Details

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 4 to 3 computations (25% saved)

sample3.3s (12.1%)

Results

3.2s

8256×

body

256

valid

Bogosity

preprocess9.0ms (0%)

Algorithm

2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	5
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(asinh.f64 x)

Outputs
(asinh.f64 x)

Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify352.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

4×	`rational_best-simplify-3`
4×	`rational_best-simplify-102`
2×	`rational_best-simplify-125`
2×	`rational_best-simplify-21`
2×	`rational_best-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	37
1	18	37
2	21	37
3	27	37
4	27	37

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 13 to 9 computations (30.8% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

45.8b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	45.8b	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)

Compiler

Compiled 13 to 9 computations (30.8% saved)

localize350.0ms (1.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))
✓	1.4b	(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1))))
✓	16.2b	(sqrt.f64 (+.f64 (*.f64 x x) 1))

Compiler

Compiled 50 to 24 computations (52% saved)

series30.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
25.0ms	x	@	-inf	(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1))))
2.0ms	x	@	0	(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1))))
1.0ms	x	@	inf	(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1))))
0.0ms	x	@	inf	(sqrt.f64 (+.f64 (*.f64 x x) 1))
0.0ms	x	@	0	(sqrt.f64 (+.f64 (*.f64 x x) 1))

rewrite238.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

794×	`rational_best-simplify-47`
646×	`rational_best-4`
646×	`rational_best-2`
646×	`rational_best-3`
646×	`rational_best-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	75
1	73	75
2	145	75
3	418	75
4	1622	75

Stop Event

1×	node limit

Counts

3 → 117

Calls

Call 1

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

Outputs
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Outputs

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simplify374.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1074×	`rational_best-simplify-57`
924×	`rational_best-simplify-48`
888×	`rational_best-simplify-51`
782×	`rational_best-simplify-65`
774×	`rational_best-simplify-3`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	373	5141
1	976	4829
2	2499	4665

Stop Event

1×	node limit

Counts

153 → 228

Calls

Call 1

Inputs
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)))))
x
(+.f64 (*.f64 1/2 (/.f64 1 x)) x)
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) x) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(*.f64 -1 x)
(-.f64 (.f64 -1 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 -1 x)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 -1 x)) (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/16 (/.f64 1 (pow.f64 x 5)))))
(log.f64 (+.f64 1 (fabs.f64 x)))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))) (log.f64 (+.f64 1 (fabs.f64 x))))
(+.f64 (.f64 -1/24 (.f64 (+.f64 (.f64 3 (/.f64 1 (+.f64 1 (fabs.f64 x)))) (.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)))) (pow.f64 x 4))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))) (log.f64 (+.f64 1 (fabs.f64 x)))))
(+.f64 (.f64 -1/24 (.f64 (+.f64 (.f64 3 (/.f64 1 (+.f64 1 (fabs.f64 x)))) (.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)))) (pow.f64 x 4))) (+.f64 (.f64 1/720 (.f64 (+.f64 (.f64 45 (/.f64 1 (+.f64 1 (fabs.f64 x)))) (+.f64 (.f64 30 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 3))) (.f64 45 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 2))))) (pow.f64 x 6))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))) (log.f64 (+.f64 1 (fabs.f64 x))))))
(*.f64 -1 (log.f64 (/.f64 1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 (fabs.f64 x) x))
(+.f64 (.f64 1/2 (/.f64 (+.f64 1 (.f64 -1 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 (fabs.f64 x) x)))
(+.f64 (.f64 1/6 (/.f64 (+.f64 (.f64 -3 (fabs.f64 x)) (.f64 2 (pow.f64 (fabs.f64 x) 3))) (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 (+.f64 1 (.f64 -1 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 (fabs.f64 x) x))))
(*.f64 -1 (log.f64 (/.f64 -1 x)))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (.f64 -1 (/.f64 (fabs.f64 x) x)))
(+.f64 (.f64 1/2 (/.f64 (+.f64 1 (.f64 -1 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (.f64 -1 (/.f64 (fabs.f64 x) x))))
(+.f64 (.f64 1/2 (/.f64 (+.f64 1 (.f64 -1 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (.f64 -1 (/.f64 (fabs.f64 x) x)) (.f64 -1/6 (/.f64 (+.f64 (.f64 2 (pow.f64 (fabs.f64 x) 3)) (*.f64 -3 (fabs.f64 x))) (pow.f64 x 3))))))
(+.f64 1 (fabs.f64 x))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (fabs.f64 x)))
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/8 (pow.f64 x 4)) (fabs.f64 x))))
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/16 (pow.f64 x 6)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (fabs.f64 x)))))
x
(+.f64 (fabs.f64 x) x)
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (fabs.f64 x) x))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (fabs.f64 x) x)) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(*.f64 -1 x)
(+.f64 (fabs.f64 x) (*.f64 -1 x))
(-.f64 (+.f64 (fabs.f64 x) (.f64 -1 x)) (.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (fabs.f64 x) (.f64 -1 x))) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) 0)
(+.f64 0 (sqrt.f64 (+.f64 (*.f64 x x) 1)))
(+.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) 2) (/.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) 2))
(+.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) 2) (neg.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) -2)))
(+.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) 4) (+.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) 4) (/.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) 2)))
(+.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) 4) (/.f64 (.f64 3 (/.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) 2)) 2))
(+.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) 4) (/.f64 (.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) 3) 4))
(-.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) 0)
(-.f64 0 (neg.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1))))
(-.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) 2) (/.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) -2))
(-.f64 (/.f64 (.f64 3 (/.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) 2)) 2) (/.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) -2) 2))
(-.f64 (/.f64 (.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) 3) 4) (/.f64 (neg.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1))) 4))
(.f64 1 (sqrt.f64 (+.f64 (.f64 x x) 1)))
(.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) 1)
(.f64 (neg.f64 (sqrt.f64 (+.f64 (.f64 x x) 1))) -1)
(.f64 (.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) 2) 1/2)
(.f64 1/2 (.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) 2))
(.f64 (.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) 4) 1/4)
(.f64 1/4 (.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) 4))
(.f64 (.f64 2 (.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) 4)) 1/8)
(.f64 (sqrt.f64 (+.f64 2 (.f64 x (+.f64 x x)))) (sqrt.f64 1/2))
(.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 2 (.f64 x (+.f64 x x)))))
(/.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) 1)
(/.f64 (neg.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1))) -1)
(/.f64 (.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) 2) 2)
(/.f64 (.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) 4) 4)
(/.f64 (.f64 2 (.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) 4)) 8)
(pow.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) 1)
(neg.f64 (neg.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1))))
(+.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) (fabs.f64 x))) 0)
(+.f64 0 (log.f64 (+.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) (fabs.f64 x))))
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(-.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) (fabs.f64 x)) 2) (/.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) (fabs.f64 x)) -2))
(-.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) (fabs.f64 x)) 2) (/.f64 (.f64 -2 (+.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) (fabs.f64 x))) 4))
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(/.f64 (-.f64 (.f64 (fabs.f64 x) 4) (neg.f64 (.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) 4))) 4)
(pow.f64 (+.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) (fabs.f64 x)) 1)
(neg.f64 (-.f64 (neg.f64 (fabs.f64 x)) (sqrt.f64 (+.f64 (*.f64 x x) 1))))

Outputs
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 (.f64 1/2 (pow.f64 x 2)) (+.f64 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 (+.f64 (.f64 -1/8 (pow.f64 x 4)) (.f64 1/16 (pow.f64 x 6))) (+.f64 1 (*.f64 1/2 (pow.f64 x 2))))
(+.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (+.f64 (.f64 -1/8 (pow.f64 x 4)) (*.f64 1/16 (pow.f64 x 6))))
(+.f64 1 (+.f64 (.f64 -1/8 (pow.f64 x 4)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 1/16 (pow.f64 x 6)))))
x
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(+.f64 x (/.f64 1/2 x))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) x) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 x (.f64 1 (/.f64 1/2 x))) (.f64 1 (/.f64 1/8 (pow.f64 x 3))))
(-.f64 (+.f64 x (/.f64 1/2 x)) (/.f64 1/8 (pow.f64 x 3)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 x (+.f64 (.f64 1 (/.f64 1/2 x)) (.f64 1 (/.f64 1/16 (pow.f64 x 5))))) (*.f64 1 (/.f64 1/8 (pow.f64 x 3))))
(-.f64 (+.f64 x (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5)))) (/.f64 1/8 (pow.f64 x 3)))
(*.f64 -1 x)
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(neg.f64 x)
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(-.f64 (neg.f64 x) (*.f64 1 (/.f64 1/2 x)))
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(-.f64 (+.f64 (.f64 1 (/.f64 1/8 (pow.f64 x 3))) (.f64 x -1)) (*.f64 1 (/.f64 1/2 x)))
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(.f64 (.f64 2 (.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) (fabs.f64 x)) 4)) 1/8)
(-.f64 (sqrt.f64 (+.f64 1 (*.f64 x x))) (neg.f64 (fabs.f64 x)))
(+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (*.f64 x x))))
(/.f64 (+.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) (fabs.f64 x)) 1)
(-.f64 (sqrt.f64 (+.f64 1 (*.f64 x x))) (neg.f64 (fabs.f64 x)))
(+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (*.f64 x x))))
(/.f64 (.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) (fabs.f64 x)) 2) 2)
(-.f64 (sqrt.f64 (+.f64 1 (*.f64 x x))) (neg.f64 (fabs.f64 x)))
(+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (*.f64 x x))))
(/.f64 (.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) (fabs.f64 x)) 4) 4)
(-.f64 (sqrt.f64 (+.f64 1 (*.f64 x x))) (neg.f64 (fabs.f64 x)))
(+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (*.f64 x x))))
(/.f64 (.f64 2 (.f64 (+.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) (fabs.f64 x)) 4)) 8)
(-.f64 (sqrt.f64 (+.f64 1 (*.f64 x x))) (neg.f64 (fabs.f64 x)))
(+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (*.f64 x x))))
(/.f64 (+.f64 (.f64 2 (.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) 4)) (.f64 2 (*.f64 (fabs.f64 x) 4))) 8)
(-.f64 (sqrt.f64 (+.f64 1 (*.f64 x x))) (neg.f64 (fabs.f64 x)))
(+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (*.f64 x x))))
(/.f64 (+.f64 (.f64 2 (.f64 (fabs.f64 x) 4)) (.f64 2 (.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) 4))) 8)
(-.f64 (sqrt.f64 (+.f64 1 (*.f64 x x))) (neg.f64 (fabs.f64 x)))
(+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (*.f64 x x))))
(/.f64 (-.f64 (.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) 4) (neg.f64 (*.f64 (fabs.f64 x) 4))) 4)
(-.f64 (sqrt.f64 (+.f64 1 (*.f64 x x))) (neg.f64 (fabs.f64 x)))
(+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (*.f64 x x))))
(/.f64 (-.f64 (.f64 (fabs.f64 x) 4) (neg.f64 (.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) 4))) 4)
(-.f64 (sqrt.f64 (+.f64 1 (*.f64 x x))) (neg.f64 (fabs.f64 x)))
(+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (*.f64 x x))))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) (fabs.f64 x)) 1)
(-.f64 (sqrt.f64 (+.f64 1 (*.f64 x x))) (neg.f64 (fabs.f64 x)))
(+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (*.f64 x x))))
(neg.f64 (-.f64 (neg.f64 (fabs.f64 x)) (sqrt.f64 (+.f64 (*.f64 x x) 1))))
(-.f64 (sqrt.f64 (+.f64 1 (*.f64 x x))) (neg.f64 (fabs.f64 x)))
(+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (*.f64 x x))))

eval461.0ms (1.7%)

Compiler: Compiled 4982 to 3229 computations (35.2% saved)

prune371.0ms (1.4%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	217	11	228
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	217	12	229

Error

27.9b

Counts

229 → 12

Alt Table

Click to see full alt table

Status	Error	Program
	57.4b	(copysign.f64 (-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (/.f64 (fabs.f64 x) x)) x)
	57.9b	(copysign.f64 (+.f64 (neg.f64 (log.f64 (/.f64 1 x))) (/.f64 (fabs.f64 x) x)) x)
	58.2b	(copysign.f64 (neg.f64 (log.f64 (/.f64 1 x))) x)
▶	57.8b	(copysign.f64 (neg.f64 (log.f64 (/.f64 -1 x))) x)
▶	45.8b	(copysign.f64 (log.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) (.f64 (fabs.f64 x) 1/2)) (*.f64 (fabs.f64 x) -1/2))) x)
▶	46.1b	(copysign.f64 (log.f64 (-.f64 (+.f64 (neg.f64 x) (fabs.f64 x)) (/.f64 1/2 x))) x)
	47.2b	(copysign.f64 (log.f64 (+.f64 (/.f64 1/2 x) (+.f64 x (fabs.f64 x)))) x)
▶	46.3b	(copysign.f64 (log.f64 (+.f64 (neg.f64 x) (fabs.f64 x))) x)
	45.9b	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (.f64 (sqrt.f64 (+.f64 2 (.f64 x (+.f64 x x)))) (sqrt.f64 1/2)))) x)
✓	45.8b	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)
	47.3b	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) x)) x)
▶	51.4b	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) x)

Compiler

Compiled 273 to 191 computations (30% saved)

localize131.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) (.f64 (fabs.f64 x) 1/2))
✓	0.0b	(-.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) (.f64 (fabs.f64 x) 1/2)) (*.f64 (fabs.f64 x) -1/2))
✓	1.4b	(log.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) (.f64 (fabs.f64 x) 1/2)) (*.f64 (fabs.f64 x) -1/2)))
	16.2b	(sqrt.f64 (+.f64 (*.f64 x x) 1))

Compiler

Compiled 92 to 51 computations (44.6% saved)

series23.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
17.0ms	x	@	inf	(log.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) (.f64 (fabs.f64 x) 1/2)) (*.f64 (fabs.f64 x) -1/2)))
3.0ms	x	@	0	(log.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) (.f64 (fabs.f64 x) 1/2)) (*.f64 (fabs.f64 x) -1/2)))
1.0ms	x	@	-inf	(log.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) (.f64 (fabs.f64 x) 1/2)) (*.f64 (fabs.f64 x) -1/2)))
0.0ms	x	@	inf	(-.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) (.f64 (fabs.f64 x) 1/2)) (*.f64 (fabs.f64 x) -1/2))
0.0ms	x	@	-inf	(-.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) (.f64 (fabs.f64 x) 1/2)) (*.f64 (fabs.f64 x) -1/2))

rewrite342.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1092×	`rational_best-simplify-63`
1088×	`rational_best-4`
1088×	`rational_best-2`
1088×	`rational_best-3`
1088×	`rational_best-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	16	135
1	109	135
2	219	99
3	645	91
4	2920	91

Stop Event

1×	node limit

Counts

3 → 122

Calls

Call 1

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

Inputs

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

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

(+.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) (*.f64 (fabs.f64 x) 1/2))

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

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simplify640.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1046×	`rational_best-simplify-1`
752×	`rational_best-simplify-47`
644×	`rational_best-simplify-108`
532×	`rational_best-simplify-3`
496×	`rational_best-simplify-59`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	350	6882
1	875	6256
2	2008	5838
3	7269	5724

Stop Event

1×	node limit

Counts

158 → 280

Calls

Call 1

Inputs
(log.f64 (-.f64 (+.f64 1 (.f64 1/2 (fabs.f64 x))) (.f64 -1/2 (fabs.f64 x))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 (+.f64 1 (.f64 1/2 (fabs.f64 x))) (.f64 -1/2 (fabs.f64 x))))) (log.f64 (-.f64 (+.f64 1 (.f64 1/2 (fabs.f64 x))) (*.f64 -1/2 (fabs.f64 x)))))
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(-.f64 (+.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) (/.f64 (fabs.f64 x) 4)) (neg.f64 (/.f64 (fabs.f64 x) 4)))
(-.f64 (-.f64 (.f64 (fabs.f64 x) 1/2) (-.f64 (.f64 (fabs.f64 x) 1/2) (sqrt.f64 (+.f64 (.f64 x x) 1)))) (.f64 (fabs.f64 x) -1/2))
(-.f64 (-.f64 (/.f64 (fabs.f64 x) 4) (neg.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)))) (neg.f64 (/.f64 (fabs.f64 x) 4)))
(.f64 1 (+.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) (*.f64 (fabs.f64 x) 1/2)))
(.f64 1/2 (+.f64 (fabs.f64 x) (.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) 2)))
(.f64 1/2 (+.f64 (.f64 (+.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) (fabs.f64 x)) 2) (neg.f64 (fabs.f64 x))))
(.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) (*.f64 (fabs.f64 x) 1/2)) 1)
(.f64 -1 (-.f64 (.f64 (fabs.f64 x) -1/2) (sqrt.f64 (+.f64 (*.f64 x x) 1))))
(.f64 (+.f64 (fabs.f64 x) (.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) 2)) 1/2)
(.f64 1/4 (.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) (.f64 (fabs.f64 x) 1/2)) 4))
(.f64 1/4 (+.f64 (.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) (fabs.f64 x)) 4) (.f64 (fabs.f64 x) -2)))
(.f64 (-.f64 (.f64 (fabs.f64 x) -1/2) (sqrt.f64 (+.f64 (*.f64 x x) 1))) -1)
(.f64 (.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) (.f64 (fabs.f64 x) 1/2)) 4) 1/4)
(/.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) (.f64 (fabs.f64 x) 1/2)) 1)
(/.f64 (+.f64 (fabs.f64 x) (.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) 2)) 2)
(/.f64 (-.f64 (.f64 (fabs.f64 x) -1/2) (sqrt.f64 (+.f64 (.f64 x x) 1))) -1)
(/.f64 (.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) (*.f64 (fabs.f64 x) 1/2)) 4) 4)
(/.f64 (.f64 (+.f64 (fabs.f64 x) (.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) 2)) 4) 8)
(/.f64 (-.f64 (.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) -2) (fabs.f64 x)) -2)
(/.f64 (-.f64 (.f64 (fabs.f64 x) -2) (.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) 4)) -4)
(/.f64 (-.f64 (.f64 (fabs.f64 x) 2) (neg.f64 (.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) 4))) 4)
(/.f64 (-.f64 (.f64 (fabs.f64 x) 2) (.f64 -2 (.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) 2))) 4)
(/.f64 (-.f64 (.f64 (.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) 2) 4) (.f64 (neg.f64 (fabs.f64 x)) 4)) 8)
(/.f64 (-.f64 (.f64 (fabs.f64 x) 2) (+.f64 (fabs.f64 x) (.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) -2))) 2)
(/.f64 (-.f64 (.f64 (.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) 2) 4) (+.f64 (.f64 (fabs.f64 x) -2) (.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) 4))) 4)
(/.f64 (-.f64 0 (-.f64 (.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) -2) (fabs.f64 x))) 2)
(/.f64 (-.f64 0 (-.f64 (.f64 (fabs.f64 x) -2) (.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) 4))) 4)
(pow.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) (.f64 (fabs.f64 x) 1/2)) 1)
(neg.f64 (-.f64 (.f64 (fabs.f64 x) -1/2) (sqrt.f64 (+.f64 (.f64 x x) 1))))
(neg.f64 (+.f64 (neg.f64 (fabs.f64 x)) (-.f64 (.f64 (fabs.f64 x) 1/2) (sqrt.f64 (+.f64 (.f64 x x) 1)))))

Outputs
(log.f64 (-.f64 (+.f64 1 (.f64 1/2 (fabs.f64 x))) (.f64 -1/2 (fabs.f64 x))))
(log.f64 (-.f64 (+.f64 1 (.f64 1/2 (fabs.f64 x))) (.f64 (fabs.f64 x) -1/2)))
(log.f64 (-.f64 (*.f64 (fabs.f64 x) 1) -1))
(log.f64 (+.f64 (fabs.f64 x) 1))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 (+.f64 1 (.f64 1/2 (fabs.f64 x))) (.f64 -1/2 (fabs.f64 x))))) (log.f64 (-.f64 (+.f64 1 (.f64 1/2 (fabs.f64 x))) (*.f64 -1/2 (fabs.f64 x)))))
(+.f64 (log.f64 (-.f64 (+.f64 1 (.f64 1/2 (fabs.f64 x))) (.f64 (fabs.f64 x) -1/2))) (.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 (+.f64 1 (.f64 1/2 (fabs.f64 x))) (*.f64 (fabs.f64 x) -1/2)))))
(+.f64 (log.f64 (-.f64 (.f64 (fabs.f64 x) 1) -1)) (.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 (*.f64 (fabs.f64 x) 1) -1))))
(+.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 (fabs.f64 x) 1))))
(+.f64 (.f64 -1/24 (.f64 (+.f64 (.f64 3 (/.f64 1 (pow.f64 (-.f64 (+.f64 1 (.f64 1/2 (fabs.f64 x))) (.f64 -1/2 (fabs.f64 x))) 2))) (.f64 3 (/.f64 1 (-.f64 (+.f64 1 (.f64 1/2 (fabs.f64 x))) (.f64 -1/2 (fabs.f64 x)))))) (pow.f64 x 4))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 (+.f64 1 (.f64 1/2 (fabs.f64 x))) (.f64 -1/2 (fabs.f64 x))))) (log.f64 (-.f64 (+.f64 1 (.f64 1/2 (fabs.f64 x))) (*.f64 -1/2 (fabs.f64 x))))))
(+.f64 (log.f64 (-.f64 (+.f64 1 (.f64 1/2 (fabs.f64 x))) (.f64 (fabs.f64 x) -1/2))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 (+.f64 1 (.f64 1/2 (fabs.f64 x))) (.f64 (fabs.f64 x) -1/2)))) (.f64 (pow.f64 x 4) (.f64 (+.f64 (.f64 1 (/.f64 3 (pow.f64 (-.f64 (+.f64 1 (.f64 1/2 (fabs.f64 x))) (.f64 (fabs.f64 x) -1/2)) 2))) (.f64 1 (/.f64 3 (-.f64 (+.f64 1 (.f64 1/2 (fabs.f64 x))) (*.f64 (fabs.f64 x) -1/2))))) -1/24))))
(+.f64 (log.f64 (-.f64 (.f64 (fabs.f64 x) 1) -1)) (+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 (.f64 (fabs.f64 x) 1) -1))) (.f64 (.f64 3 (+.f64 (/.f64 1 (-.f64 (.f64 (fabs.f64 x) 1) -1)) (/.f64 1 (pow.f64 (-.f64 (.f64 (fabs.f64 x) 1) -1) 2)))) (.f64 (pow.f64 x 4) -1/24))))
(+.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) (+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 (fabs.f64 x) 1))) (.f64 (+.f64 (/.f64 3 (pow.f64 (+.f64 (fabs.f64 x) 1) 2)) (/.f64 3 (+.f64 (fabs.f64 x) 1))) (*.f64 -1/24 (pow.f64 x 4)))))
(+.f64 (.f64 -1/24 (.f64 (+.f64 (.f64 3 (/.f64 1 (pow.f64 (-.f64 (+.f64 1 (.f64 1/2 (fabs.f64 x))) (.f64 -1/2 (fabs.f64 x))) 2))) (.f64 3 (/.f64 1 (-.f64 (+.f64 1 (.f64 1/2 (fabs.f64 x))) (.f64 -1/2 (fabs.f64 x)))))) (pow.f64 x 4))) (+.f64 (.f64 1/720 (.f64 (+.f64 (.f64 45 (/.f64 1 (-.f64 (+.f64 1 (.f64 1/2 (fabs.f64 x))) (.f64 -1/2 (fabs.f64 x))))) (+.f64 (.f64 45 (/.f64 1 (pow.f64 (-.f64 (+.f64 1 (.f64 1/2 (fabs.f64 x))) (.f64 -1/2 (fabs.f64 x))) 2))) (.f64 30 (/.f64 1 (pow.f64 (-.f64 (+.f64 1 (.f64 1/2 (fabs.f64 x))) (.f64 -1/2 (fabs.f64 x))) 3))))) (pow.f64 x 6))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 (+.f64 1 (.f64 1/2 (fabs.f64 x))) (.f64 -1/2 (fabs.f64 x))))) (log.f64 (-.f64 (+.f64 1 (.f64 1/2 (fabs.f64 x))) (.f64 -1/2 (fabs.f64 x)))))))
(+.f64 (+.f64 (log.f64 (-.f64 (+.f64 1 (.f64 1/2 (fabs.f64 x))) (.f64 (fabs.f64 x) -1/2))) (.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 (+.f64 1 (.f64 1/2 (fabs.f64 x))) (.f64 (fabs.f64 x) -1/2))))) (+.f64 (.f64 (pow.f64 x 6) (.f64 (+.f64 (.f64 1 (/.f64 45 (-.f64 (+.f64 1 (.f64 1/2 (fabs.f64 x))) (.f64 (fabs.f64 x) -1/2)))) (+.f64 (.f64 1 (/.f64 45 (pow.f64 (-.f64 (+.f64 1 (.f64 1/2 (fabs.f64 x))) (.f64 (fabs.f64 x) -1/2)) 2))) (.f64 1 (/.f64 30 (pow.f64 (-.f64 (+.f64 1 (.f64 1/2 (fabs.f64 x))) (.f64 (fabs.f64 x) -1/2)) 3))))) 1/720)) (.f64 (pow.f64 x 4) (.f64 (+.f64 (.f64 1 (/.f64 3 (pow.f64 (-.f64 (+.f64 1 (.f64 1/2 (fabs.f64 x))) (.f64 (fabs.f64 x) -1/2)) 2))) (.f64 1 (/.f64 3 (-.f64 (+.f64 1 (.f64 1/2 (fabs.f64 x))) (.f64 (fabs.f64 x) -1/2))))) -1/24))))
(+.f64 (.f64 (+.f64 (.f64 1 (/.f64 30 (pow.f64 (-.f64 (.f64 (fabs.f64 x) 1) -1) 3))) (.f64 45 (+.f64 (/.f64 1 (pow.f64 (-.f64 (.f64 (fabs.f64 x) 1) -1) 2)) (/.f64 1 (-.f64 (.f64 (fabs.f64 x) 1) -1))))) (.f64 (pow.f64 x 6) 1/720)) (+.f64 (log.f64 (-.f64 (.f64 (fabs.f64 x) 1) -1)) (+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (-.f64 (.f64 (fabs.f64 x) 1) -1))) (.f64 (.f64 3 (+.f64 (/.f64 1 (-.f64 (.f64 (fabs.f64 x) 1) -1)) (/.f64 1 (pow.f64 (-.f64 (.f64 (fabs.f64 x) 1) -1) 2)))) (*.f64 (pow.f64 x 4) -1/24)))))
(+.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) (+.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 (fabs.f64 x) 1))) (.f64 (+.f64 (/.f64 45 (+.f64 (fabs.f64 x) 1)) (+.f64 (/.f64 45 (pow.f64 (+.f64 (fabs.f64 x) 1) 2)) (/.f64 30 (pow.f64 (+.f64 (fabs.f64 x) 1) 3)))) (.f64 1/720 (pow.f64 x 6)))) (.f64 (+.f64 (/.f64 3 (pow.f64 (+.f64 (fabs.f64 x) 1) 2)) (/.f64 3 (+.f64 (fabs.f64 x) 1))) (*.f64 -1/24 (pow.f64 x 4)))))
(*.f64 -1 (log.f64 (/.f64 1 x)))
(neg.f64 (log.f64 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (fabs.f64 x) x)) (.f64 -1 (log.f64 (/.f64 1 x)))) (*.f64 -1/2 (/.f64 (fabs.f64 x) x)))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 1/2 (/.f64 (fabs.f64 x) x))) (*.f64 (fabs.f64 x) (/.f64 -1/2 x)))
(-.f64 (+.f64 (neg.f64 (log.f64 (/.f64 1 x))) (.f64 1/2 (/.f64 (fabs.f64 x) x))) (.f64 (fabs.f64 x) (/.f64 -1/2 x)))
(-.f64 (+.f64 (neg.f64 (log.f64 (/.f64 1 x))) (.f64 (fabs.f64 x) (/.f64 1/2 x))) (.f64 (fabs.f64 x) (/.f64 -1/2 x)))
(-.f64 (/.f64 (fabs.f64 x) x) (log.f64 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (fabs.f64 x) x)) (+.f64 (.f64 1/2 (/.f64 (+.f64 1 (.f64 -1 (pow.f64 (-.f64 (.f64 1/2 (fabs.f64 x)) (.f64 -1/2 (fabs.f64 x))) 2))) (pow.f64 x 2))) (.f64 -1 (log.f64 (/.f64 1 x))))) (*.f64 -1/2 (/.f64 (fabs.f64 x) x)))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (.f64 (+.f64 1 (.f64 -1 (pow.f64 (-.f64 (.f64 1/2 (fabs.f64 x)) (.f64 (fabs.f64 x) -1/2)) 2))) (/.f64 1/2 (pow.f64 x 2))) (.f64 1/2 (/.f64 (fabs.f64 x) x)))) (*.f64 (fabs.f64 x) (/.f64 -1/2 x)))
(-.f64 (+.f64 (neg.f64 (log.f64 (/.f64 1 x))) (.f64 1/2 (+.f64 (/.f64 (+.f64 1 (neg.f64 (pow.f64 (.f64 (fabs.f64 x) 1) 2))) (pow.f64 x 2)) (/.f64 (fabs.f64 x) x)))) (*.f64 (fabs.f64 x) (/.f64 -1/2 x)))
(-.f64 (+.f64 (neg.f64 (log.f64 (/.f64 1 x))) (.f64 1/2 (+.f64 (/.f64 (fabs.f64 x) x) (/.f64 (+.f64 1 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2))))) (.f64 (fabs.f64 x) (/.f64 -1/2 x)))
(-.f64 (/.f64 (fabs.f64 x) x) (neg.f64 (-.f64 (*.f64 (+.f64 1 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (/.f64 1/2 (pow.f64 x 2))) (log.f64 (/.f64 1 x)))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (fabs.f64 x) x)) (+.f64 (.f64 1/2 (/.f64 (+.f64 1 (.f64 -1 (pow.f64 (-.f64 (.f64 1/2 (fabs.f64 x)) (.f64 -1/2 (fabs.f64 x))) 2))) (pow.f64 x 2))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 1/6 (/.f64 (+.f64 (.f64 -3 (-.f64 (.f64 1/2 (fabs.f64 x)) (.f64 -1/2 (fabs.f64 x)))) (.f64 2 (pow.f64 (-.f64 (.f64 1/2 (fabs.f64 x)) (.f64 -1/2 (fabs.f64 x))) 3))) (pow.f64 x 3)))))) (.f64 -1/2 (/.f64 (fabs.f64 x) x)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (fabs.f64 x) x)) (+.f64 (.f64 1/6 (/.f64 (+.f64 (.f64 (-.f64 (.f64 1/2 (fabs.f64 x)) (.f64 (fabs.f64 x) -1/2)) -3) (.f64 2 (pow.f64 (-.f64 (.f64 1/2 (fabs.f64 x)) (.f64 (fabs.f64 x) -1/2)) 3))) (pow.f64 x 3))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 (+.f64 1 (.f64 -1 (pow.f64 (-.f64 (.f64 1/2 (fabs.f64 x)) (.f64 (fabs.f64 x) -1/2)) 2))) (/.f64 1/2 (pow.f64 x 2)))))) (.f64 (fabs.f64 x) (/.f64 -1/2 x)))
(-.f64 (+.f64 (+.f64 (neg.f64 (log.f64 (/.f64 1 x))) (.f64 1/6 (/.f64 (+.f64 (.f64 (.f64 (fabs.f64 x) 1) -3) (.f64 2 (pow.f64 (.f64 (fabs.f64 x) 1) 3))) (pow.f64 x 3)))) (.f64 1/2 (+.f64 (/.f64 (+.f64 1 (neg.f64 (pow.f64 (.f64 (fabs.f64 x) 1) 2))) (pow.f64 x 2)) (/.f64 (fabs.f64 x) x)))) (.f64 (fabs.f64 x) (/.f64 -1/2 x)))
(-.f64 (+.f64 (+.f64 (neg.f64 (log.f64 (/.f64 1 x))) (.f64 1/6 (/.f64 (+.f64 (.f64 (fabs.f64 x) -3) (.f64 2 (pow.f64 (fabs.f64 x) 3))) (pow.f64 x 3)))) (.f64 1/2 (+.f64 (/.f64 (fabs.f64 x) x) (/.f64 (+.f64 1 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2))))) (*.f64 (fabs.f64 x) (/.f64 -1/2 x)))
(-.f64 (/.f64 (fabs.f64 x) x) (neg.f64 (+.f64 (.f64 (+.f64 1 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (/.f64 1/2 (pow.f64 x 2))) (-.f64 (.f64 1/6 (/.f64 (+.f64 (.f64 (fabs.f64 x) -3) (.f64 2 (pow.f64 (fabs.f64 x) 3))) (pow.f64 x 3))) (log.f64 (/.f64 1 x))))))
(*.f64 -1 (log.f64 (/.f64 -1 x)))
(neg.f64 (log.f64 (/.f64 -1 x)))
(+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 1/2 (fabs.f64 x)) (.f64 -1/2 (fabs.f64 x))) x)) (.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (.f64 -1 (/.f64 (-.f64 (.f64 1/2 (fabs.f64 x)) (.f64 (fabs.f64 x) -1/2)) x)))
(.f64 -1 (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 (.f64 (fabs.f64 x) 1) x)))
(-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (/.f64 (fabs.f64 x) x))
(neg.f64 (+.f64 (/.f64 (fabs.f64 x) x) (log.f64 (/.f64 -1 x))))
(+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 1/2 (fabs.f64 x)) (.f64 -1/2 (fabs.f64 x))) x)) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (.f64 1/2 (/.f64 (+.f64 1 (.f64 -1 (pow.f64 (-.f64 (.f64 1/2 (fabs.f64 x)) (.f64 -1/2 (fabs.f64 x))) 2))) (pow.f64 x 2)))))
(+.f64 (.f64 (+.f64 1 (.f64 -1 (pow.f64 (-.f64 (.f64 1/2 (fabs.f64 x)) (.f64 (fabs.f64 x) -1/2)) 2))) (/.f64 1/2 (pow.f64 x 2))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (.f64 -1 (/.f64 (-.f64 (.f64 1/2 (fabs.f64 x)) (.f64 (fabs.f64 x) -1/2)) x))))
(+.f64 (.f64 (+.f64 1 (neg.f64 (pow.f64 (.f64 (fabs.f64 x) 1) 2))) (/.f64 1/2 (pow.f64 x 2))) (.f64 -1 (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 (.f64 (fabs.f64 x) 1) x))))
(+.f64 (*.f64 (+.f64 1 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (/.f64 1/2 (pow.f64 x 2))) (-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (/.f64 (fabs.f64 x) x)))
(-.f64 (*.f64 (+.f64 1 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (/.f64 1/2 (pow.f64 x 2))) (+.f64 (/.f64 (fabs.f64 x) x) (log.f64 (/.f64 -1 x))))
(+.f64 (.f64 -1/6 (/.f64 (+.f64 (.f64 -3 (-.f64 (.f64 1/2 (fabs.f64 x)) (.f64 -1/2 (fabs.f64 x)))) (.f64 2 (pow.f64 (-.f64 (.f64 1/2 (fabs.f64 x)) (.f64 -1/2 (fabs.f64 x))) 3))) (pow.f64 x 3))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 1/2 (fabs.f64 x)) (.f64 -1/2 (fabs.f64 x))) x)) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (.f64 1/2 (/.f64 (+.f64 1 (.f64 -1 (pow.f64 (-.f64 (.f64 1/2 (fabs.f64 x)) (*.f64 -1/2 (fabs.f64 x))) 2))) (pow.f64 x 2))))))
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(-.f64 (+.f64 1 (.f64 1/2 (fabs.f64 x))) (.f64 -1/2 (fabs.f64 x)))
(-.f64 (+.f64 1 (.f64 1/2 (fabs.f64 x))) (.f64 (fabs.f64 x) -1/2))
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(.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) (*.f64 (fabs.f64 x) 1/2)) 1)
(-.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) (.f64 (fabs.f64 x) -1/2))
(+.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) (.f64 1/2 (fabs.f64 x)))
(.f64 -1 (-.f64 (.f64 (fabs.f64 x) -1/2) (sqrt.f64 (+.f64 (*.f64 x x) 1))))
(-.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) (.f64 (fabs.f64 x) -1/2))
(+.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) (.f64 1/2 (fabs.f64 x)))
(.f64 (+.f64 (fabs.f64 x) (.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) 2)) 1/2)
(-.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) (.f64 (fabs.f64 x) -1/2))
(+.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) (.f64 1/2 (fabs.f64 x)))
(.f64 1/4 (.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) (.f64 (fabs.f64 x) 1/2)) 4))
(-.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) (.f64 (fabs.f64 x) -1/2))
(+.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) (.f64 1/2 (fabs.f64 x)))
(.f64 1/4 (+.f64 (.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) (fabs.f64 x)) 4) (.f64 (fabs.f64 x) -2)))
(-.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) (.f64 (fabs.f64 x) -1/2))
(+.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) (.f64 1/2 (fabs.f64 x)))
(.f64 (-.f64 (.f64 (fabs.f64 x) -1/2) (sqrt.f64 (+.f64 (*.f64 x x) 1))) -1)
(-.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) (.f64 (fabs.f64 x) -1/2))
(+.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) (.f64 1/2 (fabs.f64 x)))
(.f64 (.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) (.f64 (fabs.f64 x) 1/2)) 4) 1/4)
(-.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) (.f64 (fabs.f64 x) -1/2))
(+.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) (.f64 1/2 (fabs.f64 x)))
(/.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) (.f64 (fabs.f64 x) 1/2)) 1)
(-.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) (.f64 (fabs.f64 x) -1/2))
(+.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) (.f64 1/2 (fabs.f64 x)))
(/.f64 (+.f64 (fabs.f64 x) (.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) 2)) 2)
(-.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) (.f64 (fabs.f64 x) -1/2))
(+.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) (.f64 1/2 (fabs.f64 x)))
(/.f64 (-.f64 (.f64 (fabs.f64 x) -1/2) (sqrt.f64 (+.f64 (.f64 x x) 1))) -1)
(-.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) (.f64 (fabs.f64 x) -1/2))
(+.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) (.f64 1/2 (fabs.f64 x)))
(/.f64 (.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) (*.f64 (fabs.f64 x) 1/2)) 4) 4)
(-.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) (.f64 (fabs.f64 x) -1/2))
(+.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) (.f64 1/2 (fabs.f64 x)))
(/.f64 (.f64 (+.f64 (fabs.f64 x) (.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) 2)) 4) 8)
(-.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) (.f64 (fabs.f64 x) -1/2))
(+.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) (.f64 1/2 (fabs.f64 x)))
(/.f64 (-.f64 (.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) -2) (fabs.f64 x)) -2)
(-.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) (.f64 (fabs.f64 x) -1/2))
(+.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) (.f64 1/2 (fabs.f64 x)))
(/.f64 (-.f64 (.f64 (fabs.f64 x) -2) (.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) 4)) -4)
(-.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) (.f64 (fabs.f64 x) -1/2))
(+.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) (.f64 1/2 (fabs.f64 x)))
(/.f64 (-.f64 (.f64 (fabs.f64 x) 2) (neg.f64 (.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) 4))) 4)
(-.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) (.f64 (fabs.f64 x) -1/2))
(+.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) (.f64 1/2 (fabs.f64 x)))
(/.f64 (-.f64 (.f64 (fabs.f64 x) 2) (.f64 -2 (.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) 2))) 4)
(-.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) (.f64 (fabs.f64 x) -1/2))
(+.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) (.f64 1/2 (fabs.f64 x)))
(/.f64 (-.f64 (.f64 (.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) 2) 4) (.f64 (neg.f64 (fabs.f64 x)) 4)) 8)
(-.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) (.f64 (fabs.f64 x) -1/2))
(+.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) (.f64 1/2 (fabs.f64 x)))
(/.f64 (-.f64 (.f64 (fabs.f64 x) 2) (+.f64 (fabs.f64 x) (.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) -2))) 2)
(-.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) (.f64 (fabs.f64 x) -1/2))
(+.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) (.f64 1/2 (fabs.f64 x)))
(/.f64 (-.f64 (.f64 (.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) 2) 4) (+.f64 (.f64 (fabs.f64 x) -2) (.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) 4))) 4)
(-.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) (.f64 (fabs.f64 x) -1/2))
(+.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) (.f64 1/2 (fabs.f64 x)))
(/.f64 (-.f64 0 (-.f64 (.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) -2) (fabs.f64 x))) 2)
(-.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) (.f64 (fabs.f64 x) -1/2))
(+.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) (.f64 1/2 (fabs.f64 x)))
(/.f64 (-.f64 0 (-.f64 (.f64 (fabs.f64 x) -2) (.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) 4))) 4)
(-.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) (.f64 (fabs.f64 x) -1/2))
(+.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) (.f64 1/2 (fabs.f64 x)))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) (.f64 (fabs.f64 x) 1/2)) 1)
(-.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) (.f64 (fabs.f64 x) -1/2))
(+.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) (.f64 1/2 (fabs.f64 x)))
(neg.f64 (-.f64 (.f64 (fabs.f64 x) -1/2) (sqrt.f64 (+.f64 (.f64 x x) 1))))
(-.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) (.f64 (fabs.f64 x) -1/2))
(+.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) (.f64 1/2 (fabs.f64 x)))
(neg.f64 (+.f64 (neg.f64 (fabs.f64 x)) (-.f64 (.f64 (fabs.f64 x) 1/2) (sqrt.f64 (+.f64 (.f64 x x) 1)))))
(-.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) (.f64 (fabs.f64 x) -1/2))
(+.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) (.f64 1/2 (fabs.f64 x)))

