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)

sample793.0ms (12.2%)

Results

732.0ms

8256×

body

256

valid

Bogosity

preprocess12.0ms (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)

eval1.0ms (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

50.5%

Counts

4 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.5%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) x)

Compiler

Compiled 10 to 7 computations (30% saved)

localize16.0ms (0.2%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(+.f64 (fabs.f64 x) (hypot.f64 1 x))
✓	93.2%	(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))

rewrite59.0ms (0.9%)

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)

simplify83.0ms (1.3%)

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))

eval79.0ms (1.2%)

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

prune43.0ms (0.7%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	130	19	149
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	131	19	150

Accurracy

100.0%

Counts

150 → 19

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)
	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)) (log1p.f64 x))) x)
	55.9%	(copysign.f64 (fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 1 (fabs.f64 x))) (log1p.f64 (fabs.f64 x))) x)
	55.3%	(copysign.f64 (fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 1 x)) (log1p.f64 x)) x)
	55.4%	(copysign.f64 (fma.f64 -1/24 (.f64 (+.f64 (/.f64 3 (+.f64 1 (fabs.f64 x))) (/.f64 3 (pow.f64 (+.f64 1 (fabs.f64 x)) 2))) (pow.f64 x 4)) (fma.f64 1/2 (/.f64 (.f64 x x) (+.f64 1 (fabs.f64 x))) (log1p.f64 (fabs.f64 x)))) x)
▶	24.5%	(copysign.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3) x)
	24.8%	(copysign.f64 (pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) x)
	26.4%	(copysign.f64 (-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1) x)
	13.0%	(copysign.f64 (-.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)))) x)
▶	67.5%	(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
▶	59.8%	(copysign.f64 (log1p.f64 x) x)
▶	25.8%	(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
▶	26.3%	(copysign.f64 (log.f64 (-.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) 1)) x)
	26.4%	(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
	21.7%	(copysign.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) x)
	21.7%	(copysign.f64 (log.f64 (+.f64 x x)) x)
	18.7%	(copysign.f64 (log.f64 (+.f64 1 (fabs.f64 x))) x)
	11.0%	(copysign.f64 (log.f64 (+.f64 1 x)) x)
	9.3%	(copysign.f64 (log.f64 (neg.f64 x)) x)

Compiler

Compiled 598 to 430 computations (28.1% 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)

localize9.0ms (0.1%)

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)

series49.0ms (0.8%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
28.0ms	x	@	0	(log.f64 (/.f64 -1/2 x))
15.0ms	x	@	-inf	(log.f64 (/.f64 -1/2 x))
6.0ms	x	@	inf	(log.f64 (/.f64 -1/2 x))

rewrite57.0ms (0.9%)

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))

simplify58.0ms (0.9%)

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)))

localize22.0ms (0.3%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(+.f64 1 (+.f64 x (hypot.f64 1 x)))
✓	99.7%	(-.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) 1)
✓	99.6%	(+.f64 x (hypot.f64 1 x))
✓	93.7%	(log.f64 (-.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) 1))

Compiler

Compiled 49 to 36 computations (26.5% saved)

series3.0ms (0%)

Counts

4 → 48

Calls

12 calls:

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

rewrite107.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1652×	`prod-diff`
1062×	`fma-def`
872×	`log-prod`
478×	`pow-exp`
444×	`pow-prod-up`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	74
1	222	62
2	3217	62

Stop Event

1×	node limit

Counts

4 → 330

Calls

Call 1

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

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

simplify154.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1054×	`cancel-sign-sub-inv`
550×	`fma-neg`
538×	`sub-neg`
442×	`distribute-rgt-neg-in`
434×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	560	14396
1	1325	12678
2	4012	12220

Stop Event

1×	node limit

Counts

378 → 414

Calls

Call 1

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

localize25.0ms (0.4%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.8%	(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)
	99.6%	(+.f64 x (hypot.f64 1 x))
✓	99.3%	(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)
✓	93.3%	(log.f64 (+.f64 x (hypot.f64 1 x)))

Compiler

Compiled 49 to 36 computations (26.5% saved)

series12.0ms (0.2%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)
3.0ms	x	@	-inf	(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)
2.0ms	x	@	0	(log.f64 (+.f64 x (hypot.f64 1 x)))
1.0ms	x	@	inf	(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)
1.0ms	x	@	-inf	(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)

rewrite89.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

924×	`prod-diff`
878×	`log-prod`
560×	`prod-exp`
550×	`pow-prod-down`
486×	`pow-prod-up`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	57
1	255	57
2	2725	57

Stop Event

1×	node limit

Counts

3 → 128

Calls

Call 1

Inputs
(log.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)

Outputs
(+.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 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 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 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.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 (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 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 1/3 (log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)))
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.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)))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(pow.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) 3/2)
(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))) 6) 1/6)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 9) 1/9)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3/2) 2/3)
(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))
(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 (.f64 (log.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) 1) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 3))
(exp.f64 (.f64 (.f64 6 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1/6))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) 1/6) 2))
(exp.f64 (.f64 (.f64 2 (log.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) 3/2))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (*.f64 (log.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) 1/6)))
(exp.f64 (+.f64 (*.f64 (log.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) 1/6) (log.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))
(exp.f64 (+.f64 (.f64 (log.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) 1/6) (.f64 (log.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) 1/6)))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 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 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 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 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.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 (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 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 1/3 (log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)))
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.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)))))
(*.f64 2 (log.f64 (sqrt.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)))))
(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)))
(log.f64 (+.f64 1 (-.f64 (+.f64 x (hypot.f64 1 x)) 1)))
(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 (.f64 (log.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) 1) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 3))
(exp.f64 (.f64 (.f64 6 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1/6))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) 1/6) 2))
(exp.f64 (.f64 (.f64 2 (log.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) 3/2))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (*.f64 (log.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) 1/6)))
(exp.f64 (+.f64 (*.f64 (log.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) 1/6) (log.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))
(exp.f64 (+.f64 (.f64 (log.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) 1/6) (.f64 (log.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) 1/6)))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))
(+.f64 0 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))) 1)
(*.f64 1 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(*.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1)
(.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(*.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 5/2))
(*.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3/2) (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3/2))
(.f64 (.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) 1) (log.f64 (+.f64 x (hypot.f64 1 x))))
(.f64 (pow.f64 (.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 5/2) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 6))
(log.f64 (exp.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 9))
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)))
(exp.f64 (log.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) 1))
(exp.f64 (.f64 (.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1) 3))
(exp.f64 (.f64 (.f64 (log.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) 1) 1))
(exp.f64 (.f64 (.f64 2 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 3/2))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 9)) 1/3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3/2)) 2))
(exp.f64 (.f64 (.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3/2) 2))
(exp.f64 (+.f64 (.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1) (.f64 2 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))
(exp.f64 (+.f64 (.f64 2 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)))
(exp.f64 (+.f64 (log.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3/2)) (*.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3/2)))
(exp.f64 (+.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3/2) (log.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3/2))))
(exp.f64 (+.f64 (.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3/2) (.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3/2)))
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)))

simplify115.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

658×	`fma-def`
530×	`associate--l+`
504×	`associate-+r+`
436×	`+-commutative`
416×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	444	9194
1	1267	8312
2	4736	7414

