Details

analyze124.0ms (1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
25%	25%	75%	0%	0%	0%	0%	3
50%	50%	50%	0%	0%	0%	0%	4
62.5%	62.5%	37.5%	0%	0%	0%	0%	5
68.8%	68.7%	31.2%	0%	0%	0%	0%	6
71.9%	71.8%	28.1%	0%	0%	0%	0%	7
73.4%	73.4%	26.5%	0%	0%	0%	0%	8
74.2%	74.2%	25.8%	0%	0%	0%	0%	9
74.6%	74.6%	25.4%	0%	0%	0%	0%	10
74.8%	74.8%	25.2%	0%	0%	0%	0%	11
74.9%	74.9%	25.1%	0%	0%	0%	0%	12

Compiler

Compiled 11 to 8 computations (27.3% saved)

sample2.5s (20%)

Results

1.2s	2569×	body	1024	valid
595.0ms	1275×	body	2048	valid
369.0ms	3098×	body	256	valid
327.0ms	1273×	body	512	valid
25.0ms	41×	body	4096	valid

Bogosity

preprocess4.0ms (0%)

Algorithm

2×	egg-herbie

Rules

4×	`+-commutative`
2×	`1-exp`
2×	`hypot-1-def`
2×	`fma-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	16	17
2	17	17
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

Outputs
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x 1))))
(log.f64 (+.f64 x (hypot.f64 1 x)))

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify13.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative`
2×	`1-exp`
2×	`hypot-1-def`
2×	`fma-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	16	17
2	17	17

Stop Event

1×

saturated

Counts

1 → 3

Calls

Call 1

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

Outputs
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x 1))))
(log.f64 (+.f64 x (hypot.f64 1 x)))

eval1.0ms (0%)

Compiler: Compiled 24 to 16 computations (33.3% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

69.64%

Counts

4 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	69.65%	(log.f64 (+.f64 x (hypot.f64 1 x)))
▶	80.61%	(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))

Compiler

Compiled 17 to 12 computations (29.4% saved)

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	2.01%	(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
✓	4.5%	(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
✓	20.06%	(sqrt.f64 (+.f64 (*.f64 x x) 1))

Compiler

Compiled 34 to 17 computations (50% saved)

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite80.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

846×	`*-commutative`
760×	`associate-*r/`
748×	`unswap-sqr`
610×	`associate-*l/`
580×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	55
1	208	37
2	2753	37

Stop Event

1×	node limit

Counts

3 → 160

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (hypot.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (hypot.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (hypot.f64 1 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (hypot.f64 1 x) (pow.f64 1 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (hypot.f64 1 x)) (cbrt.f64 (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x 1))) (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x x 1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x x 1) 2))) (sqrt.f64 (cbrt.f64 (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/2) (hypot.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x x 1) 2)) 1/2) (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 1/2) (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x x 1) 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (cbrt.f64 (hypot.f64 1 x))) (cbrt.f64 (hypot.f64 1 x))) (.f64 (sqrt.f64 (cbrt.f64 (hypot.f64 1 x))) (cbrt.f64 (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 1 x))) (sqrt.f64 (cbrt.f64 (fma.f64 x x 1)))) (.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 1 x))) (sqrt.f64 (cbrt.f64 (fma.f64 x x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (hypot.f64 1 x)) (sqrt.f64 (cbrt.f64 (hypot.f64 1 x)))) (.f64 (cbrt.f64 (hypot.f64 1 x)) (sqrt.f64 (cbrt.f64 (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x 1))) (cbrt.f64 (sqrt.f64 (hypot.f64 1 x)))) (.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x 1))) (cbrt.f64 (sqrt.f64 (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1)) (sqrt.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 6))) (sqrt.f64 (+.f64 (pow.f64 x 4) (neg.f64 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1 (sqrt.f64 (+.f64 (pow.f64 x 4) -1))) (sqrt.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1 (sqrt.f64 (+.f64 1 (pow.f64 x 6)))) (sqrt.f64 (+.f64 (pow.f64 x 4) (neg.f64 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cbrt.f64 (hypot.f64 1 x)) (cbrt.f64 (+.f64 (pow.f64 x 4) -1))) (cbrt.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cbrt.f64 (hypot.f64 1 x)) (cbrt.f64 (+.f64 1 (pow.f64 x 6)))) (cbrt.f64 (+.f64 (pow.f64 x 4) (neg.f64 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 (pow.f64 x 4) -1))) (sqrt.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1 (pow.f64 x 6)))) (sqrt.f64 (+.f64 (pow.f64 x 4) (neg.f64 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1)) 1) (sqrt.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 6))) 1) (sqrt.f64 (+.f64 (pow.f64 x 4) (neg.f64 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -1)) (cbrt.f64 (hypot.f64 1 x))) (cbrt.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 6))) (cbrt.f64 (hypot.f64 1 x))) (cbrt.f64 (+.f64 (pow.f64 x 4) (neg.f64 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x x 1) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 1 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (hypot.f64 1 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (hypot.f64 1 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 1 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (hypot.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (hypot.f64 1 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 1 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2))) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 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(log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (+.f64 (hypot.f64 1 x) (-.f64 x 1)))))))
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Outputs

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simplify107.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1152×	`associate-*r/`
1016×	`+-commutative`
926×	`associate-+l+`
772×	`associate-+r+`
438×	`fma-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	487	7260
1	1274	6624
2	4966	6624

Stop Event

1×	node limit

Counts

196 → 310

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

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

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	2.01%	(+.f64 x (hypot.f64 1 x))
✓	4.5%	(log.f64 (+.f64 x (hypot.f64 1 x)))

Compiler

Compiled 17 to 11 computations (35.3% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite61.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1604×	`add-sqr-sqrt`
1590×	`*-un-lft-identity`
1478×	`add-cube-cbrt`
1462×	`add-cbrt-cube`
1448×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	30
1	158	30
2	1952	30

Stop Event

1×	node limit

Counts

2 → 57

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 x x (.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 (.f64 x x) (+.f64 1 (.f64 x x)))) (log.f64 (-.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 x x) (-.f64 x (hypot.f64 1 x))) (/.f64 (+.f64 1 (.f64 x x)) (-.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 x (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 x (hypot.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 x x) (+.f64 1 (.f64 x x))) (/.f64 1 (-.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 x x (.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (.f64 x x) (+.f64 1 (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 x x) (+.f64 1 (.f64 x x))) (-.f64 x (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x x (.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (+.f64 1 (.f64 x x)) (-.f64 (.f64 x x) (.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 1 (.f64 x x)) (.f64 x x)) (-.f64 (hypot.f64 1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (.f64 x x) (+.f64 1 (.f64 x x)))) (neg.f64 (-.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (neg.f64 (fma.f64 x x (.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (hypot.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (hypot.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (hypot.f64 1 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 1 (*.f64 x x))) (cbrt.f64 (hypot.f64 1 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (hypot.f64 1 x))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x)))) (log.f64 (-.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (-.f64 x (hypot.f64 1 x))) (/.f64 (+.f64 1 (*.f64 x x)) (-.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (hypot.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x))) (/.f64 1 (-.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x))) (-.f64 x (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (+.f64 1 (*.f64 x x)) (-.f64 (*.f64 x x) (*.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x)) (-.f64 (hypot.f64 1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x)))) (neg.f64 (-.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (neg.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (hypot.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (hypot.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (hypot.f64 1 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 1 (*.f64 x x))) (cbrt.f64 (hypot.f64 1 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (hypot.f64 1 x))))))

simplify77.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1258×	`associate-+l-`
1152×	`fma-def`
1062×	`associate-+r-`
916×	`unswap-sqr`
542×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	216	2461
1	559	2087
2	2026	1941
3	7089	1941

Stop Event

1×	node limit

Counts

81 → 137

Calls

Call 1

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

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

eval191.0ms (1.5%)

Compiler: Compiled 7656 to 5591 computations (27% saved)

prune77.0ms (0.6%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	437	10	447
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	438	11	449

Error

0.02%

Counts

449 → 11

Alt Table

Click to see full alt table

Status	Error	Program
	48.35%	(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)))
▶	47.9%	(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x))
▶	48.56%	(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
▶	68.94%	(log1p.f64 (+.f64 (hypot.f64 1 x) (-.f64 x 1)))
	72.68%	(log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))
	77%	(log.f64 (/.f64 -1/2 x))
✓	69.65%	(log.f64 (+.f64 x (hypot.f64 1 x)))
▶	99.27%	(log.f64 (+.f64 x (-.f64 (neg.f64 x) (/.f64 1/2 x))))
	72.98%	(log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))
▶	73.9%	(log.f64 (+.f64 x x))
	46.33%	x

Compiler

Compiled 187 to 140 computations (25.1% saved)

localize21.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.09%	(*.f64 3/40 (pow.f64 x 5))
✓	0.25%	(*.f64 -1/6 (pow.f64 x 3))
✓	25.35%	(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x))

Compiler

Compiled 42 to 32 computations (23.8% saved)

series3.0ms (0%)

Counts

3 → 6

Calls

9 calls:

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

rewrite98.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1170×	`associate-*r/`
1000×	`distribute-rgt-in`
966×	`distribute-lft-in`
838×	`associate-*l/`
296×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	55
1	300	55
2	3761	55

Stop Event

1×	node limit

Counts

3 → 121

Calls

Call 1

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

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (cbrt.f64 -1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 6) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 3/40 (pow.f64 x 5)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3/40 (pow.f64 x 5)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 3/40) (pow.f64 x 5/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 3/40 (pow.f64 x 5))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 3/40 (pow.f64 x 5)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 9/1600 (pow.f64 x 10)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 3/40) (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 3/40 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 3/40 (pow.f64 x 5)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 3/40 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 3/40 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 3/40 (pow.f64 x 5))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 3/40 (pow.f64 x 5))))))))

simplify121.0ms (1%)

Algorithm

1×	egg-herbie

Rules

858×	`associate-/r/`
744×	`associate-/l/`
736×	`associate-+r+`
698×	`associate-+l+`
688×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	333	9071
1	956	8795
2	4329	8721

Stop Event

1×	node limit

Counts

127 → 188

Calls

Call 1

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

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

localize4.0ms (0%)

Compiler: Compiled 9 to 3 computations (66.7% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.01%	(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
	0.25%	(*.f64 -1/6 (pow.f64 x 3))

Compiler

Compiled 19 to 14 computations (26.3% saved)

series0.0ms (0%)

Counts

1 → 3

Calls

3 calls:

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

rewrite68.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1738×	`add-sqr-sqrt`
1702×	`*-un-lft-identity`
1614×	`add-cube-cbrt`
1602×	`add-cbrt-cube`
166×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	180	15
2	2169	15

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 x 6) 1/36) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x)) (/.f64 1 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3)) (/.f64 1 (+.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x (-.f64 x (*.f64 -1/6 (pow.f64 x 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x) (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x (-.f64 x (*.f64 -1/6 (pow.f64 x 3))))) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x)) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3)) (+.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x (-.f64 x (*.f64 -1/6 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 (pow.f64 x 3) (*.f64 -1/6 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 x 6) 1/36)) (-.f64 x (*.f64 -1/6 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3))) (neg.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x (-.f64 x (*.f64 -1/6 (pow.f64 x 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/6 (pow.f64 x 3) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/6 (pow.f64 x 3) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3) -1/6 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 -1/6 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -1/6 (pow.f64 x 3)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 -1/6 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 x (cbrt.f64 -1/6)) 2) (*.f64 x (cbrt.f64 -1/6)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 -1/6 (pow.f64 x 3)))))))

simplify54.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1198×	`distribute-lft-in`
1068×	`distribute-rgt-in`
628×	`*-commutative`
552×	`associate-*r/`
538×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	98	1136
1	242	1074
2	933	1006
3	3448	1006

Stop Event

1×	node limit

Counts

40 → 46

Calls

Call 1

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

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

localize87.0ms (0.7%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.02%	(-.f64 (neg.f64 x) (/.f64 1/2 x))
✓	3.49%	(+.f64 x (-.f64 (neg.f64 x) (/.f64 1/2 x)))

Compiler

Compiled 31 to 17 computations (45.2% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite165.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1528×	`associate-*r/`
976×	`associate-/r*`
942×	`associate-*l/`
842×	`*-commutative`
462×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	40
1	211	32
2	3208	32

Stop Event

1×	node limit

Counts

2 → 281

Calls

Call 1

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

Outputs

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x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 x (/.f64 1/2 x))))))

simplify205.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1136×	`associate-r`
1006×	`associate-/l*`
970×	`associate-l`
940×	`associate-/r*`
748×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	645	17249
1	1977	16863

Stop Event

1×	node limit

Counts

305 → 455

Calls

Call 1

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

Outputs
(/.f64 -1/2 x)
(/.f64 -1/2 x)
(/.f64 -1/2 x)
(/.f64 -1/2 x)
(/.f64 -1/2 x)
(/.f64 -1/2 x)
(/.f64 -1/2 x)
(/.f64 -1/2 x)
(/.f64 -1/2 x)
(/.f64 -1/2 x)
(/.f64 -1/2 x)
(/.f64 -1/2 x)
(/.f64 -1/2 x)
(-.f64 (.f64 -1 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (neg.f64 x) (/.f64 1/2 x))
(+.f64 (neg.f64 x) (/.f64 -1/2 x))
(-.f64 (.f64 -1 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (neg.f64 x) (/.f64 1/2 x))
(+.f64 (neg.f64 x) (/.f64 -1/2 x))
(-.f64 (.f64 -1 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (neg.f64 x) (/.f64 1/2 x))
(+.f64 (neg.f64 x) (/.f64 -1/2 x))
(*.f64 -1 x)
(neg.f64 x)
(-.f64 (.f64 -1 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (neg.f64 x) (/.f64 1/2 x))
(+.f64 (neg.f64 x) (/.f64 -1/2 x))
(-.f64 (.f64 -1 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (neg.f64 x) (/.f64 1/2 x))
(+.f64 (neg.f64 x) (/.f64 -1/2 x))
(-.f64 (.f64 -1 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (neg.f64 x) (/.f64 1/2 x))
(+.f64 (neg.f64 x) (/.f64 -1/2 x))
(*.f64 -1 x)
(neg.f64 x)
(-.f64 (.f64 -1 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (neg.f64 x) (/.f64 1/2 x))
(+.f64 (neg.f64 x) (/.f64 -1/2 x))
(-.f64 (.f64 -1 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (neg.f64 x) (/.f64 1/2 x))
(+.f64 (neg.f64 x) (/.f64 -1/2 x))
(-.f64 (.f64 -1 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (neg.f64 x) (/.f64 1/2 x))
(+.f64 (neg.f64 x) (/.f64 -1/2 x))
(-.f64 x (+.f64 x (/.f64 1/2 x)))
(-.f64 (-.f64 x x) (/.f64 1/2 x))
(-.f64 x (-.f64 (+.f64 x (/.f64 1/2 x)) (fma.f64 (+.f64 x (/.f64 1/2 x)) 1 (+.f64 x (/.f64 1/2 x)))))
(+.f64 (-.f64 x (+.f64 x (/.f64 1/2 x))) (+.f64 (+.f64 x (/.f64 1/2 x)) (+.f64 x (/.f64 1/2 x))))
(+.f64 (+.f64 (-.f64 (-.f64 x x) (/.f64 1/2 x)) (+.f64 x (/.f64 1/2 x))) (+.f64 x (/.f64 1/2 x)))
(-.f64 x (-.f64 (+.f64 x (/.f64 1/2 x)) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 x (/.f64 1/2 x)))) (sqrt.f64 (+.f64 x (/.f64 1/2 x))) (+.f64 x (/.f64 1/2 x)))))
(+.f64 (-.f64 x (+.f64 x (/.f64 1/2 x))) (+.f64 (-.f64 (neg.f64 x) (/.f64 1/2 x)) (+.f64 x (/.f64 1/2 x))))
(+.f64 (-.f64 (-.f64 x x) (/.f64 1/2 x)) (+.f64 (-.f64 (-.f64 x x) (/.f64 1/2 x)) (/.f64 1/2 x)))
(-.f64 x (-.f64 (+.f64 x (/.f64 1/2 x)) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 x (/.f64 1/2 x)))) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 1/2 x))) 2) (+.f64 x (/.f64 1/2 x)))))
(+.f64 (-.f64 x (+.f64 x (/.f64 1/2 x))) (+.f64 (-.f64 (neg.f64 x) (/.f64 1/2 x)) (+.f64 x (/.f64 1/2 x))))
(+.f64 (-.f64 (-.f64 x x) (/.f64 1/2 x)) (+.f64 (-.f64 (-.f64 x x) (/.f64 1/2 x)) (/.f64 1/2 x)))
(-.f64 (+.f64 x (/.f64 1/2 x)) x)
(+.f64 (/.f64 1/2 x) (-.f64 x x))
(-.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))) (fma.f64 (neg.f64 (/.f64 -1 x)) 1/2 (/.f64 1/2 x)))
(-.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))) (+.f64 (/.f64 1/2 x) (/.f64 1/2 x)))
(+.f64 x (+.f64 x (-.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/2 x) (/.f64 1/2 x)))))
(-.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))) (fma.f64 (/.f64 1/2 x) 1 (/.f64 1/2 x)))
(-.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))) (+.f64 (/.f64 1/2 x) (/.f64 1/2 x)))
(+.f64 x (+.f64 x (-.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/2 x) (/.f64 1/2 x)))))
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(/.f64 (+.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3))) (+.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2) (*.f64 x (/.f64 -1/2 x))))
(/.f64 (neg.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2)) (+.f64 x (/.f64 1/2 x)))
(-.f64 (neg.f64 x) (/.f64 1/2 x))
(+.f64 (neg.f64 x) (/.f64 -1/2 x))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3)))) (neg.f64 (fma.f64 x x (*.f64 (/.f64 1/2 x) (+.f64 x (/.f64 1/2 x))))))
(/.f64 (.f64 1 (+.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3)))) (-.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2) (.f64 x (/.f64 1/2 x))))
(/.f64 (+.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3))) (-.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2) (*.f64 x (/.f64 1/2 x))))
(/.f64 (+.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3))) (+.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2) (*.f64 x (/.f64 -1/2 x))))
(/.f64 (*.f64 1 (neg.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2))) (+.f64 x (/.f64 1/2 x)))
(-.f64 (neg.f64 x) (/.f64 1/2 x))
(+.f64 (neg.f64 x) (/.f64 -1/2 x))
(/.f64 (.f64 1 (neg.f64 (-.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3))))) (neg.f64 (fma.f64 x x (.f64 (/.f64 1/2 x) (+.f64 x (/.f64 1/2 x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3)))) (neg.f64 (fma.f64 x x (*.f64 (/.f64 1/2 x) (+.f64 x (/.f64 1/2 x))))))
(/.f64 (.f64 (sqrt.f64 (+.f64 x (/.f64 1/2 x))) (sqrt.f64 (-.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3))))) (sqrt.f64 (fma.f64 x x (.f64 (/.f64 1/2 x) (+.f64 x (/.f64 1/2 x))))))
(/.f64 (sqrt.f64 (+.f64 x (/.f64 1/2 x))) (/.f64 (sqrt.f64 (fma.f64 x x (*.f64 (/.f64 1/2 x) (+.f64 x (/.f64 1/2 x))))) (sqrt.f64 (-.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3))))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 1/2 x))) 2) (cbrt.f64 (-.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3))))) (cbrt.f64 (fma.f64 x x (.f64 (/.f64 1/2 x) (+.f64 x (/.f64 1/2 x))))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 1/2 x))) 2) (/.f64 (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 1/2 x) (+.f64 x (/.f64 1/2 x))))) (cbrt.f64 (-.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3))))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3))) 1) (-.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2) (.f64 x (/.f64 1/2 x))))
(/.f64 (+.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3))) (-.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2) (*.f64 x (/.f64 1/2 x))))
(/.f64 (+.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3))) (+.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2) (*.f64 x (/.f64 -1/2 x))))
(/.f64 (*.f64 (neg.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2)) 1) (+.f64 x (/.f64 1/2 x)))
(-.f64 (neg.f64 x) (/.f64 1/2 x))
(+.f64 (neg.f64 x) (/.f64 -1/2 x))
(/.f64 (.f64 (neg.f64 (-.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3)))) 1) (neg.f64 (fma.f64 x x (.f64 (/.f64 1/2 x) (+.f64 x (/.f64 1/2 x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3)))) (neg.f64 (fma.f64 x x (*.f64 (/.f64 1/2 x) (+.f64 x (/.f64 1/2 x))))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3)))) (sqrt.f64 (+.f64 x (/.f64 1/2 x)))) (sqrt.f64 (fma.f64 x x (.f64 (/.f64 1/2 x) (+.f64 x (/.f64 1/2 x))))))
(/.f64 (sqrt.f64 (+.f64 x (/.f64 1/2 x))) (/.f64 (sqrt.f64 (fma.f64 x x (*.f64 (/.f64 1/2 x) (+.f64 x (/.f64 1/2 x))))) (sqrt.f64 (-.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3))))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3)))) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 1/2 x))) 2)) (cbrt.f64 (fma.f64 x x (.f64 (/.f64 1/2 x) (+.f64 x (/.f64 1/2 x))))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 1/2 x))) 2) (/.f64 (cbrt.f64 (fma.f64 x x (*.f64 (/.f64 1/2 x) (+.f64 x (/.f64 1/2 x))))) (cbrt.f64 (-.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3))))))
(/.f64 (.f64 (.f64 (-.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3))) (-.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3)))) (/.f64 1 (+.f64 x (/.f64 1/2 x)))) (.f64 (fma.f64 x x (.f64 (/.f64 1/2 x) (+.f64 x (/.f64 1/2 x)))) (fma.f64 x x (*.f64 (/.f64 1/2 x) (+.f64 x (/.f64 1/2 x))))))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3))) (-.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3)))) (fma.f64 x x (.f64 (/.f64 1/2 x) (+.f64 x (/.f64 1/2 x))))) (/.f64 (/.f64 1 (+.f64 x (/.f64 1/2 x))) (fma.f64 x x (.f64 (/.f64 1/2 x) (+.f64 x (/.f64 1/2 x))))))
(/.f64 (/.f64 (.f64 (-.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3))) (-.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3)))) (+.f64 x (/.f64 1/2 x))) (.f64 (fma.f64 x x (.f64 (/.f64 1/2 x) (+.f64 x (/.f64 1/2 x)))) (fma.f64 x x (.f64 (/.f64 1/2 x) (+.f64 x (/.f64 1/2 x))))))
(/.f64 (.f64 (.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2) (pow.f64 (+.f64 x (/.f64 1/2 x)) 2)) (/.f64 1 (+.f64 x (/.f64 1/2 x)))) (pow.f64 (+.f64 x (/.f64 1/2 x)) 2))
(+.f64 x (/.f64 1/2 x))
(/.f64 (.f64 (.f64 (+.f64 x (/.f64 1/2 x)) (-.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3)))) (/.f64 1 (+.f64 x (/.f64 1/2 x)))) (fma.f64 x x (*.f64 (/.f64 1/2 x) (+.f64 x (/.f64 1/2 x)))))
(/.f64 (.f64 (/.f64 1 (+.f64 x (/.f64 1/2 x))) (.f64 (+.f64 x (/.f64 1/2 x)) (-.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3))))) (fma.f64 x x (*.f64 (/.f64 1/2 x) (+.f64 x (/.f64 1/2 x)))))
(/.f64 (/.f64 (.f64 (+.f64 x (/.f64 1/2 x)) (-.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3)))) (+.f64 x (/.f64 1/2 x))) (fma.f64 x x (.f64 (/.f64 1/2 x) (+.f64 x (/.f64 1/2 x)))))
(/.f64 (.f64 (.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2) (-.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3)))) (/.f64 1 (+.f64 x (/.f64 1/2 x)))) (-.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3))))
(/.f64 (.f64 (/.f64 1 (+.f64 x (/.f64 1/2 x))) (.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2) (-.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3))))) (-.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3))))
(/.f64 (*.f64 (+.f64 x (/.f64 1/2 x)) (-.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3)))) (-.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) (/.f64 (/.f64 1/8 (pow.f64 x 3)) (*.f64 x 2))) (/.f64 1 (+.f64 x (/.f64 1/2 x)))) (pow.f64 (+.f64 x (/.f64 1/2 x)) 2))
(/.f64 (-.f64 (.f64 x (pow.f64 x 3)) (/.f64 1/8 (.f64 (+.f64 x x) (pow.f64 x 3)))) (/.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2) (/.f64 1 (+.f64 x (/.f64 1/2 x)))))
(/.f64 (-.f64 (.f64 x (pow.f64 x 3)) (/.f64 1/8 (.f64 2 (*.f64 x (pow.f64 x 3))))) (pow.f64 (+.f64 x (/.f64 1/2 x)) 3))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 x x) 3) (pow.f64 (/.f64 (/.f64 1/4 x) x) 3)) (/.f64 1 (+.f64 x (/.f64 1/2 x)))) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (/.f64 (/.f64 1/8 (pow.f64 x 3)) (.f64 x 2)) (.f64 (.f64 x x) (/.f64 (/.f64 1/4 x) x)))))
(/.f64 (.f64 (/.f64 1 (+.f64 x (/.f64 1/2 x))) (-.f64 (pow.f64 x 6) (pow.f64 (/.f64 1/4 (.f64 x x)) 3))) (+.f64 (.f64 x (pow.f64 x 3)) (+.f64 (/.f64 1/8 (.f64 (+.f64 x x) (pow.f64 x 3))) (.f64 (.f64 x x) (/.f64 1/4 (*.f64 x x))))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (/.f64 1/4 (.f64 x x)) 3)) (+.f64 x (/.f64 1/2 x))) (+.f64 (.f64 x (pow.f64 x 3)) (+.f64 (/.f64 1/8 (.f64 2 (.f64 x (pow.f64 x 3)))) (.f64 (.f64 x x) (/.f64 1/4 (*.f64 x x))))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 x 3) (pow.f64 x 3)) (.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/8 (pow.f64 x 3)))) (/.f64 1 (fma.f64 x x (.f64 (/.f64 1/2 x) (+.f64 x (/.f64 1/2 x)))))) (+.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3))))
(/.f64 (-.f64 (pow.f64 x 6) (.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/8 (pow.f64 x 3)))) (/.f64 (+.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3))) (/.f64 1 (fma.f64 x x (.f64 (/.f64 1/2 x) (+.f64 x (/.f64 1/2 x)))))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 6) (/.f64 (/.f64 1/64 (pow.f64 x 3)) (pow.f64 x 3))) (fma.f64 x x (*.f64 (/.f64 1/2 x) (+.f64 x (/.f64 1/2 x))))) (+.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3))))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (/.f64 1/8 (pow.f64 x 3)) 3)) (/.f64 1 (fma.f64 x x (.f64 (/.f64 1/2 x) (+.f64 x (/.f64 1/2 x)))))) (+.f64 (.f64 (pow.f64 x 3) (pow.f64 x 3)) (+.f64 (.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/8 (pow.f64 x 3))) (*.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3))))))
(/.f64 (/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 x 3) 3) (/.f64 1/512 (pow.f64 (pow.f64 x 3) 3))) 1) (fma.f64 x x (.f64 (/.f64 1/2 x) (+.f64 x (/.f64 1/2 x))))) (+.f64 (pow.f64 x 6) (*.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3))))))
(/.f64 (/.f64 1 (fma.f64 x x (.f64 (/.f64 1/2 x) (+.f64 x (/.f64 1/2 x))))) (/.f64 (+.f64 (pow.f64 x 6) (.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3))))) (-.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (/.f64 1/8 (pow.f64 x 3)) 3))))
(/.f64 (/.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2) (cbrt.f64 (+.f64 x (/.f64 1/2 x)))) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 1/2 x))) 2))
(+.f64 x (/.f64 1/2 x))
(/.f64 (/.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 1/2 x))) 2)) (cbrt.f64 (+.f64 x (/.f64 1/2 x))))
(+.f64 x (/.f64 1/2 x))
(/.f64 (/.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2) (pow.f64 (+.f64 x (/.f64 1/2 x)) 2)) (/.f64 1 (+.f64 x (/.f64 1/2 x))))
(+.f64 x (/.f64 1/2 x))
(/.f64 (/.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2) (-.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3)))) (/.f64 1 (fma.f64 x x (*.f64 (/.f64 1/2 x) (+.f64 x (/.f64 1/2 x))))))
(.f64 (/.f64 (/.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2) (-.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3)))) 1) (fma.f64 x x (.f64 (/.f64 1/2 x) (+.f64 x (/.f64 1/2 x)))))
(.f64 (fma.f64 x x (.f64 (/.f64 1/2 x) (+.f64 x (/.f64 1/2 x)))) (/.f64 (/.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2) (-.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3)))) 1))
(/.f64 (/.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2) (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 1/2 x)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 1/2 x))))
(/.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2) (*.f64 (+.f64 (sqrt.f64 (/.f64 1/2 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 1/2 x)))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3))) 1) (fma.f64 x x (*.f64 (/.f64 1/2 x) (+.f64 x (/.f64 1/2 x)))))
(/.f64 (-.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3))) (fma.f64 x x (*.f64 (/.f64 1/2 x) (+.f64 x (/.f64 1/2 x)))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3))) (sqrt.f64 (fma.f64 x x (.f64 (/.f64 1/2 x) (+.f64 x (/.f64 1/2 x)))))) (sqrt.f64 (fma.f64 x x (.f64 (/.f64 1/2 x) (+.f64 x (/.f64 1/2 x))))))
(/.f64 (-.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3))) (.f64 (sqrt.f64 (fma.f64 x x (.f64 (/.f64 1/2 x) (+.f64 x (/.f64 1/2 x))))) (sqrt.f64 (fma.f64 x x (*.f64 (/.f64 1/2 x) (+.f64 x (/.f64 1/2 x)))))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3))) (.f64 (cbrt.f64 (fma.f64 x x (.f64 (/.f64 1/2 x) (+.f64 x (/.f64 1/2 x))))) (cbrt.f64 (fma.f64 x x (.f64 (/.f64 1/2 x) (+.f64 x (/.f64 1/2 x))))))) (cbrt.f64 (fma.f64 x x (.f64 (/.f64 1/2 x) (+.f64 x (/.f64 1/2 x))))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3))) (cbrt.f64 (fma.f64 x x (.f64 (/.f64 1/2 x) (+.f64 x (/.f64 1/2 x)))))) (.f64 (cbrt.f64 (fma.f64 x x (.f64 (/.f64 1/2 x) (+.f64 x (/.f64 1/2 x))))) (cbrt.f64 (fma.f64 x x (.f64 (/.f64 1/2 x) (+.f64 x (/.f64 1/2 x)))))))
(/.f64 (/.f64 (neg.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2)) 1) (+.f64 x (/.f64 1/2 x)))
(-.f64 (neg.f64 x) (/.f64 1/2 x))
(+.f64 (neg.f64 x) (/.f64 -1/2 x))
(/.f64 (/.f64 (neg.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2)) (sqrt.f64 (+.f64 x (/.f64 1/2 x)))) (sqrt.f64 (+.f64 x (/.f64 1/2 x))))
(-.f64 (neg.f64 x) (/.f64 1/2 x))
(+.f64 (neg.f64 x) (/.f64 -1/2 x))
(/.f64 (/.f64 (neg.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2)) (cbrt.f64 (+.f64 x (/.f64 1/2 x)))) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 1/2 x))) 2))
(-.f64 (neg.f64 x) (/.f64 1/2 x))
(+.f64 (neg.f64 x) (/.f64 -1/2 x))
(/.f64 (/.f64 (neg.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2)) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 1/2 x))) 2)) (cbrt.f64 (+.f64 x (/.f64 1/2 x))))
(-.f64 (neg.f64 x) (/.f64 1/2 x))
(+.f64 (neg.f64 x) (/.f64 -1/2 x))
(/.f64 (/.f64 (neg.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2)) (pow.f64 (+.f64 x (/.f64 1/2 x)) 2)) (/.f64 1 (+.f64 x (/.f64 1/2 x))))
(-.f64 (neg.f64 x) (/.f64 1/2 x))
(+.f64 (neg.f64 x) (/.f64 -1/2 x))
(/.f64 (/.f64 (neg.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2)) (-.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3)))) (/.f64 1 (fma.f64 x x (*.f64 (/.f64 1/2 x) (+.f64 x (/.f64 1/2 x))))))
(.f64 (/.f64 (/.f64 (neg.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2)) (-.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3)))) 1) (fma.f64 x x (.f64 (/.f64 1/2 x) (+.f64 x (/.f64 1/2 x)))))
(.f64 (fma.f64 x x (.f64 (/.f64 1/2 x) (+.f64 x (/.f64 1/2 x)))) (/.f64 (/.f64 (neg.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2)) (-.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3)))) 1))
(/.f64 (/.f64 (neg.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2)) (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 1/2 x)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 1/2 x))))
(/.f64 (neg.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2)) (*.f64 (+.f64 (sqrt.f64 (/.f64 1/2 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 1/2 x)))))
(pow.f64 (+.f64 x (/.f64 1/2 x)) 1)
(+.f64 x (/.f64 1/2 x))
(pow.f64 (sqrt.f64 (+.f64 x (/.f64 1/2 x))) 2)
(+.f64 x (/.f64 1/2 x))
(pow.f64 (cbrt.f64 (+.f64 x (/.f64 1/2 x))) 3)
(+.f64 x (/.f64 1/2 x))
(pow.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 3) 1/3)
(+.f64 x (/.f64 1/2 x))
(neg.f64 (+.f64 x (/.f64 1/2 x)))
(-.f64 (neg.f64 x) (/.f64 1/2 x))
(+.f64 (neg.f64 x) (/.f64 -1/2 x))
(sqrt.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2))
(log.f64 (exp.f64 (+.f64 x (/.f64 1/2 x))))
(+.f64 x (/.f64 1/2 x))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (/.f64 1/2 x)))))
(+.f64 x (/.f64 1/2 x))
(cbrt.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 3))
(+.f64 x (/.f64 1/2 x))
(expm1.f64 (log1p.f64 (+.f64 x (/.f64 1/2 x))))
(+.f64 x (/.f64 1/2 x))
(exp.f64 (log.f64 (+.f64 x (/.f64 1/2 x))))
(+.f64 x (/.f64 1/2 x))
(log1p.f64 (expm1.f64 (+.f64 x (/.f64 1/2 x))))
(+.f64 x (/.f64 1/2 x))
(fma.f64 1 x (/.f64 1/2 x))
(+.f64 x (/.f64 1/2 x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 1/2 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 1/2 x))
(fma.f64 -1 x (/.f64 1/2 x))

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	1.52%	(log1p.f64 (+.f64 (hypot.f64 1 x) (-.f64 x 1)))
✓	7.03%	(+.f64 (hypot.f64 1 x) (-.f64 x 1))

Compiler

Compiled 24 to 17 computations (29.2% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite86.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

966×	`associate-*r/`
810×	`*-commutative`
672×	`unswap-sqr`
662×	`associate-*l/`
598×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	42
1	195	42
2	2555	36

Stop Event

1×	node limit

Counts

2 → 111

Calls

Call 1

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

Outputs

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(+.f64 (*.f64 x x) (*.f64 (+.f64 x -1) (+.f64 x (-.f64 -1 (hypot.f64 1 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 (*.f64 x x) (-.f64 1 (pow.f64 (+.f64 x -1) 2))) (+.f64 (neg.f64 (-.f64 (hypot.f64 1 x) x)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (+.f64 x -1) 3)) (neg.f64 (+.f64 1 (+.f64 (*.f64 x x) (*.f64 (+.f64 x -1) (+.f64 x (-.f64 -1 (hypot.f64 1 x)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (hypot.f64 1 x) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x -1) (hypot.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (+.f64 x -1)) (hypot.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 2) (cbrt.f64 (hypot.f64 1 x)) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) (cbrt.f64 (+.f64 x -1)) (hypot.f64 1 x))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (*.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 x (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))))

simplify126.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1246×	`associate-+r+`
1094×	`associate-*r/`
1032×	`+-commutative`
854×	`associate-*l/`
520×	`associate--r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	384	7535
1	1140	6887
2	4541	6887

Stop Event

1×	node limit

Counts

135 → 247

Calls

Call 1

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

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

eval858.0ms (6.8%)

Compiler: Compiled 27608 to 19972 computations (27.7% saved)

prune253.0ms (2%)

Pruning

14 alts after pruning (9 fresh and 5 done)

	Pruned	Kept	Total
New	945	5	950
Fresh	1	4	5
Picked	0	1	1
Done	1	4	5
Total	947	14	961

Error

0.01%

Counts

961 → 14

Alt Table

Click to see full alt table

Status	Error	Program
	48.35%	(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)))
✓	47.9%	(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x))
✓	48.56%	(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
▶	68.95%	(log1p.f64 (/.f64 1 (/.f64 1 (+.f64 (hypot.f64 1 x) (+.f64 x -1)))))
✓	68.94%	(log1p.f64 (+.f64 (hypot.f64 1 x) (-.f64 x 1)))
▶	93.34%	(log1p.f64 (*.f64 (/.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1) (pow.f64 (+.f64 x -1) 2))) (cbrt.f64 (+.f64 1 (-.f64 (hypot.f64 1 x) x)))) (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1))) 2)))
▶	41.51%	(log1p.f64 x)
	72.68%	(log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))
▶	77%	(log.f64 (/.f64 -1/2 x))
▶	99.27%	(log.f64 (-.f64 x (+.f64 x (/.f64 1/2 x))))
✓	69.65%	(log.f64 (+.f64 x (hypot.f64 1 x)))
	72.98%	(log.f64 (+.f64 x (+.f64 (/.f64 1/2 x) x)))
✓	73.9%	(log.f64 (+.f64 x x))
	46.33%	x

Compiler

Compiled 247 to 189 computations (23.5% saved)

localize2.0ms (0%)

Compiler: Compiled 4 to 2 computations (50% saved)

localize5.0ms (0%)

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

localize18.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.02%	(+.f64 x (/.f64 1/2 x))
✓	3.49%	(-.f64 x (+.f64 x (/.f64 1/2 x)))

Compiler

Compiled 26 to 16 computations (38.5% saved)

series0.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite129.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1566×	`associate-*r/`
920×	`associate-*l/`
812×	`*-commutative`
732×	`distribute-lft-in`
702×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	32
1	170	26
2	2509	26

Stop Event

1×	node limit

Counts

2 → 228

Calls

Call 1

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

Outputs

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simplify130.0ms (1%)

Algorithm

1×	egg-herbie

Rules

964×	`fma-def`
698×	`associate-r`
594×	`+-commutative`
554×	`distribute-lft-in`
552×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	571	11634
1	1733	9584

