Details

analyze172.0ms (0.2%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
25%	25%	75%	0%	0%	0%	0%	3
28.6%	25%	62.5%	0%	0%	0%	12.5%	4
30.8%	25%	56.2%	0%	0%	0%	18.7%	5
36%	28.1%	50%	0%	0%	0%	21.9%	6
38.8%	29.7%	46.9%	0%	0%	0%	23.4%	7
40.2%	30.5%	45.3%	0%	0%	0%	24.2%	8
40.7%	30.8%	44.9%	0%	0%	0%	24.2%	9
41.2%	31.2%	44.5%	0%	0%	0%	24.2%	10
41.4%	31.3%	44.4%	0%	0%	0%	24.2%	11
41.5%	31.4%	44.3%	0%	0%	0%	24.3%	12

Compiler

Compiled 14 to 12 computations (14.3% saved)

sample1.9s (2.5%)

Results

1.0s	2746×	body	1024	valid
420.0ms	3864×	body	256	valid
298.0ms	1363×	body	512	valid
131.0ms	283×	body	2048	valid
6.0ms	52×	body	256	infinite
0.0ms	5×	body	256	unsamplable

Bogosity

preprocess2.9s (3.8%)

Algorithm

2×

egglog

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 14 to 12 computations (14.3% saved)

simplify1.5s (2%)

Algorithm

1×

egglog

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 21 to 16 computations (23.8% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.0b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	42.7b	(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
▶	0.0b	(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))

Compiler

Compiled 22 to 17 computations (22.7% saved)

localize8.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
✓	0.0b	(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))

Compiler

Compiled 26 to 6 computations (76.9% saved)

series16.0ms (0%)

Counts

2 → 22

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
1.0ms	x	@	inf	(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
1.0ms	x	@	-inf	(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
0.0ms	x	@	0	(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
0.0ms	x	@	inf	(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))

Compiler

Compiled 1570 to 1275 computations (18.8% saved)

rewrite1.5s (2%)

Algorithm

1×	batch-egg-rewrite

Rules

99×	`egg-rr`
36×	`egg-rr`

Counts

2 → 135

Calls

Call 1

Inputs
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))

Outputs
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Outputs

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x))))))))

simplify3.0s (4%)

Algorithm

1×

egglog

Counts

157 → 197

Calls

Call 1

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

Outputs
2
(+.f64 2 x)
(-.f64 x -2)
(+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(-.f64 (fma.f64 1/2 (pow.f64 x 2) x) -2)
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 2 (+.f64 (.f64 1/2 (pow.f64 x 2)) x)))
(fma.f64 1/6 (pow.f64 x 3) (-.f64 (fma.f64 1/2 (pow.f64 x 2) x) -2))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
(/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
(/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
(/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
(/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
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(+.f64 (sqrt.f64 2) (.f64 1/2 (.f64 (sqrt.f64 1/2) (+.f64 (*.f64 (+.f64 1/2 -1/8) (pow.f64 x 2)) x))))
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(sqrt.f64 (/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x)))
(.f64 (.f64 -1 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) (*.f64 -1 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))))
(sqrt.f64 (/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x)))
(*.f64 1 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(sqrt.f64 (/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x)))
(*.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 1)
(sqrt.f64 (/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x)))
(/.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 1)
(sqrt.f64 (/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x)))
(sqrt.f64 (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2))
(sqrt.f64 (/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x)))
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(sqrt.f64 (/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x)))
(pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) (/.f64 4 2))
(sqrt.f64 (/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x)))
(pow.f64 (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 3) 1/3)
(sqrt.f64 (/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x)))
(pow.f64 (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2) 1/2)
(sqrt.f64 (/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x)))
(pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 1/2)
(sqrt.f64 (/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x)))
(pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) 4)
(sqrt.f64 (/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x)))
(pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) 2)
(sqrt.f64 (/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x)))
(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 1)
(sqrt.f64 (/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x)))
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) 3)
(sqrt.f64 (/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x)))
(cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 3))
(sqrt.f64 (/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x)))
(if (!=.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 0) (/.f64 1 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) -1/2)) (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(if (!=.f64 (/.f64 (expm1.f64 (.f64 2 x)) (expm1.f64 x)) 0) (/.f64 1 (pow.f64 (/.f64 (expm1.f64 (.f64 2 x)) (expm1.f64 x)) -1/2)) (sqrt.f64 (/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))))
(if (!=.f64 (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2) 0) (/.f64 1 (pow.f64 (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2) -1/2)) (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(if (!=.f64 (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (.f64 2 x)) (expm1.f64 x))) 2) 0) (/.f64 1 (pow.f64 (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (.f64 2 x)) (expm1.f64 x))) 2) -1/2)) (sqrt.f64 (/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))))
(if (!=.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 0) (/.f64 1 (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) -1)) (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(if (!=.f64 (sqrt.f64 (/.f64 (expm1.f64 (.f64 2 x)) (expm1.f64 x))) 0) (/.f64 1 (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (.f64 2 x)) (expm1.f64 x))) -1)) (sqrt.f64 (/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))))
(if (!=.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) 0) (/.f64 1 (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) -2)) (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(if (!=.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (.f64 2 x)) (expm1.f64 x)))) 0) (/.f64 1 (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (.f64 2 x)) (expm1.f64 x))) -1)) (sqrt.f64 (/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))))

localize18.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
✓	0.0b	(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
✓	4.7b	(-.f64 (exp.f64 x) 1)
✓	4.9b	(-.f64 (exp.f64 (*.f64 2 x)) 1)

Compiler

Compiled 46 to 33 computations (28.3% saved)

series11.0ms (0%)

Counts

4 → 14

Calls

12 calls:

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

Compiler

Compiled 1050 to 890 computations (15.2% saved)

rewrite1.7s (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

202×	`egg-rr`
180×	`egg-rr`
148×	`egg-rr`
33×	`egg-rr`

Counts

4 → 563

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x .f64 (expm1.f64 x) (exp.f64 (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (expm1.f64 (+.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (exp.f64 (log1p.f64 (exp.f64 x))) (expm1.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (expm1.f64 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 1 (pow.f64 (exp.f64 x) 6)) (/.f64 1 (-.f64 (-.f64 -1 (pow.f64 (exp.f64 2) x)) (pow.f64 (exp.f64 x) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (expm1.f64 (.f64 x 4))) (/.f64 1 (-.f64 -1 (pow.f64 (exp.f64 2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (cbrt.f64 (expm1.f64 (+.f64 x x)))) (neg.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 4)) (+.f64 1 (pow.f64 (exp.f64 x) 2/3))) (expm1.f64 (.f64 (+.f64 x x) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)) (cbrt.f64 (expm1.f64 (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (+.f64 1 (/.f64 (pow.f64 (exp.f64 2) x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (exp.f64 2) x) (+.f64 1 (/.f64 (.f64 (pow.f64 (exp.f64 2) x) (neg.f64 (pow.f64 (exp.f64 x) -2))) (pow.f64 (exp.f64 2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (exp.f64 2) x) (+.f64 1 (/.f64 (.f64 (neg.f64 (pow.f64 (exp.f64 x) -2)) (pow.f64 (exp.f64 2) x)) (pow.f64 (exp.f64 2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (+.f64 1 (/.f64 (.f64 (neg.f64 (pow.f64 (exp.f64 2) x)) -1) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)) (+.f64 0 (.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) 0))) (-.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 0 (+.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)) (.f64 0 (neg.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))))))) (cbrt.f64 (expm1.f64 (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 0 (-.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)) 0)) (+.f64 0 (cbrt.f64 (expm1.f64 (+.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (expm1.f64 (+.f64 x x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (expm1.f64 x)) (-.f64 -1 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 1 (pow.f64 (exp.f64 x) -2)) (pow.f64 (exp.f64 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (hypot.f64 -1 (exp.f64 x)) -2) (expm1.f64 (.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 1 (+.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 4)) (pow.f64 (exp.f64 x) 2/3))) (expm1.f64 (.f64 (+.f64 x x) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (neg.f64 (expm1.f64 (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 -1 (exp.f64 x)) (neg.f64 (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (exp.f64 2) x) (-.f64 1 (pow.f64 (exp.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (expm1.f64 (.f64 x 4)) (pow.f64 (hypot.f64 -1 (exp.f64 x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (expm1.f64 (.f64 3 (+.f64 x x))) (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (hypot.f64 (pow.f64 (exp.f64 2) x) (exp.f64 x)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (hypot.f64 (pow.f64 (exp.f64 2) x) (exp.f64 x)) 2)))) (expm1.f64 (.f64 3 (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (.f64 (.f64 3 (+.f64 x x)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (expm1.f64 (+.f64 x x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (exp.f64 x) 6) (+.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 2) x))) (pow.f64 (exp.f64 x) 4))) (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (hypot.f64 (pow.f64 (exp.f64 2) x) (exp.f64 x)) 2)))))))) (#(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 0 (neg.f64 (expm1.f64 (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 (exp.f64 2) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (neg.f64 (pow.f64 (exp.f64 2) x)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (exp.f64 x) 4) (exp.f64 (log1p.f64 (pow.f64 (exp.f64 2) x)))) (pow.f64 (hypot.f64 -1 (exp.f64 x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (exp.f64 (log1p.f64 (exp.f64 x))) (exp.f64 x)) (exp.f64 (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (expm1.f64 (.f64 x 4)) (exp.f64 (log1p.f64 (pow.f64 (exp.f64 2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (exp.f64 (log1p.f64 (exp.f64 x))) (expm1.f64 (+.f64 x x))) (exp.f64 (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (expm1.f64 (.f64 (.f64 3 (+.f64 x x)) 3)) (.f64 (+.f64 (pow.f64 (exp.f64 x) 12) (+.f64 (pow.f64 (exp.f64 x) 6) 1)) (+.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 2) x))) (pow.f64 (exp.f64 x) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (expm1.f64 (.f64 (.f64 3 (+.f64 x x)) 3)) (.f64 (+.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 2) x))) (pow.f64 (exp.f64 x) 4)) (+.f64 (pow.f64 (exp.f64 x) 12) (+.f64 (pow.f64 (exp.f64 x) 6) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (expm1.f64 (.f64 (.f64 x 4) 3)) (.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) 8) 1) (pow.f64 (exp.f64 x) 4)) (exp.f64 (log1p.f64 (pow.f64 (exp.f64 2) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (expm1.f64 (.f64 (.f64 x 4) 3)) (.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 2) x))) (+.f64 (+.f64 (pow.f64 (exp.f64 x) 8) 1) (pow.f64 (exp.f64 x) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (expm1.f64 (.f64 3 (+.f64 x x))) (.f64 (-.f64 (pow.f64 (exp.f64 2) x) (expm1.f64 x)) (exp.f64 (log1p.f64 (.f64 (exp.f64 (log1p.f64 (exp.f64 x))) (exp.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (expm1.f64 (+.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (expm1.f64 (.f64 3 (+.f64 x x))) (+.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 2) x))) (pow.f64 (exp.f64 x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (exp.f64 x) 6)) (-.f64 (-.f64 -1 (pow.f64 (exp.f64 2) x)) (pow.f64 (exp.f64 x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (expm1.f64 (.f64 x 4))) (-.f64 -1 (pow.f64 (exp.f64 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cbrt.f64 (expm1.f64 (.f64 3 (+.f64 x x)))) (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2))) (cbrt.f64 (+.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 2) x))) (pow.f64 (exp.f64 x) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (expm1.f64 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simplify6.9s (9.2%)

Algorithm

1×

egglog

Counts

577 → 793

Calls

Call 1

Inputs
(*.f64 2 x)
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 2 x))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 4/3 (pow.f64 x 3)) (*.f64 2 x)))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 (.f64 4/3 (pow.f64 x 3)) (.f64 2 x))))
x
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 2)) x))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) x)))
2
(+.f64 2 x)
(+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 2 (+.f64 (.f64 1/2 (pow.f64 x 2)) x)))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 1/6 (.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))) (pow.f64 x 3)) (sqrt.f64 2))) (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (.f64 1/2 (/.f64 x (sqrt.f64 2))))))
(*.f64 (expm1.f64 x) (exp.f64 (log1p.f64 (exp.f64 x))))
(*.f64 (expm1.f64 (+.f64 x x)) 1)
(*.f64 (exp.f64 (log1p.f64 (exp.f64 x))) (expm1.f64 x))
(*.f64 1 (expm1.f64 (+.f64 x x)))
(*.f64 (-.f64 1 (pow.f64 (exp.f64 x) 6)) (/.f64 1 (-.f64 (-.f64 -1 (pow.f64 (exp.f64 2) x)) (pow.f64 (exp.f64 x) 4))))
(.f64 (neg.f64 (expm1.f64 (.f64 x 4))) (/.f64 1 (-.f64 -1 (pow.f64 (exp.f64 2) x))))
(*.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)))
(*.f64 (neg.f64 (cbrt.f64 (expm1.f64 (+.f64 x x)))) (neg.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2))))
(.f64 (+.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 4)) (+.f64 1 (pow.f64 (exp.f64 x) 2/3))) (expm1.f64 (.f64 (+.f64 x x) 1/3)))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)) (cbrt.f64 (expm1.f64 (+.f64 x x))))
(*.f64 -1 (+.f64 1 (/.f64 (pow.f64 (exp.f64 2) x) -1)))
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(+.f64 (*.f64 (/.f64 1 (expm1.f64 x)) -1) (/.f64 (pow.f64 (exp.f64 2) x) (expm1.f64 x)))
(+.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) 4) (exp.f64 (log1p.f64 (pow.f64 (exp.f64 2) x)))) (expm1.f64 x)) (neg.f64 (/.f64 (pow.f64 (hypot.f64 -1 (exp.f64 x)) -2) (expm1.f64 x))))
(+.f64 (/.f64 (pow.f64 (exp.f64 x) 6) (/.f64 (expm1.f64 (.f64 3 (+.f64 x x))) (exp.f64 (log1p.f64 (exp.f64 x))))) (neg.f64 (pow.f64 (/.f64 (expm1.f64 (.f64 3 (+.f64 x x))) (exp.f64 (log1p.f64 (exp.f64 x)))) -1)))
(+.f64 (/.f64 (*.f64 (expm1.f64 x) (pow.f64 (exp.f64 2) x)) (pow.f64 (expm1.f64 x) 2)) (neg.f64 (/.f64 (expm1.f64 x) (pow.f64 (expm1.f64 x) 2))))
(+.f64 (/.f64 0 (expm1.f64 x)) (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(+.f64 (/.f64 0 (neg.f64 (expm1.f64 x))) (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(+.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) 6) (+.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 2) x))) (pow.f64 (exp.f64 x) 4))) (expm1.f64 x)) (neg.f64 (/.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (hypot.f64 (pow.f64 (exp.f64 2) x) (exp.f64 x)) 2)))) (expm1.f64 x))))
(+.f64 (/.f64 -1 (expm1.f64 x)) (neg.f64 (*.f64 (neg.f64 (pow.f64 (exp.f64 x) 2/3)) (/.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 4)) (expm1.f64 x)))))
(+.f64 (/.f64 -1 (expm1.f64 x)) (neg.f64 (*.f64 (neg.f64 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 2) x) (expm1.f64 x)))) (cbrt.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 2) x) (expm1.f64 x)) 2)))))
(+.f64 (/.f64 -1 (expm1.f64 x)) (neg.f64 (*.f64 (neg.f64 (pow.f64 (exp.f64 2) x)) (/.f64 1 (expm1.f64 x)))))
(+.f64 (/.f64 -1 (expm1.f64 x)) (neg.f64 (*.f64 (neg.f64 (/.f64 (exp.f64 x) (cbrt.f64 (expm1.f64 x)))) (/.f64 (exp.f64 x) (cbrt.f64 (pow.f64 (expm1.f64 x) 2))))))
(+.f64 (/.f64 -1 (expm1.f64 x)) (neg.f64 (*.f64 (/.f64 -1 (cbrt.f64 (expm1.f64 x))) (/.f64 (pow.f64 (exp.f64 2) x) (cbrt.f64 (pow.f64 (expm1.f64 x) 2))))))
(+.f64 (/.f64 -1 (expm1.f64 x)) (neg.f64 (*.f64 (neg.f64 (exp.f64 x)) (/.f64 (exp.f64 x) (expm1.f64 x)))))
(+.f64 0 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(fabs.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(fabs.f64 (*.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) -1))
(fabs.f64 (neg.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))
(*.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))
(*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) (neg.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) -1) (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) -1))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2/3))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2/3) (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))
(*.f64 (fabs.f64 (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2/3)) (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) (fabs.f64 (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2/3)))
(.f64 -1 (.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) -1))
(*.f64 -1 (neg.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))
(*.f64 1 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(*.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 1)
(-.f64 0 (*.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) -1))
(-.f64 0 (neg.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))
(/.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 1)
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(sqrt.f64 (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2))
(pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) 2)
(pow.f64 (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 3) 1/3)
(pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 1/2)
(pow.f64 (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2) 1/2)
(pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) 4)
(pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) 2)
(pow.f64 (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) -1) 2)
(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) 3)
(cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 3))
(neg.f64 (*.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) -1))
(neg.f64 (neg.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))
(neg.f64 (pow.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) 3))
(if (!=.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 0) (pow.f64 (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) -1) -1) (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))

Outputs
(*.f64 2 x)
(+.f64 x x)
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 2 x))
(.f64 2 (+.f64 (.f64 x x) x))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 4/3 (pow.f64 x 3)) (*.f64 2 x)))
(fma.f64 2 (*.f64 x x) (fma.f64 4/3 (pow.f64 x 3) (+.f64 x x)))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 (.f64 4/3 (pow.f64 x 3)) (.f64 2 x))))
(fma.f64 2 (*.f64 x x) (fma.f64 2/3 (pow.f64 x 4) (fma.f64 4/3 (pow.f64 x 3) (+.f64 x x))))
x
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(fma.f64 1/2 (*.f64 x x) x)
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 2)) x))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) x))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) x)))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 4) x)))
2
(+.f64 2 x)
(+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 2 (fma.f64 1/2 (*.f64 x x) x))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 2 (+.f64 (.f64 1/2 (pow.f64 x 2)) x)))
(fma.f64 1/6 (pow.f64 x 3) (+.f64 2 (fma.f64 1/2 (*.f64 x x) x)))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (.f64 1/2 (+.f64 (/.f64 (.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (*.f64 x x)) (sqrt.f64 2)) (/.f64 x (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 1/6 (.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))) (pow.f64 x 3)) (sqrt.f64 2))) (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (.f64 1/2 (/.f64 x (sqrt.f64 2))))))
(+.f64 (sqrt.f64 2) (fma.f64 1/2 (/.f64 (.f64 (-.f64 1/6 (/.f64 (.f64 1/2 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))) 2)) (pow.f64 x 3)) (sqrt.f64 2)) (.f64 1/2 (+.f64 (/.f64 (.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (*.f64 x x)) (sqrt.f64 2)) (/.f64 x (sqrt.f64 2))))))
(*.f64 (expm1.f64 x) (exp.f64 (log1p.f64 (exp.f64 x))))
(*.f64 (expm1.f64 (+.f64 x x)) 1)
(expm1.f64 (+.f64 x x))
(*.f64 (exp.f64 (log1p.f64 (exp.f64 x))) (expm1.f64 x))
(*.f64 (expm1.f64 x) (exp.f64 (log1p.f64 (exp.f64 x))))
(*.f64 1 (expm1.f64 (+.f64 x x)))
(expm1.f64 (+.f64 x x))
(*.f64 (-.f64 1 (pow.f64 (exp.f64 x) 6)) (/.f64 1 (-.f64 (-.f64 -1 (pow.f64 (exp.f64 2) x)) (pow.f64 (exp.f64 x) 4))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 x) 6)) (-.f64 -1 (+.f64 (pow.f64 (exp.f64 2) x) (pow.f64 (exp.f64 x) 4))))
(.f64 (neg.f64 (expm1.f64 (.f64 x 4))) (/.f64 1 (-.f64 -1 (pow.f64 (exp.f64 2) x))))
(neg.f64 (/.f64 (expm1.f64 (*.f64 x 4)) (-.f64 -1 (pow.f64 (exp.f64 2) x))))
(*.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)))
(expm1.f64 (+.f64 x x))
(*.f64 (neg.f64 (cbrt.f64 (expm1.f64 (+.f64 x x)))) (neg.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2))))
(.f64 (+.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 4)) (+.f64 1 (pow.f64 (exp.f64 x) 2/3))) (expm1.f64 (.f64 (+.f64 x x) 1/3)))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)) (cbrt.f64 (expm1.f64 (+.f64 x x))))
(expm1.f64 (+.f64 x x))
(*.f64 -1 (+.f64 1 (/.f64 (pow.f64 (exp.f64 2) x) -1)))
(+.f64 -1 (pow.f64 (exp.f64 2) x))
(.f64 (pow.f64 (exp.f64 2) x) (+.f64 1 (/.f64 (.f64 (pow.f64 (exp.f64 2) x) (neg.f64 (pow.f64 (exp.f64 x) -2))) (pow.f64 (exp.f64 2) x))))
(.f64 (pow.f64 (exp.f64 2) x) (+.f64 1 (/.f64 (neg.f64 (.f64 (pow.f64 (exp.f64 2) x) (pow.f64 (exp.f64 x) -2))) (pow.f64 (exp.f64 2) x))))
(.f64 (pow.f64 (exp.f64 2) x) (+.f64 1 (/.f64 (.f64 (neg.f64 (pow.f64 (exp.f64 x) -2)) (pow.f64 (exp.f64 2) x)) (pow.f64 (exp.f64 2) x))))
(.f64 (pow.f64 (exp.f64 2) x) (+.f64 1 (/.f64 (neg.f64 (.f64 (pow.f64 (exp.f64 2) x) (pow.f64 (exp.f64 x) -2))) (pow.f64 (exp.f64 2) x))))
(.f64 -1 (+.f64 1 (/.f64 (.f64 (neg.f64 (pow.f64 (exp.f64 2) x)) -1) -1)))
(fma.f64 (neg.f64 (pow.f64 (exp.f64 2) x)) -1 -1)
(.f64 (+.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)) (+.f64 0 (.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) 0))) (-.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) 0))
(expm1.f64 (+.f64 x x))
(.f64 (+.f64 0 (+.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)) (.f64 0 (neg.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))))))) (cbrt.f64 (expm1.f64 (+.f64 x x))))
(expm1.f64 (+.f64 x x))
(*.f64 (+.f64 0 (-.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)) 0)) (+.f64 0 (cbrt.f64 (expm1.f64 (+.f64 x x)))))
(expm1.f64 (+.f64 x x))
(*.f64 (neg.f64 (expm1.f64 (+.f64 x x))) -1)
(expm1.f64 (+.f64 x x))
(*.f64 (neg.f64 (expm1.f64 x)) (-.f64 -1 (exp.f64 x)))
(neg.f64 (*.f64 (-.f64 -1 (exp.f64 x)) (expm1.f64 x)))
(*.f64 (-.f64 1 (pow.f64 (exp.f64 x) -2)) (pow.f64 (exp.f64 2) x))
(*.f64 (pow.f64 (exp.f64 2) x) (-.f64 1 (pow.f64 (exp.f64 x) -2)))
(.f64 (pow.f64 (hypot.f64 -1 (exp.f64 x)) -2) (expm1.f64 (.f64 x 4)))
(.f64 (+.f64 1 (+.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 4)) (pow.f64 (exp.f64 x) 2/3))) (expm1.f64 (.f64 (+.f64 x x) 1/3)))
(*.f64 -1 (neg.f64 (expm1.f64 (+.f64 x x))))
(expm1.f64 (+.f64 x x))
(*.f64 (-.f64 -1 (exp.f64 x)) (neg.f64 (expm1.f64 x)))
(neg.f64 (*.f64 (-.f64 -1 (exp.f64 x)) (expm1.f64 x)))
(*.f64 (pow.f64 (exp.f64 2) x) (-.f64 1 (pow.f64 (exp.f64 x) -2)))
(.f64 (expm1.f64 (.f64 x 4)) (pow.f64 (hypot.f64 -1 (exp.f64 x)) -2))
(.f64 (pow.f64 (hypot.f64 -1 (exp.f64 x)) -2) (expm1.f64 (.f64 x 4)))
(.f64 (expm1.f64 (.f64 3 (+.f64 x x))) (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (hypot.f64 (pow.f64 (exp.f64 2) x) (exp.f64 x)) 2)))))
(.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (hypot.f64 (pow.f64 (exp.f64 2) x) (exp.f64 x)) 2)))) (expm1.f64 (.f64 3 (+.f64 x x))))
(.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (hypot.f64 (pow.f64 (exp.f64 2) x) (exp.f64 x)) 2)))) (expm1.f64 (.f64 3 (+.f64 x x))))
(expm1.f64 (+.f64 x x))
(expm1.f64 (.f64 (.f64 3 (+.f64 x x)) 1/3))
(-.f64 (expm1.f64 (+.f64 x x)) 0)
(expm1.f64 (+.f64 x x))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) 6) (+.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 2) x))) (pow.f64 (exp.f64 x) 4))) (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (hypot.f64 (pow.f64 (exp.f64 2) x) (exp.f64 x)) 2)))))
(-.f64 -1 (neg.f64 (pow.f64 (exp.f64 2) x)))
(-.f64 0 (neg.f64 (expm1.f64 (+.f64 x x))))
(expm1.f64 (+.f64 x x))
(-.f64 (pow.f64 (exp.f64 2) x) 1)
(expm1.f64 (+.f64 x x))
(-.f64 (*.f64 (neg.f64 (pow.f64 (exp.f64 2) x)) -1) 1)
(fma.f64 (neg.f64 (pow.f64 (exp.f64 2) x)) -1 (neg.f64 1))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) 4) (exp.f64 (log1p.f64 (pow.f64 (exp.f64 2) x)))) (pow.f64 (hypot.f64 -1 (exp.f64 x)) -2))
(-.f64 (*.f64 (exp.f64 (log1p.f64 (exp.f64 x))) (exp.f64 x)) (exp.f64 (log1p.f64 (exp.f64 x))))
(-.f64 (exp.f64 (+.f64 (log1p.f64 (exp.f64 x)) x)) (exp.f64 (log1p.f64 (exp.f64 x))))
(/.f64 (expm1.f64 (*.f64 x 4)) (exp.f64 (log1p.f64 (pow.f64 (exp.f64 2) x))))
(/.f64 (*.f64 (exp.f64 (log1p.f64 (exp.f64 x))) (expm1.f64 (+.f64 x x))) (exp.f64 (log1p.f64 (exp.f64 x))))
(/.f64 (*.f64 (expm1.f64 (+.f64 x x)) (exp.f64 (log1p.f64 (exp.f64 x)))) (exp.f64 (log1p.f64 (exp.f64 x))))
(/.f64 (expm1.f64 (.f64 (.f64 3 (+.f64 x x)) 3)) (*.f64 (+.f64 (pow.f64 (exp.f64 x) 12) (+.f64 (pow.f64 (exp.f64 x) 6) 1)) (+.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 2) x))) (pow.f64 (exp.f64 x) 4))))
(/.f64 (expm1.f64 (.f64 (.f64 3 (+.f64 x x)) 3)) (*.f64 (+.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 2) x))) (pow.f64 (exp.f64 x) 4)) (+.f64 (pow.f64 (exp.f64 x) 12) (+.f64 (pow.f64 (exp.f64 x) 6) 1))))
(/.f64 (expm1.f64 (.f64 (.f64 3 (+.f64 x x)) 3)) (*.f64 (+.f64 (pow.f64 (exp.f64 x) 12) (+.f64 (pow.f64 (exp.f64 x) 6) 1)) (+.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 2) x))) (pow.f64 (exp.f64 x) 4))))
(/.f64 (expm1.f64 (.f64 (.f64 x 4) 3)) (*.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) 8) 1) (pow.f64 (exp.f64 x) 4)) (exp.f64 (log1p.f64 (pow.f64 (exp.f64 2) x)))))
(/.f64 (expm1.f64 (.f64 (.f64 x 4) 3)) (*.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 2) x))) (+.f64 (+.f64 (pow.f64 (exp.f64 x) 8) 1) (pow.f64 (exp.f64 x) 4))))
(/.f64 (expm1.f64 (.f64 (.f64 x 4) 3)) (*.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) 8) 1) (pow.f64 (exp.f64 x) 4)) (exp.f64 (log1p.f64 (pow.f64 (exp.f64 2) x)))))
(/.f64 (expm1.f64 (.f64 3 (+.f64 x x))) (.f64 (-.f64 (pow.f64 (exp.f64 2) x) (expm1.f64 x)) (exp.f64 (log1p.f64 (*.f64 (exp.f64 (log1p.f64 (exp.f64 x))) (exp.f64 x))))))
(/.f64 (expm1.f64 (.f64 3 (+.f64 x x))) (.f64 (-.f64 (pow.f64 (exp.f64 2) x) (expm1.f64 x)) (exp.f64 (log1p.f64 (exp.f64 (+.f64 (log1p.f64 (exp.f64 x)) x))))))
(/.f64 (expm1.f64 (+.f64 x x)) 1)
(expm1.f64 (+.f64 x x))
(/.f64 (expm1.f64 (*.f64 3 (+.f64 x x))) (+.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 2) x))) (pow.f64 (exp.f64 x) 4)))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 x) 6)) (-.f64 (-.f64 -1 (pow.f64 (exp.f64 2) x)) (pow.f64 (exp.f64 x) 4)))
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(+.f64 (.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 (.f64 3 x))) (exp.f64 (log1p.f64 (pow.f64 (exp.f64 2) x)))) (.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 (.f64 3 x))) (exp.f64 x)))
(.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 (.f64 3 x))) (+.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 2) x))) (exp.f64 x)))
(+.f64 (.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 (.f64 3 x))) (pow.f64 (exp.f64 2) x)) (.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 (.f64 3 x))) (exp.f64 (log1p.f64 (exp.f64 x)))))
(.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 (.f64 3 x))) (+.f64 (exp.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (exp.f64 2) x)))
(+.f64 (.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 (.f64 3 x))) (exp.f64 (log1p.f64 (exp.f64 x)))) (.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 (.f64 3 x))) (pow.f64 (exp.f64 2) x)))
(.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 (.f64 3 x))) (+.f64 (exp.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (exp.f64 2) x)))
(+.f64 (/.f64 (pow.f64 (exp.f64 2) x) (expm1.f64 x)) (/.f64 -1 (expm1.f64 x)))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 2) x)) (expm1.f64 x))
(+.f64 (/.f64 -1 (expm1.f64 x)) (/.f64 (pow.f64 (exp.f64 2) x) (expm1.f64 x)))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 2) x)) (expm1.f64 x))
(+.f64 (/.f64 (pow.f64 (exp.f64 2) x) (expm1.f64 x)) (*.f64 (/.f64 1 (expm1.f64 x)) -1))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 2) x)) (expm1.f64 x))
(+.f64 (*.f64 (/.f64 1 (expm1.f64 x)) -1) (/.f64 (pow.f64 (exp.f64 2) x) (expm1.f64 x)))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 2) x)) (expm1.f64 x))
(+.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) 4) (exp.f64 (log1p.f64 (pow.f64 (exp.f64 2) x)))) (expm1.f64 x)) (neg.f64 (/.f64 (pow.f64 (hypot.f64 -1 (exp.f64 x)) -2) (expm1.f64 x))))
(/.f64 (-.f64 (/.f64 (pow.f64 (exp.f64 x) 4) (exp.f64 (log1p.f64 (pow.f64 (exp.f64 2) x)))) (pow.f64 (hypot.f64 -1 (exp.f64 x)) -2)) (expm1.f64 x))
(+.f64 (/.f64 (pow.f64 (exp.f64 x) 6) (/.f64 (expm1.f64 (.f64 3 (+.f64 x x))) (exp.f64 (log1p.f64 (exp.f64 x))))) (neg.f64 (pow.f64 (/.f64 (expm1.f64 (.f64 3 (+.f64 x x))) (exp.f64 (log1p.f64 (exp.f64 x)))) -1)))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) 6) (/.f64 (expm1.f64 (.f64 3 (+.f64 x x))) (exp.f64 (log1p.f64 (exp.f64 x))))) (/.f64 1 (/.f64 (expm1.f64 (.f64 3 (+.f64 x x))) (exp.f64 (log1p.f64 (exp.f64 x))))))
(+.f64 (/.f64 (*.f64 (expm1.f64 x) (pow.f64 (exp.f64 2) x)) (pow.f64 (expm1.f64 x) 2)) (neg.f64 (/.f64 (expm1.f64 x) (pow.f64 (expm1.f64 x) 2))))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(+.f64 (/.f64 0 (expm1.f64 x)) (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(+.f64 (/.f64 0 (neg.f64 (expm1.f64 x))) (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(+.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 x) 6) (+.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 2) x))) (pow.f64 (exp.f64 x) 4))) (expm1.f64 x)) (neg.f64 (/.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (hypot.f64 (pow.f64 (exp.f64 2) x) (exp.f64 x)) 2)))) (expm1.f64 x))))
(/.f64 (-.f64 (/.f64 (pow.f64 (exp.f64 x) 6) (+.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 2) x))) (pow.f64 (exp.f64 x) 4))) (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (hypot.f64 (pow.f64 (exp.f64 2) x) (exp.f64 x)) 2))))) (expm1.f64 x))
(+.f64 (/.f64 -1 (expm1.f64 x)) (neg.f64 (*.f64 (neg.f64 (pow.f64 (exp.f64 x) 2/3)) (/.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 4)) (expm1.f64 x)))))
(-.f64 (/.f64 -1 (expm1.f64 x)) (*.f64 (neg.f64 (pow.f64 (exp.f64 x) 2/3)) (/.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 4)) (expm1.f64 x))))
(+.f64 (/.f64 -1 (expm1.f64 x)) (neg.f64 (*.f64 (neg.f64 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 2) x) (expm1.f64 x)))) (cbrt.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 2) x) (expm1.f64 x)) 2)))))
(-.f64 (/.f64 -1 (expm1.f64 x)) (neg.f64 (*.f64 (cbrt.f64 (/.f64 (pow.f64 (exp.f64 2) x) (expm1.f64 x))) (cbrt.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 2) x) (expm1.f64 x)) 2)))))
(+.f64 (/.f64 -1 (expm1.f64 x)) (neg.f64 (*.f64 (neg.f64 (pow.f64 (exp.f64 2) x)) (/.f64 1 (expm1.f64 x)))))
(-.f64 (/.f64 -1 (expm1.f64 x)) (neg.f64 (/.f64 (pow.f64 (exp.f64 2) x) (expm1.f64 x))))
(+.f64 (/.f64 -1 (expm1.f64 x)) (neg.f64 (*.f64 (neg.f64 (/.f64 (exp.f64 x) (cbrt.f64 (expm1.f64 x)))) (/.f64 (exp.f64 x) (cbrt.f64 (pow.f64 (expm1.f64 x) 2))))))
(-.f64 (/.f64 -1 (expm1.f64 x)) (*.f64 (/.f64 (neg.f64 (exp.f64 x)) (cbrt.f64 (expm1.f64 x))) (/.f64 (exp.f64 x) (cbrt.f64 (pow.f64 (expm1.f64 x) 2)))))
(+.f64 (/.f64 -1 (expm1.f64 x)) (neg.f64 (*.f64 (/.f64 -1 (cbrt.f64 (expm1.f64 x))) (/.f64 (pow.f64 (exp.f64 2) x) (cbrt.f64 (pow.f64 (expm1.f64 x) 2))))))
(-.f64 (/.f64 -1 (expm1.f64 x)) (neg.f64 (/.f64 (pow.f64 (exp.f64 2) x) (expm1.f64 x))))
(+.f64 (/.f64 -1 (expm1.f64 x)) (neg.f64 (*.f64 (neg.f64 (exp.f64 x)) (/.f64 (exp.f64 x) (expm1.f64 x)))))
(-.f64 (/.f64 -1 (expm1.f64 x)) (/.f64 (*.f64 (neg.f64 (exp.f64 x)) (exp.f64 x)) (expm1.f64 x)))
(+.f64 0 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(fabs.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(fabs.f64 (*.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) -1))
(fabs.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(fabs.f64 (neg.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))
(fabs.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(*.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) (neg.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))))
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) -1) (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) -1))
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2/3))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2/3) (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2/3))
(*.f64 (fabs.f64 (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2/3)) (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) (fabs.f64 (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2/3)))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) (fabs.f64 (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2/3)))
(.f64 -1 (.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) -1))
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(*.f64 -1 (neg.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(*.f64 1 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(*.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 1)
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(-.f64 0 (*.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) -1))
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(-.f64 0 (neg.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(/.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 1)
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(sqrt.f64 (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2))
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) 2)
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(pow.f64 (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 3) 1/3)
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 1/2)
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(pow.f64 (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2) 1/2)
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) 4)
(pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) 2)
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(pow.f64 (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) -1) 2)
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 1)
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) 3)
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 3))
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(neg.f64 (*.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) -1))
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(neg.f64 (neg.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(neg.f64 (pow.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) 3))
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(if (!=.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 0) (pow.f64 (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) -1) -1) (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(if (!=.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 0) (/.f64 1 (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) -1)) (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))

eval471.0ms (0.6%)

