Details

analyze4.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
0%	0%	50%	0%	0%	50%	0%	3
33.3%	12.5%	25%	0%	0%	62.5%	0%	4
60%	18.7%	12.5%	0%	0%	68.7%	0%	5
77.8%	21.9%	6.2%	0%	0%	71.8%	0%	6
88.2%	23.4%	3.1%	0%	0%	73.4%	0%	7
93.9%	24.2%	1.6%	0%	0%	74.2%	0%	8
96.9%	24.6%	0.8%	0%	0%	74.6%	0%	9
98.4%	24.8%	0.4%	0%	0%	74.8%	0%	10
99.2%	24.9%	0.2%	0%	0%	74.9%	0%	11
99.6%	24.9%	0.1%	0%	0%	74.9%	0%	12

Compiler

Compiled 15 to 11 computations (26.7% saved)

sample1.1s (2.5%)

Results

1.1s	8256×	body	256	valid
3.0ms	27×	body	256	invalid

Bogosity

preprocess3.8s (8.8%)

Algorithm

2×

egglog

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

Outputs
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(log.f64 (/.f64 (+.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 1) x))

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify1.6s (3.6%)

Algorithm

1×

egglog

Counts

1 → 2

Calls

Call 1

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

Outputs
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(log.f64 (/.f64 (+.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 1) x))

eval1.0ms (0%)

Compiler: Compiled 25 to 18 computations (28% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0b	(log.f64 (/.f64 (+.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 1) x))
▶	0.0b	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))

Compiler

Compiled 26 to 19 computations (26.9% saved)

localize20.0ms (0%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 53 to 29 computations (45.3% saved)

series23.0ms (0.1%)

Counts

2 → 8

Calls

6 calls:

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

Compiler

Compiled 2150 to 1910 computations (11.2% saved)

rewrite1.8s (4.2%)

Algorithm

1×	batch-egg-rewrite

Rules

111×	`egg-rr`
31×	`egg-rr`

Counts

2 → 142

Calls

Call 1

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

Outputs
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Outputs

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

simplify4.6s (10.6%)

Algorithm

1×

egglog

Counts

150 → 194

Calls

Call 1

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

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

localize24.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 48 to 33 computations (31.3% saved)

series30.0ms (0.1%)

Counts

3 → 12

Calls

9 calls:

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

Compiler

Compiled 2970 to 2630 computations (11.4% saved)

rewrite1.7s (4%)

Algorithm

1×	batch-egg-rewrite

Rules

134×	`egg-rr`
129×	`egg-rr`
38×	`egg-rr`

Counts

3 → 301

Calls

Call 1

Inputs
(+.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 1)
(/.f64 (+.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 1) x)
(sqrt.f64 (neg.f64 (fma.f64 x x -1)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (-.f64 -1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))) (sqrt.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (+.f64 1 (.f64 (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) -1)) (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 2/3)) (+.f64 1 (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 1 (-.f64 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 2/3) (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))) (+.f64 1 (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 2/3) (-.f64 1 (cbrt.f64 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(fabs.f64 (exp.f64 (.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) 2/3))) (cbrt.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fabs.f64 (+.f64 (+.f64 1 (.f64 (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) -1)) (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 2/3))) (fabs.f64 (+.f64 1 (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))) (fabs.f64 (exp.f64 (.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fabs.f64 (/.f64 1 (-.f64 (+.f64 1 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 2)) (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))) (fabs.f64 (+.f64 1 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fabs.f64 (-.f64 -1 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 3))) (fabs.f64 (/.f64 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(neg.f64 (fma.f64 x x -1))) 2)) (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 0 (+.f64 (exp.f64 (.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) 2/3)) (.f64 0 (cbrt.f64 (-.f64 -1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))))) (cbrt.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (exp.f64 (.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) 2/3)) (+.f64 0 (.f64 (cbrt.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))) 0))) (-.f64 (cbrt.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 0 (-.f64 (exp.f64 (.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) 2/3)) 0)) (+.f64 0 (cbrt.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (exp.f64 (.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) 3/4)) (sqrt.f64 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Outputs

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

simplify5.9s (13.5%)

