Details

analyze7.0ms (0.3%)

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)

sample780.0ms (29.1%)

Results

768.0ms

8256×

body

256

valid

Bogosity

preprocess4.0ms (0.2%)

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)

simplify14.0ms (0.5%)

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)

localize13.0ms (0.5%)

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)

series4.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite89.0ms (3.3%)

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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simplify138.0ms (5.2%)

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)))

eval187.0ms (7%)

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

prune63.0ms (2.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	430	3	433
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	430	4	434

Error

Counts

434 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
▶	32.8b	(+.f64 (/.f64 1 (-.f64 x 1)) x)
▶	32.9b	(+.f64 (-.f64 -1 x) (/.f64 x (+.f64 x 1)))
▶	30.1b	(+.f64 1 (/.f64 2 (*.f64 x x)))

Compiler

Compiled 38 to 28 computations (26.3% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 19 to 10 computations (47.4% saved)

series2.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

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

rewrite47.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1198×	`add-sqr-sqrt`
1176×	`*-un-lft-identity`
1120×	`pow1`
1100×	`add-cube-cbrt`
1092×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	128	13
2	1563	13

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

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

Outputs

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

simplify45.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1406×	`distribute-rgt-in`
1398×	`associate-/r*`
1372×	`distribute-lft-in`
992×	`associate-+r+`
956×	`associate-+l+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	485
1	134	485
2	448	485
3	2605	485

Stop Event

1×	node limit

Counts

33 → 24

Calls

Call 1

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

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

localize9.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 24 to 16 computations (33.3% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite79.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1276×	`associate-/r*`
992×	`*-commutative`
878×	`associate-/l*`
874×	`distribute-lft-in`
786×	`associate-/r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	208	25
2	3073	25

Stop Event

1×	node limit

Counts

1 → 109

Calls

Call 1

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

Outputs

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

simplify337.0ms (12.6%)

Algorithm

1×	egg-herbie

Rules

1276×	`associate-+l+`
1140×	`associate-+r+`
988×	`+-commutative`
738×	`associate-+l-`
534×	`associate--r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	358	7435
1	1126	7167
2	4968	7153

Stop Event

1×	node limit

Counts

121 → 218

Calls

Call 1

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

localize32.0ms (1.2%)

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)

rewrite55.0ms (2.1%)

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)))))))

simplify59.0ms (2.2%)

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)))

eval299.0ms (11.2%)

Compiler: Compiled 11601 to 8186 computations (29.4% saved)

prune91.0ms (3.4%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	538	6	544
Fresh	0	0	0
Picked	0	1	1
Done	1	2	3
Total	539	9	548

Error

Counts

548 → 9

Alt Table

Click to see full alt table

Status	Error	Program
▶	33.7b	(-.f64 -1 (*.f64 x x))
✓	0.0b	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
✓	32.8b	(+.f64 (/.f64 1 (-.f64 x 1)) x)
▶	32.9b	(+.f64 (-.f64 -1 x) x)
✓	30.1b	(+.f64 1 (/.f64 2 (*.f64 x x)))
▶	33.0b	(+.f64 -1 x)
▶	61.9b	(neg.f64 x)
	61.6b	x
	33.4b	-1

Compiler

Compiled 51 to 37 computations (27.5% saved)

localize2.0ms (0.1%)

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

localize2.0ms (0.1%)

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

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 11 to 7 computations (36.4% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite61.0ms (2.3%)

Algorithm

1×	egg-rewrite-iter-limit
1×	batch-egg-rewrite

Rules

148×	`add-sqr-sqrt`
144×	`pow1`
144×	`*-un-lft-identity`
138×	`add-exp-log`
138×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	140	13
2	2110	13
0	6	13

Stop Event

1×	iter limit
1×	unsound

Counts

1 → 12

Calls

Call 1

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

Outputs

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

simplify95.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

1394×	`associate-+l-`
1012×	`fma-neg`
1012×	`+-commutative`
970×	`*-commutative`
784×	`associate-/r*`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	41	96
1	124	96
2	226	90
3	595	86
4	2394	86
5	7742	86

Stop Event

1×	node limit

Counts

24 → 19

Calls

Call 1

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

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

localize4.0ms (0.1%)

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

eval5.0ms (0.2%)

Compiler: Compiled 258 to 180 computations (30.2% saved)

prune5.0ms (0.2%)

Pruning

9 alts after pruning (2 fresh and 7 done)

	Pruned	Kept	Total
New	19	0	19
Fresh	0	2	2
Picked	0	1	1
Done	0	6	6
Total	19	9	28

Error

Counts

28 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	33.7b	(-.f64 -1 (*.f64 x x))
✓	0.0b	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
✓	32.8b	(+.f64 (/.f64 1 (-.f64 x 1)) x)
✓	32.9b	(+.f64 (-.f64 -1 x) x)
✓	30.1b	(+.f64 1 (/.f64 2 (*.f64 x x)))
✓	33.0b	(+.f64 -1 x)
✓	61.9b	(neg.f64 x)
	61.6b	x
	33.4b	-1

