Details

analyze422.0ms (3.9%)

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)

sample5.7s (52.3%)

Results

3.9s	4128×	body	1024	valid
988.0ms	2111×	body	512	valid
487.0ms	416×	body	2048	valid
312.0ms	1601×	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))
▶	61.4b	(/.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)))
✓	4.2b	(log.f64 (-.f64 1 x))
✓	4.2b	(log.f64 (+.f64 1 x))

Compiler

Compiled 26 to 19 computations (26.9% saved)

series5.0ms (0%)

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)))
1.0ms	x	@	inf	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
0.0ms	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))

rewrite88.0ms (0.8%)

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))))))))

simplify107.0ms (1%)

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))

localize8.0ms (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)

series1.0ms (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))

rewrite52.0ms (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))))))))

simplify68.0ms (0.6%)

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

eval222.0ms (2%)

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

prune49.0ms (0.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	335	6	341
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	336	7	343

Error

Counts

343 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.4b	(fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x))
▶	62.8b	(/.f64 (neg.f64 x) (log.f64 (+.f64 1 x)))
✓	0.0b	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
▶	0.5b	(-.f64 -1 x)
▶	0.4b	(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
▶	0.1b	(*.f64 (/.f64 1 (log1p.f64 x)) (log1p.f64 (neg.f64 x)))
	1.1b	-1

Compiler

Compiled 89 to 65 computations (27% saved)

localize11.0ms (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)

series3.0ms (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))
0.0ms	x	@	-inf	(*.f64 (/.f64 1 (log1p.f64 x)) (log1p.f64 (neg.f64 x)))
0.0ms	x	@	0	(/.f64 1 (log1p.f64 x))
0.0ms	x	@	inf	(*.f64 (/.f64 1 (log1p.f64 x)) (log1p.f64 (neg.f64 x)))

rewrite88.0ms (0.8%)

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))))))))

simplify73.0ms (0.7%)

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 2 (neg.f64 (.f64 x (log.f64 x)))) (+.f64 (/.f64 (+.f64 (log.f64 -1) (log.f64 x)) (neg.f64 (log.f64 x))) (/.f64 (/.f64 (log.f64 -1) (.f64 (log.f64 x) (log.f64 x))) x)))
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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 1 (.f64 (.f64 x x) (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 3))) (-.f64 (+.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 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))

localize3.0ms (0%)

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

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (neg.f64 x) (log.f64 (+.f64 1 x)))
	4.2b	(log.f64 (+.f64 1 x))

Compiler

Compiled 19 to 12 computations (36.8% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite58.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1672×	`add-sqr-sqrt`
1656×	`*-un-lft-identity`
1546×	`add-cube-cbrt`
1528×	`add-cbrt-cube`
180×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	15
1	186	11
2	2526	11

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

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

Outputs

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

simplify83.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1254×	`+-commutative`
1070×	`associate--r+`
928×	`associate-/r*`
726×	`associate-*r/`
592×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	168	1783
1	450	1695
2	1815	1691
3	7400	1691