Stop Event

1×	node limit

Counts

252 → 324

Calls

Call 1

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

Outputs
(/.f64 -1/2 x)
(/.f64 -1/2 x)
(/.f64 -1/2 x)
(/.f64 -1/2 x)
(/.f64 -1/2 x)
(/.f64 -1/2 x)
(/.f64 -1/2 x)
(/.f64 -1/2 x)
(/.f64 -1/2 x)
(/.f64 -1/2 x)
(/.f64 -1/2 x)
(/.f64 -1/2 x)
(/.f64 1/2 x)
(+.f64 (*.f64 1/2 (/.f64 1 x)) x)
(+.f64 x (/.f64 1/2 x))
(+.f64 (*.f64 1/2 (/.f64 1 x)) x)
(+.f64 x (/.f64 1/2 x))
(+.f64 (*.f64 1/2 (/.f64 1 x)) x)
(+.f64 x (/.f64 1/2 x))
x
(+.f64 (*.f64 1/2 (/.f64 1 x)) x)
(+.f64 x (/.f64 1/2 x))
(+.f64 (*.f64 1/2 (/.f64 1 x)) x)
(+.f64 x (/.f64 1/2 x))
(+.f64 (*.f64 1/2 (/.f64 1 x)) x)
(+.f64 x (/.f64 1/2 x))
x
(+.f64 (*.f64 1/2 (/.f64 1 x)) x)
(+.f64 x (/.f64 1/2 x))
(+.f64 (*.f64 1/2 (/.f64 1 x)) x)
(+.f64 x (/.f64 1/2 x))
(+.f64 (*.f64 1/2 (/.f64 1 x)) x)
(+.f64 x (/.f64 1/2 x))
(+.f64 x (+.f64 (neg.f64 x) (/.f64 -1/2 x)))
(/.f64 -1/2 x)
(+.f64 x (+.f64 (+.f64 (neg.f64 x) (/.f64 -1/2 x)) (fma.f64 (+.f64 (neg.f64 x) (/.f64 -1/2 x)) 1 (+.f64 x (/.f64 1/2 x)))))
(+.f64 x (+.f64 (-.f64 (/.f64 -1/2 x) x) (fma.f64 (-.f64 (/.f64 -1/2 x) x) 1 (+.f64 x (/.f64 1/2 x)))))
(+.f64 (/.f64 -1/2 x) (*.f64 0 (/.f64 1/2 x)))
(+.f64 x (+.f64 (+.f64 (neg.f64 x) (/.f64 -1/2 x)) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 x (/.f64 1/2 x)))) (sqrt.f64 (+.f64 x (/.f64 1/2 x))) (+.f64 x (/.f64 1/2 x)))))
(+.f64 x (+.f64 (-.f64 (/.f64 -1/2 x) x) (fma.f64 (-.f64 (/.f64 -1/2 x) x) 1 (+.f64 x (/.f64 1/2 x)))))
(+.f64 (/.f64 -1/2 x) (*.f64 0 (/.f64 1/2 x)))
(+.f64 x (+.f64 (+.f64 (neg.f64 x) (/.f64 -1/2 x)) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 x (/.f64 1/2 x)))) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 1/2 x))) 2) (+.f64 x (/.f64 1/2 x)))))
(+.f64 x (+.f64 (-.f64 (/.f64 -1/2 x) x) (fma.f64 (-.f64 (/.f64 -1/2 x) x) 1 (+.f64 x (/.f64 1/2 x)))))
(+.f64 (/.f64 -1/2 x) (*.f64 0 (/.f64 1/2 x)))
(+.f64 x (-.f64 (neg.f64 (/.f64 1/2 x)) x))
(/.f64 -1/2 x)
(+.f64 x (-.f64 (/.f64 -1/2 x) x))
(/.f64 -1/2 x)
(+.f64 x (-.f64 (*.f64 (sqrt.f64 (/.f64 1/2 x)) (neg.f64 (sqrt.f64 (/.f64 1/2 x)))) x))
(/.f64 -1/2 x)
(+.f64 x (-.f64 (*.f64 (cbrt.f64 (/.f64 1/2 x)) (neg.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2))) x))
(/.f64 -1/2 x)
(+.f64 (+.f64 0 (/.f64 -1/2 x)) (fma.f64 (+.f64 (neg.f64 x) (/.f64 -1/2 x)) 1 (+.f64 x (/.f64 1/2 x))))
(+.f64 x (+.f64 (-.f64 (/.f64 -1/2 x) x) (fma.f64 (-.f64 (/.f64 -1/2 x) x) 1 (+.f64 x (/.f64 1/2 x)))))
(+.f64 (/.f64 -1/2 x) (*.f64 0 (/.f64 1/2 x)))
(+.f64 (+.f64 0 (/.f64 -1/2 x)) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 x (/.f64 1/2 x)))) (sqrt.f64 (+.f64 x (/.f64 1/2 x))) (+.f64 x (/.f64 1/2 x))))
(+.f64 x (+.f64 (-.f64 (/.f64 -1/2 x) x) (fma.f64 (-.f64 (/.f64 -1/2 x) x) 1 (+.f64 x (/.f64 1/2 x)))))
(+.f64 (/.f64 -1/2 x) (*.f64 0 (/.f64 1/2 x)))
(+.f64 (+.f64 0 (/.f64 -1/2 x)) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 x (/.f64 1/2 x)))) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 1/2 x))) 2) (+.f64 x (/.f64 1/2 x))))
(+.f64 x (+.f64 (-.f64 (/.f64 -1/2 x) x) (fma.f64 (-.f64 (/.f64 -1/2 x) x) 1 (+.f64 x (/.f64 1/2 x)))))
(+.f64 (/.f64 -1/2 x) (*.f64 0 (/.f64 1/2 x)))
(+.f64 (+.f64 0 (/.f64 -1/2 x)) (+.f64 (fma.f64 (+.f64 (neg.f64 x) (/.f64 -1/2 x)) 1 (+.f64 x (/.f64 1/2 x))) (fma.f64 (+.f64 (neg.f64 x) (/.f64 -1/2 x)) 1 (+.f64 x (/.f64 1/2 x)))))
(+.f64 (/.f64 -1/2 x) (*.f64 2 (fma.f64 (-.f64 (/.f64 -1/2 x) x) 1 (+.f64 x (/.f64 1/2 x)))))
(fma.f64 2 (*.f64 0 (/.f64 1/2 x)) (/.f64 -1/2 x))
(+.f64 (+.f64 0 (/.f64 -1/2 x)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (+.f64 x (/.f64 1/2 x)))) (sqrt.f64 (+.f64 x (/.f64 1/2 x))) (+.f64 x (/.f64 1/2 x))) (fma.f64 (+.f64 (neg.f64 x) (/.f64 -1/2 x)) 1 (+.f64 x (/.f64 1/2 x)))))
(+.f64 (/.f64 -1/2 x) (*.f64 2 (fma.f64 (-.f64 (/.f64 -1/2 x) x) 1 (+.f64 x (/.f64 1/2 x)))))
(fma.f64 2 (*.f64 0 (/.f64 1/2 x)) (/.f64 -1/2 x))
(+.f64 (+.f64 0 (/.f64 -1/2 x)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (+.f64 x (/.f64 1/2 x)))) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 1/2 x))) 2) (+.f64 x (/.f64 1/2 x))) (fma.f64 (+.f64 (neg.f64 x) (/.f64 -1/2 x)) 1 (+.f64 x (/.f64 1/2 x)))))
(+.f64 (/.f64 -1/2 x) (*.f64 2 (fma.f64 (-.f64 (/.f64 -1/2 x) x) 1 (+.f64 x (/.f64 1/2 x)))))
(fma.f64 2 (*.f64 0 (/.f64 1/2 x)) (/.f64 -1/2 x))
(+.f64 (+.f64 0 (/.f64 -1/2 x)) (+.f64 (fma.f64 (+.f64 (neg.f64 x) (/.f64 -1/2 x)) 1 (+.f64 x (/.f64 1/2 x))) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 x (/.f64 1/2 x)))) (sqrt.f64 (+.f64 x (/.f64 1/2 x))) (+.f64 x (/.f64 1/2 x)))))
(+.f64 (/.f64 -1/2 x) (*.f64 2 (fma.f64 (-.f64 (/.f64 -1/2 x) x) 1 (+.f64 x (/.f64 1/2 x)))))
(fma.f64 2 (*.f64 0 (/.f64 1/2 x)) (/.f64 -1/2 x))
(+.f64 (+.f64 0 (/.f64 -1/2 x)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (+.f64 x (/.f64 1/2 x)))) (sqrt.f64 (+.f64 x (/.f64 1/2 x))) (+.f64 x (/.f64 1/2 x))) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 x (/.f64 1/2 x)))) (sqrt.f64 (+.f64 x (/.f64 1/2 x))) (+.f64 x (/.f64 1/2 x)))))
(+.f64 (/.f64 -1/2 x) (*.f64 2 (fma.f64 (-.f64 (/.f64 -1/2 x) x) 1 (+.f64 x (/.f64 1/2 x)))))
(fma.f64 2 (*.f64 0 (/.f64 1/2 x)) (/.f64 -1/2 x))
(+.f64 (+.f64 0 (/.f64 -1/2 x)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (+.f64 x (/.f64 1/2 x)))) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 1/2 x))) 2) (+.f64 x (/.f64 1/2 x))) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 x (/.f64 1/2 x)))) (sqrt.f64 (+.f64 x (/.f64 1/2 x))) (+.f64 x (/.f64 1/2 x)))))
(+.f64 (/.f64 -1/2 x) (*.f64 2 (fma.f64 (-.f64 (/.f64 -1/2 x) x) 1 (+.f64 x (/.f64 1/2 x)))))
(fma.f64 2 (*.f64 0 (/.f64 1/2 x)) (/.f64 -1/2 x))
(+.f64 (+.f64 0 (/.f64 -1/2 x)) (+.f64 (fma.f64 (+.f64 (neg.f64 x) (/.f64 -1/2 x)) 1 (+.f64 x (/.f64 1/2 x))) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 x (/.f64 1/2 x)))) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 1/2 x))) 2) (+.f64 x (/.f64 1/2 x)))))
(+.f64 (/.f64 -1/2 x) (*.f64 2 (fma.f64 (-.f64 (/.f64 -1/2 x) x) 1 (+.f64 x (/.f64 1/2 x)))))
(fma.f64 2 (*.f64 0 (/.f64 1/2 x)) (/.f64 -1/2 x))
(+.f64 (+.f64 0 (/.f64 -1/2 x)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (+.f64 x (/.f64 1/2 x)))) (sqrt.f64 (+.f64 x (/.f64 1/2 x))) (+.f64 x (/.f64 1/2 x))) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 x (/.f64 1/2 x)))) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 1/2 x))) 2) (+.f64 x (/.f64 1/2 x)))))
(+.f64 (/.f64 -1/2 x) (*.f64 2 (fma.f64 (-.f64 (/.f64 -1/2 x) x) 1 (+.f64 x (/.f64 1/2 x)))))
(fma.f64 2 (*.f64 0 (/.f64 1/2 x)) (/.f64 -1/2 x))
(+.f64 (+.f64 0 (/.f64 -1/2 x)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (+.f64 x (/.f64 1/2 x)))) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 1/2 x))) 2) (+.f64 x (/.f64 1/2 x))) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 x (/.f64 1/2 x)))) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 1/2 x))) 2) (+.f64 x (/.f64 1/2 x)))))
(+.f64 (/.f64 -1/2 x) (*.f64 2 (fma.f64 (-.f64 (/.f64 -1/2 x) x) 1 (+.f64 x (/.f64 1/2 x)))))
(fma.f64 2 (*.f64 0 (/.f64 1/2 x)) (/.f64 -1/2 x))
(+.f64 (+.f64 0 (/.f64 -1/2 x)) (*.f64 1 (fma.f64 (+.f64 (neg.f64 x) (/.f64 -1/2 x)) 1 (+.f64 x (/.f64 1/2 x)))))
(+.f64 x (+.f64 (-.f64 (/.f64 -1/2 x) x) (fma.f64 (-.f64 (/.f64 -1/2 x) x) 1 (+.f64 x (/.f64 1/2 x)))))
(+.f64 (/.f64 -1/2 x) (*.f64 0 (/.f64 1/2 x)))
(+.f64 (+.f64 0 (/.f64 -1/2 x)) (*.f64 1 (fma.f64 (neg.f64 (sqrt.f64 (+.f64 x (/.f64 1/2 x)))) (sqrt.f64 (+.f64 x (/.f64 1/2 x))) (+.f64 x (/.f64 1/2 x)))))
(+.f64 x (+.f64 (-.f64 (/.f64 -1/2 x) x) (fma.f64 (-.f64 (/.f64 -1/2 x) x) 1 (+.f64 x (/.f64 1/2 x)))))
(+.f64 (/.f64 -1/2 x) (*.f64 0 (/.f64 1/2 x)))
(+.f64 (+.f64 0 (/.f64 -1/2 x)) (*.f64 1 (fma.f64 (neg.f64 (cbrt.f64 (+.f64 x (/.f64 1/2 x)))) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 1/2 x))) 2) (+.f64 x (/.f64 1/2 x)))))
(+.f64 x (+.f64 (-.f64 (/.f64 -1/2 x) x) (fma.f64 (-.f64 (/.f64 -1/2 x) x) 1 (+.f64 x (/.f64 1/2 x)))))
(+.f64 (/.f64 -1/2 x) (*.f64 0 (/.f64 1/2 x)))
(+.f64 (+.f64 0 (/.f64 -1/2 x)) (*.f64 (fma.f64 (+.f64 (neg.f64 x) (/.f64 -1/2 x)) 1 (+.f64 x (/.f64 1/2 x))) 1))
(+.f64 x (+.f64 (-.f64 (/.f64 -1/2 x) x) (fma.f64 (-.f64 (/.f64 -1/2 x) x) 1 (+.f64 x (/.f64 1/2 x)))))
(+.f64 (/.f64 -1/2 x) (*.f64 0 (/.f64 1/2 x)))
(+.f64 (+.f64 0 (/.f64 -1/2 x)) (*.f64 (fma.f64 (neg.f64 (sqrt.f64 (+.f64 x (/.f64 1/2 x)))) (sqrt.f64 (+.f64 x (/.f64 1/2 x))) (+.f64 x (/.f64 1/2 x))) 1))
(+.f64 x (+.f64 (-.f64 (/.f64 -1/2 x) x) (fma.f64 (-.f64 (/.f64 -1/2 x) x) 1 (+.f64 x (/.f64 1/2 x)))))
(+.f64 (/.f64 -1/2 x) (*.f64 0 (/.f64 1/2 x)))
(+.f64 (+.f64 0 (/.f64 -1/2 x)) (*.f64 (fma.f64 (neg.f64 (cbrt.f64 (+.f64 x (/.f64 1/2 x)))) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 1/2 x))) 2) (+.f64 x (/.f64 1/2 x))) 1))
(+.f64 x (+.f64 (-.f64 (/.f64 -1/2 x) x) (fma.f64 (-.f64 (/.f64 -1/2 x) x) 1 (+.f64 x (/.f64 1/2 x)))))
(+.f64 (/.f64 -1/2 x) (*.f64 0 (/.f64 1/2 x)))
(+.f64 0 (neg.f64 (/.f64 1/2 x)))
(/.f64 -1/2 x)
(+.f64 0 (/.f64 -1/2 x))
(/.f64 -1/2 x)
(+.f64 0 (*.f64 (sqrt.f64 (/.f64 1/2 x)) (neg.f64 (sqrt.f64 (/.f64 1/2 x)))))
(/.f64 -1/2 x)
(+.f64 0 (*.f64 (cbrt.f64 (/.f64 1/2 x)) (neg.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2))))
(/.f64 -1/2 x)
(+.f64 0 (+.f64 (neg.f64 (/.f64 1/2 x)) (fma.f64 (+.f64 (neg.f64 x) (/.f64 -1/2 x)) 1 (+.f64 x (/.f64 1/2 x)))))
(+.f64 x (+.f64 (-.f64 (/.f64 -1/2 x) x) (fma.f64 (-.f64 (/.f64 -1/2 x) x) 1 (+.f64 x (/.f64 1/2 x)))))
(+.f64 (/.f64 -1/2 x) (*.f64 0 (/.f64 1/2 x)))
(+.f64 0 (+.f64 (/.f64 -1/2 x) (fma.f64 (+.f64 (neg.f64 x) (/.f64 -1/2 x)) 1 (+.f64 x (/.f64 1/2 x)))))
(+.f64 x (+.f64 (-.f64 (/.f64 -1/2 x) x) (fma.f64 (-.f64 (/.f64 -1/2 x) x) 1 (+.f64 x (/.f64 1/2 x)))))
(+.f64 (/.f64 -1/2 x) (*.f64 0 (/.f64 1/2 x)))
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(/.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) (/.f64 1/512 (pow.f64 (pow.f64 x 3) 3))) (fma.f64 x x (*.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) x)))) (fma.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 1/8 (pow.f64 x 3)) (pow.f64 x 3)) (pow.f64 x 6)))
(/.f64 (/.f64 (-.f64 (.f64 x x) (/.f64 1/4 (.f64 x x))) 1) (+.f64 x (/.f64 -1/2 x)))
(/.f64 (-.f64 (.f64 x x) (/.f64 1/4 (.f64 x x))) (+.f64 x (/.f64 -1/2 x)))
(/.f64 (fma.f64 x x (/.f64 -1/4 (*.f64 x x))) (+.f64 x (/.f64 -1/2 x)))
(/.f64 (/.f64 (-.f64 (.f64 x x) (/.f64 1/4 (.f64 x x))) (sqrt.f64 (+.f64 x (/.f64 -1/2 x)))) (sqrt.f64 (+.f64 x (/.f64 -1/2 x))))
(/.f64 (-.f64 (.f64 x x) (/.f64 1/4 (.f64 x x))) (+.f64 x (/.f64 -1/2 x)))
(/.f64 (fma.f64 x x (/.f64 -1/4 (*.f64 x x))) (+.f64 x (/.f64 -1/2 x)))
(/.f64 (/.f64 (-.f64 (.f64 x x) (/.f64 1/4 (.f64 x x))) (*.f64 (cbrt.f64 (+.f64 x (/.f64 -1/2 x))) (cbrt.f64 (+.f64 x (/.f64 -1/2 x))))) (cbrt.f64 (+.f64 x (/.f64 -1/2 x))))
(/.f64 (-.f64 (.f64 x x) (/.f64 1/4 (.f64 x x))) (+.f64 x (/.f64 -1/2 x)))
(/.f64 (fma.f64 x x (/.f64 -1/4 (*.f64 x x))) (+.f64 x (/.f64 -1/2 x)))
(/.f64 (/.f64 (-.f64 (.f64 x x) (/.f64 1/4 (.f64 x x))) (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 1/2 x)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 1/2 x))))
(/.f64 (-.f64 (.f64 x x) (/.f64 1/4 (.f64 x x))) (*.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 1/2 x))) (+.f64 (sqrt.f64 (/.f64 1/2 x)) (sqrt.f64 x))))
(/.f64 (fma.f64 x x (/.f64 -1/4 (.f64 x x))) (.f64 (+.f64 (sqrt.f64 (/.f64 1/2 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 1/2 x)))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3))) 1) (fma.f64 x x (*.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) x))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3))) 1) (fma.f64 x x (.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) x))))
(/.f64 (+.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3))) (fma.f64 x x (*.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) x))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3))) (sqrt.f64 (fma.f64 x x (.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) x))))) (sqrt.f64 (fma.f64 x x (.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) x)))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3))) 1) (fma.f64 x x (.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) x))))
(/.f64 (+.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3))) (fma.f64 x x (*.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) x))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3))) (.f64 (cbrt.f64 (fma.f64 x x (.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) x)))) (cbrt.f64 (fma.f64 x x (.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) x)))))) (cbrt.f64 (fma.f64 x x (.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) x)))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3))) 1) (fma.f64 x x (.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) x))))
(/.f64 (+.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3))) (fma.f64 x x (*.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) x))))
(pow.f64 (+.f64 x (/.f64 1/2 x)) 1)
(+.f64 x (/.f64 1/2 x))
(pow.f64 (sqrt.f64 (+.f64 x (/.f64 1/2 x))) 2)
(+.f64 x (/.f64 1/2 x))
(pow.f64 (cbrt.f64 (+.f64 x (/.f64 1/2 x))) 3)
(+.f64 x (/.f64 1/2 x))
(pow.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 3) 1/3)
(+.f64 x (/.f64 1/2 x))
(sqrt.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2))
(fabs.f64 (+.f64 x (/.f64 1/2 x)))
(log.f64 (exp.f64 (+.f64 x (/.f64 1/2 x))))
(+.f64 x (/.f64 1/2 x))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (/.f64 1/2 x)))))
(+.f64 x (/.f64 1/2 x))
(cbrt.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 3))
(+.f64 x (/.f64 1/2 x))
(expm1.f64 (log1p.f64 (+.f64 x (/.f64 1/2 x))))
(+.f64 x (/.f64 1/2 x))
(exp.f64 (log.f64 (+.f64 x (/.f64 1/2 x))))
(+.f64 x (/.f64 1/2 x))
(log1p.f64 (expm1.f64 (+.f64 x (/.f64 1/2 x))))
(+.f64 x (/.f64 1/2 x))
(fma.f64 1/2 (/.f64 1 x) x)
(+.f64 x (/.f64 1/2 x))
(fma.f64 1 x (/.f64 1/2 x))
(+.f64 x (/.f64 1/2 x))
(fma.f64 1 (/.f64 1/2 x) x)
(+.f64 x (/.f64 1/2 x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 1/2 x))
(+.f64 x (/.f64 1/2 x))
(fma.f64 (sqrt.f64 (/.f64 1/2 x)) (sqrt.f64 (/.f64 1/2 x)) x)
(+.f64 x (/.f64 1/2 x))
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (/.f64 1/2 x))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2) (cbrt.f64 (/.f64 1/2 x)) x)
(+.f64 x (/.f64 1/2 x))

localize36.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.03%	(/.f64 1 (+.f64 (hypot.f64 1 x) (+.f64 x -1)))
✓	0.13%	(/.f64 1 (/.f64 1 (+.f64 (hypot.f64 1 x) (+.f64 x -1))))
✓	1.52%	(log1p.f64 (/.f64 1 (/.f64 1 (+.f64 (hypot.f64 1 x) (+.f64 x -1)))))
✓	7.03%	(+.f64 (hypot.f64 1 x) (+.f64 x -1))

Compiler

Compiled 49 to 38 computations (22.4% saved)

series1.0ms (0%)

Counts

4 → 48

Calls

12 calls:

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

rewrite131.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1462×	`associate-*l/`
1010×	`*-commutative`
864×	`distribute-lft-in`
842×	`distribute-rgt-in`
560×	`associate-/r*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	86
1	266	86
2	3140	86

Stop Event

1×	node limit

Counts

4 → 291

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 x) (-.f64 1 (+.f64 (hypot.f64 1 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (hypot.f64 1 x) (+.f64 0 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (hypot.f64 1 x))) (-.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (+.f64 0 x))) (-.f64 1 (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x (/.f64 (+.f64 1 x) x)) (-.f64 (/.f64 1 (+.f64 1 x)) (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 1 (.f64 x x)) (-.f64 (hypot.f64 1 x) (+.f64 x -1))) (/.f64 (pow.f64 (+.f64 x -1) 2) (-.f64 (hypot.f64 1 x) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (hypot.f64 1 x) (exp.f64 (log.f64 (+.f64 0 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (hypot.f64 1 x) (/.f64 x (/.f64 (+.f64 1 x) x))) (/.f64 1 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 x -1) (exp.f64 (log1p.f64 (hypot.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (hypot.f64 1 x) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (neg.f64 (-.f64 1 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (-.f64 1 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1))) (sqrt.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1))) (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1))) 2) (cbrt.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 x x) (-.f64 1 (pow.f64 (+.f64 x -1) 2))) (/.f64 1 (-.f64 (hypot.f64 1 x) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (+.f64 x -1) 3)) (/.f64 1 (+.f64 1 (+.f64 (.f64 x x) (.f64 (+.f64 x -1) (-.f64 (+.f64 x -1) (hypot.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 1 (+.f64 x (hypot.f64 1 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (-.f64 (hypot.f64 1 x) (+.f64 x -1))) (+.f64 (.f64 x x) (-.f64 1 (pow.f64 (+.f64 x -1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 1 (+.f64 (.f64 x x) (.f64 (+.f64 x -1) (-.f64 (+.f64 x -1) (hypot.f64 1 x)))))) (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (+.f64 x -1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1)) -1/2) -1) (pow.f64 (pow.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1)) -1/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1)) -2)) -1) (pow.f64 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(/.f64 (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1))) 2) -1) (cbrt.f64 (-.f64 1 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (.f64 x x) (-.f64 1 (pow.f64 (+.f64 x -1) 2))) (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (+.f64 x -1) 3))) (+.f64 (+.f64 1 (.f64 x x)) (.f64 (+.f64 x -1) (+.f64 (hypot.f64 1 x) (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (+.f64 x -1) 3)) (-.f64 (.f64 (+.f64 1 (.f64 x x)) (+.f64 1 (.f64 x x))) (.f64 (.f64 (+.f64 x -1) (-.f64 (+.f64 x -1) (hypot.f64 1 x))) (.f64 (+.f64 x -1) (-.f64 (+.f64 x -1) (hypot.f64 1 x)))))) (+.f64 1 (-.f64 (.f64 x x) (.f64 (+.f64 x -1) (-.f64 (+.f64 x -1) (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (+.f64 x -1) 3)) (+.f64 (pow.f64 (+.f64 1 (.f64 x x)) 3) (pow.f64 (.f64 (+.f64 x -1) (-.f64 (+.f64 x -1) (hypot.f64 1 x))) 3))) (-.f64 (+.f64 (.f64 (+.f64 1 (.f64 x x)) (+.f64 1 (.f64 x x))) (.f64 (.f64 (+.f64 x -1) (-.f64 (+.f64 x -1) (hypot.f64 1 x))) (.f64 (+.f64 x -1) (-.f64 (+.f64 x -1) (hypot.f64 1 x))))) (.f64 (+.f64 1 (.f64 x x)) (.f64 (+.f64 x -1) (-.f64 (+.f64 x -1) (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (+.f64 (hypot.f64 1 x) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (neg.f64 (/.f64 1 (-.f64 1 (+.f64 x (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 1 (-.f64 1 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1)) (/.f64 (-.f64 (hypot.f64 1 x) (+.f64 x -1)) (-.f64 (hypot.f64 1 x) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1))) (pow.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1)) -1/2))))) (#(struct:change #<rule 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(hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1)) -1/2) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (-.f64 1 (+.f64 x (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1)) -1/2) (sqrt.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (+.f64 x -1) 3)))) (sqrt.f64 (+.f64 1 (+.f64 (.f64 x x) (.f64 (+.f64 x -1) (-.f64 (+.f64 x -1) (hypot.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1)) -1/2) (sqrt.f64 (+.f64 (.f64 x x) (-.f64 1 (pow.f64 (+.f64 x -1) 2))))) (sqrt.f64 (-.f64 (hypot.f64 1 x) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1)) -2)) -1) (cbrt.f64 (/.f64 1 (-.f64 1 (+.f64 x (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1)) -2)) (cbrt.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (+.f64 x -1) 3)))) (cbrt.f64 (+.f64 1 (+.f64 (.f64 x x) (.f64 (+.f64 x -1) (-.f64 (+.f64 x -1) (hypot.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1)) -2)) (cbrt.f64 (+.f64 (*.f64 x x) (-.f64 1 (pow.f64 (+.f64 x -1) 2))))) (cbrt.f64 (-.f64 (hypot.f64 1 x) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 (hypot.f64 1 x) (+.f64 x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1)) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (pow.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 (hypot.f64 1 x) (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 (hypot.f64 1 x) (+.f64 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 (hypot.f64 1 x) (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 (hypot.f64 1 x) (+.f64 x -1)))))))))

simplify253.0ms (2%)

Algorithm

1×	egg-herbie

Rules

702×	`associate-+r-`
630×	`distribute-lft-in`
582×	`associate-r`
582×	`fma-def`
564×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	674	18023
1	1928	15323
2	7820	15323

Stop Event

1×	node limit

Counts

339 → 439

Calls

Call 1

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

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

localize83.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.53%	(-.f64 (hypot.f64 1 x) x)
✓	1.6%	(log1p.f64 (*.f64 (/.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1) (pow.f64 (+.f64 x -1) 2))) (cbrt.f64 (+.f64 1 (-.f64 (hypot.f64 1 x) x)))) (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1))) 2)))
	7.03%	(+.f64 (hypot.f64 1 x) (+.f64 x -1))
✓	30.77%	(-.f64 (fma.f64 x x 1) (pow.f64 (+.f64 x -1) 2))

Compiler

Compiled 169 to 126 computations (25.4% saved)

series10.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
5.0ms	x	@	-inf	(log1p.f64 (*.f64 (/.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1) (pow.f64 (+.f64 x -1) 2))) (cbrt.f64 (+.f64 1 (-.f64 (hypot.f64 1 x) x)))) (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1))) 2)))
1.0ms	x	@	inf	(log1p.f64 (*.f64 (/.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1) (pow.f64 (+.f64 x -1) 2))) (cbrt.f64 (+.f64 1 (-.f64 (hypot.f64 1 x) x)))) (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1))) 2)))
1.0ms	x	@	-inf	(-.f64 (fma.f64 x x 1) (pow.f64 (+.f64 x -1) 2))
1.0ms	x	@	0	(log1p.f64 (*.f64 (/.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1) (pow.f64 (+.f64 x -1) 2))) (cbrt.f64 (+.f64 1 (-.f64 (hypot.f64 1 x) x)))) (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1))) 2)))
1.0ms	x	@	0	(-.f64 (fma.f64 x x 1) (pow.f64 (+.f64 x -1) 2))

rewrite114.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

638×	`associate-+l+`
512×	`add-sqr-sqrt`
500×	`*-un-lft-identity`
498×	`+-commutative`
490×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	133
1	505	129
2	6831	129

Stop Event

1×	node limit

Counts

3 → 154

Calls

Call 1

Inputs

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

(log1p.f64 (*.f64 (/.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1) (pow.f64 (+.f64 x -1) 2))) (cbrt.f64 (+.f64 1 (-.f64 (hypot.f64 1 x) x)))) (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1))) 2)))

(-.f64 (hypot.f64 1 x) x)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (*.f64 x x) (neg.f64 (pow.f64 (+.f64 x -1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (*.f64 x x) (*.f64 (neg.f64 (pow.f64 (+.f64 x -1) 2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x x 1) (neg.f64 (pow.f64 (+.f64 x -1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x x 1) (*.f64 (neg.f64 (pow.f64 (+.f64 x -1) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x x 1) (+.f64 (neg.f64 (pow.f64 (+.f64 x -1) 2)) (fma.f64 (neg.f64 (pow.f64 (+.f64 x -1) 2)) 1 (pow.f64 (+.f64 x -1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x x 1) (+.f64 (*.f64 (neg.f64 (pow.f64 (+.f64 x -1) 2)) 1) (fma.f64 (neg.f64 (pow.f64 (+.f64 x -1) 2)) 1 (pow.f64 (+.f64 x -1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x x 1) (+.f64 (neg.f64 (pow.f64 (+.f64 x -1) 2)) (fma.f64 (neg.f64 (+.f64 x -1)) (+.f64 x -1) (pow.f64 (+.f64 x -1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x x 1) (+.f64 (*.f64 (neg.f64 (pow.f64 (+.f64 x -1) 2)) 1) (fma.f64 (neg.f64 (+.f64 x -1)) (+.f64 x -1) (pow.f64 (+.f64 x -1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x x 1) (+.f64 (neg.f64 (pow.f64 (+.f64 x -1) 2)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) (cbrt.f64 (pow.f64 (+.f64 x -1) 4)) (pow.f64 (+.f64 x -1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x x 1) (+.f64 (*.f64 (neg.f64 (pow.f64 (+.f64 x -1) 2)) 1) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) (cbrt.f64 (pow.f64 (+.f64 x -1) 4)) (pow.f64 (+.f64 x -1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 x x 1) (pow.f64 (+.f64 x -1) 2)) (fma.f64 (neg.f64 (pow.f64 (+.f64 x -1) 2)) 1 (pow.f64 (+.f64 x -1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 x x 1) (pow.f64 (+.f64 x -1) 2)) (fma.f64 (neg.f64 (+.f64 x -1)) (+.f64 x -1) (pow.f64 (+.f64 x -1) 2)))))) 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simplify120.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1504×	`associate-+l-`
1210×	`associate-+r-`
802×	`fma-def`
798×	`associate--r+`
518×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	508	10084
1	1378	9324
2	5645	9320

Stop Event

1×	node limit

Counts

190 → 271

Calls

Call 1

Inputs
(*.f64 2 x)
(*.f64 2 x)
(*.f64 2 x)
(*.f64 2 x)
(*.f64 2 x)
(*.f64 2 x)
(*.f64 2 x)
(*.f64 2 x)
(*.f64 2 x)
(*.f64 2 x)
(*.f64 2 x)
(*.f64 2 x)
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (.f64 1/2 (/.f64 (-.f64 1 (.f64 4 (/.f64 1 (cbrt.f64 4)))) x)) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)))
(+.f64 (.f64 1/2 (/.f64 (-.f64 1 (.f64 4 (/.f64 1 (cbrt.f64 4)))) x)) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (.f64 1/2 (/.f64 (+.f64 (.f64 -1/4 (pow.f64 (-.f64 1 (.f64 4 (/.f64 1 (cbrt.f64 4)))) 2)) (.f64 1/12 (-.f64 12 (.f64 96 (/.f64 1 (pow.f64 (cbrt.f64 4) 2)))))) (pow.f64 x 2))))))
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1
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(exp.f64 (log.f64 (-.f64 (fma.f64 x x 1) (pow.f64 (+.f64 x -1) 2))))
(exp.f64 (*.f64 (log.f64 (-.f64 (fma.f64 x x 1) (pow.f64 (+.f64 x -1) 2))) 1))
(log1p.f64 (expm1.f64 (-.f64 (fma.f64 x x 1) (pow.f64 (+.f64 x -1) 2))))
(fma.f64 1 (fma.f64 x x 1) (neg.f64 (pow.f64 (+.f64 x -1) 2)))
(fma.f64 (hypot.f64 1 x) (hypot.f64 1 x) (neg.f64 (pow.f64 (+.f64 x -1) 2)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2) (cbrt.f64 (fma.f64 x x 1)) (neg.f64 (pow.f64 (+.f64 x -1) 2)))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 (fma.f64 x x 1) (pow.f64 (+.f64 x -1) 2)) (-.f64 (hypot.f64 1 x) (-.f64 x 1))) (pow.f64 (+.f64 (+.f64 x -1) (hypot.f64 1 x)) 2)))))) 1)
(.f64 1 (log1p.f64 (cbrt.f64 (.f64 (/.f64 (-.f64 (fma.f64 x x 1) (pow.f64 (+.f64 x -1) 2)) (-.f64 (hypot.f64 1 x) (-.f64 x 1))) (pow.f64 (+.f64 (+.f64 x -1) (hypot.f64 1 x)) 2)))))
(.f64 (log1p.f64 (cbrt.f64 (.f64 (/.f64 (-.f64 (fma.f64 x x 1) (pow.f64 (+.f64 x -1) 2)) (-.f64 (hypot.f64 1 x) (-.f64 x 1))) (pow.f64 (+.f64 (+.f64 x -1) (hypot.f64 1 x)) 2)))) 1)
(.f64 (sqrt.f64 (log1p.f64 (cbrt.f64 (.f64 (/.f64 (-.f64 (fma.f64 x x 1) (pow.f64 (+.f64 x -1) 2)) (-.f64 (hypot.f64 1 x) (-.f64 x 1))) (pow.f64 (+.f64 (+.f64 x -1) (hypot.f64 1 x)) 2))))) (sqrt.f64 (log1p.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 (fma.f64 x x 1) (pow.f64 (+.f64 x -1) 2)) (-.f64 (hypot.f64 1 x) (-.f64 x 1))) (pow.f64 (+.f64 (+.f64 x -1) (hypot.f64 1 x)) 2))))))
(.f64 (cbrt.f64 (log1p.f64 (cbrt.f64 (.f64 (/.f64 (-.f64 (fma.f64 x x 1) (pow.f64 (+.f64 x -1) 2)) (-.f64 (hypot.f64 1 x) (-.f64 x 1))) (pow.f64 (+.f64 (+.f64 x -1) (hypot.f64 1 x)) 2))))) (pow.f64 (cbrt.f64 (log1p.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 (fma.f64 x x 1) (pow.f64 (+.f64 x -1) 2)) (-.f64 (hypot.f64 1 x) (-.f64 x 1))) (pow.f64 (+.f64 (+.f64 x -1) (hypot.f64 1 x)) 2))))) 2))
(.f64 (pow.f64 (cbrt.f64 (log1p.f64 (cbrt.f64 (.f64 (/.f64 (-.f64 (fma.f64 x x 1) (pow.f64 (+.f64 x -1) 2)) (-.f64 (hypot.f64 1 x) (-.f64 x 1))) (pow.f64 (+.f64 (+.f64 x -1) (hypot.f64 1 x)) 2))))) 2) (cbrt.f64 (log1p.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 (fma.f64 x x 1) (pow.f64 (+.f64 x -1) 2)) (-.f64 (hypot.f64 1 x) (-.f64 x 1))) (pow.f64 (+.f64 (+.f64 x -1) (hypot.f64 1 x)) 2))))))
(pow.f64 (log1p.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 (fma.f64 x x 1) (pow.f64 (+.f64 x -1) 2)) (-.f64 (hypot.f64 1 x) (-.f64 x 1))) (pow.f64 (+.f64 (+.f64 x -1) (hypot.f64 1 x)) 2)))) 1)
(pow.f64 (sqrt.f64 (log1p.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 (fma.f64 x x 1) (pow.f64 (+.f64 x -1) 2)) (-.f64 (hypot.f64 1 x) (-.f64 x 1))) (pow.f64 (+.f64 (+.f64 x -1) (hypot.f64 1 x)) 2))))) 2)
(pow.f64 (cbrt.f64 (log1p.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 (fma.f64 x x 1) (pow.f64 (+.f64 x -1) 2)) (-.f64 (hypot.f64 1 x) (-.f64 x 1))) (pow.f64 (+.f64 (+.f64 x -1) (hypot.f64 1 x)) 2))))) 3)
(pow.f64 (pow.f64 (log1p.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 (fma.f64 x x 1) (pow.f64 (+.f64 x -1) 2)) (-.f64 (hypot.f64 1 x) (-.f64 x 1))) (pow.f64 (+.f64 (+.f64 x -1) (hypot.f64 1 x)) 2)))) 3) 1/3)
(sqrt.f64 (pow.f64 (log1p.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 (fma.f64 x x 1) (pow.f64 (+.f64 x -1) 2)) (-.f64 (hypot.f64 1 x) (-.f64 x 1))) (pow.f64 (+.f64 (+.f64 x -1) (hypot.f64 1 x)) 2)))) 2))
(log.f64 (+.f64 1 (cbrt.f64 (*.f64 (/.f64 (-.f64 (fma.f64 x x 1) (pow.f64 (+.f64 x -1) 2)) (-.f64 (hypot.f64 1 x) (-.f64 x 1))) (pow.f64 (+.f64 (+.f64 x -1) (hypot.f64 1 x)) 2)))))
(cbrt.f64 (pow.f64 (log1p.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 (fma.f64 x x 1) (pow.f64 (+.f64 x -1) 2)) (-.f64 (hypot.f64 1 x) (-.f64 x 1))) (pow.f64 (+.f64 (+.f64 x -1) (hypot.f64 1 x)) 2)))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 (fma.f64 x x 1) (pow.f64 (+.f64 x -1) 2)) (-.f64 (hypot.f64 1 x) (-.f64 x 1))) (pow.f64 (+.f64 (+.f64 x -1) (hypot.f64 1 x)) 2))))))
(exp.f64 (log.f64 (log1p.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 (fma.f64 x x 1) (pow.f64 (+.f64 x -1) 2)) (-.f64 (hypot.f64 1 x) (-.f64 x 1))) (pow.f64 (+.f64 (+.f64 x -1) (hypot.f64 1 x)) 2))))))
(exp.f64 (.f64 (log.f64 (log1p.f64 (cbrt.f64 (.f64 (/.f64 (-.f64 (fma.f64 x x 1) (pow.f64 (+.f64 x -1) 2)) (-.f64 (hypot.f64 1 x) (-.f64 x 1))) (pow.f64 (+.f64 (+.f64 x -1) (hypot.f64 1 x)) 2))))) 1))
(+.f64 (hypot.f64 1 x) (neg.f64 x))
(+.f64 (hypot.f64 1 x) (*.f64 (neg.f64 x) 1))
(+.f64 (hypot.f64 1 x) (+.f64 (neg.f64 x) (fma.f64 (neg.f64 x) 1 x)))
(+.f64 (hypot.f64 1 x) (+.f64 (*.f64 (neg.f64 x) 1) (fma.f64 (neg.f64 x) 1 x)))
(+.f64 (hypot.f64 1 x) (+.f64 (neg.f64 x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 (hypot.f64 1 x) (+.f64 (*.f64 (neg.f64 x) 1) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 (hypot.f64 1 x) (+.f64 (neg.f64 x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 (hypot.f64 1 x) (+.f64 (*.f64 (neg.f64 x) 1) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 (-.f64 (hypot.f64 1 x) x) (fma.f64 (neg.f64 x) 1 x))
(+.f64 (-.f64 (hypot.f64 1 x) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(+.f64 (-.f64 (hypot.f64 1 x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(+.f64 (-.f64 (hypot.f64 1 x) x) (+.f64 (fma.f64 (neg.f64 x) 1 x) (fma.f64 (neg.f64 x) 1 x)))
(+.f64 (-.f64 (hypot.f64 1 x) x) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (fma.f64 (neg.f64 x) 1 x)))
(+.f64 (-.f64 (hypot.f64 1 x) x) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (fma.f64 (neg.f64 x) 1 x)))
(+.f64 (-.f64 (hypot.f64 1 x) x) (+.f64 (fma.f64 (neg.f64 x) 1 x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 (-.f64 (hypot.f64 1 x) x) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 (-.f64 (hypot.f64 1 x) x) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 (-.f64 (hypot.f64 1 x) x) (+.f64 (fma.f64 (neg.f64 x) 1 x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 (-.f64 (hypot.f64 1 x) x) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 (-.f64 (hypot.f64 1 x) x) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 (neg.f64 x) (hypot.f64 1 x))
(+.f64 (neg.f64 x) (+.f64 (hypot.f64 1 x) (fma.f64 (neg.f64 x) 1 x)))
(+.f64 (neg.f64 x) (+.f64 (hypot.f64 1 x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 (neg.f64 x) (+.f64 (hypot.f64 1 x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 (*.f64 (neg.f64 x) 1) (hypot.f64 1 x))
(+.f64 (fma.f64 (neg.f64 x) 1 x) (-.f64 (hypot.f64 1 x) x))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (-.f64 (hypot.f64 1 x) x))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (-.f64 (hypot.f64 1 x) x))
(*.f64 1 (-.f64 (hypot.f64 1 x) x))
(*.f64 (-.f64 (hypot.f64 1 x) x) 1)
(*.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 2)) (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))
(.f64 (-.f64 (fma.f64 x x 1) (.f64 x x)) (/.f64 1 (+.f64 x (hypot.f64 1 x))))
(.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (fma.f64 x x 1) (.f64 x (+.f64 x (hypot.f64 1 x))))))
(*.f64 (+.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)))
(/.f64 1 (/.f64 (+.f64 x (hypot.f64 1 x)) (-.f64 (fma.f64 x x 1) (*.f64 x x))))
(/.f64 1 (/.f64 (+.f64 (fma.f64 x x 1) (*.f64 x (+.f64 x (hypot.f64 1 x)))) (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))))
(/.f64 (-.f64 (fma.f64 x x 1) (*.f64 x x)) (+.f64 x (hypot.f64 1 x)))
(/.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (+.f64 (fma.f64 x x 1) (*.f64 x (+.f64 x (hypot.f64 1 x)))))
(/.f64 (-.f64 (fma.f64 x x 1) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (hypot.f64 1 x) (neg.f64 x)))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (fma.f64 x x 1) (-.f64 (.f64 (neg.f64 x) (neg.f64 x)) (.f64 (hypot.f64 1 x) (neg.f64 x)))))
(/.f64 (neg.f64 (-.f64 (fma.f64 x x 1) (*.f64 x x))) (neg.f64 (+.f64 x (hypot.f64 1 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (fma.f64 x x 1) (*.f64 x (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (-.f64 (hypot.f64 1 x) x) 1)
(pow.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) 2)
(pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 3)
(pow.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 2))
(log.f64 (exp.f64 (-.f64 (hypot.f64 1 x) x)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (hypot.f64 1 x) x))))
(cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 3))
(expm1.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) x)))
(exp.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(exp.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1))
(log1p.f64 (expm1.f64 (-.f64 (hypot.f64 1 x) x)))
(fma.f64 1 (hypot.f64 1 x) (neg.f64 x))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) (neg.f64 x))
(fma.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (hypot.f64 1 x)) (neg.f64 x))