Compiler: Compiled 33929 to 19318 computations (43.1% saved)

prune188.0ms (0.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	984	6	990
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	985	7	992

Error

Counts

992 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(sqrt.f64 (if (!=.f64 (expm1.f64 (+.f64 x x)) 0) (/.f64 1 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))) (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
	42.8b	(sqrt.f64 (/.f64 (*.f64 (-.f64 -1 (exp.f64 x)) (neg.f64 (expm1.f64 x))) (-.f64 (exp.f64 x) 1)))
▶	42.8b	(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (-.f64 (exp.f64 x) 1)))
✓	0.0b	(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
▶	20.4b	(sqrt.f64 (-.f64 x -2))
▶	19.5b	(sqrt.f64 (+.f64 2 (fma.f64 1/2 (*.f64 x x) x)))
▶	16.7b	(sqrt.f64 2)

Compiler

Compiled 147 to 96 computations (34.7% saved)

localize16.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (if (!=.f64 (expm1.f64 (+.f64 x x)) 0) (/.f64 1 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))) (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
	0.0b	(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
✓	0.0b	(/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))
✓	0.0b	(/.f64 1 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x))))

Compiler

Compiled 89 to 23 computations (74.2% saved)

series18.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))
0.0ms	x	@	-inf	(/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))
0.0ms	x	@	inf	(/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))
0.0ms	x	@	-inf	(sqrt.f64 (if (!=.f64 (expm1.f64 (+.f64 x x)) 0) (/.f64 1 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))) (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
0.0ms	x	@	inf	(sqrt.f64 (if (!=.f64 (expm1.f64 (+.f64 x x)) 0) (/.f64 1 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))) (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))

Compiler

Compiled 2620 to 1910 computations (27.1% saved)

rewrite1.5s (2%)

Algorithm

1×	batch-egg-rewrite

Rules

111×	`egg-rr`
62×	`egg-rr`
33×	`egg-rr`

Counts

3 → 206

Calls

Call 1

Inputs
(/.f64 1 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x))))
(/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))
(sqrt.f64 (if (!=.f64 (expm1.f64 (+.f64 x x)) 0) (/.f64 1 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))) (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))

Inputs

(/.f64 1 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x))))

(/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))

(sqrt.f64 (if (!=.f64 (expm1.f64 (+.f64 x x)) 0) (/.f64 1 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))) (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))

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

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simplify3.7s (4.9%)

Algorithm

1×

egglog

Counts

242 → 287

Calls

Call 1

Inputs
2
(+.f64 2 x)
(+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 2 (+.f64 (.f64 1/2 (pow.f64 x 2)) x)))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) (-.f64 (exp.f64 x) 1))
1/2
(+.f64 1/2 (*.f64 -1/4 x))
(+.f64 1/2 (+.f64 (.f64 -1/4 x) (.f64 1/48 (pow.f64 x 3))))
(+.f64 (.f64 -1/480 (pow.f64 x 5)) (+.f64 1/2 (+.f64 (.f64 -1/4 x) (*.f64 1/48 (pow.f64 x 3)))))
(/.f64 (-.f64 (exp.f64 x) 1) (-.f64 (exp.f64 (*.f64 2 x)) 1))
(/.f64 (-.f64 (exp.f64 x) 1) (-.f64 (exp.f64 (*.f64 2 x)) 1))
(/.f64 (-.f64 (exp.f64 x) 1) (-.f64 (exp.f64 (*.f64 2 x)) 1))
(/.f64 (-.f64 (exp.f64 x) 1) (-.f64 (exp.f64 (*.f64 2 x)) 1))
(/.f64 (-.f64 (exp.f64 x) 1) (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1))
(/.f64 (-.f64 (exp.f64 x) 1) (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1))
(/.f64 (-.f64 (exp.f64 x) 1) (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1))
(/.f64 (-.f64 (exp.f64 x) 1) (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1))
(sqrt.f64 (if (!=.f64 (expm1.f64 (.f64 2 x)) 0) (/.f64 (expm1.f64 (.f64 2 x)) (expm1.f64 x)) (/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))))
(sqrt.f64 (if (!=.f64 (expm1.f64 (.f64 2 x)) 0) (/.f64 (expm1.f64 (.f64 2 x)) (expm1.f64 x)) (/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))))
(sqrt.f64 (if (!=.f64 (expm1.f64 (.f64 2 x)) 0) (/.f64 (expm1.f64 (.f64 2 x)) (expm1.f64 x)) (/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))))
(sqrt.f64 (if (!=.f64 (expm1.f64 (.f64 2 x)) 0) (/.f64 (expm1.f64 (.f64 2 x)) (expm1.f64 x)) (/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))))
(sqrt.f64 (if (!=.f64 (expm1.f64 (.f64 2 x)) 0) (/.f64 (expm1.f64 (.f64 2 x)) (expm1.f64 x)) (/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))))
(sqrt.f64 (if (!=.f64 (expm1.f64 (.f64 2 x)) 0) (/.f64 (expm1.f64 (.f64 2 x)) (expm1.f64 x)) (/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))))
(sqrt.f64 (if (!=.f64 (expm1.f64 (.f64 2 x)) 0) (/.f64 (expm1.f64 (.f64 2 x)) (expm1.f64 x)) (/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))))
(sqrt.f64 (if (!=.f64 (expm1.f64 (.f64 2 x)) 0) (/.f64 (expm1.f64 (.f64 2 x)) (expm1.f64 x)) (/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))))
(sqrt.f64 (if (!=.f64 (expm1.f64 (neg.f64 (.f64 -2 x))) 0) (/.f64 (expm1.f64 (neg.f64 (.f64 -2 x))) (expm1.f64 x)) (/.f64 (expm1.f64 (neg.f64 (*.f64 -2 x))) (expm1.f64 x))))
(sqrt.f64 (if (!=.f64 (expm1.f64 (neg.f64 (.f64 -2 x))) 0) (/.f64 (expm1.f64 (neg.f64 (.f64 -2 x))) (expm1.f64 x)) (/.f64 (expm1.f64 (neg.f64 (*.f64 -2 x))) (expm1.f64 x))))
(sqrt.f64 (if (!=.f64 (expm1.f64 (neg.f64 (.f64 -2 x))) 0) (/.f64 (expm1.f64 (neg.f64 (.f64 -2 x))) (expm1.f64 x)) (/.f64 (expm1.f64 (neg.f64 (*.f64 -2 x))) (expm1.f64 x))))
(sqrt.f64 (if (!=.f64 (expm1.f64 (neg.f64 (.f64 -2 x))) 0) (/.f64 (expm1.f64 (neg.f64 (.f64 -2 x))) (expm1.f64 x)) (/.f64 (expm1.f64 (neg.f64 (*.f64 -2 x))) (expm1.f64 x))))
(*.f64 (/.f64 1 (expm1.f64 x)) (/.f64 -1 (/.f64 -1 (expm1.f64 (+.f64 x x)))))
(*.f64 (cbrt.f64 (/.f64 1 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x))))) (cbrt.f64 (pow.f64 (/.f64 1 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))) 2)))
(*.f64 (/.f64 -1 (/.f64 -1 (expm1.f64 (+.f64 x x)))) (/.f64 1 (expm1.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 1 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))) 2)) (cbrt.f64 (/.f64 1 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x))))))
(*.f64 -1 (/.f64 -1 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))))
(*.f64 (/.f64 -1 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))) -1)
(*.f64 1 (/.f64 1 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))))
(*.f64 (/.f64 1 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))) 1)
(-.f64 (/.f64 0 (neg.f64 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x))))) (/.f64 -1 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))))
(-.f64 0 (/.f64 -1 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))))
(/.f64 (/.f64 (/.f64 1 (expm1.f64 x)) (cbrt.f64 (/.f64 1 (expm1.f64 (+.f64 x x))))) (cbrt.f64 (pow.f64 (/.f64 -1 (expm1.f64 (+.f64 x x))) 2)))
(/.f64 (/.f64 1 (cbrt.f64 (/.f64 1 (expm1.f64 (+.f64 x x))))) (/.f64 (expm1.f64 x) (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2))))
(/.f64 (/.f64 (cbrt.f64 (/.f64 1 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x))))) (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x))) 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x))) 2)) 2)))
(/.f64 (/.f64 -1 (cbrt.f64 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x))))) (neg.f64 (cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x))) 2))))
(/.f64 (/.f64 (cbrt.f64 (/.f64 1 (expm1.f64 x))) (/.f64 1 (expm1.f64 (+.f64 x x)))) (cbrt.f64 (pow.f64 (expm1.f64 x) 2)))
(/.f64 (cbrt.f64 (pow.f64 (/.f64 1 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))) 2)) (cbrt.f64 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))))
(/.f64 (/.f64 -1 (cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x))) 2))) (neg.f64 (cbrt.f64 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x))))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 1 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))) 2)) -1) (neg.f64 (cbrt.f64 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x))))))
(/.f64 (/.f64 -1 (expm1.f64 x)) (/.f64 -1 (expm1.f64 (+.f64 x x))))
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(if (!=.f64 (+.f64 0 (+.f64 (pow.f64 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x))) 2) (.f64 0 (neg.f64 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x))))))) 0) (/.f64 (pow.f64 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x))) 3) (+.f64 0 (+.f64 (pow.f64 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x))) 2) (.f64 0 (neg.f64 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))))))) (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x))))
(if (!=.f64 (.f64 (/.f64 1 (expm1.f64 (+.f64 x x))) -1) 0) (/.f64 (+.f64 (pow.f64 (.f64 (/.f64 1 (expm1.f64 (+.f64 x x))) (exp.f64 x)) 3) (pow.f64 (.f64 (/.f64 1 (expm1.f64 (+.f64 x x))) -1) 3)) (+.f64 (.f64 (.f64 (/.f64 1 (expm1.f64 (+.f64 x x))) (exp.f64 x)) (.f64 (/.f64 1 (expm1.f64 (+.f64 x x))) (exp.f64 x))) (-.f64 (.f64 (.f64 (/.f64 1 (expm1.f64 (+.f64 x x))) -1) (.f64 (/.f64 1 (expm1.f64 (+.f64 x x))) -1)) (.f64 (.f64 (/.f64 1 (expm1.f64 (+.f64 x x))) (exp.f64 x)) (.f64 (/.f64 1 (expm1.f64 (+.f64 x x))) -1))))) (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x))))
(if (!=.f64 (/.f64 -1 (expm1.f64 (+.f64 x x))) 0) (/.f64 (+.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) 3) (pow.f64 (/.f64 -1 (expm1.f64 (+.f64 x x))) 3)) (+.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) 2) (-.f64 (pow.f64 (/.f64 -1 (expm1.f64 (+.f64 x x))) 2) (*.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) (/.f64 -1 (expm1.f64 (+.f64 x x))))))) (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x))))
(if (!=.f64 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x))) 0) (/.f64 (+.f64 0 (pow.f64 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x))) 3)) (+.f64 0 (-.f64 (pow.f64 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x))) 2) 0))) (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x))))
(if (!=.f64 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x))) 0) (/.f64 (-.f64 (pow.f64 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x))) 3) 0) (+.f64 (pow.f64 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x))) 2) (+.f64 0 (*.f64 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x))) 0)))) (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x))))
(if (!=.f64 (/.f64 0 (neg.f64 (expm1.f64 (+.f64 x x)))) 0) (/.f64 (-.f64 (pow.f64 (/.f64 0 (neg.f64 (expm1.f64 (+.f64 x x)))) 3) (neg.f64 (pow.f64 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x))) 3))) (+.f64 (.f64 (/.f64 0 (neg.f64 (expm1.f64 (+.f64 x x)))) (/.f64 0 (neg.f64 (expm1.f64 (+.f64 x x))))) (+.f64 (pow.f64 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x))) 2) (.f64 (/.f64 0 (neg.f64 (expm1.f64 (+.f64 x x)))) (neg.f64 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))))))) (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x))))
(if (!=.f64 0 0) (/.f64 (pow.f64 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x))) 3) (+.f64 0 (+.f64 (pow.f64 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x))) 2) (*.f64 0 (neg.f64 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))))))) (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x))))
(if (!=.f64 1 0) (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x))) (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x))))
(+.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) (/.f64 -1 (expm1.f64 (+.f64 x x))))
(+.f64 (.f64 (/.f64 1 (expm1.f64 (+.f64 x x))) (exp.f64 x)) (.f64 (/.f64 1 (expm1.f64 (+.f64 x x))) -1))
(+.f64 (/.f64 0 (neg.f64 (expm1.f64 (+.f64 x x)))) (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x))))
(+.f64 (.f64 (/.f64 1 (expm1.f64 (+.f64 x x))) -1) (.f64 (/.f64 1 (expm1.f64 (+.f64 x x))) (exp.f64 x)))
(+.f64 (/.f64 -1 (expm1.f64 (+.f64 x x))) (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))))
(+.f64 (neg.f64 (neg.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))))) (/.f64 -1 (expm1.f64 (+.f64 x x))))
(+.f64 (neg.f64 x) (+.f64 x (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))))
(+.f64 (neg.f64 (pow.f64 x 2)) (+.f64 (pow.f64 x 2) (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))))
(+.f64 0 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x))))
(+.f64 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x))) 0)
(fabs.f64 (sqrt.f64 (if (!=.f64 (expm1.f64 (+.f64 x x)) 0) (/.f64 1 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))) (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))
(fabs.f64 (neg.f64 (sqrt.f64 (if (!=.f64 (expm1.f64 (+.f64 x x)) 0) (/.f64 1 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))) (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))))
(fabs.f64 (*.f64 (sqrt.f64 (if (!=.f64 (expm1.f64 (+.f64 x x)) 0) (/.f64 1 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))) (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) -1))
(*.f64 (sqrt.f64 (sqrt.f64 (if (!=.f64 (expm1.f64 (+.f64 x x)) 0) (/.f64 1 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))) (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) (sqrt.f64 (sqrt.f64 (if (!=.f64 (expm1.f64 (+.f64 x x)) 0) (/.f64 1 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))) (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 (if (!=.f64 (expm1.f64 (+.f64 x x)) 0) (/.f64 1 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))) (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) -1) (*.f64 (sqrt.f64 (sqrt.f64 (if (!=.f64 (expm1.f64 (+.f64 x x)) 0) (/.f64 1 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))) (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) -1))
(*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (if (!=.f64 (expm1.f64 (+.f64 x x)) 0) (/.f64 1 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))) (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))) (neg.f64 (sqrt.f64 (sqrt.f64 (if (!=.f64 (expm1.f64 (+.f64 x x)) 0) (/.f64 1 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))) (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))))
(*.f64 (cbrt.f64 (sqrt.f64 (if (!=.f64 (expm1.f64 (+.f64 x x)) 0) (/.f64 1 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))) (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) (pow.f64 (sqrt.f64 (if (!=.f64 (expm1.f64 (+.f64 x x)) 0) (/.f64 1 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))) (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) 2/3))
(*.f64 (pow.f64 (sqrt.f64 (if (!=.f64 (expm1.f64 (+.f64 x x)) 0) (/.f64 1 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))) (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) 2/3) (cbrt.f64 (sqrt.f64 (if (!=.f64 (expm1.f64 (+.f64 x x)) 0) (/.f64 1 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))) (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))))
(*.f64 (fabs.f64 (pow.f64 (sqrt.f64 (if (!=.f64 (expm1.f64 (+.f64 x x)) 0) (/.f64 1 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))) (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) 2/3)) (cbrt.f64 (sqrt.f64 (if (!=.f64 (expm1.f64 (+.f64 x x)) 0) (/.f64 1 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))) (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))))
(*.f64 (cbrt.f64 (sqrt.f64 (if (!=.f64 (expm1.f64 (+.f64 x x)) 0) (/.f64 1 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))) (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) (fabs.f64 (pow.f64 (sqrt.f64 (if (!=.f64 (expm1.f64 (+.f64 x x)) 0) (/.f64 1 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))) (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) 2/3)))
(*.f64 -1 (neg.f64 (sqrt.f64 (if (!=.f64 (expm1.f64 (+.f64 x x)) 0) (/.f64 1 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))) (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))))
(.f64 -1 (.f64 (sqrt.f64 (if (!=.f64 (expm1.f64 (+.f64 x x)) 0) (/.f64 1 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))) (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) -1))
(*.f64 1 (sqrt.f64 (if (!=.f64 (expm1.f64 (+.f64 x x)) 0) (/.f64 1 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))) (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))
(*.f64 (sqrt.f64 (if (!=.f64 (expm1.f64 (+.f64 x x)) 0) (/.f64 1 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))) (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) 1)
(-.f64 0 (neg.f64 (sqrt.f64 (if (!=.f64 (expm1.f64 (+.f64 x x)) 0) (/.f64 1 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))) (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))))
(-.f64 0 (*.f64 (sqrt.f64 (if (!=.f64 (expm1.f64 (+.f64 x x)) 0) (/.f64 1 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))) (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) -1))
(/.f64 (sqrt.f64 (if (!=.f64 (expm1.f64 (+.f64 x x)) 0) (/.f64 1 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))) (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) 1)
(sqrt.f64 (if (!=.f64 (expm1.f64 (+.f64 x x)) 0) (/.f64 1 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))) (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(sqrt.f64 (pow.f64 (sqrt.f64 (if (!=.f64 (expm1.f64 (+.f64 x x)) 0) (/.f64 1 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))) (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) 2))
(pow.f64 (pow.f64 (sqrt.f64 (if (!=.f64 (expm1.f64 (+.f64 x x)) 0) (/.f64 1 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))) (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) 3) 1/3)
(pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (if (!=.f64 (expm1.f64 (+.f64 x x)) 0) (/.f64 1 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))) (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))) 4)
(pow.f64 (if (!=.f64 (expm1.f64 (+.f64 x x)) 0) (/.f64 1 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))) (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 1/2)
(pow.f64 (pow.f64 (sqrt.f64 (if (!=.f64 (expm1.f64 (+.f64 x x)) 0) (/.f64 1 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))) (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) 2) 1/2)
(pow.f64 (cbrt.f64 (sqrt.f64 (if (!=.f64 (expm1.f64 (+.f64 x x)) 0) (/.f64 1 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))) (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) 3)
(pow.f64 (sqrt.f64 (sqrt.f64 (if (!=.f64 (expm1.f64 (+.f64 x x)) 0) (/.f64 1 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))) (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) 2)
(pow.f64 (*.f64 (sqrt.f64 (sqrt.f64 (if (!=.f64 (expm1.f64 (+.f64 x x)) 0) (/.f64 1 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))) (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) -1) 2)
(pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (if (!=.f64 (expm1.f64 (+.f64 x x)) 0) (/.f64 1 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))) (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))) 2)
(pow.f64 (sqrt.f64 (if (!=.f64 (expm1.f64 (+.f64 x x)) 0) (/.f64 1 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))) (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) 1)
(cbrt.f64 (pow.f64 (sqrt.f64 (if (!=.f64 (expm1.f64 (+.f64 x x)) 0) (/.f64 1 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))) (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) 3))
(neg.f64 (*.f64 (sqrt.f64 (if (!=.f64 (expm1.f64 (+.f64 x x)) 0) (/.f64 1 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))) (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) -1))
(neg.f64 (neg.f64 (sqrt.f64 (if (!=.f64 (expm1.f64 (+.f64 x x)) 0) (/.f64 1 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))) (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))))
(neg.f64 (pow.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (if (!=.f64 (expm1.f64 (+.f64 x x)) 0) (/.f64 1 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))) (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))) 3))
(if (!=.f64 (sqrt.f64 (if (!=.f64 (expm1.f64 (+.f64 x x)) 0) (/.f64 1 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))) (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) 0) (pow.f64 (pow.f64 (sqrt.f64 (if (!=.f64 (expm1.f64 (+.f64 x x)) 0) (/.f64 1 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))) (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) -1) -1) (sqrt.f64 (if (!=.f64 (expm1.f64 (+.f64 x x)) 0) (/.f64 1 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))) (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))

Outputs
2
(+.f64 2 x)
(-.f64 x -2)
(+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(-.f64 (fma.f64 1/2 (pow.f64 x 2) x) -2)
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 2 (+.f64 (.f64 1/2 (pow.f64 x 2)) x)))
(fma.f64 1/6 (pow.f64 x 3) (-.f64 (fma.f64 1/2 (pow.f64 x 2) x) -2))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
(/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
(/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
(/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
(/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
1/2
(+.f64 1/2 (*.f64 -1/4 x))
(+.f64 1/2 (+.f64 (.f64 -1/4 x) (.f64 1/48 (pow.f64 x 3))))
(+.f64 1/2 (fma.f64 -1/4 x (*.f64 1/48 (pow.f64 x 3))))
(+.f64 (.f64 -1/480 (pow.f64 x 5)) (+.f64 1/2 (+.f64 (.f64 -1/4 x) (*.f64 1/48 (pow.f64 x 3)))))
(fma.f64 -1/480 (pow.f64 x 5) (+.f64 1/2 (fma.f64 -1/4 x (*.f64 1/48 (pow.f64 x 3)))))
(/.f64 (-.f64 (exp.f64 x) 1) (-.f64 (exp.f64 (*.f64 2 x)) 1))
(/.f64 (expm1.f64 x) (expm1.f64 (*.f64 2 x)))
(/.f64 (-.f64 (exp.f64 x) 1) (-.f64 (exp.f64 (*.f64 2 x)) 1))
(/.f64 (expm1.f64 x) (expm1.f64 (*.f64 2 x)))
(/.f64 (-.f64 (exp.f64 x) 1) (-.f64 (exp.f64 (*.f64 2 x)) 1))
(/.f64 (expm1.f64 x) (expm1.f64 (*.f64 2 x)))
(/.f64 (-.f64 (exp.f64 x) 1) (-.f64 (exp.f64 (*.f64 2 x)) 1))
(/.f64 (expm1.f64 x) (expm1.f64 (*.f64 2 x)))
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(sqrt.f64 (if (!=.f64 (expm1.f64 (.f64 2 x)) 0) (/.f64 1 (/.f64 (expm1.f64 x) (expm1.f64 (.f64 2 x)))) (/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))))
(pow.f64 (cbrt.f64 (sqrt.f64 (if (!=.f64 (expm1.f64 (+.f64 x x)) 0) (/.f64 1 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))) (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) 3)
(sqrt.f64 (if (!=.f64 (expm1.f64 (.f64 2 x)) 0) (/.f64 1 (/.f64 (expm1.f64 x) (expm1.f64 (.f64 2 x)))) (/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))))
(pow.f64 (sqrt.f64 (sqrt.f64 (if (!=.f64 (expm1.f64 (+.f64 x x)) 0) (/.f64 1 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))) (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) 2)
(sqrt.f64 (if (!=.f64 (expm1.f64 (.f64 2 x)) 0) (/.f64 1 (/.f64 (expm1.f64 x) (expm1.f64 (.f64 2 x)))) (/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))))
(pow.f64 (*.f64 (sqrt.f64 (sqrt.f64 (if (!=.f64 (expm1.f64 (+.f64 x x)) 0) (/.f64 1 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))) (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) -1) 2)
(sqrt.f64 (if (!=.f64 (expm1.f64 (.f64 2 x)) 0) (/.f64 1 (/.f64 (expm1.f64 x) (expm1.f64 (.f64 2 x)))) (/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))))
(pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (if (!=.f64 (expm1.f64 (+.f64 x x)) 0) (/.f64 1 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))) (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))) 2)
(sqrt.f64 (if (!=.f64 (expm1.f64 (.f64 2 x)) 0) (/.f64 1 (/.f64 (expm1.f64 x) (expm1.f64 (.f64 2 x)))) (/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))))
(pow.f64 (sqrt.f64 (if (!=.f64 (expm1.f64 (+.f64 x x)) 0) (/.f64 1 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))) (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) 1)
(sqrt.f64 (if (!=.f64 (expm1.f64 (.f64 2 x)) 0) (/.f64 1 (/.f64 (expm1.f64 x) (expm1.f64 (.f64 2 x)))) (/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))))
(cbrt.f64 (pow.f64 (sqrt.f64 (if (!=.f64 (expm1.f64 (+.f64 x x)) 0) (/.f64 1 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))) (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) 3))
(sqrt.f64 (if (!=.f64 (expm1.f64 (.f64 2 x)) 0) (/.f64 1 (/.f64 (expm1.f64 x) (expm1.f64 (.f64 2 x)))) (/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))))
(neg.f64 (*.f64 (sqrt.f64 (if (!=.f64 (expm1.f64 (+.f64 x x)) 0) (/.f64 1 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))) (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) -1))
(sqrt.f64 (if (!=.f64 (expm1.f64 (.f64 2 x)) 0) (/.f64 1 (/.f64 (expm1.f64 x) (expm1.f64 (.f64 2 x)))) (/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))))
(neg.f64 (neg.f64 (sqrt.f64 (if (!=.f64 (expm1.f64 (+.f64 x x)) 0) (/.f64 1 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))) (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))))
(sqrt.f64 (if (!=.f64 (expm1.f64 (.f64 2 x)) 0) (/.f64 1 (/.f64 (expm1.f64 x) (expm1.f64 (.f64 2 x)))) (/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))))
(neg.f64 (pow.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (if (!=.f64 (expm1.f64 (+.f64 x x)) 0) (/.f64 1 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))) (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))) 3))
(sqrt.f64 (if (!=.f64 (expm1.f64 (.f64 2 x)) 0) (/.f64 1 (/.f64 (expm1.f64 x) (expm1.f64 (.f64 2 x)))) (/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))))
(if (!=.f64 (sqrt.f64 (if (!=.f64 (expm1.f64 (+.f64 x x)) 0) (/.f64 1 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))) (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) 0) (pow.f64 (pow.f64 (sqrt.f64 (if (!=.f64 (expm1.f64 (+.f64 x x)) 0) (/.f64 1 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))) (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) -1) -1) (sqrt.f64 (if (!=.f64 (expm1.f64 (+.f64 x x)) 0) (/.f64 1 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))) (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))
(if (!=.f64 (sqrt.f64 (if (!=.f64 (expm1.f64 (.f64 2 x)) 0) (/.f64 1 (/.f64 (expm1.f64 x) (expm1.f64 (.f64 2 x)))) (/.f64 (expm1.f64 (.f64 2 x)) (expm1.f64 x)))) 0) (/.f64 1 (pow.f64 (sqrt.f64 (if (!=.f64 (expm1.f64 (.f64 2 x)) 0) (/.f64 1 (/.f64 (expm1.f64 x) (expm1.f64 (.f64 2 x)))) (/.f64 (expm1.f64 (.f64 2 x)) (expm1.f64 x)))) -1)) (sqrt.f64 (if (!=.f64 (expm1.f64 (.f64 2 x)) 0) (/.f64 1 (/.f64 (expm1.f64 x) (expm1.f64 (.f64 2 x)))) (/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x)))))

localize2.0ms (0%)

Compiler: Compiled 4 to 4 computations (0% saved)

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 10 to 7 computations (30% saved)

series20.0ms (0%)

Counts

1 → 2

Calls

3 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	(sqrt.f64 (-.f64 x -2))
1.0ms	x	@	inf	(sqrt.f64 (-.f64 x -2))
0.0ms	x	@	-inf	(sqrt.f64 (-.f64 x -2))

Compiler

Compiled 1470 to 1175 computations (20.1% saved)

rewrite1.4s (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

44× egg-rr

Counts

1 → 44

Calls

Call 1

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

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

Outputs

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

simplify1.9s (2.6%)

Algorithm

1×

egglog

Counts

46 → 54

Calls

Call 1

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

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

localize14.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 1/2 (*.f64 x x) x)
✓	8.4b	(sqrt.f64 (+.f64 2 (fma.f64 1/2 (*.f64 x x) x)))

Compiler

Compiled 30 to 15 computations (50% saved)

series20.0ms (0%)

Counts

2 → 16

Calls

6 calls:

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

Compiler

Compiled 1880 to 1675 computations (10.9% saved)

rewrite1.5s (2%)

Algorithm

1×	batch-egg-rewrite

Rules

118×	`egg-rr`
24×	`egg-rr`

Counts

2 → 142

Calls

Call 1

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

Outputs

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simplify3.3s (4.4%)

Algorithm

1×

egglog

Counts

158 → 194

Calls

Call 1

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

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

localize12.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (-.f64 (exp.f64 x) 1)))
✓	0.0b	(/.f64 (expm1.f64 (+.f64 x x)) (-.f64 (exp.f64 x) 1))
	4.7b	(-.f64 (exp.f64 x) 1)

Compiler

Compiled 35 to 14 computations (60% saved)

series13.0ms (0%)

Counts

2 → 22

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(/.f64 (expm1.f64 (+.f64 x x)) (-.f64 (exp.f64 x) 1))
0.0ms	x	@	inf	(/.f64 (expm1.f64 (+.f64 x x)) (-.f64 (exp.f64 x) 1))
0.0ms	x	@	-inf	(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (-.f64 (exp.f64 x) 1)))
0.0ms	x	@	inf	(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (-.f64 (exp.f64 x) 1)))
0.0ms	x	@	0	(/.f64 (expm1.f64 (+.f64 x x)) (-.f64 (exp.f64 x) 1))

Compiler

Compiled 1570 to 1275 computations (18.8% saved)

rewrite1.5s (2%)

Algorithm

1×	batch-egg-rewrite

Rules

99×	`egg-rr`
33×	`egg-rr`

Counts

2 → 132

Calls

Call 1

Inputs
(/.f64 (expm1.f64 (+.f64 x x)) (-.f64 (exp.f64 x) 1))
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (-.f64 (exp.f64 x) 1)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 2)) (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (cbrt.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)) (expm1.f64 x)) (cbrt.f64 (expm1.f64 (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) (/.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)) (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (/.f64 -1 (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (expm1.f64 x)) (neg.f64 (expm1.f64 (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (+.f64 x x)) (/.f64 1 (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (expm1.f64 (+.f64 x x)) (cbrt.f64 (expm1.f64 x))) (cbrt.f64 (pow.f64 (/.f64 1 (expm1.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (expm1.f64 x))) (/.f64 (expm1.f64 (+.f64 x x)) (cbrt.f64 (pow.f64 (expm1.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (expm1.f64 x)) (expm1.f64 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (expm1.f64 (+.f64 x x)) (cbrt.f64 (pow.f64 (expm1.f64 x) 2))) (cbrt.f64 (/.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 (+.f64 x x))) (exp.f64 (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (log1p.f64 (exp.f64 (+.f64 (log1p.f64 (exp.f64 x)) x)))) (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 (*.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 (*.f64 3 x))) (exp.f64 (log1p.f64 (exp.f64 (+.f64 (log1p.f64 (exp.f64 x)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 -1 (expm1.f64 x)) (/.f64 (pow.f64 (exp.f64 2) x) (neg.f64 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (neg.f64 (expm1.f64 x))) (neg.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (exp.f64 2) x) (expm1.f64 x)) (/.f64 1 (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (expm1.f64 (*.f64 2 (*.f64 3 x))) (cbrt.f64 (expm1.f64 x))) (*.f64 (+.f64 (pow.f64 (exp.f64 x) 4) (+.f64 1 (pow.f64 (exp.f64 2) x))) (cbrt.f64 (pow.f64 (expm1.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (expm1.f64 (*.f64 2 (*.f64 3 x))) -1) (*.f64 (+.f64 (pow.f64 (exp.f64 x) 4) (+.f64 1 (pow.f64 (exp.f64 2) x))) (neg.f64 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 2) x) (cbrt.f64 (pow.f64 (expm1.f64 x) 2))) (/.f64 (expm1.f64 x) (cbrt.f64 (expm1.f64 x)))) (*.f64 (expm1.f64 x) (cbrt.f64 (pow.f64 (expm1.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 (exp.f64 2) x) (neg.f64 (expm1.f64 x))) (expm1.f64 x)) (*.f64 (expm1.f64 x) (neg.f64 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (expm1.f64 (+.f64 x x)) (cbrt.f64 (expm1.f64 x))) (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (expm1.f64 (+.f64 x x)) (neg.f64 (cbrt.f64 (expm1.f64 x)))) 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((#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (neg.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) (neg.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) -1) (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2/3) (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2/3)) (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) (fabs.f64 (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) -1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (pow.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 0) (pow.f64 (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) -1) -1) (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))))))

simplify3.2s (4.2%)

