.f64 (.f64 x x) (fma.f64 x -1/3 -1/2)) x)))
(+.f64 (.f64 (fma.f64 x -1/12 1/2) (-.f64 (.f64 (.f64 x x) (fma.f64 x -1/3 -1/2)) x)) (.f64 (/.f64 1 x) (-.f64 (.f64 (.f64 x x) (fma.f64 x -1/3 -1/2)) x)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (+.f64 1/2 (fma.f64 x -1/12 (/.f64 1 x))) (-.f64 (.f64 (*.f64 x x) (fma.f64 x -1/3 -1/2)) x)))) 1)
(/.f64 (.f64 (+.f64 1/8 (pow.f64 (fma.f64 x -1/12 (/.f64 1 x)) 3)) (-.f64 (pow.f64 (.f64 (.f64 x x) (fma.f64 x -1/3 -1/2)) 3) (pow.f64 x 3))) (.f64 (fma.f64 (fma.f64 x -1/12 (/.f64 1 x)) (-.f64 (fma.f64 x -1/12 (/.f64 1 x)) 1/2) 1/4) (fma.f64 x (fma.f64 (.f64 x x) (fma.f64 x -1/3 -1/2) x) (.f64 (pow.f64 (fma.f64 x -1/3 -1/2) 2) (pow.f64 x 4)))))
(/.f64 (.f64 (+.f64 1/8 (pow.f64 (fma.f64 x -1/12 (/.f64 1 x)) 3)) (fma.f64 (pow.f64 (fma.f64 x -1/3 -1/2) 2) (pow.f64 x 4) (neg.f64 (.f64 x x)))) (.f64 (fma.f64 (fma.f64 x -1/12 (/.f64 1 x)) (-.f64 (fma.f64 x -1/12 (/.f64 1 x)) 1/2) 1/4) (fma.f64 (.f64 x x) (fma.f64 x -1/3 -1/2) x)))
(/.f64 (.f64 (-.f64 1/4 (pow.f64 (fma.f64 x -1/12 (/.f64 1 x)) 2)) (-.f64 (pow.f64 (.f64 (.f64 x x) (fma.f64 x -1/3 -1/2)) 3) (pow.f64 x 3))) (.f64 (-.f64 1/2 (fma.f64 x -1/12 (/.f64 1 x))) (fma.f64 x (fma.f64 (.f64 x x) (fma.f64 x -1/3 -1/2) x) (.f64 (pow.f64 (fma.f64 x -1/3 -1/2) 2) (pow.f64 x 4)))))
(/.f64 (.f64 (-.f64 1/4 (pow.f64 (fma.f64 x -1/12 (/.f64 1 x)) 2)) (fma.f64 (pow.f64 (fma.f64 x -1/3 -1/2) 2) (pow.f64 x 4) (neg.f64 (.f64 x x)))) (.f64 (-.f64 1/2 (fma.f64 x -1/12 (/.f64 1 x))) (fma.f64 (.f64 x x) (fma.f64 x -1/3 -1/2) x)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 x x) (fma.f64 x -1/3 -1/2)) 3) (pow.f64 x 3)) (+.f64 1/8 (pow.f64 (fma.f64 x -1/12 (/.f64 1 x)) 3))) (.f64 (fma.f64 x (fma.f64 (.f64 x x) (fma.f64 x -1/3 -1/2) x) (.f64 (pow.f64 (fma.f64 x -1/3 -1/2) 2) (pow.f64 x 4))) (fma.f64 (fma.f64 x -1/12 (/.f64 1 x)) (-.f64 (fma.f64 x -1/12 (/.f64 1 x)) 1/2) 1/4)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 x x) (fma.f64 x -1/3 -1/2)) 3) (pow.f64 x 3)) (-.f64 1/4 (pow.f64 (fma.f64 x -1/12 (/.f64 1 x)) 2))) (.f64 (fma.f64 x (fma.f64 (.f64 x x) (fma.f64 x -1/3 -1/2) x) (.f64 (pow.f64 (fma.f64 x -1/3 -1/2) 2) (pow.f64 x 4))) (-.f64 1/2 (fma.f64 x -1/12 (/.f64 1 x)))))
(/.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 x -1/3 -1/2) 2) (pow.f64 x 4) (neg.f64 (.f64 x x))) (+.f64 1/8 (pow.f64 (fma.f64 x -1/12 (/.f64 1 x)) 3))) (.f64 (fma.f64 (.f64 x x) (fma.f64 x -1/3 -1/2) x) (fma.f64 (fma.f64 x -1/12 (/.f64 1 x)) (-.f64 (fma.f64 x -1/12 (/.f64 1 x)) 1/2) 1/4)))
(/.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 x -1/3 -1/2) 2) (pow.f64 x 4) (neg.f64 (.f64 x x))) (-.f64 1/4 (pow.f64 (fma.f64 x -1/12 (/.f64 1 x)) 2))) (.f64 (fma.f64 (.f64 x x) (fma.f64 x -1/3 -1/2) x) (-.f64 1/2 (fma.f64 x -1/12 (/.f64 1 x)))))
(/.f64 (.f64 (+.f64 1/2 (fma.f64 x -1/12 (/.f64 1 x))) (-.f64 (pow.f64 (.f64 (.f64 x x) (fma.f64 x -1/3 -1/2)) 3) (pow.f64 x 3))) (fma.f64 x (fma.f64 (.f64 x x) (fma.f64 x -1/3 -1/2) x) (*.f64 (pow.f64 (fma.f64 x -1/3 -1/2) 2) (pow.f64 x 4))))
(/.f64 (.f64 (+.f64 1/2 (fma.f64 x -1/12 (/.f64 1 x))) (fma.f64 (pow.f64 (fma.f64 x -1/3 -1/2) 2) (pow.f64 x 4) (neg.f64 (.f64 x x)))) (fma.f64 (*.f64 x x) (fma.f64 x -1/3 -1/2) x))
(/.f64 (.f64 (-.f64 (.f64 (*.f64 x x) (fma.f64 x -1/3 -1/2)) x) (+.f64 1/8 (pow.f64 (fma.f64 x -1/12 (/.f64 1 x)) 3))) (fma.f64 (fma.f64 x -1/12 (/.f64 1 x)) (-.f64 (fma.f64 x -1/12 (/.f64 1 x)) 1/2) 1/4))
(/.f64 (.f64 (-.f64 (.f64 (*.f64 x x) (fma.f64 x -1/3 -1/2)) x) (-.f64 1/4 (pow.f64 (fma.f64 x -1/12 (/.f64 1 x)) 2))) (-.f64 1/2 (fma.f64 x -1/12 (/.f64 1 x))))
(/.f64 (.f64 (+.f64 1/8 (pow.f64 (fma.f64 x -1/12 (/.f64 1 x)) 3)) (-.f64 (.f64 (*.f64 x x) (fma.f64 x -1/3 -1/2)) x)) (fma.f64 (fma.f64 x -1/12 (/.f64 1 x)) (-.f64 (fma.f64 x -1/12 (/.f64 1 x)) 1/2) 1/4))
(/.f64 (.f64 (-.f64 1/4 (pow.f64 (fma.f64 x -1/12 (/.f64 1 x)) 2)) (-.f64 (.f64 (*.f64 x x) (fma.f64 x -1/3 -1/2)) x)) (-.f64 1/2 (fma.f64 x -1/12 (/.f64 1 x))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 x x) (fma.f64 x -1/3 -1/2)) 3) (pow.f64 x 3)) (+.f64 1/2 (fma.f64 x -1/12 (/.f64 1 x)))) (fma.f64 x (fma.f64 (.f64 x x) (fma.f64 x -1/3 -1/2) x) (*.f64 (pow.f64 (fma.f64 x -1/3 -1/2) 2) (pow.f64 x 4))))
(/.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 x -1/3 -1/2) 2) (pow.f64 x 4) (neg.f64 (.f64 x x))) (+.f64 1/2 (fma.f64 x -1/12 (/.f64 1 x)))) (fma.f64 (*.f64 x x) (fma.f64 x -1/3 -1/2) x))
(pow.f64 (.f64 (+.f64 1/2 (fma.f64 x -1/12 (/.f64 1 x))) (-.f64 (.f64 (*.f64 x x) (fma.f64 x -1/3 -1/2)) x)) 1)
(pow.f64 (cbrt.f64 (.f64 (+.f64 1/2 (fma.f64 x -1/12 (/.f64 1 x))) (-.f64 (.f64 (*.f64 x x) (fma.f64 x -1/3 -1/2)) x))) 3)
(pow.f64 (pow.f64 (.f64 (+.f64 1/2 (fma.f64 x -1/12 (/.f64 1 x))) (-.f64 (.f64 (*.f64 x x) (fma.f64 x -1/3 -1/2)) x)) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 (+.f64 1/2 (fma.f64 x -1/12 (/.f64 1 x))) (-.f64 (.f64 (*.f64 x x) (fma.f64 x -1/3 -1/2)) x))) 2)
(sqrt.f64 (pow.f64 (.f64 (+.f64 1/2 (fma.f64 x -1/12 (/.f64 1 x))) (-.f64 (.f64 (*.f64 x x) (fma.f64 x -1/3 -1/2)) x)) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 1/2 (fma.f64 x -1/12 (/.f64 1 x)))) (-.f64 (.f64 (.f64 x x) (fma.f64 x -1/3 -1/2)) x)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (+.f64 1/2 (fma.f64 x -1/12 (/.f64 1 x))) (-.f64 (.f64 (*.f64 x x) (fma.f64 x -1/3 -1/2)) x)))))
(cbrt.f64 (pow.f64 (.f64 (+.f64 1/2 (fma.f64 x -1/12 (/.f64 1 x))) (-.f64 (.f64 (*.f64 x x) (fma.f64 x -1/3 -1/2)) x)) 3))
(cbrt.f64 (.f64 (pow.f64 (+.f64 1/2 (fma.f64 x -1/12 (/.f64 1 x))) 3) (pow.f64 (-.f64 (.f64 (*.f64 x x) (fma.f64 x -1/3 -1/2)) x) 3)))
(cbrt.f64 (.f64 (pow.f64 (-.f64 (.f64 (*.f64 x x) (fma.f64 x -1/3 -1/2)) x) 3) (pow.f64 (+.f64 1/2 (fma.f64 x -1/12 (/.f64 1 x))) 3)))
(expm1.f64 (log1p.f64 (.f64 (+.f64 1/2 (fma.f64 x -1/12 (/.f64 1 x))) (-.f64 (.f64 (*.f64 x x) (fma.f64 x -1/3 -1/2)) x))))
(exp.f64 (log.f64 (.f64 (+.f64 1/2 (fma.f64 x -1/12 (/.f64 1 x))) (-.f64 (.f64 (*.f64 x x) (fma.f64 x -1/3 -1/2)) x))))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 1/2 (fma.f64 x -1/12 (/.f64 1 x))) (-.f64 (.f64 (.f64 x x) (fma.f64 x -1/3 -1/2)) x))) 1))
(log1p.f64 (expm1.f64 (.f64 (+.f64 1/2 (fma.f64 x -1/12 (/.f64 1 x))) (-.f64 (.f64 (*.f64 x x) (fma.f64 x -1/3 -1/2)) x))))
(fma.f64 1/2 (-.f64 (.f64 (.f64 x x) (fma.f64 x -1/3 -1/2)) x) (.f64 (fma.f64 x -1/12 (/.f64 1 x)) (-.f64 (.f64 (*.f64 x x) (fma.f64 x -1/3 -1/2)) x)))
(fma.f64 (fma.f64 x -1/12 (/.f64 1 x)) (-.f64 (.f64 (.f64 x x) (fma.f64 x -1/3 -1/2)) x) (.f64 1/2 (-.f64 (.f64 (*.f64 x x) (fma.f64 x -1/3 -1/2)) x)))
(fma.f64 (+.f64 1/2 (fma.f64 x -1/12 (/.f64 1 x))) (.f64 (.f64 x x) (fma.f64 x -1/3 -1/2)) (*.f64 (+.f64 1/2 (fma.f64 x -1/12 (/.f64 1 x))) (neg.f64 x)))
(fma.f64 (.f64 (.f64 x x) (fma.f64 x -1/3 -1/2)) (+.f64 1/2 (fma.f64 x -1/12 (/.f64 1 x))) (*.f64 (neg.f64 x) (+.f64 1/2 (fma.f64 x -1/12 (/.f64 1 x)))))
(fma.f64 (-.f64 (.f64 (.f64 x x) (fma.f64 x -1/3 -1/2)) x) 1/2 (.f64 (-.f64 (.f64 (*.f64 x x) (fma.f64 x -1/3 -1/2)) x) (fma.f64 x -1/12 (/.f64 1 x))))
(fma.f64 (-.f64 (.f64 (.f64 x x) (fma.f64 x -1/3 -1/2)) x) (fma.f64 x -1/12 (/.f64 1 x)) (.f64 (-.f64 (.f64 (*.f64 x x) (fma.f64 x -1/3 -1/2)) x) 1/2))
(fma.f64 (-.f64 (.f64 (.f64 x x) (fma.f64 x -1/3 -1/2)) x) (fma.f64 x -1/12 1/2) (.f64 (-.f64 (.f64 (*.f64 x x) (fma.f64 x -1/3 -1/2)) x) (/.f64 1 x)))
(fma.f64 (fma.f64 x -1/12 1/2) (-.f64 (.f64 (.f64 x x) (fma.f64 x -1/3 -1/2)) x) (.f64 (/.f64 1 x) (-.f64 (.f64 (*.f64 x x) (fma.f64 x -1/3 -1/2)) x)))
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (.f64 x (*.f64 x -1/2)))
(+.f64 (.f64 x (.f64 x -1/2)) (*.f64 -1/3 (pow.f64 x 3)))
(+.f64 (.f64 (.f64 x (.f64 x -1/2)) 1) (.f64 (*.f64 -1/3 (pow.f64 x 3)) 1))
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 x x) (fma.f64 x -1/3 -1/2)))) 1)
(/.f64 (+.f64 (pow.f64 (.f64 x (.f64 x -1/2)) 3) (pow.f64 (.f64 -1/3 (pow.f64 x 3)) 3)) (fma.f64 (.f64 x (.f64 x -1/2)) (.f64 x (.f64 x -1/2)) (-.f64 (.f64 (.f64 -1/3 (pow.f64 x 3)) (.f64 -1/3 (pow.f64 x 3))) (.f64 (.f64 x (.f64 x -1/2)) (.f64 -1/3 (pow.f64 x 3))))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x -1/2)) (.f64 x (.f64 x -1/2))) (.f64 (.f64 -1/3 (pow.f64 x 3)) (.f64 -1/3 (pow.f64 x 3)))) (-.f64 (.f64 x (.f64 x -1/2)) (*.f64 -1/3 (pow.f64 x 3))))
(/.f64 (.f64 (.f64 x x) (fma.f64 -1/27 (pow.f64 x 3) -1/8)) (fma.f64 (*.f64 x -1/3) (fma.f64 x -1/3 1/2) 1/4))
(/.f64 (.f64 (.f64 x x) (-.f64 1/4 (.f64 (.f64 x x) 1/9))) (+.f64 -1/2 (*.f64 1/3 x)))
(/.f64 (.f64 (fma.f64 -1/27 (pow.f64 x 3) -1/8) (.f64 x x)) (fma.f64 (*.f64 x -1/3) (fma.f64 x -1/3 1/2) 1/4))
(/.f64 (.f64 (-.f64 1/4 (.f64 (.f64 x x) 1/9)) (.f64 x x)) (+.f64 -1/2 (*.f64 1/3 x)))
(pow.f64 (.f64 (.f64 x x) (fma.f64 x -1/3 -1/2)) 1)
(pow.f64 (cbrt.f64 (.f64 (.f64 x x) (fma.f64 x -1/3 -1/2))) 3)
(pow.f64 (pow.f64 (.f64 (.f64 x x) (fma.f64 x -1/3 -1/2)) 3) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -1/3 -1/2))) 2)
(sqrt.f64 (*.f64 (pow.f64 (fma.f64 x -1/3 -1/2) 2) (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 (*.f64 x x)) (fma.f64 x -1/3 -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 x x) (fma.f64 x -1/3 -1/2)))))
(cbrt.f64 (pow.f64 (.f64 (.f64 x x) (fma.f64 x -1/3 -1/2)) 3))
(expm1.f64 (log1p.f64 (.f64 (.f64 x x) (fma.f64 x -1/3 -1/2))))
(exp.f64 (log.f64 (.f64 (.f64 x x) (fma.f64 x -1/3 -1/2))))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 x x) (fma.f64 x -1/3 -1/2))) 1))
(log1p.f64 (expm1.f64 (.f64 (.f64 x x) (fma.f64 x -1/3 -1/2))))
(fma.f64 x (.f64 x (.f64 x -1/3)) (.f64 x (.f64 x -1/2)))
(fma.f64 x (.f64 x -1/2) (.f64 -1/3 (pow.f64 x 3)))
(fma.f64 x (.f64 -1/3 (.f64 x x)) (.f64 x (.f64 x -1/2)))
(fma.f64 -1/3 (pow.f64 x 3) (.f64 x (.f64 x -1/2)))
(fma.f64 (.f64 x -1/3) (.f64 x x) (.f64 x (.f64 x -1/2)))
(fma.f64 1 (.f64 -1/3 (pow.f64 x 3)) (.f64 x (*.f64 x -1/2)))
(fma.f64 1 (.f64 x (.f64 x -1/2)) (*.f64 -1/3 (pow.f64 x 3)))
(fma.f64 (.f64 x x) (.f64 x -1/3) (.f64 x (.f64 x -1/2)))
(fma.f64 (.f64 x x) -1/2 (.f64 -1/3 (pow.f64 x 3)))
(fma.f64 -1/2 (.f64 x x) (.f64 -1/3 (pow.f64 x 3)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x -1/3)) 2) (.f64 (cbrt.f64 (.f64 x -1/3)) (.f64 x x)) (.f64 x (.f64 x -1/2)))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 x -1/3)) (.f64 x (.f64 x -1/2)))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (.f64 (pow.f64 (cbrt.f64 x) 2) -1/2) (.f64 -1/3 (pow.f64 x 3)))
(fma.f64 (sqrt.f64 (.f64 x -1/3)) (.f64 (sqrt.f64 (.f64 x -1/3)) (.f64 x x)) (.f64 x (.f64 x -1/2)))
(fma.f64 (pow.f64 x 3) -1/3 (.f64 x (.f64 x -1/2)))
(fma.f64 (.f64 x (.f64 x -1/2)) 1 (.f64 (.f64 -1/3 (pow.f64 x 3)) 1))
(fma.f64 (.f64 (cbrt.f64 (.f64 -1/3 (pow.f64 x 3))) (cbrt.f64 (.f64 -1/3 (pow.f64 x 3)))) (cbrt.f64 (.f64 -1/3 (pow.f64 x 3))) (.f64 x (.f64 x -1/2)))
(fma.f64 (.f64 (cbrt.f64 (.f64 x (.f64 x -1/2))) (cbrt.f64 (.f64 x (.f64 x -1/2)))) (cbrt.f64 (.f64 x (.f64 x -1/2))) (.f64 -1/3 (pow.f64 x 3)))
(fma.f64 (sqrt.f64 (.f64 -1/3 (pow.f64 x 3))) (sqrt.f64 (.f64 -1/3 (pow.f64 x 3))) (.f64 x (.f64 x -1/2)))
(fma.f64 (sqrt.f64 (.f64 x (.f64 x -1/2))) (sqrt.f64 (.f64 x (.f64 x -1/2))) (*.f64 -1/3 (pow.f64 x 3)))
(fma.f64 (.f64 x (sqrt.f64 (.f64 x -1/3))) (.f64 x (sqrt.f64 (.f64 x -1/3))) (.f64 x (.f64 x -1/2)))
(fma.f64 (.f64 (sqrt.f64 (.f64 x -1/3)) x) (.f64 (sqrt.f64 (.f64 x -1/3)) x) (.f64 x (.f64 x -1/2)))
(fma.f64 (.f64 (.f64 x -1/3) x) x (.f64 x (.f64 x -1/2)))
(fma.f64 (.f64 -1/2 x) x (.f64 -1/3 (pow.f64 x 3)))
(fma.f64 (.f64 (.f64 x x) -1/3) x (.f64 x (.f64 x -1/2)))
(fma.f64 (.f64 (.f64 x x) (pow.f64 (cbrt.f64 (.f64 x -1/3)) 2)) (cbrt.f64 (.f64 x -1/3)) (.f64 x (.f64 x -1/2)))
(fma.f64 (.f64 (.f64 x x) (sqrt.f64 (.f64 x -1/3))) (sqrt.f64 (.f64 x -1/3)) (.f64 x (.f64 x -1/2)))
(fma.f64 (.f64 -1/2 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2) (.f64 -1/3 (pow.f64 x 3)))
(fma.f64 (.f64 (.f64 x -1/3) (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2) (.f64 x (.f64 x -1/2)))