Outputs
(*.f64 2 x)
(*.f64 2 x)
(*.f64 2 x)
(*.f64 2 x)
(*.f64 2 x)
(*.f64 2 x)
(*.f64 2 x)
(*.f64 2 x)
(*.f64 2 x)
(*.f64 2 x)
(*.f64 2 x)
(*.f64 2 x)
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 2))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (.f64 1/2 (/.f64 (-.f64 1 (.f64 4 (/.f64 1 (cbrt.f64 4)))) x)) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)))
(fma.f64 1/2 (/.f64 (-.f64 1 (/.f64 4 (cbrt.f64 4))) x) (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 2)))
(+.f64 (log.f64 2) (fma.f64 1/2 (/.f64 (+.f64 1 (/.f64 -4 (cbrt.f64 4))) x) (log.f64 x)))
(+.f64 (.f64 1/2 (/.f64 (-.f64 1 (.f64 4 (/.f64 1 (cbrt.f64 4)))) x)) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (.f64 1/2 (/.f64 (+.f64 (.f64 -1/4 (pow.f64 (-.f64 1 (.f64 4 (/.f64 1 (cbrt.f64 4)))) 2)) (.f64 1/12 (-.f64 12 (.f64 96 (/.f64 1 (pow.f64 (cbrt.f64 4) 2)))))) (pow.f64 x 2))))))
(fma.f64 1/2 (/.f64 (-.f64 1 (/.f64 4 (cbrt.f64 4))) x) (+.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 2)) (.f64 1/2 (/.f64 (fma.f64 -1/4 (pow.f64 (-.f64 1 (/.f64 4 (cbrt.f64 4))) 2) (.f64 1/12 (-.f64 12 (/.f64 96 (pow.f64 (cbrt.f64 4) 2))))) (*.f64 x x)))))
(+.f64 (fma.f64 1/2 (/.f64 (fma.f64 -1/4 (pow.f64 (+.f64 1 (/.f64 -4 (cbrt.f64 4))) 2) (+.f64 1 (.f64 1/12 (/.f64 -96 (pow.f64 (cbrt.f64 4) 2))))) (.f64 x x)) (log.f64 2)) (fma.f64 1/2 (/.f64 (+.f64 1 (/.f64 -4 (cbrt.f64 4))) x) (log.f64 x)))
(+.f64 (.f64 1/2 (/.f64 (-.f64 1 (.f64 4 (/.f64 1 (cbrt.f64 4)))) x)) (+.f64 (.f64 1/6 (/.f64 (+.f64 (.f64 1/4 (pow.f64 (-.f64 1 (.f64 4 (/.f64 1 (cbrt.f64 4)))) 3)) (+.f64 (.f64 1/4 (-.f64 9 (.f64 -4 (/.f64 (-.f64 12 (.f64 96 (/.f64 1 (pow.f64 (cbrt.f64 4) 2)))) (cbrt.f64 4))))) (.f64 -1/8 (.f64 (-.f64 12 (.f64 96 (/.f64 1 (pow.f64 (cbrt.f64 4) 2)))) (-.f64 1 (.f64 4 (/.f64 1 (cbrt.f64 4)))))))) (pow.f64 x 3))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (.f64 1/2 (/.f64 (+.f64 (.f64 -1/4 (pow.f64 (-.f64 1 (.f64 4 (/.f64 1 (cbrt.f64 4)))) 2)) (.f64 1/12 (-.f64 12 (.f64 96 (/.f64 1 (pow.f64 (cbrt.f64 4) 2)))))) (pow.f64 x 2)))))))
(fma.f64 1/2 (/.f64 (-.f64 1 (/.f64 4 (cbrt.f64 4))) x) (fma.f64 1/6 (/.f64 (fma.f64 1/4 (pow.f64 (-.f64 1 (/.f64 4 (cbrt.f64 4))) 3) (fma.f64 1/4 (+.f64 9 (.f64 4 (/.f64 (-.f64 12 (/.f64 96 (pow.f64 (cbrt.f64 4) 2))) (cbrt.f64 4)))) (.f64 -1/8 (.f64 (-.f64 1 (/.f64 4 (cbrt.f64 4))) (-.f64 12 (/.f64 96 (pow.f64 (cbrt.f64 4) 2))))))) (pow.f64 x 3)) (+.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 2)) (.f64 1/2 (/.f64 (fma.f64 -1/4 (pow.f64 (-.f64 1 (/.f64 4 (cbrt.f64 4))) 2) (.f64 1/12 (-.f64 12 (/.f64 96 (pow.f64 (cbrt.f64 4) 2))))) (.f64 x x))))))
(fma.f64 1/2 (/.f64 (+.f64 1 (/.f64 -4 (cbrt.f64 4))) x) (fma.f64 1/6 (/.f64 (fma.f64 1/4 (pow.f64 (+.f64 1 (/.f64 -4 (cbrt.f64 4))) 3) (fma.f64 1/4 (+.f64 9 (.f64 4 (/.f64 (+.f64 12 (/.f64 -96 (pow.f64 (cbrt.f64 4) 2))) (cbrt.f64 4)))) (.f64 (+.f64 1 (/.f64 -4 (cbrt.f64 4))) (+.f64 -3/2 (.f64 -1/8 (/.f64 -96 (pow.f64 (cbrt.f64 4) 2))))))) (pow.f64 x 3)) (+.f64 (log.f64 x) (fma.f64 1/2 (/.f64 (fma.f64 -1/4 (pow.f64 (+.f64 1 (/.f64 -4 (cbrt.f64 4))) 2) (+.f64 1 (.f64 1/12 (/.f64 -96 (pow.f64 (cbrt.f64 4) 2))))) (*.f64 x x)) (log.f64 2)))))
(log.f64 (+.f64 1 (cbrt.f64 -1)))
(log1p.f64 (cbrt.f64 -1))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (/.f64 1 (*.f64 (+.f64 1 (cbrt.f64 -1)) x)))) (log.f64 (+.f64 1 (cbrt.f64 -1))))
(fma.f64 -1/2 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (/.f64 1 (.f64 x (+.f64 1 (cbrt.f64 -1))))) (log1p.f64 (cbrt.f64 -1)))
(fma.f64 -1/2 (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (+.f64 x (*.f64 x (cbrt.f64 -1)))) (log1p.f64 (cbrt.f64 -1)))
(+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -2/3 (/.f64 (+.f64 3/4 (.f64 3/4 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (.f64 (+.f64 1 (cbrt.f64 -1)) (pow.f64 (cbrt.f64 -1) 2)))) (.f64 -1/4 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3) (/.f64 1 (pow.f64 (+.f64 1 (cbrt.f64 -1)) 2))))) (pow.f64 x 2))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (/.f64 1 (*.f64 (+.f64 1 (cbrt.f64 -1)) x)))) (log.f64 (+.f64 1 (cbrt.f64 -1)))))
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1
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(/.f64 1/2 x)
(-.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3)))
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(-.f64 (.f64 -2 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 x -2) (/.f64 1/2 x))
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(log1p.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 (fma.f64 x x 1) (pow.f64 (+.f64 x -1) 2)) (-.f64 (hypot.f64 1 x) (+.f64 x -1))) (pow.f64 (+.f64 x (+.f64 -1 (hypot.f64 1 x))) 2))))
(log1p.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 (fma.f64 x x 1) (pow.f64 (+.f64 x -1) 2)) (+.f64 (-.f64 1 x) (hypot.f64 1 x))) (pow.f64 (+.f64 x (+.f64 -1 (hypot.f64 1 x))) 2))))
(expm1.f64 (log1p.f64 (log1p.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 (fma.f64 x x 1) (pow.f64 (+.f64 x -1) 2)) (-.f64 (hypot.f64 1 x) (-.f64 x 1))) (pow.f64 (+.f64 (+.f64 x -1) (hypot.f64 1 x)) 2))))))
(log1p.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 (fma.f64 x x 1) (pow.f64 (+.f64 x -1) 2)) (-.f64 (hypot.f64 1 x) (+.f64 x -1))) (pow.f64 (+.f64 x (+.f64 -1 (hypot.f64 1 x))) 2))))
(log1p.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 (fma.f64 x x 1) (pow.f64 (+.f64 x -1) 2)) (+.f64 (-.f64 1 x) (hypot.f64 1 x))) (pow.f64 (+.f64 x (+.f64 -1 (hypot.f64 1 x))) 2))))
(exp.f64 (log.f64 (log1p.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 (fma.f64 x x 1) (pow.f64 (+.f64 x -1) 2)) (-.f64 (hypot.f64 1 x) (-.f64 x 1))) (pow.f64 (+.f64 (+.f64 x -1) (hypot.f64 1 x)) 2))))))
(log1p.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 (fma.f64 x x 1) (pow.f64 (+.f64 x -1) 2)) (-.f64 (hypot.f64 1 x) (+.f64 x -1))) (pow.f64 (+.f64 x (+.f64 -1 (hypot.f64 1 x))) 2))))
(log1p.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 (fma.f64 x x 1) (pow.f64 (+.f64 x -1) 2)) (+.f64 (-.f64 1 x) (hypot.f64 1 x))) (pow.f64 (+.f64 x (+.f64 -1 (hypot.f64 1 x))) 2))))
(exp.f64 (.f64 (log.f64 (log1p.f64 (cbrt.f64 (.f64 (/.f64 (-.f64 (fma.f64 x x 1) (pow.f64 (+.f64 x -1) 2)) (-.f64 (hypot.f64 1 x) (-.f64 x 1))) (pow.f64 (+.f64 (+.f64 x -1) (hypot.f64 1 x)) 2))))) 1))
(log1p.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 (fma.f64 x x 1) (pow.f64 (+.f64 x -1) 2)) (-.f64 (hypot.f64 1 x) (+.f64 x -1))) (pow.f64 (+.f64 x (+.f64 -1 (hypot.f64 1 x))) 2))))
(log1p.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 (fma.f64 x x 1) (pow.f64 (+.f64 x -1) 2)) (+.f64 (-.f64 1 x) (hypot.f64 1 x))) (pow.f64 (+.f64 x (+.f64 -1 (hypot.f64 1 x))) 2))))
(+.f64 (hypot.f64 1 x) (neg.f64 x))
(-.f64 (hypot.f64 1 x) x)
(+.f64 (hypot.f64 1 x) (*.f64 (neg.f64 x) 1))
(-.f64 (hypot.f64 1 x) x)
(+.f64 (hypot.f64 1 x) (+.f64 (neg.f64 x) (fma.f64 (neg.f64 x) 1 x)))
(+.f64 (+.f64 (neg.f64 x) x) (-.f64 (hypot.f64 1 x) x))
(+.f64 (hypot.f64 1 x) (-.f64 (*.f64 0 x) x))
(-.f64 (*.f64 0 x) (-.f64 x (hypot.f64 1 x)))
(+.f64 (hypot.f64 1 x) (+.f64 (*.f64 (neg.f64 x) 1) (fma.f64 (neg.f64 x) 1 x)))
(+.f64 (+.f64 (neg.f64 x) x) (-.f64 (hypot.f64 1 x) x))
(+.f64 (hypot.f64 1 x) (-.f64 (*.f64 0 x) x))
(-.f64 (*.f64 0 x) (-.f64 x (hypot.f64 1 x)))
(+.f64 (hypot.f64 1 x) (+.f64 (neg.f64 x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (-.f64 (hypot.f64 1 x) x))
(+.f64 (hypot.f64 1 x) (-.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) x))
(+.f64 (hypot.f64 1 x) (+.f64 (*.f64 (neg.f64 x) 1) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (-.f64 (hypot.f64 1 x) x))
(+.f64 (hypot.f64 1 x) (-.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) x))
(+.f64 (hypot.f64 1 x) (+.f64 (neg.f64 x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (-.f64 (hypot.f64 1 x) x))
(+.f64 (hypot.f64 1 x) (+.f64 (*.f64 (neg.f64 x) 1) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (-.f64 (hypot.f64 1 x) x))
(+.f64 (-.f64 (hypot.f64 1 x) x) (fma.f64 (neg.f64 x) 1 x))
(+.f64 (+.f64 (neg.f64 x) x) (-.f64 (hypot.f64 1 x) x))
(+.f64 (hypot.f64 1 x) (-.f64 (*.f64 0 x) x))
(-.f64 (*.f64 0 x) (-.f64 x (hypot.f64 1 x)))
(+.f64 (-.f64 (hypot.f64 1 x) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (-.f64 (hypot.f64 1 x) x))
(+.f64 (hypot.f64 1 x) (-.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) x))
(+.f64 (-.f64 (hypot.f64 1 x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (-.f64 (hypot.f64 1 x) x))
(+.f64 (-.f64 (hypot.f64 1 x) x) (+.f64 (fma.f64 (neg.f64 x) 1 x) (fma.f64 (neg.f64 x) 1 x)))
(+.f64 (-.f64 (hypot.f64 1 x) x) (*.f64 2 (+.f64 (neg.f64 x) x)))
(fma.f64 2 (*.f64 0 x) (-.f64 (hypot.f64 1 x) x))
(+.f64 (-.f64 (hypot.f64 1 x) x) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (fma.f64 (neg.f64 x) 1 x)))
(+.f64 (-.f64 (hypot.f64 1 x) x) (+.f64 (+.f64 (neg.f64 x) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 (hypot.f64 1 x) (+.f64 (-.f64 (*.f64 0 x) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 (-.f64 (hypot.f64 1 x) x) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (fma.f64 (neg.f64 x) 1 x)))
(+.f64 (-.f64 (hypot.f64 1 x) x) (+.f64 (+.f64 (neg.f64 x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 (-.f64 (*.f64 0 x) x) (+.f64 (hypot.f64 1 x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 (-.f64 (hypot.f64 1 x) x) (+.f64 (fma.f64 (neg.f64 x) 1 x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 (-.f64 (hypot.f64 1 x) x) (+.f64 (+.f64 (neg.f64 x) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 (hypot.f64 1 x) (+.f64 (-.f64 (*.f64 0 x) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 (-.f64 (hypot.f64 1 x) x) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 (-.f64 (hypot.f64 1 x) x) (*.f64 2 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(fma.f64 2 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (-.f64 (hypot.f64 1 x) x))
(+.f64 (-.f64 (hypot.f64 1 x) x) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 (-.f64 (hypot.f64 1 x) x) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(-.f64 (+.f64 (hypot.f64 1 x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)) (-.f64 x (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 (-.f64 (hypot.f64 1 x) x) (+.f64 (fma.f64 (neg.f64 x) 1 x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 (-.f64 (hypot.f64 1 x) x) (+.f64 (+.f64 (neg.f64 x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 (-.f64 (*.f64 0 x) x) (+.f64 (hypot.f64 1 x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 (-.f64 (hypot.f64 1 x) x) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(-.f64 (+.f64 (hypot.f64 1 x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)) (-.f64 x (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 (-.f64 (hypot.f64 1 x) x) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 (-.f64 (hypot.f64 1 x) x) (*.f64 2 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(fma.f64 2 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (-.f64 (hypot.f64 1 x) x))
(+.f64 (neg.f64 x) (hypot.f64 1 x))
(-.f64 (hypot.f64 1 x) x)
(+.f64 (neg.f64 x) (+.f64 (hypot.f64 1 x) (fma.f64 (neg.f64 x) 1 x)))
(+.f64 (+.f64 (neg.f64 x) x) (-.f64 (hypot.f64 1 x) x))
(+.f64 (hypot.f64 1 x) (-.f64 (*.f64 0 x) x))
(-.f64 (*.f64 0 x) (-.f64 x (hypot.f64 1 x)))
(+.f64 (neg.f64 x) (+.f64 (hypot.f64 1 x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (-.f64 (hypot.f64 1 x) x))
(+.f64 (hypot.f64 1 x) (-.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) x))
(+.f64 (neg.f64 x) (+.f64 (hypot.f64 1 x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (-.f64 (hypot.f64 1 x) x))
(+.f64 (*.f64 (neg.f64 x) 1) (hypot.f64 1 x))
(-.f64 (hypot.f64 1 x) x)
(+.f64 (fma.f64 (neg.f64 x) 1 x) (-.f64 (hypot.f64 1 x) x))
(+.f64 (+.f64 (neg.f64 x) x) (-.f64 (hypot.f64 1 x) x))
(+.f64 (hypot.f64 1 x) (-.f64 (*.f64 0 x) x))
(-.f64 (*.f64 0 x) (-.f64 x (hypot.f64 1 x)))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (-.f64 (hypot.f64 1 x) x))
(+.f64 (hypot.f64 1 x) (-.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) x))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (-.f64 (hypot.f64 1 x) x))
(*.f64 1 (-.f64 (hypot.f64 1 x) x))
(-.f64 (hypot.f64 1 x) x)
(*.f64 (-.f64 (hypot.f64 1 x) x) 1)
(-.f64 (hypot.f64 1 x) x)
(*.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))
(-.f64 (hypot.f64 1 x) x)
(*.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 2)) (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 2)))
(.f64 (-.f64 (fma.f64 x x 1) (.f64 x x)) (/.f64 1 (+.f64 x (hypot.f64 1 x))))
(/.f64 (.f64 (-.f64 (fma.f64 x x 1) (.f64 x x)) 1) (+.f64 x (hypot.f64 1 x)))
(/.f64 (-.f64 (fma.f64 x x 1) (*.f64 x x)) (+.f64 x (hypot.f64 1 x)))
(.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (fma.f64 x x 1) (.f64 x (+.f64 x (hypot.f64 1 x))))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (hypot.f64 1 x)) (fma.f64 x x 1)))
(*.f64 (+.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)))
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (hypot.f64 1 x))) (-.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)))
(/.f64 1 (/.f64 (+.f64 x (hypot.f64 1 x)) (-.f64 (fma.f64 x x 1) (*.f64 x x))))
(/.f64 (.f64 (-.f64 (fma.f64 x x 1) (.f64 x x)) 1) (+.f64 x (hypot.f64 1 x)))
(/.f64 (-.f64 (fma.f64 x x 1) (*.f64 x x)) (+.f64 x (hypot.f64 1 x)))
(/.f64 1 (/.f64 (+.f64 (fma.f64 x x 1) (*.f64 x (+.f64 x (hypot.f64 1 x)))) (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))))
(.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (fma.f64 x x 1) (.f64 x (+.f64 x (hypot.f64 1 x))))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (hypot.f64 1 x)) (fma.f64 x x 1)))
(/.f64 (-.f64 (fma.f64 x x 1) (*.f64 x x)) (+.f64 x (hypot.f64 1 x)))
(/.f64 (.f64 (-.f64 (fma.f64 x x 1) (.f64 x x)) 1) (+.f64 x (hypot.f64 1 x)))
(/.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (+.f64 (fma.f64 x x 1) (*.f64 x (+.f64 x (hypot.f64 1 x)))))
(.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (fma.f64 x x 1) (.f64 x (+.f64 x (hypot.f64 1 x))))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (hypot.f64 1 x)) (fma.f64 x x 1)))
(/.f64 (-.f64 (fma.f64 x x 1) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (hypot.f64 1 x) (neg.f64 x)))
(/.f64 (.f64 (-.f64 (fma.f64 x x 1) (.f64 x x)) 1) (+.f64 x (hypot.f64 1 x)))
(/.f64 (-.f64 (fma.f64 x x 1) (*.f64 x x)) (+.f64 x (hypot.f64 1 x)))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (fma.f64 x x 1) (-.f64 (.f64 (neg.f64 x) (neg.f64 x)) (.f64 (hypot.f64 1 x) (neg.f64 x)))))
(.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (fma.f64 x x 1) (.f64 x (+.f64 x (hypot.f64 1 x))))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (hypot.f64 1 x)) (fma.f64 x x 1)))
(/.f64 (neg.f64 (-.f64 (fma.f64 x x 1) (*.f64 x x))) (neg.f64 (+.f64 x (hypot.f64 1 x))))
(.f64 1 (/.f64 (-.f64 (fma.f64 x x 1) (.f64 x x)) (+.f64 x (hypot.f64 1 x))))
(/.f64 (-.f64 (*.f64 x x) (fma.f64 x x 1)) (-.f64 (neg.f64 x) (hypot.f64 1 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (fma.f64 x x 1) (*.f64 x (+.f64 x (hypot.f64 1 x))))))
(*.f64 1 (/.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (hypot.f64 1 x)) (fma.f64 x x 1))))
(pow.f64 (-.f64 (hypot.f64 1 x) x) 1)
(-.f64 (hypot.f64 1 x) x)
(pow.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) 2)
(-.f64 (hypot.f64 1 x) x)
(pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 3)
(-.f64 (hypot.f64 1 x) x)
(pow.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 3) 1/3)
(-.f64 (hypot.f64 1 x) x)
(sqrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 2))
(fabs.f64 (-.f64 (hypot.f64 1 x) x))
(log.f64 (exp.f64 (-.f64 (hypot.f64 1 x) x)))
(-.f64 (hypot.f64 1 x) x)
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (hypot.f64 1 x) x))))
(-.f64 (hypot.f64 1 x) x)
(cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 3))
(-.f64 (hypot.f64 1 x) x)
(expm1.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) x)))
(-.f64 (hypot.f64 1 x) x)
(exp.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(-.f64 (hypot.f64 1 x) x)
(exp.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1))
(-.f64 (hypot.f64 1 x) x)
(log1p.f64 (expm1.f64 (-.f64 (hypot.f64 1 x) x)))
(-.f64 (hypot.f64 1 x) x)
(fma.f64 1 (hypot.f64 1 x) (neg.f64 x))
(-.f64 (hypot.f64 1 x) x)
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) (neg.f64 x))
(-.f64 (hypot.f64 1 x) x)
(fma.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (hypot.f64 1 x)) (neg.f64 x))
(-.f64 (*.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (hypot.f64 1 x))) x)

eval1.3s (10.2%)

Compiler: Compiled 45295 to 34648 computations (23.5% saved)

prune475.0ms (3.8%)

Pruning

18 alts after pruning (9 fresh and 9 done)

	Pruned	Kept	Total
New	1274	5	1279
Fresh	0	4	4
Picked	1	0	1
Done	0	9	9
Total	1275	18	1293

Error

0.01%

Counts

1293 → 18

Alt Table

Click to see full alt table

Status	Error	Program
▶	48.35%	(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)))
✓	47.9%	(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x))
✓	48.56%	(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
✓	68.95%	(log1p.f64 (/.f64 1 (/.f64 1 (+.f64 (hypot.f64 1 x) (+.f64 x -1)))))
▶	96.39%	(log1p.f64 (/.f64 1 (-.f64 (/.f64 1/2 x) (+.f64 1 (/.f64 1/4 (*.f64 x x))))))
▶	46.26%	(log1p.f64 (/.f64 1 (-.f64 (+.f64 (/.f64 1 x) (*.f64 1/4 x)) 1/2)))
	84.57%	(log1p.f64 (/.f64 1 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1)) 3)))))
✓	68.94%	(log1p.f64 (+.f64 (hypot.f64 1 x) (-.f64 x 1)))
▶	91.17%	(log1p.f64 (.f64 (/.f64 (cbrt.f64 (+.f64 (+.f64 (neg.f64 (pow.f64 (+.f64 x -1) 2)) (.f64 x x)) 1)) (cbrt.f64 (+.f64 1 (-.f64 (hypot.f64 1 x) x)))) (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1))) 2)))
✓	41.51%	(log1p.f64 x)
	72.68%	(log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))
✓	77%	(log.f64 (/.f64 -1/2 x))
	98.89%	(log.f64 (-.f64 x (/.f64 1 (/.f64 1 (+.f64 x (/.f64 1/2 x))))))
✓	99.27%	(log.f64 (-.f64 x (+.f64 x (/.f64 1/2 x))))
✓	69.65%	(log.f64 (+.f64 x (hypot.f64 1 x)))
▶	72.98%	(log.f64 (+.f64 x (+.f64 (/.f64 1/2 x) x)))
✓	73.9%	(log.f64 (+.f64 x x))
	46.33%	x

Compiler

Compiled 335 to 264 computations (21.2% saved)

localize21.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.01%	(+.f64 (/.f64 1 x) (*.f64 1/4 x))
✓	0.16%	(/.f64 1 (-.f64 (+.f64 (/.f64 1 x) (*.f64 1/4 x)) 1/2))

Compiler

Compiled 50 to 39 computations (22% saved)

series1.0ms (0%)

Counts

2 → 15

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(/.f64 1 (-.f64 (+.f64 (/.f64 1 x) (*.f64 1/4 x)) 1/2))
0.0ms	x	@	0	(/.f64 1 (-.f64 (+.f64 (/.f64 1 x) (*.f64 1/4 x)) 1/2))
0.0ms	x	@	-inf	(/.f64 1 (-.f64 (+.f64 (/.f64 1 x) (*.f64 1/4 x)) 1/2))
0.0ms	x	@	-inf	(+.f64 (/.f64 1 x) (*.f64 1/4 x))
0.0ms	x	@	inf	(+.f64 (/.f64 1 x) (*.f64 1/4 x))

rewrite105.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1540×	`associate-*r/`
1132×	`associate-*l/`
1028×	`*-commutative`
714×	`distribute-lft-in`
596×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	50
1	247	42
2	3215	42

Stop Event

1×	node limit

Counts

2 → 138

Calls

Call 1

Inputs
(/.f64 1 (-.f64 (+.f64 (/.f64 1 x) (*.f64 1/4 x)) 1/2))
(+.f64 (/.f64 1 x) (*.f64 1/4 x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (+.f64 (pow.f64 (fma.f64 x 1/4 (/.f64 1 x)) 2) -1/4)) (/.f64 1 x)) (*.f64 (/.f64 1 (+.f64 (pow.f64 (fma.f64 x 1/4 (/.f64 1 x)) 2) -1/4)) (+.f64 (*.f64 x 1/4) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (+.f64 (pow.f64 (fma.f64 x 1/4 (/.f64 1 x)) 2) -1/4)) (*.f64 x 1/4)) (*.f64 (/.f64 1 (+.f64 (pow.f64 (fma.f64 x 1/4 (/.f64 1 x)) 2) -1/4)) (+.f64 (/.f64 1 x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (+.f64 (pow.f64 (fma.f64 x 1/4 (/.f64 1 x)) 2) -1/4)) (fma.f64 x 1/4 (/.f64 1 x))) (*.f64 (/.f64 1 (+.f64 (pow.f64 (fma.f64 x 1/4 (/.f64 1 x)) 2) -1/4)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (+.f64 (pow.f64 (fma.f64 x 1/4 (/.f64 1 x)) 2) -1/4)) 1/2) (*.f64 (/.f64 1 (+.f64 (pow.f64 (fma.f64 x 1/4 (/.f64 1 x)) 2) -1/4)) (fma.f64 x 1/4 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (+.f64 (pow.f64 (fma.f64 x 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (/.f64 1 x) (fma.f64 x 1/4 -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 (/.f64 1 x) (fma.f64 x 1/4 -1/2)) -1/2) (pow.f64 (+.f64 (/.f64 1 x) (fma.f64 x 1/4 -1/2)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 (/.f64 1 x) (fma.f64 x 1/4 -1/2)))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 1 x) (fma.f64 x 1/4 -1/2)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 1 x) (fma.f64 x 1/4 -1/2)) -2)) (/.f64 1 (cbrt.f64 (+.f64 (/.f64 1 x) (fma.f64 x 1/4 -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (fma.f64 x 1/4 (/.f64 1 x)) 1/2) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x 1/4 (/.f64 1 x)) 2) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1/4 (+.f64 (*.f64 (fma.f64 x 1/4 (/.f64 1 x)) 1/2) (pow.f64 (fma.f64 x 1/4 (/.f64 1 x)) 2))) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x 1/4 (/.f64 1 x)) 3) -1/8)))))) 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#<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 (/.f64 1 x) (fma.f64 x 1/4 -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 1 x) (fma.f64 x 1/4 -1/2)) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (/.f64 1 x) (fma.f64 x 1/4 -1/2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (pow.f64 (+.f64 (/.f64 1 x) (fma.f64 x 1/4 -1/2)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 1 x) (fma.f64 x 1/4 -1/2)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 (/.f64 1 x) (fma.f64 x 1/4 -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 (/.f64 1 x) (fma.f64 x 1/4 -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (/.f64 1 x) (fma.f64 x 1/4 -1/2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1 x) (fma.f64 x 1/4 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x 1/4 (/.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x 1/4))) (-.f64 1 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 x))) (-.f64 1 (*.f64 x 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 x -2) (+.f64 (/.f64 1 x) (*.f64 x -1/4))) (/.f64 1/16 (/.f64 (+.f64 (/.f64 1 x) (*.f64 x -1/4)) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 1 x) (exp.f64 (log1p.f64 (*.f64 x 1/4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 x 1/4) (exp.f64 (log1p.f64 (/.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x 1/4 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x 1/4 (/.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x 1/4 (/.f64 1 x))) (sqrt.f64 (fma.f64 x 1/4 (/.f64 1 x))))))) 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simplify129.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1478×	`associate-/l/`
774×	`+-commutative`
536×	`associate-r`
448×	`associate-+r+`
424×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	434	8857
1	1279	7809
2	5508	7809

Stop Event

1×	node limit

Counts

153 → 227

Calls

Call 1

Inputs
x
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/8 (pow.f64 x 4)) x))
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(/.f64 (neg.f64 (-.f64 (pow.f64 x -2) (.f64 1/16 (.f64 x x)))) (.f64 1 (neg.f64 (+.f64 (/.f64 1 x) (.f64 x -1/4)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x -3) (.f64 1/64 (pow.f64 x 3)))) (neg.f64 (-.f64 (.f64 1/16 (.f64 x x)) (-.f64 (.f64 x (/.f64 1/4 x)) (pow.f64 x -2)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x -3) (.f64 1/64 (pow.f64 x 3)))) (.f64 1 (neg.f64 (-.f64 (.f64 1/16 (.f64 x x)) (-.f64 (*.f64 x (/.f64 1/4 x)) (pow.f64 x -2))))))
(/.f64 (.f64 1 (-.f64 (.f64 1/16 (.f64 x x)) (pow.f64 x -2))) (-.f64 (.f64 x 1/4) (/.f64 1 x)))
(/.f64 (.f64 1 (neg.f64 (-.f64 (pow.f64 x -2) (.f64 1/16 (.f64 x x))))) (neg.f64 (+.f64 (/.f64 1 x) (.f64 x -1/4))))
(/.f64 (.f64 1 (neg.f64 (+.f64 (pow.f64 x -3) (.f64 1/64 (pow.f64 x 3))))) (neg.f64 (-.f64 (.f64 1/16 (.f64 x x)) (-.f64 (*.f64 x (/.f64 1/4 x)) (pow.f64 x -2)))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 x 1/4 (/.f64 1 x))) (sqrt.f64 (-.f64 (pow.f64 x -2) (.f64 1/16 (.f64 x x))))) (sqrt.f64 (+.f64 (/.f64 1 x) (.f64 x -1/4))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 x 1/4 (/.f64 1 x))) (sqrt.f64 (+.f64 (pow.f64 x -3) (.f64 1/64 (pow.f64 x 3))))) (sqrt.f64 (-.f64 (.f64 1/16 (.f64 x x)) (-.f64 (*.f64 x (/.f64 1/4 x)) (pow.f64 x -2)))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/4 (/.f64 1 x))) 2) (cbrt.f64 (-.f64 (pow.f64 x -2) (.f64 1/16 (.f64 x x))))) (cbrt.f64 (+.f64 (/.f64 1 x) (.f64 x -1/4))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/4 (/.f64 1 x))) 2) (cbrt.f64 (+.f64 (pow.f64 x -3) (.f64 1/64 (pow.f64 x 3))))) (cbrt.f64 (-.f64 (.f64 1/16 (.f64 x x)) (-.f64 (*.f64 x (/.f64 1/4 x)) (pow.f64 x -2)))))
(/.f64 (.f64 (-.f64 (.f64 1/16 (.f64 x x)) (pow.f64 x -2)) 1) (-.f64 (.f64 x 1/4) (/.f64 1 x)))
(/.f64 (.f64 (neg.f64 (-.f64 (pow.f64 x -2) (.f64 1/16 (.f64 x x)))) 1) (neg.f64 (+.f64 (/.f64 1 x) (.f64 x -1/4))))
(/.f64 (.f64 (neg.f64 (+.f64 (pow.f64 x -3) (.f64 1/64 (pow.f64 x 3)))) 1) (neg.f64 (-.f64 (.f64 1/16 (.f64 x x)) (-.f64 (*.f64 x (/.f64 1/4 x)) (pow.f64 x -2)))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (pow.f64 x -2) (.f64 1/16 (.f64 x x)))) (sqrt.f64 (fma.f64 x 1/4 (/.f64 1 x)))) (sqrt.f64 (+.f64 (/.f64 1 x) (.f64 x -1/4))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 x -3) (.f64 1/64 (pow.f64 x 3)))) (sqrt.f64 (fma.f64 x 1/4 (/.f64 1 x)))) (sqrt.f64 (-.f64 (.f64 1/16 (.f64 x x)) (-.f64 (*.f64 x (/.f64 1/4 x)) (pow.f64 x -2)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 x -2) (.f64 1/16 (.f64 x x)))) (pow.f64 (cbrt.f64 (fma.f64 x 1/4 (/.f64 1 x))) 2)) (cbrt.f64 (+.f64 (/.f64 1 x) (.f64 x -1/4))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 x -3) (.f64 1/64 (pow.f64 x 3)))) (pow.f64 (cbrt.f64 (fma.f64 x 1/4 (/.f64 1 x))) 2)) (cbrt.f64 (-.f64 (.f64 1/16 (.f64 x x)) (-.f64 (*.f64 x (/.f64 1/4 x)) (pow.f64 x -2)))))
(/.f64 (.f64 (-.f64 (/.f64 (pow.f64 x -3) x) (.f64 (.f64 1/16 (.f64 x x)) (.f64 1/16 (.f64 x x)))) (/.f64 1 (+.f64 (/.f64 1 x) (.f64 x -1/4)))) (+.f64 (pow.f64 x -2) (.f64 1/16 (*.f64 x x))))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 x -2) 3) (pow.f64 (.f64 1/16 (.f64 x x)) 3)) (/.f64 1 (+.f64 (/.f64 1 x) (.f64 x -1/4)))) (+.f64 (+.f64 (/.f64 (pow.f64 x -3) x) (.f64 (.f64 1/16 (.f64 x x)) (.f64 1/16 (.f64 x x)))) (.f64 (pow.f64 x -2) (.f64 1/16 (.f64 x x)))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 x -3) (pow.f64 x -3)) (.f64 (.f64 1/64 (pow.f64 x 3)) (.f64 1/64 (pow.f64 x 3)))) (/.f64 1 (-.f64 (.f64 1/16 (.f64 x x)) (-.f64 (.f64 x (/.f64 1/4 x)) (pow.f64 x -2))))) (-.f64 (pow.f64 x -3) (*.f64 1/64 (pow.f64 x 3))))
(/.f64 (.f64 (+.f64 (pow.f64 (pow.f64 x -3) 3) (pow.f64 (.f64 1/64 (pow.f64 x 3)) 3)) (/.f64 1 (-.f64 (.f64 1/16 (.f64 x x)) (-.f64 (.f64 x (/.f64 1/4 x)) (pow.f64 x -2))))) (-.f64 (+.f64 (.f64 (pow.f64 x -3) (pow.f64 x -3)) (.f64 (.f64 1/64 (pow.f64 x 3)) (.f64 1/64 (pow.f64 x 3)))) (.f64 (pow.f64 x -3) (*.f64 1/64 (pow.f64 x 3)))))
(/.f64 (/.f64 (-.f64 (pow.f64 x -2) (.f64 1/16 (.f64 x x))) 1) (+.f64 (/.f64 1 x) (*.f64 x -1/4)))
(/.f64 (/.f64 (-.f64 (pow.f64 x -2) (.f64 1/16 (.f64 x x))) (sqrt.f64 (+.f64 (/.f64 1 x) (.f64 x -1/4)))) (sqrt.f64 (+.f64 (/.f64 1 x) (.f64 x -1/4))))
(/.f64 (/.f64 (-.f64 (pow.f64 x -2) (.f64 1/16 (.f64 x x))) (.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (.f64 x -1/4))) (cbrt.f64 (+.f64 (/.f64 1 x) (.f64 x -1/4))))) (cbrt.f64 (+.f64 (/.f64 1 x) (.f64 x -1/4))))
(/.f64 (/.f64 (-.f64 (pow.f64 x -2) (.f64 1/16 (.f64 x x))) (+.f64 (pow.f64 x -1/2) (.f64 1/2 (sqrt.f64 x)))) (-.f64 (pow.f64 x -1/2) (.f64 1/2 (sqrt.f64 x))))
(/.f64 (/.f64 (+.f64 (pow.f64 x -3) (.f64 1/64 (pow.f64 x 3))) 1) (-.f64 (.f64 1/16 (.f64 x x)) (-.f64 (.f64 x (/.f64 1/4 x)) (pow.f64 x -2))))
(/.f64 (/.f64 (+.f64 (pow.f64 x -3) (.f64 1/64 (pow.f64 x 3))) (sqrt.f64 (-.f64 (.f64 1/16 (.f64 x x)) (-.f64 (.f64 x (/.f64 1/4 x)) (pow.f64 x -2))))) (sqrt.f64 (-.f64 (.f64 1/16 (.f64 x x)) (-.f64 (*.f64 x (/.f64 1/4 x)) (pow.f64 x -2)))))
(/.f64 (/.f64 (+.f64 (pow.f64 x -3) (.f64 1/64 (pow.f64 x 3))) (.f64 (cbrt.f64 (-.f64 (.f64 1/16 (.f64 x x)) (-.f64 (.f64 x (/.f64 1/4 x)) (pow.f64 x -2)))) (cbrt.f64 (-.f64 (.f64 1/16 (.f64 x x)) (-.f64 (.f64 x (/.f64 1/4 x)) (pow.f64 x -2)))))) (cbrt.f64 (-.f64 (.f64 1/16 (.f64 x x)) (-.f64 (*.f64 x (/.f64 1/4 x)) (pow.f64 x -2)))))
(pow.f64 (fma.f64 x 1/4 (/.f64 1 x)) 1)
(pow.f64 (sqrt.f64 (fma.f64 x 1/4 (/.f64 1 x))) 2)
(pow.f64 (cbrt.f64 (fma.f64 x 1/4 (/.f64 1 x))) 3)
(pow.f64 (pow.f64 (fma.f64 x 1/4 (/.f64 1 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 x 1/4 (/.f64 1 x)) 2))
(log.f64 (exp.f64 (fma.f64 x 1/4 (/.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 1/4 (/.f64 1 x)))))
(cbrt.f64 (pow.f64 (fma.f64 x 1/4 (/.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x 1/4 (/.f64 1 x))))
(exp.f64 (log.f64 (fma.f64 x 1/4 (/.f64 1 x))))
(log1p.f64 (expm1.f64 (fma.f64 x 1/4 (/.f64 1 x))))
(fma.f64 1 (/.f64 1 x) (*.f64 x 1/4))
(fma.f64 1 (*.f64 x 1/4) (/.f64 1 x))
(fma.f64 x 1/4 (/.f64 1 x))
(fma.f64 1/4 x (/.f64 1 x))
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (*.f64 x 1/4))
(fma.f64 (.f64 1/2 (sqrt.f64 x)) (.f64 1/2 (sqrt.f64 x)) (/.f64 1 x))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) (*.f64 x 1/4))
(fma.f64 (cbrt.f64 (.f64 1/16 (.f64 x x))) (cbrt.f64 (*.f64 x 1/4)) (/.f64 1 x))

