Details

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
100%	100%	0%	0%	0%	0%	0%	1

Compiler

Compiled 4 to 3 computations (25% saved)

sample605.0ms (8.7%)

Results

595.0ms

8256×

body

256

valid

Bogosity

preprocess14.0ms (0.2%)

Algorithm

2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	5
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(asinh.f64 x)

Outputs
(asinh.f64 x)

Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify11.0ms (0.2%)

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	12	33
1	18	27
2	19	27

Stop Event

1×

saturated

Counts

1 → 3

Calls

Call 1

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

Outputs

(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)

(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x 1)))) x)

(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) x)

eval2.0ms (0%)

Compiler: Compiled 33 to 20 computations (39.4% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Accurracy

49.9%

Counts

4 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	49.9%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) x)

Compiler

Compiled 10 to 7 computations (30% saved)

localize13.0ms (0.2%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(+.f64 (fabs.f64 x) (hypot.f64 1 x))
✓	93.7%	(log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)))

Compiler

Compiled 30 to 17 computations (43.3% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite58.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1644×	`pow1`
1516×	`add-exp-log`
1516×	`log1p-expm1-u`
1516×	`expm1-log1p-u`
1480×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	38
1	179	30
2	2314	30

Stop Event

1×	node limit

Counts

2 → 56

Calls

Call 1

Inputs
(log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)))
(+.f64 (fabs.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 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(-.f64 (log.f64 (-.f64 (.f64 x x) (+.f64 1 (.f64 x x)))) (log.f64 (-.f64 x (hypot.f64 1 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 x 3) (pow.f64 (hypot.f64 1 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 x 3) (pow.f64 (hypot.f64 1 x) 3))))
(/.f64 1 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (.f64 x x) (+.f64 1 (.f64 x x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 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 x 3) (pow.f64 (hypot.f64 1 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 (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.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 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (hypot.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 2) (cbrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 1 x))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x)

simplify77.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1802×	`fma-def`
1310×	`fma-neg`
744×	`unswap-sqr`
508×	`distribute-lft-in`
496×	`associate-+r+`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	223	2866
1	593	2444
2	1882	2068
3	7770	2064

Stop Event

1×	node limit

Counts

80 → 149

Calls

Call 1

Inputs
(log.f64 (+.f64 1 (fabs.f64 x)))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))) (log.f64 (+.f64 1 (fabs.f64 x))))
(+.f64 (.f64 -1/24 (.f64 (+.f64 (.f64 3 (/.f64 1 (+.f64 1 (fabs.f64 x)))) (.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)))) (pow.f64 x 4))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))) (log.f64 (+.f64 1 (fabs.f64 x)))))
(+.f64 (.f64 -1/24 (.f64 (+.f64 (.f64 3 (/.f64 1 (+.f64 1 (fabs.f64 x)))) (.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)))) (pow.f64 x 4))) (+.f64 (.f64 1/720 (.f64 (+.f64 (.f64 45 (/.f64 1 (+.f64 1 (fabs.f64 x)))) (+.f64 (.f64 30 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 3))) (.f64 45 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 2))))) (pow.f64 x 6))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))) (log.f64 (+.f64 1 (fabs.f64 x))))))
(*.f64 -1 (log.f64 (/.f64 1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 (fabs.f64 x) x))
(+.f64 (.f64 1/2 (/.f64 (+.f64 1 (.f64 -1 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 (fabs.f64 x) x)))
(+.f64 (.f64 1/6 (/.f64 (+.f64 (.f64 -3 (fabs.f64 x)) (.f64 2 (pow.f64 (fabs.f64 x) 3))) (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 (+.f64 1 (.f64 -1 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 (fabs.f64 x) x))))
(*.f64 -1 (log.f64 (/.f64 -1 x)))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (.f64 -1 (/.f64 (fabs.f64 x) x)))
(+.f64 (.f64 1/2 (/.f64 (+.f64 1 (.f64 -1 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (.f64 -1 (/.f64 (fabs.f64 x) x))))
(+.f64 (.f64 1/2 (/.f64 (+.f64 1 (.f64 -1 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (.f64 -1 (/.f64 (fabs.f64 x) x)) (.f64 -1/6 (/.f64 (+.f64 (.f64 2 (pow.f64 (fabs.f64 x) 3)) (*.f64 -3 (fabs.f64 x))) (pow.f64 x 3))))))
(+.f64 1 (fabs.f64 x))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (fabs.f64 x)))
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/8 (pow.f64 x 4)) (fabs.f64 x))))
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/16 (pow.f64 x 6)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (fabs.f64 x)))))
x
(+.f64 (fabs.f64 x) x)
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (fabs.f64 x) x))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (fabs.f64 x) x)) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(*.f64 -1 x)
(+.f64 (fabs.f64 x) (*.f64 -1 x))
(-.f64 (+.f64 (fabs.f64 x) (.f64 -1 x)) (.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (fabs.f64 x) (.f64 -1 x))) (*.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 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(-.f64 (log.f64 (-.f64 (.f64 x x) (+.f64 1 (.f64 x x)))) (log.f64 (-.f64 x (hypot.f64 1 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 x 3) (pow.f64 (hypot.f64 1 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 x 3) (pow.f64 (hypot.f64 1 x) 3))))
(/.f64 1 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (.f64 x x) (+.f64 1 (.f64 x x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 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 x 3) (pow.f64 (hypot.f64 1 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 (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.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 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (hypot.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 2) (cbrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 1 x))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x)

Outputs
(log.f64 (+.f64 1 (fabs.f64 x)))
(log1p.f64 (fabs.f64 x))
(log1p.f64 x)
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))) (log.f64 (+.f64 1 (fabs.f64 x))))
(fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 1 (fabs.f64 x))) (log1p.f64 (fabs.f64 x)))
(fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 1 x)) (log1p.f64 x))
(+.f64 (.f64 -1/24 (.f64 (+.f64 (.f64 3 (/.f64 1 (+.f64 1 (fabs.f64 x)))) (.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)))) (pow.f64 x 4))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))) (log.f64 (+.f64 1 (fabs.f64 x)))))
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(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 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 x x) (+.f64 1 (.f64 x x))) (-.f64 x (hypot.f64 1 x)))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 (-.f64 (+.f64 1 (.f64 x x)) (.f64 x x)) (-.f64 (hypot.f64 1 x) x))
(/.f64 (-.f64 (.f64 x x) (+.f64 1 (.f64 x x))) (-.f64 x (hypot.f64 1 x)))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 1)
(+.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(pow.f64 (E.f64) (log.f64 (+.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))
(pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 3)
(+.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1/3)
(+.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2)
(+.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.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)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (+.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))
(sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))
(+.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(log.f64 (exp.f64 (+.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))
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))
(+.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(expm1.f64 (log1p.f64 (+.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))
(exp.f64 (log.f64 (+.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))
(log1p.f64 (expm1.f64 (+.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 1 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 1 (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 (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 (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 2) (cbrt.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))
(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))

eval87.0ms (1.3%)

Compiler: Compiled 2603 to 1683 computations (35.3% saved)

prune30.0ms (0.4%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	135	14	149
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	136	14	150

Accurracy

100.0%

Counts

150 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	55.2%	(copysign.f64 (fma.f64 (pow.f64 x 4) (+.f64 (/.f64 -1/8 (+.f64 1 x)) (/.f64 -1/8 (pow.f64 (+.f64 1 x) 2))) (fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 1 x)) (fma.f64 (pow.f64 x 6) (fma.f64 1/720 (+.f64 (/.f64 45 (+.f64 1 x)) (/.f64 30 (pow.f64 (+.f64 1 x) 3))) (/.f64 1/16 (pow.f64 (+.f64 1 x) 2))) (log1p.f64 x)))) x)
	56.4%	(copysign.f64 (fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 1 (fabs.f64 x))) (log1p.f64 (fabs.f64 x))) x)
	55.7%	(copysign.f64 (fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 1 x)) (log1p.f64 x)) x)
▶	31.9%	(copysign.f64 (log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1)) x)
▶	67.7%	(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
▶	61.7%	(copysign.f64 (log1p.f64 x) x)
	25.3%	(copysign.f64 (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) x)
	20.1%	(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
	31.9%	(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
	26.9%	(copysign.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) x)
▶	26.5%	(copysign.f64 (log.f64 (+.f64 x x)) x)
▶	18.2%	(copysign.f64 (log.f64 (+.f64 1 (fabs.f64 x))) x)
	12.3%	(copysign.f64 (log.f64 (+.f64 1 x)) x)
	7.6%	(copysign.f64 (log.f64 (neg.f64 x)) x)

Compiler

Compiled 350 to 248 computations (29.1% saved)

localize6.0ms (0.1%)

Compiler: Compiled 12 to 4 computations (66.7% saved)

localize5.0ms (0.1%)

Compiler: Compiled 8 to 3 computations (62.5% saved)

localize31.0ms (0.4%)

Compiler: Compiled 15 to 4 computations (73.3% saved)

localize10.0ms (0.1%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	93.7%	(log.f64 (+.f64 1 (fabs.f64 x)))

Compiler

Compiled 21 to 12 computations (42.9% saved)

series59.0ms (0.8%)

Counts

1 → 0

Calls

3 calls:

Time	Variable		Point	Expression
25.0ms	x	@	0	(log.f64 (+.f64 1 (fabs.f64 x)))
17.0ms	x	@	-inf	(log.f64 (+.f64 1 (fabs.f64 x)))
17.0ms	x	@	inf	(log.f64 (+.f64 1 (fabs.f64 x)))

rewrite50.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1324×	`pow1`
1220×	`add-exp-log`
1220×	`log1p-expm1-u`
1220×	`expm1-log1p-u`
1194×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	157	5
2	1913	5

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

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

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

simplify51.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1634×	`fma-def`
1186×	`distribute-lft-in`
1032×	`distribute-rgt-in`
610×	`log-prod`
428×	`distribute-lft-out`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	56	208
1	117	184
2	373	184
3	2069	184
4	6222	184

Stop Event

1×	node limit

Counts

20 → 27

Calls

Call 1

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

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

localize19.0ms (0.3%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	99.6%	(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))
✓	99.1%	(+.f64 x (hypot.f64 1 x))
✓	93.8%	(-.f64 (+.f64 x (hypot.f64 1 x)) 1)

Compiler

Compiled 36 to 25 computations (30.6% saved)

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite123.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1278×	`prod-diff`
1218×	`unpow-prod-down`
816×	`log-prod`
746×	`fma-def`
586×	`pow-prod-down`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	55
1	195	49
2	2627	49

Stop Event

1×	node limit

Counts

3 → 260

Calls

Call 1

Inputs
(-.f64 (+.f64 x (hypot.f64 1 x)) 1)
(+.f64 x (hypot.f64 1 x))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))

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

simplify246.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

1398×	`fma-neg`
1070×	`log-prod`
764×	`exp-prod`
684×	`cube-prod`
576×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	668	10796
1	1676	10170
2	5453	9790

Stop Event

1×	node limit

Counts

296 → 425

Calls

Call 1

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

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

eval269.0ms (3.9%)

Compiler: Compiled 8632 to 6406 computations (25.8% saved)

prune134.0ms (1.9%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	449	3	452
Fresh	3	6	9
Picked	0	1	1
Done	2	2	4
Total	454	12	466

Accurracy

100.0%

Counts

466 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	55.5%	(copysign.f64 (+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x)) x)
▶	55.7%	(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x)
	2.7%	(copysign.f64 (log1p.f64 (-.f64 (/.f64 -1/2 x) 1)) x)
✓	31.9%	(copysign.f64 (log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1)) x)
✓	61.7%	(copysign.f64 (log1p.f64 x) x)
▶	25.3%	(copysign.f64 (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) x)
▶	20.1%	(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
	31.9%	(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
▶	26.9%	(copysign.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) x)
✓	26.5%	(copysign.f64 (log.f64 (+.f64 x x)) x)
	12.3%	(copysign.f64 (log.f64 (+.f64 1 x)) x)
▶	7.6%	(copysign.f64 (log.f64 (neg.f64 x)) x)

Compiler

Compiled 195 to 137 computations (29.7% saved)

localize12.0ms (0.2%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
✓	99.8%	(*.f64 -1/6 (pow.f64 x 3))

Compiler

Compiled 28 to 20 computations (28.6% saved)

series6.0ms (0.1%)

Counts

2 → 3

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	x	@	0	(*.f64 -1/6 (pow.f64 x 3))
0.0ms	x	@	inf	(*.f64 -1/6 (pow.f64 x 3))
0.0ms	x	@	inf	(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
0.0ms	x	@	-inf	(*.f64 -1/6 (pow.f64 x 3))
0.0ms	x	@	-inf	(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)

rewrite63.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1702×	`pow1`
1596×	`add-exp-log`
1596×	`log1p-expm1-u`
1596×	`expm1-log1p-u`
1566×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	28
1	180	28
2	2185	28

Stop Event

1×	node limit

Counts

2 → 46

Calls

Call 1

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

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

simplify69.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1602×	`fma-neg`
1196×	`div-sub`
948×	`fma-def`
762×	`log-prod`
578×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	110	1517
1	276	1323
2	994	1111
3	5161	1111

Stop Event

1×	node limit

Counts

49 → 55

Calls

Call 1

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

Outputs
x
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(-.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) 1)
(*.f64 -1/6 (pow.f64 x 3))
(pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)
(*.f64 -1/6 (pow.f64 x 3))
(pow.f64 (*.f64 x (cbrt.f64 -1/6)) 3)
(*.f64 -1/6 (pow.f64 x 3))
(pow.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3) 1/3)
(*.f64 -1/6 (pow.f64 x 3))
(pow.f64 (*.f64 (sqrt.f64 -1/6) (pow.f64 x 3/2)) 2)
(*.f64 -1/6 (pow.f64 x 3))
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/36))
(*.f64 -1/6 (pow.f64 x 3))
(log.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 x 3)))
(*.f64 -1/6 (pow.f64 x 3))
(cbrt.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3))
(*.f64 -1/6 (pow.f64 x 3))
(expm1.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3))))
(*.f64 -1/6 (pow.f64 x 3))
(exp.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3))))
(*.f64 -1/6 (pow.f64 x 3))
(log1p.f64 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3))))
(*.f64 -1/6 (pow.f64 x 3))
(-.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 1)
(+.f64 1 (-.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1))
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 0)
(fma.f64 -1/6 (pow.f64 x 3) x)
(-.f64 (/.f64 (.f64 (pow.f64 x 6) 1/36) (-.f64 (.f64 -1/6 (pow.f64 x 3)) x)) (/.f64 (.f64 x x) (-.f64 (.f64 -1/6 (pow.f64 x 3)) x)))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x x)) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x)))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x 6) -1/36)) (fma.f64 (pow.f64 x 3) 1/6 x))
(*.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1)
(+.f64 1 (-.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1))
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 0)
(fma.f64 -1/6 (pow.f64 x 3) x)
(*.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))
(+.f64 1 (-.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1))
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 0)
(fma.f64 -1/6 (pow.f64 x 3) x)
(*.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2))
(+.f64 1 (-.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1))
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 0)
(fma.f64 -1/6 (pow.f64 x 3) x)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(+.f64 1 (-.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1))
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 0)
(fma.f64 -1/6 (pow.f64 x 3) x)
(*.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(+.f64 1 (-.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1))
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 0)
(fma.f64 -1/6 (pow.f64 x 3) x)
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 -1/6 (pow.f64 x 3)) 3)) (/.f64 1 (+.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x (-.f64 x (*.f64 -1/6 (pow.f64 x 3)))))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (.f64 -1/216 (pow.f64 (pow.f64 x 3) 3))) 1) (fma.f64 (pow.f64 x 6) 1/36 (.f64 x (+.f64 x (.f64 1/6 (pow.f64 x 3))))))
(/.f64 (fma.f64 -1/216 (pow.f64 (pow.f64 x 3) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (.f64 (pow.f64 x 3) 1/6)) (.f64 (pow.f64 x 6) 1/36)))
(/.f64 (fma.f64 -1/216 (pow.f64 (pow.f64 x 3) 3) (pow.f64 x 3)) (fma.f64 x x (fma.f64 (pow.f64 x 6) 1/36 (*.f64 1/6 (pow.f64 x 4)))))
(.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x x)) (/.f64 1 (-.f64 (.f64 -1/6 (pow.f64 x 3)) x)))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x x)) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x)))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x 6) -1/36)) (fma.f64 (pow.f64 x 3) 1/6 x))
(/.f64 1 (/.f64 (+.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x (-.f64 x (.f64 -1/6 (pow.f64 x 3))))) (+.f64 (pow.f64 x 3) (pow.f64 (.f64 -1/6 (pow.f64 x 3)) 3))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (.f64 -1/216 (pow.f64 (pow.f64 x 3) 3))) 1) (fma.f64 (pow.f64 x 6) 1/36 (.f64 x (+.f64 x (.f64 1/6 (pow.f64 x 3))))))
(/.f64 (fma.f64 -1/216 (pow.f64 (pow.f64 x 3) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (.f64 (pow.f64 x 3) 1/6)) (.f64 (pow.f64 x 6) 1/36)))
(/.f64 (fma.f64 -1/216 (pow.f64 (pow.f64 x 3) 3) (pow.f64 x 3)) (fma.f64 x x (fma.f64 (pow.f64 x 6) 1/36 (*.f64 1/6 (pow.f64 x 4)))))
(/.f64 1 (/.f64 (-.f64 (.f64 -1/6 (pow.f64 x 3)) x) (-.f64 (.f64 (pow.f64 x 6) 1/36) (*.f64 x x))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x x)) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x)))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x 6) -1/36)) (fma.f64 (pow.f64 x 3) 1/6 x))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 -1/6 (pow.f64 x 3)) 3)) (+.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x (-.f64 x (.f64 -1/6 (pow.f64 x 3))))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (.f64 -1/216 (pow.f64 (pow.f64 x 3) 3))) 1) (fma.f64 (pow.f64 x 6) 1/36 (.f64 x (+.f64 x (.f64 1/6 (pow.f64 x 3))))))
(/.f64 (fma.f64 -1/216 (pow.f64 (pow.f64 x 3) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (.f64 (pow.f64 x 3) 1/6)) (.f64 (pow.f64 x 6) 1/36)))
(/.f64 (fma.f64 -1/216 (pow.f64 (pow.f64 x 3) 3) (pow.f64 x 3)) (fma.f64 x x (fma.f64 (pow.f64 x 6) 1/36 (*.f64 1/6 (pow.f64 x 4)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 -1/6 (pow.f64 x 3)) 3)) (+.f64 (.f64 x x) (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x (*.f64 -1/6 (pow.f64 x 3))))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (.f64 -1/216 (pow.f64 (pow.f64 x 3) 3))) 1) (fma.f64 (pow.f64 x 6) 1/36 (.f64 x (+.f64 x (.f64 1/6 (pow.f64 x 3))))))
(/.f64 (fma.f64 -1/216 (pow.f64 (pow.f64 x 3) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (.f64 (pow.f64 x 3) 1/6)) (.f64 (pow.f64 x 6) 1/36)))
(/.f64 (fma.f64 -1/216 (pow.f64 (pow.f64 x 3) 3) (pow.f64 x 3)) (fma.f64 x x (fma.f64 (pow.f64 x 6) 1/36 (*.f64 1/6 (pow.f64 x 4)))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x x)) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x x)) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x)))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x 6) -1/36)) (fma.f64 (pow.f64 x 3) 1/6 x))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 -1/6 (pow.f64 x 3)) 3))) (neg.f64 (+.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x (-.f64 x (.f64 -1/6 (pow.f64 x 3)))))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (.f64 -1/216 (pow.f64 (pow.f64 x 3) 3))) 1) (fma.f64 (pow.f64 x 6) 1/36 (.f64 x (+.f64 x (.f64 1/6 (pow.f64 x 3))))))
(/.f64 (fma.f64 -1/216 (pow.f64 (pow.f64 x 3) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (.f64 (pow.f64 x 3) 1/6)) (.f64 (pow.f64 x 6) 1/36)))
(/.f64 (fma.f64 -1/216 (pow.f64 (pow.f64 x 3) 3) (pow.f64 x 3)) (fma.f64 x x (fma.f64 (pow.f64 x 6) 1/36 (*.f64 1/6 (pow.f64 x 4)))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x x))) (neg.f64 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x)))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x x)) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x)))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x 6) -1/36)) (fma.f64 (pow.f64 x 3) 1/6 x))
(/.f64 (-.f64 (.f64 x x) (.f64 (pow.f64 x 6) 1/36)) (-.f64 x (*.f64 -1/6 (pow.f64 x 3))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x x)) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x)))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x 6) -1/36)) (fma.f64 (pow.f64 x 3) 1/6 x))
(pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1)
(+.f64 1 (-.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1))
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 0)
(fma.f64 -1/6 (pow.f64 x 3) x)
(pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 3)
(+.f64 1 (-.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1))
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 0)
(fma.f64 -1/6 (pow.f64 x 3) x)
(pow.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 3) 1/3)
(+.f64 1 (-.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1))
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 0)
(fma.f64 -1/6 (pow.f64 x 3) x)
(pow.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2)
(+.f64 1 (-.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1))
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 0)
(fma.f64 -1/6 (pow.f64 x 3) x)
(sqrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2))
(+.f64 1 (-.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1))
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 0)
(fma.f64 -1/6 (pow.f64 x 3) x)
(log.f64 (exp.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(+.f64 1 (-.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1))
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 0)
(fma.f64 -1/6 (pow.f64 x 3) x)
(cbrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 3))
(+.f64 1 (-.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1))
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 0)
(fma.f64 -1/6 (pow.f64 x 3) x)
(expm1.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(+.f64 1 (-.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1))
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 0)
(fma.f64 -1/6 (pow.f64 x 3) x)
(exp.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(+.f64 1 (-.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1))
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 0)
(fma.f64 -1/6 (pow.f64 x 3) x)
(log1p.f64 (expm1.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(+.f64 1 (-.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1))
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 0)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 1 (-.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1))
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 0)
(fma.f64 (pow.f64 x 3) -1/6 x)
(+.f64 1 (-.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1))
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 0)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 1 x (*.f64 -1/6 (pow.f64 x 3)))
(+.f64 1 (-.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1))
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 0)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 1 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 1 (-.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1))
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 0)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (pow.f64 (.f64 x (cbrt.f64 -1/6)) 2) (.f64 x (cbrt.f64 -1/6)) x)
(+.f64 1 (-.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1))
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 0)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 -1/6 (pow.f64 x 3)))
(+.f64 1 (-.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1))
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 0)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (.f64 (sqrt.f64 -1/6) (pow.f64 x 3/2)) (.f64 (sqrt.f64 -1/6) (pow.f64 x 3/2)) x)
(+.f64 1 (-.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1))
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 0)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 -1/6 (pow.f64 x 3)))
(+.f64 1 (-.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1))
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 0)
(fma.f64 -1/6 (pow.f64 x 3) x)