Algorithm

1×

egglog

Counts

154 → 187

Calls

Call 1

Inputs
2
(+.f64 2 x)
(+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 2 (+.f64 (.f64 1/2 (pow.f64 x 2)) x)))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) (-.f64 (exp.f64 x) 1))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 1/6 (.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))) (pow.f64 x 3)) (sqrt.f64 2))) (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (.f64 1/2 (/.f64 x (sqrt.f64 2))))))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) (-.f64 (exp.f64 x) 1)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 2)) (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (cbrt.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)) (expm1.f64 x)) (cbrt.f64 (expm1.f64 (+.f64 x x))))
(*.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) (/.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)) (expm1.f64 x)))
(*.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (/.f64 -1 (expm1.f64 x)))
(*.f64 (/.f64 -1 (expm1.f64 x)) (neg.f64 (expm1.f64 (+.f64 x x))))
(*.f64 (expm1.f64 (+.f64 x x)) (/.f64 1 (expm1.f64 x)))
(*.f64 (/.f64 (expm1.f64 (+.f64 x x)) (cbrt.f64 (expm1.f64 x))) (cbrt.f64 (pow.f64 (/.f64 1 (expm1.f64 x)) 2)))
(*.f64 (cbrt.f64 (/.f64 1 (expm1.f64 x))) (/.f64 (expm1.f64 (+.f64 x x)) (cbrt.f64 (pow.f64 (expm1.f64 x) 2))))
(*.f64 (/.f64 1 (expm1.f64 x)) (expm1.f64 (+.f64 x x)))
(*.f64 (/.f64 (expm1.f64 (+.f64 x x)) (cbrt.f64 (pow.f64 (expm1.f64 x) 2))) (cbrt.f64 (/.f64 1 (expm1.f64 x))))
(*.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 (+.f64 x x))) (exp.f64 (log1p.f64 (exp.f64 x))))
(*.f64 -1 (neg.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(.f64 (exp.f64 (log1p.f64 (exp.f64 (+.f64 (log1p.f64 (exp.f64 x)) x)))) (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 (.f64 3 x))))
(.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 (.f64 3 x))) (exp.f64 (log1p.f64 (exp.f64 (+.f64 (log1p.f64 (exp.f64 x)) x)))))
(*.f64 1 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(*.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 1)
(-.f64 (/.f64 -1 (expm1.f64 x)) (/.f64 (pow.f64 (exp.f64 2) x) (neg.f64 (expm1.f64 x))))
(-.f64 (/.f64 0 (neg.f64 (expm1.f64 x))) (neg.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(-.f64 (/.f64 (pow.f64 (exp.f64 2) x) (expm1.f64 x)) (/.f64 1 (expm1.f64 x)))
(-.f64 0 (neg.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(/.f64 (/.f64 (expm1.f64 (.f64 2 (.f64 3 x))) (cbrt.f64 (expm1.f64 x))) (*.f64 (+.f64 (pow.f64 (exp.f64 x) 4) (+.f64 1 (pow.f64 (exp.f64 2) x))) (cbrt.f64 (pow.f64 (expm1.f64 x) 2))))
(/.f64 (/.f64 (expm1.f64 (.f64 2 (.f64 3 x))) -1) (*.f64 (+.f64 (pow.f64 (exp.f64 x) 4) (+.f64 1 (pow.f64 (exp.f64 2) x))) (neg.f64 (expm1.f64 x))))
(/.f64 (-.f64 (.f64 (pow.f64 (exp.f64 2) x) (cbrt.f64 (pow.f64 (expm1.f64 x) 2))) (/.f64 (expm1.f64 x) (cbrt.f64 (expm1.f64 x)))) (.f64 (expm1.f64 x) (cbrt.f64 (pow.f64 (expm1.f64 x) 2))))
(/.f64 (+.f64 (.f64 (pow.f64 (exp.f64 2) x) (neg.f64 (expm1.f64 x))) (expm1.f64 x)) (.f64 (expm1.f64 x) (neg.f64 (expm1.f64 x))))
(/.f64 (/.f64 (/.f64 (expm1.f64 (+.f64 x x)) (cbrt.f64 (expm1.f64 x))) (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2)) 2)))
(/.f64 (/.f64 (expm1.f64 (+.f64 x x)) (neg.f64 (cbrt.f64 (expm1.f64 x)))) (neg.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2))))
(/.f64 (*.f64 (cbrt.f64 (/.f64 1 (expm1.f64 x))) (expm1.f64 (+.f64 x x))) (cbrt.f64 (pow.f64 (expm1.f64 x) 2)))
(/.f64 (*.f64 (neg.f64 (cbrt.f64 (expm1.f64 (+.f64 x x)))) (cbrt.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 2))) (neg.f64 (cbrt.f64 (expm1.f64 x))))
(/.f64 (*.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) (cbrt.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 2))) (cbrt.f64 (expm1.f64 x)))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 2)) (neg.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))))) (neg.f64 (cbrt.f64 (expm1.f64 x))))
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(fabs.f64 (*.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) -1))
(*.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))
(*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) (neg.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) -1) (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) -1))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2/3))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2/3) (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))
(*.f64 (fabs.f64 (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2/3)) (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) (fabs.f64 (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2/3)))
(*.f64 -1 (neg.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))
(.f64 -1 (.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) -1))
(*.f64 1 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(*.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 1)
(-.f64 0 (neg.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))
(-.f64 0 (*.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) -1))
(/.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 1)
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(sqrt.f64 (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2))
(pow.f64 (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) 4)
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) 3)
(pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 1/2)
(pow.f64 (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2) 1/2)
(pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) 2)
(pow.f64 (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) -1) 2)
(pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) 2)
(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 1)
(cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 3))
(neg.f64 (*.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) -1))
(neg.f64 (neg.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))
(neg.f64 (pow.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) 3))
(if (!=.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 0) (pow.f64 (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) -1) -1) (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))

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

eval520.0ms (0.7%)

Compiler: Compiled 38627 to 19332 computations (50% saved)

prune247.0ms (0.3%)

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	1119	3	1122
Fresh	0	1	1
Picked	0	1	1
Done	1	4	5
Total	1120	9	1129

Error

Counts

1129 → 9

Alt Table

Click to see full alt table

Status	Error	Program
▶	19.6b	(+.f64 (sqrt.f64 2) (.f64 1/2 (/.f64 (+.f64 (.f64 (-.f64 1/2 1/8) (*.f64 x x)) x) (sqrt.f64 2))))
▶	61.9b	(*.f64 (sqrt.f64 1/2) x)
✓	0.0b	(sqrt.f64 (if (!=.f64 (expm1.f64 (+.f64 x x)) 0) (/.f64 1 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))) (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
▶	42.8b	(sqrt.f64 (/.f64 (*.f64 (-.f64 -1 (exp.f64 x)) (neg.f64 (expm1.f64 x))) (-.f64 (exp.f64 x) 1)))
✓	42.8b	(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (-.f64 (exp.f64 x) 1)))
✓	0.0b	(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
✓	20.4b	(sqrt.f64 (-.f64 x -2))
▶	19.5b	(sqrt.f64 (+.f64 2 (.f64 (.f64 1/2 (+.f64 2 x)) x)))
✓	16.7b	(sqrt.f64 2)

Compiler

Compiled 102 to 72 computations (29.4% saved)

localize15.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (.f64 1/2 (+.f64 2 x)) x)
✓	8.4b	(sqrt.f64 (+.f64 2 (.f64 (.f64 1/2 (+.f64 2 x)) x)))

Compiler

Compiled 38 to 29 computations (23.7% saved)

series17.0ms (0%)

Counts

2 → 16

Calls

6 calls:

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

Compiler

Compiled 1880 to 1675 computations (10.9% saved)

rewrite1.5s (2%)

Algorithm

1×	batch-egg-rewrite

Rules

70×	`egg-rr`
33×	`egg-rr`

Counts

2 → 103

Calls

Call 1

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

Outputs

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

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

simplify2.5s (3.3%)

Algorithm

1×

egglog

Counts

119 → 147

Calls

Call 1

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

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

localize30.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 -1 (exp.f64 x))
✓	0.0b	(/.f64 (*.f64 (-.f64 -1 (exp.f64 x)) (neg.f64 (expm1.f64 x))) (-.f64 (exp.f64 x) 1))
✓	0.0b	(*.f64 (-.f64 -1 (exp.f64 x)) (neg.f64 (expm1.f64 x)))
	4.7b	(-.f64 (exp.f64 x) 1)

Compiler

Compiled 54 to 26 computations (51.9% saved)

series13.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

Compiler

Compiled 1320 to 895 computations (32.2% saved)

rewrite1.6s (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

172×	`egg-rr`
115×	`egg-rr`
79×	`egg-rr`

Counts

3 → 366

Calls

Call 1

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

Outputs

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

simplify5.2s (6.9%)

Algorithm

1×

egglog

Counts

402 → 444

Calls

Call 1

Inputs
(*.f64 2 x)
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 2 x))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 4/3 (pow.f64 x 3)) (*.f64 2 x)))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 (.f64 4/3 (pow.f64 x 3)) (.f64 2 x))))
(*.f64 (-.f64 (exp.f64 x) 1) (+.f64 1 (exp.f64 x)))
(*.f64 (-.f64 (exp.f64 x) 1) (+.f64 1 (exp.f64 x)))
(*.f64 (-.f64 (exp.f64 x) 1) (+.f64 1 (exp.f64 x)))
(*.f64 (-.f64 (exp.f64 x) 1) (+.f64 1 (exp.f64 x)))
(*.f64 (-.f64 (exp.f64 x) 1) (+.f64 1 (exp.f64 x)))
(*.f64 (-.f64 (exp.f64 x) 1) (+.f64 1 (exp.f64 x)))
(*.f64 (-.f64 (exp.f64 x) 1) (+.f64 1 (exp.f64 x)))
(*.f64 (-.f64 (exp.f64 x) 1) (+.f64 1 (exp.f64 x)))
2
(+.f64 2 x)
(+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 2 (+.f64 (.f64 1/2 (pow.f64 x 2)) x)))
(+.f64 1 (exp.f64 x))
(+.f64 1 (exp.f64 x))
(+.f64 1 (exp.f64 x))
(+.f64 1 (exp.f64 x))
(+.f64 1 (exp.f64 x))
(+.f64 1 (exp.f64 x))
(+.f64 1 (exp.f64 x))
(+.f64 1 (exp.f64 x))
-2
(-.f64 (*.f64 -1 x) 2)
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 2)
(-.f64 (+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))) 2)
(*.f64 -1 (+.f64 1 (exp.f64 x)))
(*.f64 -1 (+.f64 1 (exp.f64 x)))
(*.f64 -1 (+.f64 1 (exp.f64 x)))
(*.f64 -1 (+.f64 1 (exp.f64 x)))
(*.f64 -1 (+.f64 1 (exp.f64 x)))
(*.f64 -1 (+.f64 1 (exp.f64 x)))
(*.f64 -1 (+.f64 1 (exp.f64 x)))
(*.f64 -1 (+.f64 1 (exp.f64 x)))
(.f64 (cbrt.f64 (-.f64 -1 (exp.f64 x))) (.f64 (pow.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 2/3) (neg.f64 (expm1.f64 x))))
(.f64 (neg.f64 (cbrt.f64 (expm1.f64 x))) (.f64 (-.f64 -1 (exp.f64 x)) (cbrt.f64 (pow.f64 (expm1.f64 x) 2))))
(.f64 (.f64 (+.f64 1 (pow.f64 (exp.f64 3) x)) (expm1.f64 x)) (pow.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1) -1))
(.f64 (.f64 (-.f64 -1 (exp.f64 x)) (cbrt.f64 (pow.f64 (expm1.f64 x) 2))) (neg.f64 (cbrt.f64 (expm1.f64 x))))
(.f64 (.f64 (pow.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 2/3) (neg.f64 (expm1.f64 x))) (cbrt.f64 (-.f64 -1 (exp.f64 x))))
(.f64 (neg.f64 (cbrt.f64 (-.f64 -1 (exp.f64 x)))) (.f64 (pow.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 2/3) (expm1.f64 x)))
(*.f64 (neg.f64 (cbrt.f64 (expm1.f64 (+.f64 x x)))) (neg.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2))))
(.f64 (.f64 (-.f64 -1 (exp.f64 x)) (cbrt.f64 (expm1.f64 x))) (neg.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2))))
(.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2)) (.f64 (-.f64 -1 (exp.f64 x)) (neg.f64 (cbrt.f64 (expm1.f64 x)))))
(*.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)))
(.f64 (expm1.f64 (.f64 2 (+.f64 x x))) (/.f64 1 (+.f64 (pow.f64 (exp.f64 2) x) 1)))
(.f64 (.f64 (-.f64 -1 (exp.f64 x)) (neg.f64 (cbrt.f64 (expm1.f64 x)))) (cbrt.f64 (pow.f64 (expm1.f64 x) 2)))
(.f64 (.f64 (exp.f64 (log1p.f64 (exp.f64 x))) (cbrt.f64 (expm1.f64 x))) (cbrt.f64 (pow.f64 (expm1.f64 x) 2)))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)) (cbrt.f64 (expm1.f64 (+.f64 x x))))
(*.f64 (exp.f64 (log1p.f64 (exp.f64 x))) (expm1.f64 x))
(*.f64 (expm1.f64 x) (exp.f64 (log1p.f64 (exp.f64 x))))
(*.f64 -1 (+.f64 1 (/.f64 (pow.f64 (exp.f64 2) x) -1)))
(.f64 -1 (+.f64 1 (/.f64 (.f64 (neg.f64 (pow.f64 (exp.f64 2) x)) -1) -1)))
(.f64 -1 (+.f64 1 (/.f64 (.f64 (+.f64 (expm1.f64 x) 1) (exp.f64 x)) -1)))
(.f64 (+.f64 0 (+.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)) (.f64 0 (neg.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))))))) (cbrt.f64 (expm1.f64 (+.f64 x x))))
(*.f64 (+.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 4)) (+.f64 1 (pow.f64 (exp.f64 x) 2/3))) (-.f64 (pow.f64 (exp.f64 x) 2/3) 1))
(.f64 (+.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)) (+.f64 0 (.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) 0))) (-.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) 0))
(.f64 (+.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2)) (-.f64 (cbrt.f64 (pow.f64 (.f64 (exp.f64 x) (expm1.f64 x)) 2)) (.f64 (cbrt.f64 (expm1.f64 x)) (cbrt.f64 (.f64 (exp.f64 x) (expm1.f64 x)))))) (+.f64 (cbrt.f64 (expm1.f64 x)) (cbrt.f64 (*.f64 (exp.f64 x) (expm1.f64 x)))))
(*.f64 (+.f64 1 (-.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 4)) (neg.f64 (pow.f64 (exp.f64 x) 2/3)))) (+.f64 -1 (pow.f64 (exp.f64 x) 2/3)))
(*.f64 (+.f64 0 (-.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)) 0)) (+.f64 0 (cbrt.f64 (expm1.f64 (+.f64 x x)))))
(*.f64 (+.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 4)) (-.f64 1 (neg.f64 (pow.f64 (exp.f64 x) 2/3)))) (+.f64 (pow.f64 (exp.f64 x) 2/3) -1))
(.f64 (+.f64 (cbrt.f64 (pow.f64 (.f64 (exp.f64 x) (expm1.f64 x)) 2)) (-.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2)) (.f64 (cbrt.f64 (.f64 (exp.f64 x) (expm1.f64 x))) (cbrt.f64 (expm1.f64 x))))) (+.f64 (cbrt.f64 (*.f64 (exp.f64 x) (expm1.f64 x))) (cbrt.f64 (expm1.f64 x))))
(*.f64 (neg.f64 (expm1.f64 (+.f64 x x))) -1)
(.f64 (pow.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 2/3) (.f64 (neg.f64 (expm1.f64 x)) (cbrt.f64 (-.f64 -1 (exp.f64 x)))))
(*.f64 (-.f64 -1 (exp.f64 x)) (neg.f64 (expm1.f64 x)))
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(if (!=.f64 (expm1.f64 (+.f64 x x)) 0) (/.f64 1 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))) (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(if (!=.f64 (-.f64 -1 (exp.f64 x)) 0) (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(if (!=.f64 (exp.f64 (log1p.f64 (exp.f64 (+.f64 (log1p.f64 (exp.f64 x)) x)))) 0) (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(if (!=.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 0) (pow.f64 (/.f64 1 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) -1) (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(if (!=.f64 (neg.f64 (exp.f64 (log1p.f64 (exp.f64 (+.f64 (log1p.f64 (exp.f64 x)) x))))) 0) (.f64 (/.f64 (expm1.f64 (+.f64 x x)) (neg.f64 (expm1.f64 (.f64 x 3)))) (neg.f64 (exp.f64 (log1p.f64 (exp.f64 (+.f64 (log1p.f64 (exp.f64 x)) x)))))) (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(if (!=.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 0) (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(+.f64 (.f64 (exp.f64 (log1p.f64 (exp.f64 x))) (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 (.f64 x 3)))) (.f64 (pow.f64 (exp.f64 2) x) (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 (.f64 x 3)))))
(+.f64 (.f64 (+.f64 (pow.f64 (exp.f64 2) x) 1) (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 (.f64 x 3)))) (.f64 (exp.f64 x) (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 (.f64 x 3)))))
(+.f64 (.f64 (pow.f64 (exp.f64 2) x) (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 (.f64 x 3)))) (.f64 (exp.f64 (log1p.f64 (exp.f64 x))) (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 (.f64 x 3)))))
(+.f64 (/.f64 (-.f64 -1 (exp.f64 x)) (expm1.f64 x)) (*.f64 (/.f64 (-.f64 -1 (exp.f64 x)) (expm1.f64 x)) (neg.f64 (exp.f64 x))))
(+.f64 (*.f64 (/.f64 (-.f64 -1 (exp.f64 x)) (expm1.f64 x)) (neg.f64 (exp.f64 x))) (/.f64 (-.f64 -1 (exp.f64 x)) (expm1.f64 x)))
(+.f64 (.f64 (/.f64 1 (expm1.f64 x)) (pow.f64 (exp.f64 2) x)) (.f64 (/.f64 1 (expm1.f64 x)) -1))
(+.f64 (.f64 (/.f64 1 (expm1.f64 x)) (expm1.f64 x)) (.f64 (/.f64 1 (expm1.f64 x)) (*.f64 (exp.f64 x) (expm1.f64 x))))
(+.f64 (.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 (.f64 x 3))) (exp.f64 (log1p.f64 (exp.f64 x)))) (.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 (.f64 x 3))) (pow.f64 (exp.f64 2) x)))
(+.f64 (.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 (.f64 x 3))) (+.f64 (pow.f64 (exp.f64 2) x) 1)) (.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 (.f64 x 3))) (exp.f64 x)))
(+.f64 (.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 (.f64 x 3))) (pow.f64 (exp.f64 2) x)) (.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 (.f64 x 3))) (exp.f64 (log1p.f64 (exp.f64 x)))))
(+.f64 (/.f64 (-.f64 -1 (exp.f64 x)) (expm1.f64 x)) (*.f64 (neg.f64 (exp.f64 x)) (/.f64 (-.f64 -1 (exp.f64 x)) (expm1.f64 x))))
(+.f64 0 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(+.f64 (*.f64 (neg.f64 (exp.f64 x)) (/.f64 (-.f64 -1 (exp.f64 x)) (expm1.f64 x))) (/.f64 (-.f64 -1 (exp.f64 x)) (expm1.f64 x)))
(+.f64 (/.f64 (pow.f64 (exp.f64 2) x) (expm1.f64 x)) (/.f64 -1 (expm1.f64 x)))
(+.f64 (/.f64 (expm1.f64 x) (expm1.f64 x)) (.f64 (.f64 (exp.f64 x) (expm1.f64 x)) (/.f64 1 (expm1.f64 x))))
(+.f64 (/.f64 -1 (expm1.f64 x)) (neg.f64 (neg.f64 (/.f64 (pow.f64 (exp.f64 2) x) (expm1.f64 x)))))
(*.f64 (exp.f64 x) (neg.f64 (-.f64 (exp.f64 (neg.f64 x)) -1)))
(*.f64 (neg.f64 (exp.f64 x)) (-.f64 (exp.f64 (neg.f64 x)) -1))
(*.f64 (pow.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 2/3) (cbrt.f64 (-.f64 -1 (exp.f64 x))))
(*.f64 (-.f64 -1 (exp.f64 x)) 1)
(*.f64 1 (-.f64 -1 (exp.f64 x)))
(.f64 (+.f64 (pow.f64 (exp.f64 x) 2/3) (neg.f64 (expm1.f64 (.f64 x 1/3)))) (+.f64 (neg.f64 (cbrt.f64 (exp.f64 x))) -1))
(*.f64 (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2/3) (cbrt.f64 (exp.f64 x)))) (+.f64 -1 (neg.f64 (cbrt.f64 (exp.f64 x)))))
(*.f64 (cbrt.f64 (-.f64 -1 (exp.f64 x))) (pow.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 2/3))
(*.f64 (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2/3) (cbrt.f64 (exp.f64 x)))) (-.f64 -1 (cbrt.f64 (exp.f64 x))))
(*.f64 (pow.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1) -1) (-.f64 -1 (pow.f64 (exp.f64 3) x)))
(*.f64 (-.f64 -1 (pow.f64 (exp.f64 3) x)) (pow.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1) -1))
(*.f64 (neg.f64 (sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))) (sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x)))))
(*.f64 (sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x)))) (neg.f64 (sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))))
(*.f64 (cbrt.f64 (exp.f64 (log1p.f64 (exp.f64 x)))) (neg.f64 (pow.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 2/3)))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 3) x)) (/.f64 -1 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(*.f64 -1 (exp.f64 (log1p.f64 (exp.f64 x))))
(*.f64 (exp.f64 (log1p.f64 (exp.f64 x))) -1)
(.f64 (+.f64 0 (+.f64 (pow.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 2/3) (.f64 0 (cbrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))))) (cbrt.f64 (-.f64 -1 (exp.f64 x))))
(.f64 (+.f64 (pow.f64 (exp.f64 x) 2/3) (+.f64 1 (.f64 (neg.f64 (cbrt.f64 (exp.f64 x))) 1))) (-.f64 (neg.f64 (cbrt.f64 (exp.f64 x))) 1))
(.f64 (+.f64 0 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 2/3) (.f64 0 (cbrt.f64 (-.f64 -1 (exp.f64 x)))))) (+.f64 0 (cbrt.f64 (-.f64 -1 (exp.f64 x)))))
(-.f64 (/.f64 -1 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)) (/.f64 (pow.f64 (exp.f64 3) x) (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(-.f64 0 (exp.f64 (log1p.f64 (exp.f64 x))))
(-.f64 -1 (exp.f64 x))
(-.f64 (neg.f64 (exp.f64 x)) 1)
(/.f64 (*.f64 (cbrt.f64 (-.f64 -1 (pow.f64 (exp.f64 3) x))) (pow.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 2/3)) (cbrt.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(/.f64 (*.f64 (pow.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 2/3) (cbrt.f64 (-.f64 -1 (pow.f64 (exp.f64 3) x)))) (cbrt.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(/.f64 (pow.f64 (-.f64 -1 (exp.f64 x)) 3) (+.f64 (exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 2)) 0))
(/.f64 (-.f64 -1 (pow.f64 (pow.f64 (exp.f64 3) x) 3)) (*.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1) (-.f64 (+.f64 1 (pow.f64 (exp.f64 x) 6)) (pow.f64 (exp.f64 3) x))))
(/.f64 (-.f64 -1 (pow.f64 (exp.f64 3) x)) (fma.f64 (exp.f64 x) (expm1.f64 x) 1))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 3) x)) (neg.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(/.f64 (neg.f64 (exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 2))) (exp.f64 (log1p.f64 (exp.f64 x))))
(/.f64 (-.f64 (neg.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)) (*.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1) (pow.f64 (exp.f64 3) x))) (pow.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1) 2))
(/.f64 -1 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 x)))))
(/.f64 (exp.f64 (log1p.f64 (exp.f64 x))) -1)
(/.f64 1 (neg.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 x))))))
(/.f64 (-.f64 -1 (exp.f64 x)) 1)
(/.f64 (*.f64 (-.f64 -1 (pow.f64 (pow.f64 (exp.f64 3) x) 3)) (pow.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1) -1)) (-.f64 (+.f64 1 (pow.f64 (exp.f64 x) 6)) (pow.f64 (exp.f64 3) x)))
(fma.f64 0 3 (-.f64 -1 (exp.f64 x)))
(fma.f64 0 0 (-.f64 -1 (exp.f64 x)))
(fma.f64 (neg.f64 (sqrt.f64 (exp.f64 x))) (sqrt.f64 (exp.f64 x)) -1)
(fma.f64 (neg.f64 (cbrt.f64 (exp.f64 x))) (pow.f64 (exp.f64 x) 2/3) -1)
(fma.f64 (sqrt.f64 (exp.f64 x)) (neg.f64 (sqrt.f64 (exp.f64 x))) -1)
(fma.f64 -1 (exp.f64 x) -1)
(fma.f64 (exp.f64 x) -1 -1)
(fma.f64 (cbrt.f64 (exp.f64 x)) (neg.f64 (pow.f64 (exp.f64 x) 2/3)) -1)
(fma.f64 1 0 (-.f64 -1 (exp.f64 x)))
(fma.f64 1 -1 (neg.f64 (exp.f64 x)))
(fma.f64 1 (neg.f64 (exp.f64 x)) -1)
(fma.f64 0 1 (-.f64 -1 (exp.f64 x)))
(fma.f64 -1 1 (neg.f64 (exp.f64 x)))
(pow.f64 (cbrt.f64 (-.f64 -1 (exp.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 -1 (exp.f64 x)) 3) 1/3)
(pow.f64 (neg.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 x))))) -1)
(pow.f64 (-.f64 -1 (exp.f64 x)) 1)
(cbrt.f64 (pow.f64 (-.f64 -1 (exp.f64 x)) 3))
(neg.f64 (exp.f64 (log1p.f64 (exp.f64 x))))
(neg.f64 (+.f64 (pow.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1) -1) (/.f64 (pow.f64 (exp.f64 3) x) (fma.f64 (exp.f64 x) (expm1.f64 x) 1))))
(neg.f64 (pow.f64 (neg.f64 (cbrt.f64 (-.f64 -1 (exp.f64 x)))) 3))
(if (!=.f64 (exp.f64 x) 0) (-.f64 -1 (exp.f64 x)) (-.f64 -1 (exp.f64 x)))
(if (!=.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1) 0) (-.f64 -1 (exp.f64 x)) (-.f64 -1 (exp.f64 x)))
(if (!=.f64 -1 0) (-.f64 -1 (exp.f64 x)) (-.f64 -1 (exp.f64 x)))
(if (!=.f64 (neg.f64 (exp.f64 x)) 0) (-.f64 -1 (exp.f64 x)) (-.f64 -1 (exp.f64 x)))
(if (!=.f64 (-.f64 -1 (exp.f64 x)) 0) (-.f64 -1 (exp.f64 x)) (-.f64 -1 (exp.f64 x)))
(if (!=.f64 (/.f64 (expm1.f64 (.f64 x 3)) (fma.f64 (exp.f64 x) (expm1.f64 x) 1)) 0) (/.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1) -1) 2) (pow.f64 (/.f64 (pow.f64 (exp.f64 3) x) (fma.f64 (exp.f64 x) (expm1.f64 x) 1)) 2)) (/.f64 (expm1.f64 (.f64 x 3)) (fma.f64 (exp.f64 x) (expm1.f64 x) 1))) (-.f64 -1 (exp.f64 x)))
(if (!=.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 0) (-.f64 -1 (exp.f64 x)) (-.f64 -1 (exp.f64 x)))
(if (!=.f64 (/.f64 (pow.f64 (exp.f64 3) x) (fma.f64 (exp.f64 x) (expm1.f64 x) 1)) 0) (/.f64 (-.f64 (/.f64 -1 (pow.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1) 3)) (pow.f64 (/.f64 (pow.f64 (exp.f64 3) x) (fma.f64 (exp.f64 x) (expm1.f64 x) 1)) 3)) (+.f64 (pow.f64 (pow.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1) -1) 2) (+.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 3) x) (fma.f64 (exp.f64 x) (expm1.f64 x) 1)) 2) (*.f64 (/.f64 -1 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)) (/.f64 (pow.f64 (exp.f64 3) x) (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))))) (-.f64 -1 (exp.f64 x)))
(if (!=.f64 (+.f64 (pow.f64 (pow.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1) -1) 2) (+.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 3) x) (fma.f64 (exp.f64 x) (expm1.f64 x) 1)) 2) (.f64 (/.f64 -1 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)) (/.f64 (pow.f64 (exp.f64 3) x) (fma.f64 (exp.f64 x) (expm1.f64 x) 1))))) 0) (/.f64 (-.f64 (/.f64 -1 (pow.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1) 3)) (pow.f64 (/.f64 (pow.f64 (exp.f64 3) x) (fma.f64 (exp.f64 x) (expm1.f64 x) 1)) 3)) (+.f64 (pow.f64 (pow.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1) -1) 2) (+.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 3) x) (fma.f64 (exp.f64 x) (expm1.f64 x) 1)) 2) (.f64 (/.f64 -1 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)) (/.f64 (pow.f64 (exp.f64 3) x) (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))))) (-.f64 -1 (exp.f64 x)))
(if (!=.f64 (+.f64 (exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 2)) 0) 0) (-.f64 -1 (exp.f64 x)) (-.f64 -1 (exp.f64 x)))
(if (!=.f64 (/.f64 -1 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)) 0) (/.f64 (-.f64 (/.f64 -1 (pow.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1) 3)) (pow.f64 (/.f64 (pow.f64 (exp.f64 3) x) (fma.f64 (exp.f64 x) (expm1.f64 x) 1)) 3)) (+.f64 (pow.f64 (pow.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1) -1) 2) (+.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 3) x) (fma.f64 (exp.f64 x) (expm1.f64 x) 1)) 2) (*.f64 (/.f64 -1 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)) (/.f64 (pow.f64 (exp.f64 3) x) (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))))) (-.f64 -1 (exp.f64 x)))
(if (!=.f64 0 0) (-.f64 -1 (exp.f64 x)) (-.f64 -1 (exp.f64 x)))
(if (!=.f64 (-.f64 (+.f64 1 (pow.f64 (.f64 (exp.f64 x) (expm1.f64 x)) 2)) (.f64 (exp.f64 x) (expm1.f64 x))) 0) (.f64 (/.f64 (-.f64 -1 (pow.f64 (exp.f64 3) x)) (+.f64 (pow.f64 (.f64 (exp.f64 x) (expm1.f64 x)) 3) 1)) (-.f64 (+.f64 1 (pow.f64 (.f64 (exp.f64 x) (expm1.f64 x)) 2)) (.f64 (exp.f64 x) (expm1.f64 x)))) (-.f64 -1 (exp.f64 x)))
(if (!=.f64 (expm1.f64 x) 0) (neg.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (-.f64 -1 (exp.f64 x)))
(if (!=.f64 (neg.f64 (expm1.f64 x)) 0) (neg.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (-.f64 -1 (exp.f64 x)))
(if (!=.f64 1 0) (-.f64 -1 (exp.f64 x)) (-.f64 -1 (exp.f64 x)))
(+.f64 (/.f64 -1 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)) (neg.f64 (/.f64 (pow.f64 (exp.f64 3) x) (fma.f64 (exp.f64 x) (expm1.f64 x) 1))))
(+.f64 0 (-.f64 -1 (exp.f64 x)))
(+.f64 -1 (neg.f64 (exp.f64 x)))
(+.f64 (neg.f64 (exp.f64 x)) -1)
(+.f64 -1 (neg.f64 (*.f64 (neg.f64 (cbrt.f64 (exp.f64 x))) (neg.f64 (pow.f64 (exp.f64 x) 2/3)))))

Outputs
(*.f64 2 x)
(+.f64 x x)
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 2 x))
(.f64 2 (+.f64 (.f64 x x) x))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 4/3 (pow.f64 x 3)) (*.f64 2 x)))
(+.f64 (.f64 4/3 (pow.f64 x 3)) (.f64 2 (+.f64 (*.f64 x x) x)))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 2/3 (pow.f64 x 4)) (+.f64 (.f64 4/3 (pow.f64 x 3)) (.f64 2 x))))
(fma.f64 2 (*.f64 x x) (fma.f64 2/3 (pow.f64 x 4) (fma.f64 4/3 (pow.f64 x 3) (+.f64 x x))))
(*.f64 (-.f64 (exp.f64 x) 1) (+.f64 1 (exp.f64 x)))
(expm1.f64 (+.f64 x x))
(*.f64 (-.f64 (exp.f64 x) 1) (+.f64 1 (exp.f64 x)))
(expm1.f64 (+.f64 x x))
(*.f64 (-.f64 (exp.f64 x) 1) (+.f64 1 (exp.f64 x)))
(expm1.f64 (+.f64 x x))
(*.f64 (-.f64 (exp.f64 x) 1) (+.f64 1 (exp.f64 x)))
(expm1.f64 (+.f64 x x))
(*.f64 (-.f64 (exp.f64 x) 1) (+.f64 1 (exp.f64 x)))
(expm1.f64 (+.f64 x x))
(*.f64 (-.f64 (exp.f64 x) 1) (+.f64 1 (exp.f64 x)))
(expm1.f64 (+.f64 x x))
(*.f64 (-.f64 (exp.f64 x) 1) (+.f64 1 (exp.f64 x)))
(expm1.f64 (+.f64 x x))
(*.f64 (-.f64 (exp.f64 x) 1) (+.f64 1 (exp.f64 x)))
(expm1.f64 (+.f64 x x))
2
(+.f64 2 x)
(+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 2 (fma.f64 1/2 (*.f64 x x) x))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 2 (+.f64 (.f64 1/2 (pow.f64 x 2)) x)))
(fma.f64 1/6 (pow.f64 x 3) (+.f64 2 (fma.f64 1/2 (*.f64 x x) x)))
(+.f64 1 (exp.f64 x))
(exp.f64 (log1p.f64 (exp.f64 x)))
(+.f64 1 (exp.f64 x))
(exp.f64 (log1p.f64 (exp.f64 x)))
(+.f64 1 (exp.f64 x))
(exp.f64 (log1p.f64 (exp.f64 x)))
(+.f64 1 (exp.f64 x))
(exp.f64 (log1p.f64 (exp.f64 x)))
(+.f64 1 (exp.f64 x))
(exp.f64 (log1p.f64 (exp.f64 x)))
(+.f64 1 (exp.f64 x))
(exp.f64 (log1p.f64 (exp.f64 x)))
(+.f64 1 (exp.f64 x))
(exp.f64 (log1p.f64 (exp.f64 x)))
(+.f64 1 (exp.f64 x))
(exp.f64 (log1p.f64 (exp.f64 x)))
-2
(-.f64 (*.f64 -1 x) 2)
(neg.f64 (+.f64 2 x))
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 2)
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localize17.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

series1.0ms (0%)

Counts

1 → 0

Calls

3 calls:

