Details

analyze460.0ms (4.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	50%	50%	0%	0%	0%	0
0%	0%	50%	50%	0%	0%	0%	1
0%	0%	50%	50%	0%	0%	0%	2
0%	0%	50%	50%	0%	0%	0%	3
0%	0%	50%	50%	0%	0%	0%	4
6.3%	3.1%	46.8%	50%	0%	0%	0%	5
9.4%	4.7%	45.3%	50%	0%	0%	0%	6
10.9%	5.5%	44.5%	50%	0%	0%	0%	7
11.7%	5.9%	44.1%	50%	0%	0%	0%	8
12.1%	6%	43.9%	50%	0%	0%	0%	9
12.3%	6.1%	43.8%	50%	0%	0%	0%	10
12.4%	6.2%	43.8%	50%	0%	0%	0%	11
12.5%	6.2%	43.7%	50%	0%	0%	0%	12

Compiler

Compiled 17 to 13 computations (23.5% saved)

sample5.6s (49.1%)

Results

3.9s	4167×	body	1024	valid
873.0ms	2063×	body	512	valid
533.0ms	413×	body	2048	valid
260.0ms	1613×	body	256	valid

Bogosity

preprocess8.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

18×	`+-commutative`
12×	`fma-def`
12×	`associate-+l-`
8×	`sub-neg`
6×	`associate-+r-`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	21
1	16	19
2	21	19
3	28	19
4	35	19
5	45	19
6	64	19
7	78	19
8	82	19
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

Outputs
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
(/.f64 (log.f64 (-.f64 1 x)) (log1p.f64 x))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))

Compiler

Compiled 11 to 9 computations (18.2% saved)

simplify14.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

18×	`+-commutative`
12×	`fma-def`
12×	`associate-+l-`
8×	`sub-neg`
6×	`associate-+r-`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	21
1	16	19
2	21	19
3	28	19
4	35	19
5	45	19
6	64	19
7	78	19
8	82	19

Stop Event

1×

saturated

Counts

1 → 3

Calls

Call 1

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

Outputs
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
(/.f64 (log.f64 (-.f64 1 x)) (log1p.f64 x))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))

eval1.0ms (0%)

Compiler: Compiled 23 to 16 computations (30.4% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.0b

Counts

4 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
▶	60.7b	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))

Compiler

Compiled 17 to 13 computations (23.5% saved)

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
✓	6.6b	(log.f64 (-.f64 1 x))
✓	6.6b	(log.f64 (+.f64 1 x))

Compiler

Compiled 26 to 19 computations (26.9% saved)

series7.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
2.0ms	x	@	inf	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
1.0ms	x	@	0	(log.f64 (+.f64 1 x))
0.0ms	x	@	-inf	(log.f64 (+.f64 1 x))
0.0ms	x	@	inf	(log.f64 (+.f64 1 x))

rewrite70.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1240×	`associate-*r/`
1060×	`associate-/r*`
912×	`associate-*l/`
892×	`*-commutative`
660×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	37
1	203	33
2	2608	33

Stop Event

1×	node limit

Counts

3 → 125

Calls

Call 1

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

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

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

simplify92.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1130×	`+-commutative`
1044×	`associate--r+`
792×	`associate-+l-`
706×	`associate--l+`
666×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	409	6223
1	1103	5347
2	5210	5343

Stop Event

1×	node limit

Counts

161 → 268

Calls

Call 1

Inputs
x
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/3 (pow.f64 x 3)) x))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 -1/4 (pow.f64 x 4)) x)))
(*.f64 -1 (log.f64 (/.f64 1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 x))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 x)) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (/.f64 1 x)))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (/.f64 1 x))) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(*.f64 -1 x)
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (*.f64 -1 x)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 -1 x) (.f64 -1/4 (pow.f64 x 4)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (/.f64 1 x))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))))
(*.f64 -1 (log.f64 (/.f64 -1 x)))
(-.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (/.f64 1 x))
(-.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)))
(-.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))))
-1
(-.f64 (*.f64 -1 x) 1)
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3)))) 1)
(.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (log.f64 (/.f64 1 x))))
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(pow.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 1)
(pow.f64 (sqrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 2)
(pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 3) 1/3)
(pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) -1)
(neg.f64 (/.f64 (log1p.f64 (neg.f64 x)) (neg.f64 (log1p.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 2))
(log.f64 (pow.f64 (-.f64 1 x) (/.f64 1 (log1p.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
(exp.f64 (log.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))

Outputs
x
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(fma.f64 -1/2 (*.f64 x x) x)
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/3 (pow.f64 x 3)) x))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 1/3 (pow.f64 x 3) x))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 -1/4 (pow.f64 x 4)) x)))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 1/3 (pow.f64 x 3) (fma.f64 -1/4 (pow.f64 x 4) x)))
(*.f64 -1 (log.f64 (/.f64 1 x)))
(neg.f64 (neg.f64 (log.f64 x)))
(log.f64 x)
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 x))
(fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1 x))
(+.f64 (/.f64 1 x) (log.f64 x))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 x)) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1 x)) (/.f64 1/2 (*.f64 x x)))
(+.f64 (log.f64 x) (-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))))
(+.f64 (/.f64 1 x) (+.f64 (log.f64 x) (/.f64 -1/2 (*.f64 x x))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3)))) (/.f64 1/2 (*.f64 x x)))
(+.f64 (log.f64 x) (+.f64 (/.f64 1 x) (-.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 1/2 (*.f64 x x)))))
(+.f64 (/.f64 1 x) (-.f64 (+.f64 (log.f64 x) (/.f64 1/3 (pow.f64 x 3))) (/.f64 1/2 (*.f64 x x))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))
(-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (/.f64 1 x)))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 1 x) (log.f64 -1)))
(+.f64 (/.f64 1 x) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (/.f64 1 x))) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 1 x) (log.f64 -1))) (/.f64 1/2 (*.f64 x x)))
(+.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))))
(-.f64 (+.f64 (/.f64 1 x) (log.f64 -1)) (-.f64 (log.f64 (/.f64 -1 x)) (/.f64 -1/2 (*.f64 x x))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3)))) (/.f64 1/2 (*.f64 x x)))
(+.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 1 x) (-.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 1/2 (*.f64 x x)))))
(-.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1/3 (pow.f64 x 3)) (log.f64 -1))) (-.f64 (log.f64 (/.f64 -1 x)) (/.f64 -1/2 (*.f64 x x))))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x))
(fma.f64 -1/2 (*.f64 x x) (neg.f64 x))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (*.f64 -1 x)))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -1/3 (pow.f64 x 3) (neg.f64 x)))
(fma.f64 -1/2 (.f64 x x) (-.f64 (.f64 (pow.f64 x 3) -1/3) x))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 -1 x) (.f64 -1/4 (pow.f64 x 4)))))
(fma.f64 -1/2 (.f64 x x) (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 -1 x (.f64 -1/4 (pow.f64 x 4)))))
(fma.f64 -1/2 (.f64 x x) (fma.f64 (pow.f64 x 3) -1/3 (-.f64 (.f64 -1/4 (pow.f64 x 4)) x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1))
(fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1))
(+.f64 (log.f64 x) (log.f64 -1))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (/.f64 1 x))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)) (/.f64 1 x))
(+.f64 (log.f64 x) (+.f64 (log.f64 -1) (/.f64 -1 x)))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)) (+.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))))
(+.f64 (log.f64 x) (+.f64 (log.f64 -1) (+.f64 (/.f64 -1 x) (/.f64 -1/2 (*.f64 x x)))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))))
(-.f64 (-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)) (/.f64 1/2 (*.f64 x x))) (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))))
(+.f64 (log.f64 x) (-.f64 (log.f64 -1) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1/3 (pow.f64 x 3))))))
(*.f64 -1 (log.f64 (/.f64 -1 x)))
(neg.f64 (log.f64 (/.f64 -1 x)))
(-.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (/.f64 1 x))
(-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (/.f64 1 x))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (/.f64 -1 x))
(-.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)))
(-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))))
(+.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (/.f64 -1/2 (*.f64 x x))) (/.f64 -1 x))
(-.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))))
(-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3)))))
(-.f64 (+.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (/.f64 -1/2 (*.f64 x x))) (/.f64 -1 x)) (/.f64 1/3 (pow.f64 x 3)))
(-.f64 (-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (/.f64 -1 x)) (/.f64 1/3 (pow.f64 x 3))) (/.f64 1/2 (*.f64 x x)))
-1
(-.f64 (*.f64 -1 x) 1)
(fma.f64 -1 x -1)
(fma.f64 x -1 -1)
(-.f64 -1 x)
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(fma.f64 -1/2 (*.f64 x x) (fma.f64 x -1 -1))
(fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x))
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3)))) 1)
(+.f64 (fma.f64 -1/2 (.f64 x x) (fma.f64 -1 x (.f64 (pow.f64 x 3) -5/12))) -1)
(+.f64 -1 (fma.f64 -1/2 (.f64 x x) (-.f64 (.f64 (pow.f64 x 3) -5/12) x)))
(+.f64 (.f64 (pow.f64 x 3) -5/12) (fma.f64 -1/2 (.f64 x x) (-.f64 -1 x)))
(.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (log.f64 (/.f64 1 x))))
(neg.f64 (/.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)) (neg.f64 (log.f64 x))))
(/.f64 (neg.f64 (+.f64 (log.f64 x) (log.f64 -1))) (neg.f64 (log.f64 x)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (log.f64 (/.f64 1 x)))) (/.f64 2 (.f64 (log.f64 (/.f64 1 x)) x))) (/.f64 (log.f64 -1) (.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) x)))
(-.f64 (fma.f64 -1 (/.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)) (neg.f64 (log.f64 x))) (/.f64 2 (.f64 x (neg.f64 (log.f64 x))))) (/.f64 (log.f64 -1) (.f64 x (pow.f64 (neg.f64 (log.f64 x)) 2))))
(-.f64 (-.f64 (/.f64 2 (.f64 x (neg.f64 (log.f64 x)))) (/.f64 (+.f64 (log.f64 x) (log.f64 -1)) (neg.f64 (log.f64 x)))) (/.f64 (log.f64 -1) (.f64 x (*.f64 (log.f64 x) (log.f64 x)))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 (log.f64 (/.f64 1 x)) x))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)))) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (log.f64 (/.f64 1 x)))))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 2 (/.f64 1 (log.f64 (/.f64 1 x)))) (/.f64 (log.f64 -1) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)))) (+.f64 (/.f64 (log.f64 -1) (.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) x)) (.f64 -1/2 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 x 2)))))))
(-.f64 (+.f64 (/.f64 2 (.f64 x (neg.f64 (log.f64 x)))) (+.f64 (neg.f64 (/.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)) (neg.f64 (log.f64 x)))) (/.f64 1/2 (.f64 (.f64 x x) (neg.f64 (log.f64 x)))))) (+.f64 (fma.f64 -1 (/.f64 (-.f64 (/.f64 2 (neg.f64 (log.f64 x))) (/.f64 (log.f64 -1) (pow.f64 (neg.f64 (log.f64 x)) 2))) (.f64 (.f64 x x) (neg.f64 (log.f64 x)))) (/.f64 (log.f64 -1) (.f64 x (pow.f64 (neg.f64 (log.f64 x)) 2)))) (.f64 -1/2 (/.f64 (/.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)) (pow.f64 (neg.f64 (log.f64 x)) 2)) (.f64 x x)))))
(-.f64 (+.f64 (-.f64 (/.f64 2 (.f64 x (neg.f64 (log.f64 x)))) (/.f64 (+.f64 (log.f64 x) (log.f64 -1)) (neg.f64 (log.f64 x)))) (/.f64 1/2 (.f64 (.f64 x x) (neg.f64 (log.f64 x))))) (-.f64 (fma.f64 -1/2 (/.f64 (+.f64 (log.f64 x) (log.f64 -1)) (.f64 x (.f64 x (.f64 (log.f64 x) (log.f64 x))))) (/.f64 (log.f64 -1) (.f64 x (.f64 (log.f64 x) (log.f64 x))))) (/.f64 (-.f64 (/.f64 2 (neg.f64 (log.f64 x))) (/.f64 (log.f64 -1) (.f64 (log.f64 x) (log.f64 x)))) (.f64 (*.f64 x x) (neg.f64 (log.f64 x))))))
(+.f64 (-.f64 (/.f64 2 (.f64 x (neg.f64 (log.f64 x)))) (/.f64 (+.f64 (log.f64 x) (log.f64 -1)) (neg.f64 (log.f64 x)))) (+.f64 (-.f64 (/.f64 1/2 (.f64 (.f64 x x) (neg.f64 (log.f64 x)))) (fma.f64 -1/2 (/.f64 (+.f64 (log.f64 x) (log.f64 -1)) (.f64 (.f64 x x) (.f64 (log.f64 x) (log.f64 x)))) (/.f64 (log.f64 -1) (.f64 x (.f64 (log.f64 x) (log.f64 x)))))) (/.f64 (-.f64 (/.f64 2 (neg.f64 (log.f64 x))) (/.f64 (log.f64 -1) (.f64 (log.f64 x) (log.f64 x)))) (.f64 (*.f64 x x) (neg.f64 (log.f64 x))))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 (log.f64 (/.f64 1 x)) x))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)))) (+.f64 (.f64 1/3 (/.f64 1 (.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 3)))) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (log.f64 (/.f64 1 x))))))) (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 2 (/.f64 1 (log.f64 (/.f64 1 x)))) (/.f64 (log.f64 -1) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 3)))) (+.f64 (.f64 1/3 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 x 3)))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 x 2)))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (log.f64 (/.f64 1 x)))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (.f64 -1 (/.f64 (-.f64 (.f64 2 (/.f64 1 (log.f64 (/.f64 1 x)))) (/.f64 (log.f64 -1) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (log.f64 (/.f64 1 x)))))) (.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 3)))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 2 (/.f64 1 (log.f64 (/.f64 1 x)))) (/.f64 (log.f64 -1) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)))) (/.f64 (log.f64 -1) (.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) x))))))))
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(*.f64 (/.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (log1p.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2) 1))
(+.f64 0 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(*.f64 (/.f64 1 (sqrt.f64 (log1p.f64 x))) (/.f64 (log1p.f64 (neg.f64 x)) (sqrt.f64 (log1p.f64 x))))
(+.f64 0 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (/.f64 (log1p.f64 (neg.f64 x)) (cbrt.f64 (log1p.f64 x))))
(+.f64 0 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(*.f64 (/.f64 (log1p.f64 (neg.f64 x)) (sqrt.f64 (log1p.f64 x))) (/.f64 1 (sqrt.f64 (log1p.f64 x))))
(+.f64 0 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(*.f64 (/.f64 (log1p.f64 (neg.f64 x)) (cbrt.f64 (log1p.f64 x))) (/.f64 1 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)))
(+.f64 0 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(*.f64 (/.f64 -1 (log1p.f64 x)) (neg.f64 (log1p.f64 (neg.f64 x))))
(+.f64 0 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 (neg.f64 x))) 1) (/.f64 (sqrt.f64 (log1p.f64 (neg.f64 x))) (log1p.f64 x)))
(+.f64 0 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 (neg.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (/.f64 (sqrt.f64 (log1p.f64 (neg.f64 x))) (cbrt.f64 (log1p.f64 x))))
(+.f64 0 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 (neg.f64 x))) (cbrt.f64 (log1p.f64 x))) (/.f64 (sqrt.f64 (log1p.f64 (neg.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)))
(+.f64 0 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2) 1) (/.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (log1p.f64 x)))
(+.f64 0 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2) (sqrt.f64 (log1p.f64 x))) (/.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (sqrt.f64 (log1p.f64 x))))
(+.f64 0 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(*.f64 (/.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (sqrt.f64 (log1p.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2) (sqrt.f64 (log1p.f64 x))))
(+.f64 0 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
(/.f64 (*.f64 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))
(/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2) (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))))
(*.f64 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2) (log1p.f64 x)) (cbrt.f64 (log1p.f64 (neg.f64 x))))
(+.f64 0 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(*.f64 (/.f64 1 (/.f64 (log1p.f64 x) (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2))) (cbrt.f64 (log1p.f64 (neg.f64 x))))
(+.f64 0 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(pow.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 1)
(+.f64 0 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(pow.f64 (sqrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 2)
(+.f64 0 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 3)
(+.f64 0 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(pow.f64 (pow.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 3) 1/3)
(+.f64 0 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) -1)
(+.f64 0 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(neg.f64 (/.f64 (log1p.f64 (neg.f64 x)) (neg.f64 (log1p.f64 x))))
(+.f64 0 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(sqrt.f64 (pow.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 2))
(fabs.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(log.f64 (pow.f64 (-.f64 1 x) (/.f64 1 (log1p.f64 x))))
(+.f64 0 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))))
(+.f64 0 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(cbrt.f64 (pow.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 3))
(+.f64 0 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(expm1.f64 (log1p.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
(+.f64 0 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(exp.f64 (log.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
(+.f64 0 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
(+.f64 0 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))

Compiler

Compiled 15 to 5 computations (66.7% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
1.0ms	x	@	inf	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
0.0ms	x	@	0	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))

rewrite54.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1230×	`add-sqr-sqrt`
1218×	`*-un-lft-identity`
1130×	`add-cube-cbrt`
1116×	`add-cbrt-cube`
1102×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	164	15
2	2173	15

Stop Event

1×	node limit

Counts

1 → 30

Calls

Call 1

Inputs
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))

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

Outputs

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

simplify59.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1220×	`associate-/r*`
996×	`fma-def`
742×	`times-frac`
598×	`associate-/l*`
584×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	188	2430
1	601	2216
2	1969	2030

Stop Event

1×	node limit

Counts

42 → 73

Calls

Call 1

Inputs
-1
(-.f64 (*.f64 -1 x) 1)
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3)))) 1)
(.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (log.f64 (/.f64 1 x)))) (/.f64 2 (.f64 (log.f64 (/.f64 1 x)) x))) (/.f64 (log.f64 -1) (.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) x)))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 (log.f64 (/.f64 1 x)) x))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)))) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (log.f64 (/.f64 1 x)))))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 2 (/.f64 1 (log.f64 (/.f64 1 x)))) (/.f64 (log.f64 -1) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)))) (+.f64 (/.f64 (log.f64 -1) (.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) x)) (.f64 -1/2 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 x 2)))))))
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(.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
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(-.f64 (+.f64 1 (/.f64 (log1p.f64 x) (log1p.f64 x))) 1)
(*.f64 (log1p.f64 x) (/.f64 1 (log1p.f64 x)))
(*.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 1)
(*.f64 1 (/.f64 (log1p.f64 x) (log1p.f64 x)))
(*.f64 (sqrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) (sqrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
(.f64 (sqrt.f64 (log1p.f64 x)) (.f64 (sqrt.f64 (log1p.f64 x)) (/.f64 1 (log1p.f64 x))))
(*.f64 (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 2) (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
(.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (.f64 (cbrt.f64 (log1p.f64 x)) (/.f64 1 (log1p.f64 x))))
(*.f64 (/.f64 1 (log1p.f64 x)) (log1p.f64 x))
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(*.f64 (/.f64 1 (sqrt.f64 (log1p.f64 x))) (/.f64 (log1p.f64 x) (sqrt.f64 (log1p.f64 x))))
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(*.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) 1) (/.f64 (sqrt.f64 (log1p.f64 x)) (log1p.f64 x)))
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) 1) (/.f64 (cbrt.f64 (log1p.f64 x)) (log1p.f64 x)))
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(pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 1)
(pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) -1)
(pow.f64 (sqrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 2)
(pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 3) 1/3)
(neg.f64 (/.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 2))
(log.f64 (exp.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
(cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
(exp.f64 (log.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))

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

eval176.0ms (1.6%)

Compiler: Compiled 9857 to 6829 computations (30.7% saved)

prune47.0ms (0.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	334	7	341
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	335	8	343

