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 14 to 13 computations (7.1% saved)

sample2.0s (5.9%)

Results

986.0ms	2170×	body	2048	valid
524.0ms	4516×	body	256	valid
358.0ms	1066×	body	1024	valid
111.0ms	504×	body	512	valid

Bogosity

preprocess229.0ms (0.7%)

Algorithm

2×

egglog

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

Outputs
(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))

Compiler

Compiled 14 to 13 computations (7.1% saved)

simplify78.0ms (0.2%)

Algorithm

1×

egglog

Counts

1 → 2

Calls

Call 1

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

Outputs
(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))

eval1.0ms (0%)

Compiler: Compiled 23 to 21 computations (8.7% saved)

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

14.2b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	14.2b	(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))

Compiler

Compiled 11 to 10 computations (9.1% saved)

localize44.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))
✓	0.0b	(sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))
✓	0.0b	(/.f64 1/2 (hypot.f64 -1 x))
✓	1.9b	(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))

Compiler

Compiled 38 to 32 computations (15.8% saved)

series85.0ms (0.3%)

Counts

4 → 32

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))
1.0ms	x	@	0	(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))
1.0ms	x	@	-inf	(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))
1.0ms	x	@	-inf	(/.f64 1/2 (hypot.f64 -1 x))
1.0ms	x	@	inf	(sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))

Compiler

Compiled 4050 to 3630 computations (10.4% saved)

rewrite267.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

121×	`egg-rr`
108×	`egg-rr`
106×	`egg-rr`
38×	`egg-rr`

Counts

4 → 373

Calls

Call 1

Inputs
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))
(/.f64 1/2 (hypot.f64 -1 x))
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))
(+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 -1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) (neg.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) (neg.f64 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 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(/.f64 1/2 (hypot.f64 -1 x))) 3))))))

simplify1.1s (3.2%)

Algorithm

1×

egglog

Counts

405 → 571

Calls

Call 1

Inputs
(*.f64 1/8 (pow.f64 x 2))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 69/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4))))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 69/1024 (pow.f64 x 6)) (+.f64 (.f64 -1843/32768 (pow.f64 x 8)) (.f64 -11/128 (pow.f64 x 4)))))
1/2
(+.f64 1/2 (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 3/16 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (+.f64 (.f64 -5/32 (pow.f64 x 6)) (*.f64 3/16 (pow.f64 x 4)))))
(/.f64 1/2 x)
(+.f64 (.f64 -1/4 (pow.f64 (/.f64 1 x) 3)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 -1/4 (pow.f64 (/.f64 1 x) 3)) (+.f64 (.f64 3/16 (pow.f64 (/.f64 1 x) 5)) (*.f64 1/2 (/.f64 1 x))))
(+.f64 (.f64 -1/4 (pow.f64 (/.f64 1 x) 3)) (+.f64 (.f64 -5/32 (pow.f64 (/.f64 1 x) 7)) (+.f64 (.f64 3/16 (pow.f64 (/.f64 1 x) 5)) (.f64 1/2 (/.f64 1 x)))))
(/.f64 -1/2 x)
(-.f64 (.f64 -1/4 (pow.f64 (/.f64 -1 x) 3)) (.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 -1/4 (pow.f64 (/.f64 -1 x) 3)) (.f64 3/16 (pow.f64 (/.f64 -1 x) 5))) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 -1/4 (pow.f64 (/.f64 -1 x) 3)) (+.f64 (.f64 -5/32 (pow.f64 (/.f64 -1 x) 7)) (.f64 3/16 (pow.f64 (/.f64 -1 x) 5)))) (.f64 1/2 (/.f64 1 x)))
1
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) 1)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 1 (.f64 11/128 (pow.f64 x 4))))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 -69/1024 (pow.f64 x 6)) (+.f64 1 (*.f64 11/128 (pow.f64 x 4)))))
1
(+.f64 1 (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 3/16 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (+.f64 (.f64 -5/32 (pow.f64 x 6)) (*.f64 3/16 (pow.f64 x 4)))))
1/2
(+.f64 1/2 (*.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 -1/4 (pow.f64 (/.f64 1 x) 3)) 1/2))
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(*.f64 (+.f64 (cbrt.f64 1/4) (-.f64 (cbrt.f64 (pow.f64 (/.f64 1/2 (hypot.f64 -1 x)) 2)) (cbrt.f64 (/.f64 1/4 (hypot.f64 -1 x))))) (+.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 1/2 (hypot.f64 -1 x)))))
(*.f64 (+.f64 (cbrt.f64 (pow.f64 (/.f64 1/2 (hypot.f64 -1 x)) 2)) (-.f64 (cbrt.f64 1/4) (cbrt.f64 (/.f64 1/4 (hypot.f64 -1 x))))) (+.f64 (cbrt.f64 (/.f64 1/2 (hypot.f64 -1 x))) (cbrt.f64 1/2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))) 2)) (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))
(*.f64 (+.f64 1/8 (pow.f64 (/.f64 1/2 (hypot.f64 -1 x)) 3)) (/.f64 1 (+.f64 1/4 (/.f64 (-.f64 (/.f64 1/4 (hypot.f64 -1 x)) 1/4) (hypot.f64 -1 x)))))
(*.f64 1 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))
(*.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))) 1)
(*.f64 -1 (+.f64 (/.f64 -1/2 (hypot.f64 -1 x)) -1/2))
(*.f64 (/.f64 1 (+.f64 1/4 (/.f64 (-.f64 (/.f64 1/4 (hypot.f64 -1 x)) 1/4) (hypot.f64 -1 x)))) (+.f64 1/8 (pow.f64 (/.f64 1/2 (hypot.f64 -1 x)) 3)))
(*.f64 (+.f64 (/.f64 -1/2 (hypot.f64 -1 x)) -1/2) -1)
(.f64 (.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))) 2) 1/2)
(.f64 (.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))) 1/2) 2)
(.f64 (+.f64 1/8 (pow.f64 (/.f64 1/2 (hypot.f64 -1 x)) 3)) (.f64 (/.f64 1 (+.f64 1/4 (/.f64 (-.f64 (/.f64 1/4 (hypot.f64 -1 x)) 1/4) (hypot.f64 -1 x)))) 1))
(.f64 2 (.f64 -1/2 (+.f64 (/.f64 -1/2 (hypot.f64 -1 x)) -1/2)))
(.f64 -1/2 (.f64 2 (+.f64 (/.f64 -1/2 (hypot.f64 -1 x)) -1/2)))
(.f64 2 (.f64 1/2 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))
(.f64 1/2 (.f64 2 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))
(*.f64 (sqrt.f64 1/2) (+.f64 (/.f64 (sqrt.f64 1/2) (hypot.f64 -1 x)) (sqrt.f64 1/2)))
(*.f64 1/2 (+.f64 (/.f64 1 (hypot.f64 -1 x)) 1))
(*.f64 (cbrt.f64 1/2) (+.f64 (/.f64 (cbrt.f64 1/4) (hypot.f64 -1 x)) (cbrt.f64 1/4)))
(*.f64 (sqrt.f64 1/2) (+.f64 (sqrt.f64 1/2) (/.f64 (sqrt.f64 1/2) (hypot.f64 -1 x))))
(*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 -1 x))))
(*.f64 (cbrt.f64 1/2) (+.f64 (cbrt.f64 1/4) (/.f64 (cbrt.f64 1/4) (hypot.f64 -1 x))))
(*.f64 (+.f64 (/.f64 1 (hypot.f64 -1 x)) 1) 1/2)
(*.f64 (+.f64 (hypot.f64 -1 x) 1) (/.f64 1/2 (hypot.f64 -1 x)))
(*.f64 (+.f64 -1 (neg.f64 (hypot.f64 -1 x))) (/.f64 -1/2 (hypot.f64 -1 x)))
(/.f64 (*.f64 (+.f64 1/512 (pow.f64 (pow.f64 (/.f64 1/2 (hypot.f64 -1 x)) 3) 3)) (/.f64 1 (+.f64 1/4 (/.f64 (-.f64 (/.f64 1/4 (hypot.f64 -1 x)) 1/4) (hypot.f64 -1 x))))) (-.f64 (+.f64 1/64 (pow.f64 (pow.f64 (/.f64 1/2 (hypot.f64 -1 x)) 3) 2)) (pow.f64 (/.f64 1/4 (hypot.f64 -1 x)) 3)))
(/.f64 (/.f64 (+.f64 1/8 (pow.f64 (/.f64 1/2 (hypot.f64 -1 x)) 3)) (cbrt.f64 (+.f64 1/4 (/.f64 (-.f64 (/.f64 1/4 (hypot.f64 -1 x)) 1/4) (hypot.f64 -1 x))))) (pow.f64 (cbrt.f64 (+.f64 1/4 (/.f64 (-.f64 (/.f64 1/4 (hypot.f64 -1 x)) 1/4) (hypot.f64 -1 x)))) 2))
(/.f64 (+.f64 1/512 (pow.f64 (pow.f64 (/.f64 1/2 (hypot.f64 -1 x)) 3) 3)) (*.f64 (+.f64 1/4 (/.f64 (-.f64 (/.f64 1/4 (hypot.f64 -1 x)) 1/4) (hypot.f64 -1 x))) (-.f64 (+.f64 1/64 (pow.f64 (pow.f64 (/.f64 1/2 (hypot.f64 -1 x)) 3) 2)) (pow.f64 (/.f64 1/4 (hypot.f64 -1 x)) 3))))
(/.f64 (+.f64 (pow.f64 (cbrt.f64 (hypot.f64 -1 x)) 2) (.f64 2 (/.f64 1/2 (cbrt.f64 (hypot.f64 -1 x))))) (.f64 2 (pow.f64 (cbrt.f64 (hypot.f64 -1 x)) 2)))
(/.f64 (+.f64 (neg.f64 (pow.f64 (cbrt.f64 (hypot.f64 -1 x)) 2)) (.f64 -2 (/.f64 1/2 (cbrt.f64 (hypot.f64 -1 x))))) (.f64 -2 (pow.f64 (cbrt.f64 (hypot.f64 -1 x)) 2)))
(/.f64 (+.f64 (.f64 (hypot.f64 -1 x) 2) 2) (.f64 2 (*.f64 (hypot.f64 -1 x) 2)))
(/.f64 (+.f64 2 (*.f64 2 (/.f64 1 (hypot.f64 -1 x)))) 4)
(/.f64 (+.f64 -2 (.f64 -2 (/.f64 1 (hypot.f64 -1 x)))) (.f64 -2 2))
(/.f64 (+.f64 (.f64 (/.f64 1/2 (cbrt.f64 (hypot.f64 -1 x))) 2) (pow.f64 (cbrt.f64 (hypot.f64 -1 x)) 2)) (.f64 (pow.f64 (cbrt.f64 (hypot.f64 -1 x)) 2) 2))
(/.f64 (+.f64 2 (.f64 (hypot.f64 -1 x) 2)) (.f64 (*.f64 (hypot.f64 -1 x) 2) 2))
(/.f64 (+.f64 (*.f64 (/.f64 1 (hypot.f64 -1 x)) 2) 2) 4)
(/.f64 (+.f64 (.f64 (/.f64 1/2 (cbrt.f64 (hypot.f64 -1 x))) -2) (.f64 (pow.f64 (cbrt.f64 (hypot.f64 -1 x)) 2) -1)) (*.f64 (pow.f64 (cbrt.f64 (hypot.f64 -1 x)) 2) -2))
(/.f64 (+.f64 (.f64 (/.f64 1 (hypot.f64 -1 x)) -2) -2) (.f64 2 -2))
(/.f64 (+.f64 -1 (neg.f64 (hypot.f64 -1 x))) (*.f64 (hypot.f64 -1 x) -2))
(/.f64 (.f64 (+.f64 1/512 (pow.f64 (pow.f64 (/.f64 1/2 (hypot.f64 -1 x)) 3) 3)) 1) (.f64 (-.f64 (+.f64 1/64 (pow.f64 (pow.f64 (/.f64 1/2 (hypot.f64 -1 x)) 3) 2)) (pow.f64 (/.f64 1/4 (hypot.f64 -1 x)) 3)) (+.f64 1/4 (/.f64 (-.f64 (/.f64 1/4 (hypot.f64 -1 x)) 1/4) (hypot.f64 -1 x)))))
(/.f64 (+.f64 1/8 (pow.f64 (/.f64 1/2 (hypot.f64 -1 x)) 3)) (+.f64 1/4 (/.f64 (-.f64 (/.f64 1/4 (hypot.f64 -1 x)) 1/4) (hypot.f64 -1 x))))
(/.f64 (neg.f64 (+.f64 -1 (neg.f64 (hypot.f64 -1 x)))) (neg.f64 (*.f64 2 (neg.f64 (hypot.f64 -1 x)))))
(/.f64 (+.f64 (neg.f64 (pow.f64 (/.f64 1/2 (hypot.f64 -1 x)) 3)) -1/8) (+.f64 (/.f64 (+.f64 1/4 (/.f64 -1/4 (hypot.f64 -1 x))) (hypot.f64 -1 x)) -1/4))
(/.f64 (+.f64 -1 (neg.f64 (hypot.f64 -1 x))) (*.f64 2 (neg.f64 (hypot.f64 -1 x))))
(/.f64 (+.f64 (hypot.f64 -1 x) 1) (*.f64 (hypot.f64 -1 x) 2))
(/.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))) 1)
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))) 2)) (cbrt.f64 (+.f64 1/8 (pow.f64 (/.f64 1/2 (hypot.f64 -1 x)) 3)))) (cbrt.f64 (+.f64 1/4 (/.f64 (-.f64 (/.f64 1/4 (hypot.f64 -1 x)) 1/4) (hypot.f64 -1 x)))))
(/.f64 (*.f64 (+.f64 (neg.f64 (pow.f64 (/.f64 1/2 (hypot.f64 -1 x)) 3)) -1/8) 1) (+.f64 (/.f64 (+.f64 1/4 (/.f64 -1/4 (hypot.f64 -1 x))) (hypot.f64 -1 x)) -1/4))
(/.f64 (.f64 (+.f64 -1 (neg.f64 (hypot.f64 -1 x))) 1) (.f64 2 (neg.f64 (hypot.f64 -1 x))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1/8 (pow.f64 (/.f64 1/2 (hypot.f64 -1 x)) 3))) (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))) 2))) (cbrt.f64 (+.f64 1/4 (/.f64 (-.f64 (/.f64 1/4 (hypot.f64 -1 x)) 1/4) (hypot.f64 -1 x)))))
(/.f64 (/.f64 (+.f64 (hypot.f64 -1 x) 1) 2) (hypot.f64 -1 x))
(/.f64 (/.f64 (+.f64 -1 (neg.f64 (hypot.f64 -1 x))) 2) (neg.f64 (hypot.f64 -1 x)))
(/.f64 (/.f64 (+.f64 -1 (neg.f64 (hypot.f64 -1 x))) (neg.f64 (hypot.f64 -1 x))) 2)
(/.f64 (/.f64 (+.f64 (hypot.f64 -1 x) 1) (hypot.f64 -1 x)) 2)
(/.f64 (+.f64 1 (/.f64 1 (hypot.f64 -1 x))) 2)
(/.f64 (+.f64 (/.f64 1 (hypot.f64 -1 x)) 1) 2)
(/.f64 (+.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (hypot.f64 -1 x)) 2)) (/.f64 1/2 (cbrt.f64 (hypot.f64 -1 x)))) (pow.f64 (cbrt.f64 (hypot.f64 -1 x)) 2))
(/.f64 (+.f64 (.f64 -1 (.f64 (hypot.f64 -1 x) 2)) -2) (.f64 -2 (.f64 (hypot.f64 -1 x) 2)))
(/.f64 (+.f64 (*.f64 1/2 (neg.f64 (hypot.f64 -1 x))) -1/2) (neg.f64 (hypot.f64 -1 x)))
(/.f64 (+.f64 (*.f64 1/2 (hypot.f64 -1 x)) 1/2) (hypot.f64 -1 x))
(/.f64 (+.f64 -1 (neg.f64 (hypot.f64 -1 x))) (*.f64 -2 (hypot.f64 -1 x)))
(/.f64 (+.f64 (.f64 (/.f64 1/2 (cbrt.f64 (hypot.f64 -1 x))) 1) (.f64 (pow.f64 (cbrt.f64 (hypot.f64 -1 x)) 2) 1/2)) (pow.f64 (cbrt.f64 (hypot.f64 -1 x)) 2))
(/.f64 (+.f64 -1/2 (*.f64 (neg.f64 (hypot.f64 -1 x)) 1/2)) (neg.f64 (hypot.f64 -1 x)))
(/.f64 (+.f64 1/2 (*.f64 (hypot.f64 -1 x) 1/2)) (hypot.f64 -1 x))
(/.f64 (+.f64 -2 (.f64 (.f64 (hypot.f64 -1 x) 2) -1)) (.f64 (.f64 (hypot.f64 -1 x) 2) -2))
(pow.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)
(pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))) 1)
(neg.f64 (+.f64 (/.f64 -1/2 (hypot.f64 -1 x)) -1/2))
(neg.f64 (/.f64 (+.f64 1/8 (pow.f64 (/.f64 1/2 (hypot.f64 -1 x)) 3)) (+.f64 (/.f64 (+.f64 1/4 (/.f64 -1/4 (hypot.f64 -1 x))) (hypot.f64 -1 x)) -1/4)))
(cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))) 3))

Outputs
(*.f64 1/8 (pow.f64 x 2))
(.f64 1/8 (.f64 x x))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))
(fma.f64 1/8 (.f64 x x) (.f64 -11/128 (pow.f64 x 4)))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 69/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4))))
(fma.f64 1/8 (.f64 x x) (fma.f64 69/1024 (pow.f64 x 6) (.f64 -11/128 (pow.f64 x 4))))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 69/1024 (pow.f64 x 6)) (+.f64 (.f64 -1843/32768 (pow.f64 x 8)) (.f64 -11/128 (pow.f64 x 4)))))
(fma.f64 1/8 (.f64 x x) (fma.f64 69/1024 (pow.f64 x 6) (fma.f64 -1843/32768 (pow.f64 x 8) (.f64 -11/128 (pow.f64 x 4)))))
1/2
(+.f64 1/2 (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 1/2 (.f64 -1/4 (.f64 x x)))
(+.f64 1/2 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 3/16 (pow.f64 x 4))))
(+.f64 1/2 (fma.f64 -1/4 (.f64 x x) (.f64 3/16 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (+.f64 (.f64 -5/32 (pow.f64 x 6)) (*.f64 3/16 (pow.f64 x 4)))))
(+.f64 1/2 (fma.f64 -1/4 (.f64 x x) (fma.f64 -5/32 (pow.f64 x 6) (.f64 3/16 (pow.f64 x 4)))))
(/.f64 1/2 x)
(+.f64 (.f64 -1/4 (pow.f64 (/.f64 1 x) 3)) (.f64 1/2 (/.f64 1 x)))
(fma.f64 -1/4 (pow.f64 (/.f64 1 x) 3) (/.f64 1/2 x))
(+.f64 (.f64 -1/4 (pow.f64 (/.f64 1 x) 3)) (+.f64 (.f64 3/16 (pow.f64 (/.f64 1 x) 5)) (*.f64 1/2 (/.f64 1 x))))
(fma.f64 -1/4 (pow.f64 (/.f64 1 x) 3) (fma.f64 3/16 (pow.f64 (/.f64 1 x) 5) (/.f64 1/2 x)))
(+.f64 (.f64 -1/4 (pow.f64 (/.f64 1 x) 3)) (+.f64 (.f64 -5/32 (pow.f64 (/.f64 1 x) 7)) (+.f64 (.f64 3/16 (pow.f64 (/.f64 1 x) 5)) (.f64 1/2 (/.f64 1 x)))))
(fma.f64 -1/4 (pow.f64 (/.f64 1 x) 3) (fma.f64 -5/32 (pow.f64 (/.f64 1 x) 7) (fma.f64 3/16 (pow.f64 (/.f64 1 x) 5) (/.f64 1/2 x))))
(/.f64 -1/2 x)
(-.f64 (.f64 -1/4 (pow.f64 (/.f64 -1 x) 3)) (.f64 1/2 (/.f64 1 x)))
(fma.f64 -1/4 (pow.f64 (/.f64 -1 x) 3) (neg.f64 (/.f64 1/2 x)))
(-.f64 (+.f64 (.f64 -1/4 (pow.f64 (/.f64 -1 x) 3)) (.f64 3/16 (pow.f64 (/.f64 -1 x) 5))) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (fma.f64 -1/4 (pow.f64 (/.f64 -1 x) 3) (*.f64 3/16 (pow.f64 (/.f64 -1 x) 5))) (/.f64 1/2 x))
(-.f64 (+.f64 (.f64 -1/4 (pow.f64 (/.f64 -1 x) 3)) (+.f64 (.f64 -5/32 (pow.f64 (/.f64 -1 x) 7)) (.f64 3/16 (pow.f64 (/.f64 -1 x) 5)))) (.f64 1/2 (/.f64 1 x)))
(-.f64 (fma.f64 -1/4 (pow.f64 (/.f64 -1 x) 3) (fma.f64 -5/32 (pow.f64 (/.f64 -1 x) 7) (*.f64 3/16 (pow.f64 (/.f64 -1 x) 5)))) (/.f64 1/2 x))
1
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) 1)
(fma.f64 -1/8 (*.f64 x x) 1)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 1 (.f64 11/128 (pow.f64 x 4))))
(+.f64 (fma.f64 -1/8 (.f64 x x) 1) (.f64 11/128 (pow.f64 x 4)))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 -69/1024 (pow.f64 x 6)) (+.f64 1 (*.f64 11/128 (pow.f64 x 4)))))
(fma.f64 -1/8 (.f64 x x) (fma.f64 -69/1024 (pow.f64 x 6) (+.f64 1 (.f64 11/128 (pow.f64 x 4)))))
1
(+.f64 1 (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 1 (.f64 -1/4 (.f64 x x)))
(+.f64 1 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 3/16 (pow.f64 x 4))))
(+.f64 1 (fma.f64 -1/4 (.f64 x x) (.f64 3/16 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (+.f64 (.f64 -5/32 (pow.f64 x 6)) (*.f64 3/16 (pow.f64 x 4)))))
(+.f64 1 (fma.f64 -1/4 (.f64 x x) (fma.f64 -5/32 (pow.f64 x 6) (.f64 3/16 (pow.f64 x 4)))))
1/2
(+.f64 1/2 (*.f64 1/2 (/.f64 1 x)))
(+.f64 1/2 (/.f64 1/2 x))
(+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 -1/4 (pow.f64 (/.f64 1 x) 3)) 1/2))
(+.f64 (/.f64 1/2 x) (fma.f64 -1/4 (pow.f64 (/.f64 1 x) 3) 1/2))
(+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 3/16 (pow.f64 (/.f64 1 x) 5)) (+.f64 (*.f64 -1/4 (pow.f64 (/.f64 1 x) 3)) 1/2)))
(+.f64 (fma.f64 3/16 (pow.f64 (/.f64 1 x) 5) (/.f64 1/2 x)) (fma.f64 -1/4 (pow.f64 (/.f64 1 x) 3) 1/2))
1/2
(-.f64 1/2 (*.f64 1/2 (/.f64 1 x)))
(-.f64 1/2 (/.f64 1/2 x))
(-.f64 (+.f64 1/2 (.f64 -1/4 (pow.f64 (/.f64 -1 x) 3))) (.f64 1/2 (/.f64 1 x)))
(+.f64 1/2 (fma.f64 -1/4 (pow.f64 (/.f64 -1 x) 3) (neg.f64 (/.f64 1/2 x))))
(-.f64 (+.f64 1/2 (+.f64 (.f64 -1/4 (pow.f64 (/.f64 -1 x) 3)) (.f64 3/16 (pow.f64 (/.f64 -1 x) 5)))) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 1/2 (fma.f64 -1/4 (pow.f64 (/.f64 -1 x) 3) (*.f64 3/16 (pow.f64 (/.f64 -1 x) 5)))) (/.f64 1/2 x))
(fma.f64 1 1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))
(-.f64 1 (sqrt.f64 (+.f64 (/.f64 1/2 (hypot.f64 -1 x)) 1/2)))
(fma.f64 -1 -1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))
(fma.f64 -1 -1 (neg.f64 (sqrt.f64 (+.f64 (/.f64 1/2 (hypot.f64 -1 x)) 1/2))))
(fma.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) (neg.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 2)) 1)
(fma.f64 (cbrt.f64 (sqrt.f64 (+.f64 (/.f64 1/2 (hypot.f64 -1 x)) 1/2))) (neg.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 (/.f64 1/2 (hypot.f64 -1 x)) 1/2))) 2)) 1)
(fma.f64 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) (neg.f64 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) 1)
(fma.f64 (sqrt.f64 (sqrt.f64 (+.f64 (/.f64 1/2 (hypot.f64 -1 x)) 1/2))) (neg.f64 (sqrt.f64 (sqrt.f64 (+.f64 (/.f64 1/2 (hypot.f64 -1 x)) 1/2)))) 1)
(fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 2) 1)
(fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (+.f64 (/.f64 1/2 (hypot.f64 -1 x)) 1/2)))) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 (/.f64 1/2 (hypot.f64 -1 x)) 1/2))) 2) 1)
(fma.f64 1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1)
(-.f64 1 (sqrt.f64 (+.f64 (/.f64 1/2 (hypot.f64 -1 x)) 1/2)))
(fma.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 1)
(-.f64 1 (sqrt.f64 (+.f64 (/.f64 1/2 (hypot.f64 -1 x)) 1/2)))
(fma.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1)
(fma.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (+.f64 (/.f64 1/2 (hypot.f64 -1 x)) 1/2)))) (sqrt.f64 (sqrt.f64 (+.f64 (/.f64 1/2 (hypot.f64 -1 x)) 1/2))) 1)
(fma.f64 1/2 2 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))
(fma.f64 1/2 2 (neg.f64 (sqrt.f64 (+.f64 (/.f64 1/2 (hypot.f64 -1 x)) 1/2))))
(fma.f64 2 1/2 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))
(fma.f64 2 1/2 (neg.f64 (sqrt.f64 (+.f64 (/.f64 1/2 (hypot.f64 -1 x)) 1/2))))
(fma.f64 0 3 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))
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(+.f64 (/.f64 1/2 (hypot.f64 -1 x)) 1/2)
(*.f64 -1 (+.f64 (/.f64 -1/2 (hypot.f64 -1 x)) -1/2))
(neg.f64 (+.f64 (/.f64 -1/2 (hypot.f64 -1 x)) -1/2))
(*.f64 (/.f64 1 (+.f64 1/4 (/.f64 (-.f64 (/.f64 1/4 (hypot.f64 -1 x)) 1/4) (hypot.f64 -1 x)))) (+.f64 1/8 (pow.f64 (/.f64 1/2 (hypot.f64 -1 x)) 3)))
(/.f64 (+.f64 1/8 (pow.f64 (/.f64 1/2 (hypot.f64 -1 x)) 3)) (+.f64 1/4 (/.f64 (-.f64 (/.f64 1/4 (hypot.f64 -1 x)) 1/4) (hypot.f64 -1 x))))
(*.f64 (+.f64 (/.f64 -1/2 (hypot.f64 -1 x)) -1/2) -1)
(neg.f64 (+.f64 (/.f64 -1/2 (hypot.f64 -1 x)) -1/2))
(.f64 (.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))) 2) 1/2)
(.f64 (.f64 1/2 2) (+.f64 (/.f64 1/2 (hypot.f64 -1 x)) 1/2))
(.f64 (.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))) 1/2) 2)
(.f64 (.f64 2 1/2) (+.f64 (/.f64 1/2 (hypot.f64 -1 x)) 1/2))
(.f64 (+.f64 1/8 (pow.f64 (/.f64 1/2 (hypot.f64 -1 x)) 3)) (.f64 (/.f64 1 (+.f64 1/4 (/.f64 (-.f64 (/.f64 1/4 (hypot.f64 -1 x)) 1/4) (hypot.f64 -1 x)))) 1))
(/.f64 (+.f64 1/8 (pow.f64 (/.f64 1/2 (hypot.f64 -1 x)) 3)) (+.f64 1/4 (/.f64 (-.f64 (/.f64 1/4 (hypot.f64 -1 x)) 1/4) (hypot.f64 -1 x))))
(.f64 2 (.f64 -1/2 (+.f64 (/.f64 -1/2 (hypot.f64 -1 x)) -1/2)))
(.f64 (.f64 -1/2 (+.f64 (/.f64 -1/2 (hypot.f64 -1 x)) -1/2)) 2)
(.f64 -1/2 (.f64 2 (+.f64 (/.f64 -1/2 (hypot.f64 -1 x)) -1/2)))
(.f64 2 (.f64 1/2 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))
(.f64 (.f64 2 1/2) (+.f64 (/.f64 1/2 (hypot.f64 -1 x)) 1/2))
(.f64 1/2 (.f64 2 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))
(.f64 (.f64 1/2 2) (+.f64 (/.f64 1/2 (hypot.f64 -1 x)) 1/2))
(*.f64 (sqrt.f64 1/2) (+.f64 (/.f64 (sqrt.f64 1/2) (hypot.f64 -1 x)) (sqrt.f64 1/2)))
(+.f64 (/.f64 1/2 (hypot.f64 -1 x)) 1/2)
(*.f64 1/2 (+.f64 (/.f64 1 (hypot.f64 -1 x)) 1))
(+.f64 (/.f64 1/2 (hypot.f64 -1 x)) 1/2)
(*.f64 (cbrt.f64 1/2) (+.f64 (/.f64 (cbrt.f64 1/4) (hypot.f64 -1 x)) (cbrt.f64 1/4)))
(*.f64 (sqrt.f64 1/2) (+.f64 (sqrt.f64 1/2) (/.f64 (sqrt.f64 1/2) (hypot.f64 -1 x))))
(+.f64 (/.f64 1/2 (hypot.f64 -1 x)) 1/2)
(*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 -1 x))))
(+.f64 (/.f64 1/2 (hypot.f64 -1 x)) 1/2)
(*.f64 (cbrt.f64 1/2) (+.f64 (cbrt.f64 1/4) (/.f64 (cbrt.f64 1/4) (hypot.f64 -1 x))))
(*.f64 (cbrt.f64 1/2) (+.f64 (/.f64 (cbrt.f64 1/4) (hypot.f64 -1 x)) (cbrt.f64 1/4)))
(*.f64 (+.f64 (/.f64 1 (hypot.f64 -1 x)) 1) 1/2)
(+.f64 (/.f64 1/2 (hypot.f64 -1 x)) 1/2)
(*.f64 (+.f64 (hypot.f64 -1 x) 1) (/.f64 1/2 (hypot.f64 -1 x)))
(/.f64 (fma.f64 1/2 (hypot.f64 -1 x) 1/2) (hypot.f64 -1 x))
(*.f64 (+.f64 -1 (neg.f64 (hypot.f64 -1 x))) (/.f64 -1/2 (hypot.f64 -1 x)))
(/.f64 (*.f64 (-.f64 -1 (hypot.f64 -1 x)) -1/2) (hypot.f64 -1 x))
(/.f64 (*.f64 (+.f64 1/512 (pow.f64 (pow.f64 (/.f64 1/2 (hypot.f64 -1 x)) 3) 3)) (/.f64 1 (+.f64 1/4 (/.f64 (-.f64 (/.f64 1/4 (hypot.f64 -1 x)) 1/4) (hypot.f64 -1 x))))) (-.f64 (+.f64 1/64 (pow.f64 (pow.f64 (/.f64 1/2 (hypot.f64 -1 x)) 3) 2)) (pow.f64 (/.f64 1/4 (hypot.f64 -1 x)) 3)))
(/.f64 (+.f64 1/512 (pow.f64 (pow.f64 (/.f64 1/2 (hypot.f64 -1 x)) 3) 3)) (*.f64 (+.f64 1/4 (/.f64 (-.f64 (/.f64 1/4 (hypot.f64 -1 x)) 1/4) (hypot.f64 -1 x))) (-.f64 (+.f64 1/64 (pow.f64 (pow.f64 (/.f64 1/2 (hypot.f64 -1 x)) 3) 2)) (pow.f64 (/.f64 1/4 (hypot.f64 -1 x)) 3))))
(/.f64 (/.f64 (+.f64 1/8 (pow.f64 (/.f64 1/2 (hypot.f64 -1 x)) 3)) (cbrt.f64 (+.f64 1/4 (/.f64 (-.f64 (/.f64 1/4 (hypot.f64 -1 x)) 1/4) (hypot.f64 -1 x))))) (pow.f64 (cbrt.f64 (+.f64 1/4 (/.f64 (-.f64 (/.f64 1/4 (hypot.f64 -1 x)) 1/4) (hypot.f64 -1 x)))) 2))
(/.f64 (+.f64 1/512 (pow.f64 (pow.f64 (/.f64 1/2 (hypot.f64 -1 x)) 3) 3)) (*.f64 (+.f64 1/4 (/.f64 (-.f64 (/.f64 1/4 (hypot.f64 -1 x)) 1/4) (hypot.f64 -1 x))) (-.f64 (+.f64 1/64 (pow.f64 (pow.f64 (/.f64 1/2 (hypot.f64 -1 x)) 3) 2)) (pow.f64 (/.f64 1/4 (hypot.f64 -1 x)) 3))))
(/.f64 (+.f64 (pow.f64 (cbrt.f64 (hypot.f64 -1 x)) 2) (.f64 2 (/.f64 1/2 (cbrt.f64 (hypot.f64 -1 x))))) (.f64 2 (pow.f64 (cbrt.f64 (hypot.f64 -1 x)) 2)))
(/.f64 (fma.f64 (/.f64 1/2 (cbrt.f64 (hypot.f64 -1 x))) 2 (pow.f64 (cbrt.f64 (hypot.f64 -1 x)) 2)) (*.f64 2 (pow.f64 (cbrt.f64 (hypot.f64 -1 x)) 2)))
(/.f64 (+.f64 (neg.f64 (pow.f64 (cbrt.f64 (hypot.f64 -1 x)) 2)) (.f64 -2 (/.f64 1/2 (cbrt.f64 (hypot.f64 -1 x))))) (.f64 -2 (pow.f64 (cbrt.f64 (hypot.f64 -1 x)) 2)))
(/.f64 (fma.f64 (/.f64 1/2 (cbrt.f64 (hypot.f64 -1 x))) -2 (neg.f64 (pow.f64 (cbrt.f64 (hypot.f64 -1 x)) 2))) (*.f64 (pow.f64 (cbrt.f64 (hypot.f64 -1 x)) 2) -2))
(/.f64 (+.f64 (.f64 (hypot.f64 -1 x) 2) 2) (.f64 2 (*.f64 (hypot.f64 -1 x) 2)))
(/.f64 (fma.f64 (hypot.f64 -1 x) 2 2) (.f64 2 (.f64 (hypot.f64 -1 x) 2)))
(/.f64 (+.f64 2 (*.f64 2 (/.f64 1 (hypot.f64 -1 x)))) 4)
(/.f64 (+.f64 2 (/.f64 2 (hypot.f64 -1 x))) 4)
(/.f64 (+.f64 -2 (.f64 -2 (/.f64 1 (hypot.f64 -1 x)))) (.f64 -2 2))
(/.f64 (+.f64 -2 (/.f64 -2 (hypot.f64 -1 x))) -4)
(/.f64 (+.f64 (.f64 (/.f64 1/2 (cbrt.f64 (hypot.f64 -1 x))) 2) (pow.f64 (cbrt.f64 (hypot.f64 -1 x)) 2)) (.f64 (pow.f64 (cbrt.f64 (hypot.f64 -1 x)) 2) 2))
(/.f64 (fma.f64 (/.f64 1/2 (cbrt.f64 (hypot.f64 -1 x))) 2 (pow.f64 (cbrt.f64 (hypot.f64 -1 x)) 2)) (*.f64 2 (pow.f64 (cbrt.f64 (hypot.f64 -1 x)) 2)))
(/.f64 (+.f64 2 (.f64 (hypot.f64 -1 x) 2)) (.f64 (*.f64 (hypot.f64 -1 x) 2) 2))
(/.f64 (fma.f64 (hypot.f64 -1 x) 2 2) (.f64 2 (.f64 (hypot.f64 -1 x) 2)))
(/.f64 (+.f64 (*.f64 (/.f64 1 (hypot.f64 -1 x)) 2) 2) 4)
(/.f64 (+.f64 2 (/.f64 2 (hypot.f64 -1 x))) 4)
(/.f64 (+.f64 (.f64 (/.f64 1/2 (cbrt.f64 (hypot.f64 -1 x))) -2) (.f64 (pow.f64 (cbrt.f64 (hypot.f64 -1 x)) 2) -1)) (*.f64 (pow.f64 (cbrt.f64 (hypot.f64 -1 x)) 2) -2))
(/.f64 (fma.f64 (/.f64 1/2 (cbrt.f64 (hypot.f64 -1 x))) -2 (neg.f64 (pow.f64 (cbrt.f64 (hypot.f64 -1 x)) 2))) (*.f64 (pow.f64 (cbrt.f64 (hypot.f64 -1 x)) 2) -2))
(/.f64 (+.f64 (.f64 (/.f64 1 (hypot.f64 -1 x)) -2) -2) (.f64 2 -2))
(/.f64 (+.f64 -2 (/.f64 -2 (hypot.f64 -1 x))) -4)
(/.f64 (+.f64 -1 (neg.f64 (hypot.f64 -1 x))) (*.f64 (hypot.f64 -1 x) -2))
(/.f64 (-.f64 -1 (hypot.f64 -1 x)) (*.f64 (hypot.f64 -1 x) -2))
(/.f64 (.f64 (+.f64 1/512 (pow.f64 (pow.f64 (/.f64 1/2 (hypot.f64 -1 x)) 3) 3)) 1) (.f64 (-.f64 (+.f64 1/64 (pow.f64 (pow.f64 (/.f64 1/2 (hypot.f64 -1 x)) 3) 2)) (pow.f64 (/.f64 1/4 (hypot.f64 -1 x)) 3)) (+.f64 1/4 (/.f64 (-.f64 (/.f64 1/4 (hypot.f64 -1 x)) 1/4) (hypot.f64 -1 x)))))
(/.f64 (+.f64 1/512 (pow.f64 (pow.f64 (/.f64 1/2 (hypot.f64 -1 x)) 3) 3)) (*.f64 (+.f64 1/4 (/.f64 (-.f64 (/.f64 1/4 (hypot.f64 -1 x)) 1/4) (hypot.f64 -1 x))) (-.f64 (+.f64 1/64 (pow.f64 (pow.f64 (/.f64 1/2 (hypot.f64 -1 x)) 3) 2)) (pow.f64 (/.f64 1/4 (hypot.f64 -1 x)) 3))))
(/.f64 (+.f64 1/8 (pow.f64 (/.f64 1/2 (hypot.f64 -1 x)) 3)) (+.f64 1/4 (/.f64 (-.f64 (/.f64 1/4 (hypot.f64 -1 x)) 1/4) (hypot.f64 -1 x))))
(/.f64 (neg.f64 (+.f64 -1 (neg.f64 (hypot.f64 -1 x)))) (neg.f64 (*.f64 2 (neg.f64 (hypot.f64 -1 x)))))
(/.f64 (-.f64 -1 (hypot.f64 -1 x)) (*.f64 (neg.f64 (hypot.f64 -1 x)) 2))
(/.f64 (+.f64 (neg.f64 (pow.f64 (/.f64 1/2 (hypot.f64 -1 x)) 3)) -1/8) (+.f64 (/.f64 (+.f64 1/4 (/.f64 -1/4 (hypot.f64 -1 x))) (hypot.f64 -1 x)) -1/4))
(/.f64 (+.f64 -1 (neg.f64 (hypot.f64 -1 x))) (*.f64 2 (neg.f64 (hypot.f64 -1 x))))
(/.f64 (-.f64 -1 (hypot.f64 -1 x)) (*.f64 (neg.f64 (hypot.f64 -1 x)) 2))
(/.f64 (+.f64 (hypot.f64 -1 x) 1) (*.f64 (hypot.f64 -1 x) 2))
(/.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))) 1)
(+.f64 (/.f64 1/2 (hypot.f64 -1 x)) 1/2)
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))) 2)) (cbrt.f64 (+.f64 1/8 (pow.f64 (/.f64 1/2 (hypot.f64 -1 x)) 3)))) (cbrt.f64 (+.f64 1/4 (/.f64 (-.f64 (/.f64 1/4 (hypot.f64 -1 x)) 1/4) (hypot.f64 -1 x)))))
(/.f64 (cbrt.f64 (*.f64 (+.f64 1/8 (pow.f64 (/.f64 1/2 (hypot.f64 -1 x)) 3)) (pow.f64 (+.f64 (/.f64 1/2 (hypot.f64 -1 x)) 1/2) 2))) (cbrt.f64 (+.f64 1/4 (/.f64 (-.f64 (/.f64 1/4 (hypot.f64 -1 x)) 1/4) (hypot.f64 -1 x)))))
(/.f64 (*.f64 (+.f64 (neg.f64 (pow.f64 (/.f64 1/2 (hypot.f64 -1 x)) 3)) -1/8) 1) (+.f64 (/.f64 (+.f64 1/4 (/.f64 -1/4 (hypot.f64 -1 x))) (hypot.f64 -1 x)) -1/4))
(/.f64 (+.f64 (neg.f64 (pow.f64 (/.f64 1/2 (hypot.f64 -1 x)) 3)) -1/8) (+.f64 (/.f64 (+.f64 1/4 (/.f64 -1/4 (hypot.f64 -1 x))) (hypot.f64 -1 x)) -1/4))
(/.f64 (.f64 (+.f64 -1 (neg.f64 (hypot.f64 -1 x))) 1) (.f64 2 (neg.f64 (hypot.f64 -1 x))))
(/.f64 (-.f64 -1 (hypot.f64 -1 x)) (*.f64 (neg.f64 (hypot.f64 -1 x)) 2))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1/8 (pow.f64 (/.f64 1/2 (hypot.f64 -1 x)) 3))) (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))) 2))) (cbrt.f64 (+.f64 1/4 (/.f64 (-.f64 (/.f64 1/4 (hypot.f64 -1 x)) 1/4) (hypot.f64 -1 x)))))
(/.f64 (cbrt.f64 (*.f64 (+.f64 1/8 (pow.f64 (/.f64 1/2 (hypot.f64 -1 x)) 3)) (pow.f64 (+.f64 (/.f64 1/2 (hypot.f64 -1 x)) 1/2) 2))) (cbrt.f64 (+.f64 1/4 (/.f64 (-.f64 (/.f64 1/4 (hypot.f64 -1 x)) 1/4) (hypot.f64 -1 x)))))
(/.f64 (/.f64 (+.f64 (hypot.f64 -1 x) 1) 2) (hypot.f64 -1 x))
(/.f64 (+.f64 (hypot.f64 -1 x) 1) (*.f64 (hypot.f64 -1 x) 2))
(/.f64 (/.f64 (+.f64 -1 (neg.f64 (hypot.f64 -1 x))) 2) (neg.f64 (hypot.f64 -1 x)))
(/.f64 (-.f64 -1 (hypot.f64 -1 x)) (*.f64 (neg.f64 (hypot.f64 -1 x)) 2))
(/.f64 (/.f64 (+.f64 -1 (neg.f64 (hypot.f64 -1 x))) (neg.f64 (hypot.f64 -1 x))) 2)
(/.f64 (-.f64 -1 (hypot.f64 -1 x)) (*.f64 (neg.f64 (hypot.f64 -1 x)) 2))
(/.f64 (/.f64 (+.f64 (hypot.f64 -1 x) 1) (hypot.f64 -1 x)) 2)
(/.f64 (+.f64 (hypot.f64 -1 x) 1) (*.f64 (hypot.f64 -1 x) 2))
(/.f64 (+.f64 1 (/.f64 1 (hypot.f64 -1 x))) 2)
(/.f64 (+.f64 (/.f64 1 (hypot.f64 -1 x)) 1) 2)
(/.f64 (+.f64 (/.f64 1 (hypot.f64 -1 x)) 1) 2)
(/.f64 (+.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 (hypot.f64 -1 x)) 2)) (/.f64 1/2 (cbrt.f64 (hypot.f64 -1 x)))) (pow.f64 (cbrt.f64 (hypot.f64 -1 x)) 2))
(/.f64 (fma.f64 1/2 (pow.f64 (cbrt.f64 (hypot.f64 -1 x)) 2) (/.f64 1/2 (cbrt.f64 (hypot.f64 -1 x)))) (pow.f64 (cbrt.f64 (hypot.f64 -1 x)) 2))
(/.f64 (+.f64 (.f64 -1 (.f64 (hypot.f64 -1 x) 2)) -2) (.f64 -2 (.f64 (hypot.f64 -1 x) 2)))
(/.f64 (+.f64 (.f64 (neg.f64 (hypot.f64 -1 x)) 2) -2) (.f64 (hypot.f64 -1 x) -4))
(/.f64 (+.f64 (*.f64 1/2 (neg.f64 (hypot.f64 -1 x))) -1/2) (neg.f64 (hypot.f64 -1 x)))
(/.f64 (fma.f64 1/2 (neg.f64 (hypot.f64 -1 x)) -1/2) (neg.f64 (hypot.f64 -1 x)))
(/.f64 (+.f64 (*.f64 1/2 (hypot.f64 -1 x)) 1/2) (hypot.f64 -1 x))
(/.f64 (fma.f64 1/2 (hypot.f64 -1 x) 1/2) (hypot.f64 -1 x))
(/.f64 (+.f64 -1 (neg.f64 (hypot.f64 -1 x))) (*.f64 -2 (hypot.f64 -1 x)))
(/.f64 (-.f64 -1 (hypot.f64 -1 x)) (*.f64 (hypot.f64 -1 x) -2))
(/.f64 (+.f64 (.f64 (/.f64 1/2 (cbrt.f64 (hypot.f64 -1 x))) 1) (.f64 (pow.f64 (cbrt.f64 (hypot.f64 -1 x)) 2) 1/2)) (pow.f64 (cbrt.f64 (hypot.f64 -1 x)) 2))
(/.f64 (fma.f64 1/2 (pow.f64 (cbrt.f64 (hypot.f64 -1 x)) 2) (/.f64 1/2 (cbrt.f64 (hypot.f64 -1 x)))) (pow.f64 (cbrt.f64 (hypot.f64 -1 x)) 2))
(/.f64 (+.f64 -1/2 (*.f64 (neg.f64 (hypot.f64 -1 x)) 1/2)) (neg.f64 (hypot.f64 -1 x)))
(/.f64 (fma.f64 1/2 (neg.f64 (hypot.f64 -1 x)) -1/2) (neg.f64 (hypot.f64 -1 x)))
(/.f64 (+.f64 1/2 (*.f64 (hypot.f64 -1 x) 1/2)) (hypot.f64 -1 x))
(/.f64 (fma.f64 1/2 (hypot.f64 -1 x) 1/2) (hypot.f64 -1 x))
(/.f64 (+.f64 -2 (.f64 (.f64 (hypot.f64 -1 x) 2) -1)) (.f64 (.f64 (hypot.f64 -1 x) 2) -2))
(/.f64 (+.f64 (.f64 (neg.f64 (hypot.f64 -1 x)) 2) -2) (.f64 (hypot.f64 -1 x) -4))
(pow.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))) 3) 1/3)
(+.f64 (/.f64 1/2 (hypot.f64 -1 x)) 1/2)
(pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)
(+.f64 (/.f64 1/2 (hypot.f64 -1 x)) 1/2)
(pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))) 1)
(+.f64 (/.f64 1/2 (hypot.f64 -1 x)) 1/2)
(neg.f64 (+.f64 (/.f64 -1/2 (hypot.f64 -1 x)) -1/2))
(neg.f64 (/.f64 (+.f64 1/8 (pow.f64 (/.f64 1/2 (hypot.f64 -1 x)) 3)) (+.f64 (/.f64 (+.f64 1/4 (/.f64 -1/4 (hypot.f64 -1 x))) (hypot.f64 -1 x)) -1/4)))
(/.f64 (neg.f64 (+.f64 1/8 (pow.f64 (/.f64 1/2 (hypot.f64 -1 x)) 3))) (+.f64 (/.f64 (+.f64 1/4 (/.f64 -1/4 (hypot.f64 -1 x))) (hypot.f64 -1 x)) -1/4))
(cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))) 3))
(+.f64 (/.f64 1/2 (hypot.f64 -1 x)) 1/2)