Stop Event

1×	node limit

Counts

49 → 90

Calls

Call 1

Inputs
-1
(-.f64 (*.f64 -1/2 x) 1)
(-.f64 (+.f64 (.f64 -1/2 x) (.f64 1/12 (pow.f64 x 2))) 1)
(-.f64 (+.f64 (.f64 -1/24 (pow.f64 x 3)) (+.f64 (.f64 -1/2 x) (*.f64 1/12 (pow.f64 x 2)))) 1)
(/.f64 x (log.f64 (/.f64 1 x)))
(+.f64 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2)) (/.f64 x (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2)) (+.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 (/.f64 1 x)) 3) x)) (/.f64 x (log.f64 (/.f64 1 x))))) (.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) x))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2)) (+.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 (/.f64 1 x)) 3) x)) (+.f64 (/.f64 x (log.f64 (/.f64 1 x))) (.f64 1/3 (/.f64 1 (.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 x 2))))))) (+.f64 (.f64 -1 (/.f64 (-.f64 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 3)) (.f64 1/2 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2)))) (.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) x))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (log.f64 (/.f64 1 x)) 3) (pow.f64 x 2)))))))
(.f64 -1 (/.f64 x (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(+.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2)) (.f64 -1 (/.f64 x (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))
(+.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2)) (+.f64 (.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))) x)) (.f64 -1 (/.f64 x (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2) (pow.f64 x 2)))) (+.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2)) (+.f64 (.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))) x)) (+.f64 (.f64 -1 (/.f64 x (+.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)) 3) (pow.f64 x 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 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 x 2)))))
(-.f64 0 (/.f64 x (log1p.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (log1p.f64 x)))) 1)
(-.f64 (/.f64 0 (log1p.f64 x)) (/.f64 x (log1p.f64 x)))
(*.f64 x (/.f64 1 (log1p.f64 x)))
(*.f64 x (/.f64 1 (neg.f64 (log1p.f64 x))))
(*.f64 1 (/.f64 x (log1p.f64 x)))
(*.f64 (/.f64 x (log1p.f64 x)) 1)
(*.f64 (sqrt.f64 (/.f64 x (log1p.f64 x))) (sqrt.f64 (/.f64 x (log1p.f64 x))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 1 (log1p.f64 x))))
(*.f64 (cbrt.f64 (/.f64 x (log1p.f64 x))) (pow.f64 (cbrt.f64 (/.f64 x (log1p.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (log1p.f64 x))) 2) (cbrt.f64 (/.f64 x (log1p.f64 x))))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (/.f64 1 (log1p.f64 x))))
(*.f64 -1 (/.f64 x (log1p.f64 x)))
(*.f64 (/.f64 1 (log1p.f64 x)) x)
(*.f64 (/.f64 1 (sqrt.f64 (log1p.f64 x))) (/.f64 x (sqrt.f64 (log1p.f64 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (/.f64 x (cbrt.f64 (log1p.f64 x))))
(*.f64 (/.f64 -1 (sqrt.f64 (log1p.f64 x))) (/.f64 x (sqrt.f64 (log1p.f64 x))))
(*.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (/.f64 x (cbrt.f64 (log1p.f64 x))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (log1p.f64 x)))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (log1p.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (log1p.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (log1p.f64 x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (log1p.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (cbrt.f64 (/.f64 x (log1p.f64 x))))
(pow.f64 (/.f64 x (log1p.f64 x)) 1)
(pow.f64 (sqrt.f64 (/.f64 x (log1p.f64 x))) 2)
(pow.f64 (cbrt.f64 (/.f64 x (log1p.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 x (log1p.f64 x)) 3) 1/3)
(pow.f64 (/.f64 (log1p.f64 x) x) -1)
(neg.f64 (/.f64 x (log1p.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 x (log1p.f64 x)) 2))
(log.f64 (exp.f64 (/.f64 x (log1p.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (log1p.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 x (log1p.f64 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 x (log1p.f64 x))))
(exp.f64 (log.f64 (/.f64 x (log1p.f64 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (log1p.f64 x))) 1))
(log1p.f64 (expm1.f64 (/.f64 x (log1p.f64 x))))

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

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 18 to 10 computations (44.4% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite57.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1814×	`add-sqr-sqrt`
1790×	`*-un-lft-identity`
1670×	`add-cube-cbrt`
1658×	`add-cbrt-cube`
182×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	190	21
2	2267	21

Stop Event

1×	node limit

Counts

1 → 25

Calls

Call 1

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

Outputs

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

simplify321.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

1076×	`associate-+l+`
1030×	`associate-+r+`
752×	`*-commutative`
696×	`distribute-lft-in`
646×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	71	987
1	186	827
2	840	697
3	3612	697