Algorithm

1×

egglog

Counts

313 → 389

Calls

Call 1

Inputs
2
(+.f64 2 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 2 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1/8 (pow.f64 x 4))))
(+.f64 2 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/16 (pow.f64 x 6)) (*.f64 -1/8 (pow.f64 x 4)))))
(/.f64 2 x)
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 -1/2 x) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 -1/16 (pow.f64 x 5)))))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1/8 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/16 (pow.f64 x 6)) (*.f64 -1/8 (pow.f64 x 4)))))
(fabs.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))))
(fabs.f64 (-.f64 -1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))
(*.f64 (sqrt.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))) (sqrt.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))))
(.f64 (+.f64 (+.f64 1 (.f64 (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) -1)) (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 2/3)) (+.f64 1 (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))))
(*.f64 (+.f64 1 (-.f64 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 2/3) (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))) (+.f64 1 (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))))
(*.f64 (+.f64 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 2/3) (-.f64 1 (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))) (+.f64 1 (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))))
(.f64 (.f64 (neg.f64 (sqrt.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))))) -1) (*.f64 (neg.f64 (sqrt.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))))) -1))
(.f64 (cbrt.f64 (-.f64 -1 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) (neg.f64 (exp.f64 (.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) 2/3))))
(*.f64 -1 (-.f64 -1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))
(*.f64 (-.f64 -1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) -1)
(*.f64 1 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))))
(*.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) 1)
(.f64 (fabs.f64 (exp.f64 (.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) 2/3))) (cbrt.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))))
(.f64 (fabs.f64 (+.f64 (+.f64 1 (.f64 (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) -1)) (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 2/3))) (fabs.f64 (+.f64 1 (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))))
(.f64 (cbrt.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))) (fabs.f64 (exp.f64 (.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) 2/3))))
(*.f64 (fabs.f64 (/.f64 1 (-.f64 (+.f64 1 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 2)) (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))) (fabs.f64 (+.f64 1 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 3))))
(*.f64 (fabs.f64 (-.f64 -1 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 3))) (fabs.f64 (/.f64 -1 (-.f64 (+.f64 1 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 2)) (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))))
(*.f64 (fabs.f64 (+.f64 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 2/3) (-.f64 1 (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))))) (fabs.f64 (+.f64 1 (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))))
(.f64 (cbrt.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))) (fabs.f64 (neg.f64 (exp.f64 (.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) 2/3)))))
(*.f64 (fabs.f64 (+.f64 1 (-.f64 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 2/3) (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))))) (fabs.f64 (+.f64 1 (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))))
(*.f64 (fabs.f64 (+.f64 1 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 3))) (fabs.f64 (/.f64 1 (-.f64 (+.f64 1 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 2)) (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))))
(.f64 (+.f64 0 (+.f64 (exp.f64 (.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) 2/3)) (*.f64 0 (cbrt.f64 (-.f64 -1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))))) (cbrt.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))))
(.f64 (+.f64 (exp.f64 (.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) 2/3)) (+.f64 0 (*.f64 (cbrt.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))) 0))) (-.f64 (cbrt.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))) 0))
(.f64 (+.f64 0 (-.f64 (exp.f64 (.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) 2/3)) 0)) (+.f64 0 (cbrt.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))))))
(.f64 (exp.f64 (.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) 3/4)) (sqrt.f64 (sqrt.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))))))
(.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))))) (exp.f64 (.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) 3/4)))
(*.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) (pow.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) 0))
(.f64 (exp.f64 (.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) 2/3)) (cbrt.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))))
(*.f64 (neg.f64 (sqrt.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))))) (neg.f64 (sqrt.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))))))
(*.f64 (+.f64 1 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 3)) (/.f64 1 (-.f64 (+.f64 1 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 2)) (sqrt.f64 (neg.f64 (fma.f64 x x -1))))))
(.f64 (cbrt.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))) (exp.f64 (.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) 2/3)))
(*.f64 (/.f64 1 (-.f64 (+.f64 1 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 2)) (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) (+.f64 1 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 3)))
(*.f64 (-.f64 -1 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 3)) (/.f64 -1 (-.f64 (+.f64 1 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 2)) (sqrt.f64 (neg.f64 (fma.f64 x x -1))))))
(-.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) -1)
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) 0)
(-.f64 0 (-.f64 -1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))
(-.f64 1 (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))
(-.f64 (-.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 0) -1)
(/.f64 (.f64 (cbrt.f64 (+.f64 1 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 3))) (exp.f64 (.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) 2/3))) (cbrt.f64 (-.f64 (+.f64 1 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 2)) (sqrt.f64 (neg.f64 (fma.f64 x x -1))))))
(/.f64 (.f64 (exp.f64 (.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) 2/3)) (cbrt.f64 (+.f64 1 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 3)))) (cbrt.f64 (-.f64 (+.f64 1 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 2)) (sqrt.f64 (neg.f64 (fma.f64 x x -1))))))
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 3) 3)) (*.f64 (-.f64 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 6) (+.f64 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 3) -1)) (-.f64 (+.f64 1 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 2)) (sqrt.f64 (neg.f64 (fma.f64 x x -1))))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 3)) (cbrt.f64 (-.f64 (+.f64 1 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 2)) (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))) (cbrt.f64 (pow.f64 (-.f64 (+.f64 1 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 2)) (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) 2)))
(/.f64 (sqrt.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))) (sqrt.f64 (exp.f64 (neg.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))))))
(/.f64 (-.f64 (+.f64 1 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 2)) (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) (/.f64 (-.f64 (+.f64 1 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 2)) (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))))
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 3) 3)) (*.f64 (-.f64 (+.f64 1 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 2)) (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) (-.f64 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 6) (+.f64 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 3) -1))))
(/.f64 (-.f64 -1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) -1)
(/.f64 1 (exp.f64 (neg.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))))
(/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) 1)
(/.f64 (fabs.f64 (-.f64 (+.f64 1 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 2)) (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) (fabs.f64 (/.f64 (-.f64 (+.f64 1 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 2)) (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))))))
(/.f64 1 (fabs.f64 (exp.f64 (neg.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))))))
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(if (!=.f64 (+.f64 0 (+.f64 (pow.f64 (/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) x) 2) (.f64 0 (/.f64 (-.f64 -1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) x)))) 0) (/.f64 (pow.f64 (/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) x) 3) (+.f64 0 (+.f64 (pow.f64 (/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) x) 2) (.f64 0 (/.f64 (-.f64 -1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) x))))) (/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) x))
(if (!=.f64 (.f64 (pow.f64 x -1) (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) 0) (/.f64 (+.f64 (pow.f64 (pow.f64 x 3) -1) (pow.f64 (.f64 (pow.f64 x -1) (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) 3)) (+.f64 (pow.f64 (pow.f64 x -1) 2) (-.f64 (.f64 (.f64 (pow.f64 x -1) (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) (.f64 (pow.f64 x -1) (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) (.f64 (pow.f64 x -1) (*.f64 (pow.f64 x -1) (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))))) (/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) x))
(if (!=.f64 (.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) (pow.f64 x -1)) 0) (/.f64 (+.f64 (pow.f64 (pow.f64 x 3) -1) (pow.f64 (.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) (pow.f64 x -1)) 3)) (+.f64 (pow.f64 (pow.f64 x -1) 2) (-.f64 (.f64 (.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) (pow.f64 x -1)) (.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) (pow.f64 x -1))) (.f64 (pow.f64 x -1) (*.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) (pow.f64 x -1)))))) (/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) x))
(if (!=.f64 (pow.f64 x -1) 0) (/.f64 (+.f64 (pow.f64 (.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) (pow.f64 x -1)) 3) (pow.f64 (pow.f64 x 3) -1)) (+.f64 (.f64 (.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) (pow.f64 x -1)) (.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) (pow.f64 x -1))) (-.f64 (pow.f64 (pow.f64 x -1) 2) (.f64 (.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) (pow.f64 x -1)) (pow.f64 x -1))))) (/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) x))
(if (!=.f64 (pow.f64 x -1) 0) (/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 x -1) (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) 3) (pow.f64 (pow.f64 x 3) -1)) (+.f64 (.f64 (.f64 (pow.f64 x -1) (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) (.f64 (pow.f64 x -1) (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) (-.f64 (pow.f64 (pow.f64 x -1) 2) (.f64 (.f64 (pow.f64 x -1) (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) (pow.f64 x -1))))) (/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) x))
(if (!=.f64 (/.f64 0 (neg.f64 x)) 0) (/.f64 (-.f64 (pow.f64 (/.f64 0 (neg.f64 x)) 3) (pow.f64 (/.f64 (-.f64 -1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) x) 3)) (+.f64 (.f64 (/.f64 0 (neg.f64 x)) (/.f64 0 (neg.f64 x))) (+.f64 (pow.f64 (/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) x) 2) (.f64 (/.f64 0 (neg.f64 x)) (/.f64 (-.f64 -1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) x))))) (/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) x))
(if (!=.f64 0 0) (/.f64 (pow.f64 (/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) x) 3) (+.f64 0 (+.f64 (pow.f64 (/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) x) 2) (*.f64 0 (/.f64 (-.f64 -1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) x))))) (/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) x))
(+.f64 (pow.f64 x -1) (*.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) (pow.f64 x -1)))
(+.f64 (*.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) (pow.f64 x -1)) (pow.f64 x -1))
(+.f64 (pow.f64 x -1) (*.f64 (pow.f64 x -1) (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))
(+.f64 (*.f64 (pow.f64 x -1) (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) (pow.f64 x -1))
(+.f64 (/.f64 0 (neg.f64 x)) (/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) x))
(+.f64 0 (/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) x))
(fabs.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))
(fabs.f64 (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))
(*.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))
(.f64 (.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) -1) (*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) -1))
(*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) (neg.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))))
(*.f64 (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 2/3))
(*.f64 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 2/3) (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))
(*.f64 -1 (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))
(*.f64 (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) -1)
(*.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))
(*.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 1)
(*.f64 (fabs.f64 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 2/3)) (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))
(*.f64 (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) (fabs.f64 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 2/3)))
(-.f64 0 (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))
(/.f64 (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) -1)
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 1)
(sqrt.f64 (neg.f64 (fma.f64 x x -1)))
(sqrt.f64 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 2))
(pow.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) 2)
(pow.f64 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 3) 1/3)
(pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) 3)
(pow.f64 (neg.f64 (fma.f64 x x -1)) 1/2)
(pow.f64 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 2) 1/2)
(pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 1)
(pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) 4)
(pow.f64 (*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) -1) 2)
(cbrt.f64 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 3))
(neg.f64 (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))
(neg.f64 (pow.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) 3))
(if (!=.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) 0) (/.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) (neg.f64 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) -1/2))) (sqrt.f64 (neg.f64 (fma.f64 x x -1))))
(if (!=.f64 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 2/3) 0) (/.f64 (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) (cbrt.f64 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) -2))) (sqrt.f64 (neg.f64 (fma.f64 x x -1))))
(if (!=.f64 (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) 0) (/.f64 -1 (/.f64 -1 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) (sqrt.f64 (neg.f64 (fma.f64 x x -1))))
(if (!=.f64 -1 0) (sqrt.f64 (neg.f64 (fma.f64 x x -1))) (sqrt.f64 (neg.f64 (fma.f64 x x -1))))
(if (!=.f64 1 0) (sqrt.f64 (neg.f64 (fma.f64 x x -1))) (sqrt.f64 (neg.f64 (fma.f64 x x -1))))
(if (!=.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 0) (pow.f64 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) -1) -1) (sqrt.f64 (neg.f64 (fma.f64 x x -1))))
(if (!=.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) 0) (/.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) -1/2)) (sqrt.f64 (neg.f64 (fma.f64 x x -1))))
(if (!=.f64 (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) 0) (/.f64 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 2/3) (cbrt.f64 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) -1))) (sqrt.f64 (neg.f64 (fma.f64 x x -1))))