Outputs
x
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(fma.f64 1/2 (*.f64 x x) x)
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/8 (pow.f64 x 4)) x))
(fma.f64 1/2 (*.f64 x x) (fma.f64 -1/8 (pow.f64 x 4) x))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/8 (pow.f64 x 4)) (+.f64 (*.f64 -1/16 (pow.f64 x 5)) x)))
(fma.f64 1/2 (*.f64 x x) (fma.f64 -1/8 (pow.f64 x 4) (fma.f64 -1/16 (pow.f64 x 5) x)))
(/.f64 4 x)
(+.f64 (.f64 8 (/.f64 1 (pow.f64 x 2))) (.f64 4 (/.f64 1 x)))
(+.f64 (/.f64 8 (*.f64 x x)) (/.f64 4 x))
(-.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 2))) (.f64 4 (/.f64 1 x))) (*.f64 32 (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 8 (*.f64 x x)) (-.f64 (/.f64 4 x) (/.f64 32 (pow.f64 x 4))))
(+.f64 (/.f64 8 (*.f64 x x)) (+.f64 (/.f64 4 x) (/.f64 -32 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 2))) (.f64 4 (/.f64 1 x))) (+.f64 (.f64 64 (/.f64 1 (pow.f64 x 5))) (.f64 32 (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 8 (*.f64 x x)) (-.f64 (/.f64 4 x) (+.f64 (/.f64 32 (pow.f64 x 4)) (/.f64 64 (pow.f64 x 5)))))
(+.f64 (/.f64 8 (*.f64 x x)) (-.f64 (+.f64 (/.f64 4 x) (/.f64 -32 (pow.f64 x 4))) (/.f64 64 (pow.f64 x 5))))
(+.f64 (/.f64 8 (*.f64 x x)) (+.f64 (/.f64 4 x) (-.f64 (/.f64 -32 (pow.f64 x 4)) (/.f64 64 (pow.f64 x 5)))))
(/.f64 4 x)
(+.f64 (.f64 8 (/.f64 1 (pow.f64 x 2))) (.f64 4 (/.f64 1 x)))
(+.f64 (/.f64 8 (*.f64 x x)) (/.f64 4 x))
(-.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 2))) (.f64 4 (/.f64 1 x))) (*.f64 32 (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 8 (*.f64 x x)) (-.f64 (/.f64 4 x) (/.f64 32 (pow.f64 x 4))))
(+.f64 (/.f64 8 (*.f64 x x)) (+.f64 (/.f64 4 x) (/.f64 -32 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 2))) (.f64 4 (/.f64 1 x))) (+.f64 (.f64 64 (/.f64 1 (pow.f64 x 5))) (.f64 32 (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 8 (*.f64 x x)) (-.f64 (/.f64 4 x) (+.f64 (/.f64 32 (pow.f64 x 4)) (/.f64 64 (pow.f64 x 5)))))
(+.f64 (/.f64 8 (*.f64 x x)) (-.f64 (+.f64 (/.f64 4 x) (/.f64 -32 (pow.f64 x 4))) (/.f64 64 (pow.f64 x 5))))
(+.f64 (/.f64 8 (*.f64 x x)) (+.f64 (/.f64 4 x) (-.f64 (/.f64 -32 (pow.f64 x 4)) (/.f64 64 (pow.f64 x 5)))))
(/.f64 1 x)
(*.f64 1/4 x)
(*.f64 x 1/4)
(*.f64 1/4 x)
(*.f64 x 1/4)
(+.f64 (.f64 (/.f64 1 (+.f64 (pow.f64 (fma.f64 x 1/4 (/.f64 1 x)) 2) -1/4)) (/.f64 1 x)) (.f64 (/.f64 1 (+.f64 (pow.f64 (fma.f64 x 1/4 (/.f64 1 x)) 2) -1/4)) (+.f64 (*.f64 x 1/4) 1/2)))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (fma.f64 x 1/4 (/.f64 1 x)) 2) -1/4)) (+.f64 (/.f64 1 x) (fma.f64 x 1/4 1/2)))
(/.f64 (+.f64 (/.f64 1 x) (fma.f64 x 1/4 1/2)) (+.f64 (pow.f64 (fma.f64 x 1/4 (/.f64 1 x)) 2) -1/4))
(+.f64 (.f64 (/.f64 1 (+.f64 (pow.f64 (fma.f64 x 1/4 (/.f64 1 x)) 2) -1/4)) (.f64 x 1/4)) (*.f64 (/.f64 1 (+.f64 (pow.f64 (fma.f64 x 1/4 (/.f64 1 x)) 2) -1/4)) (+.f64 (/.f64 1 x) 1/2)))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (fma.f64 x 1/4 (/.f64 1 x)) 2) -1/4)) (+.f64 (/.f64 1 x) (fma.f64 x 1/4 1/2)))
(/.f64 (+.f64 (/.f64 1 x) (fma.f64 x 1/4 1/2)) (+.f64 (pow.f64 (fma.f64 x 1/4 (/.f64 1 x)) 2) -1/4))
(+.f64 (.f64 (/.f64 1 (+.f64 (pow.f64 (fma.f64 x 1/4 (/.f64 1 x)) 2) -1/4)) (fma.f64 x 1/4 (/.f64 1 x))) (.f64 (/.f64 1 (+.f64 (pow.f64 (fma.f64 x 1/4 (/.f64 1 x)) 2) -1/4)) 1/2))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (fma.f64 x 1/4 (/.f64 1 x)) 2) -1/4)) (+.f64 (/.f64 1 x) (fma.f64 x 1/4 1/2)))
(/.f64 (+.f64 (/.f64 1 x) (fma.f64 x 1/4 1/2)) (+.f64 (pow.f64 (fma.f64 x 1/4 (/.f64 1 x)) 2) -1/4))
(+.f64 (.f64 (/.f64 1 (+.f64 (pow.f64 (fma.f64 x 1/4 (/.f64 1 x)) 2) -1/4)) 1/2) (.f64 (/.f64 1 (+.f64 (pow.f64 (fma.f64 x 1/4 (/.f64 1 x)) 2) -1/4)) (fma.f64 x 1/4 (/.f64 1 x))))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (fma.f64 x 1/4 (/.f64 1 x)) 2) -1/4)) (+.f64 (/.f64 1 x) (fma.f64 x 1/4 1/2)))
(/.f64 (+.f64 (/.f64 1 x) (fma.f64 x 1/4 1/2)) (+.f64 (pow.f64 (fma.f64 x 1/4 (/.f64 1 x)) 2) -1/4))
(+.f64 (.f64 (/.f64 1 (+.f64 (pow.f64 (fma.f64 x 1/4 (/.f64 1 x)) 3) -1/8)) (pow.f64 (fma.f64 x 1/4 (/.f64 1 x)) 2)) (.f64 (/.f64 1 (+.f64 (pow.f64 (fma.f64 x 1/4 (/.f64 1 x)) 3) -1/8)) (+.f64 1/4 (*.f64 (fma.f64 x 1/4 (/.f64 1 x)) 1/2))))
(*.f64 (/.f64 1 (+.f64 -1/8 (pow.f64 (fma.f64 x 1/4 (/.f64 1 x)) 3))) (+.f64 1/4 (fma.f64 (fma.f64 x 1/4 (/.f64 1 x)) 1/2 (pow.f64 (fma.f64 x 1/4 (/.f64 1 x)) 2))))
(/.f64 (+.f64 1/4 (*.f64 (fma.f64 x 1/4 (/.f64 1 x)) (+.f64 (/.f64 1 x) (fma.f64 x 1/4 1/2)))) (+.f64 -1/8 (pow.f64 (fma.f64 x 1/4 (/.f64 1 x)) 3)))
(+.f64 (.f64 (/.f64 1 (+.f64 (pow.f64 (fma.f64 x 1/4 (/.f64 1 x)) 3) -1/8)) (+.f64 1/4 (.f64 (fma.f64 x 1/4 (/.f64 1 x)) 1/2))) (*.f64 (/.f64 1 (+.f64 (pow.f64 (fma.f64 x 1/4 (/.f64 1 x)) 3) -1/8)) (pow.f64 (fma.f64 x 1/4 (/.f64 1 x)) 2)))
(*.f64 (/.f64 1 (+.f64 -1/8 (pow.f64 (fma.f64 x 1/4 (/.f64 1 x)) 3))) (+.f64 1/4 (fma.f64 (fma.f64 x 1/4 (/.f64 1 x)) 1/2 (pow.f64 (fma.f64 x 1/4 (/.f64 1 x)) 2))))
(/.f64 (+.f64 1/4 (*.f64 (fma.f64 x 1/4 (/.f64 1 x)) (+.f64 (/.f64 1 x) (fma.f64 x 1/4 1/2)))) (+.f64 -1/8 (pow.f64 (fma.f64 x 1/4 (/.f64 1 x)) 3)))
(+.f64 (.f64 (/.f64 1 (+.f64 (pow.f64 (fma.f64 x 1/4 (/.f64 1 x)) 3) -1/8)) (+.f64 1/4 (pow.f64 (fma.f64 x 1/4 (/.f64 1 x)) 2))) (.f64 (/.f64 1 (+.f64 (pow.f64 (fma.f64 x 1/4 (/.f64 1 x)) 3) -1/8)) (*.f64 (fma.f64 x 1/4 (/.f64 1 x)) 1/2)))
(*.f64 (/.f64 1 (+.f64 -1/8 (pow.f64 (fma.f64 x 1/4 (/.f64 1 x)) 3))) (+.f64 1/4 (fma.f64 (fma.f64 x 1/4 (/.f64 1 x)) 1/2 (pow.f64 (fma.f64 x 1/4 (/.f64 1 x)) 2))))
(/.f64 (+.f64 1/4 (*.f64 (fma.f64 x 1/4 (/.f64 1 x)) (+.f64 (/.f64 1 x) (fma.f64 x 1/4 1/2)))) (+.f64 -1/8 (pow.f64 (fma.f64 x 1/4 (/.f64 1 x)) 3)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 1 x) (fma.f64 x 1/4 -1/2))))) 1)
(/.f64 1 (+.f64 (/.f64 1 x) (fma.f64 x 1/4 -1/2)))
(*.f64 1 (/.f64 1 (+.f64 (/.f64 1 x) (fma.f64 x 1/4 -1/2))))
(/.f64 1 (+.f64 (/.f64 1 x) (fma.f64 x 1/4 -1/2)))
(*.f64 (/.f64 1 (+.f64 (/.f64 1 x) (fma.f64 x 1/4 -1/2))) 1)
(/.f64 1 (+.f64 (/.f64 1 x) (fma.f64 x 1/4 -1/2)))
(*.f64 (pow.f64 (+.f64 (/.f64 1 x) (fma.f64 x 1/4 -1/2)) -1/2) (pow.f64 (+.f64 (/.f64 1 x) (fma.f64 x 1/4 -1/2)) -1/2))
(/.f64 1 (+.f64 (/.f64 1 x) (fma.f64 x 1/4 -1/2)))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 (/.f64 1 x) (fma.f64 x 1/4 -1/2)))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 1 x) (fma.f64 x 1/4 -1/2)) -2)))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 1 x) (fma.f64 x 1/4 -1/2)) -2)) (cbrt.f64 (+.f64 (/.f64 1 x) (fma.f64 x 1/4 -1/2))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 1 x) (fma.f64 x 1/4 -1/2)) -2)) (/.f64 1 (cbrt.f64 (+.f64 (/.f64 1 x) (fma.f64 x 1/4 -1/2)))))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 (/.f64 1 x) (fma.f64 x 1/4 -1/2)))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 1 x) (fma.f64 x 1/4 -1/2)) -2)))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 1 x) (fma.f64 x 1/4 -1/2)) -2)) (cbrt.f64 (+.f64 (/.f64 1 x) (fma.f64 x 1/4 -1/2))))
(*.f64 (+.f64 (fma.f64 x 1/4 (/.f64 1 x)) 1/2) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x 1/4 (/.f64 1 x)) 2) -1/4)))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (fma.f64 x 1/4 (/.f64 1 x)) 2) -1/4)) (+.f64 (/.f64 1 x) (fma.f64 x 1/4 1/2)))
(/.f64 (+.f64 (/.f64 1 x) (fma.f64 x 1/4 1/2)) (+.f64 (pow.f64 (fma.f64 x 1/4 (/.f64 1 x)) 2) -1/4))
(.f64 (+.f64 1/4 (+.f64 (.f64 (fma.f64 x 1/4 (/.f64 1 x)) 1/2) (pow.f64 (fma.f64 x 1/4 (/.f64 1 x)) 2))) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x 1/4 (/.f64 1 x)) 3) -1/8)))
(*.f64 (/.f64 1 (+.f64 -1/8 (pow.f64 (fma.f64 x 1/4 (/.f64 1 x)) 3))) (+.f64 1/4 (fma.f64 (fma.f64 x 1/4 (/.f64 1 x)) 1/2 (pow.f64 (fma.f64 x 1/4 (/.f64 1 x)) 2))))
(/.f64 (+.f64 1/4 (*.f64 (fma.f64 x 1/4 (/.f64 1 x)) (+.f64 (/.f64 1 x) (fma.f64 x 1/4 1/2)))) (+.f64 -1/8 (pow.f64 (fma.f64 x 1/4 (/.f64 1 x)) 3)))
(*.f64 -1 (/.f64 -1 (+.f64 (/.f64 1 x) (fma.f64 x 1/4 -1/2))))
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(/.f64 (.f64 1 (neg.f64 (-.f64 (pow.f64 x -2) (.f64 1/16 (.f64 x x))))) (neg.f64 (+.f64 (/.f64 1 x) (.f64 x -1/4))))
(-.f64 (/.f64 (pow.f64 x -2) (+.f64 (/.f64 1 x) (.f64 x -1/4))) (.f64 (/.f64 1/16 (+.f64 (/.f64 1 x) (.f64 x -1/4))) (.f64 x x)))
(/.f64 (+.f64 (pow.f64 x -2) (.f64 -1/16 (.f64 x x))) (fma.f64 x -1/4 (/.f64 1 x)))
(/.f64 (.f64 1 (neg.f64 (+.f64 (pow.f64 x -3) (.f64 1/64 (pow.f64 x 3))))) (neg.f64 (-.f64 (.f64 1/16 (.f64 x x)) (-.f64 (*.f64 x (/.f64 1/4 x)) (pow.f64 x -2)))))
(/.f64 (+.f64 (pow.f64 x -3) (.f64 1/64 (pow.f64 x 3))) (+.f64 (-.f64 (.f64 1/16 (.f64 x x)) (.f64 x (/.f64 1/4 x))) (pow.f64 x -2)))
(/.f64 (fma.f64 1/64 (pow.f64 x 3) (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (.f64 x (-.f64 (.f64 x 1/16) (/.f64 1/4 x)))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 x 1/4 (/.f64 1 x))) (sqrt.f64 (-.f64 (pow.f64 x -2) (.f64 1/16 (.f64 x x))))) (sqrt.f64 (+.f64 (/.f64 1 x) (.f64 x -1/4))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x -2) (.f64 -1/16 (.f64 x x)))) (/.f64 (sqrt.f64 (+.f64 (/.f64 1 x) (*.f64 x -1/4))) (sqrt.f64 (fma.f64 x 1/4 (/.f64 1 x)))))
(.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 x -2) (.f64 -1/16 (*.f64 x x)))) (sqrt.f64 (fma.f64 x -1/4 (/.f64 1 x)))) (sqrt.f64 (fma.f64 x 1/4 (/.f64 1 x))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 x 1/4 (/.f64 1 x))) (sqrt.f64 (+.f64 (pow.f64 x -3) (.f64 1/64 (pow.f64 x 3))))) (sqrt.f64 (-.f64 (.f64 1/16 (.f64 x x)) (-.f64 (*.f64 x (/.f64 1/4 x)) (pow.f64 x -2)))))
(/.f64 (sqrt.f64 (fma.f64 x 1/4 (/.f64 1 x))) (/.f64 (sqrt.f64 (+.f64 (-.f64 (.f64 1/16 (.f64 x x)) (.f64 x (/.f64 1/4 x))) (pow.f64 x -2))) (sqrt.f64 (+.f64 (pow.f64 x -3) (.f64 1/64 (pow.f64 x 3))))))
(.f64 (/.f64 (sqrt.f64 (fma.f64 x 1/4 (/.f64 1 x))) (sqrt.f64 (+.f64 (pow.f64 x -2) (.f64 x (-.f64 (*.f64 x 1/16) (/.f64 1/4 x)))))) (sqrt.f64 (fma.f64 1/64 (pow.f64 x 3) (pow.f64 x -3))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/4 (/.f64 1 x))) 2) (cbrt.f64 (-.f64 (pow.f64 x -2) (.f64 1/16 (.f64 x x))))) (cbrt.f64 (+.f64 (/.f64 1 x) (.f64 x -1/4))))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/4 (/.f64 1 x))) 2) (/.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (.f64 x -1/4))) (cbrt.f64 (+.f64 (pow.f64 x -2) (.f64 -1/16 (*.f64 x x))))))
(.f64 (/.f64 (cbrt.f64 (+.f64 (pow.f64 x -2) (.f64 -1/16 (*.f64 x x)))) (cbrt.f64 (fma.f64 x -1/4 (/.f64 1 x)))) (pow.f64 (cbrt.f64 (fma.f64 x 1/4 (/.f64 1 x))) 2))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/4 (/.f64 1 x))) 2) (cbrt.f64 (+.f64 (pow.f64 x -3) (.f64 1/64 (pow.f64 x 3))))) (cbrt.f64 (-.f64 (.f64 1/16 (.f64 x x)) (-.f64 (*.f64 x (/.f64 1/4 x)) (pow.f64 x -2)))))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/4 (/.f64 1 x))) 2) (/.f64 (cbrt.f64 (+.f64 (-.f64 (.f64 1/16 (.f64 x x)) (.f64 x (/.f64 1/4 x))) (pow.f64 x -2))) (cbrt.f64 (+.f64 (pow.f64 x -3) (.f64 1/64 (pow.f64 x 3))))))
(.f64 (/.f64 (cbrt.f64 (fma.f64 1/64 (pow.f64 x 3) (pow.f64 x -3))) (cbrt.f64 (+.f64 (pow.f64 x -2) (.f64 x (-.f64 (*.f64 x 1/16) (/.f64 1/4 x)))))) (pow.f64 (cbrt.f64 (fma.f64 x 1/4 (/.f64 1 x))) 2))
(/.f64 (.f64 (-.f64 (.f64 1/16 (.f64 x x)) (pow.f64 x -2)) 1) (-.f64 (.f64 x 1/4) (/.f64 1 x)))
(-.f64 (/.f64 (pow.f64 x -2) (+.f64 (/.f64 1 x) (.f64 x -1/4))) (.f64 (/.f64 1/16 (+.f64 (/.f64 1 x) (.f64 x -1/4))) (.f64 x x)))
(/.f64 (+.f64 (pow.f64 x -2) (.f64 -1/16 (.f64 x x))) (fma.f64 x -1/4 (/.f64 1 x)))
(/.f64 (.f64 (neg.f64 (-.f64 (pow.f64 x -2) (.f64 1/16 (.f64 x x)))) 1) (neg.f64 (+.f64 (/.f64 1 x) (.f64 x -1/4))))
(-.f64 (/.f64 (pow.f64 x -2) (+.f64 (/.f64 1 x) (.f64 x -1/4))) (.f64 (/.f64 1/16 (+.f64 (/.f64 1 x) (.f64 x -1/4))) (.f64 x x)))
(/.f64 (+.f64 (pow.f64 x -2) (.f64 -1/16 (.f64 x x))) (fma.f64 x -1/4 (/.f64 1 x)))
(/.f64 (.f64 (neg.f64 (+.f64 (pow.f64 x -3) (.f64 1/64 (pow.f64 x 3)))) 1) (neg.f64 (-.f64 (.f64 1/16 (.f64 x x)) (-.f64 (*.f64 x (/.f64 1/4 x)) (pow.f64 x -2)))))
(/.f64 (+.f64 (pow.f64 x -3) (.f64 1/64 (pow.f64 x 3))) (+.f64 (-.f64 (.f64 1/16 (.f64 x x)) (.f64 x (/.f64 1/4 x))) (pow.f64 x -2)))
(/.f64 (fma.f64 1/64 (pow.f64 x 3) (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (.f64 x (-.f64 (.f64 x 1/16) (/.f64 1/4 x)))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (pow.f64 x -2) (.f64 1/16 (.f64 x x)))) (sqrt.f64 (fma.f64 x 1/4 (/.f64 1 x)))) (sqrt.f64 (+.f64 (/.f64 1 x) (.f64 x -1/4))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x -2) (.f64 -1/16 (.f64 x x)))) (/.f64 (sqrt.f64 (+.f64 (/.f64 1 x) (*.f64 x -1/4))) (sqrt.f64 (fma.f64 x 1/4 (/.f64 1 x)))))
(.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 x -2) (.f64 -1/16 (*.f64 x x)))) (sqrt.f64 (fma.f64 x -1/4 (/.f64 1 x)))) (sqrt.f64 (fma.f64 x 1/4 (/.f64 1 x))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 x -3) (.f64 1/64 (pow.f64 x 3)))) (sqrt.f64 (fma.f64 x 1/4 (/.f64 1 x)))) (sqrt.f64 (-.f64 (.f64 1/16 (.f64 x x)) (-.f64 (*.f64 x (/.f64 1/4 x)) (pow.f64 x -2)))))
(/.f64 (sqrt.f64 (fma.f64 x 1/4 (/.f64 1 x))) (/.f64 (sqrt.f64 (+.f64 (-.f64 (.f64 1/16 (.f64 x x)) (.f64 x (/.f64 1/4 x))) (pow.f64 x -2))) (sqrt.f64 (+.f64 (pow.f64 x -3) (.f64 1/64 (pow.f64 x 3))))))
(.f64 (/.f64 (sqrt.f64 (fma.f64 x 1/4 (/.f64 1 x))) (sqrt.f64 (+.f64 (pow.f64 x -2) (.f64 x (-.f64 (*.f64 x 1/16) (/.f64 1/4 x)))))) (sqrt.f64 (fma.f64 1/64 (pow.f64 x 3) (pow.f64 x -3))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 x -2) (.f64 1/16 (.f64 x x)))) (pow.f64 (cbrt.f64 (fma.f64 x 1/4 (/.f64 1 x))) 2)) (cbrt.f64 (+.f64 (/.f64 1 x) (.f64 x -1/4))))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/4 (/.f64 1 x))) 2) (/.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (.f64 x -1/4))) (cbrt.f64 (+.f64 (pow.f64 x -2) (.f64 -1/16 (*.f64 x x))))))
(.f64 (/.f64 (cbrt.f64 (+.f64 (pow.f64 x -2) (.f64 -1/16 (*.f64 x x)))) (cbrt.f64 (fma.f64 x -1/4 (/.f64 1 x)))) (pow.f64 (cbrt.f64 (fma.f64 x 1/4 (/.f64 1 x))) 2))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 x -3) (.f64 1/64 (pow.f64 x 3)))) (pow.f64 (cbrt.f64 (fma.f64 x 1/4 (/.f64 1 x))) 2)) (cbrt.f64 (-.f64 (.f64 1/16 (.f64 x x)) (-.f64 (*.f64 x (/.f64 1/4 x)) (pow.f64 x -2)))))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/4 (/.f64 1 x))) 2) (/.f64 (cbrt.f64 (+.f64 (-.f64 (.f64 1/16 (.f64 x x)) (.f64 x (/.f64 1/4 x))) (pow.f64 x -2))) (cbrt.f64 (+.f64 (pow.f64 x -3) (.f64 1/64 (pow.f64 x 3))))))
(.f64 (/.f64 (cbrt.f64 (fma.f64 1/64 (pow.f64 x 3) (pow.f64 x -3))) (cbrt.f64 (+.f64 (pow.f64 x -2) (.f64 x (-.f64 (*.f64 x 1/16) (/.f64 1/4 x)))))) (pow.f64 (cbrt.f64 (fma.f64 x 1/4 (/.f64 1 x))) 2))
(/.f64 (.f64 (-.f64 (/.f64 (pow.f64 x -3) x) (.f64 (.f64 1/16 (.f64 x x)) (.f64 1/16 (.f64 x x)))) (/.f64 1 (+.f64 (/.f64 1 x) (.f64 x -1/4)))) (+.f64 (pow.f64 x -2) (.f64 1/16 (*.f64 x x))))
(/.f64 (-.f64 (/.f64 (pow.f64 x -3) x) (.f64 1/256 (pow.f64 x 4))) (.f64 (+.f64 (/.f64 1 x) (.f64 x -1/4)) (+.f64 (pow.f64 x -2) (.f64 1/16 (*.f64 x x)))))
(/.f64 (+.f64 (/.f64 (pow.f64 x -3) x) (.f64 -1/256 (pow.f64 x 4))) (.f64 (fma.f64 x -1/4 (/.f64 1 x)) (fma.f64 1/16 (*.f64 x x) (pow.f64 x -2))))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 x -2) 3) (pow.f64 (.f64 1/16 (.f64 x x)) 3)) (/.f64 1 (+.f64 (/.f64 1 x) (.f64 x -1/4)))) (+.f64 (+.f64 (/.f64 (pow.f64 x -3) x) (.f64 (.f64 1/16 (.f64 x x)) (.f64 1/16 (.f64 x x)))) (.f64 (pow.f64 x -2) (.f64 1/16 (.f64 x x)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 x -2) 3) (.f64 1/4096 (pow.f64 (.f64 x x) 3))) (.f64 (+.f64 (/.f64 1 x) (.f64 x -1/4)) (+.f64 (/.f64 (pow.f64 x -3) x) (+.f64 (.f64 1/256 (pow.f64 x 4)) (.f64 (pow.f64 x -2) (.f64 1/16 (.f64 x x)))))))
(/.f64 (+.f64 (pow.f64 (pow.f64 x -2) 3) (.f64 -1/4096 (pow.f64 x 6))) (.f64 (fma.f64 x -1/4 (/.f64 1 x)) (fma.f64 (pow.f64 x -2) (.f64 x (.f64 x 1/16)) (fma.f64 1/256 (pow.f64 x 4) (/.f64 (pow.f64 x -3) x)))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 x -3) (pow.f64 x -3)) (.f64 (.f64 1/64 (pow.f64 x 3)) (.f64 1/64 (pow.f64 x 3)))) (/.f64 1 (-.f64 (.f64 1/16 (.f64 x x)) (-.f64 (.f64 x (/.f64 1/4 x)) (pow.f64 x -2))))) (-.f64 (pow.f64 x -3) (*.f64 1/64 (pow.f64 x 3))))
(/.f64 (-.f64 (pow.f64 x -6) (.f64 1/4096 (.f64 (pow.f64 x 3) (pow.f64 x 3)))) (.f64 (+.f64 (-.f64 (.f64 1/16 (.f64 x x)) (.f64 x (/.f64 1/4 x))) (pow.f64 x -2)) (+.f64 (pow.f64 x -3) (*.f64 -1/64 (pow.f64 x 3)))))
(/.f64 (+.f64 (pow.f64 x -6) (.f64 -1/4096 (pow.f64 x 6))) (.f64 (+.f64 (pow.f64 x -2) (.f64 x (-.f64 (.f64 x 1/16) (/.f64 1/4 x)))) (+.f64 (pow.f64 x -3) (*.f64 (pow.f64 x 3) -1/64))))
(/.f64 (.f64 (+.f64 (pow.f64 (pow.f64 x -3) 3) (pow.f64 (.f64 1/64 (pow.f64 x 3)) 3)) (/.f64 1 (-.f64 (.f64 1/16 (.f64 x x)) (-.f64 (.f64 x (/.f64 1/4 x)) (pow.f64 x -2))))) (-.f64 (+.f64 (.f64 (pow.f64 x -3) (pow.f64 x -3)) (.f64 (.f64 1/64 (pow.f64 x 3)) (.f64 1/64 (pow.f64 x 3)))) (.f64 (pow.f64 x -3) (*.f64 1/64 (pow.f64 x 3)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 x -3) 3) (.f64 1/262144 (pow.f64 (pow.f64 x 3) 3))) (.f64 (+.f64 (-.f64 (.f64 1/16 (.f64 x x)) (.f64 x (/.f64 1/4 x))) (pow.f64 x -2)) (-.f64 (+.f64 (pow.f64 x -6) (.f64 1/4096 (.f64 (pow.f64 x 3) (pow.f64 x 3)))) (.f64 (pow.f64 x -3) (*.f64 1/64 (pow.f64 x 3))))))
(/.f64 (/.f64 (fma.f64 1/262144 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 x -3) 3)) (+.f64 (fma.f64 1/4096 (pow.f64 x 6) (pow.f64 x -6)) (.f64 (pow.f64 x -3) (.f64 (pow.f64 x 3) -1/64)))) (+.f64 (pow.f64 x -2) (.f64 x (-.f64 (.f64 x 1/16) (/.f64 1/4 x)))))
(/.f64 (/.f64 (-.f64 (pow.f64 x -2) (.f64 1/16 (.f64 x x))) 1) (+.f64 (/.f64 1 x) (*.f64 x -1/4)))
(-.f64 (/.f64 (pow.f64 x -2) (+.f64 (/.f64 1 x) (.f64 x -1/4))) (.f64 (/.f64 1/16 (+.f64 (/.f64 1 x) (.f64 x -1/4))) (.f64 x x)))
(/.f64 (+.f64 (pow.f64 x -2) (.f64 -1/16 (.f64 x x))) (fma.f64 x -1/4 (/.f64 1 x)))
(/.f64 (/.f64 (-.f64 (pow.f64 x -2) (.f64 1/16 (.f64 x x))) (sqrt.f64 (+.f64 (/.f64 1 x) (.f64 x -1/4)))) (sqrt.f64 (+.f64 (/.f64 1 x) (.f64 x -1/4))))
(-.f64 (/.f64 (pow.f64 x -2) (+.f64 (/.f64 1 x) (.f64 x -1/4))) (.f64 (/.f64 1/16 (+.f64 (/.f64 1 x) (.f64 x -1/4))) (.f64 x x)))
(/.f64 (+.f64 (pow.f64 x -2) (.f64 -1/16 (.f64 x x))) (fma.f64 x -1/4 (/.f64 1 x)))
(/.f64 (/.f64 (-.f64 (pow.f64 x -2) (.f64 1/16 (.f64 x x))) (.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (.f64 x -1/4))) (cbrt.f64 (+.f64 (/.f64 1 x) (.f64 x -1/4))))) (cbrt.f64 (+.f64 (/.f64 1 x) (.f64 x -1/4))))
(-.f64 (/.f64 (pow.f64 x -2) (+.f64 (/.f64 1 x) (.f64 x -1/4))) (.f64 (/.f64 1/16 (+.f64 (/.f64 1 x) (.f64 x -1/4))) (.f64 x x)))
(/.f64 (+.f64 (pow.f64 x -2) (.f64 -1/16 (.f64 x x))) (fma.f64 x -1/4 (/.f64 1 x)))
(/.f64 (/.f64 (-.f64 (pow.f64 x -2) (.f64 1/16 (.f64 x x))) (+.f64 (pow.f64 x -1/2) (.f64 1/2 (sqrt.f64 x)))) (-.f64 (pow.f64 x -1/2) (.f64 1/2 (sqrt.f64 x))))
(/.f64 (+.f64 (pow.f64 x -2) (.f64 -1/16 (.f64 x x))) (.f64 (+.f64 (pow.f64 x -1/2) (.f64 -1/2 (sqrt.f64 x))) (+.f64 (pow.f64 x -1/2) (*.f64 1/2 (sqrt.f64 x)))))
(/.f64 (+.f64 (pow.f64 x -2) (.f64 -1/16 (.f64 x x))) (.f64 (fma.f64 1/2 (sqrt.f64 x) (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) (.f64 -1/2 (sqrt.f64 x)))))
(/.f64 (/.f64 (+.f64 (pow.f64 x -3) (.f64 1/64 (pow.f64 x 3))) 1) (-.f64 (.f64 1/16 (.f64 x x)) (-.f64 (.f64 x (/.f64 1/4 x)) (pow.f64 x -2))))
(/.f64 (+.f64 (pow.f64 x -3) (.f64 1/64 (pow.f64 x 3))) (+.f64 (-.f64 (.f64 1/16 (.f64 x x)) (.f64 x (/.f64 1/4 x))) (pow.f64 x -2)))
(/.f64 (fma.f64 1/64 (pow.f64 x 3) (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (.f64 x (-.f64 (.f64 x 1/16) (/.f64 1/4 x)))))
(/.f64 (/.f64 (+.f64 (pow.f64 x -3) (.f64 1/64 (pow.f64 x 3))) (sqrt.f64 (-.f64 (.f64 1/16 (.f64 x x)) (-.f64 (.f64 x (/.f64 1/4 x)) (pow.f64 x -2))))) (sqrt.f64 (-.f64 (.f64 1/16 (.f64 x x)) (-.f64 (*.f64 x (/.f64 1/4 x)) (pow.f64 x -2)))))
(/.f64 (+.f64 (pow.f64 x -3) (.f64 1/64 (pow.f64 x 3))) (+.f64 (-.f64 (.f64 1/16 (.f64 x x)) (.f64 x (/.f64 1/4 x))) (pow.f64 x -2)))
(/.f64 (fma.f64 1/64 (pow.f64 x 3) (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (.f64 x (-.f64 (.f64 x 1/16) (/.f64 1/4 x)))))
(/.f64 (/.f64 (+.f64 (pow.f64 x -3) (.f64 1/64 (pow.f64 x 3))) (.f64 (cbrt.f64 (-.f64 (.f64 1/16 (.f64 x x)) (-.f64 (.f64 x (/.f64 1/4 x)) (pow.f64 x -2)))) (cbrt.f64 (-.f64 (.f64 1/16 (.f64 x x)) (-.f64 (.f64 x (/.f64 1/4 x)) (pow.f64 x -2)))))) (cbrt.f64 (-.f64 (.f64 1/16 (.f64 x x)) (-.f64 (*.f64 x (/.f64 1/4 x)) (pow.f64 x -2)))))
(/.f64 (+.f64 (pow.f64 x -3) (.f64 1/64 (pow.f64 x 3))) (+.f64 (-.f64 (.f64 1/16 (.f64 x x)) (.f64 x (/.f64 1/4 x))) (pow.f64 x -2)))
(/.f64 (fma.f64 1/64 (pow.f64 x 3) (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (.f64 x (-.f64 (.f64 x 1/16) (/.f64 1/4 x)))))
(pow.f64 (fma.f64 x 1/4 (/.f64 1 x)) 1)
(fma.f64 x 1/4 (/.f64 1 x))
(pow.f64 (sqrt.f64 (fma.f64 x 1/4 (/.f64 1 x))) 2)
(fma.f64 x 1/4 (/.f64 1 x))
(pow.f64 (cbrt.f64 (fma.f64 x 1/4 (/.f64 1 x))) 3)
(fma.f64 x 1/4 (/.f64 1 x))
(pow.f64 (pow.f64 (fma.f64 x 1/4 (/.f64 1 x)) 3) 1/3)
(fma.f64 x 1/4 (/.f64 1 x))
(sqrt.f64 (pow.f64 (fma.f64 x 1/4 (/.f64 1 x)) 2))
(fabs.f64 (fma.f64 x 1/4 (/.f64 1 x)))
(log.f64 (exp.f64 (fma.f64 x 1/4 (/.f64 1 x))))
(fma.f64 x 1/4 (/.f64 1 x))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 1/4 (/.f64 1 x)))))
(fma.f64 x 1/4 (/.f64 1 x))
(cbrt.f64 (pow.f64 (fma.f64 x 1/4 (/.f64 1 x)) 3))
(fma.f64 x 1/4 (/.f64 1 x))
(expm1.f64 (log1p.f64 (fma.f64 x 1/4 (/.f64 1 x))))
(fma.f64 x 1/4 (/.f64 1 x))
(exp.f64 (log.f64 (fma.f64 x 1/4 (/.f64 1 x))))
(fma.f64 x 1/4 (/.f64 1 x))
(log1p.f64 (expm1.f64 (fma.f64 x 1/4 (/.f64 1 x))))
(fma.f64 x 1/4 (/.f64 1 x))
(fma.f64 1 (/.f64 1 x) (*.f64 x 1/4))
(fma.f64 x 1/4 (/.f64 1 x))
(fma.f64 1 (*.f64 x 1/4) (/.f64 1 x))
(fma.f64 x 1/4 (/.f64 1 x))
(fma.f64 x 1/4 (/.f64 1 x))
(fma.f64 1/4 x (/.f64 1 x))
(fma.f64 x 1/4 (/.f64 1 x))
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (*.f64 x 1/4))
(fma.f64 x 1/4 (/.f64 1 x))
(fma.f64 (.f64 1/2 (sqrt.f64 x)) (.f64 1/2 (sqrt.f64 x)) (/.f64 1 x))
(+.f64 (/.f64 1 x) (.f64 1/4 (.f64 (sqrt.f64 x) (sqrt.f64 x))))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) (*.f64 x 1/4))
(fma.f64 (cbrt.f64 (.f64 1/16 (.f64 x x))) (cbrt.f64 (*.f64 x 1/4)) (/.f64 1 x))
(fma.f64 (cbrt.f64 (.f64 x (.f64 x 1/16))) (cbrt.f64 (*.f64 x 1/4)) (/.f64 1 x))

localize18.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.01%	(+.f64 x (+.f64 (/.f64 1/2 x) x))
✓	0.01%	(log.f64 (+.f64 x (+.f64 (/.f64 1/2 x) x)))
✓	0.02%	(+.f64 (/.f64 1/2 x) x)