localize67.0ms (0.2%)

Compiler: Compiled 22 to 16 computations (27.3% saved)

localize64.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	1.4b	(log.f64 (+.f64 (fabs.f64 x) 1))

Compiler

Compiled 21 to 12 computations (42.9% saved)

series218.0ms (0.8%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
96.0ms	x	@	0	(log.f64 (+.f64 (fabs.f64 x) 1))
70.0ms	x	@	inf	(log.f64 (+.f64 (fabs.f64 x) 1))
52.0ms	x	@	-inf	(log.f64 (+.f64 (fabs.f64 x) 1))

rewrite308.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1752×	`rational_best-4`
1752×	`rational_best-2`
1752×	`rational_best-3`
1752×	`rational_best-1`
560×	`rational_best-simplify-83`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	54	15
2	107	15
3	271	15
4	879	15
5	5236	15

Stop Event

1×	node limit

Counts

1 → 26

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (+.f64 (fabs.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 2) (/.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 4) (+.f64 (/.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 4) (/.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 4) (/.f64 (/.f64 (*.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 3) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 4) (/.f64 (*.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 3) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 2) (/.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 4) (/.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 2)) (-.f64 0 (/.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 (*.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 3) 2) 2) (/.f64 (/.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 3) 4) (/.f64 (neg.f64 (log.f64 (+.f64 (fabs.f64 x) 1))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (+.f64 (fabs.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 4)) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 4)) (*.f64 2 (*.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 1)))))

simplify464.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1262×	`rational_best-simplify-51`
1002×	`rational_best-simplify-57`
994×	`rational_best-simplify-1`
960×	`rational_best-simplify-64`
874×	`rational_best-simplify-50`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	570
1	135	570
2	369	570
3	1757	570
4	7862	570

Stop Event

1×	node limit

Counts

38 → 27

Calls

Call 1

Inputs
(log.f64 (+.f64 1 (fabs.f64 x)))
(log.f64 (+.f64 1 (fabs.f64 x)))
(log.f64 (+.f64 1 (fabs.f64 x)))
(log.f64 (+.f64 1 (fabs.f64 x)))
(log.f64 (+.f64 1 (fabs.f64 x)))
(log.f64 (+.f64 1 (fabs.f64 x)))
(log.f64 (+.f64 1 (fabs.f64 x)))
(log.f64 (+.f64 1 (fabs.f64 x)))
(log.f64 (+.f64 1 (fabs.f64 x)))
(log.f64 (+.f64 1 (fabs.f64 x)))
(log.f64 (+.f64 1 (fabs.f64 x)))
(log.f64 (+.f64 1 (fabs.f64 x)))
(+.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 0)
(+.f64 0 (log.f64 (+.f64 (fabs.f64 x) 1)))
(+.f64 (/.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 2) (/.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 2))
(+.f64 (/.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 4) (+.f64 (/.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 4) (/.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 2)))
(+.f64 (/.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 4) (/.f64 (/.f64 (*.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 3) 2) 2))
(+.f64 (/.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 4) (/.f64 (*.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 3) 4))
(-.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 0)
(-.f64 (/.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 2) (/.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) -2))
(-.f64 (+.f64 (/.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 4) (/.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 2)) (-.f64 0 (/.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 4)))
(-.f64 (/.f64 (/.f64 (*.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 3) 2) 2) (/.f64 (/.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) -2) 2))
(-.f64 (/.f64 (*.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 3) 4) (/.f64 (neg.f64 (log.f64 (+.f64 (fabs.f64 x) 1))) 4))
(*.f64 1 (log.f64 (+.f64 (fabs.f64 x) 1)))
(*.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 1)
(*.f64 2 (/.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 2))
(.f64 2 (.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 1/2))
(.f64 (.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 2) 1/2)
(.f64 1/2 (.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 2))
(.f64 (.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 4) 1/4)
(.f64 1/4 (.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 4))
(.f64 (.f64 2 (*.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 4)) 1/8)
(/.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 1)
(/.f64 (*.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 2) 2)
(/.f64 (*.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 4) 4)
(/.f64 (.f64 2 (.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 4)) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 4)) (.f64 2 (.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 4))) 16)
(pow.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 1)

Outputs
(log.f64 (+.f64 1 (fabs.f64 x)))
(log.f64 (+.f64 1 (fabs.f64 x)))
(log.f64 (+.f64 1 (fabs.f64 x)))
(log.f64 (+.f64 1 (fabs.f64 x)))
(log.f64 (+.f64 1 (fabs.f64 x)))
(log.f64 (+.f64 1 (fabs.f64 x)))
(log.f64 (+.f64 1 (fabs.f64 x)))
(log.f64 (+.f64 1 (fabs.f64 x)))
(log.f64 (+.f64 1 (fabs.f64 x)))
(log.f64 (+.f64 1 (fabs.f64 x)))
(log.f64 (+.f64 1 (fabs.f64 x)))
(log.f64 (+.f64 1 (fabs.f64 x)))
(+.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 0)
(log.f64 (+.f64 1 (fabs.f64 x)))
(+.f64 0 (log.f64 (+.f64 (fabs.f64 x) 1)))
(log.f64 (+.f64 1 (fabs.f64 x)))
(+.f64 (/.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 2) (/.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 2))
(log.f64 (+.f64 1 (fabs.f64 x)))
(+.f64 (/.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 4) (+.f64 (/.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 4) (/.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 2)))
(log.f64 (+.f64 1 (fabs.f64 x)))
(+.f64 (/.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 4) (/.f64 (/.f64 (*.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 3) 2) 2))
(log.f64 (+.f64 1 (fabs.f64 x)))
(+.f64 (/.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 4) (/.f64 (*.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 3) 4))
(log.f64 (+.f64 1 (fabs.f64 x)))
(-.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 0)
(log.f64 (+.f64 1 (fabs.f64 x)))
(-.f64 (/.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 2) (/.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) -2))
(log.f64 (+.f64 1 (fabs.f64 x)))
(-.f64 (+.f64 (/.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 4) (/.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 2)) (-.f64 0 (/.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 4)))
(log.f64 (+.f64 1 (fabs.f64 x)))
(-.f64 (/.f64 (/.f64 (*.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 3) 2) 2) (/.f64 (/.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) -2) 2))
(log.f64 (+.f64 1 (fabs.f64 x)))
(-.f64 (/.f64 (*.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 3) 4) (/.f64 (neg.f64 (log.f64 (+.f64 (fabs.f64 x) 1))) 4))
(log.f64 (+.f64 1 (fabs.f64 x)))
(*.f64 1 (log.f64 (+.f64 (fabs.f64 x) 1)))
(log.f64 (+.f64 1 (fabs.f64 x)))
(*.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 1)
(log.f64 (+.f64 1 (fabs.f64 x)))
(*.f64 2 (/.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 2))
(log.f64 (+.f64 1 (fabs.f64 x)))
(.f64 2 (.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 1/2))
(log.f64 (+.f64 1 (fabs.f64 x)))
(.f64 (.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 2) 1/2)
(log.f64 (+.f64 1 (fabs.f64 x)))
(.f64 1/2 (.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 2))
(log.f64 (+.f64 1 (fabs.f64 x)))
(.f64 (.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 4) 1/4)
(log.f64 (+.f64 1 (fabs.f64 x)))
(.f64 1/4 (.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 4))
(log.f64 (+.f64 1 (fabs.f64 x)))
(.f64 (.f64 2 (*.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 4)) 1/8)
(log.f64 (+.f64 1 (fabs.f64 x)))
(/.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 1)
(log.f64 (+.f64 1 (fabs.f64 x)))
(/.f64 (*.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 2) 2)
(log.f64 (+.f64 1 (fabs.f64 x)))
(/.f64 (*.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 4) 4)
(log.f64 (+.f64 1 (fabs.f64 x)))
(/.f64 (.f64 2 (.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 4)) 8)
(log.f64 (+.f64 1 (fabs.f64 x)))
(/.f64 (+.f64 (.f64 2 (.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 4)) (.f64 2 (.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 4))) 16)
(log.f64 (+.f64 1 (fabs.f64 x)))
(pow.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) 1)
(log.f64 (+.f64 1 (fabs.f64 x)))

localize57.0ms (0.2%)

Compiler: Compiled 25 to 6 computations (76% saved)

localize72.0ms (0.3%)

Compiler: Compiled 46 to 19 computations (58.7% saved)

eval741.0ms (2.8%)

Compiler: Compiled 8769 to 5809 computations (33.8% saved)

prune484.0ms (1.8%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	366	6	372
Fresh	2	4	6
Picked	1	0	1
Done	3	2	5
Total	372	12	384

Error

27.9b

Counts

384 → 12

Alt Table

Click to see full alt table

Status	Error	Program
▶	57.9b	(copysign.f64 (-.f64 (/.f64 (fabs.f64 x) x) (log.f64 (/.f64 1 x))) x)
	57.4b	(copysign.f64 (-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (/.f64 (fabs.f64 x) x)) x)
	46.1b	(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) (+.f64 x (/.f64 1/2 x)))) x)
	46.3b	(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x)
▶	47.2b	(copysign.f64 (log.f64 (+.f64 (/.f64 1/2 x) (+.f64 x (fabs.f64 x)))) x)
▶	45.8b	(copysign.f64 (log.f64 (+.f64 (+.f64 (fabs.f64 x) 1) (+.f64 (sqrt.f64 (+.f64 1 (*.f64 x x))) -1))) x)
	45.9b	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (.f64 (sqrt.f64 (+.f64 2 (.f64 x (+.f64 x x)))) (sqrt.f64 1/2)))) x)
✓	45.8b	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)
▶	47.3b	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) x)) x)
✓	51.4b	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) x)
	57.8b	(copysign.f64 (log.f64 (neg.f64 x)) x)
▶	58.2b	(copysign.f64 (log.f64 x) x)

Compiler

Compiled 243 to 167 computations (31.3% saved)

localize152.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (+.f64 (fabs.f64 x) 1) (+.f64 (sqrt.f64 (+.f64 1 (*.f64 x x))) -1))
✓	1.1b	(+.f64 (sqrt.f64 (+.f64 1 (*.f64 x x))) -1)
✓	1.4b	(log.f64 (+.f64 (+.f64 (fabs.f64 x) 1) (+.f64 (sqrt.f64 (+.f64 1 (*.f64 x x))) -1)))
✓	16.2b	(sqrt.f64 (+.f64 1 (*.f64 x x)))

Compiler

Compiled 75 to 44 computations (41.3% saved)

series14.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
11.0ms	x	@	inf	(+.f64 (+.f64 (fabs.f64 x) 1) (+.f64 (sqrt.f64 (+.f64 1 (*.f64 x x))) -1))
0.0ms	x	@	0	(log.f64 (+.f64 (+.f64 (fabs.f64 x) 1) (+.f64 (sqrt.f64 (+.f64 1 (*.f64 x x))) -1)))
0.0ms	x	@	0	(+.f64 (sqrt.f64 (+.f64 1 (*.f64 x x))) -1)
0.0ms	x	@	-inf	(log.f64 (+.f64 (+.f64 (fabs.f64 x) 1) (+.f64 (sqrt.f64 (+.f64 1 (*.f64 x x))) -1)))
0.0ms	x	@	inf	(log.f64 (+.f64 (+.f64 (fabs.f64 x) 1) (+.f64 (sqrt.f64 (+.f64 1 (*.f64 x x))) -1)))

rewrite367.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1458×	`rational_best-simplify-51`
1198×	`rational_best-4`
1198×	`rational_best-2`
1198×	`rational_best-3`
1198×	`rational_best-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	122
1	98	122
2	197	98
3	631	98
4	2806	98

Stop Event

1×	node limit

Counts

4 → 136

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 1 (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (+.f64 1 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (.f64 x x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) 2) (/.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) 2) -1/2) (+.f64 1 (+.f64 (/.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) 2) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (+.f64 (/.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) 2) -1/2)) (+.f64 (/.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) 2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1 (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (sqrt.f64 (+.f64 1 (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) 2) (/.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (+.f64 1 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 1 (.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (sqrt.f64 (+.f64 1 (.f64 x x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) 2)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 2 (.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 2 (.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) 2)) (.f64 2 (.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) 2))) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 2 (.f64 x (+.f64 x x)))) (sqrt.f64 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 2 (.f64 x (+.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 (+.f64 1 (.f64 x x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) 2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) 2)) (.f64 2 (.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) 2))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (sqrt.f64 (+.f64 1 (*.f64 x x)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) (fabs.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) (fabs.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) (fabs.f64 x))) 2) (/.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) (fabs.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) (fabs.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) (fabs.f64 x))) 2) (/.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) (fabs.f64 x))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) (fabs.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) (fabs.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) (fabs.f64 x))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) (fabs.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) (fabs.f64 x))) 2)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 2 (.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) (fabs.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 2 (.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) (fabs.f64 x))) 2)) (.f64 2 (.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) (fabs.f64 x))) 2))) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) (fabs.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) (fabs.f64 x))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) (fabs.f64 x))) 2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) (fabs.f64 x))) 2)) (.f64 2 (.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) (fabs.f64 x))) 2))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 (*.f64 x x))) (fabs.f64 x))) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1 (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) -1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 1 (sqrt.f64 (+.f64 1 (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) -2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) 2) -1/2) (-.f64 1/2 (/.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 1 (sqrt.f64 (+.f64 1 (.f64 x x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) -1) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (+.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (.f64 (+.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) -1) 2)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 2 (.f64 (+.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) -1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 2 (.f64 (+.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) -1) 2)) (.f64 2 (.f64 (+.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) -1) 2))) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (sqrt.f64 (+.f64 1 (.f64 x x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) -1) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (+.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) -1) 2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 (+.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) -1) 2)) (.f64 2 (.f64 (+.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) -1) 2))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 1 (sqrt.f64 (+.f64 1 (*.f64 x x)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (-.f64 1 (+.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) (fabs.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (-.f64 (neg.f64 (sqrt.f64 (+.f64 1 (.f64 x x)))) (+.f64 (fabs.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) (neg.f64 (fabs.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fabs.f64 x) (neg.f64 (sqrt.f64 (+.f64 1 (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fabs.f64 x) (+.f64 1 (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1 (.f64 x x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (fabs.f64 x) -1) (-.f64 1 (sqrt.f64 (+.f64 1 (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 -1 (-.f64 -1 (+.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) (fabs.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) -1) (-.f64 -1 (fabs.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) (fabs.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (neg.f64 (sqrt.f64 (+.f64 1 (.f64 x x)))) (fabs.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) (fabs.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) (+.f64 (fabs.f64 x) -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) 2) (+.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) (neg.f64 (fabs.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (+.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) -1) 2) (-.f64 (+.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) (neg.f64 (fabs.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 2 (.f64 -2 (fabs.f64 x))) (-.f64 (+.f64 (neg.f64 (sqrt.f64 (+.f64 1 (.f64 x x)))) (fabs.f64 x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (fabs.f64 x) -1) (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1 (.f64 x x))))))))) 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simplify658.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1140×	`rational_best-simplify-3`
980×	`rational_best-simplify-65`
930×	`rational_best-simplify-67`
576×	`rational_best-simplify-75`
566×	`rational_best-simplify-76`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	380	5932
1	912	5856
2	2691	5568

Stop Event

1×	node limit

Counts

184 → 287

Calls

Call 1

Inputs
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)))))
x
(+.f64 (*.f64 1/2 (/.f64 1 x)) x)
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) x) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(*.f64 -1 x)
(-.f64 (.f64 -1 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 -1 x)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 -1 x)) (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/16 (/.f64 1 (pow.f64 x 5)))))
(log.f64 (+.f64 1 (fabs.f64 x)))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))) (log.f64 (+.f64 1 (fabs.f64 x))))
(+.f64 (.f64 -1/24 (.f64 (+.f64 (.f64 3 (/.f64 1 (+.f64 1 (fabs.f64 x)))) (.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)))) (pow.f64 x 4))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))) (log.f64 (+.f64 1 (fabs.f64 x)))))
(+.f64 (.f64 -1/24 (.f64 (+.f64 (.f64 3 (/.f64 1 (+.f64 1 (fabs.f64 x)))) (.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)))) (pow.f64 x 4))) (+.f64 (.f64 1/720 (.f64 (+.f64 (.f64 45 (/.f64 1 (+.f64 1 (fabs.f64 x)))) (+.f64 (.f64 30 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 3))) (.f64 45 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 2))))) (pow.f64 x 6))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))) (log.f64 (+.f64 1 (fabs.f64 x))))))
(*.f64 -1 (log.f64 (/.f64 1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 (fabs.f64 x) x))
(+.f64 (.f64 1/2 (/.f64 (+.f64 1 (.f64 -1 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 (fabs.f64 x) x)))
(+.f64 (.f64 1/6 (/.f64 (+.f64 (.f64 -3 (fabs.f64 x)) (.f64 2 (pow.f64 (fabs.f64 x) 3))) (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 (+.f64 1 (.f64 -1 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 (fabs.f64 x) x))))
(*.f64 -1 (log.f64 (/.f64 -1 x)))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (.f64 -1 (/.f64 (fabs.f64 x) x)))
(+.f64 (.f64 1/2 (/.f64 (+.f64 1 (.f64 -1 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (.f64 -1 (/.f64 (fabs.f64 x) x))))
(+.f64 (.f64 1/2 (/.f64 (+.f64 1 (.f64 -1 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (.f64 -1 (/.f64 (fabs.f64 x) x)) (.f64 -1/6 (/.f64 (+.f64 (.f64 2 (pow.f64 (fabs.f64 x) 3)) (*.f64 -3 (fabs.f64 x))) (pow.f64 x 3))))))
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/8 (pow.f64 x 4)))
(+.f64 (.f64 1/16 (pow.f64 x 6)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 -1/8 (pow.f64 x 4))))
(+.f64 (.f64 1/16 (pow.f64 x 6)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/8 (pow.f64 x 4)) (.f64 -5/128 (pow.f64 x 8)))))
x
(-.f64 x 1)
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) x) 1)
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) x) (+.f64 1 (.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(*.f64 -1 x)
(-.f64 (*.f64 -1 x) 1)
(-.f64 (.f64 -1 x) (+.f64 (.f64 1/2 (/.f64 1 x)) 1))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 -1 x)) (+.f64 (*.f64 1/2 (/.f64 1 x)) 1))
(+.f64 1 (fabs.f64 x))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (fabs.f64 x)))
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/8 (pow.f64 x 4)) (fabs.f64 x))))
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/16 (pow.f64 x 6)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (fabs.f64 x)))))
x
(+.f64 (fabs.f64 x) x)
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (fabs.f64 x) x))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (fabs.f64 x) x)) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(*.f64 -1 x)
(+.f64 (fabs.f64 x) (*.f64 -1 x))
(-.f64 (+.f64 (fabs.f64 x) (.f64 -1 x)) (.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (fabs.f64 x) (.f64 -1 x))) (*.f64 1/2 (/.f64 1 x)))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 (*.f64 x x))) -1))
(+.f64 (sqrt.f64 (+.f64 1 (*.f64 x x))) 0)
(+.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 1 (*.f64 x x)))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 1 (*.f64 x x))) -1) 1)
(+.f64 0 (sqrt.f64 (+.f64 1 (*.f64 x x))))
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(+.f64 (/.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) 2) (/.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) 2))
(+.f64 (+.f64 (/.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) 2) -1/2) (+.f64 1 (+.f64 (/.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) 2) -1/2)))
(+.f64 (+.f64 1 (+.f64 (/.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) 2) -1/2)) (+.f64 (/.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) 2) -1/2))
(-.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1 (*.f64 x x)))))
(-.f64 (sqrt.f64 (+.f64 1 (*.f64 x x))) 0)
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 (*.f64 x x))) -1) -1)
(-.f64 0 (neg.f64 (sqrt.f64 (+.f64 1 (*.f64 x x)))))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (*.f64 x x)))) 1)
(-.f64 (/.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) 2) (/.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) -2))
(.f64 1 (sqrt.f64 (+.f64 1 (.f64 x x))))
(.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) 1)
(.f64 (neg.f64 (sqrt.f64 (+.f64 1 (.f64 x x)))) -1)
(.f64 (.f64 (sqrt.f64 (+.f64 1 (*.f64 x x))) 2) 1/2)
(.f64 1/2 (.f64 (sqrt.f64 (+.f64 1 (*.f64 x x))) 2))
(.f64 (.f64 2 (.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) 2)) 1/4)
(.f64 1/4 (.f64 2 (.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) 2)))
(.f64 (+.f64 (.f64 2 (.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) 2)) (.f64 2 (.f64 (sqrt.f64 (+.f64 1 (*.f64 x x))) 2))) 1/8)
(.f64 (sqrt.f64 (+.f64 2 (.f64 x (+.f64 x x)))) (sqrt.f64 1/2))
(.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 2 (.f64 x (+.f64 x x)))))
(/.f64 (sqrt.f64 (+.f64 1 (*.f64 x x))) 1)
(/.f64 (neg.f64 (sqrt.f64 (+.f64 1 (*.f64 x x)))) -1)
(/.f64 (.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) 2) 2)
(/.f64 (.f64 2 (.f64 (sqrt.f64 (+.f64 1 (*.f64 x x))) 2)) 4)
(/.f64 (+.f64 (.f64 2 (.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) 2)) (.f64 2 (.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) 2))) 8)
(pow.f64 (sqrt.f64 (+.f64 1 (*.f64 x x))) 1)
(neg.f64 (neg.f64 (sqrt.f64 (+.f64 1 (*.f64 x x)))))
(+.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 (*.f64 x x))) (fabs.f64 x))) 0)
(+.f64 0 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 (*.f64 x x))) (fabs.f64 x))))
(+.f64 (/.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) (fabs.f64 x))) 2) (/.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) (fabs.f64 x))) 2))
(-.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 (*.f64 x x))) (fabs.f64 x))) 0)
(-.f64 (/.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) (fabs.f64 x))) 2) (/.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) (fabs.f64 x))) -2))
(.f64 1 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) (fabs.f64 x))))
(.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) (fabs.f64 x))) 1)
(.f64 (.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 (*.f64 x x))) (fabs.f64 x))) 2) 1/2)
(.f64 1/2 (.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 (*.f64 x x))) (fabs.f64 x))) 2))
(.f64 (.f64 2 (.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) (fabs.f64 x))) 2)) 1/4)
(.f64 1/4 (.f64 2 (.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) (fabs.f64 x))) 2)))
(.f64 (+.f64 (.f64 2 (.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) (fabs.f64 x))) 2)) (.f64 2 (.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 (*.f64 x x))) (fabs.f64 x))) 2))) 1/8)
(/.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 (*.f64 x x))) (fabs.f64 x))) 1)
(/.f64 (.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) (fabs.f64 x))) 2) 2)
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(/.f64 (+.f64 (.f64 2 (.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) (fabs.f64 x))) 2)) (.f64 2 (.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) (fabs.f64 x))) 2))) 8)
(pow.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 (*.f64 x x))) (fabs.f64 x))) 1)
(-.f64 (sqrt.f64 (+.f64 1 (*.f64 x x))) 1)
(-.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1 (*.f64 x x)))))
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 (*.f64 x x))) -1) 0)
(-.f64 0 (-.f64 1 (sqrt.f64 (+.f64 1 (*.f64 x x)))))
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 (*.f64 x x))) -2) -1)
(-.f64 (+.f64 (/.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) 2) -1/2) (-.f64 1/2 (/.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) 2)))
(.f64 1 (+.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) -1))
(.f64 (+.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) -1) 1)
(.f64 (-.f64 1 (sqrt.f64 (+.f64 1 (.f64 x x)))) -1)
(.f64 (.f64 (+.f64 (sqrt.f64 (+.f64 1 (*.f64 x x))) -1) 2) 1/2)
(.f64 1/2 (.f64 (+.f64 (sqrt.f64 (+.f64 1 (*.f64 x x))) -1) 2))
(.f64 (.f64 2 (.f64 (+.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) -1) 2)) 1/4)
(.f64 1/4 (.f64 2 (.f64 (+.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) -1) 2)))
(.f64 (+.f64 (.f64 2 (.f64 (+.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) -1) 2)) (.f64 2 (.f64 (+.f64 (sqrt.f64 (+.f64 1 (*.f64 x x))) -1) 2))) 1/8)
(/.f64 (+.f64 (sqrt.f64 (+.f64 1 (*.f64 x x))) -1) 1)
(/.f64 (-.f64 1 (sqrt.f64 (+.f64 1 (*.f64 x x)))) -1)
(/.f64 (.f64 (+.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) -1) 2) 2)
(/.f64 (.f64 2 (.f64 (+.f64 (sqrt.f64 (+.f64 1 (*.f64 x x))) -1) 2)) 4)
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) -1) 2)) (.f64 2 (.f64 (+.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) -1) 2))) 8)
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 (*.f64 x x))) -1) 1)
(neg.f64 (-.f64 1 (sqrt.f64 (+.f64 1 (*.f64 x x)))))
(-.f64 1 (-.f64 1 (+.f64 (sqrt.f64 (+.f64 1 (*.f64 x x))) (fabs.f64 x))))
(-.f64 1 (-.f64 (neg.f64 (sqrt.f64 (+.f64 1 (*.f64 x x)))) (+.f64 (fabs.f64 x) -1)))
(-.f64 (sqrt.f64 (+.f64 1 (*.f64 x x))) (neg.f64 (fabs.f64 x)))
(-.f64 (fabs.f64 x) (neg.f64 (sqrt.f64 (+.f64 1 (*.f64 x x)))))
(-.f64 (fabs.f64 x) (+.f64 1 (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1 (*.f64 x x)))))))
(-.f64 (-.f64 (fabs.f64 x) -1) (-.f64 1 (sqrt.f64 (+.f64 1 (*.f64 x x)))))
(-.f64 -1 (-.f64 -1 (+.f64 (sqrt.f64 (+.f64 1 (*.f64 x x))) (fabs.f64 x))))
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 (*.f64 x x))) -1) (-.f64 -1 (fabs.f64 x)))
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 (*.f64 x x))) (fabs.f64 x)) 0)
(-.f64 0 (-.f64 (neg.f64 (sqrt.f64 (+.f64 1 (*.f64 x x)))) (fabs.f64 x)))
(-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 1 (*.f64 x x))) (fabs.f64 x))) 1)
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 (*.f64 x x))) (+.f64 (fabs.f64 x) -1)) -1)
(-.f64 (.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) 2) (+.f64 (sqrt.f64 (+.f64 1 (*.f64 x x))) (neg.f64 (fabs.f64 x))))
(-.f64 (.f64 (+.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) -1) 2) (-.f64 (+.f64 (sqrt.f64 (+.f64 1 (*.f64 x x))) (neg.f64 (fabs.f64 x))) 2))
(-.f64 (-.f64 2 (.f64 -2 (fabs.f64 x))) (-.f64 (+.f64 (neg.f64 (sqrt.f64 (+.f64 1 (.f64 x x)))) (fabs.f64 x)) -2))
(-.f64 (+.f64 (fabs.f64 x) -1) (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1 (*.f64 x x))))))
(-.f64 (+.f64 (fabs.f64 x) 2) (-.f64 1 (+.f64 (sqrt.f64 (+.f64 1 (*.f64 x x))) -1)))
(-.f64 (.f64 (fabs.f64 x) 1/2) (-.f64 (neg.f64 (sqrt.f64 (+.f64 1 (.f64 x x)))) (*.f64 (fabs.f64 x) 1/2)))
(-.f64 (.f64 (fabs.f64 x) 1/2) (-.f64 -1 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) -1) (*.f64 (fabs.f64 x) 1/2))))
(-.f64 (.f64 (fabs.f64 x) 1/2) (-.f64 0 (+.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) (*.f64 (fabs.f64 x) 1/2))))
(-.f64 (.f64 (fabs.f64 x) 1/2) (-.f64 (-.f64 1 (sqrt.f64 (+.f64 1 (.f64 x x)))) (+.f64 1 (*.f64 (fabs.f64 x) 1/2))))
(-.f64 (/.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) 2) (-.f64 (neg.f64 (fabs.f64 x)) (/.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) 2)))
(-.f64 (/.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) 2) (-.f64 1 (+.f64 (-.f64 (fabs.f64 x) -1) (/.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) 2))))
(-.f64 (/.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) 2) (-.f64 0 (+.f64 (fabs.f64 x) (/.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) 2))))
(-.f64 (/.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) 2) (-.f64 (-.f64 -1 (fabs.f64 x)) (+.f64 -1 (/.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) 2))))
(-.f64 (+.f64 (/.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) 2) -1/2) (-.f64 (-.f64 -1 (fabs.f64 x)) (+.f64 (/.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) 2) -1/2)))
(-.f64 (+.f64 (/.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) 2) -1/2) (-.f64 -1 (+.f64 (fabs.f64 x) (+.f64 (/.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) 2) -1/2))))
(-.f64 (+.f64 (/.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) 2) -1/2) (-.f64 0 (+.f64 (-.f64 (fabs.f64 x) -1) (+.f64 (/.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) 2) -1/2))))
(-.f64 (+.f64 (/.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) 2) -1/2) (-.f64 -1 (-.f64 (fabs.f64 x) (-.f64 1/2 (/.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) 2)))))
(-.f64 (+.f64 (/.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) 2) -1/2) (-.f64 (neg.f64 (fabs.f64 x)) (+.f64 1 (+.f64 (/.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) 2) -1/2))))
(-.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) (fabs.f64 x)) 2) (/.f64 (+.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) (fabs.f64 x)) -2))
(-.f64 (+.f64 1/2 (.f64 (fabs.f64 x) 1/2)) (-.f64 (-.f64 1 (sqrt.f64 (+.f64 1 (.f64 x x)))) (+.f64 1/2 (*.f64 (fabs.f64 x) 1/2))))
(-.f64 (+.f64 1/2 (.f64 (fabs.f64 x) 1/2)) (-.f64 1 (+.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) (+.f64 1/2 (*.f64 (fabs.f64 x) 1/2)))))
(-.f64 (+.f64 1/2 (.f64 (fabs.f64 x) 1/2)) (-.f64 0 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) -1) (+.f64 1/2 (*.f64 (fabs.f64 x) 1/2)))))
(-.f64 (+.f64 (fabs.f64 x) (+.f64 (/.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) 2) -1/2)) (-.f64 -1 (+.f64 (/.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) 2) -1/2)))
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) -1) (.f64 (fabs.f64 x) 1/2)) (-.f64 -1 (*.f64 (fabs.f64 x) 1/2)))
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) (+.f64 1/2 (.f64 (fabs.f64 x) 1/2))) (-.f64 1 (+.f64 1/2 (*.f64 (fabs.f64 x) 1/2))))
(-.f64 (+.f64 (-.f64 (fabs.f64 x) -1) (/.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) 2)) (-.f64 1 (/.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) 2)))
(-.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 1 (*.f64 x x))) (fabs.f64 x)) -2) 2)
(-.f64 (+.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) (.f64 (fabs.f64 x) 1/2)) (/.f64 (fabs.f64 x) -2))
(-.f64 (+.f64 (fabs.f64 x) (/.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) 2)) (/.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) -2))
(-.f64 (+.f64 (-.f64 (fabs.f64 x) -1) (+.f64 (/.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) 2) -1/2)) (-.f64 1/2 (/.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) 2)))
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) -1) (+.f64 1/2 (.f64 (fabs.f64 x) 1/2))) (-.f64 -1/2 (*.f64 (fabs.f64 x) 1/2)))
(-.f64 (-.f64 (fabs.f64 x) (-.f64 1/2 (/.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) 2))) (-.f64 -1 (+.f64 (/.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) 2) -1/2)))
(-.f64 (-.f64 (fabs.f64 x) (/.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) -2)) (/.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) -2))
(-.f64 (+.f64 1 (.f64 (fabs.f64 x) 1/2)) (-.f64 (-.f64 1 (sqrt.f64 (+.f64 1 (.f64 x x)))) (*.f64 (fabs.f64 x) 1/2)))
(-.f64 (-.f64 (sqrt.f64 (+.f64 1 (*.f64 x x))) (/.f64 (fabs.f64 x) -2)) (/.f64 (fabs.f64 x) -2))
(-.f64 (+.f64 -1 (/.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) 2)) (-.f64 (-.f64 -1 (fabs.f64 x)) (/.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) 2)))
(-.f64 (-.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) (-.f64 1 (+.f64 1/2 (.f64 (fabs.f64 x) 1/2)))) (-.f64 -1/2 (*.f64 (fabs.f64 x) 1/2)))
(-.f64 (-.f64 (-.f64 (fabs.f64 x) -1) (-.f64 1/2 (/.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) 2))) (-.f64 1/2 (/.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) 2)))
(-.f64 (+.f64 1 (+.f64 (/.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) 2) -1/2)) (-.f64 1/2 (-.f64 (fabs.f64 x) (/.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) -2))))
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 (*.f64 x x))) -1) (+.f64 (fabs.f64 x) -1)) -2)
(-.f64 (+.f64 (+.f64 (fabs.f64 x) -1) (+.f64 (sqrt.f64 (+.f64 1 (*.f64 x x))) -1)) -2)
(.f64 1 (+.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) (fabs.f64 x)))
(.f64 (+.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) (fabs.f64 x)) 1)
(.f64 (.f64 (+.f64 (sqrt.f64 (+.f64 1 (*.f64 x x))) (fabs.f64 x)) 2) 1/2)
(.f64 1/2 (.f64 (+.f64 (sqrt.f64 (+.f64 1 (*.f64 x x))) (fabs.f64 x)) 2))
(.f64 (.f64 2 (.f64 (+.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) (fabs.f64 x)) 2)) 1/4)
(.f64 1/4 (.f64 2 (.f64 (+.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) (fabs.f64 x)) 2)))
(.f64 (+.f64 (.f64 2 (.f64 (+.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) (fabs.f64 x)) 2)) (.f64 2 (.f64 (+.f64 (sqrt.f64 (+.f64 1 (*.f64 x x))) (fabs.f64 x)) 2))) 1/8)
(/.f64 (+.f64 (sqrt.f64 (+.f64 1 (*.f64 x x))) (fabs.f64 x)) 1)
(/.f64 (.f64 (+.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) (fabs.f64 x)) 2) 2)
(/.f64 (.f64 2 (.f64 (+.f64 (sqrt.f64 (+.f64 1 (*.f64 x x))) (fabs.f64 x)) 2)) 4)
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) (fabs.f64 x)) 2)) (.f64 2 (.f64 (+.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) (fabs.f64 x)) 2))) 8)
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 (*.f64 x x))) (fabs.f64 x)) 1)
(neg.f64 (-.f64 (neg.f64 (sqrt.f64 (+.f64 1 (*.f64 x x)))) (fabs.f64 x)))

