Metrics for Hyperbolic arcsine

analyze72.0ms (1.3%)

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
50%	50%	50%	0%	0%	0%	0%	2
50%	50%	50%	0%	0%	0%	0%	3
62.5%	62.5%	37.5%	0%	0%	0%	0%	4
68.8%	68.7%	31.2%	0%	0%	0%	0%	5
71.9%	71.8%	28.1%	0%	0%	0%	0%	6
73.4%	73.4%	26.5%	0%	0%	0%	0%	7
74.2%	74.2%	25.8%	0%	0%	0%	0%	8
74.6%	74.6%	25.4%	0%	0%	0%	0%	9
74.8%	74.8%	25.2%	0%	0%	0%	0%	10
74.9%	74.9%	25.1%	0%	0%	0%	0%	11
75%	74.9%	25%	0%	0%	0%	0%	12

Compiler

Compiled 11 to 8 computations (27.3% saved)

sample2.7s (49.6%)

Results

1.2s	2639×	body	1024	valid
570.0ms	1267×	body	2048	valid
446.0ms	1298×	body	512	valid
431.0ms	3005×	body	256	valid
24.0ms	47×	body	4096	valid

Bogosity

preprocess15.0ms (0.3%)

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)

simplify15.0ms (0.3%)

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

30.6%

Counts

4 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	30.6%	(log.f64 (+.f64 x (hypot.f64 1 x)))
▶	30.6%	(log.f64 (+.f64 x (hypot.f64 1 x)))

Compiler

Compiled 14 to 10 computations (28.6% saved)

localize152.0ms (2.8%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	78.9%	(+.f64 x (hypot.f64 1 x))
✓	52.1%	(log.f64 (+.f64 x (hypot.f64 1 x)))

Compiler

Compiled 18 to 12 computations (33.3% saved)

series3.0ms (0.1%)

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))

rewrite86.0ms (1.6%)

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))

simplify78.0ms (1.4%)

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))

eval53.0ms (1%)

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

prune47.0ms (0.9%)

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
▶	53.7%	(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x))
▶	53.2%	(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
▶	23.1%	(log.f64 (/.f64 -1/2 x))
	28.3%	(log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))
▶	25.6%	(log.f64 (+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x))))
✓	30.6%	(log.f64 (+.f64 x (hypot.f64 1 x)))
▶	24.6%	(log.f64 (+.f64 x x))
	55.1%	x
▶	53.7%	(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x))
▶	53.2%	(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
▶	23.1%	(log.f64 (/.f64 -1/2 x))
	28.3%	(log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))
▶	25.6%	(log.f64 (+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x))))
✓	30.6%	(log.f64 (+.f64 x (hypot.f64 1 x)))
▶	24.6%	(log.f64 (+.f64 x x))
	55.1%	x

Compiler

Compiled 226 to 172 computations (23.9% saved)

localize218.0ms (4%)

Compiler: Compiled 112 to 80 computations (28.6% saved)

eval0.0ms (0%)

Compiler: Compiled 1 to 1 computations (0% saved)

prune7.0ms (0.1%)

Pruning

8 alts after pruning (2 fresh and 6 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	5	5
Done	1	1
Total	8	8

Accurracy

100.0%

Counts

8 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	53.7%	(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x))
✓	53.2%	(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
✓	23.1%	(log.f64 (/.f64 -1/2 x))
▶	28.3%	(log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))
✓	25.6%	(log.f64 (+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x))))
✓	30.6%	(log.f64 (+.f64 x (hypot.f64 1 x)))
✓	24.6%	(log.f64 (+.f64 x x))
	55.1%	x
✓	53.7%	(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x))
✓	53.2%	(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
✓	23.1%	(log.f64 (/.f64 -1/2 x))
▶	28.3%	(log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))
✓	25.6%	(log.f64 (+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x))))
✓	30.6%	(log.f64 (+.f64 x (hypot.f64 1 x)))
✓	24.6%	(log.f64 (+.f64 x x))
	55.1%	x

Compiler

Compiled 122 to 92 computations (24.6% saved)

localize179.0ms (3.3%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	99.9%	(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
✓	77.4%	(-.f64 x (hypot.f64 1 x))
✓	52.1%	(log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))

