Details

analyze89.0ms (1.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
25%	25%	75%	0%	0%	0%	0%	3
50%	50%	50%	0%	0%	0%	0%	4
62.5%	62.5%	37.5%	0%	0%	0%	0%	5
68.8%	68.7%	31.2%	0%	0%	0%	0%	6
71.9%	71.8%	28.1%	0%	0%	0%	0%	7
73.4%	73.4%	26.5%	0%	0%	0%	0%	8
74.2%	74.2%	25.8%	0%	0%	0%	0%	9
74.6%	74.6%	25.4%	0%	0%	0%	0%	10
74.8%	74.8%	25.2%	0%	0%	0%	0%	11
74.9%	74.9%	25.1%	0%	0%	0%	0%	12

Compiler

Compiled 11 to 8 computations (27.3% saved)

sample3.3s (41.2%)

Results

1.6s	2579×	body	1024	valid
762.0ms	1197×	body	2048	valid
525.0ms	1262×	body	512	valid
388.0ms	3167×	body	256	valid
35.0ms	51×	body	4096	valid

Bogosity

preprocess13.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

4×	`+-commutative`
2×	`1-exp`
2×	`hypot-1-def`
2×	`fma-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	16	17
2	17	17
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))

Outputs
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x 1))))
(log.f64 (+.f64 x (hypot.f64 1 x)))

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify40.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative`
2×	`1-exp`
2×	`hypot-1-def`
2×	`fma-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	16	17
2	17	17

Stop Event

1×

saturated

Counts

1 → 3

Calls

Call 1

Inputs
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))

Outputs
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x 1))))
(log.f64 (+.f64 x (hypot.f64 1 x)))

eval1.0ms (0%)

Compiler: Compiled 24 to 16 computations (33.3% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Accurracy

28.3%

Counts

4 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	28.3%	(log.f64 (+.f64 x (hypot.f64 1 x)))

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize7.0ms (0.1%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	99.5%	(+.f64 x (hypot.f64 1 x))
✓	96.1%	(log.f64 (+.f64 x (hypot.f64 1 x)))

Compiler

Compiled 17 to 11 computations (35.3% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite63.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1590×	`pow1`
1466×	`add-exp-log`
1466×	`log1p-expm1-u`
1466×	`expm1-log1p-u`
1432×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	30
1	158	30
2	1999	30

Stop Event

1×	node limit

Counts

2 → 56

Calls

Call 1

Inputs
(log.f64 (+.f64 x (hypot.f64 1 x)))
(+.f64 x (hypot.f64 1 x))

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

simplify88.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1522×	`fma-def`
1096×	`fma-neg`
724×	`unswap-sqr`
698×	`log-prod`
450×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	214	2548
1	548	2180
2	1710	2040
3	6610	2040

Stop Event

1×	node limit

Counts

80 → 136

Calls

Call 1

Inputs
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
1
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/8 (pow.f64 x 4)) x)))
(*.f64 2 x)
(+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 2 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 2 x) (.f64 1/16 (/.f64 1 (pow.f64 x 5))))) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(/.f64 -1/2 x)
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 5/128 (/.f64 1 (pow.f64 x 7)))) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (.f64 1/2 (/.f64 1 x))))
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(-.f64 (log.f64 (-.f64 (.f64 x x) (+.f64 1 (.f64 x x)))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(*.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))
(-.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) 1)
(-.f64 (/.f64 (.f64 x x) (-.f64 x (hypot.f64 1 x))) (/.f64 (+.f64 1 (.f64 x x)) (-.f64 x (hypot.f64 1 x))))
(*.f64 1 (+.f64 x (hypot.f64 1 x)))
(*.f64 (+.f64 x (hypot.f64 1 x)) 1)
(*.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(.f64 (-.f64 (.f64 x x) (+.f64 1 (*.f64 x x))) (/.f64 1 (-.f64 x (hypot.f64 1 x))))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))))
(/.f64 1 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (.f64 x x) (+.f64 1 (.f64 x x)))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (+.f64 (+.f64 1 (.f64 x x)) (-.f64 (.f64 x x) (*.f64 x (hypot.f64 1 x)))))
(/.f64 (-.f64 (.f64 x x) (+.f64 1 (.f64 x x))) (-.f64 x (hypot.f64 1 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (neg.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (+.f64 1 (.f64 x x)))) (neg.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (-.f64 (+.f64 1 (.f64 x x)) (.f64 x x)) (-.f64 (hypot.f64 1 x) x))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 1)
(pow.f64 (E.f64) (log.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 3)
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))
(log.f64 (exp.f64 (+.f64 x (hypot.f64 1 x))))
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x))))
(exp.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 1 x))))
(fma.f64 1 x (hypot.f64 1 x))
(fma.f64 1 (hypot.f64 1 x) x)
(fma.f64 (cbrt.f64 (+.f64 1 (*.f64 x x))) (cbrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (hypot.f64 1 x))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 1 x))

Outputs
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))
(+.f64 (log.f64 2) (log.f64 x))
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(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (hypot.f64 1 x))
(+.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x)
(+.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 1 x))
(+.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))

eval69.0ms (0.9%)

Compiler: Compiled 1915 to 1409 computations (26.4% saved)

prune22.0ms (0.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	129	7	136
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	129	8	137

Accurracy

100.0%

Counts

137 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.2%	(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
▶	25.5%	(log.f64 (/.f64 -1/2 x))
▶	30.4%	(log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))
▶	24.7%	(log.f64 (+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x))))
✓	28.3%	(log.f64 (+.f64 x (hypot.f64 1 x)))
▶	23.7%	(log.f64 (+.f64 x x))
	28.2%	(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
	53.6%	x

Compiler

Compiled 105 to 80 computations (23.8% saved)

localize16.0ms (0.2%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	99.8%	(*.f64 -1/6 (pow.f64 x 3))

Compiler

Compiled 19 to 14 computations (26.3% saved)

series1.0ms (0%)

Counts

1 → 0

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(*.f64 -1/6 (pow.f64 x 3))
0.0ms	x	@	-inf	(*.f64 -1/6 (pow.f64 x 3))
0.0ms	x	@	inf	(*.f64 -1/6 (pow.f64 x 3))

rewrite60.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1204×	`pow1`
1128×	`add-exp-log`
1128×	`log1p-expm1-u`
1128×	`expm1-log1p-u`
1104×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	149	13
2	1573	13

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(*.f64 -1/6 (pow.f64 x 3))

Outputs
(-.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) 1)
(pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)
(pow.f64 (*.f64 x (cbrt.f64 -1/6)) 3)
(pow.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3) 1/3)
(pow.f64 (*.f64 (sqrt.f64 -1/6) (pow.f64 x 3/2)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/36))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6))
(cbrt.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3))
(expm1.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3))))
(exp.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3))))
(log1p.f64 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3))))

simplify61.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

2268×	`log-prod`
940×	`exp-sum`
820×	`distribute-rgt-in`
818×	`distribute-lft-in`
650×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	39	275
1	99	209
2	314	143
3	1863	143
4	5899	143

Stop Event

1×	node limit

Counts

11 → 14

Calls

Call 1

Inputs
(-.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) 1)
(pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)
(pow.f64 (*.f64 x (cbrt.f64 -1/6)) 3)
(pow.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3) 1/3)
(pow.f64 (*.f64 (sqrt.f64 -1/6) (pow.f64 x 3/2)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/36))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6))
(cbrt.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3))
(expm1.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3))))
(exp.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3))))
(log1p.f64 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3))))

Outputs
(-.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) 1)
(+.f64 1 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) 1))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) 0)
(*.f64 -1/6 (pow.f64 x 3))
(pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)
(+.f64 1 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) 1))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) 0)
(*.f64 -1/6 (pow.f64 x 3))
(pow.f64 (*.f64 x (cbrt.f64 -1/6)) 3)
(+.f64 1 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) 1))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) 0)
(*.f64 -1/6 (pow.f64 x 3))
(pow.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3) 1/3)
(+.f64 1 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) 1))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) 0)
(*.f64 -1/6 (pow.f64 x 3))
(pow.f64 (*.f64 (sqrt.f64 -1/6) (pow.f64 x 3/2)) 2)
(+.f64 1 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) 1))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) 0)
(*.f64 -1/6 (pow.f64 x 3))
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/36))
(+.f64 1 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) 1))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) 0)
(*.f64 -1/6 (pow.f64 x 3))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6))
(+.f64 1 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) 1))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) 0)
(*.f64 -1/6 (pow.f64 x 3))
(cbrt.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3))
(+.f64 1 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) 1))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) 0)
(*.f64 -1/6 (pow.f64 x 3))
(expm1.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3))))
(+.f64 1 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) 1))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) 0)
(*.f64 -1/6 (pow.f64 x 3))
(exp.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3))))
(+.f64 1 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) 1))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) 0)
(*.f64 -1/6 (pow.f64 x 3))
(log1p.f64 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3))))
(+.f64 1 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) 1))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) 0)
(*.f64 -1/6 (pow.f64 x 3))

localize4.0ms (0.1%)

Compiler: Compiled 9 to 3 computations (66.7% saved)

localize5.0ms (0.1%)

Local Accuracy

Found 1 expressions with local accuracy:

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

Compiler

Compiled 10 to 7 computations (30% saved)

series50.0ms (0.6%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
25.0ms	x	@	0	(log.f64 (/.f64 -1/2 x))
19.0ms	x	@	-inf	(log.f64 (/.f64 -1/2 x))
6.0ms	x	@	inf	(log.f64 (/.f64 -1/2 x))

rewrite68.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1296×	`pow1`
1198×	`add-exp-log`
1196×	`log1p-expm1-u`
1196×	`expm1-log1p-u`
1170×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	142	11
2	1645	11

Stop Event

1×	node limit

Counts

1 → 25

Calls

Call 1

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

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

simplify62.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1186×	`fma-neg`
742×	`log-prod`
602×	`associate-r`
538×	`associate-l`
530×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	84	571
1	168	571
2	557	571
3	3329	571
4	6204	571

Stop Event

1×	node limit

Counts

37 → 35

Calls

Call 1

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

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

localize28.0ms (0.3%)

Compiler: Compiled 35 to 27 computations (22.9% saved)

localize16.0ms (0.2%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
✓	98.8%	(-.f64 x (hypot.f64 1 x))
✓	96.1%	(log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))

Compiler

Compiled 27 to 19 computations (29.6% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite111.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1208×	`unpow-prod-down`
868×	`log-prod`
752×	`prod-diff`
522×	`pow-prod-down`
446×	`pow-prod-up`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	55
1	204	55
2	2509	55

Stop Event

1×	node limit

Counts

3 → 240

Calls

Call 1

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

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

simplify165.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

970×	`fma-neg`
818×	`log-prod`
712×	`exp-prod`
502×	`sqr-pow`
440×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	632	10286
1	1568	9862
2	4902	9308

Stop Event

1×	node limit

Counts

276 → 385

Calls

Call 1

Inputs
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
-1
(-.f64 x 1)
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) x) 1)
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(exp.f64 (.f64 (.f64 (log.f64 (-.f64 x (hypot.f64 1 x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 x (hypot.f64 1 x)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (-.f64 x (hypot.f64 1 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 x (hypot.f64 1 x)))) 2))
(log1p.f64 (expm1.f64 (-.f64 x (hypot.f64 1 x))))
(fma.f64 -1 (hypot.f64 1 x) x)
(fma.f64 x 1 (neg.f64 (hypot.f64 1 x)))
(fma.f64 x 1 (*.f64 (neg.f64 (hypot.f64 1 x)) 1))
(fma.f64 1 x (neg.f64 (hypot.f64 1 x)))
(fma.f64 1 x (*.f64 (neg.f64 (hypot.f64 1 x)) 1))
(fma.f64 1 (-.f64 x (hypot.f64 1 x)) (fma.f64 (neg.f64 (hypot.f64 1 x)) 1 (hypot.f64 1 x)))
(fma.f64 1 (-.f64 x (hypot.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 1 x))) (cbrt.f64 (fma.f64 x x 1)) (hypot.f64 1 x)))
(fma.f64 1 (-.f64 x (hypot.f64 1 x)) (+.f64 (neg.f64 (hypot.f64 1 x)) (hypot.f64 1 x)))
(fma.f64 1 (neg.f64 (hypot.f64 1 x)) x)
(fma.f64 (-.f64 x (hypot.f64 1 x)) 1 (fma.f64 (neg.f64 (hypot.f64 1 x)) 1 (hypot.f64 1 x)))
(fma.f64 (-.f64 x (hypot.f64 1 x)) 1 (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 1 x))) (cbrt.f64 (fma.f64 x x 1)) (hypot.f64 1 x)))
(fma.f64 (-.f64 x (hypot.f64 1 x)) 1 (+.f64 (neg.f64 (hypot.f64 1 x)) (hypot.f64 1 x)))
(fma.f64 (cbrt.f64 (-.f64 x (hypot.f64 1 x))) (cbrt.f64 (pow.f64 (-.f64 x (hypot.f64 1 x)) 2)) (fma.f64 (neg.f64 (hypot.f64 1 x)) 1 (hypot.f64 1 x)))
(fma.f64 (cbrt.f64 (-.f64 x (hypot.f64 1 x))) (cbrt.f64 (pow.f64 (-.f64 x (hypot.f64 1 x)) 2)) (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 1 x))) (cbrt.f64 (fma.f64 x x 1)) (hypot.f64 1 x)))
(fma.f64 (cbrt.f64 (-.f64 x (hypot.f64 1 x))) (cbrt.f64 (pow.f64 (-.f64 x (hypot.f64 1 x)) 2)) (+.f64 (neg.f64 (hypot.f64 1 x)) (hypot.f64 1 x)))
(fma.f64 (cbrt.f64 (pow.f64 (-.f64 x (hypot.f64 1 x)) 2)) (cbrt.f64 (-.f64 x (hypot.f64 1 x))) (fma.f64 (neg.f64 (hypot.f64 1 x)) 1 (hypot.f64 1 x)))
(fma.f64 (cbrt.f64 (pow.f64 (-.f64 x (hypot.f64 1 x)) 2)) (cbrt.f64 (-.f64 x (hypot.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 1 x))) (cbrt.f64 (fma.f64 x x 1)) (hypot.f64 1 x)))
(fma.f64 (cbrt.f64 (pow.f64 (-.f64 x (hypot.f64 1 x)) 2)) (cbrt.f64 (-.f64 x (hypot.f64 1 x))) (+.f64 (neg.f64 (hypot.f64 1 x)) (hypot.f64 1 x)))
(fma.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x x)) (neg.f64 (hypot.f64 1 x)))
(fma.f64 (cbrt.f64 x) (cbrt.f64 (.f64 x x)) (.f64 (neg.f64 (hypot.f64 1 x)) 1))
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (neg.f64 (hypot.f64 1 x)))
(fma.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 x) (.f64 (neg.f64 (hypot.f64 1 x)) 1))
(fma.f64 (cbrt.f64 (fma.f64 x x 1)) (neg.f64 (cbrt.f64 (hypot.f64 1 x))) x)
(fma.f64 (sqrt.f64 (-.f64 x (hypot.f64 1 x))) (sqrt.f64 (-.f64 x (hypot.f64 1 x))) (fma.f64 (neg.f64 (hypot.f64 1 x)) 1 (hypot.f64 1 x)))
(fma.f64 (sqrt.f64 (-.f64 x (hypot.f64 1 x))) (sqrt.f64 (-.f64 x (hypot.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 1 x))) (cbrt.f64 (fma.f64 x x 1)) (hypot.f64 1 x)))
(fma.f64 (sqrt.f64 (-.f64 x (hypot.f64 1 x))) (sqrt.f64 (-.f64 x (hypot.f64 1 x))) (+.f64 (neg.f64 (hypot.f64 1 x)) (hypot.f64 1 x)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (hypot.f64 1 x)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (neg.f64 (hypot.f64 1 x)) 1))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (neg.f64 (sqrt.f64 (hypot.f64 1 x))) x)
(fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 x x (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1)))) (fma.f64 (neg.f64 (hypot.f64 1 x)) 1 (hypot.f64 1 x)))
(fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 x x (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1)))) (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 1 x))) (cbrt.f64 (fma.f64 x x 1)) (hypot.f64 1 x)))
(fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 x x (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1)))) (+.f64 (neg.f64 (hypot.f64 1 x)) (hypot.f64 1 x)))
(fma.f64 (-.f64 (*.f64 x x) (fma.f64 x x 1)) (/.f64 1 (+.f64 x (hypot.f64 1 x))) (fma.f64 (neg.f64 (hypot.f64 1 x)) 1 (hypot.f64 1 x)))
(fma.f64 (-.f64 (*.f64 x x) (fma.f64 x x 1)) (/.f64 1 (+.f64 x (hypot.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 1 x))) (cbrt.f64 (fma.f64 x x 1)) (hypot.f64 1 x)))
(fma.f64 (-.f64 (*.f64 x x) (fma.f64 x x 1)) (/.f64 1 (+.f64 x (hypot.f64 1 x))) (+.f64 (neg.f64 (hypot.f64 1 x)) (hypot.f64 1 x)))
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (hypot.f64 1 x))) 2) (cbrt.f64 (neg.f64 (hypot.f64 1 x))) x)
(fma.f64 (sqrt.f64 (neg.f64 (hypot.f64 1 x))) (sqrt.f64 (neg.f64 (hypot.f64 1 x))) x)
(fma.f64 (neg.f64 (sqrt.f64 (hypot.f64 1 x))) (sqrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (hypot.f64 1 x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (hypot.f64 1 x))) (fma.f64 (neg.f64 (hypot.f64 1 x)) 1 (hypot.f64 1 x)))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (hypot.f64 1 x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (hypot.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 1 x))) (cbrt.f64 (fma.f64 x x 1)) (hypot.f64 1 x)))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (hypot.f64 1 x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (hypot.f64 1 x))) (+.f64 (neg.f64 (hypot.f64 1 x)) (hypot.f64 1 x)))
(fma.f64 (neg.f64 (cbrt.f64 (fma.f64 x x 1))) (cbrt.f64 (hypot.f64 1 x)) x)
(+.f64 0 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))) 1)
(*.f64 -1 (/.f64 1 (-.f64 x (hypot.f64 1 x))))
(*.f64 -1 (pow.f64 (cbrt.f64 (/.f64 1 (-.f64 x (hypot.f64 1 x)))) 3))
(*.f64 1 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))
(*.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))) 1)
(*.f64 (cbrt.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))) (cbrt.f64 (pow.f64 (-.f64 x (hypot.f64 1 x)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 x (hypot.f64 1 x)) -2)) (cbrt.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))))
(*.f64 (pow.f64 (neg.f64 (-.f64 x (hypot.f64 1 x))) -1/2) (pow.f64 (neg.f64 (-.f64 x (hypot.f64 1 x))) -1/2))
(*.f64 (/.f64 1 (-.f64 x (hypot.f64 1 x))) -1)
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x (hypot.f64 1 x))) -2) (pow.f64 (neg.f64 (cbrt.f64 (-.f64 x (hypot.f64 1 x)))) -1))
(*.f64 (pow.f64 (-.f64 x (hypot.f64 1 x)) -1/2) (pow.f64 (neg.f64 (sqrt.f64 (-.f64 x (hypot.f64 1 x)))) -1))
(*.f64 (/.f64 -1 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (fma.f64 x x (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1))))
(.f64 (/.f64 -1 (-.f64 (.f64 x x) (fma.f64 x x 1))) (+.f64 x (hypot.f64 1 x)))
(*.f64 (pow.f64 (E.f64) (log.f64 -1)) (pow.f64 (E.f64) (neg.f64 (log.f64 (-.f64 x (hypot.f64 1 x))))))
(*.f64 (pow.f64 (E.f64) (log.f64 (cbrt.f64 (pow.f64 (-.f64 x (hypot.f64 1 x)) -2)))) (pow.f64 (E.f64) (log.f64 (cbrt.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))))))
(*.f64 (pow.f64 (E.f64) (log.f64 (pow.f64 (neg.f64 (-.f64 x (hypot.f64 1 x))) -1/2))) (pow.f64 (E.f64) (log.f64 (pow.f64 (neg.f64 (-.f64 x (hypot.f64 1 x))) -1/2))))
(*.f64 (pow.f64 1 1/3) (/.f64 -1 (-.f64 x (hypot.f64 1 x))))
(*.f64 (pow.f64 (/.f64 -1 (-.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) 1) (fma.f64 x x (fma.f64 x (hypot.f64 1 x) (fma.f64 x x 1))))
(.f64 (pow.f64 (/.f64 -1 (-.f64 (.f64 x x) (fma.f64 x x 1))) 1) (+.f64 x (hypot.f64 1 x)))
(*.f64 (pow.f64 1 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))) (/.f64 -1 (-.f64 x (hypot.f64 1 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (E.f64)) 2) (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))) (pow.f64 (cbrt.f64 (E.f64)) (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))))
(*.f64 (pow.f64 (sqrt.f64 (E.f64)) (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))) (pow.f64 (sqrt.f64 (E.f64)) (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))) 2) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))) 3))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 x (hypot.f64 1 x)) -2))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))) 3))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (neg.f64 (-.f64 x (hypot.f64 1 x))) -1/2)) 3) (pow.f64 (cbrt.f64 (pow.f64 (neg.f64 (-.f64 x (hypot.f64 1 x))) -1/2)) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (neg.f64 (-.f64 x (hypot.f64 1 x))) -3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (neg.f64 (-.f64 x (hypot.f64 1 x))) -3)) 1/3))
(.f64 (pow.f64 (.f64 (pow.f64 (-.f64 x (hypot.f64 1 x)) -2) -1) 1/3) (cbrt.f64 (/.f64 1 (-.f64 x (hypot.f64 1 x)))))
(.f64 (pow.f64 (.f64 (pow.f64 (-.f64 x (hypot.f64 1 x)) -2) (cbrt.f64 (pow.f64 (-.f64 x (hypot.f64 1 x)) -2))) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))))
(*.f64 (pow.f64 (pow.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))) 5/2) 1/3) (cbrt.f64 (pow.f64 (neg.f64 (-.f64 x (hypot.f64 1 x))) -1/2)))
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (/.f64 1 (-.f64 x (hypot.f64 1 x))))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (-.f64 x (hypot.f64 1 x)))) -1) (pow.f64 (-.f64 x (hypot.f64 1 x)) -1/2))
(*.f64 (pow.f64 (neg.f64 (cbrt.f64 (pow.f64 (-.f64 x (hypot.f64 1 x)) 2))) -1) (pow.f64 (cbrt.f64 (-.f64 x (hypot.f64 1 x))) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (neg.f64 (-.f64 x (hypot.f64 1 x)))) 2) -1) (cbrt.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))))
(pow.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))) 1)
(pow.f64 (E.f64) (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))))
(pow.f64 (cbrt.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))) 3)
(pow.f64 (pow.f64 (-.f64 x (hypot.f64 1 x)) -2) 1/2)
(pow.f64 (pow.f64 (neg.f64 (-.f64 x (hypot.f64 1 x))) -3) 1/3)
(pow.f64 (pow.f64 (neg.f64 (-.f64 x (hypot.f64 1 x))) -1/2) 2)
(pow.f64 (neg.f64 (-.f64 x (hypot.f64 1 x))) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))) 2)) (cbrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))) 2)) (*.f64 (cbrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))) 1))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))))) (*.f64 (sqrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))) 1))
(pow.f64 (pow.f64 (E.f64) (cbrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))) 2))
(pow.f64 (pow.f64 (E.f64) (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))) 2)) (cbrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (E.f64) (sqrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))) 2)) 1) (cbrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))) 2))) (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))))) (cbrt.f64 (sqrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))) 2)) (sqrt.f64 (cbrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))))) (sqrt.f64 (cbrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))))) 1) (sqrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))))) (cbrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))))) (cbrt.f64 (sqrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))) 2))) (sqrt.f64 (cbrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (sqrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))))) (sqrt.f64 (sqrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))))))
(neg.f64 (/.f64 1 (-.f64 x (hypot.f64 1 x))))
(sqrt.f64 (pow.f64 (-.f64 x (hypot.f64 1 x)) -2))
(log.f64 (exp.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))))
(log.f64 (/.f64 1 (exp.f64 (/.f64 1 (-.f64 x (hypot.f64 1 x))))))
(cbrt.f64 (pow.f64 (neg.f64 (-.f64 x (hypot.f64 1 x))) -3))
(expm1.f64 (log1p.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))))
(exp.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (neg.f64 (-.f64 x (hypot.f64 1 x))) -3)) 1/3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (neg.f64 (-.f64 x (hypot.f64 1 x))) -1/2)) 2))
(exp.f64 (*.f64 (log.f64 (neg.f64 (-.f64 x (hypot.f64 1 x)))) -1))
(log1p.f64 (expm1.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))))