Outputs
2
(+.f64 2 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 2 (*.f64 (pow.f64 x 2) -1/2))
(+.f64 2 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1/8 (pow.f64 x 4))))
(+.f64 2 (fma.f64 -1/2 (pow.f64 x 2) (*.f64 -1/8 (pow.f64 x 4))))
(+.f64 2 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/16 (pow.f64 x 6)) (*.f64 -1/8 (pow.f64 x 4)))))
(+.f64 2 (fma.f64 -1/2 (pow.f64 x 2) (fma.f64 -1/16 (pow.f64 x 6) (*.f64 -1/8 (pow.f64 x 4)))))
(/.f64 2 x)
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(fma.f64 -1/2 x (/.f64 2 x))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
(fma.f64 -1/8 (pow.f64 x 3) (fma.f64 -1/2 x (/.f64 2 x)))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 -1/2 x) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 -1/16 (pow.f64 x 5)))))
(fma.f64 -1/8 (pow.f64 x 3) (fma.f64 -1/2 x (+.f64 (/.f64 2 x) (*.f64 -1/16 (pow.f64 x 5)))))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(-.f64 (*.f64 (pow.f64 x 2) -1/2) -1)
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1/8 (pow.f64 x 4))))
(-.f64 (fma.f64 -1/2 (pow.f64 x 2) (*.f64 -1/8 (pow.f64 x 4))) -1)
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/16 (pow.f64 x 6)) (*.f64 -1/8 (pow.f64 x 4)))))
(-.f64 (fma.f64 -1/2 (pow.f64 x 2) (fma.f64 -1/16 (pow.f64 x 6) (*.f64 -1/8 (pow.f64 x 4)))) -1)
(fabs.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))))
(exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))
(fabs.f64 (-.f64 -1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))
(exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))
(*.f64 (sqrt.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))) (sqrt.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))))
(exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))
(.f64 (+.f64 (+.f64 1 (.f64 (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) -1)) (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 2/3)) (+.f64 1 (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))))
(*.f64 (-.f64 (-.f64 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 2/3) -1) (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) (-.f64 (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) -1))
(*.f64 (+.f64 1 (-.f64 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 2/3) (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))) (+.f64 1 (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))))
(*.f64 (-.f64 (-.f64 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 2/3) -1) (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) (-.f64 (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) -1))
(*.f64 (+.f64 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 2/3) (-.f64 1 (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))) (+.f64 1 (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))))
(*.f64 (-.f64 (-.f64 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 2/3) -1) (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) (-.f64 (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) -1))
(.f64 (.f64 (neg.f64 (sqrt.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))))) -1) (*.f64 (neg.f64 (sqrt.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))))) -1))
(exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))
(.f64 (cbrt.f64 (-.f64 -1 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) (neg.f64 (exp.f64 (.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) 2/3))))
(neg.f64 (*.f64 (cbrt.f64 (-.f64 -1 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) (pow.f64 (exp.f64 2/3) (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))))
(*.f64 -1 (-.f64 -1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))
(exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))
(*.f64 (-.f64 -1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) -1)
(exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))
(*.f64 1 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))))
(exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))
(*.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) 1)
(exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))
(.f64 (fabs.f64 (exp.f64 (.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) 2/3))) (cbrt.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))))
(exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))
(.f64 (fabs.f64 (+.f64 (+.f64 1 (.f64 (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) -1)) (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 2/3))) (fabs.f64 (+.f64 1 (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))))
(*.f64 (fabs.f64 (-.f64 (-.f64 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 2/3) -1) (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))) (fabs.f64 (-.f64 (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) -1)))
(.f64 (cbrt.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))) (fabs.f64 (exp.f64 (.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) 2/3))))
(exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))
(*.f64 (fabs.f64 (/.f64 1 (-.f64 (+.f64 1 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 2)) (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))) (fabs.f64 (+.f64 1 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 3))))
(exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))
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(if (!=.f64 (/.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) x) 0) (/.f64 (.f64 (-.f64 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 3) -1) (pow.f64 (pow.f64 x 3) -1)) (+.f64 (pow.f64 (pow.f64 x -1) 2) (.f64 (pow.f64 (pow.f64 x -1) 2) (*.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) (+.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) -1))))) (/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) x))
(if (!=.f64 (pow.f64 x -1) 0) (/.f64 (+.f64 (pow.f64 (.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) (pow.f64 x -1)) 3) (pow.f64 (pow.f64 x 3) -1)) (+.f64 (.f64 (.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) (pow.f64 x -1)) (.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) (pow.f64 x -1))) (-.f64 (pow.f64 (pow.f64 x -1) 2) (.f64 (.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) (pow.f64 x -1)) (pow.f64 x -1))))) (/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) x))
(if (!=.f64 (pow.f64 x -1) 0) (/.f64 (.f64 (-.f64 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 3) -1) (pow.f64 (pow.f64 x 3) -1)) (+.f64 (pow.f64 (pow.f64 x -1) 2) (.f64 (pow.f64 (pow.f64 x -1) 2) (*.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) (+.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) -1))))) (/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) x))
(if (!=.f64 (pow.f64 x -1) 0) (/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 x -1) (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) 3) (pow.f64 (pow.f64 x 3) -1)) (+.f64 (.f64 (.f64 (pow.f64 x -1) (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) (.f64 (pow.f64 x -1) (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) (-.f64 (pow.f64 (pow.f64 x -1) 2) (.f64 (.f64 (pow.f64 x -1) (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) (pow.f64 x -1))))) (/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) x))
(if (!=.f64 (pow.f64 x -1) 0) (/.f64 (.f64 (-.f64 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 3) -1) (pow.f64 (pow.f64 x 3) -1)) (+.f64 (pow.f64 (pow.f64 x -1) 2) (.f64 (pow.f64 (pow.f64 x -1) 2) (*.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) (+.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) -1))))) (/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) x))
(if (!=.f64 (/.f64 0 (neg.f64 x)) 0) (/.f64 (-.f64 (pow.f64 (/.f64 0 (neg.f64 x)) 3) (pow.f64 (/.f64 (-.f64 -1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) x) 3)) (+.f64 (.f64 (/.f64 0 (neg.f64 x)) (/.f64 0 (neg.f64 x))) (+.f64 (pow.f64 (/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) x) 2) (.f64 (/.f64 0 (neg.f64 x)) (/.f64 (-.f64 -1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) x))))) (/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) x))
(if (!=.f64 0 0) (/.f64 (pow.f64 (/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) x) 2) (/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) x)) (/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) x))
(if (!=.f64 0 0) (/.f64 (pow.f64 (/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) x) 3) (+.f64 0 (+.f64 (pow.f64 (/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) x) 2) (*.f64 0 (/.f64 (-.f64 -1 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) x))))) (/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) x))
(if (!=.f64 0 0) (/.f64 (pow.f64 (/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) x) 2) (/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) x)) (/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) x))
(+.f64 (pow.f64 x -1) (*.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) (pow.f64 x -1)))
(/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) x)
(+.f64 (*.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) (pow.f64 x -1)) (pow.f64 x -1))
(/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) x)
(+.f64 (pow.f64 x -1) (*.f64 (pow.f64 x -1) (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))
(/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) x)
(+.f64 (*.f64 (pow.f64 x -1) (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) (pow.f64 x -1))
(/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) x)
(+.f64 (/.f64 0 (neg.f64 x)) (/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) x))
(/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) x)
(+.f64 0 (/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) x))
(/.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) x)
(fabs.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))
(sqrt.f64 (neg.f64 (fma.f64 x x -1)))
(fabs.f64 (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))
(sqrt.f64 (neg.f64 (fma.f64 x x -1)))
(*.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))
(sqrt.f64 (neg.f64 (fma.f64 x x -1)))
(.f64 (.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) -1) (*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) -1))
(sqrt.f64 (neg.f64 (fma.f64 x x -1)))
(*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) (neg.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))))
(sqrt.f64 (neg.f64 (fma.f64 x x -1)))
(*.f64 (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 2/3))
(*.f64 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 2/3) (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))
(*.f64 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 2/3) (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))
(*.f64 -1 (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))
(sqrt.f64 (neg.f64 (fma.f64 x x -1)))
(*.f64 (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) -1)
(sqrt.f64 (neg.f64 (fma.f64 x x -1)))
(*.f64 1 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))
(sqrt.f64 (neg.f64 (fma.f64 x x -1)))
(*.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 1)
(sqrt.f64 (neg.f64 (fma.f64 x x -1)))
(*.f64 (fabs.f64 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 2/3)) (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))
(*.f64 (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) (fabs.f64 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 2/3)))
(*.f64 (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) (fabs.f64 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 2/3)))
(-.f64 0 (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))
(sqrt.f64 (neg.f64 (fma.f64 x x -1)))
(/.f64 (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) -1)
(sqrt.f64 (neg.f64 (fma.f64 x x -1)))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 1)
(sqrt.f64 (neg.f64 (fma.f64 x x -1)))
(sqrt.f64 (neg.f64 (fma.f64 x x -1)))
(sqrt.f64 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 2))
(sqrt.f64 (neg.f64 (fma.f64 x x -1)))
(pow.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) 2)
(sqrt.f64 (neg.f64 (fma.f64 x x -1)))
(pow.f64 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 3) 1/3)
(sqrt.f64 (neg.f64 (fma.f64 x x -1)))
(pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) 2)
(sqrt.f64 (neg.f64 (fma.f64 x x -1)))
(pow.f64 (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) 3)
(sqrt.f64 (neg.f64 (fma.f64 x x -1)))
(pow.f64 (neg.f64 (fma.f64 x x -1)) 1/2)
(sqrt.f64 (neg.f64 (fma.f64 x x -1)))
(pow.f64 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 2) 1/2)
(sqrt.f64 (neg.f64 (fma.f64 x x -1)))
(pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 1)
(sqrt.f64 (neg.f64 (fma.f64 x x -1)))
(pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) 4)
(sqrt.f64 (neg.f64 (fma.f64 x x -1)))
(pow.f64 (*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) -1) 2)
(sqrt.f64 (neg.f64 (fma.f64 x x -1)))
(cbrt.f64 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 3))
(sqrt.f64 (neg.f64 (fma.f64 x x -1)))
(neg.f64 (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))))
(sqrt.f64 (neg.f64 (fma.f64 x x -1)))
(neg.f64 (pow.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) 3))
(sqrt.f64 (neg.f64 (fma.f64 x x -1)))
(if (!=.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) 0) (/.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) (neg.f64 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) -1/2))) (sqrt.f64 (neg.f64 (fma.f64 x x -1))))
(if (!=.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) 0) (/.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) -1/2)) (sqrt.f64 (neg.f64 (fma.f64 x x -1))))
(if (!=.f64 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 2/3) 0) (/.f64 (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) (cbrt.f64 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) -2))) (sqrt.f64 (neg.f64 (fma.f64 x x -1))))
(if (!=.f64 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 2/3) 0) (cbrt.f64 (/.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) -2))) (sqrt.f64 (neg.f64 (fma.f64 x x -1))))
(if (!=.f64 (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) 0) (/.f64 -1 (/.f64 -1 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) (sqrt.f64 (neg.f64 (fma.f64 x x -1))))
(if (!=.f64 -1 0) (sqrt.f64 (neg.f64 (fma.f64 x x -1))) (sqrt.f64 (neg.f64 (fma.f64 x x -1))))
(if (!=.f64 1 0) (sqrt.f64 (neg.f64 (fma.f64 x x -1))) (sqrt.f64 (neg.f64 (fma.f64 x x -1))))
(if (!=.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 0) (pow.f64 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) -1) -1) (sqrt.f64 (neg.f64 (fma.f64 x x -1))))
(if (!=.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 0) (/.f64 -1 (/.f64 -1 (sqrt.f64 (neg.f64 (fma.f64 x x -1))))) (sqrt.f64 (neg.f64 (fma.f64 x x -1))))
(if (!=.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) 0) (/.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) -1/2)) (sqrt.f64 (neg.f64 (fma.f64 x x -1))))
(if (!=.f64 (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) 0) (/.f64 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 2/3) (cbrt.f64 (pow.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) -1))) (sqrt.f64 (neg.f64 (fma.f64 x x -1))))