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

Compiler

Compiled 10 to 10 computations (0% saved)

rewrite1.5s (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

78× egg-rr

Counts

1 → 78

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) x)) (cbrt.f64 (*.f64 1/2 (pow.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1/2 1/18) (*.f64 (cbrt.f64 (cbrt.f64 1/2)) (*.f64 (cbrt.f64 1/2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (sqrt.f64 1/2)) (cbrt.f64 (*.f64 1/2 (pow.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) x))) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 x 2)))) (cbrt.f64 (*.f64 1/2 (pow.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 x)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (*.f64 (cbrt.f64 (pow.f64 x 2)) (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 x 2)))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 x 2))) 2)) (cbrt.f64 (*.f64 (sqrt.f64 1/2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 2 -1/8) (*.f64 (pow.f64 2 -1/8) (*.f64 (sqrt.f64 (sqrt.f64 1/2)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (cbrt.f64 (sqrt.f64 1/2)) x) (cbrt.f64 (cbrt.f64 1/2))) (cbrt.f64 (cbrt.f64 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 x 2)) (sqrt.f64 1/2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 x 2))) (cbrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) x)))) (cbrt.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (cbrt.f64 x)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (cbrt.f64 x)) (cbrt.f64 x)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) x)) (cbrt.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 x 2))))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 x 2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (sqrt.f64 (sqrt.f64 1/2)) x) (pow.f64 2 -1/8)) (pow.f64 2 -1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x 2)) (*.f64 (sqrt.f64 1/2) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 x 2))) (cbrt.f64 (*.f64 (sqrt.f64 1/2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (pow.f64 x 2)) (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 1/2) (cbrt.f64 x)) (cbrt.f64 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 1/2) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (sqrt.f64 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sqrt.f64 1/2)) (*.f64 (sqrt.f64 (sqrt.f64 1/2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (sqrt.f64 1/2)) x) (sqrt.f64 (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 1/2 (*.f64 (sqrt.f64 1/2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (*.f64 (sqrt.f64 1/2) x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (*.f64 (sqrt.f64 1/2) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (sqrt.f64 1/2) x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 1/2) (*.f64 (cbrt.f64 (sqrt.f64 1/2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 1/2)) (*.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 1/2 (pow.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 1/2)) (*.f64 (cbrt.f64 1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1/2 1/12) (*.f64 (pow.f64 1/2 1/12) (*.f64 (cbrt.f64 1/2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1/2 1/12) (*.f64 (cbrt.f64 (sqrt.f64 1/2)) (*.f64 (sqrt.f64 (sqrt.f64 1/2)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 1/2)) x) (cbrt.f64 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (cbrt.f64 (sqrt.f64 1/2)) x) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 1/2) x) (cbrt.f64 (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (sqrt.f64 (sqrt.f64 1/2)) x) (pow.f64 1/2 1/12)) (cbrt.f64 (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sqrt.f64 1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 1/2) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 1/2) x) (cbrt.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 (sqrt.f64 1/2)) x) (pow.f64 1/2 1/12)) (cbrt.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (cbrt.f64 (sqrt.f64 1/2)) x) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (sqrt.f64 1/2)) x) (sqrt.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) (neg.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (cbrt.f64 (sqrt.f64 1/2)) x)) (neg.f64 (cbrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (sqrt.f64 1/2)) x) (cbrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 1/2) x) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 1/2) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 1/8) (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 1/2) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (sqrt.f64 1/8) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (*.f64 (sqrt.f64 1/2) x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 1/2) x) 2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 -1 (*.f64 (sqrt.f64 1/2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 -2 (*.f64 1/2 (*.f64 (sqrt.f64 1/2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 (sqrt.f64 1/2) x) 0) (/.f64 1 (pow.f64 (*.f64 (sqrt.f64 1/2) x) -1)) (*.f64 (sqrt.f64 1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 1/2 (*.f64 (sqrt.f64 1/2) x)) 0) (/.f64 (+.f64 (pow.f64 (*.f64 1/2 (*.f64 (sqrt.f64 1/2) x)) 3) (pow.f64 (*.f64 1/2 (*.f64 (sqrt.f64 1/2) x)) 3)) (+.f64 (*.f64 (*.f64 1/2 (*.f64 (sqrt.f64 1/2) x)) (*.f64 1/2 (*.f64 (sqrt.f64 1/2) x))) (-.f64 (*.f64 (*.f64 1/2 (*.f64 (sqrt.f64 1/2) x)) (*.f64 1/2 (*.f64 (sqrt.f64 1/2) x))) (*.f64 (*.f64 1/2 (*.f64 (sqrt.f64 1/2) x)) (*.f64 1/2 (*.f64 (sqrt.f64 1/2) x)))))) (*.f64 (sqrt.f64 1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 (*.f64 (sqrt.f64 1/2) x) 1/2) 0) (/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 1/2) x) 1/2) 3) (pow.f64 (*.f64 (*.f64 (sqrt.f64 1/2) x) 1/2) 3)) (+.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 1/2) x) 1/2) (*.f64 (*.f64 (sqrt.f64 1/2) x) 1/2)) (-.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 1/2) x) 1/2) (*.f64 (*.f64 (sqrt.f64 1/2) x) 1/2)) (*.f64 (*.f64 (*.f64 (sqrt.f64 1/2) x) 1/2) (*.f64 (*.f64 (sqrt.f64 1/2) x) 1/2))))) (*.f64 (sqrt.f64 1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 (*.f64 1/2 (*.f64 (sqrt.f64 1/2) x)) (*.f64 1/2 (*.f64 (sqrt.f64 1/2) x))) 0) (/.f64 (-.f64 (*.f64 (*.f64 1/2 (*.f64 (sqrt.f64 1/2) x)) (*.f64 1/2 (*.f64 (sqrt.f64 1/2) x))) (*.f64 (*.f64 1/2 (*.f64 (sqrt.f64 1/2) x)) (*.f64 1/2 (*.f64 (sqrt.f64 1/2) x)))) (-.f64 (*.f64 1/2 (*.f64 (sqrt.f64 1/2) x)) (*.f64 1/2 (*.f64 (sqrt.f64 1/2) x)))) (*.f64 (sqrt.f64 1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 1/2) x) 1/2) (*.f64 (*.f64 (sqrt.f64 1/2) x) 1/2)) 0) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 1/2) x) 1/2) (*.f64 (*.f64 (sqrt.f64 1/2) x) 1/2)) (*.f64 (*.f64 (*.f64 (sqrt.f64 1/2) x) 1/2) (*.f64 (*.f64 (sqrt.f64 1/2) x) 1/2))) (-.f64 (*.f64 (*.f64 (sqrt.f64 1/2) x) 1/2) (*.f64 (*.f64 (sqrt.f64 1/2) x) 1/2))) (*.f64 (sqrt.f64 1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 1/2 (*.f64 (sqrt.f64 1/2) x)) 0) (*.f64 (*.f64 1/2 (*.f64 (sqrt.f64 1/2) x)) (+.f64 1 (/.f64 (*.f64 1/2 (*.f64 (sqrt.f64 1/2) x)) (*.f64 1/2 (*.f64 (sqrt.f64 1/2) x))))) (*.f64 (sqrt.f64 1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 (*.f64 (sqrt.f64 1/2) x) 1/2) 0) (*.f64 (*.f64 (*.f64 (sqrt.f64 1/2) x) 1/2) (+.f64 1 (/.f64 (*.f64 (*.f64 (sqrt.f64 1/2) x) 1/2) (*.f64 (*.f64 (sqrt.f64 1/2) x) 1/2)))) (*.f64 (sqrt.f64 1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 (*.f64 (*.f64 1/2 (*.f64 (sqrt.f64 1/2) x)) (*.f64 1/2 (*.f64 (sqrt.f64 1/2) x))) (-.f64 (*.f64 (*.f64 1/2 (*.f64 (sqrt.f64 1/2) x)) (*.f64 1/2 (*.f64 (sqrt.f64 1/2) x))) (*.f64 (*.f64 1/2 (*.f64 (sqrt.f64 1/2) x)) (*.f64 1/2 (*.f64 (sqrt.f64 1/2) x))))) 0) (/.f64 (+.f64 (pow.f64 (*.f64 1/2 (*.f64 (sqrt.f64 1/2) x)) 3) (pow.f64 (*.f64 1/2 (*.f64 (sqrt.f64 1/2) x)) 3)) (+.f64 (*.f64 (*.f64 1/2 (*.f64 (sqrt.f64 1/2) x)) (*.f64 1/2 (*.f64 (sqrt.f64 1/2) x))) (-.f64 (*.f64 (*.f64 1/2 (*.f64 (sqrt.f64 1/2) x)) (*.f64 1/2 (*.f64 (sqrt.f64 1/2) x))) (*.f64 (*.f64 1/2 (*.f64 (sqrt.f64 1/2) x)) (*.f64 1/2 (*.f64 (sqrt.f64 1/2) x)))))) (*.f64 (sqrt.f64 1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 1/2) x) 1/2) (*.f64 (*.f64 (sqrt.f64 1/2) x) 1/2)) (-.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 1/2) x) 1/2) (*.f64 (*.f64 (sqrt.f64 1/2) x) 1/2)) (*.f64 (*.f64 (*.f64 (sqrt.f64 1/2) x) 1/2) (*.f64 (*.f64 (sqrt.f64 1/2) x) 1/2)))) 0) (/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 1/2) x) 1/2) 3) (pow.f64 (*.f64 (*.f64 (sqrt.f64 1/2) x) 1/2) 3)) (+.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 1/2) x) 1/2) (*.f64 (*.f64 (sqrt.f64 1/2) x) 1/2)) (-.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 1/2) x) 1/2) (*.f64 (*.f64 (sqrt.f64 1/2) x) 1/2)) (*.f64 (*.f64 (*.f64 (sqrt.f64 1/2) x) 1/2) (*.f64 (*.f64 (sqrt.f64 1/2) x) 1/2))))) (*.f64 (sqrt.f64 1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 1 0) (*.f64 (sqrt.f64 1/2) x) (*.f64 (sqrt.f64 1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (*.f64 (sqrt.f64 1/2) x)) (*.f64 1/2 (*.f64 (sqrt.f64 1/2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (sqrt.f64 1/2) x) 1/2) (*.f64 (*.f64 (sqrt.f64 1/2) x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x 1/2) (sqrt.f64 1/2)) (*.f64 (*.f64 x 1/2) (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/2 x) (sqrt.f64 1/2)) (*.f64 (*.f64 1/2 x) (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/2 (*.f64 (sqrt.f64 1/2) x)) 1) (*.f64 (*.f64 1/2 (*.f64 (sqrt.f64 1/2) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 1/2) x) 1/2) 1) (*.f64 (*.f64 (*.f64 (sqrt.f64 1/2) x) 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 1/8) x) (*.f64 (sqrt.f64 1/8) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/4 (*.f64 (*.f64 (sqrt.f64 1/2) x) 2)) (*.f64 1/4 (*.f64 (*.f64 (sqrt.f64 1/2) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 1/2) (*.f64 x 1/2)) (*.f64 (sqrt.f64 1/2) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 1/2) (*.f64 1/2 x)) (*.f64 (sqrt.f64 1/2) (*.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 1/2 (*.f64 (sqrt.f64 1/2) x))) (*.f64 1 (*.f64 1/2 (*.f64 (sqrt.f64 1/2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 (*.f64 (sqrt.f64 1/2) x) 1/2)) (*.f64 1 (*.f64 (*.f64 (sqrt.f64 1/2) x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 1/2) x) 2) 1/4) (*.f64 (*.f64 (*.f64 (sqrt.f64 1/2) x) 2) 1/4))))))

simplify2.4s (3.1%)

Algorithm

1×

egglog

Counts

78 → 84

Calls

Call 1

Inputs
(.f64 (cbrt.f64 (.f64 (sqrt.f64 1/2) x)) (cbrt.f64 (*.f64 1/2 (pow.f64 x 2))))
(.f64 (pow.f64 1/2 1/18) (.f64 (cbrt.f64 (cbrt.f64 1/2)) (*.f64 (cbrt.f64 1/2) x)))
(.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (sqrt.f64 1/2)) (cbrt.f64 (*.f64 1/2 (pow.f64 x 2)))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (sqrt.f64 1/2) x))) (.f64 (cbrt.f64 (cbrt.f64 (.f64 1/2 (pow.f64 x 2)))) (cbrt.f64 (*.f64 1/2 (pow.f64 x 2)))))
(.f64 (cbrt.f64 (cbrt.f64 x)) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (*.f64 (cbrt.f64 (pow.f64 x 2)) (sqrt.f64 1/2))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 1/2 (pow.f64 x 2)))) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 1/2 (pow.f64 x 2))) 2)) (cbrt.f64 (*.f64 (sqrt.f64 1/2) x))))
(.f64 (pow.f64 2 -1/8) (.f64 (pow.f64 2 -1/8) (*.f64 (sqrt.f64 (sqrt.f64 1/2)) x)))
(.f64 (.f64 (*.f64 (cbrt.f64 (sqrt.f64 1/2)) x) (cbrt.f64 (cbrt.f64 1/2))) (cbrt.f64 (cbrt.f64 1/4)))
(.f64 (.f64 (cbrt.f64 (pow.f64 x 2)) (sqrt.f64 1/2)) (cbrt.f64 x))
(.f64 (.f64 (cbrt.f64 (.f64 1/2 (pow.f64 x 2))) (cbrt.f64 (cbrt.f64 (.f64 (sqrt.f64 1/2) x)))) (cbrt.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 x 2)))))
(.f64 (.f64 (*.f64 (sqrt.f64 1/2) (cbrt.f64 x)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) 2))
(.f64 (.f64 (*.f64 (sqrt.f64 1/2) (cbrt.f64 x)) (cbrt.f64 x)) (cbrt.f64 x))
(.f64 (.f64 (cbrt.f64 (.f64 (sqrt.f64 1/2) x)) (cbrt.f64 (cbrt.f64 (.f64 1/2 (pow.f64 x 2))))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 x 2))) 2)))
(.f64 (.f64 (*.f64 (sqrt.f64 (sqrt.f64 1/2)) x) (pow.f64 2 -1/8)) (pow.f64 2 -1/8))
(.f64 (cbrt.f64 (pow.f64 x 2)) (.f64 (sqrt.f64 1/2) (cbrt.f64 x)))
(.f64 (cbrt.f64 (.f64 1/2 (pow.f64 x 2))) (cbrt.f64 (*.f64 (sqrt.f64 1/2) x)))
(.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (pow.f64 x 2)) (sqrt.f64 1/2)))
(.f64 (.f64 (sqrt.f64 1/2) (cbrt.f64 x)) (cbrt.f64 (pow.f64 x 2)))
(*.f64 (sqrt.f64 1/2) x)
(*.f64 x (sqrt.f64 1/2))
(.f64 (sqrt.f64 (sqrt.f64 1/2)) (.f64 (sqrt.f64 (sqrt.f64 1/2)) x))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 1/2)) x) (sqrt.f64 (sqrt.f64 1/2)))
(.f64 2 (.f64 1/2 (*.f64 (sqrt.f64 1/2) x)))
(.f64 2 (.f64 (*.f64 (sqrt.f64 1/2) x) 1/2))
(.f64 1/2 (.f64 (*.f64 (sqrt.f64 1/2) x) 2))
(.f64 (.f64 (*.f64 (sqrt.f64 1/2) x) 2) 1/2)
(.f64 (cbrt.f64 1/2) (.f64 (cbrt.f64 (sqrt.f64 1/2)) x))
(.f64 (cbrt.f64 (sqrt.f64 1/2)) (.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 1/2 (pow.f64 x 2)))))
(.f64 (cbrt.f64 (sqrt.f64 1/2)) (.f64 (cbrt.f64 1/2) x))
(.f64 (pow.f64 1/2 1/12) (.f64 (pow.f64 1/2 1/12) (*.f64 (cbrt.f64 1/2) x)))
(.f64 (pow.f64 1/2 1/12) (.f64 (cbrt.f64 (sqrt.f64 1/2)) (*.f64 (sqrt.f64 (sqrt.f64 1/2)) x)))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 1/2)) x) (cbrt.f64 1/2))
(.f64 (.f64 (*.f64 (cbrt.f64 (sqrt.f64 1/2)) x) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (sqrt.f64 1/2)))
(.f64 (.f64 (cbrt.f64 1/2) x) (cbrt.f64 (sqrt.f64 1/2)))
(.f64 (.f64 (*.f64 (sqrt.f64 (sqrt.f64 1/2)) x) (pow.f64 1/2 1/12)) (cbrt.f64 (sqrt.f64 1/2)))
(.f64 1 (.f64 (sqrt.f64 1/2) x))
(.f64 (.f64 (sqrt.f64 1/2) x) 1)
(/.f64 (*.f64 (cbrt.f64 1/2) x) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 (sqrt.f64 (sqrt.f64 1/2)) x) (pow.f64 1/2 1/12)) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 (cbrt.f64 (sqrt.f64 1/2)) x) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (*.f64 (sqrt.f64 (sqrt.f64 1/2)) x) (sqrt.f64 (sqrt.f64 2)))
(/.f64 (neg.f64 x) (neg.f64 (sqrt.f64 2)))
(/.f64 (neg.f64 (*.f64 (cbrt.f64 (sqrt.f64 1/2)) x)) (neg.f64 (cbrt.f64 2)))
(/.f64 x (sqrt.f64 2))
(/.f64 (*.f64 (cbrt.f64 (sqrt.f64 1/2)) x) (cbrt.f64 2))
(/.f64 (.f64 (.f64 (sqrt.f64 1/2) x) 2) 2)
(/.f64 (*.f64 (sqrt.f64 1/2) x) 1)
(pow.f64 (*.f64 (sqrt.f64 1/8) (pow.f64 x 3)) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) x)) 3)
(pow.f64 (*.f64 (sqrt.f64 1/2) x) 1)
(cbrt.f64 (*.f64 (sqrt.f64 1/8) (pow.f64 x 3)))
(neg.f64 (.f64 (.f64 (sqrt.f64 1/2) x) -1))
(neg.f64 (.f64 (.f64 (*.f64 (sqrt.f64 1/2) x) 2) -1/2))
(neg.f64 (.f64 -1 (.f64 (sqrt.f64 1/2) x)))
(neg.f64 (.f64 -2 (.f64 1/2 (*.f64 (sqrt.f64 1/2) x))))
(if (!=.f64 (.f64 (sqrt.f64 1/2) x) 0) (/.f64 1 (pow.f64 (.f64 (sqrt.f64 1/2) x) -1)) (*.f64 (sqrt.f64 1/2) x))
(if (!=.f64 (.f64 1/2 (.f64 (sqrt.f64 1/2) x)) 0) (/.f64 (+.f64 (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 1/2) x)) 3) (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 1/2) x)) 3)) (+.f64 (.f64 (.f64 1/2 (.f64 (sqrt.f64 1/2) x)) (.f64 1/2 (.f64 (sqrt.f64 1/2) x))) (-.f64 (.f64 (.f64 1/2 (.f64 (sqrt.f64 1/2) x)) (.f64 1/2 (.f64 (sqrt.f64 1/2) x))) (.f64 (.f64 1/2 (.f64 (sqrt.f64 1/2) x)) (.f64 1/2 (.f64 (sqrt.f64 1/2) x)))))) (.f64 (sqrt.f64 1/2) x))
(if (!=.f64 (.f64 (.f64 (sqrt.f64 1/2) x) 1/2) 0) (/.f64 (+.f64 (pow.f64 (.f64 (.f64 (sqrt.f64 1/2) x) 1/2) 3) (pow.f64 (.f64 (.f64 (sqrt.f64 1/2) x) 1/2) 3)) (+.f64 (.f64 (.f64 (.f64 (sqrt.f64 1/2) x) 1/2) (.f64 (.f64 (sqrt.f64 1/2) x) 1/2)) (-.f64 (.f64 (.f64 (.f64 (sqrt.f64 1/2) x) 1/2) (.f64 (.f64 (sqrt.f64 1/2) x) 1/2)) (.f64 (.f64 (.f64 (sqrt.f64 1/2) x) 1/2) (.f64 (.f64 (sqrt.f64 1/2) x) 1/2))))) (.f64 (sqrt.f64 1/2) x))
(if (!=.f64 (-.f64 (.f64 1/2 (.f64 (sqrt.f64 1/2) x)) (.f64 1/2 (.f64 (sqrt.f64 1/2) x))) 0) (/.f64 (-.f64 (.f64 (.f64 1/2 (.f64 (sqrt.f64 1/2) x)) (.f64 1/2 (.f64 (sqrt.f64 1/2) x))) (.f64 (.f64 1/2 (.f64 (sqrt.f64 1/2) x)) (.f64 1/2 (.f64 (sqrt.f64 1/2) x)))) (-.f64 (.f64 1/2 (.f64 (sqrt.f64 1/2) x)) (.f64 1/2 (.f64 (sqrt.f64 1/2) x)))) (*.f64 (sqrt.f64 1/2) x))
(if (!=.f64 (-.f64 (.f64 (.f64 (sqrt.f64 1/2) x) 1/2) (.f64 (.f64 (sqrt.f64 1/2) x) 1/2)) 0) (/.f64 (-.f64 (.f64 (.f64 (.f64 (sqrt.f64 1/2) x) 1/2) (.f64 (.f64 (sqrt.f64 1/2) x) 1/2)) (.f64 (.f64 (.f64 (sqrt.f64 1/2) x) 1/2) (.f64 (.f64 (sqrt.f64 1/2) x) 1/2))) (-.f64 (.f64 (.f64 (sqrt.f64 1/2) x) 1/2) (.f64 (.f64 (sqrt.f64 1/2) x) 1/2))) (*.f64 (sqrt.f64 1/2) x))
(if (!=.f64 (.f64 1/2 (.f64 (sqrt.f64 1/2) x)) 0) (.f64 (.f64 1/2 (.f64 (sqrt.f64 1/2) x)) (+.f64 1 (/.f64 (.f64 1/2 (.f64 (sqrt.f64 1/2) x)) (.f64 1/2 (.f64 (sqrt.f64 1/2) x))))) (.f64 (sqrt.f64 1/2) x))
(if (!=.f64 (.f64 (.f64 (sqrt.f64 1/2) x) 1/2) 0) (.f64 (.f64 (.f64 (sqrt.f64 1/2) x) 1/2) (+.f64 1 (/.f64 (.f64 (.f64 (sqrt.f64 1/2) x) 1/2) (.f64 (.f64 (sqrt.f64 1/2) x) 1/2)))) (.f64 (sqrt.f64 1/2) x))
(if (!=.f64 (+.f64 (.f64 (.f64 1/2 (.f64 (sqrt.f64 1/2) x)) (.f64 1/2 (.f64 (sqrt.f64 1/2) x))) (-.f64 (.f64 (.f64 1/2 (.f64 (sqrt.f64 1/2) x)) (.f64 1/2 (.f64 (sqrt.f64 1/2) x))) (.f64 (.f64 1/2 (.f64 (sqrt.f64 1/2) x)) (.f64 1/2 (.f64 (sqrt.f64 1/2) x))))) 0) (/.f64 (+.f64 (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 1/2) x)) 3) (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 1/2) x)) 3)) (+.f64 (.f64 (.f64 1/2 (.f64 (sqrt.f64 1/2) x)) (.f64 1/2 (.f64 (sqrt.f64 1/2) x))) (-.f64 (.f64 (.f64 1/2 (.f64 (sqrt.f64 1/2) x)) (.f64 1/2 (.f64 (sqrt.f64 1/2) x))) (.f64 (.f64 1/2 (.f64 (sqrt.f64 1/2) x)) (.f64 1/2 (.f64 (sqrt.f64 1/2) x)))))) (*.f64 (sqrt.f64 1/2) x))
(if (!=.f64 (+.f64 (.f64 (.f64 (.f64 (sqrt.f64 1/2) x) 1/2) (.f64 (.f64 (sqrt.f64 1/2) x) 1/2)) (-.f64 (.f64 (.f64 (.f64 (sqrt.f64 1/2) x) 1/2) (.f64 (.f64 (sqrt.f64 1/2) x) 1/2)) (.f64 (.f64 (.f64 (sqrt.f64 1/2) x) 1/2) (.f64 (.f64 (sqrt.f64 1/2) x) 1/2)))) 0) (/.f64 (+.f64 (pow.f64 (.f64 (.f64 (sqrt.f64 1/2) x) 1/2) 3) (pow.f64 (.f64 (.f64 (sqrt.f64 1/2) x) 1/2) 3)) (+.f64 (.f64 (.f64 (.f64 (sqrt.f64 1/2) x) 1/2) (.f64 (.f64 (sqrt.f64 1/2) x) 1/2)) (-.f64 (.f64 (.f64 (.f64 (sqrt.f64 1/2) x) 1/2) (.f64 (.f64 (sqrt.f64 1/2) x) 1/2)) (.f64 (.f64 (.f64 (sqrt.f64 1/2) x) 1/2) (.f64 (.f64 (sqrt.f64 1/2) x) 1/2))))) (*.f64 (sqrt.f64 1/2) x))
(if (!=.f64 1 0) (.f64 (sqrt.f64 1/2) x) (.f64 (sqrt.f64 1/2) x))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 1/2) x)) (.f64 1/2 (.f64 (sqrt.f64 1/2) x)))
(+.f64 (.f64 (.f64 (sqrt.f64 1/2) x) 1/2) (.f64 (.f64 (sqrt.f64 1/2) x) 1/2))
(+.f64 (.f64 (.f64 x 1/2) (sqrt.f64 1/2)) (.f64 (.f64 x 1/2) (sqrt.f64 1/2)))
(+.f64 (.f64 (.f64 1/2 x) (sqrt.f64 1/2)) (.f64 (.f64 1/2 x) (sqrt.f64 1/2)))
(+.f64 (.f64 (.f64 1/2 (.f64 (sqrt.f64 1/2) x)) 1) (.f64 (.f64 1/2 (.f64 (sqrt.f64 1/2) x)) 1))
(+.f64 (.f64 (.f64 (.f64 (sqrt.f64 1/2) x) 1/2) 1) (.f64 (.f64 (.f64 (sqrt.f64 1/2) x) 1/2) 1))
(+.f64 (.f64 (sqrt.f64 1/8) x) (.f64 (sqrt.f64 1/8) x))
(+.f64 (.f64 1/4 (.f64 (.f64 (sqrt.f64 1/2) x) 2)) (.f64 1/4 (.f64 (.f64 (sqrt.f64 1/2) x) 2)))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 x 1/2)) (.f64 (sqrt.f64 1/2) (.f64 x 1/2)))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 1/2 x)) (.f64 (sqrt.f64 1/2) (.f64 1/2 x)))
(+.f64 (.f64 1 (.f64 1/2 (.f64 (sqrt.f64 1/2) x))) (.f64 1 (.f64 1/2 (.f64 (sqrt.f64 1/2) x))))
(+.f64 (.f64 1 (.f64 (.f64 (sqrt.f64 1/2) x) 1/2)) (.f64 1 (.f64 (.f64 (sqrt.f64 1/2) x) 1/2)))
(+.f64 (.f64 (.f64 (.f64 (sqrt.f64 1/2) x) 2) 1/4) (.f64 (.f64 (.f64 (sqrt.f64 1/2) x) 2) 1/4))