Stop Event

1×	node limit

Counts

164 → 190

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)))))
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 1/3 (/.f64 (+.f64 (.f64 1/4 (pow.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) 2)) (.f64 1/2 (pow.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) 2))) (.f64 (pow.f64 x 2) (pow.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) 2))))))
(+.f64 (.f64 1/3 (/.f64 (-.f64 (+.f64 (.f64 1/8 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))) (+.f64 (.f64 -3/32 (pow.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) 2)) (.f64 (+.f64 1/16 (.f64 -3/16 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))))) (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))))) (.f64 1/3 (/.f64 (pow.f64 (+.f64 (.f64 1/4 (pow.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) 2)) (.f64 1/2 (pow.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) 2))) 2) (pow.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) 3)))) (.f64 (pow.f64 x 4) (pow.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) 2)))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (.f64 1/3 (/.f64 (+.f64 (.f64 1/4 (pow.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) 2)) (.f64 1/2 (pow.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) 2))) (.f64 (pow.f64 x 2) (pow.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) 2)))))))
(+.f64 (.f64 1/3 (/.f64 (-.f64 (+.f64 (.f64 1/8 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))) (+.f64 (.f64 -3/32 (pow.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) 2)) (.f64 (+.f64 1/16 (.f64 -3/16 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))))) (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))))) (.f64 1/3 (/.f64 (pow.f64 (+.f64 (.f64 1/4 (pow.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) 2)) (.f64 1/2 (pow.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) 2))) 2) (pow.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) 3)))) (.f64 (pow.f64 x 4) (pow.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) 2)))) (+.f64 (.f64 1/3 (/.f64 (-.f64 (+.f64 (.f64 1/4 (+.f64 1/16 (.f64 -3/16 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))))) (+.f64 (.f64 (-.f64 (.f64 5/48 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))) 3/64) (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))) (+.f64 (.f64 -3/64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))) (.f64 5/96 (pow.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) 2))))) (+.f64 (.f64 2/3 (/.f64 (.f64 (-.f64 (+.f64 (.f64 1/8 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))) (+.f64 (.f64 -3/32 (pow.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) 2)) (.f64 (+.f64 1/16 (.f64 -3/16 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))))) (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))))) (.f64 1/3 (/.f64 (pow.f64 (+.f64 (.f64 1/4 (pow.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) 2)) (.f64 1/2 (pow.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) 2))) 2) (pow.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) 3)))) (+.f64 (.f64 1/4 (pow.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) 2)) (.f64 1/2 (pow.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) 2)))) (pow.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) 3))) (.f64 1/27 (/.f64 (pow.f64 (+.f64 (.f64 1/4 (pow.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) 2)) (.f64 1/2 (pow.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) 2))) 3) (pow.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) 6))))) (.f64 (pow.f64 x 6) (pow.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) 2)))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (.f64 1/3 (/.f64 (+.f64 (.f64 1/4 (pow.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) 2)) (.f64 1/2 (pow.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) 2))) (.f64 (pow.f64 x 2) (pow.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) 2))))))))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
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(*.f64 1/3 (log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)))
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.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)))))
(*.f64 2 (log.f64 (sqrt.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)))))
(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)))
(log.f64 (+.f64 1 (-.f64 (+.f64 x (hypot.f64 1 x)) 1)))
(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 (.f64 (log.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) 1) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 3))
(exp.f64 (.f64 (.f64 6 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1/6))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) 1/6) 2))
(exp.f64 (.f64 (.f64 2 (log.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) 3/2))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (*.f64 (log.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) 1/6)))
(exp.f64 (+.f64 (*.f64 (log.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) 1/6) (log.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))
(exp.f64 (+.f64 (.f64 (log.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) 1/6) (.f64 (log.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) 1/6)))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))
(+.f64 0 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))) 1)
(*.f64 1 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(*.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1)
(.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(*.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 5/2))
(*.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3/2) (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3/2))
(.f64 (.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) 1) (log.f64 (+.f64 x (hypot.f64 1 x))))
(.f64 (pow.f64 (.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 5/2) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 6))
(log.f64 (exp.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 9))
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)))
(exp.f64 (log.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) 1))
(exp.f64 (.f64 (.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1) 3))
(exp.f64 (.f64 (.f64 (log.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) 1) 1))
(exp.f64 (.f64 (.f64 2 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 3/2))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 9)) 1/3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3/2)) 2))
(exp.f64 (.f64 (.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3/2) 2))
(exp.f64 (+.f64 (.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1) (.f64 2 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))
(exp.f64 (+.f64 (.f64 2 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)))
(exp.f64 (+.f64 (log.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3/2)) (*.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3/2)))
(exp.f64 (+.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3/2) (log.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3/2))))
(exp.f64 (+.f64 (.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3/2) (.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3/2)))
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)))