eval402.0ms (0.9%)

Compiler: Compiled 17047 to 12958 computations (24% saved)

prune103.0ms (0.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	580	3	583
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	580	5	585

Error

Counts

585 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	0b	(log.f64 (/.f64 (+.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 1) x))
▶	0.6b	(log.f64 (/.f64 (+.f64 2 (*.f64 (pow.f64 x 2) -1/2)) x))
▶	0.8b	(log.f64 (/.f64 2 x))
✓	0.0b	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
▶	0.6b	(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))

Compiler

Compiled 53 to 41 computations (22.6% saved)

localize16.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 35 to 27 computations (22.9% saved)

series2.0ms (0%)

Counts

1 → 3

Calls

3 calls:

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

Compiler

Compiled 55 to 40 computations (27.3% saved)

rewrite1.7s (3.9%)

Algorithm

1×	batch-egg-rewrite

Rules

54× egg-rr

Counts

1 → 54

Calls

Call 1

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

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

Outputs

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

simplify2.2s (5.1%)

Algorithm

1×

egglog

Counts

57 → 70

Calls

Call 1

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

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

localize10.0ms (0%)

Compiler: Compiled 10 to 7 computations (30% saved)

localize33.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 38 to 30 computations (21.1% saved)

series21.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

Compiler

Compiled 840 to 725 computations (13.7% saved)

rewrite1.9s (4.4%)

Algorithm

1×	batch-egg-rewrite

Rules

179×	`egg-rr`
120×	`egg-rr`

Counts

2 → 299

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 -1/2) (.f64 (cbrt.f64 1/4) (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (.f64 -1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 -1/2 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 1/4) (pow.f64 x 2)) (cbrt.f64 -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 x 2)) (.f64 -1/2 (cbrt.f64 (pow.f64 (pow.f64 x 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 1/4) (.f64 (pow.f64 x 2) (cbrt.f64 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (pow.f64 x 2) 2)) (.f64 -1/2 (cbrt.f64 (pow.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 -1/2 (cbrt.f64 (pow.f64 (pow.f64 x 2) 2))) (cbrt.f64 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 x 2) (cbrt.f64 -1/2)) (cbrt.f64 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 -1/2 (cbrt.f64 (pow.f64 x 2))) (cbrt.f64 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Outputs

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2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (*.f64 x (*.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 -1/2 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (*.f64 x (*.f64 -1/2 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x (*.f64 -1/2 x)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (*.f64 (neg.f64 (pow.f64 x 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 1 (*.f64 1/2 (pow.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 0 (-.f64 (*.f64 x (*.f64 -1/2 x)) -1)))))))

simplify5.6s (12.8%)