Outputs
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 1 (+.f64 (.f64 -1/8 (pow.f64 x 4)) (+.f64 (.f64 1/16 (pow.f64 x 6)) (*.f64 1/2 (pow.f64 x 2)))))
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/8 (pow.f64 x 4)) (*.f64 1/16 (pow.f64 x 6)))))
(+.f64 (+.f64 1 (.f64 1/2 (pow.f64 x 2))) (+.f64 (.f64 -1/8 (pow.f64 x 4)) (*.f64 1/16 (pow.f64 x 6))))
x
(+.f64 (*.f64 1/2 (/.f64 1 x)) x)
(+.f64 x (*.f64 1 (/.f64 1/2 x)))
(+.f64 x (/.f64 1/2 x))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) x) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 x (.f64 1 (/.f64 1/2 x))) (.f64 1 (/.f64 1/8 (pow.f64 x 3))))
(-.f64 (+.f64 x (.f64 1 (/.f64 1/2 x))) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 x (/.f64 1/2 x)) (/.f64 1/8 (pow.f64 x 3)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 x (+.f64 (.f64 1 (/.f64 1/2 x)) (.f64 1 (/.f64 1/16 (pow.f64 x 5))))) (*.f64 1 (/.f64 1/8 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 1 (/.f64 1/2 x)) (+.f64 x (.f64 1 (/.f64 1/16 (pow.f64 x 5))))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 x (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5)))) (/.f64 1/8 (pow.f64 x 3)))
(*.f64 -1 x)
(*.f64 x -1)
(neg.f64 x)
(-.f64 (.f64 -1 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (.f64 x -1) (.f64 1 (/.f64 1/2 x)))
(-.f64 (neg.f64 x) (*.f64 1 (/.f64 1/2 x)))
(-.f64 (neg.f64 x) (/.f64 1/2 x))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 -1 x)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 1 (/.f64 1/8 (pow.f64 x 3))) (.f64 x -1)) (*.f64 1 (/.f64 1/2 x)))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (neg.f64 x)) (.f64 1 (/.f64 1/2 x)))
(-.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (neg.f64 x)) (/.f64 1/2 x))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 -1 x)) (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/16 (/.f64 1 (pow.f64 x 5)))))
(-.f64 (+.f64 (.f64 1 (/.f64 1/8 (pow.f64 x 3))) (.f64 x -1)) (+.f64 (.f64 1 (/.f64 1/2 x)) (.f64 1 (/.f64 1/16 (pow.f64 x 5)))))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (neg.f64 x)) (+.f64 (.f64 1 (/.f64 1/2 x)) (*.f64 1 (/.f64 1/16 (pow.f64 x 5)))))
(-.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (neg.f64 x)) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5))))
(log.f64 (+.f64 1 (fabs.f64 x)))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))) (log.f64 (+.f64 1 (fabs.f64 x))))
(+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))))
(+.f64 (.f64 -1/24 (.f64 (+.f64 (.f64 3 (/.f64 1 (+.f64 1 (fabs.f64 x)))) (.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)))) (pow.f64 x 4))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))) (log.f64 (+.f64 1 (fabs.f64 x)))))
(+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))) (.f64 (pow.f64 x 4) (.f64 (+.f64 (.f64 1 (/.f64 3 (+.f64 1 (fabs.f64 x)))) (*.f64 1 (/.f64 3 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)))) -1/24))))
(+.f64 (+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x))))) (.f64 -1/24 (.f64 (pow.f64 x 4) (.f64 3 (+.f64 (/.f64 1 (+.f64 1 (fabs.f64 x))) (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)))))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))) (+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (.f64 (+.f64 (/.f64 3 (+.f64 1 (fabs.f64 x))) (/.f64 3 (pow.f64 (+.f64 1 (fabs.f64 x)) 2))) (*.f64 (pow.f64 x 4) -1/24))))
(+.f64 (.f64 -1/24 (.f64 (+.f64 (.f64 3 (/.f64 1 (+.f64 1 (fabs.f64 x)))) (.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)))) (pow.f64 x 4))) (+.f64 (.f64 1/720 (.f64 (+.f64 (.f64 45 (/.f64 1 (+.f64 1 (fabs.f64 x)))) (+.f64 (.f64 30 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 3))) (.f64 45 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 2))))) (pow.f64 x 6))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))) (log.f64 (+.f64 1 (fabs.f64 x))))))
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(-.f64 (+.f64 1/2 (.f64 1/2 (fabs.f64 x))) (+.f64 (neg.f64 (.f64 1/2 (fabs.f64 x))) (-.f64 1/2 (sqrt.f64 (+.f64 1 (*.f64 x x))))))
(-.f64 (+.f64 1/2 (.f64 1/2 (fabs.f64 x))) (-.f64 1/2 (+.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) (*.f64 1/2 (fabs.f64 x)))))
(-.f64 (-.f64 (fabs.f64 x) (-.f64 1/2 (/.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) 2))) (-.f64 -1 (+.f64 (/.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) 2) -1/2)))
(+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (*.f64 x x))))
(-.f64 (-.f64 (fabs.f64 x) (/.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) -2)) (/.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) -2))
(+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (*.f64 x x))))
(-.f64 (+.f64 1 (.f64 (fabs.f64 x) 1/2)) (-.f64 (-.f64 1 (sqrt.f64 (+.f64 1 (.f64 x x)))) (*.f64 (fabs.f64 x) 1/2)))
(-.f64 (.f64 1/2 (fabs.f64 x)) (-.f64 (neg.f64 (sqrt.f64 (+.f64 1 (.f64 x x)))) (*.f64 1/2 (fabs.f64 x))))
(-.f64 (.f64 1/2 (fabs.f64 x)) (-.f64 (neg.f64 (.f64 1/2 (fabs.f64 x))) (sqrt.f64 (+.f64 1 (*.f64 x x)))))
(-.f64 (.f64 -2 (neg.f64 (.f64 1/2 (fabs.f64 x)))) (neg.f64 (sqrt.f64 (+.f64 1 (*.f64 x x)))))
(-.f64 (-.f64 (sqrt.f64 (+.f64 1 (*.f64 x x))) (/.f64 (fabs.f64 x) -2)) (/.f64 (fabs.f64 x) -2))
(+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (*.f64 x x))))
(-.f64 (+.f64 -1 (/.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) 2)) (-.f64 (-.f64 -1 (fabs.f64 x)) (/.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) 2)))
(+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (*.f64 x x))))
(-.f64 (-.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) (-.f64 1 (+.f64 1/2 (.f64 (fabs.f64 x) 1/2)))) (-.f64 -1/2 (*.f64 (fabs.f64 x) 1/2)))
(-.f64 (+.f64 1/2 (.f64 1/2 (fabs.f64 x))) (-.f64 (+.f64 1/2 (neg.f64 (.f64 1/2 (fabs.f64 x)))) (sqrt.f64 (+.f64 1 (*.f64 x x)))))
(-.f64 (+.f64 1/2 (.f64 1/2 (fabs.f64 x))) (+.f64 (neg.f64 (.f64 1/2 (fabs.f64 x))) (-.f64 1/2 (sqrt.f64 (+.f64 1 (*.f64 x x))))))
(-.f64 (+.f64 1/2 (.f64 1/2 (fabs.f64 x))) (-.f64 1/2 (+.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) (*.f64 1/2 (fabs.f64 x)))))
(-.f64 (-.f64 (-.f64 (fabs.f64 x) -1) (-.f64 1/2 (/.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) 2))) (-.f64 1/2 (/.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) 2)))
(+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (*.f64 x x))))
(-.f64 (+.f64 1 (+.f64 (/.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) 2) -1/2)) (-.f64 1/2 (-.f64 (fabs.f64 x) (/.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) -2))))
(+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (*.f64 x x))))
(-.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 1 (*.f64 x x))) -1) (+.f64 (fabs.f64 x) -1)) -2)
(+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (*.f64 x x))))
(-.f64 (+.f64 (+.f64 (fabs.f64 x) -1) (+.f64 (sqrt.f64 (+.f64 1 (*.f64 x x))) -1)) -2)
(+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (*.f64 x x))))
(.f64 1 (+.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) (fabs.f64 x)))
(+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (*.f64 x x))))
(.f64 (+.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) (fabs.f64 x)) 1)
(+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (*.f64 x x))))
(.f64 (.f64 (+.f64 (sqrt.f64 (+.f64 1 (*.f64 x x))) (fabs.f64 x)) 2) 1/2)
(+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (*.f64 x x))))
(.f64 1/2 (.f64 (+.f64 (sqrt.f64 (+.f64 1 (*.f64 x x))) (fabs.f64 x)) 2))
(+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (*.f64 x x))))
(.f64 (.f64 2 (.f64 (+.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) (fabs.f64 x)) 2)) 1/4)
(+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (*.f64 x x))))
(.f64 1/4 (.f64 2 (.f64 (+.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) (fabs.f64 x)) 2)))
(+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (*.f64 x x))))
(.f64 (+.f64 (.f64 2 (.f64 (+.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) (fabs.f64 x)) 2)) (.f64 2 (.f64 (+.f64 (sqrt.f64 (+.f64 1 (*.f64 x x))) (fabs.f64 x)) 2))) 1/8)
(+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (*.f64 x x))))
(/.f64 (+.f64 (sqrt.f64 (+.f64 1 (*.f64 x x))) (fabs.f64 x)) 1)
(+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (*.f64 x x))))
(/.f64 (.f64 (+.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) (fabs.f64 x)) 2) 2)
(+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (*.f64 x x))))
(/.f64 (.f64 2 (.f64 (+.f64 (sqrt.f64 (+.f64 1 (*.f64 x x))) (fabs.f64 x)) 2)) 4)
(+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (*.f64 x x))))
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) (fabs.f64 x)) 2)) (.f64 2 (.f64 (+.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) (fabs.f64 x)) 2))) 8)
(+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (*.f64 x x))))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 1 (*.f64 x x))) (fabs.f64 x)) 1)
(+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (*.f64 x x))))
(neg.f64 (-.f64 (neg.f64 (sqrt.f64 (+.f64 1 (*.f64 x x)))) (fabs.f64 x)))
(+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (*.f64 x x))))

localize10.0ms (0%)

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

localize30.0ms (0.1%)

Compiler: Compiled 20 to 5 computations (75% saved)

localize64.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 40 to 18 computations (55% saved)

series19.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
17.0ms	x	@	-inf	(log.f64 (+.f64 (/.f64 1/2 x) (+.f64 x (fabs.f64 x))))
1.0ms	x	@	0	(log.f64 (+.f64 (/.f64 1/2 x) (+.f64 x (fabs.f64 x))))
0.0ms	x	@	inf	(log.f64 (+.f64 (/.f64 1/2 x) (+.f64 x (fabs.f64 x))))
0.0ms	x	@	0	(+.f64 (/.f64 1/2 x) (+.f64 x (fabs.f64 x)))
0.0ms	x	@	-inf	(+.f64 (/.f64 1/2 x) (+.f64 x (fabs.f64 x)))

rewrite261.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1366×	`rational_best-simplify-51`
996×	`rational_best-simplify-76`
988×	`rational_best-simplify-75`
792×	`rational_best-4`
792×	`rational_best-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	50
1	71	50
2	157	50
3	488	50
4	2011	50

Stop Event

1×	node limit

Counts

2 → 147

Calls

Call 1

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

Outputs

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

simplify444.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

944×	`rational_best-simplify-51`
894×	`rational_best-simplify-52`
876×	`rational_best-simplify-57`
872×	`rational_best-simplify-3`
872×	`rational_best-simplify-48`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	418	5571
1	1133	5539
2	2435	4789

