Details

analyze5.0ms (0.2%)

Algorithm

1×

Search

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

Compiler

Compiled 13 to 10 computations (23.1% saved)

sample746.0ms (23.4%)

Results

734.0ms

8256×

body

256

valid

Bogosity

preprocess4.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

6×	`+-commutative`
2×	`1-exp`
2×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	31
1	17	31
2	18	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 x (+.f64 x 1)))

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

Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify78.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

6×	`+-commutative`
2×	`1-exp`
2×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	31
1	17	31
2	18	31

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))

Compiler

Compiled 12 to 9 computations (25% saved)

localize11.0ms (0.4%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 30 to 21 computations (30% saved)

series3.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite301.0ms (9.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1370×	`associate-/r/`
1286×	`associate-/l*`
1104×	`*-commutative`
884×	`distribute-lft-in`
556×	`associate-/l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	57
1	213	57
2	3271	57

Stop Event

1×	node limit

Counts

3 → 220

Calls

Call 1

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

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

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simplify143.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

1462×	`associate-+r+`
782×	`*-commutative`
692×	`distribute-lft-in`
634×	`associate-r`
596×	`fma-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	609	11364
1	1925	10856
2	7995	10856

Stop Event

1×	node limit

Counts

256 → 433

Calls

Call 1

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

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

eval224.0ms (7.1%)

Compiler: Compiled 10329 to 7381 computations (28.5% saved)

prune87.0ms (2.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	429	4	433
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	429	5	434

Error

Counts

434 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	15.5b	(/.f64 (+.f64 (-.f64 -1 x) (.f64 x (-.f64 1 x))) (.f64 (+.f64 x 1) (-.f64 1 x)))
✓	0.0b	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
▶	30.8b	(+.f64 (/.f64 1 (-.f64 x 1)) x)
▶	30.6b	(+.f64 (-.f64 -1 x) (/.f64 x (+.f64 x 1)))
▶	33.0b	(+.f64 1 (/.f64 2 (*.f64 x x)))

Compiler

Compiled 56 to 41 computations (26.8% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 19 to 10 computations (47.4% saved)

series2.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite57.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1660×	`add-sqr-sqrt`
1634×	`*-un-lft-identity`
1534×	`add-cube-cbrt`
1524×	`add-cbrt-cube`
160×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	32
1	171	28
2	2149	28

Stop Event

1×	node limit

Counts

2 → 56

Calls

Call 1

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

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

Outputs

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

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

simplify63.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1450×	`associate-/l*`
1172×	`associate-r`
1104×	`associate-/r*`
968×	`associate-l`
808×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	126	1792
1	277	1594
2	851	1594
3	4075	1594

Stop Event

1×	node limit

Counts

80 → 69

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

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

localize11.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 24 to 16 computations (33.3% saved)

localize34.0ms (1.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 18 to 13 computations (27.8% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite56.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1734×	`add-sqr-sqrt`
1712×	`*-un-lft-identity`
1610×	`add-cube-cbrt`
1596×	`add-cbrt-cube`
160×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	158	19
2	2180	19

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

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

Outputs

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

simplify60.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1146×	`associate-r`
1016×	`associate-l`
866×	`associate-+r+`
704×	`associate-+l+`
512×	`associate-/l/`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	114	1447
1	289	1385
2	1007	1369
3	5232	1367

Stop Event

1×	node limit

Counts

47 → 65

Calls

Call 1

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

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

localize20.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 x (-.f64 1 x))
✓	0.0b	(+.f64 (-.f64 -1 x) (*.f64 x (-.f64 1 x)))
✓	0.0b	(*.f64 (+.f64 x 1) (-.f64 1 x))
✓	15.0b	(/.f64 (+.f64 (-.f64 -1 x) (.f64 x (-.f64 1 x))) (.f64 (+.f64 x 1) (-.f64 1 x)))

Compiler

Compiled 51 to 35 computations (31.4% saved)

series33.0ms (1%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
29.0ms	x	@	0	(+.f64 (-.f64 -1 x) (*.f64 x (-.f64 1 x)))
1.0ms	x	@	-inf	(/.f64 (+.f64 (-.f64 -1 x) (.f64 x (-.f64 1 x))) (.f64 (+.f64 x 1) (-.f64 1 x)))
0.0ms	x	@	0	(/.f64 (+.f64 (-.f64 -1 x) (.f64 x (-.f64 1 x))) (.f64 (+.f64 x 1) (-.f64 1 x)))
0.0ms	x	@	inf	(*.f64 (+.f64 x 1) (-.f64 1 x))
0.0ms	x	@	inf	(/.f64 (+.f64 (-.f64 -1 x) (.f64 x (-.f64 1 x))) (.f64 (+.f64 x 1) (-.f64 1 x)))

rewrite111.0ms (3.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1922×	`associate-/l*`
1568×	`associate-/r/`
462×	`associate-+l+`
318×	`+-commutative`
286×	`add-sqr-sqrt`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	106
1	276	98
2	4110	70