simplify131.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1124×	`unswap-sqr`
694×	`associate-/l*`
402×	`associate-r`
388×	`associate-l`
376×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	302	6253
1	820	5883
2	2878	5827

Stop Event

1×	node limit

Counts

147 → 187

Calls

Call 1

Inputs
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
-1
(-.f64 (*.f64 -1 x) 1)
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)
(-.f64 (+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))) 1)
(*.f64 1/36 (pow.f64 x 4))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (.f64 1/36 (pow.f64 x 4)))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 1/36 (pow.f64 x 4)) (*.f64 -1/2 (pow.f64 x 2))))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 1/36 (pow.f64 x 4)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x))))
(*.f64 1/36 (pow.f64 x 4))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (.f64 1/36 (pow.f64 x 4)))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 1/36 (pow.f64 x 4)) (*.f64 -1/2 (pow.f64 x 2))))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 1/36 (pow.f64 x 4)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x))))
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1/3 (pow.f64 x 3)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1/3 (pow.f64 x 3)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1/3 (pow.f64 x 3)))
(*.f64 -1/3 (pow.f64 x 3))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1/3 (pow.f64 x 3)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1/3 (pow.f64 x 3)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1/3 (pow.f64 x 3)))
(*.f64 -1/3 (pow.f64 x 3))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1/3 (pow.f64 x 3)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1/3 (pow.f64 x 3)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1/3 (pow.f64 x 3)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x -1/3))) 1)
(pow.f64 (*.f64 x -1/3) 1)
(pow.f64 (cbrt.f64 (*.f64 x -1/3)) 3)
(pow.f64 (*.f64 -1/27 (pow.f64 x 3)) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x -1/3)) 2)
(sqrt.f64 (.f64 (.f64 x x) 1/9))
(log.f64 (pow.f64 (exp.f64 -1/3) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x -1/3))))
(cbrt.f64 (*.f64 -1/27 (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x -1/3)))
(exp.f64 (log.f64 (*.f64 x -1/3)))
(exp.f64 (.f64 (log.f64 (.f64 x -1/3)) 1))
(log1p.f64 (expm1.f64 (*.f64 x -1/3)))
(+.f64 (.f64 (+.f64 1/2 (fma.f64 x -1/12 (/.f64 1 x))) (.f64 (.f64 x x) (fma.f64 x -1/3 -1/2))) (.f64 (+.f64 1/2 (fma.f64 x -1/12 (/.f64 1 x))) (neg.f64 x)))
(+.f64 (.f64 (-.f64 (.f64 (.f64 x x) (fma.f64 x -1/3 -1/2)) x) 1/2) (.f64 (-.f64 (.f64 (.f64 x x) (fma.f64 x -1/3 -1/2)) x) (fma.f64 x -1/12 (/.f64 1 x))))
(+.f64 (.f64 (-.f64 (.f64 (.f64 x x) (fma.f64 x -1/3 -1/2)) x) (fma.f64 x -1/12 (/.f64 1 x))) (.f64 (-.f64 (.f64 (.f64 x x) (fma.f64 x -1/3 -1/2)) x) 1/2))
(+.f64 (.f64 (-.f64 (.f64 (.f64 x x) (fma.f64 x -1/3 -1/2)) x) (fma.f64 x -1/12 1/2)) (.f64 (-.f64 (.f64 (.f64 x x) (fma.f64 x -1/3 -1/2)) x) (/.f64 1 x)))
(+.f64 (.f64 (.f64 (.f64 x x) (fma.f64 x -1/3 -1/2)) (+.f64 1/2 (fma.f64 x -1/12 (/.f64 1 x)))) (.f64 (neg.f64 x) (+.f64 1/2 (fma.f64 x -1/12 (/.f64 1 x)))))
(+.f64 (.f64 1/2 (-.f64 (.f64 (.f64 x x) (fma.f64 x -1/3 -1/2)) x)) (.f64 (fma.f64 x -1/12 (/.f64 1 x)) (-.f64 (.f64 (.f64 x x) (fma.f64 x -1/3 -1/2)) x)))
(+.f64 (.f64 (fma.f64 x -1/12 (/.f64 1 x)) (-.f64 (.f64 (.f64 x x) (fma.f64 x -1/3 -1/2)) x)) (.f64 1/2 (-.f64 (.f64 (.f64 x x) (fma.f64 x -1/3 -1/2)) x)))
(+.f64 (.f64 (fma.f64 x -1/12 1/2) (-.f64 (.f64 (.f64 x x) (fma.f64 x -1/3 -1/2)) x)) (.f64 (/.f64 1 x) (-.f64 (.f64 (.f64 x x) (fma.f64 x -1/3 -1/2)) x)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (+.f64 1/2 (fma.f64 x -1/12 (/.f64 1 x))) (-.f64 (.f64 (*.f64 x x) (fma.f64 x -1/3 -1/2)) x)))) 1)
(/.f64 (.f64 (+.f64 1/8 (pow.f64 (fma.f64 x -1/12 (/.f64 1 x)) 3)) (-.f64 (pow.f64 (.f64 (.f64 x x) (fma.f64 x -1/3 -1/2)) 3) (pow.f64 x 3))) (.f64 (fma.f64 (fma.f64 x -1/12 (/.f64 1 x)) (-.f64 (fma.f64 x -1/12 (/.f64 1 x)) 1/2) 1/4) (fma.f64 x (fma.f64 (.f64 x x) (fma.f64 x -1/3 -1/2) x) (.f64 (pow.f64 (fma.f64 x -1/3 -1/2) 2) (pow.f64 x 4)))))
(/.f64 (.f64 (+.f64 1/8 (pow.f64 (fma.f64 x -1/12 (/.f64 1 x)) 3)) (fma.f64 (pow.f64 (fma.f64 x -1/3 -1/2) 2) (pow.f64 x 4) (neg.f64 (.f64 x x)))) (.f64 (fma.f64 (fma.f64 x -1/12 (/.f64 1 x)) (-.f64 (fma.f64 x -1/12 (/.f64 1 x)) 1/2) 1/4) (fma.f64 (.f64 x x) (fma.f64 x -1/3 -1/2) x)))
(/.f64 (.f64 (-.f64 1/4 (pow.f64 (fma.f64 x -1/12 (/.f64 1 x)) 2)) (-.f64 (pow.f64 (.f64 (.f64 x x) (fma.f64 x -1/3 -1/2)) 3) (pow.f64 x 3))) (.f64 (-.f64 1/2 (fma.f64 x -1/12 (/.f64 1 x))) (fma.f64 x (fma.f64 (.f64 x x) (fma.f64 x -1/3 -1/2) x) (.f64 (pow.f64 (fma.f64 x -1/3 -1/2) 2) (pow.f64 x 4)))))
(/.f64 (.f64 (-.f64 1/4 (pow.f64 (fma.f64 x -1/12 (/.f64 1 x)) 2)) (fma.f64 (pow.f64 (fma.f64 x -1/3 -1/2) 2) (pow.f64 x 4) (neg.f64 (.f64 x x)))) (.f64 (-.f64 1/2 (fma.f64 x -1/12 (/.f64 1 x))) (fma.f64 (.f64 x x) (fma.f64 x -1/3 -1/2) x)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 x x) (fma.f64 x -1/3 -1/2)) 3) (pow.f64 x 3)) (+.f64 1/8 (pow.f64 (fma.f64 x -1/12 (/.f64 1 x)) 3))) (.f64 (fma.f64 x (fma.f64 (.f64 x x) (fma.f64 x -1/3 -1/2) x) (.f64 (pow.f64 (fma.f64 x -1/3 -1/2) 2) (pow.f64 x 4))) (fma.f64 (fma.f64 x -1/12 (/.f64 1 x)) (-.f64 (fma.f64 x -1/12 (/.f64 1 x)) 1/2) 1/4)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 x x) (fma.f64 x -1/3 -1/2)) 3) (pow.f64 x 3)) (-.f64 1/4 (pow.f64 (fma.f64 x -1/12 (/.f64 1 x)) 2))) (.f64 (fma.f64 x (fma.f64 (.f64 x x) (fma.f64 x -1/3 -1/2) x) (.f64 (pow.f64 (fma.f64 x -1/3 -1/2) 2) (pow.f64 x 4))) (-.f64 1/2 (fma.f64 x -1/12 (/.f64 1 x)))))
(/.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 x -1/3 -1/2) 2) (pow.f64 x 4) (neg.f64 (.f64 x x))) (+.f64 1/8 (pow.f64 (fma.f64 x -1/12 (/.f64 1 x)) 3))) (.f64 (fma.f64 (.f64 x x) (fma.f64 x -1/3 -1/2) x) (fma.f64 (fma.f64 x -1/12 (/.f64 1 x)) (-.f64 (fma.f64 x -1/12 (/.f64 1 x)) 1/2) 1/4)))
(/.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 x -1/3 -1/2) 2) (pow.f64 x 4) (neg.f64 (.f64 x x))) (-.f64 1/4 (pow.f64 (fma.f64 x -1/12 (/.f64 1 x)) 2))) (.f64 (fma.f64 (.f64 x x) (fma.f64 x -1/3 -1/2) x) (-.f64 1/2 (fma.f64 x -1/12 (/.f64 1 x)))))
(/.f64 (.f64 (+.f64 1/2 (fma.f64 x -1/12 (/.f64 1 x))) (-.f64 (pow.f64 (.f64 (.f64 x x) (fma.f64 x -1/3 -1/2)) 3) (pow.f64 x 3))) (fma.f64 x (fma.f64 (.f64 x x) (fma.f64 x -1/3 -1/2) x) (*.f64 (pow.f64 (fma.f64 x -1/3 -1/2) 2) (pow.f64 x 4))))
(/.f64 (.f64 (+.f64 1/2 (fma.f64 x -1/12 (/.f64 1 x))) (fma.f64 (pow.f64 (fma.f64 x -1/3 -1/2) 2) (pow.f64 x 4) (neg.f64 (.f64 x x)))) (fma.f64 (*.f64 x x) (fma.f64 x -1/3 -1/2) x))
(/.f64 (.f64 (-.f64 (.f64 (*.f64 x x) (fma.f64 x -1/3 -1/2)) x) (+.f64 1/8 (pow.f64 (fma.f64 x -1/12 (/.f64 1 x)) 3))) (fma.f64 (fma.f64 x -1/12 (/.f64 1 x)) (-.f64 (fma.f64 x -1/12 (/.f64 1 x)) 1/2) 1/4))
(/.f64 (.f64 (-.f64 (.f64 (*.f64 x x) (fma.f64 x -1/3 -1/2)) x) (-.f64 1/4 (pow.f64 (fma.f64 x -1/12 (/.f64 1 x)) 2))) (-.f64 1/2 (fma.f64 x -1/12 (/.f64 1 x))))
(/.f64 (.f64 (+.f64 1/8 (pow.f64 (fma.f64 x -1/12 (/.f64 1 x)) 3)) (-.f64 (.f64 (*.f64 x x) (fma.f64 x -1/3 -1/2)) x)) (fma.f64 (fma.f64 x -1/12 (/.f64 1 x)) (-.f64 (fma.f64 x -1/12 (/.f64 1 x)) 1/2) 1/4))
(/.f64 (.f64 (-.f64 1/4 (pow.f64 (fma.f64 x -1/12 (/.f64 1 x)) 2)) (-.f64 (.f64 (*.f64 x x) (fma.f64 x -1/3 -1/2)) x)) (-.f64 1/2 (fma.f64 x -1/12 (/.f64 1 x))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 x x) (fma.f64 x -1/3 -1/2)) 3) (pow.f64 x 3)) (+.f64 1/2 (fma.f64 x -1/12 (/.f64 1 x)))) (fma.f64 x (fma.f64 (.f64 x x) (fma.f64 x -1/3 -1/2) x) (*.f64 (pow.f64 (fma.f64 x -1/3 -1/2) 2) (pow.f64 x 4))))
(/.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 x -1/3 -1/2) 2) (pow.f64 x 4) (neg.f64 (.f64 x x))) (+.f64 1/2 (fma.f64 x -1/12 (/.f64 1 x)))) (fma.f64 (*.f64 x x) (fma.f64 x -1/3 -1/2) x))
(pow.f64 (.f64 (+.f64 1/2 (fma.f64 x -1/12 (/.f64 1 x))) (-.f64 (.f64 (*.f64 x x) (fma.f64 x -1/3 -1/2)) x)) 1)
(pow.f64 (cbrt.f64 (.f64 (+.f64 1/2 (fma.f64 x -1/12 (/.f64 1 x))) (-.f64 (.f64 (*.f64 x x) (fma.f64 x -1/3 -1/2)) x))) 3)
(pow.f64 (pow.f64 (.f64 (+.f64 1/2 (fma.f64 x -1/12 (/.f64 1 x))) (-.f64 (.f64 (*.f64 x x) (fma.f64 x -1/3 -1/2)) x)) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 (+.f64 1/2 (fma.f64 x -1/12 (/.f64 1 x))) (-.f64 (.f64 (*.f64 x x) (fma.f64 x -1/3 -1/2)) x))) 2)
(sqrt.f64 (pow.f64 (.f64 (+.f64 1/2 (fma.f64 x -1/12 (/.f64 1 x))) (-.f64 (.f64 (*.f64 x x) (fma.f64 x -1/3 -1/2)) x)) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 1/2 (fma.f64 x -1/12 (/.f64 1 x)))) (-.f64 (.f64 (.f64 x x) (fma.f64 x -1/3 -1/2)) x)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (+.f64 1/2 (fma.f64 x -1/12 (/.f64 1 x))) (-.f64 (.f64 (*.f64 x x) (fma.f64 x -1/3 -1/2)) x)))))
(cbrt.f64 (pow.f64 (.f64 (+.f64 1/2 (fma.f64 x -1/12 (/.f64 1 x))) (-.f64 (.f64 (*.f64 x x) (fma.f64 x -1/3 -1/2)) x)) 3))
(cbrt.f64 (.f64 (pow.f64 (+.f64 1/2 (fma.f64 x -1/12 (/.f64 1 x))) 3) (pow.f64 (-.f64 (.f64 (*.f64 x x) (fma.f64 x -1/3 -1/2)) x) 3)))
(cbrt.f64 (.f64 (pow.f64 (-.f64 (.f64 (*.f64 x x) (fma.f64 x -1/3 -1/2)) x) 3) (pow.f64 (+.f64 1/2 (fma.f64 x -1/12 (/.f64 1 x))) 3)))
(expm1.f64 (log1p.f64 (.f64 (+.f64 1/2 (fma.f64 x -1/12 (/.f64 1 x))) (-.f64 (.f64 (*.f64 x x) (fma.f64 x -1/3 -1/2)) x))))
(exp.f64 (log.f64 (.f64 (+.f64 1/2 (fma.f64 x -1/12 (/.f64 1 x))) (-.f64 (.f64 (*.f64 x x) (fma.f64 x -1/3 -1/2)) x))))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 1/2 (fma.f64 x -1/12 (/.f64 1 x))) (-.f64 (.f64 (.f64 x x) (fma.f64 x -1/3 -1/2)) x))) 1))
(log1p.f64 (expm1.f64 (.f64 (+.f64 1/2 (fma.f64 x -1/12 (/.f64 1 x))) (-.f64 (.f64 (*.f64 x x) (fma.f64 x -1/3 -1/2)) x))))
(fma.f64 1/2 (-.f64 (.f64 (.f64 x x) (fma.f64 x -1/3 -1/2)) x) (.f64 (fma.f64 x -1/12 (/.f64 1 x)) (-.f64 (.f64 (*.f64 x x) (fma.f64 x -1/3 -1/2)) x)))
(fma.f64 (fma.f64 x -1/12 (/.f64 1 x)) (-.f64 (.f64 (.f64 x x) (fma.f64 x -1/3 -1/2)) x) (.f64 1/2 (-.f64 (.f64 (*.f64 x x) (fma.f64 x -1/3 -1/2)) x)))
(fma.f64 (+.f64 1/2 (fma.f64 x -1/12 (/.f64 1 x))) (.f64 (.f64 x x) (fma.f64 x -1/3 -1/2)) (*.f64 (+.f64 1/2 (fma.f64 x -1/12 (/.f64 1 x))) (neg.f64 x)))
(fma.f64 (.f64 (.f64 x x) (fma.f64 x -1/3 -1/2)) (+.f64 1/2 (fma.f64 x -1/12 (/.f64 1 x))) (*.f64 (neg.f64 x) (+.f64 1/2 (fma.f64 x -1/12 (/.f64 1 x)))))
(fma.f64 (-.f64 (.f64 (.f64 x x) (fma.f64 x -1/3 -1/2)) x) 1/2 (.f64 (-.f64 (.f64 (*.f64 x x) (fma.f64 x -1/3 -1/2)) x) (fma.f64 x -1/12 (/.f64 1 x))))
(fma.f64 (-.f64 (.f64 (.f64 x x) (fma.f64 x -1/3 -1/2)) x) (fma.f64 x -1/12 (/.f64 1 x)) (.f64 (-.f64 (.f64 (*.f64 x x) (fma.f64 x -1/3 -1/2)) x) 1/2))
(fma.f64 (-.f64 (.f64 (.f64 x x) (fma.f64 x -1/3 -1/2)) x) (fma.f64 x -1/12 1/2) (.f64 (-.f64 (.f64 (*.f64 x x) (fma.f64 x -1/3 -1/2)) x) (/.f64 1 x)))
(fma.f64 (fma.f64 x -1/12 1/2) (-.f64 (.f64 (.f64 x x) (fma.f64 x -1/3 -1/2)) x) (.f64 (/.f64 1 x) (-.f64 (.f64 (*.f64 x x) (fma.f64 x -1/3 -1/2)) x)))
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (.f64 x (*.f64 x -1/2)))
(+.f64 (.f64 x (.f64 x -1/2)) (*.f64 -1/3 (pow.f64 x 3)))
(+.f64 (.f64 (.f64 x (.f64 x -1/2)) 1) (.f64 (*.f64 -1/3 (pow.f64 x 3)) 1))
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 x x) (fma.f64 x -1/3 -1/2)))) 1)
(/.f64 (+.f64 (pow.f64 (.f64 x (.f64 x -1/2)) 3) (pow.f64 (.f64 -1/3 (pow.f64 x 3)) 3)) (fma.f64 (.f64 x (.f64 x -1/2)) (.f64 x (.f64 x -1/2)) (-.f64 (.f64 (.f64 -1/3 (pow.f64 x 3)) (.f64 -1/3 (pow.f64 x 3))) (.f64 (.f64 x (.f64 x -1/2)) (.f64 -1/3 (pow.f64 x 3))))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x -1/2)) (.f64 x (.f64 x -1/2))) (.f64 (.f64 -1/3 (pow.f64 x 3)) (.f64 -1/3 (pow.f64 x 3)))) (-.f64 (.f64 x (.f64 x -1/2)) (*.f64 -1/3 (pow.f64 x 3))))
(/.f64 (.f64 (.f64 x x) (fma.f64 -1/27 (pow.f64 x 3) -1/8)) (fma.f64 (*.f64 x -1/3) (fma.f64 x -1/3 1/2) 1/4))
(/.f64 (.f64 (.f64 x x) (-.f64 1/4 (.f64 (.f64 x x) 1/9))) (+.f64 -1/2 (*.f64 1/3 x)))
(/.f64 (.f64 (fma.f64 -1/27 (pow.f64 x 3) -1/8) (.f64 x x)) (fma.f64 (*.f64 x -1/3) (fma.f64 x -1/3 1/2) 1/4))
(/.f64 (.f64 (-.f64 1/4 (.f64 (.f64 x x) 1/9)) (.f64 x x)) (+.f64 -1/2 (*.f64 1/3 x)))
(pow.f64 (.f64 (.f64 x x) (fma.f64 x -1/3 -1/2)) 1)
(pow.f64 (cbrt.f64 (.f64 (.f64 x x) (fma.f64 x -1/3 -1/2))) 3)
(pow.f64 (pow.f64 (.f64 (.f64 x x) (fma.f64 x -1/3 -1/2)) 3) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -1/3 -1/2))) 2)
(sqrt.f64 (*.f64 (pow.f64 (fma.f64 x -1/3 -1/2) 2) (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 (*.f64 x x)) (fma.f64 x -1/3 -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 x x) (fma.f64 x -1/3 -1/2)))))
(cbrt.f64 (pow.f64 (.f64 (.f64 x x) (fma.f64 x -1/3 -1/2)) 3))
(expm1.f64 (log1p.f64 (.f64 (.f64 x x) (fma.f64 x -1/3 -1/2))))
(exp.f64 (log.f64 (.f64 (.f64 x x) (fma.f64 x -1/3 -1/2))))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 x x) (fma.f64 x -1/3 -1/2))) 1))
(log1p.f64 (expm1.f64 (.f64 (.f64 x x) (fma.f64 x -1/3 -1/2))))
(fma.f64 x (.f64 x (.f64 x -1/3)) (.f64 x (.f64 x -1/2)))
(fma.f64 x (.f64 x -1/2) (.f64 -1/3 (pow.f64 x 3)))
(fma.f64 x (.f64 -1/3 (.f64 x x)) (.f64 x (.f64 x -1/2)))
(fma.f64 -1/3 (pow.f64 x 3) (.f64 x (.f64 x -1/2)))
(fma.f64 (.f64 x -1/3) (.f64 x x) (.f64 x (.f64 x -1/2)))
(fma.f64 1 (.f64 -1/3 (pow.f64 x 3)) (.f64 x (*.f64 x -1/2)))
(fma.f64 1 (.f64 x (.f64 x -1/2)) (*.f64 -1/3 (pow.f64 x 3)))
(fma.f64 (.f64 x x) (.f64 x -1/3) (.f64 x (.f64 x -1/2)))
(fma.f64 (.f64 x x) -1/2 (.f64 -1/3 (pow.f64 x 3)))
(fma.f64 -1/2 (.f64 x x) (.f64 -1/3 (pow.f64 x 3)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x -1/3)) 2) (.f64 (cbrt.f64 (.f64 x -1/3)) (.f64 x x)) (.f64 x (.f64 x -1/2)))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 x -1/3)) (.f64 x (.f64 x -1/2)))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (.f64 (pow.f64 (cbrt.f64 x) 2) -1/2) (.f64 -1/3 (pow.f64 x 3)))
(fma.f64 (sqrt.f64 (.f64 x -1/3)) (.f64 (sqrt.f64 (.f64 x -1/3)) (.f64 x x)) (.f64 x (.f64 x -1/2)))
(fma.f64 (pow.f64 x 3) -1/3 (.f64 x (.f64 x -1/2)))
(fma.f64 (.f64 x (.f64 x -1/2)) 1 (.f64 (.f64 -1/3 (pow.f64 x 3)) 1))
(fma.f64 (.f64 (cbrt.f64 (.f64 -1/3 (pow.f64 x 3))) (cbrt.f64 (.f64 -1/3 (pow.f64 x 3)))) (cbrt.f64 (.f64 -1/3 (pow.f64 x 3))) (.f64 x (.f64 x -1/2)))
(fma.f64 (.f64 (cbrt.f64 (.f64 x (.f64 x -1/2))) (cbrt.f64 (.f64 x (.f64 x -1/2)))) (cbrt.f64 (.f64 x (.f64 x -1/2))) (.f64 -1/3 (pow.f64 x 3)))
(fma.f64 (sqrt.f64 (.f64 -1/3 (pow.f64 x 3))) (sqrt.f64 (.f64 -1/3 (pow.f64 x 3))) (.f64 x (.f64 x -1/2)))
(fma.f64 (sqrt.f64 (.f64 x (.f64 x -1/2))) (sqrt.f64 (.f64 x (.f64 x -1/2))) (*.f64 -1/3 (pow.f64 x 3)))
(fma.f64 (.f64 x (sqrt.f64 (.f64 x -1/3))) (.f64 x (sqrt.f64 (.f64 x -1/3))) (.f64 x (.f64 x -1/2)))
(fma.f64 (.f64 (sqrt.f64 (.f64 x -1/3)) x) (.f64 (sqrt.f64 (.f64 x -1/3)) x) (.f64 x (.f64 x -1/2)))
(fma.f64 (.f64 (.f64 x -1/3) x) x (.f64 x (.f64 x -1/2)))
(fma.f64 (.f64 -1/2 x) x (.f64 -1/3 (pow.f64 x 3)))
(fma.f64 (.f64 (.f64 x x) -1/3) x (.f64 x (.f64 x -1/2)))
(fma.f64 (.f64 (.f64 x x) (pow.f64 (cbrt.f64 (.f64 x -1/3)) 2)) (cbrt.f64 (.f64 x -1/3)) (.f64 x (.f64 x -1/2)))
(fma.f64 (.f64 (.f64 x x) (sqrt.f64 (.f64 x -1/3))) (sqrt.f64 (.f64 x -1/3)) (.f64 x (.f64 x -1/2)))
(fma.f64 (.f64 -1/2 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2) (.f64 -1/3 (pow.f64 x 3)))
(fma.f64 (.f64 (.f64 x -1/3) (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2) (.f64 x (.f64 x -1/2)))