Outputs
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
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(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))))) (cbrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))))) (cbrt.f64 (sqrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))) (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))) (cbrt.f64 (sqrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))) 2))) (sqrt.f64 (cbrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))))) (fabs.f64 (cbrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))))) (sqrt.f64 (cbrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))) (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))) (sqrt.f64 (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (sqrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))))) (sqrt.f64 (sqrt.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))) (sqrt.f64 (sqrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))) (sqrt.f64 (sqrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))))
(neg.f64 (/.f64 1 (-.f64 x (hypot.f64 1 x))))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(sqrt.f64 (pow.f64 (-.f64 x (hypot.f64 1 x)) -2))
(/.f64 -1 (-.f64 (hypot.f64 1 x) x))
(log.f64 (exp.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(log.f64 (/.f64 1 (exp.f64 (/.f64 1 (-.f64 x (hypot.f64 1 x))))))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(cbrt.f64 (pow.f64 (neg.f64 (-.f64 x (hypot.f64 1 x))) -3))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(expm1.f64 (log1p.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(exp.f64 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))) 3))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (neg.f64 (-.f64 x (hypot.f64 1 x))) -3)) 1/3))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (neg.f64 (-.f64 x (hypot.f64 1 x))) -1/2)) 2))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(exp.f64 (*.f64 (log.f64 (neg.f64 (-.f64 x (hypot.f64 1 x)))) -1))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(log1p.f64 (expm1.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))

eval190.0ms (2.4%)

Compiler: Compiled 7615 to 5909 computations (22.4% saved)

prune97.0ms (1.2%)

Pruning

11 alts after pruning (6 fresh and 5 done)

	Pruned	Kept	Total
New	429	5	434
Fresh	1	1	2
Picked	1	0	1
Done	0	5	5
Total	431	11	442

Accurracy

100.0%

Counts

442 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.2%	(+.f64 (-.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) 1) x)
✓	51.2%	(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
▶	30.4%	(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
▶	25.5%	(neg.f64 (log.f64 (*.f64 x -2)))
▶	1.0%	(log1p.f64 (-.f64 (/.f64 -1/2 x) 1))
✓	25.5%	(log.f64 (/.f64 -1/2 x))
▶	26.3%	(log.f64 (/.f64 -1 (+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))))
✓	24.7%	(log.f64 (+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x))))
✓	28.3%	(log.f64 (+.f64 x (hypot.f64 1 x)))
✓	23.7%	(log.f64 (+.f64 x x))
	53.6%	x

Compiler

Compiled 130 to 104 computations (20% saved)

localize16.0ms (0.2%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
	99.8%	(*.f64 -1/6 (pow.f64 x 3))
✓	98.6%	(-.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) 1)

Compiler

Compiled 40 to 33 computations (17.5% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(-.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) 1)
0.0ms	x	@	0	(-.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) 1)
0.0ms	x	@	-inf	(-.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) 1)

rewrite61.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1952×	`pow1`
1836×	`add-exp-log`
1834×	`log1p-expm1-u`
1834×	`expm1-log1p-u`
216×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	224	13
2	2804	13

Stop Event

1×	node limit

Counts

1 → 46

Calls

Call 1

Inputs
(-.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) 1)

Outputs
(+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) -1))
(+.f64 1 (*.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) 1))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) 0)
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) -1)
(+.f64 -1 (fma.f64 -1/6 (pow.f64 x 3) 1))
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) 1)
(.f64 1 (.f64 -1/6 (pow.f64 x 3)))
(*.f64 -1/6 (pow.f64 x 3))
(.f64 x (.f64 (*.f64 x x) -1/6))
(*.f64 (pow.f64 x 3) -1/6)
(.f64 (.f64 -1/6 (pow.f64 x 3)) 1)
(.f64 (.f64 x (cbrt.f64 -1/6)) (cbrt.f64 (*.f64 (pow.f64 x 6) 1/36)))
(.f64 (cbrt.f64 (.f64 (pow.f64 x 6) 1/36)) (*.f64 x (cbrt.f64 -1/6)))
(.f64 (.f64 x x) (*.f64 x -1/6))
(.f64 (.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)))
(.f64 (pow.f64 x 3/2) (.f64 (pow.f64 x 3/2) -1/6))
(.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) (+.f64 (.f64 -1/6 (pow.f64 x 3)) 2))))
(.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) -1) (/.f64 1 (+.f64 (.f64 -1/6 (pow.f64 x 3)) 2)))
(*.f64 (+.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) 1) (-.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) 1))
(.f64 (.f64 -1/6 x) (*.f64 x x))
(.f64 (.f64 -1/6 (*.f64 x x)) x)
(.f64 (.f64 -1/6 (pow.f64 x 3/2)) (pow.f64 x 3/2))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) 2)) (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3) -1)))
(/.f64 1 (/.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) 2) (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) -1)))
(/.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) 2)))
(/.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) (-.f64 1 (*.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) -1))))
(/.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) -1) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) 2))
(/.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) -1) (-.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) -1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) -1)) (neg.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) 2)))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) 3)) (+.f64 1 (-.f64 (*.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) (fma.f64 -1/6 (pow.f64 x 3) -1)) (fma.f64 -1/6 (pow.f64 x 3) -1))))
(/.f64 (-.f64 1 (*.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) (fma.f64 -1/6 (pow.f64 x 3) -1))) (-.f64 1 (fma.f64 -1/6 (pow.f64 x 3) -1)))
(pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)
(pow.f64 (*.f64 x (cbrt.f64 -1/6)) 3)
(pow.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216) 1/3)
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/36))
(log.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 x 3)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216))
(expm1.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3))))
(exp.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3))))
(exp.f64 (.f64 (log.f64 (.f64 -1/6 (pow.f64 x 3))) 1))
(log1p.f64 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3))))
(fma.f64 1 (fma.f64 -1/6 (pow.f64 x 3) 1) -1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) 2) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) -1)
(fma.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) -1)

simplify75.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

984×	`distribute-lft-neg-in`
928×	`div-sub`
922×	`associate-r`
920×	`fma-def`
856×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	119	1282
1	280	1238
2	846	1226
3	5068	1226

Stop Event

1×	node limit

Counts

58 → 56

Calls

Call 1

Inputs
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) -1))
(+.f64 1 (*.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) 1))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) 0)
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) -1)
(+.f64 -1 (fma.f64 -1/6 (pow.f64 x 3) 1))
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) 1)
(.f64 1 (.f64 -1/6 (pow.f64 x 3)))
(*.f64 -1/6 (pow.f64 x 3))
(.f64 x (.f64 (*.f64 x x) -1/6))
(*.f64 (pow.f64 x 3) -1/6)
(.f64 (.f64 -1/6 (pow.f64 x 3)) 1)
(.f64 (.f64 x (cbrt.f64 -1/6)) (cbrt.f64 (*.f64 (pow.f64 x 6) 1/36)))
(.f64 (cbrt.f64 (.f64 (pow.f64 x 6) 1/36)) (*.f64 x (cbrt.f64 -1/6)))
(.f64 (.f64 x x) (*.f64 x -1/6))
(.f64 (.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)))
(.f64 (pow.f64 x 3/2) (.f64 (pow.f64 x 3/2) -1/6))
(.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) (+.f64 (.f64 -1/6 (pow.f64 x 3)) 2))))
(.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) -1) (/.f64 1 (+.f64 (.f64 -1/6 (pow.f64 x 3)) 2)))
(*.f64 (+.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) 1) (-.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) 1))
(.f64 (.f64 -1/6 x) (*.f64 x x))
(.f64 (.f64 -1/6 (*.f64 x x)) x)
(.f64 (.f64 -1/6 (pow.f64 x 3/2)) (pow.f64 x 3/2))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) 2)) (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3) -1)))
(/.f64 1 (/.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) 2) (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) -1)))
(/.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) 2)))
(/.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) (-.f64 1 (*.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) -1))))
(/.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) -1) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) 2))
(/.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) -1) (-.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) -1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) -1)) (neg.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) 2)))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) 3)) (+.f64 1 (-.f64 (*.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) (fma.f64 -1/6 (pow.f64 x 3) -1)) (fma.f64 -1/6 (pow.f64 x 3) -1))))
(/.f64 (-.f64 1 (*.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) (fma.f64 -1/6 (pow.f64 x 3) -1))) (-.f64 1 (fma.f64 -1/6 (pow.f64 x 3) -1)))
(pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)
(pow.f64 (*.f64 x (cbrt.f64 -1/6)) 3)
(pow.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216) 1/3)
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/36))
(log.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 x 3)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216))
(expm1.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3))))
(exp.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3))))
(exp.f64 (.f64 (log.f64 (.f64 -1/6 (pow.f64 x 3))) 1))
(log1p.f64 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3))))
(fma.f64 1 (fma.f64 -1/6 (pow.f64 x 3) 1) -1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) 2) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) -1)
(fma.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) -1)

Outputs
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) -1))
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 1 (*.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) 1))
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) 0)
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) -1)
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 -1 (fma.f64 -1/6 (pow.f64 x 3) 1))
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) 1)
(*.f64 -1/6 (pow.f64 x 3))
(.f64 1 (.f64 -1/6 (pow.f64 x 3)))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(.f64 x (.f64 (*.f64 x x) -1/6))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -1/6)
(*.f64 -1/6 (pow.f64 x 3))
(.f64 (.f64 -1/6 (pow.f64 x 3)) 1)
(*.f64 -1/6 (pow.f64 x 3))
(.f64 (.f64 x (cbrt.f64 -1/6)) (cbrt.f64 (*.f64 (pow.f64 x 6) 1/36)))
(.f64 x (.f64 (cbrt.f64 -1/6) (cbrt.f64 (*.f64 1/36 (pow.f64 x 6)))))
(.f64 (cbrt.f64 (.f64 (pow.f64 x 6) 1/36)) (*.f64 x (cbrt.f64 -1/6)))
(.f64 x (.f64 (cbrt.f64 -1/6) (cbrt.f64 (*.f64 1/36 (pow.f64 x 6)))))
(.f64 (.f64 x x) (*.f64 x -1/6))
(*.f64 -1/6 (pow.f64 x 3))
(.f64 (.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)))
(*.f64 -1/6 (pow.f64 x 3))
(.f64 (pow.f64 x 3/2) (.f64 (pow.f64 x 3/2) -1/6))
(*.f64 -1/6 (pow.f64 x 3))
(.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) (+.f64 (.f64 -1/6 (pow.f64 x 3)) 2))))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) (fma.f64 -1/6 (pow.f64 x 3) 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3)) (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) (fma.f64 -1/6 (pow.f64 x 3) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3)) (+.f64 1 (*.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) (fma.f64 -1/6 (pow.f64 x 3) 2))))
(.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) -1) (/.f64 1 (+.f64 (.f64 -1/6 (pow.f64 x 3)) 2)))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 (+.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) 1) (-.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) 1))
(*.f64 -1/6 (pow.f64 x 3))
(.f64 (.f64 -1/6 x) (*.f64 x x))
(*.f64 -1/6 (pow.f64 x 3))
(.f64 (.f64 -1/6 (*.f64 x x)) x)
(*.f64 -1/6 (pow.f64 x 3))
(.f64 (.f64 -1/6 (pow.f64 x 3/2)) (pow.f64 x 3/2))
(*.f64 -1/6 (pow.f64 x 3))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) 2)) (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3) -1)))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) (fma.f64 -1/6 (pow.f64 x 3) 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3)) (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) (fma.f64 -1/6 (pow.f64 x 3) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3)) (+.f64 1 (*.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) (fma.f64 -1/6 (pow.f64 x 3) 2))))
(/.f64 1 (/.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) 2) (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) -1)))
(*.f64 -1/6 (pow.f64 x 3))
(/.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) 2)))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) (fma.f64 -1/6 (pow.f64 x 3) 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3)) (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) (fma.f64 -1/6 (pow.f64 x 3) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3)) (+.f64 1 (*.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) (fma.f64 -1/6 (pow.f64 x 3) 2))))
(/.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) (-.f64 1 (*.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) -1))))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) (fma.f64 -1/6 (pow.f64 x 3) 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3)) (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) (fma.f64 -1/6 (pow.f64 x 3) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3)) (+.f64 1 (*.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) (fma.f64 -1/6 (pow.f64 x 3) 2))))
(/.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) -1) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) 2))
(*.f64 -1/6 (pow.f64 x 3))
(/.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) -1) (-.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) -1))
(*.f64 -1/6 (pow.f64 x 3))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) 2))))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) (fma.f64 -1/6 (pow.f64 x 3) 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3)) (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) (fma.f64 -1/6 (pow.f64 x 3) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3)) (+.f64 1 (*.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) (fma.f64 -1/6 (pow.f64 x 3) 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) -1)) (neg.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) 2)))
(*.f64 -1/6 (pow.f64 x 3))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) 3)) (+.f64 1 (-.f64 (*.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) (fma.f64 -1/6 (pow.f64 x 3) -1)) (fma.f64 -1/6 (pow.f64 x 3) -1))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) 3)) (+.f64 1 (*.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) (-.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) 1))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) 3)) (fma.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) -2) 1))
(/.f64 (-.f64 1 (*.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) (fma.f64 -1/6 (pow.f64 x 3) -1))) (-.f64 1 (fma.f64 -1/6 (pow.f64 x 3) -1)))
(/.f64 (fma.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) (fma.f64 (pow.f64 x 3) 1/6 1) 1) (+.f64 (*.f64 (pow.f64 x 3) 1/6) 2))
(/.f64 (fma.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) (fma.f64 (pow.f64 x 3) 1/6 1) 1) (+.f64 2 (*.f64 (pow.f64 x 3) 1/6)))
(pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)
(*.f64 -1/6 (pow.f64 x 3))
(pow.f64 (*.f64 x (cbrt.f64 -1/6)) 3)
(*.f64 -1/6 (pow.f64 x 3))
(pow.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216) 1/3)
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216))
(cbrt.f64 (.f64 x (.f64 (pow.f64 x 8) -1/216)))
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) 2)
(*.f64 -1/6 (pow.f64 x 3))
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/36))
(sqrt.f64 (*.f64 1/36 (pow.f64 x 6)))
(log.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 x 3)))
(*.f64 -1/6 (pow.f64 x 3))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216))
(cbrt.f64 (.f64 x (.f64 (pow.f64 x 8) -1/216)))
(expm1.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3))))
(*.f64 -1/6 (pow.f64 x 3))
(exp.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3))))
(*.f64 -1/6 (pow.f64 x 3))
(exp.f64 (.f64 (log.f64 (.f64 -1/6 (pow.f64 x 3))) 1))
(*.f64 -1/6 (pow.f64 x 3))
(log1p.f64 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3))))
(*.f64 -1/6 (pow.f64 x 3))
(fma.f64 1 (fma.f64 -1/6 (pow.f64 x 3) 1) -1)
(*.f64 -1/6 (pow.f64 x 3))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) 2) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) -1)
(*.f64 -1/6 (pow.f64 x 3))
(fma.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) -1)
(*.f64 -1/6 (pow.f64 x 3))

localize9.0ms (0.1%)

Compiler: Compiled 15 to 11 computations (26.7% saved)

localize8.0ms (0.1%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(-.f64 (/.f64 -1/2 x) 1)
✓	96.3%	(log1p.f64 (-.f64 (/.f64 -1/2 x) 1))

Compiler

Compiled 18 to 14 computations (22.2% saved)

series28.0ms (0.4%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
12.0ms	x	@	0	(log1p.f64 (-.f64 (/.f64 -1/2 x) 1))
9.0ms	x	@	inf	(log1p.f64 (-.f64 (/.f64 -1/2 x) 1))
6.0ms	x	@	-inf	(log1p.f64 (-.f64 (/.f64 -1/2 x) 1))
0.0ms	x	@	0	(-.f64 (/.f64 -1/2 x) 1)
0.0ms	x	@	inf	(-.f64 (/.f64 -1/2 x) 1)

rewrite64.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1734×	`pow1`
1610×	`add-exp-log`
1608×	`log1p-expm1-u`
1608×	`expm1-log1p-u`
1582×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	30
1	190	24
2	2283	24

Stop Event

1×	node limit

Counts

2 → 55

Calls

Call 1

Inputs
(log1p.f64 (-.f64 (/.f64 -1/2 x) 1))
(-.f64 (/.f64 -1/2 x) 1)

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

simplify68.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

648×	`log-prod`
594×	`fma-def`
566×	`times-frac`
546×	`distribute-rgt-in`
540×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	137	1503
1	283	1327
2	937	1327
3	4439	1327

Stop Event

1×	node limit

Counts

79 → 70

Calls

Call 1

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

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

localize20.0ms (0.2%)

Local Accuracy

Found 2 expressions with local accuracy:

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

Compiler

Compiled 49 to 39 computations (20.4% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite91.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1218×	`log-prod`
724×	`pow-prod-down`
680×	`fma-def`
594×	`pow-prod-up`
570×	`pow-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	46
1	293	46
2	3529	46

Stop Event

1×	node limit

Counts

2 → 94

Calls

Call 1

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

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

simplify81.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1366×	`fma-def`
1150×	`associate-r`
1050×	`associate-l`
490×	`distribute-lft-in`
484×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	304	4382
1	717	4304
2	1942	4084

Stop Event

1×	node limit

Counts

118 → 192

Calls

Call 1

Inputs
(*.f64 -2 x)
(+.f64 (.f64 -2 x) (.f64 8 (pow.f64 x 3)))
(+.f64 (.f64 -2 x) (+.f64 (.f64 8 (pow.f64 x 3)) (*.f64 -32 (pow.f64 x 5))))
(+.f64 (.f64 128 (pow.f64 x 7)) (+.f64 (.f64 -2 x) (+.f64 (.f64 8 (pow.f64 x 3)) (.f64 -32 (pow.f64 x 5)))))
(/.f64 -1/2 x)
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 1 x)) (*.f64 1/32 (/.f64 1 (pow.f64 x 5)))))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/128 (/.f64 1 (pow.f64 x 7)))) (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/32 (/.f64 1 (pow.f64 x 5)))))
(/.f64 -1/2 x)
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 1 x)) (*.f64 1/32 (/.f64 1 (pow.f64 x 5)))))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/128 (/.f64 1 (pow.f64 x 7)))) (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/32 (/.f64 1 (pow.f64 x 5)))))
(+.f64 (log.f64 -2) (log.f64 x))
(+.f64 (*.f64 -4 (pow.f64 x 2)) (+.f64 (log.f64 -2) (log.f64 x)))
(+.f64 (.f64 -4 (pow.f64 x 2)) (+.f64 (.f64 8 (pow.f64 x 4)) (+.f64 (log.f64 -2) (log.f64 x))))
(+.f64 (.f64 -4 (pow.f64 x 2)) (+.f64 (.f64 -64/3 (pow.f64 x 6)) (+.f64 (*.f64 8 (pow.f64 x 4)) (+.f64 (log.f64 -2) (log.f64 x)))))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 x)))
(-.f64 (+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 -1/2) (+.f64 (log.f64 (/.f64 1 x)) (.f64 1/32 (/.f64 1 (pow.f64 x 4))))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 -1/2) (+.f64 (log.f64 (/.f64 1 x)) (.f64 1/32 (/.f64 1 (pow.f64 x 4))))) (+.f64 (.f64 1/192 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (log.f64 1/2))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (log.f64 1/2))) (+.f64 (.f64 1/192 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 0 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))) (cbrt.f64 (exp.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))) 1)
(*.f64 -1 (/.f64 1 (fma.f64 2 x (/.f64 1/2 x))))
(*.f64 1 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))
(*.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))) 1)
(*.f64 (/.f64 -1 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x)))) (cbrt.f64 (pow.f64 (fma.f64 2 x (/.f64 1/2 x)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 2 x (/.f64 1/2 x)) -2)) (/.f64 -1 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x)))))
(*.f64 (pow.f64 (neg.f64 (fma.f64 2 x (/.f64 1/2 x))) -1/2) (pow.f64 (neg.f64 (fma.f64 2 x (/.f64 1/2 x))) -1/2))
(*.f64 (/.f64 1 (fma.f64 2 x (/.f64 1/2 x))) -1)
(.f64 (/.f64 -1 (fma.f64 (pow.f64 x 3) 8 (.f64 (pow.f64 x -3) 1/8))) (fma.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) (+.f64 x x)) (pow.f64 (+.f64 x x) 2)))
(.f64 (/.f64 -1 (-.f64 (pow.f64 (+.f64 x x) 2) (.f64 (pow.f64 x -2) 1/4))) (-.f64 (+.f64 x x) (/.f64 1/2 x)))
(pow.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))) 1)
(pow.f64 (E.f64) (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))))
(pow.f64 (/.f64 -1 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x)))) 3)
(pow.f64 (pow.f64 (fma.f64 2 x (/.f64 1/2 x)) -2) 1/2)
(pow.f64 (pow.f64 (neg.f64 (fma.f64 2 x (/.f64 1/2 x))) -3) 1/3)
(pow.f64 (pow.f64 (neg.f64 (fma.f64 2 x (/.f64 1/2 x))) -1/2) 2)
(pow.f64 (neg.f64 (fma.f64 2 x (/.f64 1/2 x))) -1)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))))) (sqrt.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))))) (*.f64 (sqrt.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))) 1))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))) 2)) (cbrt.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))) 2)) (*.f64 (cbrt.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))) 1))
(pow.f64 (pow.f64 (E.f64) (cbrt.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))) 2))
(pow.f64 (pow.f64 (E.f64) (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))) 2)) (cbrt.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))))
(pow.f64 (pow.f64 (E.f64) (sqrt.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))))) (sqrt.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))))) 1) (sqrt.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))))) (cbrt.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))))) (cbrt.f64 (sqrt.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))))) (sqrt.f64 (sqrt.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))))) (sqrt.f64 (sqrt.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))) 2))) (sqrt.f64 (cbrt.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))) 2)) 1) (cbrt.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))))) (cbrt.f64 (sqrt.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))) 2))) (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))))) (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))))))) (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))) 2)) (sqrt.f64 (cbrt.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))))) (sqrt.f64 (cbrt.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))))))
(neg.f64 (/.f64 1 (fma.f64 2 x (/.f64 1/2 x))))
(sqrt.f64 (pow.f64 (fma.f64 2 x (/.f64 1/2 x)) -2))
(log.f64 (exp.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))))
(log.f64 (/.f64 1 (exp.f64 (/.f64 1 (fma.f64 2 x (/.f64 1/2 x))))))
(cbrt.f64 (pow.f64 (neg.f64 (fma.f64 2 x (/.f64 1/2 x))) -3))
(expm1.f64 (log1p.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))))
(exp.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))))
(exp.f64 (*.f64 (log.f64 (/.f64 -1 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x))))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (neg.f64 (fma.f64 2 x (/.f64 1/2 x))) -3)) 1/3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (neg.f64 (fma.f64 2 x (/.f64 1/2 x))) -1/2)) 2))
(exp.f64 (*.f64 (log.f64 (neg.f64 (fma.f64 2 x (/.f64 1/2 x)))) -1))
(log1p.f64 (expm1.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))))
(+.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))) 0)
(+.f64 0 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))))
(+.f64 (log.f64 -1) (neg.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (fma.f64 2 x (/.f64 1/2 x)) -2))) (log.f64 (/.f64 -1 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x))))))
(+.f64 (log.f64 (pow.f64 (neg.f64 (fma.f64 2 x (/.f64 1/2 x))) -1/2)) (log.f64 (pow.f64 (neg.f64 (fma.f64 2 x (/.f64 1/2 x))) -1/2)))
(+.f64 (log.f64 (/.f64 -1 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x))))) (log.f64 (cbrt.f64 (pow.f64 (fma.f64 2 x (/.f64 1/2 x)) -2))))
(+.f64 (neg.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))) (log.f64 -1))
(+.f64 (log.f64 (/.f64 -1 (fma.f64 (pow.f64 x 3) 8 (*.f64 (pow.f64 x -3) 1/8)))) (log.f64 (fma.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) (+.f64 x x)) (pow.f64 (+.f64 x x) 2))))
(+.f64 (log.f64 (/.f64 -1 (-.f64 (pow.f64 (+.f64 x x) 2) (*.f64 (pow.f64 x -2) 1/4)))) (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))))
(-.f64 0 (log.f64 (neg.f64 (fma.f64 2 x (/.f64 1/2 x)))))
(-.f64 (log.f64 -1) (log.f64 (fma.f64 2 x (/.f64 1/2 x))))
(-.f64 (log.f64 -1) (log.f64 (neg.f64 (neg.f64 (fma.f64 2 x (/.f64 1/2 x))))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))))) 1)
(-.f64 (log.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x))) 2))) (log.f64 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x)))))
(-.f64 (log.f64 (/.f64 -1 (sqrt.f64 (fma.f64 2 x (/.f64 1/2 x))))) (log.f64 (sqrt.f64 (fma.f64 2 x (/.f64 1/2 x)))))
(*.f64 -1 (log.f64 (neg.f64 (fma.f64 2 x (/.f64 1/2 x)))))
(*.f64 2 (log.f64 (pow.f64 (neg.f64 (fma.f64 2 x (/.f64 1/2 x))) -1/2)))
(*.f64 1 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))))
(*.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))) 1)
(*.f64 (cbrt.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))) 2) (cbrt.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))) (sqrt.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))))
(*.f64 3 (log.f64 (/.f64 -1 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x))))))
(*.f64 1/3 (log.f64 (pow.f64 (neg.f64 (fma.f64 2 x (/.f64 1/2 x))) -3)))
(/.f64 (-.f64 (pow.f64 (log.f64 -1) 3) (pow.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))) 3)) (+.f64 (pow.f64 (log.f64 -1) 2) (+.f64 (pow.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))) 2) (*.f64 (log.f64 -1) (log.f64 (fma.f64 2 x (/.f64 1/2 x)))))))
(/.f64 (-.f64 (pow.f64 (log.f64 -1) 2) (pow.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))) 2)) (log.f64 (neg.f64 (fma.f64 2 x (/.f64 1/2 x)))))
(pow.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))) 1)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))) 3)
(pow.f64 (pow.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))) 2)
(neg.f64 (log.f64 (neg.f64 (fma.f64 2 x (/.f64 1/2 x)))))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))) 2))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))))
(exp.f64 (log.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))))) 2))
(log1p.f64 (-.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))) 1))
(fma.f64 1 (log.f64 -1) (neg.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))))
(fma.f64 (*.f64 (cbrt.f64 (log.f64 -1)) (cbrt.f64 (log.f64 -1))) (cbrt.f64 (log.f64 -1)) (neg.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))))
(fma.f64 (sqrt.f64 (log.f64 -1)) (sqrt.f64 (log.f64 -1)) (neg.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))))