Compiler

Compiled 26 to 16 computations (38.5% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite117.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1310×	`associate-*r/`
960×	`associate-*l/`
930×	`*-commutative`
682×	`distribute-lft-in`
654×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	55
1	201	55
2	2785	55

Stop Event

1×	node limit

Counts

3 → 194

Calls

Call 1

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

Outputs

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x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (+.f64 x (/.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (+.f64 x (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x (/.f64 1/2 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x (/.f64 1/2 x))) (sqrt.f64 (+.f64 x (/.f64 1/2 x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 x (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 1/2 x))) 2) (cbrt.f64 (+.f64 x (/.f64 1/2 x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 x (/.f64 1/2 x)))))))

simplify172.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1524×	`associate-+l+`
666×	`associate-r`
554×	`associate-l`
522×	`fma-def`
520×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	546	10608
1	1579	9766
2	7507	9712

Stop Event

1×	node limit

Counts

230 → 349

Calls

Call 1

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

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

localize30.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.58%	(/.f64 1/4 (*.f64 x x))
✓	1.09%	(/.f64 1 (-.f64 (/.f64 1/2 x) (+.f64 1 (/.f64 1/4 (*.f64 x x)))))
✓	4.63%	(log1p.f64 (/.f64 1 (-.f64 (/.f64 1/2 x) (+.f64 1 (/.f64 1/4 (*.f64 x x))))))

Compiler

Compiled 61 to 39 computations (36.1% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(log1p.f64 (/.f64 1 (-.f64 (/.f64 1/2 x) (+.f64 1 (/.f64 1/4 (*.f64 x x))))))
0.0ms	x	@	inf	(log1p.f64 (/.f64 1 (-.f64 (/.f64 1/2 x) (+.f64 1 (/.f64 1/4 (*.f64 x x))))))
0.0ms	x	@	0	(/.f64 1/4 (*.f64 x x))
0.0ms	x	@	-inf	(log1p.f64 (/.f64 1 (-.f64 (/.f64 1/2 x) (+.f64 1 (/.f64 1/4 (*.f64 x x))))))
0.0ms	x	@	inf	(/.f64 1/4 (*.f64 x x))

rewrite95.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1434×	`associate-/r*`
684×	`associate-/l*`
618×	`associate-/r/`
458×	`associate-/l/`
314×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	91
1	314	83
2	4242	83

Stop Event

1×	node limit

Counts

3 → 108

Calls

Call 1

Inputs
(log1p.f64 (/.f64 1 (-.f64 (/.f64 1/2 x) (+.f64 1 (/.f64 1/4 (*.f64 x x))))))
(/.f64 1 (-.f64 (/.f64 1/2 x) (+.f64 1 (/.f64 1/4 (*.f64 x x)))))
(/.f64 1/4 (*.f64 x x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 1 (-.f64 (/.f64 1/2 x) (fma.f64 1/4 (pow.f64 x -2) 1)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (/.f64 1 (-.f64 (/.f64 1/2 x) (fma.f64 1/4 (pow.f64 x -2) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (/.f64 1 (-.f64 (/.f64 1/2 x) (fma.f64 1/4 (pow.f64 x -2) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (/.f64 1 (-.f64 (/.f64 1/2 x) (fma.f64 1/4 (pow.f64 x -2) 1))))) (sqrt.f64 (log1p.f64 (/.f64 1 (-.f64 (/.f64 1/2 x) (fma.f64 1/4 (pow.f64 x -2) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (/.f64 1 (-.f64 (/.f64 1/2 x) (fma.f64 1/4 (pow.f64 x -2) 1))))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 (-.f64 (/.f64 1/2 x) (fma.f64 1/4 (pow.f64 x -2) 1))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 (-.f64 (/.f64 1/2 x) (fma.f64 1/4 (pow.f64 x -2) 1))))) 2) (cbrt.f64 (log1p.f64 (/.f64 1 (-.f64 (/.f64 1/2 x) (fma.f64 1/4 (pow.f64 x -2) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (/.f64 1 (-.f64 (/.f64 1/2 x) (fma.f64 1/4 (pow.f64 x -2) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 (-.f64 (/.f64 1/2 x) (fma.f64 1/4 (pow.f64 x -2) 1))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 (-.f64 (/.f64 1/2 x) (fma.f64 1/4 (pow.f64 x -2) 1))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (/.f64 1 (-.f64 (/.f64 1/2 x) (fma.f64 1/4 (pow.f64 x -2) 1)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (/.f64 1 (-.f64 (/.f64 1/2 x) (fma.f64 1/4 (pow.f64 x -2) 1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (/.f64 1 (-.f64 (/.f64 1/2 x) (fma.f64 1/4 (pow.f64 x -2) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 (-.f64 (/.f64 1/2 x) (fma.f64 1/4 (pow.f64 x -2) 1)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (/.f64 1 (-.f64 (/.f64 1/2 x) (fma.f64 1/4 (pow.f64 x -2) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (/.f64 1 (-.f64 (/.f64 1/2 x) (fma.f64 1/4 (pow.f64 x -2) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log1p.f64 (/.f64 1 (-.f64 (/.f64 1/2 x) (fma.f64 1/4 (pow.f64 x -2) 1))))) 1))))))

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(pow.f64 (fma.f64 1/4 (pow.f64 x -2) 1) 2)))) (cbrt.f64 (+.f64 (/.f64 1/2 x) (fma.f64 1/4 (pow.f64 x -2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (/.f64 1/2 x) (fma.f64 1/4 (pow.f64 x -2) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (-.f64 (/.f64 1/2 x) (fma.f64 1/4 (pow.f64 x -2) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (/.f64 1/2 x) (fma.f64 1/4 (pow.f64 x -2) 1)) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (/.f64 1/2 x) (fma.f64 1/4 (pow.f64 x -2) 1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (pow.f64 (-.f64 (/.f64 1/2 x) (fma.f64 1/4 (pow.f64 x -2) 1)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (/.f64 1/2 x) (fma.f64 1/4 (pow.f64 x -2) 1)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (-.f64 (/.f64 1/2 x) (fma.f64 1/4 (pow.f64 x -2) 1)))))))) (#(struct:change #<rule egg-rr> (2) 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (*.f64 1/4 (pow.f64 x -2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/4 (pow.f64 x -2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 1/4 (pow.f64 x -2) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 1/4 (pow.f64 x -2) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (*.f64 1/4 (pow.f64 x -2)))) (+.f64 (/.f64 1/16 (*.f64 (-.f64 1 (*.f64 1/4 (pow.f64 x -2))) (pow.f64 x 4))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 1/4 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (/.f64 1 x) (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 x) (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (/.f64 1 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/4 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 1/2 x)) (*.f64 (sqrt.f64 (/.f64 1/2 x)) (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/16 (pow.f64 x 4))) (cbrt.f64 (*.f64 1/4 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 x -2))) (cbrt.f64 (/.f64 1/16 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 x -2))) (*.f64 (cbrt.f64 (/.f64 1/2 x)) (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/4 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 1/4 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/4 (/.f64 -1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1/2 x) (sqrt.f64 (/.f64 1/2 x))) (sqrt.f64 (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1/2 x) 1/2) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1/2 x) (cbrt.f64 (*.f64 1/4 (pow.f64 x -2)))) (cbrt.f64 (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 1/4 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (*.f64 x x)) -1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1/2 x) x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1/2 x) (sqrt.f64 x)) (/.f64 1/2 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1/2 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1/2 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1/2 x) (neg.f64 x)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/2 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/4 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 x -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) 4) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/64 (pow.f64 (pow.f64 x -2) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/16 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/4) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/4 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 1/64 (pow.f64 (pow.f64 x -2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/4 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/4 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/4 (pow.f64 x -2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/4 (pow.f64 x -2))))))))

simplify113.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1328×	`associate-+l+`
1318×	`associate-+r+`
972×	`+-commutative`
804×	`associate--r+`
558×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	377	6620
1	1166	6100
2	4792	6096

Stop Event

1×	node limit

Counts

144 → 218

Calls

Call 1

Inputs
(*.f64 -4 (pow.f64 x 2))
(+.f64 (.f64 -4 (pow.f64 x 2)) (.f64 -8 (pow.f64 x 3)))
(+.f64 (.f64 -4 (pow.f64 x 2)) (+.f64 (.f64 -8 (pow.f64 x 3)) (*.f64 -8 (pow.f64 x 4))))
(+.f64 (.f64 32/3 (pow.f64 x 6)) (+.f64 (.f64 -4 (pow.f64 x 2)) (+.f64 (.f64 -8 (pow.f64 x 3)) (.f64 -8 (pow.f64 x 4)))))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 x)))
(-.f64 (+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 x))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 x))) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(*.f64 -4 (pow.f64 x 2))
(+.f64 (.f64 -4 (pow.f64 x 2)) (.f64 -8 (pow.f64 x 3)))
(+.f64 (.f64 -4 (pow.f64 x 2)) (+.f64 (.f64 -8 (pow.f64 x 3)) (*.f64 32 (pow.f64 x 5))))
(+.f64 (.f64 -4 (pow.f64 x 2)) (+.f64 (.f64 -8 (pow.f64 x 3)) (+.f64 (.f64 32 (pow.f64 x 5)) (.f64 64 (pow.f64 x 6)))))
-1
(neg.f64 (+.f64 1 (*.f64 1/2 (/.f64 1 x))))
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 1 x)) 1))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/16 (/.f64 1 (pow.f64 x 4)))) (+.f64 (*.f64 1/2 (/.f64 1 x)) 1))
-1
(neg.f64 (+.f64 1 (*.f64 1/2 (/.f64 1 x))))
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 1 x)) 1))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/16 (/.f64 1 (pow.f64 x 4)))) (+.f64 (*.f64 1/2 (/.f64 1 x)) 1))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (pow.f64 x 2))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 1 (-.f64 (/.f64 1/2 x) (fma.f64 1/4 (pow.f64 x -2) 1)))))) 1)
(*.f64 1 (log1p.f64 (/.f64 1 (-.f64 (/.f64 1/2 x) (fma.f64 1/4 (pow.f64 x -2) 1)))))
(*.f64 (log1p.f64 (/.f64 1 (-.f64 (/.f64 1/2 x) (fma.f64 1/4 (pow.f64 x -2) 1)))) 1)
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 (-.f64 (/.f64 1/2 x) (fma.f64 1/4 (pow.f64 x -2) 1))))) (sqrt.f64 (log1p.f64 (/.f64 1 (-.f64 (/.f64 1/2 x) (fma.f64 1/4 (pow.f64 x -2) 1))))))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 1 (-.f64 (/.f64 1/2 x) (fma.f64 1/4 (pow.f64 x -2) 1))))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 (-.f64 (/.f64 1/2 x) (fma.f64 1/4 (pow.f64 x -2) 1))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 (-.f64 (/.f64 1/2 x) (fma.f64 1/4 (pow.f64 x -2) 1))))) 2) (cbrt.f64 (log1p.f64 (/.f64 1 (-.f64 (/.f64 1/2 x) (fma.f64 1/4 (pow.f64 x -2) 1))))))
(pow.f64 (log1p.f64 (/.f64 1 (-.f64 (/.f64 1/2 x) (fma.f64 1/4 (pow.f64 x -2) 1)))) 1)
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 (-.f64 (/.f64 1/2 x) (fma.f64 1/4 (pow.f64 x -2) 1))))) 2)
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 (-.f64 (/.f64 1/2 x) (fma.f64 1/4 (pow.f64 x -2) 1))))) 3)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 (-.f64 (/.f64 1/2 x) (fma.f64 1/4 (pow.f64 x -2) 1)))) 3) 1/3)
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 1 (-.f64 (/.f64 1/2 x) (fma.f64 1/4 (pow.f64 x -2) 1)))) 2))
(log.f64 (+.f64 1 (/.f64 1 (-.f64 (/.f64 1/2 x) (fma.f64 1/4 (pow.f64 x -2) 1)))))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 (-.f64 (/.f64 1/2 x) (fma.f64 1/4 (pow.f64 x -2) 1)))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 1 (-.f64 (/.f64 1/2 x) (fma.f64 1/4 (pow.f64 x -2) 1))))))
(exp.f64 (log.f64 (log1p.f64 (/.f64 1 (-.f64 (/.f64 1/2 x) (fma.f64 1/4 (pow.f64 x -2) 1))))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (/.f64 1 (-.f64 (/.f64 1/2 x) (fma.f64 1/4 (pow.f64 x -2) 1))))) 1))
(+.f64 1 (-.f64 (/.f64 1 (-.f64 (/.f64 1/2 x) (fma.f64 1/4 (pow.f64 x -2) 1))) 1))
(+.f64 (/.f64 1 (-.f64 (/.f64 1/2 x) (fma.f64 1/4 (pow.f64 x -2) 1))) 0)
(-.f64 (+.f64 1 (/.f64 1 (-.f64 (/.f64 1/2 x) (fma.f64 1/4 (pow.f64 x -2) 1)))) 1)
(*.f64 1 (/.f64 1 (-.f64 (/.f64 1/2 x) (fma.f64 1/4 (pow.f64 x -2) 1))))
(*.f64 (/.f64 1 (-.f64 (/.f64 1/2 x) (fma.f64 1/4 (pow.f64 x -2) 1))) 1)
(*.f64 (pow.f64 (-.f64 (/.f64 1/2 x) (fma.f64 1/4 (pow.f64 x -2) 1)) -1/2) (pow.f64 (-.f64 (/.f64 1/2 x) (fma.f64 1/4 (pow.f64 x -2) 1)) -1/2))
(*.f64 (/.f64 1 (cbrt.f64 (-.f64 (/.f64 1/2 x) (fma.f64 1/4 (pow.f64 x -2) 1)))) (cbrt.f64 (pow.f64 (-.f64 (/.f64 1/2 x) (fma.f64 1/4 (pow.f64 x -2) 1)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (/.f64 1/2 x) (fma.f64 1/4 (pow.f64 x -2) 1)) -2)) (/.f64 1 (cbrt.f64 (-.f64 (/.f64 1/2 x) (fma.f64 1/4 (pow.f64 x -2) 1)))))
(*.f64 -1 (/.f64 -1 (-.f64 (/.f64 1/2 x) (fma.f64 1/4 (pow.f64 x -2) 1))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 (/.f64 1/2 x) (fma.f64 1/4 (pow.f64 x -2) 1))) 2)) (/.f64 1 (cbrt.f64 (-.f64 (/.f64 1/2 x) (fma.f64 1/4 (pow.f64 x -2) 1)))))
(.f64 (/.f64 1 (-.f64 (.f64 1/4 (pow.f64 x -2)) (pow.f64 (fma.f64 1/4 (pow.f64 x -2) 1) 2))) (+.f64 (/.f64 1/2 x) (fma.f64 1/4 (pow.f64 x -2) 1)))
(.f64 (/.f64 1 (-.f64 (/.f64 1/8 (pow.f64 x 3)) (pow.f64 (fma.f64 1/4 (pow.f64 x -2) 1) 3))) (+.f64 (.f64 1/4 (pow.f64 x -2)) (*.f64 (fma.f64 1/4 (pow.f64 x -2) 1) (+.f64 (/.f64 1/2 x) (fma.f64 1/4 (pow.f64 x -2) 1)))))
(*.f64 (/.f64 -1 (-.f64 (/.f64 1/2 x) (fma.f64 1/4 (pow.f64 x -2) 1))) -1)
(*.f64 (pow.f64 (sqrt.f64 (-.f64 (/.f64 1/2 x) (fma.f64 1/4 (pow.f64 x -2) 1))) -1) (pow.f64 (sqrt.f64 (-.f64 (/.f64 1/2 x) (fma.f64 1/4 (pow.f64 x -2) 1))) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 1/2 x) (fma.f64 1/4 (pow.f64 x -2) 1))) 2) -1) (pow.f64 (cbrt.f64 (-.f64 (/.f64 1/2 x) (fma.f64 1/4 (pow.f64 x -2) 1))) -1))
(.f64 (/.f64 (+.f64 (/.f64 1/2 x) (fma.f64 1/4 (pow.f64 x -2) 1)) (-.f64 (/.f64 1/16 (pow.f64 x 4)) (.f64 (pow.f64 (fma.f64 1/4 (pow.f64 x -2) 1) 2) (pow.f64 (fma.f64 1/4 (pow.f64 x -2) 1) 2)))) (+.f64 (*.f64 1/4 (pow.f64 x -2)) (pow.f64 (fma.f64 1/4 (pow.f64 x -2) 1) 2)))
(.f64 (/.f64 (+.f64 (/.f64 1/2 x) (fma.f64 1/4 (pow.f64 x -2) 1)) (-.f64 (.f64 1/64 (pow.f64 (pow.f64 x -2) 3)) (pow.f64 (pow.f64 (fma.f64 1/4 (pow.f64 x -2) 1) 2) 3))) (+.f64 (+.f64 (/.f64 1/16 (pow.f64 x 4)) (.f64 (pow.f64 (fma.f64 1/4 (pow.f64 x -2) 1) 2) (pow.f64 (fma.f64 1/4 (pow.f64 x -2) 1) 2))) (.f64 (*.f64 1/4 (pow.f64 x -2)) (pow.f64 (fma.f64 1/4 (pow.f64 x -2) 1) 2))))
(.f64 (/.f64 1 (neg.f64 (-.f64 (.f64 1/4 (pow.f64 x -2)) (pow.f64 (fma.f64 1/4 (pow.f64 x -2) 1) 2)))) (neg.f64 (+.f64 (/.f64 1/2 x) (fma.f64 1/4 (pow.f64 x -2) 1))))
(.f64 (/.f64 1 (neg.f64 (-.f64 (/.f64 1/8 (pow.f64 x 3)) (pow.f64 (fma.f64 1/4 (pow.f64 x -2) 1) 3)))) (neg.f64 (+.f64 (.f64 1/4 (pow.f64 x -2)) (*.f64 (fma.f64 1/4 (pow.f64 x -2) 1) (+.f64 (/.f64 1/2 x) (fma.f64 1/4 (pow.f64 x -2) 1))))))
(.f64 (/.f64 (+.f64 (.f64 1/4 (pow.f64 x -2)) (.f64 (fma.f64 1/4 (pow.f64 x -2) 1) (+.f64 (/.f64 1/2 x) (fma.f64 1/4 (pow.f64 x -2) 1)))) (-.f64 (.f64 1/64 (pow.f64 (pow.f64 x -2) 3)) (*.f64 (pow.f64 (fma.f64 1/4 (pow.f64 x -2) 1) 3) (pow.f64 (fma.f64 1/4 (pow.f64 x -2) 1) 3)))) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (pow.f64 (fma.f64 1/4 (pow.f64 x -2) 1) 3)))
(.f64 (/.f64 (+.f64 (.f64 1/4 (pow.f64 x -2)) (.f64 (fma.f64 1/4 (pow.f64 x -2) 1) (+.f64 (/.f64 1/2 x) (fma.f64 1/4 (pow.f64 x -2) 1)))) (-.f64 (pow.f64 (/.f64 1/8 (pow.f64 x 3)) 3) (pow.f64 (pow.f64 (fma.f64 1/4 (pow.f64 x -2) 1) 3) 3))) (+.f64 (.f64 1/64 (pow.f64 (pow.f64 x -2) 3)) (+.f64 (.f64 (pow.f64 (fma.f64 1/4 (pow.f64 x -2) 1) 3) (pow.f64 (fma.f64 1/4 (pow.f64 x -2) 1) 3)) (.f64 (/.f64 1/8 (pow.f64 x 3)) (pow.f64 (fma.f64 1/4 (pow.f64 x -2) 1) 3)))))
(.f64 (/.f64 1 (-.f64 (.f64 1/4 (pow.f64 x -2)) (.f64 (-.f64 -1 (.f64 1/4 (pow.f64 x -2))) (-.f64 -1 (.f64 1/4 (pow.f64 x -2)))))) (-.f64 (/.f64 1/2 x) (-.f64 -1 (.f64 1/4 (pow.f64 x -2)))))
(.f64 (/.f64 1 (-.f64 (.f64 (+.f64 (/.f64 1/2 x) -1) (+.f64 (/.f64 1/2 x) -1)) (/.f64 1/16 (pow.f64 x 4)))) (+.f64 (/.f64 1/2 x) (+.f64 -1 (*.f64 1/4 (pow.f64 x -2)))))
(.f64 (/.f64 1 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (pow.f64 (-.f64 -1 (.f64 1/4 (pow.f64 x -2))) 3))) (-.f64 (+.f64 (.f64 1/4 (pow.f64 x -2)) (.f64 (-.f64 -1 (.f64 1/4 (pow.f64 x -2))) (-.f64 -1 (.f64 1/4 (pow.f64 x -2))))) (.f64 (/.f64 1/2 x) (-.f64 -1 (.f64 1/4 (pow.f64 x -2))))))
(.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 (/.f64 1/2 x) -1) 3) (.f64 1/64 (pow.f64 (pow.f64 x -2) 3)))) (+.f64 (+.f64 (.f64 (+.f64 (/.f64 1/2 x) -1) (+.f64 (/.f64 1/2 x) -1)) (/.f64 1/16 (pow.f64 x 4))) (.f64 (+.f64 (/.f64 1/2 x) -1) (*.f64 1/4 (pow.f64 x -2)))))
(.f64 (/.f64 1 (-.f64 (-.f64 1 (.f64 1/4 (pow.f64 x -2))) (.f64 (.f64 x 2) (-.f64 1 (/.f64 1/16 (pow.f64 x 4)))))) (.f64 (.f64 x 2) (-.f64 1 (*.f64 1/4 (pow.f64 x -2)))))
(.f64 (/.f64 1 (-.f64 (+.f64 (/.f64 1/16 (pow.f64 x 4)) (-.f64 1 (.f64 1/4 (pow.f64 x -2)))) (.f64 (.f64 x 2) (+.f64 1 (.f64 1/64 (pow.f64 (pow.f64 x -2) 3)))))) (.f64 (.f64 x 2) (+.f64 (/.f64 1/16 (pow.f64 x 4)) (-.f64 1 (.f64 1/4 (pow.f64 x -2))))))
(.f64 (/.f64 1 (-.f64 (.f64 1/2 (-.f64 1 (.f64 1/4 (pow.f64 x -2)))) (.f64 x (-.f64 1 (/.f64 1/16 (pow.f64 x 4)))))) (.f64 x (-.f64 1 (.f64 1/4 (pow.f64 x -2)))))
(.f64 (/.f64 1 (-.f64 (.f64 1/2 (+.f64 (/.f64 1/16 (pow.f64 x 4)) (-.f64 1 (.f64 1/4 (pow.f64 x -2))))) (.f64 x (+.f64 1 (.f64 1/64 (pow.f64 (pow.f64 x -2) 3)))))) (.f64 x (+.f64 (/.f64 1/16 (pow.f64 x 4)) (-.f64 1 (*.f64 1/4 (pow.f64 x -2))))))
(.f64 (/.f64 1 (-.f64 (.f64 -1/2 (-.f64 1 (.f64 1/4 (pow.f64 x -2)))) (.f64 (neg.f64 x) (-.f64 1 (/.f64 1/16 (pow.f64 x 4)))))) (.f64 (neg.f64 x) (-.f64 1 (.f64 1/4 (pow.f64 x -2)))))
(.f64 (/.f64 1 (-.f64 (.f64 -1/2 (+.f64 (/.f64 1/16 (pow.f64 x 4)) (-.f64 1 (.f64 1/4 (pow.f64 x -2))))) (.f64 (neg.f64 x) (+.f64 1 (.f64 1/64 (pow.f64 (pow.f64 x -2) 3)))))) (.f64 (neg.f64 x) (+.f64 (/.f64 1/16 (pow.f64 x 4)) (-.f64 1 (*.f64 1/4 (pow.f64 x -2))))))
(.f64 (/.f64 (pow.f64 (-.f64 (/.f64 1/2 x) (fma.f64 1/4 (pow.f64 x -2) 1)) -1/2) (sqrt.f64 (-.f64 (/.f64 1/8 (pow.f64 x 3)) (pow.f64 (fma.f64 1/4 (pow.f64 x -2) 1) 3)))) (sqrt.f64 (+.f64 (.f64 1/4 (pow.f64 x -2)) (*.f64 (fma.f64 1/4 (pow.f64 x -2) 1) (+.f64 (/.f64 1/2 x) (fma.f64 1/4 (pow.f64 x -2) 1))))))
(.f64 (/.f64 (pow.f64 (-.f64 (/.f64 1/2 x) (fma.f64 1/4 (pow.f64 x -2) 1)) -1/2) (sqrt.f64 (-.f64 (.f64 1/4 (pow.f64 x -2)) (pow.f64 (fma.f64 1/4 (pow.f64 x -2) 1) 2)))) (sqrt.f64 (+.f64 (/.f64 1/2 x) (fma.f64 1/4 (pow.f64 x -2) 1))))
(.f64 (/.f64 -1 (neg.f64 (-.f64 (.f64 1/4 (pow.f64 x -2)) (pow.f64 (fma.f64 1/4 (pow.f64 x -2) 1) 2)))) (+.f64 (/.f64 1/2 x) (fma.f64 1/4 (pow.f64 x -2) 1)))
(.f64 (/.f64 -1 (neg.f64 (-.f64 (/.f64 1/8 (pow.f64 x 3)) (pow.f64 (fma.f64 1/4 (pow.f64 x -2) 1) 3)))) (+.f64 (.f64 1/4 (pow.f64 x -2)) (*.f64 (fma.f64 1/4 (pow.f64 x -2) 1) (+.f64 (/.f64 1/2 x) (fma.f64 1/4 (pow.f64 x -2) 1)))))
(.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 (/.f64 1/2 x) (fma.f64 1/4 (pow.f64 x -2) 1))) 2)) (cbrt.f64 (-.f64 (/.f64 1/8 (pow.f64 x 3)) (pow.f64 (fma.f64 1/4 (pow.f64 x -2) 1) 3)))) (cbrt.f64 (+.f64 (.f64 1/4 (pow.f64 x -2)) (*.f64 (fma.f64 1/4 (pow.f64 x -2) 1) (+.f64 (/.f64 1/2 x) (fma.f64 1/4 (pow.f64 x -2) 1))))))
(.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 (/.f64 1/2 x) (fma.f64 1/4 (pow.f64 x -2) 1))) 2)) (cbrt.f64 (-.f64 (.f64 1/4 (pow.f64 x -2)) (pow.f64 (fma.f64 1/4 (pow.f64 x -2) 1) 2)))) (cbrt.f64 (+.f64 (/.f64 1/2 x) (fma.f64 1/4 (pow.f64 x -2) 1))))
(pow.f64 (-.f64 (/.f64 1/2 x) (fma.f64 1/4 (pow.f64 x -2) 1)) -1)
(pow.f64 (/.f64 1 (-.f64 (/.f64 1/2 x) (fma.f64 1/4 (pow.f64 x -2) 1))) 1)
(pow.f64 (pow.f64 (-.f64 (/.f64 1/2 x) (fma.f64 1/4 (pow.f64 x -2) 1)) -1/2) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (/.f64 1/2 x) (fma.f64 1/4 (pow.f64 x -2) 1)))) 3)
(pow.f64 (/.f64 1 (pow.f64 (-.f64 (/.f64 1/2 x) (fma.f64 1/4 (pow.f64 x -2) 1)) 3)) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (/.f64 1/2 x) (fma.f64 1/4 (pow.f64 x -2) 1)) -2))
(log.f64 (exp.f64 (/.f64 1 (-.f64 (/.f64 1/2 x) (fma.f64 1/4 (pow.f64 x -2) 1)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 (/.f64 1/2 x) (fma.f64 1/4 (pow.f64 x -2) 1))))))
(cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (/.f64 1/2 x) (fma.f64 1/4 (pow.f64 x -2) 1)) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 (/.f64 1/2 x) (fma.f64 1/4 (pow.f64 x -2) 1)))))
(exp.f64 (neg.f64 (log.f64 (-.f64 (/.f64 1/2 x) (fma.f64 1/4 (pow.f64 x -2) 1)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 1/2 x) (fma.f64 1/4 (pow.f64 x -2) 1))) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (-.f64 (/.f64 1/2 x) (fma.f64 1/4 (pow.f64 x -2) 1)))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 (/.f64 1/2 x) (fma.f64 1/4 (pow.f64 x -2) 1)))))
(+.f64 1 (-.f64 (*.f64 1/4 (pow.f64 x -2)) 1))
(+.f64 (*.f64 1/4 (pow.f64 x -2)) 0)
(-.f64 (fma.f64 1/4 (pow.f64 x -2) 1) 1)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/4 (pow.f64 x -2) 1))) 2)
(-.f64 (/.f64 1 (-.f64 1 (.f64 1/4 (pow.f64 x -2)))) (+.f64 (/.f64 1/16 (.f64 (-.f64 1 (*.f64 1/4 (pow.f64 x -2))) (pow.f64 x 4))) 1))
(.f64 1 (.f64 1/4 (pow.f64 x -2)))
(.f64 1/2 (.f64 (/.f64 1 x) (/.f64 1/2 x)))
(*.f64 (/.f64 1/2 x) (/.f64 1/2 x))
(*.f64 1/4 (pow.f64 x -2))
(.f64 1/4 (.f64 (/.f64 1 x) (/.f64 1 x)))
(.f64 (.f64 1/4 (pow.f64 x -2)) 1)
(.f64 (sqrt.f64 (/.f64 1/2 x)) (.f64 (sqrt.f64 (/.f64 1/2 x)) (/.f64 1/2 x)))
(.f64 (cbrt.f64 (/.f64 1/16 (pow.f64 x 4))) (cbrt.f64 (.f64 1/4 (pow.f64 x -2))))
(.f64 (cbrt.f64 (.f64 1/4 (pow.f64 x -2))) (cbrt.f64 (/.f64 1/16 (pow.f64 x 4))))
(.f64 (cbrt.f64 (.f64 1/4 (pow.f64 x -2))) (*.f64 (cbrt.f64 (/.f64 1/2 x)) (/.f64 1/2 x)))
(*.f64 (/.f64 1/4 x) (/.f64 1 x))
(*.f64 (pow.f64 x -2) 1/4)
(*.f64 (/.f64 1 x) (/.f64 1/4 x))
(.f64 -1/4 (/.f64 -1 (.f64 x x)))
(.f64 (.f64 (/.f64 1/2 x) (sqrt.f64 (/.f64 1/2 x))) (sqrt.f64 (/.f64 1/2 x)))
(.f64 (.f64 (/.f64 1/2 x) 1/2) (/.f64 1 x))
(.f64 (.f64 (/.f64 1/2 x) (cbrt.f64 (*.f64 1/4 (pow.f64 x -2)))) (cbrt.f64 (/.f64 1/2 x)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 1/4 (pow.f64 (cbrt.f64 x) 2)))
(.f64 (/.f64 -1 (.f64 x x)) -1/4)
(*.f64 (/.f64 (/.f64 1/2 x) x) 1/2)
(*.f64 (/.f64 (/.f64 1/2 x) (sqrt.f64 x)) (/.f64 1/2 (sqrt.f64 x)))
(*.f64 (/.f64 (/.f64 1/2 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1/2 (cbrt.f64 x)))
(*.f64 (/.f64 (/.f64 1/2 x) (neg.f64 x)) -1/2)
(pow.f64 (/.f64 1/2 x) 2)
(pow.f64 (*.f64 1/4 (pow.f64 x -2)) 1)
(pow.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 x -2))) 3)
(pow.f64 (.f64 (.f64 x x) 4) -1)
(pow.f64 (*.f64 1/64 (pow.f64 (pow.f64 x -2) 3)) 1/3)
(sqrt.f64 (/.f64 1/16 (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 1/4) (pow.f64 x -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/4 (pow.f64 x -2)))))
(cbrt.f64 (*.f64 1/64 (pow.f64 (pow.f64 x -2) 3)))
(expm1.f64 (log1p.f64 (*.f64 1/4 (pow.f64 x -2))))
(exp.f64 (log.f64 (*.f64 1/4 (pow.f64 x -2))))
(exp.f64 (.f64 (log.f64 (.f64 1/4 (pow.f64 x -2))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/4 (pow.f64 x -2))))