Outputs
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
(*.f64 -1/3 x)
-1
(-.f64 (*.f64 -1 x) 1)
(fma.f64 -1 x -1)
(fma.f64 x -1 -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) (fma.f64 x -1 -1))
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(-.f64 (+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))) 1)
(+.f64 (fma.f64 -1/8 (pow.f64 x 3) (fma.f64 -1/2 (*.f64 x x) (neg.f64 x))) -1)
(fma.f64 -1/8 (pow.f64 x 3) (fma.f64 x (*.f64 x -1/2) (fma.f64 x -1 -1)))
(fma.f64 -1/8 (pow.f64 x 3) (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)))
(*.f64 1/36 (pow.f64 x 4))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (.f64 1/36 (pow.f64 x 4)))
(fma.f64 -1/8 (pow.f64 x 3) (*.f64 1/36 (pow.f64 x 4)))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 1/36 (pow.f64 x 4)) (*.f64 -1/2 (pow.f64 x 2))))
(fma.f64 -1/8 (pow.f64 x 3) (fma.f64 1/36 (pow.f64 x 4) (.f64 x (.f64 x -1/2))))
(fma.f64 -1/8 (pow.f64 x 3) (fma.f64 x (.f64 x -1/2) (.f64 1/36 (pow.f64 x 4))))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 1/36 (pow.f64 x 4)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x))))
(fma.f64 -1/8 (pow.f64 x 3) (fma.f64 1/36 (pow.f64 x 4) (fma.f64 -1/2 (*.f64 x x) (neg.f64 x))))
(fma.f64 -1/8 (pow.f64 x 3) (-.f64 (fma.f64 x (.f64 x -1/2) (.f64 1/36 (pow.f64 x 4))) x))
(-.f64 (fma.f64 -1/8 (pow.f64 x 3) (fma.f64 x (.f64 x -1/2) (.f64 1/36 (pow.f64 x 4)))) x)
(*.f64 1/36 (pow.f64 x 4))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (.f64 1/36 (pow.f64 x 4)))
(fma.f64 -1/8 (pow.f64 x 3) (*.f64 1/36 (pow.f64 x 4)))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 1/36 (pow.f64 x 4)) (*.f64 -1/2 (pow.f64 x 2))))
(fma.f64 -1/8 (pow.f64 x 3) (fma.f64 1/36 (pow.f64 x 4) (.f64 x (.f64 x -1/2))))
(fma.f64 -1/8 (pow.f64 x 3) (fma.f64 x (.f64 x -1/2) (.f64 1/36 (pow.f64 x 4))))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 1/36 (pow.f64 x 4)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x))))
(fma.f64 -1/8 (pow.f64 x 3) (fma.f64 1/36 (pow.f64 x 4) (fma.f64 -1/2 (*.f64 x x) (neg.f64 x))))
(fma.f64 -1/8 (pow.f64 x 3) (-.f64 (fma.f64 x (.f64 x -1/2) (.f64 1/36 (pow.f64 x 4))) x))
(-.f64 (fma.f64 -1/8 (pow.f64 x 3) (fma.f64 x (.f64 x -1/2) (.f64 1/36 (pow.f64 x 4)))) x)
(*.f64 -1/2 (pow.f64 x 2))
(.f64 x (.f64 x -1/2))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1/3 (pow.f64 x 3)))
(fma.f64 -1/3 (pow.f64 x 3) (.f64 x (.f64 x -1/2)))
(.f64 x (.f64 x (fma.f64 -1/3 x -1/2)))
(.f64 (.f64 x x) (fma.f64 -1/3 x -1/2))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1/3 (pow.f64 x 3)))
(fma.f64 -1/3 (pow.f64 x 3) (.f64 x (.f64 x -1/2)))
(.f64 x (.f64 x (fma.f64 -1/3 x -1/2)))
(.f64 (.f64 x x) (fma.f64 -1/3 x -1/2))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1/3 (pow.f64 x 3)))
(fma.f64 -1/3 (pow.f64 x 3) (.f64 x (.f64 x -1/2)))
(.f64 x (.f64 x (fma.f64 -1/3 x -1/2)))
(.f64 (.f64 x x) (fma.f64 -1/3 x -1/2))
(*.f64 -1/3 (pow.f64 x 3))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1/3 (pow.f64 x 3)))
(fma.f64 -1/3 (pow.f64 x 3) (.f64 x (.f64 x -1/2)))
(.f64 x (.f64 x (fma.f64 -1/3 x -1/2)))
(.f64 (.f64 x x) (fma.f64 -1/3 x -1/2))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1/3 (pow.f64 x 3)))
(fma.f64 -1/3 (pow.f64 x 3) (.f64 x (.f64 x -1/2)))
(.f64 x (.f64 x (fma.f64 -1/3 x -1/2)))
(.f64 (.f64 x x) (fma.f64 -1/3 x -1/2))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1/3 (pow.f64 x 3)))
(fma.f64 -1/3 (pow.f64 x 3) (.f64 x (.f64 x -1/2)))
(.f64 x (.f64 x (fma.f64 -1/3 x -1/2)))
(.f64 (.f64 x x) (fma.f64 -1/3 x -1/2))
(*.f64 -1/3 (pow.f64 x 3))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1/3 (pow.f64 x 3)))
(fma.f64 -1/3 (pow.f64 x 3) (.f64 x (.f64 x -1/2)))
(.f64 x (.f64 x (fma.f64 -1/3 x -1/2)))
(.f64 (.f64 x x) (fma.f64 -1/3 x -1/2))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1/3 (pow.f64 x 3)))
(fma.f64 -1/3 (pow.f64 x 3) (.f64 x (.f64 x -1/2)))
(.f64 x (.f64 x (fma.f64 -1/3 x -1/2)))
(.f64 (.f64 x x) (fma.f64 -1/3 x -1/2))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1/3 (pow.f64 x 3)))
(fma.f64 -1/3 (pow.f64 x 3) (.f64 x (.f64 x -1/2)))
(.f64 x (.f64 x (fma.f64 -1/3 x -1/2)))
(.f64 (.f64 x x) (fma.f64 -1/3 x -1/2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x -1/3))) 1)
(*.f64 -1/3 x)
(pow.f64 (*.f64 x -1/3) 1)
(*.f64 -1/3 x)
(pow.f64 (cbrt.f64 (*.f64 x -1/3)) 3)
(*.f64 -1/3 x)
(pow.f64 (*.f64 -1/27 (pow.f64 x 3)) 1/3)
(cbrt.f64 (*.f64 (pow.f64 x 3) -1/27))
(pow.f64 (sqrt.f64 (*.f64 x -1/3)) 2)
(*.f64 -1/3 x)
(sqrt.f64 (.f64 (.f64 x x) 1/9))
(sqrt.f64 (.f64 x (.f64 x 1/9)))
(log.f64 (pow.f64 (exp.f64 -1/3) x))
(*.f64 -1/3 x)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x -1/3))))
(*.f64 -1/3 x)
(cbrt.f64 (*.f64 -1/27 (pow.f64 x 3)))
(cbrt.f64 (*.f64 (pow.f64 x 3) -1/27))
(expm1.f64 (log1p.f64 (*.f64 x -1/3)))
(*.f64 -1/3 x)
(exp.f64 (log.f64 (*.f64 x -1/3)))
(*.f64 -1/3 x)
(exp.f64 (.f64 (log.f64 (.f64 x -1/3)) 1))
(*.f64 -1/3 x)
(log1p.f64 (expm1.f64 (*.f64 x -1/3)))
(*.f64 -1/3 x)
(+.f64 (.f64 (+.f64 1/2 (fma.f64 x -1/12 (/.f64 1 x))) (.f64 (.f64 x x) (fma.f64 x -1/3 -1/2))) (.f64 (+.f64 1/2 (fma.f64 x -1/12 (/.f64 1 x))) (neg.f64 x)))
(.f64 (+.f64 1/2 (fma.f64 x -1/12 (/.f64 1 x))) (-.f64 (.f64 x (*.f64 x (fma.f64 x -1/3 -1/2))) x))
(.f64 (+.f64 1/2 (fma.f64 x -1/12 (/.f64 1 x))) (fma.f64 x (.f64 x (fma.f64 -1/3 x -1/2)) (neg.f64 x)))
(.f64 (+.f64 (/.f64 1 x) (fma.f64 x -1/12 1/2)) (-.f64 (.f64 (*.f64 x x) (fma.f64 -1/3 x -1/2)) x))
(+.f64 (.f64 (-.f64 (.f64 (.f64 x x) (fma.f64 x -1/3 -1/2)) x) 1/2) (.f64 (-.f64 (.f64 (.f64 x x) (fma.f64 x -1/3 -1/2)) x) (fma.f64 x -1/12 (/.f64 1 x))))
(.f64 (+.f64 1/2 (fma.f64 x -1/12 (/.f64 1 x))) (-.f64 (.f64 x (*.f64 x (fma.f64 x -1/3 -1/2))) x))
(.f64 (+.f64 1/2 (fma.f64 x -1/12 (/.f64 1 x))) (fma.f64 x (.f64 x (fma.f64 -1/3 x -1/2)) (neg.f64 x)))
(.f64 (+.f64 (/.f64 1 x) (fma.f64 x -1/12 1/2)) (-.f64 (.f64 (*.f64 x x) (fma.f64 -1/3 x -1/2)) x))
(+.f64 (.f64 (-.f64 (.f64 (.f64 x x) (fma.f64 x -1/3 -1/2)) x) (fma.f64 x -1/12 (/.f64 1 x))) (.f64 (-.f64 (.f64 (.f64 x x) (fma.f64 x -1/3 -1/2)) x) 1/2))
(.f64 (+.f64 1/2 (fma.f64 x -1/12 (/.f64 1 x))) (-.f64 (.f64 x (*.f64 x (fma.f64 x -1/3 -1/2))) x))
(.f64 (+.f64 1/2 (fma.f64 x -1/12 (/.f64 1 x))) (fma.f64 x (.f64 x (fma.f64 -1/3 x -1/2)) (neg.f64 x)))
(.f64 (+.f64 (/.f64 1 x) (fma.f64 x -1/12 1/2)) (-.f64 (.f64 (*.f64 x x) (fma.f64 -1/3 x -1/2)) x))
(+.f64 (.f64 (-.f64 (.f64 (.f64 x x) (fma.f64 x -1/3 -1/2)) x) (fma.f64 x -1/12 1/2)) (.f64 (-.f64 (.f64 (.f64 x x) (fma.f64 x -1/3 -1/2)) x) (/.f64 1 x)))
(.f64 (+.f64 1/2 (fma.f64 x -1/12 (/.f64 1 x))) (-.f64 (.f64 x (*.f64 x (fma.f64 x -1/3 -1/2))) x))
(.f64 (+.f64 1/2 (fma.f64 x -1/12 (/.f64 1 x))) (fma.f64 x (.f64 x (fma.f64 -1/3 x -1/2)) (neg.f64 x)))
(.f64 (+.f64 (/.f64 1 x) (fma.f64 x -1/12 1/2)) (-.f64 (.f64 (*.f64 x x) (fma.f64 -1/3 x -1/2)) x))
(+.f64 (.f64 (.f64 (.f64 x x) (fma.f64 x -1/3 -1/2)) (+.f64 1/2 (fma.f64 x -1/12 (/.f64 1 x)))) (.f64 (neg.f64 x) (+.f64 1/2 (fma.f64 x -1/12 (/.f64 1 x)))))
(.f64 (+.f64 1/2 (fma.f64 x -1/12 (/.f64 1 x))) (-.f64 (.f64 x (*.f64 x (fma.f64 x -1/3 -1/2))) x))
(.f64 (+.f64 1/2 (fma.f64 x -1/12 (/.f64 1 x))) (fma.f64 x (.f64 x (fma.f64 -1/3 x -1/2)) (neg.f64 x)))
(.f64 (+.f64 (/.f64 1 x) (fma.f64 x -1/12 1/2)) (-.f64 (.f64 (*.f64 x x) (fma.f64 -1/3 x -1/2)) x))
(+.f64 (.f64 1/2 (-.f64 (.f64 (.f64 x x) (fma.f64 x -1/3 -1/2)) x)) (.f64 (fma.f64 x -1/12 (/.f64 1 x)) (-.f64 (.f64 (.f64 x x) (fma.f64 x -1/3 -1/2)) x)))
(.f64 (+.f64 1/2 (fma.f64 x -1/12 (/.f64 1 x))) (-.f64 (.f64 x (*.f64 x (fma.f64 x -1/3 -1/2))) x))
(.f64 (+.f64 1/2 (fma.f64 x -1/12 (/.f64 1 x))) (fma.f64 x (.f64 x (fma.f64 -1/3 x -1/2)) (neg.f64 x)))
(.f64 (+.f64 (/.f64 1 x) (fma.f64 x -1/12 1/2)) (-.f64 (.f64 (*.f64 x x) (fma.f64 -1/3 x -1/2)) x))
(+.f64 (.f64 (fma.f64 x -1/12 (/.f64 1 x)) (-.f64 (.f64 (.f64 x x) (fma.f64 x -1/3 -1/2)) x)) (.f64 1/2 (-.f64 (.f64 (.f64 x x) (fma.f64 x -1/3 -1/2)) x)))
(.f64 (+.f64 1/2 (fma.f64 x -1/12 (/.f64 1 x))) (-.f64 (.f64 x (*.f64 x (fma.f64 x -1/3 -1/2))) x))
(.f64 (+.f64 1/2 (fma.f64 x -1/12 (/.f64 1 x))) (fma.f64 x (.f64 x (fma.f64 -1/3 x -1/2)) (neg.f64 x)))
(.f64 (+.f64 (/.f64 1 x) (fma.f64 x -1/12 1/2)) (-.f64 (.f64 (*.f64 x x) (fma.f64 -1/3 x -1/2)) x))
(+.f64 (.f64 (fma.f64 x -1/12 1/2) (-.f64 (.f64 (.f64 x x) (fma.f64 x -1/3 -1/2)) x)) (.f64 (/.f64 1 x) (-.f64 (.f64 (.f64 x x) (fma.f64 x -1/3 -1/2)) x)))
(.f64 (+.f64 1/2 (fma.f64 x -1/12 (/.f64 1 x))) (-.f64 (.f64 x (*.f64 x (fma.f64 x -1/3 -1/2))) x))
(.f64 (+.f64 1/2 (fma.f64 x -1/12 (/.f64 1 x))) (fma.f64 x (.f64 x (fma.f64 -1/3 x -1/2)) (neg.f64 x)))
(.f64 (+.f64 (/.f64 1 x) (fma.f64 x -1/12 1/2)) (-.f64 (.f64 (*.f64 x x) (fma.f64 -1/3 x -1/2)) x))
(-.f64 (exp.f64 (log1p.f64 (.f64 (+.f64 1/2 (fma.f64 x -1/12 (/.f64 1 x))) (-.f64 (.f64 (*.f64 x x) (fma.f64 x -1/3 -1/2)) x)))) 1)
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(.f64 (.f64 x x) (fma.f64 -1/3 x -1/2))
(+.f64 (.f64 x (.f64 x -1/2)) (*.f64 -1/3 (pow.f64 x 3)))
(fma.f64 -1/3 (pow.f64 x 3) (.f64 x (.f64 x -1/2)))
(.f64 x (.f64 x (fma.f64 -1/3 x -1/2)))
(.f64 (.f64 x x) (fma.f64 -1/3 x -1/2))
(+.f64 (.f64 (.f64 x (.f64 x -1/2)) 1) (.f64 (*.f64 -1/3 (pow.f64 x 3)) 1))
(fma.f64 -1/3 (pow.f64 x 3) (.f64 x (.f64 x -1/2)))
(.f64 x (.f64 x (fma.f64 -1/3 x -1/2)))
(.f64 (.f64 x x) (fma.f64 -1/3 x -1/2))
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 x x) (fma.f64 x -1/3 -1/2)))) 1)
(fma.f64 -1/3 (pow.f64 x 3) (.f64 x (.f64 x -1/2)))
(.f64 x (.f64 x (fma.f64 -1/3 x -1/2)))
(.f64 (.f64 x x) (fma.f64 -1/3 x -1/2))
(/.f64 (+.f64 (pow.f64 (.f64 x (.f64 x -1/2)) 3) (pow.f64 (.f64 -1/3 (pow.f64 x 3)) 3)) (fma.f64 (.f64 x (.f64 x -1/2)) (.f64 x (.f64 x -1/2)) (-.f64 (.f64 (.f64 -1/3 (pow.f64 x 3)) (.f64 -1/3 (pow.f64 x 3))) (.f64 (.f64 x (.f64 x -1/2)) (.f64 -1/3 (pow.f64 x 3))))))
(/.f64 (+.f64 (pow.f64 (.f64 x (.f64 x -1/2)) 3) (.f64 -1/27 (pow.f64 (pow.f64 x 3) 3))) (fma.f64 (.f64 x (.f64 x -1/2)) (.f64 x (.f64 x -1/2)) (.f64 (.f64 -1/3 (pow.f64 x 3)) (-.f64 (.f64 -1/3 (pow.f64 x 3)) (.f64 x (.f64 x -1/2))))))
(/.f64 (fma.f64 -1/27 (pow.f64 (pow.f64 x 3) 3) (.f64 -1/8 (pow.f64 x 6))) (+.f64 (-.f64 (.f64 1/9 (pow.f64 x 6)) (.f64 (pow.f64 x 3) (.f64 (.f64 x x) 1/6))) (.f64 (pow.f64 x 4) 1/4)))
(/.f64 (fma.f64 -1/27 (pow.f64 (pow.f64 x 3) 3) (.f64 -1/8 (pow.f64 x 6))) (+.f64 (.f64 (pow.f64 x 3) (.f64 -1/3 (.f64 (.f64 x x) (fma.f64 -1/3 x 1/2)))) (.f64 (pow.f64 x 4) 1/4)))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x -1/2)) (.f64 x (.f64 x -1/2))) (.f64 (.f64 -1/3 (pow.f64 x 3)) (.f64 -1/3 (pow.f64 x 3)))) (-.f64 (.f64 x (.f64 x -1/2)) (*.f64 -1/3 (pow.f64 x 3))))