Outputs
(*.f64 -2 x)
(+.f64 (.f64 -2 x) (.f64 8 (pow.f64 x 3)))
(fma.f64 -2 x (*.f64 8 (pow.f64 x 3)))
(fma.f64 8 (pow.f64 x 3) (*.f64 -2 x))
(+.f64 (.f64 -2 x) (+.f64 (.f64 8 (pow.f64 x 3)) (*.f64 -32 (pow.f64 x 5))))
(fma.f64 -2 x (fma.f64 8 (pow.f64 x 3) (*.f64 -32 (pow.f64 x 5))))
(fma.f64 8 (pow.f64 x 3) (fma.f64 -32 (pow.f64 x 5) (*.f64 -2 x)))
(+.f64 (.f64 128 (pow.f64 x 7)) (+.f64 (.f64 -2 x) (+.f64 (.f64 8 (pow.f64 x 3)) (.f64 -32 (pow.f64 x 5)))))
(fma.f64 128 (pow.f64 x 7) (fma.f64 -2 x (fma.f64 8 (pow.f64 x 3) (*.f64 -32 (pow.f64 x 5)))))
(fma.f64 128 (pow.f64 x 7) (fma.f64 8 (pow.f64 x 3) (fma.f64 -32 (pow.f64 x 5) (*.f64 -2 x))))
(/.f64 -1/2 x)
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x))
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 1 x)) (*.f64 1/32 (/.f64 1 (pow.f64 x 5)))))
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/32 (pow.f64 x 5)) (/.f64 1/2 x)))
(-.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x)) (/.f64 1/32 (pow.f64 x 5)))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 -1/2 x) (/.f64 -1/32 (pow.f64 x 5))))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/128 (/.f64 1 (pow.f64 x 7)))) (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/32 (/.f64 1 (pow.f64 x 5)))))
(-.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/128 (pow.f64 x 7))) (+.f64 (/.f64 1/32 (pow.f64 x 5)) (/.f64 1/2 x)))
(+.f64 (/.f64 1/128 (pow.f64 x 7)) (-.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x)) (/.f64 1/32 (pow.f64 x 5))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/128 (pow.f64 x 7)) (+.f64 (/.f64 -1/2 x) (/.f64 -1/32 (pow.f64 x 5)))))
(/.f64 -1/2 x)
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x))
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 1 x)) (*.f64 1/32 (/.f64 1 (pow.f64 x 5)))))
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/32 (pow.f64 x 5)) (/.f64 1/2 x)))
(-.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x)) (/.f64 1/32 (pow.f64 x 5)))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 -1/2 x) (/.f64 -1/32 (pow.f64 x 5))))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/128 (/.f64 1 (pow.f64 x 7)))) (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/32 (/.f64 1 (pow.f64 x 5)))))
(-.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/128 (pow.f64 x 7))) (+.f64 (/.f64 1/32 (pow.f64 x 5)) (/.f64 1/2 x)))
(+.f64 (/.f64 1/128 (pow.f64 x 7)) (-.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x)) (/.f64 1/32 (pow.f64 x 5))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/128 (pow.f64 x 7)) (+.f64 (/.f64 -1/2 x) (/.f64 -1/32 (pow.f64 x 5)))))
(+.f64 (log.f64 -2) (log.f64 x))
(+.f64 (*.f64 -4 (pow.f64 x 2)) (+.f64 (log.f64 -2) (log.f64 x)))
(fma.f64 -4 (*.f64 x x) (+.f64 (log.f64 -2) (log.f64 x)))
(+.f64 (log.f64 x) (fma.f64 -4 (*.f64 x x) (log.f64 -2)))
(+.f64 (log.f64 -2) (fma.f64 x (*.f64 x -4) (log.f64 x)))
(+.f64 (.f64 -4 (pow.f64 x 2)) (+.f64 (.f64 8 (pow.f64 x 4)) (+.f64 (log.f64 -2) (log.f64 x))))
(fma.f64 -4 (*.f64 x x) (fma.f64 8 (pow.f64 x 4) (+.f64 (log.f64 -2) (log.f64 x))))
(fma.f64 -4 (*.f64 x x) (+.f64 (log.f64 x) (fma.f64 8 (pow.f64 x 4) (log.f64 -2))))
(+.f64 (log.f64 x) (fma.f64 x (*.f64 x -4) (fma.f64 8 (pow.f64 x 4) (log.f64 -2))))
(+.f64 (.f64 -4 (pow.f64 x 2)) (+.f64 (.f64 -64/3 (pow.f64 x 6)) (+.f64 (*.f64 8 (pow.f64 x 4)) (+.f64 (log.f64 -2) (log.f64 x)))))
(fma.f64 -4 (*.f64 x x) (fma.f64 -64/3 (pow.f64 x 6) (fma.f64 8 (pow.f64 x 4) (+.f64 (log.f64 -2) (log.f64 x)))))
(fma.f64 -4 (*.f64 x x) (fma.f64 -64/3 (pow.f64 x 6) (+.f64 (log.f64 x) (fma.f64 8 (pow.f64 x 4) (log.f64 -2)))))
(fma.f64 x (*.f64 x -4) (+.f64 (fma.f64 -64/3 (pow.f64 x 6) (fma.f64 8 (pow.f64 x 4) (log.f64 -2))) (log.f64 x)))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 -1/2) (neg.f64 (log.f64 x)))
(-.f64 (log.f64 -1/2) (log.f64 x))
(-.f64 (+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 -1/2) (neg.f64 (log.f64 x))) (/.f64 1/4 (*.f64 x x)))
(+.f64 (-.f64 (log.f64 -1/2) (log.f64 x)) (/.f64 -1/4 (*.f64 x x)))
(-.f64 (+.f64 (log.f64 -1/2) (+.f64 (log.f64 (/.f64 1 x)) (.f64 1/32 (/.f64 1 (pow.f64 x 4))))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
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(/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x)))
(expm1.f64 (log1p.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))))
(/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))
(/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x)))
(exp.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))))
(/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))
(/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x)))
(exp.f64 (*.f64 (log.f64 (/.f64 -1 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x))))) 3))
(/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))
(/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (neg.f64 (fma.f64 2 x (/.f64 1/2 x))) -3)) 1/3))
(/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))
(/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (neg.f64 (fma.f64 2 x (/.f64 1/2 x))) -1/2)) 2))
(/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))
(/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x)))
(exp.f64 (*.f64 (log.f64 (neg.f64 (fma.f64 2 x (/.f64 1/2 x)))) -1))
(/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))
(/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x)))
(log1p.f64 (expm1.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))))
(/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))
(/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x)))
(+.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))) 0)
(log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))
(neg.f64 (log.f64 (fma.f64 -2 x (/.f64 -1/2 x))))
(+.f64 0 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))))
(log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))
(neg.f64 (log.f64 (fma.f64 -2 x (/.f64 -1/2 x))))
(+.f64 (log.f64 -1) (neg.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))))
(log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))
(neg.f64 (log.f64 (fma.f64 -2 x (/.f64 -1/2 x))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (fma.f64 2 x (/.f64 1/2 x)) -2))) (log.f64 (/.f64 -1 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x))))))
(+.f64 (log.f64 (/.f64 -1 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x))))) (log.f64 (cbrt.f64 (pow.f64 (fma.f64 2 x (/.f64 1/2 x)) -2))))
(+.f64 (log.f64 (/.f64 -1 (cbrt.f64 (fma.f64 x 2 (/.f64 1/2 x))))) (log.f64 (cbrt.f64 (pow.f64 (fma.f64 x 2 (/.f64 1/2 x)) -2))))
(+.f64 (log.f64 (pow.f64 (neg.f64 (fma.f64 2 x (/.f64 1/2 x))) -1/2)) (log.f64 (pow.f64 (neg.f64 (fma.f64 2 x (/.f64 1/2 x))) -1/2)))
(log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))
(neg.f64 (log.f64 (fma.f64 -2 x (/.f64 -1/2 x))))
(+.f64 (log.f64 (/.f64 -1 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x))))) (log.f64 (cbrt.f64 (pow.f64 (fma.f64 2 x (/.f64 1/2 x)) -2))))
(+.f64 (log.f64 (/.f64 -1 (cbrt.f64 (fma.f64 x 2 (/.f64 1/2 x))))) (log.f64 (cbrt.f64 (pow.f64 (fma.f64 x 2 (/.f64 1/2 x)) -2))))
(+.f64 (neg.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))) (log.f64 -1))
(log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))
(neg.f64 (log.f64 (fma.f64 -2 x (/.f64 -1/2 x))))
(+.f64 (log.f64 (/.f64 -1 (fma.f64 (pow.f64 x 3) 8 (*.f64 (pow.f64 x -3) 1/8)))) (log.f64 (fma.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) (+.f64 x x)) (pow.f64 (+.f64 x x) 2))))
(+.f64 (log.f64 (/.f64 -1 (fma.f64 (pow.f64 x 3) 8 (*.f64 1/8 (pow.f64 x -3))))) (log.f64 (fma.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) (+.f64 x x)) (pow.f64 (+.f64 x x) 2))))
(+.f64 (log.f64 (/.f64 -1 (fma.f64 8 (pow.f64 x 3) (.f64 1/8 (pow.f64 x -3))))) (log.f64 (fma.f64 (/.f64 1/2 x) (+.f64 (.f64 -2 x) (/.f64 1/2 x)) (.f64 4 (.f64 x x)))))
(+.f64 (log.f64 (/.f64 -1 (fma.f64 8 (pow.f64 x 3) (.f64 1/8 (pow.f64 x -3))))) (log.f64 (fma.f64 (/.f64 1/2 x) (fma.f64 -2 x (/.f64 1/2 x)) (.f64 x (*.f64 x 4)))))
(+.f64 (log.f64 (/.f64 -1 (-.f64 (pow.f64 (+.f64 x x) 2) (*.f64 (pow.f64 x -2) 1/4)))) (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))))
(+.f64 (log.f64 (/.f64 -1 (-.f64 (pow.f64 (+.f64 x x) 2) (*.f64 1/4 (pow.f64 x -2))))) (log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x)))))
(+.f64 (log.f64 (/.f64 -1 (+.f64 (.f64 4 (.f64 x x)) (*.f64 (pow.f64 x -2) -1/4)))) (log.f64 (fma.f64 2 x (/.f64 -1/2 x))))
(+.f64 (log.f64 (/.f64 -1 (fma.f64 (pow.f64 x -2) -1/4 (.f64 x (.f64 x 4))))) (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))
(-.f64 0 (log.f64 (neg.f64 (fma.f64 2 x (/.f64 1/2 x)))))
(log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))
(neg.f64 (log.f64 (fma.f64 -2 x (/.f64 -1/2 x))))
(-.f64 (log.f64 -1) (log.f64 (fma.f64 2 x (/.f64 1/2 x))))
(log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))
(neg.f64 (log.f64 (fma.f64 -2 x (/.f64 -1/2 x))))
(-.f64 (log.f64 -1) (log.f64 (neg.f64 (neg.f64 (fma.f64 2 x (/.f64 1/2 x))))))
(log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))
(neg.f64 (log.f64 (fma.f64 -2 x (/.f64 -1/2 x))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))))) 1)
(log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))
(neg.f64 (log.f64 (fma.f64 -2 x (/.f64 -1/2 x))))
(-.f64 (log.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x))) 2))) (log.f64 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x)))))
(log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))
(neg.f64 (log.f64 (fma.f64 -2 x (/.f64 -1/2 x))))
(-.f64 (log.f64 (/.f64 -1 (sqrt.f64 (fma.f64 2 x (/.f64 1/2 x))))) (log.f64 (sqrt.f64 (fma.f64 2 x (/.f64 1/2 x)))))
(-.f64 (log.f64 -1) (*.f64 2 (log.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 1/2 x))))))
(*.f64 -1 (log.f64 (neg.f64 (fma.f64 2 x (/.f64 1/2 x)))))
(log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))
(neg.f64 (log.f64 (fma.f64 -2 x (/.f64 -1/2 x))))
(*.f64 2 (log.f64 (pow.f64 (neg.f64 (fma.f64 2 x (/.f64 1/2 x))) -1/2)))
(log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))
(neg.f64 (log.f64 (fma.f64 -2 x (/.f64 -1/2 x))))
(*.f64 1 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))))
(log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))
(neg.f64 (log.f64 (fma.f64 -2 x (/.f64 -1/2 x))))
(*.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))) 1)
(log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))
(neg.f64 (log.f64 (fma.f64 -2 x (/.f64 -1/2 x))))
(*.f64 (cbrt.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))) 2))
(log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))
(neg.f64 (log.f64 (fma.f64 -2 x (/.f64 -1/2 x))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))) 2) (cbrt.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))))
(log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))
(neg.f64 (log.f64 (fma.f64 -2 x (/.f64 -1/2 x))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))) (sqrt.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))))
(log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))
(neg.f64 (log.f64 (fma.f64 -2 x (/.f64 -1/2 x))))
(*.f64 3 (log.f64 (/.f64 -1 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x))))))
(log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))
(neg.f64 (log.f64 (fma.f64 -2 x (/.f64 -1/2 x))))
(*.f64 1/3 (log.f64 (pow.f64 (neg.f64 (fma.f64 2 x (/.f64 1/2 x))) -3)))
(log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))
(neg.f64 (log.f64 (fma.f64 -2 x (/.f64 -1/2 x))))
(/.f64 (-.f64 (pow.f64 (log.f64 -1) 3) (pow.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))) 3)) (+.f64 (pow.f64 (log.f64 -1) 2) (+.f64 (pow.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))) 2) (*.f64 (log.f64 -1) (log.f64 (fma.f64 2 x (/.f64 1/2 x)))))))
(/.f64 (-.f64 (pow.f64 (log.f64 -1) 3) (pow.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))) 3)) (+.f64 (pow.f64 (log.f64 -1) 2) (.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))) (log.f64 (-.f64 (.f64 -2 x) (/.f64 1/2 x))))))
(/.f64 (-.f64 (pow.f64 (log.f64 -1) 3) (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 1/2 x))) 3)) (fma.f64 (log.f64 (fma.f64 x 2 (/.f64 1/2 x))) (log.f64 (fma.f64 -2 x (/.f64 -1/2 x))) (pow.f64 (log.f64 -1) 2)))
(/.f64 (-.f64 (pow.f64 (log.f64 -1) 2) (pow.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))) 2)) (log.f64 (neg.f64 (fma.f64 2 x (/.f64 1/2 x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 -1) 2) (pow.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))) 2)) (log.f64 (-.f64 (*.f64 -2 x) (/.f64 1/2 x))))
(/.f64 (-.f64 (pow.f64 (log.f64 -1) 2) (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 1/2 x))) 2)) (log.f64 (fma.f64 -2 x (/.f64 -1/2 x))))
(pow.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))) 1)
(log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))
(neg.f64 (log.f64 (fma.f64 -2 x (/.f64 -1/2 x))))
(pow.f64 (cbrt.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))) 3)
(log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))
(neg.f64 (log.f64 (fma.f64 -2 x (/.f64 -1/2 x))))
(pow.f64 (pow.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))) 2) 1/2)
(log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))
(neg.f64 (log.f64 (fma.f64 -2 x (/.f64 -1/2 x))))
(pow.f64 (pow.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))) 3) 1/3)
(log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))
(neg.f64 (log.f64 (fma.f64 -2 x (/.f64 -1/2 x))))
(pow.f64 (sqrt.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))) 2)
(log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))
(neg.f64 (log.f64 (fma.f64 -2 x (/.f64 -1/2 x))))
(neg.f64 (log.f64 (neg.f64 (fma.f64 2 x (/.f64 1/2 x)))))
(log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))
(neg.f64 (log.f64 (fma.f64 -2 x (/.f64 -1/2 x))))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))) 2))
(log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))
(neg.f64 (log.f64 (fma.f64 -2 x (/.f64 -1/2 x))))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))) 3))
(log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))
(neg.f64 (log.f64 (fma.f64 -2 x (/.f64 -1/2 x))))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))))
(log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))
(neg.f64 (log.f64 (fma.f64 -2 x (/.f64 -1/2 x))))
(exp.f64 (log.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))))
(log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))
(neg.f64 (log.f64 (fma.f64 -2 x (/.f64 -1/2 x))))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))) 1))
(log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))
(neg.f64 (log.f64 (fma.f64 -2 x (/.f64 -1/2 x))))
(exp.f64 (.f64 (.f64 (log.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))) 1) 1))
(log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))
(neg.f64 (log.f64 (fma.f64 -2 x (/.f64 -1/2 x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))))) 3))
(log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))
(neg.f64 (log.f64 (fma.f64 -2 x (/.f64 -1/2 x))))
(exp.f64 (.f64 (.f64 3 (log.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))))) 1/3))
(log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))
(neg.f64 (log.f64 (fma.f64 -2 x (/.f64 -1/2 x))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))))) 2))
(log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))
(neg.f64 (log.f64 (fma.f64 -2 x (/.f64 -1/2 x))))
(log1p.f64 (-.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))) 1))
(log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))
(neg.f64 (log.f64 (fma.f64 -2 x (/.f64 -1/2 x))))
(fma.f64 1 (log.f64 -1) (neg.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))))
(log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))
(neg.f64 (log.f64 (fma.f64 -2 x (/.f64 -1/2 x))))
(fma.f64 (*.f64 (cbrt.f64 (log.f64 -1)) (cbrt.f64 (log.f64 -1))) (cbrt.f64 (log.f64 -1)) (neg.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))))
(log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))
(neg.f64 (log.f64 (fma.f64 -2 x (/.f64 -1/2 x))))
(fma.f64 (sqrt.f64 (log.f64 -1)) (sqrt.f64 (log.f64 -1)) (neg.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))))
(log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))
(neg.f64 (log.f64 (fma.f64 -2 x (/.f64 -1/2 x))))

localize11.0ms (0.1%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	98.8%	(-.f64 (hypot.f64 1 x) x)
✓	96.1%	(log.f64 (-.f64 (hypot.f64 1 x) x))

Compiler

Compiled 24 to 16 computations (33.3% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite135.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1610×	`pow1`
1484×	`add-exp-log`
1484×	`log1p-expm1-u`
1484×	`expm1-log1p-u`
1448×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	30
1	159	30
2	2008	30

Stop Event

1×	node limit

Counts

2 → 59

Calls

Call 1

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

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

simplify91.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

724×	`log-prod`
694×	`unswap-sqr`
564×	`fma-neg`
540×	`associate-+l+`
454×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	224	2687
1	602	2219
2	2052	2051
3	7699	2051

Stop Event

1×	node limit

Counts

83 → 148

Calls

Call 1

Inputs
(*.f64 -1 x)
(+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 -1 x))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 -1 x) (*.f64 -3/40 (pow.f64 x 5))))
(+.f64 (.f64 5/112 (pow.f64 x 7)) (+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 -1 x) (.f64 -3/40 (pow.f64 x 5)))))
(+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))
(-.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 1 x)) (+.f64 (log.f64 1/2) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 1 x)) (+.f64 (log.f64 1/2) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1 x)))
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1 x) (*.f64 -1/8 (pow.f64 x 4)))))
(/.f64 1/2 x)
(-.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (.f64 1/2 (/.f64 1 x))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (.f64 1/2 (/.f64 1 x))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 5/128 (/.f64 1 (pow.f64 x 7)))))
(*.f64 -2 x)
(-.f64 (.f64 -2 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 -2 x) (.f64 1/8 (/.f64 1 (pow.f64 x 3)))) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 -2 x) (.f64 1/8 (/.f64 1 (pow.f64 x 3)))) (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/16 (/.f64 1 (pow.f64 x 5)))))
(+.f64 0 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2)) (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(+.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))) (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))))
(-.f64 (log.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log.f64 (+.f64 (+.f64 1 (.f64 x x)) (.f64 x (+.f64 x (hypot.f64 1 x))))))
(-.f64 (log.f64 (-.f64 (+.f64 1 (.f64 x x)) (.f64 x x))) (log.f64 (+.f64 x (hypot.f64 1 x))))
(-.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1)
(*.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1)
(*.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (cbrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2)) (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1)
(pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3)
(pow.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)
(sqrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2))
(cbrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3))
(expm1.f64 (log1p.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(exp.f64 (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(log1p.f64 (-.f64 (-.f64 (hypot.f64 1 x) x) 1))
(+.f64 1 (-.f64 (-.f64 (hypot.f64 1 x) x) 1))
(+.f64 (hypot.f64 1 x) (neg.f64 x))
(+.f64 (hypot.f64 1 x) (*.f64 (neg.f64 x) 1))
(+.f64 (-.f64 (hypot.f64 1 x) x) (fma.f64 (neg.f64 x) 1 x))
(+.f64 (-.f64 (hypot.f64 1 x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(+.f64 (-.f64 (hypot.f64 1 x) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(+.f64 (neg.f64 x) (hypot.f64 1 x))
(*.f64 1 (-.f64 (hypot.f64 1 x) x))
(*.f64 (-.f64 (hypot.f64 1 x) x) 1)
(*.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2) (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))
(.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (+.f64 1 (.f64 x x)) (*.f64 x (+.f64 x (hypot.f64 1 x))))))
(.f64 (-.f64 (+.f64 1 (.f64 x x)) (*.f64 x x)) (/.f64 1 (+.f64 x (hypot.f64 1 x))))
(*.f64 (+.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)))
(/.f64 1 (/.f64 (+.f64 (+.f64 1 (.f64 x x)) (.f64 x (+.f64 x (hypot.f64 1 x)))) (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))))
(/.f64 1 (/.f64 (+.f64 x (hypot.f64 1 x)) (-.f64 (+.f64 1 (.f64 x x)) (.f64 x x))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (+.f64 (+.f64 1 (.f64 x x)) (.f64 x (+.f64 x (hypot.f64 1 x)))))
(/.f64 (-.f64 (+.f64 1 (.f64 x x)) (.f64 x x)) (+.f64 x (hypot.f64 1 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (+.f64 1 (.f64 x x)) (.f64 x (+.f64 x (hypot.f64 1 x))))))
(/.f64 (neg.f64 (-.f64 (+.f64 1 (.f64 x x)) (.f64 x x))) (neg.f64 (+.f64 x (hypot.f64 1 x))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (+.f64 1 (.f64 x x)) (-.f64 (.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (hypot.f64 1 x) (neg.f64 x)))))
(/.f64 (-.f64 (+.f64 1 (.f64 x x)) (.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (hypot.f64 1 x) (neg.f64 x)))
(pow.f64 (-.f64 (hypot.f64 1 x) x) 1)
(pow.f64 (E.f64) (log.f64 (-.f64 (hypot.f64 1 x) x)))
(pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 3)
(pow.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) 2)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2))) (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(sqrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 2))
(log.f64 (exp.f64 (-.f64 (hypot.f64 1 x) x)))
(cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 3))
(expm1.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) x)))
(exp.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(log1p.f64 (expm1.f64 (-.f64 (hypot.f64 1 x) x)))
(fma.f64 1 (hypot.f64 1 x) (neg.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 2) (cbrt.f64 (hypot.f64 1 x)) (neg.f64 x))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) (neg.f64 x))