Error

Counts

343 → 8

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) -1)
✓	0.0b	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
▶	61.5b	(/.f64 (log1p.f64 (neg.f64 x)) (log.f64 (+.f64 1 x)))
▶	0.5b	(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
▶	0.8b	(-.f64 -1 x)
	0.3b	(+.f64 (.f64 (pow.f64 x 3) -5/12) (fma.f64 -1/2 (.f64 x x) (-.f64 -1 x)))
▶	0.2b	(*.f64 (/.f64 1 (log1p.f64 x)) (log1p.f64 (neg.f64 x)))
	1.6b	-1

Compiler

Compiled 119 to 89 computations (25.2% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) -1)
✓	0.0b	(/.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))

Compiler

Compiled 24 to 8 computations (66.7% saved)

series12.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	(pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) -1)
4.0ms	x	@	inf	(pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) -1)
2.0ms	x	@	inf	(/.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))
1.0ms	x	@	-inf	(/.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))
0.0ms	x	@	0	(/.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))

rewrite57.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1394×	`add-sqr-sqrt`
1372×	`*-un-lft-identity`
1282×	`add-cube-cbrt`
1268×	`add-cbrt-cube`
1258×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	38
1	208	30
2	2658	30

Stop Event

1×	node limit

Counts

2 → 80

Calls

Call 1

Inputs
(/.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))
(pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) -1)

Outputs

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

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

simplify90.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1294×	`associate-*r/`
1020×	`associate-+l+`
912×	`+-commutative`
710×	`associate-+r+`
596×	`associate-+l-`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	307	7474
1	1007	6454
2	4125	6446

Stop Event

1×	node limit

Counts

104 → 129

Calls

Call 1

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

localize2.0ms (0%)

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

localize8.0ms (0.1%)

Compiler: Compiled 21 to 14 computations (33.3% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (log1p.f64 x))
✓	0.1b	(*.f64 (/.f64 1 (log1p.f64 x)) (log1p.f64 (neg.f64 x)))

Compiler

Compiled 22 to 10 computations (54.5% saved)

series4.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(/.f64 1 (log1p.f64 x))
1.0ms	x	@	inf	(/.f64 1 (log1p.f64 x))
1.0ms	x	@	-inf	(*.f64 (/.f64 1 (log1p.f64 x)) (log1p.f64 (neg.f64 x)))
1.0ms	x	@	inf	(*.f64 (/.f64 1 (log1p.f64 x)) (log1p.f64 (neg.f64 x)))
0.0ms	x	@	0	(/.f64 1 (log1p.f64 x))

rewrite53.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1452×	`add-sqr-sqrt`
1436×	`*-un-lft-identity`
1332×	`add-cube-cbrt`
1312×	`add-cbrt-cube`
1296×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	30
1	196	26
2	2381	26

Stop Event

1×	node limit

Counts

2 → 42

Calls

Call 1

Inputs
(*.f64 (/.f64 1 (log1p.f64 x)) (log1p.f64 (neg.f64 x)))
(/.f64 1 (log1p.f64 x))

Outputs

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

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

simplify65.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

844×	`associate-/l*`
830×	`associate--r+`
824×	`associate-+l+`
794×	`+-commutative`
654×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	268	3938
1	821	3642
2	2955	3638

Stop Event

1×	node limit

Counts

66 → 125

Calls

Call 1

Inputs
-1
(-.f64 (*.f64 -1 x) 1)
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3)))) 1)
(.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (log.f64 (/.f64 1 x)))) (/.f64 2 (.f64 (log.f64 (/.f64 1 x)) x))) (/.f64 (log.f64 -1) (.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) x)))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 (log.f64 (/.f64 1 x)) x))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)))) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (log.f64 (/.f64 1 x)))))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 2 (/.f64 1 (log.f64 (/.f64 1 x)))) (/.f64 (log.f64 -1) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)))) (+.f64 (/.f64 (log.f64 -1) (.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) x)) (.f64 -1/2 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 x 2)))))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 (log.f64 (/.f64 1 x)) x))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)))) (+.f64 (.f64 1/3 (/.f64 1 (.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 3)))) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (log.f64 (/.f64 1 x))))))) (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 2 (/.f64 1 (log.f64 (/.f64 1 x)))) (/.f64 (log.f64 -1) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 3)))) (+.f64 (.f64 1/3 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 x 3)))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 x 2)))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (log.f64 (/.f64 1 x)))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (.f64 -1 (/.f64 (-.f64 (.f64 2 (/.f64 1 (log.f64 (/.f64 1 x)))) (/.f64 (log.f64 -1) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (log.f64 (/.f64 1 x)))))) (.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 3)))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 2 (/.f64 1 (log.f64 (/.f64 1 x)))) (/.f64 (log.f64 -1) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)))) (/.f64 (log.f64 -1) (.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) x))))))))
(.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) x)))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (.f64 1/2 (/.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) (pow.f64 x 2))) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) x))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (.f64 1/2 (/.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) (pow.f64 x 2))) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) x)) (.f64 -1 (/.f64 (-.f64 (.f64 1/3 (/.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3))) (+.f64 (.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (+.f64 (.f64 1/3 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))))) (pow.f64 x 3))))))
(/.f64 1 x)
(+.f64 1/2 (/.f64 1 x))
(+.f64 1/2 (+.f64 (*.f64 -1/12 x) (/.f64 1 x)))
(+.f64 1/2 (+.f64 (.f64 -1/12 x) (+.f64 (.f64 1/24 (pow.f64 x 2)) (/.f64 1 x))))
(/.f64 -1 (log.f64 (/.f64 1 x)))
(neg.f64 (+.f64 (/.f64 1 (log.f64 (/.f64 1 x))) (/.f64 1 (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) x))))
(-.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 x 2)))) (+.f64 (/.f64 1 (log.f64 (/.f64 1 x))) (+.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) x)) (/.f64 1 (.f64 (pow.f64 (log.f64 (/.f64 1 x)) 3) (pow.f64 x 2))))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (log.f64 (/.f64 1 x)) 3) (pow.f64 x 3)))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 x 2))))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2))) (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 3))) (.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 3)))) (+.f64 (/.f64 1 (log.f64 (/.f64 1 x))) (+.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) x)) (+.f64 (.f64 1/3 (/.f64 1 (.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 x 3)))) (/.f64 1 (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 3) (pow.f64 x 2))))))))
(/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(-.f64 (/.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (/.f64 1 (.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2) x)))
(-.f64 (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3) (pow.f64 x 2))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2) (pow.f64 x 2)))) (/.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (/.f64 1 (.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2) x)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3))) (.f64 1/3 (/.f64 1 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2)))) (.f64 -1 (/.f64 (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (/.f64 1 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (pow.f64 x 3))) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3) (pow.f64 x 2))) (+.f64 (/.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2) (pow.f64 x 2))))))) (/.f64 1 (.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2) x)))
(-.f64 (+.f64 1 (/.f64 (log1p.f64 x) (log1p.f64 x))) 1)
(/.f64 1 (/.f64 (log1p.f64 x) (log1p.f64 x)))
(/.f64 (log1p.f64 x) (log1p.f64 x))
(/.f64 (sqrt.f64 (log1p.f64 x)) (/.f64 (log1p.f64 x) (sqrt.f64 (log1p.f64 x))))
(/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (/.f64 (log1p.f64 x) (cbrt.f64 (log1p.f64 x))))
(/.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))
(/.f64 (*.f64 (log1p.f64 x) -1) (neg.f64 (log1p.f64 x)))
(/.f64 (/.f64 (log1p.f64 x) (sqrt.f64 (log1p.f64 x))) (sqrt.f64 (log1p.f64 x)))
(/.f64 (/.f64 (log1p.f64 x) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (cbrt.f64 (log1p.f64 x)))
(pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 1)
(pow.f64 (sqrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 2)
(pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 2))
(log.f64 (exp.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
(cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
(exp.f64 (log.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 1))
(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
(-.f64 (+.f64 1 (/.f64 1 (log1p.f64 x))) 1)
(*.f64 1 (/.f64 1 (log1p.f64 x)))
(*.f64 (/.f64 1 (log1p.f64 x)) 1)
(*.f64 (pow.f64 (log1p.f64 x) -1/2) (pow.f64 (log1p.f64 x) -1/2))
(*.f64 (cbrt.f64 (/.f64 1 (log1p.f64 x))) (cbrt.f64 (pow.f64 (log1p.f64 x) -2)))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) -2)) (cbrt.f64 (/.f64 1 (log1p.f64 x))))
(*.f64 -1 (/.f64 1 (neg.f64 (log1p.f64 x))))
(*.f64 (pow.f64 (sqrt.f64 (log1p.f64 x)) -1) (pow.f64 (sqrt.f64 (log1p.f64 x)) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) -1) (pow.f64 (cbrt.f64 (log1p.f64 x)) -1))
(pow.f64 (log1p.f64 x) -1)
(pow.f64 (/.f64 1 (log1p.f64 x)) 1)
(pow.f64 (pow.f64 (log1p.f64 x) -1/2) 2)
(pow.f64 (cbrt.f64 (/.f64 1 (log1p.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 1 (log1p.f64 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (log1p.f64 x) -2))
(log.f64 (exp.f64 (/.f64 1 (log1p.f64 x))))
(cbrt.f64 (pow.f64 (/.f64 1 (log1p.f64 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (log1p.f64 x))))
(exp.f64 (neg.f64 (log.f64 (log1p.f64 x))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 x)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (log1p.f64 x))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (log1p.f64 x))))

Outputs
-1
(-.f64 (*.f64 -1 x) 1)
(fma.f64 -1 x -1)
(-.f64 -1 x)
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -1 x -1))
(fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x))
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3)))) 1)
(+.f64 (fma.f64 -1/2 (.f64 x x) (fma.f64 -1 x (.f64 -5/12 (pow.f64 x 3)))) -1)
(+.f64 -1 (fma.f64 -1/2 (.f64 x x) (-.f64 (.f64 -5/12 (pow.f64 x 3)) x)))
(+.f64 -1 (fma.f64 -1/2 (*.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) (neg.f64 x))))
(.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (log.f64 (/.f64 1 x))))
(neg.f64 (/.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)) (neg.f64 (log.f64 x))))
(neg.f64 (/.f64 (+.f64 (log.f64 -1) (log.f64 x)) (neg.f64 (log.f64 x))))
(/.f64 (neg.f64 (+.f64 (log.f64 -1) (log.f64 x))) (neg.f64 (log.f64 x)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (log.f64 (/.f64 1 x)))) (/.f64 2 (.f64 (log.f64 (/.f64 1 x)) x))) (/.f64 (log.f64 -1) (.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) x)))
(-.f64 (fma.f64 -1 (/.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)) (neg.f64 (log.f64 x))) (/.f64 2 (.f64 x (neg.f64 (log.f64 x))))) (/.f64 (log.f64 -1) (.f64 x (pow.f64 (neg.f64 (log.f64 x)) 2))))
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(+.f64 (/.f64 1/2 (.f64 x (neg.f64 (.f64 x (log.f64 x))))) (+.f64 (-.f64 (/.f64 1/3 (.f64 (pow.f64 x 3) (neg.f64 (log.f64 x)))) (/.f64 (+.f64 (log.f64 -1) (log.f64 x)) (neg.f64 (log.f64 x)))) (-.f64 (/.f64 2 (neg.f64 (.f64 x (log.f64 x)))) (fma.f64 1/2 (/.f64 (-.f64 (/.f64 2 (.f64 (log.f64 x) (log.f64 x))) (/.f64 (log.f64 -1) (pow.f64 (neg.f64 (log.f64 x)) 3))) (pow.f64 x 3)) (fma.f64 1/3 (/.f64 (/.f64 (+.f64 (log.f64 -1) (log.f64 x)) (.f64 (log.f64 x) (log.f64 x))) (pow.f64 x 3)) (-.f64 (-.f64 (fma.f64 -1/2 (/.f64 (/.f64 (+.f64 (log.f64 -1) (log.f64 x)) (.f64 (log.f64 x) (log.f64 x))) (.f64 x x)) (/.f64 (/.f64 (log.f64 -1) (.f64 (log.f64 x) (log.f64 x))) x)) (/.f64 (-.f64 (/.f64 2 (.f64 (log.f64 x) (log.f64 x))) (/.f64 (log.f64 -1) (pow.f64 (neg.f64 (log.f64 x)) 3))) (.f64 x x))) (/.f64 (+.f64 (-.f64 (/.f64 1/2 (neg.f64 (log.f64 x))) (/.f64 (+.f64 (log.f64 -1) (log.f64 x)) (/.f64 (.f64 (log.f64 x) (log.f64 x)) -1/2))) (-.f64 (/.f64 2 (.f64 (log.f64 x) (log.f64 x))) (/.f64 (log.f64 -1) (pow.f64 (neg.f64 (log.f64 x)) 3)))) (.f64 (pow.f64 x 3) (neg.f64 (log.f64 x))))))))))
(.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(/.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(/.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
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(+.f64 (/.f64 (/.f64 1 (.f64 x x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3)) (+.f64 (/.f64 1/2 (.f64 (.f64 x x) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2))) (+.f64 (/.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (/.f64 -1 (.f64 x (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2))))))
(+.f64 (/.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (+.f64 (+.f64 (/.f64 (/.f64 1 (.f64 x x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3)) (/.f64 1/2 (.f64 (.f64 x x) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)))) (/.f64 -1 (.f64 x (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3))) (.f64 1/3 (/.f64 1 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2)))) (.f64 -1 (/.f64 (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (/.f64 1 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (pow.f64 x 3))) (+.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3) (pow.f64 x 2))) (+.f64 (/.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2) (pow.f64 x 2))))))) (/.f64 1 (.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2) x)))
(-.f64 (fma.f64 -1 (/.f64 (-.f64 (+.f64 (/.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 3)) (/.f64 1/3 (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2))) (neg.f64 (/.f64 (+.f64 (/.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2)) (/.f64 1 (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 3))) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))) (pow.f64 x 3)) (+.f64 (/.f64 1 (.f64 (.f64 x x) (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 3))) (+.f64 (/.f64 1 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (/.f64 1/2 (.f64 (.f64 x x) (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2)))))) (/.f64 1 (*.f64 x (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2))))
(+.f64 (-.f64 (+.f64 (/.f64 (/.f64 1 (.f64 x x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3)) (+.f64 (/.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (/.f64 1/2 (.f64 (.f64 x x) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2))))) (/.f64 (+.f64 (+.f64 (/.f64 1/2 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3)) (/.f64 1/3 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2))) (/.f64 (+.f64 (/.f64 1/2 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 3))) (/.f64 -1 (.f64 x (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2))))
(-.f64 (+.f64 (/.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (+.f64 (/.f64 (/.f64 1 (.f64 x x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3)) (/.f64 1/2 (.f64 (*.f64 x x) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2))))) (+.f64 (/.f64 (+.f64 (/.f64 1/2 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3)) (+.f64 (/.f64 1/3 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 (+.f64 (/.f64 1/2 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) (pow.f64 x 3)) (/.f64 (/.f64 1 x) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2))))
(-.f64 (+.f64 1 (/.f64 (log1p.f64 x) (log1p.f64 x))) 1)
1
(/.f64 1 (/.f64 (log1p.f64 x) (log1p.f64 x)))
1
(/.f64 (log1p.f64 x) (log1p.f64 x))
1
(/.f64 (sqrt.f64 (log1p.f64 x)) (/.f64 (log1p.f64 x) (sqrt.f64 (log1p.f64 x))))
1
(/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (/.f64 (log1p.f64 x) (cbrt.f64 (log1p.f64 x))))
1
(/.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))
1
(/.f64 (*.f64 (log1p.f64 x) -1) (neg.f64 (log1p.f64 x)))
1
(/.f64 (/.f64 (log1p.f64 x) (sqrt.f64 (log1p.f64 x))) (sqrt.f64 (log1p.f64 x)))
1
(/.f64 (/.f64 (log1p.f64 x) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (cbrt.f64 (log1p.f64 x)))
1
(pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 1)
1
(pow.f64 (sqrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 2)
1
(pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 3)
1
(pow.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 3) 1/3)
1
(sqrt.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 2))
1
(log.f64 (exp.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
1
(cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 3))
1
(expm1.f64 (log1p.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
1
(exp.f64 (log.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
1
(exp.f64 (*.f64 (log.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 1))
1
(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
1
(-.f64 (+.f64 1 (/.f64 1 (log1p.f64 x))) 1)
(+.f64 1 (-.f64 (/.f64 1 (log1p.f64 x)) 1))
(+.f64 (/.f64 1 (log1p.f64 x)) 0)
(*.f64 1 (/.f64 1 (log1p.f64 x)))
(/.f64 1 (log1p.f64 x))
(*.f64 (/.f64 1 (log1p.f64 x)) 1)
(/.f64 1 (log1p.f64 x))
(*.f64 (pow.f64 (log1p.f64 x) -1/2) (pow.f64 (log1p.f64 x) -1/2))
(/.f64 1 (log1p.f64 x))
(*.f64 (cbrt.f64 (/.f64 1 (log1p.f64 x))) (cbrt.f64 (pow.f64 (log1p.f64 x) -2)))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) -2)) (cbrt.f64 (/.f64 1 (log1p.f64 x))))
(*.f64 (cbrt.f64 (/.f64 1 (log1p.f64 x))) (cbrt.f64 (pow.f64 (log1p.f64 x) -2)))
(*.f64 -1 (/.f64 1 (neg.f64 (log1p.f64 x))))
(/.f64 1 (log1p.f64 x))
(*.f64 (pow.f64 (sqrt.f64 (log1p.f64 x)) -1) (pow.f64 (sqrt.f64 (log1p.f64 x)) -1))
(/.f64 1 (log1p.f64 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) -1) (pow.f64 (cbrt.f64 (log1p.f64 x)) -1))
(/.f64 1 (log1p.f64 x))
(pow.f64 (log1p.f64 x) -1)
(/.f64 1 (log1p.f64 x))
(pow.f64 (/.f64 1 (log1p.f64 x)) 1)
(/.f64 1 (log1p.f64 x))
(pow.f64 (pow.f64 (log1p.f64 x) -1/2) 2)
(/.f64 1 (log1p.f64 x))
(pow.f64 (cbrt.f64 (/.f64 1 (log1p.f64 x))) 3)
(/.f64 1 (log1p.f64 x))
(pow.f64 (pow.f64 (/.f64 1 (log1p.f64 x)) 3) 1/3)
(/.f64 1 (log1p.f64 x))
(sqrt.f64 (pow.f64 (log1p.f64 x) -2))
(log.f64 (exp.f64 (/.f64 1 (log1p.f64 x))))
(/.f64 1 (log1p.f64 x))
(cbrt.f64 (pow.f64 (/.f64 1 (log1p.f64 x)) 3))
(/.f64 1 (log1p.f64 x))
(expm1.f64 (log1p.f64 (/.f64 1 (log1p.f64 x))))
(/.f64 1 (log1p.f64 x))
(exp.f64 (neg.f64 (log.f64 (log1p.f64 x))))
(/.f64 1 (log1p.f64 x))
(exp.f64 (*.f64 (log.f64 (log1p.f64 x)) -1))
(/.f64 1 (log1p.f64 x))
(exp.f64 (*.f64 (neg.f64 (log.f64 (log1p.f64 x))) 1))
(/.f64 1 (log1p.f64 x))
(log1p.f64 (expm1.f64 (/.f64 1 (log1p.f64 x))))
(/.f64 1 (log1p.f64 x))

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (log1p.f64 (neg.f64 x)) (log.f64 (+.f64 1 x)))
	6.6b	(log.f64 (+.f64 1 x))

