Details

analyze4.0ms (0.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
50%	50%	50%	0%	0%	0%	0%	3
75%	75%	25%	0%	0%	0%	0%	4
87.5%	87.5%	12.5%	0%	0%	0%	0%	5
93.8%	93.7%	6.2%	0%	0%	0%	0%	6
96.9%	96.8%	3.1%	0%	0%	0%	0%	7
98.4%	98.4%	1.6%	0%	0%	0%	0%	8
99.2%	99.2%	0.8%	0%	0%	0%	0%	9
99.6%	99.6%	0.4%	0%	0%	0%	0%	10
99.8%	99.8%	0.2%	0%	0%	0%	0%	11
99.9%	99.9%	0.1%	0%	0%	0%	0%	12

Compiler

Compiled 13 to 11 computations (15.4% saved)

sample1.5s (26.1%)

Results

948.0ms	5739×	body	256	valid
394.0ms	2077×	body	512	valid
93.0ms	440×	body	1024	valid

Bogosity

preprocess319.0ms (5.5%)

Algorithm

2×	egg-herbie

Rules

80×	`fma-def`
44×	`associate--r+`
36×	`associate-+l-`
34×	`+-commutative`
24×	`associate--l+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	31
1	18	31
2	23	31
3	32	31
4	42	31
5	60	31
6	111	31
7	149	31
8	193	31
9	233	31
10	257	31
11	259	31
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 13 to 11 computations (15.4% saved)

simplify22.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

80×	`fma-def`
44×	`associate--r+`
36×	`associate-+l-`
34×	`+-commutative`
24×	`associate--l+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	31
1	18	31
2	23	31
3	32	31
4	42	31
5	60	31
6	111	31
7	149	31
8	193	31
9	233	31
10	257	31
11	259	31

Stop Event

1×

saturated

Counts

1 → 3

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 34 to 28 computations (17.6% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

14.5b

Counts

4 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	14.5b	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))

Compiler

Compiled 12 to 10 computations (16.7% saved)

localize14.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (+.f64 x 1))
✓	3.4b	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))

Compiler

Compiled 30 to 23 computations (23.3% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite149.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1418×	`associate-/r*`
1102×	`associate-/r/`
976×	`*-commutative`
778×	`distribute-lft-in`
734×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	44
1	212	44
2	3095	40

Stop Event

1×	node limit

Counts

2 → 192

Calls

Call 1

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

Outputs
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Outputs

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simplify442.0ms (7.6%)

Algorithm

1×	egg-herbie

Rules

698×	`fma-def`
694×	`associate-+r-`
680×	`distribute-lft-in`
662×	`*-commutative`
606×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	559	11554
1	1742	10938
2	7663	10914

Stop Event

1×	node limit

Counts

216 → 379

Calls

Call 1

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

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

eval172.0ms (3%)

Compiler: Compiled 9388 to 7072 computations (24.7% saved)

prune57.0ms (1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	372	7	379
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	372	8	380

Error

0.1b

Counts

380 → 8

Alt Table

Click to see full alt table

Status	Error	Program
▶	14.0b	(/.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (-.f64 -1 x)) (-.f64 1 x))
	14.0b	(/.f64 (-.f64 (+.f64 2 x) x) (*.f64 (+.f64 x 1) (-.f64 1 x)))
▶	30.3b	(/.f64 -2 (*.f64 x x))
✓	14.5b	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
▶	33.4b	(-.f64 (-.f64 1 x) (/.f64 1 (-.f64 x 1)))
▶	33.9b	(-.f64 (+.f64 (-.f64 1 x) (*.f64 x x)) (/.f64 1 (-.f64 x 1)))
▶	33.7b	(-.f64 1 (/.f64 1 (-.f64 x 1)))
	33.4b	2

Compiler

Compiled 146 to 110 computations (24.7% saved)

localize17.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 x (-.f64 -2 x)) (-.f64 -1 x))
✓	0.0b	(/.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (-.f64 -1 x)) (-.f64 1 x))
✓	2.9b	(+.f64 x (-.f64 -2 x))