Outputs
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 -1 x))
(fma.f64 1/6 (pow.f64 x 3) (neg.f64 x))
(-.f64 (*.f64 1/6 (pow.f64 x 3)) x)
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 -1 x) (*.f64 -3/40 (pow.f64 x 5))))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1 x (*.f64 -3/40 (pow.f64 x 5))))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 -3/40 (pow.f64 x 5) (neg.f64 x)))
(+.f64 (.f64 5/112 (pow.f64 x 7)) (+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 -1 x) (.f64 -3/40 (pow.f64 x 5)))))
(fma.f64 5/112 (pow.f64 x 7) (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1 x (*.f64 -3/40 (pow.f64 x 5)))))
(fma.f64 5/112 (pow.f64 x 7) (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -3/40 (pow.f64 x 5) (neg.f64 x))))
(+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))
(+.f64 (neg.f64 (log.f64 x)) (log.f64 1/2))
(-.f64 (log.f64 1/2) (log.f64 x))
(-.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (neg.f64 (log.f64 x)) (-.f64 (log.f64 1/2) (/.f64 1/4 (*.f64 x x))))
(+.f64 (-.f64 (log.f64 1/2) (log.f64 x)) (/.f64 -1/4 (*.f64 x x)))
(-.f64 (log.f64 1/2) (+.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x))))
(-.f64 (+.f64 (log.f64 (/.f64 1 x)) (+.f64 (log.f64 1/2) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (neg.f64 (log.f64 x)) (-.f64 (+.f64 (log.f64 1/2) (/.f64 3/32 (pow.f64 x 4))) (/.f64 1/4 (*.f64 x x))))
(+.f64 (-.f64 (log.f64 1/2) (log.f64 x)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (/.f64 -1/4 (*.f64 x x))))
(+.f64 (log.f64 1/2) (+.f64 (-.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 x)) (/.f64 (/.f64 -1/4 x) x)))
(-.f64 (+.f64 (log.f64 (/.f64 1 x)) (+.f64 (log.f64 1/2) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (neg.f64 (log.f64 x)) (-.f64 (+.f64 (log.f64 1/2) (/.f64 3/32 (pow.f64 x 4))) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6)))))
(+.f64 (-.f64 (log.f64 1/2) (log.f64 x)) (-.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6)))))
(+.f64 (-.f64 (log.f64 1/2) (log.f64 x)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (-.f64 (/.f64 (/.f64 -1/4 x) x) (/.f64 5/96 (pow.f64 x 6)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 2))
(-.f64 (log.f64 2) (log.f64 (/.f64 -1 x)))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 2)) (/.f64 1/4 (*.f64 x x)))
(-.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (log.f64 2)) (log.f64 (/.f64 -1 x)))
(+.f64 (/.f64 1/4 (*.f64 x x)) (-.f64 (log.f64 2) (log.f64 (/.f64 -1 x))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 2)) (/.f64 1/4 (*.f64 x x))) (/.f64 3/32 (pow.f64 x 4)))
(+.f64 (-.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (log.f64 2)) (log.f64 (/.f64 -1 x))) (/.f64 -3/32 (pow.f64 x 4)))
(-.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (log.f64 2)) (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 3/32 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 2)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6)))) (/.f64 3/32 (pow.f64 x 4)))
(+.f64 (-.f64 (log.f64 2) (log.f64 (/.f64 -1 x))) (+.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6))) (/.f64 -3/32 (pow.f64 x 4))))
(+.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (-.f64 (+.f64 (/.f64 5/96 (pow.f64 x 6)) (log.f64 2)) (log.f64 (/.f64 -1 x)))) (/.f64 -3/32 (pow.f64 x 4)))
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (neg.f64 x))
(-.f64 1 x)
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1 x)))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(+.f64 1 (-.f64 (.f64 x (.f64 x 1/2)) x))
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1 x) (*.f64 -1/8 (pow.f64 x 4)))))
(+.f64 1 (fma.f64 1/2 (.f64 x x) (fma.f64 -1 x (.f64 (pow.f64 x 4) -1/8))))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 (pow.f64 x 4) -1/8 (neg.f64 x))))
(+.f64 1 (fma.f64 1/2 (.f64 x x) (-.f64 (.f64 (pow.f64 x 4) -1/8) x)))
(/.f64 1/2 x)
(-.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3)))
(+.f64 (/.f64 1/2 x) (/.f64 -1/8 (pow.f64 x 3)))
(-.f64 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (.f64 1/2 (/.f64 1 x))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1/16 (pow.f64 x 5)) (-.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3))))
(+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/16 (pow.f64 x 5)) (/.f64 -1/8 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 1/2 x) (/.f64 -1/8 (pow.f64 x 3))) (/.f64 1/16 (pow.f64 x 5)))
(-.f64 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (.f64 1/2 (/.f64 1 x))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 5/128 (/.f64 1 (pow.f64 x 7)))))
(+.f64 (/.f64 1/16 (pow.f64 x 5)) (-.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 5/128 (pow.f64 x 7)))))
(-.f64 (+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/16 (pow.f64 x 5)) (/.f64 -1/8 (pow.f64 x 3)))) (/.f64 5/128 (pow.f64 x 7)))
(+.f64 (/.f64 1/16 (pow.f64 x 5)) (-.f64 (+.f64 (/.f64 1/2 x) (/.f64 -1/8 (pow.f64 x 3))) (/.f64 5/128 (pow.f64 x 7))))
(*.f64 -2 x)
(*.f64 x -2)
(-.f64 (.f64 -2 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 x -2) (/.f64 1/2 x))
(fma.f64 x -2 (/.f64 -1/2 x))
(-.f64 (+.f64 (.f64 -2 x) (.f64 1/8 (/.f64 1 (pow.f64 x 3)))) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (fma.f64 -2 x (/.f64 1/8 (pow.f64 x 3))) (/.f64 1/2 x))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (fma.f64 x -2 (/.f64 -1/2 x)))
(-.f64 (+.f64 (.f64 -2 x) (.f64 1/8 (/.f64 1 (pow.f64 x 3)))) (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/16 (/.f64 1 (pow.f64 x 5)))))
(-.f64 (-.f64 (fma.f64 -2 x (/.f64 1/8 (pow.f64 x 3))) (/.f64 1/2 x)) (/.f64 1/16 (pow.f64 x 5)))
(-.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (fma.f64 x -2 (/.f64 -1/2 x))) (/.f64 1/16 (pow.f64 x 5)))
(+.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (fma.f64 x -2 (/.f64 -1/2 x))) (/.f64 -1/16 (pow.f64 x 5)))
(+.f64 0 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(log.f64 (-.f64 (hypot.f64 1 x) x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2)) (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(log.f64 (-.f64 (hypot.f64 1 x) x))
(+.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))) (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))))
(log.f64 (-.f64 (hypot.f64 1 x) x))
(-.f64 (log.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log.f64 (+.f64 (+.f64 1 (.f64 x x)) (.f64 x (+.f64 x (hypot.f64 1 x))))))
(-.f64 (log.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log.f64 (+.f64 1 (+.f64 (.f64 x x) (.f64 x (+.f64 x (hypot.f64 1 x)))))))
(-.f64 (log.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log1p.f64 (*.f64 x (+.f64 x (+.f64 x (hypot.f64 1 x))))))
(-.f64 (log.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log1p.f64 (*.f64 x (+.f64 (+.f64 x x) (hypot.f64 1 x)))))
(-.f64 (log.f64 (-.f64 (+.f64 1 (.f64 x x)) (.f64 x x))) (log.f64 (+.f64 x (hypot.f64 1 x))))
(-.f64 (log.f64 (+.f64 1 (-.f64 (.f64 x x) (.f64 x x)))) (log.f64 (+.f64 x (hypot.f64 1 x))))
(neg.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(-.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1)
(log.f64 (-.f64 (hypot.f64 1 x) x))
(*.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(log.f64 (-.f64 (hypot.f64 1 x) x))
(*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1)
(log.f64 (-.f64 (hypot.f64 1 x) x))
(*.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (cbrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2)) (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (cbrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2)))
(*.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(log.f64 (-.f64 (hypot.f64 1 x) x))
(pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1)
(log.f64 (-.f64 (hypot.f64 1 x) x))
(pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3)
(log.f64 (-.f64 (hypot.f64 1 x) x))
(pow.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3) 1/3)
(log.f64 (-.f64 (hypot.f64 1 x) x))
(pow.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)
(log.f64 (-.f64 (hypot.f64 1 x) x))
(sqrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2))
(log.f64 (-.f64 (hypot.f64 1 x) x))
(cbrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3))
(log.f64 (-.f64 (hypot.f64 1 x) x))
(expm1.f64 (log1p.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(log.f64 (-.f64 (hypot.f64 1 x) x))
(exp.f64 (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(log.f64 (-.f64 (hypot.f64 1 x) x))
(log1p.f64 (-.f64 (-.f64 (hypot.f64 1 x) x) 1))
(log.f64 (-.f64 (hypot.f64 1 x) x))
(+.f64 1 (-.f64 (-.f64 (hypot.f64 1 x) x) 1))
(+.f64 1 (-.f64 (hypot.f64 1 x) (+.f64 x 1)))
(+.f64 (-.f64 (hypot.f64 1 x) x) 0)
(-.f64 (hypot.f64 1 x) x)
(+.f64 (hypot.f64 1 x) (neg.f64 x))
(+.f64 1 (-.f64 (hypot.f64 1 x) (+.f64 x 1)))
(+.f64 (-.f64 (hypot.f64 1 x) x) 0)
(-.f64 (hypot.f64 1 x) x)
(+.f64 (hypot.f64 1 x) (*.f64 (neg.f64 x) 1))
(+.f64 1 (-.f64 (hypot.f64 1 x) (+.f64 x 1)))
(+.f64 (-.f64 (hypot.f64 1 x) x) 0)
(-.f64 (hypot.f64 1 x) x)
(+.f64 (-.f64 (hypot.f64 1 x) x) (fma.f64 (neg.f64 x) 1 x))
(+.f64 1 (-.f64 (hypot.f64 1 x) (+.f64 x 1)))
(+.f64 (-.f64 (hypot.f64 1 x) x) 0)
(-.f64 (hypot.f64 1 x) x)
(+.f64 (-.f64 (hypot.f64 1 x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(+.f64 1 (-.f64 (hypot.f64 1 x) (+.f64 x 1)))
(+.f64 (-.f64 (hypot.f64 1 x) x) 0)
(-.f64 (hypot.f64 1 x) x)
(+.f64 (-.f64 (hypot.f64 1 x) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(+.f64 1 (-.f64 (hypot.f64 1 x) (+.f64 x 1)))
(+.f64 (-.f64 (hypot.f64 1 x) x) 0)
(-.f64 (hypot.f64 1 x) x)
(+.f64 (neg.f64 x) (hypot.f64 1 x))
(+.f64 1 (-.f64 (hypot.f64 1 x) (+.f64 x 1)))
(+.f64 (-.f64 (hypot.f64 1 x) x) 0)
(-.f64 (hypot.f64 1 x) x)
(*.f64 1 (-.f64 (hypot.f64 1 x) x))
(+.f64 1 (-.f64 (hypot.f64 1 x) (+.f64 x 1)))
(+.f64 (-.f64 (hypot.f64 1 x) x) 0)
(-.f64 (hypot.f64 1 x) x)
(*.f64 (-.f64 (hypot.f64 1 x) x) 1)
(+.f64 1 (-.f64 (hypot.f64 1 x) (+.f64 x 1)))
(+.f64 (-.f64 (hypot.f64 1 x) x) 0)
(-.f64 (hypot.f64 1 x) x)
(*.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2))
(+.f64 1 (-.f64 (hypot.f64 1 x) (+.f64 x 1)))
(+.f64 (-.f64 (hypot.f64 1 x) x) 0)
(-.f64 (hypot.f64 1 x) x)
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2) (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))
(+.f64 1 (-.f64 (hypot.f64 1 x) (+.f64 x 1)))
(+.f64 (-.f64 (hypot.f64 1 x) x) 0)
(-.f64 (hypot.f64 1 x) x)
(*.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))
(+.f64 1 (-.f64 (hypot.f64 1 x) (+.f64 x 1)))
(+.f64 (-.f64 (hypot.f64 1 x) x) 0)
(-.f64 (hypot.f64 1 x) x)
(.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (+.f64 1 (.f64 x x)) (*.f64 x (+.f64 x (hypot.f64 1 x))))))
(.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 1 (+.f64 (.f64 x x) (*.f64 x (+.f64 x (hypot.f64 1 x)))))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (hypot.f64 1 x)) (fma.f64 x x 1)))
(.f64 (-.f64 (+.f64 1 (.f64 x x)) (*.f64 x x)) (/.f64 1 (+.f64 x (hypot.f64 1 x))))
(.f64 (+.f64 1 (-.f64 (.f64 x x) (*.f64 x x))) (/.f64 1 (+.f64 x (hypot.f64 1 x))))
(/.f64 1 (+.f64 x (hypot.f64 1 x)))
(*.f64 (+.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)))
(+.f64 1 (-.f64 (hypot.f64 1 x) (+.f64 x 1)))
(+.f64 (-.f64 (hypot.f64 1 x) x) 0)
(-.f64 (hypot.f64 1 x) x)
(/.f64 1 (/.f64 (+.f64 (+.f64 1 (.f64 x x)) (.f64 x (+.f64 x (hypot.f64 1 x)))) (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))))
(.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 1 (+.f64 (.f64 x x) (*.f64 x (+.f64 x (hypot.f64 1 x)))))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (hypot.f64 1 x)) (fma.f64 x x 1)))
(/.f64 1 (/.f64 (+.f64 x (hypot.f64 1 x)) (-.f64 (+.f64 1 (.f64 x x)) (.f64 x x))))
(.f64 (+.f64 1 (-.f64 (.f64 x x) (*.f64 x x))) (/.f64 1 (+.f64 x (hypot.f64 1 x))))
(/.f64 1 (+.f64 x (hypot.f64 1 x)))
(/.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (+.f64 (+.f64 1 (.f64 x x)) (.f64 x (+.f64 x (hypot.f64 1 x)))))
(.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 1 (+.f64 (.f64 x x) (*.f64 x (+.f64 x (hypot.f64 1 x)))))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (hypot.f64 1 x)) (fma.f64 x x 1)))
(/.f64 (-.f64 (+.f64 1 (.f64 x x)) (.f64 x x)) (+.f64 x (hypot.f64 1 x)))
(.f64 (+.f64 1 (-.f64 (.f64 x x) (*.f64 x x))) (/.f64 1 (+.f64 x (hypot.f64 1 x))))
(/.f64 1 (+.f64 x (hypot.f64 1 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (+.f64 1 (.f64 x x)) (.f64 x (+.f64 x (hypot.f64 1 x))))))
(.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 1 (+.f64 (.f64 x x) (*.f64 x (+.f64 x (hypot.f64 1 x)))))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (hypot.f64 1 x)) (fma.f64 x x 1)))
(/.f64 (neg.f64 (-.f64 (+.f64 1 (.f64 x x)) (.f64 x x))) (neg.f64 (+.f64 x (hypot.f64 1 x))))
(.f64 (+.f64 1 (-.f64 (.f64 x x) (*.f64 x x))) (/.f64 1 (+.f64 x (hypot.f64 1 x))))
(/.f64 1 (+.f64 x (hypot.f64 1 x)))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (+.f64 1 (.f64 x x)) (-.f64 (.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (hypot.f64 1 x) (neg.f64 x)))))
(.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 1 (+.f64 (.f64 x x) (*.f64 x (+.f64 x (hypot.f64 1 x)))))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (hypot.f64 1 x)) (fma.f64 x x 1)))
(/.f64 (-.f64 (+.f64 1 (.f64 x x)) (.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (hypot.f64 1 x) (neg.f64 x)))
(.f64 (+.f64 1 (-.f64 (.f64 x x) (*.f64 x x))) (/.f64 1 (+.f64 x (hypot.f64 1 x))))
(/.f64 1 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (-.f64 (hypot.f64 1 x) x) 1)
(+.f64 1 (-.f64 (hypot.f64 1 x) (+.f64 x 1)))
(+.f64 (-.f64 (hypot.f64 1 x) x) 0)
(-.f64 (hypot.f64 1 x) x)
(pow.f64 (E.f64) (log.f64 (-.f64 (hypot.f64 1 x) x)))
(+.f64 1 (-.f64 (hypot.f64 1 x) (+.f64 x 1)))
(+.f64 (-.f64 (hypot.f64 1 x) x) 0)
(-.f64 (hypot.f64 1 x) x)
(pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 3)
(+.f64 1 (-.f64 (hypot.f64 1 x) (+.f64 x 1)))
(+.f64 (-.f64 (hypot.f64 1 x) x) 0)
(-.f64 (hypot.f64 1 x) x)
(pow.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 3) 1/3)
(+.f64 1 (-.f64 (hypot.f64 1 x) (+.f64 x 1)))
(+.f64 (-.f64 (hypot.f64 1 x) x) 0)
(-.f64 (hypot.f64 1 x) x)
(pow.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) 2)
(+.f64 1 (-.f64 (hypot.f64 1 x) (+.f64 x 1)))
(+.f64 (-.f64 (hypot.f64 1 x) x) 0)
(-.f64 (hypot.f64 1 x) x)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(+.f64 1 (-.f64 (hypot.f64 1 x) (+.f64 x 1)))
(+.f64 (-.f64 (hypot.f64 1 x) x) 0)
(-.f64 (hypot.f64 1 x) x)
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2))) (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(sqrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 2))
(+.f64 1 (-.f64 (hypot.f64 1 x) (+.f64 x 1)))
(+.f64 (-.f64 (hypot.f64 1 x) x) 0)
(-.f64 (hypot.f64 1 x) x)
(log.f64 (exp.f64 (-.f64 (hypot.f64 1 x) x)))
(+.f64 1 (-.f64 (hypot.f64 1 x) (+.f64 x 1)))
(+.f64 (-.f64 (hypot.f64 1 x) x) 0)
(-.f64 (hypot.f64 1 x) x)
(cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 3))
(+.f64 1 (-.f64 (hypot.f64 1 x) (+.f64 x 1)))
(+.f64 (-.f64 (hypot.f64 1 x) x) 0)
(-.f64 (hypot.f64 1 x) x)
(expm1.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) x)))
(+.f64 1 (-.f64 (hypot.f64 1 x) (+.f64 x 1)))
(+.f64 (-.f64 (hypot.f64 1 x) x) 0)
(-.f64 (hypot.f64 1 x) x)
(exp.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(+.f64 1 (-.f64 (hypot.f64 1 x) (+.f64 x 1)))
(+.f64 (-.f64 (hypot.f64 1 x) x) 0)
(-.f64 (hypot.f64 1 x) x)
(log1p.f64 (expm1.f64 (-.f64 (hypot.f64 1 x) x)))
(+.f64 1 (-.f64 (hypot.f64 1 x) (+.f64 x 1)))
(+.f64 (-.f64 (hypot.f64 1 x) x) 0)
(-.f64 (hypot.f64 1 x) x)
(fma.f64 1 (hypot.f64 1 x) (neg.f64 x))
(+.f64 1 (-.f64 (hypot.f64 1 x) (+.f64 x 1)))
(+.f64 (-.f64 (hypot.f64 1 x) x) 0)
(-.f64 (hypot.f64 1 x) x)
(fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 2) (cbrt.f64 (hypot.f64 1 x)) (neg.f64 x))
(+.f64 1 (-.f64 (hypot.f64 1 x) (+.f64 x 1)))
(+.f64 (-.f64 (hypot.f64 1 x) x) 0)
(-.f64 (hypot.f64 1 x) x)
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) (neg.f64 x))
(+.f64 1 (-.f64 (hypot.f64 1 x) (+.f64 x 1)))
(+.f64 (-.f64 (hypot.f64 1 x) x) 0)
(-.f64 (hypot.f64 1 x) x)

eval217.0ms (2.7%)

Compiler: Compiled 7628 to 5985 computations (21.5% saved)

prune92.0ms (1.2%)

Pruning

12 alts after pruning (4 fresh and 8 done)

	Pruned	Kept	Total
New	477	3	480
Fresh	0	1	1
Picked	0	1	1
Done	2	7	9
Total	479	12	491

Accurracy

100.0%

Counts

491 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	51.2%	(+.f64 (-.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) 1) x)
▶	51.2%	(+.f64 (.f64 (.f64 x x) (*.f64 x -1/6)) x)
✓	30.4%	(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
▶	26.3%	(neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x))))
▶	7.0%	(neg.f64 (log.f64 (+.f64 1 (-.f64 (.f64 x (.f64 x 1/2)) x))))
✓	25.5%	(neg.f64 (log.f64 (*.f64 x -2)))
✓	1.0%	(log1p.f64 (-.f64 (/.f64 -1/2 x) 1))
✓	25.5%	(log.f64 (/.f64 -1/2 x))
✓	24.7%	(log.f64 (+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x))))
✓	28.3%	(log.f64 (+.f64 x (hypot.f64 1 x)))
✓	23.7%	(log.f64 (+.f64 x x))
	53.6%	x

Compiler

Compiled 95 to 72 computations (24.2% saved)

localize20.0ms (0.2%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(-.f64 (.f64 x (.f64 x 1/2)) x)
✓	74.9%	(log.f64 (+.f64 1 (-.f64 (.f64 x (.f64 x 1/2)) x)))

Compiler

Compiled 49 to 33 computations (32.7% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite80.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1072×	`log-prod`
1020×	`fma-def`
672×	`pow-prod-down`
510×	`pow-prod-up`
498×	`pow-exp`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	42
1	233	42
2	3019	34

Stop Event

1×	node limit

Counts

2 → 170

Calls

Call 1

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

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

simplify109.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

680×	`associate-+l+`
642×	`unswap-sqr`
612×	`associate-+r+`
546×	`cancel-sign-sub-inv`
440×	`fma-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	400	6138
1	946	5488
2	2895	5430

