Details

analyze7.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
50%	50%	50%	0%	0%	0%	0%	3
66.7%	50%	25%	0%	0%	0%	25%	4
80%	50%	12.5%	0%	0%	0%	37.5%	5
88.9%	50%	6.2%	0%	0%	0%	43.7%	6
94.1%	50%	3.1%	0%	0%	0%	46.9%	7
97%	50%	1.6%	0%	0%	0%	48.4%	8
97%	50%	1.6%	0%	0%	0%	48.4%	9
97.7%	50.4%	1.2%	0%	0%	0%	48.4%	10
97.7%	50.4%	1.2%	0%	0%	0%	48.4%	11
97.9%	50.4%	1.1%	0%	0%	0%	48.5%	12

Compiler

Compiled 15 to 8 computations (46.7% saved)

sample2.2s (3.9%)

Results

1.5s	4004×	body	1024	valid
411.0ms	2016×	body	512	valid
199.0ms	1839×	body	256	valid
167.0ms	397×	body	2048	valid
1.0ms	7×	body	256	unsamplable

Bogosity

preprocess3.1s (5.4%)

Algorithm

2×

egglog

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Outputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (expm1.f64 (*.f64 x -2)) (-.f64 -1 (pow.f64 (exp.f64 x) -2)))

Compiler

Compiled 15 to 8 computations (46.7% saved)

simplify1.8s (3%)

Algorithm

1×

egglog

Counts

1 → 2

Calls

Call 1

Inputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Outputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (expm1.f64 (*.f64 x -2)) (-.f64 -1 (pow.f64 (exp.f64 x) -2)))

eval1.0ms (0%)

Compiler: Compiled 25 to 15 computations (40% saved)

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(/.f64 (expm1.f64 (*.f64 x -2)) (-.f64 -1 (pow.f64 (exp.f64 x) -2)))

Compiler

Compiled 12 to 10 computations (16.7% saved)

localize27.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (expm1.f64 (*.f64 x -2)) (-.f64 -1 (pow.f64 (exp.f64 x) -2)))
✓	0.0b	(-.f64 -1 (pow.f64 (exp.f64 x) -2))
✓	0.0b	(pow.f64 (exp.f64 x) -2)

Compiler

Compiled 34 to 23 computations (32.4% saved)

series42.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(/.f64 (expm1.f64 (*.f64 x -2)) (-.f64 -1 (pow.f64 (exp.f64 x) -2)))
1.0ms	x	@	-inf	(/.f64 (expm1.f64 (*.f64 x -2)) (-.f64 -1 (pow.f64 (exp.f64 x) -2)))
1.0ms	x	@	0	(/.f64 (expm1.f64 (*.f64 x -2)) (-.f64 -1 (pow.f64 (exp.f64 x) -2)))
1.0ms	x	@	inf	(pow.f64 (exp.f64 x) -2)
1.0ms	x	@	-inf	(pow.f64 (exp.f64 x) -2)

Compiler

Compiled 1870 to 1485 computations (20.6% saved)

rewrite1.7s (3%)

Algorithm

1×	batch-egg-rewrite

Rules

111×	`egg-rr`
103×	`egg-rr`
98×	`egg-rr`

Counts

3 → 312

Calls

Call 1

Inputs
(pow.f64 (exp.f64 x) -2)
(-.f64 -1 (pow.f64 (exp.f64 x) -2))
(/.f64 (expm1.f64 (*.f64 x -2)) (-.f64 -1 (pow.f64 (exp.f64 x) -2)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 (exp.f64 -2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (neg.f64 (pow.f64 (exp.f64 -2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (exp.f64 -2) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (exp.f64 -2) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (-.f64 (neg.f64 (pow.f64 (exp.f64 -2) x)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (exp.f64 (neg.f64 x)) -1) (.f64 (exp.f64 (neg.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (exp.f64 (neg.f64 x))) (neg.f64 (exp.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (exp.f64 -2) x)) (cbrt.f64 (pow.f64 (exp.f64 x) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (exp.f64 x) -4)) (cbrt.f64 (pow.f64 (exp.f64 -2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 0 (+.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -4)) (.f64 0 (neg.f64 (cbrt.f64 (pow.f64 (exp.f64 -2) x)))))) (cbrt.f64 (pow.f64 (exp.f64 -2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -4)) (+.f64 0 (.f64 (cbrt.f64 (pow.f64 (exp.f64 -2) x)) 0))) (-.f64 (cbrt.f64 (pow.f64 (exp.f64 -2) x)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 0 (-.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -4)) 0)) (+.f64 0 (cbrt.f64 (pow.f64 (exp.f64 -2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (neg.f64 (exp.f64 (neg.f64 x))) 0) (-.f64 (neg.f64 (exp.f64 (neg.f64 x))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 (neg.f64 x)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 (exp.f64 (neg.f64 x)) -1) 0) (-.f64 (.f64 (exp.f64 (neg.f64 x)) -1) 0))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (cbrt.f64 (pow.f64 (exp.f64 -2) x))) (neg.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (pow.f64 (exp.f64 -2) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (neg.f64 (pow.f64 (exp.f64 -2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 (exp.f64 -2) x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (neg.f64 (expm1.f64 (.f64 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 3 (+.f64 3 (neg.f64 (pow.f64 (exp.f64 -2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 3 (-.f64 3 (pow.f64 (exp.f64 -2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (pow.f64 (exp.f64 -2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (exp.f64 (neg.f64 x)) 6) (pow.f64 (exp.f64 x) -4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 (neg.f64 x)) 6) 0) (+.f64 (pow.f64 (exp.f64 x) -4) (+.f64 0 (.f64 (pow.f64 (exp.f64 -2) x) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (exp.f64 -2) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 -1 (pow.f64 (exp.f64 -2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (neg.f64 (pow.f64 (exp.f64 -2) x)) 0) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (exp.f64 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 0 (pow.f64 (exp.f64 (neg.f64 x)) 6)) (pow.f64 (exp.f64 x) -4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (exp.f64 -2) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 x) -4))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 -2) x)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (.f64 -2 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (cbrt.f64 -2)) (.f64 (cbrt.f64 4) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 x) (cbrt.f64 -2)) (cbrt.f64 4))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (cbrt.f64 (.f64 4 (pow.f64 x 2)))) (cbrt.f64 (.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 -1) (neg.f64 (.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (cbrt.f64 x)) (.f64 -2 (cbrt.f64 (pow.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 -2) (cbrt.f64 x)) (cbrt.f64 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (neg.f64 x)) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (cbrt.f64 (.f64 -2 x))) (cbrt.f64 (.f64 4 (pow.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 x) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 -2) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (neg.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 -2) (.f64 2 (.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (.f64 2 (/.f64 (.f64 -2 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (cbrt.f64 (.f64 -2 x))) (.f64 2 (/.f64 (cbrt.f64 (.f64 4 (pow.f64 x 2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (neg.f64 x)) 6) (.f64 2 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (exp.f64 -2) x) 6) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 x) -4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (neg.f64 x)) 6) (/.f64 2/3 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 -2) (/.f64 (+.f64 x x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (/.f64 (.f64 x -4) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (cbrt.f64 (.f64 -2 x))) (/.f64 (.f64 2 (cbrt.f64 (.f64 4 (pow.f64 x 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (exp.f64 (neg.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (exp.f64 (neg.f64 x)) -1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (.f64 (cbrt.f64 4) x)) (cbrt.f64 -2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (cbrt.f64 4)) (.f64 x (cbrt.f64 -2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (cbrt.f64 (pow.f64 x 2))) (.f64 -2 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (.f64 -2 (cbrt.f64 (pow.f64 x 2)))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -2) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (+.f64 x x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (neg.f64 x)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (neg.f64 (pow.f64 (exp.f64 -2) x)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (pow.f64 (exp.f64 -2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (pow.f64 (exp.f64 -2) x) 0) (pow.f64 (exp.f64 -2) x) (pow.f64 (exp.f64 -2) x))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 -1 0) (pow.f64 (exp.f64 -2) x) (pow.f64 (exp.f64 -2) x))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -4)) 0) (/.f64 (neg.f64 (cbrt.f64 (pow.f64 (exp.f64 -2) x))) (/.f64 -1 (cbrt.f64 (pow.f64 (exp.f64 x) -4)))) (pow.f64 (exp.f64 -2) x))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (neg.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -4))) 0) (/.f64 (cbrt.f64 (pow.f64 (exp.f64 -2) x)) (/.f64 -1 (neg.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -4))))) (pow.f64 (exp.f64 -2) x))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (neg.f64 (pow.f64 (exp.f64 -2) x)) 0) (pow.f64 (/.f64 -1 (neg.f64 (pow.f64 (exp.f64 -2) x))) -1) (pow.f64 (exp.f64 -2) x))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 1 0) (pow.f64 (exp.f64 -2) x) (pow.f64 (exp.f64 -2) x))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 0 0) (pow.f64 (exp.f64 -2) x) (pow.f64 (exp.f64 -2) x))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (neg.f64 (pow.f64 (exp.f64 -2) x)) 0) (/.f64 (neg.f64 (pow.f64 (exp.f64 x) -4)) (neg.f64 (pow.f64 (exp.f64 -2) x))) (pow.f64 (exp.f64 -2) x))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (pow.f64 (exp.f64 -2) x) 0) (exp.f64 (-.f64 (.f64 x -4) (.f64 -2 x))) (pow.f64 (exp.f64 -2) x))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 0 0) (.f64 0 (+.f64 1 (/.f64 (pow.f64 (exp.f64 -2) x) 0))) (pow.f64 (exp.f64 -2) x))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (neg.f64 (pow.f64 (exp.f64 -2) x)) 0) (/.f64 (pow.f64 (exp.f64 (neg.f64 x)) 6) (+.f64 0 (+.f64 (pow.f64 (exp.f64 x) -4) (.f64 0 (neg.f64 (pow.f64 (exp.f64 -2) x)))))) (pow.f64 (exp.f64 -2) x))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 0 (+.f64 (pow.f64 (exp.f64 x) -4) (.f64 0 (neg.f64 (pow.f64 (exp.f64 -2) x))))) 0) (/.f64 (pow.f64 (exp.f64 (neg.f64 x)) 6) (+.f64 0 (+.f64 (pow.f64 (exp.f64 x) -4) (.f64 0 (neg.f64 (pow.f64 (exp.f64 -2) x)))))) (pow.f64 (exp.f64 -2) x))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 (pow.f64 (exp.f64 x) -4) (+.f64 0 (.f64 (pow.f64 (exp.f64 -2) x) 0))) 0) (pow.f64 (exp.f64 -2) x) (pow.f64 (exp.f64 -2) x))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 0 0) (/.f64 (pow.f64 (exp.f64 (neg.f64 x)) 6) (+.f64 0 (+.f64 (pow.f64 (exp.f64 x) -4) (.f64 0 (neg.f64 (pow.f64 (exp.f64 -2) x)))))) (pow.f64 (exp.f64 -2) x))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (pow.f64 (exp.f64 x) -4) 0) (pow.f64 (exp.f64 -2) x) (pow.f64 (exp.f64 -2) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (expm1.f64 (.f64 -2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (exp.f64 -2) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (exp.f64 -2) x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (pow.f64 (exp.f64 -2) x) 3) 3)))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 -2 x))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (/.f64 (.f64 3 (.f64 -2 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 0 (.f64 -2 x)))))) (#(struct:change #<rule 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Outputs

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-2) x))))) -1)) (-.f64 (*.f64 (*.f64 (neg.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))) (pow.f64 (exp.f64 -2) x)) (*.f64 (neg.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))) (pow.f64 (exp.f64 -2) x))) (*.f64 (*.f64 (neg.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))) -1) (*.f64 (neg.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))) (pow.f64 (exp.f64 -2) x)))))) (/.f64 (expm1.f64 (*.f64 -2 x)) (-.f64 -1 (pow.f64 (exp.f64 -2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 0 0) (/.f64 (pow.f64 (/.f64 (expm1.f64 (*.f64 -2 x)) (-.f64 -1 (pow.f64 (exp.f64 -2) x))) 3) (+.f64 0 (+.f64 (pow.f64 (/.f64 (expm1.f64 (*.f64 -2 x)) (exp.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 2) (*.f64 0 (/.f64 (expm1.f64 (*.f64 -2 x)) (exp.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))))))) (/.f64 (expm1.f64 (*.f64 -2 x)) (-.f64 -1 (pow.f64 (exp.f64 -2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 0 (+.f64 (pow.f64 (/.f64 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(#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (pow.f64 (exp.f64 -2) x) (-.f64 -1 (pow.f64 (exp.f64 -2) x))) (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))) (/.f64 (pow.f64 (exp.f64 -2) x) (-.f64 -1 (pow.f64 (exp.f64 -2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 0 (exp.f64 (-.f64 (*.f64 -2 x) (log1p.f64 (pow.f64 (exp.f64 -2) x))))) (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (expm1.f64 (*.f64 -2 x)) (-.f64 -1 (pow.f64 (exp.f64 -2) x))))))))

simplify5.9s (10.2%)

Algorithm

1×

egglog

Counts

348 → 420

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -2 x))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 1 (.f64 -2 x)))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 1 (+.f64 (.f64 -2 x) (*.f64 -4/3 (pow.f64 x 3)))))
(/.f64 1 (pow.f64 (exp.f64 x) 2))
(/.f64 1 (pow.f64 (exp.f64 x) 2))
(/.f64 1 (pow.f64 (exp.f64 x) 2))
(/.f64 1 (pow.f64 (exp.f64 x) 2))
(/.f64 1 (pow.f64 (exp.f64 x) 2))
(/.f64 1 (pow.f64 (exp.f64 x) 2))
(/.f64 1 (pow.f64 (exp.f64 x) 2))
(/.f64 1 (pow.f64 (exp.f64 x) 2))
-2
(-.f64 (*.f64 2 x) 2)
(-.f64 (+.f64 (.f64 2 x) (.f64 -2 (pow.f64 x 2))) 2)
(-.f64 (+.f64 (.f64 4/3 (pow.f64 x 3)) (+.f64 (.f64 2 x) (*.f64 -2 (pow.f64 x 2)))) 2)
(*.f64 -1 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))))
(*.f64 -1 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))))
(*.f64 -1 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))))
(*.f64 -1 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2))))
(*.f64 -1 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) 1))
(*.f64 -1 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) 1))
(*.f64 -1 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) 1))
(*.f64 -1 (+.f64 (/.f64 1 (pow.f64 (exp.f64 x) 2)) 1))
x
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 2/15 (pow.f64 x 5)) x))
(+.f64 (.f64 -17/315 (pow.f64 x 7)) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(.f64 -1 (/.f64 (-.f64 (exp.f64 (.f64 -2 x)) 1) (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))))
(.f64 -1 (/.f64 (-.f64 (exp.f64 (.f64 -2 x)) 1) (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))))
(.f64 -1 (/.f64 (-.f64 (exp.f64 (.f64 -2 x)) 1) (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))))
(.f64 -1 (/.f64 (-.f64 (exp.f64 (.f64 -2 x)) 1) (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))))
(.f64 -1 (/.f64 (-.f64 (exp.f64 (.f64 -2 x)) 1) (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))))
(.f64 -1 (/.f64 (-.f64 (exp.f64 (.f64 -2 x)) 1) (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))))
(.f64 -1 (/.f64 (-.f64 (exp.f64 (.f64 -2 x)) 1) (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))))
(.f64 -1 (/.f64 (-.f64 (exp.f64 (.f64 -2 x)) 1) (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 x) 2)))))
(fabs.f64 (pow.f64 (exp.f64 -2) x))
(fabs.f64 (neg.f64 (pow.f64 (exp.f64 -2) x)))
(*.f64 1 (pow.f64 (exp.f64 -2) x))
(*.f64 (pow.f64 (exp.f64 -2) x) 1)
(*.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))
(*.f64 -1 (-.f64 (neg.f64 (pow.f64 (exp.f64 -2) x)) 0))
(.f64 (.f64 (exp.f64 (neg.f64 x)) -1) (*.f64 (exp.f64 (neg.f64 x)) -1))
(*.f64 (neg.f64 (exp.f64 (neg.f64 x))) (neg.f64 (exp.f64 (neg.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 -2) x)) (cbrt.f64 (pow.f64 (exp.f64 x) -4)))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -4)) (cbrt.f64 (pow.f64 (exp.f64 -2) x)))
(.f64 (+.f64 0 (+.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -4)) (.f64 0 (neg.f64 (cbrt.f64 (pow.f64 (exp.f64 -2) x)))))) (cbrt.f64 (pow.f64 (exp.f64 -2) x)))
(.f64 (+.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -4)) (+.f64 0 (.f64 (cbrt.f64 (pow.f64 (exp.f64 -2) x)) 0))) (-.f64 (cbrt.f64 (pow.f64 (exp.f64 -2) x)) 0))
(*.f64 (+.f64 0 (-.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -4)) 0)) (+.f64 0 (cbrt.f64 (pow.f64 (exp.f64 -2) x))))
(*.f64 (+.f64 (neg.f64 (exp.f64 (neg.f64 x))) 0) (-.f64 (neg.f64 (exp.f64 (neg.f64 x))) 0))
(*.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 (neg.f64 x)) 0))
(.f64 (+.f64 (.f64 (exp.f64 (neg.f64 x)) -1) 0) (-.f64 (*.f64 (exp.f64 (neg.f64 x)) -1) 0))
(*.f64 (neg.f64 (cbrt.f64 (pow.f64 (exp.f64 -2) x))) (neg.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -4))))
(*.f64 (neg.f64 (pow.f64 (exp.f64 -2) x)) -1)
(*.f64 -1 (neg.f64 (pow.f64 (exp.f64 -2) x)))
(-.f64 (pow.f64 (exp.f64 -2) x) 0)
(-.f64 1 (neg.f64 (expm1.f64 (*.f64 -2 x))))
(-.f64 3 (+.f64 3 (neg.f64 (pow.f64 (exp.f64 -2) x))))
(-.f64 3 (-.f64 3 (pow.f64 (exp.f64 -2) x)))
(-.f64 0 (neg.f64 (pow.f64 (exp.f64 -2) x)))
(/.f64 (pow.f64 (exp.f64 (neg.f64 x)) 6) (pow.f64 (exp.f64 x) -4))
(/.f64 (-.f64 (pow.f64 (exp.f64 (neg.f64 x)) 6) 0) (+.f64 (pow.f64 (exp.f64 x) -4) (+.f64 0 (*.f64 (pow.f64 (exp.f64 -2) x) 0))))
(/.f64 (pow.f64 (exp.f64 -2) x) 1)
(/.f64 -1 (/.f64 -1 (pow.f64 (exp.f64 -2) x)))
(/.f64 (-.f64 (neg.f64 (pow.f64 (exp.f64 -2) x)) 0) -1)
(/.f64 1 (exp.f64 (+.f64 x x)))
(/.f64 (+.f64 0 (pow.f64 (exp.f64 (neg.f64 x)) 6)) (pow.f64 (exp.f64 x) -4))
(/.f64 (neg.f64 (pow.f64 (exp.f64 -2) x)) -1)
(sqrt.f64 (pow.f64 (exp.f64 x) -4))
(pow.f64 (exp.f64 -2) x)
(pow.f64 (E.f64) (*.f64 -2 x))
(pow.f64 (exp.f64 (cbrt.f64 -2)) (*.f64 (cbrt.f64 4) x))
(pow.f64 (pow.f64 (exp.f64 x) (cbrt.f64 -2)) (cbrt.f64 4))
(pow.f64 (exp.f64 (cbrt.f64 (.f64 4 (pow.f64 x 2)))) (cbrt.f64 (.f64 -2 x)))
(pow.f64 (exp.f64 -1) (neg.f64 (*.f64 -2 x)))
(pow.f64 (exp.f64 (cbrt.f64 x)) (*.f64 -2 (cbrt.f64 (pow.f64 x 2))))
(pow.f64 (pow.f64 (exp.f64 -2) (cbrt.f64 x)) (cbrt.f64 (pow.f64 x 2)))
(pow.f64 (pow.f64 (exp.f64 (neg.f64 x)) 6) 1/3)
(pow.f64 (exp.f64 (cbrt.f64 (.f64 -2 x))) (cbrt.f64 (.f64 4 (pow.f64 x 2))))
(pow.f64 (exp.f64 x) -2)
(pow.f64 (pow.f64 (exp.f64 -2) x) 1)
(pow.f64 (exp.f64 (neg.f64 x)) 2)
(pow.f64 (exp.f64 -2) (.f64 2 (.f64 x 1/2)))
(pow.f64 (E.f64) (.f64 2 (/.f64 (.f64 -2 x) 2)))
(pow.f64 (exp.f64 (cbrt.f64 (.f64 -2 x))) (.f64 2 (/.f64 (cbrt.f64 (*.f64 4 (pow.f64 x 2))) 2)))
(pow.f64 (pow.f64 (exp.f64 (neg.f64 x)) 6) (*.f64 2 1/6))
(pow.f64 (pow.f64 (pow.f64 (exp.f64 -2) x) 6) 1/6)
(pow.f64 (pow.f64 (exp.f64 x) -4) 1/2)
(pow.f64 (pow.f64 (exp.f64 (neg.f64 x)) 6) (/.f64 2/3 2))
(pow.f64 (exp.f64 -2) (/.f64 (+.f64 x x) 2))
(pow.f64 (E.f64) (/.f64 (*.f64 x -4) 2))
(pow.f64 (exp.f64 (cbrt.f64 (.f64 -2 x))) (/.f64 (.f64 2 (cbrt.f64 (*.f64 4 (pow.f64 x 2)))) 2))
(pow.f64 (neg.f64 (exp.f64 (neg.f64 x))) 2)
(pow.f64 (*.f64 (exp.f64 (neg.f64 x)) -1) 2)
(pow.f64 (exp.f64 (*.f64 (cbrt.f64 4) x)) (cbrt.f64 -2))
(pow.f64 (exp.f64 (cbrt.f64 4)) (*.f64 x (cbrt.f64 -2)))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 x 2))) (*.f64 -2 (cbrt.f64 x)))
(pow.f64 (exp.f64 (*.f64 -2 (cbrt.f64 (pow.f64 x 2)))) (cbrt.f64 x))
(pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -2) x)) 3)
(pow.f64 (exp.f64 (+.f64 x x)) -1)
(cbrt.f64 (pow.f64 (exp.f64 (neg.f64 x)) 6))
(neg.f64 (-.f64 (neg.f64 (pow.f64 (exp.f64 -2) x)) 0))
(neg.f64 (neg.f64 (pow.f64 (exp.f64 -2) x)))
(if (!=.f64 (pow.f64 (exp.f64 -2) x) 0) (pow.f64 (exp.f64 -2) x) (pow.f64 (exp.f64 -2) x))
(if (!=.f64 -1 0) (pow.f64 (exp.f64 -2) x) (pow.f64 (exp.f64 -2) x))
(if (!=.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -4)) 0) (/.f64 (neg.f64 (cbrt.f64 (pow.f64 (exp.f64 -2) x))) (/.f64 -1 (cbrt.f64 (pow.f64 (exp.f64 x) -4)))) (pow.f64 (exp.f64 -2) x))
(if (!=.f64 (neg.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -4))) 0) (/.f64 (cbrt.f64 (pow.f64 (exp.f64 -2) x)) (/.f64 -1 (neg.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -4))))) (pow.f64 (exp.f64 -2) x))
(if (!=.f64 (neg.f64 (pow.f64 (exp.f64 -2) x)) 0) (pow.f64 (/.f64 -1 (neg.f64 (pow.f64 (exp.f64 -2) x))) -1) (pow.f64 (exp.f64 -2) x))
(if (!=.f64 1 0) (pow.f64 (exp.f64 -2) x) (pow.f64 (exp.f64 -2) x))
(if (!=.f64 0 0) (pow.f64 (exp.f64 -2) x) (pow.f64 (exp.f64 -2) x))
(if (!=.f64 (neg.f64 (pow.f64 (exp.f64 -2) x)) 0) (/.f64 (neg.f64 (pow.f64 (exp.f64 x) -4)) (neg.f64 (pow.f64 (exp.f64 -2) x))) (pow.f64 (exp.f64 -2) x))
(if (!=.f64 (pow.f64 (exp.f64 -2) x) 0) (exp.f64 (-.f64 (.f64 x -4) (.f64 -2 x))) (pow.f64 (exp.f64 -2) x))
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(+.f64 0 (/.f64 (expm1.f64 (*.f64 -2 x)) (-.f64 -1 (pow.f64 (exp.f64 -2) x))))

Outputs
1
(+.f64 1 (*.f64 -2 x))
(-.f64 (*.f64 -2 x) -1)
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 1 (.f64 -2 x)))
(fma.f64 2 (pow.f64 x 2) (-.f64 (*.f64 -2 x) -1))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 1 (+.f64 (.f64 -2 x) (*.f64 -4/3 (pow.f64 x 3)))))
(fma.f64 2 (pow.f64 x 2) (-.f64 (fma.f64 -2 x (*.f64 -4/3 (pow.f64 x 3))) -1))
(/.f64 1 (pow.f64 (exp.f64 x) 2))
(pow.f64 (exp.f64 -2) x)
(/.f64 1 (pow.f64 (exp.f64 x) 2))
(pow.f64 (exp.f64 -2) x)
(/.f64 1 (pow.f64 (exp.f64 x) 2))
(pow.f64 (exp.f64 -2) x)
(/.f64 1 (pow.f64 (exp.f64 x) 2))
(pow.f64 (exp.f64 -2) x)
(/.f64 1 (pow.f64 (exp.f64 x) 2))
(pow.f64 (exp.f64 -2) x)
(/.f64 1 (pow.f64 (exp.f64 x) 2))
(pow.f64 (exp.f64 -2) x)
(/.f64 1 (pow.f64 (exp.f64 x) 2))
(pow.f64 (exp.f64 -2) x)
(/.f64 1 (pow.f64 (exp.f64 x) 2))
(pow.f64 (exp.f64 -2) x)
-2
(-.f64 (*.f64 2 x) 2)
(fma.f64 2 x -2)
(-.f64 (+.f64 (.f64 2 x) (.f64 -2 (pow.f64 x 2))) 2)
(-.f64 (*.f64 -2 (+.f64 (neg.f64 x) (pow.f64 x 2))) 2)
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(if (!=.f64 (.f64 (neg.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))) (pow.f64 (exp.f64 -2) x)) 0) (/.f64 (+.f64 (pow.f64 (.f64 (neg.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))) -1) 3) (pow.f64 (.f64 (neg.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))) (pow.f64 (exp.f64 -2) x)) 3)) (+.f64 (.f64 (.f64 (neg.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))) -1) (.f64 (neg.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))) -1)) (-.f64 (.f64 (.f64 (neg.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))) (pow.f64 (exp.f64 -2) x)) (.f64 (neg.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))) (pow.f64 (exp.f64 -2) x))) (.f64 (.f64 (neg.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))) -1) (.f64 (neg.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))) (pow.f64 (exp.f64 -2) x)))))) (/.f64 (expm1.f64 (*.f64 -2 x)) (-.f64 -1 (pow.f64 (exp.f64 -2) x))))
(if (!=.f64 (neg.f64 (exp.f64 (-.f64 (.f64 -2 x) (log1p.f64 (pow.f64 (exp.f64 -2) x))))) 0) (/.f64 (expm1.f64 (.f64 -2 x)) (-.f64 -1 (pow.f64 (exp.f64 -2) x))) (/.f64 (expm1.f64 (*.f64 -2 x)) (-.f64 -1 (pow.f64 (exp.f64 -2) x))))
(if (!=.f64 0 0) (/.f64 (pow.f64 (/.f64 (expm1.f64 (.f64 -2 x)) (-.f64 -1 (pow.f64 (exp.f64 -2) x))) 3) (+.f64 0 (+.f64 (pow.f64 (/.f64 (expm1.f64 (.f64 -2 x)) (exp.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 2) (.f64 0 (/.f64 (expm1.f64 (.f64 -2 x)) (exp.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))))))) (/.f64 (expm1.f64 (*.f64 -2 x)) (-.f64 -1 (pow.f64 (exp.f64 -2) x))))
(if (!=.f64 0 0) (/.f64 (pow.f64 (/.f64 (expm1.f64 (.f64 -2 x)) (-.f64 -1 (pow.f64 (exp.f64 -2) x))) 3) (pow.f64 (/.f64 (expm1.f64 (.f64 -2 x)) (exp.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 2)) (/.f64 (expm1.f64 (*.f64 -2 x)) (-.f64 -1 (pow.f64 (exp.f64 -2) x))))
(if (!=.f64 (+.f64 0 (+.f64 (pow.f64 (/.f64 (expm1.f64 (.f64 -2 x)) (exp.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 2) (.f64 0 (/.f64 (expm1.f64 (.f64 -2 x)) (exp.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))))) 0) (/.f64 (pow.f64 (/.f64 (expm1.f64 (.f64 -2 x)) (-.f64 -1 (pow.f64 (exp.f64 -2) x))) 3) (+.f64 0 (+.f64 (pow.f64 (/.f64 (expm1.f64 (.f64 -2 x)) (exp.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 2) (.f64 0 (/.f64 (expm1.f64 (.f64 -2 x)) (exp.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))))))) (/.f64 (expm1.f64 (.f64 -2 x)) (-.f64 -1 (pow.f64 (exp.f64 -2) x))))
(if (!=.f64 (pow.f64 (/.f64 (expm1.f64 (.f64 -2 x)) (exp.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 2) 0) (/.f64 (pow.f64 (/.f64 (expm1.f64 (.f64 -2 x)) (-.f64 -1 (pow.f64 (exp.f64 -2) x))) 3) (pow.f64 (/.f64 (expm1.f64 (.f64 -2 x)) (exp.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 2)) (/.f64 (expm1.f64 (.f64 -2 x)) (-.f64 -1 (pow.f64 (exp.f64 -2) x))))
(+.f64 (.f64 (neg.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))) -1) (.f64 (neg.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))) (pow.f64 (exp.f64 -2) x)))
(/.f64 (expm1.f64 (*.f64 -2 x)) (-.f64 -1 (pow.f64 (exp.f64 -2) x)))
(+.f64 (.f64 (neg.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))) (pow.f64 (exp.f64 -2) x)) (.f64 (neg.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))) -1))
(/.f64 (expm1.f64 (*.f64 -2 x)) (-.f64 -1 (pow.f64 (exp.f64 -2) x)))
(+.f64 (/.f64 (pow.f64 (exp.f64 -2) x) (-.f64 -1 (pow.f64 (exp.f64 -2) x))) (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))))
(/.f64 (expm1.f64 (*.f64 -2 x)) (-.f64 -1 (pow.f64 (exp.f64 -2) x)))
(+.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))) (/.f64 (pow.f64 (exp.f64 -2) x) (-.f64 -1 (pow.f64 (exp.f64 -2) x))))
(/.f64 (expm1.f64 (*.f64 -2 x)) (-.f64 -1 (pow.f64 (exp.f64 -2) x)))
(+.f64 (-.f64 0 (exp.f64 (-.f64 (*.f64 -2 x) (log1p.f64 (pow.f64 (exp.f64 -2) x))))) (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))))
(/.f64 (expm1.f64 (*.f64 -2 x)) (-.f64 -1 (pow.f64 (exp.f64 -2) x)))
(+.f64 0 (/.f64 (expm1.f64 (*.f64 -2 x)) (-.f64 -1 (pow.f64 (exp.f64 -2) x))))
(/.f64 (expm1.f64 (*.f64 -2 x)) (-.f64 -1 (pow.f64 (exp.f64 -2) x)))

eval279.0ms (0.5%)

Compiler: Compiled 13758 to 11283 computations (18% saved)

prune58.0ms (0.1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	415	5	420
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	416	5	421

Error

Counts

421 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(/.f64 (expm1.f64 (.f64 x -2)) (-.f64 -1 (exp.f64 (.f64 (*.f64 x (+.f64 -4 -2)) 1/3))))
▶	0.0b	(/.f64 (expm1.f64 (.f64 x -2)) (-.f64 -1 (exp.f64 (.f64 -2 x))))
▶	2.9b	(/.f64 (expm1.f64 (*.f64 x -2)) -2)
▶	2.2b	(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
	2.2b	x

Compiler

Compiled 45 to 37 computations (17.8% saved)

localize8.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
✓	0.1b	(*.f64 -1/3 (pow.f64 x 3))

Compiler

Compiled 19 to 14 computations (26.3% saved)

series9.0ms (0%)

Counts

2 → 7

Calls

6 calls:

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

Compiler

Compiled 635 to 520 computations (18.1% saved)

rewrite1.9s (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

47×	`egg-rr`
24×	`egg-rr`

Counts

2 → 71

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 -1/3) (.f64 (cbrt.f64 1/9) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 1/9) (pow.f64 x 3)) (cbrt.f64 -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (.f64 (pow.f64 x 2) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 x 2) -1/3) x)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 1/9) (.f64 (pow.f64 x 3) (cbrt.f64 -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (pow.f64 x 3) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (.f64 (pow.f64 x 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 x 3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 1/9) (pow.f64 x 2)) (.f64 (cbrt.f64 -1/3) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 x 2) (.f64 -1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 x 3) (cbrt.f64 -1/3)) (cbrt.f64 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 x 3) -1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1/3 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 -1/3) x) (.f64 (cbrt.f64 1/9) (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 -1/3 x) (pow.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (.f64 (pow.f64 x 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 x 3) -1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (pow.f64 x 3) -1/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 x 3) -1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (cbrt.f64 -1/3) x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (pow.f64 x 3) -1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (.f64 (pow.f64 x 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (pow.f64 (.f64 (pow.f64 x 3) -1/3) 3) 0) (/.f64 1 (pow.f64 (pow.f64 (.f64 (pow.f64 x 3) -1/3) 3) -1/3)) (.f64 (pow.f64 x 3) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (.f64 (cbrt.f64 -1/3) x) 0) (/.f64 1 (pow.f64 (.f64 (cbrt.f64 -1/3) x) -3)) (*.f64 (pow.f64 x 3) -1/3))))))
((#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) (cbrt.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 2)) (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 1 (.f64 (pow.f64 x 2) -1/3)) x)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (+.f64 1 (.f64 (pow.f64 x 2) -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (cbrt.f64 (pow.f64 x 2)) (.f64 (.f64 (cbrt.f64 -1/3) x) (-.f64 (.f64 (cbrt.f64 -1/3) x) (cbrt.f64 x)))) (+.f64 (cbrt.f64 x) (.f64 (cbrt.f64 -1/3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 (cbrt.f64 1/9) (pow.f64 x 2)) (.f64 (cbrt.f64 x) (-.f64 (cbrt.f64 x) (.f64 (cbrt.f64 -1/3) x)))) (+.f64 (cbrt.f64 x) (.f64 (cbrt.f64 -1/3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (-.f64 (.f64 (pow.f64 x 2) -1/3) -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 -1/3 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 -1/3 (pow.f64 x 3) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (pow.f64 x 3) -1/3) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (pow.f64 x 2) -1/3) x x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 -1/3) (.f64 (cbrt.f64 1/9) (pow.f64 x 3)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (pow.f64 x 3) (cbrt.f64 -1/3)) (cbrt.f64 1/9) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (.f64 (pow.f64 x 2) -1/3) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 (pow.f64 x 3) -1/3) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (.f64 (pow.f64 x 3) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (.f64 (pow.f64 x 3) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (pow.f64 x 3) -1/3) 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (cbrt.f64 -1/3) x) (.f64 (cbrt.f64 1/9) (pow.f64 x 2)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 x 2)) (.f64 (pow.f64 x 3) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 2)) (cbrt.f64 x) (.f64 (pow.f64 x 3) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 2) (.f64 -1/3 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (cbrt.f64 1/9) (pow.f64 x 2)) (.f64 (cbrt.f64 -1/3) x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 -1/3 x) (pow.f64 x 2) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/3 (pow.f64 x 3) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3) -1/3 x)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (.f64 (pow.f64 x 3) 1/3) x))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (.f64 (pow.f64 x 3) -1/3) 0) (/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) -1/27 (pow.f64 x 3)) (fma.f64 x x (.f64 (.f64 (pow.f64 x 3) -1/3) (-.f64 (.f64 (pow.f64 x 3) -1/3) x)))) (fma.f64 -1/3 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (.f64 (pow.f64 x 3) -1/3) 0) (.f64 (pow.f64 x 3) (+.f64 (/.f64 x (pow.f64 x 3)) -1/3)) (fma.f64 -1/3 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (fma.f64 x x (.f64 (.f64 (pow.f64 x 3) -1/3) (-.f64 (.f64 (pow.f64 x 3) -1/3) x))) 0) (/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) -1/27 (pow.f64 x 3)) (fma.f64 x x (.f64 (.f64 (pow.f64 x 3) -1/3) (-.f64 (.f64 (pow.f64 x 3) -1/3) x)))) (fma.f64 -1/3 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 x 0) (/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) -1/27 (pow.f64 x 3)) (fma.f64 x x (.f64 (.f64 (pow.f64 x 3) -1/3) (-.f64 (.f64 (pow.f64 x 3) -1/3) x)))) (fma.f64 -1/3 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 (.f64 (pow.f64 x 3) -1/3) x) 0) (/.f64 (fma.f64 x x (.f64 -1/9 (pow.f64 (pow.f64 x 3) 2))) (-.f64 x (.f64 (pow.f64 x 3) -1/3))) (fma.f64 -1/3 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 x (.f64 (pow.f64 x 3) -1/3)) 0) (/.f64 (fma.f64 x x (.f64 -1/9 (pow.f64 (pow.f64 x 3) 2))) (-.f64 x (.f64 (pow.f64 x 3) -1/3))) (fma.f64 -1/3 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 x 0) (.f64 x (/.f64 (fma.f64 -1/3 (pow.f64 x 3) x) x)) (fma.f64 -1/3 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 3) 0) (/.f64 1 (pow.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 3) -1/3)) (fma.f64 -1/3 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) 0) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) -3)) (fma.f64 -1/3 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (neg.f64 x) 0) (/.f64 (-.f64 (pow.f64 (.f64 (pow.f64 x 3) -1/3) 3) (neg.f64 (pow.f64 x 3))) (fma.f64 x x (.f64 (.f64 (pow.f64 x 3) -1/3) (-.f64 (.f64 (pow.f64 x 3) -1/3) x)))) (fma.f64 -1/3 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (.f64 (pow.f64 x 3) -1/3) 0) (/.f64 (-.f64 (pow.f64 (.f64 (pow.f64 x 3) -1/3) 3) (neg.f64 (pow.f64 x 3))) (fma.f64 x x (.f64 (.f64 (pow.f64 x 3) -1/3) (-.f64 (.f64 (pow.f64 x 3) -1/3) x)))) (fma.f64 -1/3 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (fma.f64 x x (.f64 (.f64 (pow.f64 x 3) -1/3) (-.f64 (.f64 (pow.f64 x 3) -1/3) x))) 0) (/.f64 (-.f64 (pow.f64 (.f64 (pow.f64 x 3) -1/3) 3) (neg.f64 (pow.f64 x 3))) (fma.f64 x x (.f64 (.f64 (pow.f64 x 3) -1/3) (-.f64 (.f64 (pow.f64 x 3) -1/3) x)))) (fma.f64 -1/3 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (pow.f64 x 3) -1/3) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (.f64 (pow.f64 x 3) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (pow.f64 x 3) -1/3) 0) x)))))