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 (+.f64 (log.f64 2) (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 x) (+.f64 (log.f64 2) (+.f64 (/.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 (+.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6))) (log.f64 x)) (/.f64 3/32 (pow.f64 x 4))))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (log.f64 1/2) (/.f64 1/4 (*.f64 x x))))
(+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 -1 x)) (/.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 (/.f64 3/32 (pow.f64 x 4)) (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 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 1/2)) (-.f64 (log.f64 (/.f64 -1 x)) (+.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)) (log.f64 1/2)) (+.f64 (/.f64 -1/4 (*.f64 x x)) (/.f64 -5/96 (pow.f64 x 6)))))
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 1/3 (/.f64 (+.f64 (.f64 1/4 (pow.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) 2)) (.f64 1/2 (pow.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) 2))) (.f64 (pow.f64 x 2) (pow.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) 2))))))
(fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (.f64 1/3 (/.f64 (.f64 (pow.f64 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x)))) 2) 3/4) (.f64 (pow.f64 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x)))) 2) (.f64 x x))))))
(+.f64 (log.f64 x) (fma.f64 1/3 (/.f64 (/.f64 (pow.f64 (+.f64 (log.f64 2) (log.f64 x)) 2) (/.f64 (*.f64 x x) 3/4)) (pow.f64 (+.f64 (log.f64 2) (log.f64 x)) 2)) (log.f64 2)))
(+.f64 (log.f64 x) (fma.f64 1/3 (.f64 1 (/.f64 3/4 (.f64 x x))) (log.f64 2)))
(+.f64 (.f64 1/3 (/.f64 (-.f64 (+.f64 (.f64 1/8 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))) (+.f64 (.f64 -3/32 (pow.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) 2)) (.f64 (+.f64 1/16 (.f64 -3/16 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))))) (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))))) (.f64 1/3 (/.f64 (pow.f64 (+.f64 (.f64 1/4 (pow.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) 2)) (.f64 1/2 (pow.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) 2))) 2) (pow.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) 3)))) (.f64 (pow.f64 x 4) (pow.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) 2)))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (.f64 1/3 (/.f64 (+.f64 (.f64 1/4 (pow.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) 2)) (.f64 1/2 (pow.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) 2))) (.f64 (pow.f64 x 2) (pow.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) 2)))))))
(fma.f64 1/3 (/.f64 (+.f64 (fma.f64 1/8 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x)))) (fma.f64 -3/32 (pow.f64 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x)))) 2) (.f64 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x)))) (+.f64 1/16 (.f64 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x)))) -3/16))))) (.f64 -1/3 (/.f64 (pow.f64 (.f64 (pow.f64 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x)))) 2) 3/4) 2) (pow.f64 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x)))) 3)))) (.f64 (pow.f64 x 4) (pow.f64 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x)))) 2))) (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (.f64 1/3 (/.f64 (.f64 (pow.f64 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x)))) 2) 3/4) (.f64 (pow.f64 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x)))) 2) (*.f64 x x)))))))
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(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)
(exp.f64 (.f64 (.f64 (log.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) 1) 1))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)
(exp.f64 (.f64 (.f64 2 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 3/2))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 9)) 1/3))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3/2)) 2))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)
(exp.f64 (.f64 (.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3/2) 2))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)
(exp.f64 (+.f64 (.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1) (.f64 2 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)
(exp.f64 (+.f64 (.f64 2 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)
(exp.f64 (+.f64 (log.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3/2)) (*.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3/2)))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)
(exp.f64 (+.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3/2) (log.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3/2))))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)
(exp.f64 (+.f64 (.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3/2) (.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3/2)))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)

eval446.0ms (6.9%)

Compiler: Compiled 21544 to 16863 computations (21.7% saved)

prune136.0ms (2.1%)

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	794	6	800
Fresh	10	4	14
Picked	0	1	1
Done	2	2	4
Total	806	13	819

Accurracy

100.0%

Counts

819 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	24.5%	(copysign.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3) x)
	24.8%	(copysign.f64 (pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) x)
▶	55.3%	(copysign.f64 (+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x)) x)
	55.4%	(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x)
▶	75.9%	(copysign.f64 (log1p.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1))) x)
✓	59.8%	(copysign.f64 (log1p.f64 x) x)
✓	25.8%	(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
	26.4%	(copysign.f64 (log.f64 (+.f64 (hypot.f64 1 x) x)) x)
▶	21.7%	(copysign.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) x)
▶	21.7%	(copysign.f64 (log.f64 (+.f64 x x)) x)
	9.3%	(copysign.f64 (log.f64 (neg.f64 x)) x)
	24.5%	(copysign.f64 (exp.f64 (.f64 (.f64 3 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1/3)) x)
▶	56.5%	(copysign.f64 x x)

Compiler

Compiled 227 to 160 computations (29.5% saved)

localize16.0ms (0.2%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	99.7%	(log1p.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1)))
✓	98.8%	(+.f64 x (+.f64 (hypot.f64 1 x) -1))
✓	96.2%	(+.f64 (hypot.f64 1 x) -1)

Compiler

Compiled 37 to 27 computations (27% saved)

series4.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(log1p.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1)))
0.0ms	x	@	0	(log1p.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1)))
0.0ms	x	@	-inf	(log1p.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1)))
0.0ms	x	@	0	(+.f64 (hypot.f64 1 x) -1)
0.0ms	x	@	-inf	(+.f64 x (+.f64 (hypot.f64 1 x) -1))

rewrite83.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1388×	`prod-diff`
1242×	`unpow-prod-down`
864×	`log-prod`
622×	`fma-def`
594×	`pow-prod-down`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	55
1	211	55
2	2699	55

Stop Event

1×	node limit

Counts

3 → 180

Calls

Call 1

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

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

simplify112.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1326×	`fma-neg`
866×	`log-prod`
562×	`cube-prod`
520×	`associate-r`
512×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	526	6800
1	1370	6474
2	4574	6474

Stop Event

1×	node limit

Counts

216 → 332

Calls

Call 1

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

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

localize3.0ms (0.1%)

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

localize7.0ms (0.1%)

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

localize16.0ms (0.2%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	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)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite77.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1126×	`unpow-prod-down`
906×	`fma-def`
770×	`log-prod`
650×	`prod-exp`
582×	`pow-prod-down`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	7	32
1	169	32
2	2577	28

Stop Event

1×	node limit

Counts

2 → 147

Calls

Call 1

Inputs
(+.f64 x (/.f64 1/2 x))
(+.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 (pow.f64 x -2)) (-.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 (fma.f64 1/8 (pow.f64 x -3) (pow.f64 x 3)) (pow.f64 (/.f64 1 (fma.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) x) (.f64 x x))) 1))
(.f64 (-.f64 (.f64 x x) (*.f64 1/4 (pow.f64 x -2))) (/.f64 1 (-.f64 x (/.f64 1/2 x))))
(.f64 (-.f64 (.f64 x x) (*.f64 1/4 (pow.f64 x -2))) (pow.f64 (/.f64 1 (-.f64 x (/.f64 1/2 x))) 1))
(*.f64 (pow.f64 1 1/3) (+.f64 x (/.f64 1/2 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 1/2 x)))) 2) 3) (cbrt.f64 (+.f64 x (/.f64 1/2 x))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x (/.f64 1/2 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x (/.f64 1/2 x)))) 3))
(.f64 (pow.f64 (pow.f64 (.f64 (+.f64 x (/.f64 1/2 x)) (cbrt.f64 (+.f64 x (/.f64 1/2 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 1/2 x)))))
(*.f64 (pow.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (+.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 (pow.f64 x -2)))))
(/.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 x x)))))
(/.f64 (-.f64 (.f64 x x) (.f64 1/4 (pow.f64 x -2))) (-.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 (pow.f64 x -2)))) (neg.f64 (-.f64 x (/.f64 1/2 x))))
(/.f64 (-.f64 (.f64 1/4 (pow.f64 x -2)) (.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 (pow.f64 x -2)))) -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 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 (cbrt.f64 (/.f64 1/2 x)) (cbrt.f64 (*.f64 1/4 (pow.f64 x -2))) x)
(fma.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 x -2))) (cbrt.f64 (/.f64 1/2 x)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 1/2 x))
(fma.f64 (sqrt.f64 (/.f64 1/2 x)) (sqrt.f64 (/.f64 1/2 x)) 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 (pow.f64 (+.f64 x (/.f64 1/2 x)) 3) (pow.f64 x 3)) (pow.f64 (/.f64 1 (fma.f64 (+.f64 x (/.f64 1/2 x)) (-.f64 (+.f64 x (/.f64 1/2 x)) x) (.f64 x x))) 1))
(.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 (-.f64 (.f64 x x) (pow.f64 (+.f64 x (/.f64 1/2 x)) 2)) (pow.f64 (/.f64 1 (-.f64 x (+.f64 x (/.f64 1/2 x)))) 1))
(*.f64 2 (cosh.f64 (log.f64 (+.f64 x x))))
(*.f64 (pow.f64 1 1/3) (fma.f64 x 2 (/.f64 1/2 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 1/2 x)))) 2) 3) (cbrt.f64 (fma.f64 x 2 (/.f64 1/2 x))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 1/2 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 1/2 x)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x 2 (/.f64 1/2 x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x 2 (/.f64 1/2 x)) 3)) 1/3))
(.f64 (pow.f64 (pow.f64 (.f64 (fma.f64 x 2 (/.f64 1/2 x)) (cbrt.f64 (fma.f64 x 2 (/.f64 1/2 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 1/2 x)))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x 2 (/.f64 1/2 x)) 5/2) 1/3) (cbrt.f64 (sqrt.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 (.f64 (pow.f64 x 3) 8) (.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 (pow.f64 x -2))) (-.f64 (+.f64 x x) (/.f64 1/2 x)))
(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 (/.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)
(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 (fma.f64 x 2 (/.f64 1/2 x))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 x 2 (/.f64 1/2 x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 1/2 x)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x 2 (/.f64 1/2 x)) 3)) 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 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 (cbrt.f64 (/.f64 1/2 x)) (cbrt.f64 (*.f64 1/4 (pow.f64 x -2))) (+.f64 x x))
(fma.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 x -2))) (cbrt.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 (sqrt.f64 (/.f64 1/2 x)) (sqrt.f64 (/.f64 1/2 x)) (+.f64 x 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 (pow.f64 x -2))) (/.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))