(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x -1/2) (.f64 x -1/2))) (.f64 1/9 (.f64 (pow.f64 x 3) (pow.f64 x 3)))) (+.f64 (.f64 x (.f64 x -1/2)) (.f64 1/3 (pow.f64 x 3))))
(/.f64 (+.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 -1/9 (pow.f64 x 6))) (fma.f64 x (.f64 x -1/2) (.f64 (pow.f64 x 3) 1/3)))
(/.f64 (*.f64 x x) (/.f64 1 (fma.f64 -1/3 x -1/2)))
(/.f64 (.f64 (.f64 x x) (fma.f64 -1/27 (pow.f64 x 3) -1/8)) (fma.f64 (*.f64 x -1/3) (fma.f64 x -1/3 1/2) 1/4))
(/.f64 (fma.f64 -1/27 (pow.f64 x 3) -1/8) (/.f64 (fma.f64 (.f64 -1/3 x) (fma.f64 x -1/3 1/2) 1/4) (.f64 x x)))
(.f64 (/.f64 (fma.f64 (pow.f64 x 3) -1/27 -1/8) (fma.f64 (.f64 -1/3 x) (fma.f64 -1/3 x 1/2) 1/4)) (*.f64 x x))
(/.f64 (.f64 (.f64 x x) (-.f64 1/4 (.f64 (.f64 x x) 1/9))) (+.f64 -1/2 (*.f64 1/3 x)))
(/.f64 (-.f64 1/4 (.f64 x (.f64 x 1/9))) (/.f64 (+.f64 -1/2 (.f64 x 1/3)) (.f64 x x)))
(.f64 (/.f64 (.f64 x x) (fma.f64 x 1/3 -1/2)) (-.f64 1/4 (.f64 x (.f64 x 1/9))))
(.f64 (/.f64 x (/.f64 (fma.f64 x 1/3 -1/2) x)) (+.f64 1/4 (.f64 x (*.f64 x -1/9))))
(/.f64 (.f64 (fma.f64 -1/27 (pow.f64 x 3) -1/8) (.f64 x x)) (fma.f64 (*.f64 x -1/3) (fma.f64 x -1/3 1/2) 1/4))
(/.f64 (fma.f64 -1/27 (pow.f64 x 3) -1/8) (/.f64 (fma.f64 (.f64 -1/3 x) (fma.f64 x -1/3 1/2) 1/4) (.f64 x x)))
(.f64 (/.f64 (fma.f64 (pow.f64 x 3) -1/27 -1/8) (fma.f64 (.f64 -1/3 x) (fma.f64 -1/3 x 1/2) 1/4)) (*.f64 x x))
(/.f64 (.f64 (-.f64 1/4 (.f64 (.f64 x x) 1/9)) (.f64 x x)) (+.f64 -1/2 (*.f64 1/3 x)))
(/.f64 (-.f64 1/4 (.f64 x (.f64 x 1/9))) (/.f64 (+.f64 -1/2 (.f64 x 1/3)) (.f64 x x)))
(.f64 (/.f64 (.f64 x x) (fma.f64 x 1/3 -1/2)) (-.f64 1/4 (.f64 x (.f64 x 1/9))))
(.f64 (/.f64 x (/.f64 (fma.f64 x 1/3 -1/2) x)) (+.f64 1/4 (.f64 x (*.f64 x -1/9))))
(pow.f64 (.f64 (.f64 x x) (fma.f64 x -1/3 -1/2)) 1)
(fma.f64 -1/3 (pow.f64 x 3) (.f64 x (.f64 x -1/2)))
(.f64 x (.f64 x (fma.f64 -1/3 x -1/2)))
(.f64 (.f64 x x) (fma.f64 -1/3 x -1/2))
(pow.f64 (cbrt.f64 (.f64 (.f64 x x) (fma.f64 x -1/3 -1/2))) 3)
(fma.f64 -1/3 (pow.f64 x 3) (.f64 x (.f64 x -1/2)))
(.f64 x (.f64 x (fma.f64 -1/3 x -1/2)))
(.f64 (.f64 x x) (fma.f64 -1/3 x -1/2))
(pow.f64 (pow.f64 (.f64 (.f64 x x) (fma.f64 x -1/3 -1/2)) 3) 1/3)
(fma.f64 -1/3 (pow.f64 x 3) (.f64 x (.f64 x -1/2)))
(.f64 x (.f64 x (fma.f64 -1/3 x -1/2)))
(.f64 (.f64 x x) (fma.f64 -1/3 x -1/2))
(pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -1/3 -1/2))) 2)
(fma.f64 -1/3 (pow.f64 x 3) (.f64 x (.f64 x -1/2)))
(.f64 x (.f64 x (fma.f64 -1/3 x -1/2)))
(.f64 (.f64 x x) (fma.f64 -1/3 x -1/2))
(sqrt.f64 (*.f64 (pow.f64 (fma.f64 x -1/3 -1/2) 2) (pow.f64 x 4)))
(sqrt.f64 (*.f64 (pow.f64 x 4) (pow.f64 (fma.f64 x -1/3 -1/2) 2)))
(sqrt.f64 (*.f64 (pow.f64 x 4) (pow.f64 (fma.f64 -1/3 x -1/2) 2)))
(fabs.f64 (.f64 (.f64 x x) (fma.f64 -1/3 x -1/2)))
(log.f64 (pow.f64 (exp.f64 (*.f64 x x)) (fma.f64 x -1/3 -1/2)))
(fma.f64 -1/3 (pow.f64 x 3) (.f64 x (.f64 x -1/2)))
(.f64 x (.f64 x (fma.f64 -1/3 x -1/2)))
(.f64 (.f64 x x) (fma.f64 -1/3 x -1/2))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 x x) (fma.f64 x -1/3 -1/2)))))
(fma.f64 -1/3 (pow.f64 x 3) (.f64 x (.f64 x -1/2)))
(.f64 x (.f64 x (fma.f64 -1/3 x -1/2)))
(.f64 (.f64 x x) (fma.f64 -1/3 x -1/2))
(cbrt.f64 (pow.f64 (.f64 (.f64 x x) (fma.f64 x -1/3 -1/2)) 3))
(fma.f64 -1/3 (pow.f64 x 3) (.f64 x (.f64 x -1/2)))
(.f64 x (.f64 x (fma.f64 -1/3 x -1/2)))
(.f64 (.f64 x x) (fma.f64 -1/3 x -1/2))
(expm1.f64 (log1p.f64 (.f64 (.f64 x x) (fma.f64 x -1/3 -1/2))))
(fma.f64 -1/3 (pow.f64 x 3) (.f64 x (.f64 x -1/2)))
(.f64 x (.f64 x (fma.f64 -1/3 x -1/2)))
(.f64 (.f64 x x) (fma.f64 -1/3 x -1/2))
(exp.f64 (log.f64 (.f64 (.f64 x x) (fma.f64 x -1/3 -1/2))))
(fma.f64 -1/3 (pow.f64 x 3) (.f64 x (.f64 x -1/2)))
(.f64 x (.f64 x (fma.f64 -1/3 x -1/2)))
(.f64 (.f64 x x) (fma.f64 -1/3 x -1/2))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 x x) (fma.f64 x -1/3 -1/2))) 1))
(fma.f64 -1/3 (pow.f64 x 3) (.f64 x (.f64 x -1/2)))
(.f64 x (.f64 x (fma.f64 -1/3 x -1/2)))
(.f64 (.f64 x x) (fma.f64 -1/3 x -1/2))
(log1p.f64 (expm1.f64 (.f64 (.f64 x x) (fma.f64 x -1/3 -1/2))))
(fma.f64 -1/3 (pow.f64 x 3) (.f64 x (.f64 x -1/2)))
(.f64 x (.f64 x (fma.f64 -1/3 x -1/2)))
(.f64 (.f64 x x) (fma.f64 -1/3 x -1/2))
(fma.f64 x (.f64 x (.f64 x -1/3)) (.f64 x (.f64 x -1/2)))
(fma.f64 -1/3 (pow.f64 x 3) (.f64 x (.f64 x -1/2)))
(.f64 x (.f64 x (fma.f64 -1/3 x -1/2)))
(.f64 (.f64 x x) (fma.f64 -1/3 x -1/2))
(fma.f64 x (.f64 x -1/2) (.f64 -1/3 (pow.f64 x 3)))
(fma.f64 -1/3 (pow.f64 x 3) (.f64 x (.f64 x -1/2)))
(.f64 x (.f64 x (fma.f64 -1/3 x -1/2)))
(.f64 (.f64 x x) (fma.f64 -1/3 x -1/2))
(fma.f64 x (.f64 -1/3 (.f64 x x)) (.f64 x (.f64 x -1/2)))
(fma.f64 -1/3 (pow.f64 x 3) (.f64 x (.f64 x -1/2)))
(.f64 x (.f64 x (fma.f64 -1/3 x -1/2)))
(.f64 (.f64 x x) (fma.f64 -1/3 x -1/2))
(fma.f64 -1/3 (pow.f64 x 3) (.f64 x (.f64 x -1/2)))
(.f64 x (.f64 x (fma.f64 -1/3 x -1/2)))
(.f64 (.f64 x x) (fma.f64 -1/3 x -1/2))
(fma.f64 (.f64 x -1/3) (.f64 x x) (.f64 x (.f64 x -1/2)))
(fma.f64 -1/3 (pow.f64 x 3) (.f64 x (.f64 x -1/2)))
(.f64 x (.f64 x (fma.f64 -1/3 x -1/2)))
(.f64 (.f64 x x) (fma.f64 -1/3 x -1/2))
(fma.f64 1 (.f64 -1/3 (pow.f64 x 3)) (.f64 x (*.f64 x -1/2)))
(fma.f64 -1/3 (pow.f64 x 3) (.f64 x (.f64 x -1/2)))
(.f64 x (.f64 x (fma.f64 -1/3 x -1/2)))
(.f64 (.f64 x x) (fma.f64 -1/3 x -1/2))
(fma.f64 1 (.f64 x (.f64 x -1/2)) (*.f64 -1/3 (pow.f64 x 3)))
(fma.f64 -1/3 (pow.f64 x 3) (.f64 x (.f64 x -1/2)))
(.f64 x (.f64 x (fma.f64 -1/3 x -1/2)))
(.f64 (.f64 x x) (fma.f64 -1/3 x -1/2))
(fma.f64 (.f64 x x) (.f64 x -1/3) (.f64 x (.f64 x -1/2)))
(fma.f64 -1/3 (pow.f64 x 3) (.f64 x (.f64 x -1/2)))
(.f64 x (.f64 x (fma.f64 -1/3 x -1/2)))
(.f64 (.f64 x x) (fma.f64 -1/3 x -1/2))
(fma.f64 (.f64 x x) -1/2 (.f64 -1/3 (pow.f64 x 3)))
(fma.f64 -1/3 (pow.f64 x 3) (.f64 x (.f64 x -1/2)))
(.f64 x (.f64 x (fma.f64 -1/3 x -1/2)))
(.f64 (.f64 x x) (fma.f64 -1/3 x -1/2))
(fma.f64 -1/2 (.f64 x x) (.f64 -1/3 (pow.f64 x 3)))
(fma.f64 -1/3 (pow.f64 x 3) (.f64 x (.f64 x -1/2)))
(.f64 x (.f64 x (fma.f64 -1/3 x -1/2)))
(.f64 (.f64 x x) (fma.f64 -1/3 x -1/2))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x -1/3)) 2) (.f64 (cbrt.f64 (.f64 x -1/3)) (.f64 x x)) (.f64 x (.f64 x -1/2)))
(fma.f64 -1/3 (pow.f64 x 3) (.f64 x (.f64 x -1/2)))
(.f64 x (.f64 x (fma.f64 -1/3 x -1/2)))
(.f64 (.f64 x x) (fma.f64 -1/3 x -1/2))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 x -1/3)) (.f64 x (.f64 x -1/2)))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (.f64 (.f64 -1/3 x) (pow.f64 (cbrt.f64 x) 2)) (.f64 x (.f64 x -1/2)))
(.f64 x (+.f64 (.f64 x -1/2) (.f64 (.f64 -1/3 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (.f64 (pow.f64 (cbrt.f64 x) 2) -1/2) (.f64 -1/3 (pow.f64 x 3)))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (.f64 -1/2 (pow.f64 (cbrt.f64 x) 2)) (.f64 -1/3 (pow.f64 x 3)))
(fma.f64 (.f64 -1/2 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2) (.f64 -1/3 (pow.f64 x 3)))
(fma.f64 (sqrt.f64 (.f64 x -1/3)) (.f64 (sqrt.f64 (.f64 x -1/3)) (.f64 x x)) (.f64 x (.f64 x -1/2)))
(fma.f64 -1/3 (pow.f64 x 3) (.f64 x (.f64 x -1/2)))
(.f64 x (.f64 x (fma.f64 -1/3 x -1/2)))
(.f64 (.f64 x x) (fma.f64 -1/3 x -1/2))
(fma.f64 (pow.f64 x 3) -1/3 (.f64 x (.f64 x -1/2)))
(fma.f64 -1/3 (pow.f64 x 3) (.f64 x (.f64 x -1/2)))
(.f64 x (.f64 x (fma.f64 -1/3 x -1/2)))
(.f64 (.f64 x x) (fma.f64 -1/3 x -1/2))
(fma.f64 (.f64 x (.f64 x -1/2)) 1 (.f64 (.f64 -1/3 (pow.f64 x 3)) 1))
(fma.f64 -1/3 (pow.f64 x 3) (.f64 x (.f64 x -1/2)))
(.f64 x (.f64 x (fma.f64 -1/3 x -1/2)))
(.f64 (.f64 x x) (fma.f64 -1/3 x -1/2))
(fma.f64 (.f64 (cbrt.f64 (.f64 -1/3 (pow.f64 x 3))) (cbrt.f64 (.f64 -1/3 (pow.f64 x 3)))) (cbrt.f64 (.f64 -1/3 (pow.f64 x 3))) (.f64 x (.f64 x -1/2)))
(fma.f64 -1/3 (pow.f64 x 3) (.f64 x (.f64 x -1/2)))
(.f64 x (.f64 x (fma.f64 -1/3 x -1/2)))
(.f64 (.f64 x x) (fma.f64 -1/3 x -1/2))
(fma.f64 (.f64 (cbrt.f64 (.f64 x (.f64 x -1/2))) (cbrt.f64 (.f64 x (.f64 x -1/2)))) (cbrt.f64 (.f64 x (.f64 x -1/2))) (.f64 -1/3 (pow.f64 x 3)))
(fma.f64 -1/3 (pow.f64 x 3) (.f64 x (.f64 x -1/2)))
(.f64 x (.f64 x (fma.f64 -1/3 x -1/2)))
(.f64 (.f64 x x) (fma.f64 -1/3 x -1/2))
(fma.f64 (sqrt.f64 (.f64 -1/3 (pow.f64 x 3))) (sqrt.f64 (.f64 -1/3 (pow.f64 x 3))) (.f64 x (.f64 x -1/2)))
(fma.f64 -1/3 (pow.f64 x 3) (.f64 x (.f64 x -1/2)))
(.f64 x (.f64 x (fma.f64 -1/3 x -1/2)))
(.f64 (.f64 x x) (fma.f64 -1/3 x -1/2))
(fma.f64 (sqrt.f64 (.f64 x (.f64 x -1/2))) (sqrt.f64 (.f64 x (.f64 x -1/2))) (*.f64 -1/3 (pow.f64 x 3)))
(fma.f64 -1/3 (pow.f64 x 3) (.f64 x (.f64 x -1/2)))
(.f64 x (.f64 x (fma.f64 -1/3 x -1/2)))
(.f64 (.f64 x x) (fma.f64 -1/3 x -1/2))
(fma.f64 (.f64 x (sqrt.f64 (.f64 x -1/3))) (.f64 x (sqrt.f64 (.f64 x -1/3))) (.f64 x (.f64 x -1/2)))
(fma.f64 -1/3 (pow.f64 x 3) (.f64 x (.f64 x -1/2)))
(.f64 x (.f64 x (fma.f64 -1/3 x -1/2)))
(.f64 (.f64 x x) (fma.f64 -1/3 x -1/2))
(fma.f64 (.f64 (sqrt.f64 (.f64 x -1/3)) x) (.f64 (sqrt.f64 (.f64 x -1/3)) x) (.f64 x (.f64 x -1/2)))
(fma.f64 -1/3 (pow.f64 x 3) (.f64 x (.f64 x -1/2)))
(.f64 x (.f64 x (fma.f64 -1/3 x -1/2)))
(.f64 (.f64 x x) (fma.f64 -1/3 x -1/2))
(fma.f64 (.f64 (.f64 x -1/3) x) x (.f64 x (.f64 x -1/2)))
(fma.f64 -1/3 (pow.f64 x 3) (.f64 x (.f64 x -1/2)))
(.f64 x (.f64 x (fma.f64 -1/3 x -1/2)))
(.f64 (.f64 x x) (fma.f64 -1/3 x -1/2))
(fma.f64 (.f64 -1/2 x) x (.f64 -1/3 (pow.f64 x 3)))
(fma.f64 -1/3 (pow.f64 x 3) (.f64 x (.f64 x -1/2)))
(.f64 x (.f64 x (fma.f64 -1/3 x -1/2)))
(.f64 (.f64 x x) (fma.f64 -1/3 x -1/2))
(fma.f64 (.f64 (.f64 x x) -1/3) x (.f64 x (.f64 x -1/2)))
(fma.f64 -1/3 (pow.f64 x 3) (.f64 x (.f64 x -1/2)))
(.f64 x (.f64 x (fma.f64 -1/3 x -1/2)))
(.f64 (.f64 x x) (fma.f64 -1/3 x -1/2))
(fma.f64 (.f64 (.f64 x x) (pow.f64 (cbrt.f64 (.f64 x -1/3)) 2)) (cbrt.f64 (.f64 x -1/3)) (.f64 x (.f64 x -1/2)))
(fma.f64 -1/3 (pow.f64 x 3) (.f64 x (.f64 x -1/2)))
(.f64 x (.f64 x (fma.f64 -1/3 x -1/2)))
(.f64 (.f64 x x) (fma.f64 -1/3 x -1/2))
(fma.f64 (.f64 (.f64 x x) (sqrt.f64 (.f64 x -1/3))) (sqrt.f64 (.f64 x -1/3)) (.f64 x (.f64 x -1/2)))
(fma.f64 -1/3 (pow.f64 x 3) (.f64 x (.f64 x -1/2)))
(.f64 x (.f64 x (fma.f64 -1/3 x -1/2)))
(.f64 (.f64 x x) (fma.f64 -1/3 x -1/2))
(fma.f64 (.f64 -1/2 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2) (.f64 -1/3 (pow.f64 x 3)))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (.f64 -1/2 (pow.f64 (cbrt.f64 x) 2)) (.f64 -1/3 (pow.f64 x 3)))
(fma.f64 (.f64 (.f64 x -1/3) (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2) (.f64 x (.f64 x -1/2)))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (.f64 (.f64 -1/3 x) (pow.f64 (cbrt.f64 x) 2)) (.f64 x (.f64 x -1/2)))
(.f64 x (+.f64 (.f64 x -1/2) (.f64 (.f64 -1/3 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))))