eval418.0ms (1.2%)

Compiler: Compiled 16352 to 14834 computations (9.3% saved)

prune137.0ms (0.4%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	556	15	571
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	556	16	572

Error

0.0b

Counts

572 → 16

Alt Table

Click to see full alt table

Status	Error	Program
	29.6b	(fma.f64 1/8 (.f64 x x) (.f64 -11/128 (pow.f64 x 4)))
	14.2b	(pow.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 3) 1/3)
	14.8b	(pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) 3)
	14.2b	(/.f64 (-.f64 1 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 (/.f64 1/2 (hypot.f64 -1 x)) 1/2)) 3) 3)) (*.f64 (fma.f64 (+.f64 1 (sqrt.f64 (+.f64 (/.f64 1/2 (hypot.f64 -1 x)) 1/2))) (sqrt.f64 (+.f64 (/.f64 1/2 (hypot.f64 -1 x)) 1/2)) 1) (+.f64 (+.f64 1 (pow.f64 (sqrt.f64 (+.f64 (/.f64 1/2 (hypot.f64 -1 x)) 1/2)) 6)) (pow.f64 (sqrt.f64 (+.f64 (/.f64 1/2 (hypot.f64 -1 x)) 1/2)) 3))))
	13.8b	(/.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 (/.f64 1/2 (hypot.f64 -1 x)) 1/2)) 6)) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 (/.f64 1/2 (hypot.f64 -1 x)) 1/2))) (+.f64 (+.f64 1 (pow.f64 (sqrt.f64 (+.f64 (/.f64 1/2 (hypot.f64 -1 x)) 1/2)) 4)) (pow.f64 (sqrt.f64 (+.f64 (/.f64 1/2 (hypot.f64 -1 x)) 1/2)) 2))))
	14.2b	(-.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (/.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))))
	42.7b	(-.f64 1 (fma.f64 -1/8 (*.f64 x x) 1))
▶	35.3b	(-.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 1/2 x))))
✓	14.2b	(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))
	35.5b	(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
▶	42.8b	(-.f64 1 1)
▶	13.8b	(*.f64 (/.f64 1 (fma.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 1)) (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)))
▶	14.2b	(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2)))
	14.5b	(*.f64 (-.f64 1 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (+.f64 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1))
	29.0b	(.f64 1/8 (.f64 x x))
▶	14.5b	(cbrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 3))

Compiler

Compiled 651 to 588 computations (9.7% saved)

localize54.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (/.f64 1 (fma.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 1)) (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)))
✓	0.4b	(/.f64 1 (fma.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 1))
✓	0.5b	(pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)
✓	1.4b	(-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3))

Compiler

Compiled 138 to 123 computations (10.9% saved)

series298.0ms (0.9%)

Counts

4 → 15

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	(*.f64 (/.f64 1 (fma.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 1)) (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)))
4.0ms	x	@	inf	(/.f64 1 (fma.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 1))
2.0ms	x	@	-inf	(/.f64 1 (fma.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 1))
2.0ms	x	@	-inf	(*.f64 (/.f64 1 (fma.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 1)) (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)))
2.0ms	x	@	inf	(-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3))

Compiler

Compiled 30060 to 29600 computations (1.5% saved)

rewrite299.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

156×	`egg-rr`
90×	`egg-rr`
56×	`egg-rr`
36×	`egg-rr`

Counts

4 → 338

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 -1 (neg.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 1 (neg.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 1/2 (neg.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 2 (neg.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (neg.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2) (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (neg.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 0 0 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 0 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 0 1 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 0 3 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 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2) 0) (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3) 3))) (/.f64 (+.f64 (+.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)) (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)) (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3) 3))) 2))) (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 (neg.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)) 1) 0) (/.f64 (+.f64 -1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)) (-.f64 (neg.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)) 1)) (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)) 0) (/.f64 (-.f64 1 (pow.f64 (sqrt.f64 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(fma.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 3))))))

simplify1.1s (3.3%)

Algorithm

1×

egglog

Counts

353 → 451

Calls

Call 1

Inputs
(*.f64 3/8 (pow.f64 x 2))
(+.f64 (.f64 3/8 (pow.f64 x 2)) (.f64 -39/128 (pow.f64 x 4)))
(+.f64 (.f64 275/1024 (pow.f64 x 6)) (+.f64 (.f64 3/8 (pow.f64 x 2)) (*.f64 -39/128 (pow.f64 x 4))))
(+.f64 (.f64 275/1024 (pow.f64 x 6)) (+.f64 (.f64 3/8 (pow.f64 x 2)) (+.f64 (.f64 -39/128 (pow.f64 x 4)) (.f64 -8043/32768 (pow.f64 x 8)))))
1
(+.f64 1 (*.f64 -3/8 (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 -3/8 (pow.f64 x 2)) (.f64 39/128 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 -275/1024 (pow.f64 x 6)) (+.f64 (.f64 -3/8 (pow.f64 x 2)) (*.f64 39/128 (pow.f64 x 4)))))
1/3
(+.f64 1/3 (+.f64 (.f64 1/24 (pow.f64 x 2)) (.f64 -29/1152 (pow.f64 x 4))))
(+.f64 1/3 (+.f64 (.f64 55/3072 (pow.f64 x 6)) (+.f64 (.f64 1/24 (pow.f64 x 2)) (*.f64 -29/1152 (pow.f64 x 4)))))
(*.f64 1/8 (pow.f64 x 2))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 69/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4))))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 69/1024 (pow.f64 x 6)) (+.f64 (.f64 -1843/32768 (pow.f64 x 8)) (.f64 -11/128 (pow.f64 x 4)))))
(fma.f64 -1 -1 (neg.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)))
(fma.f64 1 1 (neg.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)))
(fma.f64 2 1/2 (neg.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)))
(fma.f64 1/2 2 (neg.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)))
(fma.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2) 1)
(fma.f64 (neg.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 1)
(fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (neg.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2)) 1)
(fma.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2) (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1)
(fma.f64 1 (neg.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)) 1)
(fma.f64 0 0 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)))
(fma.f64 1 0 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)))
(fma.f64 0 1 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)))
(fma.f64 0 3 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)))
(fma.f64 -1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3) 1)
(if (!=.f64 1 0) (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)) (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)))
(if (!=.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3) 0) (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)) (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)))
(if (!=.f64 (neg.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)) 0) (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)) (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)))
(if (!=.f64 (-.f64 1 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3) 3)) 0) (/.f64 1 (/.f64 (+.f64 (+.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)) (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)) (-.f64 1 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3) 3)))) (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)))
(if (!=.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)) 0) (/.f64 (+.f64 (+.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)) (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)) (/.f64 (+.f64 (+.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)) (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)) (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)))) (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)))
(if (!=.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3) 3))) 2) 0) (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3) 3))) (/.f64 (+.f64 (+.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)) (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)) (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3) 3))) 2))) (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)))
(if (!=.f64 (-.f64 (neg.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)) 1) 0) (/.f64 (+.f64 -1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)) (-.f64 (neg.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)) 1)) (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)))
(if (!=.f64 (+.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)) 0) (/.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)) (+.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3))) (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)))
(if (!=.f64 (+.f64 0 (+.f64 -1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3))) 0) (/.f64 (-.f64 0 (pow.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)) 2)) (+.f64 0 (+.f64 -1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)))) (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)))
(if (!=.f64 (+.f64 (/.f64 1 (+.f64 (+.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)) (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3))) (/.f64 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3) 3) (+.f64 (+.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)) (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)))) 0) (/.f64 (-.f64 (.f64 (/.f64 1 (+.f64 (+.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)) (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3))) (/.f64 1 (+.f64 (+.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)) (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)))) (.f64 (/.f64 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3) 3) (+.f64 (+.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)) (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3))) (/.f64 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3) 3) (+.f64 (+.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)) (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3))))) (+.f64 (/.f64 1 (+.f64 (+.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)) (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3))) (/.f64 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3) 3) (+.f64 (+.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)) (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3))))) (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)))
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(/.f64 (/.f64 (/.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)) (cbrt.f64 (fma.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 1))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 1))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 1))) 2) 2))
(/.f64 (/.f64 (/.f64 (-.f64 1 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3) 3)) (fma.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 1)) 1) (+.f64 (+.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)) (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)))
(/.f64 (/.f64 (/.f64 (-.f64 1 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3) 3)) (fma.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 1)) (cbrt.f64 (+.f64 (+.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)) (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)))) (pow.f64 (cbrt.f64 (+.f64 (+.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)) (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3))) 2))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)) -1) (neg.f64 (fma.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 1)))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3) 3)) (/.f64 (*.f64 (fma.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 1) (+.f64 (+.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)) (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3))) 1))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3) 3)) (/.f64 (neg.f64 (*.f64 (fma.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 1) (+.f64 (+.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)) (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)))) -1))
(/.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)) (*.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (+.f64 1 (+.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 4) (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2)))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3) 3) 3)) (.f64 (.f64 (fma.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 1) (+.f64 (+.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)) (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3))) (+.f64 1 (+.f64 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6) 3) (pow.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3) 3)))))
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3) 3)) (*.f64 (fma.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 1) (neg.f64 (+.f64 (+.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)) (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)))))
(/.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)) (+.f64 1 (-.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2) (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))))
(/.f64 (-.f64 (neg.f64 (fma.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 1)) (.f64 (neg.f64 (fma.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 1)) (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3))) (.f64 (neg.f64 (fma.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 1)) (fma.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 1)))
(/.f64 (-.f64 (fma.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 1) (*.f64 (fma.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 1) (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3))) (pow.f64 (fma.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 1) 2))
(/.f64 (-.f64 (.f64 (cbrt.f64 (/.f64 1 (fma.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 1))) (fma.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 1)) (.f64 (cbrt.f64 (pow.f64 (fma.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 1) 2)) (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3))) (*.f64 (cbrt.f64 (pow.f64 (fma.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 1) 2)) (fma.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 1)))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3) 3)) (.f64 (.f64 (fma.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 1) (+.f64 (+.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)) (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3))) 1))
(/.f64 (*.f64 (/.f64 (-.f64 1 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3) 3)) (fma.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 1)) 1) (+.f64 (+.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)) (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)))
(/.f64 (*.f64 (/.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)) (cbrt.f64 (fma.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 1))) 1) (cbrt.f64 (pow.f64 (fma.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 1) 2)))
(/.f64 (.f64 (+.f64 -1 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3) 3)) 1) (.f64 (neg.f64 (*.f64 (fma.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 1) (+.f64 (+.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)) (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)))) 1))
(/.f64 (.f64 (-.f64 1 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3) 3)) (cbrt.f64 (/.f64 1 (fma.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 1)))) (.f64 (+.f64 (+.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)) (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)) (cbrt.f64 (pow.f64 (fma.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 1) 2))))
(/.f64 (.f64 (+.f64 -1 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3) 3)) (cbrt.f64 (/.f64 1 (fma.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 1)))) (.f64 (neg.f64 (+.f64 (+.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)) (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3))) (cbrt.f64 (pow.f64 (fma.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 1) 2))))
(/.f64 (.f64 (+.f64 -1 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3) 3)) 1) (.f64 (neg.f64 (+.f64 (+.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)) (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3))) (fma.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 1)))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3) 3)) (*.f64 (neg.f64 (+.f64 (+.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)) (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3))) (neg.f64 (fma.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 1))))
(/.f64 (+.f64 -1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2)) (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3) 3)) (neg.f64 (neg.f64 (*.f64 (fma.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 1) (+.f64 (+.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)) (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3))))))
(/.f64 (neg.f64 (/.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)) (cbrt.f64 (fma.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 1)))) (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 1) 2))))
(/.f64 (*.f64 (/.f64 1 (fma.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 1)) (+.f64 -1 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3) 3))) (neg.f64 (+.f64 (+.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)) (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3) 3))) (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 2)) (cbrt.f64 (fma.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 1)))) (cbrt.f64 (+.f64 (+.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)) (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3))))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3) 3)) (/.f64 1 (fma.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 1))) (neg.f64 (+.f64 (+.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)) (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3))))
(/.f64 (neg.f64 (/.f64 (-.f64 1 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3) 3)) (fma.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 1))) (neg.f64 (+.f64 (+.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)) (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3))))
(pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1)
(pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) 3)
(pow.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 3) 1/3)
(neg.f64 (+.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))
(neg.f64 (*.f64 (/.f64 -1 (fma.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 1)) (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3))))
(neg.f64 (*.f64 (+.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1))
(neg.f64 (*.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)) (/.f64 -1 (fma.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 1))))
(cbrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 3))

Outputs
(*.f64 3/8 (pow.f64 x 2))
(.f64 3/8 (.f64 x x))
(+.f64 (.f64 3/8 (pow.f64 x 2)) (.f64 -39/128 (pow.f64 x 4)))
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1
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1/3
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(*.f64 (/.f64 (+.f64 -1 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3) 3)) (neg.f64 (+.f64 (+.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)) (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)))) (cbrt.f64 (/.f64 (/.f64 1 (fma.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 1)) (pow.f64 (fma.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 1) 2))))
(/.f64 (.f64 (+.f64 -1 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3) 3)) 1) (.f64 (neg.f64 (+.f64 (+.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)) (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3))) (fma.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 1)))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3) 3)) (neg.f64 (+.f64 (+.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)) (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)))) (fma.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 1))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3) 3)) (*.f64 (neg.f64 (+.f64 (+.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)) (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3))) (neg.f64 (fma.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 1))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3) 3)) (*.f64 (fma.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 1) (+.f64 (+.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)) (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3))))
(/.f64 (+.f64 -1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2)) (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3) 3)) (neg.f64 (neg.f64 (*.f64 (fma.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 1) (+.f64 (+.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)) (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3))))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3) 3)) (*.f64 (fma.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 1) (+.f64 (+.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)) (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3))))
(/.f64 (neg.f64 (/.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)) (cbrt.f64 (fma.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 1)))) (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 1) 2))))
(/.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)) (*.f64 (cbrt.f64 (pow.f64 (fma.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 1) 2)) (cbrt.f64 (fma.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 1))))
(/.f64 (*.f64 (/.f64 1 (fma.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 1)) (+.f64 -1 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3) 3))) (neg.f64 (+.f64 (+.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)) (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3) 3)) (neg.f64 (+.f64 (+.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)) (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)))) (fma.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 1))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3) 3))) (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 2)) (cbrt.f64 (fma.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 1)))) (cbrt.f64 (+.f64 (+.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)) (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3) 3))) (cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 2) (fma.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 1)))) (cbrt.f64 (+.f64 (+.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)) (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3))))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3) 3)) (/.f64 1 (fma.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 1))) (neg.f64 (+.f64 (+.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)) (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3) 3)) (neg.f64 (+.f64 (+.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)) (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)))) (fma.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 1))
(/.f64 (neg.f64 (/.f64 (-.f64 1 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3) 3)) (fma.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 1))) (neg.f64 (+.f64 (+.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)) (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3) 3)) (*.f64 (fma.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 1) (+.f64 (+.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)) (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3))))
(pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1)
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))
(pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) 3)
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))
(pow.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 3) 1/3)
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))
(neg.f64 (+.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))
(neg.f64 (*.f64 (/.f64 -1 (fma.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 1)) (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3))))
(neg.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)) -1) (fma.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 1)))
(neg.f64 (*.f64 (+.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1))
(neg.f64 (+.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))
(neg.f64 (*.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)) (/.f64 -1 (fma.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 1))))
(neg.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)) -1) (fma.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 1)))
(cbrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 3))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))

localize2.0ms (0%)

Compiler: Compiled 5 to 5 computations (0% saved)

localize12.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 1/2 (/.f64 1/2 x))
✓	0.1b	(sqrt.f64 (-.f64 1/2 (/.f64 1/2 x)))
✓	0.5b	(-.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 1/2 x))))

Compiler

Compiled 26 to 21 computations (19.2% saved)

series36.0ms (0.1%)

Counts

3 → 12

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(-.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 1/2 x))))
1.0ms	x	@	inf	(-.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 1/2 x))))
0.0ms	x	@	-inf	(-.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 1/2 x))))
0.0ms	x	@	0	(sqrt.f64 (-.f64 1/2 (/.f64 1/2 x)))
0.0ms	x	@	0	(-.f64 1/2 (/.f64 1/2 x))

Compiler

Compiled 3370 to 2935 computations (12.9% saved)

rewrite173.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

126×	`egg-rr`
123×	`egg-rr`
26×	`egg-rr`

Counts

3 → 275

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (neg.f64 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (neg.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 2)) 1)))) (#(struct:change #<rule 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Outputs

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simplify636.0ms (1.9%)

Algorithm

1×

egglog

Counts

287 → 385

Calls

Call 1

Inputs
(/.f64 -1/2 x)
(-.f64 1/2 (*.f64 1/2 (/.f64 1 x)))
(-.f64 1/2 (*.f64 1/2 (/.f64 1 x)))
(-.f64 1/2 (*.f64 1/2 (/.f64 1 x)))
1/2
(-.f64 1/2 (*.f64 1/2 (/.f64 1 x)))
(-.f64 1/2 (*.f64 1/2 (/.f64 1 x)))
(-.f64 1/2 (*.f64 1/2 (/.f64 1 x)))
1/2
(-.f64 1/2 (*.f64 1/2 (/.f64 1 x)))
(-.f64 1/2 (*.f64 1/2 (/.f64 1 x)))
(-.f64 1/2 (*.f64 1/2 (/.f64 1 x)))
(fma.f64 1 1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))
(fma.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 1)
(fma.f64 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (neg.f64 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) 1)
(fma.f64 1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 1)
(fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 2) 1)
(fma.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 1)
(fma.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (neg.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 2)) 1)
(fma.f64 (cbrt.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 2) 1)
(fma.f64 2 1/2 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))
(fma.f64 1/2 2 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))
(fma.f64 1 0 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))
(fma.f64 0 0 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))
(fma.f64 0 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))
(fma.f64 0 3 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))
(if (!=.f64 1 0) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))
(if (!=.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 0) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))
(if (!=.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 2)) 0) (/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 2)))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))
(if (!=.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 2))) 2) 0) (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 2))) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 2))) 2))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))
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(*.f64 (+.f64 (cbrt.f64 1/4) (+.f64 (cbrt.f64 (/.f64 (/.f64 1/4 x) x)) (cbrt.f64 (/.f64 1/4 x)))) (-.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 1/2 x))))
(*.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 2)) (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))
(*.f64 1 (+.f64 1/2 (/.f64 -1/2 x)))
(*.f64 (+.f64 1/2 (/.f64 -1/2 x)) 1)
(*.f64 -1 (+.f64 (/.f64 1/2 x) -1/2))
(*.f64 (+.f64 (/.f64 1/2 x) -1/2) -1)
(.f64 (cbrt.f64 (+.f64 1/8 (pow.f64 (/.f64 -1/2 x) 3))) (.f64 (pow.f64 (cbrt.f64 (+.f64 1/8 (pow.f64 (/.f64 -1/2 x) 3))) 2) (/.f64 1 (+.f64 1/4 (/.f64 (+.f64 1/4 (/.f64 1/4 x)) x)))))
(.f64 2 (.f64 -1/2 (+.f64 (/.f64 1/2 x) -1/2)))
(*.f64 1/2 (+.f64 (/.f64 -1 x) 1))
(*.f64 1/2 (+.f64 1 (/.f64 -1 x)))
(*.f64 (sqrt.f64 1/2) (-.f64 (sqrt.f64 1/2) (/.f64 (sqrt.f64 1/2) x)))
(*.f64 1/2 (-.f64 1 (/.f64 1 x)))
(*.f64 (+.f64 1/8 (pow.f64 (/.f64 -1/2 x) 3)) (/.f64 1 (+.f64 1/4 (/.f64 (+.f64 1/4 (/.f64 1/4 x)) x))))
(*.f64 (+.f64 -1/8 (pow.f64 (/.f64 1/2 x) 3)) (/.f64 1 (+.f64 -1/4 (neg.f64 (/.f64 (+.f64 1/4 (/.f64 1/4 x)) x)))))
(*.f64 (+.f64 x -1) (/.f64 1/2 x))
(*.f64 (cbrt.f64 (+.f64 (/.f64 1/2 x) -1/2)) (neg.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 2))))
(*.f64 (/.f64 1 (+.f64 1/4 (/.f64 (+.f64 1/4 (/.f64 1/4 x)) x))) (+.f64 1/8 (pow.f64 (/.f64 -1/2 x) 3)))
(.f64 (+.f64 1/4 (/.f64 (+.f64 1/4 (/.f64 1/4 x)) x)) (.f64 (+.f64 1/2 (/.f64 -1/2 x)) (/.f64 1 (+.f64 1/4 (/.f64 (+.f64 1/4 (/.f64 1/4 x)) x)))))
(*.f64 (neg.f64 (+.f64 -1 x)) (/.f64 -1/2 x))
(*.f64 (+.f64 1/4 (/.f64 (+.f64 1/4 (/.f64 1/4 x)) x)) (/.f64 (+.f64 1/2 (/.f64 -1/2 x)) (+.f64 1/4 (/.f64 (+.f64 1/4 (/.f64 1/4 x)) x))))
(/.f64 (*.f64 (-.f64 1/512 (pow.f64 (pow.f64 (/.f64 1/2 x) 3) 3)) (/.f64 1 (+.f64 1/4 (/.f64 (+.f64 1/4 (/.f64 1/4 x)) x)))) (+.f64 1/64 (+.f64 (pow.f64 (pow.f64 (/.f64 1/2 x) 3) 2) (pow.f64 (/.f64 1/4 x) 3))))
(/.f64 (/.f64 (+.f64 1/8 (pow.f64 (/.f64 -1/2 x) 3)) (cbrt.f64 (+.f64 1/4 (/.f64 (+.f64 1/4 (/.f64 1/4 x)) x)))) (pow.f64 (cbrt.f64 (+.f64 1/4 (/.f64 (+.f64 1/4 (/.f64 1/4 x)) x))) 2))
(/.f64 (-.f64 1/512 (pow.f64 (pow.f64 (/.f64 1/2 x) 3) 3)) (*.f64 (+.f64 1/4 (/.f64 (+.f64 1/4 (/.f64 1/4 x)) x)) (+.f64 1/64 (+.f64 (pow.f64 (pow.f64 (/.f64 1/2 x) 3) 2) (pow.f64 (/.f64 1/4 x) 3)))))
(/.f64 (-.f64 1 (/.f64 1 x)) 2)
(/.f64 (+.f64 x -1) (*.f64 -2 (neg.f64 x)))
(/.f64 (+.f64 (.f64 -1/2 -2) (neg.f64 x)) (.f64 x -2))
(/.f64 (+.f64 -1 (.f64 (neg.f64 x) -1)) (.f64 (neg.f64 x) -2))
(/.f64 (-.f64 (.f64 1/8 (+.f64 1/4 (/.f64 (+.f64 1/4 (/.f64 1/4 x)) x))) (.f64 (+.f64 1/4 (/.f64 (+.f64 1/4 (/.f64 1/4 x)) x)) (pow.f64 (/.f64 1/2 x) 3))) (*.f64 (+.f64 1/4 (/.f64 (+.f64 1/4 (/.f64 1/4 x)) x)) (+.f64 1/4 (/.f64 (+.f64 1/4 (/.f64 1/4 x)) x))))
(/.f64 (-.f64 x (.f64 -2 -1/2)) (.f64 -2 (neg.f64 x)))
(/.f64 (neg.f64 (+.f64 -1 x)) (*.f64 -2 x))
(/.f64 (-.f64 (neg.f64 (cbrt.f64 (.f64 x x))) (.f64 -2 (cbrt.f64 (/.f64 1/8 x)))) (.f64 -2 (cbrt.f64 (.f64 x x))))
(/.f64 (-.f64 -2 (.f64 -2 (/.f64 1 x))) (.f64 -2 2))
(/.f64 (-.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 (/.f64 1 x))) (.f64 2 (cbrt.f64 (*.f64 x x))))
(/.f64 (-.f64 2 (*.f64 2 (/.f64 1 x))) 4)
(/.f64 (.f64 (+.f64 -1/8 (pow.f64 (/.f64 1/2 x) 3)) 1) (.f64 (+.f64 -1/4 (neg.f64 (/.f64 (+.f64 1/4 (/.f64 1/4 x)) x))) 1))
(/.f64 (+.f64 -1/8 (pow.f64 (/.f64 1/2 x) 3)) (+.f64 -1/4 (neg.f64 (/.f64 (+.f64 1/4 (/.f64 1/4 x)) x))))
(/.f64 (+.f64 1/8 (pow.f64 (/.f64 -1/2 x) 3)) (neg.f64 (+.f64 -1/4 (neg.f64 (/.f64 (+.f64 1/4 (/.f64 1/4 x)) x)))))
(/.f64 (+.f64 x -1) (+.f64 x x))
(/.f64 (neg.f64 (+.f64 -1 x)) (neg.f64 (+.f64 x x)))
(/.f64 (*.f64 -1 (-.f64 1 x)) (+.f64 x x))
(/.f64 (*.f64 -1 (+.f64 -1 x)) (neg.f64 (+.f64 x x)))
(/.f64 (+.f64 1/2 (/.f64 -1/2 x)) 1)
(/.f64 (*.f64 (neg.f64 (+.f64 -1 x)) 1) (neg.f64 (+.f64 x x)))
(/.f64 (*.f64 (+.f64 x -1) 1) (+.f64 x x))
(/.f64 (/.f64 (+.f64 x -1) 2) x)
(/.f64 (/.f64 (neg.f64 (+.f64 -1 x)) 2) (neg.f64 x))
(/.f64 (+.f64 1/8 (pow.f64 (/.f64 -1/2 x) 3)) (+.f64 (/.f64 (/.f64 1/4 x) x) (-.f64 1/4 (/.f64 -1/4 x))))
(/.f64 (+.f64 1/8 (pow.f64 (/.f64 -1/2 x) 3)) (+.f64 1/4 (/.f64 (+.f64 1/4 (/.f64 1/4 x)) x)))
(/.f64 (+.f64 (*.f64 1/2 x) -1/2) x)
(/.f64 (+.f64 (*.f64 1/2 (neg.f64 x)) 1/2) (neg.f64 x))
(/.f64 (+.f64 -1 x) (+.f64 x x))
(/.f64 (-.f64 1 x) (neg.f64 (+.f64 x x)))
(/.f64 (+.f64 -1/2 (*.f64 x 1/2)) x)
(/.f64 (+.f64 1/2 (*.f64 (neg.f64 x) 1/2)) (neg.f64 x))
(/.f64 (-.f64 (*.f64 1/2 (neg.f64 x)) -1/2) (neg.f64 x))
(/.f64 (-.f64 (*.f64 1/2 x) 1/2) x)
(/.f64 (-.f64 (.f64 1/2 (cbrt.f64 (.f64 x x))) (cbrt.f64 (/.f64 1/8 x))) (cbrt.f64 (*.f64 x x)))
(/.f64 (-.f64 (neg.f64 (+.f64 x x)) -2) (*.f64 -2 (+.f64 x x)))
(/.f64 (-.f64 (+.f64 x x) 2) (*.f64 2 (+.f64 x x)))
(/.f64 (+.f64 -1 x) (neg.f64 (neg.f64 (+.f64 x x))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 2)) (cbrt.f64 (+.f64 1/8 (pow.f64 (/.f64 -1/2 x) 3)))) (cbrt.f64 (+.f64 1/4 (/.f64 (+.f64 1/4 (/.f64 1/4 x)) x))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1/8 (pow.f64 (/.f64 -1/2 x) 3))) (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 2))) (cbrt.f64 (+.f64 1/4 (/.f64 (+.f64 1/4 (/.f64 1/4 x)) x))))
(/.f64 (*.f64 (+.f64 -1/8 (pow.f64 (/.f64 1/2 x) 3)) 1) (+.f64 -1/4 (neg.f64 (/.f64 (+.f64 1/4 (/.f64 1/4 x)) x))))
(pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 3)
(pow.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 3) 1/3)
(pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 1)
(neg.f64 (+.f64 (/.f64 1/2 x) -1/2))
(neg.f64 (-.f64 (+.f64 (/.f64 1/2 x) -1/2) 0))
(cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 3))