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) (cbrt.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 2)) (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (*.f64 (pow.f64 x 2) -1/3)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (+.f64 1 (*.f64 (pow.f64 x 2) -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cbrt.f64 (pow.f64 x 2)) (*.f64 (*.f64 (cbrt.f64 -1/3) x) (-.f64 (*.f64 (cbrt.f64 -1/3) x) (cbrt.f64 x)))) (+.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 -1/3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (cbrt.f64 1/9) (pow.f64 x 2)) (*.f64 (cbrt.f64 x) (-.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 -1/3) x)))) (+.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 -1/3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (-.f64 (*.f64 (pow.f64 x 2) -1/3) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -1/3 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 x 3) -1/3) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 x 2) -1/3) x x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 -1/3) (*.f64 (cbrt.f64 1/9) (pow.f64 x 3)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 x 3) (cbrt.f64 -1/3)) (cbrt.f64 1/9) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 (pow.f64 x 2) -1/3) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (pow.f64 x 3) -1/3) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 (pow.f64 x 3) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (*.f64 (pow.f64 x 3) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 x 3) -1/3) 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 -1/3) x) (*.f64 (cbrt.f64 1/9) (pow.f64 x 2)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 x 2)) (*.f64 (pow.f64 x 3) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 2)) (cbrt.f64 x) (*.f64 (pow.f64 x 3) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 2) (*.f64 -1/3 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 1/9) (pow.f64 x 2)) (*.f64 (cbrt.f64 -1/3) x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/3 x) (pow.f64 x 2) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/3 (pow.f64 x 3) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3) -1/3 x)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (*.f64 (pow.f64 x 3) 1/3) x))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 (pow.f64 x 3) -1/3) 0) (/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) -1/27 (pow.f64 x 3)) (fma.f64 x x (*.f64 (*.f64 (pow.f64 x 3) -1/3) (-.f64 (*.f64 (pow.f64 x 3) -1/3) x)))) (fma.f64 -1/3 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 (pow.f64 x 3) -1/3) 0) (*.f64 (pow.f64 x 3) (+.f64 (/.f64 x (pow.f64 x 3)) -1/3)) (fma.f64 -1/3 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (fma.f64 x x (*.f64 (*.f64 (pow.f64 x 3) -1/3) (-.f64 (*.f64 (pow.f64 x 3) -1/3) x))) 0) (/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) -1/27 (pow.f64 x 3)) (fma.f64 x x (*.f64 (*.f64 (pow.f64 x 3) -1/3) (-.f64 (*.f64 (pow.f64 x 3) -1/3) x)))) (fma.f64 -1/3 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 x 0) (/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) -1/27 (pow.f64 x 3)) (fma.f64 x x (*.f64 (*.f64 (pow.f64 x 3) -1/3) (-.f64 (*.f64 (pow.f64 x 3) -1/3) x)))) (fma.f64 -1/3 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 (*.f64 (pow.f64 x 3) -1/3) x) 0) (/.f64 (fma.f64 x x (*.f64 -1/9 (pow.f64 (pow.f64 x 3) 2))) (-.f64 x (*.f64 (pow.f64 x 3) -1/3))) (fma.f64 -1/3 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 x (*.f64 (pow.f64 x 3) -1/3)) 0) (/.f64 (fma.f64 x x (*.f64 -1/9 (pow.f64 (pow.f64 x 3) 2))) (-.f64 x (*.f64 (pow.f64 x 3) -1/3))) (fma.f64 -1/3 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 x 0) (*.f64 x (/.f64 (fma.f64 -1/3 (pow.f64 x 3) x) x)) (fma.f64 -1/3 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 3) 0) (/.f64 1 (pow.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 3) -1/3)) (fma.f64 -1/3 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) 0) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) -3)) (fma.f64 -1/3 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (neg.f64 x) 0) (/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 x 3) -1/3) 3) (neg.f64 (pow.f64 x 3))) (fma.f64 x x (*.f64 (*.f64 (pow.f64 x 3) -1/3) (-.f64 (*.f64 (pow.f64 x 3) -1/3) x)))) (fma.f64 -1/3 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 (pow.f64 x 3) -1/3) 0) (/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 x 3) -1/3) 3) (neg.f64 (pow.f64 x 3))) (fma.f64 x x (*.f64 (*.f64 (pow.f64 x 3) -1/3) (-.f64 (*.f64 (pow.f64 x 3) -1/3) x)))) (fma.f64 -1/3 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (fma.f64 x x (*.f64 (*.f64 (pow.f64 x 3) -1/3) (-.f64 (*.f64 (pow.f64 x 3) -1/3) x))) 0) (/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 x 3) -1/3) 3) (neg.f64 (pow.f64 x 3))) (fma.f64 x x (*.f64 (*.f64 (pow.f64 x 3) -1/3) (-.f64 (*.f64 (pow.f64 x 3) -1/3) x)))) (fma.f64 -1/3 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x 3) -1/3) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (pow.f64 x 3) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (pow.f64 x 3) -1/3) 0) x)))))

simplify2.5s (4.3%)

Algorithm

1×

egglog

Counts

78 → 86

Calls

Call 1

Inputs
x
(+.f64 x (*.f64 -1/3 (pow.f64 (/.f64 1 x) -3)))
(+.f64 x (*.f64 -1/3 (pow.f64 (/.f64 1 x) -3)))
(+.f64 x (*.f64 -1/3 (pow.f64 (/.f64 1 x) -3)))
(+.f64 (*.f64 1/3 (pow.f64 (/.f64 -1 x) -3)) x)
(+.f64 (*.f64 1/3 (pow.f64 (/.f64 -1 x) -3)) x)
(+.f64 (*.f64 1/3 (pow.f64 (/.f64 -1 x) -3)) x)
(.f64 (cbrt.f64 -1/3) (.f64 (cbrt.f64 1/9) (pow.f64 x 3)))
(.f64 (.f64 (cbrt.f64 1/9) (pow.f64 x 3)) (cbrt.f64 -1/3))
(.f64 x (.f64 (pow.f64 x 2) -1/3))
(.f64 (.f64 (pow.f64 x 2) -1/3) x)
(.f64 (cbrt.f64 1/9) (.f64 (pow.f64 x 3) (cbrt.f64 -1/3)))
(.f64 1 (.f64 (pow.f64 x 3) -1/3))
(.f64 -1 (.f64 (pow.f64 x 3) 1/3))
(*.f64 (pow.f64 x 3) -1/3)
(.f64 (.f64 (cbrt.f64 1/9) (pow.f64 x 2)) (*.f64 (cbrt.f64 -1/3) x))
(.f64 (pow.f64 x 2) (.f64 -1/3 x))
(.f64 (.f64 (pow.f64 x 3) (cbrt.f64 -1/3)) (cbrt.f64 1/9))
(.f64 (.f64 (pow.f64 x 3) -1/3) 1)
(*.f64 -1/3 (pow.f64 x 3))
(.f64 (.f64 (cbrt.f64 -1/3) x) (*.f64 (cbrt.f64 1/9) (pow.f64 x 2)))
(.f64 (.f64 -1/3 x) (pow.f64 x 2))
(-.f64 0 (*.f64 (pow.f64 x 3) 1/3))
(/.f64 (*.f64 (pow.f64 x 3) -1/3) 1)
(pow.f64 (pow.f64 (*.f64 (pow.f64 x 3) -1/3) 3) 1/3)
(pow.f64 (*.f64 (pow.f64 x 3) -1/3) 1)
(pow.f64 (*.f64 (cbrt.f64 -1/3) x) 3)
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 3) -1/3) 3))
(neg.f64 (*.f64 (pow.f64 x 3) 1/3))
(if (!=.f64 (pow.f64 (.f64 (pow.f64 x 3) -1/3) 3) 0) (/.f64 1 (pow.f64 (pow.f64 (.f64 (pow.f64 x 3) -1/3) 3) -1/3)) (*.f64 (pow.f64 x 3) -1/3))
(if (!=.f64 (.f64 (cbrt.f64 -1/3) x) 0) (/.f64 1 (pow.f64 (.f64 (cbrt.f64 -1/3) x) -3)) (*.f64 (pow.f64 x 3) -1/3))
(*.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) (cbrt.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 2)) (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)))
(.f64 (+.f64 1 (.f64 (pow.f64 x 2) -1/3)) x)
(.f64 x (+.f64 1 (.f64 (pow.f64 x 2) -1/3)))
(.f64 (+.f64 (cbrt.f64 (pow.f64 x 2)) (.f64 (.f64 (cbrt.f64 -1/3) x) (-.f64 (.f64 (cbrt.f64 -1/3) x) (cbrt.f64 x)))) (+.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 -1/3) x)))
(.f64 (+.f64 (.f64 (cbrt.f64 1/9) (pow.f64 x 2)) (.f64 (cbrt.f64 x) (-.f64 (cbrt.f64 x) (.f64 (cbrt.f64 -1/3) x)))) (+.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 -1/3) x)))
(.f64 x (-.f64 (.f64 (pow.f64 x 2) -1/3) -1))
(*.f64 1 (fma.f64 -1/3 (pow.f64 x 3) x))
(*.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 1)
(-.f64 (*.f64 (pow.f64 x 3) -1/3) (neg.f64 x))
(/.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 1)
(fma.f64 (*.f64 (pow.f64 x 2) -1/3) x x)
(fma.f64 (cbrt.f64 -1/3) (*.f64 (cbrt.f64 1/9) (pow.f64 x 3)) x)
(fma.f64 (*.f64 (pow.f64 x 3) (cbrt.f64 -1/3)) (cbrt.f64 1/9) x)
(fma.f64 x (*.f64 (pow.f64 x 2) -1/3) x)
(fma.f64 1 (*.f64 (pow.f64 x 3) -1/3) x)
(fma.f64 1 x (*.f64 (pow.f64 x 3) -1/3))
(fma.f64 x 1 (*.f64 (pow.f64 x 3) -1/3))
(fma.f64 (*.f64 (pow.f64 x 3) -1/3) 1 x)
(fma.f64 (.f64 (cbrt.f64 -1/3) x) (.f64 (cbrt.f64 1/9) (pow.f64 x 2)) x)
(fma.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 x 2)) (*.f64 (pow.f64 x 3) -1/3))
(fma.f64 (cbrt.f64 (pow.f64 x 2)) (cbrt.f64 x) (*.f64 (pow.f64 x 3) -1/3))
(fma.f64 (pow.f64 x 2) (*.f64 -1/3 x) x)
(fma.f64 (.f64 (cbrt.f64 1/9) (pow.f64 x 2)) (.f64 (cbrt.f64 -1/3) x) x)
(fma.f64 (*.f64 -1/3 x) (pow.f64 x 2) x)
(fma.f64 -1/3 (pow.f64 x 3) x)
(fma.f64 (pow.f64 x 3) -1/3 x)
(pow.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 3) 1/3)
(pow.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 1)
(pow.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) 3)
(cbrt.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 3))
(neg.f64 (-.f64 (*.f64 (pow.f64 x 3) 1/3) x))
(if (!=.f64 (.f64 (pow.f64 x 3) -1/3) 0) (/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) -1/27 (pow.f64 x 3)) (fma.f64 x x (.f64 (.f64 (pow.f64 x 3) -1/3) (-.f64 (.f64 (pow.f64 x 3) -1/3) x)))) (fma.f64 -1/3 (pow.f64 x 3) x))
(if (!=.f64 (.f64 (pow.f64 x 3) -1/3) 0) (.f64 (pow.f64 x 3) (+.f64 (/.f64 x (pow.f64 x 3)) -1/3)) (fma.f64 -1/3 (pow.f64 x 3) x))
(if (!=.f64 (fma.f64 x x (.f64 (.f64 (pow.f64 x 3) -1/3) (-.f64 (.f64 (pow.f64 x 3) -1/3) x))) 0) (/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) -1/27 (pow.f64 x 3)) (fma.f64 x x (.f64 (.f64 (pow.f64 x 3) -1/3) (-.f64 (.f64 (pow.f64 x 3) -1/3) x)))) (fma.f64 -1/3 (pow.f64 x 3) x))
(if (!=.f64 x 0) (/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) -1/27 (pow.f64 x 3)) (fma.f64 x x (.f64 (.f64 (pow.f64 x 3) -1/3) (-.f64 (*.f64 (pow.f64 x 3) -1/3) x)))) (fma.f64 -1/3 (pow.f64 x 3) x))
(if (!=.f64 (-.f64 (.f64 (pow.f64 x 3) -1/3) x) 0) (/.f64 (fma.f64 x x (.f64 -1/9 (pow.f64 (pow.f64 x 3) 2))) (-.f64 x (*.f64 (pow.f64 x 3) -1/3))) (fma.f64 -1/3 (pow.f64 x 3) x))
(if (!=.f64 (-.f64 x (.f64 (pow.f64 x 3) -1/3)) 0) (/.f64 (fma.f64 x x (.f64 -1/9 (pow.f64 (pow.f64 x 3) 2))) (-.f64 x (*.f64 (pow.f64 x 3) -1/3))) (fma.f64 -1/3 (pow.f64 x 3) x))
(if (!=.f64 x 0) (*.f64 x (/.f64 (fma.f64 -1/3 (pow.f64 x 3) x) x)) (fma.f64 -1/3 (pow.f64 x 3) x))
(if (!=.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 3) 0) (/.f64 1 (pow.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 3) -1/3)) (fma.f64 -1/3 (pow.f64 x 3) x))
(if (!=.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) 0) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) -3)) (fma.f64 -1/3 (pow.f64 x 3) x))
(if (!=.f64 (neg.f64 x) 0) (/.f64 (-.f64 (pow.f64 (.f64 (pow.f64 x 3) -1/3) 3) (neg.f64 (pow.f64 x 3))) (fma.f64 x x (.f64 (.f64 (pow.f64 x 3) -1/3) (-.f64 (.f64 (pow.f64 x 3) -1/3) x)))) (fma.f64 -1/3 (pow.f64 x 3) x))
(if (!=.f64 (.f64 (pow.f64 x 3) -1/3) 0) (/.f64 (-.f64 (pow.f64 (.f64 (pow.f64 x 3) -1/3) 3) (neg.f64 (pow.f64 x 3))) (fma.f64 x x (.f64 (.f64 (pow.f64 x 3) -1/3) (-.f64 (*.f64 (pow.f64 x 3) -1/3) x)))) (fma.f64 -1/3 (pow.f64 x 3) x))
(if (!=.f64 (fma.f64 x x (.f64 (.f64 (pow.f64 x 3) -1/3) (-.f64 (.f64 (pow.f64 x 3) -1/3) x))) 0) (/.f64 (-.f64 (pow.f64 (.f64 (pow.f64 x 3) -1/3) 3) (neg.f64 (pow.f64 x 3))) (fma.f64 x x (.f64 (.f64 (pow.f64 x 3) -1/3) (-.f64 (*.f64 (pow.f64 x 3) -1/3) x)))) (fma.f64 -1/3 (pow.f64 x 3) x))
(+.f64 (*.f64 (pow.f64 x 3) -1/3) x)
(+.f64 x (*.f64 (pow.f64 x 3) -1/3))
(+.f64 (-.f64 (*.f64 (pow.f64 x 3) -1/3) 0) x)

Outputs
x
(+.f64 x (*.f64 -1/3 (pow.f64 (/.f64 1 x) -3)))
(fma.f64 -1/3 (pow.f64 (/.f64 1 x) -3) x)
(+.f64 x (*.f64 -1/3 (pow.f64 (/.f64 1 x) -3)))
(fma.f64 -1/3 (pow.f64 (/.f64 1 x) -3) x)
(+.f64 x (*.f64 -1/3 (pow.f64 (/.f64 1 x) -3)))
(fma.f64 -1/3 (pow.f64 (/.f64 1 x) -3) x)
(+.f64 (*.f64 1/3 (pow.f64 (/.f64 -1 x) -3)) x)
(fma.f64 1/3 (pow.f64 (/.f64 -1 x) -3) x)
(+.f64 (*.f64 1/3 (pow.f64 (/.f64 -1 x) -3)) x)
(fma.f64 1/3 (pow.f64 (/.f64 -1 x) -3) x)
(+.f64 (*.f64 1/3 (pow.f64 (/.f64 -1 x) -3)) x)
(fma.f64 1/3 (pow.f64 (/.f64 -1 x) -3) x)
(.f64 (cbrt.f64 -1/3) (.f64 (cbrt.f64 1/9) (pow.f64 x 3)))
(*.f64 -1/3 (pow.f64 x 3))
(.f64 (.f64 (cbrt.f64 1/9) (pow.f64 x 3)) (cbrt.f64 -1/3))
(*.f64 -1/3 (pow.f64 x 3))
(.f64 x (.f64 (pow.f64 x 2) -1/3))
(*.f64 -1/3 (pow.f64 x 3))
(.f64 (.f64 (pow.f64 x 2) -1/3) x)
(*.f64 -1/3 (pow.f64 x 3))
(.f64 (cbrt.f64 1/9) (.f64 (pow.f64 x 3) (cbrt.f64 -1/3)))
(*.f64 -1/3 (pow.f64 x 3))
(.f64 1 (.f64 (pow.f64 x 3) -1/3))
(*.f64 -1/3 (pow.f64 x 3))
(.f64 -1 (.f64 (pow.f64 x 3) 1/3))
(*.f64 -1/3 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -1/3)
(*.f64 -1/3 (pow.f64 x 3))
(.f64 (.f64 (cbrt.f64 1/9) (pow.f64 x 2)) (*.f64 (cbrt.f64 -1/3) x))
(*.f64 -1/3 (pow.f64 x 3))
(.f64 (pow.f64 x 2) (.f64 -1/3 x))
(*.f64 -1/3 (pow.f64 x 3))
(.f64 (.f64 (pow.f64 x 3) (cbrt.f64 -1/3)) (cbrt.f64 1/9))
(*.f64 -1/3 (pow.f64 x 3))
(.f64 (.f64 (pow.f64 x 3) -1/3) 1)
(*.f64 -1/3 (pow.f64 x 3))
(*.f64 -1/3 (pow.f64 x 3))
(.f64 (.f64 (cbrt.f64 -1/3) x) (*.f64 (cbrt.f64 1/9) (pow.f64 x 2)))
(*.f64 -1/3 (pow.f64 x 3))
(.f64 (.f64 -1/3 x) (pow.f64 x 2))
(*.f64 -1/3 (pow.f64 x 3))
(-.f64 0 (*.f64 (pow.f64 x 3) 1/3))
(*.f64 -1/3 (pow.f64 x 3))
(/.f64 (*.f64 (pow.f64 x 3) -1/3) 1)
(*.f64 -1/3 (pow.f64 x 3))
(pow.f64 (pow.f64 (*.f64 (pow.f64 x 3) -1/3) 3) 1/3)
(*.f64 -1/3 (pow.f64 x 3))
(pow.f64 (*.f64 (pow.f64 x 3) -1/3) 1)
(*.f64 -1/3 (pow.f64 x 3))
(pow.f64 (*.f64 (cbrt.f64 -1/3) x) 3)
(*.f64 -1/3 (pow.f64 x 3))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 3) -1/3) 3))
(*.f64 -1/3 (pow.f64 x 3))
(neg.f64 (*.f64 (pow.f64 x 3) 1/3))
(*.f64 -1/3 (pow.f64 x 3))
(if (!=.f64 (pow.f64 (.f64 (pow.f64 x 3) -1/3) 3) 0) (/.f64 1 (pow.f64 (pow.f64 (.f64 (pow.f64 x 3) -1/3) 3) -1/3)) (*.f64 (pow.f64 x 3) -1/3))
(if (!=.f64 (.f64 (pow.f64 (pow.f64 x 3) 3) -1/27) 0) (pow.f64 (pow.f64 (.f64 (pow.f64 (pow.f64 x 3) 3) -1/27) -1/3) -1) (*.f64 -1/3 (pow.f64 x 3)))
(if (!=.f64 (.f64 (cbrt.f64 -1/3) x) 0) (/.f64 1 (pow.f64 (.f64 (cbrt.f64 -1/3) x) -3)) (*.f64 (pow.f64 x 3) -1/3))
(if (!=.f64 (.f64 (cbrt.f64 -1/3) x) 0) (/.f64 1 (pow.f64 (.f64 (cbrt.f64 -1/3) x) -3)) (*.f64 -1/3 (pow.f64 x 3)))
(*.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) (cbrt.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 2)))
(fma.f64 -1/3 (pow.f64 x 3) x)
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 2)) (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)))
(fma.f64 -1/3 (pow.f64 x 3) x)
(.f64 (+.f64 1 (.f64 (pow.f64 x 2) -1/3)) x)
(fma.f64 -1/3 (pow.f64 x 3) x)
(.f64 x (+.f64 1 (.f64 (pow.f64 x 2) -1/3)))
(fma.f64 -1/3 (pow.f64 x 3) x)
(.f64 (+.f64 (cbrt.f64 (pow.f64 x 2)) (.f64 (.f64 (cbrt.f64 -1/3) x) (-.f64 (.f64 (cbrt.f64 -1/3) x) (cbrt.f64 x)))) (+.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 -1/3) x)))
(fma.f64 -1/3 (pow.f64 x 3) x)
(.f64 (+.f64 (.f64 (cbrt.f64 1/9) (pow.f64 x 2)) (.f64 (cbrt.f64 x) (-.f64 (cbrt.f64 x) (.f64 (cbrt.f64 -1/3) x)))) (+.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 -1/3) x)))
(fma.f64 -1/3 (pow.f64 x 3) x)
(.f64 x (-.f64 (.f64 (pow.f64 x 2) -1/3) -1))
(fma.f64 -1/3 (pow.f64 x 3) x)
(*.f64 1 (fma.f64 -1/3 (pow.f64 x 3) x))
(fma.f64 -1/3 (pow.f64 x 3) x)
(*.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 1)
(fma.f64 -1/3 (pow.f64 x 3) x)
(-.f64 (*.f64 (pow.f64 x 3) -1/3) (neg.f64 x))
(fma.f64 -1/3 (pow.f64 x 3) x)
(/.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 1)
(fma.f64 -1/3 (pow.f64 x 3) x)
(fma.f64 (*.f64 (pow.f64 x 2) -1/3) x x)
(fma.f64 -1/3 (pow.f64 x 3) x)
(fma.f64 (cbrt.f64 -1/3) (*.f64 (cbrt.f64 1/9) (pow.f64 x 3)) x)
(fma.f64 -1/3 (pow.f64 x 3) x)
(fma.f64 (*.f64 (pow.f64 x 3) (cbrt.f64 -1/3)) (cbrt.f64 1/9) x)
(fma.f64 -1/3 (pow.f64 x 3) x)
(fma.f64 x (*.f64 (pow.f64 x 2) -1/3) x)
(fma.f64 -1/3 (pow.f64 x 3) x)
(fma.f64 1 (*.f64 (pow.f64 x 3) -1/3) x)
(fma.f64 -1/3 (pow.f64 x 3) x)
(fma.f64 1 x (*.f64 (pow.f64 x 3) -1/3))
(fma.f64 -1/3 (pow.f64 x 3) x)
(fma.f64 x 1 (*.f64 (pow.f64 x 3) -1/3))
(fma.f64 -1/3 (pow.f64 x 3) x)
(fma.f64 (*.f64 (pow.f64 x 3) -1/3) 1 x)
(fma.f64 -1/3 (pow.f64 x 3) x)
(fma.f64 (.f64 (cbrt.f64 -1/3) x) (.f64 (cbrt.f64 1/9) (pow.f64 x 2)) x)
(fma.f64 -1/3 (pow.f64 x 3) x)
(fma.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 x 2)) (*.f64 (pow.f64 x 3) -1/3))
(fma.f64 -1/3 (pow.f64 x 3) x)
(fma.f64 (cbrt.f64 (pow.f64 x 2)) (cbrt.f64 x) (*.f64 (pow.f64 x 3) -1/3))
(fma.f64 -1/3 (pow.f64 x 3) x)
(fma.f64 (pow.f64 x 2) (*.f64 -1/3 x) x)
(fma.f64 -1/3 (pow.f64 x 3) x)
(fma.f64 (.f64 (cbrt.f64 1/9) (pow.f64 x 2)) (.f64 (cbrt.f64 -1/3) x) x)
(fma.f64 -1/3 (pow.f64 x 3) x)
(fma.f64 (*.f64 -1/3 x) (pow.f64 x 2) x)
(fma.f64 -1/3 (pow.f64 x 3) x)
(fma.f64 -1/3 (pow.f64 x 3) x)
(fma.f64 (pow.f64 x 3) -1/3 x)
(fma.f64 -1/3 (pow.f64 x 3) x)
(pow.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 3) 1/3)
(fma.f64 -1/3 (pow.f64 x 3) x)
(pow.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 1)
(fma.f64 -1/3 (pow.f64 x 3) x)
(pow.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) 3)
(fma.f64 -1/3 (pow.f64 x 3) x)
(cbrt.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 3))
(fma.f64 -1/3 (pow.f64 x 3) x)
(neg.f64 (-.f64 (*.f64 (pow.f64 x 3) 1/3) x))
(fma.f64 -1/3 (pow.f64 x 3) x)
(if (!=.f64 (.f64 (pow.f64 x 3) -1/3) 0) (/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) -1/27 (pow.f64 x 3)) (fma.f64 x x (.f64 (.f64 (pow.f64 x 3) -1/3) (-.f64 (.f64 (pow.f64 x 3) -1/3) x)))) (fma.f64 -1/3 (pow.f64 x 3) x))
(if (!=.f64 (.f64 -1/3 (pow.f64 x 3)) 0) (/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) -1/27 (pow.f64 x 3)) (fma.f64 x x (.f64 (*.f64 1/3 (pow.f64 x 3)) (fma.f64 1/3 (pow.f64 x 3) x)))) (fma.f64 -1/3 (pow.f64 x 3) x))
(if (!=.f64 (.f64 (pow.f64 x 3) -1/3) 0) (.f64 (pow.f64 x 3) (+.f64 (/.f64 x (pow.f64 x 3)) -1/3)) (fma.f64 -1/3 (pow.f64 x 3) x))
(if (!=.f64 (.f64 -1/3 (pow.f64 x 3)) 0) (.f64 (pow.f64 x 3) (-.f64 (/.f64 x (pow.f64 x 3)) 1/3)) (fma.f64 -1/3 (pow.f64 x 3) x))
(if (!=.f64 (fma.f64 x x (.f64 (.f64 (pow.f64 x 3) -1/3) (-.f64 (.f64 (pow.f64 x 3) -1/3) x))) 0) (/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) -1/27 (pow.f64 x 3)) (fma.f64 x x (.f64 (.f64 (pow.f64 x 3) -1/3) (-.f64 (.f64 (pow.f64 x 3) -1/3) x)))) (fma.f64 -1/3 (pow.f64 x 3) x))
(if (!=.f64 (fma.f64 x x (.f64 (.f64 1/3 (pow.f64 x 3)) (fma.f64 1/3 (pow.f64 x 3) x))) 0) (/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) -1/27 (pow.f64 x 3)) (fma.f64 x x (.f64 (.f64 1/3 (pow.f64 x 3)) (fma.f64 1/3 (pow.f64 x 3) x)))) (fma.f64 -1/3 (pow.f64 x 3) x))
(if (!=.f64 x 0) (/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) -1/27 (pow.f64 x 3)) (fma.f64 x x (.f64 (.f64 (pow.f64 x 3) -1/3) (-.f64 (*.f64 (pow.f64 x 3) -1/3) x)))) (fma.f64 -1/3 (pow.f64 x 3) x))
(if (!=.f64 x 0) (/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) -1/27 (pow.f64 x 3)) (fma.f64 x x (.f64 (.f64 1/3 (pow.f64 x 3)) (fma.f64 1/3 (pow.f64 x 3) x)))) (fma.f64 -1/3 (pow.f64 x 3) x))
(if (!=.f64 (-.f64 (.f64 (pow.f64 x 3) -1/3) x) 0) (/.f64 (fma.f64 x x (.f64 -1/9 (pow.f64 (pow.f64 x 3) 2))) (-.f64 x (*.f64 (pow.f64 x 3) -1/3))) (fma.f64 -1/3 (pow.f64 x 3) x))
(if (!=.f64 (-.f64 (.f64 -1/3 (pow.f64 x 3)) x) 0) (/.f64 (fma.f64 x x (.f64 (pow.f64 (*.f64 x x) 3) -1/9)) (fma.f64 1/3 (pow.f64 x 3) x)) (fma.f64 -1/3 (pow.f64 x 3) x))
(if (!=.f64 (-.f64 x (.f64 (pow.f64 x 3) -1/3)) 0) (/.f64 (fma.f64 x x (.f64 -1/9 (pow.f64 (pow.f64 x 3) 2))) (-.f64 x (*.f64 (pow.f64 x 3) -1/3))) (fma.f64 -1/3 (pow.f64 x 3) x))
(if (!=.f64 (fma.f64 1/3 (pow.f64 x 3) x) 0) (/.f64 (fma.f64 x x (.f64 (pow.f64 (.f64 x x) 3) -1/9)) (fma.f64 1/3 (pow.f64 x 3) x)) (fma.f64 -1/3 (pow.f64 x 3) x))
(if (!=.f64 x 0) (*.f64 x (/.f64 (fma.f64 -1/3 (pow.f64 x 3) x) x)) (fma.f64 -1/3 (pow.f64 x 3) x))
(if (!=.f64 x 0) (/.f64 (*.f64 (fma.f64 -1/3 (pow.f64 x 3) x) x) x) (fma.f64 -1/3 (pow.f64 x 3) x))
(if (!=.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 3) 0) (/.f64 1 (pow.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 3) -1/3)) (fma.f64 -1/3 (pow.f64 x 3) x))
(if (!=.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) 0) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) -3)) (fma.f64 -1/3 (pow.f64 x 3) x))
(if (!=.f64 (neg.f64 x) 0) (/.f64 (-.f64 (pow.f64 (.f64 (pow.f64 x 3) -1/3) 3) (neg.f64 (pow.f64 x 3))) (fma.f64 x x (.f64 (.f64 (pow.f64 x 3) -1/3) (-.f64 (.f64 (pow.f64 x 3) -1/3) x)))) (fma.f64 -1/3 (pow.f64 x 3) x))
(if (!=.f64 (neg.f64 x) 0) (/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) -1/27 (pow.f64 x 3)) (fma.f64 x x (.f64 (.f64 1/3 (pow.f64 x 3)) (fma.f64 1/3 (pow.f64 x 3) x)))) (fma.f64 -1/3 (pow.f64 x 3) x))
(if (!=.f64 (.f64 (pow.f64 x 3) -1/3) 0) (/.f64 (-.f64 (pow.f64 (.f64 (pow.f64 x 3) -1/3) 3) (neg.f64 (pow.f64 x 3))) (fma.f64 x x (.f64 (.f64 (pow.f64 x 3) -1/3) (-.f64 (*.f64 (pow.f64 x 3) -1/3) x)))) (fma.f64 -1/3 (pow.f64 x 3) x))
(if (!=.f64 (.f64 -1/3 (pow.f64 x 3)) 0) (/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) -1/27 (pow.f64 x 3)) (fma.f64 x x (.f64 (*.f64 1/3 (pow.f64 x 3)) (fma.f64 1/3 (pow.f64 x 3) x)))) (fma.f64 -1/3 (pow.f64 x 3) x))
(if (!=.f64 (fma.f64 x x (.f64 (.f64 (pow.f64 x 3) -1/3) (-.f64 (.f64 (pow.f64 x 3) -1/3) x))) 0) (/.f64 (-.f64 (pow.f64 (.f64 (pow.f64 x 3) -1/3) 3) (neg.f64 (pow.f64 x 3))) (fma.f64 x x (.f64 (.f64 (pow.f64 x 3) -1/3) (-.f64 (*.f64 (pow.f64 x 3) -1/3) x)))) (fma.f64 -1/3 (pow.f64 x 3) x))
(if (!=.f64 (fma.f64 x x (.f64 (.f64 1/3 (pow.f64 x 3)) (fma.f64 1/3 (pow.f64 x 3) x))) 0) (/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) -1/27 (pow.f64 x 3)) (fma.f64 x x (.f64 (.f64 1/3 (pow.f64 x 3)) (fma.f64 1/3 (pow.f64 x 3) x)))) (fma.f64 -1/3 (pow.f64 x 3) x))
(+.f64 (*.f64 (pow.f64 x 3) -1/3) x)
(fma.f64 -1/3 (pow.f64 x 3) x)
(+.f64 x (*.f64 (pow.f64 x 3) -1/3))
(fma.f64 -1/3 (pow.f64 x 3) x)
(+.f64 (-.f64 (*.f64 (pow.f64 x 3) -1/3) 0) x)
(fma.f64 -1/3 (pow.f64 x 3) x)

localize15.0ms (0%)

Compiler: Compiled 16 to 12 computations (25% saved)

localize31.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (expm1.f64 (.f64 x -2)) (-.f64 -1 (exp.f64 (.f64 -2 x))))
✓	0.0b	(-.f64 -1 (exp.f64 (*.f64 -2 x)))

Compiler

Compiled 35 to 27 computations (22.9% saved)

series19.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	(/.f64 (expm1.f64 (.f64 x -2)) (-.f64 -1 (exp.f64 (.f64 -2 x))))
1.0ms	x	@	-inf	(/.f64 (expm1.f64 (.f64 x -2)) (-.f64 -1 (exp.f64 (.f64 -2 x))))
0.0ms	x	@	0	(/.f64 (expm1.f64 (.f64 x -2)) (-.f64 -1 (exp.f64 (.f64 -2 x))))
0.0ms	x	@	inf	(-.f64 -1 (exp.f64 (*.f64 -2 x)))
0.0ms	x	@	0	(-.f64 -1 (exp.f64 (*.f64 -2 x)))

Compiler

Compiled 1300 to 1100 computations (15.4% saved)

rewrite1.6s (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

112×	`egg-rr`
104×	`egg-rr`

Counts

2 → 216

Calls

Call 1

Inputs
(-.f64 -1 (exp.f64 (*.f64 -2 x)))
(/.f64 (expm1.f64 (.f64 x -2)) (-.f64 -1 (exp.f64 (.f64 -2 x))))

Outputs
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Outputs

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simplify5.3s (9.2%)