Compiler

Compiled 28 to 20 computations (28.6% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite94.0ms (1.7%)

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))))
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(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)))))

simplify134.0ms (2.5%)

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

eval191.0ms (3.5%)

Compiler: Compiled 7169 to 5561 computations (22.4% saved)

prune60.0ms (1.1%)

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	384	1	385
Fresh	0	1	1
Picked	1	0	1
Done	0	6	6
Total	385	8	393

Accurracy

100.0%

Counts

393 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	53.7%	(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x))
✓	53.2%	(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
✓	23.1%	(log.f64 (/.f64 -1/2 x))
▶	24.1%	(log.f64 (/.f64 -1 (+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))))
✓	25.6%	(log.f64 (+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x))))
✓	30.6%	(log.f64 (+.f64 x (hypot.f64 1 x)))
✓	24.6%	(log.f64 (+.f64 x x))
	55.1%	x
✓	53.7%	(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x))
✓	53.2%	(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
✓	23.1%	(log.f64 (/.f64 -1/2 x))
▶	24.1%	(log.f64 (/.f64 -1 (+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))))
✓	25.6%	(log.f64 (+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x))))
✓	30.6%	(log.f64 (+.f64 x (hypot.f64 1 x)))
✓	24.6%	(log.f64 (+.f64 x x))
	55.1%	x

Compiler

Compiled 130 to 100 computations (23.1% saved)

localize59.0ms (1.1%)

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 50 to 40 computations (20% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	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)))))

rewrite138.0ms (2.5%)

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)))))

simplify96.0ms (1.8%)

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

eval104.0ms (1.9%)

Compiler: Compiled 3556 to 2825 computations (20.6% saved)

prune38.0ms (0.7%)

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	192	0	192
Fresh	0	1	1
Picked	0	1	1
Done	0	6	6
Total	192	8	200

Accurracy

100.0%

Counts

200 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	53.7%	(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x))
✓	53.2%	(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
✓	23.1%	(log.f64 (/.f64 -1/2 x))
✓	24.1%	(log.f64 (/.f64 -1 (+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))))
✓	25.6%	(log.f64 (+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x))))
✓	30.6%	(log.f64 (+.f64 x (hypot.f64 1 x)))
✓	24.6%	(log.f64 (+.f64 x x))
	55.1%	x

Compiler

Compiled 140 to 105 computations (25% saved)

regimes42.0ms (0.8%)

Counts

10 → 3

Calls

Call 1

Inputs
x
(log.f64 (+.f64 x x))
(log.f64 (/.f64 -1/2 x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(log.f64 (+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x))))
(log.f64 (/.f64 -1 (+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x))

Outputs
(log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x))
(log.f64 (+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x))))

Calls

3 calls:

19.0ms	x
12.0ms	(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
8.0ms	(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))

Results

Accuracy	Segments	Branch
100.0%	3	`x`
89.0%	3	`(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))`
89.0%	3	`(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))`

Compiler

Compiled 96 to 69 computations (28.1% saved)

regimes21.0ms (0.4%)

Counts

9 → 3

Calls

Call 1

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

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

Calls

1 calls:

19.0ms

Results

Accuracy	Segments	Branch
100.0%	3	`x`

Compiler

Compiled 64 to 46 computations (28.1% saved)

regimes16.0ms (0.3%)

Counts

7 → 3

Calls

Call 1

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

Calls

1 calls:

14.0ms

Results

Accuracy	Segments	Branch
99.7%	3	`x`

Compiler

Compiled 47 to 34 computations (27.7% saved)

regimes13.0ms (0.2%)

Counts

5 → 3

Calls

Call 1

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

Outputs
(log.f64 (/.f64 -1/2 x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(log.f64 (+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x))))

Calls

1 calls:

12.0ms

Results

Accuracy	Segments	Branch
99.6%	3	`x`

Compiler

Compiled 29 to 20 computations (31% saved)

regimes13.0ms (0.2%)

Counts

4 → 3

Calls

Call 1

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

Outputs
(log.f64 (/.f64 -1/2 x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(log.f64 (+.f64 x x))

Calls

1 calls:

12.0ms

Results

Accuracy	Segments	Branch
99.5%	3	`x`

Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes10.0ms (0.2%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
99.1%	3	`x`