Outputs
(.f64 (cbrt.f64 (.f64 (sqrt.f64 1/2) x)) (cbrt.f64 (*.f64 1/2 (pow.f64 x 2))))
(/.f64 x (sqrt.f64 2))
(.f64 (pow.f64 1/2 1/18) (.f64 (cbrt.f64 (cbrt.f64 1/2)) (*.f64 (cbrt.f64 1/2) x)))
(/.f64 x (sqrt.f64 2))
(.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (sqrt.f64 1/2)) (cbrt.f64 (*.f64 1/2 (pow.f64 x 2)))))
(/.f64 x (sqrt.f64 2))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (sqrt.f64 1/2) x))) (.f64 (cbrt.f64 (cbrt.f64 (.f64 1/2 (pow.f64 x 2)))) (cbrt.f64 (*.f64 1/2 (pow.f64 x 2)))))
(/.f64 x (sqrt.f64 2))
(.f64 (cbrt.f64 (cbrt.f64 x)) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (*.f64 (cbrt.f64 (pow.f64 x 2)) (sqrt.f64 1/2))))
(/.f64 x (sqrt.f64 2))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 1/2 (pow.f64 x 2)))) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 1/2 (pow.f64 x 2))) 2)) (cbrt.f64 (*.f64 (sqrt.f64 1/2) x))))
(/.f64 x (sqrt.f64 2))
(.f64 (pow.f64 2 -1/8) (.f64 (pow.f64 2 -1/8) (*.f64 (sqrt.f64 (sqrt.f64 1/2)) x)))
(/.f64 x (sqrt.f64 2))
(.f64 (.f64 (*.f64 (cbrt.f64 (sqrt.f64 1/2)) x) (cbrt.f64 (cbrt.f64 1/2))) (cbrt.f64 (cbrt.f64 1/4)))
(/.f64 x (sqrt.f64 2))
(.f64 (.f64 (cbrt.f64 (pow.f64 x 2)) (sqrt.f64 1/2)) (cbrt.f64 x))
(/.f64 x (sqrt.f64 2))
(.f64 (.f64 (cbrt.f64 (.f64 1/2 (pow.f64 x 2))) (cbrt.f64 (cbrt.f64 (.f64 (sqrt.f64 1/2) x)))) (cbrt.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 x 2)))))
(/.f64 x (sqrt.f64 2))
(.f64 (.f64 (*.f64 (sqrt.f64 1/2) (cbrt.f64 x)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) 2))
(/.f64 x (sqrt.f64 2))
(.f64 (.f64 (*.f64 (sqrt.f64 1/2) (cbrt.f64 x)) (cbrt.f64 x)) (cbrt.f64 x))
(/.f64 x (sqrt.f64 2))
(.f64 (.f64 (cbrt.f64 (.f64 (sqrt.f64 1/2) x)) (cbrt.f64 (cbrt.f64 (.f64 1/2 (pow.f64 x 2))))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 x 2))) 2)))
(/.f64 x (sqrt.f64 2))
(.f64 (.f64 (*.f64 (sqrt.f64 (sqrt.f64 1/2)) x) (pow.f64 2 -1/8)) (pow.f64 2 -1/8))
(/.f64 x (sqrt.f64 2))
(.f64 (cbrt.f64 (pow.f64 x 2)) (.f64 (sqrt.f64 1/2) (cbrt.f64 x)))
(/.f64 x (sqrt.f64 2))
(.f64 (cbrt.f64 (.f64 1/2 (pow.f64 x 2))) (cbrt.f64 (*.f64 (sqrt.f64 1/2) x)))
(/.f64 x (sqrt.f64 2))
(.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (pow.f64 x 2)) (sqrt.f64 1/2)))
(/.f64 x (sqrt.f64 2))
(.f64 (.f64 (sqrt.f64 1/2) (cbrt.f64 x)) (cbrt.f64 (pow.f64 x 2)))
(/.f64 x (sqrt.f64 2))
(*.f64 (sqrt.f64 1/2) x)
(/.f64 x (sqrt.f64 2))
(*.f64 x (sqrt.f64 1/2))
(/.f64 x (sqrt.f64 2))
(.f64 (sqrt.f64 (sqrt.f64 1/2)) (.f64 (sqrt.f64 (sqrt.f64 1/2)) x))
(/.f64 x (sqrt.f64 2))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 1/2)) x) (sqrt.f64 (sqrt.f64 1/2)))
(/.f64 x (sqrt.f64 2))
(.f64 2 (.f64 1/2 (*.f64 (sqrt.f64 1/2) x)))
(/.f64 x (sqrt.f64 2))
(.f64 2 (.f64 (*.f64 (sqrt.f64 1/2) x) 1/2))
(/.f64 x (sqrt.f64 2))
(.f64 1/2 (.f64 (*.f64 (sqrt.f64 1/2) x) 2))
(/.f64 x (sqrt.f64 2))
(.f64 (.f64 (*.f64 (sqrt.f64 1/2) x) 2) 1/2)
(/.f64 x (sqrt.f64 2))
(.f64 (cbrt.f64 1/2) (.f64 (cbrt.f64 (sqrt.f64 1/2)) x))
(/.f64 x (sqrt.f64 2))
(.f64 (cbrt.f64 (sqrt.f64 1/2)) (.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 1/2 (pow.f64 x 2)))))
(/.f64 x (sqrt.f64 2))
(.f64 (cbrt.f64 (sqrt.f64 1/2)) (.f64 (cbrt.f64 1/2) x))
(/.f64 x (sqrt.f64 2))
(.f64 (pow.f64 1/2 1/12) (.f64 (pow.f64 1/2 1/12) (*.f64 (cbrt.f64 1/2) x)))
(/.f64 x (sqrt.f64 2))
(.f64 (pow.f64 1/2 1/12) (.f64 (cbrt.f64 (sqrt.f64 1/2)) (*.f64 (sqrt.f64 (sqrt.f64 1/2)) x)))
(/.f64 x (sqrt.f64 2))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 1/2)) x) (cbrt.f64 1/2))
(/.f64 x (sqrt.f64 2))
(.f64 (.f64 (*.f64 (cbrt.f64 (sqrt.f64 1/2)) x) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (sqrt.f64 1/2)))
(/.f64 x (sqrt.f64 2))
(.f64 (.f64 (cbrt.f64 1/2) x) (cbrt.f64 (sqrt.f64 1/2)))
(/.f64 x (sqrt.f64 2))
(.f64 (.f64 (*.f64 (sqrt.f64 (sqrt.f64 1/2)) x) (pow.f64 1/2 1/12)) (cbrt.f64 (sqrt.f64 1/2)))
(/.f64 x (sqrt.f64 2))
(.f64 1 (.f64 (sqrt.f64 1/2) x))
(/.f64 x (sqrt.f64 2))
(.f64 (.f64 (sqrt.f64 1/2) x) 1)
(/.f64 x (sqrt.f64 2))
(/.f64 (*.f64 (cbrt.f64 1/2) x) (cbrt.f64 (sqrt.f64 2)))
(/.f64 x (sqrt.f64 2))
(/.f64 (.f64 (.f64 (sqrt.f64 (sqrt.f64 1/2)) x) (pow.f64 1/2 1/12)) (cbrt.f64 (sqrt.f64 2)))
(/.f64 x (sqrt.f64 2))
(/.f64 (.f64 (.f64 (cbrt.f64 (sqrt.f64 1/2)) x) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (sqrt.f64 2)))
(/.f64 x (sqrt.f64 2))
(/.f64 (*.f64 (sqrt.f64 (sqrt.f64 1/2)) x) (sqrt.f64 (sqrt.f64 2)))
(/.f64 x (sqrt.f64 2))
(/.f64 (neg.f64 x) (neg.f64 (sqrt.f64 2)))
(/.f64 x (sqrt.f64 2))
(/.f64 (neg.f64 (*.f64 (cbrt.f64 (sqrt.f64 1/2)) x)) (neg.f64 (cbrt.f64 2)))
(/.f64 x (sqrt.f64 2))
(/.f64 x (sqrt.f64 2))
(/.f64 (*.f64 (cbrt.f64 (sqrt.f64 1/2)) x) (cbrt.f64 2))
(/.f64 x (sqrt.f64 2))
(/.f64 (.f64 (.f64 (sqrt.f64 1/2) x) 2) 2)
(/.f64 x (sqrt.f64 2))
(/.f64 (*.f64 (sqrt.f64 1/2) x) 1)
(/.f64 x (sqrt.f64 2))
(pow.f64 (*.f64 (sqrt.f64 1/8) (pow.f64 x 3)) 1/3)
(/.f64 x (sqrt.f64 2))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) x)) 3)
(/.f64 x (sqrt.f64 2))
(pow.f64 (*.f64 (sqrt.f64 1/2) x) 1)
(/.f64 x (sqrt.f64 2))
(cbrt.f64 (*.f64 (sqrt.f64 1/8) (pow.f64 x 3)))
(/.f64 x (sqrt.f64 2))
(neg.f64 (.f64 (.f64 (sqrt.f64 1/2) x) -1))
(/.f64 x (sqrt.f64 2))
(neg.f64 (.f64 (.f64 (*.f64 (sqrt.f64 1/2) x) 2) -1/2))
(/.f64 x (sqrt.f64 2))
(neg.f64 (.f64 -1 (.f64 (sqrt.f64 1/2) x)))
(/.f64 x (sqrt.f64 2))
(neg.f64 (.f64 -2 (.f64 1/2 (*.f64 (sqrt.f64 1/2) x))))
(/.f64 x (sqrt.f64 2))
(if (!=.f64 (.f64 (sqrt.f64 1/2) x) 0) (/.f64 1 (pow.f64 (.f64 (sqrt.f64 1/2) x) -1)) (*.f64 (sqrt.f64 1/2) x))
(if (!=.f64 (/.f64 x (sqrt.f64 2)) 0) (/.f64 1 (/.f64 (sqrt.f64 2) x)) (/.f64 x (sqrt.f64 2)))
(if (!=.f64 (.f64 1/2 (.f64 (sqrt.f64 1/2) x)) 0) (/.f64 (+.f64 (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 1/2) x)) 3) (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 1/2) x)) 3)) (+.f64 (.f64 (.f64 1/2 (.f64 (sqrt.f64 1/2) x)) (.f64 1/2 (.f64 (sqrt.f64 1/2) x))) (-.f64 (.f64 (.f64 1/2 (.f64 (sqrt.f64 1/2) x)) (.f64 1/2 (.f64 (sqrt.f64 1/2) x))) (.f64 (.f64 1/2 (.f64 (sqrt.f64 1/2) x)) (.f64 1/2 (.f64 (sqrt.f64 1/2) x)))))) (.f64 (sqrt.f64 1/2) x))
(if (!=.f64 (.f64 (sqrt.f64 1/8) x) 0) (/.f64 (.f64 2 (.f64 (sqrt.f64 1/512) (pow.f64 x 3))) (.f64 1/8 (*.f64 x x))) (/.f64 x (sqrt.f64 2)))
(if (!=.f64 (.f64 (.f64 (sqrt.f64 1/2) x) 1/2) 0) (/.f64 (+.f64 (pow.f64 (.f64 (.f64 (sqrt.f64 1/2) x) 1/2) 3) (pow.f64 (.f64 (.f64 (sqrt.f64 1/2) x) 1/2) 3)) (+.f64 (.f64 (.f64 (.f64 (sqrt.f64 1/2) x) 1/2) (.f64 (.f64 (sqrt.f64 1/2) x) 1/2)) (-.f64 (.f64 (.f64 (.f64 (sqrt.f64 1/2) x) 1/2) (.f64 (.f64 (sqrt.f64 1/2) x) 1/2)) (.f64 (.f64 (.f64 (sqrt.f64 1/2) x) 1/2) (.f64 (.f64 (sqrt.f64 1/2) x) 1/2))))) (.f64 (sqrt.f64 1/2) x))
(if (!=.f64 (.f64 (sqrt.f64 1/8) x) 0) (/.f64 (.f64 2 (.f64 (sqrt.f64 1/512) (pow.f64 x 3))) (.f64 1/8 (*.f64 x x))) (/.f64 x (sqrt.f64 2)))
(if (!=.f64 (-.f64 (.f64 1/2 (.f64 (sqrt.f64 1/2) x)) (.f64 1/2 (.f64 (sqrt.f64 1/2) x))) 0) (/.f64 (-.f64 (.f64 (.f64 1/2 (.f64 (sqrt.f64 1/2) x)) (.f64 1/2 (.f64 (sqrt.f64 1/2) x))) (.f64 (.f64 1/2 (.f64 (sqrt.f64 1/2) x)) (.f64 1/2 (.f64 (sqrt.f64 1/2) x)))) (-.f64 (.f64 1/2 (.f64 (sqrt.f64 1/2) x)) (.f64 1/2 (.f64 (sqrt.f64 1/2) x)))) (*.f64 (sqrt.f64 1/2) x))
(if (!=.f64 0 0) 0 (/.f64 x (sqrt.f64 2)))
(if (!=.f64 (-.f64 (.f64 (.f64 (sqrt.f64 1/2) x) 1/2) (.f64 (.f64 (sqrt.f64 1/2) x) 1/2)) 0) (/.f64 (-.f64 (.f64 (.f64 (.f64 (sqrt.f64 1/2) x) 1/2) (.f64 (.f64 (sqrt.f64 1/2) x) 1/2)) (.f64 (.f64 (.f64 (sqrt.f64 1/2) x) 1/2) (.f64 (.f64 (sqrt.f64 1/2) x) 1/2))) (-.f64 (.f64 (.f64 (sqrt.f64 1/2) x) 1/2) (.f64 (.f64 (sqrt.f64 1/2) x) 1/2))) (*.f64 (sqrt.f64 1/2) x))
(if (!=.f64 0 0) 0 (/.f64 x (sqrt.f64 2)))
(if (!=.f64 (.f64 1/2 (.f64 (sqrt.f64 1/2) x)) 0) (.f64 (.f64 1/2 (.f64 (sqrt.f64 1/2) x)) (+.f64 1 (/.f64 (.f64 1/2 (.f64 (sqrt.f64 1/2) x)) (.f64 1/2 (.f64 (sqrt.f64 1/2) x))))) (.f64 (sqrt.f64 1/2) x))
(if (!=.f64 (.f64 (sqrt.f64 1/8) x) 0) (.f64 (/.f64 x (sqrt.f64 2)) (/.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2)))) (/.f64 x (sqrt.f64 2)))
(if (!=.f64 (.f64 (.f64 (sqrt.f64 1/2) x) 1/2) 0) (.f64 (.f64 (.f64 (sqrt.f64 1/2) x) 1/2) (+.f64 1 (/.f64 (.f64 (.f64 (sqrt.f64 1/2) x) 1/2) (.f64 (.f64 (sqrt.f64 1/2) x) 1/2)))) (.f64 (sqrt.f64 1/2) x))
(if (!=.f64 (.f64 (sqrt.f64 1/8) x) 0) (.f64 (/.f64 x (sqrt.f64 2)) (/.f64 (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2)))) (/.f64 x (sqrt.f64 2)))
(if (!=.f64 (+.f64 (.f64 (.f64 1/2 (.f64 (sqrt.f64 1/2) x)) (.f64 1/2 (.f64 (sqrt.f64 1/2) x))) (-.f64 (.f64 (.f64 1/2 (.f64 (sqrt.f64 1/2) x)) (.f64 1/2 (.f64 (sqrt.f64 1/2) x))) (.f64 (.f64 1/2 (.f64 (sqrt.f64 1/2) x)) (.f64 1/2 (.f64 (sqrt.f64 1/2) x))))) 0) (/.f64 (+.f64 (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 1/2) x)) 3) (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 1/2) x)) 3)) (+.f64 (.f64 (.f64 1/2 (.f64 (sqrt.f64 1/2) x)) (.f64 1/2 (.f64 (sqrt.f64 1/2) x))) (-.f64 (.f64 (.f64 1/2 (.f64 (sqrt.f64 1/2) x)) (.f64 1/2 (.f64 (sqrt.f64 1/2) x))) (.f64 (.f64 1/2 (.f64 (sqrt.f64 1/2) x)) (.f64 1/2 (.f64 (sqrt.f64 1/2) x)))))) (*.f64 (sqrt.f64 1/2) x))
(if (!=.f64 (.f64 1/8 (.f64 x x)) 0) (/.f64 (.f64 2 (.f64 (sqrt.f64 1/512) (pow.f64 x 3))) (.f64 1/8 (.f64 x x))) (/.f64 x (sqrt.f64 2)))
(if (!=.f64 (+.f64 (.f64 (.f64 (.f64 (sqrt.f64 1/2) x) 1/2) (.f64 (.f64 (sqrt.f64 1/2) x) 1/2)) (-.f64 (.f64 (.f64 (.f64 (sqrt.f64 1/2) x) 1/2) (.f64 (.f64 (sqrt.f64 1/2) x) 1/2)) (.f64 (.f64 (.f64 (sqrt.f64 1/2) x) 1/2) (.f64 (.f64 (sqrt.f64 1/2) x) 1/2)))) 0) (/.f64 (+.f64 (pow.f64 (.f64 (.f64 (sqrt.f64 1/2) x) 1/2) 3) (pow.f64 (.f64 (.f64 (sqrt.f64 1/2) x) 1/2) 3)) (+.f64 (.f64 (.f64 (.f64 (sqrt.f64 1/2) x) 1/2) (.f64 (.f64 (sqrt.f64 1/2) x) 1/2)) (-.f64 (.f64 (.f64 (.f64 (sqrt.f64 1/2) x) 1/2) (.f64 (.f64 (sqrt.f64 1/2) x) 1/2)) (.f64 (.f64 (.f64 (sqrt.f64 1/2) x) 1/2) (.f64 (.f64 (sqrt.f64 1/2) x) 1/2))))) (*.f64 (sqrt.f64 1/2) x))
(if (!=.f64 (.f64 1/8 (.f64 x x)) 0) (/.f64 (.f64 2 (.f64 (sqrt.f64 1/512) (pow.f64 x 3))) (.f64 1/8 (.f64 x x))) (/.f64 x (sqrt.f64 2)))
(if (!=.f64 1 0) (.f64 (sqrt.f64 1/2) x) (.f64 (sqrt.f64 1/2) x))
(if (!=.f64 1 0) (/.f64 x (sqrt.f64 2)) (/.f64 x (sqrt.f64 2)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 1/2) x)) (.f64 1/2 (.f64 (sqrt.f64 1/2) x)))
(/.f64 x (sqrt.f64 2))
(+.f64 (.f64 (.f64 (sqrt.f64 1/2) x) 1/2) (.f64 (.f64 (sqrt.f64 1/2) x) 1/2))
(/.f64 x (sqrt.f64 2))
(+.f64 (.f64 (.f64 x 1/2) (sqrt.f64 1/2)) (.f64 (.f64 x 1/2) (sqrt.f64 1/2)))
(/.f64 x (sqrt.f64 2))
(+.f64 (.f64 (.f64 1/2 x) (sqrt.f64 1/2)) (.f64 (.f64 1/2 x) (sqrt.f64 1/2)))
(/.f64 x (sqrt.f64 2))
(+.f64 (.f64 (.f64 1/2 (.f64 (sqrt.f64 1/2) x)) 1) (.f64 (.f64 1/2 (.f64 (sqrt.f64 1/2) x)) 1))
(/.f64 x (sqrt.f64 2))
(+.f64 (.f64 (.f64 (.f64 (sqrt.f64 1/2) x) 1/2) 1) (.f64 (.f64 (.f64 (sqrt.f64 1/2) x) 1/2) 1))
(/.f64 x (sqrt.f64 2))
(+.f64 (.f64 (sqrt.f64 1/8) x) (.f64 (sqrt.f64 1/8) x))
(/.f64 x (sqrt.f64 2))
(+.f64 (.f64 1/4 (.f64 (.f64 (sqrt.f64 1/2) x) 2)) (.f64 1/4 (.f64 (.f64 (sqrt.f64 1/2) x) 2)))
(/.f64 x (sqrt.f64 2))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 x 1/2)) (.f64 (sqrt.f64 1/2) (.f64 x 1/2)))
(/.f64 x (sqrt.f64 2))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 1/2 x)) (.f64 (sqrt.f64 1/2) (.f64 1/2 x)))
(/.f64 x (sqrt.f64 2))
(+.f64 (.f64 1 (.f64 1/2 (.f64 (sqrt.f64 1/2) x))) (.f64 1 (.f64 1/2 (.f64 (sqrt.f64 1/2) x))))
(/.f64 x (sqrt.f64 2))
(+.f64 (.f64 1 (.f64 (.f64 (sqrt.f64 1/2) x) 1/2)) (.f64 1 (.f64 (.f64 (sqrt.f64 1/2) x) 1/2)))
(/.f64 x (sqrt.f64 2))
(+.f64 (.f64 (.f64 (.f64 (sqrt.f64 1/2) x) 2) 1/4) (.f64 (.f64 (.f64 (sqrt.f64 1/2) x) 2) 1/4))
(/.f64 x (sqrt.f64 2))

localize25.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 (-.f64 1/2 1/8) (.f64 x x)) x)
✓	0.0b	(+.f64 (sqrt.f64 2) (.f64 1/2 (/.f64 (+.f64 (.f64 (-.f64 1/2 1/8) (*.f64 x x)) x) (sqrt.f64 2))))
✓	0.2b	(.f64 (-.f64 1/2 1/8) (.f64 x x))
✓	0.4b	(/.f64 (+.f64 (.f64 (-.f64 1/2 1/8) (.f64 x x)) x) (sqrt.f64 2))

Compiler

Compiled 72 to 50 computations (30.6% saved)

series27.0ms (0%)

Counts

4 → 42

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/.f64 (+.f64 (.f64 (-.f64 1/2 1/8) (.f64 x x)) x) (sqrt.f64 2))
0.0ms	x	@	inf	(+.f64 (sqrt.f64 2) (.f64 1/2 (/.f64 (+.f64 (.f64 (-.f64 1/2 1/8) (*.f64 x x)) x) (sqrt.f64 2))))
0.0ms	x	@	inf	(/.f64 (+.f64 (.f64 (-.f64 1/2 1/8) (.f64 x x)) x) (sqrt.f64 2))
0.0ms	x	@	-inf	(/.f64 (+.f64 (.f64 (-.f64 1/2 1/8) (.f64 x x)) x) (sqrt.f64 2))
0.0ms	x	@	inf	(.f64 (-.f64 1/2 1/8) (.f64 x x))

Compiler

Compiled 2510 to 2145 computations (14.5% saved)

rewrite1.6s (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

78×	`egg-rr`
57×	`egg-rr`
53×	`egg-rr`
39×	`egg-rr`

Counts

4 → 227

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 1/2) (fma.f64 (.f64 3/8 x) x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (sqrt.f64 1/2) (fma.f64 (.f64 3/8 x) x x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (sqrt.f64 1/2) (fma.f64 (.f64 3/8 x) x x))) (cbrt.f64 (.f64 1/2 (pow.f64 (fma.f64 (.f64 3/8 x) x x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 1/2 (pow.f64 (fma.f64 (.f64 3/8 x) x x) 2))) (cbrt.f64 (.f64 (sqrt.f64 1/2) (fma.f64 (.f64 3/8 x) x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (sqrt.f64 1/2)) (.f64 (fma.f64 (.f64 3/8 x) x x) (sqrt.f64 (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (fma.f64 (.f64 3/8 x) x x)) (sqrt.f64 (sqrt.f64 1/2))) (.f64 (cbrt.f64 (pow.f64 (fma.f64 (.f64 3/8 x) x x) 2)) (sqrt.f64 (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (fma.f64 (.f64 3/8 x) x x) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (fma.f64 (.f64 3/8 x) x x) (sqrt.f64 (sqrt.f64 1/2))) (sqrt.f64 (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 1/2) (fma.f64 (.f64 3/8 x) x x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 (.f64 3/8 x) x x) (sqrt.f64 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 (.f64 3/8 x) x x)) (.f64 (cbrt.f64 (pow.f64 (fma.f64 (.f64 3/8 x) x x) 2)) (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 (-.f64 (.f64 -3/8 (pow.f64 x 2)) x) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (sqrt.f64 1/2)) (.f64 (fma.f64 (.f64 3/8 x) x x) (cbrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 -3/8 (pow.f64 x 2)) x) (neg.f64 (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (neg.f64 (sqrt.f64 2))) (/.f64 (-.f64 (.f64 -3/8 (pow.f64 x 2)) x) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (-.f64 (.f64 -3/8 (pow.f64 x 2)) x) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 1/2) (fma.f64 (.f64 3/8 x) x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (fma.f64 (.f64 3/8 x) x x) (sqrt.f64 (sqrt.f64 1/2))) (sqrt.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 (fma.f64 (.f64 3/8 x) x x) (cbrt.f64 (sqrt.f64 1/2)))) (neg.f64 (cbrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 (fma.f64 (.f64 3/8 x) x x) (sqrt.f64 (sqrt.f64 1/2)))) (neg.f64 (sqrt.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (.f64 -3/8 (pow.f64 x 2)) x) (sqrt.f64 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (.f64 3/8 x) x x) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (fma.f64 (.f64 3/8 x) x x) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 -3/8 (pow.f64 x 2)) x) (neg.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (sqrt.f64 1/2) (fma.f64 (.f64 3/8 x) x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (fma.f64 (.f64 3/8 x) x x) 3) (sqrt.f64 1/8)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (sqrt.f64 1/2) (fma.f64 (.f64 3/8 x) x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (fma.f64 (.f64 3/8 x) x x) 3) (sqrt.f64 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (.f64 (pow.f64 (fma.f64 (.f64 3/8 x) x x) 3) (sqrt.f64 1/8)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 (.f64 -3/8 (pow.f64 x 2)) x) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (-.f64 (.f64 -3/8 (pow.f64 x 2)) x) (sqrt.f64 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (cbrt.f64 (pow.f64 (fma.f64 (.f64 3/8 x) x x) 2)) 0) (/.f64 (cbrt.f64 (fma.f64 (.f64 3/8 x) x x)) (/.f64 (sqrt.f64 2) (cbrt.f64 (pow.f64 (fma.f64 (.f64 3/8 x) x x) 2)))) (.f64 (sqrt.f64 1/2) (fma.f64 (.f64 3/8 x) x x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (fma.f64 (.f64 3/8 x) x x) 0) (pow.f64 (/.f64 (sqrt.f64 2) (fma.f64 (.f64 3/8 x) x x)) -1) (.f64 (sqrt.f64 1/2) (fma.f64 (.f64 3/8 x) x x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 1 0) (.f64 (sqrt.f64 1/2) (fma.f64 (.f64 3/8 x) x x)) (.f64 (sqrt.f64 1/2) (fma.f64 (.f64 3/8 x) x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (fma.f64 (.f64 3/8 x) x x) (sqrt.f64 1/8)) (.f64 (fma.f64 (.f64 3/8 x) x x) (sqrt.f64 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (pow.f64 x 2) 3/8) (sqrt.f64 1/2)) (.f64 x (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (sqrt.f64 1/2)) (.f64 (.f64 (pow.f64 x 2) 3/8) (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 x 2) 3/8)) (.f64 (sqrt.f64 1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sqrt.f64 1/2) x) (.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 x 2) 3/8)))))))
((#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (pow.f64 x 2) 3/8)) (cbrt.f64 (.f64 9/64 (pow.f64 (pow.f64 x 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 9/64 (pow.f64 (pow.f64 x 2) 2))) (cbrt.f64 (.f64 (pow.f64 x 2) 3/8)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x (sqrt.f64 3/8)) (.f64 x (sqrt.f64 3/8)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 3/8) x) (.f64 (sqrt.f64 3/8) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 3/8) (.f64 (sqrt.f64 3/8) (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 x 2)) (.f64 (cbrt.f64 (pow.f64 (pow.f64 x 2) 2)) 3/8))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 3/8 x) (cbrt.f64 x)) (cbrt.f64 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 x 2) (sqrt.f64 3/8)) (sqrt.f64 3/8))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 x 2) (cbrt.f64 3/8)) (cbrt.f64 9/64))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 3/8 (cbrt.f64 (pow.f64 x 2))) (cbrt.f64 (pow.f64 (pow.f64 x 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 x 2) 3/8)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 3/8 (pow.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 3/8 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (.f64 3/8 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 x 2) 3/8) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (pow.f64 x 2) 3/8))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 15/64 (pow.f64 x 2)) 8/5)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 x 2) 15/64) 8/5)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 63/512 (pow.f64 x 2)) 64/21)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 x 2) 63/512) 64/21)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (.f64 -3/8 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 15/64 (pow.f64 x 2)) 15/64) 3/8)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 (pow.f64 x 2) 15/64) 15/64) 3/8)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 15/64 (pow.f64 x 2)) 65/512) 13/64)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 (pow.f64 x 2) 15/64) 65/512) 13/64)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 63/512 (pow.f64 x 2)) 231/4096) 11/64)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 (pow.f64 x 2) 63/512) 231/4096) 11/64)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 x (sqrt.f64 3/8)) 1) (.f64 (.f64 x (sqrt.f64 3/8)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 (sqrt.f64 3/8) x) 1) (.f64 (.f64 (sqrt.f64 3/8) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 1 (.f64 x (sqrt.f64 3/8))) (.f64 1 (.f64 x (sqrt.f64 3/8))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 1 (.f64 (sqrt.f64 3/8) x)) (.f64 1 (.f64 (sqrt.f64 3/8) x)))))) (#(struct:change 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simplify4.9s (6.5%)

Algorithm

1×

egglog

Counts

269 → 294

Calls

Call 1

Inputs
(/.f64 x (sqrt.f64 2))
(+.f64 (*.f64 3/8 (/.f64 (pow.f64 x 2) (sqrt.f64 2))) (/.f64 x (sqrt.f64 2)))
(+.f64 (*.f64 3/8 (/.f64 (pow.f64 x 2) (sqrt.f64 2))) (/.f64 x (sqrt.f64 2)))
(+.f64 (*.f64 3/8 (/.f64 (pow.f64 x 2) (sqrt.f64 2))) (/.f64 x (sqrt.f64 2)))
(+.f64 (*.f64 3/8 (/.f64 (pow.f64 (/.f64 1 x) -2) (sqrt.f64 2))) (/.f64 x (sqrt.f64 2)))
(+.f64 (*.f64 3/8 (/.f64 (pow.f64 (/.f64 1 x) -2) (sqrt.f64 2))) (/.f64 x (sqrt.f64 2)))
(+.f64 (*.f64 3/8 (/.f64 (pow.f64 (/.f64 1 x) -2) (sqrt.f64 2))) (/.f64 x (sqrt.f64 2)))
(+.f64 (/.f64 x (sqrt.f64 2)) (*.f64 3/8 (/.f64 (pow.f64 (/.f64 -1 x) -2) (sqrt.f64 2))))
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(+.f64 (*.f64 (pow.f64 x 2) 3/8) (neg.f64 (neg.f64 x)))