Algorithm

1×

egglog

Counts

240 → 293

Calls

Call 1

Inputs
-2
(-.f64 (*.f64 2 x) 2)
(-.f64 (+.f64 (.f64 2 x) (.f64 -2 (pow.f64 x 2))) 2)
(-.f64 (+.f64 (.f64 4/3 (pow.f64 x 3)) (+.f64 (.f64 2 x) (*.f64 -2 (pow.f64 x 2)))) 2)
(.f64 -1 (+.f64 1 (exp.f64 (.f64 -2 x))))
(.f64 -1 (+.f64 1 (exp.f64 (.f64 -2 x))))
(.f64 -1 (+.f64 1 (exp.f64 (.f64 -2 x))))
(.f64 -1 (+.f64 1 (exp.f64 (.f64 -2 x))))
(.f64 -1 (+.f64 1 (exp.f64 (.f64 -2 x))))
(.f64 -1 (+.f64 1 (exp.f64 (.f64 -2 x))))
(.f64 -1 (+.f64 1 (exp.f64 (.f64 -2 x))))
(.f64 -1 (+.f64 1 (exp.f64 (.f64 -2 x))))
x
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 2/15 (pow.f64 x 5)) x))
(+.f64 (.f64 -17/315 (pow.f64 x 7)) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(.f64 -1 (/.f64 (-.f64 (exp.f64 (.f64 -2 x)) 1) (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(.f64 -1 (/.f64 (-.f64 (exp.f64 (.f64 -2 x)) 1) (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(.f64 -1 (/.f64 (-.f64 (exp.f64 (.f64 -2 x)) 1) (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(.f64 -1 (/.f64 (-.f64 (exp.f64 (.f64 -2 x)) 1) (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(.f64 -1 (/.f64 (-.f64 (exp.f64 (.f64 -2 x)) 1) (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(.f64 -1 (/.f64 (-.f64 (exp.f64 (.f64 -2 x)) 1) (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(.f64 -1 (/.f64 (-.f64 (exp.f64 (.f64 -2 x)) 1) (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(.f64 -1 (/.f64 (-.f64 (exp.f64 (.f64 -2 x)) 1) (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(*.f64 (-.f64 (+.f64 1 (cbrt.f64 (pow.f64 (exp.f64 x) -4))) (cbrt.f64 (pow.f64 (exp.f64 -2) x))) (-.f64 -1 (cbrt.f64 (pow.f64 (exp.f64 -2) x))))
(.f64 (-.f64 -1 (pow.f64 (exp.f64 (neg.f64 x)) 6)) (/.f64 1 (-.f64 (pow.f64 (exp.f64 x) -4) (expm1.f64 (.f64 -2 x)))))
(*.f64 (pow.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) 2/3) (cbrt.f64 (-.f64 -1 (pow.f64 (exp.f64 -2) x))))
(*.f64 (cbrt.f64 (-.f64 -1 (pow.f64 (exp.f64 -2) x))) (pow.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) 2/3))
(.f64 (/.f64 1 (-.f64 (pow.f64 (exp.f64 x) -4) (expm1.f64 (.f64 -2 x)))) (-.f64 -1 (pow.f64 (exp.f64 (neg.f64 x)) 6)))
(.f64 (+.f64 0 (+.f64 (pow.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) 2/3) (.f64 0 (cbrt.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))))) (cbrt.f64 (-.f64 -1 (pow.f64 (exp.f64 -2) x))))
(.f64 (+.f64 (pow.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) 2/3) (+.f64 0 (.f64 (cbrt.f64 (-.f64 -1 (pow.f64 (exp.f64 -2) x))) 0))) (-.f64 (cbrt.f64 (-.f64 -1 (pow.f64 (exp.f64 -2) x))) 0))
(.f64 (+.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -4)) (+.f64 1 (.f64 (neg.f64 (cbrt.f64 (pow.f64 (exp.f64 -2) x))) 1))) (-.f64 (neg.f64 (cbrt.f64 (pow.f64 (exp.f64 -2) x))) 1))
(*.f64 (+.f64 0 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) 2/3) 0)) (+.f64 0 (cbrt.f64 (-.f64 -1 (pow.f64 (exp.f64 -2) x)))))
(.f64 (+.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -4)) (-.f64 1 (.f64 (neg.f64 (cbrt.f64 (pow.f64 (exp.f64 -2) x))) -1))) (+.f64 (neg.f64 (cbrt.f64 (pow.f64 (exp.f64 -2) x))) -1))
(*.f64 (+.f64 0 (hypot.f64 1 (exp.f64 (neg.f64 x)))) (-.f64 0 (hypot.f64 1 (exp.f64 (neg.f64 x)))))
(*.f64 1 (-.f64 -1 (pow.f64 (exp.f64 -2) x)))
(.f64 (+.f64 1 (pow.f64 (exp.f64 (neg.f64 x)) 6)) (/.f64 -1 (-.f64 (pow.f64 (exp.f64 x) -4) (expm1.f64 (.f64 -2 x)))))
(*.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) -1)
(*.f64 -1 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(*.f64 (-.f64 -1 (pow.f64 (exp.f64 -2) x)) 1)
(*.f64 (cbrt.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))) (neg.f64 (pow.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) 2/3)))
(-.f64 (/.f64 -1 (-.f64 (pow.f64 (exp.f64 x) -4) (expm1.f64 (.f64 -2 x)))) (/.f64 (pow.f64 (exp.f64 (neg.f64 x)) 6) (-.f64 (pow.f64 (exp.f64 x) -4) (expm1.f64 (.f64 -2 x)))))
(-.f64 1 (+.f64 1 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))))
(-.f64 (/.f64 -1 (-.f64 (pow.f64 (exp.f64 x) -4) (expm1.f64 (.f64 -2 x)))) (+.f64 (/.f64 (pow.f64 (exp.f64 (neg.f64 x)) 6) (-.f64 (pow.f64 (exp.f64 x) -4) (expm1.f64 (.f64 -2 x)))) 0))
(-.f64 1 (-.f64 1 (-.f64 -1 (pow.f64 (exp.f64 -2) x))))
(-.f64 (+.f64 0 (/.f64 -1 (-.f64 (pow.f64 (exp.f64 x) -4) (expm1.f64 (.f64 -2 x))))) (/.f64 (pow.f64 (exp.f64 (neg.f64 x)) 6) (-.f64 (pow.f64 (exp.f64 x) -4) (expm1.f64 (.f64 -2 x)))))
(-.f64 -1 (pow.f64 (exp.f64 -2) x))
(-.f64 (neg.f64 (pow.f64 (exp.f64 -2) x)) 1)
(-.f64 0 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(-.f64 (-.f64 -1 (pow.f64 (exp.f64 -2) x)) 0)
(-.f64 3 (+.f64 3 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))))
(-.f64 3 (-.f64 3 (-.f64 -1 (pow.f64 (exp.f64 -2) x))))
(/.f64 (.f64 (cbrt.f64 (-.f64 -1 (pow.f64 (exp.f64 (neg.f64 x)) 6))) (pow.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) 2/3)) (cbrt.f64 (-.f64 (pow.f64 (exp.f64 x) -4) (expm1.f64 (.f64 -2 x)))))
(/.f64 (.f64 (pow.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) 2/3) (cbrt.f64 (-.f64 -1 (pow.f64 (exp.f64 (neg.f64 x)) 6)))) (cbrt.f64 (-.f64 (pow.f64 (exp.f64 x) -4) (expm1.f64 (.f64 -2 x)))))
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(if (!=.f64 (+.f64 (pow.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) -2) (-.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 -2) x) (-.f64 -1 (pow.f64 (exp.f64 -2) x))) 2) (.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))) (/.f64 (pow.f64 (exp.f64 -2) x) (-.f64 -1 (pow.f64 (exp.f64 -2) x)))))) 0) (/.f64 (+.f64 (pow.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) -3) (pow.f64 (/.f64 (pow.f64 (exp.f64 -2) x) (-.f64 -1 (pow.f64 (exp.f64 -2) x))) 3)) (+.f64 (pow.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) -2) (-.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 -2) x) (-.f64 -1 (pow.f64 (exp.f64 -2) x))) 2) (.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))) (/.f64 (pow.f64 (exp.f64 -2) x) (-.f64 -1 (pow.f64 (exp.f64 -2) x))))))) (/.f64 (expm1.f64 (*.f64 -2 x)) (-.f64 -1 (pow.f64 (exp.f64 -2) x))))
(if (!=.f64 (+.f64 (.f64 (.f64 (neg.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))) (pow.f64 (exp.f64 -2) x)) (.f64 (neg.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))) (pow.f64 (exp.f64 -2) x))) (-.f64 (.f64 (.f64 (neg.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))) -1) (.f64 (neg.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))) -1)) (.f64 (.f64 (neg.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))) (pow.f64 (exp.f64 -2) x)) (.f64 (neg.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))) -1)))) 0) (/.f64 (+.f64 (pow.f64 (.f64 (neg.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))) (pow.f64 (exp.f64 -2) x)) 3) (pow.f64 (.f64 (neg.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))) -1) 3)) (+.f64 (.f64 (.f64 (neg.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))) (pow.f64 (exp.f64 -2) x)) (.f64 (neg.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))) (pow.f64 (exp.f64 -2) x))) (-.f64 (.f64 (.f64 (neg.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))) -1) (.f64 (neg.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))) -1)) (.f64 (.f64 (neg.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))) (pow.f64 (exp.f64 -2) x)) (.f64 (neg.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))) -1))))) (/.f64 (expm1.f64 (*.f64 -2 x)) (-.f64 -1 (pow.f64 (exp.f64 -2) x))))
(if (!=.f64 (+.f64 0 (+.f64 (pow.f64 (/.f64 (expm1.f64 (.f64 -2 x)) (exp.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 2) (.f64 0 (/.f64 (expm1.f64 (.f64 -2 x)) (exp.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))))) 0) (/.f64 (pow.f64 (/.f64 (expm1.f64 (.f64 -2 x)) (-.f64 -1 (pow.f64 (exp.f64 -2) x))) 3) (+.f64 0 (+.f64 (pow.f64 (/.f64 (expm1.f64 (.f64 -2 x)) (exp.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 2) (.f64 0 (/.f64 (expm1.f64 (.f64 -2 x)) (exp.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))))))) (/.f64 (expm1.f64 (.f64 -2 x)) (-.f64 -1 (pow.f64 (exp.f64 -2) x))))
(if (!=.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 0) (/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 -2) x) (-.f64 -1 (pow.f64 (exp.f64 -2) x))) 3) (pow.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) -3)) (+.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 -2) x) (-.f64 -1 (pow.f64 (exp.f64 -2) x))) 2) (-.f64 (pow.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) -2) (.f64 (/.f64 (pow.f64 (exp.f64 -2) x) (-.f64 -1 (pow.f64 (exp.f64 -2) x))) (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))))))) (/.f64 (expm1.f64 (.f64 -2 x)) (-.f64 -1 (pow.f64 (exp.f64 -2) x))))
(if (!=.f64 (.f64 (neg.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))) (pow.f64 (exp.f64 -2) x)) 0) (/.f64 (+.f64 (pow.f64 (.f64 (neg.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))) -1) 3) (pow.f64 (.f64 (neg.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))) (pow.f64 (exp.f64 -2) x)) 3)) (+.f64 (.f64 (.f64 (neg.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))) -1) (.f64 (neg.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))) -1)) (-.f64 (.f64 (.f64 (neg.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))) (pow.f64 (exp.f64 -2) x)) (.f64 (neg.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))) (pow.f64 (exp.f64 -2) x))) (.f64 (.f64 (neg.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))) -1) (.f64 (neg.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))) (pow.f64 (exp.f64 -2) x)))))) (/.f64 (expm1.f64 (*.f64 -2 x)) (-.f64 -1 (pow.f64 (exp.f64 -2) x))))
(if (!=.f64 (/.f64 (pow.f64 (exp.f64 -2) x) (-.f64 -1 (pow.f64 (exp.f64 -2) x))) 0) (/.f64 (+.f64 (pow.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) -3) (pow.f64 (/.f64 (pow.f64 (exp.f64 -2) x) (-.f64 -1 (pow.f64 (exp.f64 -2) x))) 3)) (+.f64 (pow.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) -2) (-.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 -2) x) (-.f64 -1 (pow.f64 (exp.f64 -2) x))) 2) (.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))) (/.f64 (pow.f64 (exp.f64 -2) x) (-.f64 -1 (pow.f64 (exp.f64 -2) x))))))) (/.f64 (expm1.f64 (.f64 -2 x)) (-.f64 -1 (pow.f64 (exp.f64 -2) x))))
(if (!=.f64 (.f64 (neg.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))) -1) 0) (/.f64 (+.f64 (pow.f64 (.f64 (neg.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))) (pow.f64 (exp.f64 -2) x)) 3) (pow.f64 (.f64 (neg.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))) -1) 3)) (+.f64 (.f64 (.f64 (neg.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))) (pow.f64 (exp.f64 -2) x)) (.f64 (neg.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))) (pow.f64 (exp.f64 -2) x))) (-.f64 (.f64 (.f64 (neg.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))) -1) (.f64 (neg.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))) -1)) (.f64 (.f64 (neg.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))) (pow.f64 (exp.f64 -2) x)) (.f64 (neg.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))) -1))))) (/.f64 (expm1.f64 (*.f64 -2 x)) (-.f64 -1 (pow.f64 (exp.f64 -2) x))))
(if (!=.f64 0 0) (/.f64 (pow.f64 (/.f64 (expm1.f64 (.f64 -2 x)) (-.f64 -1 (pow.f64 (exp.f64 -2) x))) 3) (+.f64 0 (+.f64 (pow.f64 (/.f64 (expm1.f64 (.f64 -2 x)) (exp.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 2) (.f64 0 (/.f64 (expm1.f64 (.f64 -2 x)) (exp.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))))))) (/.f64 (expm1.f64 (*.f64 -2 x)) (-.f64 -1 (pow.f64 (exp.f64 -2) x))))
(+.f64 (.f64 (neg.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))) (pow.f64 (exp.f64 -2) x)) (.f64 (neg.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))) -1))
(+.f64 (.f64 (neg.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))) -1) (.f64 (neg.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))) (pow.f64 (exp.f64 -2) x)))
(+.f64 (/.f64 (pow.f64 (exp.f64 -2) x) (-.f64 -1 (pow.f64 (exp.f64 -2) x))) (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))))
(+.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))) (/.f64 (pow.f64 (exp.f64 -2) x) (-.f64 -1 (pow.f64 (exp.f64 -2) x))))
(+.f64 (-.f64 0 (exp.f64 (-.f64 (*.f64 -2 x) (log1p.f64 (pow.f64 (exp.f64 -2) x))))) (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))))
(+.f64 0 (/.f64 (expm1.f64 (*.f64 -2 x)) (-.f64 -1 (pow.f64 (exp.f64 -2) x))))

Outputs
-2
(-.f64 (*.f64 2 x) 2)
(fma.f64 2 x -2)
(-.f64 (+.f64 (.f64 2 x) (.f64 -2 (pow.f64 x 2))) 2)
(+.f64 (*.f64 -2 (pow.f64 x 2)) (fma.f64 2 x -2))
(-.f64 (+.f64 (.f64 4/3 (pow.f64 x 3)) (+.f64 (.f64 2 x) (*.f64 -2 (pow.f64 x 2)))) 2)
(-.f64 (fma.f64 4/3 (pow.f64 x 3) (fma.f64 2 x (*.f64 -2 (pow.f64 x 2)))) 2)
(.f64 -1 (+.f64 1 (exp.f64 (.f64 -2 x))))
(-.f64 -1 (pow.f64 (exp.f64 -2) x))
(.f64 -1 (+.f64 1 (exp.f64 (.f64 -2 x))))
(-.f64 -1 (pow.f64 (exp.f64 -2) x))
(.f64 -1 (+.f64 1 (exp.f64 (.f64 -2 x))))
(-.f64 -1 (pow.f64 (exp.f64 -2) x))
(.f64 -1 (+.f64 1 (exp.f64 (.f64 -2 x))))
(-.f64 -1 (pow.f64 (exp.f64 -2) x))
(.f64 -1 (+.f64 1 (exp.f64 (.f64 -2 x))))
(-.f64 -1 (pow.f64 (exp.f64 -2) x))
(.f64 -1 (+.f64 1 (exp.f64 (.f64 -2 x))))
(-.f64 -1 (pow.f64 (exp.f64 -2) x))
(.f64 -1 (+.f64 1 (exp.f64 (.f64 -2 x))))
(-.f64 -1 (pow.f64 (exp.f64 -2) x))
(.f64 -1 (+.f64 1 (exp.f64 (.f64 -2 x))))
(-.f64 -1 (pow.f64 (exp.f64 -2) x))
x
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(fma.f64 -1/3 (pow.f64 x 3) x)
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 2/15 (pow.f64 x 5)) x))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))
(+.f64 (.f64 -17/315 (pow.f64 x 7)) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(fma.f64 -17/315 (pow.f64 x 7) (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)))
(.f64 -1 (/.f64 (-.f64 (exp.f64 (.f64 -2 x)) 1) (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(/.f64 (expm1.f64 (*.f64 -2 x)) (-.f64 -1 (pow.f64 (exp.f64 -2) x)))
(.f64 -1 (/.f64 (-.f64 (exp.f64 (.f64 -2 x)) 1) (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(/.f64 (expm1.f64 (*.f64 -2 x)) (-.f64 -1 (pow.f64 (exp.f64 -2) x)))
(.f64 -1 (/.f64 (-.f64 (exp.f64 (.f64 -2 x)) 1) (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(/.f64 (expm1.f64 (*.f64 -2 x)) (-.f64 -1 (pow.f64 (exp.f64 -2) x)))
(.f64 -1 (/.f64 (-.f64 (exp.f64 (.f64 -2 x)) 1) (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(/.f64 (expm1.f64 (*.f64 -2 x)) (-.f64 -1 (pow.f64 (exp.f64 -2) x)))
(.f64 -1 (/.f64 (-.f64 (exp.f64 (.f64 -2 x)) 1) (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(/.f64 (expm1.f64 (*.f64 -2 x)) (-.f64 -1 (pow.f64 (exp.f64 -2) x)))
(.f64 -1 (/.f64 (-.f64 (exp.f64 (.f64 -2 x)) 1) (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(/.f64 (expm1.f64 (*.f64 -2 x)) (-.f64 -1 (pow.f64 (exp.f64 -2) x)))
(.f64 -1 (/.f64 (-.f64 (exp.f64 (.f64 -2 x)) 1) (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(/.f64 (expm1.f64 (*.f64 -2 x)) (-.f64 -1 (pow.f64 (exp.f64 -2) x)))
(.f64 -1 (/.f64 (-.f64 (exp.f64 (.f64 -2 x)) 1) (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(/.f64 (expm1.f64 (*.f64 -2 x)) (-.f64 -1 (pow.f64 (exp.f64 -2) x)))
(*.f64 (-.f64 (+.f64 1 (cbrt.f64 (pow.f64 (exp.f64 x) -4))) (cbrt.f64 (pow.f64 (exp.f64 -2) x))) (-.f64 -1 (cbrt.f64 (pow.f64 (exp.f64 -2) x))))
(*.f64 (-.f64 -1 (cbrt.f64 (pow.f64 (exp.f64 -2) x))) (-.f64 1 (-.f64 (cbrt.f64 (pow.f64 (exp.f64 -2) x)) (cbrt.f64 (pow.f64 (exp.f64 -4) x)))))
(.f64 (-.f64 -1 (pow.f64 (exp.f64 (neg.f64 x)) 6)) (/.f64 1 (-.f64 (pow.f64 (exp.f64 x) -4) (expm1.f64 (.f64 -2 x)))))
(/.f64 (-.f64 -1 (exp.f64 (neg.f64 (.f64 x 6)))) (-.f64 (pow.f64 (exp.f64 -4) x) (expm1.f64 (.f64 -2 x))))
(*.f64 (pow.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) 2/3) (cbrt.f64 (-.f64 -1 (pow.f64 (exp.f64 -2) x))))
(.f64 (exp.f64 (.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) 2/3)) (cbrt.f64 (-.f64 -1 (pow.f64 (exp.f64 -2) x))))
(*.f64 (cbrt.f64 (-.f64 -1 (pow.f64 (exp.f64 -2) x))) (pow.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) 2/3))
(.f64 (exp.f64 (.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) 2/3)) (cbrt.f64 (-.f64 -1 (pow.f64 (exp.f64 -2) x))))
(.f64 (/.f64 1 (-.f64 (pow.f64 (exp.f64 x) -4) (expm1.f64 (.f64 -2 x)))) (-.f64 -1 (pow.f64 (exp.f64 (neg.f64 x)) 6)))
(/.f64 (-.f64 -1 (exp.f64 (neg.f64 (.f64 x 6)))) (-.f64 (pow.f64 (exp.f64 -4) x) (expm1.f64 (.f64 -2 x))))
(.f64 (+.f64 0 (+.f64 (pow.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) 2/3) (.f64 0 (cbrt.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))))) (cbrt.f64 (-.f64 -1 (pow.f64 (exp.f64 -2) x))))
(.f64 (exp.f64 (.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) 2/3)) (cbrt.f64 (-.f64 -1 (pow.f64 (exp.f64 -2) x))))
(.f64 (+.f64 (pow.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) 2/3) (+.f64 0 (.f64 (cbrt.f64 (-.f64 -1 (pow.f64 (exp.f64 -2) x))) 0))) (-.f64 (cbrt.f64 (-.f64 -1 (pow.f64 (exp.f64 -2) x))) 0))
(.f64 (exp.f64 (.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) 2/3)) (cbrt.f64 (-.f64 -1 (pow.f64 (exp.f64 -2) x))))
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(if (!=.f64 (+.f64 (.f64 (.f64 (neg.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))) -1) (.f64 (neg.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))) -1)) (-.f64 (.f64 (.f64 (neg.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))) (pow.f64 (exp.f64 -2) x)) (.f64 (neg.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))) (pow.f64 (exp.f64 -2) x))) (.f64 (.f64 (neg.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))) -1) (.f64 (neg.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))) (pow.f64 (exp.f64 -2) x))))) 0) (/.f64 (+.f64 (pow.f64 (.f64 (neg.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))) -1) 3) (pow.f64 (.f64 (neg.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))) (pow.f64 (exp.f64 -2) x)) 3)) (+.f64 (.f64 (.f64 (neg.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))) -1) (.f64 (neg.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))) -1)) (-.f64 (.f64 (.f64 (neg.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))) (pow.f64 (exp.f64 -2) x)) (.f64 (neg.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))) (pow.f64 (exp.f64 -2) x))) (.f64 (.f64 (neg.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))) -1) (.f64 (neg.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))) (pow.f64 (exp.f64 -2) x)))))) (/.f64 (expm1.f64 (*.f64 -2 x)) (-.f64 -1 (pow.f64 (exp.f64 -2) x))))
(if (!=.f64 (+.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))) (pow.f64 (exp.f64 (-.f64 (.f64 -2 x) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 2)) 0) (/.f64 (expm1.f64 (.f64 -2 x)) (-.f64 -1 (pow.f64 (exp.f64 -2) x))) (/.f64 (expm1.f64 (*.f64 -2 x)) (-.f64 -1 (pow.f64 (exp.f64 -2) x))))
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(if (!=.f64 (+.f64 (exp.f64 (-.f64 (.f64 -2 x) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) (exp.f64 (.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) -2))) 0) (/.f64 (.f64 (neg.f64 (exp.f64 (.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) -3))) (expm1.f64 (.f64 -6 x))) (+.f64 (exp.f64 (-.f64 (.f64 -2 x) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) (exp.f64 (.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) -2)))) (/.f64 (expm1.f64 (.f64 -2 x)) (-.f64 -1 (pow.f64 (exp.f64 -2) x))))
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(if (!=.f64 (+.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))) (pow.f64 (exp.f64 (-.f64 (.f64 -2 x) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 2)) 0) (/.f64 (expm1.f64 (.f64 -2 x)) (-.f64 -1 (pow.f64 (exp.f64 -2) x))) (/.f64 (expm1.f64 (*.f64 -2 x)) (-.f64 -1 (pow.f64 (exp.f64 -2) x))))
(if (!=.f64 (+.f64 0 (+.f64 (pow.f64 (/.f64 (expm1.f64 (.f64 -2 x)) (exp.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 2) (.f64 0 (/.f64 (expm1.f64 (.f64 -2 x)) (exp.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))))) 0) (/.f64 (pow.f64 (/.f64 (expm1.f64 (.f64 -2 x)) (-.f64 -1 (pow.f64 (exp.f64 -2) x))) 3) (+.f64 0 (+.f64 (pow.f64 (/.f64 (expm1.f64 (.f64 -2 x)) (exp.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 2) (.f64 0 (/.f64 (expm1.f64 (.f64 -2 x)) (exp.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))))))) (/.f64 (expm1.f64 (.f64 -2 x)) (-.f64 -1 (pow.f64 (exp.f64 -2) x))))
(if (!=.f64 (pow.f64 (/.f64 (expm1.f64 (.f64 -2 x)) (exp.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 2) 0) (/.f64 (pow.f64 (/.f64 (expm1.f64 (.f64 -2 x)) (exp.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 2) (/.f64 (expm1.f64 (.f64 -2 x)) (-.f64 -1 (pow.f64 (exp.f64 -2) x)))) (/.f64 (expm1.f64 (.f64 -2 x)) (-.f64 -1 (pow.f64 (exp.f64 -2) x))))
(if (!=.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 0) (/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 -2) x) (-.f64 -1 (pow.f64 (exp.f64 -2) x))) 3) (pow.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) -3)) (+.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 -2) x) (-.f64 -1 (pow.f64 (exp.f64 -2) x))) 2) (-.f64 (pow.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) -2) (.f64 (/.f64 (pow.f64 (exp.f64 -2) x) (-.f64 -1 (pow.f64 (exp.f64 -2) x))) (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))))))) (/.f64 (expm1.f64 (.f64 -2 x)) (-.f64 -1 (pow.f64 (exp.f64 -2) x))))
(if (!=.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 0) (/.f64 (.f64 (neg.f64 (exp.f64 (.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) -3))) (expm1.f64 (.f64 -6 x))) (+.f64 (exp.f64 (-.f64 (.f64 -2 x) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) (exp.f64 (.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) -2)))) (/.f64 (expm1.f64 (.f64 -2 x)) (-.f64 -1 (pow.f64 (exp.f64 -2) x))))
(if (!=.f64 (.f64 (neg.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))) (pow.f64 (exp.f64 -2) x)) 0) (/.f64 (+.f64 (pow.f64 (.f64 (neg.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))) -1) 3) (pow.f64 (.f64 (neg.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))) (pow.f64 (exp.f64 -2) x)) 3)) (+.f64 (.f64 (.f64 (neg.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))) -1) (.f64 (neg.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))) -1)) (-.f64 (.f64 (.f64 (neg.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))) (pow.f64 (exp.f64 -2) x)) (.f64 (neg.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))) (pow.f64 (exp.f64 -2) x))) (.f64 (.f64 (neg.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))) -1) (.f64 (neg.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))) (pow.f64 (exp.f64 -2) x)))))) (/.f64 (expm1.f64 (*.f64 -2 x)) (-.f64 -1 (pow.f64 (exp.f64 -2) x))))
(if (!=.f64 (/.f64 -1 (-.f64 (pow.f64 (pow.f64 (exp.f64 -2) x) -1) -1)) 0) (/.f64 (expm1.f64 (.f64 -2 x)) (-.f64 -1 (pow.f64 (exp.f64 -2) x))) (/.f64 (expm1.f64 (.f64 -2 x)) (-.f64 -1 (pow.f64 (exp.f64 -2) x))))
(if (!=.f64 (/.f64 (pow.f64 (exp.f64 -2) x) (-.f64 -1 (pow.f64 (exp.f64 -2) x))) 0) (/.f64 (+.f64 (pow.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) -3) (pow.f64 (/.f64 (pow.f64 (exp.f64 -2) x) (-.f64 -1 (pow.f64 (exp.f64 -2) x))) 3)) (+.f64 (pow.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) -2) (-.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 -2) x) (-.f64 -1 (pow.f64 (exp.f64 -2) x))) 2) (.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))) (/.f64 (pow.f64 (exp.f64 -2) x) (-.f64 -1 (pow.f64 (exp.f64 -2) x))))))) (/.f64 (expm1.f64 (.f64 -2 x)) (-.f64 -1 (pow.f64 (exp.f64 -2) x))))
(if (!=.f64 (/.f64 -1 (-.f64 (pow.f64 (pow.f64 (exp.f64 -2) x) -1) -1)) 0) (/.f64 (.f64 (neg.f64 (exp.f64 (.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) -3))) (expm1.f64 (.f64 -6 x))) (+.f64 (exp.f64 (-.f64 (.f64 -2 x) (log1p.f64 (pow.f64 (exp.f64 -2) x)))) (exp.f64 (.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) -2)))) (/.f64 (expm1.f64 (.f64 -2 x)) (-.f64 -1 (pow.f64 (exp.f64 -2) x))))
(if (!=.f64 (.f64 (neg.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))) -1) 0) (/.f64 (+.f64 (pow.f64 (.f64 (neg.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))) (pow.f64 (exp.f64 -2) x)) 3) (pow.f64 (.f64 (neg.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))) -1) 3)) (+.f64 (.f64 (.f64 (neg.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))) (pow.f64 (exp.f64 -2) x)) (.f64 (neg.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))) (pow.f64 (exp.f64 -2) x))) (-.f64 (.f64 (.f64 (neg.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))) -1) (.f64 (neg.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))) -1)) (.f64 (.f64 (neg.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))) (pow.f64 (exp.f64 -2) x)) (.f64 (neg.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))) -1))))) (/.f64 (expm1.f64 (*.f64 -2 x)) (-.f64 -1 (pow.f64 (exp.f64 -2) x))))
(if (!=.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 0) (/.f64 (expm1.f64 (.f64 -2 x)) (-.f64 -1 (pow.f64 (exp.f64 -2) x))) (/.f64 (expm1.f64 (.f64 -2 x)) (-.f64 -1 (pow.f64 (exp.f64 -2) x))))
(if (!=.f64 0 0) (/.f64 (pow.f64 (/.f64 (expm1.f64 (.f64 -2 x)) (-.f64 -1 (pow.f64 (exp.f64 -2) x))) 3) (+.f64 0 (+.f64 (pow.f64 (/.f64 (expm1.f64 (.f64 -2 x)) (exp.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 2) (.f64 0 (/.f64 (expm1.f64 (.f64 -2 x)) (exp.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))))))) (/.f64 (expm1.f64 (*.f64 -2 x)) (-.f64 -1 (pow.f64 (exp.f64 -2) x))))
(if (!=.f64 0 0) (/.f64 (pow.f64 (/.f64 (expm1.f64 (.f64 -2 x)) (exp.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 2) (/.f64 (expm1.f64 (.f64 -2 x)) (-.f64 -1 (pow.f64 (exp.f64 -2) x)))) (/.f64 (expm1.f64 (*.f64 -2 x)) (-.f64 -1 (pow.f64 (exp.f64 -2) x))))
(+.f64 (.f64 (neg.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))) (pow.f64 (exp.f64 -2) x)) (.f64 (neg.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))) -1))
(/.f64 (expm1.f64 (*.f64 -2 x)) (-.f64 -1 (pow.f64 (exp.f64 -2) x)))
(+.f64 (.f64 (neg.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))) -1) (.f64 (neg.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))) (pow.f64 (exp.f64 -2) x)))
(/.f64 (expm1.f64 (*.f64 -2 x)) (-.f64 -1 (pow.f64 (exp.f64 -2) x)))
(+.f64 (/.f64 (pow.f64 (exp.f64 -2) x) (-.f64 -1 (pow.f64 (exp.f64 -2) x))) (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))))
(/.f64 (expm1.f64 (*.f64 -2 x)) (-.f64 -1 (pow.f64 (exp.f64 -2) x)))
(+.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))) (/.f64 (pow.f64 (exp.f64 -2) x) (-.f64 -1 (pow.f64 (exp.f64 -2) x))))
(/.f64 (expm1.f64 (*.f64 -2 x)) (-.f64 -1 (pow.f64 (exp.f64 -2) x)))
(+.f64 (-.f64 0 (exp.f64 (-.f64 (*.f64 -2 x) (log1p.f64 (pow.f64 (exp.f64 -2) x))))) (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))))
(/.f64 (expm1.f64 (*.f64 -2 x)) (-.f64 -1 (pow.f64 (exp.f64 -2) x)))
(+.f64 0 (/.f64 (expm1.f64 (*.f64 -2 x)) (-.f64 -1 (pow.f64 (exp.f64 -2) x))))
(/.f64 (expm1.f64 (*.f64 -2 x)) (-.f64 -1 (pow.f64 (exp.f64 -2) x)))

localize55.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (expm1.f64 (.f64 x -2)) (-.f64 -1 (exp.f64 (.f64 (*.f64 x (+.f64 -4 -2)) 1/3))))
✓	0.0b	(-.f64 -1 (exp.f64 (.f64 (.f64 x (+.f64 -4 -2)) 1/3)))
✓	0.3b	(.f64 (.f64 x (+.f64 -4 -2)) 1/3)

Compiler

Compiled 61 to 52 computations (14.8% saved)

series31.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
5.0ms	x	@	-inf	(.f64 (.f64 x (+.f64 -4 -2)) 1/3)
1.0ms	x	@	inf	(.f64 (.f64 x (+.f64 -4 -2)) 1/3)
1.0ms	x	@	0	(.f64 (.f64 x (+.f64 -4 -2)) 1/3)
0.0ms	x	@	-inf	(/.f64 (expm1.f64 (.f64 x -2)) (-.f64 -1 (exp.f64 (.f64 (*.f64 x (+.f64 -4 -2)) 1/3))))
0.0ms	x	@	inf	(/.f64 (expm1.f64 (.f64 x -2)) (-.f64 -1 (exp.f64 (.f64 (*.f64 x (+.f64 -4 -2)) 1/3))))

Compiler

Compiled 1480 to 1220 computations (17.6% saved)

rewrite1.9s (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

118×	`egg-rr`
67×	`egg-rr`
66×	`egg-rr`

Counts

3 → 251

Calls

Call 1

Inputs
(.f64 (.f64 x (+.f64 -4 -2)) 1/3)
(-.f64 -1 (exp.f64 (.f64 (.f64 x (+.f64 -4 -2)) 1/3)))
(/.f64 (expm1.f64 (.f64 x -2)) (-.f64 -1 (exp.f64 (.f64 (*.f64 x (+.f64 -4 -2)) 1/3))))

Outputs
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Outputs

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

simplify7.0s (12.1%)