Outputs
(/.f64 -1/2 x)
(-.f64 1/2 (*.f64 1/2 (/.f64 1 x)))
(-.f64 1/2 (/.f64 1/2 x))
(-.f64 1/2 (*.f64 1/2 (/.f64 1 x)))
(-.f64 1/2 (/.f64 1/2 x))
(-.f64 1/2 (*.f64 1/2 (/.f64 1 x)))
(-.f64 1/2 (/.f64 1/2 x))
1/2
(-.f64 1/2 (*.f64 1/2 (/.f64 1 x)))
(-.f64 1/2 (/.f64 1/2 x))
(-.f64 1/2 (*.f64 1/2 (/.f64 1 x)))
(-.f64 1/2 (/.f64 1/2 x))
(-.f64 1/2 (*.f64 1/2 (/.f64 1 x)))
(-.f64 1/2 (/.f64 1/2 x))
1/2
(-.f64 1/2 (*.f64 1/2 (/.f64 1 x)))
(-.f64 1/2 (/.f64 1/2 x))
(-.f64 1/2 (*.f64 1/2 (/.f64 1 x)))
(-.f64 1/2 (/.f64 1/2 x))
(-.f64 1/2 (*.f64 1/2 (/.f64 1 x)))
(-.f64 1/2 (/.f64 1/2 x))
(fma.f64 1 1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))
(-.f64 1 (sqrt.f64 (+.f64 (/.f64 -1/2 x) 1/2)))
(fma.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 1)
(fma.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (+.f64 (/.f64 -1/2 x) 1/2)))) (sqrt.f64 (sqrt.f64 (+.f64 (/.f64 -1/2 x) 1/2))) 1)
(fma.f64 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (neg.f64 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) 1)
(fma.f64 (sqrt.f64 (sqrt.f64 (+.f64 (/.f64 -1/2 x) 1/2))) (neg.f64 (sqrt.f64 (sqrt.f64 (+.f64 (/.f64 -1/2 x) 1/2)))) 1)
(fma.f64 1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 1)
(-.f64 1 (sqrt.f64 (+.f64 (/.f64 -1/2 x) 1/2)))
(fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 2) 1)
(fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (+.f64 (/.f64 -1/2 x) 1/2)))) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 (/.f64 -1/2 x) 1/2))) 2) 1)
(fma.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 1)
(-.f64 1 (sqrt.f64 (+.f64 (/.f64 -1/2 x) 1/2)))
(fma.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (neg.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 2)) 1)
(fma.f64 (cbrt.f64 (sqrt.f64 (+.f64 (/.f64 -1/2 x) 1/2))) (neg.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 (/.f64 -1/2 x) 1/2))) 2)) 1)
(fma.f64 (cbrt.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 2) 1)
(fma.f64 (cbrt.f64 (neg.f64 (sqrt.f64 (+.f64 (/.f64 -1/2 x) 1/2)))) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 (/.f64 -1/2 x) 1/2))) 2) 1)
(fma.f64 2 1/2 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))
(fma.f64 2 1/2 (neg.f64 (sqrt.f64 (+.f64 (/.f64 -1/2 x) 1/2))))
(fma.f64 1/2 2 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))
(fma.f64 1/2 2 (neg.f64 (sqrt.f64 (+.f64 (/.f64 -1/2 x) 1/2))))
(fma.f64 1 0 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))
(-.f64 1 (sqrt.f64 (+.f64 (/.f64 -1/2 x) 1/2)))
(fma.f64 0 0 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))
(fma.f64 0 0 (-.f64 1 (sqrt.f64 (+.f64 (/.f64 -1/2 x) 1/2))))
(fma.f64 0 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))
(fma.f64 0 1 (-.f64 1 (sqrt.f64 (+.f64 (/.f64 -1/2 x) 1/2))))
(fma.f64 0 3 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))
(fma.f64 0 3 (-.f64 1 (sqrt.f64 (+.f64 (/.f64 -1/2 x) 1/2))))
(if (!=.f64 1 0) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))
(if (!=.f64 1 0) (-.f64 1 (sqrt.f64 (+.f64 (/.f64 -1/2 x) 1/2))) (-.f64 1 (sqrt.f64 (+.f64 (/.f64 -1/2 x) 1/2))))
(if (!=.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 0) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))
(if (!=.f64 (sqrt.f64 (+.f64 (/.f64 -1/2 x) 1/2)) 0) (-.f64 1 (sqrt.f64 (+.f64 (/.f64 -1/2 x) 1/2))) (-.f64 1 (sqrt.f64 (+.f64 (/.f64 -1/2 x) 1/2))))
(if (!=.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 2)) 0) (/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 2)))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))
(if (!=.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 (/.f64 -1/2 x) 1/2)) 2)) 0) (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 (/.f64 -1/2 x) 1/2))) (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 (/.f64 -1/2 x) 1/2)) 2))) -1) (-.f64 1 (sqrt.f64 (+.f64 (/.f64 -1/2 x) 1/2))))
(if (!=.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 2))) 2) 0) (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 2))) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 2))) 2))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))
(if (!=.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 (/.f64 -1/2 x) 1/2)) 2))) 2) 0) (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 (/.f64 -1/2 x) 1/2)) 2))) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 (/.f64 -1/2 x) 1/2))) (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 (/.f64 -1/2 x) 1/2)) 2))) 2))) (-.f64 1 (sqrt.f64 (+.f64 (/.f64 -1/2 x) 1/2))))
(if (!=.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 0) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))
(if (!=.f64 (-.f64 1 (sqrt.f64 (+.f64 (/.f64 -1/2 x) 1/2))) 0) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 (/.f64 -1/2 x) 1/2))) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 (/.f64 -1/2 x) 1/2))) (-.f64 1 (sqrt.f64 (+.f64 (/.f64 -1/2 x) 1/2))))) (-.f64 1 (sqrt.f64 (+.f64 (/.f64 -1/2 x) 1/2))))
(if (!=.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 3))) 2) 0) (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 3))) (/.f64 (fma.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 1) (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 3))) 2))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))
(if (!=.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 (/.f64 -1/2 x) 1/2)) 3))) 2) 0) (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 (/.f64 -1/2 x) 1/2)) 3))) (/.f64 (fma.f64 (+.f64 1 (sqrt.f64 (+.f64 (/.f64 -1/2 x) 1/2))) (sqrt.f64 (+.f64 (/.f64 -1/2 x) 1/2)) 1) (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 (/.f64 -1/2 x) 1/2)) 3))) 2))) (-.f64 1 (sqrt.f64 (+.f64 (/.f64 -1/2 x) 1/2))))
(if (!=.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 3)) 0) (/.f64 1 (/.f64 (fma.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 1) (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 3)))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))
(if (!=.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 (/.f64 -1/2 x) 1/2)) 3)) 0) (pow.f64 (/.f64 (fma.f64 (+.f64 1 (sqrt.f64 (+.f64 (/.f64 -1/2 x) 1/2))) (sqrt.f64 (+.f64 (/.f64 -1/2 x) 1/2)) 1) (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 (/.f64 -1/2 x) 1/2)) 3))) -1) (-.f64 1 (sqrt.f64 (+.f64 (/.f64 -1/2 x) 1/2))))
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(if (!=.f64 (-.f64 1 (sqrt.f64 (+.f64 (/.f64 -1/2 x) 1/2))) 0) (/.f64 (fma.f64 (+.f64 1 (sqrt.f64 (+.f64 (/.f64 -1/2 x) 1/2))) (sqrt.f64 (+.f64 (/.f64 -1/2 x) 1/2)) 1) (/.f64 (fma.f64 (+.f64 1 (sqrt.f64 (+.f64 (/.f64 -1/2 x) 1/2))) (sqrt.f64 (+.f64 (/.f64 -1/2 x) 1/2)) 1) (-.f64 1 (sqrt.f64 (+.f64 (/.f64 -1/2 x) 1/2))))) (-.f64 1 (sqrt.f64 (+.f64 (/.f64 -1/2 x) 1/2))))
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(/.f64 (fma.f64 1/2 x (neg.f64 1/2)) x)
(/.f64 (-.f64 (.f64 1/2 (cbrt.f64 (.f64 x x))) (cbrt.f64 (/.f64 1/8 x))) (cbrt.f64 (*.f64 x x)))
(/.f64 (fma.f64 1/2 (cbrt.f64 (.f64 x x)) (neg.f64 (cbrt.f64 (/.f64 1/8 x)))) (cbrt.f64 (.f64 x x)))
(/.f64 (-.f64 (neg.f64 (+.f64 x x)) -2) (*.f64 -2 (+.f64 x x)))
(/.f64 (-.f64 (+.f64 x x) 2) (*.f64 2 (+.f64 x x)))
(/.f64 (+.f64 -1 x) (neg.f64 (neg.f64 (+.f64 x x))))
(/.f64 (+.f64 x -1) (+.f64 x x))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 2)) (cbrt.f64 (+.f64 1/8 (pow.f64 (/.f64 -1/2 x) 3)))) (cbrt.f64 (+.f64 1/4 (/.f64 (+.f64 1/4 (/.f64 1/4 x)) x))))
(/.f64 (cbrt.f64 (*.f64 (+.f64 1/8 (pow.f64 (/.f64 -1/2 x) 3)) (pow.f64 (+.f64 (/.f64 -1/2 x) 1/2) 2))) (cbrt.f64 (+.f64 1/4 (/.f64 (+.f64 1/4 (/.f64 1/4 x)) x))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1/8 (pow.f64 (/.f64 -1/2 x) 3))) (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 2))) (cbrt.f64 (+.f64 1/4 (/.f64 (+.f64 1/4 (/.f64 1/4 x)) x))))
(/.f64 (cbrt.f64 (*.f64 (+.f64 1/8 (pow.f64 (/.f64 -1/2 x) 3)) (pow.f64 (+.f64 (/.f64 -1/2 x) 1/2) 2))) (cbrt.f64 (+.f64 1/4 (/.f64 (+.f64 1/4 (/.f64 1/4 x)) x))))
(/.f64 (*.f64 (+.f64 -1/8 (pow.f64 (/.f64 1/2 x) 3)) 1) (+.f64 -1/4 (neg.f64 (/.f64 (+.f64 1/4 (/.f64 1/4 x)) x))))
(/.f64 (+.f64 -1/8 (pow.f64 (/.f64 1/2 x) 3)) (-.f64 -1/4 (/.f64 (+.f64 1/4 (/.f64 1/4 x)) x)))
(pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 3)
(+.f64 (/.f64 -1/2 x) 1/2)
(pow.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 3) 1/3)
(+.f64 (/.f64 -1/2 x) 1/2)
(pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 1)
(+.f64 (/.f64 -1/2 x) 1/2)
(neg.f64 (+.f64 (/.f64 1/2 x) -1/2))
(neg.f64 (-.f64 (+.f64 (/.f64 1/2 x) -1/2) 0))
(neg.f64 (+.f64 (/.f64 1/2 x) -1/2))
(cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 3))
(+.f64 (/.f64 -1/2 x) 1/2)

localize52.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(/.f64 1/2 (hypot.f64 -1 x))
✓	0.1b	(pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 3)
✓	0.5b	(cbrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 3))
	1.9b	(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))

Compiler

Compiled 64 to 56 computations (12.5% saved)

series152.0ms (0.5%)

Counts

2 → 8

Calls

6 calls:

Time	Variable		Point	Expression
7.0ms	x	@	inf	(cbrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 3))
3.0ms	x	@	-inf	(cbrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 3))
3.0ms	x	@	0	(cbrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 3))
1.0ms	x	@	-inf	(pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 3)
1.0ms	x	@	inf	(pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 3)

Compiler

Compiled 14175 to 13940 computations (1.7% saved)

rewrite208.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

130×	`egg-rr`
86×	`egg-rr`

Counts

2 → 216

Calls

Call 1

Inputs
(cbrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 3))
(pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 3)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 -1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 2 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 1/2 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) (neg.f64 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) (neg.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 0 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 0 0 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 0 3 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 0 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 1 0) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 0) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2))) 2) 0) (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2))) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2))) 2))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 0) (/.f64 (+.f64 1 (sqrt.f64 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Outputs

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simplify509.0ms (1.5%)

Algorithm

1×

egglog

Counts

224 → 278

Calls

Call 1

Inputs
(*.f64 (cbrt.f64 1/512) (pow.f64 x 2))
(+.f64 (.f64 -11/8192 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 1/512) 2))) (.f64 (cbrt.f64 1/512) (pow.f64 x 2)))
(+.f64 (.f64 -11/8192 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 1/512) 2))) (+.f64 (.f64 (cbrt.f64 1/512) (pow.f64 x 2)) (.f64 1/3 (/.f64 (.f64 (-.f64 777/131072 (*.f64 363/67108864 (/.f64 (cbrt.f64 1/512) (pow.f64 (pow.f64 (cbrt.f64 1/512) 2) 2)))) (pow.f64 x 6)) (pow.f64 (cbrt.f64 1/512) 2)))))
(+.f64 (.f64 -11/8192 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 1/512) 2))) (+.f64 (.f64 (cbrt.f64 1/512) (pow.f64 x 2)) (+.f64 (.f64 1/3 (/.f64 (.f64 (-.f64 777/131072 (.f64 363/67108864 (/.f64 (cbrt.f64 1/512) (pow.f64 (pow.f64 (cbrt.f64 1/512) 2) 2)))) (pow.f64 x 6)) (pow.f64 (cbrt.f64 1/512) 2))) (.f64 1/3 (/.f64 (.f64 (pow.f64 x 8) (-.f64 (.f64 1331/549755813888 (/.f64 1 (pow.f64 (pow.f64 (cbrt.f64 1/512) 2) 3))) (+.f64 499/65536 (.f64 -11/4096 (/.f64 (.f64 (-.f64 777/131072 (*.f64 363/67108864 (/.f64 (cbrt.f64 1/512) (pow.f64 (pow.f64 (cbrt.f64 1/512) 2) 2)))) (cbrt.f64 1/512)) (pow.f64 (pow.f64 (cbrt.f64 1/512) 2) 2)))))) (pow.f64 (cbrt.f64 1/512) 2))))))
(*.f64 1/512 (pow.f64 x 6))
(+.f64 (.f64 -33/8192 (pow.f64 x 8)) (.f64 1/512 (pow.f64 x 6)))
(+.f64 (.f64 777/131072 (pow.f64 x 10)) (+.f64 (.f64 -33/8192 (pow.f64 x 8)) (*.f64 1/512 (pow.f64 x 6))))
(+.f64 (.f64 777/131072 (pow.f64 x 10)) (+.f64 (.f64 -33/8192 (pow.f64 x 8)) (+.f64 (.f64 -499/65536 (pow.f64 x 12)) (.f64 1/512 (pow.f64 x 6)))))
(fma.f64 1 1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))
(fma.f64 -1 -1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))
(fma.f64 1/2 2 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))
(fma.f64 2 1/2 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))
(fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 2) 1)
(fma.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1)
(fma.f64 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) (neg.f64 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) 1)
(fma.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 1)
(fma.f64 1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1)
(fma.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) (neg.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 2)) 1)
(fma.f64 1 0 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))
(fma.f64 0 0 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))
(fma.f64 0 3 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))
(fma.f64 0 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))
(if (!=.f64 1 0) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))
(if (!=.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 0) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))
(if (!=.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2))) 2) 0) (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2))) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2))) 2))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))
(if (!=.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 0) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))
(if (!=.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2)) 0) (/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2)))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))
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(/.f64 (*.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) (pow.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)) 2)) (pow.f64 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1) 2))
(/.f64 (*.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 2) (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))
(/.f64 (*.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 2) (+.f64 -1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2))) (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2)) (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 2)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2)) (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 2)) (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))
(/.f64 (.f64 (.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 2) (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3))) 1) (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1))
(/.f64 (.f64 (.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1))
(/.f64 (*.f64 (pow.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)) 2) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (pow.f64 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1) 2))
(/.f64 (/.f64 (*.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 2) (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3))) 1) (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1))
(/.f64 (/.f64 (*.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 2) (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3))) (cbrt.f64 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1))) (cbrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1) 2)))
(/.f64 (pow.f64 (+.f64 -1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)) 3) (pow.f64 (neg.f64 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1)) 3))
(/.f64 (pow.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)) 3) (pow.f64 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1) 3))
(/.f64 (pow.f64 (+.f64 -1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2)) 3) (pow.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 3))
(/.f64 (pow.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2)) 3) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 3))
(/.f64 (.f64 (pow.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)) 3) 1) (.f64 (pow.f64 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1) 3) 1))
(/.f64 (.f64 (+.f64 -1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)) (.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)))) (*.f64 (neg.f64 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1)) (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1)))
(/.f64 (.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)) (.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)))) (pow.f64 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1) 2))
(/.f64 (.f64 (+.f64 -1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2)) (.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)))) (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1)))
(/.f64 (.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2)) (.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)))) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1)))
(/.f64 (.f64 (+.f64 -1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)) (pow.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)) 2)) (.f64 (neg.f64 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1)) (pow.f64 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1) 2)))
(/.f64 (.f64 (+.f64 -1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2)) (pow.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)) 2)) (.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) (pow.f64 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1) 2)))
(/.f64 (neg.f64 (pow.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)) 3)) (neg.f64 (pow.f64 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1) 3)))
(/.f64 (*.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 2) (+.f64 -1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3))) (neg.f64 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1)))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)) (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 2)) (neg.f64 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1)))
(/.f64 (*.f64 (pow.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)) 3) 1) (pow.f64 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1) 3))
(/.f64 (.f64 (cbrt.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3))) (.f64 (cbrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 2)) (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 2))) (cbrt.f64 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1)))
(/.f64 (neg.f64 (*.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 2) (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)))) (neg.f64 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1)))
(pow.f64 (pow.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 3) 3) 1/3)
(pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 3)
(pow.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 3) 1)
(neg.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) -1) 3))
(neg.f64 (*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) -1) 3) 1))
(neg.f64 (*.f64 (neg.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 2)) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))))
(neg.f64 (*.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) (neg.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 3) 3))

Outputs
(*.f64 (cbrt.f64 1/512) (pow.f64 x 2))
(.f64 (cbrt.f64 1/512) (.f64 x x))
(+.f64 (.f64 -11/8192 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 1/512) 2))) (.f64 (cbrt.f64 1/512) (pow.f64 x 2)))
(fma.f64 -11/8192 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 1/512) 2)) (.f64 (cbrt.f64 1/512) (.f64 x x)))
(+.f64 (.f64 -11/8192 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 1/512) 2))) (+.f64 (.f64 (cbrt.f64 1/512) (pow.f64 x 2)) (.f64 1/3 (/.f64 (.f64 (-.f64 777/131072 (*.f64 363/67108864 (/.f64 (cbrt.f64 1/512) (pow.f64 (pow.f64 (cbrt.f64 1/512) 2) 2)))) (pow.f64 x 6)) (pow.f64 (cbrt.f64 1/512) 2)))))
(fma.f64 -11/8192 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 1/512) 2)) (fma.f64 (cbrt.f64 1/512) (.f64 x x) (/.f64 (.f64 1/3 (.f64 (-.f64 777/131072 (/.f64 (.f64 363/67108864 (cbrt.f64 1/512)) (pow.f64 (pow.f64 (cbrt.f64 1/512) 2) 2))) (pow.f64 x 6))) (pow.f64 (cbrt.f64 1/512) 2))))
(+.f64 (.f64 -11/8192 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 1/512) 2))) (+.f64 (.f64 (cbrt.f64 1/512) (pow.f64 x 2)) (+.f64 (.f64 1/3 (/.f64 (.f64 (-.f64 777/131072 (.f64 363/67108864 (/.f64 (cbrt.f64 1/512) (pow.f64 (pow.f64 (cbrt.f64 1/512) 2) 2)))) (pow.f64 x 6)) (pow.f64 (cbrt.f64 1/512) 2))) (.f64 1/3 (/.f64 (.f64 (pow.f64 x 8) (-.f64 (.f64 1331/549755813888 (/.f64 1 (pow.f64 (pow.f64 (cbrt.f64 1/512) 2) 3))) (+.f64 499/65536 (.f64 -11/4096 (/.f64 (.f64 (-.f64 777/131072 (*.f64 363/67108864 (/.f64 (cbrt.f64 1/512) (pow.f64 (pow.f64 (cbrt.f64 1/512) 2) 2)))) (cbrt.f64 1/512)) (pow.f64 (pow.f64 (cbrt.f64 1/512) 2) 2)))))) (pow.f64 (cbrt.f64 1/512) 2))))))
(fma.f64 -11/8192 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 1/512) 2)) (fma.f64 (cbrt.f64 1/512) (.f64 x x) (.f64 1/3 (+.f64 (/.f64 (.f64 (-.f64 777/131072 (/.f64 (.f64 363/67108864 (cbrt.f64 1/512)) (pow.f64 (pow.f64 (cbrt.f64 1/512) 2) 2))) (pow.f64 x 6)) (pow.f64 (cbrt.f64 1/512) 2)) (/.f64 (.f64 (pow.f64 x 8) (-.f64 (/.f64 1331/549755813888 (pow.f64 (pow.f64 (cbrt.f64 1/512) 2) 3)) (+.f64 499/65536 (/.f64 (.f64 -11/4096 (.f64 (-.f64 777/131072 (/.f64 (.f64 363/67108864 (cbrt.f64 1/512)) (pow.f64 (pow.f64 (cbrt.f64 1/512) 2) 2))) (cbrt.f64 1/512))) (pow.f64 (pow.f64 (cbrt.f64 1/512) 2) 2))))) (pow.f64 (cbrt.f64 1/512) 2))))))
(*.f64 1/512 (pow.f64 x 6))
(+.f64 (.f64 -33/8192 (pow.f64 x 8)) (.f64 1/512 (pow.f64 x 6)))
(fma.f64 -33/8192 (pow.f64 x 8) (*.f64 1/512 (pow.f64 x 6)))
(+.f64 (.f64 777/131072 (pow.f64 x 10)) (+.f64 (.f64 -33/8192 (pow.f64 x 8)) (*.f64 1/512 (pow.f64 x 6))))
(fma.f64 777/131072 (pow.f64 x 10) (fma.f64 -33/8192 (pow.f64 x 8) (*.f64 1/512 (pow.f64 x 6))))
(+.f64 (.f64 777/131072 (pow.f64 x 10)) (+.f64 (.f64 -33/8192 (pow.f64 x 8)) (+.f64 (.f64 -499/65536 (pow.f64 x 12)) (.f64 1/512 (pow.f64 x 6)))))
(fma.f64 777/131072 (pow.f64 x 10) (fma.f64 -33/8192 (pow.f64 x 8) (fma.f64 -499/65536 (pow.f64 x 12) (*.f64 1/512 (pow.f64 x 6)))))
(fma.f64 1 1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))
(fma.f64 -1 -1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))
(fma.f64 1/2 2 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))
(fma.f64 2 1/2 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))
(fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 2) 1)
(fma.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1)
(fma.f64 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) (neg.f64 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) 1)
(fma.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 1)
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))
(fma.f64 1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1)
(fma.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) (neg.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 2)) 1)
(fma.f64 1 0 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))
(fma.f64 0 0 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))
(fma.f64 0 3 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))
(fma.f64 0 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))
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(.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) (/.f64 (.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3))) (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1)))
(/.f64 (.f64 (+.f64 -1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)) (pow.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)) 2)) (.f64 (neg.f64 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1)) (pow.f64 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1) 2)))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)) (pow.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)) 2)) (neg.f64 (pow.f64 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1) 3)))
(/.f64 (.f64 (+.f64 -1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2)) (pow.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)) 2)) (.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) (pow.f64 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1) 2)))
(/.f64 (neg.f64 (pow.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)) 3)) (neg.f64 (pow.f64 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1) 3)))
(/.f64 (pow.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)) 3) (pow.f64 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1) 3))
(/.f64 (*.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 2) (+.f64 -1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3))) (neg.f64 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1)))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)) (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 2)) (neg.f64 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1)))
(/.f64 (*.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 2) (+.f64 -1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3))) (neg.f64 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1)))
(/.f64 (*.f64 (pow.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)) 3) 1) (pow.f64 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1) 3))
(/.f64 (pow.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)) 3) (pow.f64 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1) 3))
(/.f64 (.f64 (cbrt.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3))) (.f64 (cbrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 2)) (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 2))) (cbrt.f64 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1)))
(/.f64 (.f64 (cbrt.f64 (.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 2) (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)))) (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 2)) (cbrt.f64 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1)))
(/.f64 (neg.f64 (*.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 2) (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)))) (neg.f64 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1)))
(/.f64 (*.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 2) (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3))) (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1))
(pow.f64 (pow.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 3) 3) 1/3)
(pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 3)
(pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 3)
(pow.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 3) 1)
(pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 3)
(neg.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) -1) 3))
(neg.f64 (*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) -1) 3) 1))
(neg.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) -1) 3))
(neg.f64 (*.f64 (neg.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 2)) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))))
(neg.f64 (neg.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 3)))
(neg.f64 (*.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) (neg.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 2))))
(neg.f64 (neg.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 3)))
(cbrt.f64 (pow.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 3) 3))
(pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 3)

localize60.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))
	0.0b	(/.f64 1/2 (hypot.f64 -1 x))
✓	0.5b	(pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2)
✓	1.5b	(-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2))

Compiler

Compiled 98 to 87 computations (11.2% saved)

series44.0ms (0.1%)

Counts

3 → 12

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2))
0.0ms	x	@	-inf	(-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2))
0.0ms	x	@	0	(-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2))
0.0ms	x	@	-inf	(pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2)
0.0ms	x	@	inf	(pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2)

Compiler

Compiled 4290 to 4000 computations (6.8% saved)

rewrite181.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

92×	`egg-rr`
80×	`egg-rr`
29×	`egg-rr`

Counts

3 → 201

Calls

Call 1

Inputs
(-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2))
(pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2)
(+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 1 (neg.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 -1 (neg.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 2 (neg.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 1/2 (neg.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 2)) (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 2) (neg.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (neg.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 0 0 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 0 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 0 3 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 0 1 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 1 0) (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2)) (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2) 0) (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2)) (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))) 2) 0) (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))) (/.f64 (+.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 4) (+.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2))) (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))) 2))) (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)) 0) (/.f64 1 (/.f64 (+.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 4) (+.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2))) (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)))) (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2)) 0) (/.f64 (+.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 4) (+.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2))) (/.f64 (+.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 4) (+.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2))) 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1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))))) 2))))))

simplify421.0ms (1.3%)

Algorithm

1×

egglog

Counts

213 → 264

Calls

Call 1

Inputs
(*.f64 1/4 (pow.f64 x 2))
(+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 -3/16 (pow.f64 x 4)))
(+.f64 (.f64 5/32 (pow.f64 x 6)) (+.f64 (.f64 1/4 (pow.f64 x 2)) (*.f64 -3/16 (pow.f64 x 4))))
(+.f64 (.f64 5/32 (pow.f64 x 6)) (+.f64 (.f64 1/4 (pow.f64 x 2)) (+.f64 (.f64 -3/16 (pow.f64 x 4)) (.f64 -35/256 (pow.f64 x 8)))))
1
(+.f64 1 (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 3/16 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (+.f64 (.f64 -5/32 (pow.f64 x 6)) (*.f64 3/16 (pow.f64 x 4)))))
2
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) 2)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 2 (.f64 11/128 (pow.f64 x 4))))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 -69/1024 (pow.f64 x 6)) (+.f64 2 (*.f64 11/128 (pow.f64 x 4)))))
(fma.f64 1 1 (neg.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2)))
(fma.f64 -1 -1 (neg.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2)))
(fma.f64 1/2 2 (neg.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2)))
(fma.f64 2 1/2 (neg.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 2)) (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 4)) 1)
(fma.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 1)
(fma.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 2) (neg.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 4))) 1)
(fma.f64 1 (neg.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2)) 1)
(fma.f64 -1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2) 1)
(fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1)
(fma.f64 0 0 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2)))
(fma.f64 1 0 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2)))
(fma.f64 0 3 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2)))
(fma.f64 0 1 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2)))
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(/.f64 (.f64 (+.f64 -1 (neg.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3))) 1) (+.f64 -1 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)) (cbrt.f64 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1))) (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1)) 2))
(/.f64 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1) (/.f64 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1) (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))))
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3) 3)) (*.f64 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1) (-.f64 (+.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)) (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3))))
(/.f64 (.f64 (+.f64 -1 (neg.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3))) 1) (.f64 (+.f64 -1 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))) 1))
(/.f64 (.f64 (+.f64 1 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3) 3)) 1) (.f64 (-.f64 (+.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)) (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)) (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1)))
(/.f64 1 (pow.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) -1))
(pow.f64 (exp.f64 (*.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 3)) 1/3)
(pow.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) 1)
(pow.f64 (cbrt.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))) 3)
(pow.f64 (sqrt.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))) 2)
(pow.f64 (pow.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) 2) 1/2)
(pow.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (*.f64 1/3 3))
(pow.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (*.f64 3 1/3))
(pow.f64 (neg.f64 (sqrt.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))))) 2)
(neg.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))
(sqrt.f64 (pow.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) 2))
(cbrt.f64 (exp.f64 (*.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 3)))
(fabs.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))))
(exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))
(exp.f64 (.f64 (.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))))) 2))

Outputs
(*.f64 1/4 (pow.f64 x 2))
(.f64 1/4 (.f64 x x))
(+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 -3/16 (pow.f64 x 4)))
(fma.f64 1/4 (.f64 x x) (.f64 -3/16 (pow.f64 x 4)))
(+.f64 (.f64 5/32 (pow.f64 x 6)) (+.f64 (.f64 1/4 (pow.f64 x 2)) (*.f64 -3/16 (pow.f64 x 4))))
(fma.f64 5/32 (pow.f64 x 6) (fma.f64 1/4 (.f64 x x) (.f64 -3/16 (pow.f64 x 4))))
(+.f64 (.f64 5/32 (pow.f64 x 6)) (+.f64 (.f64 1/4 (pow.f64 x 2)) (+.f64 (.f64 -3/16 (pow.f64 x 4)) (.f64 -35/256 (pow.f64 x 8)))))
(fma.f64 5/32 (pow.f64 x 6) (fma.f64 1/4 (.f64 x x) (fma.f64 -3/16 (pow.f64 x 4) (.f64 -35/256 (pow.f64 x 8)))))
1
(+.f64 1 (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 1 (.f64 -1/4 (.f64 x x)))
(+.f64 1 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 3/16 (pow.f64 x 4))))
(+.f64 1 (fma.f64 -1/4 (.f64 x x) (.f64 3/16 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (+.f64 (.f64 -5/32 (pow.f64 x 6)) (*.f64 3/16 (pow.f64 x 4)))))
(+.f64 1 (fma.f64 -1/4 (.f64 x x) (fma.f64 -5/32 (pow.f64 x 6) (.f64 3/16 (pow.f64 x 4)))))
2
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) 2)
(fma.f64 -1/8 (*.f64 x x) 2)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 2 (.f64 11/128 (pow.f64 x 4))))
(+.f64 (fma.f64 -1/8 (.f64 x x) 2) (.f64 11/128 (pow.f64 x 4)))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 -69/1024 (pow.f64 x 6)) (+.f64 2 (*.f64 11/128 (pow.f64 x 4)))))
(fma.f64 -1/8 (.f64 x x) (fma.f64 -69/1024 (pow.f64 x 6) (+.f64 2 (.f64 11/128 (pow.f64 x 4)))))
(fma.f64 1 1 (neg.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2)))
(-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2))
(fma.f64 -1 -1 (neg.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2)))
(-.f64 (neg.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2)) -1)
(fma.f64 1/2 2 (neg.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2)))
(fma.f64 2 1/2 (neg.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 2)) (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 4)) 1)
(fma.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 1)
(fma.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 2) (neg.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 4))) 1)
(fma.f64 1 (neg.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2)) 1)
(-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2))
(fma.f64 -1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2) 1)
(-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2))
(fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1)
(fma.f64 0 0 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2)))
(fma.f64 1 0 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2)))
(-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2))
(fma.f64 0 3 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2)))
(fma.f64 0 1 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2)))
(if (!=.f64 1 0) (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2)) (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2)))
(if (!=.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2) 0) (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2)) (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2)))
(if (!=.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))) 2) 0) (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))) (/.f64 (+.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 4) (+.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2))) (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))) 2))) (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2)))
(if (!=.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))) 2) 0) (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))) (/.f64 (+.f64 (+.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 4) 1) (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2)) (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))) 2))) (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2)))
(if (!=.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)) 0) (/.f64 1 (/.f64 (+.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 4) (+.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2))) (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)))) (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2)))
(if (!=.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)) 0) (/.f64 1 (/.f64 (+.f64 (+.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 4) 1) (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2)) (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)))) (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2)))
(if (!=.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2)) 0) (/.f64 (+.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 4) (+.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2))) (/.f64 (+.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 4) (+.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2))) (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2)))) (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2)))
(if (!=.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2)) 0) (/.f64 (+.f64 (+.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 4) 1) (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2)) (/.f64 (+.f64 (+.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 4) 1) (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2)) (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2)))) (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2)))
(if (!=.f64 (-.f64 (neg.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2)) 1) 0) (/.f64 (+.f64 -1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 4)) (-.f64 (neg.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2)) 1)) (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2)))
(if (!=.f64 (+.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2)) 0) (/.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 4)) (+.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2))) (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2)))
(if (!=.f64 (+.f64 (/.f64 1 (+.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 4) (+.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2)))) (/.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6) (+.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 4) (+.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2))))) 0) (/.f64 (-.f64 (.f64 (/.f64 1 (+.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 4) (+.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2)))) (/.f64 1 (+.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 4) (+.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2))))) (.f64 (/.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6) (+.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 4) (+.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2)))) (/.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6) (+.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 4) (+.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2)))))) (+.f64 (/.f64 1 (+.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 4) (+.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2)))) (/.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6) (+.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 4) (+.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2)))))) (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2)))
(if (!=.f64 (/.f64 (+.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)) (+.f64 (+.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 4) 1) (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2))) 0) (/.f64 (-.f64 (pow.f64 (/.f64 1 (+.f64 (+.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 4) 1) (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2))) 2) (pow.f64 (/.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6) (+.f64 (+.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 4) 1) (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2))) 2)) (/.f64 (+.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)) (+.f64 (+.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 4) 1) (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2)))) (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2)))
(if (!=.f64 (+.f64 0 (+.f64 -1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2))) 0) (/.f64 (-.f64 0 (pow.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2)) 2)) (+.f64 0 (+.f64 -1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2)))) (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2)))
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(if (!=.f64 (+.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 4) (+.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2))) 0) (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2)) (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2)))
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(/.f64 (*.f64 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1) (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))) (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1))
(*.f64 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1) (/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1)))
(/.f64 (*.f64 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1) (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))) (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1))
(*.f64 (+.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 2) (-.f64 1 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))) (+.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1))
(*.f64 (+.f64 1 (-.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 2) (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))) (+.f64 1 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))))
(*.f64 (-.f64 (+.f64 1 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 2)) (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (+.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1))
(.f64 (+.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 2) (+.f64 1 (.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) -1))) (-.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) -1))
(.f64 (+.f64 (+.f64 1 (.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) -1)) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 2)) (-.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) -1))
(.f64 (.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) 2) 1/2)
(.f64 (.f64 1/2 2) (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))))
(.f64 1/2 (.f64 2 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))))
(.f64 (.f64 1/2 2) (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))))
(/.f64 (+.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)) (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1))
(/.f64 (+.f64 -1 (neg.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3))) (+.f64 -1 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))))
(/.f64 (-.f64 -1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)) (+.f64 -1 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))))
(/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) 1)
(exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) 2)) (cbrt.f64 (+.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)))) (cbrt.f64 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1)))
(/.f64 (cbrt.f64 (.f64 (exp.f64 (.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 2)) (+.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)))) (cbrt.f64 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3) 3)) (/.f64 1 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1))) (-.f64 (+.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)) (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)))
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3) 3)) (*.f64 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1) (-.f64 (+.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)) (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3))) (cbrt.f64 (pow.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) 2))) (cbrt.f64 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1)))
(/.f64 (cbrt.f64 (.f64 (exp.f64 (.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 2)) (+.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)))) (cbrt.f64 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1)))
(/.f64 (.f64 (+.f64 -1 (neg.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3))) 1) (+.f64 -1 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))))
(/.f64 (-.f64 -1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)) (+.f64 -1 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)) (cbrt.f64 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1))) (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1)) 2))
(/.f64 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1) (/.f64 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1) (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))))
(*.f64 (/.f64 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1) (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1)) (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))))
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3) 3)) (*.f64 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1) (-.f64 (+.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)) (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3))))
(/.f64 (.f64 (+.f64 -1 (neg.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3))) 1) (.f64 (+.f64 -1 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))) 1))
(/.f64 (-.f64 -1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)) (+.f64 -1 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))))
(/.f64 (.f64 (+.f64 1 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3) 3)) 1) (.f64 (-.f64 (+.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)) (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)) (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1)))
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3) 3)) (*.f64 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1) (-.f64 (+.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)) (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3))))
(/.f64 1 (pow.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) -1))
(exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))
(pow.f64 (exp.f64 (*.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 3)) 1/3)
(exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))
(pow.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) 1)
(exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))
(pow.f64 (cbrt.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))) 3)
(exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))
(pow.f64 (sqrt.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))) 2)
(exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))
(pow.f64 (pow.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) 2) 1/2)
(exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))
(pow.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (*.f64 1/3 3))
(exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))
(pow.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (*.f64 3 1/3))
(exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))
(pow.f64 (neg.f64 (sqrt.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))))) 2)
(exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))
(neg.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))
(-.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) -1)
(sqrt.f64 (pow.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) 2))
(exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))
(cbrt.f64 (exp.f64 (*.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 3)))
(exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))
(fabs.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))))
(exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))
(exp.f64 (.f64 (.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 3) 1/3))
(exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))))) 2))
(pow.f64 (exp.f64 (log.f64 (sqrt.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))))) 2)

eval2.5s (7.4%)

Compiler: Compiled 93350 to 85108 computations (8.8% saved)

prune1.3s (4%)

Pruning

19 alts after pruning (14 fresh and 5 done)

	Pruned	Kept	Total
New	2080	9	2089
Fresh	5	5	10
Picked	0	1	1
Done	1	4	5
Total	2086	19	2105

Error

Counts

2105 → 19

Alt Table

Click to see full alt table

Status	Error	Program
	29.6b	(fma.f64 1/8 (.f64 x x) (.f64 -11/128 (pow.f64 x 4)))
	14.2b	(pow.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 3) 1/3)
▶	14.8b	(pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) 3)
	35.2b	(/.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 (/.f64 -1/2 x) 1/2)) 6)) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 (/.f64 -1/2 x) 1/2))) (+.f64 (+.f64 1 (pow.f64 (sqrt.f64 (+.f64 (/.f64 -1/2 x) 1/2)) 4)) (pow.f64 (sqrt.f64 (+.f64 (/.f64 -1/2 x) 1/2)) 2))))
	35.3b	(-.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) (/.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 2) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))))
✓	35.3b	(-.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 1/2 x))))
✓	14.2b	(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))
▶	35.5b	(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
	34.6b	(-.f64 1 (sqrt.f64 1/2))
✓	42.8b	(-.f64 1 1)
	35.1b	(*.f64 (/.f64 1 (fma.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 1)) (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 3)))
▶	29.6b	(.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (fma.f64 1/4 (.f64 x x) (*.f64 -3/16 (pow.f64 x 4))))
✓	14.2b	(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2)))
▶	13.8b	(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (-.f64 1 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))))
	35.6b	(*.f64 (-.f64 1 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) (+.f64 1 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))))
	29.2b	(.f64 (cbrt.f64 1/512) (.f64 x x))
▶	29.0b	(.f64 1/8 (.f64 x x))
✓	14.5b	(cbrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 3))
	40.6b	(cbrt.f64 (+.f64 (.f64 -33/8192 (pow.f64 x 8)) (.f64 1/512 (pow.f64 x 6))))

Compiler

Compiled 564 to 499 computations (11.5% saved)

localize48.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(/.f64 1/2 (hypot.f64 -1 x))
✓	0.5b	(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))
✓	0.7b	(pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)
✓	1.5b	(-.f64 1 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)))

Compiler

Compiled 111 to 99 computations (10.8% saved)

series318.0ms (0.9%)

Counts

3 → 12

Calls

9 calls:

Time	Variable		Point	Expression
7.0ms	x	@	inf	(-.f64 1 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)))
3.0ms	x	@	0	(-.f64 1 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)))
2.0ms	x	@	-inf	(-.f64 1 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)))
2.0ms	x	@	-inf	(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))
2.0ms	x	@	inf	(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))

Compiler

Compiled 28610 to 28305 computations (1.1% saved)

rewrite156.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

75×	`egg-rr`
20×	`egg-rr`
16×	`egg-rr`

Counts

3 → 111

Calls

Call 1

Inputs

(-.f64 1 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)))

(pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)

(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)) 0) (/.f64 1 (pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)) -1)) (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)))) (cbrt.f64 (cbrt.f64 (*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (*.f64 2 6))) (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (*.f64 2 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (cbrt.f64 (neg.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (neg.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))) (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))) 2))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))) 2) (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))))) (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (cbrt.f64 (neg.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))))))

simplify1.1s (3.2%)

Algorithm

1×

egglog

Counts

123 → 149

Calls

Call 1

Inputs
(*.f64 1/4 (pow.f64 x 2))
(+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 -3/16 (pow.f64 x 4)))
(+.f64 (.f64 5/32 (pow.f64 x 6)) (+.f64 (.f64 1/4 (pow.f64 x 2)) (*.f64 -3/16 (pow.f64 x 4))))
(+.f64 (.f64 5/32 (pow.f64 x 6)) (+.f64 (.f64 1/4 (pow.f64 x 2)) (+.f64 (.f64 -3/16 (pow.f64 x 4)) (.f64 -35/256 (pow.f64 x 8)))))
1
(+.f64 1 (*.f64 -3/4 (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 3/4 (pow.f64 x 4)) (.f64 -3/4 (pow.f64 x 2))))
(+.f64 1 (+.f64 (.f64 3/4 (pow.f64 x 4)) (+.f64 (.f64 -3/4 (pow.f64 x 2)) (*.f64 -49/64 (pow.f64 x 6)))))
1
(+.f64 1 (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 3/16 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (+.f64 (.f64 -5/32 (pow.f64 x 6)) (*.f64 3/16 (pow.f64 x 4)))))
(fma.f64 1 1 (cbrt.f64 (neg.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))))
(fma.f64 -1 -1 (cbrt.f64 (neg.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))))
(fma.f64 (cbrt.f64 (cbrt.f64 (neg.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)))) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))) 2) 1)
(fma.f64 1 (cbrt.f64 (neg.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))) 1)
(fma.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))) (neg.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))) 2)) 1)
(fma.f64 1/2 2 (cbrt.f64 (neg.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))))
(fma.f64 2 1/2 (cbrt.f64 (neg.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))))
(fma.f64 1 0 (-.f64 1 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))))
(fma.f64 0 1 (-.f64 1 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))))
(fma.f64 0 3 (-.f64 1 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))))
(fma.f64 0 0 (-.f64 1 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))))
(fma.f64 -1 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)) 1)
(if (!=.f64 1 0) (-.f64 1 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))) (-.f64 1 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))))
(if (!=.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)) 0) (-.f64 1 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))) (-.f64 1 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))))
(if (!=.f64 (-.f64 1 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))) 0) (/.f64 (fma.f64 (+.f64 1 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))) (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)) 1) (/.f64 (fma.f64 (+.f64 1 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))) (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)) 1) (-.f64 1 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))))) (-.f64 1 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))))
(if (!=.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))) 2) 0) (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))) (/.f64 (fma.f64 (+.f64 1 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))) (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)) 1) (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))) 2))) (-.f64 1 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))))
(if (!=.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)) 0) (/.f64 1 (/.f64 (fma.f64 (+.f64 1 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))) (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)) 1) (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)))) (-.f64 1 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))))
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(neg.f64 (neg.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)))
(cbrt.f64 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6) 3))
(if (!=.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)) 0) (/.f64 1 (pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)) -1)) (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))) 2))
(.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)))) (cbrt.f64 (cbrt.f64 (.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (.f64 2 6))) (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (.f64 2 6))))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))))
(*.f64 1 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)))
(*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)) 1)
(*.f64 -1 (cbrt.f64 (neg.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))))
(*.f64 (cbrt.f64 (neg.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))) -1)
(.f64 (.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))) (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))) 2))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))) 2) 2)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))) 2) (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))))) (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))) 2)))
(/.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)) 1)
(pow.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6) 1/3)
(pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))) 3)
(neg.f64 (cbrt.f64 (neg.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))))
(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))

Outputs
(*.f64 1/4 (pow.f64 x 2))
(.f64 1/4 (.f64 x x))
(+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 -3/16 (pow.f64 x 4)))
(fma.f64 1/4 (.f64 x x) (.f64 -3/16 (pow.f64 x 4)))
(+.f64 (.f64 5/32 (pow.f64 x 6)) (+.f64 (.f64 1/4 (pow.f64 x 2)) (*.f64 -3/16 (pow.f64 x 4))))
(fma.f64 5/32 (pow.f64 x 6) (fma.f64 1/4 (.f64 x x) (.f64 -3/16 (pow.f64 x 4))))
(+.f64 (.f64 5/32 (pow.f64 x 6)) (+.f64 (.f64 1/4 (pow.f64 x 2)) (+.f64 (.f64 -3/16 (pow.f64 x 4)) (.f64 -35/256 (pow.f64 x 8)))))
(fma.f64 5/32 (pow.f64 x 6) (fma.f64 1/4 (.f64 x x) (fma.f64 -3/16 (pow.f64 x 4) (.f64 -35/256 (pow.f64 x 8)))))
1
(+.f64 1 (*.f64 -3/4 (pow.f64 x 2)))
(+.f64 1 (.f64 -3/4 (.f64 x x)))
(+.f64 1 (+.f64 (.f64 3/4 (pow.f64 x 4)) (.f64 -3/4 (pow.f64 x 2))))
(+.f64 1 (fma.f64 3/4 (pow.f64 x 4) (.f64 -3/4 (.f64 x x))))
(+.f64 1 (+.f64 (.f64 3/4 (pow.f64 x 4)) (+.f64 (.f64 -3/4 (pow.f64 x 2)) (*.f64 -49/64 (pow.f64 x 6)))))
(+.f64 1 (fma.f64 3/4 (pow.f64 x 4) (fma.f64 -3/4 (.f64 x x) (.f64 -49/64 (pow.f64 x 6)))))
1
(+.f64 1 (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 1 (.f64 -1/4 (.f64 x x)))
(+.f64 1 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 3/16 (pow.f64 x 4))))
(+.f64 1 (fma.f64 3/16 (pow.f64 x 4) (.f64 -1/4 (.f64 x x))))
(+.f64 1 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (+.f64 (.f64 -5/32 (pow.f64 x 6)) (*.f64 3/16 (pow.f64 x 4)))))
(+.f64 1 (fma.f64 -1/4 (.f64 x x) (fma.f64 -5/32 (pow.f64 x 6) (.f64 3/16 (pow.f64 x 4)))))
(fma.f64 1 1 (cbrt.f64 (neg.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))))
(-.f64 1 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)))
(fma.f64 -1 -1 (cbrt.f64 (neg.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))))
(-.f64 1 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)))
(fma.f64 (cbrt.f64 (cbrt.f64 (neg.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)))) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))) 2) 1)
(-.f64 1 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)))
(fma.f64 1 (cbrt.f64 (neg.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))) 1)
(-.f64 1 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)))
(fma.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))) (neg.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))) 2)) 1)
(-.f64 1 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)))
(fma.f64 1/2 2 (cbrt.f64 (neg.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))))
(-.f64 1 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)))
(fma.f64 2 1/2 (cbrt.f64 (neg.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))))
(-.f64 1 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)))
(fma.f64 1 0 (-.f64 1 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))))
(-.f64 1 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)))
(fma.f64 0 1 (-.f64 1 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))))
(-.f64 1 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)))
(fma.f64 0 3 (-.f64 1 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))))
(-.f64 1 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)))
(fma.f64 0 0 (-.f64 1 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))))
(-.f64 1 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)))
(fma.f64 -1 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)) 1)
(-.f64 1 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)))
(if (!=.f64 1 0) (-.f64 1 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))) (-.f64 1 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))))
(if (!=.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)) 0) (-.f64 1 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))) (-.f64 1 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))))
(if (!=.f64 (-.f64 1 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))) 0) (/.f64 (fma.f64 (+.f64 1 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))) (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)) 1) (/.f64 (fma.f64 (+.f64 1 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))) (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)) 1) (-.f64 1 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))))) (-.f64 1 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))))
(if (!=.f64 (-.f64 1 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))) 0) (/.f64 (+.f64 1 (+.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 12)) (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)))) (/.f64 (+.f64 1 (+.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 12)) (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)))) (-.f64 1 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))))) (-.f64 1 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))))
(if (!=.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))) 2) 0) (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))) (/.f64 (fma.f64 (+.f64 1 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))) (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)) 1) (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))) 2))) (-.f64 1 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))))
(if (!=.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))) 2) 0) (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))) (/.f64 (+.f64 1 (+.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 12)) (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)))) (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))) 2))) (-.f64 1 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))))
(if (!=.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)) 0) (/.f64 1 (/.f64 (fma.f64 (+.f64 1 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))) (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)) 1) (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)))) (-.f64 1 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))))
(if (!=.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)) 0) (pow.f64 (/.f64 (+.f64 1 (+.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 12)) (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)))) (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))) -1) (-.f64 1 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))))
(if (!=.f64 (-.f64 (cbrt.f64 (neg.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))) 1) 0) (/.f64 (+.f64 -1 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (*.f64 2 6)))) (-.f64 (cbrt.f64 (neg.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))) 1)) (-.f64 1 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))))
(if (!=.f64 (-.f64 -1 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))) 0) (/.f64 (-.f64 1 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 12))) (+.f64 1 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)))) (-.f64 1 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))))
(if (!=.f64 (+.f64 1 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))) 0) (/.f64 (-.f64 1 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (*.f64 2 6)))) (+.f64 1 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)))) (-.f64 1 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))))
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(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))) (cbrt.f64 (.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (.f64 2 6))) (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (.f64 2 6)))))
(pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)
(*.f64 -1 (neg.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)))
(pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)
(*.f64 (neg.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)) -1)
(pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)
(.f64 (cbrt.f64 (.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (.f64 2 6))) (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (.f64 2 6)))) (cbrt.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))))
(pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))) 2) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))) 2) 2) (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))))
(pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))) (.f64 (cbrt.f64 (.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (.f64 2 6))) (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))) (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))))
(pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))) (.f64 (cbrt.f64 (.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (.f64 2 6))) (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (*.f64 2 6)))) 1))
(pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)
(.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)) (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (.f64 2 6))))
(pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)
(.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (.f64 2 6))) (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)))
(pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))) 2) 2) (cbrt.f64 (.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (*.f64 2 6))) (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))))
(pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)
(/.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6) 1)
(pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)
(pow.f64 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)
(pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)
(pow.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6) 1)
(pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)
(pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)) 3)
(pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)
(neg.f64 (neg.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)))
(pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)
(cbrt.f64 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6) 3))
(pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)
(if (!=.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)) 0) (/.f64 1 (pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)) -1)) (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)))
(if (!=.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)) 0) (/.f64 -1 (/.f64 -1 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)))) (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))) 2))
(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))
(.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)))) (cbrt.f64 (cbrt.f64 (.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (.f64 2 6))) (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (.f64 2 6))))))
(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))))
(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))
(*.f64 1 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)))
(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))
(*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)) 1)
(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))
(*.f64 -1 (cbrt.f64 (neg.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))))
(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))
(*.f64 (cbrt.f64 (neg.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))) -1)
(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))
(.f64 (.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))) (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))) 2))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))) 2) 2)))
(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))
(.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))) 2) (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))))) (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))) 2)))
(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))
(/.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)) 1)
(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))
(pow.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6) 1/3)
(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))
(pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)) 1)
(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))
(pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))) 3)
(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))
(neg.f64 (cbrt.f64 (neg.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))))
(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))
(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))

localize9.0ms (0%)

Compiler: Compiled 11 to 5 computations (54.5% saved)

localize20.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))
✓	0.5b	(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))

Compiler

Compiled 26 to 21 computations (19.2% saved)

series67.0ms (0.2%)

Counts

2 → 0

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
1.0ms	x	@	-inf	(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
1.0ms	x	@	0	(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
1.0ms	x	@	-inf	(sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))
1.0ms	x	@	inf	(sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))

Compiler

Compiled 3030 to 2645 computations (12.7% saved)

rewrite189.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

115×	`egg-rr`
24×	`egg-rr`

Counts

2 → 139

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 2 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 1/2 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (neg.f64 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (neg.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 0 3 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 0 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 0 0 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 0 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 1 0) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 0) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 3))) 2) 0) (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 3))) (/.f64 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1) (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 3))) 2))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 0) (/.f64 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1) (/.f64 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) 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cbrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 3))))))

((#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 1/2 (/.f64 1/2 x)) 0) (/.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 2) (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 1/2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 2) (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 2) (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))) (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 4))) (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))))

simplify1.2s (3.6%)

Algorithm

1×

egglog

Counts

139 → 159

Calls

Call 1

Inputs
(fma.f64 1 1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(fma.f64 1/2 2 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(fma.f64 2 1/2 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(fma.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1)
(fma.f64 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (neg.f64 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 1)
(fma.f64 1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1)
(fma.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 1)
(fma.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (neg.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 2)) 1)
(fma.f64 0 3 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(fma.f64 0 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(fma.f64 0 0 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(fma.f64 1 0 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(fma.f64 (cbrt.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 2) 1)
(fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 2) 1)
(if (!=.f64 1 0) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(if (!=.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 0) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(if (!=.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 3))) 2) 0) (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 3))) (/.f64 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1) (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 3))) 2))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(if (!=.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 0) (/.f64 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1) (/.f64 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(if (!=.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 3)) 0) (/.f64 1 (/.f64 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1) (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 3)))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(if (!=.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2)) 0) (/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2)))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(if (!=.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 0) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(if (!=.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2))) 2) 0) (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2))) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2))) 2))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(if (!=.f64 (-.f64 (+.f64 1 (pow.f64 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 2)) (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))) 0) (.f64 (/.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 3)) (+.f64 1 (pow.f64 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 3))) (-.f64 (+.f64 1 (pow.f64 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 2)) (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(if (!=.f64 (-.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1) 0) (/.f64 (+.f64 -1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2)) (-.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1)) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(if (!=.f64 (+.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (/.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))) 0) (/.f64 (-.f64 (.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))) (.f64 (/.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (/.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))) (+.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (/.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(if (!=.f64 (+.f64 0 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -1)) 0) (/.f64 (-.f64 0 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 2)) (+.f64 0 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -1))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
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(*.f64 (+.f64 1 (+.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 2) (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))) (-.f64 1 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(*.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (cbrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 2)) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(*.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(*.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1)
(*.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2)) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(*.f64 -1 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -1))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -1) -1)
(.f64 (.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 2) 1/2)
(.f64 (cbrt.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 3))) (.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 3))) 2) (/.f64 1 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1))))
(.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2)) (.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 1))
(.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 3)) (.f64 (/.f64 1 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1)) 1))
(.f64 1/2 (.f64 2 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(*.f64 (+.f64 -1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2)) (/.f64 1 (neg.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))
(*.f64 (+.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 3) -1) (/.f64 1 (neg.f64 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1))))
(*.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 3)) (/.f64 1 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1)))
(*.f64 (/.f64 1 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1)) (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 3)))
(.f64 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1) (.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (/.f64 1 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1))))
(*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -1)) (neg.f64 (cbrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 2))))
(*.f64 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1) (/.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1)))
(.f64 (.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 2)))) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 2))) 2))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 3) 3)) (/.f64 1 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1))) (+.f64 1 (+.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 6) (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 3))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 6)) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))) (+.f64 (+.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 4) (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2)) 1))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2)) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 2))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2)) (hypot.f64 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1)) (hypot.f64 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 3)) (cbrt.f64 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1))) (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1)) 2))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 3) 3)) (*.f64 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1) (+.f64 1 (+.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 6) (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 3)))))
(/.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 6)) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (+.f64 (+.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 4) (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2)) 1)))
(/.f64 (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2))) (.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(/.f64 (.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 6)) 1) (.f64 (+.f64 (+.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 4) (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2)) 1) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(/.f64 (.f64 (+.f64 -1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2)) 1) (.f64 (neg.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 1))
(/.f64 (.f64 (+.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 3) -1) 1) (.f64 (neg.f64 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1)) 1))
(/.f64 (+.f64 -1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2)) (neg.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(/.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2)) (neg.f64 (neg.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))
(/.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 3)) (neg.f64 (neg.f64 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1))))
(/.f64 (+.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 3) -1) (neg.f64 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1)))
(/.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(/.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 3)) (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1))
(/.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1)
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2)) 1) (neg.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(/.f64 (-.f64 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1) (.f64 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1) (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 3))) (.f64 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1) (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1)))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 2)) (cbrt.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 3)))) (cbrt.f64 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1)))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 3))) (cbrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 2))) (cbrt.f64 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1)))
(/.f64 (*.f64 (+.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 3) -1) 1) (neg.f64 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1)))
(pow.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 3) 1/3)
(pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1)
(pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 3)
(neg.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -1))
(neg.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -1) 0))
(cbrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 3))
(if (!=.f64 (+.f64 1/2 (/.f64 1/2 x)) 0) (/.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(*.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 1)
(.f64 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2) 1/2)
(.f64 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 1/2) 2)
(.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 2) (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(.f64 2 (.f64 1/2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(.f64 1/2 (.f64 2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 2) (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 2) (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))) (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 2))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 2) (.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 4))) (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 1)
(pow.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 3) 1/3)
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 3)
(pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/2)
(pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 1)
(pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 2)
(pow.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2) 1/2)
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))
(sqrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2))
(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 3))
(fabs.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))

Outputs
(fma.f64 1 1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(fma.f64 1/2 2 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(fma.f64 2 1/2 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(fma.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1)
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(fma.f64 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (neg.f64 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 1)
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(fma.f64 1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1)
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(fma.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 1)
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(fma.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (neg.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 2)) 1)
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(fma.f64 0 3 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(fma.f64 0 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(fma.f64 0 0 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(fma.f64 1 0 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(fma.f64 (cbrt.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 2) 1)
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 2) 1)
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(if (!=.f64 1 0) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(if (!=.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 0) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
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(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 3)
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))
(pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/2)
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))
(pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 1)
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))
(pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 2)
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))
(pow.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2) 1/2)
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))
(sqrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2))
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))
(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 3))
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))
(fabs.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))

localize51.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(/.f64 1/2 (hypot.f64 -1 x))
✓	0.5b	(cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))
✓	0.5b	(pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) 3)
	1.9b	(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))

Compiler

Compiled 63 to 55 computations (12.7% saved)

series364.0ms (1.1%)

Counts

2 → 0

Calls

6 calls:

Time	Variable		Point	Expression
16.0ms	x	@	inf	(pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) 3)
3.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) 3)
2.0ms	x	@	0	(pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) 3)
2.0ms	x	@	inf	(cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))
2.0ms	x	@	-inf	(cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))

Compiler

Compiled 17960 to 17400 computations (3.1% saved)

rewrite249.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

119×	`egg-rr`
31×	`egg-rr`

Counts

2 → 150

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) 3)
(cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 -1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 1/2 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 2 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 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simplify447.0ms (1.3%)

Algorithm

1×

egglog

Counts

150 → 183

Calls

Call 1

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

Outputs
(fma.f64 1 1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))
(fma.f64 -1 -1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))
(fma.f64 2 1/2 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))
(fma.f64 1/2 2 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))
(fma.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 1)
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))
(fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 2) 1)
(fma.f64 1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1)
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))
(fma.f64 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) (neg.f64 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) 1)
(fma.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) (neg.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 2)) 1)
(fma.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1)
(fma.f64 0 0 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))
(fma.f64 0 3 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))
(fma.f64 0 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))
(fma.f64 1 0 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))
(if (!=.f64 1 0) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))
(if (!=.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 0) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))
(if (!=.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 0) (/.f64 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1) (/.f64 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))
(if (!=.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3))) 2) 0) (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3))) (/.f64 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1) (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3))) 2))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))
(if (!=.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)) 0) (/.f64 1 (/.f64 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1) (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))
(if (!=.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2)) 0) (/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2)))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))
(if (!=.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2))) 2) 0) (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2))) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2))) 2))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))
(if (!=.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 0) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))
(if (!=.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 0) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))
(if (!=.f64 (-.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1) 0) (/.f64 (+.f64 -1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2)) (-.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1)) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))
(if (!=.f64 (+.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) -1) 0) (/.f64 (+.f64 -1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2)) (+.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) -1)) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))
(if (!=.f64 (+.f64 (/.f64 1 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1)) (/.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3) (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1))) 0) (/.f64 (-.f64 (.f64 (/.f64 1 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1)) (/.f64 1 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1))) (.f64 (/.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3) (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1)) (/.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3) (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1)))) (+.f64 (/.f64 1 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1)) (/.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3) (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1)))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))
(if (!=.f64 (/.f64 (+.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)) (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1)) 0) (/.f64 (-.f64 (pow.f64 (/.f64 1 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1)) 2) (pow.f64 (/.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3) (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1)) 2)) (/.f64 (+.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)) (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))
(if (!=.f64 (+.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (/.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))) 0) (/.f64 (-.f64 (.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))) (.f64 (/.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (/.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))))) (+.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (/.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))
(if (!=.f64 (/.f64 (+.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) 0) (/.f64 (*.f64 (/.f64 (+.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (/.f64 (+.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))
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(.f64 2 (.f64 1/2 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))))
(cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))) 2)) (.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))) 2) 2)) (cbrt.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))) 2)) (cbrt.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))) 2) 2) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))))))
(*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3))) (/.f64 1 (cbrt.f64 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1))))
(cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)) (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1)))
(*.f64 (cbrt.f64 (+.f64 -1 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))) (cbrt.f64 (-.f64 -1 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))))
(cbrt.f64 (*.f64 (+.f64 -1 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (-.f64 -1 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))))
(.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))))) (cbrt.f64 (cbrt.f64 (.f64 (cbrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 2)) (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 2)))))
(cbrt.f64 (cbrt.f64 (.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (.f64 (cbrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 2)) (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 2)))))
(*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2))) (cbrt.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))))
(cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))
(*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))) (cbrt.f64 (-.f64 1 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))))
(cbrt.f64 (*.f64 (-.f64 1 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (+.f64 1 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 2) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))))) (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))) 2)))
(cbrt.f64 (.f64 (cbrt.f64 (.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 2) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))))) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))) 2)))
(*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3))) (cbrt.f64 (/.f64 1 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1))))
(cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)) (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1)))
(/.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) 1)
(cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))
(/.f64 (.f64 (cbrt.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3))) 1) (.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1)) 1))
(cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)) (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1)))
(/.f64 (neg.f64 (cbrt.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)))) (neg.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1))))
(cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)) (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1)))
(/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2))) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))))
(cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))
(/.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3))) (cbrt.f64 (neg.f64 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1))))
(cbrt.f64 (/.f64 (+.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3) -1) (neg.f64 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1))))
(/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3))) (cbrt.f64 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1)))
(cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)) (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1)))
(/.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2))) (cbrt.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))))
(cbrt.f64 (/.f64 (+.f64 -1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2)) (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3))) 1) (cbrt.f64 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1)))
(cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)) (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1)))
(pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1/3)
(cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))
(pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) 1)
(cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))
(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))) 3)
(cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))
(neg.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) -1)))
(cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))

localize64.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(/.f64 1/2 (hypot.f64 -1 x))
✓	0.0b	(.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (fma.f64 1/4 (.f64 x x) (*.f64 -3/16 (pow.f64 x 4))))
✓	0.1b	(*.f64 -3/16 (pow.f64 x 4))
✓	16.3b	(fma.f64 1/4 (.f64 x x) (.f64 -3/16 (pow.f64 x 4)))

Compiler

Compiled 97 to 77 computations (20.6% saved)

series54.0ms (0.2%)

Counts

3 → 30

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (fma.f64 1/4 (.f64 x x) (*.f64 -3/16 (pow.f64 x 4))))
1.0ms	x	@	-inf	(.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (fma.f64 1/4 (.f64 x x) (*.f64 -3/16 (pow.f64 x 4))))
1.0ms	x	@	0	(fma.f64 1/4 (.f64 x x) (.f64 -3/16 (pow.f64 x 4)))
1.0ms	x	@	inf	(fma.f64 1/4 (.f64 x x) (.f64 -3/16 (pow.f64 x 4)))
1.0ms	x	@	-inf	(fma.f64 1/4 (.f64 x x) (.f64 -3/16 (pow.f64 x 4)))

Compiler

Compiled 4770 to 4475 computations (6.2% saved)

rewrite208.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

78×	`egg-rr`
57×	`egg-rr`
41×	`egg-rr`

Counts

3 → 176

Calls

Call 1

Inputs

(fma.f64 1/4 (*.f64 x x) (*.f64 -3/16 (pow.f64 x 4)))

(*.f64 -3/16 (pow.f64 x 4))

(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (fma.f64 1/4 (*.f64 x x) (*.f64 -3/16 (pow.f64 x 4))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/4 (*.f64 x x) (*.f64 -3/16 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/4 (*.f64 x x)) 1 (*.f64 -3/16 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 4) -3/16 (*.f64 1/4 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -3/16 (pow.f64 x 4)) (*.f64 1/4 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -3/16 (pow.f64 x 4)) 1 (*.f64 1/4 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 9/256 (pow.f64 (pow.f64 x 4) 2))) (cbrt.f64 (*.f64 -3/16 (pow.f64 x 4))) (*.f64 1/4 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 -3/16) (*.f64 (cbrt.f64 9/256) (pow.f64 x 4)) (*.f64 1/4 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 x 4) (cbrt.f64 -3/16)) (cbrt.f64 9/256) (*.f64 1/4 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -3/16 (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (pow.f64 (pow.f64 x 4) 2)) (*.f64 1/4 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (neg.f64 (*.f64 -3/16 (pow.f64 x 4))) (*.f64 1/4 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 -3/16 (pow.f64 x 4))) (cbrt.f64 (*.f64 9/256 (pow.f64 (pow.f64 x 4) 2))) (*.f64 1/4 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (cbrt.f64 (pow.f64 (pow.f64 x 4) 2)) -3/16) (*.f64 1/4 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) (*.f64 -3/16 (*.f64 x x)) (*.f64 1/4 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -3/16 (pow.f64 x 4) (*.f64 1/4 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -3/16 (*.f64 x x)) (*.f64 x x) (*.f64 1/4 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 x) (*.f64 1/2 x) (*.f64 -3/16 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/4 (*.f64 x x))) (cbrt.f64 (*.f64 1/16 (pow.f64 x 4))) (*.f64 -3/16 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/4 x) x (*.f64 -3/16 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 1/4) (*.f64 (cbrt.f64 1/16) (*.f64 x x)) (*.f64 -3/16 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 (*.f64 1/2 (*.f64 x x)) (*.f64 -3/16 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/4 (*.f64 x x)) (*.f64 -3/16 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) 1/4 (*.f64 -3/16 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/64 (*.f64 x x))) (cbrt.f64 (pow.f64 x 4)) (*.f64 -3/16 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 (*.f64 1/16 (pow.f64 x 4)) (*.f64 (*.f64 -3/16 (pow.f64 x 4)) (-.f64 (*.f64 -3/16 (pow.f64 x 4)) (*.f64 1/4 (*.f64 x x))))) 0) (/.f64 (+.f64 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simplify405.0ms (1.2%)

Algorithm

1×

egglog

Counts

206 → 278

Calls

Call 1

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

Outputs
(*.f64 1/4 (pow.f64 x 2))
(.f64 (.f64 1/4 x) x)
(+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 -3/16 (pow.f64 x 4)))
(fma.f64 (pow.f64 x 4) -3/16 (.f64 (.f64 1/4 x) x))
(+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 -3/16 (pow.f64 x 4)))
(fma.f64 (pow.f64 x 4) -3/16 (.f64 (.f64 1/4 x) x))
(+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 -3/16 (pow.f64 x 4)))
(fma.f64 (pow.f64 x 4) -3/16 (.f64 (.f64 1/4 x) x))
(*.f64 -3/16 (pow.f64 (/.f64 1 x) -4))
(+.f64 (.f64 1/4 (pow.f64 (/.f64 1 x) -2)) (.f64 -3/16 (pow.f64 (/.f64 1 x) -4)))
(fma.f64 1/4 (pow.f64 (/.f64 1 x) -2) (*.f64 -3/16 (pow.f64 (/.f64 1 x) -4)))
(+.f64 (.f64 1/4 (pow.f64 (/.f64 1 x) -2)) (.f64 -3/16 (pow.f64 (/.f64 1 x) -4)))
(fma.f64 1/4 (pow.f64 (/.f64 1 x) -2) (*.f64 -3/16 (pow.f64 (/.f64 1 x) -4)))
(+.f64 (.f64 1/4 (pow.f64 (/.f64 1 x) -2)) (.f64 -3/16 (pow.f64 (/.f64 1 x) -4)))
(fma.f64 1/4 (pow.f64 (/.f64 1 x) -2) (*.f64 -3/16 (pow.f64 (/.f64 1 x) -4)))
(*.f64 -3/16 (pow.f64 (/.f64 -1 x) -4))
(+.f64 (.f64 1/4 (pow.f64 (/.f64 -1 x) -2)) (.f64 -3/16 (pow.f64 (/.f64 -1 x) -4)))
(fma.f64 1/4 (pow.f64 (/.f64 -1 x) -2) (*.f64 -3/16 (pow.f64 (/.f64 -1 x) -4)))
(+.f64 (.f64 1/4 (pow.f64 (/.f64 -1 x) -2)) (.f64 -3/16 (pow.f64 (/.f64 -1 x) -4)))
(fma.f64 1/4 (pow.f64 (/.f64 -1 x) -2) (*.f64 -3/16 (pow.f64 (/.f64 -1 x) -4)))
(+.f64 (.f64 1/4 (pow.f64 (/.f64 -1 x) -2)) (.f64 -3/16 (pow.f64 (/.f64 -1 x) -4)))
(fma.f64 1/4 (pow.f64 (/.f64 -1 x) -2) (*.f64 -3/16 (pow.f64 (/.f64 -1 x) -4)))
(*.f64 -3/16 (pow.f64 (/.f64 1 x) -4))
(*.f64 -3/16 (pow.f64 (/.f64 1 x) -4))
(*.f64 -3/16 (pow.f64 (/.f64 1 x) -4))
(*.f64 -3/16 (pow.f64 (/.f64 1 x) -4))
(*.f64 -3/16 (pow.f64 (/.f64 -1 x) -4))
(*.f64 -3/16 (pow.f64 (/.f64 -1 x) -4))
(*.f64 -3/16 (pow.f64 (/.f64 -1 x) -4))
(*.f64 -3/16 (pow.f64 (/.f64 -1 x) -4))
(*.f64 1/8 (pow.f64 x 2))
(.f64 1/8 (.f64 x x))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))
(fma.f64 1/8 (.f64 x x) (.f64 -11/128 (pow.f64 x 4)))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 -11/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4))))
(fma.f64 1/8 (.f64 x x) (fma.f64 -11/1024 (pow.f64 x 6) (.f64 -11/128 (pow.f64 x 4))))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 237/32768 (pow.f64 x 8)) (+.f64 (.f64 -11/1024 (pow.f64 x 6)) (.f64 -11/128 (pow.f64 x 4)))))
(fma.f64 1/8 (.f64 x x) (fma.f64 237/32768 (pow.f64 x 8) (fma.f64 -11/1024 (pow.f64 x 6) (.f64 -11/128 (pow.f64 x 4)))))
(+.f64 (.f64 3/64 (/.f64 (pow.f64 (/.f64 1 x) -3) (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2)))))) (.f64 -3/16 (/.f64 (pow.f64 (/.f64 1 x) -4) (+.f64 (sqrt.f64 1/2) 1))))
(fma.f64 3/64 (/.f64 (pow.f64 (/.f64 1 x) -3) (.f64 (+.f64 (sqrt.f64 1/2) 1) (+.f64 (sqrt.f64 1/2) 1/2))) (/.f64 (.f64 -3/16 (pow.f64 (/.f64 1 x) -4)) (+.f64 (sqrt.f64 1/2) 1)))
(+.f64 (.f64 3/64 (/.f64 (pow.f64 (/.f64 1 x) -3) (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2)))))) (+.f64 (.f64 (pow.f64 (/.f64 1 x) -2) (-.f64 (.f64 1/4 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1))) (+.f64 (.f64 3/256 (/.f64 1 (.f64 (pow.f64 (+.f64 (sqrt.f64 1/2) 1) 2) (.f64 (+.f64 1 (sqrt.f64 1/2)) (pow.f64 (sqrt.f64 1/2) 2))))) (.f64 3/32 (/.f64 (pow.f64 (/.f64 1/4 (sqrt.f64 1/2)) 2) (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2))))))))) (.f64 -3/16 (/.f64 (pow.f64 (/.f64 1 x) -4) (+.f64 (sqrt.f64 1/2) 1)))))
(fma.f64 3/64 (/.f64 (pow.f64 (/.f64 1 x) -3) (.f64 (+.f64 (sqrt.f64 1/2) 1) (+.f64 (sqrt.f64 1/2) 1/2))) (fma.f64 (pow.f64 (/.f64 1 x) -2) (-.f64 (/.f64 1/4 (+.f64 (sqrt.f64 1/2) 1)) (fma.f64 3/32 (/.f64 (pow.f64 (/.f64 1/4 (sqrt.f64 1/2)) 2) (.f64 (+.f64 (sqrt.f64 1/2) 1) (+.f64 (sqrt.f64 1/2) 1/2))) (/.f64 3/256 (.f64 (pow.f64 (+.f64 (sqrt.f64 1/2) 1) 2) (.f64 (+.f64 (sqrt.f64 1/2) 1) 1/2))))) (/.f64 (*.f64 -3/16 (pow.f64 (/.f64 1 x) -4)) (+.f64 (sqrt.f64 1/2) 1))))
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(/.f64 (fma.f64 (pow.f64 x 4) -3/16 (.f64 (.f64 1/4 x) x)) (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))))
(neg.f64 (neg.f64 (/.f64 (fma.f64 (pow.f64 x 4) -3/16 (.f64 1/4 (.f64 x x))) (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))))))
(/.f64 (fma.f64 (pow.f64 x 4) -3/16 (.f64 (.f64 1/4 x) x)) (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))))
(neg.f64 (.f64 (neg.f64 (exp.f64 (neg.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))))) (fma.f64 (pow.f64 x 4) -3/16 (.f64 1/4 (*.f64 x x)))))
(/.f64 (fma.f64 (pow.f64 x 4) -3/16 (.f64 (.f64 1/4 x) x)) (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))))
(neg.f64 (.f64 (fma.f64 (pow.f64 x 4) -3/16 (.f64 1/4 (*.f64 x x))) (neg.f64 (exp.f64 (neg.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))))))
(/.f64 (fma.f64 (pow.f64 x 4) -3/16 (.f64 (.f64 1/4 x) x)) (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))))
(neg.f64 (/.f64 (fma.f64 (pow.f64 x 4) -3/16 (.f64 1/4 (.f64 x x))) (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 4) -3/16 (.f64 (.f64 1/4 x) x))) (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 (pow.f64 x 4) -3/16 (.f64 1/4 (.f64 x x))) (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))) 3))
(/.f64 (fma.f64 (pow.f64 x 4) -3/16 (.f64 (.f64 1/4 x) x)) (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))))

eval2.0s (6%)

Compiler: Compiled 67021 to 59849 computations (10.7% saved)

prune649.0ms (1.9%)

Pruning

19 alts after pruning (10 fresh and 9 done)

	Pruned	Kept	Total
New	1653	4	1657
Fresh	3	6	9
Picked	1	0	1
Done	0	9	9
Total	1657	19	1676

Error

Counts

1676 → 19

Alt Table

Click to see full alt table

Status	Error	Program
	29.6b	(fma.f64 1/8 (.f64 x x) (.f64 -11/128 (pow.f64 x 4)))
	14.2b	(pow.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 3) 1/3)
▶	14.2b	(pow.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1/3) 3)
✓	14.8b	(pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) 3)
	35.2b	(/.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 (/.f64 -1/2 x) 1/2)) 6)) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 (/.f64 -1/2 x) 1/2))) (+.f64 (+.f64 1 (pow.f64 (sqrt.f64 (+.f64 (/.f64 -1/2 x) 1/2)) 4)) (pow.f64 (sqrt.f64 (+.f64 (/.f64 -1/2 x) 1/2)) 2))))
▶	35.5b	(-.f64 1 (if (!=.f64 (+.f64 1/2 (/.f64 1/2 x)) 0) (/.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
✓	35.3b	(-.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 1/2 x))))
✓	14.2b	(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))
✓	35.5b	(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
▶	34.6b	(-.f64 1 (sqrt.f64 1/2))
✓	42.8b	(-.f64 1 1)
✓	14.2b	(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2)))
✓	13.8b	(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (-.f64 1 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))))
	35.3b	(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (-.f64 1 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 6))))
▶	29.6b	(.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (.f64 (.f64 x x) (+.f64 (.f64 -3/16 (*.f64 x x)) 1/4)))
▶	35.6b	(*.f64 (-.f64 1 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) (+.f64 1 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))))
	29.2b	(.f64 (cbrt.f64 1/512) (.f64 x x))
✓	29.0b	(.f64 1/8 (.f64 x x))
✓	14.5b	(cbrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 3))

Compiler

Compiled 498 to 439 computations (11.8% saved)

localize29.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(/.f64 1/2 (hypot.f64 -1 x))
✓	0.5b	(pow.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1/3) 3)
✓	0.5b	(pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1/3)
	1.9b	(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))

Compiler

Compiled 66 to 58 computations (12.1% saved)

series300.0ms (0.9%)

Counts

2 → 0

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(pow.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1/3) 3)
1.0ms	x	@	-inf	(pow.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1/3) 3)
1.0ms	x	@	inf	(pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1/3)
1.0ms	x	@	-inf	(pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1/3)
0.0ms	x	@	0	(pow.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1/3) 3)

Compiler

Compiled 17960 to 17400 computations (3.1% saved)

rewrite191.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

113×	`egg-rr`
30×	`egg-rr`

Counts

2 → 143

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) 0) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) -1)) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))) 2) (cbrt.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))) (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))) 2))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 1/2 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3))) (/.f64 1 (cbrt.f64 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 2) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))))) (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) -1)) (cbrt.f64 (-.f64 -1 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))))) (cbrt.f64 (cbrt.f64 (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 2)) (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1)) (cbrt.f64 (-.f64 1 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2))) (cbrt.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3))) (cbrt.f64 (/.f64 1 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3))) 1) (*.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cbrt.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)))) (neg.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3))) (cbrt.f64 (neg.f64 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2))) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3))) (cbrt.f64 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2))) (cbrt.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3))) 1) (cbrt.f64 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))))))

((#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 -1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 2 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 1/2 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) (neg.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) (neg.f64 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) 1)))) 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simplify261.0ms (0.8%)