Stop Event

1×	node limit

Counts

194 → 247

Calls

Call 1

Inputs
(*.f64 -1 x)
(+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 -1 x))
(+.f64 (.f64 1/8 (pow.f64 x 4)) (+.f64 (.f64 1/6 (pow.f64 x 3)) (*.f64 -1 x)))
(+.f64 (.f64 1/8 (pow.f64 x 4)) (+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 -1 x) (.f64 1/20 (pow.f64 x 5)))))
(+.f64 (log.f64 1/2) (*.f64 -2 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (log.f64 1/2) (.f64 -2 (log.f64 (/.f64 1 x)))) (.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 (log.f64 1/2) (+.f64 (.f64 4/3 (/.f64 1 (pow.f64 x 3))) (.f64 -2 (log.f64 (/.f64 1 x))))) (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (log.f64 1/2) (+.f64 (.f64 4/3 (/.f64 1 (pow.f64 x 3))) (.f64 -2 (log.f64 (/.f64 1 x)))))) (.f64 2 (/.f64 1 x)))
(+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 1/2))
(-.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 1/2)) (.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 1/2) (.f64 4/3 (/.f64 1 (pow.f64 x 3))))) (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (log.f64 1/2) (.f64 4/3 (/.f64 1 (pow.f64 x 3)))))) (.f64 2 (/.f64 1 x)))
(*.f64 -1 x)
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1 x))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1 x))
(+.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 x))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1 x))
(+.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 x))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1 x))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1 x))
(+.f64 (log1p.f64 (*.f64 x (fma.f64 x 1/2 -1))) 0)
(+.f64 0 (log1p.f64 (*.f64 x (fma.f64 x 1/2 -1))))
(+.f64 (log1p.f64 (pow.f64 (.f64 x (fma.f64 x 1/2 -1)) 3)) (log.f64 (/.f64 1 (fma.f64 (.f64 x (fma.f64 x 1/2 -1)) (fma.f64 x (fma.f64 x 1/2 -1) -1) 1))))
(+.f64 (log1p.f64 (neg.f64 (pow.f64 (.f64 x (fma.f64 x 1/2 -1)) 2))) (log.f64 (/.f64 1 (-.f64 1 (.f64 x (fma.f64 x 1/2 -1))))))
(+.f64 (.f64 1/3 (log1p.f64 (.f64 x (fma.f64 x 1/2 -1)))) (.f64 2 (.f64 1/3 (log1p.f64 (*.f64 x (fma.f64 x 1/2 -1))))))
(+.f64 (log.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 1/2 -1) 1))) (log.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 1/2 -1) 1))))
(+.f64 (.f64 2 (.f64 1/3 (log1p.f64 (.f64 x (fma.f64 x 1/2 -1))))) (.f64 1/3 (log1p.f64 (*.f64 x (fma.f64 x 1/2 -1)))))
(-.f64 0 (log.f64 (/.f64 (fma.f64 (.f64 x (fma.f64 x 1/2 -1)) (fma.f64 x (fma.f64 x 1/2 -1) -1) 1) (+.f64 1 (pow.f64 (.f64 x (fma.f64 x 1/2 -1)) 3)))))
(-.f64 0 (log.f64 (/.f64 (-.f64 1 (.f64 x (fma.f64 x 1/2 -1))) (-.f64 1 (pow.f64 (.f64 x (fma.f64 x 1/2 -1)) 2)))))
(-.f64 (log1p.f64 (pow.f64 (.f64 x (fma.f64 x 1/2 -1)) 3)) (log1p.f64 (.f64 (*.f64 x (fma.f64 x 1/2 -1)) (fma.f64 x (fma.f64 x 1/2 -1) -1))))
(-.f64 (log1p.f64 (pow.f64 (.f64 x (fma.f64 x 1/2 -1)) 3)) (log.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 x 1/2 -1)) 2) (-.f64 1 (*.f64 x (fma.f64 x 1/2 -1))))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (.f64 x (fma.f64 x 1/2 -1)) 2))) (log1p.f64 (neg.f64 (.f64 x (fma.f64 x 1/2 -1)))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (*.f64 x (fma.f64 x 1/2 -1))))) 1)
(-.f64 (log.f64 (neg.f64 (+.f64 1 (pow.f64 (.f64 x (fma.f64 x 1/2 -1)) 3)))) (log.f64 (neg.f64 (fma.f64 (.f64 x (fma.f64 x 1/2 -1)) (fma.f64 x (fma.f64 x 1/2 -1) -1) 1))))
(-.f64 (log.f64 (neg.f64 (-.f64 1 (pow.f64 (.f64 x (fma.f64 x 1/2 -1)) 2)))) (log.f64 (neg.f64 (-.f64 1 (.f64 x (fma.f64 x 1/2 -1))))))
(-.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 x (.f64 x 1/2) 1) 3) (pow.f64 x 3))) (log.f64 (+.f64 (pow.f64 (fma.f64 x (.f64 x 1/2) 1) 2) (fma.f64 x x (.f64 (fma.f64 x (.f64 x 1/2) 1) x)))))
(-.f64 (log.f64 (-.f64 (pow.f64 (*.f64 x (fma.f64 x 1/2 -1)) 2) 1)) (log.f64 (fma.f64 x (fma.f64 x 1/2 -1) -1)))
(-.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 x (.f64 x 1/2) 1) 2) (.f64 x x))) (log.f64 (+.f64 (fma.f64 x (*.f64 x 1/2) 1) x)))
(.f64 1 (log1p.f64 (.f64 x (fma.f64 x 1/2 -1))))
(.f64 (log1p.f64 (.f64 x (fma.f64 x 1/2 -1))) 1)
(.f64 (cbrt.f64 (log1p.f64 (.f64 x (fma.f64 x 1/2 -1)))) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 x (fma.f64 x 1/2 -1)))) 2))
(.f64 (pow.f64 (cbrt.f64 (log1p.f64 (.f64 x (fma.f64 x 1/2 -1)))) 2) (cbrt.f64 (log1p.f64 (*.f64 x (fma.f64 x 1/2 -1)))))
(.f64 (sqrt.f64 (log1p.f64 (.f64 x (fma.f64 x 1/2 -1)))) (sqrt.f64 (log1p.f64 (*.f64 x (fma.f64 x 1/2 -1)))))
(.f64 3 (.f64 1/3 (log1p.f64 (*.f64 x (fma.f64 x 1/2 -1)))))
(*.f64 2 (log.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 1/2 -1) 1))))
(.f64 1/3 (.f64 3 (log1p.f64 (*.f64 x (fma.f64 x 1/2 -1)))))
(pow.f64 (log1p.f64 (*.f64 x (fma.f64 x 1/2 -1))) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (*.f64 x (fma.f64 x 1/2 -1)))) 3)
(pow.f64 (pow.f64 (log1p.f64 (*.f64 x (fma.f64 x 1/2 -1))) 2) 1/2)
(pow.f64 (pow.f64 (log1p.f64 (*.f64 x (fma.f64 x 1/2 -1))) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (*.f64 x (fma.f64 x 1/2 -1)))) 2)
(neg.f64 (log.f64 (/.f64 (fma.f64 (.f64 x (fma.f64 x 1/2 -1)) (fma.f64 x (fma.f64 x 1/2 -1) -1) 1) (+.f64 1 (pow.f64 (.f64 x (fma.f64 x 1/2 -1)) 3)))))
(neg.f64 (log.f64 (/.f64 (-.f64 1 (.f64 x (fma.f64 x 1/2 -1))) (-.f64 1 (pow.f64 (.f64 x (fma.f64 x 1/2 -1)) 2)))))
(sqrt.f64 (pow.f64 (log1p.f64 (*.f64 x (fma.f64 x 1/2 -1))) 2))
(cbrt.f64 (pow.f64 (log1p.f64 (*.f64 x (fma.f64 x 1/2 -1))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (*.f64 x (fma.f64 x 1/2 -1)))))
(exp.f64 (log.f64 (log1p.f64 (*.f64 x (fma.f64 x 1/2 -1)))))
(exp.f64 (.f64 (log.f64 (log1p.f64 (.f64 x (fma.f64 x 1/2 -1)))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (log1p.f64 (*.f64 x (fma.f64 x 1/2 -1)))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (log1p.f64 (.f64 x (fma.f64 x 1/2 -1))))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (log1p.f64 (*.f64 x (fma.f64 x 1/2 -1))))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (log1p.f64 (.f64 x (fma.f64 x 1/2 -1))))) 2))
(log1p.f64 (*.f64 x (fma.f64 x 1/2 -1)))
(+.f64 (.f64 x (.f64 x 1/2)) (neg.f64 x))
(+.f64 (.f64 x (.f64 x 1/2)) (*.f64 (neg.f64 x) 1))
(+.f64 (*.f64 x (fma.f64 x 1/2 -1)) (fma.f64 (neg.f64 x) 1 x))
(+.f64 (*.f64 x (fma.f64 x 1/2 -1)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(+.f64 (*.f64 x (fma.f64 x 1/2 -1)) (+.f64 (neg.f64 x) x))
(+.f64 0 (*.f64 x (fma.f64 x 1/2 -1)))
(+.f64 (neg.f64 x) (.f64 x (.f64 x 1/2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x 1/2 -1))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x 1/2 -1)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x 1/2 -1)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x 1/2 -1)))))
(.f64 1 (.f64 x (fma.f64 x 1/2 -1)))
(*.f64 x (fma.f64 x 1/2 -1))
(.f64 (.f64 x (fma.f64 x 1/2 -1)) 1)
(.f64 (cbrt.f64 (.f64 x (fma.f64 x 1/2 -1))) (cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x 1/2 -1)) 2)))
(.f64 (cbrt.f64 (pow.f64 (.f64 x (fma.f64 x 1/2 -1)) 2)) (cbrt.f64 (*.f64 x (fma.f64 x 1/2 -1))))
(.f64 (sqrt.f64 (.f64 x (fma.f64 x 1/2 -1))) (sqrt.f64 (*.f64 x (fma.f64 x 1/2 -1))))
(.f64 (-.f64 (.f64 (pow.f64 x 6) 1/8) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (fma.f64 x (.f64 x 1/2) x) (.f64 (pow.f64 x 4) 1/4))))
(.f64 (-.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 x x)) (/.f64 1 (fma.f64 x (.f64 x 1/2) x)))
(.f64 (fma.f64 x (sqrt.f64 1/2) (sqrt.f64 x)) (-.f64 (.f64 x (sqrt.f64 1/2)) (sqrt.f64 x)))
(/.f64 1 (/.f64 (fma.f64 x (fma.f64 x (.f64 x 1/2) x) (.f64 (pow.f64 x 4) 1/4)) (-.f64 (*.f64 (pow.f64 x 6) 1/8) (pow.f64 x 3))))
(/.f64 1 (/.f64 (fma.f64 x (.f64 x 1/2) x) (-.f64 (.f64 (pow.f64 x 4) 1/4) (*.f64 x x))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/8) (pow.f64 x 3)) (fma.f64 x (fma.f64 x (.f64 x 1/2) x) (*.f64 (pow.f64 x 4) 1/4)))
(/.f64 (-.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 x x)) (fma.f64 x (*.f64 x 1/2) x))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x 6) 1/8) (pow.f64 x 3))) (neg.f64 (fma.f64 x (fma.f64 x (.f64 x 1/2) x) (*.f64 (pow.f64 x 4) 1/4))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 x x))) (neg.f64 (fma.f64 x (*.f64 x 1/2) x)))
(/.f64 (fma.f64 (pow.f64 x 6) 1/8 (pow.f64 (neg.f64 x) 3)) (fma.f64 (pow.f64 x 4) 1/4 (-.f64 (pow.f64 (neg.f64 x) 2) (.f64 (.f64 x (*.f64 x 1/2)) (neg.f64 x)))))
(/.f64 (-.f64 (.f64 (pow.f64 x 4) 1/4) (pow.f64 (neg.f64 x) 2)) (-.f64 (.f64 x (*.f64 x 1/2)) (neg.f64 x)))
(pow.f64 (*.f64 x (fma.f64 x 1/2 -1)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x 1/2 -1))) 3)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x 1/2 -1)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x 1/2 -1)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x 1/2 -1))) 2)
(pow.f64 (/.f64 (fma.f64 x (fma.f64 x (.f64 x 1/2) x) (.f64 (pow.f64 x 4) 1/4)) (-.f64 (*.f64 (pow.f64 x 6) 1/8) (pow.f64 x 3))) -1)
(pow.f64 (/.f64 (fma.f64 x (.f64 x 1/2) x) (-.f64 (.f64 (pow.f64 x 4) 1/4) (*.f64 x x))) -1)
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x 1/2 -1)) 2))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 x 1/2 -1)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x 1/2 -1)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x (*.f64 x 1/2)))) (exp.f64 (neg.f64 x))))
(log.f64 (.f64 (exp.f64 (neg.f64 x)) (+.f64 1 (expm1.f64 (.f64 x (*.f64 x 1/2))))))
(log.f64 (/.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) (+.f64 1 (expm1.f64 x))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x 1/2)))) (exp.f64 x)))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x 1/2)))) (+.f64 1 (expm1.f64 x))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x 1/2 -1)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x 1/2 -1))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x 1/2 -1))))
(exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 x 1/2 -1))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (fma.f64 x 1/2 -1))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (fma.f64 x 1/2 -1)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 x (fma.f64 x 1/2 -1)))) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (fma.f64 x 1/2 -1))) 3) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (fma.f64 x 1/2 -1)))) 2))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x 1/2 -1))))
(fma.f64 1 (.f64 x (.f64 x 1/2)) (neg.f64 x))
(fma.f64 1 (.f64 x (.f64 x 1/2)) (*.f64 (neg.f64 x) 1))
(fma.f64 1 (*.f64 x (fma.f64 x 1/2 -1)) (fma.f64 (neg.f64 x) 1 x))
(fma.f64 1 (*.f64 x (fma.f64 x 1/2 -1)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(fma.f64 1 (*.f64 x (fma.f64 x 1/2 -1)) (+.f64 (neg.f64 x) x))
(fma.f64 1 (fma.f64 x (fma.f64 x 1/2 -1) 1) -1)
(fma.f64 1 (neg.f64 x) (.f64 x (.f64 x 1/2)))
(fma.f64 x (*.f64 x 1/2) (neg.f64 x))
(fma.f64 x (.f64 x 1/2) (.f64 (neg.f64 x) 1))
(fma.f64 x (fma.f64 x 1/2 -1) (fma.f64 (neg.f64 x) 1 x))
(fma.f64 x (fma.f64 x 1/2 -1) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(fma.f64 x (fma.f64 x 1/2 -1) (+.f64 (neg.f64 x) x))
(fma.f64 1/2 (*.f64 x x) (neg.f64 x))
(fma.f64 1/2 (.f64 x x) (.f64 (neg.f64 x) 1))
(fma.f64 (*.f64 x 1/2) x (neg.f64 x))
(fma.f64 (.f64 x 1/2) x (.f64 (neg.f64 x) 1))
(fma.f64 (.f64 x (.f64 x 1/2)) 1 (neg.f64 x))
(fma.f64 (.f64 x (.f64 x 1/2)) 1 (*.f64 (neg.f64 x) 1))
(fma.f64 (*.f64 x (fma.f64 x 1/2 -1)) 1 (fma.f64 (neg.f64 x) 1 x))
(fma.f64 (*.f64 x (fma.f64 x 1/2 -1)) 1 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(fma.f64 (*.f64 x (fma.f64 x 1/2 -1)) 1 (+.f64 (neg.f64 x) x))
(fma.f64 (fma.f64 x (fma.f64 x 1/2 -1) 1) 1 -1)
(fma.f64 (cbrt.f64 (.f64 x (.f64 x 1/2))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (neg.f64 x))
(fma.f64 (cbrt.f64 (.f64 x (.f64 x 1/2))) (cbrt.f64 (.f64 (pow.f64 x 4) 1/4)) (.f64 (neg.f64 x) 1))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/4)) (cbrt.f64 (.f64 x (*.f64 x 1/2))) (neg.f64 x))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/4)) (cbrt.f64 (.f64 x (.f64 x 1/2))) (.f64 (neg.f64 x) 1))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (neg.f64 (cbrt.f64 x)) (.f64 x (.f64 x 1/2)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (.f64 x 1/2)) (neg.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (.f64 x 1/2)) (*.f64 (neg.f64 x) 1))
(fma.f64 (cbrt.f64 (.f64 x (fma.f64 x 1/2 -1))) (cbrt.f64 (pow.f64 (.f64 x (fma.f64 x 1/2 -1)) 2)) (fma.f64 (neg.f64 x) 1 x))
(fma.f64 (cbrt.f64 (.f64 x (fma.f64 x 1/2 -1))) (cbrt.f64 (pow.f64 (.f64 x (fma.f64 x 1/2 -1)) 2)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(fma.f64 (cbrt.f64 (.f64 x (fma.f64 x 1/2 -1))) (cbrt.f64 (pow.f64 (.f64 x (fma.f64 x 1/2 -1)) 2)) (+.f64 (neg.f64 x) x))
(fma.f64 (cbrt.f64 (pow.f64 (.f64 x (fma.f64 x 1/2 -1)) 2)) (cbrt.f64 (.f64 x (fma.f64 x 1/2 -1))) (fma.f64 (neg.f64 x) 1 x))
(fma.f64 (cbrt.f64 (pow.f64 (.f64 x (fma.f64 x 1/2 -1)) 2)) (cbrt.f64 (.f64 x (fma.f64 x 1/2 -1))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(fma.f64 (cbrt.f64 (pow.f64 (.f64 x (fma.f64 x 1/2 -1)) 2)) (cbrt.f64 (.f64 x (fma.f64 x 1/2 -1))) (+.f64 (neg.f64 x) x))
(fma.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 1/2 -1) 1)) (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 1/2 -1) 1)) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 1/2 -1) 1)) 2) (cbrt.f64 (fma.f64 x (fma.f64 x 1/2 -1) 1)) -1)
(fma.f64 (cbrt.f64 (pow.f64 (.f64 x 1/2) 2)) (.f64 (cbrt.f64 (*.f64 x 1/2)) x) (neg.f64 x))
(fma.f64 (cbrt.f64 (pow.f64 (.f64 x 1/2) 2)) (.f64 (cbrt.f64 (.f64 x 1/2)) x) (.f64 (neg.f64 x) 1))
(fma.f64 (*.f64 x x) 1/2 (neg.f64 x))
(fma.f64 (.f64 x x) 1/2 (.f64 (neg.f64 x) 1))
(fma.f64 (.f64 x (sqrt.f64 1/2)) (.f64 x (sqrt.f64 1/2)) (neg.f64 x))
(fma.f64 (.f64 x (sqrt.f64 1/2)) (.f64 x (sqrt.f64 1/2)) (*.f64 (neg.f64 x) 1))
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) (.f64 x (.f64 x 1/2)))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (.f64 x 1/2)) (neg.f64 x))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (.f64 x 1/2)) (*.f64 (neg.f64 x) 1))
(fma.f64 (sqrt.f64 (.f64 x (fma.f64 x 1/2 -1))) (sqrt.f64 (.f64 x (fma.f64 x 1/2 -1))) (fma.f64 (neg.f64 x) 1 x))
(fma.f64 (sqrt.f64 (.f64 x (fma.f64 x 1/2 -1))) (sqrt.f64 (.f64 x (fma.f64 x 1/2 -1))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(fma.f64 (sqrt.f64 (.f64 x (fma.f64 x 1/2 -1))) (sqrt.f64 (.f64 x (fma.f64 x 1/2 -1))) (+.f64 (neg.f64 x) x))
(fma.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 1/2 -1) 1)) (sqrt.f64 (fma.f64 x (fma.f64 x 1/2 -1) 1)) -1)
(fma.f64 (sqrt.f64 (.f64 x 1/2)) (.f64 (sqrt.f64 (*.f64 x 1/2)) x) (neg.f64 x))
(fma.f64 (sqrt.f64 (.f64 x 1/2)) (.f64 (sqrt.f64 (.f64 x 1/2)) x) (.f64 (neg.f64 x) 1))
(fma.f64 (+.f64 1 (pow.f64 (.f64 x (fma.f64 x 1/2 -1)) 3)) (/.f64 1 (fma.f64 (.f64 x (fma.f64 x 1/2 -1)) (fma.f64 x (fma.f64 x 1/2 -1) -1) 1)) -1)
(fma.f64 (-.f64 (.f64 (pow.f64 x 6) 1/8) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (fma.f64 x (.f64 x 1/2) x) (*.f64 (pow.f64 x 4) 1/4))) (fma.f64 (neg.f64 x) 1 x))
(fma.f64 (-.f64 (.f64 (pow.f64 x 6) 1/8) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (fma.f64 x (.f64 x 1/2) x) (*.f64 (pow.f64 x 4) 1/4))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(fma.f64 (-.f64 (.f64 (pow.f64 x 6) 1/8) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (fma.f64 x (.f64 x 1/2) x) (*.f64 (pow.f64 x 4) 1/4))) (+.f64 (neg.f64 x) x))
(fma.f64 (-.f64 1 (pow.f64 (.f64 x (fma.f64 x 1/2 -1)) 2)) (/.f64 1 (-.f64 1 (.f64 x (fma.f64 x 1/2 -1)))) -1)
(fma.f64 (-.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 x x)) (/.f64 1 (fma.f64 x (*.f64 x 1/2) x)) (fma.f64 (neg.f64 x) 1 x))
(fma.f64 (-.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 x x)) (/.f64 1 (fma.f64 x (*.f64 x 1/2) x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(fma.f64 (-.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 x x)) (/.f64 1 (fma.f64 x (*.f64 x 1/2) x)) (+.f64 (neg.f64 x) x))
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 x)) 2) (cbrt.f64 (neg.f64 x)) (.f64 x (.f64 x 1/2)))
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (.f64 x (.f64 x 1/2)))
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) (.f64 x (.f64 x 1/2)))
(fma.f64 -1 x (.f64 x (.f64 x 1/2)))
(fma.f64 (fma.f64 x (sqrt.f64 1/2) (sqrt.f64 x)) (-.f64 (*.f64 x (sqrt.f64 1/2)) (sqrt.f64 x)) (fma.f64 (neg.f64 x) 1 x))
(fma.f64 (fma.f64 x (sqrt.f64 1/2) (sqrt.f64 x)) (-.f64 (*.f64 x (sqrt.f64 1/2)) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(fma.f64 (fma.f64 x (sqrt.f64 1/2) (sqrt.f64 x)) (-.f64 (*.f64 x (sqrt.f64 1/2)) (sqrt.f64 x)) (+.f64 (neg.f64 x) x))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 x (.f64 x 1/2)))
(fma.f64 (.f64 x (cbrt.f64 (pow.f64 (.f64 x 1/2) 2))) (cbrt.f64 (*.f64 x 1/2)) (neg.f64 x))
(fma.f64 (.f64 x (cbrt.f64 (pow.f64 (.f64 x 1/2) 2))) (cbrt.f64 (.f64 x 1/2)) (.f64 (neg.f64 x) 1))
(fma.f64 (.f64 x (sqrt.f64 (.f64 x 1/2))) (sqrt.f64 (*.f64 x 1/2)) (neg.f64 x))
(fma.f64 (.f64 x (sqrt.f64 (.f64 x 1/2))) (sqrt.f64 (.f64 x 1/2)) (.f64 (neg.f64 x) 1))
(fma.f64 (.f64 (.f64 x 1/2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (neg.f64 x))
(fma.f64 (.f64 (.f64 x 1/2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (neg.f64 x) 1))
(fma.f64 (.f64 (.f64 x 1/2) (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 x))
(fma.f64 (.f64 (.f64 x 1/2) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (neg.f64 x) 1))