localize7.0ms (0.1%)

Compiler: Compiled 12 to 4 computations (66.7% saved)

localize13.0ms (0.2%)

Local Accuracy

Found 1 expressions with local accuracy:

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

Compiler

Compiled 16 to 11 computations (31.3% saved)

series45.0ms (0.6%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
24.0ms	x	@	0	(log.f64 (/.f64 -1/2 x))
11.0ms	x	@	-inf	(log.f64 (/.f64 -1/2 x))
10.0ms	x	@	inf	(log.f64 (/.f64 -1/2 x))

rewrite299.0ms (4.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 25

Calls

Call 1

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

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

simplify57.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

37 → 35

Calls

Call 1

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

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

localize16.0ms (0.2%)

Local Accuracy

Found 3 expressions with local accuracy:

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

Compiler

Compiled 36 to 22 computations (38.9% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite95.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

928×	`log-prod`
922×	`fma-def`
678×	`prod-exp`
668×	`pow-prod-down`
466×	`pow-exp`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	55
1	203	55
2	2952	47

Stop Event

1×	node limit

Counts

3 → 197

Calls

Call 1

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

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

simplify96.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1584×	`times-frac`
620×	`log-prod`
578×	`sqr-pow`
518×	`cancel-sign-sub-inv`
444×	`fma-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	473	6905
1	1145	6377
2	3427	6267

Stop Event

1×	node limit

Counts

233 → 292

Calls

Call 1

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

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

localize20.0ms (0.3%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(/.f64 1 (-.f64 (hypot.f64 1 x) x))
✓	98.4%	(-.f64 (hypot.f64 1 x) x)
✓	93.8%	(log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))

Compiler

Compiled 36 to 25 computations (30.6% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite71.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1874×	`pow1`
1730×	`add-exp-log`
1730×	`log1p-expm1-u`
1730×	`expm1-log1p-u`
1688×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	53
1	187	53
2	2395	53

Stop Event

1×	node limit

Counts

3 → 91

Calls

Call 1

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

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

simplify78.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

592×	`associate-+l+`
558×	`fma-neg`
538×	`distribute-rgt-in`
516×	`distribute-lft-in`
488×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	297	3815
1	818	3357
2	2869	3199

Stop Event

1×	node limit

Counts

127 → 209

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

eval216.0ms (3.1%)

Compiler: Compiled 10318 to 7228 computations (29.9% saved)

prune93.0ms (1.3%)

Pruning

14 alts after pruning (8 fresh and 6 done)

	Pruned	Kept	Total
New	586	5	591
Fresh	1	3	4
Picked	1	0	1
Done	1	6	7
Total	589	14	603

Accurracy

100.0%

Counts

603 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	55.6%	(copysign.f64 (+.f64 (-.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) 1) x) x)
▶	55.5%	(copysign.f64 (+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x)) x)
✓	55.7%	(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x)
	25.3%	(copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x)
▶	2.7%	(copysign.f64 (log1p.f64 (-.f64 (/.f64 -1/2 x) 1)) x)
✓	61.7%	(copysign.f64 (log1p.f64 x) x)
	20.5%	(copysign.f64 (log.f64 (/.f64 1 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) x)
✓	20.1%	(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
▶	31.9%	(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
	14.2%	(copysign.f64 (log.f64 (+.f64 x (/.f64 (-.f64 (/.f64 1/4 (.f64 x x)) (.f64 x x)) (-.f64 (/.f64 1/2 x) x)))) x)
✓	26.9%	(copysign.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) x)
✓	26.5%	(copysign.f64 (log.f64 (+.f64 x x)) x)
✓	7.6%	(copysign.f64 (log.f64 (neg.f64 x)) x)
▶	57.1%	(copysign.f64 x x)

Compiler

Compiled 238 to 164 computations (31.1% saved)

localize3.0ms (0%)

Compiler: Compiled 5 to 2 computations (60% saved)

localize15.0ms (0.2%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	97.2%	(log1p.f64 (-.f64 (/.f64 -1/2 x) 1))

Compiler

Compiled 26 to 20 computations (23.1% saved)

series20.0ms (0.3%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
7.0ms	x	@	inf	(log1p.f64 (-.f64 (/.f64 -1/2 x) 1))
6.0ms	x	@	0	(log1p.f64 (-.f64 (/.f64 -1/2 x) 1))
6.0ms	x	@	-inf	(log1p.f64 (-.f64 (/.f64 -1/2 x) 1))

rewrite57.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	190	11
2	2283	11

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

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

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

simplify56.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

856×	`unsub-neg`
744×	`fma-neg`
682×	`associate-+r+`
654×	`associate-+l+`
620×	`log-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	481
1	119	481
2	415	481
3	2840	481
4	5722	481

Stop Event

1×	node limit

Counts

35 → 28

Calls

Call 1

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

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

localize22.0ms (0.3%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(+.f64 1 (*.f64 -1/6 (pow.f64 x 3)))
✓	100.0%	(+.f64 (-.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) 1) x)
	99.8%	(*.f64 -1/6 (pow.f64 x 3))
✓	97.5%	(-.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) 1)

Compiler

Compiled 53 to 43 computations (18.9% saved)

series1.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite91.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1570×	`fma-def`
918×	`log-prod`
626×	`pow-prod-down`
526×	`fma-neg`
456×	`pow-exp`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	75
1	255	47
2	3502	43

Stop Event

1×	node limit

Counts

3 → 248

Calls

Call 1

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

Outputs
(+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) -1))
(+.f64 1 (*.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) 1))
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) -1)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) 0)
(+.f64 0 (*.f64 -1/6 (pow.f64 x 3)))
(+.f64 -1 (fma.f64 -1/6 (pow.f64 x 3) 1))
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) 1)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6)) (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6))))
(.f64 1 (.f64 -1/6 (pow.f64 x 3)))
(*.f64 -1/6 (pow.f64 x 3))
(.f64 x (.f64 (*.f64 x x) -1/6))
(*.f64 (pow.f64 x 3) -1/6)
(.f64 (.f64 -1/6 (pow.f64 x 3)) 1)
(.f64 (.f64 x (cbrt.f64 -1/6)) (pow.f64 (*.f64 x (cbrt.f64 -1/6)) 2))
(.f64 (pow.f64 (.f64 x (cbrt.f64 -1/6)) 2) (*.f64 x (cbrt.f64 -1/6)))
(.f64 (.f64 x x) (*.f64 x -1/6))
(.f64 (.f64 (sqrt.f64 -1/6) (pow.f64 x 3/2)) (*.f64 (sqrt.f64 -1/6) (pow.f64 x 3/2)))
(*.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) (fma.f64 -1/6 (pow.f64 x 3) 2))))
(*.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) -1) (/.f64 1 (fma.f64 -1/6 (pow.f64 x 3) 2)))
(.f64 (pow.f64 x 3/2) (.f64 (pow.f64 x 3/2) -1/6))
(*.f64 (+.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) 1) (-.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) 1))
(.f64 (.f64 -1/6 x) (*.f64 x x))
(.f64 (.f64 -1/6 (*.f64 x x)) x)
(.f64 (.f64 -1/6 (pow.f64 x 3/2)) (pow.f64 x 3/2))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) (fma.f64 -1/6 (pow.f64 x 3) 2)) (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3) -1)))
(/.f64 1 (/.f64 (fma.f64 -1/6 (pow.f64 x 3) 2) (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) -1)))
(/.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) (fma.f64 -1/6 (pow.f64 x 3) 2)))
(/.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) (-.f64 1 (*.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) -1))))
(/.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) -1) (fma.f64 -1/6 (pow.f64 x 3) 2))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) (fma.f64 -1/6 (pow.f64 x 3) 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) -1)) (neg.f64 (fma.f64 -1/6 (pow.f64 x 3) 2)))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) 3)) (+.f64 1 (-.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) 2) (fma.f64 -1/6 (pow.f64 x 3) -1))))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) 2)) (-.f64 1 (fma.f64 -1/6 (pow.f64 x 3) -1)))
(pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)
(pow.f64 (*.f64 x (cbrt.f64 -1/6)) 3)
(pow.f64 (*.f64 (pow.f64 x 9) -1/216) 1/3)
(pow.f64 (*.f64 (pow.f64 x 6) 1/36) 1/2)
(pow.f64 (*.f64 (sqrt.f64 -1/6) (pow.f64 x 3/2)) 2)
(pow.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) (fma.f64 -1/6 (pow.f64 x 3) 2)) (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3) -1)) -1)
(pow.f64 (/.f64 (fma.f64 -1/6 (pow.f64 x 3) 2) (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) -1)) -1)
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/36))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3)))))
(cbrt.f64 (*.f64 (pow.f64 x 9) -1/216))
(expm1.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3))))
(expm1.f64 (.f64 (log1p.f64 (.f64 -1/6 (pow.f64 x 3))) 1))
(hypot.f64 (.f64 (sqrt.f64 -1/6) (pow.f64 x 3/2)) (sqrt.f64 (fma.f64 (pow.f64 x 6) 1/36 (.f64 1/6 (pow.f64 x 3)))))
(exp.f64 (fma.f64 3 (log.f64 x) (log.f64 -1/6)))
(exp.f64 (*.f64 (fma.f64 3 (log.f64 x) (log.f64 -1/6)) 1))
(exp.f64 (.f64 (.f64 (fma.f64 3 (log.f64 x) (log.f64 -1/6)) 1) 1))
(exp.f64 (.f64 (log.f64 (.f64 x (cbrt.f64 -1/6))) 3))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x 9) -1/216)) 1/3))
(exp.f64 (.f64 (.f64 (fma.f64 3 (log.f64 x) (log.f64 -1/6)) 3) 1/3))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 -1/6) (pow.f64 x 3/2))) 2))
(log1p.f64 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3))))
(fma.f64 1 (fma.f64 -1/6 (pow.f64 x 3) 1) -1)
(fma.f64 1 (*.f64 -1/6 (pow.f64 x 3)) 0)
(fma.f64 1 (fma.f64 -1/6 (pow.f64 x 3) -1) 1)
(fma.f64 -1/6 (pow.f64 x 3) 0)
(fma.f64 x (.f64 (.f64 x x) -1/6) 0)
(fma.f64 (pow.f64 x 3) -1/6 0)
(fma.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 1 -1)
(fma.f64 (*.f64 -1/6 (pow.f64 x 3)) 1 0)
(fma.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) (cbrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2)) -1)
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2)) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) -1)
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2)) (*.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) 1) -1)
(fma.f64 (.f64 x (cbrt.f64 -1/6)) (pow.f64 (.f64 x (cbrt.f64 -1/6)) 2) 0)
(fma.f64 (pow.f64 (.f64 x (cbrt.f64 -1/6)) 2) (.f64 x (cbrt.f64 -1/6)) 0)
(fma.f64 (.f64 x x) (.f64 x -1/6) 0)
(fma.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) -1)
(fma.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) (*.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) 1) -1)
(fma.f64 (.f64 (sqrt.f64 -1/6) (pow.f64 x 3/2)) (.f64 (sqrt.f64 -1/6) (pow.f64 x 3/2)) 0)
(fma.f64 (fma.f64 (pow.f64 x 9) -1/216 1) (/.f64 1 (+.f64 1 (fma.f64 (pow.f64 x 6) 1/36 (*.f64 1/6 (pow.f64 x 3))))) -1)
(fma.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) (fma.f64 -1/6 (pow.f64 x 3) 2))) 0)
(fma.f64 (-.f64 1 (.f64 (pow.f64 x 6) 1/36)) (/.f64 1 (+.f64 1 (.f64 1/6 (pow.f64 x 3)))) -1)
(fma.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) -1) (/.f64 1 (fma.f64 -1/6 (pow.f64 x 3) 2)) 0)
(fma.f64 (pow.f64 x 3/2) (*.f64 (pow.f64 x 3/2) -1/6) 0)
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) -1)) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) -1))) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) -1)) 1)
(fma.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) -1)) (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) -1)) 1)
(fma.f64 (fma.f64 (sqrt.f64 -1/6) (pow.f64 x 3/2) 1) (fma.f64 (sqrt.f64 -1/6) (pow.f64 x 3/2) -1) 1)
(fma.f64 (+.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) 1) (-.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) 1) 0)
(fma.f64 (.f64 -1/6 x) (.f64 x x) 0)
(fma.f64 (.f64 -1/6 (.f64 x x)) x 0)
(fma.f64 (*.f64 -1/6 (pow.f64 x 3/2)) (pow.f64 x 3/2) 0)
(-.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) (-.f64 1 x))
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(fma.f64 (.f64 -1/6 x) (.f64 x x) 1)
(fma.f64 (.f64 -1/6 (.f64 x x)) x 1)
(fma.f64 (*.f64 -1/6 (pow.f64 x 3/2)) (pow.f64 x 3/2) 1)

simplify103.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1654×	`times-frac`
910×	`cancel-sign-sub-inv`
860×	`unswap-sqr`
796×	`fma-neg`
484×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	451	7314
1	1010	6984
2	2925	6906