Algorithm

1×

egglog

Counts

287 → 322

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)
-2
(-.f64 (*.f64 2 x) 2)
(-.f64 (+.f64 (.f64 2 x) (.f64 -2 (pow.f64 x 2))) 2)
(-.f64 (+.f64 (.f64 4/3 (pow.f64 x 3)) (+.f64 (.f64 2 x) (*.f64 -2 (pow.f64 x 2)))) 2)
(.f64 -1 (+.f64 1 (exp.f64 (.f64 -2 x))))
(.f64 -1 (+.f64 1 (exp.f64 (.f64 -2 x))))
(.f64 -1 (+.f64 1 (exp.f64 (.f64 -2 x))))
(.f64 -1 (+.f64 1 (exp.f64 (.f64 -2 x))))
(.f64 -1 (+.f64 1 (exp.f64 (.f64 -2 x))))
(.f64 -1 (+.f64 1 (exp.f64 (.f64 -2 x))))
(.f64 -1 (+.f64 1 (exp.f64 (.f64 -2 x))))
(.f64 -1 (+.f64 1 (exp.f64 (.f64 -2 x))))
x
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 2/15 (pow.f64 x 5)) x))
(+.f64 (.f64 -17/315 (pow.f64 x 7)) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(.f64 -1 (/.f64 (-.f64 (exp.f64 (.f64 -2 x)) 1) (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(.f64 -1 (/.f64 (-.f64 (exp.f64 (.f64 -2 x)) 1) (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(.f64 -1 (/.f64 (-.f64 (exp.f64 (.f64 -2 x)) 1) (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(.f64 -1 (/.f64 (-.f64 (exp.f64 (.f64 -2 x)) 1) (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(.f64 -1 (/.f64 (-.f64 (exp.f64 (.f64 -2 x)) 1) (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(.f64 -1 (/.f64 (-.f64 (exp.f64 (.f64 -2 x)) 1) (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(.f64 -1 (/.f64 (-.f64 (exp.f64 (.f64 -2 x)) 1) (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(.f64 -1 (/.f64 (-.f64 (exp.f64 (.f64 -2 x)) 1) (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(.f64 (cbrt.f64 (.f64 -2 x)) (cbrt.f64 (*.f64 4 (pow.f64 x 2))))
(.f64 (cbrt.f64 (.f64 4 (pow.f64 x 2))) (cbrt.f64 (*.f64 -2 x)))
(.f64 (cbrt.f64 1/3) (.f64 (cbrt.f64 1/9) (*.f64 -6 x)))
(.f64 (sqrt.f64 1/3) (.f64 (sqrt.f64 1/3) (*.f64 -6 x)))
(.f64 (cbrt.f64 -2) (.f64 (cbrt.f64 4) x))
(.f64 (cbrt.f64 (.f64 -6 x)) (cbrt.f64 (.f64 (.f64 (pow.f64 x 2) 36) 1/27)))
(.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (pow.f64 x 2)) -2))
(.f64 (.f64 1/3 (cbrt.f64 (.f64 -6 x))) (cbrt.f64 (.f64 (pow.f64 x 2) 36)))
(.f64 (.f64 (*.f64 -6 x) (cbrt.f64 1/3)) (cbrt.f64 1/9))
(.f64 (.f64 (*.f64 -6 x) (sqrt.f64 1/3)) (sqrt.f64 1/3))
(.f64 (.f64 -2 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x 2)))
(.f64 1/3 (.f64 -6 x))
(.f64 -1 (neg.f64 (.f64 -2 x)))
(*.f64 -2 x)
(.f64 (.f64 -6 x) 1/3)
(*.f64 x -2)
(.f64 (cbrt.f64 x) (-.f64 (.f64 (cbrt.f64 (pow.f64 x 2)) -4) (*.f64 (cbrt.f64 (pow.f64 x 2)) -2)))
(.f64 (cbrt.f64 (pow.f64 x 2)) (-.f64 (.f64 -4 (cbrt.f64 x)) (*.f64 -2 (cbrt.f64 x))))
(.f64 1 (.f64 -2 x))
(.f64 -6 (.f64 1/3 x))
(.f64 -6 (.f64 x 1/3))
(.f64 (.f64 -2 x) 1)
(.f64 (.f64 1/3 x) -6)
(.f64 (.f64 x (cbrt.f64 -2)) (cbrt.f64 4))
(-.f64 (.f64 -4 x) (.f64 -2 x))
(-.f64 (-.f64 (.f64 -4 x) (/.f64 (.f64 -4 x) 3)) (.f64 (.f64 -2 x) 1/3))
(-.f64 (-.f64 (.f64 -4 x) (.f64 1/3 (.f64 -4 x))) (.f64 1/3 (*.f64 -2 x)))
(/.f64 (.f64 (.f64 1/3 x) 1) -1/6)
(/.f64 (.f64 (.f64 1/3 x) 72) -12)
(/.f64 (.f64 (.f64 1/3 x) 12) -2)
(/.f64 (.f64 (.f64 1/3 x) -72) 12)
(/.f64 (.f64 (.f64 1/3 x) -2) 1/3)
(/.f64 (.f64 1/3 (.f64 -72 x)) 12)
(/.f64 (.f64 1/3 (.f64 x -72)) 12)
(/.f64 (.f64 1/3 (.f64 12 x)) -2)
(/.f64 (.f64 1/3 (.f64 x 12)) -2)
(/.f64 (*.f64 x -56) 28)
(/.f64 (*.f64 x 4) -2)
(/.f64 (*.f64 x -24) 12)
(/.f64 (*.f64 1/3 x) -1/6)
(/.f64 (*.f64 -2 x) 1)
(/.f64 (*.f64 x 12) -6)
(/.f64 (.f64 (.f64 1/3 x) (cbrt.f64 (/.f64 1728 -2))) (cbrt.f64 4))
(/.f64 (.f64 (.f64 -2 x) -4) -4)
(/.f64 (.f64 (.f64 1/3 x) -12) 2)
(/.f64 (*.f64 -6 x) 3)
(fma.f64 (cbrt.f64 (.f64 -4 x)) (cbrt.f64 (.f64 (pow.f64 x 2) 16)) (neg.f64 (*.f64 -2 x)))
(fma.f64 1 (.f64 -4 x) (neg.f64 (.f64 -2 x)))
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(if (!=.f64 (/.f64 1 (-.f64 -1 (pow.f64 (exp.f64 -2) x))) 0) (/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 -2) x) (-.f64 -1 (pow.f64 (exp.f64 -2) x))) 3) (pow.f64 (/.f64 1 (-.f64 -1 (pow.f64 (exp.f64 -2) x))) 3)) (+.f64 (.f64 (/.f64 (pow.f64 (exp.f64 -2) x) (-.f64 -1 (pow.f64 (exp.f64 -2) x))) (/.f64 (pow.f64 (exp.f64 -2) x) (-.f64 -1 (pow.f64 (exp.f64 -2) x)))) (+.f64 (.f64 (/.f64 1 (-.f64 -1 (pow.f64 (exp.f64 -2) x))) (/.f64 1 (-.f64 -1 (pow.f64 (exp.f64 -2) x)))) (.f64 (/.f64 (pow.f64 (exp.f64 -2) x) (-.f64 -1 (pow.f64 (exp.f64 -2) x))) (/.f64 1 (-.f64 -1 (pow.f64 (exp.f64 -2) x))))))) (/.f64 (expm1.f64 (.f64 -2 x)) (-.f64 -1 (pow.f64 (exp.f64 -2) x))))
(if (!=.f64 (+.f64 (.f64 (/.f64 (pow.f64 (exp.f64 -2) x) (-.f64 -1 (pow.f64 (exp.f64 -2) x))) (/.f64 (pow.f64 (exp.f64 -2) x) (-.f64 -1 (pow.f64 (exp.f64 -2) x)))) (+.f64 (.f64 (/.f64 1 (-.f64 -1 (pow.f64 (exp.f64 -2) x))) (/.f64 1 (-.f64 -1 (pow.f64 (exp.f64 -2) x)))) (.f64 (/.f64 (pow.f64 (exp.f64 -2) x) (-.f64 -1 (pow.f64 (exp.f64 -2) x))) (/.f64 1 (-.f64 -1 (pow.f64 (exp.f64 -2) x)))))) 0) (/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 -2) x) (-.f64 -1 (pow.f64 (exp.f64 -2) x))) 3) (pow.f64 (/.f64 1 (-.f64 -1 (pow.f64 (exp.f64 -2) x))) 3)) (+.f64 (.f64 (/.f64 (pow.f64 (exp.f64 -2) x) (-.f64 -1 (pow.f64 (exp.f64 -2) x))) (/.f64 (pow.f64 (exp.f64 -2) x) (-.f64 -1 (pow.f64 (exp.f64 -2) x)))) (+.f64 (.f64 (/.f64 1 (-.f64 -1 (pow.f64 (exp.f64 -2) x))) (/.f64 1 (-.f64 -1 (pow.f64 (exp.f64 -2) x)))) (.f64 (/.f64 (pow.f64 (exp.f64 -2) x) (-.f64 -1 (pow.f64 (exp.f64 -2) x))) (/.f64 1 (-.f64 -1 (pow.f64 (exp.f64 -2) x))))))) (/.f64 (expm1.f64 (*.f64 -2 x)) (-.f64 -1 (pow.f64 (exp.f64 -2) x))))
(if (!=.f64 (/.f64 (pow.f64 (exp.f64 -2) x) (-.f64 -1 (pow.f64 (exp.f64 -2) x))) 0) (/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 -2) x) (-.f64 -1 (pow.f64 (exp.f64 -2) x))) 3) (pow.f64 (/.f64 1 (-.f64 -1 (pow.f64 (exp.f64 -2) x))) 3)) (+.f64 (.f64 (/.f64 (pow.f64 (exp.f64 -2) x) (-.f64 -1 (pow.f64 (exp.f64 -2) x))) (/.f64 (pow.f64 (exp.f64 -2) x) (-.f64 -1 (pow.f64 (exp.f64 -2) x)))) (+.f64 (.f64 (/.f64 1 (-.f64 -1 (pow.f64 (exp.f64 -2) x))) (/.f64 1 (-.f64 -1 (pow.f64 (exp.f64 -2) x)))) (.f64 (/.f64 (pow.f64 (exp.f64 -2) x) (-.f64 -1 (pow.f64 (exp.f64 -2) x))) (/.f64 1 (-.f64 -1 (pow.f64 (exp.f64 -2) x))))))) (/.f64 (expm1.f64 (.f64 -2 x)) (-.f64 -1 (pow.f64 (exp.f64 -2) x))))
(if (!=.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 -4) x) (neg.f64 (expm1.f64 (.f64 -2 x))))) 0) (.f64 (/.f64 (expm1.f64 (.f64 -2 x)) (+.f64 1 (pow.f64 (exp.f64 -6) x))) (neg.f64 (+.f64 (pow.f64 (exp.f64 -4) x) (neg.f64 (expm1.f64 (.f64 -2 x)))))) (/.f64 (expm1.f64 (*.f64 -2 x)) (-.f64 -1 (pow.f64 (exp.f64 -2) x))))
(+.f64 (/.f64 (pow.f64 (exp.f64 -2) x) (-.f64 -1 (pow.f64 (exp.f64 -2) x))) (/.f64 -1 (-.f64 -1 (pow.f64 (exp.f64 -2) x))))
(+.f64 (/.f64 -1 (-.f64 -1 (pow.f64 (exp.f64 -2) x))) (/.f64 (pow.f64 (exp.f64 -2) x) (-.f64 -1 (pow.f64 (exp.f64 -2) x))))
(+.f64 (.f64 (/.f64 1 (-.f64 -1 (pow.f64 (exp.f64 -2) x))) (pow.f64 (exp.f64 -2) x)) (.f64 (/.f64 1 (-.f64 -1 (pow.f64 (exp.f64 -2) x))) -1))
(+.f64 (.f64 (/.f64 1 (-.f64 -1 (pow.f64 (exp.f64 -2) x))) -1) (.f64 (/.f64 1 (-.f64 -1 (pow.f64 (exp.f64 -2) x))) (pow.f64 (exp.f64 -2) x)))
(+.f64 (/.f64 (pow.f64 (exp.f64 -2) x) (-.f64 -1 (pow.f64 (exp.f64 -2) x))) (*.f64 (cbrt.f64 (/.f64 1 (-.f64 -1 (pow.f64 (exp.f64 -2) x)))) (/.f64 -1 (cbrt.f64 (pow.f64 (-.f64 -1 (pow.f64 (exp.f64 -2) x)) 2)))))
(+.f64 (/.f64 (pow.f64 (exp.f64 -2) x) (-.f64 -1 (pow.f64 (exp.f64 -2) x))) (*.f64 (cbrt.f64 (/.f64 -1 (-.f64 -1 (pow.f64 (exp.f64 -2) x)))) (pow.f64 (cbrt.f64 (/.f64 1 (-.f64 -1 (pow.f64 (exp.f64 -2) x)))) 2)))

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)
-2
(-.f64 (*.f64 2 x) 2)
(fma.f64 2 x -2)
(-.f64 (+.f64 (.f64 2 x) (.f64 -2 (pow.f64 x 2))) 2)
(-.f64 (*.f64 -2 (+.f64 (pow.f64 x 2) (neg.f64 x))) 2)
(-.f64 (+.f64 (.f64 4/3 (pow.f64 x 3)) (+.f64 (.f64 2 x) (*.f64 -2 (pow.f64 x 2)))) 2)
(-.f64 (fma.f64 4/3 (pow.f64 x 3) (*.f64 -2 (+.f64 (pow.f64 x 2) (neg.f64 x)))) 2)
(.f64 -1 (+.f64 1 (exp.f64 (.f64 -2 x))))
(-.f64 -1 (pow.f64 (exp.f64 -2) x))
(.f64 -1 (+.f64 1 (exp.f64 (.f64 -2 x))))
(-.f64 -1 (pow.f64 (exp.f64 -2) x))
(.f64 -1 (+.f64 1 (exp.f64 (.f64 -2 x))))
(-.f64 -1 (pow.f64 (exp.f64 -2) x))
(.f64 -1 (+.f64 1 (exp.f64 (.f64 -2 x))))
(-.f64 -1 (pow.f64 (exp.f64 -2) x))
(.f64 -1 (+.f64 1 (exp.f64 (.f64 -2 x))))
(-.f64 -1 (pow.f64 (exp.f64 -2) x))
(.f64 -1 (+.f64 1 (exp.f64 (.f64 -2 x))))
(-.f64 -1 (pow.f64 (exp.f64 -2) x))
(.f64 -1 (+.f64 1 (exp.f64 (.f64 -2 x))))
(-.f64 -1 (pow.f64 (exp.f64 -2) x))
(.f64 -1 (+.f64 1 (exp.f64 (.f64 -2 x))))
(-.f64 -1 (pow.f64 (exp.f64 -2) x))
x
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(fma.f64 -1/3 (pow.f64 x 3) x)
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 2/15 (pow.f64 x 5)) x))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))
(+.f64 (.f64 -17/315 (pow.f64 x 7)) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(fma.f64 -17/315 (pow.f64 x 7) (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)))
(.f64 -1 (/.f64 (-.f64 (exp.f64 (.f64 -2 x)) 1) (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(/.f64 (expm1.f64 (*.f64 -2 x)) (-.f64 -1 (pow.f64 (exp.f64 -2) x)))
(.f64 -1 (/.f64 (-.f64 (exp.f64 (.f64 -2 x)) 1) (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(/.f64 (expm1.f64 (*.f64 -2 x)) (-.f64 -1 (pow.f64 (exp.f64 -2) x)))
(.f64 -1 (/.f64 (-.f64 (exp.f64 (.f64 -2 x)) 1) (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(/.f64 (expm1.f64 (*.f64 -2 x)) (-.f64 -1 (pow.f64 (exp.f64 -2) x)))
(.f64 -1 (/.f64 (-.f64 (exp.f64 (.f64 -2 x)) 1) (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(/.f64 (expm1.f64 (*.f64 -2 x)) (-.f64 -1 (pow.f64 (exp.f64 -2) x)))
(.f64 -1 (/.f64 (-.f64 (exp.f64 (.f64 -2 x)) 1) (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(/.f64 (expm1.f64 (*.f64 -2 x)) (-.f64 -1 (pow.f64 (exp.f64 -2) x)))
(.f64 -1 (/.f64 (-.f64 (exp.f64 (.f64 -2 x)) 1) (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(/.f64 (expm1.f64 (*.f64 -2 x)) (-.f64 -1 (pow.f64 (exp.f64 -2) x)))
(.f64 -1 (/.f64 (-.f64 (exp.f64 (.f64 -2 x)) 1) (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(/.f64 (expm1.f64 (*.f64 -2 x)) (-.f64 -1 (pow.f64 (exp.f64 -2) x)))
(.f64 -1 (/.f64 (-.f64 (exp.f64 (.f64 -2 x)) 1) (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(/.f64 (expm1.f64 (*.f64 -2 x)) (-.f64 -1 (pow.f64 (exp.f64 -2) x)))
(.f64 (cbrt.f64 (.f64 -2 x)) (cbrt.f64 (*.f64 4 (pow.f64 x 2))))
(*.f64 -2 x)
(.f64 (cbrt.f64 (.f64 4 (pow.f64 x 2))) (cbrt.f64 (*.f64 -2 x)))
(*.f64 -2 x)
(.f64 (cbrt.f64 1/3) (.f64 (cbrt.f64 1/9) (*.f64 -6 x)))
(*.f64 -2 x)
(.f64 (sqrt.f64 1/3) (.f64 (sqrt.f64 1/3) (*.f64 -6 x)))
(*.f64 -2 x)
(.f64 (cbrt.f64 -2) (.f64 (cbrt.f64 4) x))
(.f64 (cbrt.f64 (.f64 -2 4)) x)
(.f64 (cbrt.f64 (.f64 -6 x)) (cbrt.f64 (.f64 (.f64 (pow.f64 x 2) 36) 1/27)))
(cbrt.f64 (.f64 (.f64 (pow.f64 x 2) 4/3) (*.f64 -6 x)))
(.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (pow.f64 x 2)) -2))
(*.f64 -2 x)
(.f64 (.f64 1/3 (cbrt.f64 (.f64 -6 x))) (cbrt.f64 (.f64 (pow.f64 x 2) 36)))
(.f64 1/3 (cbrt.f64 (.f64 (.f64 -6 x) (.f64 (pow.f64 x 2) 36))))
(.f64 (.f64 (*.f64 -6 x) (cbrt.f64 1/3)) (cbrt.f64 1/9))
(*.f64 -2 x)
(.f64 (.f64 (*.f64 -6 x) (sqrt.f64 1/3)) (sqrt.f64 1/3))
(*.f64 -2 x)
(.f64 (.f64 -2 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x 2)))
(*.f64 -2 x)
(.f64 1/3 (.f64 -6 x))
(*.f64 -2 x)
(.f64 -1 (neg.f64 (.f64 -2 x)))
(*.f64 -2 x)
(*.f64 -2 x)
(.f64 (.f64 -6 x) 1/3)
(*.f64 -2 x)
(*.f64 x -2)
(*.f64 -2 x)
(.f64 (cbrt.f64 x) (-.f64 (.f64 (cbrt.f64 (pow.f64 x 2)) -4) (*.f64 (cbrt.f64 (pow.f64 x 2)) -2)))
(*.f64 -2 x)
(.f64 (cbrt.f64 (pow.f64 x 2)) (-.f64 (.f64 -4 (cbrt.f64 x)) (*.f64 -2 (cbrt.f64 x))))
(*.f64 -2 x)
(.f64 1 (.f64 -2 x))
(*.f64 -2 x)
(.f64 -6 (.f64 1/3 x))
(*.f64 -2 x)
(.f64 -6 (.f64 x 1/3))
(*.f64 -2 x)
(.f64 (.f64 -2 x) 1)
(*.f64 -2 x)
(.f64 (.f64 1/3 x) -6)
(*.f64 -2 x)
(.f64 (.f64 x (cbrt.f64 -2)) (cbrt.f64 4))
(.f64 x (cbrt.f64 (.f64 -2 4)))
(-.f64 (.f64 -4 x) (.f64 -2 x))
(*.f64 -2 x)
(-.f64 (-.f64 (.f64 -4 x) (/.f64 (.f64 -4 x) 3)) (.f64 (.f64 -2 x) 1/3))
(*.f64 -2 x)
(-.f64 (-.f64 (.f64 -4 x) (.f64 1/3 (.f64 -4 x))) (.f64 1/3 (*.f64 -2 x)))
(*.f64 -2 x)
(/.f64 (.f64 (.f64 1/3 x) 1) -1/6)
(*.f64 -2 x)
(/.f64 (.f64 (.f64 1/3 x) 72) -12)
(*.f64 -2 x)
(/.f64 (.f64 (.f64 1/3 x) 12) -2)
(*.f64 -2 x)
(/.f64 (.f64 (.f64 1/3 x) -72) 12)
(*.f64 -2 x)
(/.f64 (.f64 (.f64 1/3 x) -2) 1/3)
(*.f64 -2 x)
(/.f64 (.f64 1/3 (.f64 -72 x)) 12)
(*.f64 -2 x)
(/.f64 (.f64 1/3 (.f64 x -72)) 12)
(*.f64 -2 x)
(/.f64 (.f64 1/3 (.f64 12 x)) -2)
(*.f64 -2 x)
(/.f64 (.f64 1/3 (.f64 x 12)) -2)
(*.f64 -2 x)
(/.f64 (*.f64 x -56) 28)
(*.f64 -2 x)
(/.f64 (*.f64 x 4) -2)
(*.f64 -2 x)
(/.f64 (*.f64 x -24) 12)
(*.f64 -2 x)
(/.f64 (*.f64 1/3 x) -1/6)
(*.f64 -2 x)
(/.f64 (*.f64 -2 x) 1)
(*.f64 -2 x)
(/.f64 (*.f64 x 12) -6)
(*.f64 -2 x)
(/.f64 (.f64 (.f64 1/3 x) (cbrt.f64 (/.f64 1728 -2))) (cbrt.f64 4))
(/.f64 (.f64 1/3 (.f64 x (cbrt.f64 -864))) (cbrt.f64 4))
(/.f64 (.f64 (.f64 -2 x) -4) -4)
(*.f64 -2 x)
(/.f64 (.f64 (.f64 1/3 x) -12) 2)
(*.f64 -2 x)
(/.f64 (*.f64 -6 x) 3)
(*.f64 -2 x)
(fma.f64 (cbrt.f64 (.f64 -4 x)) (cbrt.f64 (.f64 (pow.f64 x 2) 16)) (neg.f64 (*.f64 -2 x)))
(-.f64 (cbrt.f64 (.f64 -64 (pow.f64 x 3))) (.f64 -2 x))
(fma.f64 1 (.f64 -4 x) (neg.f64 (.f64 -2 x)))
(*.f64 -2 x)
(fma.f64 (.f64 -4 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x 2)) (neg.f64 (.f64 -2 x)))
(fma.f64 (.f64 -4 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x 2)) (.f64 x 2))
(fma.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (pow.f64 x 2)) -4) (neg.f64 (.f64 -2 x)))
(fma.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (pow.f64 x 2)) -4) (.f64 x 2))
(fma.f64 (cbrt.f64 -4) (.f64 (cbrt.f64 16) x) (neg.f64 (.f64 -2 x)))
(fma.f64 (cbrt.f64 -4) (.f64 (cbrt.f64 16) x) (.f64 x 2))
(fma.f64 (.f64 x (cbrt.f64 -4)) (cbrt.f64 16) (neg.f64 (.f64 -2 x)))
(fma.f64 (.f64 x (cbrt.f64 -4)) (cbrt.f64 16) (.f64 x 2))
(fma.f64 1/3 (.f64 -4 x) (.f64 1/3 (*.f64 -2 x)))
(*.f64 -2 x)
(fma.f64 (.f64 -4 x) 1/3 (.f64 (*.f64 -2 x) 1/3))
(*.f64 -2 x)
(fma.f64 -4 x (neg.f64 (*.f64 -2 x)))
(*.f64 -2 x)
(fma.f64 x -4 (neg.f64 (*.f64 -2 x)))
(*.f64 -2 x)
(pow.f64 (*.f64 -8 (pow.f64 x 3)) 1/3)
(*.f64 (cbrt.f64 -8) x)
(pow.f64 (*.f64 -2 x) 1)
(*.f64 -2 x)
(pow.f64 (cbrt.f64 (*.f64 -2 x)) 3)
(*.f64 -2 x)
(cbrt.f64 (*.f64 -8 (pow.f64 x 3)))
(*.f64 (cbrt.f64 -8) x)
(neg.f64 (-.f64 (.f64 -2 x) (.f64 -4 x)))
(*.f64 -2 x)
(neg.f64 (*.f64 x 2))
(*.f64 -2 x)
(neg.f64 (.f64 (.f64 -2 x) -1))
(*.f64 -2 x)
(neg.f64 (*.f64 2 x))
(*.f64 -2 x)
(neg.f64 (neg.f64 (*.f64 -2 x)))
(*.f64 -2 x)
(neg.f64 (.f64 1 (neg.f64 (.f64 -2 x))))
(*.f64 -2 x)
(if (!=.f64 (.f64 -2 x) 0) (/.f64 1 (pow.f64 (.f64 -2 x) -1)) (*.f64 -2 x))
(if (!=.f64 (.f64 -2 x) 0) (/.f64 1 (.f64 (pow.f64 x -1) -1/2)) (*.f64 -2 x))
(if (!=.f64 (/.f64 (.f64 -4 x) 3) 0) (/.f64 (+.f64 (pow.f64 (/.f64 (.f64 -4 x) 3) 3) (pow.f64 (.f64 (.f64 -2 x) 1/3) 3)) (+.f64 (.f64 (/.f64 (.f64 -4 x) 3) (/.f64 (.f64 -4 x) 3)) (-.f64 (.f64 (.f64 (.f64 -2 x) 1/3) (.f64 (.f64 -2 x) 1/3)) (.f64 (/.f64 (.f64 -4 x) 3) (.f64 (.f64 -2 x) 1/3))))) (*.f64 -2 x))
(if (!=.f64 (.f64 -4/3 x) 0) (/.f64 (.f64 (.f64 (.f64 -2 x) (.f64 -2/3 x)) (.f64 -2 x)) (.f64 (.f64 -2 x) (.f64 -2/3 x))) (.f64 -2 x))
(if (!=.f64 (.f64 1/3 (.f64 -4 x)) 0) (/.f64 (+.f64 (pow.f64 (.f64 1/3 (.f64 -4 x)) 3) (pow.f64 (.f64 1/3 (.f64 -2 x)) 3)) (+.f64 (.f64 (.f64 1/3 (.f64 -4 x)) (.f64 1/3 (.f64 -4 x))) (-.f64 (.f64 (.f64 1/3 (.f64 -2 x)) (.f64 1/3 (.f64 -2 x))) (.f64 (.f64 1/3 (.f64 -4 x)) (.f64 1/3 (.f64 -2 x)))))) (.f64 -2 x))
(if (!=.f64 (.f64 -4/3 x) 0) (/.f64 (.f64 (.f64 (.f64 -2 x) (.f64 -2/3 x)) (.f64 -2 x)) (.f64 (.f64 -2 x) (.f64 -2/3 x))) (.f64 -2 x))
(if (!=.f64 (.f64 -6 x) 0) (/.f64 (.f64 (.f64 -6 x) (.f64 -2 x)) (.f64 -6 x)) (.f64 -2 x))
(if (!=.f64 (.f64 -6 x) 0) (/.f64 (.f64 (.f64 (.f64 -6 x) -2) x) (.f64 -6 x)) (.f64 -2 x))
(if (!=.f64 (-.f64 (/.f64 (.f64 -4 x) 3) (.f64 (.f64 -2 x) 1/3)) 0) (/.f64 (-.f64 (.f64 (/.f64 (.f64 -4 x) 3) (/.f64 (.f64 -4 x) 3)) (.f64 (.f64 (.f64 -2 x) 1/3) (.f64 (.f64 -2 x) 1/3))) (-.f64 (/.f64 (.f64 -4 x) 3) (.f64 (.f64 -2 x) 1/3))) (*.f64 -2 x))
(if (!=.f64 (.f64 -2/3 x) 0) (/.f64 (.f64 (.f64 -2 x) (.f64 -2/3 x)) (.f64 -2/3 x)) (.f64 -2 x))
(if (!=.f64 (-.f64 (.f64 1/3 (.f64 -4 x)) (.f64 1/3 (.f64 -2 x))) 0) (/.f64 (-.f64 (.f64 (.f64 1/3 (.f64 -4 x)) (.f64 1/3 (.f64 -4 x))) (.f64 (.f64 1/3 (.f64 -2 x)) (.f64 1/3 (.f64 -2 x)))) (-.f64 (.f64 1/3 (.f64 -4 x)) (.f64 1/3 (.f64 -2 x)))) (*.f64 -2 x))
(if (!=.f64 (.f64 -2/3 x) 0) (/.f64 (.f64 (.f64 -2 x) (.f64 -2/3 x)) (.f64 -2/3 x)) (.f64 -2 x))
(if (!=.f64 (/.f64 (.f64 -4 x) 3) 0) (.f64 (/.f64 (.f64 -4 x) 3) (+.f64 1 (/.f64 (.f64 (.f64 -2 x) 1/3) (/.f64 (.f64 -4 x) 3)))) (*.f64 -2 x))
(if (!=.f64 (.f64 -4/3 x) 0) (.f64 (/.f64 (.f64 -6 x) (.f64 -4 x)) (.f64 -4/3 x)) (.f64 -2 x))
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(if (!=.f64 (/.f64 (pow.f64 (exp.f64 -2) x) (-.f64 -1 (pow.f64 (exp.f64 -2) x))) 0) (/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 -2) x) (-.f64 -1 (pow.f64 (exp.f64 -2) x))) 3) (pow.f64 (/.f64 1 (-.f64 -1 (pow.f64 (exp.f64 -2) x))) 3)) (+.f64 (.f64 (/.f64 (pow.f64 (exp.f64 -2) x) (-.f64 -1 (pow.f64 (exp.f64 -2) x))) (/.f64 (pow.f64 (exp.f64 -2) x) (-.f64 -1 (pow.f64 (exp.f64 -2) x)))) (+.f64 (.f64 (/.f64 1 (-.f64 -1 (pow.f64 (exp.f64 -2) x))) (/.f64 1 (-.f64 -1 (pow.f64 (exp.f64 -2) x)))) (.f64 (/.f64 (pow.f64 (exp.f64 -2) x) (-.f64 -1 (pow.f64 (exp.f64 -2) x))) (/.f64 1 (-.f64 -1 (pow.f64 (exp.f64 -2) x))))))) (/.f64 (expm1.f64 (.f64 -2 x)) (-.f64 -1 (pow.f64 (exp.f64 -2) x))))
(if (!=.f64 (/.f64 -1 (+.f64 1 (exp.f64 (.f64 x 2)))) 0) (/.f64 (/.f64 (expm1.f64 (.f64 -6 x)) (pow.f64 (-.f64 -1 (pow.f64 (exp.f64 -2) x)) 3)) (+.f64 (pow.f64 (/.f64 -1 (+.f64 1 (exp.f64 (.f64 x 2)))) 2) (/.f64 1 (-.f64 (pow.f64 (exp.f64 -2) x) -1)))) (/.f64 (expm1.f64 (.f64 -2 x)) (-.f64 -1 (pow.f64 (exp.f64 -2) x))))
(if (!=.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 -4) x) (neg.f64 (expm1.f64 (.f64 -2 x))))) 0) (.f64 (/.f64 (expm1.f64 (.f64 -2 x)) (+.f64 1 (pow.f64 (exp.f64 -6) x))) (neg.f64 (+.f64 (pow.f64 (exp.f64 -4) x) (neg.f64 (expm1.f64 (.f64 -2 x)))))) (/.f64 (expm1.f64 (*.f64 -2 x)) (-.f64 -1 (pow.f64 (exp.f64 -2) x))))
(if (!=.f64 (-.f64 (expm1.f64 (.f64 -2 x)) (pow.f64 (exp.f64 -4) x)) 0) (.f64 (/.f64 (expm1.f64 (.f64 -2 x)) (-.f64 (pow.f64 (exp.f64 -6) x) -1)) (-.f64 (expm1.f64 (.f64 -2 x)) (pow.f64 (exp.f64 -4) x))) (/.f64 (expm1.f64 (*.f64 -2 x)) (-.f64 -1 (pow.f64 (exp.f64 -2) x))))
(+.f64 (/.f64 (pow.f64 (exp.f64 -2) x) (-.f64 -1 (pow.f64 (exp.f64 -2) x))) (/.f64 -1 (-.f64 -1 (pow.f64 (exp.f64 -2) x))))
(/.f64 (expm1.f64 (*.f64 -2 x)) (-.f64 -1 (pow.f64 (exp.f64 -2) x)))
(+.f64 (/.f64 -1 (-.f64 -1 (pow.f64 (exp.f64 -2) x))) (/.f64 (pow.f64 (exp.f64 -2) x) (-.f64 -1 (pow.f64 (exp.f64 -2) x))))
(/.f64 (expm1.f64 (*.f64 -2 x)) (-.f64 -1 (pow.f64 (exp.f64 -2) x)))
(+.f64 (.f64 (/.f64 1 (-.f64 -1 (pow.f64 (exp.f64 -2) x))) (pow.f64 (exp.f64 -2) x)) (.f64 (/.f64 1 (-.f64 -1 (pow.f64 (exp.f64 -2) x))) -1))
(/.f64 (expm1.f64 (*.f64 -2 x)) (-.f64 -1 (pow.f64 (exp.f64 -2) x)))
(+.f64 (.f64 (/.f64 1 (-.f64 -1 (pow.f64 (exp.f64 -2) x))) -1) (.f64 (/.f64 1 (-.f64 -1 (pow.f64 (exp.f64 -2) x))) (pow.f64 (exp.f64 -2) x)))
(/.f64 (expm1.f64 (*.f64 -2 x)) (-.f64 -1 (pow.f64 (exp.f64 -2) x)))
(+.f64 (/.f64 (pow.f64 (exp.f64 -2) x) (-.f64 -1 (pow.f64 (exp.f64 -2) x))) (*.f64 (cbrt.f64 (/.f64 1 (-.f64 -1 (pow.f64 (exp.f64 -2) x)))) (/.f64 -1 (cbrt.f64 (pow.f64 (-.f64 -1 (pow.f64 (exp.f64 -2) x)) 2)))))
(+.f64 (/.f64 -1 (+.f64 1 (exp.f64 (*.f64 x 2)))) (/.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 -2) x) -1) -1/3) (cbrt.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 -2) x) -1) 2))))
(+.f64 (/.f64 (pow.f64 (exp.f64 -2) x) (-.f64 -1 (pow.f64 (exp.f64 -2) x))) (*.f64 (cbrt.f64 (/.f64 -1 (-.f64 -1 (pow.f64 (exp.f64 -2) x)))) (pow.f64 (cbrt.f64 (/.f64 1 (-.f64 -1 (pow.f64 (exp.f64 -2) x)))) 2)))
(+.f64 (/.f64 -1 (+.f64 1 (exp.f64 (.f64 x 2)))) (.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 -2) x) -1) -1/3) (cbrt.f64 (pow.f64 (/.f64 1 (-.f64 (pow.f64 (exp.f64 -2) x) -1)) 2))))

eval427.0ms (0.7%)

Compiler: Compiled 21174 to 17468 computations (17.5% saved)

prune115.0ms (0.2%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	699	2	701
Fresh	0	1	1
Picked	1	0	1
Done	0	3	3
Total	700	6	706

Error

Counts

706 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(/.f64 (expm1.f64 (.f64 x -2)) (-.f64 -1 (exp.f64 (.f64 (*.f64 -6 x) 1/3))))
✓	0.0b	(/.f64 (expm1.f64 (.f64 x -2)) (-.f64 -1 (exp.f64 (.f64 -2 x))))
✓	2.9b	(/.f64 (expm1.f64 (*.f64 x -2)) -2)
✓	2.2b	(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
▶	2.2b	(.f64 (+.f64 1 (.f64 (pow.f64 x 2) -1/3)) x)
	2.2b	x

Compiler

Compiled 53 to 43 computations (18.9% saved)

localize12.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1 (*.f64 (pow.f64 x 2) -1/3))
✓	0.0b	(.f64 (+.f64 1 (.f64 (pow.f64 x 2) -1/3)) x)
✓	0.2b	(*.f64 (pow.f64 x 2) -1/3)

Compiler

Compiled 29 to 23 computations (20.7% saved)

series17.0ms (0%)

Counts

3 → 18

Calls

9 calls:

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

Compiler

Compiled 1290 to 1070 computations (17.1% saved)

rewrite1.9s (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

88×	`egg-rr`
60×	`egg-rr`
50×	`egg-rr`

Counts

3 → 198

Calls

Call 1

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

Outputs

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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 1/9) (*.f64 (pow.f64 x 2) (cbrt.f64 -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 1/9) (pow.f64 x 2)) (cbrt.f64 -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 1/3 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/3 (pow.f64 x 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/3 (pow.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/9 (pow.f64 (pow.f64 x 2) 2))) (cbrt.f64 (*.f64 -1/3 (pow.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 2) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 -1/3 (pow.f64 x 2))) (cbrt.f64 (*.f64 1/9 (pow.f64 (pow.f64 x 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 1/3 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 x 2) -3)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/3 (pow.f64 x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/3 (pow.f64 x 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 1/9) (pow.f64 x 2)) (cbrt.f64 -3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (*.f64 (pow.f64 x 2) (*.f64 1/9 (pow.f64 (pow.f64 x 2) 2)))) (cbrt.f64 -3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (*.f64 (*.f64 1/9 (pow.f64 (pow.f64 x 2) 2)) (pow.f64 x 2))) (cbrt.f64 -3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 x 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/3 (pow.f64 x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/27 (pow.f64 (pow.f64 x 2) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -1/3 (pow.f64 x 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 -1/27 (pow.f64 (pow.f64 x 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 1/3 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 -1/3 0) (*.f64 -1/3 (pow.f64 x 2)) (*.f64 -1/3 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 -1/3 (pow.f64 x 2)) 0) (/.f64 1 (/.f64 -3 (pow.f64 x 2))) (*.f64 -1/3 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (cbrt.f64 (*.f64 1/9 (pow.f64 (pow.f64 x 2) 2))) 0) (cbrt.f64 (/.f64 (*.f64 -1/3 (pow.f64 x 2)) (pow.f64 (/.f64 -3 (pow.f64 x 2)) 2))) (*.f64 -1/3 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (pow.f64 x 2) 0) (/.f64 1 (/.f64 -3 (pow.f64 x 2))) (*.f64 -1/3 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 -1/27 (pow.f64 (pow.f64 x 2) 3)) 0) (/.f64 1 (pow.f64 (*.f64 -1/27 (pow.f64 (pow.f64 x 2) 3)) -1/3)) (*.f64 -1/3 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 x 0) (/.f64 x (/.f64 -3 x)) (*.f64 -1/3 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (cbrt.f64 (pow.f64 x 2)) 0) (/.f64 (cbrt.f64 (pow.f64 (pow.f64 x 2) 2)) (/.f64 -3 (cbrt.f64 (pow.f64 x 2)))) (*.f64 -1/3 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (cbrt.f64 (pow.f64 x 2)) 0) (/.f64 (*.f64 x (cbrt.f64 x)) (/.f64 -3 (cbrt.f64 (pow.f64 x 2)))) (*.f64 -1/3 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (cbrt.f64 (pow.f64 (pow.f64 x 2) 2)) 0) (/.f64 (cbrt.f64 (pow.f64 x 2)) (/.f64 -3 (cbrt.f64 (pow.f64 (pow.f64 x 2) 2)))) (*.f64 -1/3 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 (cbrt.f64 (pow.f64 x 2)) x) 0) (/.f64 (cbrt.f64 x) (/.f64 -3 (*.f64 (cbrt.f64 (pow.f64 x 2)) x))) (*.f64 -1/3 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 -1/3 (cbrt.f64 (pow.f64 (pow.f64 x 2) 2))) 0) (/.f64 (cbrt.f64 (pow.f64 x 2)) (/.f64 1 (*.f64 -1/3 (cbrt.f64 (pow.f64 (pow.f64 x 2) 2))))) (*.f64 -1/3 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (cbrt.f64 1/9) 0) (/.f64 (*.f64 (pow.f64 x 2) (cbrt.f64 -1/3)) (pow.f64 1/9 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2)) (*.f64 -1/3 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (cbrt.f64 (*.f64 -1/3 (pow.f64 x 2))) 0) (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 -1/3 (pow.f64 x 2))) -3)) (*.f64 -1/3 (pow.f64 x 2)))))))

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simplify4.3s (7.4%)