Compiler

Compiled 41 to 28 computations (31.7% saved)

series1.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite87.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1558×	`associate-/l/`
1412×	`distribute-lft-in`
310×	`+-commutative`
292×	`add-sqr-sqrt`
282×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	75
1	284	75
2	4152	75

Stop Event

1×	node limit

Counts

3 → 151

Calls

Call 1

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

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

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

simplify89.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1128×	`associate-+r+`
956×	`associate-+l+`
856×	`+-commutative`
540×	`associate-l`
534×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	442	5053
1	1350	4649
2	5324	4649

Stop Event

1×	node limit

Counts

187 → 249

Calls

Call 1

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

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

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 -2 (*.f64 x x))

Compiler

Compiled 11 to 5 computations (54.5% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite54.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1200×	`add-sqr-sqrt`
1176×	`*-un-lft-identity`
1120×	`pow1`
1102×	`add-cube-cbrt`
1094×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	128	13
2	1565	13

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

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

simplify41.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1438×	`distribute-lft-in`
1402×	`associate-/r*`
966×	`associate-+r+`
942×	`associate-+l+`
878×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	485
1	134	485
2	448	485
3	2622	485

Stop Event

1×	node limit

Counts

33 → 24

Calls

Call 1

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

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

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 18 to 14 computations (22.2% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite54.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1672×	`add-sqr-sqrt`
1650×	`*-un-lft-identity`
1548×	`add-cube-cbrt`
1536×	`add-cbrt-cube`
160×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	158	19
2	2126	19

Stop Event

1×	node limit

Counts

1 → 30

Calls

Call 1

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

Outputs

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

simplify57.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1174×	`fma-def`
856×	`associate-/l*`
780×	`associate-r`
684×	`times-frac`
672×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	96	1228
1	238	1154
2	808	1144
3	3079	1144

Stop Event

1×	node limit

Counts

42 → 58

Calls

Call 1

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

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

localize11.0ms (0.2%)

Compiler: Compiled 23 to 17 computations (26.1% saved)

localize16.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 37 to 22 computations (40.5% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite101.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1502×	`distribute-lft-in`
954×	`associate-/r*`
750×	`associate-/r/`
536×	`associate-/l*`
490×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	56
1	242	48
2	3763	48

Stop Event

1×	node limit

Counts

2 → 217

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (-.f64 x (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 1 x) (*.f64 -1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 1 x) (*.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 1 x) (*.f64 (neg.f64 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 1 x) (neg.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 x x (-.f64 1 x)) (fma.f64 (neg.f64 (*.f64 x x)) 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 x x (-.f64 1 x)) (fma.f64 (neg.f64 x) x (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 x x (-.f64 1 x)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (+.f64 x -1) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x x (-.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (-.f64 1 x))) (-.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x x))) (-.f64 1 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (+.f64 1 x)) (-.f64 (/.f64 x (/.f64 (+.f64 1 x) x)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (+.f64 1 (fma.f64 x x x))) (-.f64 (/.f64 (pow.f64 x 3) (+.f64 1 (fma.f64 x x x))) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (-.f64 1 x) 2) (-.f64 1 (fma.f64 x x x))) (/.f64 (pow.f64 x 4) (-.f64 1 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 x x) 0) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (-.f64 1 x) (exp.f64 (log1p.f64 (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 x x) (exp.f64 (log1p.f64 (-.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 x x) (/.f64 1 (+.f64 1 x))) (/.f64 x (/.f64 (+.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 x x) (/.f64 1 (+.f64 1 (fma.f64 x x x)))) (/.f64 (pow.f64 x 3) (+.f64 1 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 1 (*.f64 x x)) 0) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x x (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x x (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 x (sqrt.f64 (-.f64 1 x))) (hypot.f64 x (sqrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x x (-.f64 1 x))) (pow.f64 (cbrt.f64 (fma.f64 x x (-.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x x (-.f64 1 x))) 2) (cbrt.f64 (fma.f64 x x (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 x 4)) (/.f64 1 (-.f64 1 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 x 6)) (/.f64 1 (+.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 (*.f64 x x) (+.f64 (fma.f64 x x -1) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 (fma.f64 x x x))) (-.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 (*.f64 x x) (+.f64 (fma.f64 x x -1) x)))) (+.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 x 4)) (-.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 x 4))) (fma.f64 x x (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 x 4)) (-.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 x 6))) (+.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 (*.f64 x x) (fma.f64 x x (-.f64 1 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simplify120.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