Algorithm

1×

egglog

Counts

323 → 402

Calls

Call 1

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

Outputs
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 (/.f64 1 x) -2))
(*.f64 -1/2 (pow.f64 (pow.f64 x -1) -2))
(*.f64 -1/2 (pow.f64 (/.f64 1 x) -2))
(*.f64 -1/2 (pow.f64 (pow.f64 x -1) -2))
(*.f64 -1/2 (pow.f64 (/.f64 1 x) -2))
(*.f64 -1/2 (pow.f64 (pow.f64 x -1) -2))
(*.f64 -1/2 (pow.f64 (/.f64 1 x) -2))
(*.f64 -1/2 (pow.f64 (pow.f64 x -1) -2))
(*.f64 -1/2 (pow.f64 (/.f64 -1 x) -2))
(*.f64 -1/2 (pow.f64 (/.f64 -1 x) -2))
(*.f64 -1/2 (pow.f64 (/.f64 -1 x) -2))
(*.f64 -1/2 (pow.f64 (/.f64 -1 x) -2))
2
(+.f64 2 (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 x (*.f64 -1/2 x) 2)
(+.f64 2 (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 x (*.f64 -1/2 x) 2)
(+.f64 2 (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 x (*.f64 -1/2 x) 2)
(*.f64 -1/2 (pow.f64 (/.f64 1 x) -2))
(*.f64 -1/2 (pow.f64 (pow.f64 x -1) -2))
(+.f64 2 (*.f64 -1/2 (pow.f64 (/.f64 1 x) -2)))
(-.f64 (*.f64 -1/2 (pow.f64 (pow.f64 x -1) -2)) -2)
(+.f64 2 (*.f64 -1/2 (pow.f64 (/.f64 1 x) -2)))
(-.f64 (*.f64 -1/2 (pow.f64 (pow.f64 x -1) -2)) -2)
(+.f64 2 (*.f64 -1/2 (pow.f64 (/.f64 1 x) -2)))
(-.f64 (*.f64 -1/2 (pow.f64 (pow.f64 x -1) -2)) -2)
(*.f64 -1/2 (pow.f64 (/.f64 -1 x) -2))
(+.f64 2 (*.f64 -1/2 (pow.f64 (/.f64 -1 x) -2)))
(-.f64 (*.f64 -1/2 (pow.f64 (/.f64 -1 x) -2)) -2)
(+.f64 2 (*.f64 -1/2 (pow.f64 (/.f64 -1 x) -2)))
(-.f64 (*.f64 -1/2 (pow.f64 (/.f64 -1 x) -2)) -2)
(+.f64 2 (*.f64 -1/2 (pow.f64 (/.f64 -1 x) -2)))
(-.f64 (*.f64 -1/2 (pow.f64 (/.f64 -1 x) -2)) -2)
(.f64 (cbrt.f64 -1/2) (.f64 (cbrt.f64 1/4) (pow.f64 x 2)))
(.f64 (pow.f64 x 2) (cbrt.f64 (.f64 -1/2 1/4)))
(.f64 x (.f64 -1/2 x))
(*.f64 -1/2 (pow.f64 x 2))
(.f64 (.f64 -1/2 x) x)
(*.f64 -1/2 (pow.f64 x 2))
(.f64 (.f64 (cbrt.f64 1/4) (pow.f64 x 2)) (cbrt.f64 -1/2))
(.f64 (pow.f64 x 2) (cbrt.f64 (.f64 -1/2 1/4)))
(.f64 (cbrt.f64 (pow.f64 x 2)) (.f64 -1/2 (cbrt.f64 (pow.f64 (pow.f64 x 2) 2))))
(*.f64 -1/2 (pow.f64 x 2))
(.f64 (cbrt.f64 1/4) (.f64 (pow.f64 x 2) (cbrt.f64 -1/2)))
(.f64 (pow.f64 x 2) (cbrt.f64 (.f64 -1/2 1/4)))
(.f64 (cbrt.f64 (pow.f64 (pow.f64 x 2) 2)) (.f64 -1/2 (cbrt.f64 (pow.f64 x 2))))
(*.f64 -1/2 (pow.f64 x 2))
(.f64 (.f64 -1/2 (cbrt.f64 (pow.f64 (pow.f64 x 2) 2))) (cbrt.f64 (pow.f64 x 2)))
(*.f64 -1/2 (pow.f64 x 2))
(.f64 (.f64 (pow.f64 x 2) (cbrt.f64 -1/2)) (cbrt.f64 1/4))
(.f64 (pow.f64 x 2) (cbrt.f64 (.f64 -1/2 1/4)))
(.f64 (.f64 -1/2 (cbrt.f64 (pow.f64 x 2))) (cbrt.f64 (pow.f64 (pow.f64 x 2) 2)))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) -1/2)
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 1/2 (neg.f64 (pow.f64 x 2)))
(*.f64 -1/2 (pow.f64 x 2))
(.f64 (.f64 -1/2 (sqrt.f64 1/2)) (+.f64 (.f64 (pow.f64 x 2) (sqrt.f64 1/2)) (.f64 (pow.f64 x 2) (sqrt.f64 1/2))))
(*.f64 -1/2 (pow.f64 x 2))
(.f64 (cbrt.f64 -1/32) (+.f64 (.f64 (pow.f64 x 2) (cbrt.f64 1/2)) (*.f64 (pow.f64 x 2) (cbrt.f64 1/2))))
(.f64 (cbrt.f64 -1/32) (.f64 2 (*.f64 (pow.f64 x 2) (cbrt.f64 1/2))))
(.f64 (.f64 (pow.f64 x 2) (cbrt.f64 1/2)) (+.f64 (cbrt.f64 -1/32) (cbrt.f64 -1/32)))
(.f64 (cbrt.f64 -1/32) (.f64 2 (*.f64 (pow.f64 x 2) (cbrt.f64 1/2))))
(.f64 (cbrt.f64 (/.f64 (.f64 1/4 (pow.f64 (pow.f64 x 2) 2)) 8)) (+.f64 (cbrt.f64 (.f64 x (.f64 -1/2 x))) (cbrt.f64 (.f64 x (.f64 -1/2 x)))))
(.f64 2 (cbrt.f64 (.f64 (/.f64 (.f64 (pow.f64 (pow.f64 x 2) 2) -1/4) -8) (.f64 -1/2 (pow.f64 x 2)))))
(.f64 (.f64 (cbrt.f64 1/4) (pow.f64 x 2)) (+.f64 (cbrt.f64 -1/16) (cbrt.f64 -1/16)))
(.f64 (cbrt.f64 -1/16) (.f64 2 (*.f64 (pow.f64 x 2) (cbrt.f64 1/4))))
(.f64 (.f64 (pow.f64 x 2) (sqrt.f64 1/2)) (+.f64 (.f64 -1/2 (sqrt.f64 1/2)) (.f64 -1/2 (sqrt.f64 1/2))))