Compiler

Compiled 23 to 13 computations (43.5% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(/.f64 (log1p.f64 (neg.f64 x)) (log.f64 (+.f64 1 x)))
1.0ms	x	@	-inf	(/.f64 (log1p.f64 (neg.f64 x)) (log.f64 (+.f64 1 x)))
0.0ms	x	@	0	(/.f64 (log1p.f64 (neg.f64 x)) (log.f64 (+.f64 1 x)))

rewrite52.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1620×	`add-sqr-sqrt`
1604×	`*-un-lft-identity`
1494×	`add-cube-cbrt`
1478×	`add-cbrt-cube`
194×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	19
1	203	15
2	2696	15

Stop Event

1×	node limit

Counts

1 → 32

Calls

Call 1

Inputs
(/.f64 (log1p.f64 (neg.f64 x)) (log.f64 (+.f64 1 x)))

Outputs

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

simplify52.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1222×	`associate-/r*`
996×	`fma-def`
742×	`times-frac`
590×	`associate-/l*`
582×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	192	2432
1	602	2218
2	1968	2032

Stop Event

1×	node limit

Counts

44 → 75

Calls

Call 1

Inputs
-1
(-.f64 (*.f64 -1 x) 1)
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3)))) 1)
(.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (log.f64 (/.f64 1 x)))) (/.f64 2 (.f64 (log.f64 (/.f64 1 x)) x))) (/.f64 (log.f64 -1) (.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) x)))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 (log.f64 (/.f64 1 x)) x))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)))) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (log.f64 (/.f64 1 x)))))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 2 (/.f64 1 (log.f64 (/.f64 1 x)))) (/.f64 (log.f64 -1) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)))) (+.f64 (/.f64 (log.f64 -1) (.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) x)) (.f64 -1/2 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 x 2)))))))
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(*.f64 1 (/.f64 (log1p.f64 x) (log1p.f64 x)))
(*.f64 (log1p.f64 x) (/.f64 1 (log1p.f64 x)))
(*.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 1)
(.f64 (sqrt.f64 (log1p.f64 x)) (.f64 (sqrt.f64 (log1p.f64 x)) (/.f64 1 (log1p.f64 x))))
(*.f64 (sqrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) (sqrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
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(*.f64 (/.f64 1 (log1p.f64 x)) (log1p.f64 x))
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(pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 1)
(pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) -1)
(pow.f64 (sqrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 2)
(pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 3) 1/3)
(neg.f64 (/.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 2))
(log.f64 (exp.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
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(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))

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

eval821.0ms (7.3%)

Compiler: Compiled 19332 to 13986 computations (27.7% saved)

prune60.0ms (0.5%)

Pruning

10 alts after pruning (4 fresh and 6 done)

	Pruned	Kept	Total
New	413	2	415
Fresh	0	2	2
Picked	0	1	1
Done	0	5	5
Total	413	10	423

Error

Counts

423 → 10

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) -1)
▶	0.8b	(pow.f64 (-.f64 x 1) -1)
✓	0.0b	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
✓	61.5b	(/.f64 (log1p.f64 (neg.f64 x)) (log.f64 (+.f64 1 x)))
✓	0.5b	(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
✓	0.8b	(-.f64 -1 x)
▶	0.3b	(+.f64 (.f64 (pow.f64 x 3) -5/12) (fma.f64 -1/2 (.f64 x x) (-.f64 -1 x)))
✓	0.2b	(*.f64 (/.f64 1 (log1p.f64 x)) (log1p.f64 (neg.f64 x)))
▶	0.5b	(.f64 (+.f64 1/2 (+.f64 (.f64 -1/12 x) (/.f64 1 x))) (log1p.f64 (neg.f64 x)))
	1.6b	-1

Compiler

Compiled 84 to 64 computations (23.8% saved)

localize96.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1/2 (+.f64 (*.f64 -1/12 x) (/.f64 1 x)))
✓	0.0b	(+.f64 (*.f64 -1/12 x) (/.f64 1 x))
✓	0.1b	(.f64 (+.f64 1/2 (+.f64 (.f64 -1/12 x) (/.f64 1 x))) (log1p.f64 (neg.f64 x)))
✓	0.4b	(*.f64 -1/12 x)

Compiler

Compiled 45 to 30 computations (33.3% saved)

series5.0ms (0%)

Counts

4 → 21

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(*.f64 -1/12 x)
1.0ms	x	@	inf	(.f64 (+.f64 1/2 (+.f64 (.f64 -1/12 x) (/.f64 1 x))) (log1p.f64 (neg.f64 x)))
0.0ms	x	@	-inf	(.f64 (+.f64 1/2 (+.f64 (.f64 -1/12 x) (/.f64 1 x))) (log1p.f64 (neg.f64 x)))
0.0ms	x	@	inf	(*.f64 -1/12 x)
0.0ms	x	@	-inf	(*.f64 -1/12 x)

rewrite331.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1524×	`associate-*l/`
1390×	`distribute-lft-in`
662×	`associate-/r*`
348×	`associate-/r/`
302×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	78
1	302	74
2	3921	74

Stop Event

1×	node limit

Counts

4 → 281

Calls

Call 1

Inputs
(*.f64 -1/12 x)
(.f64 (+.f64 1/2 (+.f64 (.f64 -1/12 x) (/.f64 1 x))) (log1p.f64 (neg.f64 x)))
(+.f64 (*.f64 -1/12 x) (/.f64 1 x))
(+.f64 1/2 (+.f64 (*.f64 -1/12 x) (/.f64 1 x)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 -1/12 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 -1/12 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/12 (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 -1/12 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 -1/12 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 x) -1/12) (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) -1/12) (/.f64 1 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 0 (.f64 x x)) -1/12) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 0 (pow.f64 x 3)) -1/12) (+.f64 0 (+.f64 (.f64 x x) (.f64 0 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 -1/12 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 -1/12 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 -1/12 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 -1/1728 (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (.f64 x x) 1/144))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) -1/12))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 -1/12 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 -1/1728 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 -1/12 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 -1/12 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 -1/12 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 -1/12 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (log1p.f64 x) 1/2) (.f64 (log1p.f64 x) (fma.f64 -1/12 x (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (log1p.f64 x) (fma.f64 -1/12 x (/.f64 1 x))) (.f64 (log1p.f64 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (log1p.f64 x) (+.f64 (.f64 -1/12 x) 1/2)) (.f64 (log1p.f64 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (log1p.f64 x) (/.f64 1 x)) (.f64 (log1p.f64 x) (+.f64 (.f64 -1/12 x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/2 (log1p.f64 x)) (.f64 (fma.f64 -1/12 x (/.f64 1 x)) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (fma.f64 -1/12 x (/.f64 1 x)) (log1p.f64 x)) (.f64 1/2 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 (.f64 -1/12 x) 1/2) (log1p.f64 x)) (/.f64 (log1p.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (log1p.f64 x) x) (.f64 (+.f64 (.f64 -1/12 x) 1/2) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (log1p.f64 x) (.f64 -1/12 x)) (.f64 (log1p.f64 x) (+.f64 1/2 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1 (.f64 (log1p.f64 x) 1/2)) (.f64 1 (.f64 (log1p.f64 x) (fma.f64 -1/12 x (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1 (.f64 (log1p.f64 x) (fma.f64 -1/12 x (/.f64 1 x)))) (.f64 1 (.f64 (log1p.f64 x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1 (.f64 (log1p.f64 x) (+.f64 (.f64 -1/12 x) 1/2))) (.f64 1 (.f64 (log1p.f64 x) (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1 (.f64 1/2 (log1p.f64 x))) (.f64 1 (.f64 (fma.f64 -1/12 x (/.f64 1 x)) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1 (.f64 (fma.f64 -1/12 x (/.f64 1 x)) (log1p.f64 x))) (.f64 1 (.f64 1/2 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1 (.f64 (+.f64 (.f64 -1/12 x) 1/2) (log1p.f64 x))) (.f64 1 (/.f64 (log1p.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (log1p.f64 x) (+.f64 1/2 (/.f64 1 x))) (.f64 (log1p.f64 x) (.f64 -1/12 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (log1p.f64 x) (.f64 (+.f64 (.f64 -1/12 x) 1/2) 1)) (.f64 (log1p.f64 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (+.f64 1/2 (fma.f64 -1/12 x (/.f64 1 x))) (log1p.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log1p.f64 x) (/.f64 1 (+.f64 1/2 (fma.f64 -1/12 x (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/4 (pow.f64 (fma.f64 -1/12 x (/.f64 1 x)) 2)) (/.f64 (-.f64 1/2 (fma.f64 -1/12 x (/.f64 1 x))) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/8 (pow.f64 (fma.f64 -1/12 x (/.f64 1 x)) 3)) (/.f64 (+.f64 1/4 (.f64 (fma.f64 -1/12 x (/.f64 1 x)) (-.f64 (fma.f64 -1/12 x (/.f64 1 x)) 1/2))) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (log1p.f64 x) (-.f64 1/4 (pow.f64 (fma.f64 -1/12 x (/.f64 1 x)) 2))) (-.f64 1/2 (fma.f64 -1/12 x (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (log1p.f64 x) (+.f64 1/8 (pow.f64 (fma.f64 -1/12 x (/.f64 1 x)) 3))) (+.f64 1/4 (.f64 (fma.f64 -1/12 x (/.f64 1 x)) (-.f64 (fma.f64 -1/12 x (/.f64 1 x)) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1/4 (pow.f64 (fma.f64 -1/12 x (/.f64 1 x)) 2)) (log1p.f64 x)) (-.f64 1/2 (fma.f64 -1/12 x (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 1/8 (pow.f64 (fma.f64 -1/12 x (/.f64 1 x)) 3)) (log1p.f64 x)) (+.f64 1/4 (.f64 (fma.f64 -1/12 x (/.f64 1 x)) (-.f64 (fma.f64 -1/12 x (/.f64 1 x)) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (pow.f64 (fma.f64 -1/12 x (/.f64 1 x)) 2) 1/4) (log1p.f64 x)) (-.f64 (fma.f64 -1/12 x (/.f64 1 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (.f64 (+.f64 (.f64 -1/12 x) 1/2) (+.f64 (.f64 -1/12 x) 1/2)) (pow.f64 x -2)) (log1p.f64 x)) (+.f64 1/2 (fma.f64 -1/12 x (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (pow.f64 x -3) (pow.f64 (+.f64 (.f64 -1/12 x) 1/2) 3)) (log1p.f64 x)) (+.f64 (.f64 (+.f64 (.f64 -1/12 x) 1/2) (+.f64 (.f64 -1/12 x) 1/2)) (-.f64 (pow.f64 x -2) (.f64 (+.f64 (.f64 -1/12 x) 1/2) (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 (-.f64 1/4 (pow.f64 (fma.f64 -1/12 x (/.f64 1 x)) 2))) (log1p.f64 x)) (neg.f64 (-.f64 1/2 (fma.f64 -1/12 x (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 (+.f64 1/8 (pow.f64 (fma.f64 -1/12 x (/.f64 1 x)) 3))) (log1p.f64 x)) (neg.f64 (+.f64 1/4 (.f64 (fma.f64 -1/12 x (/.f64 1 x)) (-.f64 (fma.f64 -1/12 x (/.f64 1 x)) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (log1p.f64 x) (-.f64 1/4 (pow.f64 (fma.f64 -1/12 x (/.f64 1 x)) 2))) 1) (-.f64 1/2 (fma.f64 -1/12 x (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 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x)) (-.f64 (fma.f64 -1/12 x (/.f64 1 x)) 1/2))))) (sqrt.f64 (+.f64 1/4 (.f64 (fma.f64 -1/12 x (/.f64 1 x)) (-.f64 (fma.f64 -1/12 x (/.f64 1 x)) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 1/8 (pow.f64 (fma.f64 -1/12 x (/.f64 1 x)) 3)) (.f64 (cbrt.f64 (+.f64 1/4 (.f64 (fma.f64 -1/12 x (/.f64 1 x)) (-.f64 (fma.f64 -1/12 x (/.f64 1 x)) 1/2)))) (cbrt.f64 (+.f64 1/4 (.f64 (fma.f64 -1/12 x (/.f64 1 x)) (-.f64 (fma.f64 -1/12 x (/.f64 1 x)) 1/2)))))) (cbrt.f64 (+.f64 1/4 (.f64 (fma.f64 -1/12 x (/.f64 1 x)) (-.f64 (fma.f64 -1/12 x (/.f64 1 x)) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1/2 (fma.f64 -1/12 x (/.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1/2 (fma.f64 -1/12 x (/.f64 1 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1/2 (fma.f64 -1/12 x (/.f64 1 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1/2 (fma.f64 -1/12 x (/.f64 1 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1/2 (fma.f64 -1/12 x (/.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1/2 (fma.f64 -1/12 x (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 1/2 (fma.f64 -1/12 x (/.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1/2 (fma.f64 -1/12 x (/.f64 1 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (+.f64 3/2 (fma.f64 -1/12 x (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 1/2 (fma.f64 -1/12 x (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (+.f64 1/2 (fma.f64 -1/12 x (/.f64 1 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1/2 (fma.f64 -1/12 x (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 -1/12 x (/.f64 1 x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 -1/12 x (/.f64 1 x))) (sqrt.f64 (fma.f64 -1/12 x (/.f64 1 x))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/12 x (/.f64 1 x))) 2) (cbrt.f64 (fma.f64 -1/12 x (/.f64 1 x))) 1/2)))))

simplify160.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1318×	`associate-/l*`
1188×	`associate-r`
1154×	`associate-l`
770×	`associate-/r*`
670×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	731	16194
1	2155	15800