Outputs
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 -1 x))
(fma.f64 1/6 (pow.f64 x 3) (neg.f64 x))
(-.f64 (*.f64 1/6 (pow.f64 x 3)) x)
(+.f64 (.f64 1/8 (pow.f64 x 4)) (+.f64 (.f64 1/6 (pow.f64 x 3)) (*.f64 -1 x)))
(fma.f64 1/8 (pow.f64 x 4) (fma.f64 1/6 (pow.f64 x 3) (neg.f64 x)))
(-.f64 (fma.f64 1/8 (pow.f64 x 4) (*.f64 1/6 (pow.f64 x 3))) x)
(+.f64 (.f64 1/8 (pow.f64 x 4)) (+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 -1 x) (.f64 1/20 (pow.f64 x 5)))))
(fma.f64 1/8 (pow.f64 x 4) (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1 x (*.f64 1/20 (pow.f64 x 5)))))
(fma.f64 1/8 (pow.f64 x 4) (fma.f64 1/6 (pow.f64 x 3) (-.f64 (*.f64 1/20 (pow.f64 x 5)) x)))
(fma.f64 1/8 (pow.f64 x 4) (fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/20 (pow.f64 x 5) (neg.f64 x))))
(+.f64 (log.f64 1/2) (*.f64 -2 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 1/2) (*.f64 -2 (neg.f64 (log.f64 x))))
(fma.f64 -2 (neg.f64 (log.f64 x)) (log.f64 1/2))
(-.f64 (log.f64 1/2) (*.f64 (log.f64 x) -2))
(-.f64 (+.f64 (log.f64 1/2) (.f64 -2 (log.f64 (/.f64 1 x)))) (.f64 2 (/.f64 1 x)))
(+.f64 (log.f64 1/2) (-.f64 (*.f64 -2 (neg.f64 (log.f64 x))) (/.f64 2 x)))
(+.f64 (log.f64 1/2) (fma.f64 -2 (neg.f64 (log.f64 x)) (/.f64 -2 x)))
(+.f64 (log.f64 1/2) (+.f64 (*.f64 2 (log.f64 x)) (/.f64 -2 x)))
(-.f64 (+.f64 (log.f64 1/2) (+.f64 (.f64 4/3 (/.f64 1 (pow.f64 x 3))) (.f64 -2 (log.f64 (/.f64 1 x))))) (*.f64 2 (/.f64 1 x)))
(+.f64 (log.f64 1/2) (-.f64 (+.f64 (*.f64 -2 (neg.f64 (log.f64 x))) (/.f64 4/3 (pow.f64 x 3))) (/.f64 2 x)))
(+.f64 (+.f64 (log.f64 1/2) (/.f64 4/3 (pow.f64 x 3))) (fma.f64 -2 (neg.f64 (log.f64 x)) (/.f64 -2 x)))
(+.f64 (*.f64 2 (log.f64 x)) (+.f64 (/.f64 4/3 (pow.f64 x 3)) (-.f64 (log.f64 1/2) (/.f64 2 x))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (log.f64 1/2) (+.f64 (.f64 4/3 (/.f64 1 (pow.f64 x 3))) (.f64 -2 (log.f64 (/.f64 1 x)))))) (.f64 2 (/.f64 1 x)))
(+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (log.f64 1/2) (-.f64 (+.f64 (*.f64 -2 (neg.f64 (log.f64 x))) (/.f64 4/3 (pow.f64 x 3))) (/.f64 2 x))))
(+.f64 (+.f64 (+.f64 (log.f64 1/2) (/.f64 4/3 (pow.f64 x 3))) (fma.f64 -2 (neg.f64 (log.f64 x)) (/.f64 -2 x))) (/.f64 2 (pow.f64 x 4)))
(+.f64 (+.f64 (log.f64 1/2) (/.f64 4/3 (pow.f64 x 3))) (+.f64 (+.f64 (*.f64 2 (log.f64 x)) (/.f64 -2 x)) (/.f64 2 (pow.f64 x 4))))
(+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 1/2))
(fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(-.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 1/2)) (.f64 2 (/.f64 1 x)))
(-.f64 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (/.f64 2 x))
(+.f64 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (/.f64 -2 x))
(+.f64 (log.f64 1/2) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (/.f64 -2 x)))
(-.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 1/2) (.f64 4/3 (/.f64 1 (pow.f64 x 3))))) (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (/.f64 4/3 (pow.f64 x 3))) (/.f64 2 x))
(+.f64 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (/.f64 4/3 (pow.f64 x 3)))) (/.f64 -2 x))
(+.f64 (+.f64 (log.f64 1/2) (/.f64 4/3 (pow.f64 x 3))) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (/.f64 -2 x)))
(-.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (log.f64 1/2) (.f64 4/3 (/.f64 1 (pow.f64 x 3)))))) (.f64 2 (/.f64 1 x)))
(-.f64 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (log.f64 1/2) (/.f64 4/3 (pow.f64 x 3))))) (/.f64 2 x))
(+.f64 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (/.f64 2 (pow.f64 x 4))) (+.f64 (/.f64 4/3 (pow.f64 x 3)) (-.f64 (log.f64 1/2) (/.f64 2 x))))
(+.f64 (+.f64 (/.f64 4/3 (pow.f64 x 3)) (+.f64 (log.f64 1/2) (/.f64 2 (pow.f64 x 4)))) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (/.f64 -2 x)))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1 x))
(-.f64 (.f64 x (.f64 x 1/2)) x)
(*.f64 x (fma.f64 x 1/2 -1))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1 x))
(-.f64 (.f64 x (.f64 x 1/2)) x)
(*.f64 x (fma.f64 x 1/2 -1))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1 x))
(-.f64 (.f64 x (.f64 x 1/2)) x)
(*.f64 x (fma.f64 x 1/2 -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))
(-.f64 (.f64 x (.f64 x 1/2)) x)
(*.f64 x (fma.f64 x 1/2 -1))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1 x))
(-.f64 (.f64 x (.f64 x 1/2)) x)
(*.f64 x (fma.f64 x 1/2 -1))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1 x))
(-.f64 (.f64 x (.f64 x 1/2)) x)
(*.f64 x (fma.f64 x 1/2 -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))
(-.f64 (.f64 x (.f64 x 1/2)) x)
(*.f64 x (fma.f64 x 1/2 -1))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1 x))
(-.f64 (.f64 x (.f64 x 1/2)) x)
(*.f64 x (fma.f64 x 1/2 -1))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1 x))
(-.f64 (.f64 x (.f64 x 1/2)) x)
(*.f64 x (fma.f64 x 1/2 -1))
(+.f64 (log1p.f64 (*.f64 x (fma.f64 x 1/2 -1))) 0)
(log1p.f64 (*.f64 x (fma.f64 x 1/2 -1)))
(+.f64 0 (log1p.f64 (*.f64 x (fma.f64 x 1/2 -1))))
(log1p.f64 (*.f64 x (fma.f64 x 1/2 -1)))
(+.f64 (log1p.f64 (pow.f64 (.f64 x (fma.f64 x 1/2 -1)) 3)) (log.f64 (/.f64 1 (fma.f64 (.f64 x (fma.f64 x 1/2 -1)) (fma.f64 x (fma.f64 x 1/2 -1) -1) 1))))
(+.f64 (log1p.f64 (pow.f64 (.f64 x (fma.f64 x 1/2 -1)) 3)) (neg.f64 (log.f64 (fma.f64 (.f64 x (fma.f64 x 1/2 -1)) (fma.f64 x (fma.f64 x 1/2 -1) -1) 1))))
(-.f64 (log1p.f64 (pow.f64 (.f64 x (fma.f64 x 1/2 -1)) 3)) (log.f64 (fma.f64 x (.f64 (fma.f64 x 1/2 -1) (fma.f64 x (fma.f64 x 1/2 -1) -1)) 1)))
(-.f64 (log1p.f64 (pow.f64 (.f64 x (fma.f64 x 1/2 -1)) 3)) (log1p.f64 (.f64 x (*.f64 (fma.f64 x 1/2 -1) (fma.f64 x (fma.f64 x 1/2 -1) -1)))))
(+.f64 (log1p.f64 (neg.f64 (pow.f64 (.f64 x (fma.f64 x 1/2 -1)) 2))) (log.f64 (/.f64 1 (-.f64 1 (.f64 x (fma.f64 x 1/2 -1))))))
(+.f64 (log1p.f64 (neg.f64 (pow.f64 (.f64 x (fma.f64 x 1/2 -1)) 2))) (neg.f64 (log.f64 (-.f64 1 (.f64 x (fma.f64 x 1/2 -1))))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (.f64 x (fma.f64 x 1/2 -1)) 2))) (log1p.f64 (.f64 x (neg.f64 (fma.f64 x 1/2 -1)))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (.f64 x (fma.f64 x 1/2 -1)) 2))) (log1p.f64 (.f64 x (-.f64 1 (*.f64 x 1/2)))))
(+.f64 (.f64 1/3 (log1p.f64 (.f64 x (fma.f64 x 1/2 -1)))) (.f64 2 (.f64 1/3 (log1p.f64 (*.f64 x (fma.f64 x 1/2 -1))))))
(log1p.f64 (*.f64 x (fma.f64 x 1/2 -1)))
(+.f64 (log.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 1/2 -1) 1))) (log.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 1/2 -1) 1))))
(*.f64 2 (log.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 1/2 -1) 1))))
(+.f64 (.f64 2 (.f64 1/3 (log1p.f64 (.f64 x (fma.f64 x 1/2 -1))))) (.f64 1/3 (log1p.f64 (*.f64 x (fma.f64 x 1/2 -1)))))
(log1p.f64 (*.f64 x (fma.f64 x 1/2 -1)))
(-.f64 0 (log.f64 (/.f64 (fma.f64 (.f64 x (fma.f64 x 1/2 -1)) (fma.f64 x (fma.f64 x 1/2 -1) -1) 1) (+.f64 1 (pow.f64 (.f64 x (fma.f64 x 1/2 -1)) 3)))))
(+.f64 (log1p.f64 (pow.f64 (.f64 x (fma.f64 x 1/2 -1)) 3)) (neg.f64 (log.f64 (fma.f64 (.f64 x (fma.f64 x 1/2 -1)) (fma.f64 x (fma.f64 x 1/2 -1) -1) 1))))
(-.f64 (log1p.f64 (pow.f64 (.f64 x (fma.f64 x 1/2 -1)) 3)) (log.f64 (fma.f64 x (.f64 (fma.f64 x 1/2 -1) (fma.f64 x (fma.f64 x 1/2 -1) -1)) 1)))
(-.f64 (log1p.f64 (pow.f64 (.f64 x (fma.f64 x 1/2 -1)) 3)) (log1p.f64 (.f64 x (*.f64 (fma.f64 x 1/2 -1) (fma.f64 x (fma.f64 x 1/2 -1) -1)))))
(-.f64 0 (log.f64 (/.f64 (-.f64 1 (.f64 x (fma.f64 x 1/2 -1))) (-.f64 1 (pow.f64 (.f64 x (fma.f64 x 1/2 -1)) 2)))))
(+.f64 (log1p.f64 (neg.f64 (pow.f64 (.f64 x (fma.f64 x 1/2 -1)) 2))) (neg.f64 (log.f64 (-.f64 1 (.f64 x (fma.f64 x 1/2 -1))))))
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(*.f64 x (fma.f64 x 1/2 -1))
(fma.f64 (.f64 x (sqrt.f64 1/2)) (.f64 x (sqrt.f64 1/2)) (neg.f64 x))
(-.f64 (.f64 x (.f64 x 1/2)) x)
(*.f64 x (fma.f64 x 1/2 -1))
(fma.f64 (.f64 x (sqrt.f64 1/2)) (.f64 x (sqrt.f64 1/2)) (*.f64 (neg.f64 x) 1))
(-.f64 (.f64 x (.f64 x 1/2)) x)
(*.f64 x (fma.f64 x 1/2 -1))
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) (.f64 x (.f64 x 1/2)))
(-.f64 (.f64 x (.f64 x 1/2)) x)
(*.f64 x (fma.f64 x 1/2 -1))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (.f64 x 1/2)) (neg.f64 x))
(-.f64 (.f64 x (.f64 x 1/2)) x)
(*.f64 x (fma.f64 x 1/2 -1))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (.f64 x 1/2)) (*.f64 (neg.f64 x) 1))
(-.f64 (.f64 x (.f64 x 1/2)) x)
(*.f64 x (fma.f64 x 1/2 -1))
(fma.f64 (sqrt.f64 (.f64 x (fma.f64 x 1/2 -1))) (sqrt.f64 (.f64 x (fma.f64 x 1/2 -1))) (fma.f64 (neg.f64 x) 1 x))
(-.f64 (.f64 x (.f64 x 1/2)) x)
(*.f64 x (fma.f64 x 1/2 -1))
(fma.f64 (sqrt.f64 (.f64 x (fma.f64 x 1/2 -1))) (sqrt.f64 (.f64 x (fma.f64 x 1/2 -1))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(-.f64 (.f64 x (.f64 x 1/2)) x)
(*.f64 x (fma.f64 x 1/2 -1))
(fma.f64 (sqrt.f64 (.f64 x (fma.f64 x 1/2 -1))) (sqrt.f64 (.f64 x (fma.f64 x 1/2 -1))) (+.f64 (neg.f64 x) x))
(-.f64 (.f64 x (.f64 x 1/2)) x)
(*.f64 x (fma.f64 x 1/2 -1))
(fma.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 1/2 -1) 1)) (sqrt.f64 (fma.f64 x (fma.f64 x 1/2 -1) 1)) -1)
(-.f64 (.f64 x (.f64 x 1/2)) x)
(*.f64 x (fma.f64 x 1/2 -1))
(fma.f64 (sqrt.f64 (.f64 x 1/2)) (.f64 (sqrt.f64 (*.f64 x 1/2)) x) (neg.f64 x))
(-.f64 (.f64 x (.f64 x 1/2)) x)
(*.f64 x (fma.f64 x 1/2 -1))
(fma.f64 (sqrt.f64 (.f64 x 1/2)) (.f64 (sqrt.f64 (.f64 x 1/2)) x) (.f64 (neg.f64 x) 1))
(-.f64 (.f64 x (.f64 x 1/2)) x)
(*.f64 x (fma.f64 x 1/2 -1))
(fma.f64 (+.f64 1 (pow.f64 (.f64 x (fma.f64 x 1/2 -1)) 3)) (/.f64 1 (fma.f64 (.f64 x (fma.f64 x 1/2 -1)) (fma.f64 x (fma.f64 x 1/2 -1) -1) 1)) -1)
(fma.f64 (+.f64 1 (pow.f64 (.f64 x (fma.f64 x 1/2 -1)) 3)) (/.f64 1 (fma.f64 x (.f64 (fma.f64 x 1/2 -1) (fma.f64 x (fma.f64 x 1/2 -1) -1)) 1)) -1)
(+.f64 -1 (/.f64 (+.f64 1 (pow.f64 (.f64 x (fma.f64 x 1/2 -1)) 3)) (fma.f64 x (.f64 (fma.f64 x 1/2 -1) (fma.f64 x (fma.f64 x 1/2 -1) -1)) 1)))
(fma.f64 (-.f64 (.f64 (pow.f64 x 6) 1/8) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (fma.f64 x (.f64 x 1/2) x) (*.f64 (pow.f64 x 4) 1/4))) (fma.f64 (neg.f64 x) 1 x))
(/.f64 (.f64 (-.f64 (.f64 1/8 (pow.f64 x 6)) (pow.f64 x 3)) 1) (fma.f64 x (fma.f64 x (.f64 x 1/2) x) (.f64 (pow.f64 x 4) 1/4)))
(/.f64 (-.f64 (.f64 1/8 (pow.f64 x 6)) (pow.f64 x 3)) (fma.f64 x (fma.f64 x (.f64 x 1/2) x) (*.f64 (pow.f64 x 4) 1/4)))
(/.f64 (fma.f64 1/8 (pow.f64 x 6) (pow.f64 (neg.f64 x) 3)) (fma.f64 x (.f64 x (fma.f64 x 1/2 1)) (.f64 (pow.f64 x 4) 1/4)))
(fma.f64 (-.f64 (.f64 (pow.f64 x 6) 1/8) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (fma.f64 x (.f64 x 1/2) x) (*.f64 (pow.f64 x 4) 1/4))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(/.f64 (.f64 (-.f64 (.f64 1/8 (pow.f64 x 6)) (pow.f64 x 3)) 1) (fma.f64 x (fma.f64 x (.f64 x 1/2) x) (.f64 (pow.f64 x 4) 1/4)))
(/.f64 (-.f64 (.f64 1/8 (pow.f64 x 6)) (pow.f64 x 3)) (fma.f64 x (fma.f64 x (.f64 x 1/2) x) (*.f64 (pow.f64 x 4) 1/4)))
(/.f64 (fma.f64 1/8 (pow.f64 x 6) (pow.f64 (neg.f64 x) 3)) (fma.f64 x (.f64 x (fma.f64 x 1/2 1)) (.f64 (pow.f64 x 4) 1/4)))
(fma.f64 (-.f64 (.f64 (pow.f64 x 6) 1/8) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (fma.f64 x (.f64 x 1/2) x) (*.f64 (pow.f64 x 4) 1/4))) (+.f64 (neg.f64 x) x))
(/.f64 (.f64 (-.f64 (.f64 1/8 (pow.f64 x 6)) (pow.f64 x 3)) 1) (fma.f64 x (fma.f64 x (.f64 x 1/2) x) (.f64 (pow.f64 x 4) 1/4)))
(/.f64 (-.f64 (.f64 1/8 (pow.f64 x 6)) (pow.f64 x 3)) (fma.f64 x (fma.f64 x (.f64 x 1/2) x) (*.f64 (pow.f64 x 4) 1/4)))
(/.f64 (fma.f64 1/8 (pow.f64 x 6) (pow.f64 (neg.f64 x) 3)) (fma.f64 x (.f64 x (fma.f64 x 1/2 1)) (.f64 (pow.f64 x 4) 1/4)))
(fma.f64 (-.f64 1 (pow.f64 (.f64 x (fma.f64 x 1/2 -1)) 2)) (/.f64 1 (-.f64 1 (.f64 x (fma.f64 x 1/2 -1)))) -1)
(+.f64 -1 (/.f64 (-.f64 1 (pow.f64 (.f64 x (fma.f64 x 1/2 -1)) 2)) (-.f64 1 (.f64 x (fma.f64 x 1/2 -1)))))
(fma.f64 (-.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 x x)) (/.f64 1 (fma.f64 x (*.f64 x 1/2) x)) (fma.f64 (neg.f64 x) 1 x))
(.f64 (-.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 x x)) (/.f64 1 (fma.f64 x (.f64 x 1/2) x)))
(/.f64 (-.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 x x)) (fma.f64 x (*.f64 x 1/2) x))
(/.f64 (-.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 x x)) (*.f64 x (fma.f64 x 1/2 1)))
(fma.f64 (-.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 x x)) (/.f64 1 (fma.f64 x (*.f64 x 1/2) x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(.f64 (-.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 x x)) (/.f64 1 (fma.f64 x (.f64 x 1/2) x)))
(/.f64 (-.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 x x)) (fma.f64 x (*.f64 x 1/2) x))
(/.f64 (-.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 x x)) (*.f64 x (fma.f64 x 1/2 1)))
(fma.f64 (-.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 x x)) (/.f64 1 (fma.f64 x (*.f64 x 1/2) x)) (+.f64 (neg.f64 x) x))
(.f64 (-.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 x x)) (/.f64 1 (fma.f64 x (.f64 x 1/2) x)))
(/.f64 (-.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 x x)) (fma.f64 x (*.f64 x 1/2) x))
(/.f64 (-.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 x x)) (*.f64 x (fma.f64 x 1/2 1)))
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 x)) 2) (cbrt.f64 (neg.f64 x)) (.f64 x (.f64 x 1/2)))
(-.f64 (.f64 x (.f64 x 1/2)) x)
(*.f64 x (fma.f64 x 1/2 -1))
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (.f64 x (.f64 x 1/2)))
(-.f64 (.f64 x (.f64 x 1/2)) x)
(*.f64 x (fma.f64 x 1/2 -1))
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) (.f64 x (.f64 x 1/2)))
(-.f64 (.f64 x (.f64 x 1/2)) x)
(*.f64 x (fma.f64 x 1/2 -1))
(fma.f64 -1 x (.f64 x (.f64 x 1/2)))
(-.f64 (.f64 x (.f64 x 1/2)) x)
(*.f64 x (fma.f64 x 1/2 -1))
(fma.f64 (fma.f64 x (sqrt.f64 1/2) (sqrt.f64 x)) (-.f64 (*.f64 x (sqrt.f64 1/2)) (sqrt.f64 x)) (fma.f64 (neg.f64 x) 1 x))
(-.f64 (.f64 x (.f64 x 1/2)) x)
(*.f64 x (fma.f64 x 1/2 -1))
(fma.f64 (fma.f64 x (sqrt.f64 1/2) (sqrt.f64 x)) (-.f64 (*.f64 x (sqrt.f64 1/2)) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(-.f64 (.f64 x (.f64 x 1/2)) x)
(*.f64 x (fma.f64 x 1/2 -1))
(fma.f64 (fma.f64 x (sqrt.f64 1/2) (sqrt.f64 x)) (-.f64 (*.f64 x (sqrt.f64 1/2)) (sqrt.f64 x)) (+.f64 (neg.f64 x) x))
(-.f64 (.f64 x (.f64 x 1/2)) x)
(*.f64 x (fma.f64 x 1/2 -1))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 x (.f64 x 1/2)))
(-.f64 (.f64 x (.f64 x 1/2)) x)
(*.f64 x (fma.f64 x 1/2 -1))
(fma.f64 (.f64 x (cbrt.f64 (pow.f64 (.f64 x 1/2) 2))) (cbrt.f64 (*.f64 x 1/2)) (neg.f64 x))
(fma.f64 (cbrt.f64 (pow.f64 (.f64 x 1/2) 2)) (.f64 x (cbrt.f64 (*.f64 x 1/2))) (neg.f64 x))
(.f64 x (+.f64 -1 (.f64 (cbrt.f64 (pow.f64 (.f64 x 1/2) 2)) (cbrt.f64 (.f64 x 1/2)))))
(fma.f64 (.f64 x (cbrt.f64 (pow.f64 (.f64 x 1/2) 2))) (cbrt.f64 (.f64 x 1/2)) (.f64 (neg.f64 x) 1))
(fma.f64 (cbrt.f64 (pow.f64 (.f64 x 1/2) 2)) (.f64 x (cbrt.f64 (*.f64 x 1/2))) (neg.f64 x))
(.f64 x (+.f64 -1 (.f64 (cbrt.f64 (pow.f64 (.f64 x 1/2) 2)) (cbrt.f64 (.f64 x 1/2)))))
(fma.f64 (.f64 x (sqrt.f64 (.f64 x 1/2))) (sqrt.f64 (*.f64 x 1/2)) (neg.f64 x))
(-.f64 (.f64 x (.f64 x 1/2)) x)
(*.f64 x (fma.f64 x 1/2 -1))
(fma.f64 (.f64 x (sqrt.f64 (.f64 x 1/2))) (sqrt.f64 (.f64 x 1/2)) (.f64 (neg.f64 x) 1))
(-.f64 (.f64 x (.f64 x 1/2)) x)
(*.f64 x (fma.f64 x 1/2 -1))
(fma.f64 (.f64 (.f64 x 1/2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (neg.f64 x))
(-.f64 (.f64 x (.f64 x 1/2)) x)
(*.f64 x (fma.f64 x 1/2 -1))
(fma.f64 (.f64 (.f64 x 1/2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (neg.f64 x) 1))
(-.f64 (.f64 x (.f64 x 1/2)) x)
(*.f64 x (fma.f64 x 1/2 -1))
(fma.f64 (.f64 (.f64 x 1/2) (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 x))
(-.f64 (.f64 x (.f64 x 1/2)) x)
(*.f64 x (fma.f64 x 1/2 -1))
(fma.f64 (.f64 (.f64 x 1/2) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (neg.f64 x) 1))
(-.f64 (.f64 x (.f64 x 1/2)) x)
(*.f64 x (fma.f64 x 1/2 -1))

localize23.0ms (0.3%)

Local Accuracy

Found 1 expressions with local accuracy:

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

Compiler

Compiled 34 to 25 computations (26.5% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite72.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1504×	`prod-diff`
964×	`log-prod`
578×	`fma-def`
562×	`pow-prod-down`
464×	`pow-prod-up`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	216	19
2	2770	19

Stop Event

1×	node limit

Counts

1 → 42

Calls

Call 1

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

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

simplify70.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1006×	`fma-def`
990×	`times-frac`
844×	`associate-+l-`
596×	`associate-+r-`
588×	`fma-neg`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	191	2112
1	456	2022
2	1313	1962
3	4674	1930