(*.f64 -1/2 (pow.f64 x 2))
(.f64 (cbrt.f64 (/.f64 (.f64 x (.f64 -1/2 x)) (sqrt.f64 8))) (+.f64 (cbrt.f64 (/.f64 (.f64 1/4 (pow.f64 (pow.f64 x 2) 2)) (sqrt.f64 8))) (cbrt.f64 (/.f64 (*.f64 1/4 (pow.f64 (pow.f64 x 2) 2)) (sqrt.f64 8)))))
(.f64 2 (cbrt.f64 (.f64 (/.f64 (pow.f64 (pow.f64 x 2) 2) (/.f64 (sqrt.f64 8) 1/4)) (.f64 (.f64 -1/2 (pow.f64 x 2)) (sqrt.f64 1/8)))))
(.f64 (cbrt.f64 (.f64 x (.f64 -1/2 x))) (+.f64 (cbrt.f64 (/.f64 (.f64 1/4 (pow.f64 (pow.f64 x 2) 2)) 8)) (cbrt.f64 (/.f64 (*.f64 1/4 (pow.f64 (pow.f64 x 2) 2)) 8))))
(.f64 2 (cbrt.f64 (.f64 (/.f64 (.f64 (pow.f64 (pow.f64 x 2) 2) -1/4) -8) (.f64 -1/2 (pow.f64 x 2)))))
(*.f64 (pow.f64 x 2) (+.f64 -1/4 -1/4))
(*.f64 -1/2 (pow.f64 x 2))
(.f64 (.f64 (pow.f64 x 2) (cbrt.f64 -1/32)) (+.f64 (cbrt.f64 1/2) (cbrt.f64 1/2)))
(.f64 (cbrt.f64 1/2) (.f64 2 (*.f64 (pow.f64 x 2) (cbrt.f64 -1/32))))
(*.f64 (/.f64 (pow.f64 x 2) (neg.f64 (sqrt.f64 8))) (+.f64 (sqrt.f64 1/2) (sqrt.f64 1/2)))
(/.f64 (/.f64 (pow.f64 x 2) (neg.f64 (sqrt.f64 8))) (sqrt.f64 1/2))
(.f64 (cbrt.f64 (.f64 (pow.f64 (pow.f64 x 2) 2) 1/16)) (+.f64 (cbrt.f64 (.f64 -1/4 (pow.f64 x 2))) (cbrt.f64 (.f64 -1/4 (pow.f64 x 2)))))
(*.f64 -1/2 (pow.f64 x 2))
(.f64 (cbrt.f64 (/.f64 (.f64 1/4 (pow.f64 (pow.f64 x 2) 2)) (sqrt.f64 8))) (+.f64 (cbrt.f64 (/.f64 (.f64 x (.f64 -1/2 x)) (sqrt.f64 8))) (cbrt.f64 (/.f64 (.f64 x (.f64 -1/2 x)) (sqrt.f64 8)))))
(.f64 2 (cbrt.f64 (.f64 (/.f64 (pow.f64 (pow.f64 x 2) 2) (/.f64 (sqrt.f64 8) 1/4)) (.f64 (.f64 -1/2 (pow.f64 x 2)) (sqrt.f64 1/8)))))
(*.f64 -1/4 (+.f64 (pow.f64 x 2) (pow.f64 x 2)))
(*.f64 -1/2 (pow.f64 x 2))
(.f64 (cbrt.f64 (.f64 -1/4 (pow.f64 x 2))) (+.f64 (cbrt.f64 (.f64 (pow.f64 (pow.f64 x 2) 2) 1/16)) (cbrt.f64 (.f64 (pow.f64 (pow.f64 x 2) 2) 1/16))))
(*.f64 -1/2 (pow.f64 x 2))
(.f64 (+.f64 (cbrt.f64 (.f64 (pow.f64 (pow.f64 x 2) 2) 1/16)) (-.f64 (cbrt.f64 (.f64 (pow.f64 (pow.f64 x 2) 2) 1/16)) (cbrt.f64 (.f64 (pow.f64 (pow.f64 x 2) 2) 1/16)))) (+.f64 (cbrt.f64 (.f64 -1/4 (pow.f64 x 2))) (cbrt.f64 (.f64 -1/4 (pow.f64 x 2)))))
(*.f64 -1/2 (pow.f64 x 2))
(.f64 -1 (.f64 1/2 (pow.f64 x 2)))
(*.f64 -1/2 (pow.f64 x 2))
(.f64 (.f64 1/2 (pow.f64 x 2)) -1)
(*.f64 -1/2 (pow.f64 x 2))
(.f64 (.f64 -1/4 (pow.f64 x 2)) 2)
(*.f64 -1/2 (pow.f64 x 2))
(.f64 (cbrt.f64 (.f64 1/4 (pow.f64 (pow.f64 x 2) 2))) (cbrt.f64 (.f64 x (.f64 -1/2 x))))
(*.f64 -1/2 (pow.f64 x 2))
(.f64 2 (.f64 -1/4 (pow.f64 x 2)))
(*.f64 -1/2 (pow.f64 x 2))
(.f64 (cbrt.f64 (.f64 x (.f64 -1/2 x))) (cbrt.f64 (.f64 1/4 (pow.f64 (pow.f64 x 2) 2))))
(*.f64 -1/2 (pow.f64 x 2))
(.f64 (.f64 (.f64 x (.f64 -1/2 x)) (cbrt.f64 1/2)) (+.f64 (cbrt.f64 1/4) (cbrt.f64 1/4)))
(.f64 (cbrt.f64 1/4) (.f64 (cbrt.f64 1/2) (*.f64 (pow.f64 x 2) -1)))
(.f64 (cbrt.f64 1/2) (+.f64 (.f64 (pow.f64 x 2) (cbrt.f64 -1/32)) (*.f64 (pow.f64 x 2) (cbrt.f64 -1/32))))
(.f64 (cbrt.f64 1/2) (.f64 2 (*.f64 (pow.f64 x 2) (cbrt.f64 -1/32))))
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(if (!=.f64 (.f64 (.f64 x 1/2) x) 0) (/.f64 (-.f64 (pow.f64 (fma.f64 x (.f64 -1/2 x) 1) 2) 1) (.f64 -1/2 (pow.f64 x 2))) (fma.f64 x (*.f64 -1/2 x) 2))
(if (!=.f64 (-.f64 (fma.f64 (pow.f64 x 2) -1/4 1) (fma.f64 (pow.f64 x 2) -1/4 1)) 0) (/.f64 (-.f64 (pow.f64 (fma.f64 (pow.f64 x 2) -1/4 1) 2) (pow.f64 (fma.f64 (pow.f64 x 2) -1/4 1) 2)) (-.f64 (fma.f64 (pow.f64 x 2) -1/4 1) (fma.f64 (pow.f64 x 2) -1/4 1))) (fma.f64 -1/2 (pow.f64 x 2) 2))
(if (!=.f64 0 0) 0 (fma.f64 x (*.f64 -1/2 x) 2))
(if (!=.f64 (-.f64 (.f64 x (.f64 -1/2 x)) -1) 0) (.f64 (-.f64 (.f64 x (.f64 -1/2 x)) -1) (+.f64 1 (/.f64 1 (-.f64 (.f64 x (*.f64 -1/2 x)) -1)))) (fma.f64 -1/2 (pow.f64 x 2) 2))
(if (!=.f64 (fma.f64 x (.f64 -1/2 x) 1) 0) (.f64 (fma.f64 x (.f64 -1/2 x) 1) (-.f64 (pow.f64 (fma.f64 x (.f64 -1/2 x) 1) -1) -1)) (fma.f64 x (*.f64 -1/2 x) 2))