Outputs
(/.f64 x (sqrt.f64 2))
(*.f64 (sqrt.f64 1/2) x)
(+.f64 (*.f64 3/8 (/.f64 (pow.f64 x 2) (sqrt.f64 2))) (/.f64 x (sqrt.f64 2)))
(.f64 (sqrt.f64 1/2) (fma.f64 (.f64 3/8 x) x x))
(+.f64 (*.f64 3/8 (/.f64 (pow.f64 x 2) (sqrt.f64 2))) (/.f64 x (sqrt.f64 2)))
(.f64 (sqrt.f64 1/2) (fma.f64 (.f64 3/8 x) x x))
(+.f64 (*.f64 3/8 (/.f64 (pow.f64 x 2) (sqrt.f64 2))) (/.f64 x (sqrt.f64 2)))
(.f64 (sqrt.f64 1/2) (fma.f64 (.f64 3/8 x) x x))
(+.f64 (*.f64 3/8 (/.f64 (pow.f64 (/.f64 1 x) -2) (sqrt.f64 2))) (/.f64 x (sqrt.f64 2)))
(/.f64 (+.f64 x (*.f64 3/8 (pow.f64 (pow.f64 x -1) -2))) (sqrt.f64 2))
(+.f64 (*.f64 3/8 (/.f64 (pow.f64 (/.f64 1 x) -2) (sqrt.f64 2))) (/.f64 x (sqrt.f64 2)))
(/.f64 (+.f64 x (*.f64 3/8 (pow.f64 (pow.f64 x -1) -2))) (sqrt.f64 2))
(+.f64 (*.f64 3/8 (/.f64 (pow.f64 (/.f64 1 x) -2) (sqrt.f64 2))) (/.f64 x (sqrt.f64 2)))
(/.f64 (+.f64 x (*.f64 3/8 (pow.f64 (pow.f64 x -1) -2))) (sqrt.f64 2))
(+.f64 (/.f64 x (sqrt.f64 2)) (*.f64 3/8 (/.f64 (pow.f64 (/.f64 -1 x) -2) (sqrt.f64 2))))
(/.f64 (+.f64 x (*.f64 3/8 (pow.f64 (/.f64 -1 x) -2))) (sqrt.f64 2))
(+.f64 (/.f64 x (sqrt.f64 2)) (*.f64 3/8 (/.f64 (pow.f64 (/.f64 -1 x) -2) (sqrt.f64 2))))
(/.f64 (+.f64 x (*.f64 3/8 (pow.f64 (/.f64 -1 x) -2))) (sqrt.f64 2))
(+.f64 (/.f64 x (sqrt.f64 2)) (*.f64 3/8 (/.f64 (pow.f64 (/.f64 -1 x) -2) (sqrt.f64 2))))
(/.f64 (+.f64 x (*.f64 3/8 (pow.f64 (/.f64 -1 x) -2))) (sqrt.f64 2))
(*.f64 3/8 (pow.f64 x 2))
(.f64 x (.f64 3/8 x))
(*.f64 3/8 (pow.f64 x 2))
(.f64 x (.f64 3/8 x))
(*.f64 3/8 (pow.f64 x 2))
(.f64 x (.f64 3/8 x))
(*.f64 3/8 (pow.f64 x 2))
(.f64 x (.f64 3/8 x))
(*.f64 3/8 (pow.f64 (/.f64 1 x) -2))
(*.f64 3/8 (pow.f64 (pow.f64 x -1) -2))
(*.f64 3/8 (pow.f64 (/.f64 1 x) -2))
(*.f64 3/8 (pow.f64 (pow.f64 x -1) -2))
(*.f64 3/8 (pow.f64 (/.f64 1 x) -2))
(*.f64 3/8 (pow.f64 (pow.f64 x -1) -2))
(*.f64 3/8 (pow.f64 (/.f64 1 x) -2))
(*.f64 3/8 (pow.f64 (pow.f64 x -1) -2))
(*.f64 3/8 (pow.f64 (/.f64 -1 x) -2))
(*.f64 3/8 (pow.f64 (/.f64 -1 x) -2))
(*.f64 3/8 (pow.f64 (/.f64 -1 x) -2))
(*.f64 3/8 (pow.f64 (/.f64 -1 x) -2))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 3/16 (/.f64 (pow.f64 x 2) (sqrt.f64 2))) (.f64 1/2 (/.f64 x (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (/.f64 (+.f64 (.f64 3/16 (pow.f64 x 2)) (.f64 1/2 x)) (sqrt.f64 2)))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 3/16 (/.f64 (pow.f64 x 2) (sqrt.f64 2))) (.f64 1/2 (/.f64 x (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (/.f64 (+.f64 (.f64 3/16 (pow.f64 x 2)) (.f64 1/2 x)) (sqrt.f64 2)))
(+.f64 (.f64 3/16 (/.f64 (pow.f64 (/.f64 1 x) -2) (sqrt.f64 2))) (.f64 1/2 (/.f64 x (sqrt.f64 2))))
(/.f64 (+.f64 (.f64 1/2 x) (.f64 3/16 (pow.f64 (pow.f64 x -1) -2))) (sqrt.f64 2))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 3/16 (/.f64 (pow.f64 (/.f64 1 x) -2) (sqrt.f64 2))) (.f64 1/2 (/.f64 x (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (/.f64 (+.f64 (.f64 1/2 x) (.f64 3/16 (pow.f64 (pow.f64 x -1) -2))) (sqrt.f64 2)))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 3/16 (/.f64 (pow.f64 (/.f64 1 x) -2) (sqrt.f64 2))) (.f64 1/2 (/.f64 x (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (/.f64 (+.f64 (.f64 1/2 x) (.f64 3/16 (pow.f64 (pow.f64 x -1) -2))) (sqrt.f64 2)))
(+.f64 (.f64 1/2 (/.f64 x (sqrt.f64 2))) (.f64 3/16 (/.f64 (pow.f64 (/.f64 -1 x) -2) (sqrt.f64 2))))
(/.f64 (+.f64 (.f64 3/16 (pow.f64 (/.f64 -1 x) -2)) (.f64 1/2 x)) (sqrt.f64 2))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 1/2 (/.f64 x (sqrt.f64 2))) (.f64 3/16 (/.f64 (pow.f64 (/.f64 -1 x) -2) (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (/.f64 (+.f64 (.f64 3/16 (pow.f64 (/.f64 -1 x) -2)) (.f64 1/2 x)) (sqrt.f64 2)))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 1/2 (/.f64 x (sqrt.f64 2))) (.f64 3/16 (/.f64 (pow.f64 (/.f64 -1 x) -2) (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (/.f64 (+.f64 (.f64 3/16 (pow.f64 (/.f64 -1 x) -2)) (.f64 1/2 x)) (sqrt.f64 2)))
x
(+.f64 (*.f64 3/8 (pow.f64 x 2)) x)
(fma.f64 (*.f64 3/8 x) x x)
(+.f64 (*.f64 3/8 (pow.f64 x 2)) x)
(fma.f64 (*.f64 3/8 x) x x)
(+.f64 (*.f64 3/8 (pow.f64 x 2)) x)
(fma.f64 (*.f64 3/8 x) x x)
(*.f64 3/8 (pow.f64 (/.f64 1 x) -2))
(*.f64 3/8 (pow.f64 (pow.f64 x -1) -2))
(+.f64 x (*.f64 3/8 (pow.f64 (/.f64 1 x) -2)))
(+.f64 x (*.f64 3/8 (pow.f64 (pow.f64 x -1) -2)))
(+.f64 x (*.f64 3/8 (pow.f64 (/.f64 1 x) -2)))
(+.f64 x (*.f64 3/8 (pow.f64 (pow.f64 x -1) -2)))
(+.f64 x (*.f64 3/8 (pow.f64 (/.f64 1 x) -2)))
(+.f64 x (*.f64 3/8 (pow.f64 (pow.f64 x -1) -2)))
(*.f64 3/8 (pow.f64 (/.f64 -1 x) -2))
(+.f64 x (*.f64 3/8 (pow.f64 (/.f64 -1 x) -2)))
(+.f64 x (*.f64 3/8 (pow.f64 (/.f64 -1 x) -2)))
(+.f64 x (*.f64 3/8 (pow.f64 (/.f64 -1 x) -2)))
(.f64 (.f64 (sqrt.f64 1/2) (fma.f64 (*.f64 3/8 x) x x)) 1)
(.f64 (sqrt.f64 1/2) (fma.f64 (.f64 3/8 x) x x))
(.f64 1 (.f64 (sqrt.f64 1/2) (fma.f64 (*.f64 3/8 x) x x)))
(.f64 (sqrt.f64 1/2) (fma.f64 (.f64 3/8 x) x x))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 1/2) (fma.f64 (.f64 3/8 x) x x))) (cbrt.f64 (.f64 1/2 (pow.f64 (fma.f64 (*.f64 3/8 x) x x) 2))))
(.f64 (sqrt.f64 1/2) (fma.f64 (.f64 3/8 x) x x))
(.f64 (cbrt.f64 (.f64 1/2 (pow.f64 (fma.f64 (.f64 3/8 x) x x) 2))) (cbrt.f64 (.f64 (sqrt.f64 1/2) (fma.f64 (*.f64 3/8 x) x x))))
(.f64 (sqrt.f64 1/2) (fma.f64 (.f64 3/8 x) x x))
(.f64 (sqrt.f64 (sqrt.f64 1/2)) (.f64 (fma.f64 (*.f64 3/8 x) x x) (sqrt.f64 (sqrt.f64 1/2))))
(.f64 (sqrt.f64 1/2) (fma.f64 (.f64 3/8 x) x x))
(.f64 (.f64 (cbrt.f64 (fma.f64 (.f64 3/8 x) x x)) (sqrt.f64 (sqrt.f64 1/2))) (.f64 (cbrt.f64 (pow.f64 (fma.f64 (*.f64 3/8 x) x x) 2)) (sqrt.f64 (sqrt.f64 1/2))))
(.f64 (.f64 (fma.f64 (*.f64 3/8 x) x x) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 1/2))
(.f64 (fma.f64 (.f64 3/8 x) x x) (cbrt.f64 (*.f64 (sqrt.f64 1/2) 1/2)))
(.f64 (.f64 (fma.f64 (*.f64 3/8 x) x x) (sqrt.f64 (sqrt.f64 1/2))) (sqrt.f64 (sqrt.f64 1/2)))
(.f64 (sqrt.f64 1/2) (fma.f64 (.f64 3/8 x) x x))
(.f64 (sqrt.f64 1/2) (fma.f64 (.f64 3/8 x) x x))
(.f64 (fma.f64 (.f64 3/8 x) x x) (sqrt.f64 1/2))
(.f64 (sqrt.f64 1/2) (fma.f64 (.f64 3/8 x) x x))
(.f64 (cbrt.f64 (fma.f64 (.f64 3/8 x) x x)) (.f64 (cbrt.f64 (pow.f64 (fma.f64 (.f64 3/8 x) x x) 2)) (sqrt.f64 1/2)))
(.f64 (sqrt.f64 1/2) (fma.f64 (.f64 3/8 x) x x))
(.f64 -1 (/.f64 (-.f64 (.f64 -3/8 (pow.f64 x 2)) x) (sqrt.f64 2)))
(.f64 (sqrt.f64 1/2) (fma.f64 (.f64 3/8 x) x x))
(.f64 (cbrt.f64 (sqrt.f64 1/2)) (.f64 (fma.f64 (*.f64 3/8 x) x x) (cbrt.f64 1/2)))
(.f64 (fma.f64 (.f64 3/8 x) x x) (cbrt.f64 (*.f64 (sqrt.f64 1/2) 1/2)))
(.f64 (-.f64 (.f64 -3/8 (pow.f64 x 2)) x) (neg.f64 (sqrt.f64 1/2)))
(.f64 (sqrt.f64 1/2) (fma.f64 (.f64 3/8 x) x x))
(-.f64 (/.f64 0 (neg.f64 (sqrt.f64 2))) (/.f64 (-.f64 (*.f64 -3/8 (pow.f64 x 2)) x) (sqrt.f64 2)))
(.f64 (sqrt.f64 1/2) (fma.f64 (.f64 3/8 x) x x))
(-.f64 0 (/.f64 (-.f64 (*.f64 -3/8 (pow.f64 x 2)) x) (sqrt.f64 2)))
(.f64 (sqrt.f64 1/2) (fma.f64 (.f64 3/8 x) x x))
(/.f64 (.f64 (sqrt.f64 1/2) (fma.f64 (.f64 3/8 x) x x)) 1)
(.f64 (sqrt.f64 1/2) (fma.f64 (.f64 3/8 x) x x))
(/.f64 (.f64 (fma.f64 (.f64 3/8 x) x x) (sqrt.f64 (sqrt.f64 1/2))) (sqrt.f64 (sqrt.f64 2)))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 3/8 x) x x) (cbrt.f64 (sqrt.f64 1/2)))) (neg.f64 (cbrt.f64 2)))
(.f64 (fma.f64 (.f64 3/8 x) x x) (cbrt.f64 (*.f64 (sqrt.f64 1/2) 1/2)))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 3/8 x) x x) (sqrt.f64 (sqrt.f64 1/2)))) (neg.f64 (sqrt.f64 (sqrt.f64 2))))
(/.f64 (.f64 (fma.f64 (.f64 3/8 x) x x) (sqrt.f64 (sqrt.f64 1/2))) (sqrt.f64 (sqrt.f64 2)))
(/.f64 (/.f64 (-.f64 (*.f64 -3/8 (pow.f64 x 2)) x) (sqrt.f64 2)) -1)
(.f64 (sqrt.f64 1/2) (fma.f64 (.f64 3/8 x) x x))
(/.f64 (fma.f64 (*.f64 3/8 x) x x) (sqrt.f64 2))
(.f64 (sqrt.f64 1/2) (fma.f64 (.f64 3/8 x) x x))
(/.f64 (.f64 (fma.f64 (.f64 3/8 x) x x) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 2))
(.f64 (fma.f64 (.f64 3/8 x) x x) (cbrt.f64 (*.f64 (sqrt.f64 1/2) 1/2)))
(/.f64 (-.f64 (*.f64 -3/8 (pow.f64 x 2)) x) (neg.f64 (sqrt.f64 2)))
(.f64 (sqrt.f64 1/2) (fma.f64 (.f64 3/8 x) x x))
(pow.f64 (.f64 (sqrt.f64 1/2) (fma.f64 (.f64 3/8 x) x x)) 1)
(.f64 (sqrt.f64 1/2) (fma.f64 (.f64 3/8 x) x x))
(pow.f64 (.f64 (pow.f64 (fma.f64 (.f64 3/8 x) x x) 3) (sqrt.f64 1/8)) 1/3)
(.f64 (fma.f64 (.f64 3/8 x) x x) (cbrt.f64 (sqrt.f64 1/8)))
(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 1/2) (fma.f64 (.f64 3/8 x) x x))) 3)
(.f64 (sqrt.f64 1/2) (fma.f64 (.f64 3/8 x) x x))
(cbrt.f64 (.f64 (pow.f64 (fma.f64 (.f64 3/8 x) x x) 3) (sqrt.f64 1/8)))
(.f64 (fma.f64 (.f64 3/8 x) x x) (cbrt.f64 (sqrt.f64 1/8)))
(cbrt.f64 (/.f64 (.f64 (pow.f64 (fma.f64 (.f64 3/8 x) x x) 3) (sqrt.f64 1/8)) 1))
(.f64 (fma.f64 (.f64 3/8 x) x x) (cbrt.f64 (sqrt.f64 1/8)))
(neg.f64 (/.f64 (-.f64 (*.f64 -3/8 (pow.f64 x 2)) x) (sqrt.f64 2)))
(.f64 (sqrt.f64 1/2) (fma.f64 (.f64 3/8 x) x x))
(neg.f64 (/.f64 (/.f64 (-.f64 (*.f64 -3/8 (pow.f64 x 2)) x) (sqrt.f64 2)) 1))
(.f64 (sqrt.f64 1/2) (fma.f64 (.f64 3/8 x) x x))
(if (!=.f64 (cbrt.f64 (pow.f64 (fma.f64 (.f64 3/8 x) x x) 2)) 0) (/.f64 (cbrt.f64 (fma.f64 (.f64 3/8 x) x x)) (/.f64 (sqrt.f64 2) (cbrt.f64 (pow.f64 (fma.f64 (.f64 3/8 x) x x) 2)))) (.f64 (sqrt.f64 1/2) (fma.f64 (*.f64 3/8 x) x x)))
(if (!=.f64 (fma.f64 (.f64 3/8 x) x x) 0) (pow.f64 (/.f64 (sqrt.f64 2) (fma.f64 (.f64 3/8 x) x x)) -1) (.f64 (sqrt.f64 1/2) (fma.f64 (.f64 3/8 x) x x)))
(if (!=.f64 (fma.f64 (.f64 3/8 x) x x) 0) (/.f64 (sqrt.f64 1/2) (pow.f64 (fma.f64 (.f64 3/8 x) x x) -1)) (.f64 (sqrt.f64 1/2) (fma.f64 (.f64 3/8 x) x x)))
(if (!=.f64 1 0) (.f64 (sqrt.f64 1/2) (fma.f64 (.f64 3/8 x) x x)) (.f64 (sqrt.f64 1/2) (fma.f64 (.f64 3/8 x) x x)))
(+.f64 (.f64 (fma.f64 (.f64 3/8 x) x x) (sqrt.f64 1/8)) (.f64 (fma.f64 (.f64 3/8 x) x x) (sqrt.f64 1/8)))
(.f64 (fma.f64 (.f64 3/8 x) x x) (*.f64 2 (sqrt.f64 1/8)))
(+.f64 (.f64 (.f64 (pow.f64 x 2) 3/8) (sqrt.f64 1/2)) (*.f64 x (sqrt.f64 1/2)))
(.f64 (sqrt.f64 1/2) (fma.f64 (.f64 3/8 x) x x))
(+.f64 (.f64 x (sqrt.f64 1/2)) (.f64 (*.f64 (pow.f64 x 2) 3/8) (sqrt.f64 1/2)))
(.f64 (sqrt.f64 1/2) (fma.f64 (.f64 3/8 x) x x))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 x 2) 3/8)) (*.f64 (sqrt.f64 1/2) x))
(.f64 (sqrt.f64 1/2) (fma.f64 (.f64 3/8 x) x x))
(+.f64 (.f64 (sqrt.f64 1/2) x) (.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 x 2) 3/8)))
(.f64 (sqrt.f64 1/2) (fma.f64 (.f64 3/8 x) x x))
(.f64 (cbrt.f64 (.f64 (pow.f64 x 2) 3/8)) (cbrt.f64 (*.f64 9/64 (pow.f64 (pow.f64 x 2) 2))))
(.f64 x (.f64 3/8 x))
(.f64 (cbrt.f64 (.f64 9/64 (pow.f64 (pow.f64 x 2) 2))) (cbrt.f64 (*.f64 (pow.f64 x 2) 3/8)))
(.f64 x (.f64 3/8 x))
(.f64 (.f64 x (sqrt.f64 3/8)) (*.f64 x (sqrt.f64 3/8)))
(.f64 x (.f64 3/8 x))
(.f64 (.f64 (sqrt.f64 3/8) x) (*.f64 (sqrt.f64 3/8) x))
(.f64 x (.f64 3/8 x))
(.f64 (sqrt.f64 3/8) (.f64 (sqrt.f64 3/8) (pow.f64 x 2)))
(.f64 x (.f64 3/8 x))
(.f64 (cbrt.f64 (pow.f64 x 2)) (.f64 (cbrt.f64 (pow.f64 (pow.f64 x 2) 2)) 3/8))
(.f64 x (.f64 3/8 x))
(.f64 (.f64 (*.f64 3/8 x) (cbrt.f64 x)) (cbrt.f64 (pow.f64 x 2)))
(.f64 x (.f64 3/8 x))
(.f64 (.f64 (pow.f64 x 2) (sqrt.f64 3/8)) (sqrt.f64 3/8))
(.f64 x (.f64 3/8 x))
(.f64 (.f64 (pow.f64 x 2) (cbrt.f64 3/8)) (cbrt.f64 9/64))
(.f64 (pow.f64 x 2) (cbrt.f64 (.f64 3/8 9/64)))
(.f64 (.f64 3/8 (cbrt.f64 (pow.f64 x 2))) (cbrt.f64 (pow.f64 (pow.f64 x 2) 2)))
(.f64 x (.f64 3/8 x))
(*.f64 (pow.f64 x 2) 3/8)
(.f64 x (.f64 3/8 x))
(*.f64 3/8 (pow.f64 x 2))
(.f64 x (.f64 3/8 x))
(.f64 (.f64 3/8 x) x)
(.f64 x (.f64 3/8 x))
(.f64 x (.f64 3/8 x))
(.f64 (.f64 (pow.f64 x 2) 3/8) 1)
(.f64 x (.f64 3/8 x))
(.f64 1 (.f64 (pow.f64 x 2) 3/8))
(.f64 x (.f64 3/8 x))
(.f64 (.f64 15/64 (pow.f64 x 2)) 8/5)
(.f64 x (.f64 3/8 x))
(.f64 (.f64 (pow.f64 x 2) 15/64) 8/5)
(.f64 x (.f64 3/8 x))
(.f64 (.f64 63/512 (pow.f64 x 2)) 64/21)
(.f64 x (.f64 3/8 x))
(.f64 (.f64 (pow.f64 x 2) 63/512) 64/21)
(.f64 x (.f64 3/8 x))
(.f64 -1 (.f64 -3/8 (pow.f64 x 2)))
(.f64 x (.f64 3/8 x))
(.f64 (/.f64 (.f64 15/64 (pow.f64 x 2)) 15/64) 3/8)
(.f64 x (.f64 3/8 x))
(.f64 (/.f64 (.f64 (pow.f64 x 2) 15/64) 15/64) 3/8)
(.f64 x (.f64 3/8 x))
(.f64 (/.f64 (.f64 15/64 (pow.f64 x 2)) 65/512) 13/64)
(/.f64 (*.f64 (pow.f64 x 2) 13/64) 13/24)
(.f64 (/.f64 (.f64 (pow.f64 x 2) 15/64) 65/512) 13/64)
(/.f64 (*.f64 (pow.f64 x 2) 13/64) 13/24)
(.f64 (/.f64 (.f64 63/512 (pow.f64 x 2)) 231/4096) 11/64)
(/.f64 (*.f64 (pow.f64 x 2) 11/64) 11/24)
(.f64 (/.f64 (.f64 (pow.f64 x 2) 63/512) 231/4096) 11/64)
(/.f64 (*.f64 (pow.f64 x 2) 11/64) 11/24)
(.f64 (.f64 (.f64 x (sqrt.f64 3/8)) 1) (.f64 (*.f64 x (sqrt.f64 3/8)) 1))
(.f64 x (.f64 3/8 x))
(.f64 (.f64 (.f64 (sqrt.f64 3/8) x) 1) (.f64 (*.f64 (sqrt.f64 3/8) x) 1))
(.f64 x (.f64 3/8 x))
(.f64 (.f64 1 (.f64 x (sqrt.f64 3/8))) (.f64 1 (*.f64 x (sqrt.f64 3/8))))
(.f64 x (.f64 3/8 x))
(.f64 (.f64 1 (.f64 (sqrt.f64 3/8) x)) (.f64 1 (*.f64 (sqrt.f64 3/8) x)))
(.f64 x (.f64 3/8 x))
(.f64 (cbrt.f64 3/8) (.f64 (cbrt.f64 9/64) (pow.f64 x 2)))
(.f64 (cbrt.f64 (.f64 3/8 9/64)) (pow.f64 x 2))
(*.f64 (neg.f64 (pow.f64 x 2)) -3/8)
(.f64 x (.f64 3/8 x))
(*.f64 -3/8 (neg.f64 (pow.f64 x 2)))
(.f64 x (.f64 3/8 x))
(-.f64 0 (*.f64 -3/8 (pow.f64 x 2)))
(.f64 x (.f64 3/8 x))
(/.f64 (*.f64 15/64 (pow.f64 x 2)) 5/8)
(.f64 x (.f64 3/8 x))
(/.f64 (*.f64 (pow.f64 x 2) 15/64) 5/8)
(.f64 x (.f64 3/8 x))
(/.f64 (*.f64 63/512 (pow.f64 x 2)) 21/64)
(.f64 x (.f64 3/8 x))
(/.f64 (*.f64 (pow.f64 x 2) 63/512) 21/64)
(.f64 x (.f64 3/8 x))
(/.f64 (pow.f64 x 2) 8/3)
(.f64 x (.f64 3/8 x))
(/.f64 (*.f64 (pow.f64 x 2) 3/8) 1)
(.f64 x (.f64 3/8 x))
(/.f64 (pow.f64 x 2) (/.f64 21/64 63/512))
(.f64 x (.f64 3/8 x))
(/.f64 (neg.f64 (*.f64 15/64 (pow.f64 x 2))) -5/8)
(.f64 x (.f64 3/8 x))
(/.f64 (neg.f64 (*.f64 (pow.f64 x 2) 15/64)) -5/8)
(.f64 x (.f64 3/8 x))
(/.f64 (neg.f64 (*.f64 63/512 (pow.f64 x 2))) -21/64)
(.f64 x (.f64 3/8 x))
(/.f64 (neg.f64 (*.f64 (pow.f64 x 2) 63/512)) -21/64)
(.f64 x (.f64 3/8 x))
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(.f64 (neg.f64 (cbrt.f64 (fma.f64 (.f64 3/8 x) x x))) (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 (*.f64 3/8 x) x x) 2))))
(fma.f64 (*.f64 3/8 x) x x)
(.f64 (cbrt.f64 (pow.f64 x 2)) (+.f64 (.f64 (*.f64 3/8 x) (cbrt.f64 x)) (cbrt.f64 x)))
(fma.f64 (*.f64 3/8 x) x x)
(.f64 (cbrt.f64 (pow.f64 x 2)) (+.f64 (cbrt.f64 x) (.f64 (*.f64 3/8 x) (cbrt.f64 x))))
(fma.f64 (*.f64 3/8 x) x x)
(.f64 (+.f64 (cbrt.f64 (pow.f64 x 2)) (-.f64 (cbrt.f64 (.f64 9/64 (pow.f64 (pow.f64 x 2) 2))) (.f64 (cbrt.f64 3/8) x))) (+.f64 (cbrt.f64 x) (cbrt.f64 (.f64 (pow.f64 x 2) 3/8))))
(.f64 (-.f64 (cbrt.f64 (.f64 9/64 (pow.f64 (pow.f64 x 2) 2))) (-.f64 (.f64 x (cbrt.f64 3/8)) (cbrt.f64 (pow.f64 x 2)))) (+.f64 (cbrt.f64 x) (cbrt.f64 (.f64 x (*.f64 3/8 x)))))
(.f64 (+.f64 (cbrt.f64 (.f64 9/64 (pow.f64 (pow.f64 x 2) 2))) (-.f64 (cbrt.f64 (pow.f64 x 2)) (.f64 (cbrt.f64 3/8) x))) (+.f64 (cbrt.f64 (.f64 (pow.f64 x 2) 3/8)) (cbrt.f64 x)))
(.f64 (-.f64 (cbrt.f64 (.f64 9/64 (pow.f64 (pow.f64 x 2) 2))) (-.f64 (.f64 x (cbrt.f64 3/8)) (cbrt.f64 (pow.f64 x 2)))) (+.f64 (cbrt.f64 x) (cbrt.f64 (.f64 x (*.f64 3/8 x)))))
(.f64 (neg.f64 (cbrt.f64 (-.f64 (.f64 -3/8 (pow.f64 x 2)) x))) (pow.f64 (cbrt.f64 (-.f64 (*.f64 -3/8 (pow.f64 x 2)) x)) 2))
(fma.f64 (*.f64 3/8 x) x x)
(.f64 (neg.f64 (neg.f64 (cbrt.f64 (fma.f64 (.f64 3/8 x) x x)))) (cbrt.f64 (pow.f64 (fma.f64 (*.f64 3/8 x) x x) 2)))
(fma.f64 (*.f64 3/8 x) x x)
(.f64 (cbrt.f64 (pow.f64 x 2)) (+.f64 (.f64 (cbrt.f64 (pow.f64 (pow.f64 x 2) 2)) 3/8) (cbrt.f64 x)))
(fma.f64 (*.f64 3/8 x) x x)
(.f64 (cbrt.f64 (pow.f64 x 2)) (+.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (pow.f64 (pow.f64 x 2) 2)) 3/8)))
(fma.f64 (*.f64 3/8 x) x x)
(.f64 (-.f64 1 (.f64 -3/8 x)) x)
(fma.f64 (*.f64 3/8 x) x x)
(.f64 x (-.f64 1 (.f64 -3/8 x)))
(fma.f64 (*.f64 3/8 x) x x)
(.f64 -1 (-.f64 (.f64 -3/8 (pow.f64 x 2)) x))
(fma.f64 (*.f64 3/8 x) x x)
(-.f64 x (*.f64 -3/8 (pow.f64 x 2)))
(fma.f64 (*.f64 3/8 x) x x)
(-.f64 0 (-.f64 (*.f64 -3/8 (pow.f64 x 2)) x))
(fma.f64 (*.f64 3/8 x) x x)
(/.f64 (fma.f64 (*.f64 3/8 x) x x) 1)
(fma.f64 (*.f64 3/8 x) x x)
(/.f64 (-.f64 (*.f64 -3/8 (pow.f64 x 2)) x) -1)
(fma.f64 (*.f64 3/8 x) x x)
(fma.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 x 2)) (*.f64 (pow.f64 x 2) 3/8))
(fma.f64 (*.f64 3/8 x) x x)
(fma.f64 (*.f64 3/8 x) x x)
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 2) 3/8)) (cbrt.f64 (.f64 9/64 (pow.f64 (pow.f64 x 2) 2))) x)
(fma.f64 (*.f64 3/8 x) x x)
(fma.f64 (pow.f64 x 2) 3/8 x)
(fma.f64 (*.f64 3/8 x) x x)
(fma.f64 3/8 (pow.f64 x 2) x)
(fma.f64 (*.f64 3/8 x) x x)
(fma.f64 1 x (*.f64 (pow.f64 x 2) 3/8))
(fma.f64 (*.f64 3/8 x) x x)
(fma.f64 1 (*.f64 (pow.f64 x 2) 3/8) x)
(fma.f64 (*.f64 3/8 x) x x)
(pow.f64 (pow.f64 (fma.f64 (*.f64 3/8 x) x x) 3) 1/3)
(fma.f64 (*.f64 3/8 x) x x)
(pow.f64 (cbrt.f64 (fma.f64 (*.f64 3/8 x) x x)) 3)
(fma.f64 (*.f64 3/8 x) x x)
(pow.f64 (fma.f64 (*.f64 3/8 x) x x) 1)
(fma.f64 (*.f64 3/8 x) x x)
(cbrt.f64 (pow.f64 (fma.f64 (*.f64 3/8 x) x x) 3))
(fma.f64 (*.f64 3/8 x) x x)
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 3/8 x) x x) 3) 1))
(fma.f64 (*.f64 3/8 x) x x)
(neg.f64 (-.f64 (*.f64 -3/8 (pow.f64 x 2)) x))
(fma.f64 (*.f64 3/8 x) x x)
(if (!=.f64 (.f64 (pow.f64 x 2) 3/8) 0) (/.f64 (+.f64 (.f64 27/512 (pow.f64 (pow.f64 x 3) 2)) (pow.f64 x 3)) (+.f64 (pow.f64 x 2) (.f64 (.f64 3/8 (pow.f64 x 3)) (fma.f64 x 3/8 -1)))) (fma.f64 (*.f64 3/8 x) x x))
(if (!=.f64 (.f64 x (.f64 3/8 x)) 0) (/.f64 (fma.f64 27/512 (pow.f64 (pow.f64 x 3) 2) (pow.f64 x 3)) (+.f64 (pow.f64 x 2) (.f64 3/8 (.f64 (pow.f64 x 3) (fma.f64 x 3/8 -1))))) (fma.f64 (*.f64 3/8 x) x x))
(if (!=.f64 (.f64 x (fma.f64 x 3/8 -1)) 0) (/.f64 (-.f64 (.f64 9/64 (pow.f64 (pow.f64 x 2) 2)) (pow.f64 x 2)) (.f64 x (fma.f64 x 3/8 -1))) (fma.f64 (.f64 3/8 x) x x))
(if (!=.f64 (.f64 (pow.f64 x 2) 3/8) 0) (.f64 (+.f64 1 (/.f64 x (.f64 (pow.f64 x 2) 3/8))) (.f64 (pow.f64 x 2) 3/8)) (fma.f64 (*.f64 3/8 x) x x))
(if (!=.f64 (.f64 x (.f64 3/8 x)) 0) (.f64 (.f64 x (.f64 3/8 x)) (+.f64 1 (/.f64 x (.f64 x (.f64 3/8 x))))) (fma.f64 (.f64 3/8 x) x x))
(if (!=.f64 (+.f64 (pow.f64 x 2) (.f64 (.f64 3/8 (pow.f64 x 3)) (fma.f64 x 3/8 -1))) 0) (/.f64 (+.f64 (.f64 27/512 (pow.f64 (pow.f64 x 3) 2)) (pow.f64 x 3)) (+.f64 (pow.f64 x 2) (.f64 (.f64 3/8 (pow.f64 x 3)) (fma.f64 x 3/8 -1)))) (fma.f64 (.f64 3/8 x) x x))
(if (!=.f64 (+.f64 (pow.f64 x 2) (.f64 3/8 (.f64 (pow.f64 x 3) (fma.f64 x 3/8 -1)))) 0) (/.f64 (fma.f64 27/512 (pow.f64 (pow.f64 x 3) 2) (pow.f64 x 3)) (+.f64 (pow.f64 x 2) (.f64 3/8 (.f64 (pow.f64 x 3) (fma.f64 x 3/8 -1))))) (fma.f64 (*.f64 3/8 x) x x))
(if (!=.f64 x 0) (/.f64 (+.f64 (.f64 27/512 (pow.f64 (pow.f64 x 3) 2)) (pow.f64 x 3)) (+.f64 (pow.f64 x 2) (.f64 (.f64 3/8 (pow.f64 x 3)) (fma.f64 x 3/8 -1)))) (fma.f64 (.f64 3/8 x) x x))
(if (!=.f64 x 0) (/.f64 (fma.f64 27/512 (pow.f64 (pow.f64 x 3) 2) (pow.f64 x 3)) (+.f64 (pow.f64 x 2) (.f64 3/8 (.f64 (pow.f64 x 3) (fma.f64 x 3/8 -1))))) (fma.f64 (*.f64 3/8 x) x x))
(if (!=.f64 (.f64 x (neg.f64 (fma.f64 x 3/8 -1))) 0) (/.f64 (-.f64 (.f64 9/64 (pow.f64 (pow.f64 x 2) 2)) (pow.f64 x 2)) (.f64 x (fma.f64 x 3/8 -1))) (fma.f64 (.f64 3/8 x) x x))
(if (!=.f64 (-.f64 x (.f64 x (.f64 3/8 x))) 0) (/.f64 (-.f64 (.f64 9/64 (pow.f64 (pow.f64 x 2) 2)) (pow.f64 x 2)) (.f64 x (fma.f64 x 3/8 -1))) (fma.f64 (*.f64 3/8 x) x x))
(if (!=.f64 x 0) (.f64 x (/.f64 (fma.f64 (.f64 3/8 x) x x) x)) (fma.f64 (*.f64 3/8 x) x x))
(if (!=.f64 x 0) (/.f64 (.f64 x (fma.f64 (.f64 3/8 x) x x)) x) (fma.f64 (*.f64 3/8 x) x x))
(if (!=.f64 1 0) (fma.f64 (.f64 3/8 x) x x) (fma.f64 (.f64 3/8 x) x x))
(+.f64 (*.f64 (pow.f64 x 2) 3/8) x)
(fma.f64 (*.f64 3/8 x) x x)
(+.f64 x (*.f64 (pow.f64 x 2) 3/8))
(fma.f64 (*.f64 3/8 x) x x)
(+.f64 (.f64 (fma.f64 (.f64 3/8 x) x x) 1/2) (.f64 (fma.f64 (.f64 3/8 x) x x) 1/2))
(fma.f64 (*.f64 3/8 x) x x)
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/8 (pow.f64 x 2)) x))
(fma.f64 (*.f64 3/8 x) x x)
(+.f64 (.f64 (pow.f64 x 2) 1/2) (+.f64 (.f64 (pow.f64 x 2) -1/8) x))
(fma.f64 (*.f64 3/8 x) x x)
(+.f64 (+.f64 x (.f64 (pow.f64 x 2) 1/2)) (.f64 (pow.f64 x 2) -1/8))
(fma.f64 (*.f64 3/8 x) x x)
(+.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) (.f64 -1/8 (pow.f64 x 2)))
(fma.f64 (*.f64 3/8 x) x x)
(+.f64 (neg.f64 (neg.f64 x)) (*.f64 (pow.f64 x 2) 3/8))
(fma.f64 (*.f64 3/8 x) x x)
(+.f64 (*.f64 (pow.f64 x 2) 3/8) (neg.f64 (neg.f64 x)))
(fma.f64 (*.f64 3/8 x) x x)

eval532.0ms (0.7%)

Compiler: Compiled 33014 to 20531 computations (37.8% saved)

prune279.0ms (0.4%)

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	1228	2	1230
Fresh	0	0	0
Picked	1	0	1
Done	2	6	8
Total	1231	8	1239

Error

Counts

1239 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	61.9b	(*.f64 (sqrt.f64 1/2) x)
✓	42.8b	(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (-.f64 (exp.f64 x) 1)))
✓	0.0b	(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
✓	20.4b	(sqrt.f64 (-.f64 x -2))
✓	19.5b	(sqrt.f64 (+.f64 2 (.f64 (.f64 1/2 (+.f64 2 x)) x)))
▶	0.0b	(sqrt.f64 (+.f64 1 (exp.f64 x)))
▶	0.1b	(sqrt.f64 (*.f64 (neg.f64 (expm1.f64 x)) (/.f64 1 (/.f64 (expm1.f64 x) (-.f64 -1 (exp.f64 x))))))
✓	16.7b	(sqrt.f64 2)

Compiler

Compiled 65 to 50 computations (23.1% saved)

localize19.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (*.f64 (neg.f64 (expm1.f64 x)) (/.f64 1 (/.f64 (expm1.f64 x) (-.f64 -1 (exp.f64 x))))))
	0.0b	(-.f64 -1 (exp.f64 x))
✓	0.0b	(/.f64 (expm1.f64 x) (-.f64 -1 (exp.f64 x)))
✓	0.1b	(*.f64 (neg.f64 (expm1.f64 x)) (/.f64 1 (/.f64 (expm1.f64 x) (-.f64 -1 (exp.f64 x)))))

Compiler

Compiled 58 to 29 computations (50% saved)

series18.0ms (0%)

Counts

3 → 34

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(/.f64 (expm1.f64 x) (-.f64 -1 (exp.f64 x)))
1.0ms	x	@	inf	(/.f64 (expm1.f64 x) (-.f64 -1 (exp.f64 x)))
0.0ms	x	@	0	(/.f64 (expm1.f64 x) (-.f64 -1 (exp.f64 x)))
0.0ms	x	@	inf	(sqrt.f64 (*.f64 (neg.f64 (expm1.f64 x)) (/.f64 1 (/.f64 (expm1.f64 x) (-.f64 -1 (exp.f64 x))))))
0.0ms	x	@	-inf	(sqrt.f64 (*.f64 (neg.f64 (expm1.f64 x)) (/.f64 1 (/.f64 (expm1.f64 x) (-.f64 -1 (exp.f64 x))))))

Compiler

Compiled 1650 to 1225 computations (25.8% saved)

rewrite1.6s (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

218×	`egg-rr`
101×	`egg-rr`
32×	`egg-rr`

Counts

3 → 351

Calls

Call 1

Inputs

(*.f64 (neg.f64 (expm1.f64 x)) (/.f64 1 (/.f64 (expm1.f64 x) (-.f64 -1 (exp.f64 x)))))

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

(sqrt.f64 (*.f64 (neg.f64 (expm1.f64 x)) (/.f64 1 (/.f64 (expm1.f64 x) (-.f64 -1 (exp.f64 x))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 (*.f64 x 3))) (-.f64 (exp.f64 (+.f64 x (log1p.f64 (exp.f64 x)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (exp.f64 (log1p.f64 (exp.f64 x))) (expm1.f64 x))) (/.f64 (expm1.f64 x) (cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) (exp.f64 (log1p.f64 (exp.f64 x)))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cbrt.f64 (expm1.f64 x))) (*.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2)) (/.f64 (-.f64 -1 (exp.f64 x)) (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 x) (/.f64 (exp.f64 (log1p.f64 (exp.f64 x))) (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (exp.f64 (log1p.f64 (exp.f64 x))) (expm1.f64 x)) (expm1.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 0 (+.f64 (cbrt.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 2)) (*.f64 0 (cbrt.f64 (neg.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))))) (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 0 (-.f64 (cbrt.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 2)) (*.f64 0 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))) (+.f64 0 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 (cbrt.f64 (expm1.f64 x))) (expm1.f64 x)) (*.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2)) (-.f64 -1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 (expm1.f64 x) (expm1.f64 x))) (-.f64 -1 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (log1p.f64 (exp.f64 x))) (/.f64 (expm1.f64 x) (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (/.f64 -1 (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2)) (/.f64 (cbrt.f64 (expm1.f64 x)) (/.f64 (expm1.f64 x) (exp.f64 (log1p.f64 (exp.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2)) (-.f64 -1 (exp.f64 x))) (/.f64 (neg.f64 (cbrt.f64 (expm1.f64 x))) (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 -1 (exp.f64 x)) (neg.f64 (/.f64 (expm1.f64 x) (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (expm1.f64 x) (expm1.f64 x)) (exp.f64 (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 (/.f64 (expm1.f64 x) (expm1.f64 x))) -1) (exp.f64 (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (expm1.f64 x)) (neg.f64 (expm1.f64 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((#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (neg.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) (neg.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) -1) (*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) (neg.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2/3) (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2/3)) (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) (fabs.f64 (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) -1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (pow.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 0) (pow.f64 (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) -1) -1) (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))))))

simplify5.2s (6.9%)