Algorithm

1×

egglog

Counts

143 → 174

Calls

Call 1

Inputs
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(-.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) -1)
(*.f64 (+.f64 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) -1) (-.f64 -1 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))))
(*.f64 (+.f64 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1) (-.f64 1 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))))
(*.f64 (-.f64 -1 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (+.f64 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) -1))
(*.f64 (-.f64 1 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (+.f64 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1))
(.f64 (.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 2) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))))) (cbrt.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))))) (cbrt.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))))
(.f64 (cbrt.f64 (.f64 (cbrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 2)) (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 2))) (cbrt.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))))
(*.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (cbrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 2)))
(*.f64 (-.f64 1 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (-.f64 1 (neg.f64 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))))
(*.f64 (-.f64 -1 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (-.f64 -1 (neg.f64 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))))
(*.f64 (+.f64 1 (+.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 2) (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))) (-.f64 1 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))))
(*.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))
(*.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1)
(.f64 (cbrt.f64 (.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 2) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))))) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))) 2))
(.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))) (cbrt.f64 (.f64 (cbrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 2)) (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 2))))
(*.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)) (/.f64 1 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1)))
(*.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2)) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 2)) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))))
(*.f64 -1 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) -1))
(*.f64 (/.f64 1 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1)) (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))) 2) (cbrt.f64 (.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 2) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))))))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) -1) -1)
(.f64 (.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 2) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))))) (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))) 2))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))) 2) 2)))
(.f64 (.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 2) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))))) 1) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))) 2))
(.f64 (.f64 (cbrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 2)) -1) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) -1)))
(.f64 1/2 (.f64 2 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))))
(.f64 2 (.f64 1/2 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))))
(.f64 (cbrt.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3))) (.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3))) 2) (/.f64 1 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1))))
(*.f64 -1 (-.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))))
(*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) -1)) (neg.f64 (cbrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 2))))
(*.f64 (+.f64 -1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)) (/.f64 1 (neg.f64 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1))))
(*.f64 (+.f64 -1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2)) (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))))
(/.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))
(/.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)) (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1))
(/.f64 (-.f64 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1) (.f64 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1) (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3))) (.f64 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1) (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3) 3)) (/.f64 1 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1))) (+.f64 1 (+.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6) (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))) (+.f64 (+.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 4)) (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2)))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)) (cbrt.f64 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1))) (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1)) 2))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2)) (hypot.f64 1 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))) (hypot.f64 1 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2)) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) 2))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3) 3)) (*.f64 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1) (+.f64 1 (+.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6) (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)))))
(/.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) (+.f64 (+.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 4)) (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2))))
(/.f64 (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) (.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2))) (.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))))
(/.f64 (.f64 (+.f64 -1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2)) 1) (.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1))
(/.f64 (.f64 (+.f64 -1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)) 1) (.f64 (neg.f64 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1)) 1))
(/.f64 (.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)) 1) (.f64 (+.f64 (+.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 4)) (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))))
(/.f64 (.f64 (-.f64 1 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3) 3)) 1) (.f64 (+.f64 1 (+.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6) (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3))) (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1)))
(/.f64 (+.f64 -1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2)) (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))
(/.f64 (+.f64 -1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)) (neg.f64 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1)))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 2)) (cbrt.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)))) (cbrt.f64 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1)))
(/.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1)
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)) 1) (neg.f64 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1)))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2)) 1) (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3))) (cbrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 2))) (cbrt.f64 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1)))
(pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) 3)
(pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1)
(pow.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 3) 1/3)
(neg.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) -1))
(neg.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) -1) 0))
(cbrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 3))

Outputs
(if (!=.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) 0) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) -1)) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))))
(if (!=.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) 0) (pow.f64 (/.f64 1 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))) -1) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))))
(*.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))) 2))
(cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))) 2) (cbrt.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))))
(cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))
(*.f64 1 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))))
(cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))
(*.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) 1)
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(/.f64 (+.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3) -1) (neg.f64 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1)))
(*.f64 (+.f64 -1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2)) (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))))
(/.f64 (+.f64 -1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2)) (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))
(/.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))
(/.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)) (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1))
(/.f64 (-.f64 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1) (.f64 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1) (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3))) (.f64 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1) (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1)))
(/.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)) (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3) 3)) (/.f64 1 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1))) (+.f64 1 (+.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6) (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3) 3)) (*.f64 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1) (+.f64 1 (+.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6) (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))) (+.f64 (+.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 4)) (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2)))
(/.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) (+.f64 1 (+.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 4) (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2)))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)) (cbrt.f64 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1))) (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1)) 2))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2)) (hypot.f64 1 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))) (hypot.f64 1 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2)) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) 2))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3) 3)) (*.f64 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1) (+.f64 1 (+.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6) (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)))))
(/.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) (+.f64 (+.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 4)) (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2))))
(/.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) (+.f64 1 (+.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 4) (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2)))))
(/.f64 (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) (.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2))) (.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))
(/.f64 (.f64 (+.f64 -1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2)) 1) (.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1))
(/.f64 (+.f64 -1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2)) (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))
(/.f64 (.f64 (+.f64 -1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)) 1) (.f64 (neg.f64 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1)) 1))
(/.f64 (+.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3) -1) (neg.f64 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1)))
(/.f64 (.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)) 1) (.f64 (+.f64 (+.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 4)) (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))))
(/.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6)) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) (+.f64 1 (+.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 4) (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2)))))
(/.f64 (.f64 (-.f64 1 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3) 3)) 1) (.f64 (+.f64 1 (+.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6) (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3))) (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1)))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3) 3)) (*.f64 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1) (+.f64 1 (+.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6) (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)))))
(/.f64 (+.f64 -1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2)) (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))
(/.f64 (+.f64 -1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)) (neg.f64 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1)))
(/.f64 (+.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3) -1) (neg.f64 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1)))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 2)) (cbrt.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)))) (cbrt.f64 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1)))
(/.f64 (cbrt.f64 (*.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)) (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 2))) (cbrt.f64 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1)))
(/.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1)
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)) 1) (neg.f64 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1)))
(/.f64 (+.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3) -1) (neg.f64 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1)))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2)) 1) (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))
(/.f64 (+.f64 -1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2)) (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3))) (cbrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 2))) (cbrt.f64 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1)))
(/.f64 (cbrt.f64 (*.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)) (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 2))) (cbrt.f64 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1)))
(pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) 3)
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))
(pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1)
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))
(pow.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 3) 1/3)
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))
(neg.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) -1))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))
(neg.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) -1) 0))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))
(cbrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 3))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))

localize30.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	1.0b	(-.f64 1 (sqrt.f64 1/2))

Compiler

Compiled 9 to 9 computations (0% saved)

series0.0ms (0%)

Counts: 1 → 0
Compiler: Compiled 10 to 10 computations (0% saved)

rewrite151.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

192× egg-rr

Counts

1 → 192

Calls

Call 1

Inputs
(-.f64 1 (sqrt.f64 1/2))

Outputs

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1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2)) (cbrt.f64 (-.f64 1 (sqrt.f64 1/8)))) (cbrt.f64 (+.f64 3/2 (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 7/8 (*.f64 2 (-.f64 1 (sqrt.f64 1/2)))) 7/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (sqrt.f64 1/8)) 1) (neg.f64 (+.f64 3/2 (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 1/8))) (cbrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2))) (cbrt.f64 (+.f64 3/2 (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (*.f64 (/.f64 (+.f64 1 (sqrt.f64 1/2)) (sqrt.f64 1/2)) (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (neg.f64 (neg.f64 (+.f64 1 (sqrt.f64 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 1 (sqrt.f64 1/2)) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (sqrt.f64 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 (sqrt.f64 1/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (+.f64 (sqrt.f64 1/2) -1) 0))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3))))))

simplify310.0ms (0.9%)

Algorithm

1×

egglog

Counts

192 → 247

Calls

Call 1

Inputs
(fma.f64 1 1 (neg.f64 (sqrt.f64 1/2)))
(fma.f64 1 (neg.f64 (sqrt.f64 1/2)) 1)
(fma.f64 (sqrt.f64 (sqrt.f64 1/2)) (neg.f64 (sqrt.f64 (sqrt.f64 1/2))) 1)
(fma.f64 -1 (sqrt.f64 1/2) 1)
(fma.f64 (neg.f64 (sqrt.f64 (sqrt.f64 1/2))) (sqrt.f64 (sqrt.f64 1/2)) 1)
(fma.f64 (cbrt.f64 (sqrt.f64 1/2)) (neg.f64 (cbrt.f64 1/2)) 1)
(fma.f64 0 1 (-.f64 1 (sqrt.f64 1/2)))
(fma.f64 0 0 (-.f64 1 (sqrt.f64 1/2)))
(fma.f64 0 3 (-.f64 1 (sqrt.f64 1/2)))
(fma.f64 1 0 (-.f64 1 (sqrt.f64 1/2)))
(fma.f64 (cbrt.f64 (neg.f64 (sqrt.f64 1/2))) (cbrt.f64 1/2) 1)
(fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 1/2) 1)
(fma.f64 2 1/2 (neg.f64 (sqrt.f64 1/2)))
(if (!=.f64 1 0) (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2)))
(if (!=.f64 (sqrt.f64 1/2) 0) (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2)))
(if (!=.f64 1/2 0) (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2)))
(if (!=.f64 (cbrt.f64 1/4) 0) (/.f64 (cbrt.f64 1/2) (/.f64 (+.f64 1 (sqrt.f64 1/2)) (cbrt.f64 1/4))) (-.f64 1 (sqrt.f64 1/2)))
(if (!=.f64 (neg.f64 (sqrt.f64 1/2)) 0) (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2)))
(if (!=.f64 (sqrt.f64 (sqrt.f64 1/2)) 0) (/.f64 (sqrt.f64 (sqrt.f64 1/2)) (/.f64 (/.f64 (+.f64 1 (sqrt.f64 1/2)) (sqrt.f64 1/2)) (sqrt.f64 (sqrt.f64 1/2)))) (-.f64 1 (sqrt.f64 1/2)))
(if (!=.f64 (cbrt.f64 1/2) 0) (/.f64 (cbrt.f64 (sqrt.f64 1/2)) (/.f64 (/.f64 (+.f64 1 (sqrt.f64 1/2)) (sqrt.f64 1/2)) (cbrt.f64 1/2))) (-.f64 1 (sqrt.f64 1/2)))
(if (!=.f64 (cbrt.f64 (sqrt.f64 1/2)) 0) (/.f64 (cbrt.f64 1/2) (/.f64 (/.f64 (+.f64 1 (sqrt.f64 1/2)) (sqrt.f64 1/2)) (cbrt.f64 (sqrt.f64 1/2)))) (-.f64 1 (sqrt.f64 1/2)))
(if (!=.f64 (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 1/8))) 2) 0) (/.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 1/8))) (/.f64 (+.f64 3/2 (sqrt.f64 1/2)) (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 1/8))) 2))) (-.f64 1 (sqrt.f64 1/2)))
(if (!=.f64 (-.f64 1 (sqrt.f64 1/8)) 0) (/.f64 1 (/.f64 (+.f64 3/2 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/8)))) (-.f64 1 (sqrt.f64 1/2)))
(if (!=.f64 (-.f64 1 (sqrt.f64 1/2)) 0) (/.f64 (+.f64 3/2 (sqrt.f64 1/2)) (/.f64 (+.f64 3/2 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2)))) (-.f64 1 (sqrt.f64 1/2)))
(if (!=.f64 (sqrt.f64 (sqrt.f64 1/2)) 0) (/.f64 (sqrt.f64 (sqrt.f64 1/8)) (/.f64 (+.f64 1 (sqrt.f64 1/2)) (sqrt.f64 (sqrt.f64 1/2)))) (-.f64 1 (sqrt.f64 1/2)))
(if (!=.f64 (.f64 (cbrt.f64 1/2) (sqrt.f64 1/2)) 0) (/.f64 (cbrt.f64 (sqrt.f64 1/2)) (/.f64 (+.f64 1 (sqrt.f64 1/2)) (.f64 (cbrt.f64 1/2) (sqrt.f64 1/2)))) (-.f64 1 (sqrt.f64 1/2)))
(if (!=.f64 (cbrt.f64 1/2) 0) (/.f64 (cbrt.f64 1/4) (/.f64 (+.f64 1 (sqrt.f64 1/2)) (cbrt.f64 1/2))) (-.f64 1 (sqrt.f64 1/2)))
(if (!=.f64 (sqrt.f64 (sqrt.f64 1/8)) 0) (/.f64 (sqrt.f64 (sqrt.f64 1/2)) (/.f64 (+.f64 1 (sqrt.f64 1/2)) (sqrt.f64 (sqrt.f64 1/8)))) (-.f64 1 (sqrt.f64 1/2)))
(if (!=.f64 (-.f64 1 (sqrt.f64 1/2)) 0) (/.f64 (+.f64 1 (sqrt.f64 1/2)) (/.f64 (+.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2)))) (-.f64 1 (sqrt.f64 1/2)))
(if (!=.f64 (-.f64 (neg.f64 (sqrt.f64 1/2)) 1) 0) (/.f64 -1/2 (-.f64 (neg.f64 (sqrt.f64 1/2)) 1)) (-.f64 1 (sqrt.f64 1/2)))
(if (!=.f64 (+.f64 0 (+.f64 (sqrt.f64 1/2) -1)) 0) (/.f64 (-.f64 0 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2)) (+.f64 0 (+.f64 (sqrt.f64 1/2) -1))) (-.f64 1 (sqrt.f64 1/2)))
(if (!=.f64 (+.f64 (.f64 2 (-.f64 1 (sqrt.f64 1/2))) (-.f64 1 (sqrt.f64 1/2))) 0) (/.f64 (-.f64 (.f64 (.f64 2 (-.f64 1 (sqrt.f64 1/2))) (.f64 2 (-.f64 1 (sqrt.f64 1/2)))) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2)) (+.f64 (*.f64 2 (-.f64 1 (sqrt.f64 1/2))) (-.f64 1 (sqrt.f64 1/2)))) (-.f64 1 (sqrt.f64 1/2)))
(if (!=.f64 (+.f64 (/.f64 1 (+.f64 3/2 (sqrt.f64 1/2))) (/.f64 (sqrt.f64 1/8) (+.f64 3/2 (sqrt.f64 1/2)))) 0) (/.f64 (-.f64 (.f64 (/.f64 1 (+.f64 3/2 (sqrt.f64 1/2))) (/.f64 1 (+.f64 3/2 (sqrt.f64 1/2)))) (.f64 (/.f64 (sqrt.f64 1/8) (+.f64 3/2 (sqrt.f64 1/2))) (/.f64 (sqrt.f64 1/8) (+.f64 3/2 (sqrt.f64 1/2))))) (+.f64 (/.f64 1 (+.f64 3/2 (sqrt.f64 1/2))) (/.f64 (sqrt.f64 1/8) (+.f64 3/2 (sqrt.f64 1/2))))) (-.f64 1 (sqrt.f64 1/2)))
(if (!=.f64 (+.f64 3/2 (sqrt.f64 1/2)) 0) (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2)))
(if (!=.f64 0 0) (/.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3) (+.f64 0 (+.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2) (*.f64 0 (+.f64 (sqrt.f64 1/2) -1))))) (-.f64 1 (sqrt.f64 1/2)))
(if (!=.f64 (.f64 2 (-.f64 1 (sqrt.f64 1/2))) 0) (/.f64 (-.f64 (pow.f64 (.f64 2 (-.f64 1 (sqrt.f64 1/2))) 3) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3)) (+.f64 (.f64 (.f64 2 (-.f64 1 (sqrt.f64 1/2))) (.f64 2 (-.f64 1 (sqrt.f64 1/2)))) (+.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2) (.f64 (*.f64 2 (-.f64 1 (sqrt.f64 1/2))) (-.f64 1 (sqrt.f64 1/2)))))) (-.f64 1 (sqrt.f64 1/2)))
(if (!=.f64 (/.f64 1 (+.f64 3/2 (sqrt.f64 1/2))) 0) (/.f64 (-.f64 (pow.f64 (/.f64 1 (+.f64 3/2 (sqrt.f64 1/2))) 3) (pow.f64 (/.f64 (sqrt.f64 1/8) (+.f64 3/2 (sqrt.f64 1/2))) 3)) (+.f64 (.f64 (/.f64 1 (+.f64 3/2 (sqrt.f64 1/2))) (/.f64 1 (+.f64 3/2 (sqrt.f64 1/2)))) (+.f64 (.f64 (/.f64 (sqrt.f64 1/8) (+.f64 3/2 (sqrt.f64 1/2))) (/.f64 (sqrt.f64 1/8) (+.f64 3/2 (sqrt.f64 1/2)))) (*.f64 (/.f64 1 (+.f64 3/2 (sqrt.f64 1/2))) (/.f64 (sqrt.f64 1/8) (+.f64 3/2 (sqrt.f64 1/2))))))) (-.f64 1 (sqrt.f64 1/2)))
(if (!=.f64 (+.f64 (sqrt.f64 1/2) -1) 0) (/.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3) (+.f64 0 (+.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2) (*.f64 0 (+.f64 (sqrt.f64 1/2) -1))))) (-.f64 1 (sqrt.f64 1/2)))
(if (!=.f64 (-.f64 1 (sqrt.f64 1/2)) 0) (/.f64 (-.f64 (pow.f64 (.f64 2 (-.f64 1 (sqrt.f64 1/2))) 3) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3)) (+.f64 (.f64 (.f64 2 (-.f64 1 (sqrt.f64 1/2))) (.f64 2 (-.f64 1 (sqrt.f64 1/2)))) (+.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2) (.f64 (.f64 2 (-.f64 1 (sqrt.f64 1/2))) (-.f64 1 (sqrt.f64 1/2)))))) (-.f64 1 (sqrt.f64 1/2)))
(if (!=.f64 (/.f64 (sqrt.f64 1/8) (+.f64 3/2 (sqrt.f64 1/2))) 0) (/.f64 (-.f64 (pow.f64 (/.f64 1 (+.f64 3/2 (sqrt.f64 1/2))) 3) (pow.f64 (/.f64 (sqrt.f64 1/8) (+.f64 3/2 (sqrt.f64 1/2))) 3)) (+.f64 (.f64 (/.f64 1 (+.f64 3/2 (sqrt.f64 1/2))) (/.f64 1 (+.f64 3/2 (sqrt.f64 1/2)))) (+.f64 (.f64 (/.f64 (sqrt.f64 1/8) (+.f64 3/2 (sqrt.f64 1/2))) (/.f64 (sqrt.f64 1/8) (+.f64 3/2 (sqrt.f64 1/2)))) (*.f64 (/.f64 1 (+.f64 3/2 (sqrt.f64 1/2))) (/.f64 (sqrt.f64 1/8) (+.f64 3/2 (sqrt.f64 1/2))))))) (-.f64 1 (sqrt.f64 1/2)))
(if (!=.f64 (+.f64 0 (+.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2) (.f64 0 (+.f64 (sqrt.f64 1/2) -1)))) 0) (/.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3) (+.f64 0 (+.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2) (.f64 0 (+.f64 (sqrt.f64 1/2) -1))))) (-.f64 1 (sqrt.f64 1/2)))
(if (!=.f64 (+.f64 (.f64 (.f64 2 (-.f64 1 (sqrt.f64 1/2))) (.f64 2 (-.f64 1 (sqrt.f64 1/2)))) (+.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2) (.f64 (.f64 2 (-.f64 1 (sqrt.f64 1/2))) (-.f64 1 (sqrt.f64 1/2))))) 0) (/.f64 (-.f64 (pow.f64 (.f64 2 (-.f64 1 (sqrt.f64 1/2))) 3) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3)) (+.f64 (.f64 (.f64 2 (-.f64 1 (sqrt.f64 1/2))) (.f64 2 (-.f64 1 (sqrt.f64 1/2)))) (+.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2) (.f64 (*.f64 2 (-.f64 1 (sqrt.f64 1/2))) (-.f64 1 (sqrt.f64 1/2)))))) (-.f64 1 (sqrt.f64 1/2)))
(if (!=.f64 (+.f64 (.f64 (/.f64 1 (+.f64 3/2 (sqrt.f64 1/2))) (/.f64 1 (+.f64 3/2 (sqrt.f64 1/2)))) (+.f64 (.f64 (/.f64 (sqrt.f64 1/8) (+.f64 3/2 (sqrt.f64 1/2))) (/.f64 (sqrt.f64 1/8) (+.f64 3/2 (sqrt.f64 1/2)))) (.f64 (/.f64 1 (+.f64 3/2 (sqrt.f64 1/2))) (/.f64 (sqrt.f64 1/8) (+.f64 3/2 (sqrt.f64 1/2)))))) 0) (/.f64 (-.f64 (pow.f64 (/.f64 1 (+.f64 3/2 (sqrt.f64 1/2))) 3) (pow.f64 (/.f64 (sqrt.f64 1/8) (+.f64 3/2 (sqrt.f64 1/2))) 3)) (+.f64 (.f64 (/.f64 1 (+.f64 3/2 (sqrt.f64 1/2))) (/.f64 1 (+.f64 3/2 (sqrt.f64 1/2)))) (+.f64 (.f64 (/.f64 (sqrt.f64 1/8) (+.f64 3/2 (sqrt.f64 1/2))) (/.f64 (sqrt.f64 1/8) (+.f64 3/2 (sqrt.f64 1/2)))) (.f64 (/.f64 1 (+.f64 3/2 (sqrt.f64 1/2))) (/.f64 (sqrt.f64 1/8) (+.f64 3/2 (sqrt.f64 1/2))))))) (-.f64 1 (sqrt.f64 1/2)))
(if (!=.f64 (+.f64 1 (sqrt.f64 1/2)) 0) (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2)))
(if (!=.f64 (-.f64 3/2 (sqrt.f64 1/2)) 0) (*.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 1/8))) (-.f64 3/2 (sqrt.f64 1/2))) (-.f64 1 (sqrt.f64 1/2)))
(if (!=.f64 (+.f64 1 (.f64 (+.f64 1/2 (sqrt.f64 1/2)) (-.f64 (+.f64 1/2 (sqrt.f64 1/2)) 1))) 0) (.f64 (/.f64 (-.f64 1 (sqrt.f64 1/8)) (+.f64 1 (pow.f64 (+.f64 1/2 (sqrt.f64 1/2)) 3))) (+.f64 1 (*.f64 (+.f64 1/2 (sqrt.f64 1/2)) (-.f64 (+.f64 1/2 (sqrt.f64 1/2)) 1)))) (-.f64 1 (sqrt.f64 1/2)))
(+.f64 1 (neg.f64 (sqrt.f64 1/2)))
(+.f64 (neg.f64 (sqrt.f64 1/2)) 1)
(+.f64 (-.f64 (*.f64 2 (-.f64 1 (sqrt.f64 1/2))) 0) (+.f64 (sqrt.f64 1/2) -1))
(+.f64 (-.f64 (.f64 2 (-.f64 1 (sqrt.f64 1/2))) (.f64 2 (-.f64 1 (sqrt.f64 1/2)))) (-.f64 1 (sqrt.f64 1/2)))
(+.f64 (-.f64 (*.f64 2 (-.f64 1 (sqrt.f64 1/2))) (/.f64 1 (+.f64 3/2 (sqrt.f64 1/2)))) (/.f64 (sqrt.f64 1/8) (+.f64 3/2 (sqrt.f64 1/2))))
(+.f64 (-.f64 (*.f64 2 (-.f64 1 (sqrt.f64 1/2))) 1) (sqrt.f64 1/2))
(+.f64 (neg.f64 (sqrt.f64 1/2)) (*.f64 -1 -1))
(+.f64 (.f64 (-.f64 1 (sqrt.f64 1/2)) 1/2) (.f64 (-.f64 1 (sqrt.f64 1/2)) 1/2))
(+.f64 (-.f64 1/2 (sqrt.f64 1/8)) (-.f64 1/2 (sqrt.f64 1/8)))
(+.f64 (*.f64 2 (-.f64 1 (sqrt.f64 1/2))) (+.f64 (sqrt.f64 1/2) -1))
(+.f64 0 (-.f64 1 (sqrt.f64 1/2)))
(+.f64 (+.f64 (neg.f64 (sqrt.f64 1/2)) 1/2) 1/2)
(+.f64 1/2 (-.f64 1/2 (sqrt.f64 1/2)))
(+.f64 (/.f64 1 (+.f64 3/2 (sqrt.f64 1/2))) (neg.f64 (/.f64 (sqrt.f64 1/8) (+.f64 3/2 (sqrt.f64 1/2)))))
(-.f64 (*.f64 2 (-.f64 1 (sqrt.f64 1/2))) (-.f64 1 (sqrt.f64 1/2)))
(-.f64 1 (sqrt.f64 1/2))
(-.f64 0 (+.f64 (sqrt.f64 1/2) -1))
(-.f64 (+.f64 1 0) (sqrt.f64 1/2))
(-.f64 (neg.f64 (sqrt.f64 1/2)) -1)
(-.f64 (-.f64 (*.f64 2 (-.f64 1 (sqrt.f64 1/2))) 1) (neg.f64 (sqrt.f64 1/2)))
(-.f64 (-.f64 (*.f64 2 (-.f64 1 (sqrt.f64 1/2))) (neg.f64 (sqrt.f64 1/2))) 1)
(-.f64 1 (+.f64 1 (+.f64 (sqrt.f64 1/2) -1)))
(-.f64 (+.f64 (sqrt.f64 1/2) -1) (/.f64 1 (neg.f64 (+.f64 1 (sqrt.f64 1/2)))))
(-.f64 (/.f64 1 (+.f64 3/2 (sqrt.f64 1/2))) (/.f64 (sqrt.f64 1/8) (+.f64 3/2 (sqrt.f64 1/2))))
(*.f64 (+.f64 1 (sqrt.f64 (sqrt.f64 1/2))) (-.f64 1 (sqrt.f64 (sqrt.f64 1/2))))
(*.f64 1 (-.f64 1 (sqrt.f64 1/2)))
(*.f64 (-.f64 1 (sqrt.f64 1/2)) 1)
(*.f64 -1 (+.f64 (sqrt.f64 1/2) -1))
(*.f64 (+.f64 (sqrt.f64 1/2) -1) -1)
(*.f64 (-.f64 1 (sqrt.f64 (sqrt.f64 1/2))) (+.f64 1 (sqrt.f64 (sqrt.f64 1/2))))
(.f64 (.f64 -1 (+.f64 1 (sqrt.f64 (sqrt.f64 1/2)))) (+.f64 (sqrt.f64 (sqrt.f64 1/2)) -1))
(.f64 (.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 1/2))) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 1/2)))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 1/2)))) 2) 2))
(.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 1/8))) (.f64 (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 1/8))) 2) (/.f64 1 (+.f64 3/2 (sqrt.f64 1/2)))))
(.f64 (+.f64 3/2 (sqrt.f64 1/2)) (.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 1 (+.f64 3/2 (sqrt.f64 1/2)))))
(.f64 (sqrt.f64 (sqrt.f64 1/8)) (.f64 (sqrt.f64 (sqrt.f64 1/2)) (*.f64 2 (-.f64 1 (sqrt.f64 1/2)))))
(.f64 (cbrt.f64 (sqrt.f64 1/2)) (.f64 (.f64 (cbrt.f64 1/2) (sqrt.f64 1/2)) (.f64 2 (-.f64 1 (sqrt.f64 1/2)))))
(.f64 (sqrt.f64 1/2) (.f64 (sqrt.f64 1/2) (*.f64 2 (-.f64 1 (sqrt.f64 1/2)))))
(.f64 (sqrt.f64 (sqrt.f64 1/2)) (.f64 (sqrt.f64 (sqrt.f64 1/8)) (*.f64 2 (-.f64 1 (sqrt.f64 1/2)))))
(.f64 (+.f64 1 (sqrt.f64 1/2)) (.f64 (-.f64 1 (sqrt.f64 1/2)) (*.f64 2 (-.f64 1 (sqrt.f64 1/2)))))
(.f64 (+.f64 1 (sqrt.f64 (sqrt.f64 1/2))) (.f64 (-.f64 1 (sqrt.f64 (sqrt.f64 1/2))) 1))
(.f64 (-.f64 1 (sqrt.f64 1/8)) (.f64 (/.f64 1 (+.f64 3/2 (sqrt.f64 1/2))) 1))
(*.f64 2 (-.f64 1/2 (sqrt.f64 1/8)))
(.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 1/2)))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 1/2)))) 2) (cbrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2))))
(*.f64 (/.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2))) (sqrt.f64 1/2))
(*.f64 (neg.f64 (+.f64 1 (sqrt.f64 (sqrt.f64 1/2)))) (+.f64 (sqrt.f64 (sqrt.f64 1/2)) -1))
(*.f64 (cbrt.f64 (+.f64 (sqrt.f64 1/2) -1)) (neg.f64 (cbrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2))))
(*.f64 (+.f64 -1 (sqrt.f64 1/8)) (/.f64 1 (neg.f64 (+.f64 3/2 (sqrt.f64 1/2)))))
(*.f64 (-.f64 1 (sqrt.f64 1/8)) (/.f64 1 (+.f64 3/2 (sqrt.f64 1/2))))
(*.f64 (sqrt.f64 1/2) (/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 1/2)) (sqrt.f64 1/2))))
(*.f64 (/.f64 2 (+.f64 1 (sqrt.f64 1/2))) 1/4)
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 3/2 (sqrt.f64 1/2)))) (/.f64 (-.f64 1 (sqrt.f64 1/8)) (sqrt.f64 (+.f64 3/2 (sqrt.f64 1/2)))))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 3/2 (sqrt.f64 1/2)))) (/.f64 (-.f64 1 (sqrt.f64 1/8)) (pow.f64 (cbrt.f64 (+.f64 3/2 (sqrt.f64 1/2))) 2)))
(*.f64 (/.f64 (+.f64 3/2 (sqrt.f64 1/2)) 1) (/.f64 (-.f64 1 (sqrt.f64 1/2)) (+.f64 3/2 (sqrt.f64 1/2))))
(*.f64 (/.f64 (+.f64 3/2 (sqrt.f64 1/2)) (sqrt.f64 (+.f64 3/2 (sqrt.f64 1/2)))) (/.f64 (-.f64 1 (sqrt.f64 1/2)) (sqrt.f64 (+.f64 3/2 (sqrt.f64 1/2)))))
(*.f64 (/.f64 (+.f64 3/2 (sqrt.f64 1/2)) (cbrt.f64 (+.f64 3/2 (sqrt.f64 1/2)))) (/.f64 (-.f64 1 (sqrt.f64 1/2)) (pow.f64 (cbrt.f64 (+.f64 3/2 (sqrt.f64 1/2))) 2)))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 1/8))) 1) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 1/8))) 2) (+.f64 3/2 (sqrt.f64 1/2))))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 1/8))) (sqrt.f64 (+.f64 3/2 (sqrt.f64 1/2)))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 1/8))) 2) (sqrt.f64 (+.f64 3/2 (sqrt.f64 1/2)))))
(*.f64 (/.f64 (cbrt.f64 1/4) (sqrt.f64 (+.f64 1 (sqrt.f64 1/2)))) (/.f64 (cbrt.f64 1/2) (sqrt.f64 (+.f64 1 (sqrt.f64 1/2)))))
(*.f64 (/.f64 (cbrt.f64 1/4) (cbrt.f64 (+.f64 1 (sqrt.f64 1/2)))) (/.f64 (cbrt.f64 1/2) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 1/2))) 2)))
(*.f64 (/.f64 (cbrt.f64 1/4) 1) (/.f64 (cbrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2))))
(*.f64 (/.f64 (sqrt.f64 (sqrt.f64 1/2)) (sqrt.f64 (+.f64 1 (sqrt.f64 1/2)))) (/.f64 (sqrt.f64 (sqrt.f64 1/8)) (sqrt.f64 (+.f64 1 (sqrt.f64 1/2)))))
(*.f64 (/.f64 (sqrt.f64 (sqrt.f64 1/2)) (cbrt.f64 (+.f64 1 (sqrt.f64 1/2)))) (/.f64 (sqrt.f64 (sqrt.f64 1/8)) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 1/2))) 2)))
(*.f64 (/.f64 (sqrt.f64 (sqrt.f64 1/2)) 1) (/.f64 (sqrt.f64 (sqrt.f64 1/8)) (+.f64 1 (sqrt.f64 1/2))))
(*.f64 (/.f64 (+.f64 1 (sqrt.f64 1/2)) (sqrt.f64 (+.f64 1 (sqrt.f64 1/2)))) (/.f64 (-.f64 1 (sqrt.f64 1/2)) (sqrt.f64 (+.f64 1 (sqrt.f64 1/2)))))
(*.f64 (/.f64 (+.f64 1 (sqrt.f64 1/2)) (cbrt.f64 (+.f64 1 (sqrt.f64 1/2)))) (/.f64 (-.f64 1 (sqrt.f64 1/2)) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 1/2))) 2)))
(*.f64 (/.f64 (+.f64 1 (sqrt.f64 1/2)) 1) (/.f64 (-.f64 1 (sqrt.f64 1/2)) (+.f64 1 (sqrt.f64 1/2))))
(*.f64 (/.f64 (cbrt.f64 1/2) (sqrt.f64 (+.f64 1 (sqrt.f64 1/2)))) (/.f64 (cbrt.f64 1/4) (sqrt.f64 (+.f64 1 (sqrt.f64 1/2)))))
(*.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 1/2))) (/.f64 (cbrt.f64 1/4) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 1/2))) 2)))
(*.f64 (/.f64 (cbrt.f64 1/2) 1) (/.f64 (cbrt.f64 1/4) (+.f64 1 (sqrt.f64 1/2))))
(*.f64 (/.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (sqrt.f64 1/2)))) (/.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (sqrt.f64 1/2)))))
(*.f64 (/.f64 (sqrt.f64 1/2) (cbrt.f64 (+.f64 1 (sqrt.f64 1/2)))) (/.f64 (sqrt.f64 1/2) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 1/2))) 2)))
(*.f64 (sqrt.f64 1/2) (/.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2))))
(.f64 (/.f64 (cbrt.f64 (sqrt.f64 1/2)) (sqrt.f64 (+.f64 1 (sqrt.f64 1/2)))) (/.f64 (.f64 (cbrt.f64 1/2) (sqrt.f64 1/2)) (sqrt.f64 (+.f64 1 (sqrt.f64 1/2)))))
(.f64 (/.f64 (cbrt.f64 (sqrt.f64 1/2)) (cbrt.f64 (+.f64 1 (sqrt.f64 1/2)))) (/.f64 (.f64 (cbrt.f64 1/2) (sqrt.f64 1/2)) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 1/2))) 2)))
(.f64 (/.f64 (cbrt.f64 (sqrt.f64 1/2)) 1) (/.f64 (.f64 (cbrt.f64 1/2) (sqrt.f64 1/2)) (+.f64 1 (sqrt.f64 1/2))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (sqrt.f64 1/2)))) (/.f64 1/2 (sqrt.f64 (+.f64 1 (sqrt.f64 1/2)))))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (sqrt.f64 1/2)))) (/.f64 1/2 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 1/2))) 2)))
(*.f64 (/.f64 1/2 (sqrt.f64 (+.f64 1 (sqrt.f64 1/2)))) (/.f64 1 (sqrt.f64 (+.f64 1 (sqrt.f64 1/2)))))
(*.f64 (/.f64 1/2 (cbrt.f64 (+.f64 1 (sqrt.f64 1/2)))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 1/2))) 2)))
(*.f64 (/.f64 (sqrt.f64 (sqrt.f64 1/8)) (sqrt.f64 (+.f64 1 (sqrt.f64 1/2)))) (/.f64 (sqrt.f64 (sqrt.f64 1/2)) (sqrt.f64 (+.f64 1 (sqrt.f64 1/2)))))
(*.f64 (/.f64 (sqrt.f64 (sqrt.f64 1/8)) (cbrt.f64 (+.f64 1 (sqrt.f64 1/2)))) (/.f64 (sqrt.f64 (sqrt.f64 1/2)) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 1/2))) 2)))
(*.f64 (/.f64 (sqrt.f64 (sqrt.f64 1/8)) 1) (/.f64 (sqrt.f64 (sqrt.f64 1/2)) (+.f64 1 (sqrt.f64 1/2))))
(*.f64 (+.f64 1 (+.f64 (cbrt.f64 1/2) (cbrt.f64 (sqrt.f64 1/2)))) (-.f64 1 (cbrt.f64 (sqrt.f64 1/2))))
(*.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 1/2))) (cbrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2)) (cbrt.f64 (-.f64 1 (sqrt.f64 1/2))))
(.f64 1/2 (.f64 2 (-.f64 1 (sqrt.f64 1/2))))
(.f64 (.f64 2 (-.f64 1 (sqrt.f64 1/2))) 1/2)
(*.f64 (/.f64 1 (+.f64 3/2 (sqrt.f64 1/2))) (-.f64 1 (sqrt.f64 1/8)))
(.f64 (.f64 (-.f64 1 (sqrt.f64 1/2)) 2) 1/2)
(.f64 (.f64 (cbrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2)) (cbrt.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 1/2))))) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 1/2)))) 2))
(.f64 (.f64 -1 (cbrt.f64 (+.f64 (sqrt.f64 1/2) -1))) (cbrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2)))
(.f64 (cbrt.f64 1/2) (.f64 (cbrt.f64 1/4) (*.f64 2 (-.f64 1 (sqrt.f64 1/2)))))
(.f64 (cbrt.f64 1/4) (.f64 (cbrt.f64 1/2) (*.f64 2 (-.f64 1 (sqrt.f64 1/2)))))
(.f64 1/2 (.f64 (*.f64 2 (-.f64 1 (sqrt.f64 1/2))) 1))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 1/2)))) 2) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 1/2)))) 2) 2) (cbrt.f64 (-.f64 1 (sqrt.f64 1/2)))))
(*.f64 (neg.f64 (cbrt.f64 (+.f64 (sqrt.f64 1/2) -1))) (cbrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2)))
(*.f64 -1/2 (/.f64 1 (neg.f64 (+.f64 1 (sqrt.f64 1/2)))))
(/.f64 (-.f64 (.f64 (+.f64 1 (sqrt.f64 1/2)) 2) (+.f64 1 (sqrt.f64 1/2))) (.f64 (+.f64 1 (sqrt.f64 1/2)) (*.f64 (+.f64 1 (sqrt.f64 1/2)) 2)))
(/.f64 (-.f64 (+.f64 3/2 (sqrt.f64 1/2)) (.f64 (+.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/8)))) (.f64 (+.f64 1 (sqrt.f64 1/2)) (+.f64 3/2 (sqrt.f64 1/2))))
(/.f64 (-.f64 (neg.f64 (+.f64 3/2 (sqrt.f64 1/2))) (.f64 (+.f64 1 (sqrt.f64 1/2)) (+.f64 -1 (sqrt.f64 1/8)))) (.f64 (+.f64 1 (sqrt.f64 1/2)) (neg.f64 (+.f64 3/2 (sqrt.f64 1/2)))))
(/.f64 (-.f64 (neg.f64 (+.f64 1 (sqrt.f64 1/2))) (.f64 (+.f64 1 (sqrt.f64 1/2)) -1/2)) (.f64 (+.f64 1 (sqrt.f64 1/2)) (neg.f64 (+.f64 1 (sqrt.f64 1/2)))))
(/.f64 (-.f64 (+.f64 1 (sqrt.f64 1/2)) (.f64 (+.f64 1 (sqrt.f64 1/2)) 1/2)) (.f64 (+.f64 1 (sqrt.f64 1/2)) (+.f64 1 (sqrt.f64 1/2))))
(/.f64 (.f64 (-.f64 1 (.f64 (sqrt.f64 1/8) 1/8)) 1) (*.f64 (+.f64 1 (+.f64 1/8 (sqrt.f64 1/8))) (+.f64 3/2 (sqrt.f64 1/2))))
(/.f64 (.f64 3/4 1) (.f64 3/2 (+.f64 1 (sqrt.f64 1/2))))
(/.f64 (.f64 7/8 1) (.f64 7/4 (+.f64 1 (sqrt.f64 1/2))))
(/.f64 -1 (*.f64 -2 (+.f64 1 (sqrt.f64 1/2))))
(/.f64 (-.f64 1 (sqrt.f64 1/8)) (neg.f64 (neg.f64 (+.f64 3/2 (sqrt.f64 1/2)))))
(/.f64 (+.f64 -1 (sqrt.f64 1/8)) (neg.f64 (+.f64 3/2 (sqrt.f64 1/2))))
(/.f64 -1 (neg.f64 (*.f64 (+.f64 1 (sqrt.f64 1/2)) 2)))
(/.f64 (sqrt.f64 1/2) (/.f64 (+.f64 1 (sqrt.f64 1/2)) (sqrt.f64 1/2)))
(/.f64 (-.f64 1 (sqrt.f64 1/8)) (+.f64 3/2 (sqrt.f64 1/2)))
(/.f64 1 (*.f64 (+.f64 1 (sqrt.f64 1/2)) 2))
(/.f64 -1/2 (neg.f64 (+.f64 1 (sqrt.f64 1/2))))
(/.f64 (.f64 (-.f64 1 (.f64 (sqrt.f64 1/8) 1/8)) (/.f64 1 (+.f64 3/2 (sqrt.f64 1/2)))) (+.f64 1 (+.f64 1/8 (sqrt.f64 1/8))))
(/.f64 (.f64 -1 (.f64 2 (-.f64 1 (sqrt.f64 1/2)))) -2)
(/.f64 (*.f64 2 (-.f64 1 (sqrt.f64 1/2))) 2)
(/.f64 (.f64 3/4 (.f64 2 (-.f64 1 (sqrt.f64 1/2)))) 3/2)
(/.f64 (/.f64 (-.f64 1 (sqrt.f64 1/8)) (cbrt.f64 (+.f64 3/2 (sqrt.f64 1/2)))) (pow.f64 (cbrt.f64 (+.f64 3/2 (sqrt.f64 1/2))) 2))
(/.f64 (/.f64 (-.f64 1 (sqrt.f64 1/8)) 1) (+.f64 3/2 (sqrt.f64 1/2)))
(/.f64 (/.f64 (-.f64 1 (sqrt.f64 1/8)) (sqrt.f64 (+.f64 3/2 (sqrt.f64 1/2)))) (sqrt.f64 (+.f64 3/2 (sqrt.f64 1/2))))
(/.f64 (/.f64 1/2 (sqrt.f64 (+.f64 1 (sqrt.f64 1/2)))) (sqrt.f64 (+.f64 1 (sqrt.f64 1/2))))
(/.f64 (/.f64 1/2 (cbrt.f64 (+.f64 1 (sqrt.f64 1/2)))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 1/2))) 2))
(/.f64 2 (/.f64 (*.f64 (+.f64 1 (sqrt.f64 1/2)) 2) 1/2))
(/.f64 -1 (/.f64 (neg.f64 (+.f64 1 (sqrt.f64 1/2))) 1/2))
(/.f64 1 (*.f64 (/.f64 (+.f64 1 (sqrt.f64 1/2)) (sqrt.f64 1/2)) (sqrt.f64 2)))
(/.f64 (-.f64 1 (.f64 (sqrt.f64 1/8) 1/8)) (.f64 (+.f64 3/2 (sqrt.f64 1/2)) (+.f64 1 (+.f64 1/8 (sqrt.f64 1/8)))))
(/.f64 -1 (*.f64 (+.f64 1 (sqrt.f64 1/2)) -2))
(/.f64 3/4 (*.f64 (+.f64 1 (sqrt.f64 1/2)) 3/2))
(/.f64 7/8 (*.f64 (+.f64 1 (sqrt.f64 1/2)) 7/4))
(/.f64 (-.f64 (+.f64 3/2 (sqrt.f64 1/2)) (.f64 (+.f64 3/2 (sqrt.f64 1/2)) (sqrt.f64 1/8))) (.f64 (+.f64 3/2 (sqrt.f64 1/2)) (+.f64 3/2 (sqrt.f64 1/2))))
(/.f64 (neg.f64 (sqrt.f64 1/2)) (neg.f64 (/.f64 (+.f64 1 (sqrt.f64 1/2)) (sqrt.f64 1/2))))
(/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2)) (cbrt.f64 (-.f64 1 (sqrt.f64 1/8)))) (cbrt.f64 (+.f64 3/2 (sqrt.f64 1/2))))
(/.f64 (.f64 7/8 (.f64 2 (-.f64 1 (sqrt.f64 1/2)))) 7/4)
(/.f64 (*.f64 (+.f64 -1 (sqrt.f64 1/8)) 1) (neg.f64 (+.f64 3/2 (sqrt.f64 1/2))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 1/8))) (cbrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2))) (cbrt.f64 (+.f64 3/2 (sqrt.f64 1/2))))
(/.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 1/2)) 1))
(/.f64 1/2 (*.f64 (/.f64 (+.f64 1 (sqrt.f64 1/2)) (sqrt.f64 1/2)) (sqrt.f64 1/2)))
(/.f64 1/2 (neg.f64 (neg.f64 (+.f64 1 (sqrt.f64 1/2)))))
(pow.f64 (*.f64 (+.f64 1 (sqrt.f64 1/2)) 2) -1)
(pow.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3) 1/3)
(pow.f64 (-.f64 1 (sqrt.f64 1/2)) 1)
(pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 1/2))) 3)
(neg.f64 (+.f64 (sqrt.f64 1/2) -1))
(neg.f64 (-.f64 (+.f64 (sqrt.f64 1/2) -1) 0))
(cbrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3))