Algorithm

1×

egglog

Counts

216 → 272

Calls

Call 1

Inputs
(*.f64 -1/3 (pow.f64 x 2))
(*.f64 -1/3 (pow.f64 x 2))
(*.f64 -1/3 (pow.f64 x 2))
(*.f64 -1/3 (pow.f64 x 2))
x
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(+.f64 x (*.f64 -1/3 (pow.f64 (/.f64 1 x) -3)))
(+.f64 x (*.f64 -1/3 (pow.f64 (/.f64 1 x) -3)))
(+.f64 x (*.f64 -1/3 (pow.f64 (/.f64 1 x) -3)))
(+.f64 (*.f64 1/3 (pow.f64 (/.f64 -1 x) -3)) x)
(+.f64 (*.f64 1/3 (pow.f64 (/.f64 -1 x) -3)) x)
(+.f64 (*.f64 1/3 (pow.f64 (/.f64 -1 x) -3)) x)
1
(+.f64 (*.f64 -1/3 (pow.f64 x 2)) 1)
(+.f64 (*.f64 -1/3 (pow.f64 x 2)) 1)
(+.f64 (*.f64 -1/3 (pow.f64 x 2)) 1)
(.f64 x (.f64 -1/3 x))
(.f64 (cbrt.f64 (pow.f64 x 2)) (.f64 -1/3 (cbrt.f64 (pow.f64 (pow.f64 x 2) 2))))
(.f64 (.f64 -1/3 x) x)
(.f64 (.f64 -1/3 (cbrt.f64 (pow.f64 x 2))) (cbrt.f64 (pow.f64 (pow.f64 x 2) 2)))
(.f64 (.f64 -1/3 (cbrt.f64 (pow.f64 (pow.f64 x 2) 2))) (cbrt.f64 (pow.f64 x 2)))
(.f64 (cbrt.f64 (pow.f64 (pow.f64 x 2) 2)) (.f64 -1/3 (cbrt.f64 (pow.f64 x 2))))
(.f64 (.f64 (pow.f64 x 2) (cbrt.f64 -1/3)) (cbrt.f64 1/9))
(.f64 (cbrt.f64 -1/3) (.f64 (cbrt.f64 1/9) (pow.f64 x 2)))
(.f64 1 (.f64 -1/3 (pow.f64 x 2)))
(.f64 (.f64 -1/3 (pow.f64 x 2)) 1)
(.f64 (cbrt.f64 1/9) (.f64 (pow.f64 x 2) (cbrt.f64 -1/3)))
(.f64 (.f64 (cbrt.f64 1/9) (pow.f64 x 2)) (cbrt.f64 -1/3))
(.f64 -1 (.f64 1/3 (pow.f64 x 2)))
(.f64 (.f64 1/3 (pow.f64 x 2)) -1)
(*.f64 -1/3 (pow.f64 x 2))
(.f64 (cbrt.f64 (.f64 1/9 (pow.f64 (pow.f64 x 2) 2))) (cbrt.f64 (*.f64 -1/3 (pow.f64 x 2))))
(*.f64 (pow.f64 x 2) -1/3)
(.f64 (cbrt.f64 (.f64 -1/3 (pow.f64 x 2))) (cbrt.f64 (*.f64 1/9 (pow.f64 (pow.f64 x 2) 2))))
(-.f64 0 (*.f64 1/3 (pow.f64 x 2)))
(/.f64 (pow.f64 x 2) -3)
(/.f64 (*.f64 -1/3 (pow.f64 x 2)) 1)
(/.f64 (*.f64 1/3 (pow.f64 x 2)) -1)
(/.f64 (*.f64 (cbrt.f64 1/9) (pow.f64 x 2)) (cbrt.f64 -3))
(/.f64 (cbrt.f64 (.f64 (pow.f64 x 2) (.f64 1/9 (pow.f64 (pow.f64 x 2) 2)))) (cbrt.f64 -3))
(/.f64 (cbrt.f64 (.f64 (.f64 1/9 (pow.f64 (pow.f64 x 2) 2)) (pow.f64 x 2))) (cbrt.f64 -3))
(/.f64 (neg.f64 (pow.f64 x 2)) 3)
(pow.f64 (*.f64 -1/3 (pow.f64 x 2)) 1)
(pow.f64 (*.f64 -1/27 (pow.f64 (pow.f64 x 2) 3)) 1/3)
(pow.f64 (cbrt.f64 (*.f64 -1/3 (pow.f64 x 2))) 3)
(cbrt.f64 (*.f64 -1/27 (pow.f64 (pow.f64 x 2) 3)))
(neg.f64 (*.f64 1/3 (pow.f64 x 2)))
(if (!=.f64 -1/3 0) (.f64 -1/3 (pow.f64 x 2)) (.f64 -1/3 (pow.f64 x 2)))
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(/.f64 (.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 2) 1) 2)) (cbrt.f64 (fma.f64 (pow.f64 (pow.f64 x 2) 3) -1/27 1))) (cbrt.f64 (fma.f64 (.f64 -1/3 (pow.f64 x 2)) (fma.f64 (pow.f64 x 2) -1/3 -1) 1)))
(/.f64 (+.f64 -3 (pow.f64 x 2)) -3)
(/.f64 (fma.f64 -1/3 (pow.f64 x 2) 1) 1)
(/.f64 (pow.f64 (neg.f64 (cbrt.f64 (fma.f64 (pow.f64 (pow.f64 x 2) 3) -1/27 1))) 3) (pow.f64 (neg.f64 (cbrt.f64 (fma.f64 (*.f64 -1/3 (pow.f64 x 2)) (fma.f64 (pow.f64 x 2) -1/3 -1) 1))) 3))
(/.f64 (cbrt.f64 (.f64 (fma.f64 (pow.f64 (pow.f64 x 2) 3) -1/27 1) (pow.f64 (fma.f64 -1/3 (pow.f64 x 2) 1) 2))) (cbrt.f64 (fma.f64 (.f64 -1/3 (pow.f64 x 2)) (fma.f64 (pow.f64 x 2) -1/3 -1) 1)))
(/.f64 (cbrt.f64 (.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 2) 1) 2) (fma.f64 (pow.f64 (pow.f64 x 2) 3) -1/27 1))) (cbrt.f64 (fma.f64 (.f64 -1/3 (pow.f64 x 2)) (fma.f64 (pow.f64 x 2) -1/3 -1) 1)))
(/.f64 (cbrt.f64 (.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 2) 1) 2) (-.f64 (.f64 1/27 (pow.f64 (pow.f64 x 2) 3)) 1))) (cbrt.f64 (neg.f64 (fma.f64 (*.f64 -1/3 (pow.f64 x 2)) (fma.f64 (pow.f64 x 2) -1/3 -1) 1))))
(/.f64 (cbrt.f64 (.f64 (-.f64 (.f64 1/27 (pow.f64 (pow.f64 x 2) 3)) 1) (pow.f64 (fma.f64 -1/3 (pow.f64 x 2) 1) 2))) (cbrt.f64 (neg.f64 (fma.f64 (*.f64 -1/3 (pow.f64 x 2)) (fma.f64 (pow.f64 x 2) -1/3 -1) 1))))
(/.f64 (-.f64 (*.f64 1/3 (pow.f64 x 2)) 1) -1)
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 2) 3) -1/27 1) (fma.f64 (*.f64 -1/3 (pow.f64 x 2)) (fma.f64 (pow.f64 x 2) -1/3 -1) 1))
(/.f64 (-.f64 (.f64 -1/19683 (pow.f64 (pow.f64 (pow.f64 x 2) 3) 3)) -1) (.f64 (+.f64 1 (-.f64 (.f64 (pow.f64 (pow.f64 (pow.f64 x 2) 2) 3) 1/729) (.f64 -1/27 (pow.f64 (pow.f64 x 2) 3)))) (fma.f64 (*.f64 -1/3 (pow.f64 x 2)) (fma.f64 (pow.f64 x 2) -1/3 -1) 1)))
(/.f64 (-.f64 (.f64 -1/19683 (pow.f64 (pow.f64 (pow.f64 x 2) 3) 3)) -1) (.f64 (fma.f64 (.f64 -1/3 (pow.f64 x 2)) (fma.f64 (pow.f64 x 2) -1/3 -1) 1) (+.f64 1 (-.f64 (.f64 (pow.f64 (pow.f64 (pow.f64 x 2) 2) 3) 1/729) (*.f64 -1/27 (pow.f64 (pow.f64 x 2) 3))))))
(/.f64 (/.f64 (fma.f64 (pow.f64 (pow.f64 x 2) 3) -1/27 1) (cbrt.f64 (fma.f64 (.f64 -1/3 (pow.f64 x 2)) (fma.f64 (pow.f64 x 2) -1/3 -1) 1))) (cbrt.f64 (pow.f64 (fma.f64 (.f64 -1/3 (pow.f64 x 2)) (fma.f64 (pow.f64 x 2) -1/3 -1) 1) 2)))
(/.f64 (-.f64 1 (.f64 1/27 (pow.f64 (pow.f64 x 2) 3))) (fma.f64 (.f64 -1/3 (pow.f64 x 2)) (fma.f64 (pow.f64 x 2) -1/3 -1) 1))
(/.f64 (+.f64 3 (neg.f64 (pow.f64 x 2))) 3)
(/.f64 (+.f64 (neg.f64 (pow.f64 x 2)) 3) 3)
(/.f64 (-.f64 3 (pow.f64 x 2)) 3)
(/.f64 (-.f64 (.f64 1/27 (pow.f64 (pow.f64 x 2) 3)) 1) (neg.f64 (fma.f64 (.f64 -1/3 (pow.f64 x 2)) (fma.f64 (pow.f64 x 2) -1/3 -1) 1)))
(fma.f64 1 (*.f64 -1/3 (pow.f64 x 2)) 1)
(fma.f64 1 1 (*.f64 -1/3 (pow.f64 x 2)))
(fma.f64 (*.f64 -1/3 (pow.f64 x 2)) 1 1)
(fma.f64 -1/3 (pow.f64 x 2) 1)
(fma.f64 (pow.f64 x 2) -1/3 1)
(fma.f64 (*.f64 (pow.f64 x 2) (cbrt.f64 -1/3)) (cbrt.f64 1/9) 1)
(fma.f64 (*.f64 -1/3 (cbrt.f64 (pow.f64 x 2))) (cbrt.f64 (pow.f64 (pow.f64 x 2) 2)) 1)
(fma.f64 (*.f64 -1/3 x) x 1)
(fma.f64 x (*.f64 -1/3 x) 1)
(fma.f64 (cbrt.f64 (pow.f64 x 2)) (*.f64 -1/3 (cbrt.f64 (pow.f64 (pow.f64 x 2) 2))) 1)
(fma.f64 (cbrt.f64 -1/3) (*.f64 (cbrt.f64 1/9) (pow.f64 x 2)) 1)
(fma.f64 (cbrt.f64 (.f64 -1/3 (pow.f64 x 2))) (cbrt.f64 (.f64 1/9 (pow.f64 (pow.f64 x 2) 2))) 1)
(fma.f64 (cbrt.f64 (.f64 1/9 (pow.f64 (pow.f64 x 2) 2))) (cbrt.f64 (.f64 -1/3 (pow.f64 x 2))) 1)
(pow.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 2) 1) 3) 1/3)
(pow.f64 (fma.f64 -1/3 (pow.f64 x 2) 1) 1)
(pow.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 2) 1)) 3)
(cbrt.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 2) 1) 3))
(neg.f64 (-.f64 (*.f64 1/3 (pow.f64 x 2)) 1))
(neg.f64 (.f64 1 (-.f64 (.f64 1/3 (pow.f64 x 2)) 1)))
(neg.f64 (.f64 (-.f64 (.f64 1/3 (pow.f64 x 2)) 1) 1))
(neg.f64 (.f64 (fma.f64 (pow.f64 (pow.f64 x 2) 3) -1/27 1) (neg.f64 (pow.f64 (fma.f64 (.f64 -1/3 (pow.f64 x 2)) (fma.f64 (pow.f64 x 2) -1/3 -1) 1) -1))))
(neg.f64 (.f64 (neg.f64 (fma.f64 (.f64 -1/3 (pow.f64 x 2)) (fma.f64 (pow.f64 x 2) -1/3 -1) 1)) (/.f64 (fma.f64 -1/3 (pow.f64 x 2) 1) (fma.f64 (*.f64 -1/3 (pow.f64 x 2)) (fma.f64 (pow.f64 x 2) -1/3 -1) 1))))
(if (!=.f64 (fma.f64 (*.f64 -1/3 (pow.f64 x 2)) (fma.f64 (pow.f64 x 2) -1/3 -1) 1) 0) (fma.f64 -1/3 (pow.f64 x 2) 1) (fma.f64 -1/3 (pow.f64 x 2) 1))
(if (!=.f64 (*.f64 -1/3 (pow.f64 x 2)) 0) (fma.f64 -1/3 (pow.f64 x 2) 1) (fma.f64 -1/3 (pow.f64 x 2) 1))
(if (!=.f64 (-.f64 (*.f64 1/3 (pow.f64 x 2)) -1) 0) (/.f64 (fma.f64 1/9 (pow.f64 (pow.f64 x 2) 2) -1) (fma.f64 (pow.f64 x 2) -1/3 -1)) (fma.f64 -1/3 (pow.f64 x 2) 1))
(if (!=.f64 (fma.f64 (pow.f64 x 2) -1/3 -1) 0) (/.f64 (fma.f64 1/9 (pow.f64 (pow.f64 x 2) 2) -1) (fma.f64 (pow.f64 x 2) -1/3 -1)) (fma.f64 -1/3 (pow.f64 x 2) 1))
(if (!=.f64 (.f64 -1/3 (pow.f64 x 2)) 0) (.f64 (*.f64 -1/3 (pow.f64 x 2)) (+.f64 1 (/.f64 -3 (pow.f64 x 2)))) (fma.f64 -1/3 (pow.f64 x 2) 1))
(if (!=.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 2) 1) 3) 0) (pow.f64 (pow.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 2) 1) 3) -1/3) -1) (fma.f64 -1/3 (pow.f64 x 2) 1))
(if (!=.f64 (fma.f64 -1/3 (pow.f64 x 2) 1) 0) (/.f64 (fma.f64 (.f64 -1/3 (pow.f64 x 2)) (fma.f64 (pow.f64 x 2) -1/3 -1) 1) (/.f64 (fma.f64 (.f64 -1/3 (pow.f64 x 2)) (fma.f64 (pow.f64 x 2) -1/3 -1) 1) (fma.f64 -1/3 (pow.f64 x 2) 1))) (fma.f64 -1/3 (pow.f64 x 2) 1))
(if (!=.f64 (fma.f64 (pow.f64 (pow.f64 x 2) 3) -1/27 1) 0) (pow.f64 (/.f64 (fma.f64 (*.f64 -1/3 (pow.f64 x 2)) (fma.f64 (pow.f64 x 2) -1/3 -1) 1) (fma.f64 (pow.f64 (pow.f64 x 2) 3) -1/27 1)) -1) (fma.f64 -1/3 (pow.f64 x 2) 1))
(if (!=.f64 (cbrt.f64 (pow.f64 (fma.f64 (pow.f64 (pow.f64 x 2) 3) -1/27 1) 2)) 0) (/.f64 (cbrt.f64 (fma.f64 (pow.f64 (pow.f64 x 2) 3) -1/27 1)) (/.f64 (fma.f64 (*.f64 -1/3 (pow.f64 x 2)) (fma.f64 (pow.f64 x 2) -1/3 -1) 1) (cbrt.f64 (pow.f64 (fma.f64 (pow.f64 (pow.f64 x 2) 3) -1/27 1) 2)))) (fma.f64 -1/3 (pow.f64 x 2) 1))
(if (!=.f64 (+.f64 (+.f64 1 (pow.f64 (fma.f64 1/9 (pow.f64 (pow.f64 x 2) 2) (.f64 1/3 (pow.f64 x 2))) 2)) (fma.f64 (.f64 -1/3 x) x (.f64 -1/9 (pow.f64 (pow.f64 x 2) 2)))) 0) (.f64 (/.f64 (fma.f64 (pow.f64 (pow.f64 x 2) 3) -1/27 1) (+.f64 1 (pow.f64 (fma.f64 1/9 (pow.f64 (pow.f64 x 2) 2) (.f64 1/3 (pow.f64 x 2))) 3))) (+.f64 (+.f64 1 (pow.f64 (fma.f64 1/9 (pow.f64 (pow.f64 x 2) 2) (.f64 1/3 (pow.f64 x 2))) 2)) (fma.f64 (.f64 -1/3 x) x (.f64 -1/9 (pow.f64 (pow.f64 x 2) 2))))) (fma.f64 -1/3 (pow.f64 x 2) 1))
(if (!=.f64 1 0) (fma.f64 -1/3 (pow.f64 x 2) 1) (fma.f64 -1/3 (pow.f64 x 2) 1))
(if (!=.f64 (fma.f64 -1/3 (pow.f64 x 2) 1) 0) (/.f64 1 (pow.f64 (fma.f64 -1/3 (pow.f64 x 2) 1) -1)) (fma.f64 -1/3 (pow.f64 x 2) 1))
(if (!=.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 2) 1)) 0) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 2) 1)) -3)) (fma.f64 -1/3 (pow.f64 x 2) 1))
(if (!=.f64 (*.f64 1/3 (pow.f64 x 2)) 0) (fma.f64 -1/3 (pow.f64 x 2) 1) (fma.f64 -1/3 (pow.f64 x 2) 1))
(+.f64 1 (*.f64 -1/3 (pow.f64 x 2)))
(+.f64 (*.f64 -1/3 (pow.f64 x 2)) 1)
(+.f64 1/2 (-.f64 1/2 (*.f64 1/3 (pow.f64 x 2))))
(+.f64 1 (+.f64 0 (*.f64 -1/3 (pow.f64 x 2))))
(+.f64 1/2 (+.f64 1/2 (*.f64 -1/3 (pow.f64 x 2))))
(+.f64 (+.f64 (*.f64 -1/3 (pow.f64 x 2)) 1/2) 1/2)
(+.f64 (fma.f64 -1/3 (pow.f64 x 2) 1) 0)

Outputs
(*.f64 -1/3 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) -1/3)
(*.f64 -1/3 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) -1/3)
(*.f64 -1/3 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) -1/3)
(*.f64 -1/3 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) -1/3)
x
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(fma.f64 -1/3 (pow.f64 x 3) x)
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(fma.f64 -1/3 (pow.f64 x 3) x)
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(fma.f64 -1/3 (pow.f64 x 3) x)
(+.f64 x (*.f64 -1/3 (pow.f64 (/.f64 1 x) -3)))
(+.f64 x (*.f64 -1/3 (pow.f64 (pow.f64 x -1) -3)))
(+.f64 x (*.f64 -1/3 (pow.f64 (/.f64 1 x) -3)))
(+.f64 x (*.f64 -1/3 (pow.f64 (pow.f64 x -1) -3)))
(+.f64 x (*.f64 -1/3 (pow.f64 (/.f64 1 x) -3)))
(+.f64 x (*.f64 -1/3 (pow.f64 (pow.f64 x -1) -3)))
(+.f64 (*.f64 1/3 (pow.f64 (/.f64 -1 x) -3)) x)
(fma.f64 1/3 (pow.f64 (/.f64 -1 x) -3) x)
(+.f64 (*.f64 1/3 (pow.f64 (/.f64 -1 x) -3)) x)
(fma.f64 1/3 (pow.f64 (/.f64 -1 x) -3) x)
(+.f64 (*.f64 1/3 (pow.f64 (/.f64 -1 x) -3)) x)
(fma.f64 1/3 (pow.f64 (/.f64 -1 x) -3) x)
1
(+.f64 (*.f64 -1/3 (pow.f64 x 2)) 1)
(*.f64 (fma.f64 x x -3) -1/3)
(+.f64 (*.f64 -1/3 (pow.f64 x 2)) 1)
(*.f64 (fma.f64 x x -3) -1/3)
(+.f64 (*.f64 -1/3 (pow.f64 x 2)) 1)
(*.f64 (fma.f64 x x -3) -1/3)
(.f64 x (.f64 -1/3 x))
(*.f64 (pow.f64 x 2) -1/3)
(.f64 (cbrt.f64 (pow.f64 x 2)) (.f64 -1/3 (cbrt.f64 (pow.f64 (pow.f64 x 2) 2))))
(.f64 -1/3 (.f64 (cbrt.f64 (pow.f64 x 2)) (cbrt.f64 (pow.f64 (pow.f64 x 2) 2))))
(.f64 (.f64 -1/3 x) x)
(*.f64 (pow.f64 x 2) -1/3)
(.f64 (.f64 -1/3 (cbrt.f64 (pow.f64 x 2))) (cbrt.f64 (pow.f64 (pow.f64 x 2) 2)))
(.f64 -1/3 (.f64 (cbrt.f64 (pow.f64 x 2)) (cbrt.f64 (pow.f64 (pow.f64 x 2) 2))))
(.f64 (.f64 -1/3 (cbrt.f64 (pow.f64 (pow.f64 x 2) 2))) (cbrt.f64 (pow.f64 x 2)))
(.f64 -1/3 (.f64 (cbrt.f64 (pow.f64 x 2)) (cbrt.f64 (pow.f64 (pow.f64 x 2) 2))))
(.f64 (cbrt.f64 (pow.f64 (pow.f64 x 2) 2)) (.f64 -1/3 (cbrt.f64 (pow.f64 x 2))))
(.f64 -1/3 (.f64 (cbrt.f64 (pow.f64 x 2)) (cbrt.f64 (pow.f64 (pow.f64 x 2) 2))))
(.f64 (.f64 (pow.f64 x 2) (cbrt.f64 -1/3)) (cbrt.f64 1/9))
(.f64 (pow.f64 x 2) (.f64 (cbrt.f64 -1/3) (cbrt.f64 1/9)))
(.f64 (cbrt.f64 -1/3) (.f64 (cbrt.f64 1/9) (pow.f64 x 2)))
(.f64 (pow.f64 x 2) (.f64 (cbrt.f64 -1/3) (cbrt.f64 1/9)))
(.f64 1 (.f64 -1/3 (pow.f64 x 2)))
(*.f64 (pow.f64 x 2) -1/3)
(.f64 (.f64 -1/3 (pow.f64 x 2)) 1)
(*.f64 (pow.f64 x 2) -1/3)
(.f64 (cbrt.f64 1/9) (.f64 (pow.f64 x 2) (cbrt.f64 -1/3)))
(.f64 (pow.f64 x 2) (.f64 (cbrt.f64 -1/3) (cbrt.f64 1/9)))
(.f64 (.f64 (cbrt.f64 1/9) (pow.f64 x 2)) (cbrt.f64 -1/3))
(.f64 (pow.f64 x 2) (.f64 (cbrt.f64 -1/3) (cbrt.f64 1/9)))
(.f64 -1 (.f64 1/3 (pow.f64 x 2)))
(*.f64 (pow.f64 x 2) -1/3)
(.f64 (.f64 1/3 (pow.f64 x 2)) -1)
(*.f64 (pow.f64 x 2) -1/3)
(*.f64 -1/3 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) -1/3)
(.f64 (cbrt.f64 (.f64 1/9 (pow.f64 (pow.f64 x 2) 2))) (cbrt.f64 (*.f64 -1/3 (pow.f64 x 2))))
(*.f64 (pow.f64 x 2) -1/3)
(*.f64 (pow.f64 x 2) -1/3)
(.f64 (cbrt.f64 (.f64 -1/3 (pow.f64 x 2))) (cbrt.f64 (*.f64 1/9 (pow.f64 (pow.f64 x 2) 2))))
(*.f64 (pow.f64 x 2) -1/3)
(-.f64 0 (*.f64 1/3 (pow.f64 x 2)))
(*.f64 (pow.f64 x 2) -1/3)
(/.f64 (pow.f64 x 2) -3)
(*.f64 (pow.f64 x 2) -1/3)
(/.f64 (*.f64 -1/3 (pow.f64 x 2)) 1)
(*.f64 (pow.f64 x 2) -1/3)
(/.f64 (*.f64 1/3 (pow.f64 x 2)) -1)
(*.f64 (pow.f64 x 2) -1/3)
(/.f64 (*.f64 (cbrt.f64 1/9) (pow.f64 x 2)) (cbrt.f64 -3))
(.f64 (pow.f64 x 2) (.f64 (cbrt.f64 -1/3) (cbrt.f64 1/9)))
(/.f64 (cbrt.f64 (.f64 (pow.f64 x 2) (.f64 1/9 (pow.f64 (pow.f64 x 2) 2)))) (cbrt.f64 -3))
(cbrt.f64 (.f64 (pow.f64 (.f64 -1/3 (pow.f64 x 3)) 2) -1/3))
(/.f64 (cbrt.f64 (.f64 (.f64 1/9 (pow.f64 (pow.f64 x 2) 2)) (pow.f64 x 2))) (cbrt.f64 -3))
(cbrt.f64 (.f64 (pow.f64 (.f64 -1/3 (pow.f64 x 3)) 2) -1/3))
(/.f64 (neg.f64 (pow.f64 x 2)) 3)
(*.f64 (pow.f64 x 2) -1/3)
(pow.f64 (*.f64 -1/3 (pow.f64 x 2)) 1)
(*.f64 (pow.f64 x 2) -1/3)
(pow.f64 (*.f64 -1/27 (pow.f64 (pow.f64 x 2) 3)) 1/3)
(*.f64 (pow.f64 x 2) -1/3)
(pow.f64 (cbrt.f64 (*.f64 -1/3 (pow.f64 x 2))) 3)
(*.f64 (pow.f64 x 2) -1/3)
(cbrt.f64 (*.f64 -1/27 (pow.f64 (pow.f64 x 2) 3)))
(*.f64 (pow.f64 x 2) -1/3)
(neg.f64 (*.f64 1/3 (pow.f64 x 2)))
(*.f64 (pow.f64 x 2) -1/3)
(if (!=.f64 -1/3 0) (.f64 -1/3 (pow.f64 x 2)) (.f64 -1/3 (pow.f64 x 2)))
(if (!=.f64 -1/3 0) (.f64 (pow.f64 x 2) -1/3) (.f64 (pow.f64 x 2) -1/3))
(if (!=.f64 (.f64 -1/3 (pow.f64 x 2)) 0) (/.f64 1 (/.f64 -3 (pow.f64 x 2))) (.f64 -1/3 (pow.f64 x 2)))
(if (!=.f64 (.f64 (pow.f64 x 2) -1/3) 0) (/.f64 -1/3 (/.f64 1 (pow.f64 x 2))) (.f64 (pow.f64 x 2) -1/3))
(if (!=.f64 (cbrt.f64 (.f64 1/9 (pow.f64 (pow.f64 x 2) 2))) 0) (cbrt.f64 (/.f64 (.f64 -1/3 (pow.f64 x 2)) (pow.f64 (/.f64 -3 (pow.f64 x 2)) 2))) (*.f64 -1/3 (pow.f64 x 2)))
(if (!=.f64 (cbrt.f64 (.f64 (pow.f64 (pow.f64 x 2) 2) 1/9)) 0) (cbrt.f64 (/.f64 (pow.f64 x 2) (/.f64 (pow.f64 (/.f64 -3 (pow.f64 x 2)) 2) -1/3))) (.f64 (pow.f64 x 2) -1/3))
(if (!=.f64 (pow.f64 x 2) 0) (/.f64 1 (/.f64 -3 (pow.f64 x 2))) (*.f64 -1/3 (pow.f64 x 2)))
(if (!=.f64 (pow.f64 x 2) 0) (/.f64 -1/3 (/.f64 1 (pow.f64 x 2))) (*.f64 (pow.f64 x 2) -1/3))
(if (!=.f64 (.f64 -1/27 (pow.f64 (pow.f64 x 2) 3)) 0) (/.f64 1 (pow.f64 (.f64 -1/27 (pow.f64 (pow.f64 x 2) 3)) -1/3)) (*.f64 -1/3 (pow.f64 x 2)))
(if (!=.f64 (pow.f64 (.f64 (pow.f64 x 2) -1/3) 3) 0) (/.f64 1 (pow.f64 (pow.f64 (.f64 (pow.f64 x 2) -1/3) 3) -1/3)) (*.f64 (pow.f64 x 2) -1/3))
(if (!=.f64 x 0) (/.f64 x (/.f64 -3 x)) (*.f64 -1/3 (pow.f64 x 2)))
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(*.f64 (fma.f64 x x -3) -1/3)
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 2) 3) -1/27 1) (fma.f64 (*.f64 -1/3 (pow.f64 x 2)) (fma.f64 (pow.f64 x 2) -1/3 -1) 1))
(*.f64 (fma.f64 x x -3) -1/3)
(/.f64 (-.f64 (.f64 -1/19683 (pow.f64 (pow.f64 (pow.f64 x 2) 3) 3)) -1) (.f64 (+.f64 1 (-.f64 (.f64 (pow.f64 (pow.f64 (pow.f64 x 2) 2) 3) 1/729) (.f64 -1/27 (pow.f64 (pow.f64 x 2) 3)))) (fma.f64 (*.f64 -1/3 (pow.f64 x 2)) (fma.f64 (pow.f64 x 2) -1/3 -1) 1)))
(/.f64 (/.f64 (fma.f64 -1/19683 (pow.f64 (pow.f64 (pow.f64 x 2) 3) 3) 1) (fma.f64 (.f64 (pow.f64 x 2) -1/3) (fma.f64 (pow.f64 x 2) -1/3 -1) 1)) (-.f64 (fma.f64 (pow.f64 (pow.f64 (pow.f64 x 2) 2) 3) 1/729 (pow.f64 (.f64 1/3 (pow.f64 x 2)) 3)) -1))
(/.f64 (-.f64 (.f64 -1/19683 (pow.f64 (pow.f64 (pow.f64 x 2) 3) 3)) -1) (.f64 (fma.f64 (.f64 -1/3 (pow.f64 x 2)) (fma.f64 (pow.f64 x 2) -1/3 -1) 1) (+.f64 1 (-.f64 (.f64 (pow.f64 (pow.f64 (pow.f64 x 2) 2) 3) 1/729) (*.f64 -1/27 (pow.f64 (pow.f64 x 2) 3))))))
(/.f64 (/.f64 (fma.f64 -1/19683 (pow.f64 (pow.f64 (pow.f64 x 2) 3) 3) 1) (fma.f64 (.f64 (pow.f64 x 2) -1/3) (fma.f64 (pow.f64 x 2) -1/3 -1) 1)) (-.f64 (fma.f64 (pow.f64 (pow.f64 (pow.f64 x 2) 2) 3) 1/729 (pow.f64 (.f64 1/3 (pow.f64 x 2)) 3)) -1))
(/.f64 (/.f64 (fma.f64 (pow.f64 (pow.f64 x 2) 3) -1/27 1) (cbrt.f64 (fma.f64 (.f64 -1/3 (pow.f64 x 2)) (fma.f64 (pow.f64 x 2) -1/3 -1) 1))) (cbrt.f64 (pow.f64 (fma.f64 (.f64 -1/3 (pow.f64 x 2)) (fma.f64 (pow.f64 x 2) -1/3 -1) 1) 2)))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 2) 3) -1/27 1) (.f64 (cbrt.f64 (pow.f64 (fma.f64 (.f64 (pow.f64 x 2) -1/3) (fma.f64 (pow.f64 x 2) -1/3 -1) 1) 2)) (cbrt.f64 (fma.f64 (*.f64 (pow.f64 x 2) -1/3) (fma.f64 (pow.f64 x 2) -1/3 -1) 1))))
(/.f64 (-.f64 1 (.f64 1/27 (pow.f64 (pow.f64 x 2) 3))) (fma.f64 (.f64 -1/3 (pow.f64 x 2)) (fma.f64 (pow.f64 x 2) -1/3 -1) 1))
(*.f64 (fma.f64 x x -3) -1/3)
(/.f64 (+.f64 3 (neg.f64 (pow.f64 x 2))) 3)
(*.f64 (fma.f64 x x -3) -1/3)
(/.f64 (+.f64 (neg.f64 (pow.f64 x 2)) 3) 3)
(*.f64 (fma.f64 x x -3) -1/3)
(/.f64 (-.f64 3 (pow.f64 x 2)) 3)
(*.f64 (fma.f64 x x -3) -1/3)
(/.f64 (-.f64 (.f64 1/27 (pow.f64 (pow.f64 x 2) 3)) 1) (neg.f64 (fma.f64 (.f64 -1/3 (pow.f64 x 2)) (fma.f64 (pow.f64 x 2) -1/3 -1) 1)))
(*.f64 (fma.f64 x x -3) -1/3)
(fma.f64 1 (*.f64 -1/3 (pow.f64 x 2)) 1)
(*.f64 (fma.f64 x x -3) -1/3)
(fma.f64 1 1 (*.f64 -1/3 (pow.f64 x 2)))
(*.f64 (fma.f64 x x -3) -1/3)
(fma.f64 (*.f64 -1/3 (pow.f64 x 2)) 1 1)
(*.f64 (fma.f64 x x -3) -1/3)
(fma.f64 -1/3 (pow.f64 x 2) 1)
(*.f64 (fma.f64 x x -3) -1/3)
(fma.f64 (pow.f64 x 2) -1/3 1)
(*.f64 (fma.f64 x x -3) -1/3)
(fma.f64 (*.f64 (pow.f64 x 2) (cbrt.f64 -1/3)) (cbrt.f64 1/9) 1)
(fma.f64 (*.f64 -1/3 (cbrt.f64 (pow.f64 x 2))) (cbrt.f64 (pow.f64 (pow.f64 x 2) 2)) 1)
(fma.f64 (*.f64 -1/3 x) x 1)
(*.f64 (fma.f64 x x -3) -1/3)
(fma.f64 x (*.f64 -1/3 x) 1)
(*.f64 (fma.f64 x x -3) -1/3)
(fma.f64 (cbrt.f64 (pow.f64 x 2)) (*.f64 -1/3 (cbrt.f64 (pow.f64 (pow.f64 x 2) 2))) 1)
(fma.f64 (*.f64 -1/3 (cbrt.f64 (pow.f64 x 2))) (cbrt.f64 (pow.f64 (pow.f64 x 2) 2)) 1)
(fma.f64 (cbrt.f64 -1/3) (*.f64 (cbrt.f64 1/9) (pow.f64 x 2)) 1)
(fma.f64 (*.f64 (pow.f64 x 2) (cbrt.f64 -1/3)) (cbrt.f64 1/9) 1)
(fma.f64 (cbrt.f64 (.f64 -1/3 (pow.f64 x 2))) (cbrt.f64 (.f64 1/9 (pow.f64 (pow.f64 x 2) 2))) 1)
(*.f64 (fma.f64 x x -3) -1/3)
(fma.f64 (cbrt.f64 (.f64 1/9 (pow.f64 (pow.f64 x 2) 2))) (cbrt.f64 (.f64 -1/3 (pow.f64 x 2))) 1)
(*.f64 (fma.f64 x x -3) -1/3)
(pow.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 2) 1) 3) 1/3)
(*.f64 (fma.f64 x x -3) -1/3)
(pow.f64 (fma.f64 -1/3 (pow.f64 x 2) 1) 1)
(*.f64 (fma.f64 x x -3) -1/3)
(pow.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 2) 1)) 3)
(*.f64 (fma.f64 x x -3) -1/3)
(cbrt.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 2) 1) 3))
(*.f64 (fma.f64 x x -3) -1/3)
(neg.f64 (-.f64 (*.f64 1/3 (pow.f64 x 2)) 1))
(*.f64 (fma.f64 x x -3) -1/3)
(neg.f64 (.f64 1 (-.f64 (.f64 1/3 (pow.f64 x 2)) 1)))
(*.f64 (fma.f64 x x -3) -1/3)
(neg.f64 (.f64 (-.f64 (.f64 1/3 (pow.f64 x 2)) 1) 1))
(*.f64 (fma.f64 x x -3) -1/3)
(neg.f64 (.f64 (fma.f64 (pow.f64 (pow.f64 x 2) 3) -1/27 1) (neg.f64 (pow.f64 (fma.f64 (.f64 -1/3 (pow.f64 x 2)) (fma.f64 (pow.f64 x 2) -1/3 -1) 1) -1))))
(*.f64 (fma.f64 x x -3) -1/3)
(neg.f64 (.f64 (neg.f64 (fma.f64 (.f64 -1/3 (pow.f64 x 2)) (fma.f64 (pow.f64 x 2) -1/3 -1) 1)) (/.f64 (fma.f64 -1/3 (pow.f64 x 2) 1) (fma.f64 (*.f64 -1/3 (pow.f64 x 2)) (fma.f64 (pow.f64 x 2) -1/3 -1) 1))))
(*.f64 (fma.f64 x x -3) -1/3)
(if (!=.f64 (fma.f64 (*.f64 -1/3 (pow.f64 x 2)) (fma.f64 (pow.f64 x 2) -1/3 -1) 1) 0) (fma.f64 -1/3 (pow.f64 x 2) 1) (fma.f64 -1/3 (pow.f64 x 2) 1))
(if (!=.f64 (fma.f64 (.f64 (pow.f64 x 2) -1/3) (fma.f64 (pow.f64 x 2) -1/3 -1) 1) 0) (.f64 (fma.f64 x x -3) -1/3) (*.f64 (fma.f64 x x -3) -1/3))
(if (!=.f64 (*.f64 -1/3 (pow.f64 x 2)) 0) (fma.f64 -1/3 (pow.f64 x 2) 1) (fma.f64 -1/3 (pow.f64 x 2) 1))
(if (!=.f64 (.f64 (pow.f64 x 2) -1/3) 0) (.f64 (fma.f64 x x -3) -1/3) (*.f64 (fma.f64 x x -3) -1/3))
(if (!=.f64 (-.f64 (*.f64 1/3 (pow.f64 x 2)) -1) 0) (/.f64 (fma.f64 1/9 (pow.f64 (pow.f64 x 2) 2) -1) (fma.f64 (pow.f64 x 2) -1/3 -1)) (fma.f64 -1/3 (pow.f64 x 2) 1))
(if (!=.f64 (fma.f64 1/3 (pow.f64 x 2) 1) 0) (/.f64 (fma.f64 1/9 (pow.f64 (pow.f64 x 2) 2) -1) (fma.f64 (pow.f64 x 2) -1/3 -1)) (*.f64 (fma.f64 x x -3) -1/3))
(if (!=.f64 (fma.f64 (pow.f64 x 2) -1/3 -1) 0) (/.f64 (fma.f64 1/9 (pow.f64 (pow.f64 x 2) 2) -1) (fma.f64 (pow.f64 x 2) -1/3 -1)) (fma.f64 -1/3 (pow.f64 x 2) 1))
(if (!=.f64 (fma.f64 (pow.f64 x 2) -1/3 -1) 0) (/.f64 (fma.f64 1/9 (pow.f64 (pow.f64 x 2) 2) -1) (fma.f64 (pow.f64 x 2) -1/3 -1)) (*.f64 (fma.f64 x x -3) -1/3))
(if (!=.f64 (.f64 -1/3 (pow.f64 x 2)) 0) (.f64 (*.f64 -1/3 (pow.f64 x 2)) (+.f64 1 (/.f64 -3 (pow.f64 x 2)))) (fma.f64 -1/3 (pow.f64 x 2) 1))
(if (!=.f64 (.f64 (pow.f64 x 2) -1/3) 0) (.f64 -1/3 (.f64 (pow.f64 x 2) (+.f64 1 (/.f64 -3 (pow.f64 x 2))))) (.f64 (fma.f64 x x -3) -1/3))
(if (!=.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 2) 1) 3) 0) (pow.f64 (pow.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 2) 1) 3) -1/3) -1) (fma.f64 -1/3 (pow.f64 x 2) 1))
(if (!=.f64 (/.f64 (pow.f64 (fma.f64 x x -3) 3) -27) 0) (/.f64 1 (pow.f64 (/.f64 (pow.f64 (fma.f64 x x -3) 3) -27) -1/3)) (*.f64 (fma.f64 x x -3) -1/3))
(if (!=.f64 (fma.f64 -1/3 (pow.f64 x 2) 1) 0) (/.f64 (fma.f64 (.f64 -1/3 (pow.f64 x 2)) (fma.f64 (pow.f64 x 2) -1/3 -1) 1) (/.f64 (fma.f64 (.f64 -1/3 (pow.f64 x 2)) (fma.f64 (pow.f64 x 2) -1/3 -1) 1) (fma.f64 -1/3 (pow.f64 x 2) 1))) (fma.f64 -1/3 (pow.f64 x 2) 1))
(if (!=.f64 (.f64 (fma.f64 x x -3) -1/3) 0) (/.f64 (fma.f64 (.f64 (pow.f64 x 2) -1/3) (fma.f64 (pow.f64 x 2) -1/3 -1) 1) (/.f64 (fma.f64 (.f64 (pow.f64 x 2) -1/3) (fma.f64 (pow.f64 x 2) -1/3 -1) 1) (.f64 (fma.f64 x x -3) -1/3))) (*.f64 (fma.f64 x x -3) -1/3))
(if (!=.f64 (fma.f64 (pow.f64 (pow.f64 x 2) 3) -1/27 1) 0) (pow.f64 (/.f64 (fma.f64 (*.f64 -1/3 (pow.f64 x 2)) (fma.f64 (pow.f64 x 2) -1/3 -1) 1) (fma.f64 (pow.f64 (pow.f64 x 2) 3) -1/27 1)) -1) (fma.f64 -1/3 (pow.f64 x 2) 1))
(if (!=.f64 (fma.f64 (pow.f64 (pow.f64 x 2) 3) -1/27 1) 0) (pow.f64 (/.f64 (fma.f64 (.f64 (pow.f64 x 2) -1/3) (fma.f64 (pow.f64 x 2) -1/3 -1) 1) (fma.f64 (pow.f64 (pow.f64 x 2) 3) -1/27 1)) -1) (.f64 (fma.f64 x x -3) -1/3))
(if (!=.f64 (cbrt.f64 (pow.f64 (fma.f64 (pow.f64 (pow.f64 x 2) 3) -1/27 1) 2)) 0) (/.f64 (cbrt.f64 (fma.f64 (pow.f64 (pow.f64 x 2) 3) -1/27 1)) (/.f64 (fma.f64 (*.f64 -1/3 (pow.f64 x 2)) (fma.f64 (pow.f64 x 2) -1/3 -1) 1) (cbrt.f64 (pow.f64 (fma.f64 (pow.f64 (pow.f64 x 2) 3) -1/27 1) 2)))) (fma.f64 -1/3 (pow.f64 x 2) 1))
(if (!=.f64 (cbrt.f64 (pow.f64 (fma.f64 (pow.f64 (pow.f64 x 2) 3) -1/27 1) 2)) 0) (/.f64 (cbrt.f64 (fma.f64 (pow.f64 (pow.f64 x 2) 3) -1/27 1)) (/.f64 (fma.f64 (.f64 (pow.f64 x 2) -1/3) (fma.f64 (pow.f64 x 2) -1/3 -1) 1) (cbrt.f64 (pow.f64 (fma.f64 (pow.f64 (pow.f64 x 2) 3) -1/27 1) 2)))) (.f64 (fma.f64 x x -3) -1/3))
(if (!=.f64 (+.f64 (+.f64 1 (pow.f64 (fma.f64 1/9 (pow.f64 (pow.f64 x 2) 2) (.f64 1/3 (pow.f64 x 2))) 2)) (fma.f64 (.f64 -1/3 x) x (.f64 -1/9 (pow.f64 (pow.f64 x 2) 2)))) 0) (.f64 (/.f64 (fma.f64 (pow.f64 (pow.f64 x 2) 3) -1/27 1) (+.f64 1 (pow.f64 (fma.f64 1/9 (pow.f64 (pow.f64 x 2) 2) (.f64 1/3 (pow.f64 x 2))) 3))) (+.f64 (+.f64 1 (pow.f64 (fma.f64 1/9 (pow.f64 (pow.f64 x 2) 2) (.f64 1/3 (pow.f64 x 2))) 2)) (fma.f64 (.f64 -1/3 x) x (.f64 -1/9 (pow.f64 (pow.f64 x 2) 2))))) (fma.f64 -1/3 (pow.f64 x 2) 1))
(if (!=.f64 (+.f64 (-.f64 (pow.f64 (fma.f64 1/9 (pow.f64 (pow.f64 x 2) 2) (.f64 1/3 (pow.f64 x 2))) 2) -1) (fma.f64 (.f64 x -1/3) x (.f64 (pow.f64 (pow.f64 x 2) 2) -1/9))) 0) (/.f64 (.f64 (fma.f64 (pow.f64 (pow.f64 x 2) 3) -1/27 1) (+.f64 (-.f64 (pow.f64 (fma.f64 1/9 (pow.f64 (pow.f64 x 2) 2) (.f64 1/3 (pow.f64 x 2))) 2) -1) (fma.f64 (.f64 x -1/3) x (.f64 (pow.f64 (pow.f64 x 2) 2) -1/9)))) (-.f64 (pow.f64 (fma.f64 1/9 (pow.f64 (pow.f64 x 2) 2) (.f64 1/3 (pow.f64 x 2))) 3) -1)) (*.f64 (fma.f64 x x -3) -1/3))
(if (!=.f64 1 0) (fma.f64 -1/3 (pow.f64 x 2) 1) (fma.f64 -1/3 (pow.f64 x 2) 1))
(if (!=.f64 1 0) (.f64 (fma.f64 x x -3) -1/3) (.f64 (fma.f64 x x -3) -1/3))
(if (!=.f64 (fma.f64 -1/3 (pow.f64 x 2) 1) 0) (/.f64 1 (pow.f64 (fma.f64 -1/3 (pow.f64 x 2) 1) -1)) (fma.f64 -1/3 (pow.f64 x 2) 1))
(if (!=.f64 (.f64 (fma.f64 x x -3) -1/3) 0) (pow.f64 (/.f64 1 (.f64 (fma.f64 x x -3) -1/3)) -1) (*.f64 (fma.f64 x x -3) -1/3))
(if (!=.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 2) 1)) 0) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 2) 1)) -3)) (fma.f64 -1/3 (pow.f64 x 2) 1))
(if (!=.f64 (cbrt.f64 (.f64 (fma.f64 x x -3) -1/3)) 0) (/.f64 1 (pow.f64 (cbrt.f64 (.f64 (fma.f64 x x -3) -1/3)) -3)) (*.f64 (fma.f64 x x -3) -1/3))
(if (!=.f64 (*.f64 1/3 (pow.f64 x 2)) 0) (fma.f64 -1/3 (pow.f64 x 2) 1) (fma.f64 -1/3 (pow.f64 x 2) 1))
(if (!=.f64 (.f64 1/3 (pow.f64 x 2)) 0) (.f64 (fma.f64 x x -3) -1/3) (*.f64 (fma.f64 x x -3) -1/3))
(+.f64 1 (*.f64 -1/3 (pow.f64 x 2)))
(*.f64 (fma.f64 x x -3) -1/3)
(+.f64 (*.f64 -1/3 (pow.f64 x 2)) 1)
(*.f64 (fma.f64 x x -3) -1/3)
(+.f64 1/2 (-.f64 1/2 (*.f64 1/3 (pow.f64 x 2))))
(*.f64 (fma.f64 x x -3) -1/3)
(+.f64 1 (+.f64 0 (*.f64 -1/3 (pow.f64 x 2))))
(*.f64 (fma.f64 x x -3) -1/3)
(+.f64 1/2 (+.f64 1/2 (*.f64 -1/3 (pow.f64 x 2))))
(*.f64 (fma.f64 x x -3) -1/3)
(+.f64 (+.f64 (*.f64 -1/3 (pow.f64 x 2)) 1/2) 1/2)
(*.f64 (fma.f64 x x -3) -1/3)
(+.f64 (fma.f64 -1/3 (pow.f64 x 2) 1) 0)
(*.f64 (fma.f64 x x -3) -1/3)