Algorithm

1×

egglog

Counts

385 → 457

Calls

Call 1

Inputs
2
(+.f64 2 x)
(+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 2 (+.f64 (.f64 1/2 (pow.f64 x 2)) x)))
(+.f64 1 (exp.f64 x))
(+.f64 1 (exp.f64 x))
(+.f64 1 (exp.f64 x))
(+.f64 1 (exp.f64 x))
(+.f64 1 (exp.f64 x))
(+.f64 1 (exp.f64 x))
(+.f64 1 (exp.f64 x))
(+.f64 1 (exp.f64 x))
(*.f64 -1/2 x)
(+.f64 (.f64 -1/2 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 -1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 -1/240 (pow.f64 x 5))))
(+.f64 (.f64 -1/2 x) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 -1/240 (pow.f64 x 5)))))
(*.f64 -1 (/.f64 (-.f64 (exp.f64 x) 1) (+.f64 1 (exp.f64 x))))
(*.f64 -1 (/.f64 (-.f64 (exp.f64 x) 1) (+.f64 1 (exp.f64 x))))
(*.f64 -1 (/.f64 (-.f64 (exp.f64 x) 1) (+.f64 1 (exp.f64 x))))
(*.f64 -1 (/.f64 (-.f64 (exp.f64 x) 1) (+.f64 1 (exp.f64 x))))
(*.f64 -1 (/.f64 (-.f64 (exp.f64 x) 1) (+.f64 1 (exp.f64 x))))
(*.f64 -1 (/.f64 (-.f64 (exp.f64 x) 1) (+.f64 1 (exp.f64 x))))
(*.f64 -1 (/.f64 (-.f64 (exp.f64 x) 1) (+.f64 1 (exp.f64 x))))
(*.f64 -1 (/.f64 (-.f64 (exp.f64 x) 1) (+.f64 1 (exp.f64 x))))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 1/6 (.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))) (pow.f64 x 3)) (sqrt.f64 2))) (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (.f64 1/2 (/.f64 x (sqrt.f64 2))))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 (.f64 x 3))) (-.f64 (exp.f64 (+.f64 x (log1p.f64 (exp.f64 x)))) -1))
(*.f64 (cbrt.f64 (/.f64 (exp.f64 (log1p.f64 (exp.f64 x))) (expm1.f64 x))) (/.f64 (expm1.f64 x) (cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) (exp.f64 (log1p.f64 (exp.f64 x)))) 2))))
(.f64 (neg.f64 (cbrt.f64 (expm1.f64 x))) (.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2)) (/.f64 (-.f64 -1 (exp.f64 x)) (expm1.f64 x))))
(*.f64 (expm1.f64 x) (/.f64 (exp.f64 (log1p.f64 (exp.f64 x))) (expm1.f64 x)))
(*.f64 (/.f64 (exp.f64 (log1p.f64 (exp.f64 x))) (expm1.f64 x)) (expm1.f64 x))
(*.f64 -1 (neg.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(*.f64 (neg.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) -1)
(.f64 (+.f64 0 (+.f64 (cbrt.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 2)) (.f64 0 (cbrt.f64 (neg.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))))) (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(.f64 (+.f64 0 (-.f64 (cbrt.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 2)) (.f64 0 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))) (+.f64 0 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))
(.f64 (/.f64 (neg.f64 (cbrt.f64 (expm1.f64 x))) (expm1.f64 x)) (.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2)) (-.f64 -1 (exp.f64 x))))
(*.f64 (neg.f64 (/.f64 (expm1.f64 x) (expm1.f64 x))) (-.f64 -1 (exp.f64 x)))
(*.f64 (exp.f64 (log1p.f64 (exp.f64 x))) (/.f64 (expm1.f64 x) (expm1.f64 x)))
(*.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (/.f64 -1 (expm1.f64 x)))
(*.f64 1 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2)) (/.f64 (cbrt.f64 (expm1.f64 x)) (/.f64 (expm1.f64 x) (exp.f64 (log1p.f64 (exp.f64 x))))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2)) (-.f64 -1 (exp.f64 x))) (/.f64 (neg.f64 (cbrt.f64 (expm1.f64 x))) (expm1.f64 x)))
(*.f64 (-.f64 -1 (exp.f64 x)) (neg.f64 (/.f64 (expm1.f64 x) (expm1.f64 x))))
(*.f64 (/.f64 (expm1.f64 x) (expm1.f64 x)) (exp.f64 (log1p.f64 (exp.f64 x))))
(*.f64 (/.f64 (neg.f64 (/.f64 (expm1.f64 x) (expm1.f64 x))) -1) (exp.f64 (log1p.f64 (exp.f64 x))))
(*.f64 (/.f64 -1 (expm1.f64 x)) (neg.f64 (expm1.f64 (+.f64 x x))))
(*.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 1)
(*.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) (/.f64 (expm1.f64 x) (exp.f64 (log1p.f64 (exp.f64 x))))) (cbrt.f64 (pow.f64 (expm1.f64 x) 2)))
(*.f64 (/.f64 (expm1.f64 x) (cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) (exp.f64 (log1p.f64 (exp.f64 x)))) 2))) (cbrt.f64 (/.f64 (exp.f64 (log1p.f64 (exp.f64 x))) (expm1.f64 x))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2)) (/.f64 (-.f64 -1 (exp.f64 x)) (expm1.f64 x))) (neg.f64 (cbrt.f64 (expm1.f64 x))))
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (cbrt.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 2)))
(*.f64 (cbrt.f64 (/.f64 (-.f64 -1 (exp.f64 x)) (expm1.f64 x))) (/.f64 (neg.f64 (expm1.f64 x)) (cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) (exp.f64 (log1p.f64 (exp.f64 x)))) 2))))
(.f64 (cbrt.f64 (/.f64 (-.f64 -1 (exp.f64 x)) (expm1.f64 x))) (.f64 (neg.f64 (expm1.f64 x)) (cbrt.f64 (pow.f64 (/.f64 (exp.f64 (log1p.f64 (exp.f64 x))) (expm1.f64 x)) 2))))
(*.f64 (/.f64 (neg.f64 (expm1.f64 x)) (cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) (exp.f64 (log1p.f64 (exp.f64 x)))) 2))) (cbrt.f64 (/.f64 (-.f64 -1 (exp.f64 x)) (expm1.f64 x))))
(.f64 (.f64 (neg.f64 (expm1.f64 x)) (cbrt.f64 (pow.f64 (/.f64 (exp.f64 (log1p.f64 (exp.f64 x))) (expm1.f64 x)) 2))) (cbrt.f64 (/.f64 (-.f64 -1 (exp.f64 x)) (expm1.f64 x))))
(*.f64 (cbrt.f64 (neg.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) (neg.f64 (cbrt.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 2))))
(.f64 (.f64 (expm1.f64 x) (cbrt.f64 (/.f64 (-.f64 -1 (exp.f64 x)) (expm1.f64 x)))) (neg.f64 (cbrt.f64 (pow.f64 (/.f64 (exp.f64 (log1p.f64 (exp.f64 x))) (expm1.f64 x)) 2))))
(*.f64 (/.f64 (expm1.f64 x) (cbrt.f64 (/.f64 (expm1.f64 x) (exp.f64 (log1p.f64 (exp.f64 x)))))) (cbrt.f64 (pow.f64 (/.f64 (exp.f64 (log1p.f64 (exp.f64 x))) (expm1.f64 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 2)) (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(*.f64 (/.f64 (expm1.f64 x) (cbrt.f64 (/.f64 (expm1.f64 x) (exp.f64 (log1p.f64 (exp.f64 x)))))) (/.f64 1 (cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) (exp.f64 (log1p.f64 (exp.f64 x)))) 2))))
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (cbrt.f64 (/.f64 (pow.f64 (expm1.f64 x) 2) (pow.f64 (/.f64 (expm1.f64 x) (exp.f64 (log1p.f64 (exp.f64 x)))) 2))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (expm1.f64 x) 2) (pow.f64 (/.f64 (expm1.f64 x) (exp.f64 (log1p.f64 (exp.f64 x)))) 2))) (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) (exp.f64 (log1p.f64 (exp.f64 x)))) 2))) (/.f64 (expm1.f64 x) (cbrt.f64 (/.f64 (expm1.f64 x) (exp.f64 (log1p.f64 (exp.f64 x)))))))
(.f64 (cbrt.f64 (expm1.f64 x)) (.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2)) (/.f64 (exp.f64 (log1p.f64 (exp.f64 x))) (expm1.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (exp.f64 (log1p.f64 (exp.f64 x))) (expm1.f64 x)) 2)) (/.f64 (expm1.f64 x) (cbrt.f64 (/.f64 (expm1.f64 x) (exp.f64 (log1p.f64 (exp.f64 x)))))))
(*.f64 (expm1.f64 (+.f64 x x)) (/.f64 1 (expm1.f64 x)))
(*.f64 (/.f64 1 (expm1.f64 x)) (expm1.f64 (+.f64 x x)))
(*.f64 (neg.f64 (expm1.f64 x)) (/.f64 (-.f64 -1 (exp.f64 x)) (expm1.f64 x)))
(*.f64 (/.f64 (-.f64 -1 (exp.f64 x)) (expm1.f64 x)) (neg.f64 (expm1.f64 x)))
(-.f64 (/.f64 (pow.f64 (exp.f64 2) x) (expm1.f64 x)) (/.f64 1 (expm1.f64 x)))
(-.f64 (/.f64 (exp.f64 x) (/.f64 (expm1.f64 x) (exp.f64 (log1p.f64 (exp.f64 x))))) (/.f64 (exp.f64 (log1p.f64 (exp.f64 x))) (expm1.f64 x)))
(-.f64 (*.f64 (exp.f64 x) (/.f64 (expm1.f64 x) (expm1.f64 x))) (neg.f64 (/.f64 (expm1.f64 x) (expm1.f64 x))))
(-.f64 (*.f64 (/.f64 (exp.f64 (log1p.f64 (exp.f64 x))) (expm1.f64 x)) (exp.f64 x)) (/.f64 (exp.f64 (log1p.f64 (exp.f64 x))) (expm1.f64 x)))
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(if (!=.f64 (/.f64 (expm1.f64 x) (-.f64 -1 (exp.f64 x))) 0) (/.f64 (-.f64 (pow.f64 (/.f64 (expm1.f64 x) (-.f64 -1 (exp.f64 x))) 3) 0) (+.f64 (pow.f64 (/.f64 (expm1.f64 x) (exp.f64 (log1p.f64 (exp.f64 x)))) 2) (+.f64 0 (*.f64 (/.f64 (expm1.f64 x) (-.f64 -1 (exp.f64 x))) 0)))) (/.f64 (expm1.f64 x) (-.f64 -1 (exp.f64 x))))
(if (!=.f64 (/.f64 (exp.f64 x) (-.f64 -1 (exp.f64 x))) 0) (/.f64 (+.f64 (pow.f64 (/.f64 (exp.f64 x) (-.f64 -1 (exp.f64 x))) 3) (pow.f64 (exp.f64 (log1p.f64 (exp.f64 x))) -3)) (+.f64 (pow.f64 (/.f64 (exp.f64 x) (-.f64 -1 (exp.f64 x))) 2) (+.f64 (pow.f64 (exp.f64 (log1p.f64 (exp.f64 x))) -2) (*.f64 (/.f64 (exp.f64 x) (-.f64 -1 (exp.f64 x))) (neg.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 x))))))))) (/.f64 (expm1.f64 x) (-.f64 -1 (exp.f64 x))))
(if (!=.f64 (/.f64 (-.f64 -1 (exp.f64 x)) (exp.f64 (log1p.f64 (exp.f64 x)))) 0) (/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 x) (-.f64 -1 (exp.f64 x))) 2) (pow.f64 (exp.f64 (log1p.f64 (exp.f64 x))) -2)) (/.f64 (-.f64 -1 (exp.f64 x)) (exp.f64 (log1p.f64 (exp.f64 x))))) (/.f64 (expm1.f64 x) (-.f64 -1 (exp.f64 x))))
(if (!=.f64 (+.f64 0 (-.f64 (pow.f64 (/.f64 (expm1.f64 x) (exp.f64 (log1p.f64 (exp.f64 x)))) 2) 0)) 0) (/.f64 (pow.f64 (/.f64 (expm1.f64 x) (-.f64 -1 (exp.f64 x))) 3) (+.f64 0 (-.f64 (pow.f64 (/.f64 (expm1.f64 x) (exp.f64 (log1p.f64 (exp.f64 x)))) 2) 0))) (/.f64 (expm1.f64 x) (-.f64 -1 (exp.f64 x))))
(if (!=.f64 (+.f64 (pow.f64 (/.f64 (exp.f64 x) (-.f64 -1 (exp.f64 x))) 2) (+.f64 (pow.f64 (exp.f64 (log1p.f64 (exp.f64 x))) -2) (.f64 (/.f64 (exp.f64 x) (-.f64 -1 (exp.f64 x))) (neg.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 x)))))))) 0) (/.f64 (+.f64 (pow.f64 (/.f64 (exp.f64 x) (-.f64 -1 (exp.f64 x))) 3) (pow.f64 (exp.f64 (log1p.f64 (exp.f64 x))) -3)) (+.f64 (pow.f64 (/.f64 (exp.f64 x) (-.f64 -1 (exp.f64 x))) 2) (+.f64 (pow.f64 (exp.f64 (log1p.f64 (exp.f64 x))) -2) (.f64 (/.f64 (exp.f64 x) (-.f64 -1 (exp.f64 x))) (neg.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 x))))))))) (/.f64 (expm1.f64 x) (-.f64 -1 (exp.f64 x))))
(if (!=.f64 0 0) (/.f64 (pow.f64 (/.f64 (expm1.f64 x) (-.f64 -1 (exp.f64 x))) 3) (+.f64 0 (pow.f64 (/.f64 (expm1.f64 x) (exp.f64 (log1p.f64 (exp.f64 x)))) 2))) (/.f64 (expm1.f64 x) (-.f64 -1 (exp.f64 x))))
(if (!=.f64 0 0) (/.f64 (pow.f64 (/.f64 (expm1.f64 x) (-.f64 -1 (exp.f64 x))) 3) (+.f64 0 (-.f64 (pow.f64 (/.f64 (expm1.f64 x) (exp.f64 (log1p.f64 (exp.f64 x)))) 2) 0))) (/.f64 (expm1.f64 x) (-.f64 -1 (exp.f64 x))))
(if (!=.f64 0 0) (*.f64 0 (+.f64 1 (/.f64 (/.f64 (expm1.f64 x) (-.f64 -1 (exp.f64 x))) 0))) (/.f64 (expm1.f64 x) (-.f64 -1 (exp.f64 x))))
(if (!=.f64 0 0) (/.f64 (-.f64 (pow.f64 (/.f64 (expm1.f64 x) (-.f64 -1 (exp.f64 x))) 3) 0) (+.f64 (pow.f64 (/.f64 (expm1.f64 x) (exp.f64 (log1p.f64 (exp.f64 x)))) 2) (+.f64 0 (*.f64 (/.f64 (expm1.f64 x) (-.f64 -1 (exp.f64 x))) 0)))) (/.f64 (expm1.f64 x) (-.f64 -1 (exp.f64 x))))
(+.f64 (/.f64 (exp.f64 x) (-.f64 -1 (exp.f64 x))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 x)))))
(+.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 x)))) (/.f64 (exp.f64 x) (-.f64 -1 (exp.f64 x))))
(+.f64 (.f64 (neg.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 x))))) -1) (.f64 (neg.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 x))))) (exp.f64 x)))
(+.f64 (.f64 (neg.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 x))))) (exp.f64 x)) (.f64 (neg.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 x))))) -1))
(+.f64 (neg.f64 (exp.f64 (-.f64 x (log1p.f64 (exp.f64 x))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 x)))))
(+.f64 0 (/.f64 (expm1.f64 x) (-.f64 -1 (exp.f64 x))))
(+.f64 (/.f64 (expm1.f64 x) (-.f64 -1 (exp.f64 x))) 0)
(fabs.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(fabs.f64 (neg.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))))
(fabs.f64 (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) (neg.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))))
(*.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))
(.f64 (.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) -1) (*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) -1))
(*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) (neg.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2/3))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2/3) (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))
(*.f64 -1 (neg.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) -1)
(*.f64 (fabs.f64 (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2/3)) (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) (fabs.f64 (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2/3)))
(*.f64 1 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(*.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 1)
(-.f64 0 (neg.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))
(/.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 1)
(sqrt.f64 (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2))
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) 2)
(pow.f64 (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 3) 1/3)
(pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) 3)
(pow.f64 (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2) 1/2)
(pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 1/2)
(pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) 4)
(pow.f64 (*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) -1) 2)
(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 1)
(cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 3))
(neg.f64 (neg.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))
(neg.f64 (pow.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) 3))
(if (!=.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 0) (pow.f64 (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) -1) -1) (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))

Outputs
2
(+.f64 2 x)
(+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 2 (fma.f64 1/2 (*.f64 x x) x))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 2 (+.f64 (.f64 1/2 (pow.f64 x 2)) x)))
(fma.f64 1/6 (pow.f64 x 3) (+.f64 2 (fma.f64 1/2 (*.f64 x x) x)))
(+.f64 1 (exp.f64 x))
(exp.f64 (log1p.f64 (exp.f64 x)))
(+.f64 1 (exp.f64 x))
(exp.f64 (log1p.f64 (exp.f64 x)))
(+.f64 1 (exp.f64 x))
(exp.f64 (log1p.f64 (exp.f64 x)))
(+.f64 1 (exp.f64 x))
(exp.f64 (log1p.f64 (exp.f64 x)))
(+.f64 1 (exp.f64 x))
(exp.f64 (log1p.f64 (exp.f64 x)))
(+.f64 1 (exp.f64 x))
(exp.f64 (log1p.f64 (exp.f64 x)))
(+.f64 1 (exp.f64 x))
(exp.f64 (log1p.f64 (exp.f64 x)))
(+.f64 1 (exp.f64 x))
(exp.f64 (log1p.f64 (exp.f64 x)))
(*.f64 -1/2 x)
(+.f64 (.f64 -1/2 x) (.f64 1/24 (pow.f64 x 3)))
(fma.f64 -1/2 x (*.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 -1/2 x) (+.f64 (.f64 1/24 (pow.f64 x 3)) (*.f64 -1/240 (pow.f64 x 5))))
(fma.f64 -1/2 x (fma.f64 1/24 (pow.f64 x 3) (*.f64 -1/240 (pow.f64 x 5))))
(+.f64 (.f64 -1/2 x) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (+.f64 (.f64 1/24 (pow.f64 x 3)) (.f64 -1/240 (pow.f64 x 5)))))
(fma.f64 -1/2 x (fma.f64 17/40320 (pow.f64 x 7) (fma.f64 1/24 (pow.f64 x 3) (*.f64 -1/240 (pow.f64 x 5)))))
(*.f64 -1 (/.f64 (-.f64 (exp.f64 x) 1) (+.f64 1 (exp.f64 x))))
(/.f64 (expm1.f64 x) (-.f64 -1 (exp.f64 x)))
(*.f64 -1 (/.f64 (-.f64 (exp.f64 x) 1) (+.f64 1 (exp.f64 x))))
(/.f64 (expm1.f64 x) (-.f64 -1 (exp.f64 x)))
(*.f64 -1 (/.f64 (-.f64 (exp.f64 x) 1) (+.f64 1 (exp.f64 x))))
(/.f64 (expm1.f64 x) (-.f64 -1 (exp.f64 x)))
(*.f64 -1 (/.f64 (-.f64 (exp.f64 x) 1) (+.f64 1 (exp.f64 x))))
(/.f64 (expm1.f64 x) (-.f64 -1 (exp.f64 x)))
(*.f64 -1 (/.f64 (-.f64 (exp.f64 x) 1) (+.f64 1 (exp.f64 x))))
(/.f64 (expm1.f64 x) (-.f64 -1 (exp.f64 x)))
(*.f64 -1 (/.f64 (-.f64 (exp.f64 x) 1) (+.f64 1 (exp.f64 x))))
(/.f64 (expm1.f64 x) (-.f64 -1 (exp.f64 x)))
(*.f64 -1 (/.f64 (-.f64 (exp.f64 x) 1) (+.f64 1 (exp.f64 x))))
(/.f64 (expm1.f64 x) (-.f64 -1 (exp.f64 x)))
(*.f64 -1 (/.f64 (-.f64 (exp.f64 x) 1) (+.f64 1 (exp.f64 x))))
(/.f64 (expm1.f64 x) (-.f64 -1 (exp.f64 x)))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (.f64 1/2 (.f64 (sqrt.f64 1/2) (+.f64 (.f64 (-.f64 1/2 1/8) (.f64 x x)) x))))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 1/6 (.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))) (pow.f64 x 3)) (sqrt.f64 2))) (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (.f64 1/2 (/.f64 x (sqrt.f64 2))))))
(+.f64 (sqrt.f64 2) (.f64 1/2 (+.f64 (.f64 (.f64 (+.f64 1/6 (.f64 -1/2 (.f64 (-.f64 1/2 1/8) 1/2))) (pow.f64 x 3)) (sqrt.f64 1/2)) (.f64 (sqrt.f64 1/2) (+.f64 (.f64 (-.f64 1/2 1/8) (.f64 x x)) x)))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))
(.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 (.f64 x 3))) (-.f64 (exp.f64 (+.f64 x (log1p.f64 (exp.f64 x)))) -1))
(/.f64 (.f64 (expm1.f64 (+.f64 x x)) (+.f64 (exp.f64 (+.f64 x (log1p.f64 (exp.f64 x)))) 1)) (expm1.f64 (.f64 x 3)))
(*.f64 (cbrt.f64 (/.f64 (exp.f64 (log1p.f64 (exp.f64 x))) (expm1.f64 x))) (/.f64 (expm1.f64 x) (cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) (exp.f64 (log1p.f64 (exp.f64 x)))) 2))))
(/.f64 (*.f64 (expm1.f64 x) (cbrt.f64 (/.f64 (exp.f64 (log1p.f64 (exp.f64 x))) (expm1.f64 x)))) (cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) (exp.f64 (log1p.f64 (exp.f64 x)))) 2)))
(.f64 (neg.f64 (cbrt.f64 (expm1.f64 x))) (.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2)) (/.f64 (-.f64 -1 (exp.f64 x)) (expm1.f64 x))))
(.f64 (neg.f64 (cbrt.f64 (expm1.f64 x))) (/.f64 (.f64 (-.f64 -1 (exp.f64 x)) (cbrt.f64 (pow.f64 (expm1.f64 x) 2))) (expm1.f64 x)))
(*.f64 (expm1.f64 x) (/.f64 (exp.f64 (log1p.f64 (exp.f64 x))) (expm1.f64 x)))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(*.f64 (/.f64 (exp.f64 (log1p.f64 (exp.f64 x))) (expm1.f64 x)) (expm1.f64 x))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(*.f64 -1 (neg.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(*.f64 (neg.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) -1)
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(.f64 (+.f64 0 (+.f64 (cbrt.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 2)) (.f64 0 (cbrt.f64 (neg.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))))) (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(.f64 (+.f64 0 (-.f64 (cbrt.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 2)) (.f64 0 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))) (+.f64 0 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(.f64 (/.f64 (neg.f64 (cbrt.f64 (expm1.f64 x))) (expm1.f64 x)) (.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2)) (-.f64 -1 (exp.f64 x))))
(.f64 (.f64 (neg.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) (expm1.f64 x))) (cbrt.f64 (pow.f64 (expm1.f64 x) 2))) (-.f64 -1 (exp.f64 x)))
(*.f64 (neg.f64 (/.f64 (expm1.f64 x) (expm1.f64 x))) (-.f64 -1 (exp.f64 x)))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(*.f64 (exp.f64 (log1p.f64 (exp.f64 x))) (/.f64 (expm1.f64 x) (expm1.f64 x)))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(*.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (/.f64 -1 (expm1.f64 x)))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
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(/.f64 (expm1.f64 x) (-.f64 -1 (exp.f64 x)))
(+.f64 (/.f64 (expm1.f64 x) (-.f64 -1 (exp.f64 x))) 0)
(/.f64 (expm1.f64 x) (-.f64 -1 (exp.f64 x)))
(fabs.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(fabs.f64 (neg.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))))
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(fabs.f64 (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) (neg.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))))
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(*.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(.f64 (.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) -1) (*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) -1))
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) (neg.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))))
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2/3))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2/3) (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2/3))
(*.f64 -1 (neg.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) -1)
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(*.f64 (fabs.f64 (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2/3)) (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) (fabs.f64 (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2/3)))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) (fabs.f64 (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2/3)))
(*.f64 1 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(*.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 1)
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(-.f64 0 (neg.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(/.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 1)
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(sqrt.f64 (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2))
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) 2)
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(pow.f64 (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 3) 1/3)
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) 2)
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) 3)
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(pow.f64 (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2) 1/2)
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 1/2)
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) 4)
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(pow.f64 (*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) -1) 2)
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 1)
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 3))
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(neg.f64 (neg.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(neg.f64 (pow.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) 3))
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(if (!=.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 0) (pow.f64 (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) -1) -1) (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(if (!=.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 0) (/.f64 1 (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) -1)) (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))

localize6.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (+.f64 1 (exp.f64 x)))
✓	0.0b	(+.f64 1 (exp.f64 x))

Compiler

Compiled 14 to 8 computations (42.9% saved)

series6.0ms (0%)

Counts

2 → 6

Calls

6 calls:

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

Compiler

Compiled 610 to 550 computations (9.8% saved)

rewrite1.5s (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

200×	`egg-rr`
95×	`egg-rr`

Counts

2 → 295

Calls

Call 1

Inputs
(+.f64 1 (exp.f64 x))
(sqrt.f64 (+.f64 1 (exp.f64 x)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (exp.f64 (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (-.f64 -1 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (hypot.f64 (sqrt.f64 (exp.f64 x)) (exp.f64 x)) (sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x)))) (hypot.f64 (sqrt.f64 (exp.f64 x)) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (exp.f64 x) -1/2) (+.f64 1 (/.f64 1/2 (-.f64 (exp.f64 x) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 x)) (*.f64 (sqrt.f64 (exp.f64 x)) (-.f64 (exp.f64 (neg.f64 x)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 x)) (fabs.f64 (*.f64 (sqrt.f64 (exp.f64 x)) (-.f64 (exp.f64 (neg.f64 x)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 3) x)))) (/.f64 (pow.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 3) x))) 2/3) (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 -1 (pow.f64 (exp.f64 3) x)) (/.f64 1 (-.f64 (expm1.f64 x) (pow.f64 (exp.f64 2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 x)) (*.f64 (pow.f64 (exp.f64 x) 2/3) (-.f64 (exp.f64 (neg.f64 x)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 x)) (fabs.f64 (*.f64 (pow.f64 (exp.f64 x) 2/3) (-.f64 (exp.f64 (neg.f64 x)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))) (exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 3) x))) (pow.f64 (fma.f64 (exp.f64 x) 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1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (*.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (exp.f64 (neg.f64 x)) -1) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1) (/.f64 (exp.f64 (log1p.f64 (exp.f64 x))) (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1) (cbrt.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1))) (/.f64 (exp.f64 (log1p.f64 (exp.f64 x))) (cbrt.f64 (pow.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1) -1)) (/.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 3) x))) (cbrt.f64 (pow.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (exp.f64 x) 2/3) (neg.f64 (expm1.f64 (*.f64 x 1/3)))) (+.f64 1 (cbrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/8)) (*.f64 (exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/8)) (exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 3/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x)))))) (*.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))) (exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 3/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))) (*.f64 (cbrt.f64 (exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 2/3))) (exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))) (exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 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(log1p.f64 (exp.f64 x)))))) (*.f64 (sqrt.f64 (*.f64 1/4 (exp.f64 (log1p.f64 (exp.f64 x))))) (sqrt.f64 (*.f64 1/4 (exp.f64 (log1p.f64 (exp.f64 x))))))))) (sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 (*.f64 (sqrt.f64 (*.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 1/4)) (sqrt.f64 (*.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 1/4))) (-.f64 (*.f64 (sqrt.f64 (*.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 1/4)) (sqrt.f64 (*.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 1/4))) (*.f64 (sqrt.f64 (*.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 1/4)) (sqrt.f64 (*.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 1/4))))) 0) (/.f64 (+.f64 (pow.f64 (sqrt.f64 (*.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 1/4)) 3) (pow.f64 (sqrt.f64 (*.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 1/4)) 3)) (+.f64 (*.f64 (sqrt.f64 (*.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 1/4)) (sqrt.f64 (*.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 1/4))) (-.f64 (*.f64 (sqrt.f64 (*.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 1/4)) (sqrt.f64 (*.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 1/4))) (*.f64 (sqrt.f64 (*.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 1/4)) (sqrt.f64 (*.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 1/4)))))) (sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (*.f64 1/4 (exp.f64 (log1p.f64 (exp.f64 x))))) (sqrt.f64 (*.f64 1/4 (exp.f64 (log1p.f64 (exp.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (*.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 1/4)) (sqrt.f64 (*.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log1p.f64 (exp.f64 x))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log1p.f64 (exp.f64 x)) 3/2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log1p.f64 (exp.f64 x))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (*.f64 3/2 (log1p.f64 (exp.f64 x)))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))) 1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 1/2 (log1p.f64 (exp.f64 x)))))))))

simplify5.1s (6.8%)

Algorithm

1×

egglog

Counts

301 → 386

Calls

Call 1

Inputs
2
(+.f64 2 x)
(+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 2 (+.f64 (.f64 1/2 (pow.f64 x 2)) x)))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 1/6 (.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))) (pow.f64 x 3)) (sqrt.f64 2))) (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (.f64 1/2 (/.f64 x (sqrt.f64 2))))))
(fabs.f64 (exp.f64 (log1p.f64 (exp.f64 x))))
(fabs.f64 (-.f64 -1 (exp.f64 x)))
(hypot.f64 (hypot.f64 (sqrt.f64 (exp.f64 x)) (exp.f64 x)) (sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x)))))
(hypot.f64 (sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x)))) (hypot.f64 (sqrt.f64 (exp.f64 x)) (exp.f64 x)))
(*.f64 (-.f64 (exp.f64 x) -1/2) (+.f64 1 (/.f64 1/2 (-.f64 (exp.f64 x) -1/2))))
(*.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 1)
(*.f64 (exp.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 0))
(.f64 (sqrt.f64 (exp.f64 x)) (.f64 (sqrt.f64 (exp.f64 x)) (-.f64 (exp.f64 (neg.f64 x)) -1)))
(.f64 (sqrt.f64 (exp.f64 x)) (fabs.f64 (.f64 (sqrt.f64 (exp.f64 x)) (-.f64 (exp.f64 (neg.f64 x)) -1))))
(*.f64 (cbrt.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 3) x)))) (/.f64 (pow.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 3) x))) 2/3) (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(*.f64 (-.f64 -1 (pow.f64 (exp.f64 3) x)) (/.f64 1 (-.f64 (expm1.f64 x) (pow.f64 (exp.f64 2) x))))
(.f64 (cbrt.f64 (exp.f64 x)) (.f64 (pow.f64 (exp.f64 x) 2/3) (-.f64 (exp.f64 (neg.f64 x)) -1)))
(.f64 (cbrt.f64 (exp.f64 x)) (fabs.f64 (.f64 (pow.f64 (exp.f64 x) 2/3) (-.f64 (exp.f64 (neg.f64 x)) -1))))
(.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))) (exp.f64 (.f64 (log1p.f64 (exp.f64 x)) 3/4)))
(*.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 3) x))) (pow.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1) -1))
(.f64 2 (.f64 1/2 (exp.f64 (log1p.f64 (exp.f64 x)))))
(.f64 2 (.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 1/2))
(.f64 2 (fabs.f64 (.f64 1/2 (exp.f64 (log1p.f64 (exp.f64 x))))))
(*.f64 1/2 (+.f64 1 (/.f64 (-.f64 (exp.f64 x) -1/2) 1/2)))
(*.f64 1 (exp.f64 (log1p.f64 (exp.f64 x))))
(*.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) -1))
(.f64 (exp.f64 (.f64 (log1p.f64 (exp.f64 x)) 3/4)) (sqrt.f64 (sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))))
(*.f64 (pow.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1) -1) (exp.f64 (log1p.f64 (pow.f64 (exp.f64 3) x))))
(.f64 (.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 2) 1/2)
(.f64 (fabs.f64 (.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 2)) 1/2)
(*.f64 (sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x)))))
(*.f64 (-.f64 (exp.f64 (neg.f64 x)) -1) (exp.f64 x))
(*.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1) (/.f64 (exp.f64 (log1p.f64 (exp.f64 x))) (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(*.f64 (/.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1) (cbrt.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1))) (/.f64 (exp.f64 (log1p.f64 (exp.f64 x))) (cbrt.f64 (pow.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1) 2))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1) -1)) (/.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 3) x))) (cbrt.f64 (pow.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1) 2))))
(.f64 (+.f64 (pow.f64 (exp.f64 x) 2/3) (neg.f64 (expm1.f64 (.f64 x 1/3)))) (+.f64 1 (cbrt.f64 (exp.f64 x))))
(.f64 (exp.f64 (.f64 (log1p.f64 (exp.f64 x)) 1/8)) (.f64 (exp.f64 (.f64 (log1p.f64 (exp.f64 x)) 1/8)) (exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 3/4))))
(.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x)))))) (.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))) (exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 3/4))))
(.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))) (.f64 (cbrt.f64 (exp.f64 (.f64 (log1p.f64 (exp.f64 x)) 2/3))) (exp.f64 (.f64 (log1p.f64 (exp.f64 x)) 2/3))))
(.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))) (exp.f64 (.f64 (log1p.f64 (exp.f64 x)) 5/6)))
(.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x)))))) (.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))) (exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 5/6))))
(.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x)))))) (.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x)))))) (exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 5/6))))
(.f64 (cbrt.f64 (exp.f64 (.f64 (log1p.f64 (exp.f64 x)) 2/3))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (log1p.f64 (exp.f64 x)))) 4)) (cbrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))))
(.f64 (.f64 (exp.f64 (.f64 (log1p.f64 (exp.f64 x)) 3/4)) (exp.f64 (.f64 (log1p.f64 (exp.f64 x)) 1/8))) (exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/8)))
(.f64 (.f64 (exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 3/4)) (cbrt.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))))) (cbrt.f64 (sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))))
(.f64 (.f64 (exp.f64 (.f64 (log1p.f64 (exp.f64 x)) 2/3)) (cbrt.f64 (cbrt.f64 (exp.f64 (log1p.f64 (exp.f64 x)))))) (cbrt.f64 (exp.f64 (.f64 (log1p.f64 (exp.f64 x)) 2/3))))
(.f64 (exp.f64 (.f64 (log1p.f64 (exp.f64 x)) 5/6)) (cbrt.f64 (sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))))
(.f64 (.f64 (cbrt.f64 (exp.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 2/3)))) (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (log1p.f64 (exp.f64 x)))) 4)))
(.f64 (cbrt.f64 (exp.f64 (log1p.f64 (exp.f64 x)))) (exp.f64 (.f64 (log1p.f64 (exp.f64 x)) 2/3)))
(.f64 (exp.f64 (.f64 (log1p.f64 (exp.f64 x)) 2/3)) (cbrt.f64 (exp.f64 (log1p.f64 (exp.f64 x)))))
(*.f64 (-.f64 (+.f64 1 (pow.f64 (exp.f64 x) 2/3)) (cbrt.f64 (exp.f64 x))) (+.f64 1 (cbrt.f64 (exp.f64 x))))
(*.f64 (fabs.f64 (-.f64 (exp.f64 (neg.f64 x)) -1)) (exp.f64 x))
(.f64 (fabs.f64 (.f64 (cbrt.f64 (exp.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 2/3))))) (fabs.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (log1p.f64 (exp.f64 x)))) 4))))
(.f64 (fabs.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))))) (fabs.f64 (.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))) (exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 5/6)))))
(*.f64 (exp.f64 x) (fabs.f64 (-.f64 (exp.f64 (neg.f64 x)) -1)))
(.f64 (exp.f64 (.f64 (log1p.f64 (exp.f64 x)) 1/8)) (fabs.f64 (.f64 (exp.f64 (.f64 (log1p.f64 (exp.f64 x)) 1/8)) (exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 3/4)))))
(.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))) (fabs.f64 (exp.f64 (.f64 (log1p.f64 (exp.f64 x)) 5/6))))
(*.f64 (fabs.f64 (cbrt.f64 (pow.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1) -1))) (fabs.f64 (/.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 3) x))) (cbrt.f64 (pow.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1) 2)))))
(.f64 (fabs.f64 (exp.f64 (.f64 (log1p.f64 (exp.f64 x)) 2/3))) (cbrt.f64 (exp.f64 (log1p.f64 (exp.f64 x)))))
(*.f64 (fabs.f64 (cbrt.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 3) x))))) (fabs.f64 (/.f64 (pow.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 3) x))) 2/3) (fma.f64 (exp.f64 x) (expm1.f64 x) 1))))
(*.f64 (fabs.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)) (fabs.f64 (/.f64 (exp.f64 (log1p.f64 (exp.f64 x))) (fma.f64 (exp.f64 x) (expm1.f64 x) 1))))
(.f64 (cbrt.f64 (exp.f64 (log1p.f64 (exp.f64 x)))) (fabs.f64 (exp.f64 (.f64 (log1p.f64 (exp.f64 x)) 2/3))))
(.f64 (fabs.f64 (.f64 (exp.f64 (.f64 (log1p.f64 (exp.f64 x)) 3/4)) (exp.f64 (.f64 (log1p.f64 (exp.f64 x)) 1/8)))) (exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/8)))
(.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x)))))) (fabs.f64 (.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x)))))) (exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 5/6)))))
(*.f64 (fabs.f64 (pow.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1) -1)) (fabs.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 3) x)))))
(.f64 (fabs.f64 (pow.f64 (exp.f64 x) 2/3)) (fabs.f64 (.f64 (cbrt.f64 (exp.f64 x)) (-.f64 (exp.f64 (neg.f64 x)) -1))))
(*.f64 (fabs.f64 (/.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1) (cbrt.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))) (fabs.f64 (/.f64 (exp.f64 (log1p.f64 (exp.f64 x))) (cbrt.f64 (pow.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1) 2)))))
(.f64 (fabs.f64 (cbrt.f64 (exp.f64 (.f64 (log1p.f64 (exp.f64 x)) 2/3)))) (fabs.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (log1p.f64 (exp.f64 x)))) 4)) (cbrt.f64 (exp.f64 (log1p.f64 (exp.f64 x)))))))
(*.f64 (fabs.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 3) x)))) (fabs.f64 (pow.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1) -1)))
(*.f64 (fabs.f64 (-.f64 (+.f64 1 (pow.f64 (exp.f64 x) 2/3)) (cbrt.f64 (exp.f64 x)))) (fabs.f64 (+.f64 1 (cbrt.f64 (exp.f64 x)))))
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(if (!=.f64 (sqrt.f64 (.f64 1/4 (exp.f64 (log1p.f64 (exp.f64 x))))) 0) (.f64 (sqrt.f64 (.f64 1/4 (exp.f64 (log1p.f64 (exp.f64 x))))) (+.f64 1 (/.f64 (sqrt.f64 (.f64 1/4 (exp.f64 (log1p.f64 (exp.f64 x))))) (sqrt.f64 (*.f64 1/4 (exp.f64 (log1p.f64 (exp.f64 x)))))))) (sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x)))))
(if (!=.f64 (sqrt.f64 (.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 1/4)) 0) (.f64 (sqrt.f64 (.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 1/4)) (+.f64 1 (/.f64 (sqrt.f64 (.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 1/4)) (sqrt.f64 (*.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 1/4))))) (sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x)))))
(if (!=.f64 (+.f64 (.f64 (sqrt.f64 (.f64 1/4 (exp.f64 (log1p.f64 (exp.f64 x))))) (sqrt.f64 (.f64 1/4 (exp.f64 (log1p.f64 (exp.f64 x)))))) (-.f64 (.f64 (sqrt.f64 (.f64 1/4 (exp.f64 (log1p.f64 (exp.f64 x))))) (sqrt.f64 (.f64 1/4 (exp.f64 (log1p.f64 (exp.f64 x)))))) (.f64 (sqrt.f64 (.f64 1/4 (exp.f64 (log1p.f64 (exp.f64 x))))) (sqrt.f64 (.f64 1/4 (exp.f64 (log1p.f64 (exp.f64 x)))))))) 0) (/.f64 (+.f64 (pow.f64 (sqrt.f64 (.f64 1/4 (exp.f64 (log1p.f64 (exp.f64 x))))) 3) (pow.f64 (sqrt.f64 (.f64 1/4 (exp.f64 (log1p.f64 (exp.f64 x))))) 3)) (+.f64 (.f64 (sqrt.f64 (.f64 1/4 (exp.f64 (log1p.f64 (exp.f64 x))))) (sqrt.f64 (.f64 1/4 (exp.f64 (log1p.f64 (exp.f64 x)))))) (-.f64 (.f64 (sqrt.f64 (.f64 1/4 (exp.f64 (log1p.f64 (exp.f64 x))))) (sqrt.f64 (.f64 1/4 (exp.f64 (log1p.f64 (exp.f64 x)))))) (.f64 (sqrt.f64 (.f64 1/4 (exp.f64 (log1p.f64 (exp.f64 x))))) (sqrt.f64 (.f64 1/4 (exp.f64 (log1p.f64 (exp.f64 x))))))))) (sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x)))))
(if (!=.f64 (+.f64 (.f64 (sqrt.f64 (.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 1/4)) (sqrt.f64 (.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 1/4))) (-.f64 (.f64 (sqrt.f64 (.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 1/4)) (sqrt.f64 (.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 1/4))) (.f64 (sqrt.f64 (.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 1/4)) (sqrt.f64 (.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 1/4))))) 0) (/.f64 (+.f64 (pow.f64 (sqrt.f64 (.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 1/4)) 3) (pow.f64 (sqrt.f64 (.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 1/4)) 3)) (+.f64 (.f64 (sqrt.f64 (.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 1/4)) (sqrt.f64 (.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 1/4))) (-.f64 (.f64 (sqrt.f64 (.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 1/4)) (sqrt.f64 (.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 1/4))) (.f64 (sqrt.f64 (.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 1/4)) (sqrt.f64 (.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 1/4)))))) (sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x)))))
(+.f64 (sqrt.f64 (.f64 1/4 (exp.f64 (log1p.f64 (exp.f64 x))))) (sqrt.f64 (.f64 1/4 (exp.f64 (log1p.f64 (exp.f64 x))))))
(+.f64 (sqrt.f64 (.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 1/4)) (sqrt.f64 (.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 1/4)))
(exp.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))))
(exp.f64 (.f64 (.f64 2 (log1p.f64 (exp.f64 x))) 1/4))
(exp.f64 (.f64 (.f64 (log1p.f64 (exp.f64 x)) 3/2) 1/3))
(exp.f64 (.f64 (.f64 3 (log1p.f64 (exp.f64 x))) 1/6))
(exp.f64 (.f64 (.f64 2 (*.f64 3/2 (log1p.f64 (exp.f64 x)))) 1/6))
(exp.f64 (.f64 (.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))) 1/3) 3))
(exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 1/2 (log1p.f64 (exp.f64 x)))))