Outputs
(*.f64 -4 (pow.f64 x 2))
(.f64 -4 (.f64 x x))
(+.f64 (.f64 -4 (pow.f64 x 2)) (.f64 -8 (pow.f64 x 3)))
(fma.f64 -4 (.f64 x x) (.f64 -8 (pow.f64 x 3)))
(fma.f64 -8 (pow.f64 x 3) (.f64 -4 (.f64 x x)))
(+.f64 (.f64 -4 (pow.f64 x 2)) (+.f64 (.f64 -8 (pow.f64 x 3)) (*.f64 -8 (pow.f64 x 4))))
(fma.f64 -4 (.f64 x x) (.f64 -8 (+.f64 (pow.f64 x 3) (pow.f64 x 4))))
(fma.f64 -8 (+.f64 (pow.f64 x 3) (pow.f64 x 4)) (.f64 -4 (.f64 x x)))
(+.f64 (.f64 32/3 (pow.f64 x 6)) (+.f64 (.f64 -4 (pow.f64 x 2)) (+.f64 (.f64 -8 (pow.f64 x 3)) (.f64 -8 (pow.f64 x 4)))))
(fma.f64 32/3 (pow.f64 x 6) (fma.f64 -4 (.f64 x x) (.f64 -8 (+.f64 (pow.f64 x 3) (pow.f64 x 4)))))
(fma.f64 32/3 (pow.f64 x 6) (fma.f64 -8 (+.f64 (pow.f64 x 3) (pow.f64 x 4)) (.f64 -4 (.f64 x x))))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 -1/2) (neg.f64 (log.f64 x)))
(-.f64 (log.f64 -1/2) (log.f64 x))
(-.f64 (+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 -1/2) (-.f64 (neg.f64 (log.f64 x)) (/.f64 1/4 (*.f64 x x))))
(+.f64 (-.f64 (log.f64 -1/2) (log.f64 x)) (*.f64 (pow.f64 x -2) -1/4))
(-.f64 (+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 x))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 -1/2) (-.f64 (neg.f64 (log.f64 x)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/8 (pow.f64 x 3)))))
(-.f64 (-.f64 (log.f64 -1/2) (log.f64 x)) (fma.f64 1/4 (pow.f64 x -2) (/.f64 1/8 (pow.f64 x 3))))
(-.f64 (+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 x))) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(-.f64 (+.f64 (log.f64 -1/2) (neg.f64 (log.f64 x))) (+.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/8 (pow.f64 x 3))) (/.f64 1/32 (pow.f64 x 4))))
(-.f64 (-.f64 (log.f64 -1/2) (log.f64 x)) (+.f64 (fma.f64 1/4 (pow.f64 x -2) (/.f64 1/8 (pow.f64 x 3))) (/.f64 1/32 (pow.f64 x 4))))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (log.f64 1/2) (/.f64 1/4 (*.f64 x x))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (*.f64 (pow.f64 x -2) -1/4)))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/8 (pow.f64 x 3))))
(+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (log.f64 1/2) (fma.f64 1/4 (pow.f64 x -2) (/.f64 1/8 (pow.f64 x 3)))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (+.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/8 (pow.f64 x 3))) (/.f64 1/32 (pow.f64 x 4))))
(+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (-.f64 (log.f64 1/2) (fma.f64 1/4 (pow.f64 x -2) (/.f64 1/8 (pow.f64 x 3)))) (/.f64 1/32 (pow.f64 x 4))))
(*.f64 -4 (pow.f64 x 2))
(.f64 -4 (.f64 x x))
(+.f64 (.f64 -4 (pow.f64 x 2)) (.f64 -8 (pow.f64 x 3)))
(fma.f64 -4 (.f64 x x) (.f64 -8 (pow.f64 x 3)))
(fma.f64 -8 (pow.f64 x 3) (.f64 -4 (.f64 x x)))
(+.f64 (.f64 -4 (pow.f64 x 2)) (+.f64 (.f64 -8 (pow.f64 x 3)) (*.f64 32 (pow.f64 x 5))))
(fma.f64 -4 (.f64 x x) (fma.f64 -8 (pow.f64 x 3) (.f64 32 (pow.f64 x 5))))
(+.f64 (.f64 -4 (pow.f64 x 2)) (+.f64 (.f64 -8 (pow.f64 x 3)) (+.f64 (.f64 32 (pow.f64 x 5)) (.f64 64 (pow.f64 x 6)))))
(fma.f64 -4 (.f64 x x) (fma.f64 -8 (pow.f64 x 3) (fma.f64 32 (pow.f64 x 5) (.f64 (pow.f64 x 6) 64))))
(fma.f64 -4 (.f64 x x) (fma.f64 -8 (pow.f64 x 3) (fma.f64 (pow.f64 x 6) 64 (.f64 32 (pow.f64 x 5)))))
-1
(neg.f64 (+.f64 1 (*.f64 1/2 (/.f64 1 x))))
(+.f64 -1 (neg.f64 (/.f64 1/2 x)))
(-.f64 -1 (/.f64 1/2 x))
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 1 x)) 1))
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 1 (/.f64 1/2 x)))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 -1 (/.f64 1/2 x)))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/16 (/.f64 1 (pow.f64 x 4)))) (+.f64 (*.f64 1/2 (/.f64 1 x)) 1))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 1/16 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 x))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/16 (pow.f64 x 4)) (-.f64 -1 (/.f64 1/2 x))))
-1
(neg.f64 (+.f64 1 (*.f64 1/2 (/.f64 1 x))))
(+.f64 -1 (neg.f64 (/.f64 1/2 x)))
(-.f64 -1 (/.f64 1/2 x))
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 1 x)) 1))
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 1 (/.f64 1/2 x)))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 -1 (/.f64 1/2 x)))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/16 (/.f64 1 (pow.f64 x 4)))) (+.f64 (*.f64 1/2 (/.f64 1 x)) 1))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 1/16 (pow.f64 x 4)) (+.f64 1 (/.f64 1/2 x))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/16 (pow.f64 x 4)) (-.f64 -1 (/.f64 1/2 x))))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (*.f64 x x))
(*.f64 1/4 (pow.f64 x -2))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (*.f64 x x))
(*.f64 1/4 (pow.f64 x -2))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (*.f64 x x))
(*.f64 1/4 (pow.f64 x -2))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (*.f64 x x))
(*.f64 1/4 (pow.f64 x -2))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (*.f64 x x))
(*.f64 1/4 (pow.f64 x -2))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (*.f64 x x))
(*.f64 1/4 (pow.f64 x -2))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (*.f64 x x))
(*.f64 1/4 (pow.f64 x -2))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (*.f64 x x))
(*.f64 1/4 (pow.f64 x -2))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (*.f64 x x))
(*.f64 1/4 (pow.f64 x -2))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (*.f64 x x))
(*.f64 1/4 (pow.f64 x -2))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (*.f64 x x))
(*.f64 1/4 (pow.f64 x -2))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (*.f64 x x))
(*.f64 1/4 (pow.f64 x -2))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 1 (-.f64 (/.f64 1/2 x) (fma.f64 1/4 (pow.f64 x -2) 1)))))) 1)
(log1p.f64 (/.f64 1 (-.f64 (/.f64 1/2 x) (fma.f64 1/4 (pow.f64 x -2) 1))))
(*.f64 1 (log1p.f64 (/.f64 1 (-.f64 (/.f64 1/2 x) (fma.f64 1/4 (pow.f64 x -2) 1)))))
(log1p.f64 (/.f64 1 (-.f64 (/.f64 1/2 x) (fma.f64 1/4 (pow.f64 x -2) 1))))
(*.f64 (log1p.f64 (/.f64 1 (-.f64 (/.f64 1/2 x) (fma.f64 1/4 (pow.f64 x -2) 1)))) 1)
(log1p.f64 (/.f64 1 (-.f64 (/.f64 1/2 x) (fma.f64 1/4 (pow.f64 x -2) 1))))
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 (-.f64 (/.f64 1/2 x) (fma.f64 1/4 (pow.f64 x -2) 1))))) (sqrt.f64 (log1p.f64 (/.f64 1 (-.f64 (/.f64 1/2 x) (fma.f64 1/4 (pow.f64 x -2) 1))))))
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(-.f64 (/.f64 1 (+.f64 1 (.f64 (pow.f64 x -2) -1/4))) (+.f64 1 (/.f64 1/16 (.f64 (pow.f64 x 4) (+.f64 1 (*.f64 (pow.f64 x -2) -1/4))))))
(-.f64 (-.f64 (/.f64 1 (+.f64 1 (.f64 (pow.f64 x -2) -1/4))) 1) (/.f64 1/16 (.f64 (pow.f64 x 4) (+.f64 1 (*.f64 (pow.f64 x -2) -1/4)))))
(.f64 1 (.f64 1/4 (pow.f64 x -2)))
(/.f64 1/4 (*.f64 x x))
(*.f64 1/4 (pow.f64 x -2))
(.f64 1/2 (.f64 (/.f64 1 x) (/.f64 1/2 x)))
(/.f64 1/4 (*.f64 x x))
(*.f64 1/4 (pow.f64 x -2))
(*.f64 (/.f64 1/2 x) (/.f64 1/2 x))
(/.f64 1/4 (*.f64 x x))
(*.f64 1/4 (pow.f64 x -2))
(*.f64 1/4 (pow.f64 x -2))
(/.f64 1/4 (*.f64 x x))
(.f64 1/4 (.f64 (/.f64 1 x) (/.f64 1 x)))
(/.f64 1/4 (*.f64 x x))
(*.f64 1/4 (pow.f64 x -2))
(.f64 (.f64 1/4 (pow.f64 x -2)) 1)
(/.f64 1/4 (*.f64 x x))
(*.f64 1/4 (pow.f64 x -2))
(.f64 (sqrt.f64 (/.f64 1/2 x)) (.f64 (sqrt.f64 (/.f64 1/2 x)) (/.f64 1/2 x)))
(/.f64 1/4 (*.f64 x x))
(*.f64 1/4 (pow.f64 x -2))
(.f64 (cbrt.f64 (/.f64 1/16 (pow.f64 x 4))) (cbrt.f64 (.f64 1/4 (pow.f64 x -2))))
(.f64 (cbrt.f64 (.f64 1/4 (pow.f64 x -2))) (cbrt.f64 (/.f64 1/16 (pow.f64 x 4))))
(.f64 (cbrt.f64 (/.f64 1/16 (pow.f64 x 4))) (cbrt.f64 (.f64 1/4 (pow.f64 x -2))))
(.f64 (cbrt.f64 (.f64 1/4 (pow.f64 x -2))) (*.f64 (cbrt.f64 (/.f64 1/2 x)) (/.f64 1/2 x)))
(.f64 (cbrt.f64 (.f64 1/4 (pow.f64 x -2))) (*.f64 (/.f64 1/2 x) (cbrt.f64 (/.f64 1/2 x))))
(*.f64 (/.f64 1/4 x) (/.f64 1 x))
(/.f64 1/4 (*.f64 x x))
(*.f64 1/4 (pow.f64 x -2))
(*.f64 (pow.f64 x -2) 1/4)
(/.f64 1/4 (*.f64 x x))
(*.f64 1/4 (pow.f64 x -2))
(*.f64 (/.f64 1 x) (/.f64 1/4 x))
(/.f64 1/4 (*.f64 x x))
(*.f64 1/4 (pow.f64 x -2))
(.f64 -1/4 (/.f64 -1 (.f64 x x)))
(/.f64 1/4 (*.f64 x x))
(*.f64 1/4 (pow.f64 x -2))
(.f64 (.f64 (/.f64 1/2 x) (sqrt.f64 (/.f64 1/2 x))) (sqrt.f64 (/.f64 1/2 x)))
(/.f64 1/4 (*.f64 x x))
(*.f64 1/4 (pow.f64 x -2))
(.f64 (.f64 (/.f64 1/2 x) 1/2) (/.f64 1 x))
(/.f64 1/4 (*.f64 x x))
(*.f64 1/4 (pow.f64 x -2))
(.f64 (.f64 (/.f64 1/2 x) (cbrt.f64 (*.f64 1/4 (pow.f64 x -2)))) (cbrt.f64 (/.f64 1/2 x)))
(.f64 (cbrt.f64 (.f64 1/4 (pow.f64 x -2))) (*.f64 (/.f64 1/2 x) (cbrt.f64 (/.f64 1/2 x))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 1/4 (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (/.f64 1/4 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4)))
(/.f64 (/.f64 1/4 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))
(.f64 (/.f64 -1 (.f64 x x)) -1/4)
(/.f64 1/4 (*.f64 x x))
(*.f64 1/4 (pow.f64 x -2))
(*.f64 (/.f64 (/.f64 1/2 x) x) 1/2)
(/.f64 1/4 (*.f64 x x))
(*.f64 1/4 (pow.f64 x -2))
(*.f64 (/.f64 (/.f64 1/2 x) (sqrt.f64 x)) (/.f64 1/2 (sqrt.f64 x)))
(/.f64 (/.f64 1/4 (*.f64 x (sqrt.f64 x))) (sqrt.f64 x))
(*.f64 (/.f64 (/.f64 1/2 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1/2 (cbrt.f64 x)))
(.f64 (/.f64 1/2 (.f64 (pow.f64 (cbrt.f64 x) 2) x)) (/.f64 1/2 (cbrt.f64 x)))
(/.f64 (/.f64 1/4 (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(*.f64 (/.f64 (/.f64 1/2 x) (neg.f64 x)) -1/2)
(/.f64 (*.f64 (/.f64 1/2 x) -1/2) (neg.f64 x))
(/.f64 (/.f64 -1/4 x) (neg.f64 x))
(/.f64 -1/4 (neg.f64 (*.f64 x x)))
(pow.f64 (/.f64 1/2 x) 2)
(/.f64 1/4 (*.f64 x x))
(*.f64 1/4 (pow.f64 x -2))
(pow.f64 (*.f64 1/4 (pow.f64 x -2)) 1)
(/.f64 1/4 (*.f64 x x))
(*.f64 1/4 (pow.f64 x -2))
(pow.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 x -2))) 3)
(/.f64 1/4 (*.f64 x x))
(*.f64 1/4 (pow.f64 x -2))
(pow.f64 (.f64 (.f64 x x) 4) -1)
(/.f64 1/4 (*.f64 x x))
(*.f64 1/4 (pow.f64 x -2))
(pow.f64 (*.f64 1/64 (pow.f64 (pow.f64 x -2) 3)) 1/3)
(cbrt.f64 (*.f64 1/64 (pow.f64 (pow.f64 x -2) 3)))
(sqrt.f64 (/.f64 1/16 (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 1/4) (pow.f64 x -2)))
(/.f64 1/4 (*.f64 x x))
(*.f64 1/4 (pow.f64 x -2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/4 (pow.f64 x -2)))))
(/.f64 1/4 (*.f64 x x))
(*.f64 1/4 (pow.f64 x -2))
(cbrt.f64 (*.f64 1/64 (pow.f64 (pow.f64 x -2) 3)))
(expm1.f64 (log1p.f64 (*.f64 1/4 (pow.f64 x -2))))
(/.f64 1/4 (*.f64 x x))
(*.f64 1/4 (pow.f64 x -2))
(exp.f64 (log.f64 (*.f64 1/4 (pow.f64 x -2))))
(/.f64 1/4 (*.f64 x x))
(*.f64 1/4 (pow.f64 x -2))
(exp.f64 (.f64 (log.f64 (.f64 1/4 (pow.f64 x -2))) 1))
(/.f64 1/4 (*.f64 x x))
(*.f64 1/4 (pow.f64 x -2))
(log1p.f64 (expm1.f64 (*.f64 1/4 (pow.f64 x -2))))
(/.f64 1/4 (*.f64 x x))
(*.f64 1/4 (pow.f64 x -2))

localize31.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.09%	(*.f64 3/40 (pow.f64 x 5))
	0.25%	(*.f64 -1/6 (pow.f64 x 3))
✓	0.38%	(*.f64 -5/112 (pow.f64 x 7))
✓	32.61%	(+.f64 (.f64 3/40 (pow.f64 x 5)) (+.f64 (.f64 -5/112 (pow.f64 x 7)) x))

Compiler

Compiled 71 to 55 computations (22.5% saved)

series2.0ms (0%)

Counts

2 → 6

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(+.f64 (.f64 3/40 (pow.f64 x 5)) (+.f64 (.f64 -5/112 (pow.f64 x 7)) x))
0.0ms	x	@	0	(*.f64 -5/112 (pow.f64 x 7))
0.0ms	x	@	-inf	(*.f64 -5/112 (pow.f64 x 7))
0.0ms	x	@	inf	(*.f64 -5/112 (pow.f64 x 7))
0.0ms	x	@	0	(+.f64 (.f64 3/40 (pow.f64 x 5)) (+.f64 (.f64 -5/112 (pow.f64 x 7)) x))

rewrite116.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1170×	`associate-*r/`
960×	`distribute-lft-in`
852×	`associate-*l/`
306×	`add-sqr-sqrt`
290×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	42
1	300	42
2	3847	42

Stop Event

1×	node limit

Counts

2 → 108

Calls

Call 1

Inputs
(+.f64 (.f64 3/40 (pow.f64 x 5)) (+.f64 (.f64 -5/112 (pow.f64 x 7)) x))
(*.f64 -5/112 (pow.f64 x 7))

Outputs

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27/64000) (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (*.f64 (pow.f64 x 10) 9/1600) (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 2)) (-.f64 (*.f64 (pow.f64 x 10) 9/1600) (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 2))) (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (*.f64 (pow.f64 x 10) 9/1600) (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 2)) (-.f64 (*.f64 (pow.f64 (pow.f64 x 5) 3) 27/64000) (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 3))) (+.f64 (*.f64 (pow.f64 x 10) 9/1600) (*.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x 5) 3) 27/64000) (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 3)) (-.f64 (*.f64 (*.f64 (pow.f64 x 10) 9/1600) (*.f64 (pow.f64 x 10) 9/1600)) (*.f64 (*.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 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/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x 5) 3) 27/64000) (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 3)) 1) (+.f64 (*.f64 (pow.f64 x 10) 9/1600) (*.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (-.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (*.f64 3/40 (pow.f64 x 5))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x 5) 3) 27/64000) (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 3)) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 10) 9/1600) (*.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (-.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (*.f64 3/40 (pow.f64 x 5))))))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 10) 9/1600) (*.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (-.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (*.f64 3/40 (pow.f64 x 5)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x 5) 3) 27/64000) (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 3)) (*.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 10) 9/1600) (*.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (-.f64 (fma.f64 -5/112 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(#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 5) 3/40 (fma.f64 -5/112 (pow.f64 x 7) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 3/40 (pow.f64 x 5)) (fma.f64 -5/112 (pow.f64 x 7) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 -5/112 (pow.f64 x 7) x) (*.f64 3/40 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 -5/112 (pow.f64 x 7) x)) (sqrt.f64 (fma.f64 -5/112 (pow.f64 x 7) x)) (*.f64 3/40 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 x 5/2) (sqrt.f64 3/40)) (*.f64 (pow.f64 x 5/2) (sqrt.f64 3/40)) (fma.f64 -5/112 (pow.f64 x 7) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -5/112 (pow.f64 x 7) x)) 2) (cbrt.f64 (fma.f64 -5/112 (pow.f64 x 7) x)) (*.f64 3/40 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 10) 9/1600)) (cbrt.f64 (*.f64 3/40 (pow.f64 x 5))) (fma.f64 -5/112 (pow.f64 x 7) x))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -5/112 (pow.f64 x 7)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -5/112 (pow.f64 x 7)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 -5/112) (pow.f64 x 7/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -5/112 (pow.f64 x 7))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -5/112 (pow.f64 x 7)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 25/12544 (pow.f64 x 14)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -5/112) (pow.f64 x 7)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -5/112 (pow.f64 x 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -5/112 (pow.f64 x 7)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -5/112 (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -5/112 (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -5/112 (pow.f64 x 7))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -5/112 (pow.f64 x 7))))))))

simplify134.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1784×	`associate-*r/`
1612×	`associate-/r*`
1460×	`associate-*l/`
622×	`+-commutative`
522×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	316	9492
1	907	8646
2	3978	8646

Stop Event

1×	node limit

Counts

114 → 168

Calls

Call 1

Inputs
x
(+.f64 (*.f64 3/40 (pow.f64 x 5)) x)
(*.f64 -5/112 (pow.f64 x 7))
(+.f64 (.f64 3/40 (pow.f64 x 5)) (.f64 -5/112 (pow.f64 x 7)))
(*.f64 -5/112 (pow.f64 x 7))
(+.f64 (.f64 3/40 (pow.f64 x 5)) (.f64 -5/112 (pow.f64 x 7)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x)))) 1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 3/40 (pow.f64 x 5)))) (-.f64 1 (fma.f64 -5/112 (pow.f64 x 7) x)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -5/112 (pow.f64 x 7) x))) (-.f64 1 (*.f64 3/40 (pow.f64 x 5))))
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 -5/112 (pow.f64 x 7)))) (-.f64 1 (+.f64 x (.f64 3/40 (pow.f64 x 5)))))
(-.f64 (/.f64 (pow.f64 x 10) (/.f64 (-.f64 (.f64 3/40 (pow.f64 x 5)) (fma.f64 -5/112 (pow.f64 x 7) x)) 9/1600)) (/.f64 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 2) (-.f64 (.f64 3/40 (pow.f64 x 5)) (fma.f64 -5/112 (pow.f64 x 7) x))))
(-.f64 (/.f64 (.f64 25/12544 (pow.f64 x 14)) (fma.f64 -5/112 (pow.f64 x 7) (neg.f64 x))) (-.f64 (/.f64 (.f64 x x) (fma.f64 -5/112 (pow.f64 x 7) (neg.f64 x))) (*.f64 3/40 (pow.f64 x 5))))
(-.f64 (+.f64 (*.f64 3/40 (pow.f64 x 5)) (exp.f64 (log1p.f64 (fma.f64 -5/112 (pow.f64 x 7) x)))) 1)
(-.f64 (+.f64 (.f64 3/40 (pow.f64 x 5)) (/.f64 (.f64 25/12544 (pow.f64 x 14)) (fma.f64 -5/112 (pow.f64 x 7) (neg.f64 x)))) (/.f64 (*.f64 x x) (fma.f64 -5/112 (pow.f64 x 7) (neg.f64 x))))
(-.f64 (+.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (exp.f64 (log1p.f64 (*.f64 3/40 (pow.f64 x 5))))) 1)
(-.f64 (+.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7))) (exp.f64 (log1p.f64 x))) 1)
(-.f64 (+.f64 (+.f64 x (.f64 3/40 (pow.f64 x 5))) (exp.f64 (log1p.f64 (.f64 -5/112 (pow.f64 x 7))))) 1)
(-.f64 (+.f64 (.f64 (fma.f64 3/40 (pow.f64 x 5) (.f64 -5/112 (pow.f64 x 7))) 1) (exp.f64 (log1p.f64 x))) 1)
(*.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x)) 1)
(*.f64 1 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x)))
(*.f64 (sqrt.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))) (sqrt.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))))
(*.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))) (pow.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))) 2) (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))))
(.f64 (-.f64 (.f64 (pow.f64 x 10) 9/1600) (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 2)) (/.f64 1 (-.f64 (*.f64 3/40 (pow.f64 x 5)) (fma.f64 -5/112 (pow.f64 x 7) x))))
(.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x 5) 3) 27/64000) (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 3)) (/.f64 1 (+.f64 (.f64 (pow.f64 x 10) 9/1600) (.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (-.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (*.f64 3/40 (pow.f64 x 5)))))))
(.f64 (/.f64 1 (-.f64 (.f64 3/40 (pow.f64 x 5)) (fma.f64 -5/112 (pow.f64 x 7) x))) (-.f64 (*.f64 (pow.f64 x 10) 9/1600) (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 2)))
(.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 x 10) 9/1600) (.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (-.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (.f64 3/40 (pow.f64 x 5)))))) (+.f64 (*.f64 (pow.f64 (pow.f64 x 5) 3) 27/64000) (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 3)))
(.f64 (/.f64 (-.f64 (.f64 (pow.f64 x 10) 9/1600) (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 2)) (-.f64 (*.f64 (pow.f64 x 10) 9/1600) (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 2))) (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x)))
(.f64 (/.f64 (-.f64 (.f64 (pow.f64 x 10) 9/1600) (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 2)) (-.f64 (.f64 (pow.f64 (pow.f64 x 5) 3) 27/64000) (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 3))) (+.f64 (.f64 (pow.f64 x 10) 9/1600) (*.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x)))))
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(/.f64 (/.f64 (-.f64 (.f64 (pow.f64 x 10) 9/1600) (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 2)) (.f64 (cbrt.f64 (-.f64 (.f64 3/40 (pow.f64 x 5)) (fma.f64 -5/112 (pow.f64 x 7) x))) (cbrt.f64 (-.f64 (.f64 3/40 (pow.f64 x 5)) (fma.f64 -5/112 (pow.f64 x 7) x))))) (cbrt.f64 (-.f64 (*.f64 3/40 (pow.f64 x 5)) (fma.f64 -5/112 (pow.f64 x 7) x))))
(/.f64 (/.f64 (-.f64 (.f64 (pow.f64 x 10) 9/1600) (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 2)) (+.f64 (sqrt.f64 (fma.f64 -5/112 (pow.f64 x 7) x)) (.f64 (pow.f64 x 5/2) (sqrt.f64 3/40)))) (-.f64 (*.f64 (pow.f64 x 5/2) (sqrt.f64 3/40)) (sqrt.f64 (fma.f64 -5/112 (pow.f64 x 7) x))))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x 5) 3) 27/64000) (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 3)) 1) (+.f64 (.f64 (pow.f64 x 10) 9/1600) (.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (-.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (.f64 3/40 (pow.f64 x 5))))))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x 5) 3) 27/64000) (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 3)) (sqrt.f64 (+.f64 (.f64 (pow.f64 x 10) 9/1600) (.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (-.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (.f64 3/40 (pow.f64 x 5))))))) (sqrt.f64 (+.f64 (.f64 (pow.f64 x 10) 9/1600) (.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (-.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (*.f64 3/40 (pow.f64 x 5)))))))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x 5) 3) 27/64000) (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 3)) (.f64 (cbrt.f64 (+.f64 (.f64 (pow.f64 x 10) 9/1600) (.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (-.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (.f64 3/40 (pow.f64 x 5)))))) (cbrt.f64 (+.f64 (.f64 (pow.f64 x 10) 9/1600) (.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (-.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (.f64 3/40 (pow.f64 x 5)))))))) (cbrt.f64 (+.f64 (.f64 (pow.f64 x 10) 9/1600) (.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (-.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (*.f64 3/40 (pow.f64 x 5)))))))
(pow.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x)) 1)
(pow.f64 (sqrt.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))) 2)
(pow.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))) 3)
(pow.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x)) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x)) 2))
(log.f64 (exp.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x)))))
(cbrt.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))))
(exp.f64 (log.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))) 1))
(log1p.f64 (expm1.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))))
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))
(fma.f64 (pow.f64 x 5) 3/40 (fma.f64 -5/112 (pow.f64 x 7) x))
(fma.f64 1 (*.f64 3/40 (pow.f64 x 5)) (fma.f64 -5/112 (pow.f64 x 7) x))
(fma.f64 1 (fma.f64 -5/112 (pow.f64 x 7) x) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 (sqrt.f64 (fma.f64 -5/112 (pow.f64 x 7) x)) (sqrt.f64 (fma.f64 -5/112 (pow.f64 x 7) x)) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 (.f64 (pow.f64 x 5/2) (sqrt.f64 3/40)) (.f64 (pow.f64 x 5/2) (sqrt.f64 3/40)) (fma.f64 -5/112 (pow.f64 x 7) x))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -5/112 (pow.f64 x 7) x)) 2) (cbrt.f64 (fma.f64 -5/112 (pow.f64 x 7) x)) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 10) 9/1600)) (cbrt.f64 (.f64 3/40 (pow.f64 x 5))) (fma.f64 -5/112 (pow.f64 x 7) x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -5/112 (pow.f64 x 7)))) 1)
(pow.f64 (*.f64 -5/112 (pow.f64 x 7)) 1)
(pow.f64 (*.f64 (sqrt.f64 -5/112) (pow.f64 x 7/2)) 2)
(pow.f64 (cbrt.f64 (*.f64 -5/112 (pow.f64 x 7))) 3)
(pow.f64 (pow.f64 (*.f64 -5/112 (pow.f64 x 7)) 3) 1/3)
(sqrt.f64 (*.f64 25/12544 (pow.f64 x 14)))
(log.f64 (pow.f64 (exp.f64 -5/112) (pow.f64 x 7)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -5/112 (pow.f64 x 7)))))
(cbrt.f64 (pow.f64 (*.f64 -5/112 (pow.f64 x 7)) 3))
(expm1.f64 (log1p.f64 (*.f64 -5/112 (pow.f64 x 7))))
(exp.f64 (log.f64 (*.f64 -5/112 (pow.f64 x 7))))
(exp.f64 (.f64 (log.f64 (.f64 -5/112 (pow.f64 x 7))) 1))
(log1p.f64 (expm1.f64 (*.f64 -5/112 (pow.f64 x 7))))

Outputs
x
(+.f64 (*.f64 3/40 (pow.f64 x 5)) x)
(fma.f64 3/40 (pow.f64 x 5) x)
(*.f64 -5/112 (pow.f64 x 7))
(+.f64 (.f64 3/40 (pow.f64 x 5)) (.f64 -5/112 (pow.f64 x 7)))
(fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7)))
(*.f64 -5/112 (pow.f64 x 7))
(+.f64 (.f64 3/40 (pow.f64 x 5)) (.f64 -5/112 (pow.f64 x 7)))
(fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x)))) 1)
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 3/40 (pow.f64 x 5)))) (-.f64 1 (fma.f64 -5/112 (pow.f64 x 7) x)))
(+.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 3/40 (pow.f64 x 5)))) 1) (fma.f64 -5/112 (pow.f64 x 7) x))
(+.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (expm1.f64 (log1p.f64 (*.f64 3/40 (pow.f64 x 5)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -5/112 (pow.f64 x 7) x))) (-.f64 1 (*.f64 3/40 (pow.f64 x 5))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -5/112 (pow.f64 x 7) x))) (+.f64 1 (*.f64 -3/40 (pow.f64 x 5))))
(fma.f64 3/40 (pow.f64 x 5) (expm1.f64 (log1p.f64 (fma.f64 -5/112 (pow.f64 x 7) x))))
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7)))))
(+.f64 (-.f64 (exp.f64 (log1p.f64 x)) 1) (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7))))
(+.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7))) (expm1.f64 (log1p.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (.f64 -5/112 (pow.f64 x 7)))) (-.f64 1 (+.f64 x (.f64 3/40 (pow.f64 x 5)))))
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))
(-.f64 (/.f64 (pow.f64 x 10) (/.f64 (-.f64 (.f64 3/40 (pow.f64 x 5)) (fma.f64 -5/112 (pow.f64 x 7) x)) 9/1600)) (/.f64 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 2) (-.f64 (.f64 3/40 (pow.f64 x 5)) (fma.f64 -5/112 (pow.f64 x 7) x))))
(-.f64 (*.f64 (/.f64 (pow.f64 x 10) (fma.f64 3/40 (pow.f64 x 5) (neg.f64 (fma.f64 -5/112 (pow.f64 x 7) x)))) 9/1600) (/.f64 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 2) (fma.f64 3/40 (pow.f64 x 5) (neg.f64 (fma.f64 -5/112 (pow.f64 x 7) x)))))
(/.f64 (-.f64 (.f64 (pow.f64 x 10) 9/1600) (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 2)) (-.f64 (.f64 3/40 (pow.f64 x 5)) (fma.f64 -5/112 (pow.f64 x 7) x)))
(-.f64 (/.f64 (.f64 25/12544 (pow.f64 x 14)) (fma.f64 -5/112 (pow.f64 x 7) (neg.f64 x))) (-.f64 (/.f64 (.f64 x x) (fma.f64 -5/112 (pow.f64 x 7) (neg.f64 x))) (*.f64 3/40 (pow.f64 x 5))))
(+.f64 (-.f64 (/.f64 25/12544 (/.f64 (fma.f64 -5/112 (pow.f64 x 7) (neg.f64 x)) (pow.f64 x 14))) (/.f64 x (/.f64 (fma.f64 -5/112 (pow.f64 x 7) (neg.f64 x)) x))) (*.f64 3/40 (pow.f64 x 5)))
(-.f64 (fma.f64 3/40 (pow.f64 x 5) (/.f64 25/12544 (/.f64 (-.f64 (.f64 -5/112 (pow.f64 x 7)) x) (pow.f64 x 14)))) (.f64 (/.f64 x (-.f64 (*.f64 -5/112 (pow.f64 x 7)) x)) x))
(-.f64 (+.f64 (*.f64 3/40 (pow.f64 x 5)) (exp.f64 (log1p.f64 (fma.f64 -5/112 (pow.f64 x 7) x)))) 1)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -5/112 (pow.f64 x 7) x))) (+.f64 1 (*.f64 -3/40 (pow.f64 x 5))))
(fma.f64 3/40 (pow.f64 x 5) (expm1.f64 (log1p.f64 (fma.f64 -5/112 (pow.f64 x 7) x))))
(-.f64 (+.f64 (.f64 3/40 (pow.f64 x 5)) (/.f64 (.f64 25/12544 (pow.f64 x 14)) (fma.f64 -5/112 (pow.f64 x 7) (neg.f64 x)))) (/.f64 (*.f64 x x) (fma.f64 -5/112 (pow.f64 x 7) (neg.f64 x))))
(+.f64 (-.f64 (/.f64 25/12544 (/.f64 (fma.f64 -5/112 (pow.f64 x 7) (neg.f64 x)) (pow.f64 x 14))) (/.f64 x (/.f64 (fma.f64 -5/112 (pow.f64 x 7) (neg.f64 x)) x))) (*.f64 3/40 (pow.f64 x 5)))
(-.f64 (fma.f64 3/40 (pow.f64 x 5) (/.f64 25/12544 (/.f64 (-.f64 (.f64 -5/112 (pow.f64 x 7)) x) (pow.f64 x 14)))) (.f64 (/.f64 x (-.f64 (*.f64 -5/112 (pow.f64 x 7)) x)) x))
(-.f64 (+.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (exp.f64 (log1p.f64 (*.f64 3/40 (pow.f64 x 5))))) 1)
(+.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 3/40 (pow.f64 x 5)))) 1) (fma.f64 -5/112 (pow.f64 x 7) x))
(+.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (expm1.f64 (log1p.f64 (*.f64 3/40 (pow.f64 x 5)))))
(-.f64 (+.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7))) (exp.f64 (log1p.f64 x))) 1)
(+.f64 (-.f64 (exp.f64 (log1p.f64 x)) 1) (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7))))
(+.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7))) (expm1.f64 (log1p.f64 x)))
(-.f64 (+.f64 (+.f64 x (.f64 3/40 (pow.f64 x 5))) (exp.f64 (log1p.f64 (.f64 -5/112 (pow.f64 x 7))))) 1)
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))
(-.f64 (+.f64 (.f64 (fma.f64 3/40 (pow.f64 x 5) (.f64 -5/112 (pow.f64 x 7))) 1) (exp.f64 (log1p.f64 x))) 1)
(+.f64 (-.f64 (exp.f64 (log1p.f64 x)) 1) (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7))))
(+.f64 (fma.f64 3/40 (pow.f64 x 5) (*.f64 -5/112 (pow.f64 x 7))) (expm1.f64 (log1p.f64 x)))
(*.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x)) 1)
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))
(*.f64 1 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x)))
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))
(*.f64 (sqrt.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))) (sqrt.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))))
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))
(*.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))) (pow.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))) 2))
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))) 2) (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))))
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))
(.f64 (-.f64 (.f64 (pow.f64 x 10) 9/1600) (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 2)) (/.f64 1 (-.f64 (*.f64 3/40 (pow.f64 x 5)) (fma.f64 -5/112 (pow.f64 x 7) x))))
(-.f64 (*.f64 (/.f64 (pow.f64 x 10) (fma.f64 3/40 (pow.f64 x 5) (neg.f64 (fma.f64 -5/112 (pow.f64 x 7) x)))) 9/1600) (/.f64 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 2) (fma.f64 3/40 (pow.f64 x 5) (neg.f64 (fma.f64 -5/112 (pow.f64 x 7) x)))))
(/.f64 (-.f64 (.f64 (pow.f64 x 10) 9/1600) (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 2)) (-.f64 (.f64 3/40 (pow.f64 x 5)) (fma.f64 -5/112 (pow.f64 x 7) x)))
(.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x 5) 3) 27/64000) (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 3)) (/.f64 1 (+.f64 (.f64 (pow.f64 x 10) 9/1600) (.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (-.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (*.f64 3/40 (pow.f64 x 5)))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 5) 3) 27/64000 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 3)) (fma.f64 (pow.f64 x 10) 9/1600 (.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (+.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (.f64 -3/40 (pow.f64 x 5))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 5) 3) 27/64000 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 3)) (fma.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (+.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (.f64 (pow.f64 x 5) -3/40)) (.f64 (pow.f64 x 10) 9/1600)))
(.f64 (/.f64 1 (-.f64 (.f64 3/40 (pow.f64 x 5)) (fma.f64 -5/112 (pow.f64 x 7) x))) (-.f64 (*.f64 (pow.f64 x 10) 9/1600) (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 2)))
(-.f64 (*.f64 (/.f64 (pow.f64 x 10) (fma.f64 3/40 (pow.f64 x 5) (neg.f64 (fma.f64 -5/112 (pow.f64 x 7) x)))) 9/1600) (/.f64 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 2) (fma.f64 3/40 (pow.f64 x 5) (neg.f64 (fma.f64 -5/112 (pow.f64 x 7) x)))))
(/.f64 (-.f64 (.f64 (pow.f64 x 10) 9/1600) (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 2)) (-.f64 (.f64 3/40 (pow.f64 x 5)) (fma.f64 -5/112 (pow.f64 x 7) x)))
(.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 x 10) 9/1600) (.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (-.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (.f64 3/40 (pow.f64 x 5)))))) (+.f64 (*.f64 (pow.f64 (pow.f64 x 5) 3) 27/64000) (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 3)))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 5) 3) 27/64000 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 3)) (fma.f64 (pow.f64 x 10) 9/1600 (.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (+.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (.f64 -3/40 (pow.f64 x 5))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 5) 3) 27/64000 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 3)) (fma.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (+.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (.f64 (pow.f64 x 5) -3/40)) (.f64 (pow.f64 x 10) 9/1600)))
(.f64 (/.f64 (-.f64 (.f64 (pow.f64 x 10) 9/1600) (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 2)) (-.f64 (*.f64 (pow.f64 x 10) 9/1600) (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 2))) (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x)))
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))
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(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (pow.f64 (pow.f64 x 5) 3) 27/64000) 3) (pow.f64 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 3) 3)) (/.f64 1 (+.f64 (.f64 (pow.f64 x 10) 9/1600) (.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (-.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (.f64 3/40 (pow.f64 x 5))))))) (-.f64 (+.f64 (.f64 (.f64 (pow.f64 (pow.f64 x 5) 3) 27/64000) (.f64 (pow.f64 (pow.f64 x 5) 3) 27/64000)) (.f64 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 3) (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 3))) (.f64 (*.f64 (pow.f64 (pow.f64 x 5) 3) 27/64000) (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 3))))
(/.f64 (+.f64 (.f64 (pow.f64 (pow.f64 (pow.f64 x 5) 3) 3) 19683/262144000000000) (pow.f64 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 3) 3)) (.f64 (fma.f64 (pow.f64 x 10) 9/1600 (.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (+.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (.f64 -3/40 (pow.f64 x 5))))) (+.f64 (.f64 (.f64 (pow.f64 (pow.f64 x 5) 3) (pow.f64 (pow.f64 x 5) 3)) 729/4096000000) (-.f64 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 6) (.f64 (.f64 (pow.f64 (pow.f64 x 5) 3) 27/64000) (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 3))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 (pow.f64 x 5) 3) 3) 19683/262144000000000 (pow.f64 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 3) 3)) (.f64 (fma.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (+.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (.f64 (pow.f64 x 5) -3/40)) (.f64 (pow.f64 x 10) 9/1600)) (fma.f64 (pow.f64 (pow.f64 x 10) 3) 729/4096000000 (-.f64 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 6) (.f64 (*.f64 (pow.f64 (pow.f64 x 5) 3) 27/64000) (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 3))))))
(/.f64 (/.f64 (fma.f64 (pow.f64 (pow.f64 (pow.f64 x 5) 3) 3) 19683/262144000000000 (pow.f64 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 3) 3)) (+.f64 (fma.f64 (pow.f64 (pow.f64 x 10) 3) 729/4096000000 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 6)) (.f64 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 3) (.f64 (pow.f64 (pow.f64 x 5) 3) -27/64000)))) (fma.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (+.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (.f64 (pow.f64 x 5) -3/40)) (.f64 (pow.f64 x 10) 9/1600)))
(/.f64 (/.f64 (-.f64 (.f64 (pow.f64 x 10) 9/1600) (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 2)) 1) (-.f64 (.f64 3/40 (pow.f64 x 5)) (fma.f64 -5/112 (pow.f64 x 7) x)))
(-.f64 (*.f64 (/.f64 (pow.f64 x 10) (fma.f64 3/40 (pow.f64 x 5) (neg.f64 (fma.f64 -5/112 (pow.f64 x 7) x)))) 9/1600) (/.f64 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 2) (fma.f64 3/40 (pow.f64 x 5) (neg.f64 (fma.f64 -5/112 (pow.f64 x 7) x)))))
(/.f64 (-.f64 (.f64 (pow.f64 x 10) 9/1600) (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 2)) (-.f64 (.f64 3/40 (pow.f64 x 5)) (fma.f64 -5/112 (pow.f64 x 7) x)))
(/.f64 (/.f64 (-.f64 (.f64 (pow.f64 x 10) 9/1600) (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 2)) (sqrt.f64 (-.f64 (.f64 3/40 (pow.f64 x 5)) (fma.f64 -5/112 (pow.f64 x 7) x)))) (sqrt.f64 (-.f64 (*.f64 3/40 (pow.f64 x 5)) (fma.f64 -5/112 (pow.f64 x 7) x))))
(-.f64 (*.f64 (/.f64 (pow.f64 x 10) (fma.f64 3/40 (pow.f64 x 5) (neg.f64 (fma.f64 -5/112 (pow.f64 x 7) x)))) 9/1600) (/.f64 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 2) (fma.f64 3/40 (pow.f64 x 5) (neg.f64 (fma.f64 -5/112 (pow.f64 x 7) x)))))
(/.f64 (-.f64 (.f64 (pow.f64 x 10) 9/1600) (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 2)) (-.f64 (.f64 3/40 (pow.f64 x 5)) (fma.f64 -5/112 (pow.f64 x 7) x)))
(/.f64 (/.f64 (-.f64 (.f64 (pow.f64 x 10) 9/1600) (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 2)) (.f64 (cbrt.f64 (-.f64 (.f64 3/40 (pow.f64 x 5)) (fma.f64 -5/112 (pow.f64 x 7) x))) (cbrt.f64 (-.f64 (.f64 3/40 (pow.f64 x 5)) (fma.f64 -5/112 (pow.f64 x 7) x))))) (cbrt.f64 (-.f64 (*.f64 3/40 (pow.f64 x 5)) (fma.f64 -5/112 (pow.f64 x 7) x))))
(-.f64 (*.f64 (/.f64 (pow.f64 x 10) (fma.f64 3/40 (pow.f64 x 5) (neg.f64 (fma.f64 -5/112 (pow.f64 x 7) x)))) 9/1600) (/.f64 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 2) (fma.f64 3/40 (pow.f64 x 5) (neg.f64 (fma.f64 -5/112 (pow.f64 x 7) x)))))
(/.f64 (-.f64 (.f64 (pow.f64 x 10) 9/1600) (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 2)) (-.f64 (.f64 3/40 (pow.f64 x 5)) (fma.f64 -5/112 (pow.f64 x 7) x)))
(/.f64 (/.f64 (-.f64 (.f64 (pow.f64 x 10) 9/1600) (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 2)) (+.f64 (sqrt.f64 (fma.f64 -5/112 (pow.f64 x 7) x)) (.f64 (pow.f64 x 5/2) (sqrt.f64 3/40)))) (-.f64 (*.f64 (pow.f64 x 5/2) (sqrt.f64 3/40)) (sqrt.f64 (fma.f64 -5/112 (pow.f64 x 7) x))))
(/.f64 (-.f64 (.f64 (pow.f64 x 10) 9/1600) (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 2)) (.f64 (-.f64 (.f64 (pow.f64 x 5/2) (sqrt.f64 3/40)) (sqrt.f64 (fma.f64 -5/112 (pow.f64 x 7) x))) (+.f64 (sqrt.f64 (fma.f64 -5/112 (pow.f64 x 7) x)) (.f64 (pow.f64 x 5/2) (sqrt.f64 3/40)))))
(/.f64 (-.f64 (.f64 (pow.f64 x 10) 9/1600) (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 2)) (.f64 (fma.f64 (pow.f64 x 5/2) (sqrt.f64 3/40) (sqrt.f64 (fma.f64 -5/112 (pow.f64 x 7) x))) (-.f64 (*.f64 (pow.f64 x 5/2) (sqrt.f64 3/40)) (sqrt.f64 (fma.f64 -5/112 (pow.f64 x 7) x)))))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x 5) 3) 27/64000) (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 3)) 1) (+.f64 (.f64 (pow.f64 x 10) 9/1600) (.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (-.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (.f64 3/40 (pow.f64 x 5))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 5) 3) 27/64000 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 3)) (fma.f64 (pow.f64 x 10) 9/1600 (.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (+.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (.f64 -3/40 (pow.f64 x 5))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 5) 3) 27/64000 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 3)) (fma.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (+.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (.f64 (pow.f64 x 5) -3/40)) (.f64 (pow.f64 x 10) 9/1600)))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x 5) 3) 27/64000) (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 3)) (sqrt.f64 (+.f64 (.f64 (pow.f64 x 10) 9/1600) (.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (-.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (.f64 3/40 (pow.f64 x 5))))))) (sqrt.f64 (+.f64 (.f64 (pow.f64 x 10) 9/1600) (.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (-.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (*.f64 3/40 (pow.f64 x 5)))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 5) 3) 27/64000 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 3)) (fma.f64 (pow.f64 x 10) 9/1600 (.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (+.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (.f64 -3/40 (pow.f64 x 5))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 5) 3) 27/64000 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 3)) (fma.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (+.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (.f64 (pow.f64 x 5) -3/40)) (.f64 (pow.f64 x 10) 9/1600)))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x 5) 3) 27/64000) (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 3)) (.f64 (cbrt.f64 (+.f64 (.f64 (pow.f64 x 10) 9/1600) (.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (-.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (.f64 3/40 (pow.f64 x 5)))))) (cbrt.f64 (+.f64 (.f64 (pow.f64 x 10) 9/1600) (.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (-.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (.f64 3/40 (pow.f64 x 5)))))))) (cbrt.f64 (+.f64 (.f64 (pow.f64 x 10) 9/1600) (.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (-.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (*.f64 3/40 (pow.f64 x 5)))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 5) 3) 27/64000 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 3)) (fma.f64 (pow.f64 x 10) 9/1600 (.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (+.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (.f64 -3/40 (pow.f64 x 5))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 5) 3) 27/64000 (pow.f64 (fma.f64 -5/112 (pow.f64 x 7) x) 3)) (fma.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (+.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (.f64 (pow.f64 x 5) -3/40)) (.f64 (pow.f64 x 10) 9/1600)))
(pow.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x)) 1)
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))
(pow.f64 (sqrt.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))) 2)
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))
(pow.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))) 3)
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))
(pow.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x)) 3) 1/3)
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))
(sqrt.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x)) 2))
(fabs.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x)))
(log.f64 (exp.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))))
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x)))))
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))
(cbrt.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x)) 3))
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))
(expm1.f64 (log1p.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))))
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))
(exp.f64 (log.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))))
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))
(exp.f64 (*.f64 (log.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))) 1))
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))
(log1p.f64 (expm1.f64 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))))
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))
(fma.f64 (pow.f64 x 5) 3/40 (fma.f64 -5/112 (pow.f64 x 7) x))
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))
(fma.f64 1 (*.f64 3/40 (pow.f64 x 5)) (fma.f64 -5/112 (pow.f64 x 7) x))
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))
(fma.f64 1 (fma.f64 -5/112 (pow.f64 x 7) x) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))
(fma.f64 (sqrt.f64 (fma.f64 -5/112 (pow.f64 x 7) x)) (sqrt.f64 (fma.f64 -5/112 (pow.f64 x 7) x)) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))
(fma.f64 (.f64 (pow.f64 x 5/2) (sqrt.f64 3/40)) (.f64 (pow.f64 x 5/2) (sqrt.f64 3/40)) (fma.f64 -5/112 (pow.f64 x 7) x))
(+.f64 (fma.f64 -5/112 (pow.f64 x 7) x) (.f64 (pow.f64 x 5) (.f64 (sqrt.f64 3/40) (sqrt.f64 3/40))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -5/112 (pow.f64 x 7) x)) 2) (cbrt.f64 (fma.f64 -5/112 (pow.f64 x 7) x)) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 10) 9/1600)) (cbrt.f64 (.f64 3/40 (pow.f64 x 5))) (fma.f64 -5/112 (pow.f64 x 7) x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -5/112 (pow.f64 x 7)))) 1)
(*.f64 -5/112 (pow.f64 x 7))
(pow.f64 (*.f64 -5/112 (pow.f64 x 7)) 1)
(*.f64 -5/112 (pow.f64 x 7))
(pow.f64 (*.f64 (sqrt.f64 -5/112) (pow.f64 x 7/2)) 2)
(pow.f64 (cbrt.f64 (*.f64 -5/112 (pow.f64 x 7))) 3)
(*.f64 -5/112 (pow.f64 x 7))
(pow.f64 (pow.f64 (*.f64 -5/112 (pow.f64 x 7)) 3) 1/3)
(*.f64 -5/112 (pow.f64 x 7))
(sqrt.f64 (*.f64 25/12544 (pow.f64 x 14)))
(log.f64 (pow.f64 (exp.f64 -5/112) (pow.f64 x 7)))
(*.f64 -5/112 (pow.f64 x 7))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -5/112 (pow.f64 x 7)))))
(*.f64 -5/112 (pow.f64 x 7))
(cbrt.f64 (pow.f64 (*.f64 -5/112 (pow.f64 x 7)) 3))
(*.f64 -5/112 (pow.f64 x 7))
(expm1.f64 (log1p.f64 (*.f64 -5/112 (pow.f64 x 7))))
(*.f64 -5/112 (pow.f64 x 7))
(exp.f64 (log.f64 (*.f64 -5/112 (pow.f64 x 7))))
(*.f64 -5/112 (pow.f64 x 7))
(exp.f64 (.f64 (log.f64 (.f64 -5/112 (pow.f64 x 7))) 1))
(*.f64 -5/112 (pow.f64 x 7))
(log1p.f64 (expm1.f64 (*.f64 -5/112 (pow.f64 x 7))))
(*.f64 -5/112 (pow.f64 x 7))

localize86.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.6%	(log1p.f64 (.f64 (/.f64 (cbrt.f64 (+.f64 (+.f64 (neg.f64 (pow.f64 (+.f64 x -1) 2)) (.f64 x x)) 1)) (cbrt.f64 (+.f64 1 (-.f64 (hypot.f64 1 x) x)))) (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1))) 2)))
✓	4.43%	(+.f64 (+.f64 (neg.f64 (pow.f64 (+.f64 x -1) 2)) (*.f64 x x)) 1)
	7.03%	(+.f64 (hypot.f64 1 x) (+.f64 x -1))
✓	26.32%	(+.f64 (neg.f64 (pow.f64 (+.f64 x -1) 2)) (*.f64 x x))