localize39.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (expm1.f64 (.f64 x -2)) (-.f64 -1 (exp.f64 (.f64 (*.f64 -6 x) 1/3))))
✓	0.0b	(-.f64 -1 (exp.f64 (.f64 (.f64 -6 x) 1/3)))
✓	0.3b	(.f64 (.f64 -6 x) 1/3)

Compiler

Compiled 48 to 39 computations (18.8% saved)

series22.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(/.f64 (expm1.f64 (.f64 x -2)) (-.f64 -1 (exp.f64 (.f64 (*.f64 -6 x) 1/3))))
0.0ms	x	@	inf	(/.f64 (expm1.f64 (.f64 x -2)) (-.f64 -1 (exp.f64 (.f64 (*.f64 -6 x) 1/3))))
0.0ms	x	@	0	(.f64 (.f64 -6 x) 1/3)
0.0ms	x	@	0	(-.f64 -1 (exp.f64 (.f64 (.f64 -6 x) 1/3)))
0.0ms	x	@	0	(/.f64 (expm1.f64 (.f64 x -2)) (-.f64 -1 (exp.f64 (.f64 (*.f64 -6 x) 1/3))))

Compiler

Compiled 1480 to 1220 computations (17.6% saved)

rewrite1.8s (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

113×	`egg-rr`
108×	`egg-rr`
42×	`egg-rr`

Counts

3 → 263

Calls

Call 1

Inputs
(.f64 (.f64 -6 x) 1/3)
(-.f64 -1 (exp.f64 (.f64 (.f64 -6 x) 1/3)))
(/.f64 (expm1.f64 (.f64 x -2)) (-.f64 -1 (exp.f64 (.f64 (*.f64 -6 x) 1/3))))

Outputs

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simplify4.8s (8.2%)

Algorithm

1×

egglog

Counts

299 → 351

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)
-2
(-.f64 (*.f64 2 x) 2)
(-.f64 (+.f64 (.f64 2 x) (.f64 -2 (pow.f64 x 2))) 2)
(-.f64 (+.f64 (.f64 4/3 (pow.f64 x 3)) (+.f64 (.f64 2 x) (*.f64 -2 (pow.f64 x 2)))) 2)
(.f64 -1 (+.f64 1 (exp.f64 (.f64 -2 x))))
(.f64 -1 (+.f64 1 (exp.f64 (.f64 -2 x))))
(.f64 -1 (+.f64 1 (exp.f64 (.f64 -2 x))))
(.f64 -1 (+.f64 1 (exp.f64 (.f64 -2 x))))
(.f64 -1 (+.f64 1 (exp.f64 (.f64 -2 x))))
(.f64 -1 (+.f64 1 (exp.f64 (.f64 -2 x))))
(.f64 -1 (+.f64 1 (exp.f64 (.f64 -2 x))))
(.f64 -1 (+.f64 1 (exp.f64 (.f64 -2 x))))
x
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 2/15 (pow.f64 x 5)) x))
(+.f64 (.f64 -17/315 (pow.f64 x 7)) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(.f64 -1 (/.f64 (-.f64 (exp.f64 (.f64 -2 x)) 1) (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(.f64 -1 (/.f64 (-.f64 (exp.f64 (.f64 -2 x)) 1) (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(.f64 -1 (/.f64 (-.f64 (exp.f64 (.f64 -2 x)) 1) (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(.f64 -1 (/.f64 (-.f64 (exp.f64 (.f64 -2 x)) 1) (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(.f64 -1 (/.f64 (-.f64 (exp.f64 (.f64 -2 x)) 1) (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(.f64 -1 (/.f64 (-.f64 (exp.f64 (.f64 -2 x)) 1) (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(.f64 -1 (/.f64 (-.f64 (exp.f64 (.f64 -2 x)) 1) (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(.f64 -1 (/.f64 (-.f64 (exp.f64 (.f64 -2 x)) 1) (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(.f64 (cbrt.f64 x) (.f64 -2 (cbrt.f64 (pow.f64 x 2))))
(.f64 (cbrt.f64 -2) (.f64 (cbrt.f64 4) x))
(.f64 (cbrt.f64 (.f64 -6 x)) (cbrt.f64 (.f64 (.f64 36 (pow.f64 x 2)) 1/27)))
(.f64 (cbrt.f64 -6) (.f64 (cbrt.f64 36) (*.f64 1/3 x)))
(.f64 (sqrt.f64 1/3) (.f64 (sqrt.f64 1/3) (*.f64 -6 x)))
(.f64 (.f64 (sqrt.f64 1/3) (*.f64 -6 x)) (sqrt.f64 1/3))
(.f64 (.f64 (cbrt.f64 36) (*.f64 1/3 x)) (cbrt.f64 -6))
(.f64 (.f64 -2 (cbrt.f64 (pow.f64 x 2))) (cbrt.f64 x))
(.f64 (.f64 (cbrt.f64 4) x) (cbrt.f64 -2))
(.f64 (cbrt.f64 (.f64 (.f64 36 (pow.f64 x 2)) 1/27)) (cbrt.f64 (.f64 -6 x)))
(.f64 (cbrt.f64 (.f64 -2 x)) (cbrt.f64 (*.f64 4 (pow.f64 x 2))))
(.f64 (cbrt.f64 (pow.f64 x 2)) (.f64 -2 (cbrt.f64 x)))
(.f64 (cbrt.f64 (.f64 4 (pow.f64 x 2))) (cbrt.f64 (*.f64 -2 x)))
(.f64 (cbrt.f64 (.f64 36 (pow.f64 x 2))) (cbrt.f64 (.f64 1/27 (.f64 -6 x))))
(.f64 (.f64 -2 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x 2)))
(.f64 (cbrt.f64 (.f64 1/27 (.f64 -6 x))) (cbrt.f64 (.f64 36 (pow.f64 x 2))))
(.f64 1/3 (.f64 -6 x))
(.f64 -6 (.f64 1/3 x))
(*.f64 -2 x)
(.f64 (.f64 -6 x) 1/3)
(.f64 (.f64 1/3 x) -6)
(*.f64 x -2)
(.f64 (cbrt.f64 1/3) (.f64 (cbrt.f64 1/9) (*.f64 -6 x)))
(.f64 (.f64 (cbrt.f64 1/9) (*.f64 -6 x)) (cbrt.f64 1/3))
(.f64 1 (.f64 -2 x))
(.f64 (cbrt.f64 4) (.f64 x (cbrt.f64 -2)))
(.f64 (cbrt.f64 1/9) (.f64 (*.f64 -6 x) (cbrt.f64 1/3)))
(.f64 -1 (neg.f64 (.f64 -2 x)))
(.f64 (.f64 -2 x) 1)
(.f64 (.f64 x (cbrt.f64 -2)) (cbrt.f64 4))
(.f64 (.f64 (*.f64 -6 x) (cbrt.f64 1/3)) (cbrt.f64 1/9))
(.f64 (neg.f64 (.f64 -2 x)) -1)
(-.f64 0 (neg.f64 (*.f64 -2 x)))
(/.f64 (*.f64 -2 x) 1)
(/.f64 (*.f64 -6 x) 3)
(pow.f64 (*.f64 (pow.f64 x 3) -8) 1/3)
(pow.f64 (*.f64 -2 x) 1)
(pow.f64 (cbrt.f64 (*.f64 -2 x)) 3)
(cbrt.f64 (*.f64 (pow.f64 x 3) -8))
(neg.f64 (neg.f64 (*.f64 -2 x)))
(neg.f64 (pow.f64 (neg.f64 (cbrt.f64 (*.f64 -2 x))) 3))
(if (!=.f64 (.f64 -2 x) 0) (pow.f64 (/.f64 1 (.f64 -2 x)) -1) (*.f64 -2 x))
(*.f64 (-.f64 (+.f64 1 (cbrt.f64 (pow.f64 (exp.f64 x) -4))) (cbrt.f64 (pow.f64 (exp.f64 -2) x))) (-.f64 -1 (cbrt.f64 (pow.f64 (exp.f64 -2) x))))
(.f64 (-.f64 -1 (pow.f64 (exp.f64 -6) x)) (/.f64 -1 (-.f64 (expm1.f64 (.f64 -2 x)) (pow.f64 (exp.f64 x) -4))))
(*.f64 (pow.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) 2/3) (cbrt.f64 (-.f64 -1 (pow.f64 (exp.f64 -2) x))))
(*.f64 (cbrt.f64 (-.f64 -1 (pow.f64 (exp.f64 -2) x))) (pow.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) 2/3))
(.f64 (/.f64 -1 (-.f64 (expm1.f64 (.f64 -2 x)) (pow.f64 (exp.f64 x) -4))) (-.f64 -1 (pow.f64 (exp.f64 -6) x)))
(.f64 (+.f64 0 (+.f64 (pow.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) 2/3) (.f64 0 (cbrt.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))))) (cbrt.f64 (-.f64 -1 (pow.f64 (exp.f64 -2) x))))
(.f64 (+.f64 (pow.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) 2/3) (+.f64 0 (.f64 (cbrt.f64 (-.f64 -1 (pow.f64 (exp.f64 -2) x))) 0))) (-.f64 (cbrt.f64 (-.f64 -1 (pow.f64 (exp.f64 -2) x))) 0))
(.f64 (+.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -4)) (+.f64 1 (.f64 (neg.f64 (cbrt.f64 (pow.f64 (exp.f64 -2) x))) 1))) (-.f64 (neg.f64 (cbrt.f64 (pow.f64 (exp.f64 -2) x))) 1))
(*.f64 1 (-.f64 -1 (pow.f64 (exp.f64 -2) x)))
(*.f64 (+.f64 0 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) 2/3) 0)) (+.f64 0 (cbrt.f64 (-.f64 -1 (pow.f64 (exp.f64 -2) x)))))
(.f64 (+.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -4)) (-.f64 1 (.f64 (neg.f64 (cbrt.f64 (pow.f64 (exp.f64 -2) x))) -1))) (+.f64 (neg.f64 (cbrt.f64 (pow.f64 (exp.f64 -2) x))) -1))
(*.f64 (+.f64 0 (hypot.f64 1 (exp.f64 (neg.f64 x)))) (-.f64 0 (hypot.f64 1 (exp.f64 (neg.f64 x)))))
(.f64 (+.f64 1 (pow.f64 (exp.f64 -6) x)) (/.f64 1 (-.f64 (expm1.f64 (.f64 -2 x)) (pow.f64 (exp.f64 x) -4))))
(*.f64 (-.f64 -1 (pow.f64 (exp.f64 -2) x)) 1)
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(+.f64 0 (/.f64 (expm1.f64 (*.f64 -2 x)) (-.f64 -1 (pow.f64 (exp.f64 -2) 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)
-2
(-.f64 (*.f64 2 x) 2)
(fma.f64 2 x -2)
(-.f64 (+.f64 (.f64 2 x) (.f64 -2 (pow.f64 x 2))) 2)
(-.f64 (*.f64 -2 (+.f64 (pow.f64 x 2) (neg.f64 x))) 2)
(-.f64 (+.f64 (.f64 4/3 (pow.f64 x 3)) (+.f64 (.f64 2 x) (*.f64 -2 (pow.f64 x 2)))) 2)
(-.f64 (fma.f64 4/3 (pow.f64 x 3) (*.f64 -2 (+.f64 (pow.f64 x 2) (neg.f64 x)))) 2)
(.f64 -1 (+.f64 1 (exp.f64 (.f64 -2 x))))
(-.f64 -1 (pow.f64 (exp.f64 -2) x))
(.f64 -1 (+.f64 1 (exp.f64 (.f64 -2 x))))
(-.f64 -1 (pow.f64 (exp.f64 -2) x))
(.f64 -1 (+.f64 1 (exp.f64 (.f64 -2 x))))
(-.f64 -1 (pow.f64 (exp.f64 -2) x))
(.f64 -1 (+.f64 1 (exp.f64 (.f64 -2 x))))
(-.f64 -1 (pow.f64 (exp.f64 -2) x))
(.f64 -1 (+.f64 1 (exp.f64 (.f64 -2 x))))
(-.f64 -1 (pow.f64 (exp.f64 -2) x))
(.f64 -1 (+.f64 1 (exp.f64 (.f64 -2 x))))
(-.f64 -1 (pow.f64 (exp.f64 -2) x))
(.f64 -1 (+.f64 1 (exp.f64 (.f64 -2 x))))
(-.f64 -1 (pow.f64 (exp.f64 -2) x))
(.f64 -1 (+.f64 1 (exp.f64 (.f64 -2 x))))
(-.f64 -1 (pow.f64 (exp.f64 -2) x))
x
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(fma.f64 -1/3 (pow.f64 x 3) x)
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 2/15 (pow.f64 x 5)) x))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))
(+.f64 (.f64 -17/315 (pow.f64 x 7)) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(fma.f64 -17/315 (pow.f64 x 7) (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)))
(.f64 -1 (/.f64 (-.f64 (exp.f64 (.f64 -2 x)) 1) (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(/.f64 (expm1.f64 (*.f64 -2 x)) (-.f64 -1 (pow.f64 (exp.f64 -2) x)))
(.f64 -1 (/.f64 (-.f64 (exp.f64 (.f64 -2 x)) 1) (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(/.f64 (expm1.f64 (*.f64 -2 x)) (-.f64 -1 (pow.f64 (exp.f64 -2) x)))
(.f64 -1 (/.f64 (-.f64 (exp.f64 (.f64 -2 x)) 1) (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(/.f64 (expm1.f64 (*.f64 -2 x)) (-.f64 -1 (pow.f64 (exp.f64 -2) x)))
(.f64 -1 (/.f64 (-.f64 (exp.f64 (.f64 -2 x)) 1) (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(/.f64 (expm1.f64 (*.f64 -2 x)) (-.f64 -1 (pow.f64 (exp.f64 -2) x)))
(.f64 -1 (/.f64 (-.f64 (exp.f64 (.f64 -2 x)) 1) (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(/.f64 (expm1.f64 (*.f64 -2 x)) (-.f64 -1 (pow.f64 (exp.f64 -2) x)))
(.f64 -1 (/.f64 (-.f64 (exp.f64 (.f64 -2 x)) 1) (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(/.f64 (expm1.f64 (*.f64 -2 x)) (-.f64 -1 (pow.f64 (exp.f64 -2) x)))
(.f64 -1 (/.f64 (-.f64 (exp.f64 (.f64 -2 x)) 1) (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(/.f64 (expm1.f64 (*.f64 -2 x)) (-.f64 -1 (pow.f64 (exp.f64 -2) x)))
(.f64 -1 (/.f64 (-.f64 (exp.f64 (.f64 -2 x)) 1) (+.f64 1 (exp.f64 (*.f64 -2 x)))))
(/.f64 (expm1.f64 (*.f64 -2 x)) (-.f64 -1 (pow.f64 (exp.f64 -2) x)))
(.f64 (cbrt.f64 x) (.f64 -2 (cbrt.f64 (pow.f64 x 2))))
(*.f64 -2 x)
(.f64 (cbrt.f64 -2) (.f64 (cbrt.f64 4) x))
(.f64 x (cbrt.f64 (.f64 -2 4)))
(.f64 (cbrt.f64 (.f64 -6 x)) (cbrt.f64 (.f64 (.f64 36 (pow.f64 x 2)) 1/27)))
(cbrt.f64 (.f64 (.f64 (.f64 36 (pow.f64 x 2)) 1/27) (.f64 -6 x)))
(.f64 (cbrt.f64 -6) (.f64 (cbrt.f64 36) (*.f64 1/3 x)))
(.f64 (cbrt.f64 (.f64 -6 36)) (*.f64 1/3 x))
(.f64 (sqrt.f64 1/3) (.f64 (sqrt.f64 1/3) (*.f64 -6 x)))
(*.f64 -2 x)
(.f64 (.f64 (sqrt.f64 1/3) (*.f64 -6 x)) (sqrt.f64 1/3))
(*.f64 -2 x)
(.f64 (.f64 (cbrt.f64 36) (*.f64 1/3 x)) (cbrt.f64 -6))
(.f64 (cbrt.f64 (.f64 -6 36)) (*.f64 1/3 x))
(.f64 (.f64 -2 (cbrt.f64 (pow.f64 x 2))) (cbrt.f64 x))
(*.f64 -2 x)
(.f64 (.f64 (cbrt.f64 4) x) (cbrt.f64 -2))
(.f64 x (cbrt.f64 (.f64 -2 4)))
(.f64 (cbrt.f64 (.f64 (.f64 36 (pow.f64 x 2)) 1/27)) (cbrt.f64 (.f64 -6 x)))
(cbrt.f64 (.f64 (.f64 (.f64 36 (pow.f64 x 2)) 1/27) (.f64 -6 x)))
(.f64 (cbrt.f64 (.f64 -2 x)) (cbrt.f64 (*.f64 4 (pow.f64 x 2))))
(*.f64 -2 x)
(.f64 (cbrt.f64 (pow.f64 x 2)) (.f64 -2 (cbrt.f64 x)))
(*.f64 -2 x)
(.f64 (cbrt.f64 (.f64 4 (pow.f64 x 2))) (cbrt.f64 (*.f64 -2 x)))
(*.f64 -2 x)
(.f64 (cbrt.f64 (.f64 36 (pow.f64 x 2))) (cbrt.f64 (.f64 1/27 (.f64 -6 x))))
(cbrt.f64 (.f64 (.f64 -2/9 x) (*.f64 36 (pow.f64 x 2))))
(.f64 (.f64 -2 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x 2)))
(*.f64 -2 x)
(.f64 (cbrt.f64 (.f64 1/27 (.f64 -6 x))) (cbrt.f64 (.f64 36 (pow.f64 x 2))))
(cbrt.f64 (.f64 (.f64 -2/9 x) (*.f64 36 (pow.f64 x 2))))
(.f64 1/3 (.f64 -6 x))
(*.f64 -2 x)
(.f64 -6 (.f64 1/3 x))
(*.f64 -2 x)
(*.f64 -2 x)
(.f64 (.f64 -6 x) 1/3)
(*.f64 -2 x)
(.f64 (.f64 1/3 x) -6)
(*.f64 -2 x)
(*.f64 x -2)
(*.f64 -2 x)
(.f64 (cbrt.f64 1/3) (.f64 (cbrt.f64 1/9) (*.f64 -6 x)))
(.f64 (.f64 -6 x) (cbrt.f64 (*.f64 1/3 1/9)))
(.f64 (.f64 (cbrt.f64 1/9) (*.f64 -6 x)) (cbrt.f64 1/3))
(.f64 (.f64 -6 x) (cbrt.f64 (*.f64 1/3 1/9)))
(.f64 1 (.f64 -2 x))
(*.f64 -2 x)
(.f64 (cbrt.f64 4) (.f64 x (cbrt.f64 -2)))
(.f64 x (cbrt.f64 (.f64 -2 4)))
(.f64 (cbrt.f64 1/9) (.f64 (*.f64 -6 x) (cbrt.f64 1/3)))
(.f64 (.f64 -6 x) (cbrt.f64 (*.f64 1/3 1/9)))
(.f64 -1 (neg.f64 (.f64 -2 x)))
(*.f64 -2 x)
(.f64 (.f64 -2 x) 1)
(*.f64 -2 x)
(.f64 (.f64 x (cbrt.f64 -2)) (cbrt.f64 4))
(.f64 x (cbrt.f64 (.f64 -2 4)))
(.f64 (.f64 (*.f64 -6 x) (cbrt.f64 1/3)) (cbrt.f64 1/9))
(.f64 (.f64 -6 x) (cbrt.f64 (*.f64 1/3 1/9)))
(.f64 (neg.f64 (.f64 -2 x)) -1)
(*.f64 -2 x)
(-.f64 0 (neg.f64 (*.f64 -2 x)))
(*.f64 -2 x)
(/.f64 (*.f64 -2 x) 1)
(*.f64 -2 x)
(/.f64 (*.f64 -6 x) 3)
(*.f64 -2 x)
(pow.f64 (*.f64 (pow.f64 x 3) -8) 1/3)
(*.f64 x (cbrt.f64 -8))
(pow.f64 (*.f64 -2 x) 1)
(*.f64 -2 x)
(pow.f64 (cbrt.f64 (*.f64 -2 x)) 3)
(*.f64 -2 x)
(cbrt.f64 (*.f64 (pow.f64 x 3) -8))
(*.f64 x (cbrt.f64 -8))
(neg.f64 (neg.f64 (*.f64 -2 x)))
(*.f64 -2 x)
(neg.f64 (pow.f64 (neg.f64 (cbrt.f64 (*.f64 -2 x))) 3))
(*.f64 -2 x)
(if (!=.f64 (.f64 -2 x) 0) (pow.f64 (/.f64 1 (.f64 -2 x)) -1) (*.f64 -2 x))
(if (!=.f64 (.f64 -2 x) 0) (/.f64 1 (/.f64 -1/2 x)) (.f64 -2 x))
(*.f64 (-.f64 (+.f64 1 (cbrt.f64 (pow.f64 (exp.f64 x) -4))) (cbrt.f64 (pow.f64 (exp.f64 -2) x))) (-.f64 -1 (cbrt.f64 (pow.f64 (exp.f64 -2) x))))
(*.f64 (-.f64 1 (-.f64 (cbrt.f64 (pow.f64 (exp.f64 -2) x)) (cbrt.f64 (pow.f64 (exp.f64 -4) x)))) (-.f64 -1 (cbrt.f64 (pow.f64 (exp.f64 -2) x))))
(.f64 (-.f64 -1 (pow.f64 (exp.f64 -6) x)) (/.f64 -1 (-.f64 (expm1.f64 (.f64 -2 x)) (pow.f64 (exp.f64 x) -4))))
(/.f64 (-.f64 (pow.f64 (exp.f64 -6) x) -1) (-.f64 (expm1.f64 (*.f64 -2 x)) (pow.f64 (exp.f64 -4) x)))
(*.f64 (pow.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) 2/3) (cbrt.f64 (-.f64 -1 (pow.f64 (exp.f64 -2) x))))
(.f64 (exp.f64 (.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) 2/3)) (cbrt.f64 (-.f64 -1 (pow.f64 (exp.f64 -2) x))))
(*.f64 (cbrt.f64 (-.f64 -1 (pow.f64 (exp.f64 -2) x))) (pow.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) 2/3))
(.f64 (exp.f64 (.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) 2/3)) (cbrt.f64 (-.f64 -1 (pow.f64 (exp.f64 -2) x))))
(.f64 (/.f64 -1 (-.f64 (expm1.f64 (.f64 -2 x)) (pow.f64 (exp.f64 x) -4))) (-.f64 -1 (pow.f64 (exp.f64 -6) x)))
(/.f64 (-.f64 (pow.f64 (exp.f64 -6) x) -1) (-.f64 (expm1.f64 (*.f64 -2 x)) (pow.f64 (exp.f64 -4) x)))
(.f64 (+.f64 0 (+.f64 (pow.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) 2/3) (.f64 0 (cbrt.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))))) (cbrt.f64 (-.f64 -1 (pow.f64 (exp.f64 -2) x))))
(.f64 (exp.f64 (.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) 2/3)) (cbrt.f64 (-.f64 -1 (pow.f64 (exp.f64 -2) x))))
(.f64 (+.f64 (pow.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) 2/3) (+.f64 0 (.f64 (cbrt.f64 (-.f64 -1 (pow.f64 (exp.f64 -2) x))) 0))) (-.f64 (cbrt.f64 (-.f64 -1 (pow.f64 (exp.f64 -2) x))) 0))
(.f64 (exp.f64 (.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) 2/3)) (cbrt.f64 (-.f64 -1 (pow.f64 (exp.f64 -2) x))))
(.f64 (+.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -4)) (+.f64 1 (.f64 (neg.f64 (cbrt.f64 (pow.f64 (exp.f64 -2) x))) 1))) (-.f64 (neg.f64 (cbrt.f64 (pow.f64 (exp.f64 -2) x))) 1))
(*.f64 (-.f64 1 (-.f64 (cbrt.f64 (pow.f64 (exp.f64 -2) x)) (cbrt.f64 (pow.f64 (exp.f64 -4) x)))) (-.f64 -1 (cbrt.f64 (pow.f64 (exp.f64 -2) x))))
(*.f64 1 (-.f64 -1 (pow.f64 (exp.f64 -2) x)))
(-.f64 -1 (pow.f64 (exp.f64 -2) x))
(*.f64 (+.f64 0 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) 2/3) 0)) (+.f64 0 (cbrt.f64 (-.f64 -1 (pow.f64 (exp.f64 -2) x)))))
(.f64 (exp.f64 (.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) 2/3)) (cbrt.f64 (-.f64 -1 (pow.f64 (exp.f64 -2) x))))
(.f64 (+.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -4)) (-.f64 1 (.f64 (neg.f64 (cbrt.f64 (pow.f64 (exp.f64 -2) x))) -1))) (+.f64 (neg.f64 (cbrt.f64 (pow.f64 (exp.f64 -2) x))) -1))
(*.f64 (-.f64 1 (-.f64 (cbrt.f64 (pow.f64 (exp.f64 -2) x)) (cbrt.f64 (pow.f64 (exp.f64 -4) x)))) (-.f64 -1 (cbrt.f64 (pow.f64 (exp.f64 -2) x))))
(*.f64 (+.f64 0 (hypot.f64 1 (exp.f64 (neg.f64 x)))) (-.f64 0 (hypot.f64 1 (exp.f64 (neg.f64 x)))))
(neg.f64 (pow.f64 (hypot.f64 -1 (exp.f64 (neg.f64 x))) 2))
(.f64 (+.f64 1 (pow.f64 (exp.f64 -6) x)) (/.f64 1 (-.f64 (expm1.f64 (.f64 -2 x)) (pow.f64 (exp.f64 x) -4))))
(/.f64 (-.f64 (pow.f64 (exp.f64 -6) x) -1) (-.f64 (expm1.f64 (*.f64 -2 x)) (pow.f64 (exp.f64 -4) x)))
(*.f64 (-.f64 -1 (pow.f64 (exp.f64 -2) x)) 1)
(-.f64 -1 (pow.f64 (exp.f64 -2) x))
(*.f64 (cbrt.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))) (neg.f64 (pow.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) 2/3)))
(neg.f64 (.f64 (cbrt.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))) (exp.f64 (.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) 2/3))))
(*.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) -1)
(-.f64 -1 (pow.f64 (exp.f64 -2) x))
(*.f64 -1 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(-.f64 -1 (pow.f64 (exp.f64 -2) x))
(-.f64 (/.f64 1 (-.f64 (expm1.f64 (.f64 -2 x)) (pow.f64 (exp.f64 x) -4))) (/.f64 (pow.f64 (exp.f64 -6) x) (-.f64 (pow.f64 (exp.f64 x) -4) (expm1.f64 (.f64 -2 x)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 -6) x) -1) (-.f64 (expm1.f64 (*.f64 -2 x)) (pow.f64 (exp.f64 -4) x)))
(-.f64 (-.f64 (neg.f64 (pow.f64 (exp.f64 -2) x)) 1/2) 1/2)
(-.f64 -1 (pow.f64 (exp.f64 -2) x))
(-.f64 1 (+.f64 1 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))))
(-.f64 -1 (pow.f64 (exp.f64 -2) x))
(-.f64 (/.f64 1 (-.f64 (expm1.f64 (.f64 -2 x)) (pow.f64 (exp.f64 x) -4))) (+.f64 (/.f64 (pow.f64 (exp.f64 -6) x) (-.f64 (pow.f64 (exp.f64 x) -4) (expm1.f64 (.f64 -2 x)))) 0))
(/.f64 (-.f64 (pow.f64 (exp.f64 -6) x) -1) (-.f64 (expm1.f64 (*.f64 -2 x)) (pow.f64 (exp.f64 -4) x)))
(-.f64 1 (-.f64 1 (-.f64 -1 (pow.f64 (exp.f64 -2) x))))
(-.f64 -1 (pow.f64 (exp.f64 -2) x))
(-.f64 (+.f64 0 (/.f64 1 (-.f64 (expm1.f64 (.f64 -2 x)) (pow.f64 (exp.f64 x) -4)))) (/.f64 (pow.f64 (exp.f64 -6) x) (-.f64 (pow.f64 (exp.f64 x) -4) (expm1.f64 (.f64 -2 x)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 -6) x) -1) (-.f64 (expm1.f64 (*.f64 -2 x)) (pow.f64 (exp.f64 -4) x)))
(-.f64 (neg.f64 (pow.f64 (exp.f64 -2) x)) 1)
(-.f64 -1 (pow.f64 (exp.f64 -2) x))
(-.f64 3 (+.f64 3 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))))
(-.f64 -1 (pow.f64 (exp.f64 -2) x))
(-.f64 3 (-.f64 3 (-.f64 -1 (pow.f64 (exp.f64 -2) x))))
(-.f64 -1 (pow.f64 (exp.f64 -2) x))
(-.f64 -1 (pow.f64 (exp.f64 -2) x))
(-.f64 (-.f64 -1 (pow.f64 (exp.f64 -2) x)) 0)
(-.f64 -1 (pow.f64 (exp.f64 -2) x))
(-.f64 0 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(-.f64 -1 (pow.f64 (exp.f64 -2) x))
(/.f64 (.f64 (cbrt.f64 (-.f64 -1 (pow.f64 (exp.f64 -6) x))) (pow.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) 2/3)) (cbrt.f64 (-.f64 (pow.f64 (exp.f64 x) -4) (expm1.f64 (.f64 -2 x)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 -1 (pow.f64 (exp.f64 -6) x))) (exp.f64 (.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) 2/3))) (cbrt.f64 (-.f64 (pow.f64 (exp.f64 -4) x) (expm1.f64 (*.f64 -2 x)))))
(/.f64 (.f64 (pow.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) 2/3) (cbrt.f64 (-.f64 -1 (pow.f64 (exp.f64 -6) x)))) (cbrt.f64 (-.f64 (pow.f64 (exp.f64 x) -4) (expm1.f64 (.f64 -2 x)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 -1 (pow.f64 (exp.f64 -6) x))) (exp.f64 (.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) 2/3))) (cbrt.f64 (-.f64 (pow.f64 (exp.f64 -4) x) (expm1.f64 (*.f64 -2 x)))))
(/.f64 (/.f64 (-.f64 -1 (pow.f64 (exp.f64 -6) x)) (cbrt.f64 (-.f64 (pow.f64 (exp.f64 x) -4) (expm1.f64 (.f64 -2 x))))) (cbrt.f64 (pow.f64 (-.f64 (expm1.f64 (.f64 -2 x)) (pow.f64 (exp.f64 x) -4)) 2)))
(/.f64 (-.f64 -1 (pow.f64 (exp.f64 -6) x)) (cbrt.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 -4) x) (expm1.f64 (*.f64 -2 x))) 3)))
(/.f64 (.f64 (-.f64 -1 (pow.f64 (pow.f64 (exp.f64 -6) x) 3)) (/.f64 -1 (-.f64 (expm1.f64 (.f64 -2 x)) (pow.f64 (exp.f64 x) -4)))) (+.f64 (pow.f64 (exp.f64 x) -12) (neg.f64 (expm1.f64 (*.f64 -6 x)))))
(/.f64 (/.f64 (-.f64 -1 (pow.f64 (pow.f64 (exp.f64 -6) x) 3)) (-.f64 (exp.f64 (.f64 x -12)) (expm1.f64 (.f64 -6 x)))) (-.f64 (pow.f64 (exp.f64 -4) x) (expm1.f64 (*.f64 -2 x))))
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(if (!=.f64 (.f64 (neg.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))) -1) 0) (/.f64 (+.f64 (pow.f64 (.f64 (neg.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))) (pow.f64 (exp.f64 -2) x)) 3) (pow.f64 (.f64 (neg.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))) -1) 3)) (+.f64 (.f64 (.f64 (neg.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))) (pow.f64 (exp.f64 -2) x)) (.f64 (neg.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))) (pow.f64 (exp.f64 -2) x))) (-.f64 (.f64 (.f64 (neg.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))) -1) (.f64 (neg.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))) -1)) (.f64 (.f64 (neg.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))) (pow.f64 (exp.f64 -2) x)) (.f64 (neg.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))) -1))))) (/.f64 (expm1.f64 (*.f64 -2 x)) (-.f64 -1 (pow.f64 (exp.f64 -2) x))))
(if (!=.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 0) (/.f64 (expm1.f64 (.f64 -2 x)) (-.f64 -1 (pow.f64 (exp.f64 -2) x))) (/.f64 (expm1.f64 (.f64 -2 x)) (-.f64 -1 (pow.f64 (exp.f64 -2) x))))
(if (!=.f64 (.f64 (neg.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))) (pow.f64 (exp.f64 -2) x)) 0) (/.f64 (+.f64 (pow.f64 (.f64 (neg.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))) -1) 3) (pow.f64 (.f64 (neg.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))) (pow.f64 (exp.f64 -2) x)) 3)) (+.f64 (.f64 (.f64 (neg.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))) -1) (.f64 (neg.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))) -1)) (-.f64 (.f64 (.f64 (neg.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))) (pow.f64 (exp.f64 -2) x)) (.f64 (neg.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))) (pow.f64 (exp.f64 -2) x))) (.f64 (.f64 (neg.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))) -1) (.f64 (neg.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))) (pow.f64 (exp.f64 -2) x)))))) (/.f64 (expm1.f64 (*.f64 -2 x)) (-.f64 -1 (pow.f64 (exp.f64 -2) x))))
(if (!=.f64 (/.f64 -1 (-.f64 (pow.f64 (pow.f64 (exp.f64 -2) x) -1) -1)) 0) (/.f64 (expm1.f64 (.f64 -2 x)) (-.f64 -1 (pow.f64 (exp.f64 -2) x))) (/.f64 (expm1.f64 (.f64 -2 x)) (-.f64 -1 (pow.f64 (exp.f64 -2) x))))
(if (!=.f64 0 0) (/.f64 (pow.f64 (/.f64 (expm1.f64 (.f64 -2 x)) (-.f64 -1 (pow.f64 (exp.f64 -2) x))) 3) (+.f64 0 (+.f64 (pow.f64 (/.f64 (expm1.f64 (.f64 -2 x)) (exp.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 2) (.f64 0 (/.f64 (expm1.f64 (.f64 -2 x)) (exp.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))))))) (/.f64 (expm1.f64 (*.f64 -2 x)) (-.f64 -1 (pow.f64 (exp.f64 -2) x))))
(if (!=.f64 0 0) (/.f64 (pow.f64 (/.f64 (expm1.f64 (.f64 -2 x)) (exp.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 2) (/.f64 (expm1.f64 (.f64 -2 x)) (-.f64 -1 (pow.f64 (exp.f64 -2) x)))) (/.f64 (expm1.f64 (*.f64 -2 x)) (-.f64 -1 (pow.f64 (exp.f64 -2) x))))
(if (!=.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 -2) x) (-.f64 -1 (pow.f64 (exp.f64 -2) x))) 2) (-.f64 (pow.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) -2) (.f64 (/.f64 (pow.f64 (exp.f64 -2) x) (-.f64 -1 (pow.f64 (exp.f64 -2) x))) (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))))) 0) (/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 -2) x) (-.f64 -1 (pow.f64 (exp.f64 -2) x))) 3) (pow.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) -3)) (+.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 -2) x) (-.f64 -1 (pow.f64 (exp.f64 -2) x))) 2) (-.f64 (pow.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) -2) (.f64 (/.f64 (pow.f64 (exp.f64 -2) x) (-.f64 -1 (pow.f64 (exp.f64 -2) x))) (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))))))) (/.f64 (expm1.f64 (*.f64 -2 x)) (-.f64 -1 (pow.f64 (exp.f64 -2) x))))
(if (!=.f64 (+.f64 (exp.f64 (.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) -2)) (.f64 (.f64 (pow.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 2) (pow.f64 (exp.f64 -2) x)) (exp.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))) 0) (/.f64 (.f64 (neg.f64 (exp.f64 (.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) -3))) (+.f64 -1 (pow.f64 (pow.f64 (exp.f64 -2) x) 3))) (+.f64 (exp.f64 (.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) -2)) (.f64 (.f64 (pow.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))) 2) (pow.f64 (exp.f64 -2) x)) (exp.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))))) (/.f64 (expm1.f64 (*.f64 -2 x)) (-.f64 -1 (pow.f64 (exp.f64 -2) x))))
(+.f64 (.f64 (neg.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))) (pow.f64 (exp.f64 -2) x)) (.f64 (neg.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))) -1))
(/.f64 (expm1.f64 (*.f64 -2 x)) (-.f64 -1 (pow.f64 (exp.f64 -2) x)))
(+.f64 (.f64 (neg.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))) -1) (.f64 (neg.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))) (pow.f64 (exp.f64 -2) x)))
(/.f64 (expm1.f64 (*.f64 -2 x)) (-.f64 -1 (pow.f64 (exp.f64 -2) x)))
(+.f64 (/.f64 (pow.f64 (exp.f64 -2) x) (-.f64 -1 (pow.f64 (exp.f64 -2) x))) (*.f64 (neg.f64 (cbrt.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))))) (/.f64 -1 (pow.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) 2/3))))
(+.f64 (/.f64 -1 (-.f64 (pow.f64 (pow.f64 (exp.f64 -2) x) -1) -1)) (.f64 (cbrt.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))) (exp.f64 (.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) -2/3))))
(+.f64 (/.f64 (pow.f64 (exp.f64 -2) x) (-.f64 -1 (pow.f64 (exp.f64 -2) x))) (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))))
(/.f64 (expm1.f64 (*.f64 -2 x)) (-.f64 -1 (pow.f64 (exp.f64 -2) x)))
(+.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))) (/.f64 (pow.f64 (exp.f64 -2) x) (-.f64 -1 (pow.f64 (exp.f64 -2) x))))
(/.f64 (expm1.f64 (*.f64 -2 x)) (-.f64 -1 (pow.f64 (exp.f64 -2) x)))
(+.f64 (*.f64 (neg.f64 (cbrt.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))))) (/.f64 -1 (pow.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))) 2/3))) (/.f64 (pow.f64 (exp.f64 -2) x) (-.f64 -1 (pow.f64 (exp.f64 -2) x))))
(+.f64 (/.f64 -1 (-.f64 (pow.f64 (pow.f64 (exp.f64 -2) x) -1) -1)) (.f64 (cbrt.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x))))) (exp.f64 (.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)) -2/3))))
(+.f64 (-.f64 0 (exp.f64 (-.f64 (*.f64 -2 x) (log1p.f64 (pow.f64 (exp.f64 -2) x))))) (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 -2) x)))))
(/.f64 (expm1.f64 (*.f64 -2 x)) (-.f64 -1 (pow.f64 (exp.f64 -2) x)))
(+.f64 0 (/.f64 (expm1.f64 (*.f64 -2 x)) (-.f64 -1 (pow.f64 (exp.f64 -2) x))))
(/.f64 (expm1.f64 (*.f64 -2 x)) (-.f64 -1 (pow.f64 (exp.f64 -2) x)))