Stop Event

1×	node limit

Counts

302 → 514

Calls

Call 1

Inputs
-1
(-.f64 (*.f64 -1 x) 1)
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)
(-.f64 (+.f64 (.f64 -3/8 (pow.f64 x 3)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))) 1)
(.f64 -1/12 (.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) x))
(+.f64 (.f64 1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1))) (+.f64 1/12 (.f64 -1/12 (.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) x))))
(-.f64 (+.f64 1/12 (+.f64 (.f64 1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1))) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) x)) (+.f64 (/.f64 (log.f64 -1) x) (.f64 -1/12 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) x)))))) (*.f64 11/24 (/.f64 1 x)))
(-.f64 (+.f64 1/12 (+.f64 (.f64 1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1))) (+.f64 (/.f64 (log.f64 -1) x) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) x)) (.f64 -1/12 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) x)))))) (+.f64 (.f64 11/9 (/.f64 1 (pow.f64 x 2))) (.f64 11/24 (/.f64 1 x))))
(.f64 1/12 (.f64 (log.f64 (/.f64 -1 x)) x))
(+.f64 (.f64 1/12 (.f64 (log.f64 (/.f64 -1 x)) x)) (+.f64 1/12 (*.f64 -1/2 (log.f64 (/.f64 -1 x)))))
(+.f64 (.f64 1/12 (.f64 (log.f64 (/.f64 -1 x)) x)) (+.f64 1/12 (+.f64 (.f64 -1 (/.f64 (+.f64 11/24 (log.f64 (/.f64 -1 x))) x)) (.f64 -1/2 (log.f64 (/.f64 -1 x))))))
(-.f64 (+.f64 (.f64 1/12 (.f64 (log.f64 (/.f64 -1 x)) x)) (+.f64 1/12 (+.f64 (.f64 -1 (/.f64 (+.f64 11/24 (log.f64 (/.f64 -1 x))) x)) (.f64 -1/2 (log.f64 (/.f64 -1 x)))))) (*.f64 11/9 (/.f64 1 (pow.f64 x 2))))
(/.f64 1 x)
(*.f64 -1/12 x)
(*.f64 -1/12 x)
(/.f64 1 x)
(+.f64 1/2 (/.f64 1 x))
(*.f64 -1/12 x)
(+.f64 1/2 (*.f64 -1/12 x))
(*.f64 -1/12 x)
(+.f64 1/2 (*.f64 -1/12 x))
(+.f64 0 (*.f64 -1/12 x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/12 x))) 1)
(/.f64 -1/12 (/.f64 1 x))
(/.f64 (*.f64 -1/12 x) 1)
(/.f64 (*.f64 -1/12 x) -1)
(/.f64 (*.f64 (sqrt.f64 x) -1/12) (pow.f64 x -1/2))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) -1/12) (/.f64 1 (cbrt.f64 x)))
(/.f64 (.f64 (-.f64 0 (.f64 x x)) -1/12) x)
(/.f64 (.f64 (-.f64 0 (pow.f64 x 3)) -1/12) (+.f64 0 (+.f64 (.f64 x x) (*.f64 0 x))))
(pow.f64 (*.f64 -1/12 x) 1)
(pow.f64 (sqrt.f64 (*.f64 -1/12 x)) 2)
(pow.f64 (cbrt.f64 (*.f64 -1/12 x)) 3)
(pow.f64 (*.f64 -1/1728 (pow.f64 x 3)) 1/3)
(sqrt.f64 (.f64 (.f64 x x) 1/144))
(log.f64 (pow.f64 (exp.f64 x) -1/12))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/12 x))))
(cbrt.f64 (*.f64 -1/1728 (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 -1/12 x)))
(exp.f64 (log.f64 (*.f64 -1/12 x)))
(exp.f64 (.f64 (log.f64 (.f64 -1/12 x)) 1))
(log1p.f64 (expm1.f64 (*.f64 -1/12 x)))
(+.f64 (.f64 (log1p.f64 x) 1/2) (.f64 (log1p.f64 x) (fma.f64 -1/12 x (/.f64 1 x))))
(+.f64 (.f64 (log1p.f64 x) (fma.f64 -1/12 x (/.f64 1 x))) (.f64 (log1p.f64 x) 1/2))
(+.f64 (.f64 (log1p.f64 x) (+.f64 (.f64 -1/12 x) 1/2)) (*.f64 (log1p.f64 x) (/.f64 1 x)))
(+.f64 (.f64 (log1p.f64 x) (/.f64 1 x)) (.f64 (log1p.f64 x) (+.f64 (*.f64 -1/12 x) 1/2)))
(+.f64 (.f64 1/2 (log1p.f64 x)) (.f64 (fma.f64 -1/12 x (/.f64 1 x)) (log1p.f64 x)))
(+.f64 (.f64 (fma.f64 -1/12 x (/.f64 1 x)) (log1p.f64 x)) (.f64 1/2 (log1p.f64 x)))
(+.f64 (.f64 (+.f64 (.f64 -1/12 x) 1/2) (log1p.f64 x)) (/.f64 (log1p.f64 x) x))
(+.f64 (/.f64 (log1p.f64 x) x) (.f64 (+.f64 (.f64 -1/12 x) 1/2) (log1p.f64 x)))
(+.f64 (.f64 (log1p.f64 x) (.f64 -1/12 x)) (*.f64 (log1p.f64 x) (+.f64 1/2 (/.f64 1 x))))
(+.f64 (.f64 1 (.f64 (log1p.f64 x) 1/2)) (.f64 1 (.f64 (log1p.f64 x) (fma.f64 -1/12 x (/.f64 1 x)))))
(+.f64 (.f64 1 (.f64 (log1p.f64 x) (fma.f64 -1/12 x (/.f64 1 x)))) (.f64 1 (.f64 (log1p.f64 x) 1/2)))
(+.f64 (.f64 1 (.f64 (log1p.f64 x) (+.f64 (.f64 -1/12 x) 1/2))) (.f64 1 (*.f64 (log1p.f64 x) (/.f64 1 x))))
(+.f64 (.f64 1 (.f64 1/2 (log1p.f64 x))) (.f64 1 (.f64 (fma.f64 -1/12 x (/.f64 1 x)) (log1p.f64 x))))
(+.f64 (.f64 1 (.f64 (fma.f64 -1/12 x (/.f64 1 x)) (log1p.f64 x))) (.f64 1 (.f64 1/2 (log1p.f64 x))))
(+.f64 (.f64 1 (.f64 (+.f64 (.f64 -1/12 x) 1/2) (log1p.f64 x))) (.f64 1 (/.f64 (log1p.f64 x) x)))
(+.f64 (.f64 (log1p.f64 x) (+.f64 1/2 (/.f64 1 x))) (.f64 (log1p.f64 x) (*.f64 -1/12 x)))
(+.f64 (.f64 (log1p.f64 x) (.f64 (+.f64 (.f64 -1/12 x) 1/2) 1)) (.f64 (log1p.f64 x) (/.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 1/2 (fma.f64 -1/12 x (/.f64 1 x))) (log1p.f64 x)))) 1)
(/.f64 (log1p.f64 x) (/.f64 1 (+.f64 1/2 (fma.f64 -1/12 x (/.f64 1 x)))))
(/.f64 (-.f64 1/4 (pow.f64 (fma.f64 -1/12 x (/.f64 1 x)) 2)) (/.f64 (-.f64 1/2 (fma.f64 -1/12 x (/.f64 1 x))) (log1p.f64 x)))
(/.f64 (+.f64 1/8 (pow.f64 (fma.f64 -1/12 x (/.f64 1 x)) 3)) (/.f64 (+.f64 1/4 (*.f64 (fma.f64 -1/12 x (/.f64 1 x)) (-.f64 (fma.f64 -1/12 x (/.f64 1 x)) 1/2))) (log1p.f64 x)))
(/.f64 (*.f64 (log1p.f64 x) (-.f64 1/4 (pow.f64 (fma.f64 -1/12 x (/.f64 1 x)) 2))) (-.f64 1/2 (fma.f64 -1/12 x (/.f64 1 x))))
(/.f64 (.f64 (log1p.f64 x) (+.f64 1/8 (pow.f64 (fma.f64 -1/12 x (/.f64 1 x)) 3))) (+.f64 1/4 (.f64 (fma.f64 -1/12 x (/.f64 1 x)) (-.f64 (fma.f64 -1/12 x (/.f64 1 x)) 1/2))))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 (fma.f64 -1/12 x (/.f64 1 x)) 2)) (log1p.f64 x)) (-.f64 1/2 (fma.f64 -1/12 x (/.f64 1 x))))
(/.f64 (.f64 (+.f64 1/8 (pow.f64 (fma.f64 -1/12 x (/.f64 1 x)) 3)) (log1p.f64 x)) (+.f64 1/4 (.f64 (fma.f64 -1/12 x (/.f64 1 x)) (-.f64 (fma.f64 -1/12 x (/.f64 1 x)) 1/2))))
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 -1/12 x (/.f64 1 x)) 2) 1/4) (log1p.f64 x)) (-.f64 (fma.f64 -1/12 x (/.f64 1 x)) 1/2))
(/.f64 (.f64 (-.f64 (.f64 (+.f64 (.f64 -1/12 x) 1/2) (+.f64 (.f64 -1/12 x) 1/2)) (pow.f64 x -2)) (log1p.f64 x)) (+.f64 1/2 (fma.f64 -1/12 x (/.f64 1 x))))
(/.f64 (.f64 (+.f64 (pow.f64 x -3) (pow.f64 (+.f64 (.f64 -1/12 x) 1/2) 3)) (log1p.f64 x)) (+.f64 (.f64 (+.f64 (.f64 -1/12 x) 1/2) (+.f64 (.f64 -1/12 x) 1/2)) (-.f64 (pow.f64 x -2) (.f64 (+.f64 (*.f64 -1/12 x) 1/2) (/.f64 1 x)))))
(/.f64 (*.f64 (neg.f64 (-.f64 1/4 (pow.f64 (fma.f64 -1/12 x (/.f64 1 x)) 2))) (log1p.f64 x)) (neg.f64 (-.f64 1/2 (fma.f64 -1/12 x (/.f64 1 x)))))
(/.f64 (.f64 (neg.f64 (+.f64 1/8 (pow.f64 (fma.f64 -1/12 x (/.f64 1 x)) 3))) (log1p.f64 x)) (neg.f64 (+.f64 1/4 (.f64 (fma.f64 -1/12 x (/.f64 1 x)) (-.f64 (fma.f64 -1/12 x (/.f64 1 x)) 1/2)))))
(/.f64 (.f64 (.f64 (log1p.f64 x) (-.f64 1/4 (pow.f64 (fma.f64 -1/12 x (/.f64 1 x)) 2))) 1) (-.f64 1/2 (fma.f64 -1/12 x (/.f64 1 x))))
(/.f64 (.f64 (.f64 (log1p.f64 x) (+.f64 1/8 (pow.f64 (fma.f64 -1/12 x (/.f64 1 x)) 3))) 1) (+.f64 1/4 (*.f64 (fma.f64 -1/12 x (/.f64 1 x)) (-.f64 (fma.f64 -1/12 x (/.f64 1 x)) 1/2))))
(/.f64 (.f64 (.f64 (-.f64 1/4 (pow.f64 (fma.f64 -1/12 x (/.f64 1 x)) 2)) (log1p.f64 x)) 1) (-.f64 1/2 (fma.f64 -1/12 x (/.f64 1 x))))
(/.f64 (.f64 (.f64 (+.f64 1/8 (pow.f64 (fma.f64 -1/12 x (/.f64 1 x)) 3)) (log1p.f64 x)) 1) (+.f64 1/4 (*.f64 (fma.f64 -1/12 x (/.f64 1 x)) (-.f64 (fma.f64 -1/12 x (/.f64 1 x)) 1/2))))
(/.f64 (.f64 (sqrt.f64 (-.f64 1/4 (pow.f64 (fma.f64 -1/12 x (/.f64 1 x)) 2))) (.f64 (sqrt.f64 (+.f64 1/2 (fma.f64 -1/12 x (/.f64 1 x)))) (log1p.f64 x))) (sqrt.f64 (-.f64 1/2 (fma.f64 -1/12 x (/.f64 1 x)))))
(/.f64 (.f64 (sqrt.f64 (+.f64 1/8 (pow.f64 (fma.f64 -1/12 x (/.f64 1 x)) 3))) (.f64 (sqrt.f64 (+.f64 1/2 (fma.f64 -1/12 x (/.f64 1 x)))) (log1p.f64 x))) (sqrt.f64 (+.f64 1/4 (*.f64 (fma.f64 -1/12 x (/.f64 1 x)) (-.f64 (fma.f64 -1/12 x (/.f64 1 x)) 1/2)))))
(/.f64 (/.f64 (*.f64 (log1p.f64 x) (-.f64 1/4 (pow.f64 (fma.f64 -1/12 x (/.f64 1 x)) 2))) 1) (-.f64 1/2 (fma.f64 -1/12 x (/.f64 1 x))))
(/.f64 (/.f64 (*.f64 (log1p.f64 x) (-.f64 1/4 (pow.f64 (fma.f64 -1/12 x (/.f64 1 x)) 2))) (sqrt.f64 (-.f64 1/2 (fma.f64 -1/12 x (/.f64 1 x))))) (sqrt.f64 (-.f64 1/2 (fma.f64 -1/12 x (/.f64 1 x)))))
(/.f64 (/.f64 (.f64 (log1p.f64 x) (-.f64 1/4 (pow.f64 (fma.f64 -1/12 x (/.f64 1 x)) 2))) (.f64 (cbrt.f64 (-.f64 1/2 (fma.f64 -1/12 x (/.f64 1 x)))) (cbrt.f64 (-.f64 1/2 (fma.f64 -1/12 x (/.f64 1 x)))))) (cbrt.f64 (-.f64 1/2 (fma.f64 -1/12 x (/.f64 1 x)))))
(/.f64 (/.f64 (.f64 (log1p.f64 x) (+.f64 1/8 (pow.f64 (fma.f64 -1/12 x (/.f64 1 x)) 3))) 1) (+.f64 1/4 (.f64 (fma.f64 -1/12 x (/.f64 1 x)) (-.f64 (fma.f64 -1/12 x (/.f64 1 x)) 1/2))))
(/.f64 (/.f64 (.f64 (log1p.f64 x) (+.f64 1/8 (pow.f64 (fma.f64 -1/12 x (/.f64 1 x)) 3))) (sqrt.f64 (+.f64 1/4 (.f64 (fma.f64 -1/12 x (/.f64 1 x)) (-.f64 (fma.f64 -1/12 x (/.f64 1 x)) 1/2))))) (sqrt.f64 (+.f64 1/4 (*.f64 (fma.f64 -1/12 x (/.f64 1 x)) (-.f64 (fma.f64 -1/12 x (/.f64 1 x)) 1/2)))))
(/.f64 (/.f64 (.f64 (log1p.f64 x) (+.f64 1/8 (pow.f64 (fma.f64 -1/12 x (/.f64 1 x)) 3))) (.f64 (cbrt.f64 (+.f64 1/4 (.f64 (fma.f64 -1/12 x (/.f64 1 x)) (-.f64 (fma.f64 -1/12 x (/.f64 1 x)) 1/2)))) (cbrt.f64 (+.f64 1/4 (.f64 (fma.f64 -1/12 x (/.f64 1 x)) (-.f64 (fma.f64 -1/12 x (/.f64 1 x)) 1/2)))))) (cbrt.f64 (+.f64 1/4 (*.f64 (fma.f64 -1/12 x (/.f64 1 x)) (-.f64 (fma.f64 -1/12 x (/.f64 1 x)) 1/2)))))
(/.f64 (/.f64 (*.f64 (-.f64 1/4 (pow.f64 (fma.f64 -1/12 x (/.f64 1 x)) 2)) (log1p.f64 x)) 1) (-.f64 1/2 (fma.f64 -1/12 x (/.f64 1 x))))
(/.f64 (/.f64 (*.f64 (-.f64 1/4 (pow.f64 (fma.f64 -1/12 x (/.f64 1 x)) 2)) (log1p.f64 x)) (sqrt.f64 (-.f64 1/2 (fma.f64 -1/12 x (/.f64 1 x))))) (sqrt.f64 (-.f64 1/2 (fma.f64 -1/12 x (/.f64 1 x)))))
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(/.f64 (*.f64 (cbrt.f64 (-.f64 1/4 (pow.f64 (fma.f64 -1/12 x (/.f64 1 x)) 2))) (pow.f64 (cbrt.f64 (+.f64 1/2 (fma.f64 -1/12 x (/.f64 1 x)))) 2)) (cbrt.f64 (-.f64 1/2 (fma.f64 -1/12 x (/.f64 1 x)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 1/8 (pow.f64 (fma.f64 -1/12 x (/.f64 1 x)) 3))) (pow.f64 (cbrt.f64 (+.f64 1/2 (fma.f64 -1/12 x (/.f64 1 x)))) 2)) (cbrt.f64 (+.f64 1/4 (.f64 (fma.f64 -1/12 x (/.f64 1 x)) (-.f64 (fma.f64 -1/12 x (/.f64 1 x)) 1/2)))))
(/.f64 (.f64 (-.f64 1/16 (.f64 (pow.f64 (fma.f64 -1/12 x (/.f64 1 x)) 2) (pow.f64 (fma.f64 -1/12 x (/.f64 1 x)) 2))) (/.f64 1 (-.f64 1/2 (fma.f64 -1/12 x (/.f64 1 x))))) (+.f64 (pow.f64 (fma.f64 -1/12 x (/.f64 1 x)) 2) 1/4))
(/.f64 (.f64 (-.f64 1/64 (pow.f64 (pow.f64 (fma.f64 -1/12 x (/.f64 1 x)) 2) 3)) (/.f64 1 (-.f64 1/2 (fma.f64 -1/12 x (/.f64 1 x))))) (+.f64 1/16 (+.f64 (.f64 (pow.f64 (fma.f64 -1/12 x (/.f64 1 x)) 2) (pow.f64 (fma.f64 -1/12 x (/.f64 1 x)) 2)) (*.f64 1/4 (pow.f64 (fma.f64 -1/12 x (/.f64 1 x)) 2)))))
(/.f64 (.f64 (-.f64 1/64 (.f64 (pow.f64 (fma.f64 -1/12 x (/.f64 1 x)) 3) (pow.f64 (fma.f64 -1/12 x (/.f64 1 x)) 3))) (/.f64 1 (+.f64 1/4 (*.f64 (fma.f64 -1/12 x (/.f64 1 x)) (-.f64 (fma.f64 -1/12 x (/.f64 1 x)) 1/2))))) (-.f64 1/8 (pow.f64 (fma.f64 -1/12 x (/.f64 1 x)) 3)))
(/.f64 (.f64 (+.f64 1/512 (pow.f64 (pow.f64 (fma.f64 -1/12 x (/.f64 1 x)) 3) 3)) (/.f64 1 (+.f64 1/4 (.f64 (fma.f64 -1/12 x (/.f64 1 x)) (-.f64 (fma.f64 -1/12 x (/.f64 1 x)) 1/2))))) (+.f64 1/64 (-.f64 (.f64 (pow.f64 (fma.f64 -1/12 x (/.f64 1 x)) 3) (pow.f64 (fma.f64 -1/12 x (/.f64 1 x)) 3)) (.f64 1/8 (pow.f64 (fma.f64 -1/12 x (/.f64 1 x)) 3)))))
(/.f64 (/.f64 (-.f64 1/4 (pow.f64 (fma.f64 -1/12 x (/.f64 1 x)) 2)) 1) (-.f64 1/2 (fma.f64 -1/12 x (/.f64 1 x))))
(/.f64 (/.f64 (-.f64 1/4 (pow.f64 (fma.f64 -1/12 x (/.f64 1 x)) 2)) (sqrt.f64 (-.f64 1/2 (fma.f64 -1/12 x (/.f64 1 x))))) (sqrt.f64 (-.f64 1/2 (fma.f64 -1/12 x (/.f64 1 x)))))
(/.f64 (/.f64 (-.f64 1/4 (pow.f64 (fma.f64 -1/12 x (/.f64 1 x)) 2)) (*.f64 (cbrt.f64 (-.f64 1/2 (fma.f64 -1/12 x (/.f64 1 x)))) (cbrt.f64 (-.f64 1/2 (fma.f64 -1/12 x (/.f64 1 x)))))) (cbrt.f64 (-.f64 1/2 (fma.f64 -1/12 x (/.f64 1 x)))))
(/.f64 (/.f64 (+.f64 1/8 (pow.f64 (fma.f64 -1/12 x (/.f64 1 x)) 3)) 1) (+.f64 1/4 (*.f64 (fma.f64 -1/12 x (/.f64 1 x)) (-.f64 (fma.f64 -1/12 x (/.f64 1 x)) 1/2))))
(/.f64 (/.f64 (+.f64 1/8 (pow.f64 (fma.f64 -1/12 x (/.f64 1 x)) 3)) (sqrt.f64 (+.f64 1/4 (.f64 (fma.f64 -1/12 x (/.f64 1 x)) (-.f64 (fma.f64 -1/12 x (/.f64 1 x)) 1/2))))) (sqrt.f64 (+.f64 1/4 (.f64 (fma.f64 -1/12 x (/.f64 1 x)) (-.f64 (fma.f64 -1/12 x (/.f64 1 x)) 1/2)))))
(/.f64 (/.f64 (+.f64 1/8 (pow.f64 (fma.f64 -1/12 x (/.f64 1 x)) 3)) (.f64 (cbrt.f64 (+.f64 1/4 (.f64 (fma.f64 -1/12 x (/.f64 1 x)) (-.f64 (fma.f64 -1/12 x (/.f64 1 x)) 1/2)))) (cbrt.f64 (+.f64 1/4 (.f64 (fma.f64 -1/12 x (/.f64 1 x)) (-.f64 (fma.f64 -1/12 x (/.f64 1 x)) 1/2)))))) (cbrt.f64 (+.f64 1/4 (.f64 (fma.f64 -1/12 x (/.f64 1 x)) (-.f64 (fma.f64 -1/12 x (/.f64 1 x)) 1/2)))))
(pow.f64 (+.f64 1/2 (fma.f64 -1/12 x (/.f64 1 x))) 1)
(pow.f64 (sqrt.f64 (+.f64 1/2 (fma.f64 -1/12 x (/.f64 1 x)))) 2)
(pow.f64 (cbrt.f64 (+.f64 1/2 (fma.f64 -1/12 x (/.f64 1 x)))) 3)
(pow.f64 (pow.f64 (+.f64 1/2 (fma.f64 -1/12 x (/.f64 1 x))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 1/2 (fma.f64 -1/12 x (/.f64 1 x))) 2))
(log.f64 (exp.f64 (+.f64 1/2 (fma.f64 -1/12 x (/.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1/2 (fma.f64 -1/12 x (/.f64 1 x))))))
(cbrt.f64 (pow.f64 (+.f64 1/2 (fma.f64 -1/12 x (/.f64 1 x))) 3))
(expm1.f64 (log.f64 (+.f64 3/2 (fma.f64 -1/12 x (/.f64 1 x)))))
(exp.f64 (log.f64 (+.f64 1/2 (fma.f64 -1/12 x (/.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (+.f64 1/2 (fma.f64 -1/12 x (/.f64 1 x)))) 1))
(log1p.f64 (expm1.f64 (+.f64 1/2 (fma.f64 -1/12 x (/.f64 1 x)))))
(fma.f64 1 (fma.f64 -1/12 x (/.f64 1 x)) 1/2)
(fma.f64 (sqrt.f64 (fma.f64 -1/12 x (/.f64 1 x))) (sqrt.f64 (fma.f64 -1/12 x (/.f64 1 x))) 1/2)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/12 x (/.f64 1 x))) 2) (cbrt.f64 (fma.f64 -1/12 x (/.f64 1 x))) 1/2)