Compiler

Compiled 194 to 141 computations (27.3% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(log1p.f64 (.f64 (/.f64 (cbrt.f64 (+.f64 (+.f64 (neg.f64 (pow.f64 (+.f64 x -1) 2)) (.f64 x x)) 1)) (cbrt.f64 (+.f64 1 (-.f64 (hypot.f64 1 x) x)))) (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1))) 2)))
1.0ms	x	@	inf	(log1p.f64 (.f64 (/.f64 (cbrt.f64 (+.f64 (+.f64 (neg.f64 (pow.f64 (+.f64 x -1) 2)) (.f64 x x)) 1)) (cbrt.f64 (+.f64 1 (-.f64 (hypot.f64 1 x) x)))) (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1))) 2)))
0.0ms	x	@	0	(log1p.f64 (.f64 (/.f64 (cbrt.f64 (+.f64 (+.f64 (neg.f64 (pow.f64 (+.f64 x -1) 2)) (.f64 x x)) 1)) (cbrt.f64 (+.f64 1 (-.f64 (hypot.f64 1 x) x)))) (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1))) 2)))
0.0ms	x	@	inf	(+.f64 (+.f64 (neg.f64 (pow.f64 (+.f64 x -1) 2)) (*.f64 x x)) 1)
0.0ms	x	@	inf	(+.f64 (neg.f64 (pow.f64 (+.f64 x -1) 2)) (*.f64 x x))

rewrite116.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

578×	`associate-+r+`
558×	`+-commutative`
544×	`add-sqr-sqrt`
532×	`*-un-lft-identity`
522×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	165
1	536	131
2	7561	131

Stop Event

1×	node limit

Counts

3 → 106

Calls

Call 1

Inputs

(+.f64 (neg.f64 (pow.f64 (+.f64 x -1) 2)) (*.f64 x x))

(+.f64 (+.f64 (neg.f64 (pow.f64 (+.f64 x -1) 2)) (*.f64 x x)) 1)

(log1p.f64 (*.f64 (/.f64 (cbrt.f64 (+.f64 (+.f64 (neg.f64 (pow.f64 (+.f64 x -1) 2)) (*.f64 x x)) 1)) (cbrt.f64 (+.f64 1 (-.f64 (hypot.f64 1 x) x)))) (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1))) 2)))

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 x x 1) (pow.f64 (+.f64 x -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (pow.f64 (+.f64 x -1) 2) (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (+.f64 2 (pow.f64 (hypot.f64 x (+.f64 x -1)) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 x (+.f64 x -1)) 2) 2) (+.f64 -1 (pow.f64 (hypot.f64 x (+.f64 x -1)) 2))) (/.f64 1 (+.f64 -1 (pow.f64 (hypot.f64 x (+.f64 x -1)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (pow.f64 (hypot.f64 x (+.f64 x -1)) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (hypot.f64 x (+.f64 x -1)) 2) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 (hypot.f64 x (+.f64 x -1)))) 2) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 (hypot.f64 x (+.f64 x -1)))) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (+.f64 x -1) 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egg-rr> (2) ((x exp.f64 (log1p.f64 (pow.f64 (hypot.f64 x (+.f64 x -1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (pow.f64 (hypot.f64 x (+.f64 x -1)) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (pow.f64 (hypot.f64 x (+.f64 x -1)) 2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (pow.f64 (+.f64 x -1) 2) (fma.f64 x x 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x -1) (+.f64 x -1) (fma.f64 x x 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 (+.f64 x -1) 2) (fma.f64 x x 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 (hypot.f64 x (+.f64 x -1)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 x) (hypot.f64 1 x) (pow.f64 (+.f64 x -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 x (+.f64 x -1)) (hypot.f64 x (+.f64 x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) 4)) (pow.f64 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log1p.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (hypot.f64 x (+.f64 x -1)) 2) 1) (+.f64 1 (-.f64 (hypot.f64 1 x) x))) (pow.f64 (+.f64 (+.f64 x -1) (hypot.f64 1 x)) 2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (hypot.f64 x (+.f64 x -1)) 2) 1) (+.f64 1 (-.f64 (hypot.f64 1 x) x))) (pow.f64 (+.f64 (+.f64 x -1) (hypot.f64 1 x)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (hypot.f64 x (+.f64 x -1)) 2) 1) (+.f64 1 (-.f64 (hypot.f64 1 x) x))) (pow.f64 (+.f64 (+.f64 x -1) (hypot.f64 1 x)) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (hypot.f64 x (+.f64 x -1)) 2) 1) (+.f64 1 (-.f64 (hypot.f64 1 x) x))) (pow.f64 (+.f64 (+.f64 x -1) (hypot.f64 1 x)) 2))))) (sqrt.f64 (log1p.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (hypot.f64 x (+.f64 x -1)) 2) 1) (+.f64 1 (-.f64 (hypot.f64 1 x) x))) (pow.f64 (+.f64 (+.f64 x -1) (hypot.f64 1 x)) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (hypot.f64 x (+.f64 x -1)) 2) 1) (+.f64 1 (-.f64 (hypot.f64 1 x) x))) (pow.f64 (+.f64 (+.f64 x -1) (hypot.f64 1 x)) 2))))) (pow.f64 (cbrt.f64 (log1p.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (hypot.f64 x (+.f64 x -1)) 2) 1) (+.f64 1 (-.f64 (hypot.f64 1 x) x))) (pow.f64 (+.f64 (+.f64 x -1) (hypot.f64 1 x)) 2))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (hypot.f64 x (+.f64 x -1)) 2) 1) (+.f64 1 (-.f64 (hypot.f64 1 x) x))) (pow.f64 (+.f64 (+.f64 x -1) (hypot.f64 1 x)) 2))))) 2) (cbrt.f64 (log1p.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (hypot.f64 x (+.f64 x -1)) 2) 1) (+.f64 1 (-.f64 (hypot.f64 1 x) x))) (pow.f64 (+.f64 (+.f64 x -1) (hypot.f64 1 x)) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (hypot.f64 x (+.f64 x -1)) 2) 1) (+.f64 1 (-.f64 (hypot.f64 1 x) x))) (pow.f64 (+.f64 (+.f64 x -1) (hypot.f64 1 x)) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (hypot.f64 x (+.f64 x -1)) 2) 1) (+.f64 1 (-.f64 (hypot.f64 1 x) x))) (pow.f64 (+.f64 (+.f64 x -1) (hypot.f64 1 x)) 2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (hypot.f64 x (+.f64 x -1)) 2) 1) (+.f64 1 (-.f64 (hypot.f64 1 x) x))) (pow.f64 (+.f64 (+.f64 x -1) (hypot.f64 1 x)) 2))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (hypot.f64 x (+.f64 x -1)) 2) 1) (+.f64 1 (-.f64 (hypot.f64 1 x) x))) (pow.f64 (+.f64 (+.f64 x -1) (hypot.f64 1 x)) 2)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (hypot.f64 x (+.f64 x -1)) 2) 1) (+.f64 1 (-.f64 (hypot.f64 1 x) x))) (pow.f64 (+.f64 (+.f64 x -1) (hypot.f64 1 x)) 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (cbrt.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (hypot.f64 x (+.f64 x -1)) 2) 1) (+.f64 1 (-.f64 (hypot.f64 1 x) x))) (pow.f64 (+.f64 (+.f64 x -1) (hypot.f64 1 x)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (hypot.f64 x (+.f64 x -1)) 2) 1) (+.f64 1 (-.f64 (hypot.f64 1 x) x))) (pow.f64 (+.f64 (+.f64 x -1) (hypot.f64 1 x)) 2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (hypot.f64 x (+.f64 x -1)) 2) 1) (+.f64 1 (-.f64 (hypot.f64 1 x) x))) (pow.f64 (+.f64 (+.f64 x -1) (hypot.f64 1 x)) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (hypot.f64 x (+.f64 x -1)) 2) 1) (+.f64 1 (-.f64 (hypot.f64 1 x) x))) (pow.f64 (+.f64 (+.f64 x -1) (hypot.f64 1 x)) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log1p.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (hypot.f64 x (+.f64 x -1)) 2) 1) (+.f64 1 (-.f64 (hypot.f64 1 x) x))) (pow.f64 (+.f64 (+.f64 x -1) (hypot.f64 1 x)) 2))))) 1))))))

simplify104.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1498×	`associate-/l*`
1496×	`associate-/r*`
754×	`associate-+r+`
730×	`associate-+l+`
646×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	371	7042
1	942	6622
2	3839	6412

Stop Event

1×	node limit

Counts

142 → 192

Calls

Call 1

Inputs
-1
(-.f64 (*.f64 2 x) 1)
(-.f64 (*.f64 2 x) 1)
(-.f64 (*.f64 2 x) 1)
(*.f64 2 x)
(-.f64 (*.f64 2 x) 1)
(-.f64 (*.f64 2 x) 1)
(-.f64 (*.f64 2 x) 1)
(*.f64 2 x)
(-.f64 (*.f64 2 x) 1)
(-.f64 (*.f64 2 x) 1)
(-.f64 (*.f64 2 x) 1)
(*.f64 2 x)
(*.f64 2 x)
(*.f64 2 x)
(*.f64 2 x)
(*.f64 2 x)
(*.f64 2 x)
(*.f64 2 x)
(*.f64 2 x)
(*.f64 2 x)
(*.f64 2 x)
(*.f64 2 x)
(*.f64 2 x)
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (.f64 1/2 (/.f64 (-.f64 1 (.f64 4 (/.f64 1 (cbrt.f64 4)))) x)) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)))
(+.f64 (.f64 1/2 (/.f64 (-.f64 1 (.f64 4 (/.f64 1 (cbrt.f64 4)))) x)) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (.f64 1/2 (/.f64 (+.f64 (.f64 -1/4 (pow.f64 (-.f64 1 (.f64 4 (/.f64 1 (cbrt.f64 4)))) 2)) (.f64 1/12 (-.f64 12 (.f64 96 (/.f64 1 (pow.f64 (cbrt.f64 4) 2)))))) (pow.f64 x 2))))))
(+.f64 (.f64 1/2 (/.f64 (-.f64 1 (.f64 4 (/.f64 1 (cbrt.f64 4)))) x)) (+.f64 (.f64 1/6 (/.f64 (+.f64 (.f64 1/4 (pow.f64 (-.f64 1 (.f64 4 (/.f64 1 (cbrt.f64 4)))) 3)) (+.f64 (.f64 1/4 (-.f64 9 (.f64 -4 (/.f64 (-.f64 12 (.f64 96 (/.f64 1 (pow.f64 (cbrt.f64 4) 2)))) (cbrt.f64 4))))) (.f64 -1/8 (.f64 (-.f64 12 (.f64 96 (/.f64 1 (pow.f64 (cbrt.f64 4) 2)))) (-.f64 1 (.f64 4 (/.f64 1 (cbrt.f64 4)))))))) (pow.f64 x 3))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (.f64 1/2 (/.f64 (+.f64 (.f64 -1/4 (pow.f64 (-.f64 1 (.f64 4 (/.f64 1 (cbrt.f64 4)))) 2)) (.f64 1/12 (-.f64 12 (.f64 96 (/.f64 1 (pow.f64 (cbrt.f64 4) 2)))))) (pow.f64 x 2)))))))
(log.f64 (+.f64 1 (cbrt.f64 -1)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (/.f64 1 (*.f64 (+.f64 1 (cbrt.f64 -1)) x)))) (log.f64 (+.f64 1 (cbrt.f64 -1))))
(+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -2/3 (/.f64 (+.f64 3/4 (.f64 3/4 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (.f64 (+.f64 1 (cbrt.f64 -1)) (pow.f64 (cbrt.f64 -1) 2)))) (.f64 -1/4 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3) (/.f64 1 (pow.f64 (+.f64 1 (cbrt.f64 -1)) 2))))) (pow.f64 x 2))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (/.f64 1 (*.f64 (+.f64 1 (cbrt.f64 -1)) x)))) (log.f64 (+.f64 1 (cbrt.f64 -1)))))
(+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -2/3 (/.f64 (+.f64 3/4 (.f64 3/4 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (.f64 (+.f64 1 (cbrt.f64 -1)) (pow.f64 (cbrt.f64 -1) 2)))) (.f64 -1/4 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3) (/.f64 1 (pow.f64 (+.f64 1 (cbrt.f64 -1)) 2))))) (pow.f64 x 2))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (/.f64 1 (.f64 (+.f64 1 (cbrt.f64 -1)) x)))) (+.f64 (log.f64 (+.f64 1 (cbrt.f64 -1))) (.f64 -1/6 (/.f64 (+.f64 (.f64 1/4 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (cbrt.f64 -1)) 3) (pow.f64 (cbrt.f64 -1) 2)))) (+.f64 (.f64 (/.f64 (+.f64 3/4 (.f64 3/4 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (pow.f64 (+.f64 1 (cbrt.f64 -1)) 2)) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 8)) 1/3)) (.f64 -2 (/.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (+.f64 3/4 (.f64 3/4 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))) (+.f64 1/4 (+.f64 (.f64 -1/2 (.f64 (+.f64 3/4 (.f64 3/4 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3))) (.f64 1/8 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))))) (*.f64 (+.f64 1 (cbrt.f64 -1)) (pow.f64 (cbrt.f64 -1) 2)))))) (pow.f64 x 3))))))
(-.f64 (*.f64 x x) (pow.f64 (+.f64 x -1) 2))
(-.f64 (+.f64 (pow.f64 (hypot.f64 x (+.f64 x -1)) 2) 1) 1)
(-.f64 0 (-.f64 (pow.f64 (+.f64 x -1) 2) (*.f64 x x)))
(-.f64 (+.f64 (*.f64 x x) 0) (pow.f64 (+.f64 x -1) 2))
(-.f64 (/.f64 (pow.f64 (+.f64 x -1) 4) (-.f64 (pow.f64 (+.f64 x -1) 2) (.f64 x x))) (/.f64 (pow.f64 x 4) (-.f64 (pow.f64 (+.f64 x -1) 2) (.f64 x x))))
(*.f64 (pow.f64 (hypot.f64 x (+.f64 x -1)) 2) 1)
(*.f64 1 (pow.f64 (hypot.f64 x (+.f64 x -1)) 2))
(*.f64 (hypot.f64 x (+.f64 x -1)) (hypot.f64 x (+.f64 x -1)))
(.f64 (hypot.f64 x (+.f64 x -1)) (.f64 (hypot.f64 x (+.f64 x -1)) 1))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 x (+.f64 x -1)) 2)) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x (+.f64 x -1)) 2)) 2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x (+.f64 x -1)) 2)) 2) (cbrt.f64 (pow.f64 (hypot.f64 x (+.f64 x -1)) 2)))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x (+.f64 x -1)) 2)) 2) (.f64 (cbrt.f64 (pow.f64 (hypot.f64 x (+.f64 x -1)) 2)) 1))
(.f64 (-.f64 (pow.f64 (+.f64 x -1) 4) (pow.f64 x 4)) (/.f64 1 (-.f64 (pow.f64 (+.f64 x -1) 2) (.f64 x x))))
(.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 x -1) 2) 3) (pow.f64 x 6)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x -1) 4) (.f64 (*.f64 x x) (pow.f64 (hypot.f64 x (+.f64 x -1)) 2)))))
(/.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 x -1) 2) (*.f64 x x)) (-.f64 (pow.f64 (+.f64 x -1) 4) (pow.f64 x 4))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x -1) 4) (.f64 (.f64 x x) (pow.f64 (hypot.f64 x (+.f64 x -1)) 2))) (+.f64 (pow.f64 (pow.f64 (+.f64 x -1) 2) 3) (pow.f64 x 6))))
(/.f64 (-.f64 (pow.f64 (+.f64 x -1) 4) (pow.f64 x 4)) (-.f64 (pow.f64 (+.f64 x -1) 2) (*.f64 x x)))
(/.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 x -1) 2) 3) (pow.f64 x 6)) (+.f64 (pow.f64 (+.f64 x -1) 4) (.f64 (.f64 x x) (pow.f64 (hypot.f64 x (+.f64 x -1)) 2))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 x -1) 2) 3) (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (-.f64 (pow.f64 (+.f64 x -1) 4) (.f64 (pow.f64 (+.f64 x -1) 2) (.f64 x x)))))
(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 x -1) 4) (pow.f64 x 4)) 1) (-.f64 (pow.f64 (+.f64 x -1) 2) (.f64 x x)))
(/.f64 (.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 x -1) 2) 3) (pow.f64 x 6)) 1) (+.f64 (pow.f64 (+.f64 x -1) 4) (.f64 (*.f64 x x) (pow.f64 (hypot.f64 x (+.f64 x -1)) 2))))
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 (+.f64 x -1) 4)) (pow.f64 (hypot.f64 x (+.f64 x -1)) 2))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x -1) 4) (pow.f64 x 4))) (neg.f64 (-.f64 (pow.f64 (+.f64 x -1) 2) (*.f64 x x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 x -1) 2) 3) (pow.f64 x 6))) (neg.f64 (+.f64 (pow.f64 (+.f64 x -1) 4) (.f64 (.f64 x x) (pow.f64 (hypot.f64 x (+.f64 x -1)) 2)))))
(pow.f64 (pow.f64 (hypot.f64 x (+.f64 x -1)) 2) 1)
(pow.f64 (hypot.f64 x (+.f64 x -1)) 2)
(pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x (+.f64 x -1)) 2)) 3)
(pow.f64 (pow.f64 (pow.f64 (hypot.f64 x (+.f64 x -1)) 2) 3) 1/3)
(sqrt.f64 (pow.f64 (pow.f64 (hypot.f64 x (+.f64 x -1)) 2) 2))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 x (+.f64 x -1)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (hypot.f64 x (+.f64 x -1)) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 x (+.f64 x -1)) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 x (+.f64 x -1)) 2)))
(exp.f64 (log.f64 (pow.f64 (hypot.f64 x (+.f64 x -1)) 2)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 x (+.f64 x -1)) 2)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 x (+.f64 x -1)) 2)))
(fma.f64 x x (pow.f64 (+.f64 x -1) 2))
(fma.f64 -1 (pow.f64 (+.f64 x -1) 2) (*.f64 x x))
(fma.f64 (+.f64 x -1) (+.f64 x -1) (*.f64 x x))
(fma.f64 1 (pow.f64 (+.f64 x -1) 2) (*.f64 x x))
(fma.f64 1 (*.f64 x x) (pow.f64 (+.f64 x -1) 2))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) 4)) (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) (*.f64 x x))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (pow.f64 (+.f64 x -1) 2))
(-.f64 (fma.f64 x x 1) (pow.f64 (+.f64 x -1) 2))
(-.f64 0 (-.f64 (pow.f64 (+.f64 x -1) 2) (fma.f64 x x 1)))
(-.f64 (exp.f64 (log.f64 (+.f64 2 (pow.f64 (hypot.f64 x (+.f64 x -1)) 2)))) 1)
(-.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 x (+.f64 x -1)) 2) 2) (+.f64 -1 (pow.f64 (hypot.f64 x (+.f64 x -1)) 2))) (/.f64 1 (+.f64 -1 (pow.f64 (hypot.f64 x (+.f64 x -1)) 2))))
(*.f64 1 (+.f64 (pow.f64 (hypot.f64 x (+.f64 x -1)) 2) 1))
(*.f64 (+.f64 (pow.f64 (hypot.f64 x (+.f64 x -1)) 2) 1) 1)
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 (hypot.f64 x (+.f64 x -1)))) 2) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 (hypot.f64 x (+.f64 x -1)))) 2) 2))
(*.f64 (+.f64 (+.f64 x -1) (hypot.f64 1 x)) (-.f64 (hypot.f64 1 x) (+.f64 x -1)))
(*.f64 (hypot.f64 1 (hypot.f64 x (+.f64 x -1))) (hypot.f64 1 (hypot.f64 x (+.f64 x -1))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 (hypot.f64 x (+.f64 x -1)))) 2) 2) (pow.f64 (cbrt.f64 (hypot.f64 1 (hypot.f64 x (+.f64 x -1)))) 2))
(*.f64 (+.f64 -1 (pow.f64 (pow.f64 (hypot.f64 x (+.f64 x -1)) 2) 2)) (/.f64 1 (+.f64 -1 (pow.f64 (hypot.f64 x (+.f64 x -1)) 2))))
(*.f64 (+.f64 1 (pow.f64 (pow.f64 (hypot.f64 x (+.f64 x -1)) 2) 3)) (/.f64 1 (+.f64 (pow.f64 (pow.f64 (hypot.f64 x (+.f64 x -1)) 2) 2) (-.f64 1 (pow.f64 (hypot.f64 x (+.f64 x -1)) 2)))))
(.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 (hypot.f64 x (+.f64 x -1)))) 2) 2) 1) (pow.f64 (cbrt.f64 (hypot.f64 1 (hypot.f64 x (+.f64 x -1)))) 2))
(.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 (hypot.f64 x (+.f64 x -1)))) 2) 2) (cbrt.f64 (hypot.f64 1 (hypot.f64 x (+.f64 x -1))))) (cbrt.f64 (hypot.f64 1 (hypot.f64 x (+.f64 x -1)))))
(.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 (hypot.f64 x (+.f64 x -1)))) 2) 2) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 (hypot.f64 x (+.f64 x -1)))) 2)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 (hypot.f64 x (+.f64 x -1)))) 2)))
(/.f64 1 (/.f64 (+.f64 -1 (pow.f64 (hypot.f64 x (+.f64 x -1)) 2)) (+.f64 -1 (pow.f64 (pow.f64 (hypot.f64 x (+.f64 x -1)) 2) 2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 x (+.f64 x -1)) 2) 2) (-.f64 1 (pow.f64 (hypot.f64 x (+.f64 x -1)) 2))) (+.f64 1 (pow.f64 (pow.f64 (hypot.f64 x (+.f64 x -1)) 2) 3))))
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 (hypot.f64 x (+.f64 x -1)) 2) 2)) (+.f64 -1 (pow.f64 (hypot.f64 x (+.f64 x -1)) 2)))
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (hypot.f64 x (+.f64 x -1)) 2) 3)) (+.f64 (pow.f64 (pow.f64 (hypot.f64 x (+.f64 x -1)) 2) 2) (-.f64 1 (pow.f64 (hypot.f64 x (+.f64 x -1)) 2))))
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (hypot.f64 x (+.f64 x -1)) 2) 3)) (+.f64 1 (-.f64 (pow.f64 (pow.f64 (hypot.f64 x (+.f64 x -1)) 2) 2) (pow.f64 (hypot.f64 x (+.f64 x -1)) 2))))
(/.f64 (-.f64 (pow.f64 (+.f64 x -1) 4) (*.f64 (fma.f64 x x 1) (fma.f64 x x 1))) (-.f64 (pow.f64 (+.f64 x -1) 2) (fma.f64 x x 1)))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (hypot.f64 x (+.f64 x -1)) 2) 2)) (-.f64 1 (pow.f64 (hypot.f64 x (+.f64 x -1)) 2)))
(/.f64 (-.f64 (*.f64 (fma.f64 x x 1) (fma.f64 x x 1)) (pow.f64 (+.f64 x -1) 4)) (+.f64 (pow.f64 (hypot.f64 x (+.f64 x -1)) 2) 1))
(/.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 x -1) 2) 3) (pow.f64 (fma.f64 x x 1) 3)) (+.f64 (pow.f64 (+.f64 x -1) 4) (-.f64 (.f64 (fma.f64 x x 1) (fma.f64 x x 1)) (.f64 (pow.f64 (+.f64 x -1) 2) (fma.f64 x x 1)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x x 1) 3) (pow.f64 (pow.f64 (+.f64 x -1) 2) 3)) (+.f64 (+.f64 (.f64 (fma.f64 x x 1) (fma.f64 x x 1)) (pow.f64 (+.f64 x -1) 4)) (.f64 (fma.f64 x x 1) (pow.f64 (+.f64 x -1) 2))))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (pow.f64 (hypot.f64 x (+.f64 x -1)) 2) 2))) (neg.f64 (+.f64 -1 (pow.f64 (hypot.f64 x (+.f64 x -1)) 2))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (pow.f64 (hypot.f64 x (+.f64 x -1)) 2) 3))) (neg.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 x (+.f64 x -1)) 2) 2) (-.f64 1 (pow.f64 (hypot.f64 x (+.f64 x -1)) 2)))))
(pow.f64 (+.f64 (pow.f64 (hypot.f64 x (+.f64 x -1)) 2) 1) 1)
(pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 (hypot.f64 x (+.f64 x -1)))) 2) 3)
(pow.f64 (hypot.f64 1 (hypot.f64 x (+.f64 x -1))) 2)
(pow.f64 (pow.f64 (+.f64 (pow.f64 (hypot.f64 x (+.f64 x -1)) 2) 1) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (pow.f64 (hypot.f64 x (+.f64 x -1)) 2) 1) 2))
(log.f64 (exp.f64 (+.f64 (pow.f64 (hypot.f64 x (+.f64 x -1)) 2) 1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (pow.f64 (hypot.f64 x (+.f64 x -1)) 2) 1))))
(cbrt.f64 (pow.f64 (+.f64 (pow.f64 (hypot.f64 x (+.f64 x -1)) 2) 1) 3))
(expm1.f64 (log.f64 (+.f64 2 (pow.f64 (hypot.f64 x (+.f64 x -1)) 2))))
(exp.f64 (log1p.f64 (pow.f64 (hypot.f64 x (+.f64 x -1)) 2)))
(exp.f64 (*.f64 (log1p.f64 (pow.f64 (hypot.f64 x (+.f64 x -1)) 2)) 1))
(log1p.f64 (expm1.f64 (+.f64 (pow.f64 (hypot.f64 x (+.f64 x -1)) 2) 1)))
(fma.f64 -1 (pow.f64 (+.f64 x -1) 2) (fma.f64 x x 1))
(fma.f64 (+.f64 x -1) (+.f64 x -1) (fma.f64 x x 1))
(fma.f64 1 (pow.f64 (+.f64 x -1) 2) (fma.f64 x x 1))
(fma.f64 1 (pow.f64 (hypot.f64 x (+.f64 x -1)) 2) 1)
(fma.f64 (hypot.f64 1 x) (hypot.f64 1 x) (pow.f64 (+.f64 x -1) 2))
(fma.f64 (hypot.f64 x (+.f64 x -1)) (hypot.f64 x (+.f64 x -1)) 1)
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) 4)) (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) (fma.f64 x x 1))
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x (+.f64 x -1)) 2)) 2) (cbrt.f64 (pow.f64 (hypot.f64 x (+.f64 x -1)) 2)) 1)
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (hypot.f64 x (+.f64 x -1)) 2) 1) (+.f64 1 (-.f64 (hypot.f64 1 x) x))) (pow.f64 (+.f64 (+.f64 x -1) (hypot.f64 1 x)) 2)))))) 1)
(.f64 1 (log1p.f64 (cbrt.f64 (.f64 (/.f64 (+.f64 (pow.f64 (hypot.f64 x (+.f64 x -1)) 2) 1) (+.f64 1 (-.f64 (hypot.f64 1 x) x))) (pow.f64 (+.f64 (+.f64 x -1) (hypot.f64 1 x)) 2)))))
(.f64 (log1p.f64 (cbrt.f64 (.f64 (/.f64 (+.f64 (pow.f64 (hypot.f64 x (+.f64 x -1)) 2) 1) (+.f64 1 (-.f64 (hypot.f64 1 x) x))) (pow.f64 (+.f64 (+.f64 x -1) (hypot.f64 1 x)) 2)))) 1)
(.f64 (sqrt.f64 (log1p.f64 (cbrt.f64 (.f64 (/.f64 (+.f64 (pow.f64 (hypot.f64 x (+.f64 x -1)) 2) 1) (+.f64 1 (-.f64 (hypot.f64 1 x) x))) (pow.f64 (+.f64 (+.f64 x -1) (hypot.f64 1 x)) 2))))) (sqrt.f64 (log1p.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (hypot.f64 x (+.f64 x -1)) 2) 1) (+.f64 1 (-.f64 (hypot.f64 1 x) x))) (pow.f64 (+.f64 (+.f64 x -1) (hypot.f64 1 x)) 2))))))
(.f64 (cbrt.f64 (log1p.f64 (cbrt.f64 (.f64 (/.f64 (+.f64 (pow.f64 (hypot.f64 x (+.f64 x -1)) 2) 1) (+.f64 1 (-.f64 (hypot.f64 1 x) x))) (pow.f64 (+.f64 (+.f64 x -1) (hypot.f64 1 x)) 2))))) (pow.f64 (cbrt.f64 (log1p.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (hypot.f64 x (+.f64 x -1)) 2) 1) (+.f64 1 (-.f64 (hypot.f64 1 x) x))) (pow.f64 (+.f64 (+.f64 x -1) (hypot.f64 1 x)) 2))))) 2))
(.f64 (pow.f64 (cbrt.f64 (log1p.f64 (cbrt.f64 (.f64 (/.f64 (+.f64 (pow.f64 (hypot.f64 x (+.f64 x -1)) 2) 1) (+.f64 1 (-.f64 (hypot.f64 1 x) x))) (pow.f64 (+.f64 (+.f64 x -1) (hypot.f64 1 x)) 2))))) 2) (cbrt.f64 (log1p.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (hypot.f64 x (+.f64 x -1)) 2) 1) (+.f64 1 (-.f64 (hypot.f64 1 x) x))) (pow.f64 (+.f64 (+.f64 x -1) (hypot.f64 1 x)) 2))))))
(pow.f64 (log1p.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (hypot.f64 x (+.f64 x -1)) 2) 1) (+.f64 1 (-.f64 (hypot.f64 1 x) x))) (pow.f64 (+.f64 (+.f64 x -1) (hypot.f64 1 x)) 2)))) 1)
(pow.f64 (sqrt.f64 (log1p.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (hypot.f64 x (+.f64 x -1)) 2) 1) (+.f64 1 (-.f64 (hypot.f64 1 x) x))) (pow.f64 (+.f64 (+.f64 x -1) (hypot.f64 1 x)) 2))))) 2)
(pow.f64 (cbrt.f64 (log1p.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (hypot.f64 x (+.f64 x -1)) 2) 1) (+.f64 1 (-.f64 (hypot.f64 1 x) x))) (pow.f64 (+.f64 (+.f64 x -1) (hypot.f64 1 x)) 2))))) 3)
(pow.f64 (pow.f64 (log1p.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (hypot.f64 x (+.f64 x -1)) 2) 1) (+.f64 1 (-.f64 (hypot.f64 1 x) x))) (pow.f64 (+.f64 (+.f64 x -1) (hypot.f64 1 x)) 2)))) 3) 1/3)
(sqrt.f64 (pow.f64 (log1p.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (hypot.f64 x (+.f64 x -1)) 2) 1) (+.f64 1 (-.f64 (hypot.f64 1 x) x))) (pow.f64 (+.f64 (+.f64 x -1) (hypot.f64 1 x)) 2)))) 2))
(log.f64 (+.f64 1 (cbrt.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (hypot.f64 x (+.f64 x -1)) 2) 1) (+.f64 1 (-.f64 (hypot.f64 1 x) x))) (pow.f64 (+.f64 (+.f64 x -1) (hypot.f64 1 x)) 2)))))
(cbrt.f64 (pow.f64 (log1p.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (hypot.f64 x (+.f64 x -1)) 2) 1) (+.f64 1 (-.f64 (hypot.f64 1 x) x))) (pow.f64 (+.f64 (+.f64 x -1) (hypot.f64 1 x)) 2)))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (hypot.f64 x (+.f64 x -1)) 2) 1) (+.f64 1 (-.f64 (hypot.f64 1 x) x))) (pow.f64 (+.f64 (+.f64 x -1) (hypot.f64 1 x)) 2))))))
(exp.f64 (log.f64 (log1p.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (hypot.f64 x (+.f64 x -1)) 2) 1) (+.f64 1 (-.f64 (hypot.f64 1 x) x))) (pow.f64 (+.f64 (+.f64 x -1) (hypot.f64 1 x)) 2))))))
(exp.f64 (.f64 (log.f64 (log1p.f64 (cbrt.f64 (.f64 (/.f64 (+.f64 (pow.f64 (hypot.f64 x (+.f64 x -1)) 2) 1) (+.f64 1 (-.f64 (hypot.f64 1 x) x))) (pow.f64 (+.f64 (+.f64 x -1) (hypot.f64 1 x)) 2))))) 1))