732×	`associate-+l+`
722×	`+-commutative`
654×	`associate-+r+`
624×	`distribute-lft-in`
620×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	604	15241
1	1895	14349

Stop Event

1×	node limit

Counts

241 → 359

Calls

Call 1

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

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

eval331.0ms (5.7%)

Compiler: Compiled 17755 to 12727 computations (28.3% saved)

prune118.0ms (2%)

Pruning

11 alts after pruning (7 fresh and 4 done)

	Pruned	Kept	Total
New	684	6	690
Fresh	1	1	2
Picked	0	1	1
Done	2	3	5
Total	687	11	698

Error

Counts

698 → 11

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(/.f64 (/.f64 2 (+.f64 x 1)) (-.f64 1 x))
▶	30.3b	(/.f64 (/.f64 -2 x) x)
▶	0.1b	(/.f64 2 (*.f64 (-.f64 -1 x) (+.f64 x -1)))
✓	30.3b	(/.f64 -2 (*.f64 x x))
✓	14.5b	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
✓	33.9b	(-.f64 (+.f64 (-.f64 1 x) (*.f64 x x)) (/.f64 1 (-.f64 x 1)))
✓	33.7b	(-.f64 1 (/.f64 1 (-.f64 x 1)))
▶	33.8b	(+.f64 2 x)
▶	30.2b	(*.f64 (pow.f64 x -2) -2)
	33.4b	2
	57.5b	1

Compiler

Compiled 116 to 91 computations (21.6% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 2 (+.f64 x 1))
✓	0.1b	(/.f64 (/.f64 2 (+.f64 x 1)) (-.f64 1 x))

Compiler

Compiled 24 to 18 computations (25% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite74.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1244×	`associate-/l*`
1134×	`associate-/r/`
998×	`*-commutative`
678×	`associate-/l/`
550×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	38
1	206	38
2	2899	28

Stop Event

1×	node limit

Counts

2 → 160

Calls

Call 1

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

Outputs

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simplify98.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

764×	`associate-/l*`
734×	`associate-l`
700×	`+-commutative`
680×	`associate-r`
674×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	437	6184
1	1277	5894
2	6424	5894

Stop Event

1×	node limit

Counts

184 → 264

Calls

Call 1

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

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

localize2.0ms (0%)

Compiler: Compiled 6 to 4 computations (33.3% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (/.f64 -2 x) x)

Compiler

Compiled 11 to 7 computations (36.4% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite50.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1380×	`add-sqr-sqrt`
1356×	`*-un-lft-identity`
1276×	`add-cube-cbrt`
1262×	`add-cbrt-cube`
1250×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	132	13
2	1715	13

Stop Event

1×	node limit

Counts

1 → 36

Calls

Call 1

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

Outputs

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

simplify54.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1542×	`associate-+r+`
1358×	`associate-+l+`
834×	`distribute-rgt-in`
798×	`distribute-lft-in`
730×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	97	744
1	255	726
2	878	726
3	3730	726

Stop Event

1×	node limit

Counts

48 → 44

Calls

Call 1

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

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

localize12.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (-.f64 -1 x) (+.f64 x -1))
✓	0.1b	(/.f64 2 (*.f64 (-.f64 -1 x) (+.f64 x -1)))

Compiler

Compiled 26 to 19 computations (26.9% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite76.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1132×	`associate-/r*`
998×	`*-commutative`
698×	`distribute-lft-in`
658×	`distribute-rgt-in`
658×	`associate-/r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	44
1	212	44
2	2933	28