Compiler

Compiled 12 to 7 computations (41.7% saved)

regimes7.0ms (0.1%)

Counts

2 → 2

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
77.8%	2	`x`

Compiler

Compiled 8 to 4 computations (50% saved)

regimes3.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
55.1%	1	`x`

Compiler

Compiled 4 to 2 computations (50% saved)

bsearch35.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	4.92139256781994e-5	9622.610481356112
16.0ms	-0.2377994435312179	-0.00033775596304476077

Results

31.0ms

272×

body

256

valid

Compiler

Compiled 457 to 368 computations (19.5% saved)

bsearch75.0ms (1.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	4.92139256781994e-5	9622.610481356112
56.0ms	-0.2377994435312179	-0.00033775596304476077

Results

71.0ms

272×

body

256

valid

Compiler

Compiled 355 to 283 computations (20.3% saved)

bsearch48.0ms (0.9%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
30.0ms	4.92139256781994e-5	9622.610481356112
18.0ms	-13231.547955032613	-0.2377994435312179

Results

43.0ms

272×

body

256

valid

Compiler

Compiled 387 to 315 computations (18.6% saved)

bsearch35.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	4.92139256781994e-5	9622.610481356112
17.0ms	-13231.547955032613	-0.2377994435312179

Results

31.0ms

272×

body

256

valid

Compiler

Compiled 323 to 259 computations (19.8% saved)

bsearch38.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	4.92139256781994e-5	9622.610481356112
20.0ms	-13231.547955032613	-0.2377994435312179

Results

34.0ms

272×

body

256

valid

Compiler

Compiled 269 to 205 computations (23.8% saved)

bsearch36.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	4.92139256781994e-5	9622.610481356112
16.0ms	-13231.547955032613	-0.2377994435312179

Results

33.0ms

272×

body

256

valid

Compiler

Compiled 167 to 120 computations (28.1% saved)

bsearch18.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	4.92139256781994e-5	9622.610481356112

Results

16.0ms

144×

body

256

valid

Compiler

Compiled 95 to 64 computations (32.6% saved)

simplify14.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

12×	`+-commutative`
10×	`*-commutative`
4×	`sub-neg`
2×	`1-exp`
2×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	496
1	73	496
2	76	496
3	78	496
4	79	496

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 x -1080863910568919/144115188075855872) (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))) (if (<=.f64 x 1) (+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x)) (log.f64 (+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x))))))
(if (<=.f64 x -3458764513820541/4611686018427387904) (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))) (if (<=.f64 x 4278419646001971/4503599627370496) (+.f64 (.f64 -1/6 (pow.f64 x 3)) x) (log.f64 (+.f64 (.f64 2 x) (*.f64 1/2 (/.f64 1 x))))))
(if (<=.f64 x -4278419646001971/4503599627370496) (log.f64 (/.f64 -1 (+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x))))) (if (<=.f64 x 4278419646001971/4503599627370496) (+.f64 (.f64 -1/6 (pow.f64 x 3)) x) (log.f64 (+.f64 (.f64 2 x) (*.f64 1/2 (/.f64 1 x))))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 4278419646001971/4503599627370496) (+.f64 (.f64 -1/6 (pow.f64 x 3)) x) (log.f64 (+.f64 (.f64 2 x) (*.f64 1/2 (/.f64 1 x))))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5854679515581645/4503599627370496) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) (log.f64 (+.f64 x x))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5854679515581645/4503599627370496) x (log.f64 (+.f64 x x))))
(if (<=.f64 x 5854679515581645/4503599627370496) x (log.f64 (+.f64 x x)))
x