Stop Event

1×	node limit

Counts

37 → 47

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

localize296.0ms (2.7%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 25 to 11 computations (56% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite73.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

2006×	`add-sqr-sqrt`
1982×	`*-un-lft-identity`
1846×	`add-cube-cbrt`
1832×	`add-cbrt-cube`
218×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	25
1	229	21
2	2751	21

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

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

Outputs

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

simplify63.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1442×	`associate-+r+`
1234×	`associate-+l+`
1098×	`associate-r`
926×	`associate-l`
526×	`associate--r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	91	1615
1	215	1543
2	806	1353
3	4858	1353

Stop Event

1×	node limit

Counts

45 → 55

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

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

eval244.0ms (2.2%)

Compiler: Compiled 9992 to 6676 computations (33.2% saved)

prune69.0ms (0.6%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	399	4	403
Fresh	0	1	1
Picked	0	1	1
Done	2	3	5
Total	401	9	410

Error

Counts

410 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
▶	0.4b	(-.f64 (+.f64 (.f64 -1/2 (.f64 x x)) -1) x)
✓	0.5b	(-.f64 -1 x)
✓	0.4b	(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
✓	0.1b	(*.f64 (/.f64 1 (log1p.f64 x)) (log1p.f64 (neg.f64 x)))
▶	0.6b	(*.f64 (+.f64 (/.f64 1 x) 1/2) (log1p.f64 (neg.f64 x)))
▶	0.5b	(.f64 (+.f64 1/2 (+.f64 (.f64 -1/12 x) (/.f64 1 x))) (log1p.f64 (neg.f64 x)))
▶	61.4b	(.f64 x (.f64 x -1/2))
	1.1b	-1

Compiler

Compiled 72 to 54 computations (25% saved)

localize4.0ms (0%)

Compiler: Compiled 11 to 7 computations (36.4% saved)

localize18.0ms (0.2%)

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)))
✓	0.3b	(*.f64 -1/12 x)

Compiler

Compiled 45 to 30 computations (33.3% saved)

series3.0ms (0%)

Counts

4 → 21

Calls

12 calls:

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

rewrite129.0ms (1.2%)

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
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(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)))))

simplify235.0ms (2.2%)