Stop Event

1×	node limit

Counts

171 → 228

Calls

Call 1

Inputs
(+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 1/2) (+.f64 (.f64 2 (.f64 (fabs.f64 x) x)) (*.f64 -1 (log.f64 x))))
(+.f64 (.f64 1/2 (.f64 (+.f64 4 (.f64 -4 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2))) (+.f64 (log.f64 1/2) (+.f64 (.f64 2 (.f64 (fabs.f64 x) x)) (.f64 -1 (log.f64 x)))))
(+.f64 (.f64 1/2 (.f64 (+.f64 4 (.f64 -4 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2))) (+.f64 (.f64 1/6 (.f64 (+.f64 (.f64 16 (pow.f64 (fabs.f64 x) 3)) (.f64 -24 (fabs.f64 x))) (pow.f64 x 3))) (+.f64 (log.f64 1/2) (+.f64 (.f64 2 (.f64 (fabs.f64 x) x)) (.f64 -1 (log.f64 x))))))
(*.f64 -1 (log.f64 (/.f64 1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 (fabs.f64 x) x))
(+.f64 (.f64 1/2 (/.f64 (+.f64 1 (.f64 -1 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 (fabs.f64 x) x)))
(+.f64 (.f64 1/6 (/.f64 (+.f64 (.f64 -3 (fabs.f64 x)) (.f64 2 (pow.f64 (fabs.f64 x) 3))) (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 (+.f64 1 (.f64 -1 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 (fabs.f64 x) x))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (/.f64 (fabs.f64 x) x)))
(+.f64 (.f64 1/2 (/.f64 (+.f64 1 (.f64 -1 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (/.f64 (fabs.f64 x) x))))
(+.f64 (.f64 -1/6 (/.f64 (+.f64 (.f64 -2 (pow.f64 (fabs.f64 x) 3)) (.f64 3 (fabs.f64 x))) (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 (+.f64 1 (.f64 -1 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (/.f64 (fabs.f64 x) x)))))
(/.f64 1/2 x)
(+.f64 (fabs.f64 x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (fabs.f64 x) (+.f64 (*.f64 1/2 (/.f64 1 x)) x))
(+.f64 (fabs.f64 x) (+.f64 (*.f64 1/2 (/.f64 1 x)) x))
x
(+.f64 (fabs.f64 x) x)
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (fabs.f64 x) x))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (fabs.f64 x) x))
x
(+.f64 (fabs.f64 x) x)
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (fabs.f64 x) x))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (fabs.f64 x) x))
(+.f64 (log.f64 (-.f64 x (-.f64 (/.f64 -1/2 x) (fabs.f64 x)))) 0)
(+.f64 0 (log.f64 (-.f64 x (-.f64 (/.f64 -1/2 x) (fabs.f64 x)))))
(+.f64 (/.f64 (log.f64 (-.f64 x (-.f64 (/.f64 -1/2 x) (fabs.f64 x)))) 2) (/.f64 (log.f64 (-.f64 x (-.f64 (/.f64 -1/2 x) (fabs.f64 x)))) 2))
(-.f64 (log.f64 (-.f64 x (-.f64 (/.f64 -1/2 x) (fabs.f64 x)))) 0)
(-.f64 (/.f64 (log.f64 (-.f64 x (-.f64 (/.f64 -1/2 x) (fabs.f64 x)))) 2) (/.f64 (log.f64 (-.f64 x (-.f64 (/.f64 -1/2 x) (fabs.f64 x)))) -2))
(.f64 1/2 (.f64 (log.f64 (-.f64 x (-.f64 (/.f64 -1/2 x) (fabs.f64 x)))) 2))
(*.f64 (log.f64 (-.f64 x (-.f64 (/.f64 -1/2 x) (fabs.f64 x)))) 1)
(*.f64 1 (log.f64 (-.f64 x (-.f64 (/.f64 -1/2 x) (fabs.f64 x)))))
(.f64 2 (.f64 (log.f64 (-.f64 x (-.f64 (/.f64 -1/2 x) (fabs.f64 x)))) 1/2))
(.f64 (.f64 (log.f64 (-.f64 x (-.f64 (/.f64 -1/2 x) (fabs.f64 x)))) 2) 1/2)
(.f64 (.f64 (log.f64 (-.f64 x (-.f64 (/.f64 -1/2 x) (fabs.f64 x)))) 4) 1/4)
(.f64 1/4 (.f64 (log.f64 (-.f64 x (-.f64 (/.f64 -1/2 x) (fabs.f64 x)))) 4))
(.f64 (.f64 2 (*.f64 (log.f64 (-.f64 x (-.f64 (/.f64 -1/2 x) (fabs.f64 x)))) 4)) 1/8)
(/.f64 (log.f64 (-.f64 x (-.f64 (/.f64 -1/2 x) (fabs.f64 x)))) 1)
(/.f64 (*.f64 (log.f64 (-.f64 x (-.f64 (/.f64 -1/2 x) (fabs.f64 x)))) 2) 2)
(/.f64 (*.f64 (log.f64 (-.f64 x (-.f64 (/.f64 -1/2 x) (fabs.f64 x)))) 4) 4)
(/.f64 (.f64 2 (.f64 (log.f64 (-.f64 x (-.f64 (/.f64 -1/2 x) (fabs.f64 x)))) 4)) 8)
(pow.f64 (log.f64 (-.f64 x (-.f64 (/.f64 -1/2 x) (fabs.f64 x)))) 1)
(-.f64 x (-.f64 (/.f64 -1/2 x) (fabs.f64 x)))
(-.f64 (/.f64 1/2 x) (-.f64 (neg.f64 x) (fabs.f64 x)))
(-.f64 (fabs.f64 x) (-.f64 (/.f64 -1/2 x) x))
(-.f64 (+.f64 x (fabs.f64 x)) (/.f64 -1/2 x))
(-.f64 (-.f64 x (-.f64 (/.f64 -1/2 x) (fabs.f64 x))) 0)
(-.f64 0 (-.f64 (/.f64 -1/2 x) (+.f64 x (fabs.f64 x))))
(-.f64 0 (+.f64 (-.f64 (neg.f64 x) (fabs.f64 x)) (/.f64 -1/2 x)))
(-.f64 0 (+.f64 (-.f64 (/.f64 -1/2 x) x) (neg.f64 (fabs.f64 x))))
(-.f64 0 (+.f64 (-.f64 (/.f64 -1/2 x) (fabs.f64 x)) (neg.f64 x)))
(-.f64 (+.f64 x (/.f64 1/2 x)) (neg.f64 (fabs.f64 x)))
(-.f64 (+.f64 x x) (+.f64 (-.f64 x (fabs.f64 x)) (/.f64 -1/2 x)))
(-.f64 (+.f64 x x) (+.f64 (-.f64 (/.f64 -1/2 x) (fabs.f64 x)) x))
(-.f64 (+.f64 (/.f64 1/2 x) (fabs.f64 x)) (neg.f64 x))
(-.f64 (*.f64 (+.f64 x (fabs.f64 x)) 2) (+.f64 (+.f64 x (fabs.f64 x)) (/.f64 -1/2 x)))
(-.f64 (/.f64 1 x) (+.f64 (/.f64 1/2 x) (-.f64 (neg.f64 x) (fabs.f64 x))))
(-.f64 (/.f64 1 x) (+.f64 (+.f64 (/.f64 1/2 x) (neg.f64 x)) (neg.f64 (fabs.f64 x))))
(-.f64 (/.f64 1 x) (+.f64 (+.f64 (/.f64 1/2 x) (neg.f64 (fabs.f64 x))) (neg.f64 x)))
(-.f64 (*.f64 (fabs.f64 x) 2) (+.f64 (-.f64 (fabs.f64 x) x) (/.f64 -1/2 x)))
(-.f64 (*.f64 (fabs.f64 x) 2) (+.f64 (-.f64 (/.f64 -1/2 x) x) (fabs.f64 x)))
(-.f64 (-.f64 (+.f64 x x) (/.f64 -1 x)) (+.f64 (+.f64 x (/.f64 1/2 x)) (neg.f64 (fabs.f64 x))))
(-.f64 (/.f64 (+.f64 x (fabs.f64 x)) 2) (-.f64 (/.f64 -1/2 x) (/.f64 (+.f64 x (fabs.f64 x)) 2)))
(-.f64 (/.f64 (+.f64 x (fabs.f64 x)) 2) (-.f64 0 (+.f64 (/.f64 1/2 x) (/.f64 (+.f64 x (fabs.f64 x)) 2))))
(-.f64 (/.f64 (+.f64 x (fabs.f64 x)) 2) (+.f64 (/.f64 (+.f64 x (fabs.f64 x)) -2) (/.f64 -1/2 x)))
(-.f64 (/.f64 x 2) (+.f64 (-.f64 (/.f64 -1/2 x) (fabs.f64 x)) (/.f64 x -2)))
(-.f64 (/.f64 x 2) (-.f64 (-.f64 (/.f64 -1/2 x) (fabs.f64 x)) (/.f64 x 2)))
(-.f64 (/.f64 x 2) (-.f64 (/.f64 x -2) (+.f64 (/.f64 1/2 x) (fabs.f64 x))))
(-.f64 (/.f64 x 2) (-.f64 (/.f64 -1/2 x) (+.f64 (fabs.f64 x) (/.f64 x 2))))
(-.f64 (/.f64 x 2) (-.f64 0 (+.f64 (+.f64 (/.f64 1/2 x) (fabs.f64 x)) (/.f64 x 2))))
(-.f64 (/.f64 x 2) (-.f64 (neg.f64 (fabs.f64 x)) (+.f64 (/.f64 1/2 x) (/.f64 x 2))))
(-.f64 (/.f64 x 2) (-.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) (/.f64 x -2))))
(-.f64 (/.f64 x 2) (+.f64 (+.f64 (neg.f64 (fabs.f64 x)) (/.f64 x -2)) (/.f64 -1/2 x)))
(-.f64 (/.f64 x 2) (+.f64 (-.f64 (neg.f64 (fabs.f64 x)) (/.f64 x 2)) (/.f64 -1/2 x)))
(-.f64 (/.f64 x 2) (+.f64 (+.f64 (/.f64 -1/2 x) (/.f64 x -2)) (neg.f64 (fabs.f64 x))))
(-.f64 (+.f64 (/.f64 (+.f64 x (fabs.f64 x)) 2) (/.f64 1/4 x)) (/.f64 (-.f64 x (-.f64 (/.f64 -1/2 x) (fabs.f64 x))) -2))
(-.f64 (+.f64 (/.f64 (+.f64 x (fabs.f64 x)) 2) (/.f64 1/4 x)) (-.f64 (/.f64 -1/4 x) (/.f64 (+.f64 x (fabs.f64 x)) 2)))
(-.f64 (/.f64 1/4 x) (-.f64 (-.f64 (neg.f64 x) (fabs.f64 x)) (/.f64 1/4 x)))
(-.f64 (/.f64 1/4 x) (-.f64 0 (+.f64 (+.f64 x (fabs.f64 x)) (/.f64 1/4 x))))
(-.f64 (/.f64 1/4 x) (-.f64 (neg.f64 x) (+.f64 (fabs.f64 x) (/.f64 1/4 x))))
(-.f64 (/.f64 1/4 x) (-.f64 (neg.f64 (fabs.f64 x)) (+.f64 x (/.f64 1/4 x))))
(-.f64 (/.f64 1/4 x) (-.f64 (neg.f64 (fabs.f64 x)) (-.f64 x (/.f64 -1/4 x))))
(-.f64 (/.f64 1/4 x) (-.f64 (neg.f64 x) (-.f64 (fabs.f64 x) (/.f64 -1/4 x))))
(-.f64 (/.f64 1/4 x) (+.f64 (/.f64 -1/4 x) (-.f64 (neg.f64 x) (fabs.f64 x))))
(-.f64 (/.f64 1/4 x) (+.f64 (-.f64 (neg.f64 x) (/.f64 1/4 x)) (neg.f64 (fabs.f64 x))))
(-.f64 (/.f64 1/4 x) (+.f64 (-.f64 (neg.f64 (fabs.f64 x)) (/.f64 1/4 x)) (neg.f64 x)))
(-.f64 (/.f64 (fabs.f64 x) 2) (-.f64 (-.f64 (/.f64 -1/2 x) x) (/.f64 (fabs.f64 x) 2)))
(-.f64 (/.f64 (fabs.f64 x) 2) (-.f64 (/.f64 -1/2 x) (+.f64 x (/.f64 (fabs.f64 x) 2))))
(-.f64 (/.f64 (fabs.f64 x) 2) (-.f64 0 (+.f64 (+.f64 x (/.f64 1/2 x)) (/.f64 (fabs.f64 x) 2))))
(-.f64 (/.f64 (fabs.f64 x) 2) (-.f64 (neg.f64 x) (+.f64 (/.f64 1/2 x) (/.f64 (fabs.f64 x) 2))))
(-.f64 (/.f64 (fabs.f64 x) 2) (-.f64 (/.f64 -1/2 x) (-.f64 x (/.f64 (fabs.f64 x) -2))))
(-.f64 (/.f64 (fabs.f64 x) 2) (+.f64 (-.f64 (neg.f64 x) (/.f64 (fabs.f64 x) 2)) (/.f64 -1/2 x)))
(-.f64 (fabs.f64 (/.f64 (+.f64 x (fabs.f64 x)) 2)) (-.f64 (/.f64 -1/2 x) (fabs.f64 (/.f64 (+.f64 x (fabs.f64 x)) 2))))
(-.f64 (fabs.f64 (/.f64 x 2)) (-.f64 (-.f64 (/.f64 -1/2 x) x) (fabs.f64 (/.f64 x 2))))
(-.f64 (fabs.f64 (/.f64 (fabs.f64 x) 2)) (-.f64 (-.f64 (/.f64 -1/2 x) x) (fabs.f64 (/.f64 (fabs.f64 x) 2))))
(-.f64 (+.f64 x (/.f64 (fabs.f64 x) 2)) (-.f64 (/.f64 -1/2 x) (/.f64 (fabs.f64 x) 2)))
(-.f64 (+.f64 x (/.f64 (fabs.f64 x) 2)) (+.f64 (/.f64 (fabs.f64 x) -2) (/.f64 -1/2 x)))
(-.f64 (+.f64 (fabs.f64 x) (/.f64 x 2)) (+.f64 (/.f64 -1/2 x) (/.f64 x -2)))
(-.f64 (+.f64 (fabs.f64 x) (/.f64 x 2)) (-.f64 (/.f64 -1/2 x) (/.f64 x 2)))
(-.f64 (+.f64 (/.f64 1/2 x) (/.f64 (+.f64 x (fabs.f64 x)) 2)) (/.f64 (+.f64 x (fabs.f64 x)) -2))
(-.f64 (+.f64 (+.f64 x (fabs.f64 x)) (/.f64 1/4 x)) (/.f64 -1/4 x))
(-.f64 (+.f64 (+.f64 x (/.f64 1/2 x)) (/.f64 (fabs.f64 x) 2)) (/.f64 (fabs.f64 x) -2))
(-.f64 (+.f64 (+.f64 (/.f64 1/2 x) (fabs.f64 x)) (/.f64 x 2)) (/.f64 x -2))
(-.f64 (+.f64 (/.f64 1/2 x) (/.f64 (fabs.f64 x) 2)) (-.f64 (neg.f64 x) (/.f64 (fabs.f64 x) 2)))
(-.f64 (+.f64 (/.f64 1/2 x) (/.f64 (fabs.f64 x) 2)) (+.f64 (/.f64 (fabs.f64 x) -2) (neg.f64 x)))
(-.f64 (+.f64 (fabs.f64 x) (/.f64 1/4 x)) (-.f64 (neg.f64 x) (/.f64 1/4 x)))
(-.f64 (+.f64 (fabs.f64 x) (/.f64 1/4 x)) (+.f64 (/.f64 -1/4 x) (neg.f64 x)))
(-.f64 (+.f64 x (/.f64 1/4 x)) (-.f64 (neg.f64 (fabs.f64 x)) (/.f64 1/4 x)))
(-.f64 (+.f64 x (/.f64 1/4 x)) (+.f64 (/.f64 -1/4 x) (neg.f64 (fabs.f64 x))))
(-.f64 (+.f64 (/.f64 1/2 x) (/.f64 x 2)) (+.f64 (neg.f64 (fabs.f64 x)) (/.f64 x -2)))
(-.f64 (+.f64 (/.f64 1/2 x) (/.f64 x 2)) (-.f64 (neg.f64 (fabs.f64 x)) (/.f64 x 2)))
(-.f64 (-.f64 (fabs.f64 x) (/.f64 x -2)) (+.f64 (/.f64 -1/2 x) (/.f64 x -2)))
(-.f64 (-.f64 (fabs.f64 x) (/.f64 x -2)) (-.f64 (/.f64 -1/2 x) (/.f64 x 2)))
(-.f64 (-.f64 (fabs.f64 x) (/.f64 x -2)) (-.f64 (/.f64 x -2) (/.f64 1/2 x)))
(-.f64 (-.f64 (/.f64 1/2 x) (/.f64 x -2)) (+.f64 (neg.f64 (fabs.f64 x)) (/.f64 x -2)))
(-.f64 (-.f64 (/.f64 1/2 x) (/.f64 x -2)) (-.f64 (neg.f64 (fabs.f64 x)) (/.f64 x 2)))
(-.f64 (-.f64 (fabs.f64 x) (-.f64 (/.f64 -1/2 x) (/.f64 x 2))) (/.f64 x -2))
(-.f64 (/.f64 (+.f64 x (/.f64 1/2 x)) 2) (-.f64 (neg.f64 (fabs.f64 x)) (/.f64 (+.f64 x (/.f64 1/2 x)) 2)))
(-.f64 (-.f64 x (/.f64 (fabs.f64 x) -2)) (-.f64 (/.f64 -1/2 x) (/.f64 (fabs.f64 x) 2)))
(-.f64 (-.f64 x (/.f64 (fabs.f64 x) -2)) (+.f64 (/.f64 (fabs.f64 x) -2) (/.f64 -1/2 x)))
(-.f64 (-.f64 x (/.f64 -1/4 x)) (-.f64 (neg.f64 (fabs.f64 x)) (/.f64 1/4 x)))
(-.f64 (-.f64 x (/.f64 -1/4 x)) (+.f64 (/.f64 -1/4 x) (neg.f64 (fabs.f64 x))))
(-.f64 (-.f64 (/.f64 (fabs.f64 x) 2) (/.f64 -1/2 x)) (-.f64 (neg.f64 x) (/.f64 (fabs.f64 x) 2)))
(-.f64 (-.f64 (/.f64 (fabs.f64 x) 2) (/.f64 -1/2 x)) (+.f64 (/.f64 (fabs.f64 x) -2) (neg.f64 x)))
(-.f64 (-.f64 (+.f64 x (fabs.f64 x)) (/.f64 -1/4 x)) (/.f64 -1/4 x))
(-.f64 (-.f64 (fabs.f64 x) (/.f64 -1/4 x)) (-.f64 (neg.f64 x) (/.f64 1/4 x)))
(-.f64 (-.f64 (fabs.f64 x) (/.f64 -1/4 x)) (+.f64 (/.f64 -1/4 x) (neg.f64 x)))
(-.f64 (-.f64 (/.f64 (+.f64 x (fabs.f64 x)) 2) (/.f64 -1/2 x)) (/.f64 (+.f64 x (fabs.f64 x)) -2))
(-.f64 (+.f64 (/.f64 x 2) (/.f64 1/4 x)) (+.f64 (-.f64 (/.f64 x -2) (/.f64 1/4 x)) (neg.f64 (fabs.f64 x))))
(-.f64 (-.f64 (fabs.f64 x) x) (-.f64 (*.f64 x -2) (/.f64 1/2 x)))
(-.f64 (+.f64 (fabs.f64 x) (/.f64 -1/2 x)) (-.f64 (/.f64 -1 x) x))
(-.f64 (+.f64 x (/.f64 -1/2 x)) (-.f64 (/.f64 -1 x) (fabs.f64 x)))
(-.f64 (-.f64 x (fabs.f64 x)) (-.f64 (*.f64 (fabs.f64 x) -2) (/.f64 1/2 x)))
(-.f64 (-.f64 (/.f64 1/4 x) (/.f64 x -2)) (-.f64 (-.f64 (neg.f64 (fabs.f64 x)) (/.f64 x 2)) (/.f64 1/4 x)))
(-.f64 (-.f64 (/.f64 (fabs.f64 x) 2) (-.f64 (/.f64 -1/2 x) x)) (/.f64 (fabs.f64 x) -2))
(-.f64 (-.f64 (/.f64 x 4) (/.f64 x -2)) (-.f64 (-.f64 (/.f64 -1/2 x) (fabs.f64 x)) (/.f64 x 4)))
(-.f64 (-.f64 (/.f64 (+.f64 x (/.f64 1/2 x)) 2) (neg.f64 (fabs.f64 x))) (-.f64 0 (/.f64 (+.f64 x (/.f64 1/2 x)) 2)))
(-.f64 (-.f64 (fabs.f64 (/.f64 x 2)) (neg.f64 x)) (-.f64 (/.f64 -1/2 x) (fabs.f64 (/.f64 x 2))))
(-.f64 (-.f64 (fabs.f64 (/.f64 (fabs.f64 x) 2)) (neg.f64 x)) (-.f64 (/.f64 -1/2 x) (fabs.f64 (/.f64 (fabs.f64 x) 2))))
(-.f64 (-.f64 (fabs.f64 (/.f64 x 2)) (-.f64 (/.f64 -1/2 x) x)) (-.f64 0 (fabs.f64 (/.f64 x 2))))
(-.f64 (-.f64 (fabs.f64 (/.f64 (fabs.f64 x) 2)) (-.f64 (/.f64 -1/2 x) x)) (-.f64 0 (fabs.f64 (/.f64 (fabs.f64 x) 2))))
(-.f64 (-.f64 (fabs.f64 (/.f64 (+.f64 x (fabs.f64 x)) 2)) (/.f64 -1/2 x)) (-.f64 0 (fabs.f64 (/.f64 (+.f64 x (fabs.f64 x)) 2))))
(-.f64 (-.f64 (/.f64 1/4 x) (/.f64 (fabs.f64 x) -2)) (-.f64 (-.f64 (neg.f64 x) (/.f64 (fabs.f64 x) 2)) (/.f64 1/4 x)))
(-.f64 (-.f64 (fabs.f64 (/.f64 (+.f64 x (fabs.f64 x)) 2)) (/.f64 -1/4 x)) (-.f64 (/.f64 -1/4 x) (fabs.f64 (/.f64 (+.f64 x (fabs.f64 x)) 2))))
(-.f64 (-.f64 (/.f64 1/4 x) (-.f64 1 (fabs.f64 x))) (-.f64 (-.f64 -1 x) (/.f64 1/4 x)))
(-.f64 (-.f64 (/.f64 1/4 x) (-.f64 1 x)) (-.f64 (-.f64 -1 (fabs.f64 x)) (/.f64 1/4 x)))
(-.f64 (-.f64 (fabs.f64 (/.f64 x 2)) (/.f64 -1/2 x)) (-.f64 (neg.f64 x) (fabs.f64 (/.f64 x 2))))
(-.f64 (-.f64 (fabs.f64 (/.f64 (fabs.f64 x) 2)) (/.f64 -1/2 x)) (-.f64 (neg.f64 x) (fabs.f64 (/.f64 (fabs.f64 x) 2))))
(-.f64 (-.f64 (/.f64 1/2 x) (/.f64 1/2 x)) (-.f64 (/.f64 -1/2 x) (+.f64 x (fabs.f64 x))))
(-.f64 (-.f64 (+.f64 x (/.f64 1/2 x)) (+.f64 x (/.f64 1/2 x))) (-.f64 (/.f64 -1/2 x) (+.f64 x (fabs.f64 x))))
(.f64 1/2 (+.f64 (.f64 (+.f64 x (fabs.f64 x)) 2) (/.f64 1 x)))
(*.f64 (-.f64 x (-.f64 (/.f64 -1/2 x) (fabs.f64 x))) 1)
(*.f64 1 (-.f64 x (-.f64 (/.f64 -1/2 x) (fabs.f64 x))))
(.f64 2 (.f64 (-.f64 x (-.f64 (/.f64 -1/2 x) (fabs.f64 x))) 1/2))
(.f64 (+.f64 (.f64 (+.f64 x (fabs.f64 x)) 2) (/.f64 1 x)) 1/2)
(.f64 (+.f64 (.f64 (+.f64 x (fabs.f64 x)) 4) (/.f64 2 x)) 1/4)
(.f64 1/4 (+.f64 (.f64 (+.f64 x (fabs.f64 x)) 4) (/.f64 2 x)))
(.f64 (.f64 2 (+.f64 (*.f64 (+.f64 x (fabs.f64 x)) 4) (/.f64 2 x))) 1/8)
(/.f64 (-.f64 x (-.f64 (/.f64 -1/2 x) (fabs.f64 x))) 1)
(/.f64 (+.f64 (*.f64 (+.f64 x (fabs.f64 x)) 2) (/.f64 1 x)) 2)
(/.f64 (+.f64 (*.f64 (+.f64 x (fabs.f64 x)) 4) (/.f64 2 x)) 4)
(/.f64 (.f64 2 (+.f64 (.f64 (+.f64 x (fabs.f64 x)) 4) (/.f64 2 x))) 8)
(/.f64 (-.f64 (/.f64 2 x) (neg.f64 (*.f64 (+.f64 x (fabs.f64 x)) 4))) 4)
(/.f64 (-.f64 (*.f64 (+.f64 x (fabs.f64 x)) 4) (/.f64 -2 x)) 4)
(/.f64 (-.f64 (-.f64 (+.f64 x x) (/.f64 -1 x)) (*.f64 (fabs.f64 x) -2)) 2)
(/.f64 (-.f64 (+.f64 (.f64 x 4) (/.f64 2 x)) (neg.f64 (.f64 (fabs.f64 x) 4))) 4)
(/.f64 (-.f64 (-.f64 (.f64 (fabs.f64 x) 2) (/.f64 -1 x)) (.f64 x -2)) 2)
(/.f64 (-.f64 (+.f64 (/.f64 2 x) (.f64 (fabs.f64 x) 4)) (.f64 x -4)) 4)
(/.f64 (-.f64 (.f64 (+.f64 (/.f64 1/2 x) (fabs.f64 x)) 4) (.f64 x -4)) 4)
(pow.f64 (-.f64 x (-.f64 (/.f64 -1/2 x) (fabs.f64 x))) 1)
(neg.f64 (-.f64 (/.f64 -1/2 x) (+.f64 x (fabs.f64 x))))

Outputs
(+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 1/2) (neg.f64 (log.f64 x)))
(+.f64 (log.f64 1/2) (+.f64 (.f64 2 (.f64 (fabs.f64 x) x)) (*.f64 -1 (log.f64 x))))
(+.f64 (log.f64 1/2) (+.f64 (.f64 -1 (log.f64 x)) (.f64 x (*.f64 2 (fabs.f64 x)))))
(+.f64 (neg.f64 (log.f64 x)) (+.f64 (log.f64 1/2) (.f64 (fabs.f64 x) (.f64 2 x))))
(+.f64 (neg.f64 (log.f64 x)) (+.f64 (log.f64 1/2) (.f64 (fabs.f64 x) (.f64 x 2))))
(+.f64 (.f64 1/2 (.f64 (+.f64 4 (.f64 -4 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2))) (+.f64 (log.f64 1/2) (+.f64 (.f64 2 (.f64 (fabs.f64 x) x)) (.f64 -1 (log.f64 x)))))
(+.f64 (+.f64 (.f64 -1 (log.f64 x)) (.f64 x (.f64 2 (fabs.f64 x)))) (+.f64 (log.f64 1/2) (.f64 1/2 (.f64 (+.f64 4 (.f64 -4 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2)))))
(+.f64 (+.f64 (neg.f64 (log.f64 x)) (.f64 (fabs.f64 x) (.f64 2 x))) (+.f64 (log.f64 1/2) (.f64 1/2 (.f64 (+.f64 4 (*.f64 -4 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2)))))
(+.f64 (neg.f64 (log.f64 x)) (+.f64 (+.f64 (log.f64 1/2) (.f64 (fabs.f64 x) (.f64 x 2))) (.f64 1/2 (.f64 (+.f64 4 (*.f64 -4 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2)))))
(+.f64 (.f64 1/2 (.f64 (+.f64 4 (.f64 -4 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2))) (+.f64 (.f64 1/6 (.f64 (+.f64 (.f64 16 (pow.f64 (fabs.f64 x) 3)) (.f64 -24 (fabs.f64 x))) (pow.f64 x 3))) (+.f64 (log.f64 1/2) (+.f64 (.f64 2 (.f64 (fabs.f64 x) x)) (.f64 -1 (log.f64 x))))))
(+.f64 (+.f64 (log.f64 1/2) (+.f64 (.f64 -1 (log.f64 x)) (.f64 x (.f64 2 (fabs.f64 x))))) (+.f64 (.f64 1/6 (.f64 (+.f64 (.f64 16 (pow.f64 (fabs.f64 x) 3)) (.f64 (fabs.f64 x) -24)) (pow.f64 x 3))) (.f64 1/2 (.f64 (+.f64 4 (.f64 -4 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2)))))
(+.f64 (+.f64 (neg.f64 (log.f64 x)) (+.f64 (log.f64 1/2) (.f64 (fabs.f64 x) (.f64 2 x)))) (+.f64 (.f64 1/2 (.f64 (+.f64 4 (.f64 -4 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2))) (.f64 1/6 (.f64 (+.f64 (.f64 16 (pow.f64 (fabs.f64 x) 3)) (*.f64 (fabs.f64 x) -24)) (pow.f64 x 3)))))
(+.f64 (log.f64 1/2) (+.f64 (+.f64 (neg.f64 (log.f64 x)) (.f64 (fabs.f64 x) (.f64 x 2))) (+.f64 (.f64 1/2 (.f64 (+.f64 4 (.f64 -4 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2))) (.f64 1/6 (.f64 (+.f64 (.f64 16 (pow.f64 (fabs.f64 x) 3)) (*.f64 (fabs.f64 x) -24)) (pow.f64 x 3))))))
(*.f64 -1 (log.f64 (/.f64 1 x)))
(neg.f64 (log.f64 (/.f64 1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 (fabs.f64 x) x))
(+.f64 (neg.f64 (log.f64 (/.f64 1 x))) (/.f64 (fabs.f64 x) x))
(+.f64 (.f64 1/2 (/.f64 (+.f64 1 (.f64 -1 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 (fabs.f64 x) x)))
(+.f64 (/.f64 (fabs.f64 x) x) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 (+.f64 1 (*.f64 -1 (pow.f64 (fabs.f64 x) 2))) (/.f64 1/2 (pow.f64 x 2)))))
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(-.f64 (-.f64 (/.f64 1/4 x) (/.f64 (fabs.f64 x) -2)) (-.f64 (-.f64 (neg.f64 x) (/.f64 (fabs.f64 x) 2)) (/.f64 1/4 x)))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 x (fabs.f64 x)))
(+.f64 x (+.f64 (fabs.f64 x) (/.f64 1/2 x)))
(-.f64 (-.f64 (fabs.f64 (/.f64 (+.f64 x (fabs.f64 x)) 2)) (/.f64 -1/4 x)) (-.f64 (/.f64 -1/4 x) (fabs.f64 (/.f64 (+.f64 x (fabs.f64 x)) 2))))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 x (fabs.f64 x)))
(+.f64 x (+.f64 (fabs.f64 x) (/.f64 1/2 x)))
(-.f64 (-.f64 (/.f64 1/4 x) (-.f64 1 (fabs.f64 x))) (-.f64 (-.f64 -1 x) (/.f64 1/4 x)))
(-.f64 (/.f64 1/4 x) (-.f64 (-.f64 -1 x) (-.f64 (fabs.f64 x) (-.f64 1 (/.f64 1/4 x)))))
(-.f64 x (-.f64 (-.f64 -1 (/.f64 1/4 x)) (+.f64 (fabs.f64 x) (-.f64 (/.f64 1/4 x) 1))))
(-.f64 x (-.f64 (-.f64 -1 (/.f64 1/2 x)) (-.f64 (fabs.f64 x) 1)))
(-.f64 (-.f64 (/.f64 1/4 x) (-.f64 1 x)) (-.f64 (-.f64 -1 (fabs.f64 x)) (/.f64 1/4 x)))
(-.f64 (/.f64 1/4 x) (-.f64 (-.f64 -1 x) (-.f64 (fabs.f64 x) (-.f64 1 (/.f64 1/4 x)))))
(-.f64 x (-.f64 (-.f64 -1 (/.f64 1/4 x)) (+.f64 (fabs.f64 x) (-.f64 (/.f64 1/4 x) 1))))
(-.f64 x (-.f64 (-.f64 -1 (/.f64 1/2 x)) (-.f64 (fabs.f64 x) 1)))
(-.f64 (-.f64 (fabs.f64 (/.f64 x 2)) (/.f64 -1/2 x)) (-.f64 (neg.f64 x) (fabs.f64 (/.f64 x 2))))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 x (fabs.f64 x)))
(+.f64 x (+.f64 (fabs.f64 x) (/.f64 1/2 x)))
(-.f64 (-.f64 (fabs.f64 (/.f64 (fabs.f64 x) 2)) (/.f64 -1/2 x)) (-.f64 (neg.f64 x) (fabs.f64 (/.f64 (fabs.f64 x) 2))))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 x (fabs.f64 x)))
(+.f64 x (+.f64 (fabs.f64 x) (/.f64 1/2 x)))
(-.f64 (-.f64 (/.f64 1/2 x) (/.f64 1/2 x)) (-.f64 (/.f64 -1/2 x) (+.f64 x (fabs.f64 x))))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 x (fabs.f64 x)))
(+.f64 x (+.f64 (fabs.f64 x) (/.f64 1/2 x)))
(-.f64 (-.f64 (+.f64 x (/.f64 1/2 x)) (+.f64 x (/.f64 1/2 x))) (-.f64 (/.f64 -1/2 x) (+.f64 x (fabs.f64 x))))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 x (fabs.f64 x)))
(+.f64 x (+.f64 (fabs.f64 x) (/.f64 1/2 x)))
(.f64 1/2 (+.f64 (.f64 (+.f64 x (fabs.f64 x)) 2) (/.f64 1 x)))
(.f64 1/2 (+.f64 (/.f64 1 x) (.f64 2 (+.f64 x (fabs.f64 x)))))
(*.f64 (-.f64 x (-.f64 (/.f64 -1/2 x) (fabs.f64 x))) 1)
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 x (fabs.f64 x)))
(+.f64 x (+.f64 (fabs.f64 x) (/.f64 1/2 x)))
(*.f64 1 (-.f64 x (-.f64 (/.f64 -1/2 x) (fabs.f64 x))))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 x (fabs.f64 x)))
(+.f64 x (+.f64 (fabs.f64 x) (/.f64 1/2 x)))
(.f64 2 (.f64 (-.f64 x (-.f64 (/.f64 -1/2 x) (fabs.f64 x))) 1/2))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 x (fabs.f64 x)))
(+.f64 x (+.f64 (fabs.f64 x) (/.f64 1/2 x)))
(.f64 (+.f64 (.f64 (+.f64 x (fabs.f64 x)) 2) (/.f64 1 x)) 1/2)
(.f64 1/2 (+.f64 (/.f64 1 x) (.f64 2 (+.f64 x (fabs.f64 x)))))
(.f64 (+.f64 (.f64 (+.f64 x (fabs.f64 x)) 4) (/.f64 2 x)) 1/4)
(.f64 1/4 (+.f64 (.f64 4 (+.f64 x (fabs.f64 x))) (/.f64 2 x)))
(.f64 1/4 (+.f64 (.f64 (+.f64 x (fabs.f64 x)) 4) (/.f64 2 x)))
(.f64 1/4 (+.f64 (.f64 4 (+.f64 x (fabs.f64 x))) (/.f64 2 x)))
(.f64 (.f64 2 (+.f64 (*.f64 (+.f64 x (fabs.f64 x)) 4) (/.f64 2 x))) 1/8)
(.f64 1/4 (+.f64 (.f64 4 (+.f64 x (fabs.f64 x))) (/.f64 2 x)))
(/.f64 (-.f64 x (-.f64 (/.f64 -1/2 x) (fabs.f64 x))) 1)
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 x (fabs.f64 x)))
(+.f64 x (+.f64 (fabs.f64 x) (/.f64 1/2 x)))
(/.f64 (+.f64 (*.f64 (+.f64 x (fabs.f64 x)) 2) (/.f64 1 x)) 2)
(/.f64 (+.f64 (/.f64 1 x) (*.f64 2 (+.f64 x (fabs.f64 x)))) 2)
(+.f64 (/.f64 1/2 x) (*.f64 2 (/.f64 (+.f64 x (fabs.f64 x)) 2)))
(+.f64 (/.f64 1/2 x) (*.f64 (+.f64 x (fabs.f64 x)) 1))
(/.f64 (+.f64 (*.f64 (+.f64 x (fabs.f64 x)) 4) (/.f64 2 x)) 4)
(/.f64 (+.f64 (/.f64 1 x) (*.f64 2 (+.f64 x (fabs.f64 x)))) 2)
(+.f64 (/.f64 1/2 x) (*.f64 2 (/.f64 (+.f64 x (fabs.f64 x)) 2)))
(+.f64 (/.f64 1/2 x) (*.f64 (+.f64 x (fabs.f64 x)) 1))
(/.f64 (.f64 2 (+.f64 (.f64 (+.f64 x (fabs.f64 x)) 4) (/.f64 2 x))) 8)
(/.f64 (.f64 2 (+.f64 (.f64 4 (+.f64 x (fabs.f64 x))) (/.f64 2 x))) 8)
(/.f64 (-.f64 (/.f64 2 x) (neg.f64 (*.f64 (+.f64 x (fabs.f64 x)) 4))) 4)
(/.f64 (+.f64 (/.f64 1 x) (*.f64 2 (+.f64 x (fabs.f64 x)))) 2)
(+.f64 (/.f64 1/2 x) (*.f64 2 (/.f64 (+.f64 x (fabs.f64 x)) 2)))
(+.f64 (/.f64 1/2 x) (*.f64 (+.f64 x (fabs.f64 x)) 1))
(/.f64 (-.f64 (*.f64 (+.f64 x (fabs.f64 x)) 4) (/.f64 -2 x)) 4)
(/.f64 (+.f64 (/.f64 1 x) (*.f64 2 (+.f64 x (fabs.f64 x)))) 2)
(+.f64 (/.f64 1/2 x) (*.f64 2 (/.f64 (+.f64 x (fabs.f64 x)) 2)))
(+.f64 (/.f64 1/2 x) (*.f64 (+.f64 x (fabs.f64 x)) 1))
(/.f64 (-.f64 (-.f64 (+.f64 x x) (/.f64 -1 x)) (*.f64 (fabs.f64 x) -2)) 2)
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 x (fabs.f64 x)))
(+.f64 x (+.f64 (fabs.f64 x) (/.f64 1/2 x)))
(/.f64 (-.f64 (+.f64 (.f64 x 4) (/.f64 2 x)) (neg.f64 (.f64 (fabs.f64 x) 4))) 4)
(/.f64 (-.f64 (+.f64 (/.f64 2 x) (.f64 x 4)) (neg.f64 (.f64 (fabs.f64 x) 4))) 4)
(-.f64 (+.f64 (/.f64 1/2 x) (/.f64 (*.f64 x 4) 4)) (neg.f64 (fabs.f64 x)))
(/.f64 (-.f64 (-.f64 (.f64 (fabs.f64 x) 2) (/.f64 -1 x)) (.f64 x -2)) 2)
(/.f64 (-.f64 (.f64 2 (fabs.f64 x)) (+.f64 (.f64 x -2) (/.f64 -1 x))) 2)
(/.f64 (-.f64 (.f64 2 (fabs.f64 x)) (+.f64 (/.f64 -1 x) (.f64 x -2))) 2)
(-.f64 (/.f64 (-.f64 (.f64 2 (fabs.f64 x)) (.f64 x -2)) 2) (/.f64 -1/2 x))
(/.f64 (-.f64 (+.f64 (/.f64 2 x) (.f64 (fabs.f64 x) 4)) (.f64 x -4)) 4)
(-.f64 (+.f64 (fabs.f64 x) (/.f64 1/2 x)) (/.f64 (*.f64 x -2) 2))
(/.f64 (-.f64 (.f64 (+.f64 (/.f64 1/2 x) (fabs.f64 x)) 4) (.f64 x -4)) 4)
(/.f64 (-.f64 (.f64 4 (+.f64 (fabs.f64 x) (/.f64 1/2 x))) (.f64 x -4)) 4)
(pow.f64 (-.f64 x (-.f64 (/.f64 -1/2 x) (fabs.f64 x))) 1)
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 x (fabs.f64 x)))
(+.f64 x (+.f64 (fabs.f64 x) (/.f64 1/2 x)))
(neg.f64 (-.f64 (/.f64 -1/2 x) (+.f64 x (fabs.f64 x))))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 x (fabs.f64 x)))
(+.f64 x (+.f64 (fabs.f64 x) (/.f64 1/2 x)))

localize60.0ms (0.2%)

Compiler: Compiled 36 to 18 computations (50% saved)

eval1.2s (4.4%)

Compiler: Compiled 10635 to 7017 computations (34% saved)

prune740.0ms (2.7%)

Pruning

14 alts after pruning (8 fresh and 6 done)

	Pruned	Kept	Total
New	512	3	515
Fresh	0	5	5
Picked	0	1	1
Done	1	5	6
Total	513	14	527

Error

27.9b

Counts

527 → 14

Alt Table

Click to see full alt table

Status	Error	Program
✓	57.9b	(copysign.f64 (-.f64 (/.f64 (fabs.f64 x) x) (log.f64 (/.f64 1 x))) x)
	57.4b	(copysign.f64 (-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (/.f64 (fabs.f64 x) x)) x)
	47.4b	(copysign.f64 (+.f64 (log.f64 1/2) (neg.f64 (log.f64 x))) x)
	47.3b	(copysign.f64 (log.f64 (/.f64 1/2 x)) x)
▶	47.2b	(copysign.f64 (log.f64 (-.f64 (/.f64 1 x) (+.f64 (/.f64 1/2 x) (-.f64 (neg.f64 x) (fabs.f64 x))))) x)
▶	46.1b	(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) (+.f64 x (/.f64 1/2 x)))) x)
▶	46.3b	(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x)
✓	47.2b	(copysign.f64 (log.f64 (+.f64 (/.f64 1/2 x) (+.f64 x (fabs.f64 x)))) x)
✓	45.8b	(copysign.f64 (log.f64 (+.f64 (+.f64 (fabs.f64 x) 1) (+.f64 (sqrt.f64 (+.f64 1 (*.f64 x x))) -1))) x)
▶	45.9b	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (.f64 (sqrt.f64 (+.f64 2 (.f64 x (+.f64 x x)))) (sqrt.f64 1/2)))) x)
✓	45.8b	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)
✓	51.4b	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) x)
▶	57.8b	(copysign.f64 (log.f64 (neg.f64 x)) x)
✓	58.2b	(copysign.f64 (log.f64 x) x)

Compiler

Compiled 247 to 173 computations (30% saved)

localize120.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (fabs.f64 x) (.f64 (sqrt.f64 (+.f64 2 (.f64 x (+.f64 x x)))) (sqrt.f64 1/2)))
✓	0.7b	(.f64 (sqrt.f64 (+.f64 2 (.f64 x (+.f64 x x)))) (sqrt.f64 1/2))
✓	1.4b	(log.f64 (+.f64 (fabs.f64 x) (.f64 (sqrt.f64 (+.f64 2 (.f64 x (+.f64 x x)))) (sqrt.f64 1/2))))
✓	16.2b	(sqrt.f64 (+.f64 2 (*.f64 x (+.f64 x x))))

Compiler

Compiled 88 to 43 computations (51.1% saved)

series31.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
15.0ms	x	@	inf	(log.f64 (+.f64 (fabs.f64 x) (.f64 (sqrt.f64 (+.f64 2 (.f64 x (+.f64 x x)))) (sqrt.f64 1/2))))
3.0ms	x	@	0	(log.f64 (+.f64 (fabs.f64 x) (.f64 (sqrt.f64 (+.f64 2 (.f64 x (+.f64 x x)))) (sqrt.f64 1/2))))
1.0ms	x	@	-inf	(.f64 (sqrt.f64 (+.f64 2 (.f64 x (+.f64 x x)))) (sqrt.f64 1/2))
1.0ms	x	@	-inf	(log.f64 (+.f64 (fabs.f64 x) (.f64 (sqrt.f64 (+.f64 2 (.f64 x (+.f64 x x)))) (sqrt.f64 1/2))))
1.0ms	x	@	0	(sqrt.f64 (+.f64 2 (*.f64 x (+.f64 x x))))

rewrite306.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

806×	`rational_best-simplify-63`
734×	`rational_best-simplify-48`
732×	`rational_best-simplify-52`
682×	`rational_best-4`
682×	`rational_best-2`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	15	134
1	104	134
2	202	134
3	515	98
4	1857	98

Stop Event

1×	node limit

Counts

4 → 149

Calls

Call 1

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

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

simplify474.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1478×	`rational_best-simplify-51`
1100×	`rational_best-simplify-50`
1006×	`rational_best-simplify-49`
884×	`rational_best-simplify-55`
858×	`rational_best-simplify-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	519	8065
1	1475	7427
2	3986	7225