Outputs
-1
(-.f64 (*.f64 -1 x) 1)
(fma.f64 -1 x -1)
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(+.f64 -1 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 (+.f64 (.f64 -3/8 (pow.f64 x 3)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))) 1)
(+.f64 (fma.f64 -3/8 (pow.f64 x 3) (fma.f64 -1/2 (*.f64 x x) (neg.f64 x))) -1)
(+.f64 -1 (fma.f64 -3/8 (pow.f64 x 3) (fma.f64 -1/2 (*.f64 x x) (neg.f64 x))))
(.f64 -1/12 (.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) x))
(.f64 -1/12 (.f64 x (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1))))
(.f64 x (.f64 -1/12 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1))))
(+.f64 (.f64 1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1))) (+.f64 1/12 (.f64 -1/12 (.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) x))))
(fma.f64 1/2 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)) (+.f64 (.f64 -1/12 (.f64 x (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)))) 1/12))
(fma.f64 1/2 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)) (+.f64 (.f64 x (.f64 -1/12 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)))) 1/12))
(-.f64 (+.f64 1/12 (+.f64 (.f64 1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1))) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) x)) (+.f64 (/.f64 (log.f64 -1) x) (.f64 -1/12 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) x)))))) (*.f64 11/24 (/.f64 1 x)))
(+.f64 1/12 (-.f64 (fma.f64 1/2 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)) (fma.f64 -1 (/.f64 (neg.f64 (log.f64 x)) x) (+.f64 (.f64 -1/12 (.f64 x (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)))) (/.f64 (log.f64 -1) x)))) (/.f64 11/24 x)))
(+.f64 (fma.f64 1/2 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)) (+.f64 (/.f64 (log.f64 -1) x) (fma.f64 -1 (/.f64 (neg.f64 (log.f64 x)) x) (.f64 x (.f64 -1/12 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1))))))) (+.f64 1/12 (/.f64 -11/24 x)))
(-.f64 (+.f64 1/12 (+.f64 (.f64 1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1))) (+.f64 (/.f64 (log.f64 -1) x) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) x)) (.f64 -1/12 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) x)))))) (+.f64 (.f64 11/9 (/.f64 1 (pow.f64 x 2))) (.f64 11/24 (/.f64 1 x))))
(-.f64 (+.f64 1/12 (fma.f64 1/2 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)) (+.f64 (/.f64 (log.f64 -1) x) (fma.f64 -1 (/.f64 (neg.f64 (log.f64 x)) x) (.f64 -1/12 (.f64 x (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)))))))) (+.f64 (/.f64 11/24 x) (/.f64 11/9 (*.f64 x x))))
(+.f64 (fma.f64 1/2 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)) (+.f64 (/.f64 (log.f64 -1) x) (fma.f64 -1 (/.f64 (neg.f64 (log.f64 x)) x) (.f64 x (.f64 -1/12 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1))))))) (-.f64 1/12 (+.f64 (/.f64 11/24 x) (/.f64 11/9 (*.f64 x x)))))
(.f64 1/12 (.f64 (log.f64 (/.f64 -1 x)) x))
(.f64 1/12 (.f64 x (log.f64 (/.f64 -1 x))))
(.f64 x (.f64 1/12 (log.f64 (/.f64 -1 x))))
(+.f64 (.f64 1/12 (.f64 (log.f64 (/.f64 -1 x)) x)) (+.f64 1/12 (*.f64 -1/2 (log.f64 (/.f64 -1 x)))))
(fma.f64 1/12 (.f64 x (log.f64 (/.f64 -1 x))) (+.f64 1/12 (.f64 -1/2 (log.f64 (/.f64 -1 x)))))
(+.f64 (.f64 1/12 (.f64 (log.f64 (/.f64 -1 x)) x)) (+.f64 1/12 (+.f64 (.f64 -1 (/.f64 (+.f64 11/24 (log.f64 (/.f64 -1 x))) x)) (.f64 -1/2 (log.f64 (/.f64 -1 x))))))
(fma.f64 1/12 (.f64 x (log.f64 (/.f64 -1 x))) (+.f64 1/12 (fma.f64 -1 (/.f64 (+.f64 11/24 (log.f64 (/.f64 -1 x))) x) (.f64 -1/2 (log.f64 (/.f64 -1 x))))))
(-.f64 (+.f64 (.f64 1/12 (.f64 (log.f64 (/.f64 -1 x)) x)) (+.f64 1/12 (+.f64 (.f64 -1 (/.f64 (+.f64 11/24 (log.f64 (/.f64 -1 x))) x)) (.f64 -1/2 (log.f64 (/.f64 -1 x)))))) (*.f64 11/9 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 1/12 (.f64 x (log.f64 (/.f64 -1 x))) (+.f64 1/12 (fma.f64 -1 (/.f64 (+.f64 11/24 (log.f64 (/.f64 -1 x))) x) (.f64 -1/2 (log.f64 (/.f64 -1 x)))))) (/.f64 11/9 (*.f64 x x)))
(+.f64 (fma.f64 1/12 (.f64 x (log.f64 (/.f64 -1 x))) (+.f64 1/12 (fma.f64 -1 (/.f64 (+.f64 11/24 (log.f64 (/.f64 -1 x))) x) (.f64 -1/2 (log.f64 (/.f64 -1 x)))))) (/.f64 -11/9 (*.f64 x x)))
(/.f64 1 x)
(*.f64 -1/12 x)
(*.f64 x -1/12)
(*.f64 -1/12 x)
(*.f64 x -1/12)
(/.f64 1 x)
(+.f64 1/2 (/.f64 1 x))
(+.f64 (/.f64 1 x) 1/2)
(*.f64 -1/12 x)
(*.f64 x -1/12)
(+.f64 1/2 (*.f64 -1/12 x))
(fma.f64 -1/12 x 1/2)
(*.f64 -1/12 x)
(*.f64 x -1/12)
(+.f64 1/2 (*.f64 -1/12 x))
(fma.f64 -1/12 x 1/2)
(+.f64 0 (*.f64 -1/12 x))
(*.f64 x -1/12)
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/12 x))) 1)
(*.f64 x -1/12)
(/.f64 -1/12 (/.f64 1 x))
(*.f64 x -1/12)
(/.f64 (*.f64 -1/12 x) 1)
(*.f64 x -1/12)
(/.f64 (*.f64 -1/12 x) -1)
(/.f64 -1/12 (/.f64 -1 x))
(*.f64 x 1/12)
(/.f64 (*.f64 (sqrt.f64 x) -1/12) (pow.f64 x -1/2))
(/.f64 (sqrt.f64 x) (/.f64 (pow.f64 x -1/2) -1/12))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 x -1/2)) -1/12)
(/.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) -1/12) (/.f64 1 (cbrt.f64 x)))
(/.f64 (*.f64 -1/12 (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 x)))
(*.f64 (cbrt.f64 x) (/.f64 (pow.f64 (cbrt.f64 x) 2) -12))
(/.f64 (.f64 (-.f64 0 (.f64 x x)) -1/12) x)
(/.f64 (neg.f64 (*.f64 x x)) (/.f64 x -1/12))
(/.f64 -1/12 (/.f64 x (neg.f64 (*.f64 x x))))
(/.f64 (.f64 (-.f64 0 (pow.f64 x 3)) -1/12) (+.f64 0 (+.f64 (.f64 x x) (*.f64 0 x))))
(/.f64 (neg.f64 (pow.f64 x 3)) (/.f64 (fma.f64 x x 0) -1/12))
(*.f64 (/.f64 (neg.f64 (pow.f64 x 3)) (fma.f64 x x 0)) -1/12)
(pow.f64 (*.f64 -1/12 x) 1)
(*.f64 x -1/12)
(pow.f64 (sqrt.f64 (*.f64 -1/12 x)) 2)
(pow.f64 (sqrt.f64 (*.f64 x -1/12)) 2)
(pow.f64 (cbrt.f64 (*.f64 -1/12 x)) 3)
(*.f64 x -1/12)
(pow.f64 (*.f64 -1/1728 (pow.f64 x 3)) 1/3)
(cbrt.f64 (*.f64 (pow.f64 x 3) -1/1728))
(sqrt.f64 (.f64 (.f64 x x) 1/144))
(sqrt.f64 (.f64 x (.f64 x 1/144)))
(log.f64 (pow.f64 (exp.f64 x) -1/12))
(*.f64 -1/12 (log.f64 (exp.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/12 x))))
(*.f64 x -1/12)
(cbrt.f64 (*.f64 -1/1728 (pow.f64 x 3)))
(cbrt.f64 (*.f64 (pow.f64 x 3) -1/1728))
(expm1.f64 (log1p.f64 (*.f64 -1/12 x)))
(*.f64 x -1/12)
(exp.f64 (log.f64 (*.f64 -1/12 x)))
(*.f64 x -1/12)
(exp.f64 (.f64 (log.f64 (.f64 -1/12 x)) 1))
(*.f64 x -1/12)
(log1p.f64 (expm1.f64 (*.f64 -1/12 x)))
(*.f64 x -1/12)
(+.f64 (.f64 (log1p.f64 x) 1/2) (.f64 (log1p.f64 x) (fma.f64 -1/12 x (/.f64 1 x))))
(*.f64 (log1p.f64 x) (+.f64 1/2 (fma.f64 x -1/12 (/.f64 1 x))))
(*.f64 (log1p.f64 x) (+.f64 (/.f64 1 x) (fma.f64 -1/12 x 1/2)))
(+.f64 (.f64 (log1p.f64 x) (fma.f64 -1/12 x (/.f64 1 x))) (.f64 (log1p.f64 x) 1/2))
(*.f64 (log1p.f64 x) (+.f64 1/2 (fma.f64 x -1/12 (/.f64 1 x))))
(*.f64 (log1p.f64 x) (+.f64 (/.f64 1 x) (fma.f64 -1/12 x 1/2)))
(+.f64 (.f64 (log1p.f64 x) (+.f64 (.f64 -1/12 x) 1/2)) (*.f64 (log1p.f64 x) (/.f64 1 x)))
(*.f64 (log1p.f64 x) (+.f64 1/2 (fma.f64 x -1/12 (/.f64 1 x))))
(*.f64 (log1p.f64 x) (+.f64 (/.f64 1 x) (fma.f64 -1/12 x 1/2)))
(+.f64 (.f64 (log1p.f64 x) (/.f64 1 x)) (.f64 (log1p.f64 x) (+.f64 (*.f64 -1/12 x) 1/2)))
(*.f64 (log1p.f64 x) (+.f64 1/2 (fma.f64 x -1/12 (/.f64 1 x))))
(*.f64 (log1p.f64 x) (+.f64 (/.f64 1 x) (fma.f64 -1/12 x 1/2)))
(+.f64 (.f64 1/2 (log1p.f64 x)) (.f64 (fma.f64 -1/12 x (/.f64 1 x)) (log1p.f64 x)))
(*.f64 (log1p.f64 x) (+.f64 1/2 (fma.f64 x -1/12 (/.f64 1 x))))
(*.f64 (log1p.f64 x) (+.f64 (/.f64 1 x) (fma.f64 -1/12 x 1/2)))
(+.f64 (.f64 (fma.f64 -1/12 x (/.f64 1 x)) (log1p.f64 x)) (.f64 1/2 (log1p.f64 x)))
(*.f64 (log1p.f64 x) (+.f64 1/2 (fma.f64 x -1/12 (/.f64 1 x))))
(*.f64 (log1p.f64 x) (+.f64 (/.f64 1 x) (fma.f64 -1/12 x 1/2)))
(+.f64 (.f64 (+.f64 (.f64 -1/12 x) 1/2) (log1p.f64 x)) (/.f64 (log1p.f64 x) x))
(*.f64 (log1p.f64 x) (+.f64 1/2 (fma.f64 x -1/12 (/.f64 1 x))))
(*.f64 (log1p.f64 x) (+.f64 (/.f64 1 x) (fma.f64 -1/12 x 1/2)))
(+.f64 (/.f64 (log1p.f64 x) x) (.f64 (+.f64 (.f64 -1/12 x) 1/2) (log1p.f64 x)))
(*.f64 (log1p.f64 x) (+.f64 1/2 (fma.f64 x -1/12 (/.f64 1 x))))
(*.f64 (log1p.f64 x) (+.f64 (/.f64 1 x) (fma.f64 -1/12 x 1/2)))
(+.f64 (.f64 (log1p.f64 x) (.f64 -1/12 x)) (*.f64 (log1p.f64 x) (+.f64 1/2 (/.f64 1 x))))
(*.f64 (log1p.f64 x) (+.f64 1/2 (fma.f64 x -1/12 (/.f64 1 x))))
(*.f64 (log1p.f64 x) (+.f64 (/.f64 1 x) (fma.f64 -1/12 x 1/2)))
(+.f64 (.f64 1 (.f64 (log1p.f64 x) 1/2)) (.f64 1 (.f64 (log1p.f64 x) (fma.f64 -1/12 x (/.f64 1 x)))))
(*.f64 (log1p.f64 x) (+.f64 1/2 (fma.f64 x -1/12 (/.f64 1 x))))
(*.f64 (log1p.f64 x) (+.f64 (/.f64 1 x) (fma.f64 -1/12 x 1/2)))
(+.f64 (.f64 1 (.f64 (log1p.f64 x) (fma.f64 -1/12 x (/.f64 1 x)))) (.f64 1 (.f64 (log1p.f64 x) 1/2)))
(*.f64 (log1p.f64 x) (+.f64 1/2 (fma.f64 x -1/12 (/.f64 1 x))))
(*.f64 (log1p.f64 x) (+.f64 (/.f64 1 x) (fma.f64 -1/12 x 1/2)))
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(*.f64 (log1p.f64 x) (+.f64 1/2 (fma.f64 x -1/12 (/.f64 1 x))))
(*.f64 (log1p.f64 x) (+.f64 (/.f64 1 x) (fma.f64 -1/12 x 1/2)))
(+.f64 (.f64 1 (.f64 1/2 (log1p.f64 x))) (.f64 1 (.f64 (fma.f64 -1/12 x (/.f64 1 x)) (log1p.f64 x))))
(*.f64 (log1p.f64 x) (+.f64 1/2 (fma.f64 x -1/12 (/.f64 1 x))))
(*.f64 (log1p.f64 x) (+.f64 (/.f64 1 x) (fma.f64 -1/12 x 1/2)))
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(/.f64 (sqrt.f64 (+.f64 1/8 (pow.f64 (fma.f64 x -1/12 (/.f64 1 x)) 3))) (/.f64 (sqrt.f64 (+.f64 1/4 (*.f64 (fma.f64 x -1/12 (/.f64 1 x)) (+.f64 (fma.f64 x -1/12 (/.f64 1 x)) -1/2)))) (sqrt.f64 (+.f64 1/2 (fma.f64 x -1/12 (/.f64 1 x))))))
(.f64 (/.f64 (sqrt.f64 (+.f64 1/8 (pow.f64 (fma.f64 x -1/12 (/.f64 1 x)) 3))) (sqrt.f64 (+.f64 1/4 (.f64 (fma.f64 x -1/12 (/.f64 1 x)) (+.f64 -1/2 (fma.f64 x -1/12 (/.f64 1 x))))))) (sqrt.f64 (+.f64 (/.f64 1 x) (fma.f64 -1/12 x 1/2))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1/4 (pow.f64 (fma.f64 -1/12 x (/.f64 1 x)) 2))) (pow.f64 (cbrt.f64 (+.f64 1/2 (fma.f64 -1/12 x (/.f64 1 x)))) 2)) (cbrt.f64 (-.f64 1/2 (fma.f64 -1/12 x (/.f64 1 x)))))
(/.f64 (cbrt.f64 (-.f64 1/4 (pow.f64 (fma.f64 x -1/12 (/.f64 1 x)) 2))) (/.f64 (cbrt.f64 (-.f64 1/2 (fma.f64 x -1/12 (/.f64 1 x)))) (pow.f64 (cbrt.f64 (+.f64 1/2 (fma.f64 x -1/12 (/.f64 1 x)))) 2)))
(/.f64 (cbrt.f64 (-.f64 1/4 (pow.f64 (fma.f64 x -1/12 (/.f64 1 x)) 2))) (/.f64 (cbrt.f64 (-.f64 1/2 (fma.f64 x -1/12 (/.f64 1 x)))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (fma.f64 -1/12 x 1/2))) 2)))
(/.f64 (.f64 (cbrt.f64 (+.f64 1/8 (pow.f64 (fma.f64 -1/12 x (/.f64 1 x)) 3))) (pow.f64 (cbrt.f64 (+.f64 1/2 (fma.f64 -1/12 x (/.f64 1 x)))) 2)) (cbrt.f64 (+.f64 1/4 (.f64 (fma.f64 -1/12 x (/.f64 1 x)) (-.f64 (fma.f64 -1/12 x (/.f64 1 x)) 1/2)))))
(/.f64 (cbrt.f64 (+.f64 1/8 (pow.f64 (fma.f64 x -1/12 (/.f64 1 x)) 3))) (/.f64 (cbrt.f64 (+.f64 1/4 (*.f64 (fma.f64 x -1/12 (/.f64 1 x)) (+.f64 (fma.f64 x -1/12 (/.f64 1 x)) -1/2)))) (pow.f64 (cbrt.f64 (+.f64 1/2 (fma.f64 x -1/12 (/.f64 1 x)))) 2)))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (fma.f64 -1/12 x 1/2))) 2) (/.f64 (cbrt.f64 (+.f64 1/4 (*.f64 (fma.f64 x -1/12 (/.f64 1 x)) (+.f64 -1/2 (fma.f64 x -1/12 (/.f64 1 x)))))) (cbrt.f64 (+.f64 1/8 (pow.f64 (fma.f64 x -1/12 (/.f64 1 x)) 3)))))
(/.f64 (.f64 (-.f64 1/16 (.f64 (pow.f64 (fma.f64 -1/12 x (/.f64 1 x)) 2) (pow.f64 (fma.f64 -1/12 x (/.f64 1 x)) 2))) (/.f64 1 (-.f64 1/2 (fma.f64 -1/12 x (/.f64 1 x))))) (+.f64 (pow.f64 (fma.f64 -1/12 x (/.f64 1 x)) 2) 1/4))
(/.f64 (*.f64 (/.f64 1 (-.f64 1/2 (fma.f64 x -1/12 (/.f64 1 x)))) (-.f64 1/16 (pow.f64 (fma.f64 x -1/12 (/.f64 1 x)) 4))) (+.f64 1/4 (pow.f64 (fma.f64 x -1/12 (/.f64 1 x)) 2)))
(*.f64 (/.f64 (-.f64 1/16 (pow.f64 (fma.f64 x -1/12 (/.f64 1 x)) 4)) (+.f64 1/4 (pow.f64 (fma.f64 x -1/12 (/.f64 1 x)) 2))) (/.f64 1 (-.f64 1/2 (fma.f64 x -1/12 (/.f64 1 x)))))
(/.f64 (.f64 (-.f64 1/64 (pow.f64 (pow.f64 (fma.f64 -1/12 x (/.f64 1 x)) 2) 3)) (/.f64 1 (-.f64 1/2 (fma.f64 -1/12 x (/.f64 1 x))))) (+.f64 1/16 (+.f64 (.f64 (pow.f64 (fma.f64 -1/12 x (/.f64 1 x)) 2) (pow.f64 (fma.f64 -1/12 x (/.f64 1 x)) 2)) (*.f64 1/4 (pow.f64 (fma.f64 -1/12 x (/.f64 1 x)) 2)))))
(/.f64 (.f64 (/.f64 1 (-.f64 1/2 (fma.f64 x -1/12 (/.f64 1 x)))) (-.f64 1/64 (pow.f64 (pow.f64 (fma.f64 x -1/12 (/.f64 1 x)) 2) 3))) (+.f64 1/16 (+.f64 (pow.f64 (fma.f64 x -1/12 (/.f64 1 x)) 4) (.f64 1/4 (pow.f64 (fma.f64 x -1/12 (/.f64 1 x)) 2)))))
(/.f64 (/.f64 1 (-.f64 1/2 (fma.f64 x -1/12 (/.f64 1 x)))) (/.f64 (+.f64 (*.f64 1/4 (pow.f64 (fma.f64 x -1/12 (/.f64 1 x)) 2)) (+.f64 (pow.f64 (fma.f64 x -1/12 (/.f64 1 x)) 4) 1/16)) (-.f64 1/64 (pow.f64 (fma.f64 x -1/12 (/.f64 1 x)) 6))))
(/.f64 (.f64 (-.f64 1/64 (.f64 (pow.f64 (fma.f64 -1/12 x (/.f64 1 x)) 3) (pow.f64 (fma.f64 -1/12 x (/.f64 1 x)) 3))) (/.f64 1 (+.f64 1/4 (*.f64 (fma.f64 -1/12 x (/.f64 1 x)) (-.f64 (fma.f64 -1/12 x (/.f64 1 x)) 1/2))))) (-.f64 1/8 (pow.f64 (fma.f64 -1/12 x (/.f64 1 x)) 3)))
(/.f64 (-.f64 1/64 (pow.f64 (fma.f64 x -1/12 (/.f64 1 x)) 6)) (/.f64 (-.f64 1/8 (pow.f64 (fma.f64 x -1/12 (/.f64 1 x)) 3)) (/.f64 1 (+.f64 1/4 (*.f64 (fma.f64 x -1/12 (/.f64 1 x)) (+.f64 (fma.f64 x -1/12 (/.f64 1 x)) -1/2))))))
(/.f64 (-.f64 1/64 (pow.f64 (fma.f64 x -1/12 (/.f64 1 x)) 6)) (.f64 (/.f64 (-.f64 1/8 (pow.f64 (fma.f64 x -1/12 (/.f64 1 x)) 3)) 1) (+.f64 1/4 (.f64 (fma.f64 x -1/12 (/.f64 1 x)) (+.f64 -1/2 (fma.f64 x -1/12 (/.f64 1 x)))))))
(/.f64 (.f64 (+.f64 1/512 (pow.f64 (pow.f64 (fma.f64 -1/12 x (/.f64 1 x)) 3) 3)) (/.f64 1 (+.f64 1/4 (.f64 (fma.f64 -1/12 x (/.f64 1 x)) (-.f64 (fma.f64 -1/12 x (/.f64 1 x)) 1/2))))) (+.f64 1/64 (-.f64 (.f64 (pow.f64 (fma.f64 -1/12 x (/.f64 1 x)) 3) (pow.f64 (fma.f64 -1/12 x (/.f64 1 x)) 3)) (.f64 1/8 (pow.f64 (fma.f64 -1/12 x (/.f64 1 x)) 3)))))
(/.f64 (+.f64 1/512 (pow.f64 (pow.f64 (fma.f64 x -1/12 (/.f64 1 x)) 3) 3)) (/.f64 (+.f64 1/64 (-.f64 (pow.f64 (fma.f64 x -1/12 (/.f64 1 x)) 6) (.f64 1/8 (pow.f64 (fma.f64 x -1/12 (/.f64 1 x)) 3)))) (/.f64 1 (+.f64 1/4 (.f64 (fma.f64 x -1/12 (/.f64 1 x)) (+.f64 (fma.f64 x -1/12 (/.f64 1 x)) -1/2))))))
(.f64 (/.f64 (+.f64 1/512 (pow.f64 (pow.f64 (fma.f64 x -1/12 (/.f64 1 x)) 3) 3)) (+.f64 1/64 (+.f64 (pow.f64 (fma.f64 x -1/12 (/.f64 1 x)) 6) (.f64 (pow.f64 (fma.f64 x -1/12 (/.f64 1 x)) 3) -1/8)))) (/.f64 1 (+.f64 1/4 (*.f64 (fma.f64 x -1/12 (/.f64 1 x)) (+.f64 -1/2 (fma.f64 x -1/12 (/.f64 1 x)))))))
(/.f64 (/.f64 (-.f64 1/4 (pow.f64 (fma.f64 -1/12 x (/.f64 1 x)) 2)) 1) (-.f64 1/2 (fma.f64 -1/12 x (/.f64 1 x))))
(/.f64 (-.f64 1/4 (pow.f64 (fma.f64 x -1/12 (/.f64 1 x)) 2)) (-.f64 1/2 (fma.f64 x -1/12 (/.f64 1 x))))
(/.f64 (/.f64 (-.f64 1/4 (pow.f64 (fma.f64 -1/12 x (/.f64 1 x)) 2)) (sqrt.f64 (-.f64 1/2 (fma.f64 -1/12 x (/.f64 1 x))))) (sqrt.f64 (-.f64 1/2 (fma.f64 -1/12 x (/.f64 1 x)))))
(/.f64 (-.f64 1/4 (pow.f64 (fma.f64 x -1/12 (/.f64 1 x)) 2)) (*.f64 (sqrt.f64 (-.f64 1/2 (fma.f64 x -1/12 (/.f64 1 x)))) (sqrt.f64 (-.f64 1/2 (fma.f64 x -1/12 (/.f64 1 x))))))
(/.f64 (/.f64 (-.f64 1/4 (pow.f64 (fma.f64 -1/12 x (/.f64 1 x)) 2)) (*.f64 (cbrt.f64 (-.f64 1/2 (fma.f64 -1/12 x (/.f64 1 x)))) (cbrt.f64 (-.f64 1/2 (fma.f64 -1/12 x (/.f64 1 x)))))) (cbrt.f64 (-.f64 1/2 (fma.f64 -1/12 x (/.f64 1 x)))))
(/.f64 (-.f64 1/4 (pow.f64 (fma.f64 x -1/12 (/.f64 1 x)) 2)) (.f64 (cbrt.f64 (-.f64 1/2 (fma.f64 x -1/12 (/.f64 1 x)))) (.f64 (cbrt.f64 (-.f64 1/2 (fma.f64 x -1/12 (/.f64 1 x)))) (cbrt.f64 (-.f64 1/2 (fma.f64 x -1/12 (/.f64 1 x)))))))
(/.f64 (/.f64 (+.f64 1/8 (pow.f64 (fma.f64 -1/12 x (/.f64 1 x)) 3)) 1) (+.f64 1/4 (*.f64 (fma.f64 -1/12 x (/.f64 1 x)) (-.f64 (fma.f64 -1/12 x (/.f64 1 x)) 1/2))))
(/.f64 (+.f64 1/8 (pow.f64 (fma.f64 x -1/12 (/.f64 1 x)) 3)) (+.f64 1/4 (*.f64 (fma.f64 x -1/12 (/.f64 1 x)) (+.f64 (fma.f64 x -1/12 (/.f64 1 x)) -1/2))))
(/.f64 (+.f64 1/8 (pow.f64 (fma.f64 x -1/12 (/.f64 1 x)) 3)) (+.f64 1/4 (*.f64 (fma.f64 x -1/12 (/.f64 1 x)) (+.f64 -1/2 (fma.f64 x -1/12 (/.f64 1 x))))))
(/.f64 (/.f64 (+.f64 1/8 (pow.f64 (fma.f64 -1/12 x (/.f64 1 x)) 3)) (sqrt.f64 (+.f64 1/4 (.f64 (fma.f64 -1/12 x (/.f64 1 x)) (-.f64 (fma.f64 -1/12 x (/.f64 1 x)) 1/2))))) (sqrt.f64 (+.f64 1/4 (.f64 (fma.f64 -1/12 x (/.f64 1 x)) (-.f64 (fma.f64 -1/12 x (/.f64 1 x)) 1/2)))))
(/.f64 (+.f64 1/8 (pow.f64 (fma.f64 x -1/12 (/.f64 1 x)) 3)) (.f64 (sqrt.f64 (+.f64 1/4 (.f64 (fma.f64 x -1/12 (/.f64 1 x)) (+.f64 (fma.f64 x -1/12 (/.f64 1 x)) -1/2)))) (sqrt.f64 (+.f64 1/4 (*.f64 (fma.f64 x -1/12 (/.f64 1 x)) (+.f64 (fma.f64 x -1/12 (/.f64 1 x)) -1/2))))))
(/.f64 (+.f64 1/8 (pow.f64 (fma.f64 x -1/12 (/.f64 1 x)) 3)) (.f64 (sqrt.f64 (+.f64 1/4 (.f64 (fma.f64 x -1/12 (/.f64 1 x)) (+.f64 -1/2 (fma.f64 x -1/12 (/.f64 1 x)))))) (sqrt.f64 (+.f64 1/4 (*.f64 (fma.f64 x -1/12 (/.f64 1 x)) (+.f64 -1/2 (fma.f64 x -1/12 (/.f64 1 x))))))))
(/.f64 (/.f64 (+.f64 1/8 (pow.f64 (fma.f64 -1/12 x (/.f64 1 x)) 3)) (.f64 (cbrt.f64 (+.f64 1/4 (.f64 (fma.f64 -1/12 x (/.f64 1 x)) (-.f64 (fma.f64 -1/12 x (/.f64 1 x)) 1/2)))) (cbrt.f64 (+.f64 1/4 (.f64 (fma.f64 -1/12 x (/.f64 1 x)) (-.f64 (fma.f64 -1/12 x (/.f64 1 x)) 1/2)))))) (cbrt.f64 (+.f64 1/4 (.f64 (fma.f64 -1/12 x (/.f64 1 x)) (-.f64 (fma.f64 -1/12 x (/.f64 1 x)) 1/2)))))
(/.f64 (/.f64 (+.f64 1/8 (pow.f64 (fma.f64 x -1/12 (/.f64 1 x)) 3)) (.f64 (cbrt.f64 (+.f64 1/4 (.f64 (fma.f64 x -1/12 (/.f64 1 x)) (+.f64 (fma.f64 x -1/12 (/.f64 1 x)) -1/2)))) (cbrt.f64 (+.f64 1/4 (.f64 (fma.f64 x -1/12 (/.f64 1 x)) (+.f64 (fma.f64 x -1/12 (/.f64 1 x)) -1/2)))))) (cbrt.f64 (+.f64 1/4 (.f64 (fma.f64 x -1/12 (/.f64 1 x)) (+.f64 (fma.f64 x -1/12 (/.f64 1 x)) -1/2)))))
(/.f64 (+.f64 1/8 (pow.f64 (fma.f64 x -1/12 (/.f64 1 x)) 3)) (.f64 (cbrt.f64 (+.f64 1/4 (.f64 (fma.f64 x -1/12 (/.f64 1 x)) (+.f64 -1/2 (fma.f64 x -1/12 (/.f64 1 x)))))) (.f64 (cbrt.f64 (+.f64 1/4 (.f64 (fma.f64 x -1/12 (/.f64 1 x)) (+.f64 -1/2 (fma.f64 x -1/12 (/.f64 1 x)))))) (cbrt.f64 (+.f64 1/4 (*.f64 (fma.f64 x -1/12 (/.f64 1 x)) (+.f64 -1/2 (fma.f64 x -1/12 (/.f64 1 x)))))))))
(pow.f64 (+.f64 1/2 (fma.f64 -1/12 x (/.f64 1 x))) 1)
(+.f64 (exp.f64 (log1p.f64 (fma.f64 x -1/12 (/.f64 1 x)))) -1/2)
(+.f64 (/.f64 1 x) (fma.f64 -1/12 x 1/2))
(pow.f64 (sqrt.f64 (+.f64 1/2 (fma.f64 -1/12 x (/.f64 1 x)))) 2)
(+.f64 (exp.f64 (log1p.f64 (fma.f64 x -1/12 (/.f64 1 x)))) -1/2)
(+.f64 (/.f64 1 x) (fma.f64 -1/12 x 1/2))
(pow.f64 (cbrt.f64 (+.f64 1/2 (fma.f64 -1/12 x (/.f64 1 x)))) 3)
(+.f64 (exp.f64 (log1p.f64 (fma.f64 x -1/12 (/.f64 1 x)))) -1/2)
(+.f64 (/.f64 1 x) (fma.f64 -1/12 x 1/2))
(pow.f64 (pow.f64 (+.f64 1/2 (fma.f64 -1/12 x (/.f64 1 x))) 3) 1/3)
(+.f64 (exp.f64 (log1p.f64 (fma.f64 x -1/12 (/.f64 1 x)))) -1/2)
(+.f64 (/.f64 1 x) (fma.f64 -1/12 x 1/2))
(sqrt.f64 (pow.f64 (+.f64 1/2 (fma.f64 -1/12 x (/.f64 1 x))) 2))
(sqrt.f64 (pow.f64 (+.f64 1/2 (fma.f64 x -1/12 (/.f64 1 x))) 2))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 1 x) (fma.f64 -1/12 x 1/2)) 2))
(log.f64 (exp.f64 (+.f64 1/2 (fma.f64 -1/12 x (/.f64 1 x)))))
(+.f64 (exp.f64 (log1p.f64 (fma.f64 x -1/12 (/.f64 1 x)))) -1/2)
(+.f64 (/.f64 1 x) (fma.f64 -1/12 x 1/2))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1/2 (fma.f64 -1/12 x (/.f64 1 x))))))
(+.f64 (exp.f64 (log1p.f64 (fma.f64 x -1/12 (/.f64 1 x)))) -1/2)
(+.f64 (/.f64 1 x) (fma.f64 -1/12 x 1/2))
(cbrt.f64 (pow.f64 (+.f64 1/2 (fma.f64 -1/12 x (/.f64 1 x))) 3))
(+.f64 (exp.f64 (log1p.f64 (fma.f64 x -1/12 (/.f64 1 x)))) -1/2)
(+.f64 (/.f64 1 x) (fma.f64 -1/12 x 1/2))
(expm1.f64 (log.f64 (+.f64 3/2 (fma.f64 -1/12 x (/.f64 1 x)))))
(+.f64 (exp.f64 (log1p.f64 (fma.f64 x -1/12 (/.f64 1 x)))) -1/2)
(+.f64 (/.f64 1 x) (fma.f64 -1/12 x 1/2))
(exp.f64 (log.f64 (+.f64 1/2 (fma.f64 -1/12 x (/.f64 1 x)))))
(+.f64 (exp.f64 (log1p.f64 (fma.f64 x -1/12 (/.f64 1 x)))) -1/2)
(+.f64 (/.f64 1 x) (fma.f64 -1/12 x 1/2))
(exp.f64 (*.f64 (log.f64 (+.f64 1/2 (fma.f64 -1/12 x (/.f64 1 x)))) 1))
(+.f64 (exp.f64 (log1p.f64 (fma.f64 x -1/12 (/.f64 1 x)))) -1/2)
(+.f64 (/.f64 1 x) (fma.f64 -1/12 x 1/2))
(log1p.f64 (expm1.f64 (+.f64 1/2 (fma.f64 -1/12 x (/.f64 1 x)))))
(+.f64 (exp.f64 (log1p.f64 (fma.f64 x -1/12 (/.f64 1 x)))) -1/2)
(+.f64 (/.f64 1 x) (fma.f64 -1/12 x 1/2))
(fma.f64 1 (fma.f64 -1/12 x (/.f64 1 x)) 1/2)
(+.f64 (exp.f64 (log1p.f64 (fma.f64 x -1/12 (/.f64 1 x)))) -1/2)
(+.f64 (/.f64 1 x) (fma.f64 -1/12 x 1/2))
(fma.f64 (sqrt.f64 (fma.f64 -1/12 x (/.f64 1 x))) (sqrt.f64 (fma.f64 -1/12 x (/.f64 1 x))) 1/2)
(+.f64 (exp.f64 (log1p.f64 (fma.f64 x -1/12 (/.f64 1 x)))) -1/2)
(+.f64 (/.f64 1 x) (fma.f64 -1/12 x 1/2))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/12 x (/.f64 1 x))) 2) (cbrt.f64 (fma.f64 -1/12 x (/.f64 1 x))) 1/2)
(+.f64 (exp.f64 (log1p.f64 (fma.f64 x -1/12 (/.f64 1 x)))) -1/2)
(+.f64 (/.f64 1 x) (fma.f64 -1/12 x 1/2))