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)))
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(.f64 (/.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 1/4 (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 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 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 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)) (-.f64 1/16 (.f64 (.f64 (fma.f64 -1/12 x (/.f64 1 x)) (-.f64 (fma.f64 -1/12 x (/.f64 1 x)) 1/2)) (.f64 (fma.f64 -1/12 x (/.f64 1 x)) (-.f64 (fma.f64 -1/12 x (/.f64 1 x)) 1/2))))) (-.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 1/64 (pow.f64 (.f64 (fma.f64 -1/12 x (/.f64 1 x)) (-.f64 (fma.f64 -1/12 x (/.f64 1 x)) 1/2)) 3))) (+.f64 1/16 (-.f64 (.f64 (.f64 (fma.f64 -1/12 x (/.f64 1 x)) (-.f64 (fma.f64 -1/12 x (/.f64 1 x)) 1/2)) (.f64 (fma.f64 -1/12 x (/.f64 1 x)) (-.f64 (fma.f64 -1/12 x (/.f64 1 x)) 1/2))) (.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 (/.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 1/2 (fma.f64 -1/12 x (/.f64 1 x))))
(/.f64 (+.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 (sqrt.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))) (sqrt.f64 (-.f64 1/4 (pow.f64 (fma.f64 -1/12 x (/.f64 1 x)) 2)))))
(/.f64 (sqrt.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))) (sqrt.f64 (+.f64 1/8 (pow.f64 (fma.f64 -1/12 x (/.f64 1 x)) 3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1/4 (pow.f64 (fma.f64 -1/12 x (/.f64 1 x)) 2))) (cbrt.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))) (cbrt.f64 (-.f64 1/4 (pow.f64 (fma.f64 -1/12 x (/.f64 1 x)) 2)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 1/8 (pow.f64 (fma.f64 -1/12 x (/.f64 1 x)) 3))) (cbrt.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))) (cbrt.f64 (+.f64 1/8 (pow.f64 (fma.f64 -1/12 x (/.f64 1 x)) 3)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 -1/12 x (/.f64 1 x)) 2) 1/4) (-.f64 (fma.f64 -1/12 x (/.f64 1 x)) 1/2))
(/.f64 (-.f64 (.f64 (+.f64 (.f64 -1/12 x) 1/2) (+.f64 (*.f64 -1/12 x) 1/2)) (pow.f64 x -2)) (+.f64 1/2 (fma.f64 -1/12 x (/.f64 1 x))))
(/.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 (+.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 1/16 (.f64 (pow.f64 (fma.f64 -1/12 x (/.f64 1 x)) 2) (pow.f64 (fma.f64 -1/12 x (/.f64 1 x)) 2))) (.f64 (-.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 (pow.f64 x -3) (pow.f64 (+.f64 (.f64 -1/12 x) 1/2) 3)) (+.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 1/512 (pow.f64 (pow.f64 (fma.f64 -1/12 x (/.f64 1 x)) 3) 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))) (+.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 1/64 (pow.f64 (pow.f64 (fma.f64 -1/12 x (/.f64 1 x)) 2) 3)) (.f64 (-.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 (neg.f64 (-.f64 1/4 (pow.f64 (fma.f64 -1/12 x (/.f64 1 x)) 2))) (neg.f64 (-.f64 1/2 (fma.f64 -1/12 x (/.f64 1 x)))))
(/.f64 (neg.f64 (+.f64 1/8 (pow.f64 (fma.f64 -1/12 x (/.f64 1 x)) 3))) (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 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 1/8 (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 (pow.f64 (fma.f64 -1/12 x (/.f64 1 x)) 2) 1/4) 1) (-.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)) 1) (+.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)) 1) (+.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))) 1) (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))) 1) (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 (sqrt.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 (sqrt.f64 (+.f64 1/8 (pow.f64 (fma.f64 -1/12 x (/.f64 1 x)) 3))) (sqrt.f64 (+.f64 1/2 (fma.f64 -1/12 x (/.f64 1 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 (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)))))
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(+.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))

localize11.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 26 to 16 computations (38.5% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite83.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1994×	`add-sqr-sqrt`
1966×	`*-un-lft-identity`
1840×	`add-cube-cbrt`
1820×	`add-cbrt-cube`
212×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	27
1	227	23
2	2769	23

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

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

simplify58.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1218×	`associate--l+`
924×	`+-commutative`
904×	`associate-r`
816×	`associate-l`
708×	`associate--r+`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	116	1167
1	318	1111
2	949	1097
3	4789	1079