Stop Event

1×	node limit

Counts

197 → 340

Calls

Call 1

Inputs
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (/.f64 (pow.f64 x 2) (sqrt.f64 2)))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 2) 3))) (/.f64 (pow.f64 x 2) (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 2) 3))) (+.f64 (/.f64 (pow.f64 x 2) (sqrt.f64 2)) (.f64 1/2 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 2) 5))))))
(*.f64 (sqrt.f64 2) x)
(+.f64 (/.f64 1 (.f64 (sqrt.f64 2) x)) (.f64 (sqrt.f64 2) x))
(-.f64 (+.f64 (/.f64 1 (.f64 (sqrt.f64 2) x)) (.f64 (sqrt.f64 2) x)) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 1 (.f64 (sqrt.f64 2) x)) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 2) 5) (pow.f64 x 5)))) (.f64 (sqrt.f64 2) x))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 x 3)))))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(-.f64 (.f64 -1 (.f64 (sqrt.f64 2) x)) (/.f64 1 (*.f64 (sqrt.f64 2) x)))
(-.f64 (+.f64 (.f64 -1 (.f64 (sqrt.f64 2) x)) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 x 3))))) (/.f64 1 (*.f64 (sqrt.f64 2) x)))
(-.f64 (+.f64 (.f64 -1 (.f64 (sqrt.f64 2) x)) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 x 3))))) (+.f64 (/.f64 1 (.f64 (sqrt.f64 2) x)) (.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 2) 5) (pow.f64 x 5))))))
(log.f64 (+.f64 (fabs.f64 x) (*.f64 (sqrt.f64 2) (sqrt.f64 1/2))))
(+.f64 (log.f64 (+.f64 (fabs.f64 x) (.f64 (sqrt.f64 2) (sqrt.f64 1/2)))) (/.f64 (.f64 (sqrt.f64 1/2) (pow.f64 x 2)) (.f64 (sqrt.f64 2) (+.f64 (fabs.f64 x) (.f64 (sqrt.f64 2) (sqrt.f64 1/2))))))
(+.f64 (log.f64 (+.f64 (fabs.f64 x) (.f64 (sqrt.f64 2) (sqrt.f64 1/2)))) (+.f64 (.f64 1/24 (.f64 (+.f64 (.f64 -12 (/.f64 (pow.f64 (sqrt.f64 1/2) 2) (.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 (+.f64 (fabs.f64 x) (.f64 (sqrt.f64 2) (sqrt.f64 1/2))) 2)))) (.f64 -12 (/.f64 (sqrt.f64 1/2) (.f64 (pow.f64 (sqrt.f64 2) 3) (+.f64 (fabs.f64 x) (.f64 (sqrt.f64 2) (sqrt.f64 1/2))))))) (pow.f64 x 4))) (/.f64 (.f64 (sqrt.f64 1/2) (pow.f64 x 2)) (.f64 (sqrt.f64 2) (+.f64 (fabs.f64 x) (.f64 (sqrt.f64 2) (sqrt.f64 1/2)))))))
(+.f64 (log.f64 (+.f64 (fabs.f64 x) (.f64 (sqrt.f64 2) (sqrt.f64 1/2)))) (+.f64 (.f64 1/720 (.f64 (+.f64 (.f64 360 (/.f64 (pow.f64 (sqrt.f64 1/2) 2) (.f64 (pow.f64 (sqrt.f64 2) 4) (pow.f64 (+.f64 (fabs.f64 x) (.f64 (sqrt.f64 2) (sqrt.f64 1/2))) 2)))) (+.f64 (.f64 240 (/.f64 (pow.f64 (sqrt.f64 1/2) 3) (.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (+.f64 (fabs.f64 x) (.f64 (sqrt.f64 2) (sqrt.f64 1/2))) 3)))) (.f64 360 (/.f64 (sqrt.f64 1/2) (.f64 (pow.f64 (sqrt.f64 2) 5) (+.f64 (fabs.f64 x) (.f64 (sqrt.f64 2) (sqrt.f64 1/2)))))))) (pow.f64 x 6))) (+.f64 (.f64 1/24 (.f64 (+.f64 (.f64 -12 (/.f64 (pow.f64 (sqrt.f64 1/2) 2) (.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 (+.f64 (fabs.f64 x) (.f64 (sqrt.f64 2) (sqrt.f64 1/2))) 2)))) (.f64 -12 (/.f64 (sqrt.f64 1/2) (.f64 (pow.f64 (sqrt.f64 2) 3) (+.f64 (fabs.f64 x) (.f64 (sqrt.f64 2) (sqrt.f64 1/2))))))) (pow.f64 x 4))) (/.f64 (.f64 (sqrt.f64 1/2) (pow.f64 x 2)) (.f64 (sqrt.f64 2) (+.f64 (fabs.f64 x) (*.f64 (sqrt.f64 2) (sqrt.f64 1/2))))))))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (.f64 (sqrt.f64 2) (sqrt.f64 1/2))))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 (.f64 (sqrt.f64 2) (sqrt.f64 1/2))) (/.f64 (fabs.f64 x) (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 1/2) x)))))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 (sqrt.f64 2) 2))) (.f64 -1 (/.f64 (pow.f64 (fabs.f64 x) 2) (.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 (sqrt.f64 1/2) 2))))) (pow.f64 x 2))) (+.f64 (log.f64 (.f64 (sqrt.f64 2) (sqrt.f64 1/2))) (/.f64 (fabs.f64 x) (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 1/2) x))))))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 (sqrt.f64 2) 2))) (.f64 -1 (/.f64 (pow.f64 (fabs.f64 x) 2) (.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 (sqrt.f64 1/2) 2))))) (pow.f64 x 2))) (+.f64 (log.f64 (.f64 (sqrt.f64 2) (sqrt.f64 1/2))) (+.f64 (/.f64 (fabs.f64 x) (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 1/2) x))) (.f64 1/6 (/.f64 (+.f64 (.f64 -6 (/.f64 (fabs.f64 x) (.f64 (pow.f64 (sqrt.f64 2) 3) (sqrt.f64 1/2)))) (.f64 2 (/.f64 (pow.f64 (fabs.f64 x) 3) (*.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (sqrt.f64 1/2) 3))))) (pow.f64 x 3)))))))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (.f64 (sqrt.f64 2) (sqrt.f64 1/2))))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (.f64 -1 (/.f64 (fabs.f64 x) (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 1/2) x)))) (log.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 1/2)))))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (.f64 -1 (/.f64 (fabs.f64 x) (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 1/2) x)))) (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 (sqrt.f64 2) 2))) (.f64 -1 (/.f64 (pow.f64 (fabs.f64 x) 2) (.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 (sqrt.f64 1/2) 2))))) (pow.f64 x 2))) (log.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 1/2))))))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (.f64 -1/6 (/.f64 (+.f64 (.f64 -6 (/.f64 (fabs.f64 x) (.f64 (pow.f64 (sqrt.f64 2) 3) (sqrt.f64 1/2)))) (.f64 2 (/.f64 (pow.f64 (fabs.f64 x) 3) (.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (sqrt.f64 1/2) 3))))) (pow.f64 x 3))) (+.f64 (.f64 -1 (/.f64 (fabs.f64 x) (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 1/2) x)))) (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 (sqrt.f64 2) 2))) (.f64 -1 (/.f64 (pow.f64 (fabs.f64 x) 2) (.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 (sqrt.f64 1/2) 2))))) (pow.f64 x 2))) (log.f64 (.f64 (sqrt.f64 2) (sqrt.f64 1/2)))))))
(*.f64 (sqrt.f64 2) (sqrt.f64 1/2))
(+.f64 (.f64 (sqrt.f64 2) (sqrt.f64 1/2)) (/.f64 (.f64 (sqrt.f64 1/2) (pow.f64 x 2)) (sqrt.f64 2)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (sqrt.f64 1/2) (pow.f64 x 4)) (pow.f64 (sqrt.f64 2) 3))) (+.f64 (.f64 (sqrt.f64 2) (sqrt.f64 1/2)) (/.f64 (.f64 (sqrt.f64 1/2) (pow.f64 x 2)) (sqrt.f64 2))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (sqrt.f64 1/2) (pow.f64 x 4)) (pow.f64 (sqrt.f64 2) 3))) (+.f64 (.f64 1/2 (/.f64 (.f64 (sqrt.f64 1/2) (pow.f64 x 6)) (pow.f64 (sqrt.f64 2) 5))) (+.f64 (.f64 (sqrt.f64 2) (sqrt.f64 1/2)) (/.f64 (.f64 (sqrt.f64 1/2) (pow.f64 x 2)) (sqrt.f64 2)))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 1/2) x))
(+.f64 (/.f64 (sqrt.f64 1/2) (.f64 (sqrt.f64 2) x)) (.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 1/2) x)))
(+.f64 (/.f64 (sqrt.f64 1/2) (.f64 (sqrt.f64 2) x)) (+.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 1/2) x)) (.f64 -1/2 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 x 3))))))
(+.f64 (/.f64 (sqrt.f64 1/2) (.f64 (sqrt.f64 2) x)) (+.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 1/2) x)) (+.f64 (.f64 1/2 (/.f64 (sqrt.f64 1/2) (.f64 (pow.f64 (sqrt.f64 2) 5) (pow.f64 x 5)))) (.f64 -1/2 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 x 3)))))))
(.f64 -1 (.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 1/2) x)))
(+.f64 (.f64 -1 (/.f64 (sqrt.f64 1/2) (.f64 (sqrt.f64 2) x))) (.f64 -1 (.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 1/2) x))))
(+.f64 (.f64 -1 (/.f64 (sqrt.f64 1/2) (.f64 (sqrt.f64 2) x))) (+.f64 (.f64 1/2 (/.f64 (sqrt.f64 1/2) (.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 x 3)))) (.f64 -1 (.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 1/2) x)))))
(+.f64 (.f64 -1 (/.f64 (sqrt.f64 1/2) (.f64 (sqrt.f64 2) x))) (+.f64 (.f64 1/2 (/.f64 (sqrt.f64 1/2) (.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 x 3)))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 1/2) x))) (.f64 -1/2 (/.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 (sqrt.f64 2) 5) (pow.f64 x 5)))))))
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(-.f64 (-.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) (-.f64 (/.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) 2) (fabs.f64 x))) (-.f64 (/.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) 2) (sqrt.f64 (+.f64 1 (.f64 x x)))))
(.f64 1/2 (.f64 2 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (*.f64 x x))))))
(.f64 1/2 (-.f64 (sqrt.f64 (+.f64 2 (+.f64 2 (.f64 x (.f64 x 4))))) (.f64 (fabs.f64 x) -2)))
(.f64 1/2 (+.f64 (.f64 2 (fabs.f64 x)) (sqrt.f64 (+.f64 2 (+.f64 2 (.f64 x (.f64 x 4)))))))
(.f64 1/2 (+.f64 (sqrt.f64 (+.f64 2 (+.f64 2 (.f64 x (.f64 x 4))))) (.f64 2 (fabs.f64 x))))
(.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (.f64 x x)))) 1)
(.f64 1 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (.f64 x x)))))
(.f64 -1 (-.f64 (neg.f64 (fabs.f64 x)) (sqrt.f64 (+.f64 1 (.f64 x x)))))
(.f64 1/4 (.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (*.f64 x x)))) 4))
(.f64 (-.f64 (neg.f64 (fabs.f64 x)) (sqrt.f64 (+.f64 1 (.f64 x x)))) -1)
(.f64 (.f64 2 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (*.f64 x x))))) 1/2)
(.f64 (.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (*.f64 x x)))) 4) 1/4)
(.f64 (.f64 (.f64 2 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (.f64 x x))))) 4) 1/8)
(/.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (*.f64 x x)))) 1)
(/.f64 (-.f64 (neg.f64 (fabs.f64 x)) (sqrt.f64 (+.f64 1 (*.f64 x x)))) -1)
(/.f64 (.f64 2 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (.f64 x x))))) 2)
(/.f64 (.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (.f64 x x)))) 4) 4)
(/.f64 (.f64 (.f64 2 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (*.f64 x x))))) 4) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) 4)) (.f64 2 (*.f64 (fabs.f64 x) 4))) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (fabs.f64 x) 4)) (.f64 2 (.f64 (sqrt.f64 (+.f64 1 (*.f64 x x))) 4))) 8)
(/.f64 (-.f64 (.f64 (fabs.f64 x) 4) (neg.f64 (.f64 (sqrt.f64 (+.f64 1 (*.f64 x x))) 4))) 4)
(/.f64 (-.f64 (.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) 4) (neg.f64 (*.f64 (fabs.f64 x) 4))) 4)
(/.f64 (-.f64 (.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) 4) (.f64 2 (-.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) (fabs.f64 x)))) 2)
(pow.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (*.f64 x x)))) 1)
(neg.f64 (-.f64 (neg.f64 (fabs.f64 x)) (sqrt.f64 (+.f64 1 (*.f64 x x)))))

Outputs
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (/.f64 (pow.f64 x 2) (sqrt.f64 2)))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 2) 3))) (/.f64 (pow.f64 x 2) (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (+.f64 (/.f64 (pow.f64 x 2) (sqrt.f64 2)) (*.f64 -1/2 (/.f64 (pow.f64 x 4) (sqrt.f64 8)))))
(+.f64 (/.f64 (pow.f64 x 2) (sqrt.f64 2)) (+.f64 (sqrt.f64 2) (*.f64 -1/2 (/.f64 (pow.f64 x 4) (sqrt.f64 8)))))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 2) 3))) (+.f64 (/.f64 (pow.f64 x 2) (sqrt.f64 2)) (.f64 1/2 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 2) 5))))))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 4) (sqrt.f64 8))) (+.f64 (/.f64 (pow.f64 x 2) (sqrt.f64 2)) (.f64 (pow.f64 x 6) (/.f64 1/2 (sqrt.f64 32))))))
(+.f64 (+.f64 (/.f64 (pow.f64 x 2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (pow.f64 x 4) (sqrt.f64 8)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 x 6) (sqrt.f64 32))) (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) x)
(+.f64 (/.f64 1 (.f64 (sqrt.f64 2) x)) (.f64 (sqrt.f64 2) x))
(+.f64 (.f64 (sqrt.f64 2) x) (/.f64 1 (.f64 (sqrt.f64 2) x)))
(-.f64 (+.f64 (/.f64 1 (.f64 (sqrt.f64 2) x)) (.f64 (sqrt.f64 2) x)) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 x 3)))))
(-.f64 (+.f64 (.f64 (sqrt.f64 2) x) (/.f64 1 (.f64 (sqrt.f64 2) x))) (.f64 1 (/.f64 1/2 (pow.f64 (.f64 (sqrt.f64 2) x) 3))))
(-.f64 (+.f64 (.f64 (sqrt.f64 2) x) (/.f64 1 (.f64 (sqrt.f64 2) x))) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 8) (pow.f64 x 3)))))
(-.f64 (+.f64 (.f64 (sqrt.f64 2) x) (/.f64 1 (.f64 (sqrt.f64 2) x))) (/.f64 1/2 (*.f64 (sqrt.f64 8) (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 1 (.f64 (sqrt.f64 2) x)) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 2) 5) (pow.f64 x 5)))) (.f64 (sqrt.f64 2) x))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 x 3)))))
(-.f64 (+.f64 (.f64 (sqrt.f64 2) x) (+.f64 (/.f64 1 (.f64 (sqrt.f64 2) x)) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 32) (pow.f64 x 5)))))) (.f64 1 (/.f64 1/2 (pow.f64 (.f64 (sqrt.f64 2) x) 3))))
(-.f64 (+.f64 (/.f64 1 (.f64 (sqrt.f64 2) x)) (+.f64 (.f64 (sqrt.f64 2) x) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 32) (pow.f64 x 5)))))) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 8) (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 1/2 (.f64 (sqrt.f64 32) (pow.f64 x 5))) (+.f64 (.f64 (sqrt.f64 2) x) (/.f64 1 (.f64 (sqrt.f64 2) x)))) (/.f64 1/2 (.f64 (sqrt.f64 8) (pow.f64 x 3))))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 x (.f64 (sqrt.f64 2) -1))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(-.f64 (.f64 -1 (.f64 (sqrt.f64 2) x)) (/.f64 1 (*.f64 (sqrt.f64 2) x)))
(-.f64 (.f64 x (.f64 (sqrt.f64 2) -1)) (/.f64 1 (*.f64 (sqrt.f64 2) x)))
(-.f64 (.f64 (sqrt.f64 2) (neg.f64 x)) (/.f64 1 (.f64 (sqrt.f64 2) x)))
(-.f64 (+.f64 (.f64 -1 (.f64 (sqrt.f64 2) x)) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 x 3))))) (/.f64 1 (*.f64 (sqrt.f64 2) x)))
(-.f64 (+.f64 (.f64 1 (/.f64 1/2 (pow.f64 (.f64 (sqrt.f64 2) x) 3))) (.f64 x (.f64 (sqrt.f64 2) -1))) (/.f64 1 (*.f64 (sqrt.f64 2) x)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 8) (pow.f64 x 3)))) (.f64 (sqrt.f64 2) (neg.f64 x))) (/.f64 1 (.f64 (sqrt.f64 2) x)))
(-.f64 (+.f64 (/.f64 1/2 (.f64 (sqrt.f64 8) (pow.f64 x 3))) (.f64 (sqrt.f64 2) (neg.f64 x))) (/.f64 1 (*.f64 (sqrt.f64 2) x)))
(-.f64 (+.f64 (.f64 -1 (.f64 (sqrt.f64 2) x)) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 x 3))))) (+.f64 (/.f64 1 (.f64 (sqrt.f64 2) x)) (.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 2) 5) (pow.f64 x 5))))))
(-.f64 (+.f64 (.f64 1 (/.f64 1/2 (pow.f64 (.f64 (sqrt.f64 2) x) 3))) (.f64 x (.f64 (sqrt.f64 2) -1))) (+.f64 (/.f64 1 (.f64 (sqrt.f64 2) x)) (.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 32) (pow.f64 x 5))))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 8) (pow.f64 x 3)))) (.f64 (sqrt.f64 2) (neg.f64 x))) (+.f64 (/.f64 1 (.f64 (sqrt.f64 2) x)) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 32) (pow.f64 x 5))))))
(+.f64 (-.f64 (+.f64 (/.f64 1/2 (.f64 (sqrt.f64 8) (pow.f64 x 3))) (.f64 (sqrt.f64 2) (neg.f64 x))) (/.f64 1/2 (.f64 (sqrt.f64 32) (pow.f64 x 5)))) (/.f64 -1 (.f64 (sqrt.f64 2) x)))
(log.f64 (+.f64 (fabs.f64 x) (*.f64 (sqrt.f64 2) (sqrt.f64 1/2))))
(log.f64 (+.f64 1 (fabs.f64 x)))
(+.f64 (log.f64 (+.f64 (fabs.f64 x) (.f64 (sqrt.f64 2) (sqrt.f64 1/2)))) (/.f64 (.f64 (sqrt.f64 1/2) (pow.f64 x 2)) (.f64 (sqrt.f64 2) (+.f64 (fabs.f64 x) (.f64 (sqrt.f64 2) (sqrt.f64 1/2))))))
(+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (/.f64 (.f64 (pow.f64 x 2) (sqrt.f64 1/2)) (.f64 (sqrt.f64 2) (+.f64 1 (fabs.f64 x)))))
(+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (/.f64 (/.f64 (*.f64 (pow.f64 x 2) (sqrt.f64 1/2)) (+.f64 1 (fabs.f64 x))) (sqrt.f64 2)))
(+.f64 (log.f64 (+.f64 (fabs.f64 x) (.f64 (sqrt.f64 2) (sqrt.f64 1/2)))) (+.f64 (.f64 1/24 (.f64 (+.f64 (.f64 -12 (/.f64 (pow.f64 (sqrt.f64 1/2) 2) (.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 (+.f64 (fabs.f64 x) (.f64 (sqrt.f64 2) (sqrt.f64 1/2))) 2)))) (.f64 -12 (/.f64 (sqrt.f64 1/2) (.f64 (pow.f64 (sqrt.f64 2) 3) (+.f64 (fabs.f64 x) (.f64 (sqrt.f64 2) (sqrt.f64 1/2))))))) (pow.f64 x 4))) (/.f64 (.f64 (sqrt.f64 1/2) (pow.f64 x 2)) (.f64 (sqrt.f64 2) (+.f64 (fabs.f64 x) (.f64 (sqrt.f64 2) (sqrt.f64 1/2)))))))
(+.f64 (/.f64 (.f64 (pow.f64 x 2) (sqrt.f64 1/2)) (.f64 (sqrt.f64 2) (+.f64 1 (fabs.f64 x)))) (+.f64 (.f64 (pow.f64 x 4) (.f64 (+.f64 (.f64 -12 (/.f64 1/4 (pow.f64 (+.f64 1 (fabs.f64 x)) 2))) (.f64 (sqrt.f64 1/2) (/.f64 -12 (*.f64 (sqrt.f64 8) (+.f64 1 (fabs.f64 x)))))) 1/24)) (log.f64 (+.f64 1 (fabs.f64 x)))))
(+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (+.f64 (/.f64 (.f64 (pow.f64 x 2) (sqrt.f64 1/2)) (.f64 (sqrt.f64 2) (+.f64 1 (fabs.f64 x)))) (.f64 (pow.f64 x 4) (.f64 1/24 (.f64 -12 (+.f64 (/.f64 1/4 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)) (/.f64 (sqrt.f64 1/2) (.f64 (sqrt.f64 8) (+.f64 1 (fabs.f64 x))))))))))
(+.f64 (/.f64 (/.f64 (.f64 (pow.f64 x 2) (sqrt.f64 1/2)) (+.f64 1 (fabs.f64 x))) (sqrt.f64 2)) (+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (.f64 (pow.f64 x 4) (.f64 (+.f64 (/.f64 1/4 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)) (/.f64 (sqrt.f64 1/2) (.f64 (sqrt.f64 8) (+.f64 1 (fabs.f64 x))))) -1/2))))
(+.f64 (log.f64 (+.f64 (fabs.f64 x) (.f64 (sqrt.f64 2) (sqrt.f64 1/2)))) (+.f64 (.f64 1/720 (.f64 (+.f64 (.f64 360 (/.f64 (pow.f64 (sqrt.f64 1/2) 2) (.f64 (pow.f64 (sqrt.f64 2) 4) (pow.f64 (+.f64 (fabs.f64 x) (.f64 (sqrt.f64 2) (sqrt.f64 1/2))) 2)))) (+.f64 (.f64 240 (/.f64 (pow.f64 (sqrt.f64 1/2) 3) (.f64 (pow.f64 (sqrt.f64 2) 3) (pow.f64 (+.f64 (fabs.f64 x) (.f64 (sqrt.f64 2) (sqrt.f64 1/2))) 3)))) (.f64 360 (/.f64 (sqrt.f64 1/2) (.f64 (pow.f64 (sqrt.f64 2) 5) (+.f64 (fabs.f64 x) (.f64 (sqrt.f64 2) (sqrt.f64 1/2)))))))) (pow.f64 x 6))) (+.f64 (.f64 1/24 (.f64 (+.f64 (.f64 -12 (/.f64 (pow.f64 (sqrt.f64 1/2) 2) (.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 (+.f64 (fabs.f64 x) (.f64 (sqrt.f64 2) (sqrt.f64 1/2))) 2)))) (.f64 -12 (/.f64 (sqrt.f64 1/2) (.f64 (pow.f64 (sqrt.f64 2) 3) (+.f64 (fabs.f64 x) (.f64 (sqrt.f64 2) (sqrt.f64 1/2))))))) (pow.f64 x 4))) (/.f64 (.f64 (sqrt.f64 1/2) (pow.f64 x 2)) (.f64 (sqrt.f64 2) (+.f64 (fabs.f64 x) (*.f64 (sqrt.f64 2) (sqrt.f64 1/2))))))))
(+.f64 (+.f64 (/.f64 (.f64 (pow.f64 x 2) (sqrt.f64 1/2)) (.f64 (sqrt.f64 2) (+.f64 1 (fabs.f64 x)))) (.f64 (pow.f64 x 4) (.f64 (+.f64 (.f64 -12 (/.f64 1/4 (pow.f64 (+.f64 1 (fabs.f64 x)) 2))) (.f64 (sqrt.f64 1/2) (/.f64 -12 (.f64 (sqrt.f64 8) (+.f64 1 (fabs.f64 x)))))) 1/24))) (+.f64 (.f64 (pow.f64 x 6) (.f64 (+.f64 (.f64 360 (/.f64 1/8 (pow.f64 (+.f64 1 (fabs.f64 x)) 2))) (+.f64 (.f64 240 (/.f64 (/.f64 (sqrt.f64 1/8) (sqrt.f64 8)) (pow.f64 (+.f64 1 (fabs.f64 x)) 3))) (.f64 360 (/.f64 (/.f64 (sqrt.f64 1/2) (sqrt.f64 32)) (+.f64 1 (fabs.f64 x)))))) 1/720)) (log.f64 (+.f64 1 (fabs.f64 x)))))
(+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (+.f64 (/.f64 (.f64 (pow.f64 x 2) (sqrt.f64 1/2)) (.f64 (sqrt.f64 2) (+.f64 1 (fabs.f64 x)))) (+.f64 (.f64 (pow.f64 x 4) (.f64 1/24 (.f64 -12 (+.f64 (/.f64 1/4 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)) (/.f64 (sqrt.f64 1/2) (.f64 (sqrt.f64 8) (+.f64 1 (fabs.f64 x)))))))) (.f64 (pow.f64 x 6) (.f64 1/720 (+.f64 (.f64 360 (/.f64 1/8 (pow.f64 (+.f64 1 (fabs.f64 x)) 2))) (+.f64 (.f64 240 (/.f64 (sqrt.f64 1/8) (.f64 (sqrt.f64 8) (pow.f64 (+.f64 1 (fabs.f64 x)) 3)))) (.f64 360 (/.f64 (/.f64 (sqrt.f64 1/2) (sqrt.f64 32)) (+.f64 1 (fabs.f64 x)))))))))))
(+.f64 (+.f64 (/.f64 (/.f64 (.f64 (pow.f64 x 2) (sqrt.f64 1/2)) (+.f64 1 (fabs.f64 x))) (sqrt.f64 2)) (.f64 (pow.f64 x 4) (.f64 (+.f64 (/.f64 1/4 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)) (/.f64 (sqrt.f64 1/2) (.f64 (sqrt.f64 8) (+.f64 1 (fabs.f64 x))))) -1/2))) (+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (.f64 (+.f64 (.f64 240 (/.f64 (/.f64 (sqrt.f64 1/8) (sqrt.f64 8)) (pow.f64 (+.f64 1 (fabs.f64 x)) 3))) (+.f64 (.f64 (sqrt.f64 1/2) (/.f64 (/.f64 360 (sqrt.f64 32)) (+.f64 1 (fabs.f64 x)))) (.f64 1/8 (/.f64 360 (pow.f64 (+.f64 1 (fabs.f64 x)) 2))))) (*.f64 (pow.f64 x 6) 1/720))))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (.f64 (sqrt.f64 2) (sqrt.f64 1/2))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) 0)
(neg.f64 (log.f64 (/.f64 1 x)))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 (.f64 (sqrt.f64 2) (sqrt.f64 1/2))) (/.f64 (fabs.f64 x) (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 1/2) x)))))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (/.f64 (fabs.f64 x) (.f64 x 1)) 0))
(+.f64 (neg.f64 (log.f64 (/.f64 1 x))) (/.f64 (fabs.f64 x) x))
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(+.f64 (+.f64 (/.f64 (fabs.f64 x) (.f64 x 1)) 0) (+.f64 (.f64 (+.f64 1 (.f64 (pow.f64 (fabs.f64 x) 2) -1)) (/.f64 1/2 (pow.f64 x 2))) (.f64 -1 (log.f64 (/.f64 1 x)))))
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(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) 0)
(neg.f64 (log.f64 (/.f64 -1 x)))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (.f64 -1 (/.f64 (fabs.f64 x) (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 1/2) x)))) (log.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 1/2)))))
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(/.f64 (.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (.f64 x x)))) 4) 4)
(-.f64 (fabs.f64 x) (neg.f64 (sqrt.f64 (+.f64 1 (*.f64 x x)))))
(+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (*.f64 x x))))
(/.f64 (.f64 (.f64 2 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (*.f64 x x))))) 4) 8)
(-.f64 (fabs.f64 x) (neg.f64 (sqrt.f64 (+.f64 1 (*.f64 x x)))))
(+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (*.f64 x x))))
(/.f64 (+.f64 (.f64 2 (.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) 4)) (.f64 2 (*.f64 (fabs.f64 x) 4))) 8)
(/.f64 (+.f64 (.f64 2 (.f64 4 (sqrt.f64 (+.f64 1 (.f64 x x))))) (.f64 2 (*.f64 4 (fabs.f64 x)))) 8)
(/.f64 (+.f64 (.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) 8) (*.f64 (fabs.f64 x) 8)) 8)
(-.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) (/.f64 (.f64 (fabs.f64 x) 8) -8))
(/.f64 (+.f64 (.f64 2 (.f64 (fabs.f64 x) 4)) (.f64 2 (.f64 (sqrt.f64 (+.f64 1 (*.f64 x x))) 4))) 8)
(/.f64 (+.f64 (.f64 2 (.f64 4 (sqrt.f64 (+.f64 1 (.f64 x x))))) (.f64 2 (*.f64 4 (fabs.f64 x)))) 8)
(/.f64 (+.f64 (.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) 8) (*.f64 (fabs.f64 x) 8)) 8)
(-.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) (/.f64 (.f64 (fabs.f64 x) 8) -8))
(/.f64 (-.f64 (.f64 (fabs.f64 x) 4) (neg.f64 (.f64 (sqrt.f64 (+.f64 1 (*.f64 x x))) 4))) 4)
(/.f64 (-.f64 (.f64 4 (fabs.f64 x)) (neg.f64 (.f64 4 (sqrt.f64 (+.f64 1 (*.f64 x x)))))) 4)
(/.f64 (-.f64 (.f64 4 (sqrt.f64 (+.f64 1 (.f64 x x)))) (neg.f64 (*.f64 4 (fabs.f64 x)))) 4)
(-.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) (/.f64 (.f64 4 (fabs.f64 x)) -4))
(/.f64 (-.f64 (.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) 4) (neg.f64 (*.f64 (fabs.f64 x) 4))) 4)
(/.f64 (-.f64 (.f64 4 (fabs.f64 x)) (neg.f64 (.f64 4 (sqrt.f64 (+.f64 1 (*.f64 x x)))))) 4)
(/.f64 (-.f64 (.f64 4 (sqrt.f64 (+.f64 1 (.f64 x x)))) (neg.f64 (*.f64 4 (fabs.f64 x)))) 4)
(-.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) (/.f64 (.f64 4 (fabs.f64 x)) -4))
(/.f64 (-.f64 (.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) 4) (.f64 2 (-.f64 (sqrt.f64 (+.f64 1 (.f64 x x))) (fabs.f64 x)))) 2)
(-.f64 (fabs.f64 x) (neg.f64 (sqrt.f64 (+.f64 1 (*.f64 x x)))))
(+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (*.f64 x x))))
(pow.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (*.f64 x x)))) 1)
(-.f64 (fabs.f64 x) (neg.f64 (sqrt.f64 (+.f64 1 (*.f64 x x)))))
(+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (*.f64 x x))))
(neg.f64 (-.f64 (neg.f64 (fabs.f64 x)) (sqrt.f64 (+.f64 1 (*.f64 x x)))))
(-.f64 (fabs.f64 x) (neg.f64 (sqrt.f64 (+.f64 1 (*.f64 x x)))))
(+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 1 (*.f64 x x))))

localize25.0ms (0.1%)

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

localize45.0ms (0.2%)

Compiler: Compiled 20 to 5 computations (75% saved)

localize77.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 41 to 23 computations (43.9% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite259.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1016×	`rational_best-4`
1016×	`rational_best-2`
1016×	`rational_best-3`
1016×	`rational_best-1`
1016×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	64	23
2	155	23
3	495	23
4	2378	23