Stop Event

1×	node limit

Counts

284 → 290

Calls

Call 1

Inputs
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
1
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)
(+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) -1))
(+.f64 1 (*.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) 1))
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) -1)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) 0)
(+.f64 0 (*.f64 -1/6 (pow.f64 x 3)))
(+.f64 -1 (fma.f64 -1/6 (pow.f64 x 3) 1))
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) 1)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6)) (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6))))
(.f64 1 (.f64 -1/6 (pow.f64 x 3)))
(*.f64 -1/6 (pow.f64 x 3))
(.f64 x (.f64 (*.f64 x x) -1/6))
(*.f64 (pow.f64 x 3) -1/6)
(.f64 (.f64 -1/6 (pow.f64 x 3)) 1)
(.f64 (.f64 x (cbrt.f64 -1/6)) (pow.f64 (*.f64 x (cbrt.f64 -1/6)) 2))
(.f64 (pow.f64 (.f64 x (cbrt.f64 -1/6)) 2) (*.f64 x (cbrt.f64 -1/6)))
(.f64 (.f64 x x) (*.f64 x -1/6))
(.f64 (.f64 (sqrt.f64 -1/6) (pow.f64 x 3/2)) (*.f64 (sqrt.f64 -1/6) (pow.f64 x 3/2)))
(*.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) (fma.f64 -1/6 (pow.f64 x 3) 2))))
(*.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) -1) (/.f64 1 (fma.f64 -1/6 (pow.f64 x 3) 2)))
(.f64 (pow.f64 x 3/2) (.f64 (pow.f64 x 3/2) -1/6))
(*.f64 (+.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) 1) (-.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) 1))
(.f64 (.f64 -1/6 x) (*.f64 x x))
(.f64 (.f64 -1/6 (*.f64 x x)) x)
(.f64 (.f64 -1/6 (pow.f64 x 3/2)) (pow.f64 x 3/2))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) (fma.f64 -1/6 (pow.f64 x 3) 2)) (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3) -1)))
(/.f64 1 (/.f64 (fma.f64 -1/6 (pow.f64 x 3) 2) (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) -1)))
(/.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) (fma.f64 -1/6 (pow.f64 x 3) 2)))
(/.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) (-.f64 1 (*.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) -1))))
(/.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) -1) (fma.f64 -1/6 (pow.f64 x 3) 2))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) (fma.f64 -1/6 (pow.f64 x 3) 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) -1)) (neg.f64 (fma.f64 -1/6 (pow.f64 x 3) 2)))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) 3)) (+.f64 1 (-.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) 2) (fma.f64 -1/6 (pow.f64 x 3) -1))))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) 2)) (-.f64 1 (fma.f64 -1/6 (pow.f64 x 3) -1)))
(pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)
(pow.f64 (*.f64 x (cbrt.f64 -1/6)) 3)
(pow.f64 (*.f64 (pow.f64 x 9) -1/216) 1/3)
(pow.f64 (*.f64 (pow.f64 x 6) 1/36) 1/2)
(pow.f64 (*.f64 (sqrt.f64 -1/6) (pow.f64 x 3/2)) 2)
(pow.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) (fma.f64 -1/6 (pow.f64 x 3) 2)) (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3) -1)) -1)
(pow.f64 (/.f64 (fma.f64 -1/6 (pow.f64 x 3) 2) (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) -1)) -1)
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/36))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3)))))
(cbrt.f64 (*.f64 (pow.f64 x 9) -1/216))
(expm1.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3))))
(expm1.f64 (.f64 (log1p.f64 (.f64 -1/6 (pow.f64 x 3))) 1))
(hypot.f64 (.f64 (sqrt.f64 -1/6) (pow.f64 x 3/2)) (sqrt.f64 (fma.f64 (pow.f64 x 6) 1/36 (.f64 1/6 (pow.f64 x 3)))))
(exp.f64 (fma.f64 3 (log.f64 x) (log.f64 -1/6)))
(exp.f64 (*.f64 (fma.f64 3 (log.f64 x) (log.f64 -1/6)) 1))
(exp.f64 (.f64 (.f64 (fma.f64 3 (log.f64 x) (log.f64 -1/6)) 1) 1))
(exp.f64 (.f64 (log.f64 (.f64 x (cbrt.f64 -1/6))) 3))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x 9) -1/216)) 1/3))
(exp.f64 (.f64 (.f64 (fma.f64 3 (log.f64 x) (log.f64 -1/6)) 3) 1/3))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 -1/6) (pow.f64 x 3/2))) 2))
(log1p.f64 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3))))
(fma.f64 1 (fma.f64 -1/6 (pow.f64 x 3) 1) -1)
(fma.f64 1 (*.f64 -1/6 (pow.f64 x 3)) 0)
(fma.f64 1 (fma.f64 -1/6 (pow.f64 x 3) -1) 1)
(fma.f64 -1/6 (pow.f64 x 3) 0)
(fma.f64 x (.f64 (.f64 x x) -1/6) 0)
(fma.f64 (pow.f64 x 3) -1/6 0)
(fma.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 1 -1)
(fma.f64 (*.f64 -1/6 (pow.f64 x 3)) 1 0)
(fma.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) (cbrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2)) -1)
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2)) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) -1)
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2)) (*.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) 1) -1)
(fma.f64 (.f64 x (cbrt.f64 -1/6)) (pow.f64 (.f64 x (cbrt.f64 -1/6)) 2) 0)
(fma.f64 (pow.f64 (.f64 x (cbrt.f64 -1/6)) 2) (.f64 x (cbrt.f64 -1/6)) 0)
(fma.f64 (.f64 x x) (.f64 x -1/6) 0)
(fma.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) -1)
(fma.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) (*.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) 1) -1)
(fma.f64 (.f64 (sqrt.f64 -1/6) (pow.f64 x 3/2)) (.f64 (sqrt.f64 -1/6) (pow.f64 x 3/2)) 0)
(fma.f64 (fma.f64 (pow.f64 x 9) -1/216 1) (/.f64 1 (+.f64 1 (fma.f64 (pow.f64 x 6) 1/36 (*.f64 1/6 (pow.f64 x 3))))) -1)
(fma.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) (fma.f64 -1/6 (pow.f64 x 3) 2))) 0)
(fma.f64 (-.f64 1 (.f64 (pow.f64 x 6) 1/36)) (/.f64 1 (+.f64 1 (.f64 1/6 (pow.f64 x 3)))) -1)
(fma.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) -1) (/.f64 1 (fma.f64 -1/6 (pow.f64 x 3) 2)) 0)
(fma.f64 (pow.f64 x 3/2) (*.f64 (pow.f64 x 3/2) -1/6) 0)
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) -1)) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) -1))) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) -1)) 1)
(fma.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) -1)) (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) -1)) 1)
(fma.f64 (fma.f64 (sqrt.f64 -1/6) (pow.f64 x 3/2) 1) (fma.f64 (sqrt.f64 -1/6) (pow.f64 x 3/2) -1) 1)
(fma.f64 (+.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) 1) (-.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) 1) 0)
(fma.f64 (.f64 -1/6 x) (.f64 x x) 0)
(fma.f64 (.f64 -1/6 (.f64 x x)) x 0)
(fma.f64 (*.f64 -1/6 (pow.f64 x 3/2)) (pow.f64 x 3/2) 0)
(-.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) (-.f64 1 x))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x))) 1)
(-.f64 (/.f64 (.f64 (pow.f64 x 6) 1/36) (-.f64 (.f64 -1/6 (pow.f64 x 3)) x)) (/.f64 (.f64 x x) (-.f64 (.f64 -1/6 (pow.f64 x 3)) x)))
(-.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) 1)) 1)
(*.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))
(*.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1)
(*.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(*.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (-.f64 x (.f64 -1/6 (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 1/36))))
(.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x x)) (/.f64 1 (-.f64 (.f64 -1/6 (pow.f64 x 3)) x)))
(/.f64 1 (/.f64 (fma.f64 x (-.f64 x (.f64 -1/6 (pow.f64 x 3))) (.f64 (pow.f64 x 6) 1/36)) (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 x 3))))
(/.f64 1 (/.f64 (-.f64 (.f64 -1/6 (pow.f64 x 3)) x) (-.f64 (.f64 (pow.f64 x 6) 1/36) (*.f64 x x))))
(/.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 x 3)) (fma.f64 x (-.f64 x (.f64 -1/6 (pow.f64 x 3))) (.f64 (pow.f64 x 6) 1/36)))
(/.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 x 3)) (fma.f64 x x (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x (*.f64 -1/6 (pow.f64 x 3))))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x x)) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 x 3))) (neg.f64 (fma.f64 x (-.f64 x (.f64 -1/6 (pow.f64 x 3))) (.f64 (pow.f64 x 6) 1/36))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x x))) (neg.f64 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x)))
(/.f64 (-.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3) (pow.f64 (-.f64 1 x) 3)) (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) (+.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) (-.f64 1 x)))))
(/.f64 (-.f64 (.f64 x x) (.f64 (pow.f64 x 6) 1/36)) (-.f64 x (*.f64 -1/6 (pow.f64 x 3))))
(/.f64 (-.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) (pow.f64 (-.f64 1 x) 2)) (+.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) (-.f64 1 x)))
(pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1)
(pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 3)
(pow.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2)
(pow.f64 (/.f64 (fma.f64 x (-.f64 x (.f64 -1/6 (pow.f64 x 3))) (.f64 (pow.f64 x 6) 1/36)) (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 x 3))) -1)
(pow.f64 (/.f64 (-.f64 (.f64 -1/6 (pow.f64 x 3)) x) (-.f64 (.f64 (pow.f64 x 6) 1/36) (*.f64 x x))) -1)
(sqrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2))
(log.f64 (exp.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/6 (pow.f64 x 3) x))))
(log.f64 (.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (.f64 -1/6 (pow.f64 x 3))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6)))
(log.f64 (.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (.f64 -1/6 (pow.f64 x 3))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6) (+.f64 1 (expm1.f64 x))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 -1/6 (pow.f64 x 3)))) (exp.f64 x)))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 -1/6 (pow.f64 x 3)))) (+.f64 1 (expm1.f64 x))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/6 (pow.f64 x 3) 1))) (exp.f64 (-.f64 1 x))))
(cbrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(exp.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 1))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) x))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x))) 2))
(log1p.f64 (expm1.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(fma.f64 1 x (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 1 (fma.f64 -1/6 (pow.f64 x 3) 1) (neg.f64 (-.f64 1 x)))
(fma.f64 1 (fma.f64 -1/6 (pow.f64 x 3) 1) (+.f64 -1 x))
(fma.f64 1 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 1 (*.f64 -1/6 (pow.f64 x 3)) (-.f64 1 (-.f64 1 x)))
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 -1/6 (pow.f64 x 3) (-.f64 1 (-.f64 1 x)))
(fma.f64 x 1 (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 x (.f64 (.f64 x x) -1/6) x)
(fma.f64 x (.f64 (.f64 x x) -1/6) (-.f64 1 (-.f64 1 x)))
(fma.f64 (pow.f64 x 3) -1/6 x)
(fma.f64 (pow.f64 x 3) -1/6 (-.f64 1 (-.f64 1 x)))
(fma.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 1 (neg.f64 (-.f64 1 x)))
(fma.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 1 (+.f64 -1 x))
(fma.f64 (*.f64 -1/6 (pow.f64 x 3)) 1 x)
(fma.f64 (*.f64 -1/6 (pow.f64 x 3)) 1 (-.f64 1 (-.f64 1 x)))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) (cbrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2)) (neg.f64 (-.f64 1 x)))
(fma.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) (cbrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2)) (+.f64 -1 x))
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2)) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) (neg.f64 (-.f64 1 x)))
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2)) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) (+.f64 -1 x))
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2)) (*.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) 1) (neg.f64 (-.f64 1 x)))
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2)) (*.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) 1) (+.f64 -1 x))
(fma.f64 (.f64 x (cbrt.f64 -1/6)) (pow.f64 (.f64 x (cbrt.f64 -1/6)) 2) x)
(fma.f64 (.f64 x (cbrt.f64 -1/6)) (pow.f64 (.f64 x (cbrt.f64 -1/6)) 2) (-.f64 1 (-.f64 1 x)))
(fma.f64 (pow.f64 (.f64 x (cbrt.f64 -1/6)) 2) (.f64 x (cbrt.f64 -1/6)) x)
(fma.f64 (pow.f64 (.f64 x (cbrt.f64 -1/6)) 2) (.f64 x (cbrt.f64 -1/6)) (-.f64 1 (-.f64 1 x)))
(fma.f64 (.f64 x x) (.f64 x -1/6) x)
(fma.f64 (.f64 x x) (.f64 x -1/6) (-.f64 1 (-.f64 1 x)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) (neg.f64 (-.f64 1 x)))
(fma.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) (+.f64 -1 x))
(fma.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) (*.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) 1) (neg.f64 (-.f64 1 x)))
(fma.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) (*.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) 1) (+.f64 -1 x))
(fma.f64 (.f64 (sqrt.f64 -1/6) (pow.f64 x 3/2)) (.f64 (sqrt.f64 -1/6) (pow.f64 x 3/2)) x)
(fma.f64 (.f64 (sqrt.f64 -1/6) (pow.f64 x 3/2)) (.f64 (sqrt.f64 -1/6) (pow.f64 x 3/2)) (-.f64 1 (-.f64 1 x)))
(fma.f64 (fma.f64 (pow.f64 x 9) -1/216 1) (/.f64 1 (+.f64 1 (fma.f64 (pow.f64 x 6) 1/36 (*.f64 1/6 (pow.f64 x 3))))) (neg.f64 (-.f64 1 x)))
(fma.f64 (fma.f64 (pow.f64 x 9) -1/216 1) (/.f64 1 (+.f64 1 (fma.f64 (pow.f64 x 6) 1/36 (*.f64 1/6 (pow.f64 x 3))))) (+.f64 -1 x))
(fma.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) (fma.f64 -1/6 (pow.f64 x 3) 2))) x)
(fma.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) (fma.f64 -1/6 (pow.f64 x 3) 2))) (-.f64 1 (-.f64 1 x)))
(fma.f64 (-.f64 1 (.f64 (pow.f64 x 6) 1/36)) (/.f64 1 (+.f64 1 (.f64 1/6 (pow.f64 x 3)))) (neg.f64 (-.f64 1 x)))
(fma.f64 (-.f64 1 (.f64 (pow.f64 x 6) 1/36)) (/.f64 1 (+.f64 1 (.f64 1/6 (pow.f64 x 3)))) (+.f64 -1 x))
(fma.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) -1) (/.f64 1 (fma.f64 -1/6 (pow.f64 x 3) 2)) x)
(fma.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) -1) (/.f64 1 (fma.f64 -1/6 (pow.f64 x 3) 2)) (-.f64 1 (-.f64 1 x)))
(fma.f64 (pow.f64 x 3/2) (*.f64 (pow.f64 x 3/2) -1/6) x)
(fma.f64 (pow.f64 x 3/2) (*.f64 (pow.f64 x 3/2) -1/6) (-.f64 1 (-.f64 1 x)))
(fma.f64 (+.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) 1) (-.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) 1) x)
(fma.f64 (+.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) 1) (-.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) 1) (-.f64 1 (-.f64 1 x)))
(fma.f64 (.f64 -1/6 x) (.f64 x x) x)
(fma.f64 (.f64 -1/6 x) (.f64 x x) (-.f64 1 (-.f64 1 x)))
(fma.f64 (.f64 -1/6 (.f64 x x)) x x)
(fma.f64 (.f64 -1/6 (.f64 x x)) x (-.f64 1 (-.f64 1 x)))
(fma.f64 (*.f64 -1/6 (pow.f64 x 3/2)) (pow.f64 x 3/2) x)
(fma.f64 (*.f64 -1/6 (pow.f64 x 3/2)) (pow.f64 x 3/2) (-.f64 1 (-.f64 1 x)))
(-.f64 (fma.f64 -1/6 (pow.f64 x 3) 2) 1)
(-.f64 (/.f64 1 (+.f64 1 (.f64 1/6 (pow.f64 x 3)))) (/.f64 (.f64 (pow.f64 x 6) 1/36) (+.f64 1 (*.f64 1/6 (pow.f64 x 3)))))
(*.f64 1 (fma.f64 -1/6 (pow.f64 x 3) 1))
(*.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 1)
(*.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) (cbrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2)) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2)) (.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) 1))
(*.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)))
(.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) (.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) 1))
(.f64 (fma.f64 (pow.f64 x 9) -1/216 1) (/.f64 1 (+.f64 1 (fma.f64 (pow.f64 x 6) 1/36 (.f64 1/6 (pow.f64 x 3))))))
(.f64 (-.f64 1 (.f64 (pow.f64 x 6) 1/36)) (/.f64 1 (+.f64 1 (*.f64 1/6 (pow.f64 x 3)))))
(/.f64 1 (/.f64 (+.f64 1 (fma.f64 (pow.f64 x 6) 1/36 (*.f64 1/6 (pow.f64 x 3)))) (fma.f64 (pow.f64 x 9) -1/216 1)))
(/.f64 1 (/.f64 (+.f64 1 (.f64 1/6 (pow.f64 x 3))) (-.f64 1 (.f64 (pow.f64 x 6) 1/36))))
(/.f64 (fma.f64 (pow.f64 x 9) -1/216 1) (+.f64 1 (fma.f64 (pow.f64 x 6) 1/36 (*.f64 1/6 (pow.f64 x 3)))))
(/.f64 (fma.f64 (pow.f64 x 9) -1/216 1) (fma.f64 (pow.f64 x 6) 1/36 (+.f64 1 (*.f64 1/6 (pow.f64 x 3)))))
(/.f64 (-.f64 1 (.f64 (pow.f64 x 6) 1/36)) (+.f64 1 (.f64 1/6 (pow.f64 x 3))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 9) -1/216 1)) (neg.f64 (+.f64 1 (fma.f64 (pow.f64 x 6) 1/36 (*.f64 1/6 (pow.f64 x 3))))))
(/.f64 (neg.f64 (-.f64 1 (.f64 (pow.f64 x 6) 1/36))) (neg.f64 (+.f64 1 (.f64 1/6 (pow.f64 x 3)))))
(/.f64 (fma.f64 (pow.f64 x 6) 1/36 -1) (fma.f64 -1/6 (pow.f64 x 3) -1))
(/.f64 (.f64 (fma.f64 (pow.f64 x 9) -1/216 1) 1) (+.f64 1 (fma.f64 (pow.f64 x 6) 1/36 (.f64 1/6 (pow.f64 x 3)))))
(/.f64 (.f64 (-.f64 1 (.f64 (pow.f64 x 6) 1/36)) 1) (+.f64 1 (*.f64 1/6 (pow.f64 x 3))))
(pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 1)
(pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) 3)
(pow.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) 2)
(pow.f64 (/.f64 (+.f64 1 (fma.f64 (pow.f64 x 6) 1/36 (*.f64 1/6 (pow.f64 x 3)))) (fma.f64 (pow.f64 x 9) -1/216 1)) -1)
(pow.f64 (/.f64 (+.f64 1 (.f64 1/6 (pow.f64 x 3))) (-.f64 1 (.f64 (pow.f64 x 6) 1/36))) -1)
(sqrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2))
(log.f64 (exp.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/6 (pow.f64 x 3) 1))))
(cbrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3))
(expm1.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) 2)))
(exp.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3))))
(exp.f64 (.f64 (log1p.f64 (.f64 -1/6 (pow.f64 x 3))) 1))
(exp.f64 (.f64 (.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3))) 1) 1))
(exp.f64 (.f64 (.f64 1/3 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3)))) 3))
(exp.f64 (.f64 (.f64 3 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3)))) 1/3))
(exp.f64 (.f64 (.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3))) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1))) 2))
(log1p.f64 (expm1.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)))
(fma.f64 1 (*.f64 -1/6 (pow.f64 x 3)) 1)
(fma.f64 1 (fma.f64 -1/6 (pow.f64 x 3) 2) -1)
(fma.f64 -1/6 (pow.f64 x 3) 1)
(fma.f64 x (.f64 (.f64 x x) -1/6) 1)
(fma.f64 (pow.f64 x 3) -1/6 1)
(fma.f64 (*.f64 -1/6 (pow.f64 x 3)) 1 1)
(fma.f64 (.f64 x (cbrt.f64 -1/6)) (pow.f64 (.f64 x (cbrt.f64 -1/6)) 2) 1)
(fma.f64 (pow.f64 (.f64 x (cbrt.f64 -1/6)) 2) (.f64 x (cbrt.f64 -1/6)) 1)
(fma.f64 (.f64 x x) (.f64 x -1/6) 1)
(fma.f64 (.f64 (sqrt.f64 -1/6) (pow.f64 x 3/2)) (.f64 (sqrt.f64 -1/6) (pow.f64 x 3/2)) 1)
(fma.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) (fma.f64 -1/6 (pow.f64 x 3) 2))) 1)
(fma.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) -1) (/.f64 1 (fma.f64 -1/6 (pow.f64 x 3) 2)) 1)
(fma.f64 (fma.f64 -1/6 (pow.f64 x 3) 2) 1 -1)
(fma.f64 (pow.f64 x 3/2) (*.f64 (pow.f64 x 3/2) -1/6) 1)
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 2)) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 2))) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 2)) -1)
(fma.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 2)) (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 2)) -1)
(fma.f64 (+.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) 1) (-.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) 1) 1)
(fma.f64 (.f64 -1/6 x) (.f64 x x) 1)
(fma.f64 (.f64 -1/6 (.f64 x x)) x 1)
(fma.f64 (*.f64 -1/6 (pow.f64 x 3/2)) (pow.f64 x 3/2) 1)