simplify72.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1634×	`fma-def`
1118×	`distribute-rgt-in`
1116×	`distribute-lft-in`
1060×	`unswap-sqr`
476×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	330	4311
1	800	3979
2	2399	3809

Stop Event

1×	node limit

Counts

171 → 185

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 (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 (pow.f64 x -2)) (-.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 (fma.f64 1/8 (pow.f64 x -3) (pow.f64 x 3)) (pow.f64 (/.f64 1 (fma.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) x) (.f64 x x))) 1))
(.f64 (-.f64 (.f64 x x) (*.f64 1/4 (pow.f64 x -2))) (/.f64 1 (-.f64 x (/.f64 1/2 x))))
(.f64 (-.f64 (.f64 x x) (*.f64 1/4 (pow.f64 x -2))) (pow.f64 (/.f64 1 (-.f64 x (/.f64 1/2 x))) 1))
(*.f64 (pow.f64 1 1/3) (+.f64 x (/.f64 1/2 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 1/2 x)))) 2) 3) (cbrt.f64 (+.f64 x (/.f64 1/2 x))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x (/.f64 1/2 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x (/.f64 1/2 x)))) 3))
(.f64 (pow.f64 (pow.f64 (.f64 (+.f64 x (/.f64 1/2 x)) (cbrt.f64 (+.f64 x (/.f64 1/2 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 1/2 x)))))
(*.f64 (pow.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (+.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 (pow.f64 x -2)))))
(/.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 x x)))))
(/.f64 (-.f64 (.f64 x x) (.f64 1/4 (pow.f64 x -2))) (-.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 (pow.f64 x -2)))) (neg.f64 (-.f64 x (/.f64 1/2 x))))
(/.f64 (-.f64 (.f64 1/4 (pow.f64 x -2)) (.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 (pow.f64 x -2)))) -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 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 (cbrt.f64 (/.f64 1/2 x)) (cbrt.f64 (*.f64 1/4 (pow.f64 x -2))) x)
(fma.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 x -2))) (cbrt.f64 (/.f64 1/2 x)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 1/2 x))
(fma.f64 (sqrt.f64 (/.f64 1/2 x)) (sqrt.f64 (/.f64 1/2 x)) 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 (pow.f64 (+.f64 x (/.f64 1/2 x)) 3) (pow.f64 x 3)) (pow.f64 (/.f64 1 (fma.f64 (+.f64 x (/.f64 1/2 x)) (-.f64 (+.f64 x (/.f64 1/2 x)) x) (.f64 x x))) 1))
(.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 (-.f64 (.f64 x x) (pow.f64 (+.f64 x (/.f64 1/2 x)) 2)) (pow.f64 (/.f64 1 (-.f64 x (+.f64 x (/.f64 1/2 x)))) 1))
(*.f64 2 (cosh.f64 (log.f64 (+.f64 x x))))
(*.f64 (pow.f64 1 1/3) (fma.f64 x 2 (/.f64 1/2 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 1/2 x)))) 2) 3) (cbrt.f64 (fma.f64 x 2 (/.f64 1/2 x))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 1/2 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 1/2 x)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x 2 (/.f64 1/2 x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x 2 (/.f64 1/2 x)) 3)) 1/3))
(.f64 (pow.f64 (pow.f64 (.f64 (fma.f64 x 2 (/.f64 1/2 x)) (cbrt.f64 (fma.f64 x 2 (/.f64 1/2 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 1/2 x)))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x 2 (/.f64 1/2 x)) 5/2) 1/3) (cbrt.f64 (sqrt.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 (.f64 (pow.f64 x 3) 8) (.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 (pow.f64 x -2))) (-.f64 (+.f64 x x) (/.f64 1/2 x)))
(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 (/.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)
(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 (fma.f64 x 2 (/.f64 1/2 x))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 x 2 (/.f64 1/2 x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 1/2 x)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x 2 (/.f64 1/2 x)) 3)) 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 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 (cbrt.f64 (/.f64 1/2 x)) (cbrt.f64 (*.f64 1/4 (pow.f64 x -2))) (+.f64 x x))
(fma.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 x -2))) (cbrt.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 (sqrt.f64 (/.f64 1/2 x)) (sqrt.f64 (/.f64 1/2 x)) (+.f64 x 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 (pow.f64 x -2))) (/.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))

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

localize29.0ms (0.5%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	99.9%	(*.f64 3/40 (pow.f64 x 5))
✓	99.8%	(*.f64 -1/6 (pow.f64 x 3))
✓	71.4%	(+.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)

series3.0ms (0%)

Counts

3 → 6

Calls

9 calls:

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

rewrite82.0ms (1.3%)

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	55
1	300	55
2	3800	55

Stop Event

1×	node limit

Counts

3 → 132

Calls

Call 1

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

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

simplify71.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1100×	`distribute-lft-in`
1086×	`distribute-rgt-in`
604×	`unswap-sqr`
544×	`associate-+r+`
496×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	333	4600
1	789	4520
2	2148	4376