Outputs
(if (<=.f64 x -1080863910568919/144115188075855872) (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))) (if (<=.f64 x 1) (+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x)) (log.f64 (+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x))))))
(if (<=.f64 x -1080863910568919/144115188075855872) (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))) (if (<=.f64 x 1) (+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 x (.f64 3/40 (pow.f64 x 5)))) (log.f64 (+.f64 (.f64 x 2) (.f64 1/2 (/.f64 1 x))))))
(if (<=.f64 x -3458764513820541/4611686018427387904) (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))) (if (<=.f64 x 4278419646001971/4503599627370496) (+.f64 (.f64 -1/6 (pow.f64 x 3)) x) (log.f64 (+.f64 (.f64 2 x) (*.f64 1/2 (/.f64 1 x))))))
(if (<=.f64 x -3458764513820541/4611686018427387904) (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))) (if (<=.f64 x 4278419646001971/4503599627370496) (+.f64 x (.f64 -1/6 (pow.f64 x 3))) (log.f64 (+.f64 (.f64 x 2) (*.f64 1/2 (/.f64 1 x))))))
(if (<=.f64 x -4278419646001971/4503599627370496) (log.f64 (/.f64 -1 (+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x))))) (if (<=.f64 x 4278419646001971/4503599627370496) (+.f64 (.f64 -1/6 (pow.f64 x 3)) x) (log.f64 (+.f64 (.f64 2 x) (*.f64 1/2 (/.f64 1 x))))))
(if (<=.f64 x -4278419646001971/4503599627370496) (log.f64 (/.f64 -1 (+.f64 (.f64 x 2) (.f64 1/2 (/.f64 1 x))))) (if (<=.f64 x 4278419646001971/4503599627370496) (+.f64 x (.f64 -1/6 (pow.f64 x 3))) (log.f64 (+.f64 (.f64 x 2) (*.f64 1/2 (/.f64 1 x))))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 4278419646001971/4503599627370496) (+.f64 (.f64 -1/6 (pow.f64 x 3)) x) (log.f64 (+.f64 (.f64 2 x) (*.f64 1/2 (/.f64 1 x))))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 4278419646001971/4503599627370496) (+.f64 x (.f64 -1/6 (pow.f64 x 3))) (log.f64 (+.f64 (.f64 x 2) (*.f64 1/2 (/.f64 1 x))))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5854679515581645/4503599627370496) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) 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 -1/6 (pow.f64 x 3))) (log.f64 (+.f64 x x))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5854679515581645/4503599627370496) x (log.f64 (+.f64 x x))))
(if (<=.f64 x 5854679515581645/4503599627370496) x (log.f64 (+.f64 x x)))
x

Compiler

Compiled 196 to 146 computations (25.5% saved)

soundness328.0ms (6.1%)

Rules

1590×	`pow1`
1522×	`fma-def`
1522×	`fma-def`
1466×	`add-exp-log`
1466×	`log1p-expm1-u`

Iterations

Useful iterations: 1 (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	214	2548
1	548	2180
2	1710	2040
3	6610	2040

Stop Event

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

Compiler

Compiled 281 to 171 computations (39.1% saved)

end130.0ms (2.4%)

Compiler: Compiled 448 to 318 computations (29% saved)

analyze72.0ms (1.3%)

sample2.7s (49.6%)

preprocess15.0ms (0.3%)

simplify15.0ms (0.3%)

eval1.0ms (0%)

prune1.0ms (0%)

localize152.0ms (2.8%)

series3.0ms (0.1%)

rewrite86.0ms (1.6%)

simplify78.0ms (1.4%)

eval53.0ms (1%)

prune47.0ms (0.9%)

localize218.0ms (4%)

eval0.0ms (0%)

prune7.0ms (0.1%)

localize179.0ms (3.3%)

series2.0ms (0%)

rewrite94.0ms (1.7%)

simplify134.0ms (2.5%)

eval191.0ms (3.5%)

prune60.0ms (1.1%)

localize59.0ms (1.1%)

series3.0ms (0%)

rewrite138.0ms (2.5%)

simplify96.0ms (1.8%)

eval104.0ms (1.9%)

prune38.0ms (0.7%)

regimes42.0ms (0.8%)

regimes21.0ms (0.4%)

regimes16.0ms (0.3%)

regimes13.0ms (0.2%)

regimes13.0ms (0.2%)

regimes10.0ms (0.2%)

regimes7.0ms (0.1%)

regimes3.0ms (0.1%)

bsearch35.0ms (0.6%)

bsearch75.0ms (1.4%)

bsearch48.0ms (0.9%)

bsearch35.0ms (0.7%)

bsearch38.0ms (0.7%)

bsearch36.0ms (0.7%)

bsearch18.0ms (0.3%)

simplify14.0ms (0.3%)

soundness328.0ms (6.1%)

end130.0ms (2.4%)

Profiling