Stop Event

1×	node limit

Counts

2 → 155

Calls

Call 1

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

Outputs

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

simplify93.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1012×	`associate-+r+`
788×	`associate-+l+`
674×	`+-commutative`
522×	`associate-/l*`
442×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	410	6129
1	1212	5775
2	5390	5693

Stop Event

1×	node limit

Counts

179 → 252

Calls

Call 1

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

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

localize5.0ms (0.1%)

Compiler: Compiled 11 to 8 computations (27.3% saved)

eval179.0ms (3.1%)

Compiler: Compiled 9489 to 7043 computations (25.8% saved)

prune85.0ms (1.5%)

Pruning

10 alts after pruning (4 fresh and 6 done)

	Pruned	Kept	Total
New	558	2	560
Fresh	0	2	2
Picked	0	1	1
Done	3	5	8
Total	561	10	571

Error

Counts

571 → 10

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(/.f64 (/.f64 2 (+.f64 x 1)) (-.f64 1 x))
✓	30.3b	(/.f64 (/.f64 -2 x) x)
▶	0.1b	(/.f64 2 (-.f64 1 (*.f64 x x)))
✓	30.3b	(/.f64 -2 (*.f64 x x))
✓	14.5b	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
✓	33.8b	(+.f64 2 x)
✓	30.2b	(*.f64 (pow.f64 x -2) -2)
▶	5.6b	(.f64 (/.f64 2 (.f64 (-.f64 x 1) (-.f64 1 (*.f64 x x)))) (-.f64 x 1))
	33.4b	2
	57.5b	1

Compiler

Compiled 72 to 56 computations (22.2% saved)

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 1 (*.f64 x x))
✓	0.1b	(.f64 (-.f64 x 1) (-.f64 1 (.f64 x x)))
✓	0.3b	(/.f64 2 (.f64 (-.f64 x 1) (-.f64 1 (.f64 x x))))
✓	5.3b	(.f64 (/.f64 2 (.f64 (-.f64 x 1) (-.f64 1 (*.f64 x x)))) (-.f64 x 1))

Compiler

Compiled 50 to 30 computations (40% saved)

series2.0ms (0%)

Counts

4 → 48

Calls

12 calls:

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

rewrite128.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1618×	`associate-/r*`
980×	`associate-/r/`
958×	`distribute-lft-in`
796×	`associate-/l*`
430×	`associate-/l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	112
1	248	112
2	3473	112

Stop Event

1×	node limit

Counts

4 → 446

Calls

Call 1

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

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

simplify196.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

1582×	`associate-/l/`
1436×	`associate-l`
1182×	`distribute-lft-in`
1134×	`associate-/r/`
1042×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1101	26074
1	3172	24844

Stop Event

1×	node limit

Counts

494 → 727

Calls

Call 1

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

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

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(-.f64 1 (*.f64 x x))
✓	0.1b	(/.f64 2 (-.f64 1 (*.f64 x x)))

Compiler

Compiled 19 to 10 computations (47.4% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite55.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1666×	`add-sqr-sqrt`
1638×	`*-un-lft-identity`
1536×	`add-cube-cbrt`
1526×	`add-cbrt-cube`
164×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	173	19
2	2159	19

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

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

Outputs

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

simplify54.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1710×	`associate-*r/`
1328×	`associate-r`
1096×	`associate-l`
1046×	`associate-+r+`
910×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	93	956
1	249	918
2	940	904
3	4614	904

Stop Event

1×	node limit

Counts

36 → 63

Calls

Call 1

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

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

eval371.0ms (6.4%)

Compiler: Compiled 20794 to 14580 computations (29.9% saved)

prune165.0ms (2.9%)

Pruning

11 alts after pruning (4 fresh and 7 done)

	Pruned	Kept	Total
New	879	2	881
Fresh	0	2	2
Picked	0	1	1
Done	1	6	7
Total	880	11	891