localize22.0ms (0.2%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(-.f64 (.f64 (.f64 x x) (+.f64 -1/2 (*.f64 x -1/3))) x)
	100.0%	(.f64 (.f64 x x) (+.f64 -1/2 (*.f64 x -1/3)))
✓	99.7%	(.f64 (+.f64 (/.f64 1 x) 1/2) (-.f64 (.f64 (.f64 x x) (+.f64 -1/2 (.f64 x -1/3))) x))
	99.5%	(*.f64 x -1/3)

Compiler

Compiled 62 to 40 computations (35.5% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(.f64 (+.f64 (/.f64 1 x) 1/2) (-.f64 (.f64 (.f64 x x) (+.f64 -1/2 (.f64 x -1/3))) x))
0.0ms	x	@	inf	(.f64 (+.f64 (/.f64 1 x) 1/2) (-.f64 (.f64 (.f64 x x) (+.f64 -1/2 (.f64 x -1/3))) x))
0.0ms	x	@	-inf	(-.f64 (.f64 (.f64 x x) (+.f64 -1/2 (*.f64 x -1/3))) x)
0.0ms	x	@	-inf	(.f64 (+.f64 (/.f64 1 x) 1/2) (-.f64 (.f64 (.f64 x x) (+.f64 -1/2 (.f64 x -1/3))) x))
0.0ms	x	@	inf	(-.f64 (.f64 (.f64 x x) (+.f64 -1/2 (*.f64 x -1/3))) x)

rewrite131.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1510×	`log-prod`
1386×	`fma-def`
578×	`expm1-udef`
574×	`log1p-udef`
408×	`fma-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	80
1	341	72
2	4679	72

Stop Event

1×	node limit

Counts

2 → 169

Calls

Call 1

Inputs
(.f64 (+.f64 (/.f64 1 x) 1/2) (-.f64 (.f64 (.f64 x x) (+.f64 -1/2 (.f64 x -1/3))) x))
(-.f64 (.f64 (.f64 x x) (+.f64 -1/2 (*.f64 x -1/3))) x)

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

simplify164.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1358×	`times-frac`
992×	`unswap-sqr`
586×	`fma-neg`
412×	`associate-r`
388×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	378	8943
1	977	8111
2	3525	8101