Stop Event

1×	node limit

Counts

1 → 80

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (fabs.f64 x) (-.f64 (/.f64 -1/2 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/2 x) (+.f64 (-.f64 (fabs.f64 x) x) (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fabs.f64 x) (-.f64 x (/.f64 -1/2 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (fabs.f64 x) (-.f64 x (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fabs.f64 x) x) (/.f64 -1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (fabs.f64 x)) (+.f64 (/.f64 -1/2 x) (*.f64 (-.f64 x (fabs.f64 x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) (+.f64 (fabs.f64 x) (/.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (fabs.f64 x) (/.f64 -1/2 x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 -1/2 x) x) (fabs.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (fabs.f64 x)) (-.f64 (fabs.f64 (+.f64 x x)) (-.f64 x (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fabs.f64 (+.f64 x x)) (-.f64 x (/.f64 -1/2 x))) (neg.f64 (fabs.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 -1/2 x) (*.f64 (-.f64 x (fabs.f64 x)) -2)) (-.f64 x (fabs.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (-.f64 (fabs.f64 x) x) (/.f64 -1 x)) (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (fabs.f64 x) 2) (+.f64 (-.f64 (/.f64 -1/2 x) x) (/.f64 (fabs.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 -1/4 x) (/.f64 (-.f64 (fabs.f64 x) x) 2)) (+.f64 (/.f64 -1/4 x) (/.f64 (-.f64 (fabs.f64 x) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x -2) (/.f64 (-.f64 (+.f64 (fabs.f64 (+.f64 x x)) (/.f64 -1 x)) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (-.f64 (/.f64 -1/2 x) x) (/.f64 (fabs.f64 x) 2)) (/.f64 (fabs.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1/4 x) (-.f64 (-.f64 (fabs.f64 x) x) (/.f64 1/4 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1/4 x) (/.f64 (+.f64 (/.f64 -1/2 x) (*.f64 (-.f64 x (fabs.f64 x)) -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fabs.f64 x) (+.f64 (/.f64 1/4 x) (/.f64 x 2))) (/.f64 (-.f64 x (/.f64 -1/2 x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 x (/.f64 -1/2 x)) -2) (-.f64 (fabs.f64 x) (+.f64 (/.f64 1/4 x) (/.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 x (/.f64 -1/2 x)) -2) (/.f64 (-.f64 (fabs.f64 (+.f64 x x)) (-.f64 x (/.f64 -1/2 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (-.f64 (fabs.f64 x) x) (/.f64 1/4 x)) (/.f64 -1/4 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 (fabs.f64 x) x) 2) (/.f64 (+.f64 (-.f64 (fabs.f64 x) x) (/.f64 -1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (-.f64 (fabs.f64 x) x) (/.f64 -1 x)) 2) (/.f64 (-.f64 (fabs.f64 x) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (/.f64 -1/2 x) (*.f64 (-.f64 x (fabs.f64 x)) -2)) 2) (/.f64 -1/4 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 (+.f64 x x)) (/.f64 -1 x)) x) 2) (/.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 (fabs.f64 (+.f64 x x)) (-.f64 x (/.f64 -1/2 x))) 2) (/.f64 (-.f64 x (/.f64 -1/2 x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 -1/2 x) (/.f64 (fabs.f64 x) 2)) (-.f64 (/.f64 (fabs.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (fabs.f64 x) 2) x) (+.f64 (/.f64 -1/2 x) (/.f64 (fabs.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 x) (-.f64 1 (-.f64 (/.f64 1/2 x) (fabs.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (-.f64 x (fabs.f64 x))) (-.f64 1 (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (/.f64 1/2 x)) (-.f64 -1 (-.f64 x (fabs.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (/.f64 1/2 x)) (-.f64 1 (-.f64 x (fabs.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (-.f64 x (fabs.f64 x))) (-.f64 -1 (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (neg.f64 (fabs.f64 x))) (-.f64 1 (-.f64 x (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (*.f64 -2 (fabs.f64 x))) (-.f64 1 (+.f64 (fabs.f64 x) (-.f64 x (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (*.f64 -3 (/.f64 (fabs.f64 x) 2))) (-.f64 1 (+.f64 (-.f64 x (/.f64 -1/2 x)) (/.f64 (fabs.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (-.f64 x (/.f64 -1/2 x))) (-.f64 1 (neg.f64 (fabs.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (-.f64 (/.f64 1/2 x) (fabs.f64 x))) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (-.f64 (-.f64 (fabs.f64 x) x) (/.f64 -1/2 x))) (-.f64 1 (*.f64 (-.f64 x (fabs.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (*.f64 (-.f64 x (fabs.f64 x)) 2)) (-.f64 1 (-.f64 (-.f64 (fabs.f64 x) x) (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (/.f64 1 x)) (-.f64 1 (+.f64 (/.f64 -1/2 x) (-.f64 x (fabs.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (-.f64 (+.f64 x x) (fabs.f64 x))) (-.f64 1 (+.f64 (/.f64 1/2 x) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (+.f64 x (-.f64 x (fabs.f64 x)))) (-.f64 1 (+.f64 (/.f64 1/2 x) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (-.f64 x (fabs.f64 (+.f64 x x)))) (-.f64 1 (+.f64 (fabs.f64 x) (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (+.f64 (fabs.f64 x) (/.f64 1/2 x))) (-.f64 1 (-.f64 x (fabs.f64 (+.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (+.f64 (fabs.f64 x) (-.f64 x (/.f64 -1/2 x)))) (-.f64 1 (*.f64 -2 (fabs.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (+.f64 (/.f64 -1/2 x) (-.f64 x (fabs.f64 x)))) (-.f64 1 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (+.f64 (-.f64 x (/.f64 -1/2 x)) (/.f64 (fabs.f64 x) 2))) (-.f64 1 (*.f64 -3 (/.f64 (fabs.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (+.f64 (/.f64 1/2 x) (neg.f64 x))) (-.f64 1 (-.f64 (+.f64 x x) (fabs.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (+.f64 (/.f64 1/2 x) (neg.f64 x))) (-.f64 1 (+.f64 x (-.f64 x (fabs.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (*.f64 (-.f64 x (fabs.f64 x)) -2) (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (-.f64 (+.f64 (fabs.f64 (+.f64 x x)) (/.f64 -1 x)) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (fabs.f64 x) (-.f64 x (/.f64 -1/2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (fabs.f64 x) (-.f64 x (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (+.f64 x (-.f64 (/.f64 1/2 x) (fabs.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (-.f64 (/.f64 1/2 x) (fabs.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 (/.f64 -1/4 x) (/.f64 (-.f64 (fabs.f64 x) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (-.f64 (fabs.f64 x) (-.f64 x (/.f64 -1/2 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (-.f64 x (fabs.f64 x)) -2) (/.f64 -1 x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (fabs.f64 x) (-.f64 x (/.f64 -1/2 x))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (-.f64 (fabs.f64 x) (-.f64 x (/.f64 -1/2 x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 (-.f64 (fabs.f64 x) (-.f64 x (/.f64 -1/2 x))) 4)) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (fabs.f64 x) (-.f64 x (/.f64 -1/2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (-.f64 (/.f64 1/2 x) (fabs.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (-.f64 x (fabs.f64 x)) -2) (/.f64 -1 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (fabs.f64 x) (-.f64 x (/.f64 -1/2 x))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -2 (-.f64 (fabs.f64 x) (-.f64 x (/.f64 -1/2 x)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 (fabs.f64 x) (-.f64 x (/.f64 -1/2 x))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 -2 (-.f64 (fabs.f64 x) (-.f64 x (/.f64 -1/2 x))))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 x x) (+.f64 (fabs.f64 (+.f64 x x)) (/.f64 -1 x))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 -2 (-.f64 (fabs.f64 x) (-.f64 x (/.f64 -1/2 x)))) 2) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 (*.f64 -2 (-.f64 (fabs.f64 x) (-.f64 x (/.f64 -1/2 x))))) -1) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (+.f64 x x) (+.f64 (fabs.f64 (+.f64 x x)) (/.f64 -1 x))) -1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 -2 (-.f64 (fabs.f64 x) (-.f64 x (/.f64 -1/2 x)))) 2) -1) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 (fabs.f64 x) (-.f64 x (/.f64 -1/2 x))) 4)) (*.f64 2 (*.f64 (-.f64 (fabs.f64 x) (-.f64 x (/.f64 -1/2 x))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (fabs.f64 x) (-.f64 x (/.f64 -1/2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 x (-.f64 (/.f64 1/2 x) (fabs.f64 x))))))))

simplify358.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1622×	`rational_best-simplify-75`
1594×	`rational_best-simplify-76`
952×	`rational_best-simplify-66`
774×	`rational_best-simplify-55`
748×	`rational_best-simplify-50`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	208	3216
1	459	3204
2	1060	2534
3	3666	2534

Stop Event

1×	node limit

Counts

92 → 133

Calls

Call 1

Inputs
(/.f64 -1/2 x)
(-.f64 (fabs.f64 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (fabs.f64 x) (.f64 -1 x)) (.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (fabs.f64 x) (.f64 -1 x)) (.f64 1/2 (/.f64 1 x)))
(*.f64 -1 x)
(+.f64 (fabs.f64 x) (*.f64 -1 x))
(-.f64 (+.f64 (fabs.f64 x) (.f64 -1 x)) (.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (fabs.f64 x) (.f64 -1 x)) (.f64 1/2 (/.f64 1 x)))
(*.f64 -1 x)
(+.f64 (fabs.f64 x) (*.f64 -1 x))
(-.f64 (+.f64 (fabs.f64 x) (.f64 -1 x)) (.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (fabs.f64 x) (.f64 -1 x)) (.f64 1/2 (/.f64 1 x)))
(+.f64 (fabs.f64 x) (-.f64 (/.f64 -1/2 x) x))
(+.f64 (/.f64 1/2 x) (+.f64 (-.f64 (fabs.f64 x) x) (/.f64 -1 x)))
(+.f64 (-.f64 (fabs.f64 x) (-.f64 x (/.f64 -1/2 x))) 0)
(+.f64 0 (-.f64 (fabs.f64 x) (-.f64 x (/.f64 -1/2 x))))
(+.f64 (-.f64 (fabs.f64 x) x) (/.f64 -1/2 x))
(+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x))
(+.f64 (-.f64 x (fabs.f64 x)) (+.f64 (/.f64 -1/2 x) (*.f64 (-.f64 x (fabs.f64 x)) -2)))
(+.f64 (neg.f64 x) (+.f64 (fabs.f64 x) (/.f64 -1/2 x)))
(+.f64 (+.f64 (fabs.f64 x) (/.f64 -1/2 x)) (neg.f64 x))
(+.f64 (-.f64 (/.f64 -1/2 x) x) (fabs.f64 x))
(+.f64 (neg.f64 (fabs.f64 x)) (-.f64 (fabs.f64 (+.f64 x x)) (-.f64 x (/.f64 -1/2 x))))
(+.f64 (-.f64 (fabs.f64 (+.f64 x x)) (-.f64 x (/.f64 -1/2 x))) (neg.f64 (fabs.f64 x)))
(+.f64 (+.f64 (/.f64 -1/2 x) (*.f64 (-.f64 x (fabs.f64 x)) -2)) (-.f64 x (fabs.f64 x)))
(+.f64 (+.f64 (-.f64 (fabs.f64 x) x) (/.f64 -1 x)) (/.f64 1/2 x))
(+.f64 (/.f64 (fabs.f64 x) 2) (+.f64 (-.f64 (/.f64 -1/2 x) x) (/.f64 (fabs.f64 x) 2)))
(+.f64 (+.f64 (/.f64 -1/4 x) (/.f64 (-.f64 (fabs.f64 x) x) 2)) (+.f64 (/.f64 -1/4 x) (/.f64 (-.f64 (fabs.f64 x) x) 2)))
(+.f64 (/.f64 x -2) (/.f64 (-.f64 (+.f64 (fabs.f64 (+.f64 x x)) (/.f64 -1 x)) x) 2))
(+.f64 (+.f64 (-.f64 (/.f64 -1/2 x) x) (/.f64 (fabs.f64 x) 2)) (/.f64 (fabs.f64 x) 2))
(+.f64 (/.f64 -1/4 x) (-.f64 (-.f64 (fabs.f64 x) x) (/.f64 1/4 x)))
(+.f64 (/.f64 -1/4 x) (/.f64 (+.f64 (/.f64 -1/2 x) (*.f64 (-.f64 x (fabs.f64 x)) -2)) 2))
(+.f64 (-.f64 (fabs.f64 x) (+.f64 (/.f64 1/4 x) (/.f64 x 2))) (/.f64 (-.f64 x (/.f64 -1/2 x)) -2))
(+.f64 (/.f64 (-.f64 x (/.f64 -1/2 x)) -2) (-.f64 (fabs.f64 x) (+.f64 (/.f64 1/4 x) (/.f64 x 2))))
(+.f64 (/.f64 (-.f64 x (/.f64 -1/2 x)) -2) (/.f64 (-.f64 (fabs.f64 (+.f64 x x)) (-.f64 x (/.f64 -1/2 x))) 2))
(+.f64 (-.f64 (-.f64 (fabs.f64 x) x) (/.f64 1/4 x)) (/.f64 -1/4 x))
(+.f64 (/.f64 (-.f64 (fabs.f64 x) x) 2) (/.f64 (+.f64 (-.f64 (fabs.f64 x) x) (/.f64 -1 x)) 2))
(+.f64 (/.f64 (+.f64 (-.f64 (fabs.f64 x) x) (/.f64 -1 x)) 2) (/.f64 (-.f64 (fabs.f64 x) x) 2))
(+.f64 (/.f64 (+.f64 (/.f64 -1/2 x) (*.f64 (-.f64 x (fabs.f64 x)) -2)) 2) (/.f64 -1/4 x))
(+.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 (+.f64 x x)) (/.f64 -1 x)) x) 2) (/.f64 x -2))
(+.f64 (/.f64 (-.f64 (fabs.f64 (+.f64 x x)) (-.f64 x (/.f64 -1/2 x))) 2) (/.f64 (-.f64 x (/.f64 -1/2 x)) -2))
(+.f64 (+.f64 (/.f64 -1/2 x) (/.f64 (fabs.f64 x) 2)) (-.f64 (/.f64 (fabs.f64 x) 2) x))
(+.f64 (-.f64 (/.f64 (fabs.f64 x) 2) x) (+.f64 (/.f64 -1/2 x) (/.f64 (fabs.f64 x) 2)))
(+.f64 (-.f64 -1 x) (-.f64 1 (-.f64 (/.f64 1/2 x) (fabs.f64 x))))
(+.f64 (-.f64 -1 (-.f64 x (fabs.f64 x))) (-.f64 1 (/.f64 1/2 x)))
(+.f64 (-.f64 1 (/.f64 1/2 x)) (-.f64 -1 (-.f64 x (fabs.f64 x))))
(+.f64 (-.f64 -1 (/.f64 1/2 x)) (-.f64 1 (-.f64 x (fabs.f64 x))))
(+.f64 (-.f64 1 (-.f64 x (fabs.f64 x))) (-.f64 -1 (/.f64 1/2 x)))
(+.f64 (-.f64 -1 (neg.f64 (fabs.f64 x))) (-.f64 1 (-.f64 x (/.f64 -1/2 x))))
(+.f64 (-.f64 -1 (*.f64 -2 (fabs.f64 x))) (-.f64 1 (+.f64 (fabs.f64 x) (-.f64 x (/.f64 -1/2 x)))))
(+.f64 (-.f64 -1 (*.f64 -3 (/.f64 (fabs.f64 x) 2))) (-.f64 1 (+.f64 (-.f64 x (/.f64 -1/2 x)) (/.f64 (fabs.f64 x) 2))))
(+.f64 (-.f64 -1 (-.f64 x (/.f64 -1/2 x))) (-.f64 1 (neg.f64 (fabs.f64 x))))
(+.f64 (-.f64 -1 (-.f64 (/.f64 1/2 x) (fabs.f64 x))) (-.f64 1 x))
(+.f64 (-.f64 -1 (-.f64 (-.f64 (fabs.f64 x) x) (/.f64 -1/2 x))) (-.f64 1 (*.f64 (-.f64 x (fabs.f64 x)) 2)))
(+.f64 (-.f64 -1 (*.f64 (-.f64 x (fabs.f64 x)) 2)) (-.f64 1 (-.f64 (-.f64 (fabs.f64 x) x) (/.f64 -1/2 x))))
(+.f64 (-.f64 -1 (/.f64 1 x)) (-.f64 1 (+.f64 (/.f64 -1/2 x) (-.f64 x (fabs.f64 x)))))
(+.f64 (-.f64 -1 (-.f64 (+.f64 x x) (fabs.f64 x))) (-.f64 1 (+.f64 (/.f64 1/2 x) (neg.f64 x))))
(+.f64 (-.f64 -1 (+.f64 x (-.f64 x (fabs.f64 x)))) (-.f64 1 (+.f64 (/.f64 1/2 x) (neg.f64 x))))
(+.f64 (-.f64 -1 (-.f64 x (fabs.f64 (+.f64 x x)))) (-.f64 1 (+.f64 (fabs.f64 x) (/.f64 1/2 x))))
(+.f64 (-.f64 -1 (+.f64 (fabs.f64 x) (/.f64 1/2 x))) (-.f64 1 (-.f64 x (fabs.f64 (+.f64 x x)))))
(+.f64 (-.f64 -1 (+.f64 (fabs.f64 x) (-.f64 x (/.f64 -1/2 x)))) (-.f64 1 (*.f64 -2 (fabs.f64 x))))
(+.f64 (-.f64 -1 (+.f64 (/.f64 -1/2 x) (-.f64 x (fabs.f64 x)))) (-.f64 1 (/.f64 1 x)))
(+.f64 (-.f64 -1 (+.f64 (-.f64 x (/.f64 -1/2 x)) (/.f64 (fabs.f64 x) 2))) (-.f64 1 (*.f64 -3 (/.f64 (fabs.f64 x) 2))))
(+.f64 (-.f64 -1 (+.f64 (/.f64 1/2 x) (neg.f64 x))) (-.f64 1 (-.f64 (+.f64 x x) (fabs.f64 x))))
(+.f64 (-.f64 -1 (+.f64 (/.f64 1/2 x) (neg.f64 x))) (-.f64 1 (+.f64 x (-.f64 x (fabs.f64 x)))))
(.f64 1/2 (+.f64 (.f64 (-.f64 x (fabs.f64 x)) -2) (/.f64 -1 x)))
(*.f64 1/2 (-.f64 (+.f64 (fabs.f64 (+.f64 x x)) (/.f64 -1 x)) (+.f64 x x)))
(*.f64 (-.f64 (fabs.f64 x) (-.f64 x (/.f64 -1/2 x))) 1)
(*.f64 1 (-.f64 (fabs.f64 x) (-.f64 x (/.f64 -1/2 x))))
(*.f64 -1 (+.f64 x (-.f64 (/.f64 1/2 x) (fabs.f64 x))))
(*.f64 (+.f64 x (-.f64 (/.f64 1/2 x) (fabs.f64 x))) -1)
(*.f64 2 (+.f64 (/.f64 -1/4 x) (/.f64 (-.f64 (fabs.f64 x) x) 2)))
(.f64 2 (.f64 (-.f64 (fabs.f64 x) (-.f64 x (/.f64 -1/2 x))) 1/2))
(.f64 (+.f64 (.f64 (-.f64 x (fabs.f64 x)) -2) (/.f64 -1 x)) 1/2)
(.f64 (.f64 (-.f64 (fabs.f64 x) (-.f64 x (/.f64 -1/2 x))) 4) 1/4)
(.f64 1/4 (.f64 (-.f64 (fabs.f64 x) (-.f64 x (/.f64 -1/2 x))) 4))
(.f64 (.f64 2 (*.f64 (-.f64 (fabs.f64 x) (-.f64 x (/.f64 -1/2 x))) 4)) 1/8)
(/.f64 (-.f64 (fabs.f64 x) (-.f64 x (/.f64 -1/2 x))) 1)
(/.f64 (+.f64 x (-.f64 (/.f64 1/2 x) (fabs.f64 x))) -1)
(/.f64 (+.f64 (*.f64 (-.f64 x (fabs.f64 x)) -2) (/.f64 -1 x)) 2)
(/.f64 (*.f64 (-.f64 (fabs.f64 x) (-.f64 x (/.f64 -1/2 x))) 4) 4)
(/.f64 (*.f64 -2 (-.f64 (fabs.f64 x) (-.f64 x (/.f64 -1/2 x)))) -2)
(/.f64 (.f64 2 (.f64 (-.f64 (fabs.f64 x) (-.f64 x (/.f64 -1/2 x))) 4)) 8)
(/.f64 (.f64 2 (.f64 -2 (-.f64 (fabs.f64 x) (-.f64 x (/.f64 -1/2 x))))) -4)
(/.f64 (-.f64 (+.f64 x x) (+.f64 (fabs.f64 (+.f64 x x)) (/.f64 -1 x))) -2)
(/.f64 (.f64 (.f64 -2 (-.f64 (fabs.f64 x) (-.f64 x (/.f64 -1/2 x)))) 2) -4)
(/.f64 (/.f64 (.f64 2 (.f64 -2 (-.f64 (fabs.f64 x) (-.f64 x (/.f64 -1/2 x))))) -1) 4)
(/.f64 (/.f64 (-.f64 (+.f64 x x) (+.f64 (fabs.f64 (+.f64 x x)) (/.f64 -1 x))) -1) 2)
(/.f64 (/.f64 (.f64 (.f64 -2 (-.f64 (fabs.f64 x) (-.f64 x (/.f64 -1/2 x)))) 2) -1) 4)
(/.f64 (+.f64 (.f64 2 (.f64 (-.f64 (fabs.f64 x) (-.f64 x (/.f64 -1/2 x))) 4)) (.f64 2 (.f64 (-.f64 (fabs.f64 x) (-.f64 x (/.f64 -1/2 x))) 4))) 16)
(pow.f64 (-.f64 (fabs.f64 x) (-.f64 x (/.f64 -1/2 x))) 1)
(neg.f64 (+.f64 x (-.f64 (/.f64 1/2 x) (fabs.f64 x))))

Outputs
(/.f64 -1/2 x)
(-.f64 (fabs.f64 x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 -1/2 x) (fabs.f64 x))
(-.f64 (+.f64 (fabs.f64 x) (.f64 -1 x)) (.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x))
(-.f64 (+.f64 (fabs.f64 x) (.f64 -1 x)) (.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (fabs.f64 x) (*.f64 -1 x))
(+.f64 (fabs.f64 x) (neg.f64 x))
(-.f64 (fabs.f64 x) x)
(-.f64 (+.f64 (fabs.f64 x) (.f64 -1 x)) (.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x))
(-.f64 (+.f64 (fabs.f64 x) (.f64 -1 x)) (.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (fabs.f64 x) (*.f64 -1 x))
(+.f64 (fabs.f64 x) (neg.f64 x))
(-.f64 (fabs.f64 x) x)
(-.f64 (+.f64 (fabs.f64 x) (.f64 -1 x)) (.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x))
(-.f64 (+.f64 (fabs.f64 x) (.f64 -1 x)) (.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x))
(+.f64 (fabs.f64 x) (-.f64 (/.f64 -1/2 x) x))
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x))
(+.f64 (/.f64 1/2 x) (+.f64 (-.f64 (fabs.f64 x) x) (/.f64 -1 x)))
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x))
(+.f64 (-.f64 (fabs.f64 x) (-.f64 x (/.f64 -1/2 x))) 0)
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x))
(+.f64 0 (-.f64 (fabs.f64 x) (-.f64 x (/.f64 -1/2 x))))
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x))
(+.f64 (-.f64 (fabs.f64 x) x) (/.f64 -1/2 x))
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x))
(+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x))
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (-.f64 x (fabs.f64 x)) (+.f64 (/.f64 -1/2 x) (*.f64 (-.f64 x (fabs.f64 x)) -2)))
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x))
(+.f64 (neg.f64 x) (+.f64 (fabs.f64 x) (/.f64 -1/2 x)))
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x))
(+.f64 (+.f64 (fabs.f64 x) (/.f64 -1/2 x)) (neg.f64 x))
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x))
(+.f64 (-.f64 (/.f64 -1/2 x) x) (fabs.f64 x))
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x))
(+.f64 (neg.f64 (fabs.f64 x)) (-.f64 (fabs.f64 (+.f64 x x)) (-.f64 x (/.f64 -1/2 x))))
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x))
(+.f64 (-.f64 (fabs.f64 (+.f64 x x)) (-.f64 x (/.f64 -1/2 x))) (neg.f64 (fabs.f64 x)))
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x))
(+.f64 (+.f64 (/.f64 -1/2 x) (*.f64 (-.f64 x (fabs.f64 x)) -2)) (-.f64 x (fabs.f64 x)))
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x))
(+.f64 (+.f64 (-.f64 (fabs.f64 x) x) (/.f64 -1 x)) (/.f64 1/2 x))
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x))
(+.f64 (/.f64 (fabs.f64 x) 2) (+.f64 (-.f64 (/.f64 -1/2 x) x) (/.f64 (fabs.f64 x) 2)))
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x))
(+.f64 (+.f64 (/.f64 -1/4 x) (/.f64 (-.f64 (fabs.f64 x) x) 2)) (+.f64 (/.f64 -1/4 x) (/.f64 (-.f64 (fabs.f64 x) x) 2)))
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x))
(+.f64 (/.f64 x -2) (/.f64 (-.f64 (+.f64 (fabs.f64 (+.f64 x x)) (/.f64 -1 x)) x) 2))
(+.f64 (/.f64 x -2) (/.f64 (-.f64 (+.f64 (/.f64 -1 x) (fabs.f64 (+.f64 x x))) x) 2))
(+.f64 (/.f64 x -2) (-.f64 (+.f64 (/.f64 -1/2 x) (fabs.f64 x)) (/.f64 x 2)))
(+.f64 (/.f64 x -2) (-.f64 (fabs.f64 x) (+.f64 (/.f64 x 2) (/.f64 1/2 x))))
(+.f64 (*.f64 x -1/2) (-.f64 (fabs.f64 x) (+.f64 (/.f64 x 2) (/.f64 1/2 x))))
(+.f64 (+.f64 (-.f64 (/.f64 -1/2 x) x) (/.f64 (fabs.f64 x) 2)) (/.f64 (fabs.f64 x) 2))
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x))
(+.f64 (/.f64 -1/4 x) (-.f64 (-.f64 (fabs.f64 x) x) (/.f64 1/4 x)))
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x))
(+.f64 (/.f64 -1/4 x) (/.f64 (+.f64 (/.f64 -1/2 x) (*.f64 (-.f64 x (fabs.f64 x)) -2)) 2))
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x))
(+.f64 (-.f64 (fabs.f64 x) (+.f64 (/.f64 1/4 x) (/.f64 x 2))) (/.f64 (-.f64 x (/.f64 -1/2 x)) -2))
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x))
(+.f64 (/.f64 (-.f64 x (/.f64 -1/2 x)) -2) (-.f64 (fabs.f64 x) (+.f64 (/.f64 1/4 x) (/.f64 x 2))))
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x))
(+.f64 (/.f64 (-.f64 x (/.f64 -1/2 x)) -2) (/.f64 (-.f64 (fabs.f64 (+.f64 x x)) (-.f64 x (/.f64 -1/2 x))) 2))
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x))
(+.f64 (-.f64 (-.f64 (fabs.f64 x) x) (/.f64 1/4 x)) (/.f64 -1/4 x))
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x))
(+.f64 (/.f64 (-.f64 (fabs.f64 x) x) 2) (/.f64 (+.f64 (-.f64 (fabs.f64 x) x) (/.f64 -1 x)) 2))
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x))
(+.f64 (/.f64 (+.f64 (-.f64 (fabs.f64 x) x) (/.f64 -1 x)) 2) (/.f64 (-.f64 (fabs.f64 x) x) 2))
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x))
(+.f64 (/.f64 (+.f64 (/.f64 -1/2 x) (*.f64 (-.f64 x (fabs.f64 x)) -2)) 2) (/.f64 -1/4 x))
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x))
(+.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 (+.f64 x x)) (/.f64 -1 x)) x) 2) (/.f64 x -2))
(+.f64 (/.f64 x -2) (/.f64 (-.f64 (+.f64 (/.f64 -1 x) (fabs.f64 (+.f64 x x))) x) 2))
(+.f64 (/.f64 x -2) (-.f64 (+.f64 (/.f64 -1/2 x) (fabs.f64 x)) (/.f64 x 2)))
(+.f64 (/.f64 x -2) (-.f64 (fabs.f64 x) (+.f64 (/.f64 x 2) (/.f64 1/2 x))))
(+.f64 (*.f64 x -1/2) (-.f64 (fabs.f64 x) (+.f64 (/.f64 x 2) (/.f64 1/2 x))))
(+.f64 (/.f64 (-.f64 (fabs.f64 (+.f64 x x)) (-.f64 x (/.f64 -1/2 x))) 2) (/.f64 (-.f64 x (/.f64 -1/2 x)) -2))
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x))
(+.f64 (+.f64 (/.f64 -1/2 x) (/.f64 (fabs.f64 x) 2)) (-.f64 (/.f64 (fabs.f64 x) 2) x))
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x))
(+.f64 (-.f64 (/.f64 (fabs.f64 x) 2) x) (+.f64 (/.f64 -1/2 x) (/.f64 (fabs.f64 x) 2)))
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x))
(+.f64 (-.f64 -1 x) (-.f64 1 (-.f64 (/.f64 1/2 x) (fabs.f64 x))))
(+.f64 (-.f64 -1 x) (-.f64 (fabs.f64 x) (-.f64 (/.f64 1/2 x) 1)))
(+.f64 (-.f64 -1 x) (+.f64 (fabs.f64 x) (-.f64 1 (/.f64 1/2 x))))
(+.f64 (-.f64 -1 (-.f64 x (fabs.f64 x))) (-.f64 1 (/.f64 1/2 x)))
(+.f64 (-.f64 -1 x) (-.f64 (fabs.f64 x) (-.f64 (/.f64 1/2 x) 1)))
(+.f64 (-.f64 -1 x) (+.f64 (fabs.f64 x) (-.f64 1 (/.f64 1/2 x))))
(+.f64 (-.f64 1 (/.f64 1/2 x)) (-.f64 -1 (-.f64 x (fabs.f64 x))))
(+.f64 (-.f64 -1 x) (-.f64 (fabs.f64 x) (-.f64 (/.f64 1/2 x) 1)))
(+.f64 (-.f64 -1 x) (+.f64 (fabs.f64 x) (-.f64 1 (/.f64 1/2 x))))
(+.f64 (-.f64 -1 (/.f64 1/2 x)) (-.f64 1 (-.f64 x (fabs.f64 x))))
(+.f64 (-.f64 -1 (/.f64 1/2 x)) (-.f64 (fabs.f64 x) (-.f64 x 1)))
(+.f64 (-.f64 -1 (/.f64 1/2 x)) (+.f64 (fabs.f64 x) (-.f64 1 x)))
(+.f64 (-.f64 1 (-.f64 x (fabs.f64 x))) (-.f64 -1 (/.f64 1/2 x)))
(+.f64 (-.f64 -1 (/.f64 1/2 x)) (-.f64 (fabs.f64 x) (-.f64 x 1)))
(+.f64 (-.f64 -1 (/.f64 1/2 x)) (+.f64 (fabs.f64 x) (-.f64 1 x)))
(+.f64 (-.f64 -1 (neg.f64 (fabs.f64 x))) (-.f64 1 (-.f64 x (/.f64 -1/2 x))))
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x))
(+.f64 (-.f64 -1 (*.f64 -2 (fabs.f64 x))) (-.f64 1 (+.f64 (fabs.f64 x) (-.f64 x (/.f64 -1/2 x)))))
(+.f64 (-.f64 -1 (*.f64 (fabs.f64 x) -2)) (-.f64 1 (+.f64 (fabs.f64 x) (-.f64 x (/.f64 -1/2 x)))))
(+.f64 (-.f64 (/.f64 -1/2 x) x) (+.f64 (-.f64 -1 (*.f64 (fabs.f64 x) -2)) (-.f64 1 (fabs.f64 x))))
(+.f64 (-.f64 -1 (*.f64 -3 (/.f64 (fabs.f64 x) 2))) (-.f64 1 (+.f64 (-.f64 x (/.f64 -1/2 x)) (/.f64 (fabs.f64 x) 2))))
(+.f64 (-.f64 -1 (*.f64 (fabs.f64 x) -3/2)) (-.f64 1 (+.f64 (-.f64 x (/.f64 -1/2 x)) (/.f64 (fabs.f64 x) 2))))
(+.f64 (-.f64 (/.f64 -1/2 x) x) (+.f64 (-.f64 1 (/.f64 (fabs.f64 x) 2)) (-.f64 -1 (*.f64 (fabs.f64 x) -3/2))))
(+.f64 (-.f64 -1 (-.f64 x (/.f64 -1/2 x))) (-.f64 1 (neg.f64 (fabs.f64 x))))
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x))
(+.f64 (-.f64 -1 (-.f64 (/.f64 1/2 x) (fabs.f64 x))) (-.f64 1 x))
(+.f64 (-.f64 -1 (/.f64 1/2 x)) (-.f64 (fabs.f64 x) (-.f64 x 1)))
(+.f64 (-.f64 -1 (/.f64 1/2 x)) (+.f64 (fabs.f64 x) (-.f64 1 x)))
(+.f64 (-.f64 -1 (-.f64 (-.f64 (fabs.f64 x) x) (/.f64 -1/2 x))) (-.f64 1 (*.f64 (-.f64 x (fabs.f64 x)) 2)))
(+.f64 (-.f64 -1 (-.f64 (fabs.f64 x) (+.f64 (/.f64 -1/2 x) x))) (-.f64 1 (*.f64 (-.f64 x (fabs.f64 x)) 2)))
(+.f64 (-.f64 x (-.f64 (+.f64 (fabs.f64 x) (/.f64 1/2 x)) -1)) (-.f64 1 (*.f64 (-.f64 x (fabs.f64 x)) 2)))
(+.f64 (-.f64 (-.f64 (+.f64 x -1) (fabs.f64 x)) (/.f64 1/2 x)) (-.f64 1 (*.f64 (-.f64 x (fabs.f64 x)) 2)))
(+.f64 (-.f64 -1 (*.f64 (-.f64 x (fabs.f64 x)) 2)) (-.f64 1 (-.f64 (-.f64 (fabs.f64 x) x) (/.f64 -1/2 x))))
(+.f64 (-.f64 -1 (*.f64 (-.f64 x (fabs.f64 x)) 2)) (-.f64 1 (-.f64 (fabs.f64 x) (+.f64 (/.f64 -1/2 x) x))))
(+.f64 (-.f64 -1 (*.f64 (-.f64 x (fabs.f64 x)) 2)) (-.f64 x (-.f64 (+.f64 (fabs.f64 x) (/.f64 1/2 x)) 1)))
(+.f64 (-.f64 -1 (*.f64 (-.f64 x (fabs.f64 x)) 2)) (+.f64 (-.f64 x (+.f64 (fabs.f64 x) -1)) (/.f64 -1/2 x)))
(+.f64 (-.f64 -1 (/.f64 1 x)) (-.f64 1 (+.f64 (/.f64 -1/2 x) (-.f64 x (fabs.f64 x)))))
(+.f64 (/.f64 1/2 x) (+.f64 (+.f64 (fabs.f64 x) (-.f64 1 x)) (-.f64 -1 (/.f64 1 x))))
(+.f64 (-.f64 -1 (-.f64 (+.f64 x x) (fabs.f64 x))) (-.f64 1 (+.f64 (/.f64 1/2 x) (neg.f64 x))))
(+.f64 (-.f64 (fabs.f64 x) (-.f64 (+.f64 x x) -1)) (-.f64 1 (+.f64 (/.f64 1/2 x) (neg.f64 x))))
(+.f64 (+.f64 (fabs.f64 x) (-.f64 -1 (+.f64 x x))) (-.f64 1 (+.f64 (/.f64 1/2 x) (neg.f64 x))))
(+.f64 (-.f64 -1 (+.f64 x x)) (+.f64 (fabs.f64 x) (+.f64 (/.f64 -1/2 x) (+.f64 x 1))))
(+.f64 (-.f64 -1 (+.f64 x (-.f64 x (fabs.f64 x)))) (-.f64 1 (+.f64 (/.f64 1/2 x) (neg.f64 x))))
(+.f64 (-.f64 1 (+.f64 (/.f64 1/2 x) (neg.f64 x))) (-.f64 -1 (+.f64 x (-.f64 x (fabs.f64 x)))))
(+.f64 x (+.f64 (-.f64 (fabs.f64 x) x) (+.f64 (-.f64 -1 x) (-.f64 1 (/.f64 1/2 x)))))
(+.f64 (/.f64 -1/2 x) (+.f64 (+.f64 x 1) (-.f64 (fabs.f64 x) (+.f64 (+.f64 x 1) x))))
(+.f64 (-.f64 -1 (-.f64 x (fabs.f64 (+.f64 x x)))) (-.f64 1 (+.f64 (fabs.f64 x) (/.f64 1/2 x))))
(+.f64 (+.f64 (fabs.f64 (+.f64 x x)) (-.f64 -1 x)) (-.f64 1 (+.f64 (fabs.f64 x) (/.f64 1/2 x))))
(+.f64 (-.f64 1 (fabs.f64 x)) (+.f64 (/.f64 -1/2 x) (+.f64 (fabs.f64 (+.f64 x x)) (-.f64 -1 x))))
(+.f64 (/.f64 -1/2 x) (+.f64 (+.f64 (fabs.f64 (+.f64 x x)) (-.f64 -1 x)) (-.f64 1 (fabs.f64 x))))
(+.f64 (-.f64 -1 (+.f64 (fabs.f64 x) (/.f64 1/2 x))) (-.f64 1 (-.f64 x (fabs.f64 (+.f64 x x)))))
(+.f64 (-.f64 -1 (+.f64 (fabs.f64 x) (/.f64 1/2 x))) (-.f64 (fabs.f64 (+.f64 x x)) (-.f64 x 1)))
(+.f64 (-.f64 -1 (+.f64 (fabs.f64 x) (/.f64 1/2 x))) (+.f64 (fabs.f64 (+.f64 x x)) (-.f64 1 x)))
(+.f64 (/.f64 -1/2 x) (+.f64 (-.f64 1 x) (+.f64 (fabs.f64 (+.f64 x x)) (-.f64 -1 (fabs.f64 x)))))
(+.f64 (/.f64 -1/2 x) (+.f64 (+.f64 (fabs.f64 (+.f64 x x)) (-.f64 1 x)) (-.f64 -1 (fabs.f64 x))))
(+.f64 (-.f64 -1 (+.f64 (fabs.f64 x) (-.f64 x (/.f64 -1/2 x)))) (-.f64 1 (*.f64 -2 (fabs.f64 x))))
(+.f64 (-.f64 -1 (+.f64 (fabs.f64 x) (-.f64 x (/.f64 -1/2 x)))) (-.f64 1 (*.f64 (fabs.f64 x) -2)))
(+.f64 (-.f64 (/.f64 -1/2 x) x) (+.f64 (-.f64 1 (*.f64 (fabs.f64 x) -2)) (-.f64 -1 (fabs.f64 x))))
(+.f64 (-.f64 -1 (+.f64 (/.f64 -1/2 x) (-.f64 x (fabs.f64 x)))) (-.f64 1 (/.f64 1 x)))
(+.f64 (-.f64 -1 (/.f64 -1/2 x)) (+.f64 (-.f64 (fabs.f64 x) x) (-.f64 1 (/.f64 1 x))))
(+.f64 (-.f64 (fabs.f64 x) x) (+.f64 (/.f64 (+.f64 x -1) x) (-.f64 -1 (/.f64 -1/2 x))))
(+.f64 (-.f64 -1 (+.f64 (-.f64 x (/.f64 -1/2 x)) (/.f64 (fabs.f64 x) 2))) (-.f64 1 (*.f64 -3 (/.f64 (fabs.f64 x) 2))))
(+.f64 (-.f64 -1 (+.f64 (-.f64 x (/.f64 -1/2 x)) (/.f64 (fabs.f64 x) 2))) (-.f64 1 (*.f64 (fabs.f64 x) -3/2)))
(+.f64 (+.f64 (-.f64 (/.f64 -1/2 x) (+.f64 x 1)) (/.f64 (fabs.f64 x) -2)) (-.f64 1 (*.f64 (fabs.f64 x) -3/2)))
(+.f64 (+.f64 (-.f64 (/.f64 -1/2 x) (+.f64 x 1)) (.f64 (fabs.f64 x) -1/2)) (-.f64 1 (.f64 (fabs.f64 x) -3/2)))
(+.f64 (-.f64 -1 (+.f64 (/.f64 1/2 x) (neg.f64 x))) (-.f64 1 (-.f64 (+.f64 x x) (fabs.f64 x))))
(+.f64 (-.f64 -1 (+.f64 (/.f64 1/2 x) (neg.f64 x))) (-.f64 (fabs.f64 x) (-.f64 (+.f64 x x) 1)))
(+.f64 (-.f64 -1 (+.f64 (/.f64 1/2 x) (neg.f64 x))) (+.f64 (fabs.f64 x) (-.f64 1 (+.f64 x x))))
(+.f64 x (+.f64 (-.f64 -1 (/.f64 1/2 x)) (+.f64 (fabs.f64 x) (-.f64 1 (+.f64 x x)))))
(+.f64 (-.f64 -1 (+.f64 (/.f64 1/2 x) (neg.f64 x))) (-.f64 1 (+.f64 x (-.f64 x (fabs.f64 x)))))
(+.f64 (/.f64 -1/2 x) (+.f64 (+.f64 x -1) (+.f64 (-.f64 (fabs.f64 x) x) (-.f64 1 x))))
(.f64 1/2 (+.f64 (.f64 (-.f64 x (fabs.f64 x)) -2) (/.f64 -1 x)))
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x))
(*.f64 1/2 (-.f64 (+.f64 (fabs.f64 (+.f64 x x)) (/.f64 -1 x)) (+.f64 x x)))
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x))
(*.f64 (-.f64 (fabs.f64 x) (-.f64 x (/.f64 -1/2 x))) 1)
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x))
(*.f64 1 (-.f64 (fabs.f64 x) (-.f64 x (/.f64 -1/2 x))))
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x))
(*.f64 -1 (+.f64 x (-.f64 (/.f64 1/2 x) (fabs.f64 x))))
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x))
(*.f64 (+.f64 x (-.f64 (/.f64 1/2 x) (fabs.f64 x))) -1)
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x))
(*.f64 2 (+.f64 (/.f64 -1/4 x) (/.f64 (-.f64 (fabs.f64 x) x) 2)))
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x))
(.f64 2 (.f64 (-.f64 (fabs.f64 x) (-.f64 x (/.f64 -1/2 x))) 1/2))
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x))
(.f64 (+.f64 (.f64 (-.f64 x (fabs.f64 x)) -2) (/.f64 -1 x)) 1/2)
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x))
(.f64 (.f64 (-.f64 (fabs.f64 x) (-.f64 x (/.f64 -1/2 x))) 4) 1/4)
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x))
(.f64 1/4 (.f64 (-.f64 (fabs.f64 x) (-.f64 x (/.f64 -1/2 x))) 4))
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x))
(.f64 (.f64 2 (*.f64 (-.f64 (fabs.f64 x) (-.f64 x (/.f64 -1/2 x))) 4)) 1/8)
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x))
(/.f64 (-.f64 (fabs.f64 x) (-.f64 x (/.f64 -1/2 x))) 1)
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x))
(/.f64 (+.f64 x (-.f64 (/.f64 1/2 x) (fabs.f64 x))) -1)
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x))
(/.f64 (+.f64 (*.f64 (-.f64 x (fabs.f64 x)) -2) (/.f64 -1 x)) 2)
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x))
(/.f64 (*.f64 (-.f64 (fabs.f64 x) (-.f64 x (/.f64 -1/2 x))) 4) 4)
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x))
(/.f64 (*.f64 -2 (-.f64 (fabs.f64 x) (-.f64 x (/.f64 -1/2 x)))) -2)
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x))
(/.f64 (.f64 2 (.f64 (-.f64 (fabs.f64 x) (-.f64 x (/.f64 -1/2 x))) 4)) 8)
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x))
(/.f64 (.f64 2 (.f64 -2 (-.f64 (fabs.f64 x) (-.f64 x (/.f64 -1/2 x))))) -4)
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x))
(/.f64 (-.f64 (+.f64 x x) (+.f64 (fabs.f64 (+.f64 x x)) (/.f64 -1 x))) -2)
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x))
(/.f64 (.f64 (.f64 -2 (-.f64 (fabs.f64 x) (-.f64 x (/.f64 -1/2 x)))) 2) -4)
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x))
(/.f64 (/.f64 (.f64 2 (.f64 -2 (-.f64 (fabs.f64 x) (-.f64 x (/.f64 -1/2 x))))) -1) 4)
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x))
(/.f64 (/.f64 (-.f64 (+.f64 x x) (+.f64 (fabs.f64 (+.f64 x x)) (/.f64 -1 x))) -1) 2)
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x))
(/.f64 (/.f64 (.f64 (.f64 -2 (-.f64 (fabs.f64 x) (-.f64 x (/.f64 -1/2 x)))) 2) -1) 4)
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x))
(/.f64 (+.f64 (.f64 2 (.f64 (-.f64 (fabs.f64 x) (-.f64 x (/.f64 -1/2 x))) 4)) (.f64 2 (.f64 (-.f64 (fabs.f64 x) (-.f64 x (/.f64 -1/2 x))) 4))) 16)
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x))
(pow.f64 (-.f64 (fabs.f64 x) (-.f64 x (/.f64 -1/2 x))) 1)
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x))
(neg.f64 (+.f64 x (-.f64 (/.f64 1/2 x) (fabs.f64 x))))
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 -1/2 x) (-.f64 (fabs.f64 x) x))