Stop Event

1×	node limit

Counts

138 → 157

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

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

eval430.0ms (6.6%)

Compiler: Compiled 13045 to 9562 computations (26.7% saved)

prune113.0ms (1.7%)

Pruning

11 alts after pruning (5 fresh and 6 done)

	Pruned	Kept	Total
New	673	1	674
Fresh	1	4	5
Picked	1	0	1
Done	1	6	7
Total	676	11	687

Accurracy

100.0%

Counts

687 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	55.4%	(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x)
▶	66.3%	(copysign.f64 (log1p.f64 (+.f64 x (/.f64 (*.f64 x x) (+.f64 (hypot.f64 1 x) 1)))) x)
✓	75.9%	(copysign.f64 (log1p.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1))) x)
✓	59.8%	(copysign.f64 (log1p.f64 x) x)
✓	25.8%	(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
▶	26.4%	(copysign.f64 (log.f64 (+.f64 (hypot.f64 1 x) x)) x)
✓	21.7%	(copysign.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) x)
✓	21.7%	(copysign.f64 (log.f64 (+.f64 x x)) x)
▶	9.3%	(copysign.f64 (log.f64 (neg.f64 x)) x)
▶	24.5%	(copysign.f64 (exp.f64 (.f64 (.f64 3 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1/3)) x)
✓	56.5%	(copysign.f64 x x)

Compiler

Compiled 155 to 107 computations (31% saved)

localize22.0ms (0.3%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	99.7%	(log1p.f64 (+.f64 x (/.f64 (*.f64 x x) (+.f64 (hypot.f64 1 x) 1))))
✓	98.8%	(+.f64 x (/.f64 (*.f64 x x) (+.f64 (hypot.f64 1 x) 1)))
✓	77.8%	(/.f64 (*.f64 x x) (+.f64 (hypot.f64 1 x) 1))

Compiler

Compiled 60 to 35 computations (41.7% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite92.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1096×	`log-prod`
778×	`fma-def`
742×	`pow-prod-down`
546×	`pow-exp`
542×	`pow-prod-up`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	91
1	239	55
2	3414	55

Stop Event

1×	node limit

Counts

3 → 154

Calls

Call 1

Inputs
(/.f64 (*.f64 x x) (+.f64 (hypot.f64 1 x) 1))
(+.f64 x (/.f64 (*.f64 x x) (+.f64 (hypot.f64 1 x) 1)))
(log1p.f64 (+.f64 x (/.f64 (*.f64 x x) (+.f64 (hypot.f64 1 x) 1))))

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

simplify95.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1076×	`unswap-sqr`
860×	`cancel-sign-sub-inv`
776×	`fma-neg`
758×	`times-frac`
444×	`sub-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	429	5608
1	1065	5408
2	3390	5392

Stop Event

1×	node limit

Counts

190 → 317

Calls

Call 1

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

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

localize7.0ms (0.1%)

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

localize14.0ms (0.2%)

Local Accuracy

Found 1 expressions with local accuracy:

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

Compiler

Compiled 28 to 20 computations (28.6% saved)

localize12.0ms (0.2%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	99.6%	(+.f64 (hypot.f64 1 x) x)
✓	93.3%	(log.f64 (+.f64 (hypot.f64 1 x) x))

Compiler

Compiled 25 to 16 computations (36% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite58.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 56

Calls

Call 1

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

simplify84.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1538×	`fma-def`
1230×	`fma-neg`
728×	`unswap-sqr`
710×	`log-prod`
462×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	214	2564
1	554	2138
2	1738	1984
3	6918	1984

Stop Event

1×	node limit

Counts

80 → 132

Calls

Call 1

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

localize34.0ms (0.5%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.8%	(.f64 (.f64 3 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1/3)
	99.6%	(+.f64 x (hypot.f64 1 x))
✓	99.5%	(exp.f64 (.f64 (.f64 3 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1/3))
	93.3%	(log.f64 (+.f64 x (hypot.f64 1 x)))

Compiler

Compiled 72 to 55 computations (23.6% saved)

series4.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(.f64 (.f64 3 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1/3)
1.0ms	x	@	inf	(.f64 (.f64 3 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1/3)
0.0ms	x	@	0	(.f64 (.f64 3 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1/3)
0.0ms	x	@	inf	(exp.f64 (.f64 (.f64 3 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1/3))
0.0ms	x	@	0	(exp.f64 (.f64 (.f64 3 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1/3))

rewrite75.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1034×	`log-prod`
924×	`prod-diff`
602×	`pow-prod-down`
512×	`pow-prod-up`
464×	`pow-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	70
1	275	38
2	3296	38

Stop Event

1×	node limit

Counts

2 → 112

Calls

Call 1

Inputs
(exp.f64 (.f64 (.f64 3 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1/3))
(.f64 (.f64 3 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1/3)

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

simplify104.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1738×	`fma-def`
996×	`distribute-lft-in`
972×	`distribute-rgt-in`
816×	`sqr-pow`
770×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	406	7084
1	1048	6882
2	2866	6742