localize16.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x))
✓	0.1b	(*.f64 (pow.f64 x 3) -5/12)

Compiler

Compiled 42 to 27 computations (35.7% saved)

series31.0ms (0.3%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
29.0ms	x	@	-inf	(fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x))
1.0ms	x	@	0	(*.f64 (pow.f64 x 3) -5/12)
0.0ms	x	@	inf	(*.f64 (pow.f64 x 3) -5/12)
0.0ms	x	@	-inf	(*.f64 (pow.f64 x 3) -5/12)
0.0ms	x	@	inf	(fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x))

rewrite67.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

966×	`*-commutative`
672×	`unswap-sqr`
578×	`swap-sqr`
428×	`associate-*r/`
416×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	34
1	277	34
2	3116	34

Stop Event

1×	node limit

Counts

2 → 61

Calls

Call 1

Inputs
(*.f64 (pow.f64 x 3) -5/12)
(fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x 3) -5/12))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) -5/12) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -5/12)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (cbrt.f64 -5/12)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 x 3) -5/12) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 6) 25/144))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -5/12))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x 3) -5/12))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 3) -5/12) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 3) -5/12)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 x 3) -5/12)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 3) -5/12)))))))

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

simplify74.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1574×	`associate-/r*`
934×	`fma-def`
682×	`associate-+l-`
616×	`unswap-sqr`
606×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	172	2413
1	447	2263
2	1812	2005
3	5195	2005

Stop Event

1×	node limit

Counts

85 → 101

Calls

Call 1

Inputs
(*.f64 -5/12 (pow.f64 x 3))
(*.f64 -5/12 (pow.f64 x 3))
(*.f64 -5/12 (pow.f64 x 3))
(*.f64 -5/12 (pow.f64 x 3))
(*.f64 -5/12 (pow.f64 x 3))
(*.f64 -5/12 (pow.f64 x 3))
(*.f64 -5/12 (pow.f64 x 3))
(*.f64 -5/12 (pow.f64 x 3))
(*.f64 -5/12 (pow.f64 x 3))
(*.f64 -5/12 (pow.f64 x 3))
(*.f64 -5/12 (pow.f64 x 3))
(*.f64 -5/12 (pow.f64 x 3))
-1
(-.f64 (*.f64 -1 x) 1)
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x))
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x))
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x 3) -5/12))) 1)
(pow.f64 (*.f64 (pow.f64 x 3) -5/12) 1)
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -5/12)) 2)
(pow.f64 (*.f64 x (cbrt.f64 -5/12)) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 x 3) -5/12) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 6) 25/144))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -5/12))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x 3) -5/12))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 3) -5/12) 3))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 3) -5/12)))
(exp.f64 (log.f64 (*.f64 (pow.f64 x 3) -5/12)))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 3) -5/12)))
(+.f64 -1 (+.f64 (neg.f64 x) (.f64 x (.f64 x -1/2))))
(+.f64 (-.f64 -1 x) (.f64 x (.f64 x -1/2)))
(+.f64 (neg.f64 x) (+.f64 -1 (.f64 x (.f64 x -1/2))))
(+.f64 (.f64 x (.f64 x -1/2)) (-.f64 -1 x))
(+.f64 (+.f64 -1 (.f64 x (.f64 x -1/2))) (neg.f64 x))
(+.f64 (+.f64 (.f64 x (.f64 x -1/2)) (neg.f64 x)) -1)
(+.f64 (-.f64 (+.f64 -1 (.f64 x (.f64 x -1/2))) (exp.f64 (log1p.f64 x))) 1)
(+.f64 (.f64 1 (+.f64 -1 (.f64 x (*.f64 x -1/2)))) (neg.f64 x))
(+.f64 (.f64 (+.f64 -1 (.f64 x (*.f64 x -1/2))) 1) (neg.f64 x))
(-.f64 -1 (-.f64 x (.f64 x (.f64 x -1/2))))
(-.f64 (neg.f64 x) (-.f64 1 (.f64 x (.f64 x -1/2))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x)))) 1)
(-.f64 (+.f64 -1 (.f64 x (.f64 x -1/2))) x)
(-.f64 (/.f64 1 (+.f64 x -1)) (-.f64 (/.f64 x (/.f64 (+.f64 x -1) x)) (.f64 x (.f64 x -1/2))))
(-.f64 (/.f64 -1 (+.f64 1 (fma.f64 x x (neg.f64 x)))) (-.f64 (/.f64 (pow.f64 x 3) (+.f64 1 (fma.f64 x x (neg.f64 x)))) (.f64 x (.f64 x -1/2))))
(-.f64 (+.f64 (.f64 x (.f64 x -1/2)) (neg.f64 x)) 1)
(-.f64 (+.f64 (.f64 x (.f64 x -1/2)) (/.f64 1 (+.f64 x -1))) (/.f64 x (/.f64 (+.f64 x -1) x)))
(-.f64 (+.f64 (.f64 x (.f64 x -1/2)) (/.f64 -1 (+.f64 1 (fma.f64 x x (neg.f64 x))))) (/.f64 (pow.f64 x 3) (+.f64 1 (fma.f64 x x (neg.f64 x)))))
(-.f64 (+.f64 (+.f64 -1 (.f64 x (.f64 x -1/2))) 0) x)
(.f64 (fma.f64 -1/2 (.f64 x x) (-.f64 -1 x)) 1)
(.f64 1 (fma.f64 -1/2 (.f64 x x) (-.f64 -1 x)))
(.f64 (sqrt.f64 (fma.f64 -1/2 (.f64 x x) (-.f64 -1 x))) (sqrt.f64 (fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x))))
(.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 x x) (-.f64 -1 x))) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 x x) (-.f64 -1 x))) 2) (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 x x) (-.f64 -1 x)))) (cbrt.f64 (fma.f64 -1/2 (.f64 x x) (-.f64 -1 x)))) (.f64 (sqrt.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 x x) (-.f64 -1 x)))) (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x)))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 -1/2 (.f64 x x) (-.f64 -1 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 x x) (-.f64 -1 x))) 2))) (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 -1/2 (.f64 x x) (-.f64 -1 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x))) 2))))
(.f64 (.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 x x) (-.f64 -1 x))) (sqrt.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 x x) (-.f64 -1 x))))) (.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 x x) (-.f64 -1 x))) (sqrt.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x))))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 x x) (-.f64 -1 x))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 -1/2 (.f64 x x) (-.f64 -1 x))))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 x x) (-.f64 -1 x))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x))))))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 x x) (-.f64 -1 x))) 3/2) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x))) 3/2))
(.f64 (pow.f64 (pow.f64 (fma.f64 -1/2 (.f64 x x) (-.f64 -1 x)) 3) 1/6) (pow.f64 (pow.f64 (fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x)) 3) 1/6))
(/.f64 (-.f64 (.f64 1/4 (pow.f64 x 4)) (pow.f64 (-.f64 -1 x) 2)) (-.f64 (.f64 x (*.f64 x -1/2)) (-.f64 -1 x)))
(/.f64 (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 (.f64 x (.f64 x -1/2)) 3)) (+.f64 (.f64 1/4 (pow.f64 x 4)) (.f64 (-.f64 -1 x) (-.f64 (-.f64 -1 x) (.f64 x (.f64 x -1/2))))))
(/.f64 (.f64 1 (-.f64 (.f64 1/4 (pow.f64 x 4)) (pow.f64 (-.f64 -1 x) 2))) (-.f64 (.f64 x (.f64 x -1/2)) (-.f64 -1 x)))
(/.f64 (.f64 1 (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 (.f64 x (.f64 x -1/2)) 3))) (+.f64 (.f64 1/4 (pow.f64 x 4)) (.f64 (-.f64 -1 x) (-.f64 (-.f64 -1 x) (.f64 x (*.f64 x -1/2))))))
(/.f64 (.f64 (-.f64 (.f64 1/4 (pow.f64 x 4)) (pow.f64 (-.f64 -1 x) 2)) 1) (-.f64 (.f64 x (.f64 x -1/2)) (-.f64 -1 x)))
(/.f64 (.f64 (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 (.f64 x (.f64 x -1/2)) 3)) 1) (+.f64 (.f64 1/4 (pow.f64 x 4)) (.f64 (-.f64 -1 x) (-.f64 (-.f64 -1 x) (.f64 x (*.f64 x -1/2))))))
(/.f64 (-.f64 (pow.f64 (-.f64 -1 x) 2) (.f64 1/4 (pow.f64 x 4))) (-.f64 (-.f64 -1 x) (.f64 x (*.f64 x -1/2))))
(/.f64 (-.f64 (.f64 (+.f64 -1 (.f64 x (.f64 x -1/2))) (+.f64 -1 (.f64 x (.f64 x -1/2)))) (.f64 x x)) (-.f64 (+.f64 -1 (.f64 x (.f64 x -1/2))) (neg.f64 x)))
(pow.f64 (fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x)) 1)
(pow.f64 (sqrt.f64 (fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x))) 2)
(pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x))) 3)
(pow.f64 (pow.f64 (fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x)) 2))
(log.f64 (exp.f64 (fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x)))))
(cbrt.f64 (pow.f64 (fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x))))
(exp.f64 (log.f64 (fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x))))
(log1p.f64 (expm1.f64 (fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x))))