localize108.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 71 to 34 computations (52.1% saved)

series14.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
12.0ms	x	@	inf	(-.f64 (/.f64 1 x) (+.f64 (/.f64 1/2 x) (-.f64 (neg.f64 x) (fabs.f64 x))))
0.0ms	x	@	-inf	(log.f64 (-.f64 (/.f64 1 x) (+.f64 (/.f64 1/2 x) (-.f64 (neg.f64 x) (fabs.f64 x)))))
0.0ms	x	@	-inf	(-.f64 (/.f64 1 x) (+.f64 (/.f64 1/2 x) (-.f64 (neg.f64 x) (fabs.f64 x))))
0.0ms	x	@	0	(log.f64 (-.f64 (/.f64 1 x) (+.f64 (/.f64 1/2 x) (-.f64 (neg.f64 x) (fabs.f64 x)))))
0.0ms	x	@	inf	(log.f64 (-.f64 (/.f64 1 x) (+.f64 (/.f64 1/2 x) (-.f64 (neg.f64 x) (fabs.f64 x)))))

rewrite370.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1074×	`rational_best-simplify-62`
710×	`rational_best-simplify-55`
654×	`rational_best-simplify-47`
600×	`rational_best-simplify-57`
552×	`rational_best-simplify-51`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	82
1	100	66
2	235	50
3	866	50
4	5934	50

Stop Event

1×	node limit

Counts

2 → 124

Calls

Call 1

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

Outputs

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simplify481.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1232×	`rational_best-simplify-3`
940×	`rational_best-simplify-63`
790×	`rational_best-simplify-1`
634×	`rational_best-simplify-62`
556×	`rational_best-simplify-65`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	354	5000
1	892	4932
2	2188	4348
3	6130	4348

Stop Event

1×	node limit

Counts

148 → 204

Calls

Call 1

Inputs
(/.f64 1/2 x)
(+.f64 (fabs.f64 x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (fabs.f64 x) (+.f64 (*.f64 1/2 (/.f64 1 x)) x))
(+.f64 (fabs.f64 x) (+.f64 (*.f64 1/2 (/.f64 1 x)) x))
x
(+.f64 (fabs.f64 x) x)
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (fabs.f64 x) x))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (fabs.f64 x) x))
x
(+.f64 (fabs.f64 x) x)
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (fabs.f64 x) x))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (fabs.f64 x) x))
(+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 1/2) (+.f64 (.f64 2 (.f64 (fabs.f64 x) x)) (*.f64 -1 (log.f64 x))))
(+.f64 (.f64 1/2 (.f64 (+.f64 4 (.f64 -4 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2))) (+.f64 (log.f64 1/2) (+.f64 (.f64 2 (.f64 (fabs.f64 x) x)) (.f64 -1 (log.f64 x)))))
(+.f64 (.f64 1/2 (.f64 (+.f64 4 (.f64 -4 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2))) (+.f64 (.f64 1/6 (.f64 (+.f64 (.f64 16 (pow.f64 (fabs.f64 x) 3)) (.f64 -24 (fabs.f64 x))) (pow.f64 x 3))) (+.f64 (log.f64 1/2) (+.f64 (.f64 2 (.f64 (fabs.f64 x) x)) (.f64 -1 (log.f64 x))))))
(*.f64 -1 (log.f64 (/.f64 1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 (fabs.f64 x) x))
(+.f64 (.f64 1/2 (/.f64 (+.f64 1 (.f64 -1 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 (fabs.f64 x) x)))
(+.f64 (.f64 1/6 (/.f64 (+.f64 (.f64 -3 (fabs.f64 x)) (.f64 2 (pow.f64 (fabs.f64 x) 3))) (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 (+.f64 1 (.f64 -1 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 (fabs.f64 x) x))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (/.f64 (fabs.f64 x) x)))
(+.f64 (.f64 1/2 (/.f64 (+.f64 1 (.f64 -1 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (/.f64 (fabs.f64 x) x))))
(+.f64 (.f64 -1/6 (/.f64 (+.f64 (.f64 -2 (pow.f64 (fabs.f64 x) 3)) (.f64 3 (fabs.f64 x))) (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 (+.f64 1 (.f64 -1 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (/.f64 (fabs.f64 x) x)))))
(+.f64 1 (+.f64 (-.f64 -1 (/.f64 -1/2 x)) (+.f64 x (fabs.f64 x))))
(+.f64 1 (+.f64 (+.f64 -1 (/.f64 -1/2 x)) (+.f64 x (+.f64 (fabs.f64 x) (/.f64 1 x)))))
(+.f64 x (+.f64 (fabs.f64 x) (/.f64 1/2 x)))
(+.f64 (/.f64 1 x) (+.f64 (fabs.f64 x) (+.f64 x (/.f64 -1/2 x))))
(+.f64 (/.f64 1/2 x) (+.f64 x (fabs.f64 x)))
(+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/2 x) (+.f64 (fabs.f64 x) (+.f64 x (/.f64 -1/2 x)))))
(+.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) (-.f64 (-.f64 (/.f64 1/2 x) x) (fabs.f64 x))))
(+.f64 (/.f64 1/2 x) (+.f64 (/.f64 -1 x) (+.f64 x (+.f64 (fabs.f64 x) (/.f64 1 x)))))
(+.f64 (fabs.f64 x) (+.f64 x (/.f64 1/2 x)))
(+.f64 (fabs.f64 x) (+.f64 (+.f64 (/.f64 1 x) x) (/.f64 -1/2 x)))
(+.f64 (+.f64 x (+.f64 (fabs.f64 x) (/.f64 1/2 x))) 0)
(+.f64 0 (+.f64 x (+.f64 (fabs.f64 x) (/.f64 1/2 x))))
(+.f64 (+.f64 x (fabs.f64 x)) (/.f64 1/2 x))
(+.f64 (+.f64 x (fabs.f64 x)) (-.f64 (+.f64 x (fabs.f64 x)) (+.f64 (fabs.f64 x) (+.f64 x (/.f64 -1/2 x)))))
(+.f64 (/.f64 -1/2 x) (+.f64 x (+.f64 (fabs.f64 x) (/.f64 1 x))))
(+.f64 (+.f64 x (+.f64 (fabs.f64 x) (/.f64 1 x))) (/.f64 -1/2 x))
(+.f64 (+.f64 (fabs.f64 x) (+.f64 x (/.f64 -1/2 x))) (/.f64 1 x))
(+.f64 (/.f64 -1 x) (+.f64 (+.f64 x (fabs.f64 x)) (/.f64 3/2 x)))
(+.f64 (+.f64 (+.f64 x (fabs.f64 x)) (/.f64 3/2 x)) (/.f64 -1 x))
(+.f64 (/.f64 3/2 x) (+.f64 (/.f64 -1/2 x) (+.f64 (fabs.f64 x) (+.f64 x (/.f64 -1/2 x)))))
(+.f64 (/.f64 3/2 x) (neg.f64 (-.f64 (/.f64 1 x) (+.f64 x (fabs.f64 x)))))
(+.f64 (+.f64 -1 (fabs.f64 x)) (+.f64 (+.f64 1 x) (/.f64 1/2 x)))
(+.f64 (+.f64 -1 (fabs.f64 x)) (+.f64 (+.f64 (/.f64 1 x) (+.f64 1 x)) (/.f64 -1/2 x)))
(+.f64 (+.f64 -1 x) (+.f64 (+.f64 1 (fabs.f64 x)) (/.f64 1/2 x)))
(+.f64 (+.f64 -1 x) (+.f64 (+.f64 (/.f64 1 x) (+.f64 1 (fabs.f64 x))) (/.f64 -1/2 x)))
(+.f64 (+.f64 (/.f64 1/4 x) (/.f64 (+.f64 x (fabs.f64 x)) 2)) (+.f64 (/.f64 1/4 x) (/.f64 (+.f64 x (fabs.f64 x)) 2)))
(+.f64 (/.f64 1/4 x) (+.f64 (/.f64 1/4 x) (+.f64 x (fabs.f64 x))))
(+.f64 (/.f64 1/4 x) (/.f64 (+.f64 (/.f64 1/2 x) (*.f64 (+.f64 x (fabs.f64 x)) 2)) 2))
(+.f64 (/.f64 1/4 x) (-.f64 (/.f64 1/4 x) (-.f64 (neg.f64 x) (fabs.f64 x))))
(+.f64 (*.f64 (+.f64 x (fabs.f64 x)) 2) (-.f64 (-.f64 (/.f64 1/2 x) x) (fabs.f64 x)))
(+.f64 (-.f64 -1 (/.f64 -1/2 x)) (-.f64 1 (-.f64 (neg.f64 x) (fabs.f64 x))))
(+.f64 (+.f64 1 (/.f64 -1 x)) (+.f64 (-.f64 -1 (/.f64 -1/2 x)) (+.f64 x (+.f64 (fabs.f64 x) (/.f64 1 x)))))
(+.f64 (-.f64 1 (/.f64 -1/2 x)) (+.f64 -1 (+.f64 x (fabs.f64 x))))
(+.f64 (-.f64 1 (/.f64 -1/2 x)) (+.f64 (-.f64 -1 (/.f64 1 x)) (+.f64 x (+.f64 (fabs.f64 x) (/.f64 1 x)))))
(+.f64 (-.f64 1 (/.f64 -1/2 x)) (neg.f64 (-.f64 1 (+.f64 x (fabs.f64 x)))))
(+.f64 (+.f64 1 (/.f64 -1/2 x)) (+.f64 -1 (+.f64 x (+.f64 (fabs.f64 x) (/.f64 1 x)))))
(+.f64 (-.f64 (/.f64 1/2 x) (-.f64 -1 x)) (+.f64 -1 (fabs.f64 x)))
(+.f64 (-.f64 (/.f64 1/2 x) (neg.f64 x)) (fabs.f64 x))
(+.f64 (-.f64 (/.f64 1/2 x) (-.f64 -1 (fabs.f64 x))) (+.f64 -1 x))
(+.f64 (-.f64 (/.f64 1/2 x) (-.f64 (-.f64 (/.f64 1/2 x) x) (fabs.f64 x))) (/.f64 1/2 x))
(+.f64 (+.f64 (+.f64 x (fabs.f64 x)) 1) (-.f64 -1 (/.f64 -1/2 x)))
(+.f64 (-.f64 (/.f64 1 x) (neg.f64 (fabs.f64 x))) (neg.f64 (-.f64 (/.f64 1/2 x) x)))
(+.f64 (-.f64 (/.f64 1/2 x) (neg.f64 (fabs.f64 x))) x)
(+.f64 (-.f64 (/.f64 1/2 x) (neg.f64 (fabs.f64 x))) (-.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) x)))
(+.f64 (-.f64 (/.f64 1 x) (-.f64 1 (fabs.f64 x))) (neg.f64 (-.f64 (-.f64 -1 x) (/.f64 -1/2 x))))
(+.f64 (-.f64 (/.f64 1 x) (-.f64 1 x)) (neg.f64 (+.f64 (/.f64 1/2 x) (-.f64 -1 (fabs.f64 x)))))
(+.f64 (-.f64 (/.f64 1/2 x) (-.f64 -1 (/.f64 -1/2 x))) (-.f64 (/.f64 1/2 x) (-.f64 1 (+.f64 x (fabs.f64 x)))))
(+.f64 (-.f64 (+.f64 x (fabs.f64 x)) (-.f64 -1 (/.f64 -1/2 x))) (neg.f64 (+.f64 1 (/.f64 -1 x))))
(+.f64 (-.f64 -1 (/.f64 -1 x)) (-.f64 1 (-.f64 (-.f64 (/.f64 1/2 x) x) (fabs.f64 x))))
(+.f64 (-.f64 (/.f64 1 x) (-.f64 (/.f64 1/4 x) (/.f64 (+.f64 x (fabs.f64 x)) 2))) (neg.f64 (-.f64 (/.f64 1/4 x) (/.f64 (+.f64 x (fabs.f64 x)) 2))))
(+.f64 (-.f64 (/.f64 1 x) (-.f64 -1 (+.f64 x (fabs.f64 x)))) (+.f64 -1 (/.f64 -1/2 x)))
(+.f64 (-.f64 (/.f64 1/2 x) (-.f64 1 (fabs.f64 x))) (+.f64 1 x))
(+.f64 (-.f64 (/.f64 1/2 x) (-.f64 1 (fabs.f64 x))) (-.f64 (/.f64 1/2 x) (-.f64 (-.f64 -1 x) (/.f64 -1/2 x))))
(+.f64 (-.f64 (/.f64 1/2 x) (-.f64 1 x)) (+.f64 1 (fabs.f64 x)))
(+.f64 (-.f64 (/.f64 1/2 x) (-.f64 1 x)) (-.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/2 x) (-.f64 -1 (fabs.f64 x)))))
(+.f64 (-.f64 (/.f64 1/2 x) (/.f64 (-.f64 (neg.f64 x) (fabs.f64 x)) 2)) (neg.f64 (/.f64 (-.f64 (neg.f64 x) (fabs.f64 x)) 2)))
(+.f64 (-.f64 (+.f64 x (fabs.f64 x)) (+.f64 -1 (/.f64 -1/2 x))) -1)
(+.f64 (-.f64 (+.f64 x (fabs.f64 x)) (-.f64 -1 (/.f64 1 x))) (+.f64 -1 (/.f64 -1/2 x)))
(+.f64 (-.f64 (*.f64 (+.f64 x (fabs.f64 x)) 2) (/.f64 -1/2 x)) (-.f64 (neg.f64 x) (fabs.f64 x)))
(+.f64 (/.f64 -1/4 x) (/.f64 (+.f64 (+.f64 x (fabs.f64 x)) (+.f64 (+.f64 x (fabs.f64 x)) (/.f64 3/2 x))) 2))
(+.f64 (/.f64 (+.f64 x (fabs.f64 x)) 2) (/.f64 (+.f64 x (+.f64 (fabs.f64 x) (/.f64 1 x))) 2))
(+.f64 (/.f64 (+.f64 (fabs.f64 x) (+.f64 x (/.f64 -1/2 x))) 2) (/.f64 (+.f64 (+.f64 x (fabs.f64 x)) (/.f64 3/2 x)) 2))
(+.f64 (-.f64 (/.f64 1/4 x) (neg.f64 (fabs.f64 x))) (-.f64 (/.f64 1/4 x) (neg.f64 x)))
(+.f64 (-.f64 (/.f64 1/4 x) (-.f64 (neg.f64 x) (fabs.f64 x))) (/.f64 1/4 x))
(+.f64 (-.f64 (/.f64 1/4 x) (neg.f64 x)) (-.f64 (/.f64 1/4 x) (neg.f64 (fabs.f64 x))))
(+.f64 (-.f64 (/.f64 1/4 x) (-.f64 1 (fabs.f64 x))) (-.f64 (/.f64 1/4 x) (-.f64 -1 x)))
(+.f64 (-.f64 (/.f64 1/4 x) (-.f64 -1 x)) (-.f64 (/.f64 1/4 x) (-.f64 1 (fabs.f64 x))))
(+.f64 (-.f64 (/.f64 1/4 x) (-.f64 1 x)) (-.f64 (/.f64 1/4 x) (-.f64 -1 (fabs.f64 x))))
(+.f64 (-.f64 (/.f64 1/4 x) (-.f64 -1 (fabs.f64 x))) (-.f64 (/.f64 1/4 x) (-.f64 1 x)))
(+.f64 (-.f64 (+.f64 x (fabs.f64 x)) (+.f64 (fabs.f64 x) (+.f64 x (/.f64 -1/2 x)))) (+.f64 x (fabs.f64 x)))
(+.f64 (-.f64 (/.f64 1/2 x) (-.f64 -1 (+.f64 x (fabs.f64 x)))) (-.f64 (/.f64 1/2 x) (-.f64 1 (/.f64 -1/2 x))))
(+.f64 (-.f64 -1 (-.f64 (neg.f64 x) (fabs.f64 x))) (-.f64 1 (/.f64 -1/2 x)))
(+.f64 (-.f64 -1 (-.f64 (-.f64 (/.f64 1/2 x) x) (fabs.f64 x))) (-.f64 1 (/.f64 -1 x)))
(*.f64 1 (+.f64 x (+.f64 (fabs.f64 x) (/.f64 1/2 x))))
(.f64 1/2 (-.f64 (/.f64 1 x) (.f64 (+.f64 x (fabs.f64 x)) -2)))
(.f64 1/2 (-.f64 (+.f64 (/.f64 1 x) (.f64 (+.f64 x (fabs.f64 x)) -2)) (*.f64 (+.f64 x (fabs.f64 x)) -4)))
(.f64 1/2 (-.f64 (+.f64 (/.f64 2 x) (.f64 (+.f64 x (fabs.f64 x)) 2)) (/.f64 1 x)))
(.f64 1/2 (-.f64 (/.f64 4 x) (+.f64 (/.f64 2 x) (+.f64 (/.f64 1 x) (.f64 (+.f64 x (fabs.f64 x)) -2)))))
(.f64 1/2 (-.f64 (/.f64 4 x) (+.f64 (+.f64 (/.f64 1 x) (.f64 (+.f64 x (fabs.f64 x)) -2)) (/.f64 2 x))))
(*.f64 (+.f64 x (+.f64 (fabs.f64 x) (/.f64 1/2 x))) 1)
(*.f64 -1 (-.f64 (/.f64 -1/2 x) (+.f64 x (fabs.f64 x))))
(.f64 2 (.f64 (+.f64 x (+.f64 (fabs.f64 x) (/.f64 1/2 x))) 1/2))
(*.f64 (-.f64 (/.f64 -1/2 x) (+.f64 x (fabs.f64 x))) -1)
(.f64 (-.f64 (/.f64 1 x) (.f64 (+.f64 x (fabs.f64 x)) -2)) 1/2)
(.f64 -1/2 (-.f64 (.f64 (+.f64 x (fabs.f64 x)) -2) (/.f64 1 x)))
(.f64 (.f64 (+.f64 x (+.f64 (fabs.f64 x) (/.f64 1/2 x))) 4) 1/4)
(.f64 1/4 (.f64 (+.f64 x (+.f64 (fabs.f64 x) (/.f64 1/2 x))) 4))
(.f64 (+.f64 (.f64 (+.f64 x (+.f64 (fabs.f64 x) (/.f64 1/2 x))) 4) (*.f64 (+.f64 x (+.f64 (fabs.f64 x) (/.f64 1/2 x))) 4)) 1/8)
(.f64 (+.f64 (/.f64 1 x) (.f64 (+.f64 x (fabs.f64 x)) 2)) 1/2)
(.f64 (+.f64 (.f64 (+.f64 x (fabs.f64 x)) 2) (/.f64 1 x)) 1/2)
(.f64 (+.f64 (/.f64 -1 x) (+.f64 (/.f64 2 x) (.f64 (+.f64 x (fabs.f64 x)) 2))) 1/2)
(.f64 (+.f64 (+.f64 (/.f64 2 x) (.f64 (+.f64 x (fabs.f64 x)) 2)) (/.f64 -1 x)) 1/2)
(.f64 (-.f64 (.f64 (+.f64 x (fabs.f64 x)) 2) (/.f64 -1 x)) 1/2)
(/.f64 (+.f64 x (+.f64 (fabs.f64 x) (/.f64 1/2 x))) 1)
(/.f64 (-.f64 (/.f64 -1/2 x) (+.f64 x (fabs.f64 x))) -1)
(/.f64 (-.f64 (/.f64 1 x) (*.f64 (+.f64 x (fabs.f64 x)) -2)) 2)
(/.f64 (*.f64 (+.f64 x (+.f64 (fabs.f64 x) (/.f64 1/2 x))) 4) 4)
(/.f64 (+.f64 (.f64 (+.f64 x (+.f64 (fabs.f64 x) (/.f64 1/2 x))) 4) (.f64 (+.f64 x (+.f64 (fabs.f64 x) (/.f64 1/2 x))) 4)) 8)
(/.f64 (+.f64 (/.f64 1 x) (*.f64 (+.f64 x (fabs.f64 x)) 2)) 2)
(/.f64 (+.f64 (*.f64 (+.f64 x (fabs.f64 x)) 2) (/.f64 1 x)) 2)
(/.f64 (+.f64 (/.f64 -1 x) (+.f64 (/.f64 2 x) (*.f64 (+.f64 x (fabs.f64 x)) 2))) 2)
(/.f64 (+.f64 (+.f64 (/.f64 2 x) (*.f64 (+.f64 x (fabs.f64 x)) 2)) (/.f64 -1 x)) 2)
(/.f64 (-.f64 (*.f64 (+.f64 x (fabs.f64 x)) 2) (/.f64 -1 x)) 2)
(pow.f64 (+.f64 x (+.f64 (fabs.f64 x) (/.f64 1/2 x))) 1)
(neg.f64 (-.f64 (/.f64 -1/2 x) (+.f64 x (fabs.f64 x))))
(+.f64 (log.f64 (+.f64 x (+.f64 (fabs.f64 x) (/.f64 1/2 x)))) 0)
(+.f64 0 (log.f64 (+.f64 x (+.f64 (fabs.f64 x) (/.f64 1/2 x)))))
(+.f64 (/.f64 (log.f64 (+.f64 x (+.f64 (fabs.f64 x) (/.f64 1/2 x)))) 2) (/.f64 (log.f64 (+.f64 x (+.f64 (fabs.f64 x) (/.f64 1/2 x)))) 2))
(-.f64 (log.f64 (+.f64 x (+.f64 (fabs.f64 x) (/.f64 1/2 x)))) 0)
(-.f64 (*.f64 (log.f64 (+.f64 x (+.f64 (fabs.f64 x) (/.f64 1/2 x)))) 2) (log.f64 (+.f64 x (+.f64 (fabs.f64 x) (/.f64 1/2 x)))))
(-.f64 (/.f64 (log.f64 (+.f64 x (+.f64 (fabs.f64 x) (/.f64 1/2 x)))) 2) (/.f64 (neg.f64 (log.f64 (+.f64 x (+.f64 (fabs.f64 x) (/.f64 1/2 x))))) 2))
(*.f64 1 (log.f64 (+.f64 x (+.f64 (fabs.f64 x) (/.f64 1/2 x)))))
(.f64 1/2 (.f64 (log.f64 (+.f64 x (+.f64 (fabs.f64 x) (/.f64 1/2 x)))) 2))
(*.f64 (log.f64 (+.f64 x (+.f64 (fabs.f64 x) (/.f64 1/2 x)))) 1)
(.f64 2 (.f64 (log.f64 (+.f64 x (+.f64 (fabs.f64 x) (/.f64 1/2 x)))) 1/2))
(.f64 (.f64 (log.f64 (+.f64 x (+.f64 (fabs.f64 x) (/.f64 1/2 x)))) 2) 1/2)
(.f64 (.f64 (log.f64 (+.f64 x (+.f64 (fabs.f64 x) (/.f64 1/2 x)))) 4) 1/4)
(.f64 1/4 (.f64 (log.f64 (+.f64 x (+.f64 (fabs.f64 x) (/.f64 1/2 x)))) 4))
(.f64 (+.f64 (.f64 (log.f64 (+.f64 x (+.f64 (fabs.f64 x) (/.f64 1/2 x)))) 4) (*.f64 (log.f64 (+.f64 x (+.f64 (fabs.f64 x) (/.f64 1/2 x)))) 4)) 1/8)
(/.f64 (log.f64 (+.f64 x (+.f64 (fabs.f64 x) (/.f64 1/2 x)))) 1)
(/.f64 (*.f64 (log.f64 (+.f64 x (+.f64 (fabs.f64 x) (/.f64 1/2 x)))) 2) 2)
(/.f64 (*.f64 (log.f64 (+.f64 x (+.f64 (fabs.f64 x) (/.f64 1/2 x)))) 4) 4)
(/.f64 (+.f64 (.f64 (log.f64 (+.f64 x (+.f64 (fabs.f64 x) (/.f64 1/2 x)))) 4) (.f64 (log.f64 (+.f64 x (+.f64 (fabs.f64 x) (/.f64 1/2 x)))) 4)) 8)
(pow.f64 (log.f64 (+.f64 x (+.f64 (fabs.f64 x) (/.f64 1/2 x)))) 1)