Error

Counts

891 → 11

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(/.f64 (/.f64 2 (+.f64 x 1)) (-.f64 1 x))
	5.6b	(/.f64 (/.f64 2 (.f64 (+.f64 x -1) (-.f64 1 (.f64 x x)))) (/.f64 1 (+.f64 x -1)))
✓	30.3b	(/.f64 (/.f64 -2 x) x)
✓	0.1b	(/.f64 2 (-.f64 1 (*.f64 x x)))
✓	30.3b	(/.f64 -2 (*.f64 x x))
✓	14.5b	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
✓	33.8b	(+.f64 2 x)
✓	30.2b	(*.f64 (pow.f64 x -2) -2)
	35.9b	(.f64 (/.f64 2 (.f64 (-.f64 x 1) (*.f64 x (neg.f64 x)))) (-.f64 x 1))
	33.4b	2
	57.5b	1

Compiler

Compiled 89 to 69 computations (22.5% saved)

regimes18.0ms (0.3%)

Counts

18 → 1

Calls

Call 1

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

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

Calls

2 calls:

11.0ms	x
3.0ms	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))

Results

Error	Segments	Branch
0.1b	1	`x`
0.1b	1	`(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))`

Compiler

Compiled 172 to 124 computations (27.9% saved)

regimes8.0ms (0.1%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

1 calls:

6.0ms

Results

Error	Segments	Branch
0.1b	1	`x`

Compiler

Compiled 50 to 36 computations (28% saved)

regimes14.0ms (0.2%)

Counts

6 → 3

Calls

Call 1

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

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

Calls

1 calls:

13.0ms

Results

Error	Segments	Branch
0.8b	3	`x`

Compiler

Compiled 25 to 18 computations (28% saved)

bsearch27.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
12.0ms	0.7870323070717543	37.84290273841795
15.0ms	-6742.129786603219	-2.2254273549144403e-5

Results

24.0ms

256×

body

256

valid

Compiler

Compiled 176 to 141 computations (19.9% saved)

regimes11.0ms (0.2%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

1 calls:

10.0ms

Results

Error	Segments	Branch
0.8b	3	`x`

Compiler

Compiled 13 to 9 computations (30.8% saved)

bsearch29.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
12.0ms	0.7870323070717543	37.84290273841795
16.0ms	-6742.129786603219	-2.2254273549144403e-5

Results

26.0ms

256×

body

256

valid

Compiler

Compiled 176 to 141 computations (19.9% saved)

regimes6.0ms (0.1%)

Accuracy

Total -24.3b remaining (-72.9%)

Threshold costs -24.3b (-72.9%)

Counts

3 → 1

Calls

Call 1

Inputs
1
2
(+.f64 2 x)

Outputs
2

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
33.4b	1	`x`

Compiler

Compiled 8 to 6 computations (25% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

12×	`+-commutative`
6×	`sub-neg`
6×	`*-commutative`
4×	`neg-mul-1`
4×	`if-if-or-not`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	124
1	42	124
2	50	124
3	54	124
4	56	124

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (/.f64 2 (+.f64 x 1)) (-.f64 1 x))
(/.f64 2 (-.f64 1 (*.f64 x x)))
(if (<=.f64 x -1) (/.f64 (/.f64 -2 x) x) (if (<=.f64 x 1) 2 (/.f64 (/.f64 -2 x) x)))
(if (<=.f64 x -1) (/.f64 -2 (.f64 x x)) (if (<=.f64 x 1) 2 (/.f64 -2 (.f64 x x))))
2
1

Outputs
(/.f64 (/.f64 2 (+.f64 x 1)) (-.f64 1 x))
(/.f64 2 (-.f64 1 (*.f64 x x)))
(if (<=.f64 x -1) (/.f64 (/.f64 -2 x) x) (if (<=.f64 x 1) 2 (/.f64 (/.f64 -2 x) x)))
(if (or (<=.f64 x -1) (not (<=.f64 x 1))) (/.f64 (/.f64 -2 x) x) 2)
(if (<=.f64 x -1) (/.f64 -2 (.f64 x x)) (if (<=.f64 x 1) 2 (/.f64 -2 (.f64 x x))))
(if (or (<=.f64 x -1) (not (<=.f64 x 1))) (/.f64 -2 (*.f64 x x)) 2)
2
1