Outputs
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
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)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(*.f64 -1/6 (pow.f64 x 3))
(+.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)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(*.f64 -1/6 (pow.f64 x 3))
(+.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)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
1
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)
(fma.f64 -1/6 (pow.f64 x 3) 1)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)
(fma.f64 -1/6 (pow.f64 x 3) 1)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)
(fma.f64 -1/6 (pow.f64 x 3) 1)
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)
(fma.f64 -1/6 (pow.f64 x 3) 1)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)
(fma.f64 -1/6 (pow.f64 x 3) 1)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)
(fma.f64 -1/6 (pow.f64 x 3) 1)
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)
(fma.f64 -1/6 (pow.f64 x 3) 1)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)
(fma.f64 -1/6 (pow.f64 x 3) 1)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)
(fma.f64 -1/6 (pow.f64 x 3) 1)
(+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) -1))
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 1 (*.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) 1))
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) -1)
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) 0)
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 0 (*.f64 -1/6 (pow.f64 x 3)))
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 -1 (fma.f64 -1/6 (pow.f64 x 3) 1))
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) 1)
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6)) (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 x 3))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 x 3)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6))))
(*.f64 -1/6 (pow.f64 x 3))
(.f64 1 (.f64 -1/6 (pow.f64 x 3)))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(.f64 x (.f64 (*.f64 x x) -1/6))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -1/6)
(*.f64 -1/6 (pow.f64 x 3))
(.f64 (.f64 -1/6 (pow.f64 x 3)) 1)
(*.f64 -1/6 (pow.f64 x 3))
(.f64 (.f64 x (cbrt.f64 -1/6)) (pow.f64 (*.f64 x (cbrt.f64 -1/6)) 2))
(*.f64 -1/6 (pow.f64 x 3))
(.f64 (pow.f64 (.f64 x (cbrt.f64 -1/6)) 2) (*.f64 x (cbrt.f64 -1/6)))
(*.f64 -1/6 (pow.f64 x 3))
(.f64 (.f64 x x) (*.f64 x -1/6))
(*.f64 -1/6 (pow.f64 x 3))
(.f64 (.f64 (sqrt.f64 -1/6) (pow.f64 x 3/2)) (*.f64 (sqrt.f64 -1/6) (pow.f64 x 3/2)))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) (fma.f64 -1/6 (pow.f64 x 3) 2))))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) (fma.f64 -1/6 (pow.f64 x 3) 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3)) (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) (fma.f64 -1/6 (pow.f64 x 3) 2)))
(*.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) -1) (/.f64 1 (fma.f64 -1/6 (pow.f64 x 3) 2)))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2)) (/.f64 1 (fma.f64 -1/6 (pow.f64 x 3) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2)) (fma.f64 -1/6 (pow.f64 x 3) 2))
(.f64 (pow.f64 x 3/2) (.f64 (pow.f64 x 3/2) -1/6))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 (+.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) 1) (-.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) 1))
(*.f64 -1/6 (pow.f64 x 3))
(.f64 (.f64 -1/6 x) (*.f64 x x))
(*.f64 -1/6 (pow.f64 x 3))
(.f64 (.f64 -1/6 (*.f64 x x)) x)
(*.f64 -1/6 (pow.f64 x 3))
(.f64 (.f64 -1/6 (pow.f64 x 3/2)) (pow.f64 x 3/2))
(*.f64 -1/6 (pow.f64 x 3))
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(+.f64 (/.f64 (-.f64 1 (.f64 (pow.f64 x 6) 1/36)) (+.f64 1 (.f64 (pow.f64 x 3) 1/6))) (neg.f64 (-.f64 1 x)))
(+.f64 (+.f64 -1 (/.f64 (fma.f64 (pow.f64 x 6) 1/36 -1) (fma.f64 -1/6 (pow.f64 x 3) -1))) x)
(fma.f64 (-.f64 1 (.f64 (pow.f64 x 6) 1/36)) (/.f64 1 (+.f64 1 (.f64 1/6 (pow.f64 x 3)))) (+.f64 -1 x))
(+.f64 (/.f64 (-.f64 1 (.f64 (pow.f64 x 6) 1/36)) (+.f64 1 (.f64 (pow.f64 x 3) 1/6))) (neg.f64 (-.f64 1 x)))
(+.f64 (+.f64 -1 (/.f64 (fma.f64 (pow.f64 x 6) 1/36 -1) (fma.f64 -1/6 (pow.f64 x 3) -1))) x)
(fma.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) -1) (/.f64 1 (fma.f64 -1/6 (pow.f64 x 3) 2)) x)
(fma.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2)) (/.f64 1 (fma.f64 -1/6 (pow.f64 x 3) 2)) x)
(+.f64 x (/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2)) (fma.f64 -1/6 (pow.f64 x 3) 2)))
(fma.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) -1) (/.f64 1 (fma.f64 -1/6 (pow.f64 x 3) 2)) (-.f64 1 (-.f64 1 x)))
(fma.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2)) (/.f64 1 (fma.f64 -1/6 (pow.f64 x 3) 2)) x)
(+.f64 x (/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2)) (fma.f64 -1/6 (pow.f64 x 3) 2)))
(fma.f64 (pow.f64 x 3/2) (*.f64 (pow.f64 x 3/2) -1/6) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (pow.f64 x 3/2) (*.f64 (pow.f64 x 3/2) -1/6) (-.f64 1 (-.f64 1 x)))
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (+.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) 1) (-.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) 1) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (+.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) 1) (-.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) 1) (-.f64 1 (-.f64 1 x)))
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (.f64 -1/6 x) (.f64 x x) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (.f64 -1/6 x) (.f64 x x) (-.f64 1 (-.f64 1 x)))
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (.f64 -1/6 (.f64 x x)) x x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (.f64 -1/6 (.f64 x x)) x (-.f64 1 (-.f64 1 x)))
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (*.f64 -1/6 (pow.f64 x 3/2)) (pow.f64 x 3/2) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (*.f64 -1/6 (pow.f64 x 3/2)) (pow.f64 x 3/2) (-.f64 1 (-.f64 1 x)))
(fma.f64 -1/6 (pow.f64 x 3) x)
(-.f64 (fma.f64 -1/6 (pow.f64 x 3) 2) 1)
(fma.f64 -1/6 (pow.f64 x 3) 1)
(-.f64 (/.f64 1 (+.f64 1 (.f64 1/6 (pow.f64 x 3)))) (/.f64 (.f64 (pow.f64 x 6) 1/36) (+.f64 1 (*.f64 1/6 (pow.f64 x 3)))))
(/.f64 (-.f64 1 (.f64 (pow.f64 x 6) 1/36)) (+.f64 1 (.f64 (pow.f64 x 3) 1/6)))
(/.f64 (fma.f64 (pow.f64 x 6) 1/36 -1) (fma.f64 -1/6 (pow.f64 x 3) -1))
(*.f64 1 (fma.f64 -1/6 (pow.f64 x 3) 1))
(fma.f64 -1/6 (pow.f64 x 3) 1)
(*.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 1)
(fma.f64 -1/6 (pow.f64 x 3) 1)
(*.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) (cbrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2)) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)))
(*.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) (cbrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2)))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2)) (.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) 1))
(*.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) (cbrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2)))
(*.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)))
(fma.f64 -1/6 (pow.f64 x 3) 1)
(.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) (.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) 1))
(fma.f64 -1/6 (pow.f64 x 3) 1)
(.f64 (fma.f64 (pow.f64 x 9) -1/216 1) (/.f64 1 (+.f64 1 (fma.f64 (pow.f64 x 6) 1/36 (.f64 1/6 (pow.f64 x 3))))))
(/.f64 (fma.f64 (pow.f64 x 9) -1/216 1) (+.f64 1 (fma.f64 (pow.f64 x 6) 1/36 (*.f64 (pow.f64 x 3) 1/6))))
(/.f64 (fma.f64 (pow.f64 x 9) -1/216 1) (fma.f64 (pow.f64 x 6) 1/36 (fma.f64 (pow.f64 x 3) 1/6 1)))
(.f64 (-.f64 1 (.f64 (pow.f64 x 6) 1/36)) (/.f64 1 (+.f64 1 (*.f64 1/6 (pow.f64 x 3)))))
(/.f64 (-.f64 1 (.f64 (pow.f64 x 6) 1/36)) (+.f64 1 (.f64 (pow.f64 x 3) 1/6)))
(/.f64 (fma.f64 (pow.f64 x 6) 1/36 -1) (fma.f64 -1/6 (pow.f64 x 3) -1))
(/.f64 1 (/.f64 (+.f64 1 (fma.f64 (pow.f64 x 6) 1/36 (*.f64 1/6 (pow.f64 x 3)))) (fma.f64 (pow.f64 x 9) -1/216 1)))
(/.f64 (fma.f64 (pow.f64 x 9) -1/216 1) (+.f64 1 (fma.f64 (pow.f64 x 6) 1/36 (*.f64 (pow.f64 x 3) 1/6))))
(/.f64 (fma.f64 (pow.f64 x 9) -1/216 1) (fma.f64 (pow.f64 x 6) 1/36 (fma.f64 (pow.f64 x 3) 1/6 1)))
(/.f64 1 (/.f64 (+.f64 1 (.f64 1/6 (pow.f64 x 3))) (-.f64 1 (.f64 (pow.f64 x 6) 1/36))))
(/.f64 (-.f64 1 (.f64 (pow.f64 x 6) 1/36)) (+.f64 1 (.f64 (pow.f64 x 3) 1/6)))
(/.f64 (fma.f64 (pow.f64 x 6) 1/36 -1) (fma.f64 -1/6 (pow.f64 x 3) -1))
(/.f64 (fma.f64 (pow.f64 x 9) -1/216 1) (+.f64 1 (fma.f64 (pow.f64 x 6) 1/36 (*.f64 1/6 (pow.f64 x 3)))))
(/.f64 (fma.f64 (pow.f64 x 9) -1/216 1) (+.f64 1 (fma.f64 (pow.f64 x 6) 1/36 (*.f64 (pow.f64 x 3) 1/6))))
(/.f64 (fma.f64 (pow.f64 x 9) -1/216 1) (fma.f64 (pow.f64 x 6) 1/36 (fma.f64 (pow.f64 x 3) 1/6 1)))
(/.f64 (fma.f64 (pow.f64 x 9) -1/216 1) (fma.f64 (pow.f64 x 6) 1/36 (+.f64 1 (*.f64 1/6 (pow.f64 x 3)))))
(/.f64 (fma.f64 (pow.f64 x 9) -1/216 1) (+.f64 1 (fma.f64 (pow.f64 x 6) 1/36 (*.f64 (pow.f64 x 3) 1/6))))
(/.f64 (fma.f64 (pow.f64 x 9) -1/216 1) (fma.f64 (pow.f64 x 6) 1/36 (fma.f64 (pow.f64 x 3) 1/6 1)))
(/.f64 (-.f64 1 (.f64 (pow.f64 x 6) 1/36)) (+.f64 1 (.f64 1/6 (pow.f64 x 3))))
(/.f64 (-.f64 1 (.f64 (pow.f64 x 6) 1/36)) (+.f64 1 (.f64 (pow.f64 x 3) 1/6)))
(/.f64 (fma.f64 (pow.f64 x 6) 1/36 -1) (fma.f64 -1/6 (pow.f64 x 3) -1))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 9) -1/216 1)) (neg.f64 (+.f64 1 (fma.f64 (pow.f64 x 6) 1/36 (*.f64 1/6 (pow.f64 x 3))))))
(/.f64 (fma.f64 (pow.f64 x 9) -1/216 1) (+.f64 1 (fma.f64 (pow.f64 x 6) 1/36 (*.f64 (pow.f64 x 3) 1/6))))
(/.f64 (fma.f64 (pow.f64 x 9) -1/216 1) (fma.f64 (pow.f64 x 6) 1/36 (fma.f64 (pow.f64 x 3) 1/6 1)))
(/.f64 (neg.f64 (-.f64 1 (.f64 (pow.f64 x 6) 1/36))) (neg.f64 (+.f64 1 (.f64 1/6 (pow.f64 x 3)))))
(/.f64 (-.f64 1 (.f64 (pow.f64 x 6) 1/36)) (+.f64 1 (.f64 (pow.f64 x 3) 1/6)))
(/.f64 (fma.f64 (pow.f64 x 6) 1/36 -1) (fma.f64 -1/6 (pow.f64 x 3) -1))
(/.f64 (fma.f64 (pow.f64 x 6) 1/36 -1) (fma.f64 -1/6 (pow.f64 x 3) -1))
(/.f64 (-.f64 1 (.f64 (pow.f64 x 6) 1/36)) (+.f64 1 (.f64 (pow.f64 x 3) 1/6)))
(/.f64 (.f64 (fma.f64 (pow.f64 x 9) -1/216 1) 1) (+.f64 1 (fma.f64 (pow.f64 x 6) 1/36 (.f64 1/6 (pow.f64 x 3)))))
(/.f64 (fma.f64 (pow.f64 x 9) -1/216 1) (+.f64 1 (fma.f64 (pow.f64 x 6) 1/36 (*.f64 (pow.f64 x 3) 1/6))))
(/.f64 (fma.f64 (pow.f64 x 9) -1/216 1) (fma.f64 (pow.f64 x 6) 1/36 (fma.f64 (pow.f64 x 3) 1/6 1)))
(/.f64 (.f64 (-.f64 1 (.f64 (pow.f64 x 6) 1/36)) 1) (+.f64 1 (*.f64 1/6 (pow.f64 x 3))))
(/.f64 (-.f64 1 (.f64 (pow.f64 x 6) 1/36)) (+.f64 1 (.f64 (pow.f64 x 3) 1/6)))
(/.f64 (fma.f64 (pow.f64 x 6) 1/36 -1) (fma.f64 -1/6 (pow.f64 x 3) -1))
(pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 1)
(fma.f64 -1/6 (pow.f64 x 3) 1)
(pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) 3)
(fma.f64 -1/6 (pow.f64 x 3) 1)
(pow.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) 1/2)
(fma.f64 -1/6 (pow.f64 x 3) 1)
(pow.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3) 1/3)
(fma.f64 -1/6 (pow.f64 x 3) 1)
(pow.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) 2)
(fma.f64 -1/6 (pow.f64 x 3) 1)
(pow.f64 (/.f64 (+.f64 1 (fma.f64 (pow.f64 x 6) 1/36 (*.f64 1/6 (pow.f64 x 3)))) (fma.f64 (pow.f64 x 9) -1/216 1)) -1)
(/.f64 (fma.f64 (pow.f64 x 9) -1/216 1) (+.f64 1 (fma.f64 (pow.f64 x 6) 1/36 (*.f64 (pow.f64 x 3) 1/6))))
(/.f64 (fma.f64 (pow.f64 x 9) -1/216 1) (fma.f64 (pow.f64 x 6) 1/36 (fma.f64 (pow.f64 x 3) 1/6 1)))
(pow.f64 (/.f64 (+.f64 1 (.f64 1/6 (pow.f64 x 3))) (-.f64 1 (.f64 (pow.f64 x 6) 1/36))) -1)
(/.f64 (-.f64 1 (.f64 (pow.f64 x 6) 1/36)) (+.f64 1 (.f64 (pow.f64 x 3) 1/6)))
(/.f64 (fma.f64 (pow.f64 x 6) 1/36 -1) (fma.f64 -1/6 (pow.f64 x 3) -1))
(sqrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2))
(fma.f64 -1/6 (pow.f64 x 3) 1)
(log.f64 (exp.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)))
(fma.f64 -1/6 (pow.f64 x 3) 1)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/6 (pow.f64 x 3) 1))))
(fma.f64 -1/6 (pow.f64 x 3) 1)
(cbrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3))
(fma.f64 -1/6 (pow.f64 x 3) 1)
(expm1.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) 2)))
(exp.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3))))
(fma.f64 -1/6 (pow.f64 x 3) 1)
(exp.f64 (.f64 (log1p.f64 (.f64 -1/6 (pow.f64 x 3))) 1))
(fma.f64 -1/6 (pow.f64 x 3) 1)
(exp.f64 (.f64 (.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3))) 1) 1))
(fma.f64 -1/6 (pow.f64 x 3) 1)
(exp.f64 (.f64 (.f64 1/3 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3)))) 3))
(fma.f64 -1/6 (pow.f64 x 3) 1)
(exp.f64 (.f64 (.f64 3 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3)))) 1/3))
(fma.f64 -1/6 (pow.f64 x 3) 1)
(exp.f64 (.f64 (.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3))) 3) 1/3))
(fma.f64 -1/6 (pow.f64 x 3) 1)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1))) 2))
(fma.f64 -1/6 (pow.f64 x 3) 1)
(log1p.f64 (expm1.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)))
(fma.f64 -1/6 (pow.f64 x 3) 1)
(fma.f64 1 (*.f64 -1/6 (pow.f64 x 3)) 1)
(fma.f64 -1/6 (pow.f64 x 3) 1)
(fma.f64 1 (fma.f64 -1/6 (pow.f64 x 3) 2) -1)
(fma.f64 -1/6 (pow.f64 x 3) 1)
(fma.f64 -1/6 (pow.f64 x 3) 1)
(fma.f64 x (.f64 (.f64 x x) -1/6) 1)
(fma.f64 -1/6 (pow.f64 x 3) 1)
(fma.f64 (pow.f64 x 3) -1/6 1)
(fma.f64 -1/6 (pow.f64 x 3) 1)
(fma.f64 (*.f64 -1/6 (pow.f64 x 3)) 1 1)
(fma.f64 -1/6 (pow.f64 x 3) 1)
(fma.f64 (.f64 x (cbrt.f64 -1/6)) (pow.f64 (.f64 x (cbrt.f64 -1/6)) 2) 1)
(fma.f64 -1/6 (pow.f64 x 3) 1)
(fma.f64 (pow.f64 (.f64 x (cbrt.f64 -1/6)) 2) (.f64 x (cbrt.f64 -1/6)) 1)
(fma.f64 -1/6 (pow.f64 x 3) 1)
(fma.f64 (.f64 x x) (.f64 x -1/6) 1)
(fma.f64 -1/6 (pow.f64 x 3) 1)
(fma.f64 (.f64 (sqrt.f64 -1/6) (pow.f64 x 3/2)) (.f64 (sqrt.f64 -1/6) (pow.f64 x 3/2)) 1)
(fma.f64 -1/6 (pow.f64 x 3) 1)
(fma.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) (fma.f64 -1/6 (pow.f64 x 3) 2))) 1)
(fma.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) (fma.f64 -1/6 (pow.f64 x 3) 2))) 1)
(+.f64 1 (/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3)) (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) (fma.f64 -1/6 (pow.f64 x 3) 2))))
(fma.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) -1) (/.f64 1 (fma.f64 -1/6 (pow.f64 x 3) 2)) 1)
(fma.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2)) (/.f64 1 (fma.f64 -1/6 (pow.f64 x 3) 2)) 1)
(+.f64 1 (/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2)) (fma.f64 -1/6 (pow.f64 x 3) 2)))
(fma.f64 (fma.f64 -1/6 (pow.f64 x 3) 2) 1 -1)
(fma.f64 -1/6 (pow.f64 x 3) 1)
(fma.f64 (pow.f64 x 3/2) (*.f64 (pow.f64 x 3/2) -1/6) 1)
(fma.f64 -1/6 (pow.f64 x 3) 1)
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 2)) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 2))) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 2)) -1)
(fma.f64 -1/6 (pow.f64 x 3) 1)
(fma.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 2)) (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 2)) -1)
(fma.f64 -1/6 (pow.f64 x 3) 1)
(fma.f64 (+.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) 1) (-.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) 1) 1)
(fma.f64 -1/6 (pow.f64 x 3) 1)
(fma.f64 (.f64 -1/6 x) (.f64 x x) 1)
(fma.f64 -1/6 (pow.f64 x 3) 1)
(fma.f64 (.f64 -1/6 (.f64 x x)) x 1)
(fma.f64 -1/6 (pow.f64 x 3) 1)
(fma.f64 (*.f64 -1/6 (pow.f64 x 3/2)) (pow.f64 x 3/2) 1)
(fma.f64 -1/6 (pow.f64 x 3) 1)