Compiler

Compiled 51 to 37 computations (27.5% saved)

eval0.0ms (0%)

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

prune3.0ms (0.1%)

Pruning

9 alts after pruning (2 fresh and 7 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	0	0
Done	7	7
Total	9	9

Error

Counts

9 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	33.7b	(-.f64 -1 (*.f64 x x))
✓	0.0b	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
✓	32.8b	(+.f64 (/.f64 1 (-.f64 x 1)) x)
✓	32.9b	(+.f64 (-.f64 -1 x) x)
✓	30.1b	(+.f64 1 (/.f64 2 (*.f64 x x)))
✓	33.0b	(+.f64 -1 x)
✓	61.9b	(neg.f64 x)
	61.6b	x
	33.4b	-1

Compiler

Compiled 51 to 37 computations (27.5% saved)

regimes11.0ms (0.4%)

Counts

10 → 1

Calls

Call 1

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

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

Calls

2 calls:

6.0ms	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 66 to 44 computations (33.3% saved)

regimes20.0ms (0.7%)

Counts

9 → 3

Calls

Call 1

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

Calls

1 calls:

18.0ms

Results

Error	Segments	Branch
0.2b	3	`x`

Compiler

Compiled 43 to 27 computations (37.2% saved)

bsearch33.0ms (1.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
15.0ms	0.08893073059333845	35706.229637543576
18.0ms	-4065846981.970406	-4.346981425181522e-8

Results

27.0ms

304×

body

256

valid

Compiler

Compiled 320 to 240 computations (25% saved)

regimes8.0ms (0.3%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

1 calls:

7.0ms

Results

Error	Segments	Branch
32.9b	1	`x`

Compiler

Compiled 20 to 12 computations (40% saved)

regimes5.0ms (0.2%)

Counts

4 → 1

Calls

Call 1

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

Outputs
(+.f64 -1 x)

Calls

1 calls:

4.0ms

Results

Error	Segments	Branch
33.0b	1	`x`

Compiler

Compiled 10 to 6 computations (40% saved)

regimes4.0ms (0.2%)

Accuracy

Total -29.5b remaining (-88.3%)

Threshold costs -29.5b (-88.3%)

Counts

3 → 1

Calls

Call 1

Inputs
-1
x
(neg.f64 x)

Outputs
-1

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
33.4b	1	`x`

Compiler

Compiled 7 to 4 computations (42.9% saved)

simplify12.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

20×	`+-commutative`
8×	`sub-neg`
6×	`*-commutative`
4×	`neg-mul-1`
4×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	109
1	45	109
2	53	109
3	57	109
4	59	109

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

Compiler

Compiled 46 to 33 computations (28.3% saved)

soundness0.0ms (0%)

end36.0ms (1.3%)

Compiler: Compiled 42 to 29 computations (31% saved)

Details

analyze7.0ms (0.3%)

sample780.0ms (29.1%)

preprocess4.0ms (0.2%)

simplify14.0ms (0.5%)

eval1.0ms (0%)

prune1.0ms (0%)

localize13.0ms (0.5%)

series4.0ms (0.1%)

rewrite89.0ms (3.3%)

simplify138.0ms (5.2%)

eval187.0ms (7%)

prune63.0ms (2.4%)

localize6.0ms (0.2%)

series2.0ms (0.1%)

rewrite47.0ms (1.8%)

simplify45.0ms (1.7%)

localize9.0ms (0.3%)

series1.0ms (0%)

rewrite79.0ms (2.9%)

simplify337.0ms (12.6%)

localize32.0ms (1.2%)

series1.0ms (0%)

rewrite55.0ms (2.1%)

simplify59.0ms (2.2%)

eval299.0ms (11.2%)

prune91.0ms (3.4%)

localize2.0ms (0.1%)

localize2.0ms (0.1%)

localize4.0ms (0.2%)

series1.0ms (0%)

rewrite61.0ms (2.3%)

simplify95.0ms (3.5%)

localize4.0ms (0.1%)

eval5.0ms (0.2%)

prune5.0ms (0.2%)

eval0.0ms (0%)

prune3.0ms (0.1%)

regimes11.0ms (0.4%)

regimes20.0ms (0.7%)

bsearch33.0ms (1.2%)

regimes8.0ms (0.3%)

regimes5.0ms (0.2%)

regimes4.0ms (0.2%)

simplify12.0ms (0.4%)

soundness0.0ms (0%)

end36.0ms (1.3%)

Profiling