Outputs
(/.f64 1/2 x)
(+.f64 (fabs.f64 x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/2 x) (fabs.f64 x))
(+.f64 (fabs.f64 x) (+.f64 (*.f64 1/2 (/.f64 1 x)) x))
(+.f64 x (+.f64 (fabs.f64 x) (*.f64 1/2 (/.f64 1 x))))
(+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x)))
(+.f64 (fabs.f64 x) (+.f64 x (/.f64 1/2 x)))
(+.f64 (fabs.f64 x) (+.f64 (*.f64 1/2 (/.f64 1 x)) x))
(+.f64 x (+.f64 (fabs.f64 x) (*.f64 1/2 (/.f64 1 x))))
(+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x)))
(+.f64 (fabs.f64 x) (+.f64 x (/.f64 1/2 x)))
x
(+.f64 (fabs.f64 x) x)
(+.f64 x (fabs.f64 x))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (fabs.f64 x) x))
(+.f64 x (+.f64 (fabs.f64 x) (*.f64 1/2 (/.f64 1 x))))
(+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x)))
(+.f64 (fabs.f64 x) (+.f64 x (/.f64 1/2 x)))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (fabs.f64 x) x))
(+.f64 x (+.f64 (fabs.f64 x) (*.f64 1/2 (/.f64 1 x))))
(+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x)))
(+.f64 (fabs.f64 x) (+.f64 x (/.f64 1/2 x)))
x
(+.f64 (fabs.f64 x) x)
(+.f64 x (fabs.f64 x))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (fabs.f64 x) x))
(+.f64 x (+.f64 (fabs.f64 x) (*.f64 1/2 (/.f64 1 x))))
(+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x)))
(+.f64 (fabs.f64 x) (+.f64 x (/.f64 1/2 x)))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (fabs.f64 x) x))
(+.f64 x (+.f64 (fabs.f64 x) (*.f64 1/2 (/.f64 1 x))))
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(.f64 1/2 (+.f64 (/.f64 1 x) (.f64 2 (+.f64 x (fabs.f64 x)))))
(.f64 -1/2 (-.f64 (.f64 (+.f64 x (fabs.f64 x)) -2) (/.f64 1 x)))
(.f64 -1/2 (-.f64 (.f64 -2 (+.f64 x (fabs.f64 x))) (/.f64 1 x)))
(.f64 (.f64 (+.f64 x (+.f64 (fabs.f64 x) (/.f64 1/2 x))) 4) 1/4)
(+.f64 x (+.f64 (fabs.f64 x) (*.f64 1/2 (/.f64 1 x))))
(+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x)))
(+.f64 (fabs.f64 x) (+.f64 x (/.f64 1/2 x)))
(.f64 1/4 (.f64 (+.f64 x (+.f64 (fabs.f64 x) (/.f64 1/2 x))) 4))
(+.f64 x (+.f64 (fabs.f64 x) (*.f64 1/2 (/.f64 1 x))))
(+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x)))
(+.f64 (fabs.f64 x) (+.f64 x (/.f64 1/2 x)))
(.f64 (+.f64 (.f64 (+.f64 x (+.f64 (fabs.f64 x) (/.f64 1/2 x))) 4) (*.f64 (+.f64 x (+.f64 (fabs.f64 x) (/.f64 1/2 x))) 4)) 1/8)
(+.f64 x (+.f64 (fabs.f64 x) (*.f64 1/2 (/.f64 1 x))))
(+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x)))
(+.f64 (fabs.f64 x) (+.f64 x (/.f64 1/2 x)))
(.f64 (+.f64 (/.f64 1 x) (.f64 (+.f64 x (fabs.f64 x)) 2)) 1/2)
(.f64 1/2 (-.f64 (/.f64 1 x) (.f64 -2 (+.f64 x (fabs.f64 x)))))
(.f64 1/2 (+.f64 (/.f64 1 x) (.f64 2 (+.f64 x (fabs.f64 x)))))
(.f64 (+.f64 (.f64 (+.f64 x (fabs.f64 x)) 2) (/.f64 1 x)) 1/2)
(.f64 1/2 (-.f64 (/.f64 1 x) (.f64 -2 (+.f64 x (fabs.f64 x)))))
(.f64 1/2 (+.f64 (/.f64 1 x) (.f64 2 (+.f64 x (fabs.f64 x)))))
(.f64 (+.f64 (/.f64 -1 x) (+.f64 (/.f64 2 x) (.f64 (+.f64 x (fabs.f64 x)) 2))) 1/2)
(.f64 1/2 (-.f64 (/.f64 1 x) (.f64 -2 (+.f64 x (fabs.f64 x)))))
(.f64 1/2 (+.f64 (/.f64 1 x) (.f64 2 (+.f64 x (fabs.f64 x)))))
(.f64 (+.f64 (+.f64 (/.f64 2 x) (.f64 (+.f64 x (fabs.f64 x)) 2)) (/.f64 -1 x)) 1/2)
(.f64 1/2 (-.f64 (/.f64 1 x) (.f64 -2 (+.f64 x (fabs.f64 x)))))
(.f64 1/2 (+.f64 (/.f64 1 x) (.f64 2 (+.f64 x (fabs.f64 x)))))
(.f64 (-.f64 (.f64 (+.f64 x (fabs.f64 x)) 2) (/.f64 -1 x)) 1/2)
(.f64 1/2 (-.f64 (/.f64 1 x) (.f64 -2 (+.f64 x (fabs.f64 x)))))
(.f64 1/2 (+.f64 (/.f64 1 x) (.f64 2 (+.f64 x (fabs.f64 x)))))
(/.f64 (+.f64 x (+.f64 (fabs.f64 x) (/.f64 1/2 x))) 1)
(+.f64 x (+.f64 (fabs.f64 x) (*.f64 1/2 (/.f64 1 x))))
(+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x)))
(+.f64 (fabs.f64 x) (+.f64 x (/.f64 1/2 x)))
(/.f64 (-.f64 (/.f64 -1/2 x) (+.f64 x (fabs.f64 x))) -1)
(+.f64 x (+.f64 (fabs.f64 x) (*.f64 1/2 (/.f64 1 x))))
(+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x)))
(+.f64 (fabs.f64 x) (+.f64 x (/.f64 1/2 x)))
(/.f64 (-.f64 (/.f64 1 x) (*.f64 (+.f64 x (fabs.f64 x)) -2)) 2)
(+.f64 x (+.f64 (fabs.f64 x) (*.f64 1/2 (/.f64 1 x))))
(+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x)))
(+.f64 (fabs.f64 x) (+.f64 x (/.f64 1/2 x)))
(/.f64 (*.f64 (+.f64 x (+.f64 (fabs.f64 x) (/.f64 1/2 x))) 4) 4)
(+.f64 x (+.f64 (fabs.f64 x) (*.f64 1/2 (/.f64 1 x))))
(+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x)))
(+.f64 (fabs.f64 x) (+.f64 x (/.f64 1/2 x)))
(/.f64 (+.f64 (.f64 (+.f64 x (+.f64 (fabs.f64 x) (/.f64 1/2 x))) 4) (.f64 (+.f64 x (+.f64 (fabs.f64 x) (/.f64 1/2 x))) 4)) 8)
(+.f64 x (+.f64 (fabs.f64 x) (*.f64 1/2 (/.f64 1 x))))
(+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x)))
(+.f64 (fabs.f64 x) (+.f64 x (/.f64 1/2 x)))
(/.f64 (+.f64 (/.f64 1 x) (*.f64 (+.f64 x (fabs.f64 x)) 2)) 2)
(+.f64 x (+.f64 (fabs.f64 x) (*.f64 1/2 (/.f64 1 x))))
(+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x)))
(+.f64 (fabs.f64 x) (+.f64 x (/.f64 1/2 x)))
(/.f64 (+.f64 (*.f64 (+.f64 x (fabs.f64 x)) 2) (/.f64 1 x)) 2)
(+.f64 x (+.f64 (fabs.f64 x) (*.f64 1/2 (/.f64 1 x))))
(+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x)))
(+.f64 (fabs.f64 x) (+.f64 x (/.f64 1/2 x)))
(/.f64 (+.f64 (/.f64 -1 x) (+.f64 (/.f64 2 x) (*.f64 (+.f64 x (fabs.f64 x)) 2))) 2)
(+.f64 x (+.f64 (fabs.f64 x) (*.f64 1/2 (/.f64 1 x))))
(+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x)))
(+.f64 (fabs.f64 x) (+.f64 x (/.f64 1/2 x)))
(/.f64 (+.f64 (+.f64 (/.f64 2 x) (*.f64 (+.f64 x (fabs.f64 x)) 2)) (/.f64 -1 x)) 2)
(+.f64 x (+.f64 (fabs.f64 x) (*.f64 1/2 (/.f64 1 x))))
(+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x)))
(+.f64 (fabs.f64 x) (+.f64 x (/.f64 1/2 x)))
(/.f64 (-.f64 (*.f64 (+.f64 x (fabs.f64 x)) 2) (/.f64 -1 x)) 2)
(+.f64 x (+.f64 (fabs.f64 x) (*.f64 1/2 (/.f64 1 x))))
(+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x)))
(+.f64 (fabs.f64 x) (+.f64 x (/.f64 1/2 x)))
(pow.f64 (+.f64 x (+.f64 (fabs.f64 x) (/.f64 1/2 x))) 1)
(+.f64 x (+.f64 (fabs.f64 x) (*.f64 1/2 (/.f64 1 x))))
(+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x)))
(+.f64 (fabs.f64 x) (+.f64 x (/.f64 1/2 x)))
(neg.f64 (-.f64 (/.f64 -1/2 x) (+.f64 x (fabs.f64 x))))
(+.f64 x (+.f64 (fabs.f64 x) (*.f64 1/2 (/.f64 1 x))))
(+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x)))
(+.f64 (fabs.f64 x) (+.f64 x (/.f64 1/2 x)))
(+.f64 (log.f64 (+.f64 x (+.f64 (fabs.f64 x) (/.f64 1/2 x)))) 0)
(log.f64 (+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x))))
(log.f64 (+.f64 (fabs.f64 x) (+.f64 x (/.f64 1/2 x))))
(+.f64 0 (log.f64 (+.f64 x (+.f64 (fabs.f64 x) (/.f64 1/2 x)))))
(log.f64 (+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x))))
(log.f64 (+.f64 (fabs.f64 x) (+.f64 x (/.f64 1/2 x))))
(+.f64 (/.f64 (log.f64 (+.f64 x (+.f64 (fabs.f64 x) (/.f64 1/2 x)))) 2) (/.f64 (log.f64 (+.f64 x (+.f64 (fabs.f64 x) (/.f64 1/2 x)))) 2))
(log.f64 (+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x))))
(log.f64 (+.f64 (fabs.f64 x) (+.f64 x (/.f64 1/2 x))))
(-.f64 (log.f64 (+.f64 x (+.f64 (fabs.f64 x) (/.f64 1/2 x)))) 0)
(log.f64 (+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x))))
(log.f64 (+.f64 (fabs.f64 x) (+.f64 x (/.f64 1/2 x))))
(-.f64 (*.f64 (log.f64 (+.f64 x (+.f64 (fabs.f64 x) (/.f64 1/2 x)))) 2) (log.f64 (+.f64 x (+.f64 (fabs.f64 x) (/.f64 1/2 x)))))
(log.f64 (+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x))))
(log.f64 (+.f64 (fabs.f64 x) (+.f64 x (/.f64 1/2 x))))
(-.f64 (/.f64 (log.f64 (+.f64 x (+.f64 (fabs.f64 x) (/.f64 1/2 x)))) 2) (/.f64 (neg.f64 (log.f64 (+.f64 x (+.f64 (fabs.f64 x) (/.f64 1/2 x))))) 2))
(log.f64 (+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x))))
(log.f64 (+.f64 (fabs.f64 x) (+.f64 x (/.f64 1/2 x))))
(*.f64 1 (log.f64 (+.f64 x (+.f64 (fabs.f64 x) (/.f64 1/2 x)))))
(log.f64 (+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x))))
(log.f64 (+.f64 (fabs.f64 x) (+.f64 x (/.f64 1/2 x))))
(.f64 1/2 (.f64 (log.f64 (+.f64 x (+.f64 (fabs.f64 x) (/.f64 1/2 x)))) 2))
(log.f64 (+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x))))
(log.f64 (+.f64 (fabs.f64 x) (+.f64 x (/.f64 1/2 x))))
(*.f64 (log.f64 (+.f64 x (+.f64 (fabs.f64 x) (/.f64 1/2 x)))) 1)
(log.f64 (+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x))))
(log.f64 (+.f64 (fabs.f64 x) (+.f64 x (/.f64 1/2 x))))
(.f64 2 (.f64 (log.f64 (+.f64 x (+.f64 (fabs.f64 x) (/.f64 1/2 x)))) 1/2))
(log.f64 (+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x))))
(log.f64 (+.f64 (fabs.f64 x) (+.f64 x (/.f64 1/2 x))))
(.f64 (.f64 (log.f64 (+.f64 x (+.f64 (fabs.f64 x) (/.f64 1/2 x)))) 2) 1/2)
(log.f64 (+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x))))
(log.f64 (+.f64 (fabs.f64 x) (+.f64 x (/.f64 1/2 x))))
(.f64 (.f64 (log.f64 (+.f64 x (+.f64 (fabs.f64 x) (/.f64 1/2 x)))) 4) 1/4)
(log.f64 (+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x))))
(log.f64 (+.f64 (fabs.f64 x) (+.f64 x (/.f64 1/2 x))))
(.f64 1/4 (.f64 (log.f64 (+.f64 x (+.f64 (fabs.f64 x) (/.f64 1/2 x)))) 4))
(log.f64 (+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x))))
(log.f64 (+.f64 (fabs.f64 x) (+.f64 x (/.f64 1/2 x))))
(.f64 (+.f64 (.f64 (log.f64 (+.f64 x (+.f64 (fabs.f64 x) (/.f64 1/2 x)))) 4) (*.f64 (log.f64 (+.f64 x (+.f64 (fabs.f64 x) (/.f64 1/2 x)))) 4)) 1/8)
(log.f64 (+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x))))
(log.f64 (+.f64 (fabs.f64 x) (+.f64 x (/.f64 1/2 x))))
(/.f64 (log.f64 (+.f64 x (+.f64 (fabs.f64 x) (/.f64 1/2 x)))) 1)
(log.f64 (+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x))))
(log.f64 (+.f64 (fabs.f64 x) (+.f64 x (/.f64 1/2 x))))
(/.f64 (*.f64 (log.f64 (+.f64 x (+.f64 (fabs.f64 x) (/.f64 1/2 x)))) 2) 2)
(log.f64 (+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x))))
(log.f64 (+.f64 (fabs.f64 x) (+.f64 x (/.f64 1/2 x))))
(/.f64 (*.f64 (log.f64 (+.f64 x (+.f64 (fabs.f64 x) (/.f64 1/2 x)))) 4) 4)
(log.f64 (+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x))))
(log.f64 (+.f64 (fabs.f64 x) (+.f64 x (/.f64 1/2 x))))
(/.f64 (+.f64 (.f64 (log.f64 (+.f64 x (+.f64 (fabs.f64 x) (/.f64 1/2 x)))) 4) (.f64 (log.f64 (+.f64 x (+.f64 (fabs.f64 x) (/.f64 1/2 x)))) 4)) 8)
(log.f64 (+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x))))
(log.f64 (+.f64 (fabs.f64 x) (+.f64 x (/.f64 1/2 x))))
(pow.f64 (log.f64 (+.f64 x (+.f64 (fabs.f64 x) (/.f64 1/2 x)))) 1)
(log.f64 (+.f64 x (+.f64 (/.f64 1/2 x) (fabs.f64 x))))
(log.f64 (+.f64 (fabs.f64 x) (+.f64 x (/.f64 1/2 x))))

eval1.1s (4.2%)

Compiler: Compiled 15126 to 10217 computations (32.5% saved)

prune533.0ms (2%)

Pruning

14 alts after pruning (6 fresh and 8 done)

	Pruned	Kept	Total
New	674	3	677
Fresh	0	3	3
Picked	1	0	1
Done	2	8	10
Total	677	14	691

Error

27.9b

Counts

691 → 14

Alt Table

Click to see full alt table

Status	Error	Program
✓	57.9b	(copysign.f64 (-.f64 (/.f64 (fabs.f64 x) x) (log.f64 (/.f64 1 x))) x)
	57.4b	(copysign.f64 (-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (/.f64 (fabs.f64 x) x)) x)
	47.4b	(copysign.f64 (+.f64 (log.f64 1/2) (neg.f64 (log.f64 x))) x)
	47.3b	(copysign.f64 (log.f64 (/.f64 1/2 x)) x)
	46.3b	(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
✓	46.1b	(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) (+.f64 x (/.f64 1/2 x)))) x)
	47.2b	(copysign.f64 (log.f64 (+.f64 (/.f64 1 x) (+.f64 (fabs.f64 x) (+.f64 x (/.f64 -1/2 x))))) x)
✓	47.2b	(copysign.f64 (log.f64 (+.f64 (/.f64 1/2 x) (+.f64 x (fabs.f64 x)))) x)
✓	45.8b	(copysign.f64 (log.f64 (+.f64 (+.f64 (fabs.f64 x) 1) (+.f64 (sqrt.f64 (+.f64 1 (*.f64 x x))) -1))) x)
	51.5b	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (*.f64 (sqrt.f64 2) (sqrt.f64 1/2)))) x)
✓	45.8b	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)
✓	51.4b	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) x)
✓	57.8b	(copysign.f64 (log.f64 (neg.f64 x)) x)
✓	58.2b	(copysign.f64 (log.f64 x) x)

Compiler

Compiled 149 to 106 computations (28.9% saved)

regimes303.0ms (1.1%)

Counts

24 → 3

Calls

Call 1

Inputs
(copysign.f64 (log.f64 x) x)
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
(copysign.f64 (log.f64 (/.f64 1/2 x)) x)
(copysign.f64 (neg.f64 (log.f64 (/.f64 -1 x))) x)
(copysign.f64 (neg.f64 (log.f64 (/.f64 1 x))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) x)) x)
(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x)
(copysign.f64 (log.f64 (+.f64 (neg.f64 x) (fabs.f64 x))) x)
(copysign.f64 (+.f64 (log.f64 1/2) (neg.f64 (log.f64 x))) x)
(copysign.f64 (log.f64 (+.f64 (/.f64 1/2 x) (+.f64 x (fabs.f64 x)))) x)
(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) (+.f64 x (/.f64 1/2 x)))) x)
(copysign.f64 (-.f64 (/.f64 (fabs.f64 x) x) (log.f64 (/.f64 1 x))) x)
(copysign.f64 (log.f64 (-.f64 (+.f64 (neg.f64 x) (fabs.f64 x)) (/.f64 1/2 x))) x)
(copysign.f64 (+.f64 (neg.f64 (log.f64 (/.f64 1 x))) (/.f64 (fabs.f64 x) x)) x)
(copysign.f64 (-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (/.f64 (fabs.f64 x) x)) x)
(copysign.f64 (log.f64 (+.f64 (/.f64 1 x) (+.f64 (fabs.f64 x) (+.f64 x (/.f64 -1/2 x))))) x)
(copysign.f64 (log.f64 (-.f64 (/.f64 1 x) (+.f64 (/.f64 1/2 x) (-.f64 (neg.f64 x) (fabs.f64 x))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)
(copysign.f64 (log.f64 (+.f64 (+.f64 (fabs.f64 x) 1) (+.f64 (sqrt.f64 (+.f64 1 (*.f64 x x))) -1))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (*.f64 (sqrt.f64 2) (sqrt.f64 1/2)))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (.f64 (sqrt.f64 (+.f64 2 (.f64 x (+.f64 x x)))) (sqrt.f64 1/2)))) x)
(copysign.f64 (log.f64 (-.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) (.f64 (fabs.f64 x) 1/2)) (*.f64 (fabs.f64 x) -1/2))) x)

Outputs

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

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

(copysign.f64 (log.f64 (+.f64 (/.f64 1/2 x) (+.f64 x (fabs.f64 x)))) x)

Calls

2 calls:

163.0ms	x
92.0ms	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)

Results

Error	Segments	Branch
29.3b	2	`x`
28.3b	3	`(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)`

Compiler

Compiled 263 to 153 computations (41.8% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	6.0675204824235776	13.863356591217888
0.0ms	-inf	-351.24201044649226

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes225.0ms (0.8%)

Counts

20 → 3

Calls

Call 1

Inputs
(copysign.f64 (log.f64 x) x)
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
(copysign.f64 (log.f64 (/.f64 1/2 x)) x)
(copysign.f64 (neg.f64 (log.f64 (/.f64 -1 x))) x)
(copysign.f64 (neg.f64 (log.f64 (/.f64 1 x))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) x)) x)
(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x)
(copysign.f64 (log.f64 (+.f64 (neg.f64 x) (fabs.f64 x))) x)
(copysign.f64 (+.f64 (log.f64 1/2) (neg.f64 (log.f64 x))) x)
(copysign.f64 (log.f64 (+.f64 (/.f64 1/2 x) (+.f64 x (fabs.f64 x)))) x)
(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) (+.f64 x (/.f64 1/2 x)))) x)
(copysign.f64 (-.f64 (/.f64 (fabs.f64 x) x) (log.f64 (/.f64 1 x))) x)
(copysign.f64 (log.f64 (-.f64 (+.f64 (neg.f64 x) (fabs.f64 x)) (/.f64 1/2 x))) x)
(copysign.f64 (+.f64 (neg.f64 (log.f64 (/.f64 1 x))) (/.f64 (fabs.f64 x) x)) x)
(copysign.f64 (-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (/.f64 (fabs.f64 x) x)) x)
(copysign.f64 (log.f64 (+.f64 (/.f64 1 x) (+.f64 (fabs.f64 x) (+.f64 x (/.f64 -1/2 x))))) x)
(copysign.f64 (log.f64 (-.f64 (/.f64 1 x) (+.f64 (/.f64 1/2 x) (-.f64 (neg.f64 x) (fabs.f64 x))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)

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

Calls

2 calls:

133.0ms	x
84.0ms	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)

Results

Error	Segments	Branch
29.3b	2	`x`
28.3b	3	`(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)`

Compiler

Compiled 200 to 113 computations (43.5% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	6.0675204824235776	13.863356591217888
0.0ms	-inf	-351.24201044649226

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes162.0ms (0.6%)

Counts

19 → 2

Calls

Call 1

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

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

Calls

1 calls:

105.0ms

Results

Error	Segments	Branch
29.3b	2	`x`

Compiler

Compiled 175 to 97 computations (44.6% saved)

bsearch293.0ms (1.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
293.0ms	-7.758394124732023e-308	3.988268297588762e-300

Results

291.0ms

80×

body

2048

valid

Compiler

Compiled 167 to 117 computations (29.9% saved)

regimes102.0ms (0.4%)

Counts

17 → 2

Calls

Call 1

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

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

Calls

1 calls:

79.0ms

Results

Error	Segments	Branch
29.3b	2	`x`

Compiler

Compiled 144 to 79 computations (45.1% saved)

bsearch1.8s (6.5%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
1.8s	-7.758394124732023e-308	3.988268297588762e-300

Results

1.8s

112×

body

2048

valid

Compiler

Compiled 199 to 138 computations (30.7% saved)

regimes122.0ms (0.5%)

Counts

12 → 2

Calls

Call 1

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

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

Calls

1 calls:

93.0ms

Results

Error	Segments	Branch
29.4b	2	`x`

Compiler

Compiled 86 to 50 computations (41.9% saved)

bsearch655.0ms (2.4%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
655.0ms	-7.758394124732023e-308	3.988268297588762e-300

Results

652.0ms

112×

body

2048

valid

Compiler

Compiled 164 to 117 computations (28.7% saved)

regimes56.0ms (0.2%)

Counts

11 → 2

Calls

Call 1

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

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

Calls

1 calls:

52.0ms

Results

Error	Segments	Branch
29.6b	2	`x`

Compiler

Compiled 75 to 44 computations (41.3% saved)

bsearch1.1s (3.9%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
1.1s	-7.758394124732023e-308	3.988268297588762e-300

Results

1.1s

112×

body

2048

valid

Compiler

Compiled 129 to 96 computations (25.6% saved)

regimes55.0ms (0.2%)

Counts

3 → 2

Calls

Call 1

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

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

Calls

1 calls:

54.0ms

Results

Error	Segments	Branch
40.5b	2	`x`

Compiler

Compiled 18 to 11 computations (38.9% saved)

bsearch822.0ms (3.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
822.0ms	-7.758394124732023e-308	3.988268297588762e-300

Results

819.0ms

112×

body

2048

valid

Compiler

Compiled 115 to 82 computations (28.7% saved)

regimes24.0ms (0.1%)

Accuracy

Total -12.0b remaining (-23.2%)

Threshold costs -12.0b (-23.2%)

Counts

2 → 2

Calls

Call 1

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

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

Calls

1 calls:

23.0ms

Results

Error	Segments	Branch
52.0b	2	`x`

Compiler

Compiled 12 to 7 computations (41.7% saved)

bsearch654.0ms (2.4%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
653.0ms	-7.758394124732023e-308	3.988268297588762e-300

Results

634.0ms

144×

body

2048

valid

Compiler

Compiled 134 to 93 computations (30.6% saved)

simplify51.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	713

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) 1)))) x) -inf.0) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) 1)))) x) 10) (copysign.f64 (log.f64 (+.f64 (+.f64 (fabs.f64 x) 1) (+.f64 (sqrt.f64 (+.f64 1 (*.f64 x x))) -1))) x) (copysign.f64 (log.f64 (+.f64 (/.f64 1/2 x) (+.f64 x (fabs.f64 x)))) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) 1)))) x) -inf.0) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) 1)))) x) 10) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x) (copysign.f64 (log.f64 (+.f64 (/.f64 1/2 x) (+.f64 x (fabs.f64 x)))) x)))
(if (<=.f64 x -1012011266536553/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392) (copysign.f64 (log.f64 (-.f64 (fabs.f64 x) (+.f64 x (/.f64 1/2 x)))) x) (copysign.f64 (log.f64 (+.f64 (/.f64 1 x) (+.f64 (fabs.f64 x) (+.f64 x (/.f64 -1/2 x))))) x))
(if (<=.f64 x -1012011266536553/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (copysign.f64 (log.f64 (-.f64 (fabs.f64 x) (+.f64 x (/.f64 1/2 x)))) x) (copysign.f64 (log.f64 (+.f64 (/.f64 1/2 x) (+.f64 x (fabs.f64 x)))) x))
(if (<=.f64 x -1012011266536553/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (copysign.f64 (log.f64 (+.f64 (/.f64 1/2 x) (+.f64 x (fabs.f64 x)))) x))
(if (<=.f64 x -1012011266536553/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (copysign.f64 (log.f64 (/.f64 1/2 x)) x))
(if (<=.f64 x -1012011266536553/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (copysign.f64 (log.f64 x) x))
(if (<=.f64 x -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392) (copysign.f64 (log.f64 (neg.f64 x)) x) (copysign.f64 (log.f64 x) x))
(copysign.f64 (log.f64 x) x)

Outputs
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) 1)))) x) -inf.0) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) 1)))) x) 10) (copysign.f64 (log.f64 (+.f64 (+.f64 (fabs.f64 x) 1) (+.f64 (sqrt.f64 (+.f64 1 (*.f64 x x))) -1))) x) (copysign.f64 (log.f64 (+.f64 (/.f64 1/2 x) (+.f64 x (fabs.f64 x)))) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) 1)))) x) -inf.0) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) 1)))) x) 10) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x) (copysign.f64 (log.f64 (+.f64 (/.f64 1/2 x) (+.f64 x (fabs.f64 x)))) x)))
(if (<=.f64 x -1012011266536553/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392) (copysign.f64 (log.f64 (-.f64 (fabs.f64 x) (+.f64 x (/.f64 1/2 x)))) x) (copysign.f64 (log.f64 (+.f64 (/.f64 1 x) (+.f64 (fabs.f64 x) (+.f64 x (/.f64 -1/2 x))))) x))
(if (<=.f64 x -1012011266536553/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (copysign.f64 (log.f64 (-.f64 (fabs.f64 x) (+.f64 x (/.f64 1/2 x)))) x) (copysign.f64 (log.f64 (+.f64 (/.f64 1/2 x) (+.f64 x (fabs.f64 x)))) x))
(if (<=.f64 x -1012011266536553/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (copysign.f64 (log.f64 (+.f64 (/.f64 1/2 x) (+.f64 x (fabs.f64 x)))) x))
(if (<=.f64 x -1012011266536553/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (copysign.f64 (log.f64 (/.f64 1/2 x)) x))
(if (<=.f64 x -1012011266536553/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (copysign.f64 (log.f64 x) x))
(if (<=.f64 x -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392) (copysign.f64 (log.f64 (neg.f64 x)) x) (copysign.f64 (log.f64 x) x))
(copysign.f64 (log.f64 x) x)

Compiler

Compiled 255 to 164 computations (35.7% saved)

soundness1.7s (6.3%)

Algorithm

3×	egg-herbie

Rules

1074×	`rational_best-simplify-57`
1046×	`rational_best-simplify-1`
1046×	`rational_best-simplify-1`
924×	`rational_best-simplify-48`
888×	`rational_best-simplify-51`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	350	6882
1	875	6256
2	2008	5838
3	7269	5724
0	350	6882
1	875	6256
2	2008	5838
3	7269	5724
0	373	5141
1	976	4829
2	2499	4665

Stop Event

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

Compiler

Compiled 615 to 414 computations (32.7% saved)

end1.5s (5.5%)

Compiler: Compiled 247 to 144 computations (41.7% saved)

Details

analyze0.0ms (0%)

sample3.3s (12.1%)

preprocess9.0ms (0%)

simplify352.0ms (1.3%)

eval1.0ms (0%)

prune1.0ms (0%)

localize350.0ms (1.3%)

series30.0ms (0.1%)

rewrite238.0ms (0.9%)

simplify374.0ms (1.4%)

eval461.0ms (1.7%)

prune371.0ms (1.4%)

localize131.0ms (0.5%)

series23.0ms (0.1%)

rewrite342.0ms (1.3%)

simplify640.0ms (2.4%)

localize67.0ms (0.2%)

localize64.0ms (0.2%)

series218.0ms (0.8%)

rewrite308.0ms (1.1%)

simplify464.0ms (1.7%)

localize57.0ms (0.2%)

localize72.0ms (0.3%)

eval741.0ms (2.8%)

prune484.0ms (1.8%)

localize152.0ms (0.6%)

series14.0ms (0.1%)

rewrite367.0ms (1.4%)

simplify658.0ms (2.4%)

localize10.0ms (0%)

localize30.0ms (0.1%)

localize64.0ms (0.2%)

series19.0ms (0.1%)

rewrite261.0ms (1%)

simplify444.0ms (1.6%)

localize60.0ms (0.2%)

eval1.2s (4.4%)

prune740.0ms (2.7%)

localize120.0ms (0.4%)

series31.0ms (0.1%)

rewrite306.0ms (1.1%)

simplify474.0ms (1.8%)

localize25.0ms (0.1%)

localize45.0ms (0.2%)

localize77.0ms (0.3%)

series1.0ms (0%)

rewrite259.0ms (1%)

simplify358.0ms (1.3%)

localize108.0ms (0.4%)

series14.0ms (0.1%)

rewrite370.0ms (1.4%)

simplify481.0ms (1.8%)

eval1.1s (4.2%)

prune533.0ms (2%)

regimes303.0ms (1.1%)

bsearch1.0ms (0%)

regimes225.0ms (0.8%)

bsearch1.0ms (0%)

regimes162.0ms (0.6%)

bsearch293.0ms (1.1%)

regimes102.0ms (0.4%)

bsearch1.8s (6.5%)

regimes122.0ms (0.5%)

bsearch655.0ms (2.4%)

regimes56.0ms (0.2%)

bsearch1.1s (3.9%)

regimes55.0ms (0.2%)

bsearch822.0ms (3.1%)

regimes24.0ms (0.1%)

bsearch654.0ms (2.4%)

simplify51.0ms (0.2%)

soundness1.7s (6.3%)

end1.5s (5.5%)

Profiling