localize12.0ms (0.2%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
	99.1%	(+.f64 x (hypot.f64 1 x))
✓	93.8%	(log.f64 (+.f64 x (hypot.f64 1 x)))

Compiler

Compiled 25 to 16 computations (36% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite56.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	158	17
2	1999	17

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

Inputs
(log.f64 (+.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))

simplify67.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1204×	`distribute-lft-in`
1042×	`distribute-rgt-in`
716×	`fma-def`
574×	`associate-+l-`
514×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	115	954
1	280	898
2	841	878
3	3674	878

Stop Event

1×	node limit

Counts

32 → 69

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)))))
(+.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))

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

localize22.0ms (0.3%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(+.f64 (*.f64 3/40 (pow.f64 x 5)) x)
	99.8%	(*.f64 -1/6 (pow.f64 x 3))
✓	99.5%	(*.f64 3/40 (pow.f64 x 5))
✓	73.8%	(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x))

Compiler

Compiled 57 to 43 computations (24.6% saved)

series2.0ms (0%)

Counts

3 → 9

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(*.f64 3/40 (pow.f64 x 5))
0.0ms	x	@	inf	(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x))
0.0ms	x	@	-inf	(*.f64 3/40 (pow.f64 x 5))
0.0ms	x	@	inf	(*.f64 3/40 (pow.f64 x 5))
0.0ms	x	@	0	(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x))

rewrite107.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1212×	`log-prod`
1200×	`fma-def`
604×	`pow-exp`
590×	`pow-prod-up`
544×	`fma-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	57
1	300	57
2	3800	57

Stop Event

1×	node limit

Counts

3 → 169

Calls

Call 1

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

Outputs
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)))) 1)
(-.f64 (/.f64 (.f64 (pow.f64 x 6) 1/36) (-.f64 (.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) x))) (/.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) x))))
(*.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)) 1)
(*.f64 1 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)))
(*.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))) 2) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))))
(*.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))) (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))))
(.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)) (/.f64 1 (fma.f64 (fma.f64 3/40 (pow.f64 x 5) x) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (.f64 -1/6 (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 1/36))))
(.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)) (/.f64 1 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) x))))
(/.f64 1 (/.f64 (fma.f64 (fma.f64 3/40 (pow.f64 x 5) x) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (.f64 -1/6 (pow.f64 x 3))) (.f64 (pow.f64 x 6) 1/36)) (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3))))
(/.f64 1 (/.f64 (-.f64 (.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) x)) (-.f64 (.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2))))
(/.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)) (fma.f64 (fma.f64 3/40 (pow.f64 x 5) x) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (.f64 -1/6 (pow.f64 x 3))) (.f64 (pow.f64 x 6) 1/36)))
(/.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)) (+.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2) (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 (*.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) x)))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)) (-.f64 (.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3))) (neg.f64 (fma.f64 (fma.f64 3/40 (pow.f64 x 5) x) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (.f64 -1/6 (pow.f64 x 3))) (.f64 (pow.f64 x 6) 1/36))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2))) (neg.f64 (-.f64 (.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) x))))
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(fma.f64 (.f64 (sqrt.f64 3/40) (pow.f64 x 5/2)) (.f64 (sqrt.f64 3/40) (pow.f64 x 5/2)) x)
(fma.f64 (pow.f64 x 5/2) (*.f64 (pow.f64 x 5/2) 3/40) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 (*.f64 3/40 (cbrt.f64 (pow.f64 x 10))) (cbrt.f64 (pow.f64 x 5)) x)
(fma.f64 (*.f64 3/40 (pow.f64 x 5/2)) (pow.f64 x 5/2) x)

simplify93.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

784×	`unswap-sqr`
664×	`cancel-sign-sub-inv`
576×	`times-frac`
542×	`associate-+r+`
432×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	380	5846
1	902	5694
2	2726	5520

Stop Event

1×	node limit

Counts

178 → 196

Calls

Call 1

Inputs
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(*.f64 3/40 (pow.f64 x 5))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 3/40 (pow.f64 x 5)))
(*.f64 3/40 (pow.f64 x 5))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 3/40 (pow.f64 x 5)))
x
(*.f64 3/40 (pow.f64 x 5))
(*.f64 3/40 (pow.f64 x 5))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)))) 1)
(-.f64 (/.f64 (.f64 (pow.f64 x 6) 1/36) (-.f64 (.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) x))) (/.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) x))))
(*.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)) 1)
(*.f64 1 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)))
(*.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))) 2) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))))
(*.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))) (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))))
(.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)) (/.f64 1 (fma.f64 (fma.f64 3/40 (pow.f64 x 5) x) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (.f64 -1/6 (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 1/36))))
(.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)) (/.f64 1 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) x))))
(/.f64 1 (/.f64 (fma.f64 (fma.f64 3/40 (pow.f64 x 5) x) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (.f64 -1/6 (pow.f64 x 3))) (.f64 (pow.f64 x 6) 1/36)) (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3))))
(/.f64 1 (/.f64 (-.f64 (.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) x)) (-.f64 (.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2))))
(/.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)) (fma.f64 (fma.f64 3/40 (pow.f64 x 5) x) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (.f64 -1/6 (pow.f64 x 3))) (.f64 (pow.f64 x 6) 1/36)))
(/.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)) (+.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2) (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 (*.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) x)))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)) (-.f64 (.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3))) (neg.f64 (fma.f64 (fma.f64 3/40 (pow.f64 x 5) x) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (.f64 -1/6 (pow.f64 x 3))) (.f64 (pow.f64 x 6) 1/36))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2))) (neg.f64 (-.f64 (.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) x))))
(/.f64 (+.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) (.f64 -1/6 (pow.f64 x 3))) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) (.f64 -1/6 (pow.f64 x 3))) 2) (-.f64 (.f64 x x) (.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -1/6 (pow.f64 x 3))) x))))
(/.f64 (-.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2) (.f64 (pow.f64 x 6) 1/36)) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (.f64 -1/6 (pow.f64 x 3))))
(/.f64 (-.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) (.f64 -1/6 (pow.f64 x 3))) 2) (.f64 x x)) (-.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -1/6 (pow.f64 x 3))) x))
(pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)) 1)
(pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))) 3)
(pow.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))) 2)
(pow.f64 (/.f64 (fma.f64 (fma.f64 3/40 (pow.f64 x 5) x) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (.f64 -1/6 (pow.f64 x 3))) (.f64 (pow.f64 x 6) 1/36)) (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3))) -1)
(pow.f64 (/.f64 (-.f64 (.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) x)) (-.f64 (.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2))) -1)
(sqrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)) 2))
(log.f64 (exp.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)))))
(log.f64 (.f64 (exp.f64 x) (exp.f64 (fma.f64 3/40 (pow.f64 x 5) (.f64 -1/6 (pow.f64 x 3))))))
(log.f64 (.f64 (exp.f64 x) (pow.f64 (exp.f64 1) (fma.f64 3/40 (pow.f64 x 5) (.f64 -1/6 (pow.f64 x 3))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (fma.f64 3/40 (pow.f64 x 5) (.f64 -1/6 (pow.f64 x 3))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 x)) (pow.f64 (exp.f64 1) (fma.f64 3/40 (pow.f64 x 5) (.f64 -1/6 (pow.f64 x 3))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6) (+.f64 1 (expm1.f64 (fma.f64 3/40 (pow.f64 x 5) x)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 -1/6 (pow.f64 x 3)))) (exp.f64 (fma.f64 3/40 (pow.f64 x 5) x))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 -1/6 (pow.f64 x 3)))) (+.f64 1 (expm1.f64 (fma.f64 3/40 (pow.f64 x 5) x)))))
(log.f64 (.f64 (exp.f64 (fma.f64 3/40 (pow.f64 x 5) x)) (+.f64 1 (expm1.f64 (.f64 -1/6 (pow.f64 x 3))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 3/40 (pow.f64 x 5) x))) (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6)))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (fma.f64 3/40 (pow.f64 x 5) x))) (+.f64 1 (expm1.f64 (.f64 -1/6 (pow.f64 x 3))))))
(log.f64 (.f64 (exp.f64 (fma.f64 3/40 (pow.f64 x 5) (.f64 -1/6 (pow.f64 x 3)))) (+.f64 1 (expm1.f64 x))))
(log.f64 (.f64 (pow.f64 (exp.f64 1) (fma.f64 3/40 (pow.f64 x 5) (.f64 -1/6 (pow.f64 x 3)))) (exp.f64 x)))
(log.f64 (.f64 (pow.f64 (exp.f64 1) (fma.f64 3/40 (pow.f64 x 5) (.f64 -1/6 (pow.f64 x 3)))) (+.f64 1 (expm1.f64 x))))
(cbrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))))
(exp.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)))) 2))
(log1p.f64 (expm1.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.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))
(fma.f64 x 1 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -1/6 (pow.f64 x 3))))
(fma.f64 x (.f64 (.f64 x x) -1/6) (fma.f64 3/40 (pow.f64 x 5) x))
(fma.f64 (pow.f64 x 3) -1/6 (fma.f64 3/40 (pow.f64 x 5) x))
(fma.f64 (*.f64 -1/6 (pow.f64 x 3)) 1 (fma.f64 3/40 (pow.f64 x 5) x))
(fma.f64 3/40 (pow.f64 x 5) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))
(fma.f64 (pow.f64 x 5) 3/40 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))
(fma.f64 (.f64 3/40 (pow.f64 x 5)) 1 (+.f64 x (.f64 -1/6 (pow.f64 x 3))))
(fma.f64 (fma.f64 3/40 (pow.f64 x 5) x) 1 (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 1 x (fma.f64 3/40 (pow.f64 x 5) (*.f64 -1/6 (pow.f64 x 3))))
(fma.f64 1 (*.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) x))
(fma.f64 1 (.f64 3/40 (pow.f64 x 5)) (+.f64 x (.f64 -1/6 (pow.f64 x 3))))
(fma.f64 1 (fma.f64 3/40 (pow.f64 x 5) x) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 1 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -1/6 (pow.f64 x 3))) x)
(fma.f64 (cbrt.f64 (.f64 3/40 (pow.f64 x 5))) (cbrt.f64 (.f64 9/1600 (pow.f64 x 10))) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))
(fma.f64 (cbrt.f64 (.f64 9/1600 (pow.f64 x 10))) (cbrt.f64 (.f64 3/40 (pow.f64 x 5))) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))
(fma.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) (pow.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) 2) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) 2) (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (cbrt.f64 (pow.f64 x 10)) (.f64 (cbrt.f64 (pow.f64 x 5)) 3/40) (+.f64 x (.f64 -1/6 (pow.f64 x 3))))
(fma.f64 (.f64 x (cbrt.f64 -1/6)) (pow.f64 (.f64 x (cbrt.f64 -1/6)) 2) (fma.f64 3/40 (pow.f64 x 5) x))
(fma.f64 (pow.f64 (.f64 x (cbrt.f64 -1/6)) 2) (.f64 x (cbrt.f64 -1/6)) (fma.f64 3/40 (pow.f64 x 5) x))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (fma.f64 3/40 (pow.f64 x 5) (*.f64 -1/6 (pow.f64 x 3))))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (fma.f64 3/40 (pow.f64 x 5) (*.f64 -1/6 (pow.f64 x 3))))
(fma.f64 (.f64 x x) (.f64 x -1/6) (fma.f64 3/40 (pow.f64 x 5) x))
(fma.f64 (.f64 (sqrt.f64 3/40) (pow.f64 x 5/2)) (.f64 (sqrt.f64 3/40) (pow.f64 x 5/2)) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))
(fma.f64 (sqrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) (sqrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (pow.f64 x 3/2) (*.f64 (pow.f64 x 3/2) -1/6) (fma.f64 3/40 (pow.f64 x 5) x))
(fma.f64 (pow.f64 x 5/2) (.f64 (pow.f64 x 5/2) 3/40) (+.f64 x (.f64 -1/6 (pow.f64 x 3))))
(fma.f64 (.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) (.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) (fma.f64 3/40 (pow.f64 x 5) x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (fma.f64 3/40 (pow.f64 x 5) (*.f64 -1/6 (pow.f64 x 3))))
(fma.f64 (fma.f64 27/64000 (pow.f64 x 15) (pow.f64 x 3)) (/.f64 1 (-.f64 (fma.f64 9/1600 (pow.f64 x 10) (.f64 x x)) (.f64 3/40 (pow.f64 x 6)))) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (-.f64 (.f64 9/1600 (pow.f64 x 10)) (.f64 x x)) (/.f64 1 (fma.f64 3/40 (pow.f64 x 5) (neg.f64 x))) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -1/6 (pow.f64 x 3))) 1 x)
(fma.f64 (.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) (.f64 -1/6 (pow.f64 x 3)))) (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) (.f64 -1/6 (pow.f64 x 3))))) (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) (.f64 -1/6 (pow.f64 x 3)))) x)
(fma.f64 (sqrt.f64 (fma.f64 3/40 (pow.f64 x 5) (.f64 -1/6 (pow.f64 x 3)))) (sqrt.f64 (fma.f64 3/40 (pow.f64 x 5) (.f64 -1/6 (pow.f64 x 3)))) x)
(fma.f64 (.f64 3/40 (cbrt.f64 (pow.f64 x 10))) (cbrt.f64 (pow.f64 x 5)) (+.f64 x (.f64 -1/6 (pow.f64 x 3))))
(fma.f64 (.f64 3/40 (pow.f64 x 5/2)) (pow.f64 x 5/2) (+.f64 x (.f64 -1/6 (pow.f64 x 3))))
(fma.f64 (.f64 -1/6 x) (.f64 x x) (fma.f64 3/40 (pow.f64 x 5) x))
(fma.f64 (.f64 -1/6 (.f64 x x)) x (fma.f64 3/40 (pow.f64 x 5) x))
(fma.f64 (*.f64 -1/6 (pow.f64 x 3/2)) (pow.f64 x 3/2) (fma.f64 3/40 (pow.f64 x 5) x))
(+.f64 0 (*.f64 3/40 (pow.f64 x 5)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 3/40) (pow.f64 x 5))) (cbrt.f64 (pow.f64 (exp.f64 3/40) (pow.f64 x 5))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 3/40) (pow.f64 x 5)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3/40) (pow.f64 x 5)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3/40) (pow.f64 x 5)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 3/40 (pow.f64 x 5)))) 1)
(pow.f64 (*.f64 3/40 (pow.f64 x 5)) 1)
(pow.f64 (cbrt.f64 (*.f64 3/40 (pow.f64 x 5))) 3)
(pow.f64 (*.f64 27/64000 (pow.f64 x 15)) 1/3)
(pow.f64 (*.f64 (sqrt.f64 3/40) (pow.f64 x 5/2)) 2)
(sqrt.f64 (*.f64 9/1600 (pow.f64 x 10)))
(log.f64 (pow.f64 (exp.f64 3/40) (pow.f64 x 5)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 3/40 (pow.f64 x 5)))))
(cbrt.f64 (*.f64 27/64000 (pow.f64 x 15)))
(expm1.f64 (log1p.f64 (*.f64 3/40 (pow.f64 x 5))))
(exp.f64 (fma.f64 5 (log.f64 x) (log.f64 3/40)))
(exp.f64 (*.f64 (fma.f64 5 (log.f64 x) (log.f64 3/40)) 1))
(exp.f64 (.f64 (.f64 (fma.f64 5 (log.f64 x) (log.f64 3/40)) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 3/40 (pow.f64 x 5)))) 3))
(exp.f64 (.f64 (log.f64 (.f64 27/64000 (pow.f64 x 15))) 1/3))
(exp.f64 (.f64 (.f64 (fma.f64 5 (log.f64 x) (log.f64 3/40)) 3) 1/3))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 3/40) (pow.f64 x 5/2))) 2))
(log1p.f64 (expm1.f64 (*.f64 3/40 (pow.f64 x 5))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 3/40 (pow.f64 x 5) x))) 1)
(-.f64 (/.f64 (.f64 9/1600 (pow.f64 x 10)) (fma.f64 3/40 (pow.f64 x 5) (neg.f64 x))) (/.f64 (.f64 x x) (fma.f64 3/40 (pow.f64 x 5) (neg.f64 x))))
(*.f64 (fma.f64 3/40 (pow.f64 x 5) x) 1)
(*.f64 1 (fma.f64 3/40 (pow.f64 x 5) x))
(*.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) (pow.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) 2) (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)))
(*.f64 (sqrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) (sqrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)))
(.f64 (fma.f64 27/64000 (pow.f64 x 15) (pow.f64 x 3)) (/.f64 1 (-.f64 (fma.f64 9/1600 (pow.f64 x 10) (.f64 x x)) (*.f64 3/40 (pow.f64 x 6)))))
(.f64 (-.f64 (.f64 9/1600 (pow.f64 x 10)) (*.f64 x x)) (/.f64 1 (fma.f64 3/40 (pow.f64 x 5) (neg.f64 x))))
(/.f64 1 (/.f64 (-.f64 (fma.f64 9/1600 (pow.f64 x 10) (.f64 x x)) (.f64 3/40 (pow.f64 x 6))) (fma.f64 27/64000 (pow.f64 x 15) (pow.f64 x 3))))
(/.f64 1 (/.f64 (fma.f64 3/40 (pow.f64 x 5) (neg.f64 x)) (-.f64 (.f64 9/1600 (pow.f64 x 10)) (.f64 x x))))
(/.f64 (fma.f64 27/64000 (pow.f64 x 15) (pow.f64 x 3)) (-.f64 (fma.f64 9/1600 (pow.f64 x 10) (.f64 x x)) (.f64 3/40 (pow.f64 x 6))))
(/.f64 (fma.f64 27/64000 (pow.f64 x 15) (pow.f64 x 3)) (fma.f64 x x (-.f64 (.f64 9/1600 (pow.f64 x 10)) (.f64 3/40 (pow.f64 x 6)))))
(/.f64 (-.f64 (.f64 9/1600 (pow.f64 x 10)) (.f64 x x)) (fma.f64 3/40 (pow.f64 x 5) (neg.f64 x)))
(/.f64 (neg.f64 (fma.f64 27/64000 (pow.f64 x 15) (pow.f64 x 3))) (neg.f64 (-.f64 (fma.f64 9/1600 (pow.f64 x 10) (.f64 x x)) (.f64 3/40 (pow.f64 x 6)))))
(/.f64 (neg.f64 (-.f64 (.f64 9/1600 (pow.f64 x 10)) (.f64 x x))) (neg.f64 (fma.f64 3/40 (pow.f64 x 5) (neg.f64 x))))
(/.f64 (-.f64 (.f64 x x) (.f64 9/1600 (pow.f64 x 10))) (-.f64 x (*.f64 3/40 (pow.f64 x 5))))
(pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 1)
(pow.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) 3)
(pow.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) 2)
(pow.f64 (/.f64 (-.f64 (fma.f64 9/1600 (pow.f64 x 10) (.f64 x x)) (.f64 3/40 (pow.f64 x 6))) (fma.f64 27/64000 (pow.f64 x 15) (pow.f64 x 3))) -1)
(pow.f64 (/.f64 (fma.f64 3/40 (pow.f64 x 5) (neg.f64 x)) (-.f64 (.f64 9/1600 (pow.f64 x 10)) (.f64 x x))) -1)
(sqrt.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2))
(log.f64 (exp.f64 (fma.f64 3/40 (pow.f64 x 5) x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 3/40 (pow.f64 x 5) x))))
(log.f64 (.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (.f64 3/40 (pow.f64 x 5))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (pow.f64 (exp.f64 3/40) (pow.f64 x 5))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (.f64 3/40 (pow.f64 x 5))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 3/40) (pow.f64 x 5)) (+.f64 1 (expm1.f64 x))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 3/40 (pow.f64 x 5)))) (exp.f64 x)))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 3/40 (pow.f64 x 5)))) (+.f64 1 (expm1.f64 x))))
(cbrt.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3))
(expm1.f64 (log1p.f64 (fma.f64 3/40 (pow.f64 x 5) x)))
(exp.f64 (log.f64 (fma.f64 3/40 (pow.f64 x 5) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 3/40 (pow.f64 x 5) x)) 1))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 3/40 (pow.f64 x 5) x)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) x))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 3/40 (pow.f64 x 5) x))) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 3/40 (pow.f64 x 5) x)) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 3/40 (pow.f64 x 5) x))) 2))
(log1p.f64 (expm1.f64 (fma.f64 3/40 (pow.f64 x 5) x)))
(fma.f64 x 1 (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 3/40 (pow.f64 x 5) x)
(fma.f64 (pow.f64 x 5) 3/40 x)
(fma.f64 (*.f64 3/40 (pow.f64 x 5)) 1 x)
(fma.f64 1 x (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 1 (*.f64 3/40 (pow.f64 x 5)) x)
(fma.f64 (cbrt.f64 (.f64 3/40 (pow.f64 x 5))) (cbrt.f64 (.f64 9/1600 (pow.f64 x 10))) x)
(fma.f64 (cbrt.f64 (.f64 9/1600 (pow.f64 x 10))) (cbrt.f64 (.f64 3/40 (pow.f64 x 5))) x)
(fma.f64 (cbrt.f64 (pow.f64 x 10)) (*.f64 (cbrt.f64 (pow.f64 x 5)) 3/40) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 (.f64 (sqrt.f64 3/40) (pow.f64 x 5/2)) (.f64 (sqrt.f64 3/40) (pow.f64 x 5/2)) x)
(fma.f64 (pow.f64 x 5/2) (*.f64 (pow.f64 x 5/2) 3/40) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 (*.f64 3/40 (cbrt.f64 (pow.f64 x 10))) (cbrt.f64 (pow.f64 x 5)) x)
(fma.f64 (*.f64 3/40 (pow.f64 x 5/2)) (pow.f64 x 5/2) x)