Outputs
(*.f64 -5/12 (pow.f64 x 3))
(*.f64 -5/12 (pow.f64 x 3))
(*.f64 -5/12 (pow.f64 x 3))
(*.f64 -5/12 (pow.f64 x 3))
(*.f64 -5/12 (pow.f64 x 3))
(*.f64 -5/12 (pow.f64 x 3))
(*.f64 -5/12 (pow.f64 x 3))
(*.f64 -5/12 (pow.f64 x 3))
(*.f64 -5/12 (pow.f64 x 3))
(*.f64 -5/12 (pow.f64 x 3))
(*.f64 -5/12 (pow.f64 x 3))
(*.f64 -5/12 (pow.f64 x 3))
-1
(-.f64 (*.f64 -1 x) 1)
(fma.f64 -1 x -1)
(-.f64 -1 x)
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)
(fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x))
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)
(fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x))
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(*.f64 -1/2 (pow.f64 x 2))
(.f64 -1/2 (.f64 x x))
(.f64 x (.f64 x -1/2))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x))
(-.f64 (.f64 -1/2 (.f64 x x)) x)
(fma.f64 -1/2 (*.f64 x x) (neg.f64 x))
(*.f64 x (fma.f64 x -1/2 -1))
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)
(fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x))
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)
(fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x))
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(*.f64 -1/2 (pow.f64 x 2))
(.f64 -1/2 (.f64 x x))
(.f64 x (.f64 x -1/2))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x))
(-.f64 (.f64 -1/2 (.f64 x x)) x)
(fma.f64 -1/2 (*.f64 x x) (neg.f64 x))
(*.f64 x (fma.f64 x -1/2 -1))
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)
(fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x))
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)
(fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x))
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x 3) -5/12))) 1)
(*.f64 -5/12 (pow.f64 x 3))
(pow.f64 (*.f64 (pow.f64 x 3) -5/12) 1)
(*.f64 -5/12 (pow.f64 x 3))
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -5/12)) 2)
(*.f64 -5/12 (pow.f64 x 3))
(pow.f64 (*.f64 x (cbrt.f64 -5/12)) 3)
(*.f64 -5/12 (pow.f64 x 3))
(pow.f64 (pow.f64 (*.f64 (pow.f64 x 3) -5/12) 3) 1/3)
(*.f64 -5/12 (pow.f64 x 3))
(sqrt.f64 (*.f64 (pow.f64 x 6) 25/144))
(sqrt.f64 (*.f64 25/144 (pow.f64 x 6)))
(fabs.f64 (*.f64 -5/12 (pow.f64 x 3)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -5/12))
(*.f64 -5/12 (pow.f64 x 3))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x 3) -5/12))))
(*.f64 -5/12 (pow.f64 x 3))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 3) -5/12) 3))
(*.f64 -5/12 (pow.f64 x 3))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 3) -5/12)))
(*.f64 -5/12 (pow.f64 x 3))
(exp.f64 (log.f64 (*.f64 (pow.f64 x 3) -5/12)))
(*.f64 -5/12 (pow.f64 x 3))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 3) -5/12)))
(*.f64 -5/12 (pow.f64 x 3))
(+.f64 -1 (+.f64 (neg.f64 x) (.f64 x (.f64 x -1/2))))
(fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x))
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(+.f64 (-.f64 -1 x) (.f64 x (.f64 x -1/2)))
(fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x))
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(+.f64 (neg.f64 x) (+.f64 -1 (.f64 x (.f64 x -1/2))))
(fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x))
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(+.f64 (.f64 x (.f64 x -1/2)) (-.f64 -1 x))
(fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x))
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(+.f64 (+.f64 -1 (.f64 x (.f64 x -1/2))) (neg.f64 x))
(fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x))
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(+.f64 (+.f64 (.f64 x (.f64 x -1/2)) (neg.f64 x)) -1)
(fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x))
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(+.f64 (-.f64 (+.f64 -1 (.f64 x (.f64 x -1/2))) (exp.f64 (log1p.f64 x))) 1)
(fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x))
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(+.f64 (.f64 1 (+.f64 -1 (.f64 x (*.f64 x -1/2)))) (neg.f64 x))
(fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x))
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(+.f64 (.f64 (+.f64 -1 (.f64 x (*.f64 x -1/2))) 1) (neg.f64 x))
(fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x))
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(-.f64 -1 (-.f64 x (.f64 x (.f64 x -1/2))))
(fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x))
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(-.f64 (neg.f64 x) (-.f64 1 (.f64 x (.f64 x -1/2))))
(fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x))
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x)))) 1)
(fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x))
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(-.f64 (+.f64 -1 (.f64 x (.f64 x -1/2))) x)
(fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x))
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(-.f64 (/.f64 1 (+.f64 x -1)) (-.f64 (/.f64 x (/.f64 (+.f64 x -1) x)) (.f64 x (.f64 x -1/2))))
(+.f64 (-.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (/.f64 (+.f64 x -1) x))) (.f64 -1/2 (.f64 x x)))
(-.f64 (/.f64 1 (+.f64 x -1)) (.f64 x (-.f64 (/.f64 x (+.f64 x -1)) (.f64 x -1/2))))
(-.f64 (/.f64 1 (+.f64 x -1)) (.f64 x (+.f64 (/.f64 x (+.f64 x -1)) (.f64 x 1/2))))
(+.f64 (/.f64 1 (+.f64 x -1)) (.f64 x (-.f64 (.f64 x -1/2) (/.f64 x (+.f64 x -1)))))
(-.f64 (/.f64 -1 (+.f64 1 (fma.f64 x x (neg.f64 x)))) (-.f64 (/.f64 (pow.f64 x 3) (+.f64 1 (fma.f64 x x (neg.f64 x)))) (.f64 x (.f64 x -1/2))))
(+.f64 (-.f64 (/.f64 -1 (+.f64 1 (fma.f64 x x (neg.f64 x)))) (/.f64 (pow.f64 x 3) (+.f64 1 (fma.f64 x x (neg.f64 x))))) (.f64 -1/2 (.f64 x x)))
(-.f64 (fma.f64 x (.f64 x -1/2) (/.f64 -1 (+.f64 1 (-.f64 (.f64 x x) x)))) (/.f64 (pow.f64 x 3) (+.f64 1 (-.f64 (*.f64 x x) x))))
(-.f64 (fma.f64 x (*.f64 x -1/2) (/.f64 -1 (fma.f64 x (+.f64 x -1) 1))) (/.f64 (pow.f64 x 3) (fma.f64 x (+.f64 x -1) 1)))
(-.f64 (/.f64 -1 (fma.f64 x x (-.f64 1 x))) (fma.f64 x (*.f64 x 1/2) (/.f64 (pow.f64 x 3) (fma.f64 x x (-.f64 1 x)))))
(-.f64 (+.f64 (.f64 x (.f64 x -1/2)) (neg.f64 x)) 1)
(fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x))
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(-.f64 (+.f64 (.f64 x (.f64 x -1/2)) (/.f64 1 (+.f64 x -1))) (/.f64 x (/.f64 (+.f64 x -1) x)))
(+.f64 (-.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (/.f64 (+.f64 x -1) x))) (.f64 -1/2 (.f64 x x)))
(-.f64 (/.f64 1 (+.f64 x -1)) (.f64 x (-.f64 (/.f64 x (+.f64 x -1)) (.f64 x -1/2))))
(-.f64 (/.f64 1 (+.f64 x -1)) (.f64 x (+.f64 (/.f64 x (+.f64 x -1)) (.f64 x 1/2))))
(+.f64 (/.f64 1 (+.f64 x -1)) (.f64 x (-.f64 (.f64 x -1/2) (/.f64 x (+.f64 x -1)))))
(-.f64 (+.f64 (.f64 x (.f64 x -1/2)) (/.f64 -1 (+.f64 1 (fma.f64 x x (neg.f64 x))))) (/.f64 (pow.f64 x 3) (+.f64 1 (fma.f64 x x (neg.f64 x)))))
(+.f64 (-.f64 (/.f64 -1 (+.f64 1 (fma.f64 x x (neg.f64 x)))) (/.f64 (pow.f64 x 3) (+.f64 1 (fma.f64 x x (neg.f64 x))))) (.f64 -1/2 (.f64 x x)))
(-.f64 (fma.f64 x (.f64 x -1/2) (/.f64 -1 (+.f64 1 (-.f64 (.f64 x x) x)))) (/.f64 (pow.f64 x 3) (+.f64 1 (-.f64 (*.f64 x x) x))))
(-.f64 (fma.f64 x (*.f64 x -1/2) (/.f64 -1 (fma.f64 x (+.f64 x -1) 1))) (/.f64 (pow.f64 x 3) (fma.f64 x (+.f64 x -1) 1)))
(-.f64 (/.f64 -1 (fma.f64 x x (-.f64 1 x))) (fma.f64 x (*.f64 x 1/2) (/.f64 (pow.f64 x 3) (fma.f64 x x (-.f64 1 x)))))
(-.f64 (+.f64 (+.f64 -1 (.f64 x (.f64 x -1/2))) 0) x)
(fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x))
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(.f64 (fma.f64 -1/2 (.f64 x x) (-.f64 -1 x)) 1)
(fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x))
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(.f64 1 (fma.f64 -1/2 (.f64 x x) (-.f64 -1 x)))
(fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x))
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(.f64 (sqrt.f64 (fma.f64 -1/2 (.f64 x x) (-.f64 -1 x))) (sqrt.f64 (fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x))))
(fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x))
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 x x) (-.f64 -1 x))) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x))) 2))
(fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x))
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 x x) (-.f64 -1 x))) 2) (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x))))
(fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x))
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 x x) (-.f64 -1 x)))) (cbrt.f64 (fma.f64 -1/2 (.f64 x x) (-.f64 -1 x)))) (.f64 (sqrt.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 x x) (-.f64 -1 x)))) (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x)))))
(fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x))
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 -1/2 (.f64 x x) (-.f64 -1 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 x x) (-.f64 -1 x))) 2))) (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 -1/2 (.f64 x x) (-.f64 -1 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x))) 2))))
(.f64 (cbrt.f64 (sqrt.f64 (fma.f64 -1/2 (.f64 x x) (-.f64 -1 x)))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 x x) (-.f64 -1 x))) 2)) (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 -1/2 (.f64 x x) (-.f64 -1 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x))) 2)))))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 x x) (-.f64 -1 x))) 2) (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 -1/2 (.f64 x x) (-.f64 -1 x)))) (cbrt.f64 (sqrt.f64 (fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x))))))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x -1/2 -1) -1)) 2) (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (fma.f64 x -1/2 -1) -1))) (cbrt.f64 (sqrt.f64 (fma.f64 x (fma.f64 x -1/2 -1) -1)))))
(.f64 (.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 x x) (-.f64 -1 x))) (sqrt.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 x x) (-.f64 -1 x))))) (.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 x x) (-.f64 -1 x))) (sqrt.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x))))))
(fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x))
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 x x) (-.f64 -1 x))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 -1/2 (.f64 x x) (-.f64 -1 x))))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 x x) (-.f64 -1 x))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x))))))
(.f64 (cbrt.f64 (sqrt.f64 (fma.f64 -1/2 (.f64 x x) (-.f64 -1 x)))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 x x) (-.f64 -1 x))) 2)) (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 -1/2 (.f64 x x) (-.f64 -1 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x))) 2)))))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 x x) (-.f64 -1 x))) 2) (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 -1/2 (.f64 x x) (-.f64 -1 x)))) (cbrt.f64 (sqrt.f64 (fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x))))))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x -1/2 -1) -1)) 2) (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (fma.f64 x -1/2 -1) -1))) (cbrt.f64 (sqrt.f64 (fma.f64 x (fma.f64 x -1/2 -1) -1)))))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 x x) (-.f64 -1 x))) 3/2) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x))) 3/2))
(fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x))
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(.f64 (pow.f64 (pow.f64 (fma.f64 -1/2 (.f64 x x) (-.f64 -1 x)) 3) 1/6) (pow.f64 (pow.f64 (fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x)) 3) 1/6))
(fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x))
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(/.f64 (-.f64 (.f64 1/4 (pow.f64 x 4)) (pow.f64 (-.f64 -1 x) 2)) (-.f64 (.f64 x (*.f64 x -1/2)) (-.f64 -1 x)))
(/.f64 (-.f64 (.f64 1/4 (pow.f64 x 4)) (pow.f64 (-.f64 -1 x) 2)) (+.f64 (-.f64 (.f64 -1/2 (*.f64 x x)) -1) x))
(/.f64 (-.f64 (.f64 1/4 (pow.f64 x 4)) (pow.f64 (-.f64 -1 x) 2)) (+.f64 x (fma.f64 -1/2 (.f64 x x) 1)))
(/.f64 (-.f64 (.f64 1/4 (pow.f64 x 4)) (pow.f64 (-.f64 -1 x) 2)) (+.f64 x (fma.f64 x (.f64 x -1/2) 1)))
(/.f64 (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 (.f64 x (.f64 x -1/2)) 3)) (+.f64 (.f64 1/4 (pow.f64 x 4)) (.f64 (-.f64 -1 x) (-.f64 (-.f64 -1 x) (.f64 x (.f64 x -1/2))))))
(/.f64 (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 (.f64 -1/2 (.f64 x x)) 3)) (fma.f64 1/4 (pow.f64 x 4) (.f64 (-.f64 -1 x) (-.f64 (-.f64 -1 x) (.f64 -1/2 (*.f64 x x))))))
(/.f64 (+.f64 (pow.f64 (-.f64 -1 x) 3) (.f64 (pow.f64 (.f64 x x) 3) -1/8)) (fma.f64 (-.f64 -1 x) (-.f64 -1 (fma.f64 -1/2 (.f64 x x) x)) (.f64 1/4 (pow.f64 x 4))))
(/.f64 (fma.f64 (pow.f64 x 6) -1/8 (pow.f64 (-.f64 -1 x) 3)) (fma.f64 (-.f64 -1 x) (-.f64 -1 (.f64 x (fma.f64 x -1/2 1))) (.f64 1/4 (pow.f64 x 4))))
(/.f64 (.f64 1 (-.f64 (.f64 1/4 (pow.f64 x 4)) (pow.f64 (-.f64 -1 x) 2))) (-.f64 (.f64 x (.f64 x -1/2)) (-.f64 -1 x)))
(/.f64 (-.f64 (.f64 1/4 (pow.f64 x 4)) (pow.f64 (-.f64 -1 x) 2)) (+.f64 (-.f64 (.f64 -1/2 (*.f64 x x)) -1) x))
(/.f64 (-.f64 (.f64 1/4 (pow.f64 x 4)) (pow.f64 (-.f64 -1 x) 2)) (+.f64 x (fma.f64 -1/2 (.f64 x x) 1)))
(/.f64 (-.f64 (.f64 1/4 (pow.f64 x 4)) (pow.f64 (-.f64 -1 x) 2)) (+.f64 x (fma.f64 x (.f64 x -1/2) 1)))
(/.f64 (.f64 1 (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 (.f64 x (.f64 x -1/2)) 3))) (+.f64 (.f64 1/4 (pow.f64 x 4)) (.f64 (-.f64 -1 x) (-.f64 (-.f64 -1 x) (.f64 x (*.f64 x -1/2))))))
(/.f64 (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 (.f64 -1/2 (.f64 x x)) 3)) (fma.f64 1/4 (pow.f64 x 4) (.f64 (-.f64 -1 x) (-.f64 (-.f64 -1 x) (.f64 -1/2 (*.f64 x x))))))
(/.f64 (+.f64 (pow.f64 (-.f64 -1 x) 3) (.f64 (pow.f64 (.f64 x x) 3) -1/8)) (fma.f64 (-.f64 -1 x) (-.f64 -1 (fma.f64 -1/2 (.f64 x x) x)) (.f64 1/4 (pow.f64 x 4))))
(/.f64 (fma.f64 (pow.f64 x 6) -1/8 (pow.f64 (-.f64 -1 x) 3)) (fma.f64 (-.f64 -1 x) (-.f64 -1 (.f64 x (fma.f64 x -1/2 1))) (.f64 1/4 (pow.f64 x 4))))
(/.f64 (.f64 (-.f64 (.f64 1/4 (pow.f64 x 4)) (pow.f64 (-.f64 -1 x) 2)) 1) (-.f64 (.f64 x (.f64 x -1/2)) (-.f64 -1 x)))
(/.f64 (-.f64 (.f64 1/4 (pow.f64 x 4)) (pow.f64 (-.f64 -1 x) 2)) (+.f64 (-.f64 (.f64 -1/2 (*.f64 x x)) -1) x))
(/.f64 (-.f64 (.f64 1/4 (pow.f64 x 4)) (pow.f64 (-.f64 -1 x) 2)) (+.f64 x (fma.f64 -1/2 (.f64 x x) 1)))
(/.f64 (-.f64 (.f64 1/4 (pow.f64 x 4)) (pow.f64 (-.f64 -1 x) 2)) (+.f64 x (fma.f64 x (.f64 x -1/2) 1)))
(/.f64 (.f64 (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 (.f64 x (.f64 x -1/2)) 3)) 1) (+.f64 (.f64 1/4 (pow.f64 x 4)) (.f64 (-.f64 -1 x) (-.f64 (-.f64 -1 x) (.f64 x (*.f64 x -1/2))))))
(/.f64 (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 (.f64 -1/2 (.f64 x x)) 3)) (fma.f64 1/4 (pow.f64 x 4) (.f64 (-.f64 -1 x) (-.f64 (-.f64 -1 x) (.f64 -1/2 (*.f64 x x))))))
(/.f64 (+.f64 (pow.f64 (-.f64 -1 x) 3) (.f64 (pow.f64 (.f64 x x) 3) -1/8)) (fma.f64 (-.f64 -1 x) (-.f64 -1 (fma.f64 -1/2 (.f64 x x) x)) (.f64 1/4 (pow.f64 x 4))))
(/.f64 (fma.f64 (pow.f64 x 6) -1/8 (pow.f64 (-.f64 -1 x) 3)) (fma.f64 (-.f64 -1 x) (-.f64 -1 (.f64 x (fma.f64 x -1/2 1))) (.f64 1/4 (pow.f64 x 4))))
(/.f64 (-.f64 (pow.f64 (-.f64 -1 x) 2) (.f64 1/4 (pow.f64 x 4))) (-.f64 (-.f64 -1 x) (.f64 x (*.f64 x -1/2))))
(/.f64 (+.f64 (pow.f64 (-.f64 -1 x) 2) (.f64 -1/4 (pow.f64 x 4))) (-.f64 (-.f64 -1 x) (.f64 -1/2 (*.f64 x x))))
(/.f64 (+.f64 (pow.f64 (-.f64 -1 x) 2) (.f64 (pow.f64 x 4) -1/4)) (-.f64 -1 (fma.f64 -1/2 (.f64 x x) x)))
(/.f64 (fma.f64 (pow.f64 x 4) -1/4 (pow.f64 (-.f64 -1 x) 2)) (-.f64 -1 (*.f64 x (fma.f64 x -1/2 1))))
(/.f64 (-.f64 (.f64 (+.f64 -1 (.f64 x (.f64 x -1/2))) (+.f64 -1 (.f64 x (.f64 x -1/2)))) (.f64 x x)) (-.f64 (+.f64 -1 (.f64 x (.f64 x -1/2))) (neg.f64 x)))
(/.f64 (.f64 (+.f64 (+.f64 -1 (.f64 -1/2 (.f64 x x))) x) (fma.f64 -1/2 (.f64 x x) (-.f64 -1 x))) (-.f64 (+.f64 -1 (.f64 -1/2 (.f64 x x))) (neg.f64 x)))
(/.f64 (.f64 (fma.f64 -1/2 (.f64 x x) (-.f64 -1 x)) (+.f64 -1 (fma.f64 -1/2 (.f64 x x) x))) (+.f64 -1 (fma.f64 -1/2 (.f64 x x) x)))
(*.f64 (/.f64 (fma.f64 x (fma.f64 x -1/2 1) -1) (fma.f64 x (fma.f64 x -1/2 1) -1)) (fma.f64 x (fma.f64 x -1/2 -1) -1))
(pow.f64 (fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x)) 1)
(fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x))
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(pow.f64 (sqrt.f64 (fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x))) 2)
(fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x))
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x))) 3)
(fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x))
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(pow.f64 (pow.f64 (fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x)) 3) 1/3)
(fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x))
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(sqrt.f64 (pow.f64 (fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x)) 2))
(fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x))
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(log.f64 (exp.f64 (fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x))))
(fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x))
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x)))))
(fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x))
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(cbrt.f64 (pow.f64 (fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x)) 3))
(fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x))
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(expm1.f64 (log1p.f64 (fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x))))
(fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x))
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(exp.f64 (log.f64 (fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x))))
(fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x))
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(log1p.f64 (expm1.f64 (fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x))))
(fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x))
(fma.f64 x (fma.f64 x -1/2 -1) -1)