Stop Event

1×	node limit

Counts

193 → 251

Calls

Call 1

Inputs
-1
(-.f64 (*.f64 -1 x) 1)
(-.f64 (+.f64 (.f64 -7/12 (pow.f64 x 2)) (.f64 -1 x)) 1)
(-.f64 (+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 -7/12 (pow.f64 x 2)) (*.f64 -1 x))) 1)
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 -7/12 (pow.f64 x 2)))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 -7/12 (pow.f64 x 2)) (*.f64 -1 x)))
(-.f64 (+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 -7/12 (pow.f64 x 2)) (*.f64 -1 x))) 1)
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 -7/12 (pow.f64 x 2)))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 -7/12 (pow.f64 x 2)) (*.f64 -1 x)))
(-.f64 (+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 -7/12 (pow.f64 x 2)) (*.f64 -1 x))) 1)
(*.f64 -1 x)
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (*.f64 -1 x)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (*.f64 -1 x)))
(*.f64 -1/3 (pow.f64 x 3))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1/3 (pow.f64 x 3)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1 x) (*.f64 -1/3 (pow.f64 x 3))))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1 x) (*.f64 -1/3 (pow.f64 x 3))))
(*.f64 -1/3 (pow.f64 x 3))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1/3 (pow.f64 x 3)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1 x) (*.f64 -1/3 (pow.f64 x 3))))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1 x) (*.f64 -1/3 (pow.f64 x 3))))
(+.f64 0 (.f64 (+.f64 (/.f64 1 x) 1/2) (-.f64 (.f64 x (*.f64 x (fma.f64 x -1/3 -1/2))) x)))
(+.f64 (.f64 (+.f64 (/.f64 1 x) 1/2) (.f64 x (.f64 x (fma.f64 x -1/3 -1/2)))) (.f64 (+.f64 (/.f64 1 x) 1/2) (neg.f64 x)))
(+.f64 (.f64 (-.f64 (.f64 x (.f64 x (fma.f64 x -1/3 -1/2))) x) (/.f64 1 x)) (.f64 (-.f64 (.f64 x (.f64 x (fma.f64 x -1/3 -1/2))) x) 1/2))
(+.f64 (.f64 (-.f64 (.f64 x (.f64 x (fma.f64 x -1/3 -1/2))) x) 1/2) (.f64 (-.f64 (.f64 x (.f64 x (fma.f64 x -1/3 -1/2))) x) (/.f64 1 x)))
(+.f64 (.f64 (.f64 x (.f64 x (fma.f64 x -1/3 -1/2))) (+.f64 (/.f64 1 x) 1/2)) (.f64 (neg.f64 x) (+.f64 (/.f64 1 x) 1/2)))
(+.f64 (.f64 (/.f64 1 x) (-.f64 (.f64 x (.f64 x (fma.f64 x -1/3 -1/2))) x)) (.f64 1/2 (-.f64 (.f64 x (.f64 x (fma.f64 x -1/3 -1/2))) x)))
(+.f64 (.f64 1/2 (-.f64 (.f64 x (.f64 x (fma.f64 x -1/3 -1/2))) x)) (.f64 (/.f64 1 x) (-.f64 (.f64 x (.f64 x (fma.f64 x -1/3 -1/2))) x)))
(+.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 (.f64 x (.f64 x (fma.f64 x -1/3 -1/2))) x)) (+.f64 (/.f64 1 x) 1/2))) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 (.f64 x (.f64 x (fma.f64 x -1/3 -1/2))) x)) (+.f64 (/.f64 1 x) 1/2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 (.f64 x (*.f64 x (fma.f64 x -1/3 -1/2))) x)) (+.f64 (/.f64 1 x) 1/2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 (.f64 x (.f64 x (fma.f64 x -1/3 -1/2))) x)) (+.f64 (/.f64 1 x) 1/2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 (.f64 x (.f64 x (fma.f64 x -1/3 -1/2))) x)) (+.f64 (/.f64 1 x) 1/2)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (+.f64 (/.f64 1 x) 1/2) (-.f64 (.f64 x (*.f64 x (fma.f64 x -1/3 -1/2))) x)))) 1)
(/.f64 (.f64 (+.f64 1/8 (pow.f64 x -3)) (-.f64 (pow.f64 (.f64 x (.f64 x (fma.f64 x -1/3 -1/2))) 3) (pow.f64 x 3))) (.f64 (+.f64 (pow.f64 x -2) (-.f64 1/4 (/.f64 1/2 x))) (fma.f64 x (fma.f64 x (.f64 x (fma.f64 x -1/3 -1/2)) x) (.f64 (pow.f64 (fma.f64 x -1/3 -1/2) 2) (pow.f64 x 4)))))
(/.f64 (.f64 (+.f64 1/8 (pow.f64 x -3)) (-.f64 (.f64 (pow.f64 (fma.f64 x -1/3 -1/2) 2) (pow.f64 x 4)) (.f64 x x))) (.f64 (+.f64 (pow.f64 x -2) (-.f64 1/4 (/.f64 1/2 x))) (fma.f64 x (*.f64 x (fma.f64 x -1/3 -1/2)) x)))
(/.f64 (.f64 (+.f64 (pow.f64 x -2) -1/4) (-.f64 (pow.f64 (.f64 x (.f64 x (fma.f64 x -1/3 -1/2))) 3) (pow.f64 x 3))) (.f64 (+.f64 (/.f64 1 x) -1/2) (fma.f64 x (fma.f64 x (.f64 x (fma.f64 x -1/3 -1/2)) x) (.f64 (pow.f64 (fma.f64 x -1/3 -1/2) 2) (pow.f64 x 4)))))
(/.f64 (.f64 (+.f64 (pow.f64 x -2) -1/4) (-.f64 (.f64 (pow.f64 (fma.f64 x -1/3 -1/2) 2) (pow.f64 x 4)) (.f64 x x))) (.f64 (+.f64 (/.f64 1 x) -1/2) (fma.f64 x (*.f64 x (fma.f64 x -1/3 -1/2)) x)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 x (.f64 x (fma.f64 x -1/3 -1/2))) 3) (pow.f64 x 3)) (+.f64 1/8 (pow.f64 x -3))) (.f64 (fma.f64 x (fma.f64 x (.f64 x (fma.f64 x -1/3 -1/2)) x) (.f64 (pow.f64 (fma.f64 x -1/3 -1/2) 2) (pow.f64 x 4))) (+.f64 (pow.f64 x -2) (-.f64 1/4 (/.f64 1/2 x)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 x (.f64 x (fma.f64 x -1/3 -1/2))) 3) (pow.f64 x 3)) (+.f64 (pow.f64 x -2) -1/4)) (.f64 (fma.f64 x (fma.f64 x (.f64 x (fma.f64 x -1/3 -1/2)) x) (.f64 (pow.f64 (fma.f64 x -1/3 -1/2) 2) (pow.f64 x 4))) (+.f64 (/.f64 1 x) -1/2)))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (fma.f64 x -1/3 -1/2) 2) (pow.f64 x 4)) (.f64 x x)) (+.f64 1/8 (pow.f64 x -3))) (.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/3 -1/2)) x) (+.f64 (pow.f64 x -2) (-.f64 1/4 (/.f64 1/2 x)))))
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(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 x (fma.f64 x -1/3 -1/2)))) 2) (cbrt.f64 (.f64 x (.f64 x (fma.f64 x -1/3 -1/2)))) (neg.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 x (fma.f64 x -1/3 -1/2)))) 2) (cbrt.f64 (.f64 x (.f64 x (fma.f64 x -1/3 -1/2)))) (*.f64 (neg.f64 x) 1))
(fma.f64 (sqrt.f64 (fma.f64 x -1/3 -1/2)) (.f64 (sqrt.f64 (fma.f64 x -1/3 -1/2)) (.f64 x x)) (neg.f64 x))
(fma.f64 (sqrt.f64 (fma.f64 x -1/3 -1/2)) (.f64 (sqrt.f64 (fma.f64 x -1/3 -1/2)) (.f64 x x)) (*.f64 (neg.f64 x) 1))
(fma.f64 (sqrt.f64 (-.f64 (.f64 x (.f64 x (fma.f64 x -1/3 -1/2))) x)) (sqrt.f64 (-.f64 (.f64 x (.f64 x (fma.f64 x -1/3 -1/2))) x)) (fma.f64 (neg.f64 x) 1 x))
(fma.f64 (sqrt.f64 (-.f64 (.f64 x (.f64 x (fma.f64 x -1/3 -1/2))) x)) (sqrt.f64 (-.f64 (.f64 x (.f64 x (fma.f64 x -1/3 -1/2))) x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(fma.f64 (sqrt.f64 (-.f64 (.f64 x (.f64 x (fma.f64 x -1/3 -1/2))) x)) (sqrt.f64 (-.f64 (.f64 x (.f64 x (fma.f64 x -1/3 -1/2))) x)) (+.f64 (neg.f64 x) x))
(fma.f64 (.f64 x (sqrt.f64 (fma.f64 x -1/3 -1/2))) (.f64 x (sqrt.f64 (fma.f64 x -1/3 -1/2))) (neg.f64 x))
(fma.f64 (.f64 x (sqrt.f64 (fma.f64 x -1/3 -1/2))) (.f64 x (sqrt.f64 (fma.f64 x -1/3 -1/2))) (*.f64 (neg.f64 x) 1))
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) (.f64 x (.f64 x (fma.f64 x -1/3 -1/2))))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (.f64 x (fma.f64 x -1/3 -1/2))) (neg.f64 x))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (.f64 x (fma.f64 x -1/3 -1/2))) (*.f64 (neg.f64 x) 1))
(fma.f64 -1 x (.f64 x (.f64 x (fma.f64 x -1/3 -1/2))))
(fma.f64 (-.f64 (pow.f64 (.f64 x (.f64 x (fma.f64 x -1/3 -1/2))) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (fma.f64 x (.f64 x (fma.f64 x -1/3 -1/2)) x) (.f64 (pow.f64 (fma.f64 x -1/3 -1/2) 2) (pow.f64 x 4)))) (fma.f64 (neg.f64 x) 1 x))
(fma.f64 (-.f64 (pow.f64 (.f64 x (.f64 x (fma.f64 x -1/3 -1/2))) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (fma.f64 x (.f64 x (fma.f64 x -1/3 -1/2)) x) (.f64 (pow.f64 (fma.f64 x -1/3 -1/2) 2) (pow.f64 x 4)))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(fma.f64 (-.f64 (pow.f64 (.f64 x (.f64 x (fma.f64 x -1/3 -1/2))) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (fma.f64 x (.f64 x (fma.f64 x -1/3 -1/2)) x) (.f64 (pow.f64 (fma.f64 x -1/3 -1/2) 2) (pow.f64 x 4)))) (+.f64 (neg.f64 x) x))
(fma.f64 (-.f64 (.f64 (pow.f64 (fma.f64 x -1/3 -1/2) 2) (pow.f64 x 4)) (.f64 x x)) (/.f64 1 (fma.f64 x (*.f64 x (fma.f64 x -1/3 -1/2)) x)) (fma.f64 (neg.f64 x) 1 x))
(fma.f64 (-.f64 (.f64 (pow.f64 (fma.f64 x -1/3 -1/2) 2) (pow.f64 x 4)) (.f64 x x)) (/.f64 1 (fma.f64 x (*.f64 x (fma.f64 x -1/3 -1/2)) x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(fma.f64 (-.f64 (.f64 (pow.f64 (fma.f64 x -1/3 -1/2) 2) (pow.f64 x 4)) (.f64 x x)) (/.f64 1 (fma.f64 x (*.f64 x (fma.f64 x -1/3 -1/2)) x)) (+.f64 (neg.f64 x) x))
(fma.f64 (*.f64 x (fma.f64 x -1/3 -1/2)) x (neg.f64 x))
(fma.f64 (.f64 x (fma.f64 x -1/3 -1/2)) x (.f64 (neg.f64 x) 1))
(fma.f64 (.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (neg.f64 x)) (.f64 x (*.f64 x (fma.f64 x -1/3 -1/2))))
(fma.f64 (.f64 (cbrt.f64 (.f64 x (.f64 x -1/2))) (cbrt.f64 (.f64 x (.f64 x -1/2)))) (cbrt.f64 (.f64 x (.f64 x -1/2))) (-.f64 (.f64 -1/3 (pow.f64 x 3)) x))
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (.f64 x (.f64 x (fma.f64 x -1/3 -1/2))))
(fma.f64 (sqrt.f64 (.f64 x (.f64 x -1/2))) (sqrt.f64 (.f64 x (.f64 x -1/2))) (-.f64 (*.f64 -1/3 (pow.f64 x 3)) x))
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) (.f64 x (.f64 x (fma.f64 x -1/3 -1/2))))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 x (.f64 x (fma.f64 x -1/3 -1/2))))
(fma.f64 (fma.f64 x (sqrt.f64 (fma.f64 x -1/3 -1/2)) (sqrt.f64 x)) (fma.f64 x (sqrt.f64 (fma.f64 x -1/3 -1/2)) (neg.f64 (sqrt.f64 x))) (fma.f64 (neg.f64 x) 1 x))
(fma.f64 (fma.f64 x (sqrt.f64 (fma.f64 x -1/3 -1/2)) (sqrt.f64 x)) (fma.f64 x (sqrt.f64 (fma.f64 x -1/3 -1/2)) (neg.f64 (sqrt.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(fma.f64 (fma.f64 x (sqrt.f64 (fma.f64 x -1/3 -1/2)) (sqrt.f64 x)) (fma.f64 x (sqrt.f64 (fma.f64 x -1/3 -1/2)) (neg.f64 (sqrt.f64 x))) (+.f64 (neg.f64 x) x))
(fma.f64 (.f64 -1/2 x) x (-.f64 (.f64 -1/3 (pow.f64 x 3)) x))
(fma.f64 (.f64 -1/2 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2) (-.f64 (.f64 -1/3 (pow.f64 x 3)) x))
(fma.f64 (.f64 (.f64 x x) (pow.f64 (cbrt.f64 (fma.f64 x -1/3 -1/2)) 2)) (cbrt.f64 (fma.f64 x -1/3 -1/2)) (neg.f64 x))
(fma.f64 (.f64 (.f64 x x) (pow.f64 (cbrt.f64 (fma.f64 x -1/3 -1/2)) 2)) (cbrt.f64 (fma.f64 x -1/3 -1/2)) (*.f64 (neg.f64 x) 1))
(fma.f64 (.f64 (.f64 x x) (sqrt.f64 (fma.f64 x -1/3 -1/2))) (sqrt.f64 (fma.f64 x -1/3 -1/2)) (neg.f64 x))
(fma.f64 (.f64 (.f64 x x) (sqrt.f64 (fma.f64 x -1/3 -1/2))) (sqrt.f64 (fma.f64 x -1/3 -1/2)) (*.f64 (neg.f64 x) 1))
(fma.f64 (*.f64 (fma.f64 x -1/3 -1/2) (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2) (neg.f64 x))
(fma.f64 (.f64 (fma.f64 x -1/3 -1/2) (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2) (.f64 (neg.f64 x) 1))