Outputs
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(*.f64 3/40 (pow.f64 x 5))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 3/40 (pow.f64 x 5)))
(fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))
(*.f64 3/40 (pow.f64 x 5))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 3/40 (pow.f64 x 5)))
(fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))
x
(*.f64 3/40 (pow.f64 x 5))
(*.f64 3/40 (pow.f64 x 5))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)))) 1)
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(-.f64 (/.f64 (.f64 (pow.f64 x 6) 1/36) (-.f64 (.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) x))) (/.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) x))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)) (-.f64 (.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) x)))
(/.f64 (fma.f64 (pow.f64 x 6) -1/36 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)) (fma.f64 (pow.f64 x 3) 1/6 (fma.f64 3/40 (pow.f64 x 5) x)))
(*.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)) 1)
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(*.f64 1 (fma.f64 -1/6 (pow.f64 x 3) (fma.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 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))) 2))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))) 2) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.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 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))) (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.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 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)) (/.f64 1 (fma.f64 (fma.f64 3/40 (pow.f64 x 5) x) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (.f64 -1/6 (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 1/36))))
(/.f64 (.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)) 1) (fma.f64 (fma.f64 3/40 (pow.f64 x 5) x) (+.f64 (fma.f64 3/40 (pow.f64 x 5) x) (.f64 1/6 (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 1/36)))
(/.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)) (fma.f64 (fma.f64 3/40 (pow.f64 x 5) x) (+.f64 (fma.f64 3/40 (pow.f64 x 5) x) (.f64 (pow.f64 x 3) 1/6)) (.f64 (pow.f64 x 6) 1/36)))
(/.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)) (fma.f64 (fma.f64 3/40 (pow.f64 x 5) x) (fma.f64 (pow.f64 x 3) 1/6 (fma.f64 3/40 (pow.f64 x 5) x)) (*.f64 (pow.f64 x 6) 1/36)))
(.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)) (/.f64 1 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) x))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)) (-.f64 (.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) x)))
(/.f64 (fma.f64 (pow.f64 x 6) -1/36 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)) (fma.f64 (pow.f64 x 3) 1/6 (fma.f64 3/40 (pow.f64 x 5) x)))
(/.f64 1 (/.f64 (fma.f64 (fma.f64 3/40 (pow.f64 x 5) x) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (.f64 -1/6 (pow.f64 x 3))) (.f64 (pow.f64 x 6) 1/36)) (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3))))
(/.f64 (.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)) 1) (fma.f64 (fma.f64 3/40 (pow.f64 x 5) x) (+.f64 (fma.f64 3/40 (pow.f64 x 5) x) (.f64 1/6 (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 1/36)))
(/.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)) (fma.f64 (fma.f64 3/40 (pow.f64 x 5) x) (+.f64 (fma.f64 3/40 (pow.f64 x 5) x) (.f64 (pow.f64 x 3) 1/6)) (.f64 (pow.f64 x 6) 1/36)))
(/.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)) (fma.f64 (fma.f64 3/40 (pow.f64 x 5) x) (fma.f64 (pow.f64 x 3) 1/6 (fma.f64 3/40 (pow.f64 x 5) x)) (*.f64 (pow.f64 x 6) 1/36)))
(/.f64 1 (/.f64 (-.f64 (.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) x)) (-.f64 (.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)) (-.f64 (.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) x)))
(/.f64 (fma.f64 (pow.f64 x 6) -1/36 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)) (fma.f64 (pow.f64 x 3) 1/6 (fma.f64 3/40 (pow.f64 x 5) x)))
(/.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)) (fma.f64 (fma.f64 3/40 (pow.f64 x 5) x) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (.f64 -1/6 (pow.f64 x 3))) (.f64 (pow.f64 x 6) 1/36)))
(/.f64 (.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)) 1) (fma.f64 (fma.f64 3/40 (pow.f64 x 5) x) (+.f64 (fma.f64 3/40 (pow.f64 x 5) x) (.f64 1/6 (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 1/36)))
(/.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)) (fma.f64 (fma.f64 3/40 (pow.f64 x 5) x) (+.f64 (fma.f64 3/40 (pow.f64 x 5) x) (.f64 (pow.f64 x 3) 1/6)) (.f64 (pow.f64 x 6) 1/36)))
(/.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)) (fma.f64 (fma.f64 3/40 (pow.f64 x 5) x) (fma.f64 (pow.f64 x 3) 1/6 (fma.f64 3/40 (pow.f64 x 5) x)) (*.f64 (pow.f64 x 6) 1/36)))
(/.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)) (+.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2) (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 (*.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) x)))))
(/.f64 (.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)) 1) (fma.f64 (fma.f64 3/40 (pow.f64 x 5) x) (+.f64 (fma.f64 3/40 (pow.f64 x 5) x) (.f64 1/6 (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 1/36)))
(/.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)) (fma.f64 (fma.f64 3/40 (pow.f64 x 5) x) (+.f64 (fma.f64 3/40 (pow.f64 x 5) x) (.f64 (pow.f64 x 3) 1/6)) (.f64 (pow.f64 x 6) 1/36)))
(/.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)) (fma.f64 (fma.f64 3/40 (pow.f64 x 5) x) (fma.f64 (pow.f64 x 3) 1/6 (fma.f64 3/40 (pow.f64 x 5) x)) (*.f64 (pow.f64 x 6) 1/36)))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)) (-.f64 (.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) x)))
(/.f64 (fma.f64 (pow.f64 x 6) -1/36 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)) (fma.f64 (pow.f64 x 3) 1/6 (fma.f64 3/40 (pow.f64 x 5) x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3))) (neg.f64 (fma.f64 (fma.f64 3/40 (pow.f64 x 5) x) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (.f64 -1/6 (pow.f64 x 3))) (.f64 (pow.f64 x 6) 1/36))))
(/.f64 (.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)) 1) (fma.f64 (fma.f64 3/40 (pow.f64 x 5) x) (+.f64 (fma.f64 3/40 (pow.f64 x 5) x) (.f64 1/6 (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 1/36)))
(/.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)) (fma.f64 (fma.f64 3/40 (pow.f64 x 5) x) (+.f64 (fma.f64 3/40 (pow.f64 x 5) x) (.f64 (pow.f64 x 3) 1/6)) (.f64 (pow.f64 x 6) 1/36)))
(/.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)) (fma.f64 (fma.f64 3/40 (pow.f64 x 5) x) (fma.f64 (pow.f64 x 3) 1/6 (fma.f64 3/40 (pow.f64 x 5) x)) (*.f64 (pow.f64 x 6) 1/36)))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2))) (neg.f64 (-.f64 (.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) x))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)) (-.f64 (.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) x)))
(/.f64 (fma.f64 (pow.f64 x 6) -1/36 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)) (fma.f64 (pow.f64 x 3) 1/6 (fma.f64 3/40 (pow.f64 x 5) x)))
(/.f64 (+.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) (.f64 -1/6 (pow.f64 x 3))) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) (.f64 -1/6 (pow.f64 x 3))) 2) (-.f64 (.f64 x x) (.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -1/6 (pow.f64 x 3))) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (.f64 3/40 (pow.f64 x 5))) 3)) (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (.f64 3/40 (pow.f64 x 5))) 2) (.f64 x (-.f64 x (fma.f64 -1/6 (pow.f64 x 3) (.f64 3/40 (pow.f64 x 5)))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (.f64 3/40 (pow.f64 x 5))) 3)) (fma.f64 x (-.f64 x (fma.f64 -1/6 (pow.f64 x 3) (.f64 3/40 (pow.f64 x 5)))) (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) 2)))
(/.f64 (-.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2) (.f64 (pow.f64 x 6) 1/36)) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (.f64 -1/6 (pow.f64 x 3))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)) (-.f64 (.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) x)))
(/.f64 (fma.f64 (pow.f64 x 6) -1/36 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)) (fma.f64 (pow.f64 x 3) 1/6 (fma.f64 3/40 (pow.f64 x 5) x)))
(/.f64 (-.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) (.f64 -1/6 (pow.f64 x 3))) 2) (.f64 x x)) (-.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -1/6 (pow.f64 x 3))) x))
(/.f64 (-.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (.f64 3/40 (pow.f64 x 5))) 2) (.f64 x x)) (-.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) x))
(pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)) 1)
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))) 3)
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
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(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 3/40) (pow.f64 x 5))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 3/40) (pow.f64 x 5)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 3/40) (pow.f64 x 5)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3/40) (pow.f64 x 5)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3/40) (pow.f64 x 5)))))
(*.f64 3/40 (pow.f64 x 5))
(-.f64 (exp.f64 (log1p.f64 (*.f64 3/40 (pow.f64 x 5)))) 1)
(*.f64 3/40 (pow.f64 x 5))
(pow.f64 (*.f64 3/40 (pow.f64 x 5)) 1)
(*.f64 3/40 (pow.f64 x 5))
(pow.f64 (cbrt.f64 (*.f64 3/40 (pow.f64 x 5))) 3)
(*.f64 3/40 (pow.f64 x 5))
(pow.f64 (*.f64 27/64000 (pow.f64 x 15)) 1/3)
(cbrt.f64 (*.f64 27/64000 (pow.f64 x 15)))
(pow.f64 (*.f64 (sqrt.f64 3/40) (pow.f64 x 5/2)) 2)
(*.f64 3/40 (pow.f64 x 5))
(sqrt.f64 (*.f64 9/1600 (pow.f64 x 10)))
(log.f64 (pow.f64 (exp.f64 3/40) (pow.f64 x 5)))
(*.f64 3/40 (pow.f64 x 5))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 3/40 (pow.f64 x 5)))))
(*.f64 3/40 (pow.f64 x 5))
(cbrt.f64 (*.f64 27/64000 (pow.f64 x 15)))
(expm1.f64 (log1p.f64 (*.f64 3/40 (pow.f64 x 5))))
(*.f64 3/40 (pow.f64 x 5))
(exp.f64 (fma.f64 5 (log.f64 x) (log.f64 3/40)))
(*.f64 3/40 (pow.f64 x 5))
(exp.f64 (*.f64 (fma.f64 5 (log.f64 x) (log.f64 3/40)) 1))
(*.f64 3/40 (pow.f64 x 5))
(exp.f64 (.f64 (.f64 (fma.f64 5 (log.f64 x) (log.f64 3/40)) 1) 1))
(*.f64 3/40 (pow.f64 x 5))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 3/40 (pow.f64 x 5)))) 3))
(*.f64 3/40 (pow.f64 x 5))
(exp.f64 (.f64 (log.f64 (.f64 27/64000 (pow.f64 x 15))) 1/3))
(cbrt.f64 (*.f64 27/64000 (pow.f64 x 15)))
(exp.f64 (.f64 (.f64 (fma.f64 5 (log.f64 x) (log.f64 3/40)) 3) 1/3))
(*.f64 3/40 (pow.f64 x 5))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 3/40) (pow.f64 x 5/2))) 2))
(*.f64 3/40 (pow.f64 x 5))
(log1p.f64 (expm1.f64 (*.f64 3/40 (pow.f64 x 5))))
(*.f64 3/40 (pow.f64 x 5))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 3/40 (pow.f64 x 5) x))) 1)
(fma.f64 3/40 (pow.f64 x 5) x)
(-.f64 (/.f64 (.f64 9/1600 (pow.f64 x 10)) (fma.f64 3/40 (pow.f64 x 5) (neg.f64 x))) (/.f64 (.f64 x x) (fma.f64 3/40 (pow.f64 x 5) (neg.f64 x))))
(/.f64 (-.f64 (.f64 9/1600 (pow.f64 x 10)) (.f64 x x)) (fma.f64 3/40 (pow.f64 x 5) (neg.f64 x)))
(/.f64 (-.f64 (.f64 9/1600 (pow.f64 x 10)) (.f64 x x)) (-.f64 (*.f64 3/40 (pow.f64 x 5)) x))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x 10) -9/1600)) (fma.f64 (pow.f64 x 5) -3/40 x))
(*.f64 (fma.f64 3/40 (pow.f64 x 5) x) 1)
(fma.f64 3/40 (pow.f64 x 5) x)
(*.f64 1 (fma.f64 3/40 (pow.f64 x 5) x))
(fma.f64 3/40 (pow.f64 x 5) x)
(*.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) (pow.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) 2))
(fma.f64 3/40 (pow.f64 x 5) x)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) 2) (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)))
(fma.f64 3/40 (pow.f64 x 5) x)
(*.f64 (sqrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) (sqrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)))
(fma.f64 3/40 (pow.f64 x 5) x)
(.f64 (fma.f64 27/64000 (pow.f64 x 15) (pow.f64 x 3)) (/.f64 1 (-.f64 (fma.f64 9/1600 (pow.f64 x 10) (.f64 x x)) (*.f64 3/40 (pow.f64 x 6)))))
(/.f64 (.f64 (fma.f64 27/64000 (pow.f64 x 15) (pow.f64 x 3)) 1) (+.f64 (fma.f64 9/1600 (pow.f64 x 10) (.f64 x x)) (*.f64 -3/40 (pow.f64 x 6))))
(/.f64 (fma.f64 27/64000 (pow.f64 x 15) (pow.f64 x 3)) (fma.f64 x x (fma.f64 9/1600 (pow.f64 x 10) (*.f64 (pow.f64 x 6) -3/40))))
(.f64 (-.f64 (.f64 9/1600 (pow.f64 x 10)) (*.f64 x x)) (/.f64 1 (fma.f64 3/40 (pow.f64 x 5) (neg.f64 x))))
(/.f64 (-.f64 (.f64 9/1600 (pow.f64 x 10)) (.f64 x x)) (fma.f64 3/40 (pow.f64 x 5) (neg.f64 x)))
(/.f64 (-.f64 (.f64 9/1600 (pow.f64 x 10)) (.f64 x x)) (-.f64 (*.f64 3/40 (pow.f64 x 5)) x))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x 10) -9/1600)) (fma.f64 (pow.f64 x 5) -3/40 x))
(/.f64 1 (/.f64 (-.f64 (fma.f64 9/1600 (pow.f64 x 10) (.f64 x x)) (.f64 3/40 (pow.f64 x 6))) (fma.f64 27/64000 (pow.f64 x 15) (pow.f64 x 3))))
(/.f64 (.f64 (fma.f64 27/64000 (pow.f64 x 15) (pow.f64 x 3)) 1) (+.f64 (fma.f64 9/1600 (pow.f64 x 10) (.f64 x x)) (*.f64 -3/40 (pow.f64 x 6))))
(/.f64 (fma.f64 27/64000 (pow.f64 x 15) (pow.f64 x 3)) (fma.f64 x x (fma.f64 9/1600 (pow.f64 x 10) (*.f64 (pow.f64 x 6) -3/40))))
(/.f64 1 (/.f64 (fma.f64 3/40 (pow.f64 x 5) (neg.f64 x)) (-.f64 (.f64 9/1600 (pow.f64 x 10)) (.f64 x x))))
(/.f64 (-.f64 (.f64 9/1600 (pow.f64 x 10)) (.f64 x x)) (fma.f64 3/40 (pow.f64 x 5) (neg.f64 x)))
(/.f64 (-.f64 (.f64 9/1600 (pow.f64 x 10)) (.f64 x x)) (-.f64 (*.f64 3/40 (pow.f64 x 5)) x))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x 10) -9/1600)) (fma.f64 (pow.f64 x 5) -3/40 x))
(/.f64 (fma.f64 27/64000 (pow.f64 x 15) (pow.f64 x 3)) (-.f64 (fma.f64 9/1600 (pow.f64 x 10) (.f64 x x)) (.f64 3/40 (pow.f64 x 6))))
(/.f64 (.f64 (fma.f64 27/64000 (pow.f64 x 15) (pow.f64 x 3)) 1) (+.f64 (fma.f64 9/1600 (pow.f64 x 10) (.f64 x x)) (*.f64 -3/40 (pow.f64 x 6))))
(/.f64 (fma.f64 27/64000 (pow.f64 x 15) (pow.f64 x 3)) (fma.f64 x x (fma.f64 9/1600 (pow.f64 x 10) (*.f64 (pow.f64 x 6) -3/40))))
(/.f64 (fma.f64 27/64000 (pow.f64 x 15) (pow.f64 x 3)) (fma.f64 x x (-.f64 (.f64 9/1600 (pow.f64 x 10)) (.f64 3/40 (pow.f64 x 6)))))
(/.f64 (.f64 (fma.f64 27/64000 (pow.f64 x 15) (pow.f64 x 3)) 1) (+.f64 (fma.f64 9/1600 (pow.f64 x 10) (.f64 x x)) (*.f64 -3/40 (pow.f64 x 6))))
(/.f64 (fma.f64 27/64000 (pow.f64 x 15) (pow.f64 x 3)) (fma.f64 x x (fma.f64 9/1600 (pow.f64 x 10) (*.f64 (pow.f64 x 6) -3/40))))
(/.f64 (-.f64 (.f64 9/1600 (pow.f64 x 10)) (.f64 x x)) (fma.f64 3/40 (pow.f64 x 5) (neg.f64 x)))
(/.f64 (-.f64 (.f64 9/1600 (pow.f64 x 10)) (.f64 x x)) (-.f64 (*.f64 3/40 (pow.f64 x 5)) x))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x 10) -9/1600)) (fma.f64 (pow.f64 x 5) -3/40 x))
(/.f64 (neg.f64 (fma.f64 27/64000 (pow.f64 x 15) (pow.f64 x 3))) (neg.f64 (-.f64 (fma.f64 9/1600 (pow.f64 x 10) (.f64 x x)) (.f64 3/40 (pow.f64 x 6)))))
(/.f64 (.f64 (fma.f64 27/64000 (pow.f64 x 15) (pow.f64 x 3)) 1) (+.f64 (fma.f64 9/1600 (pow.f64 x 10) (.f64 x x)) (*.f64 -3/40 (pow.f64 x 6))))
(/.f64 (fma.f64 27/64000 (pow.f64 x 15) (pow.f64 x 3)) (fma.f64 x x (fma.f64 9/1600 (pow.f64 x 10) (*.f64 (pow.f64 x 6) -3/40))))
(/.f64 (neg.f64 (-.f64 (.f64 9/1600 (pow.f64 x 10)) (.f64 x x))) (neg.f64 (fma.f64 3/40 (pow.f64 x 5) (neg.f64 x))))
(/.f64 (-.f64 (.f64 9/1600 (pow.f64 x 10)) (.f64 x x)) (fma.f64 3/40 (pow.f64 x 5) (neg.f64 x)))
(/.f64 (-.f64 (.f64 9/1600 (pow.f64 x 10)) (.f64 x x)) (-.f64 (*.f64 3/40 (pow.f64 x 5)) x))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x 10) -9/1600)) (fma.f64 (pow.f64 x 5) -3/40 x))
(/.f64 (-.f64 (.f64 x x) (.f64 9/1600 (pow.f64 x 10))) (-.f64 x (*.f64 3/40 (pow.f64 x 5))))
(/.f64 (-.f64 (.f64 9/1600 (pow.f64 x 10)) (.f64 x x)) (fma.f64 3/40 (pow.f64 x 5) (neg.f64 x)))
(/.f64 (-.f64 (.f64 9/1600 (pow.f64 x 10)) (.f64 x x)) (-.f64 (*.f64 3/40 (pow.f64 x 5)) x))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x 10) -9/1600)) (fma.f64 (pow.f64 x 5) -3/40 x))
(pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 1)
(fma.f64 3/40 (pow.f64 x 5) x)
(pow.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) 3)
(fma.f64 3/40 (pow.f64 x 5) x)
(pow.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3) 1/3)
(fma.f64 3/40 (pow.f64 x 5) x)
(pow.f64 (sqrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) 2)
(fma.f64 3/40 (pow.f64 x 5) x)
(pow.f64 (/.f64 (-.f64 (fma.f64 9/1600 (pow.f64 x 10) (.f64 x x)) (.f64 3/40 (pow.f64 x 6))) (fma.f64 27/64000 (pow.f64 x 15) (pow.f64 x 3))) -1)
(/.f64 (.f64 (fma.f64 27/64000 (pow.f64 x 15) (pow.f64 x 3)) 1) (+.f64 (fma.f64 9/1600 (pow.f64 x 10) (.f64 x x)) (*.f64 -3/40 (pow.f64 x 6))))
(/.f64 (fma.f64 27/64000 (pow.f64 x 15) (pow.f64 x 3)) (fma.f64 x x (fma.f64 9/1600 (pow.f64 x 10) (*.f64 (pow.f64 x 6) -3/40))))
(pow.f64 (/.f64 (fma.f64 3/40 (pow.f64 x 5) (neg.f64 x)) (-.f64 (.f64 9/1600 (pow.f64 x 10)) (.f64 x x))) -1)
(/.f64 (-.f64 (.f64 9/1600 (pow.f64 x 10)) (.f64 x x)) (fma.f64 3/40 (pow.f64 x 5) (neg.f64 x)))
(/.f64 (-.f64 (.f64 9/1600 (pow.f64 x 10)) (.f64 x x)) (-.f64 (*.f64 3/40 (pow.f64 x 5)) x))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x 10) -9/1600)) (fma.f64 (pow.f64 x 5) -3/40 x))
(sqrt.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2))
(fma.f64 3/40 (pow.f64 x 5) x)
(log.f64 (exp.f64 (fma.f64 3/40 (pow.f64 x 5) x)))
(fma.f64 3/40 (pow.f64 x 5) x)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 3/40 (pow.f64 x 5) x))))
(fma.f64 3/40 (pow.f64 x 5) x)
(log.f64 (.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (.f64 3/40 (pow.f64 x 5))))))
(fma.f64 3/40 (pow.f64 x 5) x)
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (pow.f64 (exp.f64 3/40) (pow.f64 x 5))))
(fma.f64 3/40 (pow.f64 x 5) x)
(log.f64 (.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (.f64 3/40 (pow.f64 x 5))))))
(fma.f64 3/40 (pow.f64 x 5) x)
(log.f64 (*.f64 (pow.f64 (exp.f64 3/40) (pow.f64 x 5)) (+.f64 1 (expm1.f64 x))))
(fma.f64 3/40 (pow.f64 x 5) x)
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 3/40 (pow.f64 x 5)))) (exp.f64 x)))
(fma.f64 3/40 (pow.f64 x 5) x)
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 3/40 (pow.f64 x 5)))) (+.f64 1 (expm1.f64 x))))
(fma.f64 3/40 (pow.f64 x 5) x)
(cbrt.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3))
(fma.f64 3/40 (pow.f64 x 5) x)
(expm1.f64 (log1p.f64 (fma.f64 3/40 (pow.f64 x 5) x)))
(fma.f64 3/40 (pow.f64 x 5) x)
(exp.f64 (log.f64 (fma.f64 3/40 (pow.f64 x 5) x)))
(fma.f64 3/40 (pow.f64 x 5) x)
(exp.f64 (*.f64 (log.f64 (fma.f64 3/40 (pow.f64 x 5) x)) 1))
(fma.f64 3/40 (pow.f64 x 5) x)
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 3/40 (pow.f64 x 5) x)) 1) 1))
(fma.f64 3/40 (pow.f64 x 5) x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) x))) 3))
(fma.f64 3/40 (pow.f64 x 5) x)
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 3/40 (pow.f64 x 5) x))) 1/3))
(fma.f64 3/40 (pow.f64 x 5) x)
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 3/40 (pow.f64 x 5) x)) 3) 1/3))
(fma.f64 3/40 (pow.f64 x 5) x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 3/40 (pow.f64 x 5) x))) 2))
(fma.f64 3/40 (pow.f64 x 5) x)
(log1p.f64 (expm1.f64 (fma.f64 3/40 (pow.f64 x 5) x)))
(fma.f64 3/40 (pow.f64 x 5) x)
(fma.f64 x 1 (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 3/40 (pow.f64 x 5) x)
(fma.f64 3/40 (pow.f64 x 5) x)
(fma.f64 (pow.f64 x 5) 3/40 x)
(fma.f64 3/40 (pow.f64 x 5) x)
(fma.f64 (*.f64 3/40 (pow.f64 x 5)) 1 x)
(fma.f64 3/40 (pow.f64 x 5) x)
(fma.f64 1 x (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 3/40 (pow.f64 x 5) x)
(fma.f64 1 (*.f64 3/40 (pow.f64 x 5)) x)
(fma.f64 3/40 (pow.f64 x 5) x)
(fma.f64 (cbrt.f64 (.f64 3/40 (pow.f64 x 5))) (cbrt.f64 (.f64 9/1600 (pow.f64 x 10))) x)
(fma.f64 (cbrt.f64 (.f64 9/1600 (pow.f64 x 10))) (cbrt.f64 (.f64 3/40 (pow.f64 x 5))) x)
(fma.f64 (cbrt.f64 (.f64 3/40 (pow.f64 x 5))) (cbrt.f64 (.f64 9/1600 (pow.f64 x 10))) x)
(fma.f64 (cbrt.f64 (pow.f64 x 10)) (*.f64 (cbrt.f64 (pow.f64 x 5)) 3/40) x)
(fma.f64 (cbrt.f64 (pow.f64 x 10)) (*.f64 3/40 (cbrt.f64 (pow.f64 x 5))) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 3/40 (pow.f64 x 5) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 3/40 (pow.f64 x 5) x)
(fma.f64 (.f64 (sqrt.f64 3/40) (pow.f64 x 5/2)) (.f64 (sqrt.f64 3/40) (pow.f64 x 5/2)) x)
(fma.f64 3/40 (pow.f64 x 5) x)
(fma.f64 (pow.f64 x 5/2) (*.f64 (pow.f64 x 5/2) 3/40) x)
(fma.f64 3/40 (pow.f64 x 5) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 3/40 (pow.f64 x 5) x)
(fma.f64 (*.f64 3/40 (cbrt.f64 (pow.f64 x 10))) (cbrt.f64 (pow.f64 x 5)) x)
(fma.f64 (cbrt.f64 (pow.f64 x 10)) (*.f64 3/40 (cbrt.f64 (pow.f64 x 5))) x)
(fma.f64 (*.f64 3/40 (pow.f64 x 5/2)) (pow.f64 x 5/2) x)
(fma.f64 3/40 (pow.f64 x 5) x)