eval460.0ms (0.8%)

Compiler: Compiled 19323 to 16118 computations (16.6% saved)

prune95.0ms (0.2%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	622	1	623
Fresh	0	1	1
Picked	0	1	1
Done	1	3	4
Total	623	6	629

Error

Counts

629 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 (expm1.f64 (.f64 x -2)) (-.f64 -1 (exp.f64 (.f64 (*.f64 -6 x) 1/3))))
✓	0.0b	(/.f64 (expm1.f64 (.f64 x -2)) (-.f64 -1 (exp.f64 (.f64 -2 x))))
✓	2.9b	(/.f64 (expm1.f64 (*.f64 x -2)) -2)
✓	2.2b	(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
▶	2.2b	(.f64 (+.f64 1 (.f64 (*.f64 -1/3 x) x)) x)
	2.2b	x

Compiler

Compiled 53 to 42 computations (20.8% saved)

localize11.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1 (.f64 (.f64 -1/3 x) x))
✓	0.0b	(.f64 (+.f64 1 (.f64 (*.f64 -1/3 x) x)) x)
✓	0.1b	(.f64 (.f64 -1/3 x) x)
✓	0.3b	(*.f64 -1/3 x)

Compiler

Compiled 28 to 19 computations (32.1% saved)

series16.0ms (0%)

Counts

4 → 18

Calls

12 calls:

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

Compiler

Compiled 1290 to 1070 computations (17.1% saved)

rewrite1.8s (3%)

Algorithm

1×	batch-egg-rewrite

Rules

85×	`egg-rr`
61×	`egg-rr`
45×	`egg-rr`
34×	`egg-rr`

Counts

4 → 225

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 -1/3 x)) (cbrt.f64 (.f64 (pow.f64 x 2) 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (pow.f64 x 2) 1/9)) (cbrt.f64 (.f64 -1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 x) (.f64 -1/3 (cbrt.f64 (pow.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 -1/3 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 -1/3 (cbrt.f64 (pow.f64 x 2))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 x 2)) (.f64 -1/3 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 -1/3) (.f64 (cbrt.f64 1/9) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x (cbrt.f64 -1/3)) (cbrt.f64 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1/3 x)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 -1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 -1/3 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 1/9) x) (cbrt.f64 -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 1/9) (.f64 x (cbrt.f64 -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1/3 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 -1/3 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x -3)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cbrt.f64 1/9) x) (pow.f64 -1/3 -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 x 3) -1/27) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 -1/3 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 -1/3 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 x 3) -1/27))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (.f64 1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (.f64 (pow.f64 x 3) -1/27) 0) (pow.f64 (pow.f64 (.f64 (pow.f64 x 3) -1/27) -1/3) -1) (.f64 -1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (.f64 -1/3 (cbrt.f64 (pow.f64 x 2))) 0) (/.f64 (cbrt.f64 x) (/.f64 1 (.f64 -1/3 (cbrt.f64 (pow.f64 x 2))))) (.f64 -1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (.f64 -1/3 x) 0) (pow.f64 (/.f64 -3 x) -1) (.f64 -1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (cbrt.f64 (.f64 (pow.f64 x 2) 1/9)) 0) (/.f64 (cbrt.f64 (.f64 -1/3 x)) (/.f64 1 (cbrt.f64 (.f64 (pow.f64 x 2) 1/9)))) (.f64 -1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 -1/3 0) (.f64 -1/3 x) (.f64 -1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (cbrt.f64 (.f64 -1/3 x)) 0) (/.f64 (cbrt.f64 (.f64 (pow.f64 x 2) 1/9)) (cbrt.f64 (/.f64 -3 x))) (.f64 -1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 x 0) (/.f64 -1/3 (pow.f64 x -1)) (.f64 -1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (.f64 (cbrt.f64 1/9) x) 0) (/.f64 (cbrt.f64 -1/3) (/.f64 1 (.f64 (cbrt.f64 1/9) x))) (.f64 -1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (cbrt.f64 (pow.f64 x 2)) 0) (/.f64 (.f64 -1/3 (cbrt.f64 x)) (cbrt.f64 (pow.f64 (pow.f64 x -1) 2))) (.f64 -1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (cbrt.f64 1/9) 0) (/.f64 (.f64 x (cbrt.f64 -1/3)) (pow.f64 1/9 -1/3)) (.f64 -1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 1 0) (.f64 -1/3 x) (*.f64 -1/3 x))))))
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(.f64 -1/3 x) x -1) 0) (/.f64 (fma.f64 1/9 (pow.f64 (pow.f64 x 2) 2) -1) (fma.f64 (.f64 -1/3 x) x -1)) (fma.f64 x (.f64 -1/3 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (.f64 (pow.f64 x 2) -1/3) 0) (.f64 (.f64 (pow.f64 x 2) -1/3) (+.f64 1 (/.f64 -3 (pow.f64 x 2)))) (fma.f64 x (.f64 -1/3 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (pow.f64 (fma.f64 x (.f64 -1/3 x) 1) 3) 0) (pow.f64 (pow.f64 (pow.f64 (fma.f64 x (.f64 -1/3 x) 1) 3) -1/3) -1) (fma.f64 x (.f64 -1/3 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/27 (pow.f64 (pow.f64 x 3) 2) 1) 2)) 0) (/.f64 (cbrt.f64 (fma.f64 -1/27 (pow.f64 (pow.f64 x 3) 2) 1)) (/.f64 (-.f64 1 (.f64 (pow.f64 x 2) (-.f64 -1/3 (.f64 (pow.f64 x 2) 1/9)))) (cbrt.f64 (pow.f64 (fma.f64 -1/27 (pow.f64 (pow.f64 x 3) 2) 1) 2)))) (fma.f64 x (.f64 -1/3 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (fma.f64 -1/27 (pow.f64 (pow.f64 x 3) 2) 1) 0) (pow.f64 (/.f64 (-.f64 1 (.f64 (pow.f64 x 2) (-.f64 -1/3 (.f64 (pow.f64 x 2) 1/9)))) (fma.f64 -1/27 (pow.f64 (pow.f64 x 3) 2) 1)) -1) (fma.f64 x (.f64 -1/3 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (fma.f64 x (.f64 -1/3 x) 1) 0) (/.f64 (-.f64 1 (.f64 (pow.f64 x 2) (-.f64 -1/3 (.f64 (pow.f64 x 2) 1/9)))) (/.f64 (-.f64 1 (.f64 (pow.f64 x 2) (-.f64 -1/3 (.f64 (pow.f64 x 2) 1/9)))) (fma.f64 x (.f64 -1/3 x) 1))) (fma.f64 x (.f64 -1/3 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 (pow.f64 (.f64 (pow.f64 x 2) (-.f64 (.f64 (pow.f64 x 2) 1/9) -1/3)) 2) (-.f64 1 (.f64 (pow.f64 x 2) (-.f64 (.f64 (pow.f64 x 2) 1/9) -1/3)))) 0) (.f64 (/.f64 (fma.f64 -1/27 (pow.f64 (pow.f64 x 3) 2) 1) (+.f64 1 (pow.f64 (.f64 (pow.f64 x 2) (-.f64 (.f64 (pow.f64 x 2) 1/9) -1/3)) 3))) (+.f64 (pow.f64 (.f64 (pow.f64 x 2) (-.f64 (.f64 (pow.f64 x 2) 1/9) -1/3)) 2) (-.f64 1 (.f64 (pow.f64 x 2) (-.f64 (.f64 (pow.f64 x 2) 1/9) -1/3))))) (fma.f64 x (.f64 -1/3 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 1 0) (fma.f64 x (.f64 -1/3 x) 1) (fma.f64 x (.f64 -1/3 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (fma.f64 x (.f64 -1/3 x) 1) 0) (/.f64 1 (pow.f64 (fma.f64 x (.f64 -1/3 x) 1) -1)) (fma.f64 x (.f64 -1/3 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (.f64 (.f64 1/3 x) x) 0) (fma.f64 x (.f64 -1/3 x) 1) (fma.f64 x (.f64 -1/3 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (.f64 (pow.f64 x 2) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (pow.f64 x 2) -1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1/2 (-.f64 1/2 (.f64 (.f64 1/3 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 0 (.f64 (pow.f64 x 2) -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1/2 (+.f64 1/2 (.f64 (pow.f64 x 2) -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 (pow.f64 x 2) -1/3) 1/2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (.f64 -1/3 x) 1) 0)))))

simplify6.3s (10.9%)

Algorithm

1×

egglog

Counts

243 → 311

Calls

Call 1

Inputs
(*.f64 -1/3 (pow.f64 x 2))
(*.f64 -1/3 (pow.f64 x 2))
(*.f64 -1/3 (pow.f64 x 2))
(*.f64 -1/3 (pow.f64 x 2))
x
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(+.f64 x (*.f64 -1/3 (pow.f64 (/.f64 1 x) -3)))
(+.f64 x (*.f64 -1/3 (pow.f64 (/.f64 1 x) -3)))
(+.f64 x (*.f64 -1/3 (pow.f64 (/.f64 1 x) -3)))
(+.f64 (*.f64 1/3 (pow.f64 (/.f64 -1 x) -3)) x)
(+.f64 (*.f64 1/3 (pow.f64 (/.f64 -1 x) -3)) x)
(+.f64 (*.f64 1/3 (pow.f64 (/.f64 -1 x) -3)) x)
1
(+.f64 (*.f64 -1/3 (pow.f64 x 2)) 1)
(+.f64 (*.f64 -1/3 (pow.f64 x 2)) 1)
(+.f64 (*.f64 -1/3 (pow.f64 x 2)) 1)
(.f64 (cbrt.f64 (.f64 -1/3 x)) (cbrt.f64 (*.f64 (pow.f64 x 2) 1/9)))
(.f64 (cbrt.f64 (.f64 (pow.f64 x 2) 1/9)) (cbrt.f64 (*.f64 -1/3 x)))
(.f64 (cbrt.f64 x) (.f64 -1/3 (cbrt.f64 (pow.f64 x 2))))
(.f64 (.f64 -1/3 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x 2)))
(.f64 (.f64 -1/3 (cbrt.f64 (pow.f64 x 2))) (cbrt.f64 x))
(.f64 (cbrt.f64 (pow.f64 x 2)) (.f64 -1/3 (cbrt.f64 x)))
(.f64 (cbrt.f64 -1/3) (.f64 (cbrt.f64 1/9) x))
(.f64 (.f64 x (cbrt.f64 -1/3)) (cbrt.f64 1/9))
(*.f64 -1/3 x)
(*.f64 x -1/3)
(.f64 1 (.f64 -1/3 x))
(.f64 (.f64 -1/3 x) 1)
(.f64 (.f64 (cbrt.f64 1/9) x) (cbrt.f64 -1/3))
(.f64 (cbrt.f64 1/9) (.f64 x (cbrt.f64 -1/3)))
(/.f64 (*.f64 1/3 x) -1)
(/.f64 (*.f64 -1/3 x) 1)
(/.f64 x -3)
(/.f64 (*.f64 (cbrt.f64 1/9) x) (pow.f64 -1/3 -1/3))
(pow.f64 (*.f64 (pow.f64 x 3) -1/27) 1/3)
(pow.f64 (*.f64 -1/3 x) 1)
(pow.f64 (cbrt.f64 (*.f64 -1/3 x)) 3)
(cbrt.f64 (*.f64 (pow.f64 x 3) -1/27))
(neg.f64 (*.f64 1/3 x))
(if (!=.f64 (.f64 (pow.f64 x 3) -1/27) 0) (pow.f64 (pow.f64 (.f64 (pow.f64 x 3) -1/27) -1/3) -1) (*.f64 -1/3 x))
(if (!=.f64 (.f64 -1/3 (cbrt.f64 (pow.f64 x 2))) 0) (/.f64 (cbrt.f64 x) (/.f64 1 (.f64 -1/3 (cbrt.f64 (pow.f64 x 2))))) (*.f64 -1/3 x))
(if (!=.f64 (.f64 -1/3 x) 0) (pow.f64 (/.f64 -3 x) -1) (.f64 -1/3 x))
(if (!=.f64 (cbrt.f64 (.f64 (pow.f64 x 2) 1/9)) 0) (/.f64 (cbrt.f64 (.f64 -1/3 x)) (/.f64 1 (cbrt.f64 (.f64 (pow.f64 x 2) 1/9)))) (.f64 -1/3 x))
(if (!=.f64 -1/3 0) (.f64 -1/3 x) (.f64 -1/3 x))
(if (!=.f64 (cbrt.f64 (.f64 -1/3 x)) 0) (/.f64 (cbrt.f64 (.f64 (pow.f64 x 2) 1/9)) (cbrt.f64 (/.f64 -3 x))) (*.f64 -1/3 x))
(if (!=.f64 x 0) (/.f64 -1/3 (pow.f64 x -1)) (*.f64 -1/3 x))
(if (!=.f64 (.f64 (cbrt.f64 1/9) x) 0) (/.f64 (cbrt.f64 -1/3) (/.f64 1 (.f64 (cbrt.f64 1/9) x))) (*.f64 -1/3 x))
(if (!=.f64 (cbrt.f64 (pow.f64 x 2)) 0) (/.f64 (.f64 -1/3 (cbrt.f64 x)) (cbrt.f64 (pow.f64 (pow.f64 x -1) 2))) (.f64 -1/3 x))
(if (!=.f64 (cbrt.f64 1/9) 0) (/.f64 (.f64 x (cbrt.f64 -1/3)) (pow.f64 1/9 -1/3)) (.f64 -1/3 x))
(if (!=.f64 1 0) (.f64 -1/3 x) (.f64 -1/3 x))
(.f64 (.f64 -1/3 x) x)
(.f64 x (.f64 -1/3 x))
(.f64 (.f64 x (cbrt.f64 (.f64 -1/3 x))) (cbrt.f64 (.f64 (pow.f64 x 2) 1/9)))
(.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (pow.f64 x 2)) (*.f64 -1/3 x)))
(.f64 (cbrt.f64 (.f64 -1/3 x)) (.f64 (cbrt.f64 (.f64 (pow.f64 x 2) 1/9)) x))
(.f64 (cbrt.f64 -1/3) (.f64 (pow.f64 x 2) (cbrt.f64 1/9)))
(.f64 (.f64 (*.f64 -1/3 x) (cbrt.f64 x)) (cbrt.f64 (pow.f64 x 2)))
(.f64 1 (.f64 (pow.f64 x 2) -1/3))
(.f64 (.f64 (pow.f64 x 2) -1/3) 1)
(.f64 (cbrt.f64 (.f64 (pow.f64 x 2) 1/9)) (.f64 x (cbrt.f64 (.f64 -1/3 x))))
(.f64 (.f64 (cbrt.f64 (.f64 (pow.f64 x 2) 1/9)) x) (cbrt.f64 (.f64 -1/3 x)))
(.f64 (.f64 (cbrt.f64 (pow.f64 x 2)) (*.f64 -1/3 x)) (cbrt.f64 x))
(.f64 (cbrt.f64 (pow.f64 x 2)) (.f64 (*.f64 -1/3 x) (cbrt.f64 x)))
(.f64 (.f64 (pow.f64 x 2) (cbrt.f64 1/9)) (cbrt.f64 -1/3))
(.f64 -1 (.f64 (*.f64 1/3 x) x))
(.f64 (.f64 (*.f64 1/3 x) x) -1)
(*.f64 (pow.f64 x 2) -1/3)
(.f64 (cbrt.f64 (.f64 1/9 (pow.f64 (pow.f64 x 2) 2))) (cbrt.f64 (*.f64 (pow.f64 x 2) -1/3)))
(*.f64 -1/3 (pow.f64 x 2))
(.f64 (cbrt.f64 (.f64 (pow.f64 x 2) -1/3)) (cbrt.f64 (*.f64 1/9 (pow.f64 (pow.f64 x 2) 2))))
(-.f64 0 (.f64 (.f64 1/3 x) x))
(/.f64 (*.f64 (pow.f64 x 2) -1/3) 1)
(/.f64 (.f64 (.f64 1/3 x) x) -1)
(/.f64 (*.f64 (pow.f64 x 2) (cbrt.f64 1/9)) (pow.f64 -1/3 -1/3))
(/.f64 (pow.f64 x 2) -3)
(/.f64 (neg.f64 (pow.f64 x 2)) 3)
(pow.f64 (*.f64 (pow.f64 x 2) -1/3) 1)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 2) -1/3)) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 x 2) -1/3) 3) 1/3)
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 2) -1/3) 3))
(neg.f64 (.f64 (.f64 1/3 x) x))
(if (!=.f64 x 0) (/.f64 x (/.f64 -3 x)) (*.f64 (pow.f64 x 2) -1/3))
(if (!=.f64 (.f64 (pow.f64 x 2) -1/3) 0) (/.f64 -1/3 (pow.f64 (pow.f64 x -1) 2)) (.f64 (pow.f64 x 2) -1/3))
(if (!=.f64 (cbrt.f64 (.f64 1/9 (pow.f64 (pow.f64 x 2) 2))) 0) (cbrt.f64 (/.f64 (.f64 (pow.f64 x 2) -1/3) (pow.f64 (/.f64 -3 (pow.f64 x 2)) 2))) (*.f64 (pow.f64 x 2) -1/3))
(if (!=.f64 (.f64 -1/3 x) 0) (/.f64 x (/.f64 -3 x)) (.f64 (pow.f64 x 2) -1/3))
(if (!=.f64 (pow.f64 x 2) 0) (/.f64 -1/3 (pow.f64 (pow.f64 x -1) 2)) (*.f64 (pow.f64 x 2) -1/3))
(if (!=.f64 (pow.f64 (.f64 (pow.f64 x 2) -1/3) 3) 0) (/.f64 1 (pow.f64 (pow.f64 (.f64 (pow.f64 x 2) -1/3) 3) -1/3)) (*.f64 (pow.f64 x 2) -1/3))
(if (!=.f64 (.f64 (pow.f64 x 2) (cbrt.f64 1/9)) 0) (/.f64 (cbrt.f64 -1/3) (/.f64 1 (.f64 (pow.f64 x 2) (cbrt.f64 1/9)))) (*.f64 (pow.f64 x 2) -1/3))
(if (!=.f64 (cbrt.f64 (.f64 (pow.f64 x 2) 1/9)) 0) (/.f64 (.f64 x (cbrt.f64 (.f64 -1/3 x))) (/.f64 1 (cbrt.f64 (.f64 (pow.f64 x 2) 1/9)))) (*.f64 (pow.f64 x 2) -1/3))
(if (!=.f64 (cbrt.f64 (.f64 (pow.f64 x 2) -1/3)) 0) (/.f64 (cbrt.f64 (.f64 1/9 (pow.f64 (pow.f64 x 2) 2))) (cbrt.f64 (/.f64 -3 (pow.f64 x 2)))) (*.f64 (pow.f64 x 2) -1/3))
(if (!=.f64 (.f64 (cbrt.f64 (.f64 (pow.f64 x 2) 1/9)) x) 0) (/.f64 (cbrt.f64 (.f64 -1/3 x)) (/.f64 1 (.f64 (cbrt.f64 (.f64 (pow.f64 x 2) 1/9)) x))) (.f64 (pow.f64 x 2) -1/3))
(if (!=.f64 (.f64 (cbrt.f64 (pow.f64 x 2)) (.f64 -1/3 x)) 0) (/.f64 (cbrt.f64 x) (/.f64 1 (.f64 (cbrt.f64 (pow.f64 x 2)) (.f64 -1/3 x)))) (*.f64 (pow.f64 x 2) -1/3))
(if (!=.f64 -1/3 0) (.f64 (pow.f64 x 2) -1/3) (.f64 (pow.f64 x 2) -1/3))
(if (!=.f64 (cbrt.f64 (pow.f64 x 2)) 0) (/.f64 (.f64 (.f64 -1/3 x) (cbrt.f64 x)) (cbrt.f64 (pow.f64 (pow.f64 x -1) 2))) (*.f64 (pow.f64 x 2) -1/3))
(if (!=.f64 1 0) (.f64 (pow.f64 x 2) -1/3) (.f64 (pow.f64 x 2) -1/3))
(.f64 (cbrt.f64 (fma.f64 x (.f64 -1/3 x) 1)) (.f64 (cbrt.f64 (pow.f64 (fma.f64 x (.f64 -1/3 x) 1) 2)) x))
(.f64 (cbrt.f64 x) (.f64 (fma.f64 x (*.f64 -1/3 x) 1) (cbrt.f64 (pow.f64 x 2))))
(.f64 (.f64 (fma.f64 x (*.f64 -1/3 x) 1) (cbrt.f64 x)) (cbrt.f64 (pow.f64 x 2)))
(.f64 (.f64 (cbrt.f64 (pow.f64 (fma.f64 x (.f64 -1/3 x) 1) 2)) x) (cbrt.f64 (fma.f64 x (.f64 -1/3 x) 1)))
(.f64 (.f64 (fma.f64 x (*.f64 -1/3 x) 1) (cbrt.f64 (pow.f64 x 2))) (cbrt.f64 x))
(.f64 (cbrt.f64 (pow.f64 x 2)) (.f64 (fma.f64 x (*.f64 -1/3 x) 1) (cbrt.f64 x)))
(.f64 (/.f64 x (cbrt.f64 (-.f64 1 (.f64 (pow.f64 x 2) (-.f64 -1/3 (.f64 (pow.f64 x 2) 1/9)))))) (/.f64 (fma.f64 -1/27 (pow.f64 (pow.f64 x 3) 2) 1) (cbrt.f64 (pow.f64 (-.f64 1 (.f64 (pow.f64 x 2) (-.f64 -1/3 (*.f64 (pow.f64 x 2) 1/9)))) 2))))
(.f64 (/.f64 (fma.f64 -1/27 (pow.f64 (pow.f64 x 3) 2) 1) (cbrt.f64 (-.f64 1 (.f64 (pow.f64 x 2) (-.f64 -1/3 (.f64 (pow.f64 x 2) 1/9)))))) (/.f64 x (cbrt.f64 (pow.f64 (-.f64 1 (.f64 (pow.f64 x 2) (-.f64 -1/3 (*.f64 (pow.f64 x 2) 1/9)))) 2))))
(.f64 (cbrt.f64 (fma.f64 x (.f64 (pow.f64 x 2) -1/3) x)) (cbrt.f64 (pow.f64 (fma.f64 x (*.f64 (pow.f64 x 2) -1/3) x) 2)))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 x (.f64 (pow.f64 x 2) -1/3) x) 2)) (cbrt.f64 (fma.f64 x (*.f64 (pow.f64 x 2) -1/3) x)))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 x (.f64 -1/3 x) 1) 2)) (.f64 x (cbrt.f64 (fma.f64 x (.f64 -1/3 x) 1))))
(.f64 (.f64 x (cbrt.f64 (fma.f64 x (.f64 -1/3 x) 1))) (cbrt.f64 (pow.f64 (fma.f64 x (.f64 -1/3 x) 1) 2)))
(.f64 1 (fma.f64 x (.f64 (pow.f64 x 2) -1/3) x))
(.f64 (fma.f64 x (.f64 (pow.f64 x 2) -1/3) x) 1)
(.f64 (.f64 (fma.f64 -1/27 (pow.f64 (pow.f64 x 3) 2) 1) x) (/.f64 1 (-.f64 1 (.f64 (pow.f64 x 2) (-.f64 -1/3 (.f64 (pow.f64 x 2) 1/9))))))
(.f64 (fma.f64 x (.f64 -1/3 x) 1) x)
(.f64 (fma.f64 -1/27 (pow.f64 (pow.f64 x 3) 2) 1) (/.f64 x (-.f64 1 (.f64 (pow.f64 x 2) (-.f64 -1/3 (*.f64 (pow.f64 x 2) 1/9))))))
(.f64 x (fma.f64 x (.f64 -1/3 x) 1))
(/.f64 (.f64 (fma.f64 -1/27 (pow.f64 (pow.f64 x 3) 2) 1) x) (-.f64 1 (.f64 (pow.f64 x 2) (-.f64 -1/3 (*.f64 (pow.f64 x 2) 1/9)))))
(/.f64 (.f64 (cbrt.f64 (fma.f64 -1/27 (pow.f64 (pow.f64 x 3) 2) 1)) (.f64 (cbrt.f64 (pow.f64 (fma.f64 x (.f64 -1/3 x) 1) 2)) x)) (cbrt.f64 (-.f64 1 (.f64 (pow.f64 x 2) (-.f64 -1/3 (*.f64 (pow.f64 x 2) 1/9))))))
(/.f64 (fma.f64 x (*.f64 (pow.f64 x 2) -1/3) x) 1)
(/.f64 (pow.f64 (.f64 (cbrt.f64 (fma.f64 -1/27 (pow.f64 (pow.f64 x 3) 2) 1)) (cbrt.f64 x)) 3) (-.f64 1 (.f64 (pow.f64 x 2) (-.f64 -1/3 (*.f64 (pow.f64 x 2) 1/9)))))
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(if (!=.f64 (pow.f64 (fma.f64 x (.f64 -1/3 x) 1) 3) 0) (pow.f64 (pow.f64 (pow.f64 (fma.f64 x (.f64 -1/3 x) 1) 3) -1/3) -1) (fma.f64 x (*.f64 -1/3 x) 1))
(if (!=.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/27 (pow.f64 (pow.f64 x 3) 2) 1) 2)) 0) (/.f64 (cbrt.f64 (fma.f64 -1/27 (pow.f64 (pow.f64 x 3) 2) 1)) (/.f64 (-.f64 1 (.f64 (pow.f64 x 2) (-.f64 -1/3 (.f64 (pow.f64 x 2) 1/9)))) (cbrt.f64 (pow.f64 (fma.f64 -1/27 (pow.f64 (pow.f64 x 3) 2) 1) 2)))) (fma.f64 x (*.f64 -1/3 x) 1))
(if (!=.f64 (fma.f64 -1/27 (pow.f64 (pow.f64 x 3) 2) 1) 0) (pow.f64 (/.f64 (-.f64 1 (.f64 (pow.f64 x 2) (-.f64 -1/3 (.f64 (pow.f64 x 2) 1/9)))) (fma.f64 -1/27 (pow.f64 (pow.f64 x 3) 2) 1)) -1) (fma.f64 x (*.f64 -1/3 x) 1))
(if (!=.f64 (fma.f64 x (.f64 -1/3 x) 1) 0) (/.f64 (-.f64 1 (.f64 (pow.f64 x 2) (-.f64 -1/3 (.f64 (pow.f64 x 2) 1/9)))) (/.f64 (-.f64 1 (.f64 (pow.f64 x 2) (-.f64 -1/3 (.f64 (pow.f64 x 2) 1/9)))) (fma.f64 x (.f64 -1/3 x) 1))) (fma.f64 x (*.f64 -1/3 x) 1))
(if (!=.f64 (+.f64 (pow.f64 (.f64 (pow.f64 x 2) (-.f64 (.f64 (pow.f64 x 2) 1/9) -1/3)) 2) (-.f64 1 (.f64 (pow.f64 x 2) (-.f64 (.f64 (pow.f64 x 2) 1/9) -1/3)))) 0) (.f64 (/.f64 (fma.f64 -1/27 (pow.f64 (pow.f64 x 3) 2) 1) (+.f64 1 (pow.f64 (.f64 (pow.f64 x 2) (-.f64 (.f64 (pow.f64 x 2) 1/9) -1/3)) 3))) (+.f64 (pow.f64 (.f64 (pow.f64 x 2) (-.f64 (.f64 (pow.f64 x 2) 1/9) -1/3)) 2) (-.f64 1 (.f64 (pow.f64 x 2) (-.f64 (.f64 (pow.f64 x 2) 1/9) -1/3))))) (fma.f64 x (.f64 -1/3 x) 1))
(if (!=.f64 1 0) (fma.f64 x (.f64 -1/3 x) 1) (fma.f64 x (.f64 -1/3 x) 1))
(if (!=.f64 (fma.f64 x (.f64 -1/3 x) 1) 0) (/.f64 1 (pow.f64 (fma.f64 x (.f64 -1/3 x) 1) -1)) (fma.f64 x (*.f64 -1/3 x) 1))
(if (!=.f64 (.f64 (.f64 1/3 x) x) 0) (fma.f64 x (.f64 -1/3 x) 1) (fma.f64 x (.f64 -1/3 x) 1))
(+.f64 1 (*.f64 (pow.f64 x 2) -1/3))
(+.f64 (*.f64 (pow.f64 x 2) -1/3) 1)
(+.f64 1/2 (-.f64 1/2 (.f64 (.f64 1/3 x) x)))
(+.f64 1 (+.f64 0 (*.f64 (pow.f64 x 2) -1/3)))
(+.f64 1/2 (+.f64 1/2 (*.f64 (pow.f64 x 2) -1/3)))
(+.f64 (+.f64 (*.f64 (pow.f64 x 2) -1/3) 1/2) 1/2)
(+.f64 (fma.f64 x (*.f64 -1/3 x) 1) 0)