Outputs
-1
(-.f64 (*.f64 -1 x) 1)
(fma.f64 -1 x -1)
(-.f64 -1 x)
(-.f64 (+.f64 (.f64 -7/12 (pow.f64 x 2)) (.f64 -1 x)) 1)
(+.f64 (fma.f64 -7/12 (*.f64 x x) (neg.f64 x)) -1)
(fma.f64 -7/12 (*.f64 x x) (fma.f64 -1 x -1))
(fma.f64 -7/12 (*.f64 x x) (-.f64 -1 x))
(-.f64 (+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 -7/12 (pow.f64 x 2)) (*.f64 -1 x))) 1)
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 -7/12 (*.f64 x x) (neg.f64 x))) -1)
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 -7/12 (*.f64 x x) (fma.f64 -1 x -1)))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 -7/12 (*.f64 x x) (-.f64 -1 x)))
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 -7/12 (pow.f64 x 2)))
(fma.f64 -1/6 (pow.f64 x 3) (.f64 -7/12 (.f64 x x)))
(fma.f64 -7/12 (.f64 x x) (.f64 -1/6 (pow.f64 x 3)))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 -7/12 (pow.f64 x 2)) (*.f64 -1 x)))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 -7/12 (*.f64 x x) (neg.f64 x)))
(-.f64 (fma.f64 -7/12 (.f64 x x) (.f64 -1/6 (pow.f64 x 3))) x)
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 x (*.f64 x -7/12) (neg.f64 x)))
(-.f64 (+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 -7/12 (pow.f64 x 2)) (*.f64 -1 x))) 1)
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 -7/12 (*.f64 x x) (neg.f64 x))) -1)
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 -7/12 (*.f64 x x) (fma.f64 -1 x -1)))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 -7/12 (*.f64 x x) (-.f64 -1 x)))
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 -7/12 (pow.f64 x 2)))
(fma.f64 -1/6 (pow.f64 x 3) (.f64 -7/12 (.f64 x x)))
(fma.f64 -7/12 (.f64 x x) (.f64 -1/6 (pow.f64 x 3)))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 -7/12 (pow.f64 x 2)) (*.f64 -1 x)))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 -7/12 (*.f64 x x) (neg.f64 x)))
(-.f64 (fma.f64 -7/12 (.f64 x x) (.f64 -1/6 (pow.f64 x 3))) x)
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 x (*.f64 x -7/12) (neg.f64 x)))
(-.f64 (+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 -7/12 (pow.f64 x 2)) (*.f64 -1 x))) 1)
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 -7/12 (*.f64 x x) (neg.f64 x))) -1)
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 -7/12 (*.f64 x x) (fma.f64 -1 x -1)))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 -7/12 (*.f64 x x) (-.f64 -1 x)))
(*.f64 -1 x)
(neg.f64 x)
(+.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)
(fma.f64 x (*.f64 x -1/2) (neg.f64 x))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (*.f64 -1 x)))
(fma.f64 x (*.f64 x -1/2) (fma.f64 -1/3 (pow.f64 x 3) (neg.f64 x)))
(-.f64 (.f64 x (.f64 x (fma.f64 x -1/3 -1/2))) x)
(-.f64 (.f64 (fma.f64 x -1/3 -1/2) (.f64 x x)) x)
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (*.f64 -1 x)))
(fma.f64 x (*.f64 x -1/2) (fma.f64 -1/3 (pow.f64 x 3) (neg.f64 x)))
(-.f64 (.f64 x (.f64 x (fma.f64 x -1/3 -1/2))) x)
(-.f64 (.f64 (fma.f64 x -1/3 -1/2) (.f64 x x)) x)
(*.f64 -1/3 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -1/3)
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1/3 (pow.f64 x 3)))
(fma.f64 -1/2 (.f64 x x) (.f64 (pow.f64 x 3) -1/3))
(.f64 x (.f64 x (fma.f64 x -1/3 -1/2)))
(.f64 (fma.f64 x -1/3 -1/2) (.f64 x x))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1 x) (*.f64 -1/3 (pow.f64 x 3))))
(fma.f64 x (*.f64 x -1/2) (fma.f64 -1/3 (pow.f64 x 3) (neg.f64 x)))
(-.f64 (.f64 x (.f64 x (fma.f64 x -1/3 -1/2))) x)
(-.f64 (.f64 (fma.f64 x -1/3 -1/2) (.f64 x x)) x)
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1 x) (*.f64 -1/3 (pow.f64 x 3))))
(fma.f64 x (*.f64 x -1/2) (fma.f64 -1/3 (pow.f64 x 3) (neg.f64 x)))
(-.f64 (.f64 x (.f64 x (fma.f64 x -1/3 -1/2))) x)
(-.f64 (.f64 (fma.f64 x -1/3 -1/2) (.f64 x x)) x)
(*.f64 -1/3 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -1/3)
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1/3 (pow.f64 x 3)))
(fma.f64 -1/2 (.f64 x x) (.f64 (pow.f64 x 3) -1/3))
(.f64 x (.f64 x (fma.f64 x -1/3 -1/2)))
(.f64 (fma.f64 x -1/3 -1/2) (.f64 x x))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1 x) (*.f64 -1/3 (pow.f64 x 3))))
(fma.f64 x (*.f64 x -1/2) (fma.f64 -1/3 (pow.f64 x 3) (neg.f64 x)))
(-.f64 (.f64 x (.f64 x (fma.f64 x -1/3 -1/2))) x)
(-.f64 (.f64 (fma.f64 x -1/3 -1/2) (.f64 x x)) x)
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1 x) (*.f64 -1/3 (pow.f64 x 3))))
(fma.f64 x (*.f64 x -1/2) (fma.f64 -1/3 (pow.f64 x 3) (neg.f64 x)))
(-.f64 (.f64 x (.f64 x (fma.f64 x -1/3 -1/2))) x)
(-.f64 (.f64 (fma.f64 x -1/3 -1/2) (.f64 x x)) x)
(+.f64 0 (.f64 (+.f64 (/.f64 1 x) 1/2) (-.f64 (.f64 x (*.f64 x (fma.f64 x -1/3 -1/2))) x)))
(.f64 (+.f64 (/.f64 1 x) 1/2) (-.f64 (.f64 (*.f64 x x) (fma.f64 x -1/3 -1/2)) x))
(.f64 (+.f64 (/.f64 1 x) 1/2) (-.f64 (.f64 x (*.f64 x (fma.f64 x -1/3 -1/2))) x))
(.f64 (+.f64 (/.f64 1 x) 1/2) (-.f64 (.f64 (fma.f64 x -1/3 -1/2) (*.f64 x x)) x))
(+.f64 (.f64 (+.f64 (/.f64 1 x) 1/2) (.f64 x (.f64 x (fma.f64 x -1/3 -1/2)))) (.f64 (+.f64 (/.f64 1 x) 1/2) (neg.f64 x)))
(.f64 (+.f64 (/.f64 1 x) 1/2) (-.f64 (.f64 (*.f64 x x) (fma.f64 x -1/3 -1/2)) x))
(.f64 (+.f64 (/.f64 1 x) 1/2) (-.f64 (.f64 x (*.f64 x (fma.f64 x -1/3 -1/2))) x))
(.f64 (+.f64 (/.f64 1 x) 1/2) (-.f64 (.f64 (fma.f64 x -1/3 -1/2) (*.f64 x x)) x))
(+.f64 (.f64 (-.f64 (.f64 x (.f64 x (fma.f64 x -1/3 -1/2))) x) (/.f64 1 x)) (.f64 (-.f64 (.f64 x (.f64 x (fma.f64 x -1/3 -1/2))) x) 1/2))
(.f64 (+.f64 (/.f64 1 x) 1/2) (-.f64 (.f64 (*.f64 x x) (fma.f64 x -1/3 -1/2)) x))
(.f64 (+.f64 (/.f64 1 x) 1/2) (-.f64 (.f64 x (*.f64 x (fma.f64 x -1/3 -1/2))) x))
(.f64 (+.f64 (/.f64 1 x) 1/2) (-.f64 (.f64 (fma.f64 x -1/3 -1/2) (*.f64 x x)) x))
(+.f64 (.f64 (-.f64 (.f64 x (.f64 x (fma.f64 x -1/3 -1/2))) x) 1/2) (.f64 (-.f64 (.f64 x (.f64 x (fma.f64 x -1/3 -1/2))) x) (/.f64 1 x)))
(.f64 (+.f64 (/.f64 1 x) 1/2) (-.f64 (.f64 (*.f64 x x) (fma.f64 x -1/3 -1/2)) x))
(.f64 (+.f64 (/.f64 1 x) 1/2) (-.f64 (.f64 x (*.f64 x (fma.f64 x -1/3 -1/2))) x))
(.f64 (+.f64 (/.f64 1 x) 1/2) (-.f64 (.f64 (fma.f64 x -1/3 -1/2) (*.f64 x x)) x))
(+.f64 (.f64 (.f64 x (.f64 x (fma.f64 x -1/3 -1/2))) (+.f64 (/.f64 1 x) 1/2)) (.f64 (neg.f64 x) (+.f64 (/.f64 1 x) 1/2)))
(.f64 (+.f64 (/.f64 1 x) 1/2) (-.f64 (.f64 (*.f64 x x) (fma.f64 x -1/3 -1/2)) x))
(.f64 (+.f64 (/.f64 1 x) 1/2) (-.f64 (.f64 x (*.f64 x (fma.f64 x -1/3 -1/2))) x))
(.f64 (+.f64 (/.f64 1 x) 1/2) (-.f64 (.f64 (fma.f64 x -1/3 -1/2) (*.f64 x x)) x))
(+.f64 (.f64 (/.f64 1 x) (-.f64 (.f64 x (.f64 x (fma.f64 x -1/3 -1/2))) x)) (.f64 1/2 (-.f64 (.f64 x (.f64 x (fma.f64 x -1/3 -1/2))) x)))
(.f64 (+.f64 (/.f64 1 x) 1/2) (-.f64 (.f64 (*.f64 x x) (fma.f64 x -1/3 -1/2)) x))
(.f64 (+.f64 (/.f64 1 x) 1/2) (-.f64 (.f64 x (*.f64 x (fma.f64 x -1/3 -1/2))) x))
(.f64 (+.f64 (/.f64 1 x) 1/2) (-.f64 (.f64 (fma.f64 x -1/3 -1/2) (*.f64 x x)) x))
(+.f64 (.f64 1/2 (-.f64 (.f64 x (.f64 x (fma.f64 x -1/3 -1/2))) x)) (.f64 (/.f64 1 x) (-.f64 (.f64 x (.f64 x (fma.f64 x -1/3 -1/2))) x)))
(.f64 (+.f64 (/.f64 1 x) 1/2) (-.f64 (.f64 (*.f64 x x) (fma.f64 x -1/3 -1/2)) x))
(.f64 (+.f64 (/.f64 1 x) 1/2) (-.f64 (.f64 x (*.f64 x (fma.f64 x -1/3 -1/2))) x))
(.f64 (+.f64 (/.f64 1 x) 1/2) (-.f64 (.f64 (fma.f64 x -1/3 -1/2) (*.f64 x x)) x))
(+.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 (.f64 x (.f64 x (fma.f64 x -1/3 -1/2))) x)) (+.f64 (/.f64 1 x) 1/2))) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 (.f64 x (.f64 x (fma.f64 x -1/3 -1/2))) x)) (+.f64 (/.f64 1 x) 1/2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 (.f64 x (*.f64 x (fma.f64 x -1/3 -1/2))) x)) (+.f64 (/.f64 1 x) 1/2)))))
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(-.f64 (.f64 (fma.f64 x -1/3 -1/2) (.f64 x x)) x)
(fma.f64 (.f64 x (sqrt.f64 (fma.f64 x -1/3 -1/2))) (.f64 x (sqrt.f64 (fma.f64 x -1/3 -1/2))) (*.f64 (neg.f64 x) 1))
(fma.f64 x (*.f64 x -1/2) (fma.f64 -1/3 (pow.f64 x 3) (neg.f64 x)))
(-.f64 (.f64 x (.f64 x (fma.f64 x -1/3 -1/2))) x)
(-.f64 (.f64 (fma.f64 x -1/3 -1/2) (.f64 x x)) x)
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) (.f64 x (.f64 x (fma.f64 x -1/3 -1/2))))
(fma.f64 x (*.f64 x -1/2) (fma.f64 -1/3 (pow.f64 x 3) (neg.f64 x)))
(-.f64 (.f64 x (.f64 x (fma.f64 x -1/3 -1/2))) x)
(-.f64 (.f64 (fma.f64 x -1/3 -1/2) (.f64 x x)) x)
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (.f64 x (fma.f64 x -1/3 -1/2))) (neg.f64 x))
(fma.f64 x (*.f64 x -1/2) (fma.f64 -1/3 (pow.f64 x 3) (neg.f64 x)))
(-.f64 (.f64 x (.f64 x (fma.f64 x -1/3 -1/2))) x)
(-.f64 (.f64 (fma.f64 x -1/3 -1/2) (.f64 x x)) x)
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (.f64 x (fma.f64 x -1/3 -1/2))) (*.f64 (neg.f64 x) 1))
(fma.f64 x (*.f64 x -1/2) (fma.f64 -1/3 (pow.f64 x 3) (neg.f64 x)))
(-.f64 (.f64 x (.f64 x (fma.f64 x -1/3 -1/2))) x)
(-.f64 (.f64 (fma.f64 x -1/3 -1/2) (.f64 x x)) x)
(fma.f64 -1 x (.f64 x (.f64 x (fma.f64 x -1/3 -1/2))))
(fma.f64 x (*.f64 x -1/2) (fma.f64 -1/3 (pow.f64 x 3) (neg.f64 x)))
(-.f64 (.f64 x (.f64 x (fma.f64 x -1/3 -1/2))) x)
(-.f64 (.f64 (fma.f64 x -1/3 -1/2) (.f64 x x)) x)
(fma.f64 (-.f64 (pow.f64 (.f64 x (.f64 x (fma.f64 x -1/3 -1/2))) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (fma.f64 x (.f64 x (fma.f64 x -1/3 -1/2)) x) (.f64 (pow.f64 (fma.f64 x -1/3 -1/2) 2) (pow.f64 x 4)))) (fma.f64 (neg.f64 x) 1 x))
(.f64 (-.f64 (pow.f64 (.f64 (.f64 x x) (fma.f64 x -1/3 -1/2)) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (fma.f64 x (.f64 x (fma.f64 x -1/3 -1/2)) x) (*.f64 (pow.f64 (fma.f64 x -1/3 -1/2) 2) (pow.f64 x 4)))))
(/.f64 (-.f64 (pow.f64 (.f64 x (.f64 x (fma.f64 x -1/3 -1/2))) 3) (pow.f64 x 3)) (fma.f64 (pow.f64 (fma.f64 x -1/3 -1/2) 2) (pow.f64 x 4) (.f64 x (fma.f64 x (.f64 x (fma.f64 x -1/3 -1/2)) x))))
(/.f64 (-.f64 (pow.f64 (.f64 (fma.f64 x -1/3 -1/2) (.f64 x x)) 3) (pow.f64 x 3)) (fma.f64 (pow.f64 (fma.f64 x -1/3 -1/2) 2) (pow.f64 x 4) (fma.f64 x x (*.f64 (pow.f64 x 3) (fma.f64 x -1/3 -1/2)))))
(fma.f64 (-.f64 (pow.f64 (.f64 x (.f64 x (fma.f64 x -1/3 -1/2))) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (fma.f64 x (.f64 x (fma.f64 x -1/3 -1/2)) x) (.f64 (pow.f64 (fma.f64 x -1/3 -1/2) 2) (pow.f64 x 4)))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(.f64 (-.f64 (pow.f64 (.f64 (.f64 x x) (fma.f64 x -1/3 -1/2)) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (fma.f64 x (.f64 x (fma.f64 x -1/3 -1/2)) x) (*.f64 (pow.f64 (fma.f64 x -1/3 -1/2) 2) (pow.f64 x 4)))))
(/.f64 (-.f64 (pow.f64 (.f64 x (.f64 x (fma.f64 x -1/3 -1/2))) 3) (pow.f64 x 3)) (fma.f64 (pow.f64 (fma.f64 x -1/3 -1/2) 2) (pow.f64 x 4) (.f64 x (fma.f64 x (.f64 x (fma.f64 x -1/3 -1/2)) x))))
(/.f64 (-.f64 (pow.f64 (.f64 (fma.f64 x -1/3 -1/2) (.f64 x x)) 3) (pow.f64 x 3)) (fma.f64 (pow.f64 (fma.f64 x -1/3 -1/2) 2) (pow.f64 x 4) (fma.f64 x x (*.f64 (pow.f64 x 3) (fma.f64 x -1/3 -1/2)))))
(fma.f64 (-.f64 (pow.f64 (.f64 x (.f64 x (fma.f64 x -1/3 -1/2))) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (fma.f64 x (.f64 x (fma.f64 x -1/3 -1/2)) x) (.f64 (pow.f64 (fma.f64 x -1/3 -1/2) 2) (pow.f64 x 4)))) (+.f64 (neg.f64 x) x))
(.f64 (-.f64 (pow.f64 (.f64 (.f64 x x) (fma.f64 x -1/3 -1/2)) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (fma.f64 x (.f64 x (fma.f64 x -1/3 -1/2)) x) (*.f64 (pow.f64 (fma.f64 x -1/3 -1/2) 2) (pow.f64 x 4)))))
(/.f64 (-.f64 (pow.f64 (.f64 x (.f64 x (fma.f64 x -1/3 -1/2))) 3) (pow.f64 x 3)) (fma.f64 (pow.f64 (fma.f64 x -1/3 -1/2) 2) (pow.f64 x 4) (.f64 x (fma.f64 x (.f64 x (fma.f64 x -1/3 -1/2)) x))))
(/.f64 (-.f64 (pow.f64 (.f64 (fma.f64 x -1/3 -1/2) (.f64 x x)) 3) (pow.f64 x 3)) (fma.f64 (pow.f64 (fma.f64 x -1/3 -1/2) 2) (pow.f64 x 4) (fma.f64 x x (*.f64 (pow.f64 x 3) (fma.f64 x -1/3 -1/2)))))
(fma.f64 (-.f64 (.f64 (pow.f64 (fma.f64 x -1/3 -1/2) 2) (pow.f64 x 4)) (.f64 x x)) (/.f64 1 (fma.f64 x (*.f64 x (fma.f64 x -1/3 -1/2)) x)) (fma.f64 (neg.f64 x) 1 x))
(/.f64 1 (/.f64 (fma.f64 x (.f64 x (fma.f64 x -1/3 -1/2)) x) (fma.f64 (pow.f64 (fma.f64 x -1/3 -1/2) 2) (pow.f64 x 4) (neg.f64 (.f64 x x)))))
(/.f64 (fma.f64 (pow.f64 (fma.f64 x -1/3 -1/2) 2) (pow.f64 x 4) (neg.f64 (.f64 x x))) (fma.f64 x (.f64 x (fma.f64 x -1/3 -1/2)) x))
(/.f64 (fma.f64 (pow.f64 (fma.f64 x -1/3 -1/2) 2) (pow.f64 x 4) (.f64 x (neg.f64 x))) (.f64 x (fma.f64 x (fma.f64 x -1/3 -1/2) 1)))
(fma.f64 (-.f64 (.f64 (pow.f64 (fma.f64 x -1/3 -1/2) 2) (pow.f64 x 4)) (.f64 x x)) (/.f64 1 (fma.f64 x (*.f64 x (fma.f64 x -1/3 -1/2)) x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(/.f64 1 (/.f64 (fma.f64 x (.f64 x (fma.f64 x -1/3 -1/2)) x) (fma.f64 (pow.f64 (fma.f64 x -1/3 -1/2) 2) (pow.f64 x 4) (neg.f64 (.f64 x x)))))
(/.f64 (fma.f64 (pow.f64 (fma.f64 x -1/3 -1/2) 2) (pow.f64 x 4) (neg.f64 (.f64 x x))) (fma.f64 x (.f64 x (fma.f64 x -1/3 -1/2)) x))
(/.f64 (fma.f64 (pow.f64 (fma.f64 x -1/3 -1/2) 2) (pow.f64 x 4) (.f64 x (neg.f64 x))) (.f64 x (fma.f64 x (fma.f64 x -1/3 -1/2) 1)))
(fma.f64 (-.f64 (.f64 (pow.f64 (fma.f64 x -1/3 -1/2) 2) (pow.f64 x 4)) (.f64 x x)) (/.f64 1 (fma.f64 x (*.f64 x (fma.f64 x -1/3 -1/2)) x)) (+.f64 (neg.f64 x) x))
(/.f64 1 (/.f64 (fma.f64 x (.f64 x (fma.f64 x -1/3 -1/2)) x) (fma.f64 (pow.f64 (fma.f64 x -1/3 -1/2) 2) (pow.f64 x 4) (neg.f64 (.f64 x x)))))
(/.f64 (fma.f64 (pow.f64 (fma.f64 x -1/3 -1/2) 2) (pow.f64 x 4) (neg.f64 (.f64 x x))) (fma.f64 x (.f64 x (fma.f64 x -1/3 -1/2)) x))
(/.f64 (fma.f64 (pow.f64 (fma.f64 x -1/3 -1/2) 2) (pow.f64 x 4) (.f64 x (neg.f64 x))) (.f64 x (fma.f64 x (fma.f64 x -1/3 -1/2) 1)))
(fma.f64 (*.f64 x (fma.f64 x -1/3 -1/2)) x (neg.f64 x))
(fma.f64 x (*.f64 x -1/2) (fma.f64 -1/3 (pow.f64 x 3) (neg.f64 x)))
(-.f64 (.f64 x (.f64 x (fma.f64 x -1/3 -1/2))) x)
(-.f64 (.f64 (fma.f64 x -1/3 -1/2) (.f64 x x)) x)
(fma.f64 (.f64 x (fma.f64 x -1/3 -1/2)) x (.f64 (neg.f64 x) 1))
(fma.f64 x (*.f64 x -1/2) (fma.f64 -1/3 (pow.f64 x 3) (neg.f64 x)))
(-.f64 (.f64 x (.f64 x (fma.f64 x -1/3 -1/2))) x)
(-.f64 (.f64 (fma.f64 x -1/3 -1/2) (.f64 x x)) x)
(fma.f64 (.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (neg.f64 x)) (.f64 x (*.f64 x (fma.f64 x -1/3 -1/2))))
(fma.f64 x (*.f64 x -1/2) (fma.f64 -1/3 (pow.f64 x 3) (neg.f64 x)))
(-.f64 (.f64 x (.f64 x (fma.f64 x -1/3 -1/2))) x)
(-.f64 (.f64 (fma.f64 x -1/3 -1/2) (.f64 x x)) x)
(fma.f64 (.f64 (cbrt.f64 (.f64 x (.f64 x -1/2))) (cbrt.f64 (.f64 x (.f64 x -1/2)))) (cbrt.f64 (.f64 x (.f64 x -1/2))) (-.f64 (.f64 -1/3 (pow.f64 x 3)) x))
(fma.f64 x (*.f64 x -1/2) (fma.f64 -1/3 (pow.f64 x 3) (neg.f64 x)))
(-.f64 (.f64 x (.f64 x (fma.f64 x -1/3 -1/2))) x)
(-.f64 (.f64 (fma.f64 x -1/3 -1/2) (.f64 x x)) x)
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (.f64 x (.f64 x (fma.f64 x -1/3 -1/2))))
(fma.f64 x (*.f64 x -1/2) (fma.f64 -1/3 (pow.f64 x 3) (neg.f64 x)))
(-.f64 (.f64 x (.f64 x (fma.f64 x -1/3 -1/2))) x)
(-.f64 (.f64 (fma.f64 x -1/3 -1/2) (.f64 x x)) x)
(fma.f64 (sqrt.f64 (.f64 x (.f64 x -1/2))) (sqrt.f64 (.f64 x (.f64 x -1/2))) (-.f64 (*.f64 -1/3 (pow.f64 x 3)) x))
(fma.f64 x (*.f64 x -1/2) (fma.f64 -1/3 (pow.f64 x 3) (neg.f64 x)))
(-.f64 (.f64 x (.f64 x (fma.f64 x -1/3 -1/2))) x)
(-.f64 (.f64 (fma.f64 x -1/3 -1/2) (.f64 x x)) x)
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) (.f64 x (.f64 x (fma.f64 x -1/3 -1/2))))
(fma.f64 x (*.f64 x -1/2) (fma.f64 -1/3 (pow.f64 x 3) (neg.f64 x)))
(-.f64 (.f64 x (.f64 x (fma.f64 x -1/3 -1/2))) x)
(-.f64 (.f64 (fma.f64 x -1/3 -1/2) (.f64 x x)) x)
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 x (.f64 x (fma.f64 x -1/3 -1/2))))
(fma.f64 x (*.f64 x -1/2) (fma.f64 -1/3 (pow.f64 x 3) (neg.f64 x)))
(-.f64 (.f64 x (.f64 x (fma.f64 x -1/3 -1/2))) x)
(-.f64 (.f64 (fma.f64 x -1/3 -1/2) (.f64 x x)) x)
(fma.f64 (fma.f64 x (sqrt.f64 (fma.f64 x -1/3 -1/2)) (sqrt.f64 x)) (fma.f64 x (sqrt.f64 (fma.f64 x -1/3 -1/2)) (neg.f64 (sqrt.f64 x))) (fma.f64 (neg.f64 x) 1 x))
(fma.f64 x (*.f64 x -1/2) (fma.f64 -1/3 (pow.f64 x 3) (neg.f64 x)))
(-.f64 (.f64 x (.f64 x (fma.f64 x -1/3 -1/2))) x)
(-.f64 (.f64 (fma.f64 x -1/3 -1/2) (.f64 x x)) x)
(fma.f64 (fma.f64 x (sqrt.f64 (fma.f64 x -1/3 -1/2)) (sqrt.f64 x)) (fma.f64 x (sqrt.f64 (fma.f64 x -1/3 -1/2)) (neg.f64 (sqrt.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(fma.f64 x (*.f64 x -1/2) (fma.f64 -1/3 (pow.f64 x 3) (neg.f64 x)))
(-.f64 (.f64 x (.f64 x (fma.f64 x -1/3 -1/2))) x)
(-.f64 (.f64 (fma.f64 x -1/3 -1/2) (.f64 x x)) x)
(fma.f64 (fma.f64 x (sqrt.f64 (fma.f64 x -1/3 -1/2)) (sqrt.f64 x)) (fma.f64 x (sqrt.f64 (fma.f64 x -1/3 -1/2)) (neg.f64 (sqrt.f64 x))) (+.f64 (neg.f64 x) x))
(fma.f64 x (*.f64 x -1/2) (fma.f64 -1/3 (pow.f64 x 3) (neg.f64 x)))
(-.f64 (.f64 x (.f64 x (fma.f64 x -1/3 -1/2))) x)
(-.f64 (.f64 (fma.f64 x -1/3 -1/2) (.f64 x x)) x)
(fma.f64 (.f64 -1/2 x) x (-.f64 (.f64 -1/3 (pow.f64 x 3)) x))
(fma.f64 x (*.f64 x -1/2) (fma.f64 -1/3 (pow.f64 x 3) (neg.f64 x)))
(-.f64 (.f64 x (.f64 x (fma.f64 x -1/3 -1/2))) x)
(-.f64 (.f64 (fma.f64 x -1/3 -1/2) (.f64 x x)) x)
(fma.f64 (.f64 -1/2 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2) (-.f64 (.f64 -1/3 (pow.f64 x 3)) x))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 -1/2 (pow.f64 (cbrt.f64 x) 2)) (fma.f64 -1/3 (pow.f64 x 3) (neg.f64 x)))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 -1/2 (pow.f64 (cbrt.f64 x) 2)) (fma.f64 (pow.f64 x 3) -1/3 (neg.f64 x)))
(fma.f64 (.f64 (.f64 x x) (pow.f64 (cbrt.f64 (fma.f64 x -1/3 -1/2)) 2)) (cbrt.f64 (fma.f64 x -1/3 -1/2)) (neg.f64 x))
(fma.f64 x (*.f64 x -1/2) (fma.f64 -1/3 (pow.f64 x 3) (neg.f64 x)))
(-.f64 (.f64 x (.f64 x (fma.f64 x -1/3 -1/2))) x)
(-.f64 (.f64 (fma.f64 x -1/3 -1/2) (.f64 x x)) x)
(fma.f64 (.f64 (.f64 x x) (pow.f64 (cbrt.f64 (fma.f64 x -1/3 -1/2)) 2)) (cbrt.f64 (fma.f64 x -1/3 -1/2)) (*.f64 (neg.f64 x) 1))
(fma.f64 x (*.f64 x -1/2) (fma.f64 -1/3 (pow.f64 x 3) (neg.f64 x)))
(-.f64 (.f64 x (.f64 x (fma.f64 x -1/3 -1/2))) x)
(-.f64 (.f64 (fma.f64 x -1/3 -1/2) (.f64 x x)) x)
(fma.f64 (.f64 (.f64 x x) (sqrt.f64 (fma.f64 x -1/3 -1/2))) (sqrt.f64 (fma.f64 x -1/3 -1/2)) (neg.f64 x))
(fma.f64 x (*.f64 x -1/2) (fma.f64 -1/3 (pow.f64 x 3) (neg.f64 x)))
(-.f64 (.f64 x (.f64 x (fma.f64 x -1/3 -1/2))) x)
(-.f64 (.f64 (fma.f64 x -1/3 -1/2) (.f64 x x)) x)
(fma.f64 (.f64 (.f64 x x) (sqrt.f64 (fma.f64 x -1/3 -1/2))) (sqrt.f64 (fma.f64 x -1/3 -1/2)) (*.f64 (neg.f64 x) 1))
(fma.f64 x (*.f64 x -1/2) (fma.f64 -1/3 (pow.f64 x 3) (neg.f64 x)))
(-.f64 (.f64 x (.f64 x (fma.f64 x -1/3 -1/2))) x)
(-.f64 (.f64 (fma.f64 x -1/3 -1/2) (.f64 x x)) x)
(fma.f64 (*.f64 (fma.f64 x -1/3 -1/2) (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2) (neg.f64 x))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (fma.f64 x -1/3 -1/2) (pow.f64 (cbrt.f64 x) 2)) (neg.f64 x))
(-.f64 (.f64 (cbrt.f64 (pow.f64 x 4)) (.f64 (fma.f64 x -1/3 -1/2) (pow.f64 (cbrt.f64 x) 2))) x)
(fma.f64 (.f64 (fma.f64 x -1/3 -1/2) (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2) (.f64 (neg.f64 x) 1))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (fma.f64 x -1/3 -1/2) (pow.f64 (cbrt.f64 x) 2)) (neg.f64 x))
(-.f64 (.f64 (cbrt.f64 (pow.f64 x 4)) (.f64 (fma.f64 x -1/3 -1/2) (pow.f64 (cbrt.f64 x) 2))) x)