(if (!=.f64 (fma.f64 (pow.f64 x 2) -1/4 1) 0) (*.f64 (fma.f64 (pow.f64 x 2) -1/4 1) (+.f64 1 (/.f64 (fma.f64 (pow.f64 x 2) -1/4 1) (fma.f64 (pow.f64 x 2) -1/4 1)))) (fma.f64 -1/2 (pow.f64 x 2) 2))
(if (!=.f64 (fma.f64 (pow.f64 x 2) -1/4 1) 0) (.f64 (fma.f64 (pow.f64 x 2) -1/4 1) (+.f64 1 (/.f64 (fma.f64 (pow.f64 x 2) -1/4 1) (fma.f64 (pow.f64 x 2) -1/4 1)))) (fma.f64 x (.f64 -1/2 x) 2))
(if (!=.f64 (*.f64 1/2 (pow.f64 x 2)) 0) (fma.f64 -1/2 (pow.f64 x 2) 2) (fma.f64 -1/2 (pow.f64 x 2) 2))
(if (!=.f64 (.f64 (.f64 x 1/2) x) 0) (fma.f64 x (.f64 -1/2 x) 2) (fma.f64 x (.f64 -1/2 x) 2))
(if (!=.f64 (+.f64 (.f64 (-.f64 (.f64 x (.f64 -1/2 x)) -1) (-.f64 (.f64 x (.f64 -1/2 x)) -1)) (.f64 1/2 (pow.f64 x 2))) 0) (fma.f64 -1/2 (pow.f64 x 2) 2) (fma.f64 -1/2 (pow.f64 x 2) 2))
(if (!=.f64 (-.f64 (pow.f64 (fma.f64 x (.f64 -1/2 x) 1) 2) (.f64 -1/2 (pow.f64 x 2))) 0) (fma.f64 x (.f64 -1/2 x) 2) (fma.f64 x (.f64 -1/2 x) 2))
(if (!=.f64 (+.f64 1 (-.f64 (.f64 (-.f64 (.f64 x (.f64 -1/2 x)) -1) (-.f64 (.f64 x (.f64 -1/2 x)) -1)) (-.f64 (.f64 x (*.f64 -1/2 x)) -1))) 0) (fma.f64 -1/2 (pow.f64 x 2) 2) (fma.f64 -1/2 (pow.f64 x 2) 2))
(if (!=.f64 (-.f64 (pow.f64 (fma.f64 x (.f64 -1/2 x) 1) 2) (.f64 -1/2 (pow.f64 x 2))) 0) (fma.f64 x (.f64 -1/2 x) 2) (fma.f64 x (.f64 -1/2 x) 2))
(if (!=.f64 (+.f64 (pow.f64 (fma.f64 (pow.f64 x 2) -1/4 1) 2) (-.f64 (pow.f64 (fma.f64 (pow.f64 x 2) -1/4 1) 2) (pow.f64 (fma.f64 (pow.f64 x 2) -1/4 1) 2))) 0) (/.f64 (+.f64 (pow.f64 (fma.f64 (pow.f64 x 2) -1/4 1) 3) (pow.f64 (fma.f64 (pow.f64 x 2) -1/4 1) 3)) (+.f64 (pow.f64 (fma.f64 (pow.f64 x 2) -1/4 1) 2) (-.f64 (pow.f64 (fma.f64 (pow.f64 x 2) -1/4 1) 2) (pow.f64 (fma.f64 (pow.f64 x 2) -1/4 1) 2)))) (fma.f64 -1/2 (pow.f64 x 2) 2))
(if (!=.f64 (pow.f64 (fma.f64 (pow.f64 x 2) -1/4 1) 2) 0) (/.f64 (.f64 2 (pow.f64 (fma.f64 (pow.f64 x 2) -1/4 1) 3)) (pow.f64 (fma.f64 (pow.f64 x 2) -1/4 1) 2)) (fma.f64 x (.f64 -1/2 x) 2))
(if (!=.f64 (fma.f64 1/4 (pow.f64 (pow.f64 x 2) 2) (+.f64 4 (pow.f64 x 2))) 0) (fma.f64 -1/2 (pow.f64 x 2) 2) (fma.f64 -1/2 (pow.f64 x 2) 2))
(if (!=.f64 (fma.f64 1/4 (pow.f64 (pow.f64 x 2) 2) (-.f64 (pow.f64 x 2) -4)) 0) (fma.f64 x (.f64 -1/2 x) 2) (fma.f64 x (.f64 -1/2 x) 2))
(if (!=.f64 2 0) (fma.f64 -1/2 (pow.f64 x 2) 2) (fma.f64 -1/2 (pow.f64 x 2) 2))
(if (!=.f64 2 0) (fma.f64 x (.f64 -1/2 x) 2) (fma.f64 x (.f64 -1/2 x) 2))
(+.f64 (fma.f64 (pow.f64 x 2) -1/4 1) (fma.f64 (pow.f64 x 2) -1/4 1))
(fma.f64 x (*.f64 -1/2 x) 2)
(+.f64 (.f64 -1/4 (pow.f64 x 2)) (+.f64 (.f64 -1/4 (pow.f64 x 2)) 2))
(fma.f64 x (*.f64 -1/2 x) 2)
(+.f64 1/2 (+.f64 1/2 (-.f64 (.f64 x (.f64 -1/2 x)) -1)))
(fma.f64 x (*.f64 -1/2 x) 2)
(+.f64 (*.f64 -1/4 (pow.f64 x 2)) (+.f64 1 (fma.f64 (pow.f64 x 2) -1/4 1)))
(fma.f64 x (*.f64 -1/2 x) 2)
(+.f64 (+.f64 2 (.f64 -1/4 (pow.f64 x 2))) (.f64 -1/4 (pow.f64 x 2)))
(fma.f64 x (*.f64 -1/2 x) 2)
(+.f64 (+.f64 (-.f64 (.f64 x (.f64 -1/2 x)) -1) 1/2) 1/2)
(fma.f64 x (*.f64 -1/2 x) 2)
(+.f64 (fma.f64 -1/2 (pow.f64 x 2) 2) 0)
(fma.f64 x (*.f64 -1/2 x) 2)
(+.f64 (+.f64 (fma.f64 (pow.f64 x 2) -1/4 1) 1) (*.f64 -1/4 (pow.f64 x 2)))
(fma.f64 x (*.f64 -1/2 x) 2)
(+.f64 2 (.f64 x (.f64 -1/2 x)))
(fma.f64 x (*.f64 -1/2 x) 2)
(+.f64 (.f64 x (.f64 -1/2 x)) 2)
(fma.f64 x (*.f64 -1/2 x) 2)
(+.f64 1 (-.f64 (.f64 x (.f64 -1/2 x)) -1))
(fma.f64 x (*.f64 -1/2 x) 2)
(+.f64 (-.f64 (.f64 x (.f64 -1/2 x)) -1) 1)
(fma.f64 x (*.f64 -1/2 x) 2)
(+.f64 2 (*.f64 (neg.f64 (pow.f64 x 2)) 1/2))
(fma.f64 x (*.f64 -1/2 x) 2)
(+.f64 1 (-.f64 1 (*.f64 1/2 (pow.f64 x 2))))
(fma.f64 x (*.f64 -1/2 x) 2)
(+.f64 1 (+.f64 0 (-.f64 (.f64 x (.f64 -1/2 x)) -1)))
(fma.f64 x (*.f64 -1/2 x) 2)