Outputs
(*.f64 -1/3 (pow.f64 x 2))
(.f64 x (.f64 x -1/3))
(*.f64 -1/3 (pow.f64 x 2))
(.f64 x (.f64 x -1/3))
(*.f64 -1/3 (pow.f64 x 2))
(.f64 x (.f64 x -1/3))
(*.f64 -1/3 (pow.f64 x 2))
(.f64 x (.f64 x -1/3))
x
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(fma.f64 -1/3 (pow.f64 x 3) x)
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(fma.f64 -1/3 (pow.f64 x 3) x)
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(fma.f64 -1/3 (pow.f64 x 3) x)
(+.f64 x (*.f64 -1/3 (pow.f64 (/.f64 1 x) -3)))
(+.f64 x (*.f64 -1/3 (pow.f64 (pow.f64 x -1) -3)))
(+.f64 x (*.f64 -1/3 (pow.f64 (/.f64 1 x) -3)))
(+.f64 x (*.f64 -1/3 (pow.f64 (pow.f64 x -1) -3)))
(+.f64 x (*.f64 -1/3 (pow.f64 (/.f64 1 x) -3)))
(+.f64 x (*.f64 -1/3 (pow.f64 (pow.f64 x -1) -3)))
(+.f64 (*.f64 1/3 (pow.f64 (/.f64 -1 x) -3)) x)
(fma.f64 1/3 (pow.f64 (/.f64 -1 x) -3) x)
(+.f64 (*.f64 1/3 (pow.f64 (/.f64 -1 x) -3)) x)
(fma.f64 1/3 (pow.f64 (/.f64 -1 x) -3) x)
(+.f64 (*.f64 1/3 (pow.f64 (/.f64 -1 x) -3)) x)
(fma.f64 1/3 (pow.f64 (/.f64 -1 x) -3) x)
1
(+.f64 (*.f64 -1/3 (pow.f64 x 2)) 1)
(fma.f64 x (*.f64 x -1/3) 1)
(+.f64 (*.f64 -1/3 (pow.f64 x 2)) 1)
(fma.f64 x (*.f64 x -1/3) 1)
(+.f64 (*.f64 -1/3 (pow.f64 x 2)) 1)
(fma.f64 x (*.f64 x -1/3) 1)
(.f64 (cbrt.f64 (.f64 -1/3 x)) (cbrt.f64 (*.f64 (pow.f64 x 2) 1/9)))
(*.f64 x -1/3)
(.f64 (cbrt.f64 (.f64 (pow.f64 x 2) 1/9)) (cbrt.f64 (*.f64 -1/3 x)))
(*.f64 x -1/3)
(.f64 (cbrt.f64 x) (.f64 -1/3 (cbrt.f64 (pow.f64 x 2))))
(.f64 -1/3 (.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 x 2))))
(.f64 (.f64 -1/3 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x 2)))
(.f64 -1/3 (.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 x 2))))
(.f64 (.f64 -1/3 (cbrt.f64 (pow.f64 x 2))) (cbrt.f64 x))
(.f64 -1/3 (.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 x 2))))
(.f64 (cbrt.f64 (pow.f64 x 2)) (.f64 -1/3 (cbrt.f64 x)))
(.f64 -1/3 (.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 x 2))))
(.f64 (cbrt.f64 -1/3) (.f64 (cbrt.f64 1/9) x))
(.f64 x (.f64 (cbrt.f64 -1/3) (cbrt.f64 1/9)))
(.f64 (.f64 x (cbrt.f64 -1/3)) (cbrt.f64 1/9))
(.f64 x (.f64 (cbrt.f64 -1/3) (cbrt.f64 1/9)))
(*.f64 -1/3 x)
(*.f64 x -1/3)
(*.f64 x -1/3)
(.f64 1 (.f64 -1/3 x))
(*.f64 x -1/3)
(.f64 (.f64 -1/3 x) 1)
(*.f64 x -1/3)
(.f64 (.f64 (cbrt.f64 1/9) x) (cbrt.f64 -1/3))
(.f64 x (.f64 (cbrt.f64 -1/3) (cbrt.f64 1/9)))
(.f64 (cbrt.f64 1/9) (.f64 x (cbrt.f64 -1/3)))
(.f64 x (.f64 (cbrt.f64 -1/3) (cbrt.f64 1/9)))
(/.f64 (*.f64 1/3 x) -1)
(*.f64 x -1/3)
(/.f64 (*.f64 -1/3 x) 1)
(*.f64 x -1/3)
(/.f64 x -3)
(*.f64 x -1/3)
(/.f64 (*.f64 (cbrt.f64 1/9) x) (pow.f64 -1/3 -1/3))
(.f64 x (.f64 (cbrt.f64 -1/3) (cbrt.f64 1/9)))
(pow.f64 (*.f64 (pow.f64 x 3) -1/27) 1/3)
(*.f64 x -1/3)
(pow.f64 (*.f64 -1/3 x) 1)
(*.f64 x -1/3)
(pow.f64 (cbrt.f64 (*.f64 -1/3 x)) 3)
(*.f64 x -1/3)
(cbrt.f64 (*.f64 (pow.f64 x 3) -1/27))
(*.f64 x -1/3)
(neg.f64 (*.f64 1/3 x))
(*.f64 x -1/3)
(if (!=.f64 (.f64 (pow.f64 x 3) -1/27) 0) (pow.f64 (pow.f64 (.f64 (pow.f64 x 3) -1/27) -1/3) -1) (*.f64 -1/3 x))
(if (!=.f64 (.f64 -1/27 (pow.f64 x 3)) 0) (pow.f64 (pow.f64 (.f64 -1/27 (pow.f64 x 3)) -1/3) -1) (*.f64 x -1/3))
(if (!=.f64 (.f64 -1/3 (cbrt.f64 (pow.f64 x 2))) 0) (/.f64 (cbrt.f64 x) (/.f64 1 (.f64 -1/3 (cbrt.f64 (pow.f64 x 2))))) (*.f64 -1/3 x))
(if (!=.f64 (.f64 -1/3 (cbrt.f64 (pow.f64 x 2))) 0) (cbrt.f64 (/.f64 x (/.f64 -27 (pow.f64 x 2)))) (.f64 x -1/3))
(if (!=.f64 (.f64 -1/3 x) 0) (pow.f64 (/.f64 -3 x) -1) (.f64 -1/3 x))
(if (!=.f64 (.f64 x -1/3) 0) (/.f64 1 (/.f64 -3 x)) (.f64 x -1/3))
(if (!=.f64 (cbrt.f64 (.f64 (pow.f64 x 2) 1/9)) 0) (/.f64 (cbrt.f64 (.f64 -1/3 x)) (/.f64 1 (cbrt.f64 (.f64 (pow.f64 x 2) 1/9)))) (.f64 -1/3 x))
(if (!=.f64 (cbrt.f64 (.f64 1/9 (pow.f64 x 2))) 0) (cbrt.f64 (/.f64 (.f64 x -1/3) (/.f64 1 (.f64 1/9 (pow.f64 x 2))))) (.f64 x -1/3))
(if (!=.f64 -1/3 0) (.f64 -1/3 x) (.f64 -1/3 x))
(if (!=.f64 -1/3 0) (.f64 x -1/3) (.f64 x -1/3))
(if (!=.f64 (cbrt.f64 (.f64 -1/3 x)) 0) (/.f64 (cbrt.f64 (.f64 (pow.f64 x 2) 1/9)) (cbrt.f64 (/.f64 -3 x))) (*.f64 -1/3 x))
(if (!=.f64 (cbrt.f64 (.f64 x -1/3)) 0) (cbrt.f64 (/.f64 (pow.f64 x 2) (/.f64 (/.f64 -3 x) 1/9))) (.f64 x -1/3))
(if (!=.f64 x 0) (/.f64 -1/3 (pow.f64 x -1)) (*.f64 -1/3 x))
(if (!=.f64 x 0) (/.f64 -1/3 (pow.f64 x -1)) (*.f64 x -1/3))
(if (!=.f64 (.f64 (cbrt.f64 1/9) x) 0) (/.f64 (cbrt.f64 -1/3) (/.f64 1 (.f64 (cbrt.f64 1/9) x))) (*.f64 -1/3 x))
(if (!=.f64 (.f64 (cbrt.f64 1/9) x) 0) (/.f64 (cbrt.f64 -1/3) (/.f64 (pow.f64 1/9 -1/3) x)) (.f64 x -1/3))
(if (!=.f64 (cbrt.f64 (pow.f64 x 2)) 0) (/.f64 (.f64 -1/3 (cbrt.f64 x)) (cbrt.f64 (pow.f64 (pow.f64 x -1) 2))) (.f64 -1/3 x))
(if (!=.f64 (cbrt.f64 (pow.f64 x 2)) 0) (/.f64 (.f64 -1/3 (cbrt.f64 x)) (cbrt.f64 (pow.f64 (pow.f64 x -1) 2))) (.f64 x -1/3))
(if (!=.f64 (cbrt.f64 1/9) 0) (/.f64 (.f64 x (cbrt.f64 -1/3)) (pow.f64 1/9 -1/3)) (.f64 -1/3 x))
(if (!=.f64 (cbrt.f64 1/9) 0) (.f64 x (.f64 (cbrt.f64 -1/3) (cbrt.f64 1/9))) (*.f64 x -1/3))
(if (!=.f64 1 0) (.f64 -1/3 x) (.f64 -1/3 x))
(if (!=.f64 1 0) (.f64 x -1/3) (.f64 x -1/3))
(.f64 (.f64 -1/3 x) x)
(.f64 x (.f64 x -1/3))
(.f64 x (.f64 -1/3 x))
(.f64 x (.f64 x -1/3))
(.f64 (.f64 x (cbrt.f64 (.f64 -1/3 x))) (cbrt.f64 (.f64 (pow.f64 x 2) 1/9)))
(.f64 x (.f64 x -1/3))
(.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (pow.f64 x 2)) (*.f64 -1/3 x)))
(.f64 (.f64 x -1/3) (*.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 x 2))))
(.f64 (cbrt.f64 (.f64 -1/3 x)) (.f64 (cbrt.f64 (.f64 (pow.f64 x 2) 1/9)) x))
(.f64 x (.f64 x -1/3))
(.f64 (cbrt.f64 -1/3) (.f64 (pow.f64 x 2) (cbrt.f64 1/9)))
(.f64 (pow.f64 x 2) (.f64 (cbrt.f64 1/9) (cbrt.f64 -1/3)))
(.f64 (.f64 (*.f64 -1/3 x) (cbrt.f64 x)) (cbrt.f64 (pow.f64 x 2)))
(.f64 (.f64 x -1/3) (*.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 x 2))))
(.f64 1 (.f64 (pow.f64 x 2) -1/3))
(.f64 x (.f64 x -1/3))
(.f64 (.f64 (pow.f64 x 2) -1/3) 1)
(.f64 x (.f64 x -1/3))
(.f64 (cbrt.f64 (.f64 (pow.f64 x 2) 1/9)) (.f64 x (cbrt.f64 (.f64 -1/3 x))))
(.f64 x (.f64 x -1/3))
(.f64 (.f64 (cbrt.f64 (.f64 (pow.f64 x 2) 1/9)) x) (cbrt.f64 (.f64 -1/3 x)))
(.f64 x (.f64 x -1/3))
(.f64 (.f64 (cbrt.f64 (pow.f64 x 2)) (*.f64 -1/3 x)) (cbrt.f64 x))
(.f64 (.f64 x -1/3) (*.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 x 2))))
(.f64 (cbrt.f64 (pow.f64 x 2)) (.f64 (*.f64 -1/3 x) (cbrt.f64 x)))
(.f64 (.f64 x -1/3) (*.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 x 2))))
(.f64 (.f64 (pow.f64 x 2) (cbrt.f64 1/9)) (cbrt.f64 -1/3))
(.f64 (pow.f64 x 2) (.f64 (cbrt.f64 1/9) (cbrt.f64 -1/3)))
(.f64 -1 (.f64 (*.f64 1/3 x) x))
(.f64 x (.f64 x -1/3))
(.f64 (.f64 (*.f64 1/3 x) x) -1)
(.f64 x (.f64 x -1/3))
(*.f64 (pow.f64 x 2) -1/3)
(.f64 x (.f64 x -1/3))
(.f64 (cbrt.f64 (.f64 1/9 (pow.f64 (pow.f64 x 2) 2))) (cbrt.f64 (*.f64 (pow.f64 x 2) -1/3)))
(.f64 x (.f64 x -1/3))
(*.f64 -1/3 (pow.f64 x 2))
(.f64 x (.f64 x -1/3))
(.f64 (cbrt.f64 (.f64 (pow.f64 x 2) -1/3)) (cbrt.f64 (*.f64 1/9 (pow.f64 (pow.f64 x 2) 2))))
(.f64 x (.f64 x -1/3))
(-.f64 0 (.f64 (.f64 1/3 x) x))
(.f64 x (.f64 x -1/3))
(/.f64 (*.f64 (pow.f64 x 2) -1/3) 1)
(.f64 x (.f64 x -1/3))
(/.f64 (.f64 (.f64 1/3 x) x) -1)
(.f64 x (.f64 x -1/3))
(/.f64 (*.f64 (pow.f64 x 2) (cbrt.f64 1/9)) (pow.f64 -1/3 -1/3))
(.f64 (pow.f64 x 2) (.f64 (cbrt.f64 1/9) (cbrt.f64 -1/3)))
(/.f64 (pow.f64 x 2) -3)
(.f64 x (.f64 x -1/3))
(/.f64 (neg.f64 (pow.f64 x 2)) 3)
(.f64 x (.f64 x -1/3))
(pow.f64 (*.f64 (pow.f64 x 2) -1/3) 1)
(.f64 x (.f64 x -1/3))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 2) -1/3)) 3)
(.f64 x (.f64 x -1/3))
(pow.f64 (pow.f64 (*.f64 (pow.f64 x 2) -1/3) 3) 1/3)
(.f64 x (.f64 x -1/3))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 2) -1/3) 3))
(.f64 x (.f64 x -1/3))
(neg.f64 (.f64 (.f64 1/3 x) x))
(.f64 x (.f64 x -1/3))
(if (!=.f64 x 0) (/.f64 x (/.f64 -3 x)) (*.f64 (pow.f64 x 2) -1/3))
(if (!=.f64 x 0) (/.f64 x (/.f64 -3 x)) (.f64 x (.f64 x -1/3)))
(if (!=.f64 (.f64 (pow.f64 x 2) -1/3) 0) (/.f64 -1/3 (pow.f64 (pow.f64 x -1) 2)) (.f64 (pow.f64 x 2) -1/3))
(if (!=.f64 (.f64 x (.f64 x -1/3)) 0) (/.f64 -1/3 (pow.f64 (pow.f64 x -1) 2)) (.f64 x (.f64 x -1/3)))
(if (!=.f64 (cbrt.f64 (.f64 1/9 (pow.f64 (pow.f64 x 2) 2))) 0) (cbrt.f64 (/.f64 (.f64 (pow.f64 x 2) -1/3) (pow.f64 (/.f64 -3 (pow.f64 x 2)) 2))) (*.f64 (pow.f64 x 2) -1/3))
(if (!=.f64 (cbrt.f64 (.f64 1/9 (pow.f64 (pow.f64 x 2) 2))) 0) (cbrt.f64 (/.f64 (pow.f64 x 2) (.f64 (pow.f64 (/.f64 -3 (pow.f64 x 2)) 2) -3))) (.f64 x (.f64 x -1/3)))
(if (!=.f64 (.f64 -1/3 x) 0) (/.f64 x (/.f64 -3 x)) (.f64 (pow.f64 x 2) -1/3))
(if (!=.f64 (.f64 x -1/3) 0) (/.f64 x (/.f64 -3 x)) (.f64 x (*.f64 x -1/3)))
(if (!=.f64 (pow.f64 x 2) 0) (/.f64 -1/3 (pow.f64 (pow.f64 x -1) 2)) (*.f64 (pow.f64 x 2) -1/3))
(if (!=.f64 (pow.f64 x 2) 0) (/.f64 -1/3 (pow.f64 (pow.f64 x -1) 2)) (.f64 x (.f64 x -1/3)))
(if (!=.f64 (pow.f64 (.f64 (pow.f64 x 2) -1/3) 3) 0) (/.f64 1 (pow.f64 (pow.f64 (.f64 (pow.f64 x 2) -1/3) 3) -1/3)) (*.f64 (pow.f64 x 2) -1/3))
(if (!=.f64 (.f64 (pow.f64 (pow.f64 x 2) 3) -1/27) 0) (/.f64 1 (pow.f64 (.f64 (pow.f64 (pow.f64 x 2) 3) -1/27) -1/3)) (.f64 x (.f64 x -1/3)))
(if (!=.f64 (.f64 (pow.f64 x 2) (cbrt.f64 1/9)) 0) (/.f64 (cbrt.f64 -1/3) (/.f64 1 (.f64 (pow.f64 x 2) (cbrt.f64 1/9)))) (*.f64 (pow.f64 x 2) -1/3))
(if (!=.f64 (.f64 (cbrt.f64 1/9) (pow.f64 x 2)) 0) (/.f64 (cbrt.f64 -1/3) (/.f64 (pow.f64 (pow.f64 x 2) -1) (cbrt.f64 1/9))) (.f64 x (*.f64 x -1/3)))
(if (!=.f64 (cbrt.f64 (.f64 (pow.f64 x 2) 1/9)) 0) (/.f64 (.f64 x (cbrt.f64 (.f64 -1/3 x))) (/.f64 1 (cbrt.f64 (.f64 (pow.f64 x 2) 1/9)))) (*.f64 (pow.f64 x 2) -1/3))
(if (!=.f64 (cbrt.f64 (.f64 1/9 (pow.f64 x 2))) 0) (/.f64 (.f64 x (cbrt.f64 (.f64 x -1/3))) (cbrt.f64 (/.f64 1 (.f64 1/9 (pow.f64 x 2))))) (.f64 x (.f64 x -1/3)))
(if (!=.f64 (cbrt.f64 (.f64 (pow.f64 x 2) -1/3)) 0) (/.f64 (cbrt.f64 (.f64 1/9 (pow.f64 (pow.f64 x 2) 2))) (cbrt.f64 (/.f64 -3 (pow.f64 x 2)))) (*.f64 (pow.f64 x 2) -1/3))
(if (!=.f64 (cbrt.f64 (.f64 x (.f64 x -1/3))) 0) (cbrt.f64 (/.f64 (.f64 1/9 (pow.f64 (pow.f64 x 2) 2)) (/.f64 -3 (pow.f64 x 2)))) (.f64 x (*.f64 x -1/3)))
(if (!=.f64 (.f64 (cbrt.f64 (.f64 (pow.f64 x 2) 1/9)) x) 0) (/.f64 (cbrt.f64 (.f64 -1/3 x)) (/.f64 1 (.f64 (cbrt.f64 (.f64 (pow.f64 x 2) 1/9)) x))) (.f64 (pow.f64 x 2) -1/3))
(if (!=.f64 (.f64 x (cbrt.f64 (.f64 1/9 (pow.f64 x 2)))) 0) (/.f64 (cbrt.f64 (.f64 x -1/3)) (/.f64 (cbrt.f64 (/.f64 1 (.f64 1/9 (pow.f64 x 2)))) x)) (.f64 x (.f64 x -1/3)))
(if (!=.f64 (.f64 (cbrt.f64 (pow.f64 x 2)) (.f64 -1/3 x)) 0) (/.f64 (cbrt.f64 x) (/.f64 1 (.f64 (cbrt.f64 (pow.f64 x 2)) (.f64 -1/3 x)))) (*.f64 (pow.f64 x 2) -1/3))
(if (!=.f64 (.f64 (.f64 x -1/3) (cbrt.f64 (pow.f64 x 2))) 0) (/.f64 (cbrt.f64 x) (/.f64 (cbrt.f64 (pow.f64 (pow.f64 x 2) -1)) (.f64 x -1/3))) (.f64 x (*.f64 x -1/3)))
(if (!=.f64 -1/3 0) (.f64 (pow.f64 x 2) -1/3) (.f64 (pow.f64 x 2) -1/3))
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(fma.f64 (cbrt.f64 (.f64 -1/3 x)) (.f64 (cbrt.f64 (*.f64 (pow.f64 x 2) 1/9)) x) 1)
(fma.f64 x (*.f64 x -1/3) 1)
(fma.f64 (cbrt.f64 -1/3) (*.f64 (pow.f64 x 2) (cbrt.f64 1/9)) 1)
(fma.f64 (cbrt.f64 -1/3) (*.f64 (cbrt.f64 1/9) (pow.f64 x 2)) 1)
(fma.f64 (.f64 (.f64 -1/3 x) (cbrt.f64 x)) (cbrt.f64 (pow.f64 x 2)) 1)
(fma.f64 (cbrt.f64 x) (.f64 (.f64 x -1/3) (cbrt.f64 (pow.f64 x 2))) 1)
(fma.f64 -1/3 (pow.f64 x 2) 1)
(fma.f64 x (*.f64 x -1/3) 1)
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 2) -1/3)) (cbrt.f64 (.f64 1/9 (pow.f64 (pow.f64 x 2) 2))) 1)
(fma.f64 x (*.f64 x -1/3) 1)
(fma.f64 (pow.f64 x 2) -1/3 1)
(fma.f64 x (*.f64 x -1/3) 1)
(fma.f64 (cbrt.f64 (.f64 1/9 (pow.f64 (pow.f64 x 2) 2))) (cbrt.f64 (.f64 (pow.f64 x 2) -1/3)) 1)
(fma.f64 x (*.f64 x -1/3) 1)
(pow.f64 (pow.f64 (fma.f64 x (*.f64 -1/3 x) 1) 3) 1/3)
(fma.f64 x (*.f64 x -1/3) 1)
(pow.f64 (fma.f64 x (*.f64 -1/3 x) 1) 1)
(fma.f64 x (*.f64 x -1/3) 1)
(pow.f64 (cbrt.f64 (fma.f64 x (*.f64 -1/3 x) 1)) 3)
(fma.f64 x (*.f64 x -1/3) 1)
(cbrt.f64 (pow.f64 (fma.f64 x (*.f64 -1/3 x) 1) 3))
(fma.f64 x (*.f64 x -1/3) 1)
(neg.f64 (-.f64 (.f64 (.f64 1/3 x) x) 1))
(fma.f64 x (*.f64 x -1/3) 1)
(neg.f64 (.f64 1 (-.f64 (.f64 (*.f64 1/3 x) x) 1)))
(fma.f64 x (*.f64 x -1/3) 1)
(neg.f64 (.f64 (-.f64 (.f64 (*.f64 1/3 x) x) 1) 1))
(fma.f64 x (*.f64 x -1/3) 1)
(neg.f64 (.f64 (-.f64 (.f64 (pow.f64 x 2) (-.f64 -1/3 (.f64 (pow.f64 x 2) 1/9))) 1) (/.f64 (fma.f64 x (.f64 -1/3 x) 1) (-.f64 1 (.f64 (pow.f64 x 2) (-.f64 -1/3 (.f64 (pow.f64 x 2) 1/9)))))))
(fma.f64 x (*.f64 x -1/3) 1)
(neg.f64 (.f64 (fma.f64 -1/27 (pow.f64 (pow.f64 x 3) 2) 1) (/.f64 1 (-.f64 (.f64 (pow.f64 x 2) (-.f64 -1/3 (*.f64 (pow.f64 x 2) 1/9))) 1))))
(/.f64 (fma.f64 -1/27 (pow.f64 (pow.f64 x 2) 3) 1) (+.f64 (*.f64 (fma.f64 (pow.f64 x 2) 1/9 1/3) (pow.f64 x 2)) 1))
(if (!=.f64 (-.f64 1 (.f64 (pow.f64 x 2) (-.f64 -1/3 (.f64 (pow.f64 x 2) 1/9)))) 0) (fma.f64 x (.f64 -1/3 x) 1) (fma.f64 x (.f64 -1/3 x) 1))
(if (!=.f64 (+.f64 (.f64 (fma.f64 (pow.f64 x 2) 1/9 1/3) (pow.f64 x 2)) 1) 0) (fma.f64 x (.f64 x -1/3) 1) (fma.f64 x (*.f64 x -1/3) 1))
(if (!=.f64 (.f64 (pow.f64 x 2) -1/3) 0) (fma.f64 x (.f64 -1/3 x) 1) (fma.f64 x (*.f64 -1/3 x) 1))
(if (!=.f64 (.f64 x (.f64 x -1/3)) 0) (fma.f64 x (.f64 x -1/3) 1) (fma.f64 x (.f64 x -1/3) 1))
(if (!=.f64 (-.f64 (.f64 (.f64 1/3 x) x) -1) 0) (/.f64 (fma.f64 1/9 (pow.f64 (pow.f64 x 2) 2) -1) (fma.f64 (.f64 -1/3 x) x -1)) (fma.f64 x (.f64 -1/3 x) 1))
(if (!=.f64 (fma.f64 (.f64 1/3 x) x 1) 0) (/.f64 (fma.f64 1/9 (pow.f64 (pow.f64 x 2) 2) -1) (fma.f64 (.f64 x -1/3) x -1)) (fma.f64 x (*.f64 x -1/3) 1))
(if (!=.f64 (fma.f64 (.f64 -1/3 x) x -1) 0) (/.f64 (fma.f64 1/9 (pow.f64 (pow.f64 x 2) 2) -1) (fma.f64 (.f64 -1/3 x) x -1)) (fma.f64 x (*.f64 -1/3 x) 1))
(if (!=.f64 (fma.f64 (.f64 x -1/3) x -1) 0) (/.f64 (fma.f64 1/9 (pow.f64 (pow.f64 x 2) 2) -1) (fma.f64 (.f64 x -1/3) x -1)) (fma.f64 x (*.f64 x -1/3) 1))
(if (!=.f64 (.f64 (pow.f64 x 2) -1/3) 0) (.f64 (.f64 (pow.f64 x 2) -1/3) (+.f64 1 (/.f64 -3 (pow.f64 x 2)))) (fma.f64 x (.f64 -1/3 x) 1))
(if (!=.f64 (.f64 x (.f64 x -1/3)) 0) (.f64 (.f64 x (.f64 x -1/3)) (+.f64 1 (/.f64 -3 (pow.f64 x 2)))) (fma.f64 x (.f64 x -1/3) 1))
(if (!=.f64 (pow.f64 (fma.f64 x (.f64 -1/3 x) 1) 3) 0) (pow.f64 (pow.f64 (pow.f64 (fma.f64 x (.f64 -1/3 x) 1) 3) -1/3) -1) (fma.f64 x (*.f64 -1/3 x) 1))
(if (!=.f64 (pow.f64 (fma.f64 x (.f64 x -1/3) 1) 3) 0) (/.f64 1 (pow.f64 (pow.f64 (fma.f64 x (.f64 x -1/3) 1) 3) -1/3)) (fma.f64 x (*.f64 x -1/3) 1))
(if (!=.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/27 (pow.f64 (pow.f64 x 3) 2) 1) 2)) 0) (/.f64 (cbrt.f64 (fma.f64 -1/27 (pow.f64 (pow.f64 x 3) 2) 1)) (/.f64 (-.f64 1 (.f64 (pow.f64 x 2) (-.f64 -1/3 (.f64 (pow.f64 x 2) 1/9)))) (cbrt.f64 (pow.f64 (fma.f64 -1/27 (pow.f64 (pow.f64 x 3) 2) 1) 2)))) (fma.f64 x (*.f64 -1/3 x) 1))
(if (!=.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/27 (pow.f64 (pow.f64 x 2) 3) 1) 2)) 0) (/.f64 (cbrt.f64 (fma.f64 -1/27 (pow.f64 (pow.f64 x 2) 3) 1)) (/.f64 (+.f64 (.f64 (fma.f64 (pow.f64 x 2) 1/9 1/3) (pow.f64 x 2)) 1) (cbrt.f64 (pow.f64 (fma.f64 -1/27 (pow.f64 (pow.f64 x 2) 3) 1) 2)))) (fma.f64 x (.f64 x -1/3) 1))
(if (!=.f64 (fma.f64 -1/27 (pow.f64 (pow.f64 x 3) 2) 1) 0) (pow.f64 (/.f64 (-.f64 1 (.f64 (pow.f64 x 2) (-.f64 -1/3 (.f64 (pow.f64 x 2) 1/9)))) (fma.f64 -1/27 (pow.f64 (pow.f64 x 3) 2) 1)) -1) (fma.f64 x (*.f64 -1/3 x) 1))
(if (!=.f64 (fma.f64 -1/27 (pow.f64 (pow.f64 x 2) 3) 1) 0) (/.f64 -1 (/.f64 (fma.f64 (pow.f64 x 2) (-.f64 -1/3 (.f64 1/9 (pow.f64 x 2))) -1) (fma.f64 -1/27 (pow.f64 (pow.f64 x 2) 3) 1))) (fma.f64 x (.f64 x -1/3) 1))
(if (!=.f64 (fma.f64 x (.f64 -1/3 x) 1) 0) (/.f64 (-.f64 1 (.f64 (pow.f64 x 2) (-.f64 -1/3 (.f64 (pow.f64 x 2) 1/9)))) (/.f64 (-.f64 1 (.f64 (pow.f64 x 2) (-.f64 -1/3 (.f64 (pow.f64 x 2) 1/9)))) (fma.f64 x (.f64 -1/3 x) 1))) (fma.f64 x (*.f64 -1/3 x) 1))
(if (!=.f64 (fma.f64 x (.f64 x -1/3) 1) 0) (/.f64 (fma.f64 (pow.f64 x 2) (-.f64 -1/3 (.f64 1/9 (pow.f64 x 2))) -1) (/.f64 (fma.f64 (pow.f64 x 2) (-.f64 -1/3 (.f64 1/9 (pow.f64 x 2))) -1) (fma.f64 x (.f64 x -1/3) 1))) (fma.f64 x (*.f64 x -1/3) 1))
(if (!=.f64 (+.f64 (pow.f64 (.f64 (pow.f64 x 2) (-.f64 (.f64 (pow.f64 x 2) 1/9) -1/3)) 2) (-.f64 1 (.f64 (pow.f64 x 2) (-.f64 (.f64 (pow.f64 x 2) 1/9) -1/3)))) 0) (.f64 (/.f64 (fma.f64 -1/27 (pow.f64 (pow.f64 x 3) 2) 1) (+.f64 1 (pow.f64 (.f64 (pow.f64 x 2) (-.f64 (.f64 (pow.f64 x 2) 1/9) -1/3)) 3))) (+.f64 (pow.f64 (.f64 (pow.f64 x 2) (-.f64 (.f64 (pow.f64 x 2) 1/9) -1/3)) 2) (-.f64 1 (.f64 (pow.f64 x 2) (-.f64 (.f64 (pow.f64 x 2) 1/9) -1/3))))) (fma.f64 x (.f64 -1/3 x) 1))
(if (!=.f64 (-.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (pow.f64 x 2) 1/9 1/3) (pow.f64 x 2)) 2) -1) (.f64 (fma.f64 (pow.f64 x 2) 1/9 1/3) (pow.f64 x 2))) 0) (.f64 (-.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (pow.f64 x 2) 1/9 1/3) (pow.f64 x 2)) 2) -1) (.f64 (fma.f64 (pow.f64 x 2) 1/9 1/3) (pow.f64 x 2))) (/.f64 (fma.f64 -1/27 (pow.f64 (pow.f64 x 2) 3) 1) (-.f64 (pow.f64 (.f64 (fma.f64 (pow.f64 x 2) 1/9 1/3) (pow.f64 x 2)) 3) -1))) (fma.f64 x (*.f64 x -1/3) 1))
(if (!=.f64 1 0) (fma.f64 x (.f64 -1/3 x) 1) (fma.f64 x (.f64 -1/3 x) 1))
(if (!=.f64 1 0) (fma.f64 x (.f64 x -1/3) 1) (fma.f64 x (.f64 x -1/3) 1))
(if (!=.f64 (fma.f64 x (.f64 -1/3 x) 1) 0) (/.f64 1 (pow.f64 (fma.f64 x (.f64 -1/3 x) 1) -1)) (fma.f64 x (*.f64 -1/3 x) 1))
(if (!=.f64 (fma.f64 x (.f64 x -1/3) 1) 0) (pow.f64 (pow.f64 (fma.f64 x (.f64 x -1/3) 1) -1) -1) (fma.f64 x (*.f64 x -1/3) 1))
(if (!=.f64 (.f64 (.f64 1/3 x) x) 0) (fma.f64 x (.f64 -1/3 x) 1) (fma.f64 x (.f64 -1/3 x) 1))
(if (!=.f64 (.f64 x (.f64 1/3 x)) 0) (fma.f64 x (.f64 x -1/3) 1) (fma.f64 x (.f64 x -1/3) 1))
(+.f64 1 (*.f64 (pow.f64 x 2) -1/3))
(fma.f64 x (*.f64 x -1/3) 1)
(+.f64 (*.f64 (pow.f64 x 2) -1/3) 1)
(fma.f64 x (*.f64 x -1/3) 1)
(+.f64 1/2 (-.f64 1/2 (.f64 (.f64 1/3 x) x)))
(fma.f64 x (*.f64 x -1/3) 1)
(+.f64 1 (+.f64 0 (*.f64 (pow.f64 x 2) -1/3)))
(fma.f64 x (*.f64 x -1/3) 1)
(+.f64 1/2 (+.f64 1/2 (*.f64 (pow.f64 x 2) -1/3)))
(fma.f64 x (*.f64 x -1/3) 1)
(+.f64 (+.f64 (*.f64 (pow.f64 x 2) -1/3) 1/2) 1/2)
(fma.f64 x (*.f64 x -1/3) 1)
(+.f64 (fma.f64 x (*.f64 -1/3 x) 1) 0)
(fma.f64 x (*.f64 x -1/3) 1)

eval253.0ms (0.4%)

Compiler: Compiled 7138 to 5538 computations (22.4% saved)

prune58.0ms (0.1%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	310	1	311
Fresh	0	1	1
Picked	0	1	1
Done	1	3	4
Total	311	6	317

Error

Counts

317 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 (expm1.f64 (.f64 x -2)) (-.f64 -1 (exp.f64 (.f64 (*.f64 -6 x) 1/3))))
✓	0.0b	(/.f64 (expm1.f64 (.f64 x -2)) (-.f64 -1 (exp.f64 (.f64 -2 x))))
✓	2.9b	(/.f64 (expm1.f64 (*.f64 x -2)) -2)
	2.2b	(.f64 (-.f64 4 (+.f64 3 (.f64 (*.f64 1/3 x) x))) x)
✓	2.2b	(.f64 (+.f64 1 (.f64 (*.f64 -1/3 x) x)) x)
	2.2b	x

Compiler

Compiled 57 to 45 computations (21.1% saved)

regimes26.0ms (0%)

Counts

11 → 1

Calls

Call 1

Inputs
x
(.f64 (+.f64 1 (.f64 (*.f64 -1/3 x) x)) x)
(.f64 (-.f64 4 (+.f64 3 (.f64 (*.f64 1/3 x) x))) x)
(/.f64 (expm1.f64 (*.f64 x -2)) -2)
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(.f64 (+.f64 1 (.f64 (pow.f64 x 2) -1/3)) x)
(/.f64 (expm1.f64 (.f64 x -2)) (-.f64 -1 (exp.f64 (.f64 -2 x))))
(/.f64 (expm1.f64 (.f64 x -2)) (-.f64 -1 (exp.f64 (.f64 (*.f64 -6 x) 1/3))))
(/.f64 (expm1.f64 (.f64 x -2)) (-.f64 -1 (exp.f64 (.f64 (*.f64 x (+.f64 -4 -2)) 1/3))))
(/.f64 (expm1.f64 (*.f64 x -2)) (-.f64 -1 (pow.f64 (exp.f64 x) -2)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Outputs
(/.f64 (expm1.f64 (.f64 x -2)) (-.f64 -1 (exp.f64 (.f64 (*.f64 -6 x) 1/3))))

Calls

2 calls:

17.0ms	x
3.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`

Compiler

Compiled 123 to 87 computations (29.3% saved)

regimes12.0ms (0%)

Counts

7 → 1

Calls

Call 1

Inputs
x
(.f64 (+.f64 1 (.f64 (*.f64 -1/3 x) x)) x)
(.f64 (-.f64 4 (+.f64 3 (.f64 (*.f64 1/3 x) x))) x)
(/.f64 (expm1.f64 (*.f64 x -2)) -2)
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(.f64 (+.f64 1 (.f64 (pow.f64 x 2) -1/3)) x)
(/.f64 (expm1.f64 (.f64 x -2)) (-.f64 -1 (exp.f64 (.f64 -2 x))))

Outputs
(/.f64 (expm1.f64 (.f64 x -2)) (-.f64 -1 (exp.f64 (.f64 -2 x))))

Calls

1 calls:

9.0ms

Results

Error	Segments	Branch
0.0b	1	`x`

Compiler

Compiled 57 to 42 computations (26.3% saved)

regimes11.0ms (0%)

Counts

6 → 1

Calls

Call 1

Inputs
x
(.f64 (+.f64 1 (.f64 (*.f64 -1/3 x) x)) x)
(.f64 (-.f64 4 (+.f64 3 (.f64 (*.f64 1/3 x) x))) x)
(/.f64 (expm1.f64 (*.f64 x -2)) -2)
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(.f64 (+.f64 1 (.f64 (pow.f64 x 2) -1/3)) x)

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

Calls

1 calls:

8.0ms

Results

Error	Segments	Branch
2.2b	1	`x`

Compiler

Compiled 46 to 33 computations (28.3% saved)

regimes6.0ms (0%)

Counts

4 → 1

Calls

Call 1

Inputs
x
(.f64 (+.f64 1 (.f64 (*.f64 -1/3 x) x)) x)
(.f64 (-.f64 4 (+.f64 3 (.f64 (*.f64 1/3 x) x))) x)
(/.f64 (expm1.f64 (*.f64 x -2)) -2)

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

Calls

1 calls:

4.0ms

Results

Error	Segments	Branch
2.2b	1	`x`

Compiler

Compiled 30 to 21 computations (30% saved)

regimes8.0ms (0%)

Accuracy

Total -0.2b remaining (-11.5%)

Threshold costs -0.2b (-11.5%)

Counts

2 → 1

Calls

Call 1

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

Outputs
(.f64 (+.f64 1 (.f64 (*.f64 -1/3 x) x)) x)

Calls

1 calls:

7.0ms

Results

Error	Segments	Branch
2.2b	1	`x`

Compiler

Compiled 13 to 8 computations (38.5% saved)

simplify2.0ms (0%)

Stop Event

1×

fuel

Compiler

Compiled 58 to 45 computations (22.4% saved)

soundness0.0ms (0%)

end72.0ms (0.1%)

Compiler: Compiled 53 to 40 computations (24.5% saved)

Details

analyze7.0ms (0%)

sample2.2s (3.9%)

preprocess3.1s (5.4%)

simplify1.8s (3%)

eval1.0ms (0%)

prune2.0ms (0%)

localize27.0ms (0%)

series42.0ms (0.1%)

rewrite1.7s (3%)

simplify5.9s (10.2%)

eval279.0ms (0.5%)

prune58.0ms (0.1%)

localize8.0ms (0%)

series9.0ms (0%)

rewrite1.9s (3.2%)

simplify2.5s (4.3%)

localize15.0ms (0%)

localize31.0ms (0.1%)

series19.0ms (0%)

rewrite1.6s (2.8%)

simplify5.3s (9.2%)

localize55.0ms (0.1%)

series31.0ms (0.1%)

rewrite1.9s (3.3%)

simplify7.0s (12.1%)

eval427.0ms (0.7%)

prune115.0ms (0.2%)

localize12.0ms (0%)

series17.0ms (0%)

rewrite1.9s (3.2%)

simplify4.3s (7.4%)

localize39.0ms (0.1%)

series22.0ms (0%)

rewrite1.8s (3.1%)

simplify4.8s (8.2%)

eval460.0ms (0.8%)

prune95.0ms (0.2%)

localize11.0ms (0%)

series16.0ms (0%)

rewrite1.8s (3%)

simplify6.3s (10.9%)

eval253.0ms (0.4%)

prune58.0ms (0.1%)

regimes26.0ms (0%)

regimes12.0ms (0%)

regimes11.0ms (0%)

regimes6.0ms (0%)

regimes8.0ms (0%)

simplify2.0ms (0%)

soundness0.0ms (0%)

end72.0ms (0.1%)

Profiling