Outputs
(fma.f64 1 1 (neg.f64 (sqrt.f64 1/2)))
(-.f64 1 (sqrt.f64 1/2))
(fma.f64 1 (neg.f64 (sqrt.f64 1/2)) 1)
(-.f64 1 (sqrt.f64 1/2))
(fma.f64 (sqrt.f64 (sqrt.f64 1/2)) (neg.f64 (sqrt.f64 (sqrt.f64 1/2))) 1)
(fma.f64 -1 (sqrt.f64 1/2) 1)
(-.f64 1 (sqrt.f64 1/2))
(fma.f64 (neg.f64 (sqrt.f64 (sqrt.f64 1/2))) (sqrt.f64 (sqrt.f64 1/2)) 1)
(fma.f64 (cbrt.f64 (sqrt.f64 1/2)) (neg.f64 (cbrt.f64 1/2)) 1)
(fma.f64 0 1 (-.f64 1 (sqrt.f64 1/2)))
(fma.f64 0 0 (-.f64 1 (sqrt.f64 1/2)))
(fma.f64 0 3 (-.f64 1 (sqrt.f64 1/2)))
(fma.f64 1 0 (-.f64 1 (sqrt.f64 1/2)))
(-.f64 1 (sqrt.f64 1/2))
(fma.f64 (cbrt.f64 (neg.f64 (sqrt.f64 1/2))) (cbrt.f64 1/2) 1)
(fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 1/2) 1)
(fma.f64 2 1/2 (neg.f64 (sqrt.f64 1/2)))
(if (!=.f64 1 0) (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2)))
(if (!=.f64 (sqrt.f64 1/2) 0) (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2)))
(if (!=.f64 1/2 0) (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2)))
(if (!=.f64 (cbrt.f64 1/4) 0) (/.f64 (cbrt.f64 1/2) (/.f64 (+.f64 1 (sqrt.f64 1/2)) (cbrt.f64 1/4))) (-.f64 1 (sqrt.f64 1/2)))
(if (!=.f64 (neg.f64 (sqrt.f64 1/2)) 0) (-.f64 1 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2)))
(if (!=.f64 (sqrt.f64 (sqrt.f64 1/2)) 0) (/.f64 (sqrt.f64 (sqrt.f64 1/2)) (/.f64 (/.f64 (+.f64 1 (sqrt.f64 1/2)) (sqrt.f64 1/2)) (sqrt.f64 (sqrt.f64 1/2)))) (-.f64 1 (sqrt.f64 1/2)))
(if (!=.f64 (cbrt.f64 1/2) 0) (/.f64 (cbrt.f64 (sqrt.f64 1/2)) (/.f64 (/.f64 (+.f64 1 (sqrt.f64 1/2)) (sqrt.f64 1/2)) (cbrt.f64 1/2))) (-.f64 1 (sqrt.f64 1/2)))
(if (!=.f64 (cbrt.f64 (sqrt.f64 1/2)) 0) (/.f64 (cbrt.f64 1/2) (/.f64 (/.f64 (+.f64 1 (sqrt.f64 1/2)) (sqrt.f64 1/2)) (cbrt.f64 (sqrt.f64 1/2)))) (-.f64 1 (sqrt.f64 1/2)))
(if (!=.f64 (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 1/8))) 2) 0) (/.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 1/8))) (/.f64 (+.f64 3/2 (sqrt.f64 1/2)) (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 1/8))) 2))) (-.f64 1 (sqrt.f64 1/2)))
(if (!=.f64 (-.f64 1 (sqrt.f64 1/8)) 0) (/.f64 1 (/.f64 (+.f64 3/2 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/8)))) (-.f64 1 (sqrt.f64 1/2)))
(if (!=.f64 (-.f64 1 (sqrt.f64 1/2)) 0) (/.f64 (+.f64 3/2 (sqrt.f64 1/2)) (/.f64 (+.f64 3/2 (sqrt.f64 1/2)) (-.f64 1 (sqrt.f64 1/2)))) (-.f64 1 (sqrt.f64 1/2)))
(if (!=.f64 (sqrt.f64 (sqrt.f64 1/2)) 0) (/.f64 (sqrt.f64 (sqrt.f64 1/8)) (/.f64 (+.f64 1 (sqrt.f64 1/2)) (sqrt.f64 (sqrt.f64 1/2)))) (-.f64 1 (sqrt.f64 1/2)))
(if (!=.f64 (.f64 (cbrt.f64 1/2) (sqrt.f64 1/2)) 0) (/.f64 (cbrt.f64 (sqrt.f64 1/2)) (/.f64 (+.f64 1 (sqrt.f64 1/2)) (.f64 (cbrt.f64 1/2) (sqrt.f64 1/2)))) (-.f64 1 (sqrt.f64 1/2)))
(if (!=.f64 (*.f64 (cbrt.f64 1/2) (sqrt.f64 1/2)) 0) (/.f64 (cbrt.f64 (sqrt.f64 1/2)) (/.f64 (/.f64 (+.f64 1 (sqrt.f64 1/2)) (sqrt.f64 1/2)) (cbrt.f64 1/2))) (-.f64 1 (sqrt.f64 1/2)))
(if (!=.f64 (cbrt.f64 1/2) 0) (/.f64 (cbrt.f64 1/4) (/.f64 (+.f64 1 (sqrt.f64 1/2)) (cbrt.f64 1/2))) (-.f64 1 (sqrt.f64 1/2)))
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(/.f64 (/.f64 (-.f64 1 (sqrt.f64 1/8)) 1) (+.f64 3/2 (sqrt.f64 1/2)))
(/.f64 (-.f64 1 (sqrt.f64 1/8)) (+.f64 3/2 (sqrt.f64 1/2)))
(/.f64 (/.f64 (-.f64 1 (sqrt.f64 1/8)) (sqrt.f64 (+.f64 3/2 (sqrt.f64 1/2)))) (sqrt.f64 (+.f64 3/2 (sqrt.f64 1/2))))
(/.f64 (-.f64 1 (sqrt.f64 1/8)) (+.f64 3/2 (sqrt.f64 1/2)))
(/.f64 (/.f64 1/2 (sqrt.f64 (+.f64 1 (sqrt.f64 1/2)))) (sqrt.f64 (+.f64 1 (sqrt.f64 1/2))))
(/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))
(/.f64 (/.f64 1/2 (cbrt.f64 (+.f64 1 (sqrt.f64 1/2)))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 1/2))) 2))
(/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))
(/.f64 2 (/.f64 (*.f64 (+.f64 1 (sqrt.f64 1/2)) 2) 1/2))
(/.f64 -1 (/.f64 (neg.f64 (+.f64 1 (sqrt.f64 1/2))) 1/2))
(/.f64 -1 (/.f64 (+.f64 1 (sqrt.f64 1/2)) (neg.f64 1/2)))
(/.f64 1 (*.f64 (/.f64 (+.f64 1 (sqrt.f64 1/2)) (sqrt.f64 1/2)) (sqrt.f64 2)))
(/.f64 (/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 1/2)) (sqrt.f64 1/2))) (sqrt.f64 2))
(/.f64 (-.f64 1 (.f64 (sqrt.f64 1/8) 1/8)) (.f64 (+.f64 3/2 (sqrt.f64 1/2)) (+.f64 1 (+.f64 1/8 (sqrt.f64 1/8)))))
(/.f64 (-.f64 1 (.f64 (sqrt.f64 1/8) 1/8)) (.f64 (+.f64 1 (+.f64 1/8 (sqrt.f64 1/8))) (+.f64 3/2 (sqrt.f64 1/2))))
(/.f64 -1 (*.f64 (+.f64 1 (sqrt.f64 1/2)) -2))
(/.f64 -1 (*.f64 -2 (+.f64 1 (sqrt.f64 1/2))))
(/.f64 3/4 (*.f64 (+.f64 1 (sqrt.f64 1/2)) 3/2))
(/.f64 3/4 (*.f64 3/2 (+.f64 1 (sqrt.f64 1/2))))
(/.f64 7/8 (*.f64 (+.f64 1 (sqrt.f64 1/2)) 7/4))
(/.f64 7/8 (*.f64 7/4 (+.f64 1 (sqrt.f64 1/2))))
(/.f64 (-.f64 (+.f64 3/2 (sqrt.f64 1/2)) (.f64 (+.f64 3/2 (sqrt.f64 1/2)) (sqrt.f64 1/8))) (.f64 (+.f64 3/2 (sqrt.f64 1/2)) (+.f64 3/2 (sqrt.f64 1/2))))
(/.f64 (-.f64 1 (sqrt.f64 1/8)) (+.f64 3/2 (sqrt.f64 1/2)))
(/.f64 (neg.f64 (sqrt.f64 1/2)) (neg.f64 (/.f64 (+.f64 1 (sqrt.f64 1/2)) (sqrt.f64 1/2))))
(/.f64 (sqrt.f64 1/2) (/.f64 (+.f64 1 (sqrt.f64 1/2)) (sqrt.f64 1/2)))
(/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2)) (cbrt.f64 (-.f64 1 (sqrt.f64 1/8)))) (cbrt.f64 (+.f64 3/2 (sqrt.f64 1/2))))
(/.f64 (cbrt.f64 (*.f64 (-.f64 1 (sqrt.f64 1/8)) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2))) (cbrt.f64 (+.f64 3/2 (sqrt.f64 1/2))))
(/.f64 (.f64 7/8 (.f64 2 (-.f64 1 (sqrt.f64 1/2)))) 7/4)
(/.f64 (.f64 (.f64 7/8 2) (-.f64 1 (sqrt.f64 1/2))) 7/4)
(/.f64 (*.f64 (+.f64 -1 (sqrt.f64 1/8)) 1) (neg.f64 (+.f64 3/2 (sqrt.f64 1/2))))
(/.f64 (neg.f64 (+.f64 -1 (sqrt.f64 1/8))) (+.f64 3/2 (sqrt.f64 1/2)))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 1/8))) (cbrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2))) (cbrt.f64 (+.f64 3/2 (sqrt.f64 1/2))))
(/.f64 (cbrt.f64 (*.f64 (-.f64 1 (sqrt.f64 1/8)) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2))) (cbrt.f64 (+.f64 3/2 (sqrt.f64 1/2))))
(/.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 1/2)) 1))
(/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))
(/.f64 1/2 (*.f64 (/.f64 (+.f64 1 (sqrt.f64 1/2)) (sqrt.f64 1/2)) (sqrt.f64 1/2)))
(/.f64 (/.f64 1/2 (/.f64 (+.f64 1 (sqrt.f64 1/2)) (sqrt.f64 1/2))) (sqrt.f64 1/2))
(/.f64 1/2 (neg.f64 (neg.f64 (+.f64 1 (sqrt.f64 1/2)))))
(/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))
(pow.f64 (*.f64 (+.f64 1 (sqrt.f64 1/2)) 2) -1)
(/.f64 1 (*.f64 (+.f64 1 (sqrt.f64 1/2)) 2))
(pow.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3) 1/3)
(-.f64 1 (sqrt.f64 1/2))
(pow.f64 (-.f64 1 (sqrt.f64 1/2)) 1)
(-.f64 1 (sqrt.f64 1/2))
(pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 1/2))) 3)
(-.f64 1 (sqrt.f64 1/2))
(neg.f64 (+.f64 (sqrt.f64 1/2) -1))
(-.f64 1 (sqrt.f64 1/2))
(neg.f64 (-.f64 (+.f64 (sqrt.f64 1/2) -1) 0))
(-.f64 1 (sqrt.f64 1/2))
(cbrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3))
(-.f64 1 (sqrt.f64 1/2))

localize36.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))
✓	0.1b	(pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)
✓	0.5b	(-.f64 1 (if (!=.f64 (+.f64 1/2 (/.f64 1/2 x)) 0) (/.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
✓	0.5b	(/.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2))

Compiler

Compiled 91 to 78 computations (14.3% saved)

series48.0ms (0.1%)

Counts

3 → 8

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2))
1.0ms	x	@	inf	(/.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2))
1.0ms	x	@	-inf	(/.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2))
0.0ms	x	@	0	(pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)
0.0ms	x	@	-inf	(-.f64 1 (if (!=.f64 (+.f64 1/2 (/.f64 1/2 x)) 0) (/.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))

Compiler

Compiled 4850 to 4295 computations (11.4% saved)

rewrite270.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

77×	`egg-rr`
62×	`egg-rr`
32×	`egg-rr`

Counts

3 → 171

Calls

Call 1

Inputs

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

(-.f64 1 (if (!=.f64 (+.f64 1/2 (/.f64 1/2 x)) 0) (/.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))

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

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)) 0) (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2) 2)) (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)))) (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2) 2)) 0) (/.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)) (/.f64 1 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2) 2)))) (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2) 0) (/.f64 1 (/.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2))) (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 1 0) (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2) (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 1/2 (/.f64 1/2 x)) 0) (/.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)))) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2))) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 1/2 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2))) 2) (cbrt.f64 (pow.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2))) 2) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2))) 2) 2) (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (neg.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2))) (neg.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)) (cbrt.f64 (pow.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2) 2)) (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2) 3))))))

simplify506.0ms (1.5%)

Algorithm

1×

egglog

Counts

179 → 242

Calls

Call 1

Inputs
(/.f64 1 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 1/2) (.f64 -1 (log.f64 x))))))
(+.f64 (.f64 1/2 (/.f64 x (exp.f64 (.f64 -1/2 (+.f64 (log.f64 1/2) (.f64 -1 (log.f64 x))))))) (/.f64 1 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 x)))))))
(+.f64 (.f64 1/2 (/.f64 x (exp.f64 (.f64 -1/2 (+.f64 (log.f64 1/2) (.f64 -1 (log.f64 x))))))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 2) (exp.f64 (.f64 -1/2 (+.f64 (log.f64 1/2) (.f64 -1 (log.f64 x))))))) (/.f64 1 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 1/2) (.f64 -1 (log.f64 x))))))))
(+.f64 (.f64 1/2 (/.f64 x (exp.f64 (.f64 -1/2 (+.f64 (log.f64 1/2) (.f64 -1 (log.f64 x))))))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 x 3) (exp.f64 (.f64 -1/2 (+.f64 (log.f64 1/2) (.f64 -1 (log.f64 x))))))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 2) (exp.f64 (.f64 -1/2 (+.f64 (log.f64 1/2) (.f64 -1 (log.f64 x))))))) (/.f64 1 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 x)))))))))
(exp.f64 (.f64 -1/2 (+.f64 (log.f64 1/2) (.f64 -1 (log.f64 x)))))
(+.f64 (.f64 -1/2 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 1/2) (.f64 -1 (log.f64 x))))) x)) (exp.f64 (.f64 -1/2 (+.f64 (log.f64 1/2) (.f64 -1 (log.f64 x))))))
(+.f64 (.f64 -1/2 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 1/2) (.f64 -1 (log.f64 x))))) x)) (+.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 1/2) (.f64 -1 (log.f64 x))))) (.f64 3/8 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 1/2) (.f64 -1 (log.f64 x))))) (pow.f64 x 2)))))
(+.f64 (.f64 -1/2 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 1/2) (.f64 -1 (log.f64 x))))) x)) (+.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 1/2) (.f64 -1 (log.f64 x))))) (+.f64 (.f64 3/8 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 1/2) (.f64 -1 (log.f64 x))))) (pow.f64 x 2))) (.f64 -5/16 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 1/2) (.f64 -1 (log.f64 x))))) (pow.f64 x 3))))))
(if (!=.f64 1 0) (/.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)) (/.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)))
(if (!=.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2) 0) (/.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)) (/.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)))
(if (!=.f64 -1 0) (/.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)) (/.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)))
(if (!=.f64 2 0) (/.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)) (/.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)))
(if (!=.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2))) 0) (/.f64 1 (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2) 2)) (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2))))) (/.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)))
(if (!=.f64 (/.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)) 0) (/.f64 1 (pow.f64 (/.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)) -1)) (/.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)))
(if (!=.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)) 0) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)) (neg.f64 3)) (/.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)))
(if (!=.f64 (pow.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2) 3) 0) (pow.f64 (pow.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2) 3) (neg.f64 1/3)) (/.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)))
(if (!=.f64 1/2 0) (/.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)) (/.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)))
(if (!=.f64 (pow.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)))) 2) 0) (/.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)))) (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2) 2)) (pow.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)))) 2))) (/.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)))
(if (!=.f64 -1/2 0) (/.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)) (/.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)))
(if (!=.f64 (+.f64 1/2 (/.f64 1/2 x)) 0) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (/.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)))
(-.f64 0 (/.f64 -1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)))
(-.f64 (/.f64 0 (neg.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2))) (/.f64 -1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)))
(*.f64 1 (/.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)))
(*.f64 (/.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)) 1)
(.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)))) (.f64 (pow.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)))) 2) (/.f64 1 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2) 2)))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2))) (/.f64 1 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2) 2))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2) 2))) (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2))))
(*.f64 -1 (/.f64 -1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)))
(*.f64 (/.f64 -1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)) -1)
(.f64 (.f64 (/.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)) 2) 1/2)
(.f64 (.f64 (/.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)) -1) -1)
(.f64 (.f64 (/.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)) 1/2) 2)
(.f64 (.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2))) (pow.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)))) 2)) (pow.f64 (pow.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)))) 2) 2))
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(/.f64 (/.f64 (-.f64 1 (pow.f64 (if (!=.f64 (+.f64 1/2 (/.f64 1/2 x)) 0) (/.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 3)) (cbrt.f64 (fma.f64 (if (!=.f64 (+.f64 1/2 (/.f64 1/2 x)) 0) (/.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (+.f64 1 (if (!=.f64 (+.f64 1/2 (/.f64 1/2 x)) 0) (/.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 1))) (pow.f64 (cbrt.f64 (fma.f64 (if (!=.f64 (+.f64 1/2 (/.f64 1/2 x)) 0) (/.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (+.f64 1 (if (!=.f64 (+.f64 1/2 (/.f64 1/2 x)) 0) (/.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 1)) 2))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (if (!=.f64 (+.f64 1/2 (/.f64 1/2 x)) 0) (/.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 3) 3)) (*.f64 (fma.f64 (if (!=.f64 (+.f64 1/2 (/.f64 1/2 x)) 0) (/.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (+.f64 1 (if (!=.f64 (+.f64 1/2 (/.f64 1/2 x)) 0) (/.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 1) (+.f64 (+.f64 1 (pow.f64 (pow.f64 (if (!=.f64 (+.f64 1/2 (/.f64 1/2 x)) 0) (/.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 3) 2)) (pow.f64 (if (!=.f64 (+.f64 1/2 (/.f64 1/2 x)) 0) (/.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 3))))
(/.f64 (-.f64 (fma.f64 (if (!=.f64 (+.f64 1/2 (/.f64 1/2 x)) 0) (/.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (+.f64 1 (if (!=.f64 (+.f64 1/2 (/.f64 1/2 x)) 0) (/.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 1) (.f64 (fma.f64 (if (!=.f64 (+.f64 1/2 (/.f64 1/2 x)) 0) (/.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (+.f64 1 (if (!=.f64 (+.f64 1/2 (/.f64 1/2 x)) 0) (/.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 1) (pow.f64 (if (!=.f64 (+.f64 1/2 (/.f64 1/2 x)) 0) (/.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 3))) (.f64 (fma.f64 (if (!=.f64 (+.f64 1/2 (/.f64 1/2 x)) 0) (/.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (+.f64 1 (if (!=.f64 (+.f64 1/2 (/.f64 1/2 x)) 0) (/.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 1) (fma.f64 (if (!=.f64 (+.f64 1/2 (/.f64 1/2 x)) 0) (/.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (+.f64 1 (if (!=.f64 (+.f64 1/2 (/.f64 1/2 x)) 0) (/.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 1)))
(/.f64 (.f64 (+.f64 -1 (pow.f64 (if (!=.f64 (+.f64 1/2 (/.f64 1/2 x)) 0) (/.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 3)) 1) (.f64 (neg.f64 (fma.f64 (if (!=.f64 (+.f64 1/2 (/.f64 1/2 x)) 0) (/.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (+.f64 1 (if (!=.f64 (+.f64 1/2 (/.f64 1/2 x)) 0) (/.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 1)) 1))
(/.f64 (+.f64 -1 (pow.f64 (if (!=.f64 (+.f64 1/2 (/.f64 1/2 x)) 0) (/.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 3)) (neg.f64 (fma.f64 (if (!=.f64 (+.f64 1/2 (/.f64 1/2 x)) 0) (/.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (+.f64 1 (if (!=.f64 (+.f64 1/2 (/.f64 1/2 x)) 0) (/.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 1)))
(/.f64 (-.f64 1 (pow.f64 (if (!=.f64 (+.f64 1/2 (/.f64 1/2 x)) 0) (/.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 3)) (fma.f64 (if (!=.f64 (+.f64 1/2 (/.f64 1/2 x)) 0) (/.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (+.f64 1 (if (!=.f64 (+.f64 1/2 (/.f64 1/2 x)) 0) (/.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 1))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (if (!=.f64 (+.f64 1/2 (/.f64 1/2 x)) 0) (/.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 2)) (cbrt.f64 (-.f64 1 (pow.f64 (if (!=.f64 (+.f64 1/2 (/.f64 1/2 x)) 0) (/.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 3)))) (cbrt.f64 (fma.f64 (if (!=.f64 (+.f64 1/2 (/.f64 1/2 x)) 0) (/.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (+.f64 1 (if (!=.f64 (+.f64 1/2 (/.f64 1/2 x)) 0) (/.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 1)))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (if (!=.f64 (+.f64 1/2 (/.f64 1/2 x)) 0) (/.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 3))) (cbrt.f64 (pow.f64 (-.f64 1 (if (!=.f64 (+.f64 1/2 (/.f64 1/2 x)) 0) (/.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 2))) (cbrt.f64 (fma.f64 (if (!=.f64 (+.f64 1/2 (/.f64 1/2 x)) 0) (/.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (+.f64 1 (if (!=.f64 (+.f64 1/2 (/.f64 1/2 x)) 0) (/.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 1)))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (if (!=.f64 (+.f64 1/2 (/.f64 1/2 x)) 0) (/.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 3)) 1) (neg.f64 (fma.f64 (if (!=.f64 (+.f64 1/2 (/.f64 1/2 x)) 0) (/.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (+.f64 1 (if (!=.f64 (+.f64 1/2 (/.f64 1/2 x)) 0) (/.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 1)))
(pow.f64 (-.f64 1 (if (!=.f64 (+.f64 1/2 (/.f64 1/2 x)) 0) (/.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 1)
(pow.f64 (pow.f64 (-.f64 1 (if (!=.f64 (+.f64 1/2 (/.f64 1/2 x)) 0) (/.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 3) 1/3)
(pow.f64 (cbrt.f64 (-.f64 1 (if (!=.f64 (+.f64 1/2 (/.f64 1/2 x)) 0) (/.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))) 3)
(neg.f64 (+.f64 (if (!=.f64 (+.f64 1/2 (/.f64 1/2 x)) 0) (/.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) -1))
(neg.f64 (-.f64 (+.f64 (if (!=.f64 (+.f64 1/2 (/.f64 1/2 x)) 0) (/.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) -1) 0))
(cbrt.f64 (pow.f64 (-.f64 1 (if (!=.f64 (+.f64 1/2 (/.f64 1/2 x)) 0) (/.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 3))
(if (!=.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)) 0) (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2) 2)) (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)))) (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2))
(if (!=.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2) 2)) 0) (/.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)) (/.f64 1 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2) 2)))) (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2))
(if (!=.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2) 0) (/.f64 1 (/.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2))) (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2))
(if (!=.f64 1 0) (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2) (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2))
(if (!=.f64 (+.f64 1/2 (/.f64 1/2 x)) 0) (/.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2))
(-.f64 0 (neg.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)))
(*.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2))
(*.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2) 1)
(.f64 (.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2) 2) 1/2)
(*.f64 (neg.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)) -1)
(.f64 (.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2) 1/2) 2)
(.f64 (.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)))) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2))) 2))
(.f64 (.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2))) 2) 2))
(.f64 2 (.f64 1/2 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)))
(*.f64 -1 (neg.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)))
(.f64 1/2 (.f64 2 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2))) 2) (cbrt.f64 (pow.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2) 2))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2))) 2) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2))) 2) 2) (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2))))
(*.f64 (cbrt.f64 (neg.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2))) (neg.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2) 2))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)) (cbrt.f64 (pow.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2) 2)))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2) 2)) (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)))
(/.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2) 1)
(/.f64 (/.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2) 2) 1/2)
(/.f64 (/.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2) -1) -1)
(/.f64 (/.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2) 1/2) 2)
(/.f64 (neg.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)) -1)
(pow.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2) 1)
(pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)
(pow.f64 (pow.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2) 3) 1/3)
(pow.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)) 3)
(neg.f64 (neg.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)))
(cbrt.f64 (pow.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2) 3))

Outputs
(/.f64 1 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 1/2) (.f64 -1 (log.f64 x))))))
(exp.f64 (neg.f64 (*.f64 -1/2 (+.f64 (log.f64 1/2) (neg.f64 (log.f64 x))))))
(+.f64 (.f64 1/2 (/.f64 x (exp.f64 (.f64 -1/2 (+.f64 (log.f64 1/2) (.f64 -1 (log.f64 x))))))) (/.f64 1 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 x)))))))
(fma.f64 1/2 (/.f64 x (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 1/2) (neg.f64 (log.f64 x))))) (exp.f64 (neg.f64 (*.f64 -1/2 (+.f64 (log.f64 1/2) (neg.f64 (log.f64 x)))))))
(+.f64 (.f64 1/2 (/.f64 x (exp.f64 (.f64 -1/2 (+.f64 (log.f64 1/2) (.f64 -1 (log.f64 x))))))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 2) (exp.f64 (.f64 -1/2 (+.f64 (log.f64 1/2) (.f64 -1 (log.f64 x))))))) (/.f64 1 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 1/2) (.f64 -1 (log.f64 x))))))))
(fma.f64 1/2 (/.f64 x (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 1/2) (neg.f64 (log.f64 x))))) (fma.f64 -1/8 (/.f64 (.f64 x x) (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 1/2) (neg.f64 (log.f64 x))))) (exp.f64 (neg.f64 (.f64 -1/2 (+.f64 (log.f64 1/2) (neg.f64 (log.f64 x))))))))
(+.f64 (.f64 1/2 (/.f64 x (exp.f64 (.f64 -1/2 (+.f64 (log.f64 1/2) (.f64 -1 (log.f64 x))))))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 x 3) (exp.f64 (.f64 -1/2 (+.f64 (log.f64 1/2) (.f64 -1 (log.f64 x))))))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 2) (exp.f64 (.f64 -1/2 (+.f64 (log.f64 1/2) (.f64 -1 (log.f64 x))))))) (/.f64 1 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 x)))))))))
(fma.f64 1/2 (/.f64 x (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 1/2) (neg.f64 (log.f64 x))))) (fma.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 1/2) (neg.f64 (log.f64 x))))) (fma.f64 -1/8 (/.f64 (.f64 x x) (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 1/2) (neg.f64 (log.f64 x))))) (exp.f64 (neg.f64 (.f64 -1/2 (+.f64 (log.f64 1/2) (neg.f64 (log.f64 x)))))))))
(exp.f64 (.f64 -1/2 (+.f64 (log.f64 1/2) (.f64 -1 (log.f64 x)))))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 1/2) (neg.f64 (log.f64 x))))
(+.f64 (.f64 -1/2 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 1/2) (.f64 -1 (log.f64 x))))) x)) (exp.f64 (.f64 -1/2 (+.f64 (log.f64 1/2) (.f64 -1 (log.f64 x))))))
(fma.f64 -1/2 (*.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 1/2) (neg.f64 (log.f64 x)))) x) (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 1/2) (neg.f64 (log.f64 x)))))
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(-.f64 1 (if (!=.f64 (+.f64 1/2 (/.f64 1/2 x)) 0) (pow.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2) -1) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(neg.f64 (-.f64 (+.f64 (if (!=.f64 (+.f64 1/2 (/.f64 1/2 x)) 0) (/.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) -1) 0))
(-.f64 1 (if (!=.f64 (+.f64 1/2 (/.f64 1/2 x)) 0) (pow.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2) -1) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(cbrt.f64 (pow.f64 (-.f64 1 (if (!=.f64 (+.f64 1/2 (/.f64 1/2 x)) 0) (/.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 3))
(-.f64 1 (if (!=.f64 (+.f64 1/2 (/.f64 1/2 x)) 0) (pow.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2) -1) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(if (!=.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)) 0) (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2) 2)) (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)))) (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2))
(if (!=.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)) 0) (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2) 2)) (cbrt.f64 (pow.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2) -1))) (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2))
(if (!=.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2) 2)) 0) (/.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)) (/.f64 1 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2) 2)))) (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2))
(if (!=.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2) 0) (/.f64 1 (/.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2))) (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2))
(if (!=.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2) 0) (/.f64 1 (pow.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2) -1)) (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2))
(if (!=.f64 1 0) (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2) (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2))
(if (!=.f64 (+.f64 1/2 (/.f64 1/2 x)) 0) (/.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2))
(-.f64 0 (neg.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)))
(pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)
(*.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2))
(pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)
(*.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2) 1)
(pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)
(.f64 (.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2) 2) 1/2)
(pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)
(*.f64 (neg.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)) -1)
(pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)
(.f64 (.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2) 1/2) 2)
(pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)
(.f64 (.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)))) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2))) 2))
(pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)
(.f64 (.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2))) 2) 2))
(.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2))) 2) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2))) 2) 2)))
(.f64 2 (.f64 1/2 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)))
(pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)
(*.f64 -1 (neg.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)))
(pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)
(.f64 1/2 (.f64 2 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)))
(pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2))) 2) (cbrt.f64 (pow.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2) 2))))
(pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2))) 2) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2))) 2) 2) (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2))) 2) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2))) 2) 2)) (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)))
(*.f64 (cbrt.f64 (neg.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2))) (neg.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2) 2))))
(neg.f64 (*.f64 (cbrt.f64 (neg.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2))) (cbrt.f64 (pow.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2) 2))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)) (cbrt.f64 (pow.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2) 2)))
(pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2) 2)) (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)))
(pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)
(/.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2) 1)
(pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)
(/.f64 (/.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2) 2) 1/2)
(pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)
(/.f64 (/.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2) -1) -1)
(pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)
(/.f64 (/.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2) 1/2) 2)
(pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)
(/.f64 (neg.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)) -1)
(pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)
(pow.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2) 1)
(pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)
(pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)
(pow.f64 (pow.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2) 3) 1/3)
(pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)
(pow.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)) 3)
(pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)
(neg.f64 (neg.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)))
(pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)
(cbrt.f64 (pow.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2) 3))
(pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)

localize48.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(/.f64 1/2 (hypot.f64 -1 x))
✓	0.0b	(.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (.f64 (.f64 x x) (+.f64 (.f64 -3/16 (*.f64 x x)) 1/4)))
✓	0.1b	(.f64 (.f64 x x) (+.f64 (.f64 -3/16 (.f64 x x)) 1/4))
✓	0.1b	(.f64 -3/16 (.f64 x x))

Compiler

Compiled 102 to 74 computations (27.5% saved)

series66.0ms (0.2%)

Counts

3 → 34

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(.f64 -3/16 (.f64 x x))
2.0ms	x	@	inf	(.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (.f64 (.f64 x x) (+.f64 (.f64 -3/16 (*.f64 x x)) 1/4)))
1.0ms	x	@	-inf	(.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (.f64 (.f64 x x) (+.f64 (.f64 -3/16 (*.f64 x x)) 1/4)))
1.0ms	x	@	inf	(.f64 -3/16 (.f64 x x))
1.0ms	x	@	inf	(.f64 (.f64 x x) (+.f64 (.f64 -3/16 (.f64 x x)) 1/4))

Compiler

Compiled 4870 to 4555 computations (6.5% saved)

rewrite279.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

181×	`egg-rr`
112×	`egg-rr`
31×	`egg-rr`

Counts

3 → 324

Calls

Call 1

Inputs

(*.f64 -3/16 (*.f64 x x))

(*.f64 (*.f64 x x) (+.f64 (*.f64 -3/16 (*.f64 x x)) 1/4))

(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (*.f64 (*.f64 x x) (+.f64 (*.f64 -3/16 (*.f64 x x)) 1/4)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 (*.f64 -3/16 x) x) 0) (/.f64 1 (pow.f64 (*.f64 (*.f64 -3/16 x) x) -1)) (*.f64 (*.f64 -3/16 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -3/16 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 -3/16 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 -3/16) (*.f64 (cbrt.f64 9/256) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 9/256) (*.f64 x x)) (cbrt.f64 -3/16))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 -3/16)) (*.f64 (cbrt.f64 (cbrt.f64 9/256)) (*.f64 (cbrt.f64 9/256) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (*.f64 -3/16 x) x)) (cbrt.f64 (pow.f64 (*.f64 (*.f64 -3/16 x) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 -3/16 x) x) 2)) (cbrt.f64 (*.f64 (*.f64 -3/16 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x x) (cbrt.f64 -3/16)) (cbrt.f64 9/256))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 -3/16 x) (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 (pow.f64 (*.f64 x x) 2)) -3/16))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -3/16 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) -3/16)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -3/16 (cbrt.f64 (*.f64 x x))) (cbrt.f64 (pow.f64 (*.f64 x x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (*.f64 -3/16 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 -3/16 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 3/16 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 x x) 2)) (*.f64 -3/16 (cbrt.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 9/256) (*.f64 (*.f64 x x) (cbrt.f64 -3/16)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 3/16 (*.f64 x x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 x x) 2)) -3/16) (cbrt.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (*.f64 -3/16 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (*.f64 2 (*.f64 3/16 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 -1/2 (*.f64 3/16 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 -3/16 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 3/16 (*.f64 x x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 -3/16 x) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 -3/16 x) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 -3/16 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 3/16 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 -3/16 x) x) 3))))))