Outputs
2
(+.f64 2 x)
(+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 2 (fma.f64 1/2 (pow.f64 x 2) x))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 2 (+.f64 (.f64 1/2 (pow.f64 x 2)) x)))
(fma.f64 1/6 (pow.f64 x 3) (+.f64 2 (fma.f64 1/2 (pow.f64 x 2) x)))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (.f64 1/2 (.f64 (sqrt.f64 1/2) (+.f64 (*.f64 (+.f64 1/2 -1/8) (pow.f64 x 2)) x))))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 1/6 (.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))) (pow.f64 x 3)) (sqrt.f64 2))) (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (.f64 1/2 (/.f64 x (sqrt.f64 2))))))
(+.f64 (sqrt.f64 2) (.f64 1/2 (+.f64 (.f64 (sqrt.f64 1/2) (+.f64 (.f64 (+.f64 1/2 -1/8) (pow.f64 x 2)) x)) (.f64 (.f64 (-.f64 1/6 (.f64 (*.f64 1/2 (+.f64 1/2 -1/8)) 1/2)) (pow.f64 x 3)) (sqrt.f64 1/2)))))
(fabs.f64 (exp.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (log1p.f64 (exp.f64 x)))
(fabs.f64 (-.f64 -1 (exp.f64 x)))
(exp.f64 (log1p.f64 (exp.f64 x)))
(hypot.f64 (hypot.f64 (sqrt.f64 (exp.f64 x)) (exp.f64 x)) (sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x)))))
(hypot.f64 (sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x)))) (hypot.f64 (sqrt.f64 (exp.f64 x)) (exp.f64 x)))
(hypot.f64 (hypot.f64 (sqrt.f64 (exp.f64 x)) (exp.f64 x)) (sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x)))))
(*.f64 (-.f64 (exp.f64 x) -1/2) (+.f64 1 (/.f64 1/2 (-.f64 (exp.f64 x) -1/2))))
(exp.f64 (log1p.f64 (exp.f64 x)))
(*.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 1)
(exp.f64 (log1p.f64 (exp.f64 x)))
(*.f64 (exp.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 0))
(exp.f64 (log1p.f64 (exp.f64 x)))
(.f64 (sqrt.f64 (exp.f64 x)) (.f64 (sqrt.f64 (exp.f64 x)) (-.f64 (exp.f64 (neg.f64 x)) -1)))
(exp.f64 (log1p.f64 (exp.f64 x)))
(.f64 (sqrt.f64 (exp.f64 x)) (fabs.f64 (.f64 (sqrt.f64 (exp.f64 x)) (-.f64 (exp.f64 (neg.f64 x)) -1))))
(.f64 (sqrt.f64 (exp.f64 x)) (fabs.f64 (.f64 (sqrt.f64 (exp.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) 1))))
(*.f64 (cbrt.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 3) x)))) (/.f64 (pow.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 3) x))) 2/3) (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(/.f64 (cbrt.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 3) x)))) (/.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1) (exp.f64 (*.f64 (log1p.f64 (pow.f64 (exp.f64 3) x)) 2/3))))
(*.f64 (-.f64 -1 (pow.f64 (exp.f64 3) x)) (/.f64 1 (-.f64 (expm1.f64 x) (pow.f64 (exp.f64 2) x))))
(exp.f64 (log1p.f64 (exp.f64 x)))
(.f64 (cbrt.f64 (exp.f64 x)) (.f64 (pow.f64 (exp.f64 x) 2/3) (-.f64 (exp.f64 (neg.f64 x)) -1)))
(.f64 (cbrt.f64 (exp.f64 x)) (.f64 (exp.f64 (*.f64 x 2/3)) (+.f64 (exp.f64 (neg.f64 x)) 1)))
(.f64 (cbrt.f64 (exp.f64 x)) (fabs.f64 (.f64 (pow.f64 (exp.f64 x) 2/3) (-.f64 (exp.f64 (neg.f64 x)) -1))))
(.f64 (cbrt.f64 (exp.f64 x)) (fabs.f64 (.f64 (exp.f64 (*.f64 x 2/3)) (+.f64 (exp.f64 (neg.f64 x)) 1))))
(.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))) (exp.f64 (.f64 (log1p.f64 (exp.f64 x)) 3/4)))
(*.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))) (pow.f64 (exp.f64 3/4) (log1p.f64 (exp.f64 x))))
(*.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 3) x))) (pow.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1) -1))
(exp.f64 (log1p.f64 (exp.f64 x)))
(.f64 2 (.f64 1/2 (exp.f64 (log1p.f64 (exp.f64 x)))))
(exp.f64 (log1p.f64 (exp.f64 x)))
(.f64 2 (.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 1/2))
(exp.f64 (log1p.f64 (exp.f64 x)))
(.f64 2 (fabs.f64 (.f64 1/2 (exp.f64 (log1p.f64 (exp.f64 x))))))
(exp.f64 (log1p.f64 (exp.f64 x)))
(*.f64 1/2 (+.f64 1 (/.f64 (-.f64 (exp.f64 x) -1/2) 1/2)))
(exp.f64 (log1p.f64 (exp.f64 x)))
(*.f64 1 (exp.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (log1p.f64 (exp.f64 x)))
(*.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) -1))
(exp.f64 (log1p.f64 (exp.f64 x)))
(.f64 (exp.f64 (.f64 (log1p.f64 (exp.f64 x)) 3/4)) (sqrt.f64 (sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))))
(*.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))) (pow.f64 (exp.f64 3/4) (log1p.f64 (exp.f64 x))))
(*.f64 (pow.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1) -1) (exp.f64 (log1p.f64 (pow.f64 (exp.f64 3) x))))
(exp.f64 (log1p.f64 (exp.f64 x)))
(.f64 (.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 2) 1/2)
(exp.f64 (log1p.f64 (exp.f64 x)))
(.f64 (fabs.f64 (.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 2)) 1/2)
(exp.f64 (log1p.f64 (exp.f64 x)))
(*.f64 (sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x)))))
(exp.f64 (log1p.f64 (exp.f64 x)))
(*.f64 (-.f64 (exp.f64 (neg.f64 x)) -1) (exp.f64 x))
(exp.f64 (log1p.f64 (exp.f64 x)))
(*.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1) (/.f64 (exp.f64 (log1p.f64 (exp.f64 x))) (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(exp.f64 (log1p.f64 (exp.f64 x)))
(*.f64 (/.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1) (cbrt.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1))) (/.f64 (exp.f64 (log1p.f64 (exp.f64 x))) (cbrt.f64 (pow.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1) 2))))
(exp.f64 (log1p.f64 (exp.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1) -1)) (/.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 3) x))) (cbrt.f64 (pow.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1) 2))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1) -1)) (exp.f64 (log1p.f64 (pow.f64 (exp.f64 3) x)))) (cbrt.f64 (pow.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1) 2)))
(.f64 (+.f64 (pow.f64 (exp.f64 x) 2/3) (neg.f64 (expm1.f64 (.f64 x 1/3)))) (+.f64 1 (cbrt.f64 (exp.f64 x))))
(.f64 (-.f64 (exp.f64 (.f64 x 2/3)) (expm1.f64 (*.f64 1/3 x))) (-.f64 (cbrt.f64 (exp.f64 x)) -1))
(.f64 (exp.f64 (.f64 (log1p.f64 (exp.f64 x)) 1/8)) (.f64 (exp.f64 (.f64 (log1p.f64 (exp.f64 x)) 1/8)) (exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 3/4))))
(exp.f64 (+.f64 (.f64 (log1p.f64 (exp.f64 x)) (+.f64 3/4 1/8)) (.f64 1/8 (log1p.f64 (exp.f64 x)))))
(.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x)))))) (.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))) (exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 3/4))))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))) (sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x)))))) (pow.f64 (exp.f64 3/4) (log1p.f64 (exp.f64 x))))
(.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))) (.f64 (cbrt.f64 (exp.f64 (.f64 (log1p.f64 (exp.f64 x)) 2/3))) (exp.f64 (.f64 (log1p.f64 (exp.f64 x)) 2/3))))
(.f64 (cbrt.f64 (.f64 (cbrt.f64 (exp.f64 (log1p.f64 (exp.f64 x)))) (pow.f64 (exp.f64 2/3) (log1p.f64 (exp.f64 x))))) (pow.f64 (exp.f64 2/3) (log1p.f64 (exp.f64 x))))
(.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))) (exp.f64 (.f64 (log1p.f64 (exp.f64 x)) 5/6)))
(*.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))) (pow.f64 (exp.f64 5/6) (log1p.f64 (exp.f64 x))))
(.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x)))))) (.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))) (exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 5/6))))
(*.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))) (pow.f64 (exp.f64 5/6) (log1p.f64 (exp.f64 x))))
(.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x)))))) (.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x)))))) (exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 5/6))))
(*.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))) (pow.f64 (exp.f64 5/6) (log1p.f64 (exp.f64 x))))
(.f64 (cbrt.f64 (exp.f64 (.f64 (log1p.f64 (exp.f64 x)) 2/3))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (log1p.f64 (exp.f64 x)))) 4)) (cbrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))))
(cbrt.f64 (.f64 (pow.f64 (exp.f64 2/3) (log1p.f64 (exp.f64 x))) (.f64 (pow.f64 (cbrt.f64 (exp.f64 (log1p.f64 (exp.f64 x)))) 4) (exp.f64 (log1p.f64 (exp.f64 x))))))
(.f64 (.f64 (exp.f64 (.f64 (log1p.f64 (exp.f64 x)) 3/4)) (exp.f64 (.f64 (log1p.f64 (exp.f64 x)) 1/8))) (exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/8)))
(exp.f64 (+.f64 (.f64 (log1p.f64 (exp.f64 x)) (+.f64 3/4 1/8)) (.f64 1/8 (log1p.f64 (exp.f64 x)))))
(.f64 (.f64 (exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 3/4)) (cbrt.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))))) (cbrt.f64 (sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))))
(.f64 (pow.f64 (exp.f64 3/4) (log1p.f64 (exp.f64 x))) (cbrt.f64 (.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))) (sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x)))))))
(.f64 (.f64 (exp.f64 (.f64 (log1p.f64 (exp.f64 x)) 2/3)) (cbrt.f64 (cbrt.f64 (exp.f64 (log1p.f64 (exp.f64 x)))))) (cbrt.f64 (exp.f64 (.f64 (log1p.f64 (exp.f64 x)) 2/3))))
(.f64 (pow.f64 (exp.f64 2/3) (log1p.f64 (exp.f64 x))) (cbrt.f64 (.f64 (cbrt.f64 (exp.f64 (log1p.f64 (exp.f64 x)))) (pow.f64 (exp.f64 2/3) (log1p.f64 (exp.f64 x))))))
(.f64 (exp.f64 (.f64 (log1p.f64 (exp.f64 x)) 5/6)) (cbrt.f64 (sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))))
(*.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))) (pow.f64 (exp.f64 5/6) (log1p.f64 (exp.f64 x))))
(.f64 (.f64 (cbrt.f64 (exp.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 2/3)))) (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (log1p.f64 (exp.f64 x)))) 4)))
(cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (exp.f64 (log1p.f64 (exp.f64 x)))) 4) (exp.f64 (+.f64 (log1p.f64 (exp.f64 x)) (.f64 (log1p.f64 (exp.f64 x)) 2/3)))))
(.f64 (cbrt.f64 (exp.f64 (log1p.f64 (exp.f64 x)))) (exp.f64 (.f64 (log1p.f64 (exp.f64 x)) 2/3)))
(*.f64 (cbrt.f64 (exp.f64 (log1p.f64 (exp.f64 x)))) (pow.f64 (exp.f64 2/3) (log1p.f64 (exp.f64 x))))
(.f64 (exp.f64 (.f64 (log1p.f64 (exp.f64 x)) 2/3)) (cbrt.f64 (exp.f64 (log1p.f64 (exp.f64 x)))))
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(/.f64 (fabs.f64 (*.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))) (cbrt.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 3) x)))))) (fabs.f64 (cbrt.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1))))
(/.f64 (fabs.f64 (cbrt.f64 (*.f64 (sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x)))) (exp.f64 (log1p.f64 (pow.f64 (exp.f64 3) x)))))) (fabs.f64 (cbrt.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1))))
(/.f64 (fabs.f64 (*.f64 (cbrt.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 3) x)))) (cbrt.f64 (sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))))) (fabs.f64 (cbrt.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1))))
(/.f64 (fabs.f64 (cbrt.f64 (*.f64 (sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x)))) (exp.f64 (log1p.f64 (pow.f64 (exp.f64 3) x)))))) (fabs.f64 (cbrt.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1))))
(/.f64 1 (sqrt.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 x))))))
(sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))
(/.f64 (sqrt.f64 (-.f64 (exp.f64 (neg.f64 x)) -1)) (sqrt.f64 (exp.f64 (neg.f64 x))))
(/.f64 (hypot.f64 (sqrt.f64 (exp.f64 (neg.f64 x))) -1) (sqrt.f64 (exp.f64 (neg.f64 x))))
(/.f64 (exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 3/2)) (exp.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (-.f64 (*.f64 3/2 (log1p.f64 (exp.f64 x))) (log1p.f64 (exp.f64 x))))
(/.f64 (exp.f64 (.f64 2 (log1p.f64 (exp.f64 x)))) (exp.f64 (.f64 (log1p.f64 (exp.f64 x)) 3/2)))
(sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))
(/.f64 (cbrt.f64 (*.f64 (-.f64 -1 (pow.f64 (exp.f64 3) x)) (sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x)))))) (cbrt.f64 (-.f64 (expm1.f64 x) (pow.f64 (exp.f64 2) x))))
(cbrt.f64 (/.f64 (*.f64 (sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x)))) (exp.f64 (log1p.f64 (pow.f64 (exp.f64 3) x)))) (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(/.f64 (cbrt.f64 (*.f64 (sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x)))) (-.f64 -1 (pow.f64 (exp.f64 3) x)))) (cbrt.f64 (-.f64 (expm1.f64 x) (pow.f64 (exp.f64 2) x))))
(cbrt.f64 (/.f64 (*.f64 (sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x)))) (exp.f64 (log1p.f64 (pow.f64 (exp.f64 3) x)))) (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(/.f64 (cbrt.f64 (*.f64 (sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x)))) (exp.f64 (log1p.f64 (pow.f64 (exp.f64 3) x))))) (cbrt.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(cbrt.f64 (/.f64 (*.f64 (sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x)))) (exp.f64 (log1p.f64 (pow.f64 (exp.f64 3) x)))) (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(/.f64 (cbrt.f64 (*.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 3) x))) (sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x)))))) (cbrt.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(cbrt.f64 (/.f64 (*.f64 (sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x)))) (exp.f64 (log1p.f64 (pow.f64 (exp.f64 3) x)))) (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(/.f64 1 (/.f64 (sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x)))) (exp.f64 (log1p.f64 (exp.f64 x)))))
(sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))
(/.f64 (exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 3/4)) (sqrt.f64 (sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))))
(/.f64 (pow.f64 (exp.f64 3/4) (log1p.f64 (exp.f64 x))) (sqrt.f64 (sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))))
(/.f64 (sqrt.f64 (*.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 4)) 2)
(sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))
(sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))
(pow.f64 (pow.f64 (exp.f64 3) (log1p.f64 (exp.f64 x))) 1/6)
(exp.f64 (.f64 (.f64 (log1p.f64 (exp.f64 x)) 3) 1/6))
(pow.f64 (sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x)))) 1)
(sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))
(pow.f64 (exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 3/4)) 2/3)
(exp.f64 (.f64 (.f64 (log1p.f64 (exp.f64 x)) 3/4) 2/3))
(pow.f64 (cbrt.f64 (exp.f64 (log1p.f64 (exp.f64 x)))) 3/2)
(pow.f64 (exp.f64 (*.f64 2 (log1p.f64 (exp.f64 x)))) 1/4)
(sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))
(pow.f64 (sqrt.f64 (E.f64)) (log1p.f64 (exp.f64 x)))
(sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))
(pow.f64 (exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) (sqrt.f64 1/2))) (sqrt.f64 1/2))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) (log1p.f64 (exp.f64 x))) (sqrt.f64 1/2))
(pow.f64 (exp.f64 (cbrt.f64 (.f64 1/2 (log1p.f64 (exp.f64 x))))) (pow.f64 (cbrt.f64 (.f64 1/2 (log1p.f64 (exp.f64 x)))) 2))
(sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))
(pow.f64 (exp.f64 2) (*.f64 1/4 (log1p.f64 (exp.f64 x))))
(sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))
(pow.f64 (E.f64) (*.f64 1/2 (log1p.f64 (exp.f64 x))))
(sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))
(pow.f64 (exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) (cbrt.f64 1/2))) (cbrt.f64 1/4))
(exp.f64 (.f64 (.f64 (log1p.f64 (exp.f64 x)) (cbrt.f64 1/2)) (cbrt.f64 1/4)))
(pow.f64 (exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 3/2)) 1/3)
(sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))
(pow.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))) 2)
(sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))
(pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))) 3)
(sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))
(pow.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 1/2)
(sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))
(pow.f64 (exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/8)) 4)
(pow.f64 (pow.f64 (exp.f64 1/8) (log1p.f64 (exp.f64 x))) 4)
(cbrt.f64 (exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 3/2)))
(sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))
(neg.f64 (/.f64 (-.f64 -1 (exp.f64 x)) (sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))))
(sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))
(neg.f64 (.f64 (sqrt.f64 (.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 4)) -1/2))
(sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))
(neg.f64 (*.f64 (sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x)))) -1))
(sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))
(if (!=.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))) 0) (sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x)))))
(if (!=.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 0) (sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x)))))
(if (!=.f64 (sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x)))) 0) (sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x)))))
(if (!=.f64 (sqrt.f64 (.f64 1/4 (exp.f64 (log1p.f64 (exp.f64 x))))) 0) (/.f64 (+.f64 (pow.f64 (sqrt.f64 (.f64 1/4 (exp.f64 (log1p.f64 (exp.f64 x))))) 3) (pow.f64 (sqrt.f64 (.f64 1/4 (exp.f64 (log1p.f64 (exp.f64 x))))) 3)) (+.f64 (.f64 (sqrt.f64 (.f64 1/4 (exp.f64 (log1p.f64 (exp.f64 x))))) (sqrt.f64 (.f64 1/4 (exp.f64 (log1p.f64 (exp.f64 x)))))) (-.f64 (.f64 (sqrt.f64 (.f64 1/4 (exp.f64 (log1p.f64 (exp.f64 x))))) (sqrt.f64 (.f64 1/4 (exp.f64 (log1p.f64 (exp.f64 x)))))) (.f64 (sqrt.f64 (.f64 1/4 (exp.f64 (log1p.f64 (exp.f64 x))))) (sqrt.f64 (.f64 1/4 (exp.f64 (log1p.f64 (exp.f64 x))))))))) (sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x)))))
(if (!=.f64 (.f64 1/2 (sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))) 0) (/.f64 (.f64 2 (.f64 1/8 (pow.f64 (exp.f64 3/2) (log1p.f64 (exp.f64 x))))) (.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 1/4)) (sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x)))))
(if (!=.f64 (sqrt.f64 (.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 1/4)) 0) (/.f64 (+.f64 (pow.f64 (sqrt.f64 (.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 1/4)) 3) (pow.f64 (sqrt.f64 (.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 1/4)) 3)) (+.f64 (.f64 (sqrt.f64 (.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 1/4)) (sqrt.f64 (.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 1/4))) (-.f64 (.f64 (sqrt.f64 (.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 1/4)) (sqrt.f64 (.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 1/4))) (.f64 (sqrt.f64 (.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 1/4)) (sqrt.f64 (.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 1/4)))))) (sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x)))))
(if (!=.f64 (.f64 1/2 (sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))) 0) (/.f64 (.f64 2 (.f64 1/8 (pow.f64 (exp.f64 3/2) (log1p.f64 (exp.f64 x))))) (.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 1/4)) (sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x)))))
(if (!=.f64 (-.f64 (sqrt.f64 (.f64 1/4 (exp.f64 (log1p.f64 (exp.f64 x))))) (sqrt.f64 (.f64 1/4 (exp.f64 (log1p.f64 (exp.f64 x)))))) 0) (/.f64 (-.f64 (.f64 (sqrt.f64 (.f64 1/4 (exp.f64 (log1p.f64 (exp.f64 x))))) (sqrt.f64 (.f64 1/4 (exp.f64 (log1p.f64 (exp.f64 x)))))) (.f64 (sqrt.f64 (.f64 1/4 (exp.f64 (log1p.f64 (exp.f64 x))))) (sqrt.f64 (.f64 1/4 (exp.f64 (log1p.f64 (exp.f64 x))))))) (-.f64 (sqrt.f64 (.f64 1/4 (exp.f64 (log1p.f64 (exp.f64 x))))) (sqrt.f64 (.f64 1/4 (exp.f64 (log1p.f64 (exp.f64 x))))))) (sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x)))))
(if (!=.f64 0 0) 0 (sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x)))))
(if (!=.f64 (-.f64 (sqrt.f64 (.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 1/4)) (sqrt.f64 (.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 1/4))) 0) (/.f64 (-.f64 (.f64 (sqrt.f64 (.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 1/4)) (sqrt.f64 (.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 1/4))) (.f64 (sqrt.f64 (.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 1/4)) (sqrt.f64 (.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 1/4)))) (-.f64 (sqrt.f64 (.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 1/4)) (sqrt.f64 (.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 1/4)))) (sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x)))))
(if (!=.f64 0 0) 0 (sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x)))))
(if (!=.f64 (sqrt.f64 (.f64 1/4 (exp.f64 (log1p.f64 (exp.f64 x))))) 0) (.f64 (sqrt.f64 (.f64 1/4 (exp.f64 (log1p.f64 (exp.f64 x))))) (+.f64 1 (/.f64 (sqrt.f64 (.f64 1/4 (exp.f64 (log1p.f64 (exp.f64 x))))) (sqrt.f64 (*.f64 1/4 (exp.f64 (log1p.f64 (exp.f64 x)))))))) (sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x)))))
(if (!=.f64 (*.f64 1/2 (sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))) 0) (sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x)))))
(if (!=.f64 (sqrt.f64 (.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 1/4)) 0) (.f64 (sqrt.f64 (.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 1/4)) (+.f64 1 (/.f64 (sqrt.f64 (.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 1/4)) (sqrt.f64 (*.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 1/4))))) (sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x)))))
(if (!=.f64 (*.f64 1/2 (sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))) 0) (sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x)))))
(if (!=.f64 (+.f64 (.f64 (sqrt.f64 (.f64 1/4 (exp.f64 (log1p.f64 (exp.f64 x))))) (sqrt.f64 (.f64 1/4 (exp.f64 (log1p.f64 (exp.f64 x)))))) (-.f64 (.f64 (sqrt.f64 (.f64 1/4 (exp.f64 (log1p.f64 (exp.f64 x))))) (sqrt.f64 (.f64 1/4 (exp.f64 (log1p.f64 (exp.f64 x)))))) (.f64 (sqrt.f64 (.f64 1/4 (exp.f64 (log1p.f64 (exp.f64 x))))) (sqrt.f64 (.f64 1/4 (exp.f64 (log1p.f64 (exp.f64 x)))))))) 0) (/.f64 (+.f64 (pow.f64 (sqrt.f64 (.f64 1/4 (exp.f64 (log1p.f64 (exp.f64 x))))) 3) (pow.f64 (sqrt.f64 (.f64 1/4 (exp.f64 (log1p.f64 (exp.f64 x))))) 3)) (+.f64 (.f64 (sqrt.f64 (.f64 1/4 (exp.f64 (log1p.f64 (exp.f64 x))))) (sqrt.f64 (.f64 1/4 (exp.f64 (log1p.f64 (exp.f64 x)))))) (-.f64 (.f64 (sqrt.f64 (.f64 1/4 (exp.f64 (log1p.f64 (exp.f64 x))))) (sqrt.f64 (.f64 1/4 (exp.f64 (log1p.f64 (exp.f64 x)))))) (.f64 (sqrt.f64 (.f64 1/4 (exp.f64 (log1p.f64 (exp.f64 x))))) (sqrt.f64 (.f64 1/4 (exp.f64 (log1p.f64 (exp.f64 x))))))))) (sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x)))))
(if (!=.f64 (.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 1/4) 0) (/.f64 (.f64 2 (.f64 1/8 (pow.f64 (exp.f64 3/2) (log1p.f64 (exp.f64 x))))) (.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 1/4)) (sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x)))))
(if (!=.f64 (+.f64 (.f64 (sqrt.f64 (.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 1/4)) (sqrt.f64 (.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 1/4))) (-.f64 (.f64 (sqrt.f64 (.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 1/4)) (sqrt.f64 (.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 1/4))) (.f64 (sqrt.f64 (.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 1/4)) (sqrt.f64 (.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 1/4))))) 0) (/.f64 (+.f64 (pow.f64 (sqrt.f64 (.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 1/4)) 3) (pow.f64 (sqrt.f64 (.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 1/4)) 3)) (+.f64 (.f64 (sqrt.f64 (.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 1/4)) (sqrt.f64 (.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 1/4))) (-.f64 (.f64 (sqrt.f64 (.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 1/4)) (sqrt.f64 (.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 1/4))) (.f64 (sqrt.f64 (.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 1/4)) (sqrt.f64 (.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 1/4)))))) (sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x)))))
(if (!=.f64 (.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 1/4) 0) (/.f64 (.f64 2 (.f64 1/8 (pow.f64 (exp.f64 3/2) (log1p.f64 (exp.f64 x))))) (.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 1/4)) (sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x)))))
(+.f64 (sqrt.f64 (.f64 1/4 (exp.f64 (log1p.f64 (exp.f64 x))))) (sqrt.f64 (.f64 1/4 (exp.f64 (log1p.f64 (exp.f64 x))))))
(sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))
(+.f64 (sqrt.f64 (.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 1/4)) (sqrt.f64 (.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 1/4)))
(sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))))
(sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (.f64 (.f64 2 (log1p.f64 (exp.f64 x))) 1/4))
(sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (.f64 (.f64 (log1p.f64 (exp.f64 x)) 3/2) 1/3))
(sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (.f64 (.f64 3 (log1p.f64 (exp.f64 x))) 1/6))
(exp.f64 (.f64 (.f64 (log1p.f64 (exp.f64 x)) 3) 1/6))
(exp.f64 (.f64 (.f64 2 (*.f64 3/2 (log1p.f64 (exp.f64 x)))) 1/6))
(exp.f64 (.f64 (.f64 (log1p.f64 (exp.f64 x)) 3) 1/6))
(exp.f64 (.f64 (.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))) 1/3) 3))
(sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 1/2 (log1p.f64 (exp.f64 x)))))
(sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))

eval292.0ms (0.4%)

Compiler: Compiled 27306 to 10905 computations (60.1% saved)

prune196.0ms (0.3%)

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	938	3	941
Fresh	0	0	0
Picked	0	1	1
Done	3	4	7
Total	941	8	949

Error

Counts

949 → 8

Alt Table

Click to see full alt table

Status	Error	Program
	0.0b	(hypot.f64 (sqrt.f64 (exp.f64 x)) 1)
✓	61.9b	(*.f64 (sqrt.f64 1/2) x)
	0.0b	(sqrt.f64 (-.f64 (+.f64 (exp.f64 x) 4) 3))
✓	20.4b	(sqrt.f64 (-.f64 x -2))
✓	19.5b	(sqrt.f64 (+.f64 2 (.f64 (.f64 1/2 (+.f64 2 x)) x)))
✓	0.0b	(sqrt.f64 (+.f64 1 (exp.f64 x)))
✓	16.7b	(sqrt.f64 2)
	0.7b	(exp.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))))

Compiler

Compiled 51 to 43 computations (15.7% saved)

regimes17.0ms (0%)

Counts

16 → 1

Calls

Call 1

Inputs
(sqrt.f64 2)
(sqrt.f64 (-.f64 x -2))
(*.f64 (sqrt.f64 1/2) x)
(sqrt.f64 (+.f64 2 (.f64 (.f64 1/2 (+.f64 2 x)) x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (-.f64 (+.f64 (exp.f64 x) 4) 3))
(sqrt.f64 (+.f64 2 (fma.f64 1/2 (*.f64 x x) x)))
(+.f64 (sqrt.f64 2) (.f64 1/2 (/.f64 (+.f64 (.f64 (-.f64 1/2 1/8) (*.f64 x x)) x) (sqrt.f64 2))))
(hypot.f64 (sqrt.f64 (exp.f64 x)) 1)
(exp.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))))
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (*.f64 (neg.f64 (expm1.f64 x)) (/.f64 1 (/.f64 (expm1.f64 x) (-.f64 -1 (exp.f64 x))))))
(sqrt.f64 (/.f64 (*.f64 (-.f64 -1 (exp.f64 x)) (neg.f64 (expm1.f64 x))) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (if (!=.f64 (expm1.f64 (+.f64 x x)) 0) (/.f64 1 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))) (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))

Outputs
(sqrt.f64 (+.f64 1 (exp.f64 x)))

Calls

3 calls:

8.0ms	x
3.0ms	(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
3.0ms	(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))

Results

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

Compiler

Compiled 179 to 114 computations (36.3% saved)

regimes5.0ms (0%)

Accuracy

Total -45.5b remaining (-273.2%)

Threshold costs -45.5b (-273.2%)

Counts

4 → 1

Calls

Call 1

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

Outputs
(sqrt.f64 2)

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
16.7b	1	`x`

Compiler

Compiled 23 to 18 computations (21.7% saved)

simplify1.0ms (0%)

Stop Event

1×

fuel

Compiler

Compiled 9 to 8 computations (11.1% saved)

soundness0.0ms (0%)

end14.0ms (0%)

Compiler: Compiled 8 to 7 computations (12.5% saved)

Details

analyze172.0ms (0.2%)

sample1.9s (2.5%)

preprocess2.9s (3.8%)

simplify1.5s (2%)

eval1.0ms (0%)

prune1.0ms (0%)

localize8.0ms (0%)

series16.0ms (0%)

rewrite1.5s (2%)

simplify3.0s (4%)

localize18.0ms (0%)

series11.0ms (0%)

rewrite1.7s (2.2%)

simplify6.9s (9.2%)

eval471.0ms (0.6%)

prune188.0ms (0.2%)

localize16.0ms (0%)

series18.0ms (0%)

rewrite1.5s (2%)

simplify3.7s (4.9%)

localize2.0ms (0%)

localize5.0ms (0%)

series20.0ms (0%)

rewrite1.4s (1.9%)

simplify1.9s (2.6%)

localize14.0ms (0%)

series20.0ms (0%)

rewrite1.5s (2%)

simplify3.3s (4.4%)

localize12.0ms (0%)

series13.0ms (0%)

rewrite1.5s (2%)

simplify3.2s (4.2%)

eval520.0ms (0.7%)

prune247.0ms (0.3%)

localize15.0ms (0%)

series17.0ms (0%)

rewrite1.5s (2%)

simplify2.5s (3.3%)

localize30.0ms (0%)

series13.0ms (0%)

rewrite1.6s (2.1%)

simplify5.2s (6.9%)

localize17.0ms (0%)

series1.0ms (0%)

rewrite1.5s (1.9%)

simplify2.4s (3.1%)

localize25.0ms (0%)

series27.0ms (0%)

rewrite1.6s (2.1%)

simplify4.9s (6.5%)

eval532.0ms (0.7%)

prune279.0ms (0.4%)

localize19.0ms (0%)

series18.0ms (0%)

rewrite1.6s (2.1%)

simplify5.2s (6.9%)

localize6.0ms (0%)

series6.0ms (0%)

rewrite1.5s (2.1%)

simplify5.1s (6.8%)

eval292.0ms (0.4%)

prune196.0ms (0.3%)

regimes17.0ms (0%)

regimes5.0ms (0%)

simplify1.0ms (0%)

soundness0.0ms (0%)

end14.0ms (0%)

Profiling