eval371.0ms (5.3%)

Compiler: Compiled 14457 to 10824 computations (25.1% saved)

prune207.0ms (3%)

Pruning

15 alts after pruning (5 fresh and 10 done)

	Pruned	Kept	Total
New	765	2	767
Fresh	0	3	3
Picked	0	1	1
Done	1	9	10
Total	766	15	781

Accurracy

100.0%

Counts

781 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	5.9%	(copysign.f64 (fma.f64 (.f64 x x) (.f64 x -1/6) (-.f64 1 (-.f64 1 x))) x)
✓	55.6%	(copysign.f64 (+.f64 (-.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) 1) x) x)
	55.7%	(copysign.f64 (+.f64 (.f64 (.f64 x x) (*.f64 x -1/6)) x) x)
✓	55.5%	(copysign.f64 (+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x)) x)
	25.3%	(copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x)
✓	2.7%	(copysign.f64 (log1p.f64 (-.f64 (/.f64 -1/2 x) 1)) x)
✓	61.7%	(copysign.f64 (log1p.f64 x) x)
	20.5%	(copysign.f64 (log.f64 (/.f64 1 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) x)
✓	20.1%	(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
✓	31.9%	(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
	14.2%	(copysign.f64 (log.f64 (+.f64 x (/.f64 (-.f64 (/.f64 1/4 (.f64 x x)) (.f64 x x)) (-.f64 (/.f64 1/2 x) x)))) x)
✓	26.9%	(copysign.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) x)
✓	26.5%	(copysign.f64 (log.f64 (+.f64 x x)) x)
✓	7.6%	(copysign.f64 (log.f64 (neg.f64 x)) x)
✓	57.1%	(copysign.f64 x x)

Compiler

Compiled 159 to 107 computations (32.7% saved)

regimes81.0ms (1.2%)

Counts

26 → 3

Calls

Call 1

Inputs
(copysign.f64 x x)
(copysign.f64 (+.f64 (.f64 (.f64 x x) (*.f64 x -1/6)) x) x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 1 x)) x)
(copysign.f64 (log.f64 (+.f64 x x)) x)
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
(copysign.f64 (log1p.f64 (-.f64 (/.f64 -1/2 x) 1)) x)
(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x)
(copysign.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) x)
(copysign.f64 (log.f64 (/.f64 1 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) x)
(copysign.f64 (+.f64 (-.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) 1) x) x)
(copysign.f64 (fma.f64 (.f64 x x) (.f64 x -1/6) (-.f64 1 (-.f64 1 x))) x)
(copysign.f64 (log.f64 (+.f64 x (/.f64 (-.f64 (/.f64 1/4 (.f64 x x)) (.f64 x x)) (-.f64 (/.f64 1/2 x) x)))) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 1 (fabs.f64 x))) x)
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
(copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x)
(copysign.f64 (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) x)
(copysign.f64 (log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1)) x)
(copysign.f64 (fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 1 x)) (log1p.f64 x)) x)
(copysign.f64 (+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x)) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)
(copysign.f64 (fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 1 (fabs.f64 x))) (log1p.f64 (fabs.f64 x))) x)
(copysign.f64 (fma.f64 (pow.f64 x 4) (+.f64 (/.f64 -1/8 (+.f64 1 x)) (/.f64 -1/8 (pow.f64 (+.f64 1 x) 2))) (fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 1 x)) (fma.f64 (pow.f64 x 6) (fma.f64 1/720 (+.f64 (/.f64 45 (+.f64 1 x)) (/.f64 30 (pow.f64 (+.f64 1 x) 3))) (/.f64 1/16 (pow.f64 (+.f64 1 x) 2))) (log1p.f64 x)))) x)

Outputs

(copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x)

(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 3/40 (pow.f64 x 5)) x)) x)

(copysign.f64 (log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1)) x)

Calls

2 calls:

59.0ms	x
13.0ms	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)

Results

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

Compiler

Compiled 312 to 197 computations (36.9% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.4039437934949365e-12	0.4615483881463816
0.0ms	-3.8751169019765253	-0.00320019119144632

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes34.0ms (0.5%)