((#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) (*.f64 (*.f64 -3/16 x) x) (*.f64 (*.f64 x x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 -3/16 x) x) (*.f64 x x) (*.f64 (*.f64 x x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/4)) (cbrt.f64 (pow.f64 (*.f64 (*.f64 x x) 1/4) 2)) (*.f64 (pow.f64 (*.f64 x x) 2) -3/16))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x x) (cbrt.f64 1/4)) (cbrt.f64 1/16) (*.f64 (pow.f64 (*.f64 x x) 2) -3/16))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 1/4 x) (*.f64 (pow.f64 (*.f64 x x) 2) -3/16))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 x) (*.f64 1/2 x) (*.f64 (pow.f64 (*.f64 x x) 2) -3/16))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/4 x) x (*.f64 (pow.f64 (*.f64 x x) 2) -3/16))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x x) 1/2) 1/2 (*.f64 (pow.f64 (*.f64 x x) 2) -3/16))))) 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(sqrt.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))))) (neg.f64 (sqrt.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 x (*.f64 x (fma.f64 -3/16 (*.f64 x x) 1/4))) (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 x (*.f64 x (fma.f64 -3/16 (*.f64 x x) 1/4))) (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 x (*.f64 x (fma.f64 -3/16 (*.f64 x x) 1/4))) (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (/.f64 (*.f64 x (*.f64 x (fma.f64 -3/16 (*.f64 x x) 1/4))) (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (neg.f64 (exp.f64 (neg.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))))) (*.f64 x (*.f64 x (fma.f64 -3/16 (*.f64 x x) 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x (fma.f64 -3/16 (*.f64 x x) 1/4))) (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 -3/16 (*.f64 x x) 1/4))) (neg.f64 (exp.f64 (neg.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 x (*.f64 x (fma.f64 -3/16 (*.f64 x x) 1/4))) (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 x (*.f64 x (fma.f64 -3/16 (*.f64 x x) 1/4))) (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))) 3))))))

simplify881.0ms (2.6%)

Algorithm

1×

egglog

Counts

358 → 478

Calls

Call 1

Inputs
(*.f64 -3/16 (pow.f64 x 2))
(*.f64 -3/16 (pow.f64 x 2))
(*.f64 -3/16 (pow.f64 x 2))
(*.f64 -3/16 (pow.f64 x 2))
(*.f64 -3/16 (pow.f64 (/.f64 1 x) -2))
(*.f64 -3/16 (pow.f64 (/.f64 1 x) -2))
(*.f64 -3/16 (pow.f64 (/.f64 1 x) -2))
(*.f64 -3/16 (pow.f64 (/.f64 1 x) -2))
(*.f64 -3/16 (pow.f64 (/.f64 -1 x) -2))
(*.f64 -3/16 (pow.f64 (/.f64 -1 x) -2))
(*.f64 -3/16 (pow.f64 (/.f64 -1 x) -2))
(*.f64 -3/16 (pow.f64 (/.f64 -1 x) -2))
(*.f64 1/4 (pow.f64 x 2))
(+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 -3/16 (pow.f64 x 4)))
(+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 -3/16 (pow.f64 x 4)))
(+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 -3/16 (pow.f64 x 4)))
(*.f64 -3/16 (pow.f64 (/.f64 1 x) -4))
(+.f64 (.f64 1/4 (pow.f64 (/.f64 1 x) -2)) (.f64 -3/16 (pow.f64 (/.f64 1 x) -4)))
(+.f64 (.f64 1/4 (pow.f64 (/.f64 1 x) -2)) (.f64 -3/16 (pow.f64 (/.f64 1 x) -4)))
(+.f64 (.f64 1/4 (pow.f64 (/.f64 1 x) -2)) (.f64 -3/16 (pow.f64 (/.f64 1 x) -4)))
(*.f64 -3/16 (pow.f64 (/.f64 -1 x) -4))
(+.f64 (.f64 1/4 (pow.f64 (/.f64 -1 x) -2)) (.f64 -3/16 (pow.f64 (/.f64 -1 x) -4)))
(+.f64 (.f64 1/4 (pow.f64 (/.f64 -1 x) -2)) (.f64 -3/16 (pow.f64 (/.f64 -1 x) -4)))
(+.f64 (.f64 1/4 (pow.f64 (/.f64 -1 x) -2)) (.f64 -3/16 (pow.f64 (/.f64 -1 x) -4)))
(*.f64 1/8 (pow.f64 x 2))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 -11/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4))))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 237/32768 (pow.f64 x 8)) (+.f64 (.f64 -11/1024 (pow.f64 x 6)) (.f64 -11/128 (pow.f64 x 4)))))
(+.f64 (.f64 3/64 (/.f64 (pow.f64 (/.f64 1 x) -3) (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2)))))) (.f64 -3/16 (/.f64 (pow.f64 (/.f64 1 x) -4) (+.f64 1 (sqrt.f64 1/2)))))
(+.f64 (.f64 3/64 (/.f64 (pow.f64 (/.f64 1 x) -3) (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2)))))) (+.f64 (.f64 (pow.f64 (/.f64 1 x) -2) (-.f64 (.f64 1/4 (/.f64 1 (+.f64 1 (sqrt.f64 1/2)))) (+.f64 (.f64 3/32 (/.f64 (pow.f64 (/.f64 1/4 (sqrt.f64 1/2)) 2) (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2)))))) (.f64 3/256 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2) (pow.f64 (sqrt.f64 1/2) 2)))))))) (.f64 -3/16 (/.f64 (pow.f64 (/.f64 1 x) -4) (+.f64 1 (sqrt.f64 1/2))))))
(+.f64 (.f64 3/64 (/.f64 (pow.f64 (/.f64 1 x) -3) (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2)))))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/4 (/.f64 (-.f64 (.f64 1/4 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1))) (+.f64 (.f64 3/32 (/.f64 (pow.f64 (/.f64 1/4 (sqrt.f64 1/2)) 2) (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2)))))) (.f64 3/256 (/.f64 1 (.f64 (+.f64 1 (sqrt.f64 1/2)) (.f64 (pow.f64 (+.f64 (sqrt.f64 1/2) 1) 2) (pow.f64 (sqrt.f64 1/2) 2))))))) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2))))) (+.f64 (.f64 -3/128 (/.f64 (pow.f64 (/.f64 1/4 (sqrt.f64 1/2)) 2) (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2) (pow.f64 (sqrt.f64 1/2) 2))))) (.f64 3/32 (/.f64 (+.f64 1/4 (.f64 -1/4 (/.f64 (pow.f64 (/.f64 1/4 (sqrt.f64 1/2)) 2) (pow.f64 (sqrt.f64 1/2) 2)))) (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2)))))))) x)) (+.f64 (.f64 (pow.f64 (/.f64 1 x) -2) (-.f64 (.f64 1/4 (/.f64 1 (+.f64 1 (sqrt.f64 1/2)))) (+.f64 (.f64 3/32 (/.f64 (pow.f64 (/.f64 1/4 (sqrt.f64 1/2)) 2) (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2)))))) (.f64 3/256 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2) (pow.f64 (sqrt.f64 1/2) 2)))))))) (.f64 -3/16 (/.f64 (pow.f64 (/.f64 1 x) -4) (+.f64 1 (sqrt.f64 1/2)))))))
(+.f64 (.f64 3/64 (/.f64 (pow.f64 (/.f64 -1 x) -3) (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2)))))) (.f64 -3/16 (/.f64 (pow.f64 (/.f64 -1 x) -4) (+.f64 1 (sqrt.f64 1/2)))))
(+.f64 (.f64 3/64 (/.f64 (pow.f64 (/.f64 -1 x) -3) (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2)))))) (+.f64 (.f64 -3/16 (/.f64 (pow.f64 (/.f64 -1 x) -4) (+.f64 1 (sqrt.f64 1/2)))) (.f64 (-.f64 (.f64 1/4 (/.f64 1 (+.f64 1 (sqrt.f64 1/2)))) (+.f64 (.f64 3/32 (/.f64 (pow.f64 (/.f64 1/4 (sqrt.f64 1/2)) 2) (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2)))))) (.f64 3/256 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2) (pow.f64 (sqrt.f64 1/2) 2))))))) (pow.f64 (/.f64 -1 x) -2))))
(+.f64 (.f64 3/64 (/.f64 (pow.f64 (/.f64 -1 x) -3) (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2)))))) (+.f64 (.f64 -3/16 (/.f64 (pow.f64 (/.f64 -1 x) -4) (+.f64 1 (sqrt.f64 1/2)))) (+.f64 (.f64 (+.f64 (.f64 1/4 (/.f64 (-.f64 (.f64 1/4 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1))) (+.f64 (.f64 3/32 (/.f64 (pow.f64 (/.f64 1/4 (sqrt.f64 1/2)) 2) (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2)))))) (.f64 3/256 (/.f64 1 (.f64 (+.f64 1 (sqrt.f64 1/2)) (.f64 (pow.f64 (+.f64 (sqrt.f64 1/2) 1) 2) (pow.f64 (sqrt.f64 1/2) 2))))))) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2))))) (+.f64 (.f64 -3/128 (/.f64 (pow.f64 (/.f64 1/4 (sqrt.f64 1/2)) 2) (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2) (pow.f64 (sqrt.f64 1/2) 2))))) (.f64 3/32 (/.f64 (+.f64 1/4 (.f64 -1/4 (/.f64 (pow.f64 (/.f64 1/4 (sqrt.f64 1/2)) 2) (pow.f64 (sqrt.f64 1/2) 2)))) (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2)))))))) x) (.f64 (-.f64 (.f64 1/4 (/.f64 1 (+.f64 1 (sqrt.f64 1/2)))) (+.f64 (.f64 3/32 (/.f64 (pow.f64 (/.f64 1/4 (sqrt.f64 1/2)) 2) (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2)))))) (.f64 3/256 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2) (pow.f64 (sqrt.f64 1/2) 2))))))) (pow.f64 (/.f64 -1 x) -2)))))
(if (!=.f64 (.f64 (.f64 -3/16 x) x) 0) (/.f64 1 (pow.f64 (.f64 (.f64 -3/16 x) x) -1)) (.f64 (.f64 -3/16 x) x))
(.f64 (.f64 -3/16 x) x)
(.f64 x (.f64 -3/16 x))
(.f64 (cbrt.f64 -3/16) (.f64 (cbrt.f64 9/256) (*.f64 x x)))
(.f64 (.f64 (cbrt.f64 9/256) (*.f64 x x)) (cbrt.f64 -3/16))
(.f64 (cbrt.f64 (cbrt.f64 -3/16)) (.f64 (cbrt.f64 (cbrt.f64 9/256)) (.f64 (cbrt.f64 9/256) (.f64 x x))))
(.f64 (cbrt.f64 (.f64 (.f64 -3/16 x) x)) (cbrt.f64 (pow.f64 (.f64 (*.f64 -3/16 x) x) 2)))
(.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 -3/16 x) x) 2)) (cbrt.f64 (.f64 (*.f64 -3/16 x) x)))
(.f64 (.f64 (*.f64 x x) (cbrt.f64 -3/16)) (cbrt.f64 9/256))
(.f64 (.f64 (.f64 -3/16 x) (cbrt.f64 x)) (cbrt.f64 (.f64 x x)))
(.f64 (cbrt.f64 (.f64 x x)) (.f64 (cbrt.f64 (pow.f64 (.f64 x x) 2)) -3/16))
(.f64 -3/16 (.f64 x x))
(.f64 (.f64 x x) -3/16)
(.f64 (.f64 -3/16 (cbrt.f64 (.f64 x x))) (cbrt.f64 (pow.f64 (.f64 x x) 2)))
(.f64 1 (.f64 (*.f64 -3/16 x) x))
(.f64 (.f64 (*.f64 -3/16 x) x) 1)
(.f64 -1 (.f64 3/16 (*.f64 x x)))
(.f64 (cbrt.f64 (pow.f64 (.f64 x x) 2)) (.f64 -3/16 (cbrt.f64 (.f64 x x))))
(.f64 (cbrt.f64 9/256) (.f64 (*.f64 x x) (cbrt.f64 -3/16)))
(.f64 (.f64 3/16 (*.f64 x x)) -1)
(.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 x x) 2)) -3/16) (cbrt.f64 (.f64 x x)))
(.f64 (cbrt.f64 (.f64 x x)) (.f64 (.f64 -3/16 x) (cbrt.f64 x)))
(.f64 -1/2 (.f64 2 (.f64 3/16 (.f64 x x))))
(.f64 2 (.f64 -1/2 (.f64 3/16 (.f64 x x))))
(/.f64 (.f64 (.f64 -3/16 x) x) 1)
(/.f64 (.f64 3/16 (.f64 x x)) -1)
(pow.f64 (cbrt.f64 (.f64 (.f64 -3/16 x) x)) 3)
(pow.f64 (pow.f64 (.f64 (.f64 -3/16 x) x) 3) 1/3)
(pow.f64 (.f64 (.f64 -3/16 x) x) 1)
(neg.f64 (.f64 3/16 (.f64 x x)))
(cbrt.f64 (pow.f64 (.f64 (.f64 -3/16 x) x) 3))
(fma.f64 (.f64 x x) (.f64 (.f64 -3/16 x) x) (.f64 (*.f64 x x) 1/4))
(fma.f64 (.f64 (.f64 -3/16 x) x) (.f64 x x) (.f64 (*.f64 x x) 1/4))
(fma.f64 (cbrt.f64 (.f64 (.f64 x x) 1/4)) (cbrt.f64 (pow.f64 (.f64 (.f64 x x) 1/4) 2)) (.f64 (pow.f64 (.f64 x x) 2) -3/16))
(fma.f64 (.f64 (.f64 x x) (cbrt.f64 1/4)) (cbrt.f64 1/16) (.f64 (pow.f64 (.f64 x x) 2) -3/16))
(fma.f64 x (.f64 1/4 x) (.f64 (pow.f64 (*.f64 x x) 2) -3/16))
(fma.f64 (.f64 1/2 x) (.f64 1/2 x) (.f64 (pow.f64 (.f64 x x) 2) -3/16))
(fma.f64 (.f64 1/4 x) x (.f64 (pow.f64 (*.f64 x x) 2) -3/16))
(fma.f64 (.f64 (.f64 x x) 1/2) 1/2 (.f64 (pow.f64 (.f64 x x) 2) -3/16))
(fma.f64 1 (.f64 (.f64 x x) 1/4) (.f64 (pow.f64 (.f64 x x) 2) -3/16))
(fma.f64 (.f64 x x) 1/4 (.f64 (pow.f64 (*.f64 x x) 2) -3/16))
(fma.f64 1/2 (.f64 (.f64 x x) 1/2) (.f64 (pow.f64 (.f64 x x) 2) -3/16))
(fma.f64 (cbrt.f64 1/4) (.f64 (cbrt.f64 1/16) (.f64 x x)) (.f64 (pow.f64 (.f64 x x) 2) -3/16))
(fma.f64 1/4 (.f64 x x) (.f64 (pow.f64 (*.f64 x x) 2) -3/16))
(fma.f64 (.f64 1/4 (cbrt.f64 (.f64 x x))) (cbrt.f64 (pow.f64 (.f64 x x) 2)) (.f64 (pow.f64 (*.f64 x x) 2) -3/16))
(fma.f64 (cbrt.f64 (.f64 x x)) (.f64 (cbrt.f64 (pow.f64 (.f64 x x) 2)) 1/4) (.f64 (pow.f64 (*.f64 x x) 2) -3/16))
(fma.f64 (.f64 (pow.f64 (.f64 x x) 2) -3/16) 1 (.f64 (.f64 x x) 1/4))
(fma.f64 (cbrt.f64 (.f64 (.f64 -3/16 x) x)) (.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 -3/16 x) x) 2)) (.f64 x x)) (.f64 (.f64 x x) 1/4))
(fma.f64 (.f64 (.f64 (.f64 -3/16 x) x) (cbrt.f64 (.f64 x x))) (cbrt.f64 (pow.f64 (.f64 x x) 2)) (.f64 (*.f64 x x) 1/4))
(fma.f64 x (.f64 (.f64 (.f64 -3/16 x) x) x) (.f64 (*.f64 x x) 1/4))
(fma.f64 -3/16 (pow.f64 (.f64 x x) 2) (.f64 (*.f64 x x) 1/4))
(fma.f64 (pow.f64 (.f64 x x) 2) -3/16 (.f64 (*.f64 x x) 1/4))
(fma.f64 (.f64 -3/16 x) (pow.f64 x 3) (.f64 (*.f64 x x) 1/4))
(fma.f64 (.f64 (.f64 (.f64 -3/16 x) x) x) x (.f64 (*.f64 x x) 1/4))
(fma.f64 (.f64 (.f64 x x) (cbrt.f64 (.f64 (.f64 -3/16 x) x))) (cbrt.f64 (pow.f64 (.f64 (.f64 -3/16 x) x) 2)) (.f64 (.f64 x x) 1/4))
(fma.f64 (.f64 (cbrt.f64 (.f64 -3/16 x)) x) (pow.f64 (.f64 (cbrt.f64 (.f64 -3/16 x)) x) 2) (.f64 (.f64 x x) 1/4))
(fma.f64 1 (.f64 (pow.f64 (.f64 x x) 2) -3/16) (.f64 (.f64 x x) 1/4))
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(/.f64 (.f64 (/.f64 x (sqrt.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))))) (.f64 x (fma.f64 -3/16 (*.f64 x x) 1/4))) (sqrt.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))))
(/.f64 (.f64 (.f64 x x) (.f64 (fma.f64 -3/16 (.f64 x x) 1/4) (cbrt.f64 (pow.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) -2)))) (cbrt.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))))
(/.f64 (.f64 x (.f64 (.f64 x (fma.f64 -3/16 (.f64 x x) 1/4)) (cbrt.f64 (pow.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) -2)))) (cbrt.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))))
(/.f64 (/.f64 (.f64 x (.f64 x (fma.f64 -3/16 (*.f64 x x) 1/4))) (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))) 1)
(/.f64 (neg.f64 (/.f64 (.f64 x (.f64 x (fma.f64 -3/16 (*.f64 x x) 1/4))) (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))))) -1)
(/.f64 (.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 x x) 3) -27/4096 1/64)) (/.f64 (.f64 x x) (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))))) (+.f64 (neg.f64 (pow.f64 (.f64 (.f64 -3/16 x) x) 2)) (fma.f64 (.f64 x x) -3/64 -1/16)))
(/.f64 (.f64 (cbrt.f64 (.f64 x (.f64 x (fma.f64 -3/16 (.f64 x x) 1/4)))) (cbrt.f64 (pow.f64 (/.f64 (.f64 x (.f64 x (fma.f64 -3/16 (*.f64 x x) 1/4))) (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))) 2))) (cbrt.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))))
(/.f64 (.f64 (.f64 (.f64 x x) (fma.f64 (pow.f64 (.f64 x x) 3) -27/4096 1/64)) (exp.f64 (neg.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))))) (-.f64 (fma.f64 (pow.f64 (.f64 x x) 2) 9/256 1/16) (.f64 (*.f64 x x) -3/64)))
(/.f64 (.f64 1 (.f64 (cbrt.f64 (pow.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) -2)) (.f64 x (.f64 x (fma.f64 -3/16 (*.f64 x x) 1/4))))) (cbrt.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))))
(/.f64 (.f64 (.f64 x (.f64 x (fma.f64 -3/16 (.f64 x x) 1/4))) (cbrt.f64 (pow.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) -2))) (cbrt.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))))
(/.f64 (.f64 -1 (.f64 (cbrt.f64 (pow.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) -2)) (.f64 x (.f64 x (fma.f64 -3/16 (*.f64 x x) 1/4))))) (cbrt.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))))
(/.f64 (.f64 -1 (.f64 (.f64 x (.f64 x (fma.f64 -3/16 (*.f64 x x) 1/4))) (cbrt.f64 (pow.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) -2)))) (cbrt.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))))
(/.f64 (.f64 (fma.f64 -3/16 (.f64 x x) 1/4) (.f64 (cbrt.f64 (pow.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) -2)) (.f64 x x))) (cbrt.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))))
(/.f64 (.f64 (fma.f64 -3/16 (.f64 x x) 1/4) (/.f64 (*.f64 x x) (sqrt.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))))) (sqrt.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))))
(/.f64 (.f64 (cbrt.f64 (.f64 x (.f64 x (fma.f64 -3/16 (.f64 x x) 1/4)))) (/.f64 (cbrt.f64 (pow.f64 (.f64 x (.f64 x (fma.f64 -3/16 (*.f64 x x) 1/4))) 2)) (sqrt.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))))) (sqrt.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))))
(/.f64 (/.f64 (.f64 x (.f64 x (fma.f64 -3/16 (*.f64 x x) 1/4))) (neg.f64 (sqrt.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))))) (neg.f64 (sqrt.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))))))
(/.f64 (/.f64 (.f64 x (.f64 x (fma.f64 -3/16 (*.f64 x x) 1/4))) (+.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3))) (/.f64 1 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1)))
(/.f64 (/.f64 (.f64 x (.f64 x (fma.f64 -3/16 (.f64 x x) 1/4))) (cbrt.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))) (.f64 (cbrt.f64 (pow.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) 2)) -1))
(/.f64 (/.f64 (/.f64 (.f64 x (.f64 x (fma.f64 -3/16 (*.f64 x x) 1/4))) (cbrt.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))))) (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))))) 2) 2))
(/.f64 (/.f64 (/.f64 (.f64 x (.f64 x (fma.f64 -3/16 (*.f64 x x) 1/4))) (cbrt.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))))) 1) (cbrt.f64 (pow.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) 2)))
(/.f64 (/.f64 (/.f64 (.f64 x (.f64 x (fma.f64 -3/16 (*.f64 x x) 1/4))) (sqrt.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))))) (cbrt.f64 (sqrt.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))))) (cbrt.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))))
(/.f64 (/.f64 (/.f64 (.f64 x (.f64 x (fma.f64 -3/16 (*.f64 x x) 1/4))) (sqrt.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))))) 1) (sqrt.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))))
(/.f64 (/.f64 (.f64 (/.f64 (.f64 x x) (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))) (fma.f64 (pow.f64 (.f64 x x) 3) -27/4096 1/64)) 1) (-.f64 (fma.f64 (pow.f64 (.f64 x x) 2) 9/256 1/16) (.f64 (.f64 x x) -3/64)))
(/.f64 (/.f64 (.f64 (neg.f64 (.f64 x x)) (fma.f64 -3/16 (*.f64 x x) 1/4)) (sqrt.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))))) (neg.f64 (sqrt.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))))))
(/.f64 (/.f64 (.f64 (neg.f64 (.f64 x x)) (fma.f64 -3/16 (*.f64 x x) 1/4)) (cbrt.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))))) (neg.f64 (cbrt.f64 (pow.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) 2))))
(/.f64 (neg.f64 (.f64 (/.f64 (.f64 x x) (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))) (fma.f64 (pow.f64 (.f64 x x) 3) -27/4096 1/64))) (+.f64 (neg.f64 (pow.f64 (.f64 (.f64 -3/16 x) x) 2)) (fma.f64 (.f64 x x) -3/64 -1/16)))
(/.f64 (neg.f64 (/.f64 (.f64 x (.f64 x (fma.f64 -3/16 (*.f64 x x) 1/4))) (cbrt.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))))) (neg.f64 (cbrt.f64 (pow.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) 2))))
(/.f64 (neg.f64 (/.f64 (.f64 x (.f64 x (fma.f64 -3/16 (*.f64 x x) 1/4))) (sqrt.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))))) (neg.f64 (sqrt.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))))))
(pow.f64 (pow.f64 (/.f64 (.f64 x (.f64 x (fma.f64 -3/16 (*.f64 x x) 1/4))) (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (.f64 x (.f64 x (fma.f64 -3/16 (*.f64 x x) 1/4))) (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))))) 3)
(pow.f64 (/.f64 (.f64 x (.f64 x (fma.f64 -3/16 (*.f64 x x) 1/4))) (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))) 1)
(neg.f64 (neg.f64 (/.f64 (.f64 x (.f64 x (fma.f64 -3/16 (*.f64 x x) 1/4))) (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))))))
(neg.f64 (.f64 (neg.f64 (exp.f64 (neg.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))))) (.f64 x (.f64 x (fma.f64 -3/16 (.f64 x x) 1/4)))))
(neg.f64 (.f64 (/.f64 (.f64 x (.f64 x (fma.f64 -3/16 (.f64 x x) 1/4))) (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))) -1))
(neg.f64 (.f64 (.f64 x (.f64 x (fma.f64 -3/16 (.f64 x x) 1/4))) (neg.f64 (exp.f64 (neg.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))))))
(neg.f64 (/.f64 (.f64 x (.f64 x (fma.f64 -3/16 (*.f64 x x) 1/4))) (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))))
(cbrt.f64 (pow.f64 (/.f64 (.f64 x (.f64 x (fma.f64 -3/16 (*.f64 x x) 1/4))) (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))) 3))

Outputs
(*.f64 -3/16 (pow.f64 x 2))
(.f64 (.f64 -3/16 x) x)
(*.f64 -3/16 (pow.f64 x 2))
(.f64 (.f64 -3/16 x) x)
(*.f64 -3/16 (pow.f64 x 2))
(.f64 (.f64 -3/16 x) x)
(*.f64 -3/16 (pow.f64 x 2))
(.f64 (.f64 -3/16 x) x)
(*.f64 -3/16 (pow.f64 (/.f64 1 x) -2))
(*.f64 -3/16 (pow.f64 (/.f64 1 x) -2))
(*.f64 -3/16 (pow.f64 (/.f64 1 x) -2))
(*.f64 -3/16 (pow.f64 (/.f64 1 x) -2))
(*.f64 -3/16 (pow.f64 (/.f64 -1 x) -2))
(*.f64 -3/16 (pow.f64 (/.f64 -1 x) -2))
(*.f64 -3/16 (pow.f64 (/.f64 -1 x) -2))
(*.f64 -3/16 (pow.f64 (/.f64 -1 x) -2))
(*.f64 1/4 (pow.f64 x 2))
(.f64 x (.f64 1/4 x))
(+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 -3/16 (pow.f64 x 4)))
(fma.f64 -3/16 (pow.f64 x 4) (.f64 x (.f64 1/4 x)))
(+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 -3/16 (pow.f64 x 4)))
(fma.f64 -3/16 (pow.f64 x 4) (.f64 x (.f64 1/4 x)))
(+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 -3/16 (pow.f64 x 4)))
(fma.f64 -3/16 (pow.f64 x 4) (.f64 x (.f64 1/4 x)))
(*.f64 -3/16 (pow.f64 (/.f64 1 x) -4))
(+.f64 (.f64 1/4 (pow.f64 (/.f64 1 x) -2)) (.f64 -3/16 (pow.f64 (/.f64 1 x) -4)))
(fma.f64 1/4 (pow.f64 (/.f64 1 x) -2) (*.f64 -3/16 (pow.f64 (/.f64 1 x) -4)))
(+.f64 (.f64 1/4 (pow.f64 (/.f64 1 x) -2)) (.f64 -3/16 (pow.f64 (/.f64 1 x) -4)))
(fma.f64 1/4 (pow.f64 (/.f64 1 x) -2) (*.f64 -3/16 (pow.f64 (/.f64 1 x) -4)))
(+.f64 (.f64 1/4 (pow.f64 (/.f64 1 x) -2)) (.f64 -3/16 (pow.f64 (/.f64 1 x) -4)))
(fma.f64 1/4 (pow.f64 (/.f64 1 x) -2) (*.f64 -3/16 (pow.f64 (/.f64 1 x) -4)))
(*.f64 -3/16 (pow.f64 (/.f64 -1 x) -4))
(+.f64 (.f64 1/4 (pow.f64 (/.f64 -1 x) -2)) (.f64 -3/16 (pow.f64 (/.f64 -1 x) -4)))
(fma.f64 1/4 (pow.f64 (/.f64 -1 x) -2) (*.f64 -3/16 (pow.f64 (/.f64 -1 x) -4)))
(+.f64 (.f64 1/4 (pow.f64 (/.f64 -1 x) -2)) (.f64 -3/16 (pow.f64 (/.f64 -1 x) -4)))
(fma.f64 1/4 (pow.f64 (/.f64 -1 x) -2) (*.f64 -3/16 (pow.f64 (/.f64 -1 x) -4)))
(+.f64 (.f64 1/4 (pow.f64 (/.f64 -1 x) -2)) (.f64 -3/16 (pow.f64 (/.f64 -1 x) -4)))
(fma.f64 1/4 (pow.f64 (/.f64 -1 x) -2) (*.f64 -3/16 (pow.f64 (/.f64 -1 x) -4)))
(*.f64 1/8 (pow.f64 x 2))
(.f64 1/8 (.f64 x x))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))
(fma.f64 1/8 (.f64 x x) (.f64 -11/128 (pow.f64 x 4)))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 -11/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4))))
(fma.f64 1/8 (.f64 x x) (fma.f64 -11/1024 (pow.f64 x 6) (.f64 -11/128 (pow.f64 x 4))))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 237/32768 (pow.f64 x 8)) (+.f64 (.f64 -11/1024 (pow.f64 x 6)) (.f64 -11/128 (pow.f64 x 4)))))
(fma.f64 1/8 (.f64 x x) (fma.f64 237/32768 (pow.f64 x 8) (fma.f64 -11/1024 (pow.f64 x 6) (.f64 -11/128 (pow.f64 x 4)))))
(+.f64 (.f64 3/64 (/.f64 (pow.f64 (/.f64 1 x) -3) (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2)))))) (.f64 -3/16 (/.f64 (pow.f64 (/.f64 1 x) -4) (+.f64 1 (sqrt.f64 1/2)))))
(fma.f64 3/64 (/.f64 (pow.f64 (/.f64 1 x) -3) (.f64 (+.f64 (sqrt.f64 1/2) 1/2) (+.f64 (sqrt.f64 1/2) 1))) (/.f64 (.f64 -3/16 (pow.f64 (/.f64 1 x) -4)) (+.f64 (sqrt.f64 1/2) 1)))
(+.f64 (.f64 3/64 (/.f64 (pow.f64 (/.f64 1 x) -3) (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2)))))) (+.f64 (.f64 (pow.f64 (/.f64 1 x) -2) (-.f64 (.f64 1/4 (/.f64 1 (+.f64 1 (sqrt.f64 1/2)))) (+.f64 (.f64 3/32 (/.f64 (pow.f64 (/.f64 1/4 (sqrt.f64 1/2)) 2) (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2)))))) (.f64 3/256 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2) (pow.f64 (sqrt.f64 1/2) 2)))))))) (.f64 -3/16 (/.f64 (pow.f64 (/.f64 1 x) -4) (+.f64 1 (sqrt.f64 1/2))))))
(fma.f64 3/64 (/.f64 (pow.f64 (/.f64 1 x) -3) (.f64 (+.f64 (sqrt.f64 1/2) 1/2) (+.f64 (sqrt.f64 1/2) 1))) (fma.f64 (pow.f64 (/.f64 1 x) -2) (-.f64 (/.f64 1/4 (+.f64 (sqrt.f64 1/2) 1)) (fma.f64 3/32 (/.f64 (pow.f64 (/.f64 1/4 (sqrt.f64 1/2)) 2) (.f64 (+.f64 (sqrt.f64 1/2) 1/2) (+.f64 (sqrt.f64 1/2) 1))) (/.f64 3/256 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (pow.f64 (+.f64 (sqrt.f64 1/2) 1) 2) 1/2))))) (/.f64 (*.f64 -3/16 (pow.f64 (/.f64 1 x) -4)) (+.f64 (sqrt.f64 1/2) 1))))
(+.f64 (.f64 3/64 (/.f64 (pow.f64 (/.f64 1 x) -3) (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2)))))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/4 (/.f64 (-.f64 (.f64 1/4 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1))) (+.f64 (.f64 3/32 (/.f64 (pow.f64 (/.f64 1/4 (sqrt.f64 1/2)) 2) (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2)))))) (.f64 3/256 (/.f64 1 (.f64 (+.f64 1 (sqrt.f64 1/2)) (.f64 (pow.f64 (+.f64 (sqrt.f64 1/2) 1) 2) (pow.f64 (sqrt.f64 1/2) 2))))))) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2))))) (+.f64 (.f64 -3/128 (/.f64 (pow.f64 (/.f64 1/4 (sqrt.f64 1/2)) 2) (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2) (pow.f64 (sqrt.f64 1/2) 2))))) (.f64 3/32 (/.f64 (+.f64 1/4 (.f64 -1/4 (/.f64 (pow.f64 (/.f64 1/4 (sqrt.f64 1/2)) 2) (pow.f64 (sqrt.f64 1/2) 2)))) (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2)))))))) x)) (+.f64 (.f64 (pow.f64 (/.f64 1 x) -2) (-.f64 (.f64 1/4 (/.f64 1 (+.f64 1 (sqrt.f64 1/2)))) (+.f64 (.f64 3/32 (/.f64 (pow.f64 (/.f64 1/4 (sqrt.f64 1/2)) 2) (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2)))))) (.f64 3/256 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2) (pow.f64 (sqrt.f64 1/2) 2)))))))) (.f64 -3/16 (/.f64 (pow.f64 (/.f64 1 x) -4) (+.f64 1 (sqrt.f64 1/2)))))))
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(/.f64 (.f64 (cbrt.f64 (.f64 x (.f64 x (fma.f64 -3/16 (.f64 x x) 1/4)))) (/.f64 (cbrt.f64 (pow.f64 (.f64 x (.f64 x (fma.f64 -3/16 (*.f64 x x) 1/4))) 2)) (sqrt.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))))) (sqrt.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))))
(/.f64 (.f64 x (.f64 x (fma.f64 -3/16 (*.f64 x x) 1/4))) (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))))
(/.f64 (/.f64 (.f64 x (.f64 x (fma.f64 -3/16 (*.f64 x x) 1/4))) (neg.f64 (sqrt.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))))) (neg.f64 (sqrt.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))))))
(/.f64 (.f64 x (.f64 x (fma.f64 -3/16 (.f64 x x) 1/4))) (.f64 (neg.f64 (sqrt.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))))) (neg.f64 (sqrt.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))))))
(/.f64 (/.f64 (.f64 x (.f64 x (fma.f64 -3/16 (*.f64 x x) 1/4))) (+.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3))) (/.f64 1 (fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) (+.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1)))
(/.f64 (/.f64 (.f64 x (.f64 x (fma.f64 -3/16 (.f64 x x) 1/4))) (cbrt.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))) (.f64 (cbrt.f64 (pow.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) 2)) -1))
(/.f64 (/.f64 (.f64 x (.f64 x (fma.f64 -3/16 (.f64 x x) 1/4))) (cbrt.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))) (neg.f64 (cbrt.f64 (exp.f64 (.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 2)))))
(/.f64 (/.f64 (/.f64 (.f64 x (.f64 x (fma.f64 -3/16 (*.f64 x x) 1/4))) (cbrt.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))))) (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))))) 2) 2))
(/.f64 (/.f64 (.f64 x (.f64 x (fma.f64 -3/16 (.f64 x x) 1/4))) (cbrt.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))))) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))))) 2) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))))) 2)))
(/.f64 (/.f64 (/.f64 (.f64 x (.f64 x (fma.f64 -3/16 (*.f64 x x) 1/4))) (cbrt.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))))) 1) (cbrt.f64 (pow.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) 2)))
(/.f64 (/.f64 (.f64 x (.f64 x (fma.f64 -3/16 (.f64 x x) 1/4))) (cbrt.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))))) (cbrt.f64 (exp.f64 (.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 2))))
(/.f64 (/.f64 (/.f64 (.f64 x (.f64 x (fma.f64 -3/16 (*.f64 x x) 1/4))) (sqrt.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))))) (cbrt.f64 (sqrt.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))))) (cbrt.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))))
(/.f64 (/.f64 (.f64 x (.f64 x (fma.f64 -3/16 (.f64 x x) 1/4))) (sqrt.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))))) (.f64 (cbrt.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))) (cbrt.f64 (sqrt.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))))))
(/.f64 (/.f64 (/.f64 (.f64 x (.f64 x (fma.f64 -3/16 (*.f64 x x) 1/4))) (sqrt.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))))) 1) (sqrt.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))))
(/.f64 (.f64 x (.f64 x (fma.f64 -3/16 (*.f64 x x) 1/4))) (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))))
(/.f64 (/.f64 (.f64 (/.f64 (.f64 x x) (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))) (fma.f64 (pow.f64 (.f64 x x) 3) -27/4096 1/64)) 1) (-.f64 (fma.f64 (pow.f64 (.f64 x x) 2) 9/256 1/16) (.f64 (.f64 x x) -3/64)))
(/.f64 (.f64 x (.f64 x (fma.f64 (pow.f64 (.f64 x x) 3) -27/4096 1/64))) (.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (-.f64 (fma.f64 (pow.f64 x 4) 9/256 1/16) (.f64 x (.f64 x -3/64)))))
(/.f64 (/.f64 (.f64 (neg.f64 (.f64 x x)) (fma.f64 -3/16 (*.f64 x x) 1/4)) (sqrt.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))))) (neg.f64 (sqrt.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))))))
(/.f64 (.f64 x (.f64 x (fma.f64 -3/16 (*.f64 x x) 1/4))) (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))))
(/.f64 (/.f64 (.f64 (neg.f64 (.f64 x x)) (fma.f64 -3/16 (*.f64 x x) 1/4)) (cbrt.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))))) (neg.f64 (cbrt.f64 (pow.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) 2))))
(/.f64 (/.f64 (.f64 x (.f64 x (fma.f64 -3/16 (.f64 x x) 1/4))) (cbrt.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))))) (cbrt.f64 (exp.f64 (.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 2))))
(/.f64 (neg.f64 (.f64 (/.f64 (.f64 x x) (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))) (fma.f64 (pow.f64 (.f64 x x) 3) -27/4096 1/64))) (+.f64 (neg.f64 (pow.f64 (.f64 (.f64 -3/16 x) x) 2)) (fma.f64 (.f64 x x) -3/64 -1/16)))
(/.f64 (.f64 (neg.f64 (.f64 x x)) (fma.f64 (pow.f64 (.f64 x x) 3) -27/4096 1/64)) (.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (+.f64 (neg.f64 (pow.f64 (.f64 (.f64 -3/16 x) x) 2)) (fma.f64 (*.f64 x x) -3/64 -1/16))))
(/.f64 (neg.f64 (/.f64 (.f64 x (.f64 x (fma.f64 -3/16 (*.f64 x x) 1/4))) (cbrt.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))))) (neg.f64 (cbrt.f64 (pow.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) 2))))
(/.f64 (/.f64 (.f64 x (.f64 x (fma.f64 -3/16 (.f64 x x) 1/4))) (cbrt.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))))) (cbrt.f64 (exp.f64 (.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 2))))
(/.f64 (neg.f64 (/.f64 (.f64 x (.f64 x (fma.f64 -3/16 (*.f64 x x) 1/4))) (sqrt.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))))) (neg.f64 (sqrt.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))))))
(/.f64 (.f64 x (.f64 x (fma.f64 -3/16 (*.f64 x x) 1/4))) (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))))
(pow.f64 (pow.f64 (/.f64 (.f64 x (.f64 x (fma.f64 -3/16 (*.f64 x x) 1/4))) (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))) 3) 1/3)
(/.f64 (.f64 x (.f64 x (fma.f64 -3/16 (*.f64 x x) 1/4))) (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))))
(pow.f64 (cbrt.f64 (/.f64 (.f64 x (.f64 x (fma.f64 -3/16 (*.f64 x x) 1/4))) (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))))) 3)
(/.f64 (.f64 x (.f64 x (fma.f64 -3/16 (*.f64 x x) 1/4))) (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))))
(pow.f64 (/.f64 (.f64 x (.f64 x (fma.f64 -3/16 (*.f64 x x) 1/4))) (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))) 1)
(/.f64 (.f64 x (.f64 x (fma.f64 -3/16 (*.f64 x x) 1/4))) (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))))
(neg.f64 (neg.f64 (/.f64 (.f64 x (.f64 x (fma.f64 -3/16 (*.f64 x x) 1/4))) (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))))))
(/.f64 (.f64 x (.f64 x (fma.f64 -3/16 (*.f64 x x) 1/4))) (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))))
(neg.f64 (.f64 (neg.f64 (exp.f64 (neg.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))))) (.f64 x (.f64 x (fma.f64 -3/16 (.f64 x x) 1/4)))))
(/.f64 (.f64 x (.f64 x (fma.f64 -3/16 (*.f64 x x) 1/4))) (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))))
(neg.f64 (.f64 (/.f64 (.f64 x (.f64 x (fma.f64 -3/16 (.f64 x x) 1/4))) (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))) -1))
(/.f64 (.f64 x (.f64 x (fma.f64 -3/16 (*.f64 x x) 1/4))) (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))))
(neg.f64 (.f64 (.f64 x (.f64 x (fma.f64 -3/16 (.f64 x x) 1/4))) (neg.f64 (exp.f64 (neg.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))))))
(/.f64 (.f64 x (.f64 x (fma.f64 -3/16 (*.f64 x x) 1/4))) (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))))
(neg.f64 (/.f64 (.f64 x (.f64 x (fma.f64 -3/16 (*.f64 x x) 1/4))) (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))))
(/.f64 (.f64 (neg.f64 (.f64 x x)) (fma.f64 -3/16 (*.f64 x x) 1/4)) (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))
(cbrt.f64 (pow.f64 (/.f64 (.f64 x (.f64 x (fma.f64 -3/16 (*.f64 x x) 1/4))) (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))))) 3))
(/.f64 (.f64 x (.f64 x (fma.f64 -3/16 (*.f64 x x) 1/4))) (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))))

localize52.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(+.f64 1 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))
✓	0.5b	(-.f64 1 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))
✓	0.5b	(sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))
✓	0.5b	(*.f64 (-.f64 1 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) (+.f64 1 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))))