Compiler

Compiled 54 to 42 computations (22.2% saved)

soundness80.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1128×	`associate-+r+`
956×	`associate-+l+`
856×	`+-commutative`
540×	`associate-l`
534×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	442	5053
1	1350	4649
2	5324	4649

Stop Event

1×	node limit

Compiler

Compiled 79 to 59 computations (25.3% saved)

end38.0ms (0.7%)

Compiler: Compiled 49 to 36 computations (26.5% saved)

Iter	Nodes	Cost
0	9	31
1	18	31
2	23	31
3	32	31
4	42	31
5	60	31
6	111	31
7	149	31
8	193	31
9	233	31
10	257	31
11	259	31
0	1	1

Iter	Nodes	Cost
0	9	31
1	18	31
2	23	31
3	32	31
4	42	31
5	60	31
6	111	31
7	149	31
8	193	31
9	233	31
10	257	31
11	259	31

Iter	Nodes	Cost
0	9	31
1	18	31
2	23	31
3	32	31
4	42	31
5	60	31
6	111	31
7	149	31
8	193	31
9	233	31
10	257	31
11	259	31
0	1	1

Iter	Nodes	Cost
0	9	31
1	18	31
2	23	31
3	32	31
4	42	31
5	60	31
6	111	31
7	149	31
8	193	31
9	233	31
10	257	31
11	259	31

Details

analyze4.0ms (0.1%)

sample1.5s (26.1%)

preprocess319.0ms (5.5%)

simplify22.0ms (0.4%)

eval1.0ms (0%)

prune1.0ms (0%)

localize14.0ms (0.2%)

series1.0ms (0%)

rewrite149.0ms (2.6%)

simplify442.0ms (7.6%)

eval172.0ms (3%)

prune57.0ms (1%)

localize17.0ms (0.3%)

series1.0ms (0%)

rewrite87.0ms (1.5%)

simplify89.0ms (1.5%)

localize4.0ms (0.1%)

series2.0ms (0%)

rewrite54.0ms (0.9%)

simplify41.0ms (0.7%)

localize7.0ms (0.1%)

series0.0ms (0%)

rewrite54.0ms (0.9%)

simplify57.0ms (1%)

localize11.0ms (0.2%)

localize16.0ms (0.3%)

series1.0ms (0%)

rewrite101.0ms (1.8%)

simplify120.0ms (2.1%)

eval331.0ms (5.7%)

prune118.0ms (2%)

localize9.0ms (0.2%)

series1.0ms (0%)

rewrite74.0ms (1.3%)

simplify98.0ms (1.7%)

localize2.0ms (0%)

localize5.0ms (0.1%)

series0.0ms (0%)

rewrite50.0ms (0.9%)

simplify54.0ms (0.9%)

localize12.0ms (0.2%)

series1.0ms (0%)

rewrite76.0ms (1.3%)

simplify93.0ms (1.6%)

localize5.0ms (0.1%)

eval179.0ms (3.1%)

prune85.0ms (1.5%)

localize16.0ms (0.3%)

series2.0ms (0%)

rewrite128.0ms (2.2%)

simplify196.0ms (3.4%)

localize6.0ms (0.1%)

series0.0ms (0%)

rewrite55.0ms (1%)

simplify54.0ms (0.9%)

eval371.0ms (6.4%)

prune165.0ms (2.9%)

regimes18.0ms (0.3%)

regimes8.0ms (0.1%)

regimes14.0ms (0.2%)

bsearch27.0ms (0.5%)

regimes11.0ms (0.2%)

bsearch29.0ms (0.5%)

regimes6.0ms (0.1%)

simplify7.0ms (0.1%)

soundness80.0ms (1.4%)

end38.0ms (0.7%)

Profiling

Iter	Nodes	Cost
0	9	31
1	18	31
2	23	31
3	32	31
4	42	31
5	60	31
6	111	31
7	149	31
8	193	31
9	233	31
10	257	31
11	259	31
0	1	1

Iter	Nodes	Cost
0	9	31
1	18	31
2	23	31
3	32	31
4	42	31
5	60	31
6	111	31
7	149	31
8	193	31
9	233	31
10	257	31
11	259	31