Stop Event

1×	node limit

Counts

54 → 117

Calls

Call 1

Inputs
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (.f64 4 (pow.f64 x 2)) (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 x))))
(+.f64 (.f64 4 (pow.f64 x 2)) (+.f64 (log.f64 -1/2) (+.f64 (.f64 -8 (pow.f64 x 4)) (*.f64 -1 (log.f64 x)))))
(+.f64 (.f64 4 (pow.f64 x 2)) (+.f64 (log.f64 -1/2) (+.f64 (.f64 -8 (pow.f64 x 4)) (+.f64 (.f64 64/3 (pow.f64 x 6)) (.f64 -1 (log.f64 x))))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -2))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (log.f64 -2)))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 -2) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 1/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 -2) (+.f64 (.f64 1/192 (/.f64 1 (pow.f64 x 6))) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (.f64 1/32 (/.f64 1 (pow.f64 x 4))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 1/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (+.f64 (.f64 1/192 (/.f64 1 (pow.f64 x 6))) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (.f64 1/32 (/.f64 1 (pow.f64 x 4))))
(+.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x))) 0)
(+.f64 0 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x))))
(+.f64 (log.f64 (-.f64 (.f64 4 (.f64 x x)) (/.f64 1/4 (*.f64 x x)))) (log.f64 (/.f64 1 (fma.f64 x -2 (/.f64 1/2 x)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (fma.f64 x -2 (/.f64 -1/2 x))))) (log.f64 (cbrt.f64 (fma.f64 x -2 (/.f64 -1/2 x)))))
(+.f64 (log.f64 (-.f64 (.f64 -8 (pow.f64 x 3)) (.f64 1/8 (pow.f64 x -3)))) (log.f64 (/.f64 1 (fma.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x)) (.f64 4 (.f64 x x))))))
(+.f64 (log.f64 (cbrt.f64 (fma.f64 x -2 (/.f64 -1/2 x)))) (*.f64 2 (log.f64 (cbrt.f64 (fma.f64 x -2 (/.f64 -1/2 x))))))
(+.f64 (log.f64 (sqrt.f64 (fma.f64 x -2 (/.f64 -1/2 x)))) (log.f64 (sqrt.f64 (fma.f64 x -2 (/.f64 -1/2 x)))))
(+.f64 (log.f64 (+.f64 (sqrt.f64 (.f64 x -2)) (sqrt.f64 (/.f64 1/2 x)))) (log.f64 (-.f64 (sqrt.f64 (.f64 x -2)) (sqrt.f64 (/.f64 1/2 x)))))
(-.f64 0 (log.f64 (/.f64 (fma.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x)) (.f64 4 (.f64 x x))) (-.f64 (.f64 -8 (pow.f64 x 3)) (.f64 1/8 (pow.f64 x -3))))))
(-.f64 0 (log.f64 (/.f64 (fma.f64 x -2 (/.f64 1/2 x)) (-.f64 (.f64 4 (.f64 x x)) (/.f64 1/4 (*.f64 x x))))))
(-.f64 (log.f64 (-.f64 (.f64 4 (.f64 x x)) (/.f64 1/4 (*.f64 x x)))) (log.f64 (fma.f64 x -2 (/.f64 1/2 x))))
(-.f64 (log.f64 (-.f64 (.f64 -8 (pow.f64 x 3)) (.f64 1/8 (pow.f64 x -3)))) (log.f64 (fma.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x)) (.f64 4 (.f64 x x)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x))))) 1)
(-.f64 (log.f64 (neg.f64 (-.f64 (.f64 -8 (pow.f64 x 3)) (.f64 1/8 (pow.f64 x -3))))) (log.f64 (neg.f64 (fma.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x)) (.f64 4 (.f64 x x))))))
(-.f64 (log.f64 (neg.f64 (-.f64 (.f64 4 (.f64 x x)) (/.f64 1/4 (*.f64 x x))))) (log.f64 (neg.f64 (fma.f64 x -2 (/.f64 1/2 x)))))
(-.f64 (log.f64 (fma.f64 -8 (pow.f64 x 3) (pow.f64 (/.f64 -1/2 x) 3))) (log.f64 (fma.f64 4 (.f64 x x) (-.f64 (pow.f64 (/.f64 -1/2 x) 2) (.f64 (*.f64 x -2) (/.f64 -1/2 x))))))
(-.f64 (log.f64 (-.f64 (.f64 4 (.f64 x x)) (pow.f64 (/.f64 -1/2 x) 2))) (log.f64 (-.f64 (*.f64 x -2) (/.f64 -1/2 x))))
(*.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x))) 1)
(*.f64 1 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x))))
(*.f64 (cbrt.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))) 2) (cbrt.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))))
(*.f64 (sqrt.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))) (sqrt.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))))
(*.f64 3 (log.f64 (cbrt.f64 (fma.f64 x -2 (/.f64 -1/2 x)))))
(*.f64 2 (log.f64 (sqrt.f64 (fma.f64 x -2 (/.f64 -1/2 x)))))
(.f64 1/3 (.f64 3 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))))
(pow.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x))) 1)
(pow.f64 (cbrt.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x))) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))) 2)
(neg.f64 (log.f64 (/.f64 (fma.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x)) (.f64 4 (.f64 x x))) (-.f64 (.f64 -8 (pow.f64 x 3)) (.f64 1/8 (pow.f64 x -3))))))
(neg.f64 (log.f64 (/.f64 (fma.f64 x -2 (/.f64 1/2 x)) (-.f64 (.f64 4 (.f64 x x)) (/.f64 1/4 (*.f64 x x))))))
(sqrt.f64 (pow.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))))
(exp.f64 (log.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x))))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x))))) 2))
(log1p.f64 (-.f64 (fma.f64 x -2 (/.f64 -1/2 x)) 1))

Outputs
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 -1/2) (neg.f64 (log.f64 x)))
(-.f64 (log.f64 -1/2) (log.f64 x))
(log.f64 (/.f64 -1/2 x))
(+.f64 (.f64 4 (pow.f64 x 2)) (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 x))))
(fma.f64 4 (*.f64 x x) (+.f64 (log.f64 -1/2) (neg.f64 (log.f64 x))))
(-.f64 (fma.f64 4 (*.f64 x x) (log.f64 -1/2)) (log.f64 x))
(-.f64 (fma.f64 x (*.f64 x 4) (log.f64 -1/2)) (log.f64 x))
(fma.f64 x (*.f64 x 4) (log.f64 (/.f64 -1/2 x)))
(+.f64 (.f64 4 (pow.f64 x 2)) (+.f64 (log.f64 -1/2) (+.f64 (.f64 -8 (pow.f64 x 4)) (*.f64 -1 (log.f64 x)))))
(fma.f64 4 (*.f64 x x) (+.f64 (log.f64 -1/2) (fma.f64 -8 (pow.f64 x 4) (neg.f64 (log.f64 x)))))
(+.f64 (-.f64 (fma.f64 4 (.f64 x x) (log.f64 -1/2)) (log.f64 x)) (.f64 -8 (pow.f64 x 4)))
(-.f64 (fma.f64 x (*.f64 x 4) (fma.f64 -8 (pow.f64 x 4) (log.f64 -1/2))) (log.f64 x))
(fma.f64 x (*.f64 x 4) (fma.f64 -8 (pow.f64 x 4) (log.f64 (/.f64 -1/2 x))))
(+.f64 (.f64 4 (pow.f64 x 2)) (+.f64 (log.f64 -1/2) (+.f64 (.f64 -8 (pow.f64 x 4)) (+.f64 (.f64 64/3 (pow.f64 x 6)) (.f64 -1 (log.f64 x))))))
(fma.f64 4 (*.f64 x x) (+.f64 (log.f64 -1/2) (fma.f64 -8 (pow.f64 x 4) (fma.f64 64/3 (pow.f64 x 6) (neg.f64 (log.f64 x))))))
(+.f64 (fma.f64 -8 (pow.f64 x 4) (fma.f64 64/3 (pow.f64 x 6) (neg.f64 (log.f64 x)))) (fma.f64 4 (*.f64 x x) (log.f64 -1/2)))
(+.f64 (-.f64 (fma.f64 x (.f64 x 4) (log.f64 -1/2)) (log.f64 x)) (fma.f64 -8 (pow.f64 x 4) (.f64 64/3 (pow.f64 x 6))))
(fma.f64 x (*.f64 x 4) (fma.f64 -8 (pow.f64 x 4) (fma.f64 64/3 (pow.f64 x 6) (log.f64 (/.f64 -1/2 x)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -2))
(fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -2))
(+.f64 (log.f64 x) (log.f64 -2))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (log.f64 -2)))
(+.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -2)) (/.f64 1/4 (*.f64 x x)))
(+.f64 (log.f64 -2) (+.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x))))
(+.f64 (log.f64 x) (-.f64 (log.f64 -2) (/.f64 (/.f64 -1/4 x) x)))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 -2) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 1/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -2)) (/.f64 1/4 (*.f64 x x))) (/.f64 1/32 (pow.f64 x 4)))
(+.f64 (log.f64 x) (+.f64 (/.f64 1/4 (*.f64 x x)) (-.f64 (log.f64 -2) (/.f64 1/32 (pow.f64 x 4)))))
(+.f64 (log.f64 x) (+.f64 (/.f64 1/4 (*.f64 x x)) (+.f64 (log.f64 -2) (/.f64 -1/32 (pow.f64 x 4)))))
(+.f64 (log.f64 -2) (+.f64 (/.f64 -1/32 (pow.f64 x 4)) (+.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x)))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 -2) (+.f64 (.f64 1/192 (/.f64 1 (pow.f64 x 6))) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (.f64 1/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -2)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/192 (pow.f64 x 6)))) (/.f64 1/32 (pow.f64 x 4)))
(+.f64 (log.f64 x) (+.f64 (log.f64 -2) (-.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/192 (pow.f64 x 6))) (/.f64 1/32 (pow.f64 x 4)))))
(+.f64 (log.f64 x) (+.f64 (/.f64 1/4 (*.f64 x x)) (+.f64 (/.f64 1/192 (pow.f64 x 6)) (+.f64 (log.f64 -2) (/.f64 -1/32 (pow.f64 x 4))))))
(+.f64 (log.f64 -2) (+.f64 (+.f64 (-.f64 (/.f64 1/192 (pow.f64 x 6)) (/.f64 (/.f64 -1/4 x) x)) (/.f64 -1/32 (pow.f64 x 4))) (log.f64 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 2))
(-.f64 (log.f64 2) (log.f64 (/.f64 -1 x)))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 1/4 (*.f64 x x)) (log.f64 2)))
(+.f64 (/.f64 1/4 (*.f64 x x)) (-.f64 (log.f64 2) (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 2) (-.f64 (/.f64 1/4 (*.f64 x x)) (log.f64 (/.f64 -1 x))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 1/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 1/4 (*.f64 x x)) (log.f64 2))) (/.f64 1/32 (pow.f64 x 4)))
(+.f64 (-.f64 (log.f64 2) (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 -1/32 (pow.f64 x 4))))
(+.f64 (log.f64 2) (+.f64 (-.f64 (/.f64 1/4 (*.f64 x x)) (log.f64 (/.f64 -1 x))) (/.f64 -1/32 (pow.f64 x 4))))
(+.f64 (/.f64 1/4 (*.f64 x x)) (-.f64 (+.f64 (log.f64 2) (/.f64 -1/32 (pow.f64 x 4))) (log.f64 (/.f64 -1 x))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (+.f64 (.f64 1/192 (/.f64 1 (pow.f64 x 6))) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (.f64 1/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 2)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/192 (pow.f64 x 6)))) (/.f64 1/32 (pow.f64 x 4)))
(+.f64 (-.f64 (log.f64 2) (log.f64 (/.f64 -1 x))) (+.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/192 (pow.f64 x 6))) (/.f64 -1/32 (pow.f64 x 4))))
(+.f64 (+.f64 (log.f64 2) (-.f64 (/.f64 1/4 (*.f64 x x)) (log.f64 (/.f64 -1 x)))) (+.f64 (/.f64 1/192 (pow.f64 x 6)) (/.f64 -1/32 (pow.f64 x 4))))
(-.f64 (+.f64 (+.f64 (/.f64 -1/32 (pow.f64 x 4)) (log.f64 2)) (-.f64 (/.f64 1/192 (pow.f64 x 6)) (/.f64 (/.f64 -1/4 x) x))) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x))) 0)
(log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))
(+.f64 0 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x))))
(log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))
(+.f64 (log.f64 (-.f64 (.f64 4 (.f64 x x)) (/.f64 1/4 (*.f64 x x)))) (log.f64 (/.f64 1 (fma.f64 x -2 (/.f64 1/2 x)))))
(-.f64 (log.f64 (-.f64 (.f64 4 (.f64 x x)) (/.f64 1/4 (*.f64 x x)))) (log.f64 (fma.f64 x -2 (/.f64 1/2 x))))
(-.f64 (log.f64 (fma.f64 4 (.f64 x x) (/.f64 -1/4 (.f64 x x)))) (log.f64 (fma.f64 x -2 (/.f64 1/2 x))))
(-.f64 (log.f64 (fma.f64 x (*.f64 x 4) (/.f64 (/.f64 -1/4 x) x))) (log.f64 (fma.f64 x -2 (/.f64 1/2 x))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (fma.f64 x -2 (/.f64 -1/2 x))))) (log.f64 (cbrt.f64 (fma.f64 x -2 (/.f64 -1/2 x)))))
(*.f64 (log.f64 (cbrt.f64 (fma.f64 x -2 (/.f64 -1/2 x)))) 3)
(+.f64 (log.f64 (-.f64 (.f64 -8 (pow.f64 x 3)) (.f64 1/8 (pow.f64 x -3)))) (log.f64 (/.f64 1 (fma.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x)) (.f64 4 (.f64 x x))))))
(-.f64 (log.f64 (+.f64 (.f64 -8 (pow.f64 x 3)) (.f64 -1/8 (pow.f64 x -3)))) (log.f64 (fma.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x)) (.f64 4 (.f64 x x)))))
(-.f64 (log.f64 (fma.f64 -8 (pow.f64 x 3) (.f64 (pow.f64 x -3) -1/8))) (log.f64 (fma.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x)) (.f64 x (*.f64 x 4)))))
(neg.f64 (log.f64 (/.f64 (+.f64 -1 (fma.f64 x (.f64 x 4) (/.f64 1/4 (.f64 x x)))) (fma.f64 -8 (pow.f64 x 3) (*.f64 (pow.f64 x -3) -1/8)))))
(-.f64 (log.f64 (fma.f64 (pow.f64 x -3) -1/8 (.f64 -8 (pow.f64 x 3)))) (log.f64 (fma.f64 x (.f64 x 4) (+.f64 -1 (/.f64 1/4 (*.f64 x x))))))
(+.f64 (log.f64 (cbrt.f64 (fma.f64 x -2 (/.f64 -1/2 x)))) (*.f64 2 (log.f64 (cbrt.f64 (fma.f64 x -2 (/.f64 -1/2 x))))))
(*.f64 (log.f64 (cbrt.f64 (fma.f64 x -2 (/.f64 -1/2 x)))) 3)
(+.f64 (log.f64 (sqrt.f64 (fma.f64 x -2 (/.f64 -1/2 x)))) (log.f64 (sqrt.f64 (fma.f64 x -2 (/.f64 -1/2 x)))))
(*.f64 2 (log.f64 (sqrt.f64 (fma.f64 x -2 (/.f64 -1/2 x)))))
(+.f64 (log.f64 (+.f64 (sqrt.f64 (.f64 x -2)) (sqrt.f64 (/.f64 1/2 x)))) (log.f64 (-.f64 (sqrt.f64 (.f64 x -2)) (sqrt.f64 (/.f64 1/2 x)))))
(-.f64 0 (log.f64 (/.f64 (fma.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x)) (.f64 4 (.f64 x x))) (-.f64 (.f64 -8 (pow.f64 x 3)) (.f64 1/8 (pow.f64 x -3))))))
(-.f64 (log.f64 (+.f64 (.f64 -8 (pow.f64 x 3)) (.f64 -1/8 (pow.f64 x -3)))) (log.f64 (fma.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x)) (.f64 4 (.f64 x x)))))
(-.f64 (log.f64 (fma.f64 -8 (pow.f64 x 3) (.f64 (pow.f64 x -3) -1/8))) (log.f64 (fma.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x)) (.f64 x (*.f64 x 4)))))
(neg.f64 (log.f64 (/.f64 (+.f64 -1 (fma.f64 x (.f64 x 4) (/.f64 1/4 (.f64 x x)))) (fma.f64 -8 (pow.f64 x 3) (*.f64 (pow.f64 x -3) -1/8)))))
(-.f64 (log.f64 (fma.f64 (pow.f64 x -3) -1/8 (.f64 -8 (pow.f64 x 3)))) (log.f64 (fma.f64 x (.f64 x 4) (+.f64 -1 (/.f64 1/4 (*.f64 x x))))))
(-.f64 0 (log.f64 (/.f64 (fma.f64 x -2 (/.f64 1/2 x)) (-.f64 (.f64 4 (.f64 x x)) (/.f64 1/4 (*.f64 x x))))))
(-.f64 (log.f64 (-.f64 (.f64 4 (.f64 x x)) (/.f64 1/4 (*.f64 x x)))) (log.f64 (fma.f64 x -2 (/.f64 1/2 x))))
(-.f64 (log.f64 (fma.f64 4 (.f64 x x) (/.f64 -1/4 (.f64 x x)))) (log.f64 (fma.f64 x -2 (/.f64 1/2 x))))
(-.f64 (log.f64 (fma.f64 x (*.f64 x 4) (/.f64 (/.f64 -1/4 x) x))) (log.f64 (fma.f64 x -2 (/.f64 1/2 x))))
(-.f64 (log.f64 (-.f64 (.f64 4 (.f64 x x)) (/.f64 1/4 (*.f64 x x)))) (log.f64 (fma.f64 x -2 (/.f64 1/2 x))))
(-.f64 (log.f64 (fma.f64 4 (.f64 x x) (/.f64 -1/4 (.f64 x x)))) (log.f64 (fma.f64 x -2 (/.f64 1/2 x))))
(-.f64 (log.f64 (fma.f64 x (*.f64 x 4) (/.f64 (/.f64 -1/4 x) x))) (log.f64 (fma.f64 x -2 (/.f64 1/2 x))))
(-.f64 (log.f64 (-.f64 (.f64 -8 (pow.f64 x 3)) (.f64 1/8 (pow.f64 x -3)))) (log.f64 (fma.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x)) (.f64 4 (.f64 x x)))))
(-.f64 (log.f64 (+.f64 (.f64 -8 (pow.f64 x 3)) (.f64 -1/8 (pow.f64 x -3)))) (log.f64 (fma.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x)) (.f64 4 (.f64 x x)))))
(-.f64 (log.f64 (fma.f64 -8 (pow.f64 x 3) (.f64 (pow.f64 x -3) -1/8))) (log.f64 (fma.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x)) (.f64 x (*.f64 x 4)))))
(neg.f64 (log.f64 (/.f64 (+.f64 -1 (fma.f64 x (.f64 x 4) (/.f64 1/4 (.f64 x x)))) (fma.f64 -8 (pow.f64 x 3) (*.f64 (pow.f64 x -3) -1/8)))))
(-.f64 (log.f64 (fma.f64 (pow.f64 x -3) -1/8 (.f64 -8 (pow.f64 x 3)))) (log.f64 (fma.f64 x (.f64 x 4) (+.f64 -1 (/.f64 1/4 (*.f64 x x))))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x))))) 1)
(log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))
(-.f64 (log.f64 (neg.f64 (-.f64 (.f64 -8 (pow.f64 x 3)) (.f64 1/8 (pow.f64 x -3))))) (log.f64 (neg.f64 (fma.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x)) (.f64 4 (.f64 x x))))))
(-.f64 (log.f64 (neg.f64 (+.f64 (.f64 -8 (pow.f64 x 3)) (.f64 -1/8 (pow.f64 x -3))))) (log.f64 (neg.f64 (fma.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x)) (.f64 4 (.f64 x x))))))
(-.f64 (log.f64 (neg.f64 (fma.f64 -8 (pow.f64 x 3) (.f64 (pow.f64 x -3) -1/8)))) (log.f64 (neg.f64 (fma.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x)) (.f64 x (*.f64 x 4))))))
(-.f64 (log.f64 (+.f64 (.f64 1/8 (pow.f64 x -3)) (.f64 (pow.f64 x 3) 8))) (log.f64 (+.f64 (.f64 (.f64 x x) -4) (+.f64 1 (/.f64 (/.f64 -1/4 x) x)))))
(-.f64 (log.f64 (fma.f64 (pow.f64 x 3) 8 (.f64 1/8 (pow.f64 x -3)))) (log.f64 (fma.f64 x (.f64 x -4) (+.f64 1 (/.f64 (/.f64 -1/4 x) x)))))
(-.f64 (log.f64 (neg.f64 (-.f64 (.f64 4 (.f64 x x)) (/.f64 1/4 (*.f64 x x))))) (log.f64 (neg.f64 (fma.f64 x -2 (/.f64 1/2 x)))))
(-.f64 (log.f64 (neg.f64 (fma.f64 4 (.f64 x x) (/.f64 -1/4 (.f64 x x))))) (log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x))))
(-.f64 (log.f64 (+.f64 (/.f64 1/4 (.f64 x x)) (.f64 (*.f64 x x) -4))) (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))
(-.f64 (log.f64 (fma.f64 x (.f64 x -4) (/.f64 1/4 (.f64 x x)))) (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))
(-.f64 (log.f64 (fma.f64 -8 (pow.f64 x 3) (pow.f64 (/.f64 -1/2 x) 3))) (log.f64 (fma.f64 4 (.f64 x x) (-.f64 (pow.f64 (/.f64 -1/2 x) 2) (.f64 (*.f64 x -2) (/.f64 -1/2 x))))))
(-.f64 (log.f64 (fma.f64 -8 (pow.f64 x 3) (pow.f64 (/.f64 -1/2 x) 3))) (log.f64 (fma.f64 4 (.f64 x x) (-.f64 (pow.f64 (/.f64 -1/2 x) 2) (.f64 (/.f64 -1/2 x) (*.f64 x -2))))))
(-.f64 (log.f64 (fma.f64 -8 (pow.f64 x 3) (/.f64 -1/8 (pow.f64 x 3)))) (log.f64 (fma.f64 4 (.f64 x x) (-.f64 (pow.f64 (/.f64 -1/2 x) 2) (.f64 x (/.f64 1 x))))))
(-.f64 (log.f64 (fma.f64 -8 (pow.f64 x 3) (/.f64 -1/8 (pow.f64 x 3)))) (log.f64 (+.f64 -1 (fma.f64 x (.f64 x 4) (/.f64 1/4 (.f64 x x))))))
(-.f64 (log.f64 (fma.f64 -8 (pow.f64 x 3) (/.f64 -1/8 (pow.f64 x 3)))) (log.f64 (fma.f64 x (.f64 x 4) (+.f64 -1 (/.f64 1/4 (.f64 x x))))))
(-.f64 (log.f64 (-.f64 (.f64 4 (.f64 x x)) (pow.f64 (/.f64 -1/2 x) 2))) (log.f64 (-.f64 (*.f64 x -2) (/.f64 -1/2 x))))
(-.f64 (log.f64 (-.f64 (.f64 4 (.f64 x x)) (/.f64 1/4 (*.f64 x x)))) (log.f64 (fma.f64 x -2 (/.f64 1/2 x))))
(-.f64 (log.f64 (fma.f64 4 (.f64 x x) (/.f64 -1/4 (.f64 x x)))) (log.f64 (fma.f64 x -2 (/.f64 1/2 x))))
(-.f64 (log.f64 (fma.f64 x (*.f64 x 4) (/.f64 (/.f64 -1/4 x) x))) (log.f64 (fma.f64 x -2 (/.f64 1/2 x))))
(*.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x))) 1)
(log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))
(*.f64 1 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x))))
(log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))
(*.f64 (cbrt.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))) 2))
(log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))) 2) (cbrt.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))))
(log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))
(*.f64 (sqrt.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))) (sqrt.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))))
(log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))
(*.f64 3 (log.f64 (cbrt.f64 (fma.f64 x -2 (/.f64 -1/2 x)))))
(*.f64 (log.f64 (cbrt.f64 (fma.f64 x -2 (/.f64 -1/2 x)))) 3)
(*.f64 2 (log.f64 (sqrt.f64 (fma.f64 x -2 (/.f64 -1/2 x)))))
(.f64 1/3 (.f64 3 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))))
(log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))
(pow.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x))) 1)
(log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))
(pow.f64 (cbrt.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))) 3)
(log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))
(pow.f64 (pow.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x))) 2) 1/2)
(log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))
(pow.f64 (pow.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x))) 3) 1/3)
(log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))
(pow.f64 (sqrt.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))) 2)
(log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))
(neg.f64 (log.f64 (/.f64 (fma.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x)) (.f64 4 (.f64 x x))) (-.f64 (.f64 -8 (pow.f64 x 3)) (.f64 1/8 (pow.f64 x -3))))))
(-.f64 (log.f64 (+.f64 (.f64 -8 (pow.f64 x 3)) (.f64 -1/8 (pow.f64 x -3)))) (log.f64 (fma.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x)) (.f64 4 (.f64 x x)))))
(-.f64 (log.f64 (fma.f64 -8 (pow.f64 x 3) (.f64 (pow.f64 x -3) -1/8))) (log.f64 (fma.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x)) (.f64 x (*.f64 x 4)))))
(neg.f64 (log.f64 (/.f64 (+.f64 -1 (fma.f64 x (.f64 x 4) (/.f64 1/4 (.f64 x x)))) (fma.f64 -8 (pow.f64 x 3) (*.f64 (pow.f64 x -3) -1/8)))))
(-.f64 (log.f64 (fma.f64 (pow.f64 x -3) -1/8 (.f64 -8 (pow.f64 x 3)))) (log.f64 (fma.f64 x (.f64 x 4) (+.f64 -1 (/.f64 1/4 (*.f64 x x))))))
(neg.f64 (log.f64 (/.f64 (fma.f64 x -2 (/.f64 1/2 x)) (-.f64 (.f64 4 (.f64 x x)) (/.f64 1/4 (*.f64 x x))))))
(-.f64 (log.f64 (-.f64 (.f64 4 (.f64 x x)) (/.f64 1/4 (*.f64 x x)))) (log.f64 (fma.f64 x -2 (/.f64 1/2 x))))
(-.f64 (log.f64 (fma.f64 4 (.f64 x x) (/.f64 -1/4 (.f64 x x)))) (log.f64 (fma.f64 x -2 (/.f64 1/2 x))))
(-.f64 (log.f64 (fma.f64 x (*.f64 x 4) (/.f64 (/.f64 -1/4 x) x))) (log.f64 (fma.f64 x -2 (/.f64 1/2 x))))
(sqrt.f64 (pow.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x))) 2))
(log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))
(cbrt.f64 (pow.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x))) 3))
(log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))
(expm1.f64 (log1p.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))))
(log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))
(exp.f64 (log.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))))
(log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))
(exp.f64 (*.f64 (log.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))) 1))
(log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))
(exp.f64 (.f64 (.f64 (log.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))) 1) 1))
(log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x))))) 3))
(log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))
(exp.f64 (.f64 (.f64 3 (log.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x))))) 1/3))
(log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x))))) 2))
(log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))
(log1p.f64 (-.f64 (fma.f64 x -2 (/.f64 -1/2 x)) 1))
(log1p.f64 (+.f64 (fma.f64 x -2 (/.f64 -1/2 x)) -1))
(log1p.f64 (+.f64 -1 (fma.f64 x -2 (/.f64 -1/2 x))))
(log1p.f64 (+.f64 (/.f64 -1/2 x) (fma.f64 x -2 -1)))

localize9.0ms (0.1%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	99.8%	(.f64 (.f64 x x) (*.f64 x -1/6))
✓	99.6%	(*.f64 x -1/6)