Stop Event

1×	node limit

Counts

136 → 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))))
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(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))
(+.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 0)
(+.f64 0 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (*.f64 2 (log.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))
(+.f64 (log.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (log.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (log.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) 1)
(pow.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(pow.f64 (cbrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 3)
(pow.f64 (pow.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2)
(sqrt.f64 (pow.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(log.f64 (+.f64 1 (-.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)))
(cbrt.f64 (pow.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3))
(expm1.f64 (log1p.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(exp.f64 (log.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) 2))
(log1p.f64 (-.f64 (log.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 2) (+.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x))))
(+.f64 (log.f64 2) (+.f64 (/.f64 1/4 (*.f64 x x)) (log.f64 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) (log.f64 x)) (+.f64 (/.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 (+.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) (log.f64 x)) (+.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6))) (/.f64 -3/32 (pow.f64 x 4))))
(+.f64 (+.f64 (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x))) (/.f64 5/96 (pow.f64 x 6))) (+.f64 (log.f64 x) (/.f64 -3/32 (pow.f64 x 4))))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (log.f64 1/2) (/.f64 1/4 (*.f64 x x))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 1/2)) (/.f64 1/4 (*.f64 x x))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (-.f64 (log.f64 1/2) (/.f64 1/4 (*.f64 x x)))))
(+.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 1/2)) (-.f64 (log.f64 (/.f64 -1 x)) (/.f64 1/4 (*.f64 x x))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (+.f64 (.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 (log.f64 1/2) (-.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6))))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (/.f64 -1/4 (*.f64 x x)) (/.f64 -5/96 (pow.f64 x 6))))))
(log.f64 x)
(+.f64 (*.f64 -1/6 (pow.f64 x 2)) (log.f64 x))
(fma.f64 -1/6 (*.f64 x x) (log.f64 x))
(+.f64 (.f64 -1/6 (pow.f64 x 2)) (+.f64 (.f64 11/180 (pow.f64 x 4)) (log.f64 x)))
(fma.f64 -1/6 (*.f64 x x) (fma.f64 11/180 (pow.f64 x 4) (log.f64 x)))
(fma.f64 -1/6 (*.f64 x x) (fma.f64 (pow.f64 x 4) 11/180 (log.f64 x)))
(fma.f64 (pow.f64 x 4) 11/180 (fma.f64 -1/6 (*.f64 x x) (log.f64 x)))
(+.f64 (.f64 -1/6 (pow.f64 x 2)) (+.f64 (.f64 11/180 (pow.f64 x 4)) (+.f64 (*.f64 -191/5670 (pow.f64 x 6)) (log.f64 x))))
(fma.f64 -1/6 (*.f64 x x) (fma.f64 11/180 (pow.f64 x 4) (fma.f64 -191/5670 (pow.f64 x 6) (log.f64 x))))
(fma.f64 -1/6 (*.f64 x x) (fma.f64 (pow.f64 x 4) 11/180 (fma.f64 (pow.f64 x 6) -191/5670 (log.f64 x))))
(fma.f64 x (*.f64 x -1/6) (fma.f64 (pow.f64 x 4) 11/180 (fma.f64 (pow.f64 x 6) -191/5670 (log.f64 x))))
(log.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))))
(log.f64 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x)))))
(log.f64 (+.f64 (log.f64 2) (log.f64 x)))
(+.f64 (.f64 1/4 (/.f64 1 (.f64 (pow.f64 x 2) (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))))) (log.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))))
(+.f64 (log.f64 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))) (/.f64 1/4 (.f64 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x)))) (.f64 x x))))
(+.f64 (log.f64 (+.f64 (log.f64 2) (log.f64 x))) (/.f64 (/.f64 1/4 (*.f64 x x)) (+.f64 (log.f64 2) (log.f64 x))))
(+.f64 (.f64 -1/24 (/.f64 (+.f64 (.f64 3/4 (/.f64 1 (pow.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) 2))) (.f64 9/4 (/.f64 1 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))))) (pow.f64 x 4))) (+.f64 (.f64 1/4 (/.f64 1 (.f64 (pow.f64 x 2) (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))))) (log.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))))))
(fma.f64 -1/24 (/.f64 (+.f64 (/.f64 3/4 (pow.f64 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x)))) 2)) (/.f64 9/4 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x)))))) (pow.f64 x 4)) (+.f64 (log.f64 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))) (/.f64 1/4 (.f64 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x)))) (.f64 x x)))))
(fma.f64 -1/24 (/.f64 (+.f64 (/.f64 3/4 (pow.f64 (+.f64 (log.f64 2) (log.f64 x)) 2)) (/.f64 9/4 (+.f64 (log.f64 2) (log.f64 x)))) (pow.f64 x 4)) (+.f64 (log.f64 (+.f64 (log.f64 2) (log.f64 x))) (/.f64 (/.f64 1/4 (*.f64 x x)) (+.f64 (log.f64 2) (log.f64 x)))))
(+.f64 (fma.f64 -1/24 (/.f64 (+.f64 (/.f64 3/4 (pow.f64 (+.f64 (log.f64 2) (log.f64 x)) 2)) (/.f64 9/4 (+.f64 (log.f64 2) (log.f64 x)))) (pow.f64 x 4)) (log.f64 (+.f64 (log.f64 2) (log.f64 x)))) (/.f64 (/.f64 1/4 (*.f64 x x)) (+.f64 (log.f64 2) (log.f64 x))))
(+.f64 (.f64 -1/24 (/.f64 (+.f64 (.f64 3/4 (/.f64 1 (pow.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) 2))) (.f64 9/4 (/.f64 1 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))))) (pow.f64 x 4))) (+.f64 (.f64 1/4 (/.f64 1 (.f64 (pow.f64 x 2) (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))))) (+.f64 (.f64 1/720 (/.f64 (+.f64 (.f64 135/8 (/.f64 1 (pow.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) 2))) (+.f64 (.f64 75/2 (/.f64 1 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))))) (.f64 15/4 (/.f64 1 (pow.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) 3))))) (pow.f64 x 6))) (log.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))))))
(fma.f64 -1/24 (/.f64 (+.f64 (/.f64 3/4 (pow.f64 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x)))) 2)) (/.f64 9/4 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x)))))) (pow.f64 x 4)) (+.f64 (/.f64 1/4 (.f64 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x)))) (.f64 x x))) (fma.f64 1/720 (/.f64 (+.f64 (/.f64 135/8 (pow.f64 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x)))) 2)) (+.f64 (/.f64 75/2 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))) (/.f64 15/4 (pow.f64 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x)))) 3)))) (pow.f64 x 6)) (log.f64 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))))))
(+.f64 (fma.f64 1/720 (/.f64 (+.f64 (/.f64 135/8 (pow.f64 (+.f64 (log.f64 2) (log.f64 x)) 2)) (+.f64 (/.f64 75/2 (+.f64 (log.f64 2) (log.f64 x))) (/.f64 15/4 (pow.f64 (+.f64 (log.f64 2) (log.f64 x)) 3)))) (pow.f64 x 6)) (log.f64 (+.f64 (log.f64 2) (log.f64 x)))) (fma.f64 -1/24 (/.f64 (+.f64 (/.f64 3/4 (pow.f64 (+.f64 (log.f64 2) (log.f64 x)) 2)) (/.f64 9/4 (+.f64 (log.f64 2) (log.f64 x)))) (pow.f64 x 4)) (/.f64 (/.f64 1/4 (*.f64 x x)) (+.f64 (log.f64 2) (log.f64 x)))))
(log.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)))
(-.f64 (log.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) (.f64 1/4 (/.f64 1 (.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (pow.f64 x 2)))))
(-.f64 (log.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) (/.f64 1/4 (.f64 (.f64 x x) (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)))))
(-.f64 (log.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) (/.f64 (/.f64 1/4 (*.f64 x x)) (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))))
(+.f64 (log.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) (/.f64 (/.f64 -1/4 (*.f64 x x)) (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))))
(-.f64 (+.f64 (log.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) (.f64 1/24 (/.f64 (-.f64 (.f64 9/4 (/.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)))) (.f64 3/4 (/.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 2)))) (pow.f64 x 4)))) (.f64 1/4 (/.f64 1 (*.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (pow.f64 x 2)))))
(+.f64 (log.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) (-.f64 (.f64 1/24 (/.f64 (-.f64 (/.f64 9/4 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) (/.f64 3/4 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 2))) (pow.f64 x 4))) (/.f64 1/4 (.f64 (*.f64 x x) (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))))))
(+.f64 (log.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) (fma.f64 1/24 (/.f64 (+.f64 (/.f64 9/4 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) (/.f64 -3/4 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 2))) (pow.f64 x 4)) (/.f64 -1/4 (.f64 x (.f64 x (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)))))))
(+.f64 (log.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) (fma.f64 1/24 (/.f64 (+.f64 (/.f64 9/4 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) (/.f64 -3/4 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 2))) (pow.f64 x 4)) (/.f64 (/.f64 -1/4 (*.f64 x x)) (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)))))
(-.f64 (+.f64 (.f64 1/720 (/.f64 (-.f64 (.f64 135/8 (/.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 2))) (+.f64 (.f64 15/4 (/.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 3))) (.f64 75/2 (/.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)))))) (pow.f64 x 6))) (+.f64 (log.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) (.f64 1/24 (/.f64 (-.f64 (.f64 9/4 (/.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)))) (.f64 3/4 (/.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 2)))) (pow.f64 x 4))))) (.f64 1/4 (/.f64 1 (*.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (pow.f64 x 2)))))
(-.f64 (fma.f64 1/720 (/.f64 (-.f64 (/.f64 135/8 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 2)) (+.f64 (/.f64 15/4 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 3)) (/.f64 75/2 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))))) (pow.f64 x 6)) (+.f64 (log.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) (.f64 1/24 (/.f64 (-.f64 (/.f64 9/4 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) (/.f64 3/4 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 2))) (pow.f64 x 4))))) (/.f64 1/4 (.f64 (*.f64 x x) (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)))))
(+.f64 (fma.f64 1/720 (/.f64 (-.f64 (/.f64 135/8 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 2)) (+.f64 (/.f64 15/4 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 3)) (/.f64 75/2 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))))) (pow.f64 x 6)) (fma.f64 1/24 (/.f64 (+.f64 (/.f64 9/4 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) (/.f64 -3/4 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 2))) (pow.f64 x 4)) (log.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))))) (/.f64 -1/4 (.f64 x (.f64 x (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))))))
(+.f64 (fma.f64 1/24 (/.f64 (+.f64 (/.f64 9/4 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) (/.f64 -3/4 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 2))) (pow.f64 x 4)) (log.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)))) (fma.f64 1/720 (/.f64 (+.f64 (/.f64 135/8 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 2)) (+.f64 (/.f64 -15/4 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 3)) (/.f64 -75/2 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))))) (pow.f64 x 6)) (/.f64 (/.f64 -1/4 (*.f64 x x)) (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)))))
(+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 0)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(+.f64 (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x 1))) (log.f64 (/.f64 1 (-.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 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (/.f64 1 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))))
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(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (cbrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (cbrt.f64 (sqrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (*.f64 3 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))) (sqrt.f64 1/3))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 1/3)) (sqrt.f64 (*.f64 3 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 3)) (sqrt.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (sqrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))) (sqrt.f64 (sqrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2))) (sqrt.f64 (cbrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (fabs.f64 (cbrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))) (sqrt.f64 (cbrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (cbrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (cbrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2)) 1) (cbrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2)) (cbrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2)) (cbrt.f64 (*.f64 3 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))) (cbrt.f64 1/3))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2)) (cbrt.f64 1/3)) (cbrt.f64 (*.f64 3 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2)) (cbrt.f64 3)) (cbrt.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (cbrt.f64 (cbrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (cbrt.f64 (cbrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))) (cbrt.f64 (sqrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2))) (cbrt.f64 (cbrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2)) (sqrt.f64 (cbrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))) (sqrt.f64 (cbrt.f64 (log.f64 (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 x 3) (pow.f64 (hypot.f64 1 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))))
(-.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)))))
(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))))
(-.f64 (log.f64 -1) (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)))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(log.f64 (+.f64 1 (-.f64 (+.f64 x (hypot.f64 1 x)) 1)))
(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)))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(+.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 0)
(log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 0 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (*.f64 2 (log.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))
(log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (log.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (log.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (log.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) 1)
(log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (cbrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 3)
(log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (pow.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) 1/2)
(log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (pow.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) 1/3)
(log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (sqrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2)
(log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(sqrt.f64 (pow.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(log.f64 (+.f64 1 (-.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)))
(log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(cbrt.f64 (pow.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3))
(log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(expm1.f64 (log1p.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(exp.f64 (log.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1))
(log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(exp.f64 (.f64 (.f64 (log.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1) 1))
(log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) 3))
(log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(exp.f64 (.f64 (.f64 3 (log.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) 1/3))
(log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) 2))
(log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(log1p.f64 (-.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1))
(log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))