Stop Event

1×	node limit

Counts

4 → 284

Calls

Call 1

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

Outputs
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simplify151.0ms (4.7%)

Algorithm

1×	egg-herbie

Rules

1482×	`associate-/l*`
1036×	`associate-r`
994×	`associate-l`
804×	`associate-/r*`
698×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	691	12912
1	2103	12420

Stop Event

1×	node limit

Counts

332 → 441

Calls

Call 1

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

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

eval386.0ms (12.1%)

Compiler: Compiled 17236 to 11961 computations (30.6% saved)

prune154.0ms (4.8%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	808	4	812
Fresh	0	0	0
Picked	1	0	1
Done	1	3	4
Total	810	7	817

Error

Counts

817 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	15.5b	(/.f64 (-.f64 -1 (.f64 x x)) (-.f64 1 (.f64 x x)))
▶	31.5b	(-.f64 -1 (*.f64 x x))
✓	30.8b	(+.f64 (/.f64 1 (-.f64 x 1)) x)
✓	30.6b	(+.f64 (-.f64 -1 x) (/.f64 x (+.f64 x 1)))
✓	33.0b	(+.f64 1 (/.f64 2 (*.f64 x x)))
	32.7b	1
	31.2b	-1

Compiler

Compiled 48 to 34 computations (29.2% saved)

localize4.0ms (0.1%)

Compiler: Compiled 11 to 5 computations (54.5% saved)

localize8.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	15.0b	(/.f64 (-.f64 -1 (.f64 x x)) (-.f64 1 (.f64 x x)))

Compiler

Compiled 28 to 13 computations (53.6% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite63.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

1660×	`associate-*r/`
1256×	`associate-/r*`
1250×	`associate-*l/`
1132×	`associate-/l*`
902×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	31
1	202	31
2	2755	31

Stop Event

1×	node limit

Counts

1 → 46

Calls

Call 1

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

Outputs

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

simplify69.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1474×	`associate-r`
1266×	`associate-l`
602×	`distribute-lft-neg-in`
540×	`associate-*r/`
500×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	131	2758
1	370	2130
2	1255	2102
3	6208	2102

Stop Event

1×	node limit

Counts

58 → 79

Calls

Call 1

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

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

eval26.0ms (0.8%)

Compiler: Compiled 1362 to 822 computations (39.6% saved)

prune12.0ms (0.4%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	79	0	79
Fresh	0	2	2
Picked	0	1	1
Done	0	4	4
Total	79	7	86

Error

Counts

86 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	15.5b	(/.f64 (-.f64 -1 (.f64 x x)) (-.f64 1 (.f64 x x)))
✓	31.5b	(-.f64 -1 (*.f64 x x))
✓	30.8b	(+.f64 (/.f64 1 (-.f64 x 1)) x)
✓	30.6b	(+.f64 (-.f64 -1 x) (/.f64 x (+.f64 x 1)))
✓	33.0b	(+.f64 1 (/.f64 2 (*.f64 x x)))
	32.7b	1
	31.2b	-1

Compiler

Compiled 48 to 34 computations (29.2% saved)

eval0.0ms (0%)

Compiler: Compiled 1 to 1 computations (0% saved)

prune3.0ms (0.1%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	0	0
Done	5	5
Total	7	7

Error

Counts

7 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	15.5b	(/.f64 (-.f64 -1 (.f64 x x)) (-.f64 1 (.f64 x x)))
✓	31.5b	(-.f64 -1 (*.f64 x x))
✓	30.8b	(+.f64 (/.f64 1 (-.f64 x 1)) x)
✓	30.6b	(+.f64 (-.f64 -1 x) (/.f64 x (+.f64 x 1)))
✓	33.0b	(+.f64 1 (/.f64 2 (*.f64 x x)))
	32.7b	1
	31.2b	-1

Compiler

Compiled 48 to 34 computations (29.2% saved)

regimes11.0ms (0.3%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	x
3.0ms	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))

Results

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

Compiler

Compiled 84 to 56 computations (33.3% saved)

regimes16.0ms (0.5%)

Counts

6 → 3

Calls

Call 1

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

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

Calls

1 calls:

14.0ms

Results

Error	Segments	Branch
0.8b	3	`x`

Compiler

Compiled 33 to 22 computations (33.3% saved)

bsearch29.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
14.0ms	0.011575579442789228	10.968693403130931
15.0ms	-28910865.600901287	-0.0095221571983931

Results

25.0ms

272×

body

256

valid

Compiler

Compiled 356 to 267 computations (25% saved)

regimes13.0ms (0.4%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

1 calls:

12.0ms

Results

Error	Segments	Branch
0.8b	3	`x`

Compiler

Compiled 24 to 16 computations (33.3% saved)

bsearch30.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
15.0ms	0.011575579442789228	10.968693403130931
15.0ms	-28910865.600901287	-0.0095221571983931

Results

25.0ms

272×

body

256

valid

Compiler

Compiled 288 to 216 computations (25% saved)

regimes11.0ms (0.3%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

1 calls:

10.0ms

Results

Error	Segments	Branch
0.9b	3	`x`

Compiler

Compiled 10 to 7 computations (30% saved)

bsearch29.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
13.0ms	0.011575579442789228	10.968693403130931
15.0ms	-28910865.600901287	-0.0095221571983931

Results

25.0ms

272×

body

256

valid

Compiler

Compiled 186 to 148 computations (20.4% saved)

regimes10.0ms (0.3%)

Accuracy

Total -62.1b remaining (-7023.9%)

Threshold costs -62.1b (-7023.9%)

Counts

2 → 3

Calls

Call 1

Inputs
-1
1

Outputs
1
-1
1

Calls

1 calls:

10.0ms

Results

Error	Segments	Branch
0.9b	3	`x`

Compiler

Compiled 5 to 4 computations (20% saved)

bsearch30.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
15.0ms	0.011575579442789228	10.968693403130931
15.0ms	-28910865.600901287	-0.0095221571983931

Results

26.0ms

272×

body

256

valid

Compiler

Compiled 118 to 114 computations (3.4% saved)

simplify12.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	212
1	56	212
2	65	212
3	69	212
4	71	212

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
(if (<=.f64 x -6530219459687219/4503599627370496) (+.f64 1 (/.f64 2 (.f64 x x))) (if (<=.f64 x 1) (+.f64 (-.f64 -1 x) (/.f64 x (+.f64 x 1))) (+.f64 1 (/.f64 2 (.f64 x x)))))
(if (<=.f64 x -1) (+.f64 1 (/.f64 2 (.f64 x x))) (if (<=.f64 x 1) (-.f64 -1 (.f64 x x)) (+.f64 1 (/.f64 2 (*.f64 x x)))))
(if (<=.f64 x -1) 1 (if (<=.f64 x 1) (-.f64 -1 (*.f64 x x)) 1))
(if (<=.f64 x -1) 1 (if (<=.f64 x 1) -1 1))
-1

Outputs
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
(+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (+.f64 1 x)))
(if (<=.f64 x -6530219459687219/4503599627370496) (+.f64 1 (/.f64 2 (.f64 x x))) (if (<=.f64 x 1) (+.f64 (-.f64 -1 x) (/.f64 x (+.f64 x 1))) (+.f64 1 (/.f64 2 (.f64 x x)))))
(if (or (<=.f64 x -6530219459687219/4503599627370496) (not (<=.f64 x 1))) (+.f64 1 (/.f64 2 (*.f64 x x))) (+.f64 (/.f64 x (+.f64 1 x)) (-.f64 -1 x)))
(if (<=.f64 x -1) (+.f64 1 (/.f64 2 (.f64 x x))) (if (<=.f64 x 1) (-.f64 -1 (.f64 x x)) (+.f64 1 (/.f64 2 (*.f64 x x)))))
(if (or (<=.f64 x -1) (not (<=.f64 x 1))) (+.f64 1 (/.f64 2 (.f64 x x))) (-.f64 -1 (.f64 x x)))
(if (<=.f64 x -1) 1 (if (<=.f64 x 1) (-.f64 -1 (*.f64 x x)) 1))
(if (<=.f64 x -1) 1 (if (<=.f64 x 1) -1 1))
-1

Compiler

Compiled 90 to 67 computations (25.6% saved)

soundness0.0ms (0%)

end53.0ms (1.7%)

Compiler: Compiled 85 to 60 computations (29.4% saved)

Details

analyze5.0ms (0.2%)

sample746.0ms (23.4%)

preprocess4.0ms (0.1%)

simplify78.0ms (2.4%)

eval1.0ms (0%)

prune1.0ms (0%)

localize11.0ms (0.4%)

series3.0ms (0.1%)

rewrite301.0ms (9.5%)

simplify143.0ms (4.5%)

eval224.0ms (7.1%)

prune87.0ms (2.7%)

localize6.0ms (0.2%)

series2.0ms (0.1%)

rewrite57.0ms (1.8%)

simplify63.0ms (2%)

localize11.0ms (0.3%)

localize34.0ms (1.1%)

series1.0ms (0%)

rewrite56.0ms (1.8%)

simplify60.0ms (1.9%)

localize20.0ms (0.6%)

series33.0ms (1%)

rewrite111.0ms (3.5%)

simplify151.0ms (4.7%)

eval386.0ms (12.1%)

prune154.0ms (4.8%)

localize4.0ms (0.1%)

localize8.0ms (0.3%)

series2.0ms (0%)

rewrite63.0ms (2%)

simplify69.0ms (2.2%)

eval26.0ms (0.8%)

prune12.0ms (0.4%)

eval0.0ms (0%)

prune3.0ms (0.1%)

regimes11.0ms (0.3%)

regimes16.0ms (0.5%)

bsearch29.0ms (0.9%)

regimes13.0ms (0.4%)

bsearch30.0ms (0.9%)

regimes11.0ms (0.3%)

bsearch29.0ms (0.9%)

regimes10.0ms (0.3%)

bsearch30.0ms (1%)

simplify12.0ms (0.4%)

soundness0.0ms (0%)

end53.0ms (1.7%)

Profiling