eval275.0ms (0.6%)

Compiler: Compiled 11196 to 9311 computations (16.8% saved)

prune120.0ms (0.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	470	2	472
Fresh	0	0	0
Picked	1	0	1
Done	1	3	4
Total	472	5	477

Error

Counts

477 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.6b	(log.f64 (/.f64 (-.f64 (.f64 x (.f64 -1/2 x)) -2) x))
✓	0b	(log.f64 (/.f64 (+.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 1) x))
✓	0.8b	(log.f64 (/.f64 2 x))
▶	0.6b	(log.f64 (-.f64 (/.f64 2 x) (*.f64 x 1/2)))
✓	0.0b	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))

Compiler

Compiled 51 to 38 computations (25.5% saved)

localize22.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (/.f64 2 x) (*.f64 x 1/2))

Compiler

Compiled 25 to 18 computations (28% saved)

series4.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

Compiler

Compiled 460 to 355 computations (22.8% saved)

rewrite1.6s (3.6%)

Algorithm

1×	batch-egg-rewrite

Rules

83× egg-rr

Counts

1 → 83

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (+.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 x 2))) (cbrt.f64 (/.f64 x x))) (cbrt.f64 (/.f64 4 (pow.f64 x 2)))) (+.f64 (cbrt.f64 (/.f64 2 x)) (cbrt.f64 (*.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 2 x))) (cbrt.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 2 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/2 x (/.f64 -2 x))) (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 2 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 2 x)) 2)) (cbrt.f64 (fma.f64 x -1/2 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (fma.f64 1/2 x (/.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/2 x (/.f64 -2 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 0 (+.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 2 x)) 2)) (*.f64 0 (cbrt.f64 (fma.f64 1/2 x (/.f64 -2 x)))))) (cbrt.f64 (fma.f64 x -1/2 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 0 (-.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 2 x)) 2)) (*.f64 0 (cbrt.f64 (fma.f64 x -1/2 (/.f64 2 x)))))) (+.f64 0 (cbrt.f64 (fma.f64 x -1/2 (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 2))) (-.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 x 2))) (*.f64 (cbrt.f64 (/.f64 2 x)) (cbrt.f64 (*.f64 -1/2 x))))) (+.f64 (cbrt.f64 (/.f64 2 x)) (cbrt.f64 (*.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 x 2))) (-.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 2))) (*.f64 (cbrt.f64 (*.f64 -1/2 x)) (cbrt.f64 (/.f64 2 x))))) (+.f64 (cbrt.f64 (*.f64 -1/2 x)) (cbrt.f64 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x -1/2 (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x -1/2 (/.f64 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 2 x) (*.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 3 (+.f64 3 (fma.f64 1/2 x (/.f64 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (neg.f64 x)) (fma.f64 1/2 x (/.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 3 (-.f64 3 (fma.f64 x -1/2 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 -1/2 x) (/.f64 0 (neg.f64 x))) (/.f64 -2 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (+.f64 1 (fma.f64 1/2 x (/.f64 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (-.f64 1 (fma.f64 x -1/2 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 -1/2 x) (/.f64 -2 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (fma.f64 1/2 x (/.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 1/2 x (/.f64 -2 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x -1/2 (/.f64 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x -1/2 (/.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/2 x (/.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 x) (sqrt.f64 1/2)) (sqrt.f64 1/2) (/.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/2 x)) (cbrt.f64 (*.f64 -1/4 (pow.f64 x 2))) (/.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 x) (cbrt.f64 1/2)) (cbrt.f64 1/4) (/.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (*.f64 1/2 x) (/.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 -1/2 x)) (cbrt.f64 (*.f64 1/4 (pow.f64 x 2))) (/.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 x) 1/2 (/.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 (neg.f64 x) (/.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 2) (cbrt.f64 x)) (/.f64 (sqrt.f64 2) (cbrt.f64 (pow.f64 x 2))) (*.f64 -1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -1/2 x) (/.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x -1)) (/.f64 2 (cbrt.f64 (pow.f64 x 2))) (*.f64 -1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 2) x) (*.f64 -1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 2) (/.f64 (cbrt.f64 4) x) (*.f64 -1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 2 x)) (cbrt.f64 (/.f64 4 (pow.f64 x 2))) (*.f64 -1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 2))) (cbrt.f64 (/.f64 2 x)) (*.f64 -1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 2 x) (*.f64 -1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (pow.f64 x -1) (*.f64 -1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 2 x) 1 (*.f64 -1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x -1) 2 (*.f64 -1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -2 (/.f64 -1 x) (*.f64 -1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 0 0 (fma.f64 x -1/2 (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 0 (fma.f64 x -1/2 (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 2 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 2 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x -1/2 (/.f64 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 2 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (fma.f64 1/2 x (/.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (fma.f64 1/2 x (/.f64 2 x)) 0) (/.f64 (fma.f64 1/4 (pow.f64 x 2) (/.f64 -4 (pow.f64 x 2))) (neg.f64 (fma.f64 1/2 x (/.f64 2 x)))) (fma.f64 x -1/2 (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (/.f64 2 x) 0) (/.f64 (-.f64 1 (/.f64 x (/.f64 4 x))) (*.f64 1/2 x)) (fma.f64 x -1/2 (/.f64 2 x)))))) 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simplify2.5s (5.6%)

Algorithm

1×

egglog

Counts

95 → 111

Calls

Call 1

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

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

localize33.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 38 to 26 computations (31.6% saved)

series11.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

Compiler

Compiled 460 to 405 computations (12% saved)

rewrite1.7s (3.9%)

Algorithm

1×	batch-egg-rewrite

Rules

134× egg-rr

Counts

1 → 134

Calls

Call 1

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

Outputs

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

simplify4.2s (9.6%)

Algorithm

1×

egglog

Counts

146 → 203

Calls

Call 1

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

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

eval413.0ms (0.9%)

Compiler: Compiled 10798 to 8239 computations (23.7% saved)

prune78.0ms (0.2%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	314	0	314
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	314	5	319

Error

Counts

319 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.6b	(log.f64 (/.f64 (-.f64 (.f64 x (.f64 -1/2 x)) -2) x))
✓	0b	(log.f64 (/.f64 (+.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 1) x))
✓	0.8b	(log.f64 (/.f64 2 x))
✓	0.6b	(log.f64 (-.f64 (/.f64 2 x) (*.f64 x 1/2)))
✓	0.0b	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))

Compiler

Compiled 51 to 38 computations (25.5% saved)

regimes30.0ms (0.1%)

Counts

7 → 1

Calls

Call 1

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

Outputs
(log.f64 (/.f64 (+.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1))) 1) x))

Calls

3 calls:

10.0ms	(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
10.0ms	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
6.0ms	x

Results

Error	Segments	Branch
0b	1	`x`
0b	1	`(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))`
0b	1	`(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))`

Compiler

Compiled 96 to 70 computations (27.1% saved)

regimes32.0ms (0.1%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

3 calls:

12.0ms	(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
10.0ms	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
7.0ms	x

Results

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

Compiler

Compiled 85 to 62 computations (27.1% saved)

regimes9.0ms (0%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

1 calls:

6.0ms

Results

Error	Segments	Branch
0.6b	1	`x`

Compiler

Compiled 45 to 34 computations (24.4% saved)

regimes7.0ms (0%)

Accuracy

Total -0.2b remaining (-36.4%)

Threshold costs -0.2b (-36.4%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Error	Segments	Branch
0.6b	1	`x`

Compiler

Compiled 25 to 19 computations (24% saved)

simplify3.0ms (0%)

Stop Event

1×

done

Compiler

Compiled 51 to 38 computations (25.5% saved)

soundness0.0ms (0%)

end41.0ms (0.1%)

Compiler: Compiled 47 to 34 computations (27.7% saved)

Details

analyze4.0ms (0%)

sample1.1s (2.5%)

preprocess3.8s (8.8%)

simplify1.6s (3.6%)

eval1.0ms (0%)

prune1.0ms (0%)

localize20.0ms (0%)

series23.0ms (0.1%)

rewrite1.8s (4.2%)

simplify4.6s (10.6%)

localize24.0ms (0.1%)

series30.0ms (0.1%)

rewrite1.7s (4%)

simplify5.9s (13.5%)

eval402.0ms (0.9%)

prune103.0ms (0.2%)

localize16.0ms (0%)

series2.0ms (0%)

rewrite1.7s (3.9%)

simplify2.2s (5.1%)

localize10.0ms (0%)

localize33.0ms (0.1%)

series21.0ms (0%)

rewrite1.9s (4.4%)

simplify5.6s (12.8%)

eval275.0ms (0.6%)

prune120.0ms (0.3%)

localize22.0ms (0.1%)

series4.0ms (0%)

rewrite1.6s (3.6%)

simplify2.5s (5.6%)

localize33.0ms (0.1%)

series11.0ms (0%)

rewrite1.7s (3.9%)

simplify4.2s (9.6%)

eval413.0ms (0.9%)

prune78.0ms (0.2%)

regimes30.0ms (0.1%)

regimes32.0ms (0.1%)

regimes9.0ms (0%)

regimes7.0ms (0%)

simplify3.0ms (0%)

soundness0.0ms (0%)

end41.0ms (0.1%)

Profiling