Counts

21 → 3

Calls

Call 1

Inputs
(copysign.f64 x x)
(copysign.f64 (+.f64 (.f64 (.f64 x x) (*.f64 x -1/6)) x) x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 1 x)) x)
(copysign.f64 (log.f64 (+.f64 x x)) x)
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
(copysign.f64 (log1p.f64 (-.f64 (/.f64 -1/2 x) 1)) x)
(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x)
(copysign.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) x)
(copysign.f64 (log.f64 (/.f64 1 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) x)
(copysign.f64 (+.f64 (-.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) 1) x) x)
(copysign.f64 (fma.f64 (.f64 x x) (.f64 x -1/6) (-.f64 1 (-.f64 1 x))) x)
(copysign.f64 (log.f64 (+.f64 x (/.f64 (-.f64 (/.f64 1/4 (.f64 x x)) (.f64 x x)) (-.f64 (/.f64 1/2 x) x)))) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 1 (fabs.f64 x))) x)
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
(copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x)
(copysign.f64 (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) x)
(copysign.f64 (log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1)) x)
(copysign.f64 (fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 1 x)) (log1p.f64 x)) x)

Outputs
(copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x)
(copysign.f64 (+.f64 (.f64 (.f64 x x) (*.f64 x -1/6)) x) x)
(copysign.f64 (log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1)) x)

Calls

1 calls:

26.0ms

Results

Accuracy	Segments	Branch
100.0%	3	`x`

Compiler

Compiled 192 to 118 computations (38.5% saved)

bsearch37.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	3.403857966229175e-12	0.4781108582568616
18.0ms	-0.0032001966537613343	-2.8195020846706123e-6

Results

32.0ms

288×

body

256

valid

Compiler

Compiled 459 to 310 computations (32.5% saved)

regimes63.0ms (0.9%)

Counts

19 → 3

Calls

Call 1

Inputs
(copysign.f64 x x)
(copysign.f64 (+.f64 (.f64 (.f64 x x) (*.f64 x -1/6)) x) x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 1 x)) x)
(copysign.f64 (log.f64 (+.f64 x x)) x)
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
(copysign.f64 (log1p.f64 (-.f64 (/.f64 -1/2 x) 1)) x)
(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x)
(copysign.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) x)
(copysign.f64 (log.f64 (/.f64 1 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) x)
(copysign.f64 (+.f64 (-.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) 1) x) x)
(copysign.f64 (fma.f64 (.f64 x x) (.f64 x -1/6) (-.f64 1 (-.f64 1 x))) x)
(copysign.f64 (log.f64 (+.f64 x (/.f64 (-.f64 (/.f64 1/4 (.f64 x x)) (.f64 x x)) (-.f64 (/.f64 1/2 x) x)))) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 1 (fabs.f64 x))) x)
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
(copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x)
(copysign.f64 (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) x)

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

Calls

1 calls:

58.0ms

Results

Accuracy	Segments	Branch
99.9%	3	`x`

Compiler

Compiled 169 to 105 computations (37.9% saved)

bsearch74.0ms (1.1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
58.0ms	3.403857966229175e-12	0.4781108582568616
16.0ms	-0.0032001966537613343	-2.8195020846706123e-6

Results

70.0ms

288×

body

256

valid

Compiler

Compiled 439 to 290 computations (33.9% saved)

regimes27.0ms (0.4%)

Counts

17 → 3

Calls

Call 1

Inputs
(copysign.f64 x x)
(copysign.f64 (+.f64 (.f64 (.f64 x x) (*.f64 x -1/6)) x) x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 1 x)) x)
(copysign.f64 (log.f64 (+.f64 x x)) x)
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
(copysign.f64 (log1p.f64 (-.f64 (/.f64 -1/2 x) 1)) x)
(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x)
(copysign.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) x)
(copysign.f64 (log.f64 (/.f64 1 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) x)
(copysign.f64 (+.f64 (-.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) 1) x) x)
(copysign.f64 (fma.f64 (.f64 x x) (.f64 x -1/6) (-.f64 1 (-.f64 1 x))) x)
(copysign.f64 (log.f64 (+.f64 x (/.f64 (-.f64 (/.f64 1/4 (.f64 x x)) (.f64 x x)) (-.f64 (/.f64 1/2 x) x)))) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 1 (fabs.f64 x))) x)
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)

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

Calls

1 calls:

23.0ms

Results

Accuracy	Segments	Branch
99.7%	3	`x`

Compiler

Compiled 150 to 92 computations (38.7% saved)

bsearch39.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	3.403857966229175e-12	0.4781108582568616
19.0ms	-24.083789680608962	-0.0032001966537613343

Results

35.0ms

288×

body

256

valid

Compiler

Compiled 463 to 314 computations (32.2% saved)

regimes32.0ms (0.5%)

Counts

16 → 3

Calls

Call 1

Inputs
(copysign.f64 x x)
(copysign.f64 (+.f64 (.f64 (.f64 x x) (*.f64 x -1/6)) x) x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 1 x)) x)
(copysign.f64 (log.f64 (+.f64 x x)) x)
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
(copysign.f64 (log1p.f64 (-.f64 (/.f64 -1/2 x) 1)) x)
(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x)
(copysign.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) x)
(copysign.f64 (log.f64 (/.f64 1 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) x)
(copysign.f64 (+.f64 (-.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) 1) x) x)
(copysign.f64 (fma.f64 (.f64 x x) (.f64 x -1/6) (-.f64 1 (-.f64 1 x))) x)
(copysign.f64 (log.f64 (+.f64 x (/.f64 (-.f64 (/.f64 1/4 (.f64 x x)) (.f64 x x)) (-.f64 (/.f64 1/2 x) x)))) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 1 (fabs.f64 x))) x)

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

Calls

1 calls:

23.0ms

Results

Accuracy	Segments	Branch
99.1%	3	`x`

Compiler

Compiled 142 to 87 computations (38.7% saved)

bsearch31.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	0.4781108582568616	15.364136149655328
17.0ms	-24.083789680608962	-0.0032001966537613343

Results

27.0ms

240×

body

256

valid

Compiler

Compiled 408 to 276 computations (32.4% saved)

regimes18.0ms (0.3%)

Counts

10 → 3

Calls

Call 1

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

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

Calls

1 calls:

16.0ms

Results

Accuracy	Segments	Branch
98.7%	3	`x`

Compiler

Compiled 71 to 43 computations (39.4% saved)

bsearch34.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	0.4781108582568616	15.364136149655328
20.0ms	-24.083789680608962	-0.0032001966537613343

Results

27.0ms

240×

body

256

valid

Compiler

Compiled 360 to 236 computations (34.4% saved)

regimes17.0ms (0.2%)

Counts

9 → 3

Calls

Call 1

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

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

Calls

1 calls:

15.0ms

Results

Accuracy	Segments	Branch
98.3%	3	`x`

Compiler

Compiled 61 to 37 computations (39.3% saved)

bsearch31.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	0.4781108582568616	15.364136149655328
16.0ms	-24.083789680608962	-0.0032001966537613343

Results

28.0ms

240×

body

256

valid

Compiler

Compiled 332 to 215 computations (35.2% saved)

regimes14.0ms (0.2%)

Counts

6 → 3

Calls

Call 1

Inputs
(copysign.f64 x x)
(copysign.f64 (+.f64 (.f64 (.f64 x x) (*.f64 x -1/6)) x) x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 1 x)) x)
(copysign.f64 (log.f64 (+.f64 x x)) x)

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

Calls

1 calls:

13.0ms

Results

Accuracy	Segments	Branch
85.8%	3	`x`

Compiler

Compiled 38 to 21 computations (44.7% saved)

bsearch32.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	0.4781108582568616	15.364136149655328
16.0ms	-24.083789680608962	-0.0032001966537613343

Results

29.0ms

240×

body

256

valid

Compiler

Compiled 324 to 207 computations (36.1% saved)

regimes10.0ms (0.1%)

Counts

5 → 2

Calls

Call 1

Inputs
(copysign.f64 x x)
(copysign.f64 (+.f64 (.f64 (.f64 x x) (*.f64 x -1/6)) x) x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 1 x)) x)

Outputs
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 (log1p.f64 x) x)

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
67.7%	2	`x`

Compiler

Compiled 32 to 18 computations (43.8% saved)

bsearch16.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	-24.083789680608962	-0.0032001966537613343

Results

15.0ms

128×

body

256

valid

Compiler

Compiled 121 to 84 computations (30.6% saved)

regimes9.0ms (0.1%)

Counts

3 → 2

Calls

Call 1

Inputs
(copysign.f64 x x)
(copysign.f64 (+.f64 (.f64 (.f64 x x) (*.f64 x -1/6)) x) x)
(copysign.f64 (log1p.f64 x) x)

Outputs
(copysign.f64 x x)
(copysign.f64 (log1p.f64 x) x)

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
63.6%	2	`x`

Compiler

Compiled 21 to 11 computations (47.6% saved)

bsearch13.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	0.4781108582568616	15.364136149655328

Results

12.0ms

112×

body

256

valid

Compiler

Compiled 94 to 61 computations (35.1% saved)

regimes5.0ms (0.1%)

Accuracy

Total -1.0b remaining (-3.8%)

Threshold costs -1b (-3.8%)

Counts

2 → 1

Calls

Call 1

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

Outputs
(copysign.f64 x x)

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
57.1%	1	`x`

Compiler

Compiled 17 to 9 computations (47.1% saved)

simplify24.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

32×	`+-commutative`
20×	`*-commutative`
16×	`sub-neg`
10×	`neg-mul-1`
10×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	102	941
1	126	941
2	139	941
3	150	941
4	153	941
5	154	941

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) 1)))) x) -2) (copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) 1)))) x) 6189700196426901/1237940039285380274899124224) (copysign.f64 (+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x)) x) (copysign.f64 (log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1)) x)))
(if (<=.f64 x -1152921504606847/1152921504606846976) (copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x) (if (<=.f64 x 1152921504606847/1152921504606846976) (copysign.f64 (+.f64 (.f64 (.f64 x x) (*.f64 x -1/6)) x) x) (copysign.f64 (log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1)) x)))
(if (<=.f64 x -1152921504606847/1152921504606846976) (copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x) (if (<=.f64 x 1152921504606847/1152921504606846976) (copysign.f64 (+.f64 (.f64 (.f64 x x) (*.f64 x -1/6)) x) x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)))
(if (<=.f64 x -4278419646001971/4503599627370496) (copysign.f64 (log.f64 (/.f64 1 (-.f64 (.f64 x -2) (/.f64 1/2 x)))) x) (if (<=.f64 x 1152921504606847/1152921504606846976) (copysign.f64 (+.f64 (.f64 (.f64 x x) (.f64 x -1/6)) x) x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)))
(if (<=.f64 x -4278419646001971/4503599627370496) (copysign.f64 (log.f64 (/.f64 1 (-.f64 (.f64 x -2) (/.f64 1/2 x)))) x) (if (<=.f64 x 4278419646001971/4503599627370496) (copysign.f64 (+.f64 (.f64 (.f64 x x) (.f64 x -1/6)) x) x) (copysign.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) x)))
(if (<=.f64 x -5/4) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 4278419646001971/4503599627370496) (copysign.f64 (+.f64 (.f64 (.f64 x x) (*.f64 x -1/6)) x) x) (copysign.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) x)))
(if (<=.f64 x -5/4) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 5/4) (copysign.f64 (+.f64 (.f64 (.f64 x x) (*.f64 x -1/6)) x) x) (copysign.f64 (log.f64 (+.f64 x x)) x)))
(if (<=.f64 x -8782019273372467/4503599627370496) (copysign.f64 (log.f64 (neg.f64 x)) x) (if (<=.f64 x 5/4) (copysign.f64 (+.f64 (.f64 (.f64 x x) (*.f64 x -1/6)) x) x) (copysign.f64 (log.f64 (+.f64 x x)) x)))
(if (<=.f64 x -1) (copysign.f64 (log.f64 (neg.f64 x)) x) (copysign.f64 (log1p.f64 x) x))
(if (<=.f64 x 3512807709348987/2251799813685248) (copysign.f64 x x) (copysign.f64 (log1p.f64 x) x))
(copysign.f64 x x)

Outputs
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) 1)))) x) -2) (copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) 1)))) x) 6189700196426901/1237940039285380274899124224) (copysign.f64 (+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x)) x) (copysign.f64 (log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1)) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) 1)))) x) -2) (copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) 1)))) x) 6189700196426901/1237940039285380274899124224) (copysign.f64 (+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 x (.f64 3/40 (pow.f64 x 5)))) x) (copysign.f64 (log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1)) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) 1)))) x) -2) (copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) 1)))) x) 6189700196426901/1237940039285380274899124224) (copysign.f64 (+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 x (.f64 3/40 (pow.f64 x 5)))) x) (copysign.f64 (log1p.f64 (+.f64 (+.f64 x (hypot.f64 1 x)) -1)) x)))
(if (<=.f64 x -1152921504606847/1152921504606846976) (copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x) (if (<=.f64 x 1152921504606847/1152921504606846976) (copysign.f64 (+.f64 (.f64 (.f64 x x) (*.f64 x -1/6)) x) x) (copysign.f64 (log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1)) x)))
(if (<=.f64 x -1152921504606847/1152921504606846976) (copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x) (if (<=.f64 x 1152921504606847/1152921504606846976) (copysign.f64 (+.f64 x (.f64 (.f64 x x) (*.f64 x -1/6))) x) (copysign.f64 (log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1)) x)))
(if (<=.f64 x -1152921504606847/1152921504606846976) (copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x) (if (<=.f64 x 1152921504606847/1152921504606846976) (copysign.f64 (+.f64 x (.f64 (.f64 x x) (*.f64 x -1/6))) x) (copysign.f64 (log1p.f64 (+.f64 (+.f64 x (hypot.f64 1 x)) -1)) x)))
(if (<=.f64 x -1152921504606847/1152921504606846976) (copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x) (if (<=.f64 x 1152921504606847/1152921504606846976) (copysign.f64 (+.f64 (.f64 (.f64 x x) (*.f64 x -1/6)) x) x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)))
(if (<=.f64 x -1152921504606847/1152921504606846976) (copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x) (if (<=.f64 x 1152921504606847/1152921504606846976) (copysign.f64 (+.f64 x (.f64 (.f64 x x) (*.f64 x -1/6))) x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)))
(if (<=.f64 x -4278419646001971/4503599627370496) (copysign.f64 (log.f64 (/.f64 1 (-.f64 (.f64 x -2) (/.f64 1/2 x)))) x) (if (<=.f64 x 1152921504606847/1152921504606846976) (copysign.f64 (+.f64 (.f64 (.f64 x x) (.f64 x -1/6)) x) x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)))
(if (<=.f64 x -4278419646001971/4503599627370496) (copysign.f64 (log.f64 (/.f64 1 (-.f64 (.f64 x -2) (/.f64 1/2 x)))) x) (if (<=.f64 x 1152921504606847/1152921504606846976) (copysign.f64 (+.f64 x (.f64 (.f64 x x) (.f64 x -1/6))) x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)))
(if (<=.f64 x -4278419646001971/4503599627370496) (copysign.f64 (log.f64 (/.f64 1 (-.f64 (.f64 x -2) (/.f64 1/2 x)))) x) (if (<=.f64 x 4278419646001971/4503599627370496) (copysign.f64 (+.f64 (.f64 (.f64 x x) (.f64 x -1/6)) x) x) (copysign.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) x)))
(if (<=.f64 x -4278419646001971/4503599627370496) (copysign.f64 (log.f64 (/.f64 1 (-.f64 (.f64 x -2) (/.f64 1/2 x)))) x) (if (<=.f64 x 4278419646001971/4503599627370496) (copysign.f64 (+.f64 x (.f64 (.f64 x x) (.f64 x -1/6))) x) (copysign.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) x)))
(if (<=.f64 x -5/4) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 4278419646001971/4503599627370496) (copysign.f64 (+.f64 (.f64 (.f64 x x) (*.f64 x -1/6)) x) x) (copysign.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) x)))
(if (<=.f64 x -5/4) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 4278419646001971/4503599627370496) (copysign.f64 (+.f64 x (.f64 (.f64 x x) (*.f64 x -1/6))) x) (copysign.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) x)))
(if (<=.f64 x -5/4) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 5/4) (copysign.f64 (+.f64 (.f64 (.f64 x x) (*.f64 x -1/6)) x) x) (copysign.f64 (log.f64 (+.f64 x x)) x)))
(if (<=.f64 x -5/4) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 5/4) (copysign.f64 (+.f64 x (.f64 (.f64 x x) (*.f64 x -1/6))) x) (copysign.f64 (log.f64 (+.f64 x x)) x)))
(if (<=.f64 x -8782019273372467/4503599627370496) (copysign.f64 (log.f64 (neg.f64 x)) x) (if (<=.f64 x 5/4) (copysign.f64 (+.f64 (.f64 (.f64 x x) (*.f64 x -1/6)) x) x) (copysign.f64 (log.f64 (+.f64 x x)) x)))
(if (<=.f64 x -8782019273372467/4503599627370496) (copysign.f64 (log.f64 (neg.f64 x)) x) (if (<=.f64 x 5/4) (copysign.f64 (+.f64 x (.f64 (.f64 x x) (*.f64 x -1/6))) x) (copysign.f64 (log.f64 (+.f64 x x)) x)))
(if (<=.f64 x -1) (copysign.f64 (log.f64 (neg.f64 x)) x) (copysign.f64 (log1p.f64 x) x))
(if (<=.f64 x 3512807709348987/2251799813685248) (copysign.f64 x x) (copysign.f64 (log1p.f64 x) x))
(copysign.f64 x x)

Compiler

Compiled 352 to 230 computations (34.7% saved)

soundness1.5s (22.3%)

Rules

1874×	`pow1`
1802×	`fma-def`
1802×	`fma-def`
1802×	`fma-def`
1802×	`fma-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	33
1	18	27
2	19	27
0	9	38
1	179	30
2	2314	30
0	223	2866
1	593	2444
2	1882	2068
3	7770	2064
0	9	53
1	187	53
2	2395	53
0	297	3815
1	818	3357
2	2869	3199
0	9	38
1	179	30
2	2314	30
0	223	2866
1	593	2444
2	1882	2068
3	7770	2064
0	223	2866
1	593	2444
2	1882	2068
3	7770	2064
0	8	28
1	180	28
2	2185	28
0	11	75
1	255	47
2	3502	43
0	223	2866
1	593	2444
2	1882	2068
3	7770	2064
0	223	2866
1	593	2444
2	1882	2068
3	7770	2064
0	223	2866
1	593	2444
2	1882	2068
3	7770	2064
0	297	3815
1	818	3357
2	2869	3199
0	9	38
1	179	30
2	2314	30
0	223	2866
1	593	2444
2	1882	2068
3	7770	2064

Stop Event

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

Compiler

Compiled 1807 to 1191 computations (34.1% saved)

end282.0ms (4.1%)

Compiler: Compiled 752 to 452 computations (39.9% saved)