eval597.0ms (9.2%)

Compiler: Compiled 19264 to 14543 computations (24.5% saved)

prune172.0ms (2.6%)

Pruning

11 alts after pruning (1 fresh and 10 done)

	Pruned	Kept	Total
New	935	1	936
Fresh	0	0	0
Picked	1	0	1
Done	0	10	10
Total	936	11	947

Accurracy

100.0%

Counts

947 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	55.4%	(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x)
✓	66.3%	(copysign.f64 (log1p.f64 (+.f64 x (/.f64 (*.f64 x x) (+.f64 (hypot.f64 1 x) 1)))) x)
✓	75.9%	(copysign.f64 (log1p.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1))) x)
✓	59.8%	(copysign.f64 (log1p.f64 x) x)
✓	25.8%	(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
✓	26.4%	(copysign.f64 (log.f64 (+.f64 (hypot.f64 1 x) x)) x)
✓	21.7%	(copysign.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) x)
✓	21.7%	(copysign.f64 (log.f64 (+.f64 x x)) x)
✓	9.3%	(copysign.f64 (log.f64 (neg.f64 x)) x)
	24.7%	(copysign.f64 (exp.f64 (log1p.f64 (-.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1))) x)
✓	56.5%	(copysign.f64 x x)

Compiler

Compiled 98 to 66 computations (32.7% saved)

regimes48.0ms (0.7%)

Counts

29 → 2

Calls

Call 1

Inputs
(copysign.f64 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 (+.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 (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 (log.f64 (+.f64 (hypot.f64 1 x) x)) x)
(copysign.f64 (log1p.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1))) x)
(copysign.f64 (log.f64 (-.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) 1)) x)
(copysign.f64 (-.f64 (+.f64 1 (log.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 (log1p.f64 (+.f64 x (/.f64 (*.f64 x x) (+.f64 (hypot.f64 1 x) 1)))) 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 (pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) x)
(copysign.f64 (exp.f64 (log1p.f64 (-.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1))) x)
(copysign.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3) x)
(copysign.f64 (exp.f64 (.f64 (.f64 3 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1/3)) 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)) (log1p.f64 x))) x)
(copysign.f64 (-.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)))) x)
(copysign.f64 (fma.f64 -1/24 (.f64 (+.f64 (/.f64 3 (+.f64 1 (fabs.f64 x))) (/.f64 3 (pow.f64 (+.f64 1 (fabs.f64 x)) 2))) (pow.f64 x 4)) (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 (log.f64 (/.f64 -1/2 x)) x)
(copysign.f64 (log1p.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1))) x)