Outputs
-1
(-.f64 (*.f64 2 x) 1)
(fma.f64 2 x -1)
(-.f64 (*.f64 2 x) 1)
(fma.f64 2 x -1)
(-.f64 (*.f64 2 x) 1)
(fma.f64 2 x -1)
(*.f64 2 x)
(-.f64 (*.f64 2 x) 1)
(fma.f64 2 x -1)
(-.f64 (*.f64 2 x) 1)
(fma.f64 2 x -1)
(-.f64 (*.f64 2 x) 1)
(fma.f64 2 x -1)
(*.f64 2 x)
(-.f64 (*.f64 2 x) 1)
(fma.f64 2 x -1)
(-.f64 (*.f64 2 x) 1)
(fma.f64 2 x -1)
(-.f64 (*.f64 2 x) 1)
(fma.f64 2 x -1)
(*.f64 2 x)
(*.f64 2 x)
(*.f64 2 x)
(*.f64 2 x)
(*.f64 2 x)
(*.f64 2 x)
(*.f64 2 x)
(*.f64 2 x)
(*.f64 2 x)
(*.f64 2 x)
(*.f64 2 x)
(*.f64 2 x)
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 2))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (.f64 1/2 (/.f64 (-.f64 1 (.f64 4 (/.f64 1 (cbrt.f64 4)))) x)) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)))
(fma.f64 1/2 (/.f64 (-.f64 1 (/.f64 4 (cbrt.f64 4))) x) (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 2)))
(+.f64 (log.f64 2) (fma.f64 1/2 (/.f64 (+.f64 1 (/.f64 -4 (cbrt.f64 4))) x) (log.f64 x)))
(+.f64 (log.f64 2) (+.f64 (log.f64 x) (/.f64 (+.f64 1/2 (/.f64 -2 (cbrt.f64 4))) x)))
(+.f64 (.f64 1/2 (/.f64 (-.f64 1 (.f64 4 (/.f64 1 (cbrt.f64 4)))) x)) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (.f64 1/2 (/.f64 (+.f64 (.f64 -1/4 (pow.f64 (-.f64 1 (.f64 4 (/.f64 1 (cbrt.f64 4)))) 2)) (.f64 1/12 (-.f64 12 (.f64 96 (/.f64 1 (pow.f64 (cbrt.f64 4) 2)))))) (pow.f64 x 2))))))
(fma.f64 1/2 (/.f64 (-.f64 1 (/.f64 4 (cbrt.f64 4))) x) (+.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 2)) (.f64 1/2 (/.f64 (fma.f64 -1/4 (pow.f64 (-.f64 1 (/.f64 4 (cbrt.f64 4))) 2) (.f64 1/12 (-.f64 12 (/.f64 96 (pow.f64 (cbrt.f64 4) 2))))) (*.f64 x x)))))
(+.f64 (fma.f64 1/2 (/.f64 (fma.f64 -1/4 (pow.f64 (+.f64 1 (/.f64 -4 (cbrt.f64 4))) 2) (+.f64 1 (.f64 (/.f64 -96 (pow.f64 (cbrt.f64 4) 2)) 1/12))) (.f64 x x)) (log.f64 2)) (fma.f64 1/2 (/.f64 (+.f64 1 (/.f64 -4 (cbrt.f64 4))) x) (log.f64 x)))
(+.f64 (fma.f64 1/2 (/.f64 (fma.f64 -1/4 (pow.f64 (+.f64 1 (/.f64 -4 (cbrt.f64 4))) 2) (+.f64 1 (/.f64 -8 (pow.f64 (cbrt.f64 4) 2)))) (*.f64 x x)) (log.f64 2)) (+.f64 (log.f64 x) (/.f64 (+.f64 1/2 (/.f64 -2 (cbrt.f64 4))) x)))
(+.f64 (.f64 1/2 (/.f64 (-.f64 1 (.f64 4 (/.f64 1 (cbrt.f64 4)))) x)) (+.f64 (.f64 1/6 (/.f64 (+.f64 (.f64 1/4 (pow.f64 (-.f64 1 (.f64 4 (/.f64 1 (cbrt.f64 4)))) 3)) (+.f64 (.f64 1/4 (-.f64 9 (.f64 -4 (/.f64 (-.f64 12 (.f64 96 (/.f64 1 (pow.f64 (cbrt.f64 4) 2)))) (cbrt.f64 4))))) (.f64 -1/8 (.f64 (-.f64 12 (.f64 96 (/.f64 1 (pow.f64 (cbrt.f64 4) 2)))) (-.f64 1 (.f64 4 (/.f64 1 (cbrt.f64 4)))))))) (pow.f64 x 3))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (.f64 1/2 (/.f64 (+.f64 (.f64 -1/4 (pow.f64 (-.f64 1 (.f64 4 (/.f64 1 (cbrt.f64 4)))) 2)) (.f64 1/12 (-.f64 12 (.f64 96 (/.f64 1 (pow.f64 (cbrt.f64 4) 2)))))) (pow.f64 x 2)))))))
(fma.f64 1/2 (/.f64 (-.f64 1 (/.f64 4 (cbrt.f64 4))) x) (fma.f64 1/6 (/.f64 (fma.f64 1/4 (pow.f64 (-.f64 1 (/.f64 4 (cbrt.f64 4))) 3) (fma.f64 1/4 (-.f64 9 (/.f64 (.f64 -4 (-.f64 12 (/.f64 96 (pow.f64 (cbrt.f64 4) 2)))) (cbrt.f64 4))) (.f64 (.f64 -1/8 (-.f64 12 (/.f64 96 (pow.f64 (cbrt.f64 4) 2)))) (-.f64 1 (/.f64 4 (cbrt.f64 4)))))) (pow.f64 x 3)) (+.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 2)) (.f64 1/2 (/.f64 (fma.f64 -1/4 (pow.f64 (-.f64 1 (/.f64 4 (cbrt.f64 4))) 2) (.f64 1/12 (-.f64 12 (/.f64 96 (pow.f64 (cbrt.f64 4) 2))))) (.f64 x x))))))
(fma.f64 1/2 (/.f64 (+.f64 1 (/.f64 -4 (cbrt.f64 4))) x) (+.f64 (fma.f64 1/2 (/.f64 (fma.f64 -1/4 (pow.f64 (+.f64 1 (/.f64 -4 (cbrt.f64 4))) 2) (+.f64 1 (.f64 (/.f64 -96 (pow.f64 (cbrt.f64 4) 2)) 1/12))) (.f64 x x)) (log.f64 2)) (fma.f64 1/6 (/.f64 (fma.f64 1/4 (pow.f64 (+.f64 1 (/.f64 -4 (cbrt.f64 4))) 3) (fma.f64 1/4 (-.f64 9 (/.f64 (+.f64 -48 (.f64 (/.f64 -96 (pow.f64 (cbrt.f64 4) 2)) -4)) (cbrt.f64 4))) (.f64 (+.f64 1 (/.f64 -4 (cbrt.f64 4))) (+.f64 -3/2 (*.f64 -1/8 (/.f64 -96 (pow.f64 (cbrt.f64 4) 2))))))) (pow.f64 x 3)) (log.f64 x))))
(+.f64 (/.f64 (+.f64 1/2 (/.f64 -2 (cbrt.f64 4))) x) (+.f64 (fma.f64 1/2 (/.f64 (fma.f64 -1/4 (pow.f64 (+.f64 1 (/.f64 -4 (cbrt.f64 4))) 2) (+.f64 1 (/.f64 -8 (pow.f64 (cbrt.f64 4) 2)))) (.f64 x x)) (log.f64 2)) (fma.f64 1/6 (/.f64 (fma.f64 1/4 (pow.f64 (+.f64 1 (/.f64 -4 (cbrt.f64 4))) 3) (fma.f64 1/4 (-.f64 9 (/.f64 (+.f64 -48 (/.f64 384 (pow.f64 (cbrt.f64 4) 2))) (cbrt.f64 4))) (.f64 (+.f64 1 (/.f64 -4 (cbrt.f64 4))) (+.f64 -3/2 (/.f64 12 (pow.f64 (cbrt.f64 4) 2)))))) (pow.f64 x 3)) (log.f64 x))))
(log.f64 (+.f64 1 (cbrt.f64 -1)))
(log1p.f64 (cbrt.f64 -1))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (/.f64 1 (*.f64 (+.f64 1 (cbrt.f64 -1)) x)))) (log.f64 (+.f64 1 (cbrt.f64 -1))))
(fma.f64 -1/2 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (/.f64 1 (.f64 x (+.f64 1 (cbrt.f64 -1))))) (log1p.f64 (cbrt.f64 -1)))
(fma.f64 -1/2 (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (*.f64 x (+.f64 1 (cbrt.f64 -1)))) (log1p.f64 (cbrt.f64 -1)))
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(+.f64 1 (pow.f64 (hypot.f64 x (+.f64 -1 x)) 2))
(expm1.f64 (log.f64 (+.f64 2 (pow.f64 (hypot.f64 x (+.f64 x -1)) 2))))
(+.f64 (+.f64 2 (pow.f64 (hypot.f64 x (+.f64 -1 x)) 2)) -1)
(+.f64 1 (pow.f64 (hypot.f64 x (+.f64 -1 x)) 2))
(exp.f64 (log1p.f64 (pow.f64 (hypot.f64 x (+.f64 x -1)) 2)))
(exp.f64 (log1p.f64 (pow.f64 (hypot.f64 x (+.f64 -1 x)) 2)))
(exp.f64 (*.f64 (log1p.f64 (pow.f64 (hypot.f64 x (+.f64 x -1)) 2)) 1))
(exp.f64 (log1p.f64 (pow.f64 (hypot.f64 x (+.f64 -1 x)) 2)))
(log1p.f64 (expm1.f64 (+.f64 (pow.f64 (hypot.f64 x (+.f64 x -1)) 2) 1)))
(+.f64 (+.f64 2 (pow.f64 (hypot.f64 x (+.f64 -1 x)) 2)) -1)
(+.f64 1 (pow.f64 (hypot.f64 x (+.f64 -1 x)) 2))
(fma.f64 -1 (pow.f64 (+.f64 x -1) 2) (fma.f64 x x 1))
(-.f64 (fma.f64 x x 1) (pow.f64 (+.f64 -1 x) 2))
(fma.f64 (+.f64 x -1) (+.f64 x -1) (fma.f64 x x 1))
(+.f64 (pow.f64 (+.f64 -1 x) 2) (fma.f64 x x 1))
(fma.f64 1 (pow.f64 (+.f64 x -1) 2) (fma.f64 x x 1))
(+.f64 (pow.f64 (+.f64 -1 x) 2) (fma.f64 x x 1))
(fma.f64 1 (pow.f64 (hypot.f64 x (+.f64 x -1)) 2) 1)
(+.f64 (+.f64 2 (pow.f64 (hypot.f64 x (+.f64 -1 x)) 2)) -1)
(+.f64 1 (pow.f64 (hypot.f64 x (+.f64 -1 x)) 2))
(fma.f64 (hypot.f64 1 x) (hypot.f64 1 x) (pow.f64 (+.f64 x -1) 2))
(fma.f64 (hypot.f64 1 x) (hypot.f64 1 x) (pow.f64 (+.f64 -1 x) 2))
(fma.f64 (hypot.f64 x (+.f64 x -1)) (hypot.f64 x (+.f64 x -1)) 1)
(+.f64 (+.f64 2 (pow.f64 (hypot.f64 x (+.f64 -1 x)) 2)) -1)
(+.f64 1 (pow.f64 (hypot.f64 x (+.f64 -1 x)) 2))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) 4)) (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) (fma.f64 x x 1))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 -1 x) 4)) (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2) (fma.f64 x x 1))
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x (+.f64 x -1)) 2)) 2) (cbrt.f64 (pow.f64 (hypot.f64 x (+.f64 x -1)) 2)) 1)
(+.f64 (+.f64 2 (pow.f64 (hypot.f64 x (+.f64 -1 x)) 2)) -1)
(+.f64 1 (pow.f64 (hypot.f64 x (+.f64 -1 x)) 2))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (hypot.f64 x (+.f64 x -1)) 2) 1) (+.f64 1 (-.f64 (hypot.f64 1 x) x))) (pow.f64 (+.f64 (+.f64 x -1) (hypot.f64 1 x)) 2)))))) 1)
(log1p.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 1 (pow.f64 (hypot.f64 x (+.f64 -1 x)) 2)) (+.f64 1 (-.f64 (hypot.f64 1 x) x))) (pow.f64 (+.f64 x (+.f64 -1 (hypot.f64 1 x))) 2))))
(log1p.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 1 (pow.f64 (hypot.f64 x (+.f64 -1 x)) 2)) (-.f64 (hypot.f64 1 x) (+.f64 -1 x))) (pow.f64 (+.f64 -1 (+.f64 x (hypot.f64 1 x))) 2))))
(log1p.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 1 (pow.f64 (hypot.f64 x (+.f64 -1 x)) 2)) (+.f64 (hypot.f64 1 x) (-.f64 1 x))) (pow.f64 (+.f64 x (+.f64 -1 (hypot.f64 1 x))) 2))))
(.f64 1 (log1p.f64 (cbrt.f64 (.f64 (/.f64 (+.f64 (pow.f64 (hypot.f64 x (+.f64 x -1)) 2) 1) (+.f64 1 (-.f64 (hypot.f64 1 x) x))) (pow.f64 (+.f64 (+.f64 x -1) (hypot.f64 1 x)) 2)))))
(log1p.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 1 (pow.f64 (hypot.f64 x (+.f64 -1 x)) 2)) (+.f64 1 (-.f64 (hypot.f64 1 x) x))) (pow.f64 (+.f64 x (+.f64 -1 (hypot.f64 1 x))) 2))))
(log1p.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 1 (pow.f64 (hypot.f64 x (+.f64 -1 x)) 2)) (-.f64 (hypot.f64 1 x) (+.f64 -1 x))) (pow.f64 (+.f64 -1 (+.f64 x (hypot.f64 1 x))) 2))))
(log1p.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 1 (pow.f64 (hypot.f64 x (+.f64 -1 x)) 2)) (+.f64 (hypot.f64 1 x) (-.f64 1 x))) (pow.f64 (+.f64 x (+.f64 -1 (hypot.f64 1 x))) 2))))
(.f64 (log1p.f64 (cbrt.f64 (.f64 (/.f64 (+.f64 (pow.f64 (hypot.f64 x (+.f64 x -1)) 2) 1) (+.f64 1 (-.f64 (hypot.f64 1 x) x))) (pow.f64 (+.f64 (+.f64 x -1) (hypot.f64 1 x)) 2)))) 1)
(log1p.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 1 (pow.f64 (hypot.f64 x (+.f64 -1 x)) 2)) (+.f64 1 (-.f64 (hypot.f64 1 x) x))) (pow.f64 (+.f64 x (+.f64 -1 (hypot.f64 1 x))) 2))))
(log1p.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 1 (pow.f64 (hypot.f64 x (+.f64 -1 x)) 2)) (-.f64 (hypot.f64 1 x) (+.f64 -1 x))) (pow.f64 (+.f64 -1 (+.f64 x (hypot.f64 1 x))) 2))))
(log1p.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 1 (pow.f64 (hypot.f64 x (+.f64 -1 x)) 2)) (+.f64 (hypot.f64 1 x) (-.f64 1 x))) (pow.f64 (+.f64 x (+.f64 -1 (hypot.f64 1 x))) 2))))
(.f64 (sqrt.f64 (log1p.f64 (cbrt.f64 (.f64 (/.f64 (+.f64 (pow.f64 (hypot.f64 x (+.f64 x -1)) 2) 1) (+.f64 1 (-.f64 (hypot.f64 1 x) x))) (pow.f64 (+.f64 (+.f64 x -1) (hypot.f64 1 x)) 2))))) (sqrt.f64 (log1p.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (hypot.f64 x (+.f64 x -1)) 2) 1) (+.f64 1 (-.f64 (hypot.f64 1 x) x))) (pow.f64 (+.f64 (+.f64 x -1) (hypot.f64 1 x)) 2))))))
(log1p.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 1 (pow.f64 (hypot.f64 x (+.f64 -1 x)) 2)) (+.f64 1 (-.f64 (hypot.f64 1 x) x))) (pow.f64 (+.f64 x (+.f64 -1 (hypot.f64 1 x))) 2))))
(log1p.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 1 (pow.f64 (hypot.f64 x (+.f64 -1 x)) 2)) (-.f64 (hypot.f64 1 x) (+.f64 -1 x))) (pow.f64 (+.f64 -1 (+.f64 x (hypot.f64 1 x))) 2))))
(log1p.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 1 (pow.f64 (hypot.f64 x (+.f64 -1 x)) 2)) (+.f64 (hypot.f64 1 x) (-.f64 1 x))) (pow.f64 (+.f64 x (+.f64 -1 (hypot.f64 1 x))) 2))))
(.f64 (cbrt.f64 (log1p.f64 (cbrt.f64 (.f64 (/.f64 (+.f64 (pow.f64 (hypot.f64 x (+.f64 x -1)) 2) 1) (+.f64 1 (-.f64 (hypot.f64 1 x) x))) (pow.f64 (+.f64 (+.f64 x -1) (hypot.f64 1 x)) 2))))) (pow.f64 (cbrt.f64 (log1p.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (hypot.f64 x (+.f64 x -1)) 2) 1) (+.f64 1 (-.f64 (hypot.f64 1 x) x))) (pow.f64 (+.f64 (+.f64 x -1) (hypot.f64 1 x)) 2))))) 2))
(log1p.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 1 (pow.f64 (hypot.f64 x (+.f64 -1 x)) 2)) (+.f64 1 (-.f64 (hypot.f64 1 x) x))) (pow.f64 (+.f64 x (+.f64 -1 (hypot.f64 1 x))) 2))))
(log1p.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 1 (pow.f64 (hypot.f64 x (+.f64 -1 x)) 2)) (-.f64 (hypot.f64 1 x) (+.f64 -1 x))) (pow.f64 (+.f64 -1 (+.f64 x (hypot.f64 1 x))) 2))))
(log1p.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 1 (pow.f64 (hypot.f64 x (+.f64 -1 x)) 2)) (+.f64 (hypot.f64 1 x) (-.f64 1 x))) (pow.f64 (+.f64 x (+.f64 -1 (hypot.f64 1 x))) 2))))
(.f64 (pow.f64 (cbrt.f64 (log1p.f64 (cbrt.f64 (.f64 (/.f64 (+.f64 (pow.f64 (hypot.f64 x (+.f64 x -1)) 2) 1) (+.f64 1 (-.f64 (hypot.f64 1 x) x))) (pow.f64 (+.f64 (+.f64 x -1) (hypot.f64 1 x)) 2))))) 2) (cbrt.f64 (log1p.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (hypot.f64 x (+.f64 x -1)) 2) 1) (+.f64 1 (-.f64 (hypot.f64 1 x) x))) (pow.f64 (+.f64 (+.f64 x -1) (hypot.f64 1 x)) 2))))))
(log1p.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 1 (pow.f64 (hypot.f64 x (+.f64 -1 x)) 2)) (+.f64 1 (-.f64 (hypot.f64 1 x) x))) (pow.f64 (+.f64 x (+.f64 -1 (hypot.f64 1 x))) 2))))
(log1p.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 1 (pow.f64 (hypot.f64 x (+.f64 -1 x)) 2)) (-.f64 (hypot.f64 1 x) (+.f64 -1 x))) (pow.f64 (+.f64 -1 (+.f64 x (hypot.f64 1 x))) 2))))
(log1p.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 1 (pow.f64 (hypot.f64 x (+.f64 -1 x)) 2)) (+.f64 (hypot.f64 1 x) (-.f64 1 x))) (pow.f64 (+.f64 x (+.f64 -1 (hypot.f64 1 x))) 2))))
(pow.f64 (log1p.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (hypot.f64 x (+.f64 x -1)) 2) 1) (+.f64 1 (-.f64 (hypot.f64 1 x) x))) (pow.f64 (+.f64 (+.f64 x -1) (hypot.f64 1 x)) 2)))) 1)
(log1p.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 1 (pow.f64 (hypot.f64 x (+.f64 -1 x)) 2)) (+.f64 1 (-.f64 (hypot.f64 1 x) x))) (pow.f64 (+.f64 x (+.f64 -1 (hypot.f64 1 x))) 2))))
(log1p.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 1 (pow.f64 (hypot.f64 x (+.f64 -1 x)) 2)) (-.f64 (hypot.f64 1 x) (+.f64 -1 x))) (pow.f64 (+.f64 -1 (+.f64 x (hypot.f64 1 x))) 2))))
(log1p.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 1 (pow.f64 (hypot.f64 x (+.f64 -1 x)) 2)) (+.f64 (hypot.f64 1 x) (-.f64 1 x))) (pow.f64 (+.f64 x (+.f64 -1 (hypot.f64 1 x))) 2))))
(pow.f64 (sqrt.f64 (log1p.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (hypot.f64 x (+.f64 x -1)) 2) 1) (+.f64 1 (-.f64 (hypot.f64 1 x) x))) (pow.f64 (+.f64 (+.f64 x -1) (hypot.f64 1 x)) 2))))) 2)
(log1p.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 1 (pow.f64 (hypot.f64 x (+.f64 -1 x)) 2)) (+.f64 1 (-.f64 (hypot.f64 1 x) x))) (pow.f64 (+.f64 x (+.f64 -1 (hypot.f64 1 x))) 2))))
(log1p.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 1 (pow.f64 (hypot.f64 x (+.f64 -1 x)) 2)) (-.f64 (hypot.f64 1 x) (+.f64 -1 x))) (pow.f64 (+.f64 -1 (+.f64 x (hypot.f64 1 x))) 2))))
(log1p.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 1 (pow.f64 (hypot.f64 x (+.f64 -1 x)) 2)) (+.f64 (hypot.f64 1 x) (-.f64 1 x))) (pow.f64 (+.f64 x (+.f64 -1 (hypot.f64 1 x))) 2))))
(pow.f64 (cbrt.f64 (log1p.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (hypot.f64 x (+.f64 x -1)) 2) 1) (+.f64 1 (-.f64 (hypot.f64 1 x) x))) (pow.f64 (+.f64 (+.f64 x -1) (hypot.f64 1 x)) 2))))) 3)
(log1p.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 1 (pow.f64 (hypot.f64 x (+.f64 -1 x)) 2)) (+.f64 1 (-.f64 (hypot.f64 1 x) x))) (pow.f64 (+.f64 x (+.f64 -1 (hypot.f64 1 x))) 2))))
(log1p.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 1 (pow.f64 (hypot.f64 x (+.f64 -1 x)) 2)) (-.f64 (hypot.f64 1 x) (+.f64 -1 x))) (pow.f64 (+.f64 -1 (+.f64 x (hypot.f64 1 x))) 2))))
(log1p.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 1 (pow.f64 (hypot.f64 x (+.f64 -1 x)) 2)) (+.f64 (hypot.f64 1 x) (-.f64 1 x))) (pow.f64 (+.f64 x (+.f64 -1 (hypot.f64 1 x))) 2))))
(pow.f64 (pow.f64 (log1p.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (hypot.f64 x (+.f64 x -1)) 2) 1) (+.f64 1 (-.f64 (hypot.f64 1 x) x))) (pow.f64 (+.f64 (+.f64 x -1) (hypot.f64 1 x)) 2)))) 3) 1/3)
(log1p.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 1 (pow.f64 (hypot.f64 x (+.f64 -1 x)) 2)) (+.f64 1 (-.f64 (hypot.f64 1 x) x))) (pow.f64 (+.f64 x (+.f64 -1 (hypot.f64 1 x))) 2))))
(log1p.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 1 (pow.f64 (hypot.f64 x (+.f64 -1 x)) 2)) (-.f64 (hypot.f64 1 x) (+.f64 -1 x))) (pow.f64 (+.f64 -1 (+.f64 x (hypot.f64 1 x))) 2))))
(log1p.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 1 (pow.f64 (hypot.f64 x (+.f64 -1 x)) 2)) (+.f64 (hypot.f64 1 x) (-.f64 1 x))) (pow.f64 (+.f64 x (+.f64 -1 (hypot.f64 1 x))) 2))))
(sqrt.f64 (pow.f64 (log1p.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (hypot.f64 x (+.f64 x -1)) 2) 1) (+.f64 1 (-.f64 (hypot.f64 1 x) x))) (pow.f64 (+.f64 (+.f64 x -1) (hypot.f64 1 x)) 2)))) 2))
(sqrt.f64 (pow.f64 (log1p.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 1 (pow.f64 (hypot.f64 x (+.f64 -1 x)) 2)) (+.f64 1 (-.f64 (hypot.f64 1 x) x))) (pow.f64 (+.f64 x (+.f64 -1 (hypot.f64 1 x))) 2)))) 2))
(fabs.f64 (log1p.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 1 (pow.f64 (hypot.f64 x (+.f64 -1 x)) 2)) (-.f64 (hypot.f64 1 x) (+.f64 -1 x))) (pow.f64 (+.f64 -1 (+.f64 x (hypot.f64 1 x))) 2)))))
(fabs.f64 (log1p.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 1 (pow.f64 (hypot.f64 x (+.f64 -1 x)) 2)) (+.f64 (hypot.f64 1 x) (-.f64 1 x))) (pow.f64 (+.f64 x (+.f64 -1 (hypot.f64 1 x))) 2)))))
(log.f64 (+.f64 1 (cbrt.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (hypot.f64 x (+.f64 x -1)) 2) 1) (+.f64 1 (-.f64 (hypot.f64 1 x) x))) (pow.f64 (+.f64 (+.f64 x -1) (hypot.f64 1 x)) 2)))))
(log1p.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 1 (pow.f64 (hypot.f64 x (+.f64 -1 x)) 2)) (+.f64 1 (-.f64 (hypot.f64 1 x) x))) (pow.f64 (+.f64 x (+.f64 -1 (hypot.f64 1 x))) 2))))
(log1p.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 1 (pow.f64 (hypot.f64 x (+.f64 -1 x)) 2)) (-.f64 (hypot.f64 1 x) (+.f64 -1 x))) (pow.f64 (+.f64 -1 (+.f64 x (hypot.f64 1 x))) 2))))
(log1p.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 1 (pow.f64 (hypot.f64 x (+.f64 -1 x)) 2)) (+.f64 (hypot.f64 1 x) (-.f64 1 x))) (pow.f64 (+.f64 x (+.f64 -1 (hypot.f64 1 x))) 2))))
(cbrt.f64 (pow.f64 (log1p.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (hypot.f64 x (+.f64 x -1)) 2) 1) (+.f64 1 (-.f64 (hypot.f64 1 x) x))) (pow.f64 (+.f64 (+.f64 x -1) (hypot.f64 1 x)) 2)))) 3))
(log1p.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 1 (pow.f64 (hypot.f64 x (+.f64 -1 x)) 2)) (+.f64 1 (-.f64 (hypot.f64 1 x) x))) (pow.f64 (+.f64 x (+.f64 -1 (hypot.f64 1 x))) 2))))
(log1p.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 1 (pow.f64 (hypot.f64 x (+.f64 -1 x)) 2)) (-.f64 (hypot.f64 1 x) (+.f64 -1 x))) (pow.f64 (+.f64 -1 (+.f64 x (hypot.f64 1 x))) 2))))
(log1p.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 1 (pow.f64 (hypot.f64 x (+.f64 -1 x)) 2)) (+.f64 (hypot.f64 1 x) (-.f64 1 x))) (pow.f64 (+.f64 x (+.f64 -1 (hypot.f64 1 x))) 2))))
(expm1.f64 (log1p.f64 (log1p.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (hypot.f64 x (+.f64 x -1)) 2) 1) (+.f64 1 (-.f64 (hypot.f64 1 x) x))) (pow.f64 (+.f64 (+.f64 x -1) (hypot.f64 1 x)) 2))))))
(log1p.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 1 (pow.f64 (hypot.f64 x (+.f64 -1 x)) 2)) (+.f64 1 (-.f64 (hypot.f64 1 x) x))) (pow.f64 (+.f64 x (+.f64 -1 (hypot.f64 1 x))) 2))))
(log1p.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 1 (pow.f64 (hypot.f64 x (+.f64 -1 x)) 2)) (-.f64 (hypot.f64 1 x) (+.f64 -1 x))) (pow.f64 (+.f64 -1 (+.f64 x (hypot.f64 1 x))) 2))))
(log1p.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 1 (pow.f64 (hypot.f64 x (+.f64 -1 x)) 2)) (+.f64 (hypot.f64 1 x) (-.f64 1 x))) (pow.f64 (+.f64 x (+.f64 -1 (hypot.f64 1 x))) 2))))
(exp.f64 (log.f64 (log1p.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (hypot.f64 x (+.f64 x -1)) 2) 1) (+.f64 1 (-.f64 (hypot.f64 1 x) x))) (pow.f64 (+.f64 (+.f64 x -1) (hypot.f64 1 x)) 2))))))
(log1p.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 1 (pow.f64 (hypot.f64 x (+.f64 -1 x)) 2)) (+.f64 1 (-.f64 (hypot.f64 1 x) x))) (pow.f64 (+.f64 x (+.f64 -1 (hypot.f64 1 x))) 2))))
(log1p.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 1 (pow.f64 (hypot.f64 x (+.f64 -1 x)) 2)) (-.f64 (hypot.f64 1 x) (+.f64 -1 x))) (pow.f64 (+.f64 -1 (+.f64 x (hypot.f64 1 x))) 2))))
(log1p.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 1 (pow.f64 (hypot.f64 x (+.f64 -1 x)) 2)) (+.f64 (hypot.f64 1 x) (-.f64 1 x))) (pow.f64 (+.f64 x (+.f64 -1 (hypot.f64 1 x))) 2))))
(exp.f64 (.f64 (log.f64 (log1p.f64 (cbrt.f64 (.f64 (/.f64 (+.f64 (pow.f64 (hypot.f64 x (+.f64 x -1)) 2) 1) (+.f64 1 (-.f64 (hypot.f64 1 x) x))) (pow.f64 (+.f64 (+.f64 x -1) (hypot.f64 1 x)) 2))))) 1))
(log1p.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 1 (pow.f64 (hypot.f64 x (+.f64 -1 x)) 2)) (+.f64 1 (-.f64 (hypot.f64 1 x) x))) (pow.f64 (+.f64 x (+.f64 -1 (hypot.f64 1 x))) 2))))
(log1p.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 1 (pow.f64 (hypot.f64 x (+.f64 -1 x)) 2)) (-.f64 (hypot.f64 1 x) (+.f64 -1 x))) (pow.f64 (+.f64 -1 (+.f64 x (hypot.f64 1 x))) 2))))
(log1p.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 1 (pow.f64 (hypot.f64 x (+.f64 -1 x)) 2)) (+.f64 (hypot.f64 1 x) (-.f64 1 x))) (pow.f64 (+.f64 x (+.f64 -1 (hypot.f64 1 x))) 2))))

eval1.4s (11.1%)

Compiler: Compiled 50558 to 39068 computations (22.7% saved)

prune411.0ms (3.3%)

Pruning

19 alts after pruning (6 fresh and 13 done)

	Pruned	Kept	Total
New	1424	2	1426
Fresh	0	4	4
Picked	1	0	1
Done	0	13	13
Total	1425	19	1444

Error

Counts

1444 → 19

Alt Table

Click to see full alt table

Status	Error	Program
	48.49%	(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (/.f64 1 (/.f64 1 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x)))))
✓	48.35%	(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)))
✓	47.9%	(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x))
✓	48.56%	(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
✓	68.95%	(log1p.f64 (/.f64 1 (/.f64 1 (+.f64 (hypot.f64 1 x) (+.f64 x -1)))))
✓	96.39%	(log1p.f64 (/.f64 1 (-.f64 (/.f64 1/2 x) (+.f64 1 (/.f64 1/4 (*.f64 x x))))))
✓	46.26%	(log1p.f64 (/.f64 1 (-.f64 (+.f64 (/.f64 1 x) (*.f64 1/4 x)) 1/2)))
	84.57%	(log1p.f64 (/.f64 1 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1)) 3)))))
✓	68.94%	(log1p.f64 (+.f64 (hypot.f64 1 x) (-.f64 x 1)))
	91.17%	(log1p.f64 (.f64 (/.f64 (cbrt.f64 (+.f64 (-.f64 (.f64 x x) (pow.f64 (+.f64 x -1) 2)) 1)) (cbrt.f64 (+.f64 1 (-.f64 (hypot.f64 1 x) x)))) (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1))) 2)))
✓	41.51%	(log1p.f64 x)
	72.68%	(log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))
✓	77%	(log.f64 (/.f64 -1/2 x))
	98.89%	(log.f64 (-.f64 x (/.f64 1 (/.f64 1 (+.f64 x (/.f64 1/2 x))))))
✓	99.27%	(log.f64 (-.f64 x (+.f64 x (/.f64 1/2 x))))
✓	69.65%	(log.f64 (+.f64 x (hypot.f64 1 x)))
✓	72.98%	(log.f64 (+.f64 x (+.f64 (/.f64 1/2 x) x)))
✓	73.9%	(log.f64 (+.f64 x x))
	46.33%	x

Compiler

Compiled 226 to 177 computations (21.7% saved)

regimes72.0ms (0.6%)

Counts

24 → 3

Calls

Call 1

Inputs
x
(log1p.f64 x)
(log.f64 (+.f64 x x))
(log.f64 (/.f64 -1/2 x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))
(log.f64 (+.f64 x (+.f64 (/.f64 1/2 x) x)))
(log.f64 (-.f64 x (+.f64 x (/.f64 1/2 x))))
(log.f64 (+.f64 x (-.f64 (neg.f64 x) (/.f64 1/2 x))))
(log.f64 (-.f64 x (/.f64 1 (/.f64 1 (+.f64 x (/.f64 1/2 x))))))
(log1p.f64 (/.f64 1 (-.f64 (+.f64 (/.f64 1 x) (*.f64 1/4 x)) 1/2)))
(log1p.f64 (/.f64 1 (-.f64 (/.f64 1/2 x) (+.f64 1 (/.f64 1/4 (*.f64 x x))))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))
(log1p.f64 (+.f64 (hypot.f64 1 x) (-.f64 x 1)))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
(log1p.f64 (/.f64 1 (/.f64 1 (+.f64 (hypot.f64 1 x) (+.f64 x -1)))))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)))
(log1p.f64 (/.f64 1 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1)) 3)))))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (/.f64 1 (/.f64 1 (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x)))))
(log1p.f64 (.f64 (/.f64 (cbrt.f64 (+.f64 (-.f64 (.f64 x x) (pow.f64 (+.f64 x -1) 2)) 1)) (cbrt.f64 (+.f64 1 (-.f64 (hypot.f64 1 x) x)))) (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1))) 2)))
(log1p.f64 (.f64 (/.f64 (cbrt.f64 (+.f64 (+.f64 (neg.f64 (pow.f64 (+.f64 x -1) 2)) (.f64 x x)) 1)) (cbrt.f64 (+.f64 1 (-.f64 (hypot.f64 1 x) x)))) (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1))) 2)))
(log1p.f64 (*.f64 (/.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1) (pow.f64 (+.f64 x -1) 2))) (cbrt.f64 (+.f64 1 (-.f64 (hypot.f64 1 x) x)))) (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1))) 2)))

Outputs
(log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)))
(log.f64 (+.f64 x (hypot.f64 1 x)))

Calls

3 calls:

32.0ms	x
20.0ms	(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
12.0ms	(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))

Results

Error	Segments	Branch
0.04%	3	`x`
10.26%	3	`(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))`
10.26%	3	`(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))`

Compiler

Compiled 321 to 239 computations (25.5% saved)

bsearch32.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	0.00381909459350998	1.0995365310752865
12.0ms	-0.0514930643084767	-0.006459640412792367

Results

29.0ms

224×

body

256

valid

Compiler

Compiled 432 to 344 computations (20.4% saved)

regimes57.0ms (0.5%)

Counts

18 → 3

Calls

Call 1

Inputs
x
(log1p.f64 x)
(log.f64 (+.f64 x x))
(log.f64 (/.f64 -1/2 x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))
(log.f64 (+.f64 x (+.f64 (/.f64 1/2 x) x)))
(log.f64 (-.f64 x (+.f64 x (/.f64 1/2 x))))
(log.f64 (+.f64 x (-.f64 (neg.f64 x) (/.f64 1/2 x))))
(log.f64 (-.f64 x (/.f64 1 (/.f64 1 (+.f64 x (/.f64 1/2 x))))))
(log1p.f64 (/.f64 1 (-.f64 (+.f64 (/.f64 1 x) (*.f64 1/4 x)) 1/2)))
(log1p.f64 (/.f64 1 (-.f64 (/.f64 1/2 x) (+.f64 1 (/.f64 1/4 (*.f64 x x))))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))
(log1p.f64 (+.f64 (hypot.f64 1 x) (-.f64 x 1)))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
(log1p.f64 (/.f64 1 (/.f64 1 (+.f64 (hypot.f64 1 x) (+.f64 x -1)))))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x))

Outputs
(log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x))
(log.f64 (+.f64 x (hypot.f64 1 x)))

Calls

3 calls:

25.0ms	x
17.0ms	(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
11.0ms	(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))

Results

Error	Segments	Branch
0.04%	3	`x`
10.26%	3	`(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))`
10.26%	3	`(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))`

Compiler

Compiled 167 to 118 computations (29.3% saved)

bsearch36.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	0.00381909459350998	1.0995365310752865
18.0ms	-0.006459640412792367	-4.057697255893611e-8

Results

32.0ms

272×

body

256

valid

Compiler

Compiled 423 to 334 computations (21% saved)

regimes59.0ms (0.5%)

Counts

17 → 3

Calls

Call 1

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

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

Calls

3 calls:

34.0ms	x
14.0ms	(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
7.0ms	(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))

Results

Error	Segments	Branch
0.07%	3	`x`
10.29%	3	`(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))`
10.29%	3	`(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))`

Compiler

Compiled 154 to 108 computations (29.9% saved)

bsearch38.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	1.3438613576438417e-13	0.00381909459350998
18.0ms	-0.006459640412792367	-4.057697255893611e-8

Results

34.0ms

304×

body

256

valid

Compiler

Compiled 355 to 275 computations (22.5% saved)

regimes31.0ms (0.3%)

Counts

13 → 3

Calls

Call 1

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

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

Calls

1 calls:

20.0ms

Results

Error	Segments	Branch
0.53%	3	`x`

Compiler

Compiled 98 to 68 computations (30.6% saved)

bsearch35.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	1.3438613576438417e-13	0.00381909459350998
15.0ms	-443.47668710587305	-0.0514930643084767

Results

31.0ms

288×

body

256

valid

Compiler

Compiled 304 to 236 computations (22.4% saved)

regimes22.0ms (0.2%)

Counts

12 → 3

Calls

Call 1

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

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

Calls

1 calls:

19.0ms

Results

Error	Segments	Branch
0.9%	3	`x`

Compiler

Compiled 92 to 64 computations (30.4% saved)

bsearch32.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	0.00381909459350998	1.0995365310752865
17.0ms	-443.47668710587305	-0.0514930643084767

Results

29.0ms

256×

body

256

valid

Compiler

Compiled 286 to 218 computations (23.8% saved)

regimes16.0ms (0.1%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

1 calls:

15.0ms

Results

Error	Segments	Branch
0.91%	3	`x`

Compiler

Compiled 21 to 13 computations (38.1% saved)

bsearch32.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	1.0995365310752865	368238392.2265699
15.0ms	-443.47668710587305	-0.0514930643084767

Results

29.0ms

272×

body

256

valid

Compiler

Compiled 269 to 205 computations (23.8% saved)

regimes19.0ms (0.2%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

1 calls:

18.0ms

Results

Error	Segments	Branch
1.18%	3	`x`

Compiler

Compiled 14 to 8 computations (42.9% saved)

bsearch33.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	1.0995365310752865	368238392.2265699
15.0ms	-443.47668710587305	-0.0514930643084767

Results

30.0ms

272×

body

256

valid

Compiler

Compiled 167 to 120 computations (28.1% saved)

regimes7.0ms (0.1%)

Counts

3 → 2

Calls

Call 1

Inputs
x
(log1p.f64 x)
(log.f64 (+.f64 x x))

Outputs
x
(log.f64 (+.f64 x x))

Calls

1 calls:

6.0ms

Results

Error	Segments	Branch
22.35%	2	`x`

Compiler

Compiled 10 to 5 computations (50% saved)

bsearch18.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
18.0ms	1.0995365310752865	368238392.2265699

Results

16.0ms

144×

body

256

valid

Compiler

Compiled 95 to 64 computations (32.6% saved)

regimes9.0ms (0.1%)

Accuracy

Total -5.3b remaining (-20.6%)

Threshold costs -5.3b (-20.6%)

Counts

2 → 2

Calls

Call 1

Inputs
x
(log1p.f64 x)

Outputs
x
(log1p.f64 x)

Calls

1 calls:

8.0ms

Results

Error	Segments	Branch
39.81%	2	`x`

Compiler

Compiled 6 to 3 computations (50% saved)

bsearch17.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	1.0995365310752865	368238392.2265699

Results

15.0ms

144×

body

256

valid

Compiler

Compiled 77 to 55 computations (28.6% saved)

simplify23.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	77	558
1	93	558
2	97	558
3	99	558
4	100	558

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 x -3314649325744685/144115188075855872) (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) (if (<=.f64 x 3242591731706757/144115188075855872) (+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x))) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -7378697629483821/1152921504606846976) (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) (if (<=.f64 x 4150517416584649/576460752303423488) (+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x)) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -8116567392432203/9223372036854775808) (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) (if (<=.f64 x 4242751136953197/4611686018427387904) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 4242751136953197/4611686018427387904) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 1080863910568919/1125899906842624) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5/4) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) (log.f64 (+.f64 x x))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5/4) x (log.f64 (+.f64 x x))))
(if (<=.f64 x 5/4) x (log.f64 (+.f64 x x)))
(if (<=.f64 x 6980579422424269/4503599627370496) x (log1p.f64 x))
x

Outputs
(if (<=.f64 x -3314649325744685/144115188075855872) (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) (if (<=.f64 x 3242591731706757/144115188075855872) (+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x))) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -3314649325744685/144115188075855872) (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) (if (<=.f64 x 3242591731706757/144115188075855872) (+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) (+.f64 x (*.f64 -5/112 (pow.f64 x 7))))) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -7378697629483821/1152921504606846976) (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) (if (<=.f64 x 4150517416584649/576460752303423488) (+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x)) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -7378697629483821/1152921504606846976) (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) (if (<=.f64 x 4150517416584649/576460752303423488) (+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 x (.f64 3/40 (pow.f64 x 5)))) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -8116567392432203/9223372036854775808) (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) (if (<=.f64 x 4242751136953197/4611686018427387904) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -8116567392432203/9223372036854775808) (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) (if (<=.f64 x 4242751136953197/4611686018427387904) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 4242751136953197/4611686018427387904) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 4242751136953197/4611686018427387904) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 1080863910568919/1125899906842624) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 1080863910568919/1125899906842624) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (log.f64 (+.f64 x (+.f64 x (/.f64 1/2 x))))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5/4) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) (log.f64 (+.f64 x x))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5/4) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (log.f64 (+.f64 x x))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5/4) x (log.f64 (+.f64 x x))))
(if (<=.f64 x 5/4) x (log.f64 (+.f64 x x)))
(if (<=.f64 x 6980579422424269/4503599627370496) x (log1p.f64 x))
x

Compiler

Compiled 224 to 161 computations (28.1% saved)

soundness375.0ms (3%)

Algorithm

2×	egg-herbie

Rules

1152×	`associate-*r/`
1016×	`+-commutative`
926×	`associate-+l+`
772×	`associate-+r+`
438×	`fma-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	487	7260
1	1274	6624
2	4966	6624
0	10	23
1	16	17
2	17	17

Stop Event

1×	saturated
1×	node limit

Compiler

Compiled 207 to 155 computations (25.1% saved)

end161.0ms (1.3%)

Compiler: Compiled 215 to 148 computations (31.2% saved)