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 12 to 9 computations (25% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite64.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1332×	`add-sqr-sqrt`
1306×	`*-un-lft-identity`
1228×	`add-cube-cbrt`
1218×	`add-cbrt-cube`
1214×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	149	13
2	1734	13

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

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

simplify46.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1088×	`associate-*r/`
1080×	`associate-/l*`
970×	`associate-/r*`
940×	`fma-def`
666×	`associate-*l/`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	79	917
1	193	781
2	502	671
3	1606	665

Stop Event

1×	node limit

Counts

33 → 54

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

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

eval421.0ms (3.7%)

Compiler: Compiled 18086 to 12769 computations (29.4% saved)

prune129.0ms (1.1%)

Pruning

12 alts after pruning (6 fresh and 6 done)

	Pruned	Kept	Total
New	664	5	669
Fresh	0	1	1
Picked	1	0	1
Done	2	6	8
Total	667	12	679

Error

Counts

679 → 12

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) -1)
✓	0.0b	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
✓	61.5b	(/.f64 (log1p.f64 (neg.f64 x)) (log.f64 (+.f64 1 x)))
▶	0.8b	(/.f64 1 (+.f64 x -1))
✓	0.5b	(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
▶	0.8b	(-.f64 -1 (fma.f64 x x x))
✓	0.8b	(-.f64 -1 x)
▶	0.3b	(+.f64 (.f64 (pow.f64 x 3) -5/12) (/.f64 (-.f64 (.f64 (+.f64 -1 (.f64 x (.f64 x -1/2))) (+.f64 -1 (.f64 x (.f64 x -1/2)))) (.f64 x x)) (-.f64 (+.f64 -1 (.f64 x (*.f64 x -1/2))) (neg.f64 x))))
▶	0.3b	(+.f64 (.f64 (pow.f64 x 3) -5/12) (-.f64 (+.f64 -1 (.f64 x (*.f64 x -1/2))) x))
▶	0.8b	(+.f64 1 (-.f64 (/.f64 1 (+.f64 -1 x)) 1))
✓	0.5b	(.f64 (+.f64 1/2 (+.f64 (.f64 -1/12 x) (/.f64 1 x))) (log1p.f64 (neg.f64 x)))
	1.6b	-1

Compiler

Compiled 206 to 155 computations (24.8% saved)

localize21.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.1b	(*.f64 (pow.f64 x 3) -5/12)

Compiler

Compiled 53 to 38 computations (28.3% saved)

localize12.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 12 to 9 computations (25% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite50.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1394×	`add-sqr-sqrt`
1374×	`*-un-lft-identity`
1282×	`add-cube-cbrt`
1272×	`add-cbrt-cube`
1264×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	146	13
2	1712	13

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

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

Outputs

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

simplify55.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1328×	`associate-/r*`
1034×	`associate-r`
816×	`associate-l`
670×	`associate-*r/`
624×	`distribute-lft-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	88	992
1	224	858
2	755	736
3	3338	724

Stop Event

1×	node limit

Counts

36 → 62

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

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

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 28 to 23 computations (17.9% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite96.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1454×	`associate-*r/`
1076×	`associate-*l/`
752×	`*-commutative`
656×	`distribute-lft-in`
614×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	69
1	206	45
2	2788	45

Stop Event

1×	node limit

Counts

3 → 312

Calls

Call 1

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

Outputs

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

simplify188.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1166×	`associate-+r-`
692×	`distribute-lft-in`
614×	`distribute-rgt-in`
574×	`*-commutative`
498×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	666	17054
1	1874	16084
2	7313	16072

Stop Event

1×	node limit

Counts

348 → 420

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

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

localize5.0ms (0%)

Compiler: Compiled 13 to 5 computations (61.5% saved)

localize52.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (+.f64 -1 (.f64 x (.f64 x -1/2))) (+.f64 -1 (.f64 x (*.f64 x -1/2))))
✓	0.0b	(-.f64 (+.f64 -1 (.f64 x (.f64 x -1/2))) (neg.f64 x))
✓	0.0b	(/.f64 (-.f64 (.f64 (+.f64 -1 (.f64 x (.f64 x -1/2))) (+.f64 -1 (.f64 x (.f64 x -1/2)))) (.f64 x x)) (-.f64 (+.f64 -1 (.f64 x (.f64 x -1/2))) (neg.f64 x)))
	0.1b	(*.f64 (pow.f64 x 3) -5/12)

Compiler

Compiled 144 to 95 computations (34% saved)

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite117.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

716×	`associate-+l+`
374×	`add-sqr-sqrt`
362×	`pow1`
362×	`*-un-lft-identity`
354×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	167
1	357	63
2	5770	63

Stop Event

1×	node limit

Counts

3 → 355

Calls

Call 1

Inputs

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

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

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

Outputs

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

simplify140.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1024×	`associate-+l+`
876×	`fma-def`
714×	`+-commutative`
618×	`associate-l`
610×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	529	20493
1	1527	18637

Stop Event

1×	node limit

Counts

391 → 399

Calls

Call 1

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

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

eval972.0ms (8.6%)

Compiler: Compiled 25428 to 19121 computations (24.8% saved)

prune175.0ms (1.5%)

Pruning

13 alts after pruning (2 fresh and 11 done)

	Pruned	Kept	Total
New	910	1	911
Fresh	0	1	1
Picked	0	1	1
Done	0	10	10
Total	910	13	923

Error

Counts

923 → 13

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) -1)
✓	0.0b	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
✓	61.5b	(/.f64 (log1p.f64 (neg.f64 x)) (log.f64 (+.f64 1 x)))
✓	0.8b	(/.f64 1 (+.f64 x -1))
✓	0.5b	(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
✓	0.8b	(-.f64 -1 (fma.f64 x x x))
✓	0.8b	(-.f64 -1 x)
✓	0.3b	(+.f64 (.f64 (pow.f64 x 3) -5/12) (/.f64 (-.f64 (.f64 (+.f64 -1 (.f64 x (.f64 x -1/2))) (+.f64 -1 (.f64 x (.f64 x -1/2)))) (.f64 x x)) (-.f64 (+.f64 -1 (.f64 x (*.f64 x -1/2))) (neg.f64 x))))
✓	0.3b	(+.f64 (.f64 (pow.f64 x 3) -5/12) (-.f64 (+.f64 -1 (.f64 x (*.f64 x -1/2))) x))
	0.8b	(+.f64 1 (/.f64 1 (/.f64 1 (+.f64 -1 (/.f64 1 (+.f64 -1 x))))))
✓	0.8b	(+.f64 1 (-.f64 (/.f64 1 (+.f64 -1 x)) 1))
✓	0.5b	(.f64 (+.f64 1/2 (+.f64 (.f64 -1/12 x) (/.f64 1 x))) (log1p.f64 (neg.f64 x)))
	1.6b	-1

Compiler

Compiled 144 to 111 computations (22.9% saved)

regimes15.0ms (0.1%)

Counts

17 → 1

Calls

Call 1

Inputs
-1
(-.f64 -1 x)
(/.f64 1 (+.f64 x -1))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 -1 x)) 1))
(+.f64 1 (/.f64 1 (/.f64 1 (+.f64 -1 (/.f64 1 (+.f64 -1 x))))))
(pow.f64 (-.f64 x 1) -1)
(-.f64 -1 (fma.f64 x x x))
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(.f64 (+.f64 1/2 (+.f64 (.f64 -1/12 x) (/.f64 1 x))) (log1p.f64 (neg.f64 x)))
(+.f64 (.f64 (pow.f64 x 3) -5/12) (-.f64 (+.f64 -1 (.f64 x (*.f64 x -1/2))) x))
(+.f64 (.f64 (pow.f64 x 3) -5/12) (/.f64 (-.f64 (.f64 (+.f64 -1 (.f64 x (.f64 x -1/2))) (+.f64 -1 (.f64 x (.f64 x -1/2)))) (.f64 x x)) (-.f64 (+.f64 -1 (.f64 x (*.f64 x -1/2))) (neg.f64 x))))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(*.f64 (/.f64 1 (log1p.f64 x)) (log1p.f64 (neg.f64 x)))
(/.f64 (log1p.f64 (neg.f64 x)) (log.f64 (+.f64 1 x)))
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
(+.f64 (.f64 (pow.f64 x 3) -5/12) (fma.f64 -1/2 (.f64 x x) (-.f64 -1 x)))
(pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) -1)

Outputs
(pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) -1)

Calls

2 calls:

8.0ms	x
3.0ms	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))

Results

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

Compiler

Compiled 180 to 123 computations (31.7% saved)

regimes16.0ms (0.1%)

Counts

16 → 1

Calls

Call 1

Inputs
-1
(-.f64 -1 x)
(/.f64 1 (+.f64 x -1))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 -1 x)) 1))
(+.f64 1 (/.f64 1 (/.f64 1 (+.f64 -1 (/.f64 1 (+.f64 -1 x))))))
(pow.f64 (-.f64 x 1) -1)
(-.f64 -1 (fma.f64 x x x))
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(.f64 (+.f64 1/2 (+.f64 (.f64 -1/12 x) (/.f64 1 x))) (log1p.f64 (neg.f64 x)))
(+.f64 (.f64 (pow.f64 x 3) -5/12) (-.f64 (+.f64 -1 (.f64 x (*.f64 x -1/2))) x))
(+.f64 (.f64 (pow.f64 x 3) -5/12) (/.f64 (-.f64 (.f64 (+.f64 -1 (.f64 x (.f64 x -1/2))) (+.f64 -1 (.f64 x (.f64 x -1/2)))) (.f64 x x)) (-.f64 (+.f64 -1 (.f64 x (*.f64 x -1/2))) (neg.f64 x))))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(*.f64 (/.f64 1 (log1p.f64 x)) (log1p.f64 (neg.f64 x)))
(/.f64 (log1p.f64 (neg.f64 x)) (log.f64 (+.f64 1 x)))
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
(+.f64 (.f64 (pow.f64 x 3) -5/12) (fma.f64 -1/2 (.f64 x x) (-.f64 -1 x)))

Outputs
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))

Calls

2 calls:

9.0ms	x
3.0ms	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))

Results

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

Compiler

Compiled 172 to 120 computations (30.2% saved)

regimes9.0ms (0.1%)

Counts

11 → 1

Calls

Call 1

Inputs
-1
(-.f64 -1 x)
(/.f64 1 (+.f64 x -1))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 -1 x)) 1))
(+.f64 1 (/.f64 1 (/.f64 1 (+.f64 -1 (/.f64 1 (+.f64 -1 x))))))
(pow.f64 (-.f64 x 1) -1)
(-.f64 -1 (fma.f64 x x x))
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(.f64 (+.f64 1/2 (+.f64 (.f64 -1/12 x) (/.f64 1 x))) (log1p.f64 (neg.f64 x)))
(+.f64 (.f64 (pow.f64 x 3) -5/12) (-.f64 (+.f64 -1 (.f64 x (*.f64 x -1/2))) x))
(+.f64 (.f64 (pow.f64 x 3) -5/12) (/.f64 (-.f64 (.f64 (+.f64 -1 (.f64 x (.f64 x -1/2))) (+.f64 -1 (.f64 x (.f64 x -1/2)))) (.f64 x x)) (-.f64 (+.f64 -1 (.f64 x (*.f64 x -1/2))) (neg.f64 x))))

Outputs
(+.f64 (.f64 (pow.f64 x 3) -5/12) (-.f64 (+.f64 -1 (.f64 x (*.f64 x -1/2))) x))

Calls

1 calls:

6.0ms

Results

Error	Segments	Branch
0.3b	1	`x`

Compiler

Compiled 117 to 87 computations (25.6% saved)

regimes7.0ms (0.1%)

Counts

9 → 1

Calls

Call 1

Inputs
-1
(-.f64 -1 x)
(/.f64 1 (+.f64 x -1))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 -1 x)) 1))
(+.f64 1 (/.f64 1 (/.f64 1 (+.f64 -1 (/.f64 1 (+.f64 -1 x))))))
(pow.f64 (-.f64 x 1) -1)
(-.f64 -1 (fma.f64 x x x))
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(.f64 (+.f64 1/2 (+.f64 (.f64 -1/12 x) (/.f64 1 x))) (log1p.f64 (neg.f64 x)))

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

Calls

1 calls:

5.0ms

Results

Error	Segments	Branch
0.5b	1	`x`

Compiler

Compiled 66 to 51 computations (22.7% saved)

regimes6.0ms (0.1%)

Accuracy

Total -0.9b remaining (-113.2%)

Threshold costs -0.9b (-113.2%)

Counts

7 → 1

Calls

Call 1

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

Outputs
(-.f64 -1 x)

Calls

1 calls:

4.0ms

Results

Error	Segments	Branch
0.8b	1	`x`

Compiler

Compiled 45 to 36 computations (20% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

12×	`+-commutative`
8×	`sub-neg`
8×	`*-commutative`
2×	`neg-mul-1`
2×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	116
1	36	116
2	41	116
3	42	116

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) -1)
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(+.f64 (.f64 (pow.f64 x 3) -5/12) (-.f64 (+.f64 -1 (.f64 x (*.f64 x -1/2))) x))
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(-.f64 -1 x)
-1

Outputs
(pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) -1)
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(+.f64 (.f64 (pow.f64 x 3) -5/12) (-.f64 (+.f64 -1 (.f64 x (*.f64 x -1/2))) x))
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(-.f64 -1 x)
-1

Compiler

Compiled 47 to 35 computations (25.5% saved)

soundness0.0ms (0%)

end35.0ms (0.3%)

Compiler: Compiled 42 to 27 computations (35.7% saved)

Details

analyze460.0ms (4.1%)

sample5.6s (49.1%)

preprocess8.0ms (0.1%)

simplify14.0ms (0.1%)

eval1.0ms (0%)

prune1.0ms (0%)

localize13.0ms (0.1%)

series7.0ms (0.1%)

rewrite70.0ms (0.6%)

simplify92.0ms (0.8%)

localize6.0ms (0.1%)

series2.0ms (0%)

rewrite54.0ms (0.5%)

simplify59.0ms (0.5%)

eval176.0ms (1.6%)

prune47.0ms (0.4%)

localize9.0ms (0.1%)

series12.0ms (0.1%)

rewrite57.0ms (0.5%)

simplify90.0ms (0.8%)

localize2.0ms (0%)

localize8.0ms (0.1%)

localize9.0ms (0.1%)

series4.0ms (0%)

rewrite53.0ms (0.5%)

simplify65.0ms (0.6%)

localize10.0ms (0.1%)

series2.0ms (0%)

rewrite52.0ms (0.5%)

simplify52.0ms (0.5%)

eval821.0ms (7.3%)

prune60.0ms (0.5%)

localize96.0ms (0.8%)

series5.0ms (0%)

rewrite331.0ms (2.9%)

simplify160.0ms (1.4%)

localize16.0ms (0.1%)

series31.0ms (0.3%)

rewrite67.0ms (0.6%)

simplify74.0ms (0.7%)

localize5.0ms (0%)

series1.0ms (0%)

rewrite64.0ms (0.6%)

simplify46.0ms (0.4%)

eval421.0ms (3.7%)

prune129.0ms (1.1%)

localize21.0ms (0.2%)

localize12.0ms (0.1%)

series1.0ms (0%)

rewrite50.0ms (0.4%)

simplify55.0ms (0.5%)

localize12.0ms (0.1%)

series2.0ms (0%)

rewrite96.0ms (0.9%)

simplify188.0ms (1.7%)

localize5.0ms (0%)

localize52.0ms (0.5%)

series3.0ms (0%)

rewrite117.0ms (1%)

simplify140.0ms (1.2%)

eval972.0ms (8.6%)

prune175.0ms (1.5%)

regimes15.0ms (0.1%)

regimes16.0ms (0.1%)

regimes9.0ms (0.1%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

simplify7.0ms (0.1%)

soundness0.0ms (0%)

end35.0ms (0.3%)

Profiling