Compiler

Compiled 63 to 54 computations (14.3% saved)

series261.0ms (0.8%)

Counts

4 → 0

Calls

12 calls:

Time	Variable		Point	Expression
6.0ms	x	@	0	(*.f64 (-.f64 1 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) (+.f64 1 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))))
4.0ms	x	@	inf	(*.f64 (-.f64 1 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) (+.f64 1 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))))
4.0ms	x	@	-inf	(*.f64 (-.f64 1 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) (+.f64 1 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))))
2.0ms	x	@	0	(sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))
1.0ms	x	@	0	(+.f64 1 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))

Compiler

Compiled 16680 to 14645 computations (12.2% saved)

rewrite436.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

253×	`egg-rr`
193×	`egg-rr`
77×	`egg-rr`
23×	`egg-rr`

Counts

4 → 546

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))) (cbrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) 2)) (-.f64 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) 1 (-.f64 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 1 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) (-.f64 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (exp.f64 (log1p.f64 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))) 1 (neg.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 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#<rule egg-rr> (2) ((x .f64 (sqrt.f64 (sqrt.f64 (exp.f64 (log1p.f64 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))))) (.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (log1p.f64 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))))) (sqrt.f64 (exp.f64 (log1p.f64 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (sqrt.f64 (exp.f64 (log1p.f64 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))))) (.f64 (cbrt.f64 (exp.f64 (log1p.f64 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))))) (sqrt.f64 (exp.f64 (log1p.f64 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (neg.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 3/2)) -1) (/.f64 1 (+.f64 (-.f64 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (-.f64 1 (cbrt.f64 (sqrt.f64 (sqrt.f64 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(2) ((x /.f64 (.f64 (+.f64 (neg.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 3/2)) -1) 1) (+.f64 (-.f64 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 3/2)) (cbrt.f64 (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))))) (pow.f64 (cbrt.f64 (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) (/.f64 (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) (exp.f64 (log1p.f64 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 3/2) 3)) (.f64 (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) (-.f64 (+.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 3)) (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (neg.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 3/2))) (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (neg.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 3/2)) -1)) (neg.f64 (+.f64 (-.f64 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (.f64 (log1p.f64 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (log1p.f64 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (log1p.f64 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (exp.f64 (log1p.f64 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (log1p.f64 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (log1p.f64 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))) (.f64 3 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (log1p.f64 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))) (.f64 1/3 3))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 3/2)) (+.f64 (-.f64 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 (log1p.f64 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (exp.f64 (.f64 (log1p.f64 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (exp.f64 (log1p.f64 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log1p.f64 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (exp.f64 (log1p.f64 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))))) 2))))))

simplify2.1s (6.4%)

Algorithm

1×

egglog

Counts

546 → 686

Calls

Call 1

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

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

eval3.6s (10.8%)

Compiler: Compiled 106612 to 92343 computations (13.4% saved)

prune1.4s (4.1%)

Pruning

20 alts after pruning (8 fresh and 12 done)

	Pruned	Kept	Total
New	2409	5	2414
Fresh	2	3	5
Picked	0	1	1
Done	2	11	13
Total	2413	20	2433

Error

Counts

2433 → 20

Alt Table

Click to see full alt table

Status	Error	Program
	29.6b	(fma.f64 1/8 (.f64 x x) (.f64 -11/128 (pow.f64 x 4)))
	14.2b	(pow.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 3) 1/3)
	35.7b	(pow.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 1/3) 3)
✓	14.8b	(pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) 3)
	35.5b	(/.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 3)) (+.f64 1 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))))
	34.2b	(/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))
✓	35.5b	(-.f64 1 (if (!=.f64 (+.f64 1/2 (/.f64 1/2 x)) 0) (/.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
✓	35.3b	(-.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 1/2 x))))
✓	14.2b	(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))
✓	35.5b	(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
✓	34.6b	(-.f64 1 (sqrt.f64 1/2))
✓	42.8b	(-.f64 1 1)
✓	14.2b	(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2)))
✓	13.8b	(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (-.f64 1 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))))
	29.7b	(.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (+.f64 1/2 (.f64 -1/4 (.f64 x x))))))) (.f64 (.f64 x x) (+.f64 (.f64 -3/16 (*.f64 x x)) 1/4)))
	29.7b	(.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 1/2)))) (.f64 (.f64 x x) (+.f64 (.f64 -3/16 (*.f64 x x)) 1/4)))
✓	35.6b	(*.f64 (-.f64 1 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) (+.f64 1 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))))
	29.2b	(.f64 (cbrt.f64 1/512) (.f64 x x))
✓	29.0b	(.f64 1/8 (.f64 x x))
✓	14.5b	(cbrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 3))

Compiler

Compiled 301 to 262 computations (13% saved)

regimes316.0ms (0.9%)

Counts

35 → 3

Calls

Call 1

Inputs
(-.f64 1 1)
(.f64 1/8 (.f64 x x))
(-.f64 1 (sqrt.f64 1/2))
(.f64 (cbrt.f64 1/512) (.f64 x x))
(/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(-.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 1/2 x))))
(-.f64 1 (fma.f64 -1/8 (*.f64 x x) 1))
(-.f64 1 (if (!=.f64 (+.f64 1/2 (/.f64 1/2 x)) 0) (/.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 1/2)))) (.f64 (.f64 x x) (+.f64 (.f64 -3/16 (*.f64 x x)) 1/4)))
(.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (+.f64 1/2 (.f64 -1/4 (.f64 x x))))))) (.f64 (.f64 x x) (+.f64 (.f64 -3/16 (*.f64 x x)) 1/4)))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))
(fma.f64 1/8 (.f64 x x) (.f64 -11/128 (pow.f64 x 4)))
(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))
(.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (.f64 (.f64 x x) (+.f64 (.f64 -3/16 (*.f64 x x)) 1/4)))
(cbrt.f64 (+.f64 (.f64 -33/8192 (pow.f64 x 8)) (.f64 1/512 (pow.f64 x 6))))
(pow.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 1/3) 3)
(cbrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 3))
(pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) 3)
(pow.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1/3) 3)
(pow.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 3) 1/3)
(*.f64 (-.f64 1 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) (+.f64 1 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))))
(.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (fma.f64 1/4 (.f64 x x) (*.f64 -3/16 (pow.f64 x 4))))
(-.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) (/.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 2) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))))
(/.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 3)) (+.f64 1 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (-.f64 1 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 6))))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2)))
(*.f64 (/.f64 1 (fma.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 1)) (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 3)))
(*.f64 (-.f64 1 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (+.f64 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (-.f64 1 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))))
(-.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (/.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))))
(/.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 (/.f64 -1/2 x) 1/2)) 6)) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 (/.f64 -1/2 x) 1/2))) (+.f64 (+.f64 1 (pow.f64 (sqrt.f64 (+.f64 (/.f64 -1/2 x) 1/2)) 4)) (pow.f64 (sqrt.f64 (+.f64 (/.f64 -1/2 x) 1/2)) 2))))
(*.f64 (/.f64 1 (fma.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 1)) (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)))
(/.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 (/.f64 1/2 (hypot.f64 -1 x)) 1/2)) 6)) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 (/.f64 1/2 (hypot.f64 -1 x)) 1/2))) (+.f64 (+.f64 1 (pow.f64 (sqrt.f64 (+.f64 (/.f64 1/2 (hypot.f64 -1 x)) 1/2)) 4)) (pow.f64 (sqrt.f64 (+.f64 (/.f64 1/2 (hypot.f64 -1 x)) 1/2)) 2))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 (/.f64 1/2 (hypot.f64 -1 x)) 1/2)) 3) 3)) (*.f64 (fma.f64 (+.f64 1 (sqrt.f64 (+.f64 (/.f64 1/2 (hypot.f64 -1 x)) 1/2))) (sqrt.f64 (+.f64 (/.f64 1/2 (hypot.f64 -1 x)) 1/2)) 1) (+.f64 (+.f64 1 (pow.f64 (sqrt.f64 (+.f64 (/.f64 1/2 (hypot.f64 -1 x)) 1/2)) 6)) (pow.f64 (sqrt.f64 (+.f64 (/.f64 1/2 (hypot.f64 -1 x)) 1/2)) 3))))

Outputs

(*.f64 (/.f64 1 (fma.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 1)) (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 3)))

(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (+.f64 1/2 (*.f64 -1/4 (*.f64 x x))))))) (*.f64 (*.f64 x x) (+.f64 (*.f64 -3/16 (*.f64 x x)) 1/4)))

(/.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 (/.f64 1/2 (hypot.f64 -1 x)) 1/2)) 6)) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 (/.f64 1/2 (hypot.f64 -1 x)) 1/2))) (+.f64 (+.f64 1 (pow.f64 (sqrt.f64 (+.f64 (/.f64 1/2 (hypot.f64 -1 x)) 1/2)) 4)) (pow.f64 (sqrt.f64 (+.f64 (/.f64 1/2 (hypot.f64 -1 x)) 1/2)) 2))))

Calls

7 calls:

92.0ms	x
80.0ms	(/.f64 1 (hypot.f64 1 x))
58.0ms	(hypot.f64 1 x)
13.0ms	(sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x)))))
12.0ms	(+.f64 1 (/.f64 1 (hypot.f64 1 x)))

Results

Error	Segments	Branch
0.0b	3	`x`
0.0b	2	`(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))`
0.0b	2	`(sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x)))))`
0.0b	2	`(*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))`
0.0b	2	`(+.f64 1 (/.f64 1 (hypot.f64 1 x)))`
0.0b	2	`(/.f64 1 (hypot.f64 1 x))`
0.0b	2	`(hypot.f64 1 x)`

Compiler

Compiled 747 to 649 computations (13.1% saved)

bsearch71.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
34.0ms	4.0366340931906153e-10	0.9191653530820592
37.0ms	-1603394.4264440981	-3.2752492857314137e-6

Results

56.0ms

304×

body

256

valid

Compiler

Compiled 1300 to 1080 computations (16.9% saved)

regimes207.0ms (0.6%)

Counts

33 → 2

Calls

Call 1

Inputs
(-.f64 1 1)
(.f64 1/8 (.f64 x x))
(-.f64 1 (sqrt.f64 1/2))
(.f64 (cbrt.f64 1/512) (.f64 x x))
(/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(-.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 1/2 x))))
(-.f64 1 (fma.f64 -1/8 (*.f64 x x) 1))
(-.f64 1 (if (!=.f64 (+.f64 1/2 (/.f64 1/2 x)) 0) (/.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 1/2)))) (.f64 (.f64 x x) (+.f64 (.f64 -3/16 (*.f64 x x)) 1/4)))
(.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (+.f64 1/2 (.f64 -1/4 (.f64 x x))))))) (.f64 (.f64 x x) (+.f64 (.f64 -3/16 (*.f64 x x)) 1/4)))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))
(fma.f64 1/8 (.f64 x x) (.f64 -11/128 (pow.f64 x 4)))
(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))
(.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (.f64 (.f64 x x) (+.f64 (.f64 -3/16 (*.f64 x x)) 1/4)))
(cbrt.f64 (+.f64 (.f64 -33/8192 (pow.f64 x 8)) (.f64 1/512 (pow.f64 x 6))))
(pow.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 1/3) 3)
(cbrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 3))
(pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) 3)
(pow.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1/3) 3)
(pow.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 3) 1/3)
(*.f64 (-.f64 1 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) (+.f64 1 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))))
(.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (fma.f64 1/4 (.f64 x x) (*.f64 -3/16 (pow.f64 x 4))))
(-.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) (/.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 2) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))))
(/.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 3)) (+.f64 1 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (-.f64 1 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 6))))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2)))
(*.f64 (/.f64 1 (fma.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 1)) (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 3)))
(*.f64 (-.f64 1 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (+.f64 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (-.f64 1 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))))
(-.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (/.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))))
(/.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 (/.f64 -1/2 x) 1/2)) 6)) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 (/.f64 -1/2 x) 1/2))) (+.f64 (+.f64 1 (pow.f64 (sqrt.f64 (+.f64 (/.f64 -1/2 x) 1/2)) 4)) (pow.f64 (sqrt.f64 (+.f64 (/.f64 -1/2 x) 1/2)) 2))))
(*.f64 (/.f64 1 (fma.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 1)) (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)))

Outputs

(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (+.f64 1/2 (*.f64 -1/4 (*.f64 x x))))))) (*.f64 (*.f64 x x) (+.f64 (*.f64 -3/16 (*.f64 x x)) 1/4)))

(*.f64 (/.f64 1 (fma.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 1)) (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 3)))

Calls

7 calls:

78.0ms	x
41.0ms	(/.f64 1 (hypot.f64 1 x))
20.0ms	(hypot.f64 1 x)
11.0ms	(sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x)))))
11.0ms	(*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))

Results

Error	Segments	Branch
0.0b	3	`x`
0.0b	2	`(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))`
0.0b	2	`(sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x)))))`
0.0b	2	`(*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))`
0.0b	2	`(+.f64 1 (/.f64 1 (hypot.f64 1 x)))`
0.0b	2	`(/.f64 1 (hypot.f64 1 x))`
0.0b	2	`(hypot.f64 1 x)`

Compiler

Compiled 641 to 552 computations (13.9% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0000000000053637	1.3582580558592194

Compiler

Compiled 17 to 15 computations (11.8% saved)

regimes204.0ms (0.6%)

Counts

32 → 2

Calls

Call 1

Inputs
(-.f64 1 1)
(.f64 1/8 (.f64 x x))
(-.f64 1 (sqrt.f64 1/2))
(.f64 (cbrt.f64 1/512) (.f64 x x))
(/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(-.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 1/2 x))))
(-.f64 1 (fma.f64 -1/8 (*.f64 x x) 1))
(-.f64 1 (if (!=.f64 (+.f64 1/2 (/.f64 1/2 x)) 0) (/.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 1/2)))) (.f64 (.f64 x x) (+.f64 (.f64 -3/16 (*.f64 x x)) 1/4)))
(.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (+.f64 1/2 (.f64 -1/4 (.f64 x x))))))) (.f64 (.f64 x x) (+.f64 (.f64 -3/16 (*.f64 x x)) 1/4)))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))
(fma.f64 1/8 (.f64 x x) (.f64 -11/128 (pow.f64 x 4)))
(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))
(.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (.f64 (.f64 x x) (+.f64 (.f64 -3/16 (*.f64 x x)) 1/4)))
(cbrt.f64 (+.f64 (.f64 -33/8192 (pow.f64 x 8)) (.f64 1/512 (pow.f64 x 6))))
(pow.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 1/3) 3)
(cbrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 3))
(pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) 3)
(pow.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1/3) 3)
(pow.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 3) 1/3)
(*.f64 (-.f64 1 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) (+.f64 1 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))))
(.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (fma.f64 1/4 (.f64 x x) (*.f64 -3/16 (pow.f64 x 4))))
(-.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) (/.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 2) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))))
(/.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 3)) (+.f64 1 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (-.f64 1 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 6))))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2)))
(*.f64 (/.f64 1 (fma.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 1)) (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 3)))
(*.f64 (-.f64 1 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (+.f64 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (-.f64 1 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))))
(-.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (/.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))))
(/.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 (/.f64 -1/2 x) 1/2)) 6)) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 (/.f64 -1/2 x) 1/2))) (+.f64 (+.f64 1 (pow.f64 (sqrt.f64 (+.f64 (/.f64 -1/2 x) 1/2)) 4)) (pow.f64 (sqrt.f64 (+.f64 (/.f64 -1/2 x) 1/2)) 2))))

Outputs

(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (+.f64 1/2 (*.f64 -1/4 (*.f64 x x))))))) (*.f64 (*.f64 x x) (+.f64 (*.f64 -3/16 (*.f64 x x)) 1/4)))

(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (-.f64 1 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 6))))

Calls

7 calls:

74.0ms	x
41.0ms	(/.f64 1 (hypot.f64 1 x))
20.0ms	(hypot.f64 1 x)
12.0ms	(+.f64 1 (/.f64 1 (hypot.f64 1 x)))
10.0ms	(sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x)))))

Results

Error	Segments	Branch
0.0b	3	`x`
0.0b	2	`(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))`
0.0b	2	`(sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x)))))`
0.0b	2	`(*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))`
0.0b	2	`(+.f64 1 (/.f64 1 (hypot.f64 1 x)))`
0.0b	2	`(/.f64 1 (hypot.f64 1 x))`
0.0b	2	`(hypot.f64 1 x)`

Compiler

Compiled 606 to 520 computations (14.2% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0000000000053637	1.3582580558592194

Compiler

Compiled 17 to 15 computations (11.8% saved)

regimes191.0ms (0.6%)

Counts

29 → 3

Calls

Call 1

Inputs
(-.f64 1 1)
(.f64 1/8 (.f64 x x))
(-.f64 1 (sqrt.f64 1/2))
(.f64 (cbrt.f64 1/512) (.f64 x x))
(/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(-.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 1/2 x))))
(-.f64 1 (fma.f64 -1/8 (*.f64 x x) 1))
(-.f64 1 (if (!=.f64 (+.f64 1/2 (/.f64 1/2 x)) 0) (/.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 1/2)))) (.f64 (.f64 x x) (+.f64 (.f64 -3/16 (*.f64 x x)) 1/4)))
(.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (+.f64 1/2 (.f64 -1/4 (.f64 x x))))))) (.f64 (.f64 x x) (+.f64 (.f64 -3/16 (*.f64 x x)) 1/4)))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))
(fma.f64 1/8 (.f64 x x) (.f64 -11/128 (pow.f64 x 4)))
(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))
(.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (.f64 (.f64 x x) (+.f64 (.f64 -3/16 (*.f64 x x)) 1/4)))
(cbrt.f64 (+.f64 (.f64 -33/8192 (pow.f64 x 8)) (.f64 1/512 (pow.f64 x 6))))
(pow.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 1/3) 3)
(cbrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 3))
(pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) 3)
(pow.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1/3) 3)
(pow.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 3) 1/3)
(*.f64 (-.f64 1 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) (+.f64 1 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))))
(.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (fma.f64 1/4 (.f64 x x) (*.f64 -3/16 (pow.f64 x 4))))
(-.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) (/.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 2) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))))
(/.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 3)) (+.f64 1 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (-.f64 1 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 6))))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2)))
(*.f64 (/.f64 1 (fma.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 1)) (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 3)))
(*.f64 (-.f64 1 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (+.f64 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1))

Outputs

(*.f64 (/.f64 1 (fma.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 1)) (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 3)))

(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (+.f64 1/2 (*.f64 -1/4 (*.f64 x x))))))) (*.f64 (*.f64 x x) (+.f64 (*.f64 -3/16 (*.f64 x x)) 1/4)))

(pow.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1/3) 3)

Calls

7 calls:

72.0ms	x
42.0ms	(/.f64 1 (hypot.f64 1 x))
17.0ms	(hypot.f64 1 x)
11.0ms	(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))
10.0ms	(sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x)))))

Results

Error	Segments	Branch
0.3b	3	`x`
0.5b	2	`(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))`
0.5b	2	`(sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x)))))`
0.5b	2	`(*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))`
0.5b	2	`(+.f64 1 (/.f64 1 (hypot.f64 1 x)))`
0.5b	2	`(/.f64 1 (hypot.f64 1 x))`
0.5b	2	`(hypot.f64 1 x)`

Compiler

Compiled 507 to 430 computations (15.2% saved)

bsearch89.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
53.0ms	4.0366340931906153e-10	0.9191653530820592
36.0ms	-1603394.4264440981	-3.2752492857314137e-6

Results

66.0ms

304×

body

256

valid

Compiler

Compiled 1003 to 810 computations (19.2% saved)

regimes99.0ms (0.3%)

Counts

27 → 3

Calls

Call 1

Inputs
(-.f64 1 1)
(.f64 1/8 (.f64 x x))
(-.f64 1 (sqrt.f64 1/2))
(.f64 (cbrt.f64 1/512) (.f64 x x))
(/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(-.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 1/2 x))))
(-.f64 1 (fma.f64 -1/8 (*.f64 x x) 1))
(-.f64 1 (if (!=.f64 (+.f64 1/2 (/.f64 1/2 x)) 0) (/.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 1/2)))) (.f64 (.f64 x x) (+.f64 (.f64 -3/16 (*.f64 x x)) 1/4)))
(.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (+.f64 1/2 (.f64 -1/4 (.f64 x x))))))) (.f64 (.f64 x x) (+.f64 (.f64 -3/16 (*.f64 x x)) 1/4)))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))
(fma.f64 1/8 (.f64 x x) (.f64 -11/128 (pow.f64 x 4)))
(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))
(.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (.f64 (.f64 x x) (+.f64 (.f64 -3/16 (*.f64 x x)) 1/4)))
(cbrt.f64 (+.f64 (.f64 -33/8192 (pow.f64 x 8)) (.f64 1/512 (pow.f64 x 6))))
(pow.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 1/3) 3)
(cbrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 3))
(pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) 3)
(pow.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1/3) 3)
(pow.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 3) 1/3)
(*.f64 (-.f64 1 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) (+.f64 1 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))))
(.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (fma.f64 1/4 (.f64 x x) (*.f64 -3/16 (pow.f64 x 4))))
(-.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) (/.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 2) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))))
(/.f64 (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 3)) (+.f64 1 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (-.f64 1 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 6))))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))) 2)))

Outputs

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

(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (+.f64 1/2 (*.f64 -1/4 (*.f64 x x))))))) (*.f64 (*.f64 x x) (+.f64 (*.f64 -3/16 (*.f64 x x)) 1/4)))

(pow.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1/3) 3)

Calls

7 calls:

34.0ms	x
22.0ms	(/.f64 1 (hypot.f64 1 x))
10.0ms	(hypot.f64 1 x)
6.0ms	(sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x)))))
5.0ms	(+.f64 1 (/.f64 1 (hypot.f64 1 x)))

Results

Error	Segments	Branch
0.5b	3	`x`
0.5b	2	`(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))`
0.5b	2	`(sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x)))))`
0.5b	2	`(*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))`
0.5b	2	`(+.f64 1 (/.f64 1 (hypot.f64 1 x)))`
0.5b	2	`(/.f64 1 (hypot.f64 1 x))`
0.5b	2	`(hypot.f64 1 x)`

Compiler

Compiled 455 to 383 computations (15.8% saved)

bsearch61.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
37.0ms	4.0366340931906153e-10	0.9191653530820592
24.0ms	-1603394.4264440981	-3.2752492857314137e-6

Results

38.0ms

304×

body

256

valid

Compiler

Compiled 993 to 800 computations (19.4% saved)

regimes98.0ms (0.3%)

Counts

24 → 2

Calls

Call 1

Inputs
(-.f64 1 1)
(.f64 1/8 (.f64 x x))
(-.f64 1 (sqrt.f64 1/2))
(.f64 (cbrt.f64 1/512) (.f64 x x))
(/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(-.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 1/2 x))))
(-.f64 1 (fma.f64 -1/8 (*.f64 x x) 1))
(-.f64 1 (if (!=.f64 (+.f64 1/2 (/.f64 1/2 x)) 0) (/.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 1/2)))) (.f64 (.f64 x x) (+.f64 (.f64 -3/16 (*.f64 x x)) 1/4)))
(.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (+.f64 1/2 (.f64 -1/4 (.f64 x x))))))) (.f64 (.f64 x x) (+.f64 (.f64 -3/16 (*.f64 x x)) 1/4)))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))
(fma.f64 1/8 (.f64 x x) (.f64 -11/128 (pow.f64 x 4)))
(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))
(.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (.f64 (.f64 x x) (+.f64 (.f64 -3/16 (*.f64 x x)) 1/4)))
(cbrt.f64 (+.f64 (.f64 -33/8192 (pow.f64 x 8)) (.f64 1/512 (pow.f64 x 6))))
(pow.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 1/3) 3)
(cbrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 3))
(pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) 3)
(pow.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1/3) 3)
(pow.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 3) 1/3)
(*.f64 (-.f64 1 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) (+.f64 1 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))))
(.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (fma.f64 1/4 (.f64 x x) (*.f64 -3/16 (pow.f64 x 4))))
(-.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) (/.f64 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 2) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))))

Outputs

(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (+.f64 1/2 (*.f64 -1/4 (*.f64 x x))))))) (*.f64 (*.f64 x x) (+.f64 (*.f64 -3/16 (*.f64 x x)) 1/4)))

(pow.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 1/3) 3)

Calls

7 calls:

33.0ms	x
19.0ms	(/.f64 1 (hypot.f64 1 x))
9.0ms	(hypot.f64 1 x)
6.0ms	(sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x)))))
5.0ms	(*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))

Results

Error	Segments	Branch
0.5b	3	`x`
0.5b	2	`(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))`
0.5b	2	`(sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x)))))`
0.5b	2	`(*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))`
0.5b	2	`(+.f64 1 (/.f64 1 (hypot.f64 1 x)))`
0.5b	2	`(/.f64 1 (hypot.f64 1 x))`
0.5b	2	`(hypot.f64 1 x)`

Compiler

Compiled 378 to 313 computations (17.2% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0000000000053637	1.3582580558592194

Compiler

Compiled 17 to 15 computations (11.8% saved)

regimes78.0ms (0.2%)

Counts

19 → 3

Calls

Call 1

Inputs
(-.f64 1 1)
(.f64 1/8 (.f64 x x))
(-.f64 1 (sqrt.f64 1/2))
(.f64 (cbrt.f64 1/512) (.f64 x x))
(/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(-.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 1/2 x))))
(-.f64 1 (fma.f64 -1/8 (*.f64 x x) 1))
(-.f64 1 (if (!=.f64 (+.f64 1/2 (/.f64 1/2 x)) 0) (/.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 1/2)))) (.f64 (.f64 x x) (+.f64 (.f64 -3/16 (*.f64 x x)) 1/4)))
(.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (+.f64 1/2 (.f64 -1/4 (.f64 x x))))))) (.f64 (.f64 x x) (+.f64 (.f64 -3/16 (*.f64 x x)) 1/4)))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))
(fma.f64 1/8 (.f64 x x) (.f64 -11/128 (pow.f64 x 4)))
(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))
(.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (.f64 (.f64 x x) (+.f64 (.f64 -3/16 (*.f64 x x)) 1/4)))
(cbrt.f64 (+.f64 (.f64 -33/8192 (pow.f64 x 8)) (.f64 1/512 (pow.f64 x 6))))
(pow.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 1/3) 3)
(cbrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x))))) 3))
(pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) 3)

Outputs

(pow.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 1/3) 3)

(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (+.f64 1/2 (*.f64 -1/4 (*.f64 x x))))))) (*.f64 (*.f64 x x) (+.f64 (*.f64 -3/16 (*.f64 x x)) 1/4)))

(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))

Calls

7 calls:

32.0ms	x
15.0ms	(/.f64 1 (hypot.f64 1 x))
7.0ms	(hypot.f64 1 x)
5.0ms	(*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))
5.0ms	(+.f64 1 (/.f64 1 (hypot.f64 1 x)))

Results

Error	Segments	Branch
0.5b	3	`x`
0.5b	2	`(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))`
0.5b	2	`(sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x)))))`
0.5b	2	`(*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))`
0.5b	2	`(+.f64 1 (/.f64 1 (hypot.f64 1 x)))`
0.5b	2	`(/.f64 1 (hypot.f64 1 x))`
0.5b	2	`(hypot.f64 1 x)`

Compiler

Compiled 280 to 227 computations (18.9% saved)

bsearch48.0ms (0.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
26.0ms	4.0366340931906153e-10	0.9191653530820592
22.0ms	-1603394.4264440981	-3.2752492857314137e-6

Results

42.0ms

304×

body

256

valid

Compiler

Compiled 797 to 624 computations (21.7% saved)

regimes95.0ms (0.3%)

Counts

16 → 2

Calls

Call 1

Inputs
(-.f64 1 1)
(.f64 1/8 (.f64 x x))
(-.f64 1 (sqrt.f64 1/2))
(.f64 (cbrt.f64 1/512) (.f64 x x))
(/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(-.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 1/2 x))))
(-.f64 1 (fma.f64 -1/8 (*.f64 x x) 1))
(-.f64 1 (if (!=.f64 (+.f64 1/2 (/.f64 1/2 x)) 0) (/.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 1/2)))) (.f64 (.f64 x x) (+.f64 (.f64 -3/16 (*.f64 x x)) 1/4)))
(.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (+.f64 1/2 (.f64 -1/4 (.f64 x x))))))) (.f64 (.f64 x x) (+.f64 (.f64 -3/16 (*.f64 x x)) 1/4)))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))
(fma.f64 1/8 (.f64 x x) (.f64 -11/128 (pow.f64 x 4)))
(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))
(.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))) (.f64 (.f64 x x) (+.f64 (.f64 -3/16 (*.f64 x x)) 1/4)))
(cbrt.f64 (+.f64 (.f64 -33/8192 (pow.f64 x 8)) (.f64 1/512 (pow.f64 x 6))))

Outputs

(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (+.f64 1/2 (*.f64 -1/4 (*.f64 x x))))))) (*.f64 (*.f64 x x) (+.f64 (*.f64 -3/16 (*.f64 x x)) 1/4)))

(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 -1 x)))))

Calls

7 calls:

48.0ms	x
17.0ms	(/.f64 1 (hypot.f64 1 x))
7.0ms	(hypot.f64 1 x)
4.0ms	(sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x)))))
4.0ms	(*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))

Results

Error	Segments	Branch
0.5b	3	`x`
0.5b	2	`(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))`
0.5b	2	`(sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x)))))`
0.5b	2	`(*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))`
0.5b	2	`(+.f64 1 (/.f64 1 (hypot.f64 1 x)))`
0.5b	2	`(/.f64 1 (hypot.f64 1 x))`
0.5b	2	`(hypot.f64 1 x)`

Compiler

Compiled 242 to 192 computations (20.7% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0000000000053637	1.3582580558592194

Compiler

Compiled 17 to 15 computations (11.8% saved)

regimes25.0ms (0.1%)

Counts

11 → 3

Calls

Call 1

Inputs
(-.f64 1 1)
(.f64 1/8 (.f64 x x))
(-.f64 1 (sqrt.f64 1/2))
(.f64 (cbrt.f64 1/512) (.f64 x x))
(/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(-.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 1/2 x))))
(-.f64 1 (fma.f64 -1/8 (*.f64 x x) 1))
(-.f64 1 (if (!=.f64 (+.f64 1/2 (/.f64 1/2 x)) 0) (/.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 1/2)))) (.f64 (.f64 x x) (+.f64 (.f64 -3/16 (*.f64 x x)) 1/4)))
(.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (+.f64 1/2 (.f64 -1/4 (.f64 x x))))))) (.f64 (.f64 x x) (+.f64 (.f64 -3/16 (*.f64 x x)) 1/4)))

Outputs

(-.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 1/2 x))))

(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (+.f64 1/2 (*.f64 -1/4 (*.f64 x x))))))) (*.f64 (*.f64 x x) (+.f64 (*.f64 -3/16 (*.f64 x x)) 1/4)))

(/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))

Calls

1 calls:

21.0ms

Results

Error	Segments	Branch
1.2b	3	`x`

Compiler

Compiled 122 to 93 computations (23.8% saved)

bsearch34.0ms (0.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
8.0ms	0.9191653530820592	1.8057189900499178
25.0ms	-1603394.4264440981	-3.2752492857314137e-6

Results

29.0ms

224×

body

256

valid

Compiler

Compiled 541 to 417 computations (22.9% saved)

regimes26.0ms (0.1%)

Counts

10 → 3

Calls

Call 1

Inputs
(-.f64 1 1)
(.f64 1/8 (.f64 x x))
(-.f64 1 (sqrt.f64 1/2))
(.f64 (cbrt.f64 1/512) (.f64 x x))
(/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(-.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 1/2 x))))
(-.f64 1 (fma.f64 -1/8 (*.f64 x x) 1))
(-.f64 1 (if (!=.f64 (+.f64 1/2 (/.f64 1/2 x)) 0) (/.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 1/2)))) (.f64 (.f64 x x) (+.f64 (.f64 -3/16 (*.f64 x x)) 1/4)))

Outputs
(-.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 1/2 x))))
(.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 1/2)))) (.f64 (.f64 x x) (+.f64 (.f64 -3/16 (*.f64 x x)) 1/4)))
(/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))

Calls

1 calls:

23.0ms

Results

Error	Segments	Branch
1.2b	3	`x`

Compiler

Compiled 96 to 76 computations (20.8% saved)

bsearch47.0ms (0.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
8.0ms	0.9191653530820592	1.8057189900499178
39.0ms	-1603394.4264440981	-3.2752492857314137e-6

Results

43.0ms

224×

body

256

valid

Compiler

Compiled 457 to 375 computations (17.9% saved)

regimes22.0ms (0.1%)

Counts

9 → 3

Calls

Call 1

Inputs
(-.f64 1 1)
(.f64 1/8 (.f64 x x))
(-.f64 1 (sqrt.f64 1/2))
(.f64 (cbrt.f64 1/512) (.f64 x x))
(/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(-.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 1/2 x))))
(-.f64 1 (fma.f64 -1/8 (*.f64 x x) 1))
(-.f64 1 (if (!=.f64 (+.f64 1/2 (/.f64 1/2 x)) 0) (/.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))

Outputs
(-.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 1/2 x))))
(.f64 1/8 (.f64 x x))
(/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))

Calls

1 calls:

20.0ms

Results

Error	Segments	Branch
1.3b	3	`x`

Compiler

Compiled 76 to 62 computations (18.4% saved)

bsearch31.0ms (0.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
8.0ms	0.9191653530820592	1.8057189900499178
23.0ms	-1603394.4264440981	-3.2752492857314137e-6

Results

28.0ms

224×

body

256

valid

Compiler

Compiled 247 to 207 computations (16.2% saved)

regimes19.0ms (0.1%)

Counts

6 → 3

Calls

Call 1

Inputs
(-.f64 1 1)
(.f64 1/8 (.f64 x x))
(-.f64 1 (sqrt.f64 1/2))
(.f64 (cbrt.f64 1/512) (.f64 x x))
(/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))

Outputs
(/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))
(.f64 1/8 (.f64 x x))
(/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))

Calls

1 calls:

18.0ms

Results

Error	Segments	Branch
1.4b	3	`x`

Compiler

Compiled 35 to 28 computations (20% saved)

bsearch35.0ms (0.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
8.0ms	0.9191653530820592	1.8057189900499178
27.0ms	-1603394.4264440981	-3.2752492857314137e-6

Results

32.0ms

224×

body

256

valid

Compiler

Compiled 227 to 197 computations (13.2% saved)

regimes15.0ms (0%)

Counts

4 → 3

Calls

Call 1

Inputs
(-.f64 1 1)
(.f64 1/8 (.f64 x x))
(-.f64 1 (sqrt.f64 1/2))
(.f64 (cbrt.f64 1/512) (.f64 x x))

Outputs
(-.f64 1 (sqrt.f64 1/2))
(.f64 1/8 (.f64 x x))
(-.f64 1 (sqrt.f64 1/2))

Calls

1 calls:

14.0ms

Results

Error	Segments	Branch
1.8b	3	`x`

Compiler

Compiled 21 to 15 computations (28.6% saved)

bsearch31.0ms (0.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
9.0ms	0.9191653530820592	1.8057189900499178
22.0ms	-1603394.4264440981	-3.2752492857314137e-6

Results

27.0ms

224×

body

256

valid

Compiler

Compiled 199 to 169 computations (15.1% saved)

regimes4.0ms (0%)

Accuracy

Total -14.3b remaining (-49.2%)

Threshold costs -14.3b (-49.2%)

Counts

2 → 1

Calls

Call 1

Inputs
(-.f64 1 1)
(.f64 1/8 (.f64 x x))

Outputs
(.f64 1/8 (.f64 x x))

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
29.0b	1	`x`

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify17.0ms (0%)

Stop Event

1×

fuel

Compiler

Compiled 718 to 584 computations (18.7% saved)

soundness0.0ms (0%)

Compiler: Compiled 3 to 3 computations (0% saved)

end412.0ms (1.2%)

Compiler: Compiled 704 to 557 computations (20.9% saved)