Calls

2 calls:

26.0ms	x
13.0ms	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)

Results

Accuracy	Segments	Branch
99.4%	2	`x`
99.4%	2	`(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)`

Compiler

Compiled 402 to 263 computations (34.6% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-31.791396440508063	-0.0010108404903299533

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes54.0ms (0.8%)

Counts

12 → 3

Calls

Call 1

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

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

Calls

1 calls:

51.0ms

Results

Accuracy	Segments	Branch
99.9%	3	`x`

Compiler

Compiled 80 to 48 computations (40% saved)

bsearch39.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	4.553420236728241e-5	0.10062666289653159
23.0ms	-32047787365305.46	-0.001010840662475721

Results

35.0ms

288×

body

256

valid

Compiler

Compiled 375 to 272 computations (27.5% saved)

regimes19.0ms (0.3%)

Counts

10 → 3

Calls

Call 1

Inputs
(copysign.f64 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 (+.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 (log1p.f64 (fabs.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 1 (fabs.f64 x))) x)

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

Calls

1 calls:

17.0ms

Results

Accuracy	Segments	Branch
99.1%	3	`x`

Compiler

Compiled 64 to 38 computations (40.6% saved)

bsearch60.0ms (0.9%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	0.3125999682740262	59.30039249223242
46.0ms	-32047787365305.46	-0.001010840662475721

Results

56.0ms

272×

body

256

valid

Compiler

Compiled 368 to 264 computations (28.3% saved)

regimes36.0ms (0.6%)

Counts

7 → 3

Calls

Call 1

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

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

Calls

1 calls:

35.0ms

Results

Accuracy	Segments	Branch
99.0%	3	`x`

Compiler

Compiled 42 to 25 computations (40.5% saved)

bsearch37.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	0.3125999682740262	59.30039249223242
24.0ms	-32047787365305.46	-0.001010840662475721

Results

34.0ms

272×

body

256

valid

Compiler

Compiled 340 to 243 computations (28.5% saved)

regimes21.0ms (0.3%)

Counts

6 → 3

Calls

Call 1

Inputs
(copysign.f64 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)

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

Calls

1 calls:

19.0ms

Results

Accuracy	Segments	Branch
98.5%	3	`x`

Compiler

Compiled 33 to 19 computations (42.4% saved)

bsearch34.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	0.3125999682740262	59.30039249223242
21.0ms	-32047787365305.46	-0.001010840662475721

Results

31.0ms

272×

body

256

valid

Compiler

Compiled 238 to 158 computations (33.6% saved)

regimes64.0ms (1%)

Counts

5 → 3

Calls

Call 1

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

Calls

1 calls:

63.0ms

Results

Accuracy	Segments	Branch
82.0%	3	`x`

Compiler

Compiled 27 to 15 computations (44.4% saved)

bsearch35.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	0.3125999682740262	59.30039249223242
21.0ms	-32047787365305.46	-0.001010840662475721

Results

31.0ms

272×

body

256

valid

Compiler

Compiled 228 to 148 computations (35.1% saved)

regimes43.0ms (0.7%)

Counts

4 → 2

Calls

Call 1

Inputs
(copysign.f64 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:

42.0ms

Results

Accuracy	Segments	Branch
67.5%	2	`x`

Compiler

Compiled 21 to 12 computations (42.9% saved)

bsearch21.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
20.0ms	-32047787365305.46	-0.001010840662475721

Results

19.0ms

160×

body

256

valid

Compiler

Compiled 147 to 102 computations (30.6% saved)

regimes6.0ms (0.1%)

Accuracy

Total -4.7b remaining (-19%)

Threshold costs -4.7b (-19%)

Counts

2 → 2

Calls

Call 1

Inputs
(copysign.f64 x x)
(copysign.f64 (log1p.f64 x) x)

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
61.8%	2	`x`

Compiler

Compiled 10 to 5 computations (50% saved)

bsearch15.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	0.3125999682740262	59.30039249223242

Results

13.0ms

112×

body

256

valid

Compiler

Compiled 94 to 61 computations (35.1% saved)

simplify13.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	525
1	89	525
2	91	525
3	92	525

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) -20) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (copysign.f64 (log1p.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1))) x))
(if (<=.f64 x -5854679515581645/4503599627370496) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 4242751136953197/4611686018427387904) (copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)))
(if (<=.f64 x -5854679515581645/4503599627370496) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 1080863910568919/1125899906842624) (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)))
(if (<=.f64 x -5854679515581645/4503599627370496) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 5/4) (copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x) (copysign.f64 (log.f64 (+.f64 x x)) x)))
(if (<=.f64 x -5854679515581645/4503599627370496) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 5/4) (copysign.f64 x x) (copysign.f64 (log.f64 (+.f64 x x)) x)))
(if (<=.f64 x -3602879701896397/1125899906842624) (copysign.f64 (log.f64 (neg.f64 x)) x) (if (<=.f64 x 5/4) (copysign.f64 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 3602879701896397/2251799813685248) (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) -20) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (copysign.f64 (log1p.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1))) x))
(if (<=.f64 x -5854679515581645/4503599627370496) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 4242751136953197/4611686018427387904) (copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)))
(if (<=.f64 x -5854679515581645/4503599627370496) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 4242751136953197/4611686018427387904) (copysign.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)))
(if (<=.f64 x -5854679515581645/4503599627370496) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 1080863910568919/1125899906842624) (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)))
(if (<=.f64 x -5854679515581645/4503599627370496) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 1080863910568919/1125899906842624) (copysign.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) x) (copysign.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))) x)))
(if (<=.f64 x -5854679515581645/4503599627370496) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 5/4) (copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x) (copysign.f64 (log.f64 (+.f64 x x)) x)))
(if (<=.f64 x -5854679515581645/4503599627370496) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 5/4) (copysign.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) x) (copysign.f64 (log.f64 (+.f64 x x)) x)))
(if (<=.f64 x -5854679515581645/4503599627370496) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 5/4) (copysign.f64 x x) (copysign.f64 (log.f64 (+.f64 x x)) x)))
(if (<=.f64 x -3602879701896397/1125899906842624) (copysign.f64 (log.f64 (neg.f64 x)) x) (if (<=.f64 x 5/4) (copysign.f64 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 3602879701896397/2251799813685248) (copysign.f64 x x) (copysign.f64 (log1p.f64 x) x))
(copysign.f64 x x)

Compiler

Compiled 205 to 135 computations (34.1% saved)

soundness875.0ms (13.5%)

Rules

1802×	`fma-def`
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	223	2866
1	593	2444
2	1882	2068
3	7770	2064
0	9	38
1	179	30
2	2314	30
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	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	10	74
1	222	62
2	3217	62

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×	saturated

Compiler

Compiled 880 to 616 computations (30% saved)

end188.0ms (2.9%)

Compiler: Compiled 197 to 113 computations (42.6% saved)