Compiler

Compiled 25 to 12 computations (52% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(*.f64 x -1/6)
0.0ms	x	@	-inf	(*.f64 x -1/6)
0.0ms	x	@	inf	(*.f64 x -1/6)
0.0ms	x	@	-inf	(.f64 (.f64 x x) (*.f64 x -1/6))
0.0ms	x	@	inf	(.f64 (.f64 x x) (*.f64 x -1/6))

rewrite61.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1274×	`pow1`
1178×	`add-exp-log`
1178×	`log1p-expm1-u`
1178×	`expm1-log1p-u`
1152×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	26
1	143	20
2	1673	20

Stop Event

1×	node limit

Counts

2 → 22

Calls

Call 1

Inputs
(*.f64 x -1/6)
(.f64 (.f64 x x) (*.f64 x -1/6))

Outputs
(-.f64 (+.f64 1 (*.f64 x -1/6)) 1)
(pow.f64 (*.f64 x -1/6) 1)
(pow.f64 (cbrt.f64 (*.f64 x -1/6)) 3)
(pow.f64 (pow.f64 (*.f64 x -1/6) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x -1/6)) 2)
(sqrt.f64 (pow.f64 (*.f64 x -1/6) 2))
(log.f64 (pow.f64 (exp.f64 -1/6) x))
(cbrt.f64 (pow.f64 (*.f64 x -1/6) 3))
(expm1.f64 (log1p.f64 (*.f64 x -1/6)))
(exp.f64 (log.f64 (*.f64 x -1/6)))
(log1p.f64 (expm1.f64 (*.f64 x -1/6)))
(-.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) 1)
(pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)
(pow.f64 (*.f64 x (cbrt.f64 -1/6)) 3)
(pow.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3) 1/3)
(pow.f64 (.f64 x (sqrt.f64 (.f64 x -1/6))) 2)
(sqrt.f64 (.f64 (pow.f64 (.f64 x x) 3) 1/36))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6))
(cbrt.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3))
(expm1.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3))))
(exp.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3))))
(log1p.f64 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3))))

simplify46.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1880×	`log-prod`
1216×	`associate-r`
1060×	`fma-def`
1028×	`associate-l`
510×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	460
1	149	460
2	537	460
3	3594	460

Stop Event

1×	node limit

Counts

46 → 24

Calls

Call 1

Inputs
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(-.f64 (+.f64 1 (*.f64 x -1/6)) 1)
(pow.f64 (*.f64 x -1/6) 1)
(pow.f64 (cbrt.f64 (*.f64 x -1/6)) 3)
(pow.f64 (pow.f64 (*.f64 x -1/6) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x -1/6)) 2)
(sqrt.f64 (pow.f64 (*.f64 x -1/6) 2))
(log.f64 (pow.f64 (exp.f64 -1/6) x))
(cbrt.f64 (pow.f64 (*.f64 x -1/6) 3))
(expm1.f64 (log1p.f64 (*.f64 x -1/6)))
(exp.f64 (log.f64 (*.f64 x -1/6)))
(log1p.f64 (expm1.f64 (*.f64 x -1/6)))
(-.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) 1)
(pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)
(pow.f64 (*.f64 x (cbrt.f64 -1/6)) 3)
(pow.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3) 1/3)
(pow.f64 (.f64 x (sqrt.f64 (.f64 x -1/6))) 2)
(sqrt.f64 (.f64 (pow.f64 (.f64 x x) 3) 1/36))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6))
(cbrt.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3))
(expm1.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3))))
(exp.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3))))
(log1p.f64 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3))))

Outputs
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(-.f64 (+.f64 1 (*.f64 x -1/6)) 1)
(*.f64 -1/6 x)
(pow.f64 (*.f64 x -1/6) 1)
(*.f64 -1/6 x)
(pow.f64 (cbrt.f64 (*.f64 x -1/6)) 3)
(*.f64 -1/6 x)
(pow.f64 (pow.f64 (*.f64 x -1/6) 3) 1/3)
(*.f64 -1/6 x)
(pow.f64 (sqrt.f64 (*.f64 x -1/6)) 2)
(*.f64 -1/6 x)
(sqrt.f64 (pow.f64 (*.f64 x -1/6) 2))
(*.f64 -1/6 x)
(log.f64 (pow.f64 (exp.f64 -1/6) x))
(*.f64 -1/6 x)
(cbrt.f64 (pow.f64 (*.f64 x -1/6) 3))
(*.f64 -1/6 x)
(expm1.f64 (log1p.f64 (*.f64 x -1/6)))
(*.f64 -1/6 x)
(exp.f64 (log.f64 (*.f64 x -1/6)))
(*.f64 -1/6 x)
(log1p.f64 (expm1.f64 (*.f64 x -1/6)))
(*.f64 -1/6 x)
(-.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) 1)
(*.f64 -1/6 (pow.f64 x 3))
(pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)
(*.f64 -1/6 (pow.f64 x 3))
(pow.f64 (*.f64 x (cbrt.f64 -1/6)) 3)
(*.f64 -1/6 (pow.f64 x 3))
(pow.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3) 1/3)
(*.f64 -1/6 (pow.f64 x 3))
(pow.f64 (.f64 x (sqrt.f64 (.f64 x -1/6))) 2)
(*.f64 -1/6 (pow.f64 x 3))
(sqrt.f64 (.f64 (pow.f64 (.f64 x x) 3) 1/36))
(*.f64 -1/6 (pow.f64 x 3))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6))
(*.f64 -1/6 (pow.f64 x 3))
(cbrt.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3))
(*.f64 -1/6 (pow.f64 x 3))
(expm1.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3))))
(*.f64 -1/6 (pow.f64 x 3))
(exp.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3))))
(*.f64 -1/6 (pow.f64 x 3))
(log1p.f64 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3))))
(*.f64 -1/6 (pow.f64 x 3))

eval174.0ms (2.2%)

Compiler: Compiled 7021 to 5237 computations (25.4% saved)

prune93.0ms (1.2%)

Pruning

13 alts after pruning (2 fresh and 11 done)

	Pruned	Kept	Total
New	387	1	388
Fresh	0	1	1
Picked	0	1	1
Done	0	10	10
Total	387	13	400

Accurracy

100.0%

Counts

400 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	51.2%	(+.f64 (-.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) 1) x)
	51.2%	(+.f64 (.f64 (.f64 x x) (-.f64 (+.f64 1 (*.f64 x -1/6)) 1)) x)
✓	51.2%	(+.f64 (.f64 (.f64 x x) (*.f64 x -1/6)) x)
✓	30.4%	(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
✓	26.3%	(neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x))))
✓	7.0%	(neg.f64 (log.f64 (+.f64 1 (-.f64 (.f64 x (.f64 x 1/2)) x))))
✓	25.5%	(neg.f64 (log.f64 (*.f64 x -2)))
✓	1.0%	(log1p.f64 (-.f64 (/.f64 -1/2 x) 1))
✓	25.5%	(log.f64 (/.f64 -1/2 x))
✓	24.7%	(log.f64 (+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x))))
✓	28.3%	(log.f64 (+.f64 x (hypot.f64 1 x)))
✓	23.7%	(log.f64 (+.f64 x x))
	53.6%	x

Compiler

Compiled 109 to 82 computations (24.8% saved)

regimes54.0ms (0.7%)

Counts

18 → 3

Calls

Call 1

Inputs
x
(+.f64 (.f64 (.f64 x x) (*.f64 x -1/6)) x)
(+.f64 (.f64 (.f64 x x) (-.f64 (+.f64 1 (*.f64 x -1/6)) 1)) x)
(log.f64 (+.f64 x x))
(log.f64 (/.f64 -1/2 x))
(neg.f64 (log.f64 (*.f64 x -2)))
(log1p.f64 (-.f64 (/.f64 -1/2 x) 1))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x))))
(log.f64 (+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x))))
(neg.f64 (log.f64 (+.f64 1 (-.f64 (.f64 x (.f64 x 1/2)) x))))
(+.f64 (-.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) 1) x)
(log.f64 (/.f64 -1 (+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))

Outputs
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(+.f64 (.f64 (.f64 x x) (*.f64 x -1/6)) x)
(log.f64 (+.f64 x (hypot.f64 1 x)))

Calls

3 calls:

23.0ms	x
17.0ms	(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
11.0ms	(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))

Results

Accuracy	Segments	Branch
100.0%	3	`x`
89.1%	3	`(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))`
89.1%	3	`(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))`

Compiler

Compiled 163 to 116 computations (28.8% saved)

bsearch44.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	7.410481050251677e-5	0.39909115427131087
24.0ms	-0.9614097195678581	-2.820265562447002e-9

Results

41.0ms

272×

body

256

valid

Compiler

Compiled 346 to 240 computations (30.6% saved)

regimes37.0ms (0.5%)

Counts

14 → 3

Calls

Call 1

Inputs
x
(+.f64 (.f64 (.f64 x x) (*.f64 x -1/6)) x)
(+.f64 (.f64 (.f64 x x) (-.f64 (+.f64 1 (*.f64 x -1/6)) 1)) x)
(log.f64 (+.f64 x x))
(log.f64 (/.f64 -1/2 x))
(neg.f64 (log.f64 (*.f64 x -2)))
(log1p.f64 (-.f64 (/.f64 -1/2 x) 1))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x))))
(log.f64 (+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x))))
(neg.f64 (log.f64 (+.f64 1 (-.f64 (.f64 x (.f64 x 1/2)) x))))
(+.f64 (-.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) 1) x)
(log.f64 (/.f64 -1 (+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))

Outputs
(neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x))))
(+.f64 (.f64 (.f64 x x) (*.f64 x -1/6)) x)
(log.f64 (+.f64 x (hypot.f64 1 x)))

Calls

1 calls:

34.0ms

Results

Accuracy	Segments	Branch
99.7%	3	`x`

Compiler

Compiled 111 to 80 computations (27.9% saved)

bsearch34.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	7.410481050251677e-5	0.39909115427131087
17.0ms	-0.9614097195678581	-2.820265562447002e-9

Results

30.0ms

272×

body

256

valid

Compiler

Compiled 364 to 258 computations (29.1% saved)

regimes27.0ms (0.3%)

Counts

13 → 3

Calls

Call 1

Inputs
x
(+.f64 (.f64 (.f64 x x) (*.f64 x -1/6)) x)
(+.f64 (.f64 (.f64 x x) (-.f64 (+.f64 1 (*.f64 x -1/6)) 1)) x)
(log.f64 (+.f64 x x))
(log.f64 (/.f64 -1/2 x))
(neg.f64 (log.f64 (*.f64 x -2)))
(log1p.f64 (-.f64 (/.f64 -1/2 x) 1))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x))))
(log.f64 (+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x))))
(neg.f64 (log.f64 (+.f64 1 (-.f64 (.f64 x (.f64 x 1/2)) x))))
(+.f64 (-.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) 1) x)
(log.f64 (/.f64 -1 (+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))))

Outputs
(neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x))))
(+.f64 (.f64 (.f64 x x) (*.f64 x -1/6)) x)
(log.f64 (+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x))))

Calls

1 calls:

24.0ms

Results

Accuracy	Segments	Branch
99.3%	3	`x`

Compiler

Compiled 105 to 76 computations (27.6% saved)

bsearch33.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	0.39909115427131087	29.442565921597488
17.0ms	-0.9614097195678581	-2.820265562447002e-9

Results

30.0ms

256×

body

256

valid

Compiler

Compiled 373 to 273 computations (26.8% saved)

regimes23.0ms (0.3%)

Counts

9 → 3

Calls

Call 1

Inputs
x
(+.f64 (.f64 (.f64 x x) (*.f64 x -1/6)) x)
(+.f64 (.f64 (.f64 x x) (-.f64 (+.f64 1 (*.f64 x -1/6)) 1)) x)
(log.f64 (+.f64 x x))
(log.f64 (/.f64 -1/2 x))
(neg.f64 (log.f64 (*.f64 x -2)))
(log1p.f64 (-.f64 (/.f64 -1/2 x) 1))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x))))

Outputs
(neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x))))
(+.f64 (.f64 (.f64 x x) (*.f64 x -1/6)) x)
(log.f64 (+.f64 x x))

Calls

1 calls:

21.0ms

Results

Accuracy	Segments	Branch
99.0%	3	`x`

Compiler

Compiled 61 to 41 computations (32.8% saved)

bsearch47.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
23.0ms	0.39909115427131087	29.442565921597488
24.0ms	-0.9614097195678581	-2.820265562447002e-9

Results

44.0ms

256×

body

256

valid

Compiler

Compiled 331 to 231 computations (30.2% saved)

regimes25.0ms (0.3%)

Counts

8 → 3

Calls

Call 1

Inputs
x
(+.f64 (.f64 (.f64 x x) (*.f64 x -1/6)) x)
(+.f64 (.f64 (.f64 x x) (-.f64 (+.f64 1 (*.f64 x -1/6)) 1)) x)
(log.f64 (+.f64 x x))
(log.f64 (/.f64 -1/2 x))
(neg.f64 (log.f64 (*.f64 x -2)))
(log1p.f64 (-.f64 (/.f64 -1/2 x) 1))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)

Outputs
(neg.f64 (log.f64 (*.f64 x -2)))
(+.f64 (.f64 (.f64 x x) (*.f64 x -1/6)) x)
(log.f64 (+.f64 x x))

Calls

1 calls:

24.0ms

Results

Accuracy	Segments	Branch
98.9%	3	`x`

Compiler

Compiled 52 to 34 computations (34.6% saved)

bsearch31.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	0.39909115427131087	29.442565921597488
17.0ms	-2037.766522905941	-0.9614097195678581

Results

28.0ms

240×

body

256

valid

Compiler

Compiled 277 to 191 computations (31% saved)

regimes18.0ms (0.2%)

Counts

5 → 3

Calls

Call 1

Inputs
x
(+.f64 (.f64 (.f64 x x) (*.f64 x -1/6)) x)
(+.f64 (.f64 (.f64 x x) (-.f64 (+.f64 1 (*.f64 x -1/6)) 1)) x)
(log.f64 (+.f64 x x))
(log.f64 (/.f64 -1/2 x))

Outputs
(log.f64 (/.f64 -1/2 x))
(+.f64 (.f64 (.f64 x x) (*.f64 x -1/6)) x)
(log.f64 (+.f64 x x))

Calls

1 calls:

17.0ms

Results

Accuracy	Segments	Branch
98.9%	3	`x`

Compiler

Compiled 34 to 20 computations (41.2% saved)

bsearch34.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	0.39909115427131087	29.442565921597488
21.0ms	-2037.766522905941	-0.9614097195678581

Results

31.0ms

240×

body

256

valid

Compiler

Compiled 269 to 183 computations (32% saved)

regimes11.0ms (0.1%)

Counts

4 → 2

Calls

Call 1

Inputs
x
(+.f64 (.f64 (.f64 x x) (*.f64 x -1/6)) x)
(+.f64 (.f64 (.f64 x x) (-.f64 (+.f64 1 (*.f64 x -1/6)) 1)) x)
(log.f64 (+.f64 x x))

Outputs
x
(log.f64 (+.f64 x x))

Calls

1 calls:

10.0ms

Results

Accuracy	Segments	Branch
75.3%	2	`x`

Compiler

Compiled 30 to 17 computations (43.3% saved)

bsearch13.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	0.39909115427131087	29.442565921597488

Results

12.0ms

112×

body

256

valid

Compiler

Compiled 77 to 52 computations (32.5% saved)

regimes14.0ms (0.2%)

Accuracy

Total -1.6b remaining (-5.5%)

Threshold costs -1.6b (-5.5%)

Counts

3 → 1

Calls

Call 1

Inputs
x
(+.f64 (.f64 (.f64 x x) (*.f64 x -1/6)) x)
(+.f64 (.f64 (.f64 x x) (-.f64 (+.f64 1 (*.f64 x -1/6)) 1)) x)

Outputs
x

Calls

1 calls:

13.0ms

Results

Accuracy	Segments	Branch
53.6%	1	`x`

Compiler

Compiled 26 to 15 computations (42.3% saved)

simplify18.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

22×	`+-commutative`
22×	`*-commutative`
16×	`sub-neg`
12×	`neg-mul-1`
12×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	504
1	82	504
2	96	504
3	105	504
4	109	504
5	110	504

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 x -1890791267555229/2305843009213693952) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (if (<=.f64 x 5072854620270127/4611686018427387904) (+.f64 (.f64 (.f64 x x) (*.f64 x -1/6)) x) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -4278419646001971/4503599627370496) (neg.f64 (log.f64 (-.f64 (.f64 x -2) (/.f64 1/2 x)))) (if (<=.f64 x 5072854620270127/4611686018427387904) (+.f64 (.f64 (.f64 x x) (.f64 x -1/6)) x) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -4278419646001971/4503599627370496) (neg.f64 (log.f64 (-.f64 (.f64 x -2) (/.f64 1/2 x)))) (if (<=.f64 x 1080863910568919/1125899906842624) (+.f64 (.f64 (.f64 x x) (.f64 x -1/6)) x) (log.f64 (+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x))))))
(if (<=.f64 x -4278419646001971/4503599627370496) (neg.f64 (log.f64 (-.f64 (.f64 x -2) (/.f64 1/2 x)))) (if (<=.f64 x 5854679515581645/4503599627370496) (+.f64 (.f64 (.f64 x x) (.f64 x -1/6)) x) (log.f64 (+.f64 x x))))
(if (<=.f64 x -5/4) (neg.f64 (log.f64 (.f64 x -2))) (if (<=.f64 x 5854679515581645/4503599627370496) (+.f64 (.f64 (.f64 x x) (.f64 x -1/6)) x) (log.f64 (+.f64 x x))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5854679515581645/4503599627370496) (+.f64 (.f64 (.f64 x x) (*.f64 x -1/6)) x) (log.f64 (+.f64 x x))))
(if (<=.f64 x 5854679515581645/4503599627370496) x (log.f64 (+.f64 x x)))
x

Outputs
(if (<=.f64 x -1890791267555229/2305843009213693952) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (if (<=.f64 x 5072854620270127/4611686018427387904) (+.f64 (.f64 (.f64 x x) (*.f64 x -1/6)) x) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -1890791267555229/2305843009213693952) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (if (<=.f64 x 5072854620270127/4611686018427387904) (+.f64 x (.f64 (.f64 x x) (*.f64 x -1/6))) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -4278419646001971/4503599627370496) (neg.f64 (log.f64 (-.f64 (.f64 x -2) (/.f64 1/2 x)))) (if (<=.f64 x 5072854620270127/4611686018427387904) (+.f64 (.f64 (.f64 x x) (.f64 x -1/6)) x) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -4278419646001971/4503599627370496) (neg.f64 (log.f64 (-.f64 (.f64 x -2) (/.f64 1/2 x)))) (if (<=.f64 x 5072854620270127/4611686018427387904) (+.f64 x (.f64 (.f64 x x) (.f64 x -1/6))) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -4278419646001971/4503599627370496) (neg.f64 (log.f64 (-.f64 (.f64 x -2) (/.f64 1/2 x)))) (if (<=.f64 x 1080863910568919/1125899906842624) (+.f64 (.f64 (.f64 x x) (.f64 x -1/6)) x) (log.f64 (+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x))))))
(if (<=.f64 x -4278419646001971/4503599627370496) (neg.f64 (log.f64 (-.f64 (.f64 x -2) (/.f64 1/2 x)))) (if (<=.f64 x 1080863910568919/1125899906842624) (+.f64 x (.f64 (.f64 x x) (.f64 x -1/6))) (log.f64 (+.f64 (.f64 x 2) (.f64 1/2 (/.f64 1 x))))))
(if (<=.f64 x -4278419646001971/4503599627370496) (neg.f64 (log.f64 (-.f64 (.f64 x -2) (/.f64 1/2 x)))) (if (<=.f64 x 5854679515581645/4503599627370496) (+.f64 (.f64 (.f64 x x) (.f64 x -1/6)) x) (log.f64 (+.f64 x x))))
(if (<=.f64 x -4278419646001971/4503599627370496) (neg.f64 (log.f64 (-.f64 (.f64 x -2) (/.f64 1/2 x)))) (if (<=.f64 x 5854679515581645/4503599627370496) (+.f64 x (.f64 (.f64 x x) (.f64 x -1/6))) (log.f64 (+.f64 x x))))
(if (<=.f64 x -5/4) (neg.f64 (log.f64 (.f64 x -2))) (if (<=.f64 x 5854679515581645/4503599627370496) (+.f64 (.f64 (.f64 x x) (.f64 x -1/6)) x) (log.f64 (+.f64 x x))))
(if (<=.f64 x -5/4) (neg.f64 (log.f64 (.f64 x -2))) (if (<=.f64 x 5854679515581645/4503599627370496) (+.f64 x (.f64 (.f64 x x) (.f64 x -1/6))) (log.f64 (+.f64 x x))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5854679515581645/4503599627370496) (+.f64 (.f64 (.f64 x x) (*.f64 x -1/6)) x) (log.f64 (+.f64 x x))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5854679515581645/4503599627370496) (+.f64 x (.f64 (.f64 x x) (*.f64 x -1/6))) (log.f64 (+.f64 x x))))
(if (<=.f64 x 5854679515581645/4503599627370496) x (log.f64 (+.f64 x x)))
x

Compiler

Compiled 197 to 134 computations (32% saved)

soundness960.0ms (12%)

Rules

1952×	`pow1`
1836×	`add-exp-log`
1834×	`log1p-expm1-u`
1834×	`expm1-log1p-u`
1590×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	16	17
2	17	17
0	8	30
1	158	30
2	1999	30
0	214	2548
1	548	2180
2	1710	2040
3	6610	2040
0	10	55
1	204	55
2	2509	55
0	632	10286
1	1568	9862
2	4902	9308
0	7	13
1	149	13
2	1573	13
0	10	25
1	224	13
2	2804	13
0	214	2548
1	548	2180
2	1710	2040
3	6610	2040
0	7	11
1	142	11
2	1645	11
0	84	571
1	168	571
2	557	571
3	3329	571
4	6204	571
0	224	2687
1	602	2219
2	2052	2051
3	7699	2051

Stop Event

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

Compiler

Compiled 664 to 473 computations (28.8% saved)

end97.0ms (1.2%)

Compiler: Compiled 190 to 116 computations (38.9% saved)