eval608.0ms (4.4%)

Compiler: Compiled 14508 to 10077 computations (30.5% saved)

prune109.0ms (0.8%)

Pruning

12 alts after pruning (1 fresh and 11 done)

	Pruned	Kept	Total
New	553	0	553
Fresh	0	1	1
Picked	0	1	1
Done	0	10	10
Total	553	12	565

Accurracy

100.0%

Counts

565 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	97.4%	(/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 3) (log1p.f64 x))
✓	99.9%	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
✓	7.8%	(/.f64 (log.f64 (-.f64 1 x)) (log1p.f64 x))
✓	98.9%	(-.f64 (+.f64 (.f64 x (.f64 x -1/2)) -1) x)
✓	98.4%	(-.f64 -1 x)
✓	98.9%	(+.f64 (-.f64 -1 x) (.f64 x (.f64 x -1/2)))
✓	99.7%	(*.f64 (/.f64 1 (log1p.f64 x)) (log1p.f64 (neg.f64 x)))
✓	98.3%	(.f64 (+.f64 (/.f64 1 x) 1/2) (-.f64 (.f64 (.f64 x x) (+.f64 -1/2 (.f64 x -1/3))) x))
✓	98.3%	(*.f64 (+.f64 (/.f64 1 x) 1/2) (log1p.f64 (neg.f64 x)))
✓	98.6%	(.f64 (+.f64 1/2 (+.f64 (.f64 -1/12 x) (/.f64 1 x))) (-.f64 (.f64 (.f64 x x) (+.f64 -1/2 (*.f64 x -1/3))) x))
✓	98.8%	(.f64 (+.f64 1/2 (+.f64 (.f64 -1/12 x) (/.f64 1 x))) (log1p.f64 (neg.f64 x)))
	96.7%	-1

Compiler

Compiled 124 to 93 computations (25% saved)

regimes29.0ms (0.2%)

Counts

17 → 1

Calls

Call 1

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

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

Calls

2 calls:

16.0ms	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
9.0ms	x

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))`

Compiler

Compiled 171 to 106 computations (38% saved)

regimes9.0ms (0.1%)

Counts

12 → 1

Calls

Call 1

Inputs
-1
(-.f64 -1 x)
(+.f64 (-.f64 -1 x) (.f64 x (.f64 x -1/2)))
(-.f64 (+.f64 (.f64 x (.f64 x -1/2)) -1) x)
(.f64 (+.f64 (/.f64 1 x) 1/2) (-.f64 (.f64 (.f64 x x) (+.f64 -1/2 (.f64 x -1/3))) x))
(.f64 (+.f64 1/2 (+.f64 (.f64 -1/12 x) (/.f64 1 x))) (-.f64 (.f64 (.f64 x x) (+.f64 -1/2 (*.f64 x -1/3))) x))
(/.f64 (log.f64 (-.f64 1 x)) x)
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(*.f64 (+.f64 (/.f64 1 x) 1/2) (log1p.f64 (neg.f64 x)))
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(.f64 (+.f64 1/2 (+.f64 (.f64 -1/12 x) (/.f64 1 x))) (log1p.f64 (neg.f64 x)))
(/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 -1/2 (*.f64 x -1/3))) x) (log1p.f64 x))

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
98.9%	1	`x`

Compiler

Compiled 122 to 79 computations (35.2% saved)

regimes58.0ms (0.4%)

Counts

9 → 1

Calls

Call 1

Inputs
-1
(-.f64 -1 x)
(+.f64 (-.f64 -1 x) (.f64 x (.f64 x -1/2)))
(-.f64 (+.f64 (.f64 x (.f64 x -1/2)) -1) x)
(.f64 (+.f64 (/.f64 1 x) 1/2) (-.f64 (.f64 (.f64 x x) (+.f64 -1/2 (.f64 x -1/3))) x))
(.f64 (+.f64 1/2 (+.f64 (.f64 -1/12 x) (/.f64 1 x))) (-.f64 (.f64 (.f64 x x) (+.f64 -1/2 (*.f64 x -1/3))) x))
(/.f64 (log.f64 (-.f64 1 x)) x)
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(*.f64 (+.f64 (/.f64 1 x) 1/2) (log1p.f64 (neg.f64 x)))

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
98.9%	1	`x`

Compiler

Compiled 86 to 59 computations (31.4% saved)

regimes3.0ms (0%)

Accuracy

Total -1.0b remaining (-99.3%)

Threshold costs -1b (-99.3%)

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)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	77
1	26	77
2	29	77
3	30	77

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

Compiler

Compiled 33 to 24 computations (27.3% saved)

soundness547.0ms (4%)

Rules

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

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	513	6589
1	1364	6091
2	6008	6083
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	200	3457
1	601	3063
2	2116	2757
0	9	21
1	190	21
2	2259	21
0	513	6589
1	1364	6091
2	6008	6083

Stop Event

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

Compiler

Compiled 285 to 205 computations (28.1% saved)

end94.0ms (0.7%)

Compiler: Compiled 29 to 19 computations (34.5% saved)

Details

analyze527.0ms (3.8%)

sample6.7s (49.3%)

preprocess15.0ms (0.1%)

simplify14.0ms (0.1%)

eval1.0ms (0%)

prune2.0ms (0%)

localize14.0ms (0.1%)

series5.0ms (0%)

rewrite76.0ms (0.6%)

simplify110.0ms (0.8%)

localize16.0ms (0.1%)

series1.0ms (0%)

rewrite58.0ms (0.4%)

simplify66.0ms (0.5%)

localize6.0ms (0%)

series1.0ms (0%)

rewrite60.0ms (0.4%)

simplify63.0ms (0.5%)

eval251.0ms (1.8%)

prune70.0ms (0.5%)

localize9.0ms (0.1%)

series3.0ms (0%)

rewrite55.0ms (0.4%)

simplify72.0ms (0.5%)

localize5.0ms (0%)

localize7.0ms (0.1%)

series1.0ms (0%)

rewrite53.0ms (0.4%)

simplify61.0ms (0.4%)

localize8.0ms (0.1%)

series1.0ms (0%)

rewrite57.0ms (0.4%)

simplify52.0ms (0.4%)

localize9.0ms (0.1%)

series1.0ms (0%)

rewrite59.0ms (0.4%)

simplify58.0ms (0.4%)

eval174.0ms (1.3%)

prune61.0ms (0.4%)

localize9.0ms (0.1%)

series0.0ms (0%)

rewrite65.0ms (0.5%)

simplify75.0ms (0.5%)

localize12.0ms (0.1%)

series0.0ms (0%)

rewrite71.0ms (0.5%)

simplify114.0ms (0.8%)

localize11.0ms (0.1%)

series1.0ms (0%)

rewrite55.0ms (0.4%)

simplify60.0ms (0.4%)

localize18.0ms (0.1%)

series3.0ms (0%)

rewrite86.0ms (0.6%)

simplify94.0ms (0.7%)

localize11.0ms (0.1%)

series20.0ms (0.1%)

rewrite138.0ms (1%)

simplify351.0ms (2.6%)

eval733.0ms (5.4%)

prune842.0ms (6.1%)

localize29.0ms (0.2%)

series3.0ms (0%)

rewrite129.0ms (0.9%)

simplify131.0ms (1%)

localize22.0ms (0.2%)

series1.0ms (0%)

rewrite131.0ms (1%)

simplify164.0ms (1.2%)

eval608.0ms (4.4%)

prune109.0ms (0.8%)

regimes29.0ms (0.2%)

regimes9.0ms (0.1%)

regimes58.0ms (0.4%)

regimes3.0ms (0%)

simplify10.0ms (0.1%)

soundness547.0ms (4%)

end94.0ms (0.7%)

Profiling