Stop Event

1×	node limit

Counts

33 → 75

Calls

Call 1

Inputs
-1
(-.f64 (*.f64 -1 x) 1)
(-.f64 (+.f64 (.f64 -7/12 (pow.f64 x 2)) (.f64 -1 x)) 1)
(-.f64 (+.f64 (.f64 -7/12 (pow.f64 x 2)) (+.f64 (.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3)))) 1)
(.f64 1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)))
(-.f64 (+.f64 (.f64 1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1))) (+.f64 (/.f64 (log.f64 -1) x) (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) x)))) (.f64 1/2 (/.f64 1 x)))
(-.f64 (+.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 (log.f64 -1) x))) (+.f64 (.f64 1/2 (/.f64 1 x)) (*.f64 5/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.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 (log.f64 -1) x))) (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (.f64 5/4 (/.f64 1 (pow.f64 x 2))))))
(*.f64 -1/2 (log.f64 (/.f64 -1 x)))
(+.f64 (.f64 -1 (/.f64 (+.f64 1/2 (log.f64 (/.f64 -1 x))) x)) (.f64 -1/2 (log.f64 (/.f64 -1 x))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 1/2 (log.f64 (/.f64 -1 x))) x)) (.f64 -1/2 (log.f64 (/.f64 -1 x)))) (*.f64 5/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 1/2 (log.f64 (/.f64 -1 x))) x)) (.f64 -1/2 (log.f64 (/.f64 -1 x)))) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (.f64 5/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (.f64 (log1p.f64 x) (/.f64 1 x)) (.f64 (log1p.f64 x) 1/2))
(+.f64 (.f64 (log1p.f64 x) 1/2) (.f64 (log1p.f64 x) (/.f64 1 x)))
(+.f64 (.f64 (/.f64 1 x) (log1p.f64 x)) (.f64 1/2 (log1p.f64 x)))
(+.f64 (.f64 1/2 (log1p.f64 x)) (.f64 (/.f64 1 x) (log1p.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 (/.f64 1 x) 1/2) (log1p.f64 x)))) 1)
(/.f64 (*.f64 (log1p.f64 x) (+.f64 (pow.f64 x -2) -1/4)) (+.f64 (/.f64 1 x) -1/2))
(/.f64 (*.f64 (log1p.f64 x) (+.f64 1/8 (pow.f64 x -3))) (+.f64 (pow.f64 x -2) (-.f64 1/4 (/.f64 1/2 x))))
(/.f64 (*.f64 (+.f64 (pow.f64 x -2) -1/4) (log1p.f64 x)) (+.f64 (/.f64 1 x) -1/2))
(/.f64 (*.f64 (+.f64 1/8 (pow.f64 x -3)) (log1p.f64 x)) (+.f64 (pow.f64 x -2) (-.f64 1/4 (/.f64 1/2 x))))
(pow.f64 (*.f64 (+.f64 (/.f64 1 x) 1/2) (log1p.f64 x)) 1)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 (/.f64 1 x) 1/2) (log1p.f64 x))) 2)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1 x) 1/2) (log1p.f64 x))) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 x) 1/2) (log1p.f64 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 x) 1/2) (log1p.f64 x)) 2))
(log.f64 (pow.f64 (+.f64 1 x) (+.f64 (/.f64 1 x) 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 (/.f64 1 x) 1/2) (log1p.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 x) 1/2) (log1p.f64 x)) 3))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 (/.f64 1 x) 1/2) (log1p.f64 x))))
(exp.f64 (log.f64 (*.f64 (+.f64 (/.f64 1 x) 1/2) (log1p.f64 x))))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 (/.f64 1 x) 1/2) (log1p.f64 x))) 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 (/.f64 1 x) 1/2) (log1p.f64 x))))

Outputs
-1
(-.f64 (*.f64 -1 x) 1)
(fma.f64 -1 x -1)
(-.f64 -1 x)
(-.f64 (+.f64 (.f64 -7/12 (pow.f64 x 2)) (.f64 -1 x)) 1)
(+.f64 (fma.f64 -7/12 (*.f64 x x) (neg.f64 x)) -1)
(fma.f64 -7/12 (*.f64 x x) (fma.f64 -1 x -1))
(-.f64 (fma.f64 x (*.f64 x -7/12) -1) x)
(-.f64 (+.f64 (.f64 -7/12 (pow.f64 x 2)) (+.f64 (.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3)))) 1)
(+.f64 (fma.f64 -7/12 (.f64 x x) (fma.f64 -1 x (.f64 -5/12 (pow.f64 x 3)))) -1)
(+.f64 -1 (fma.f64 -7/12 (.f64 x x) (-.f64 (.f64 -5/12 (pow.f64 x 3)) x)))
(fma.f64 x (*.f64 x -7/12) (fma.f64 -5/12 (pow.f64 x 3) (-.f64 -1 x)))
(fma.f64 x (*.f64 x -7/12) (-.f64 (fma.f64 -5/12 (pow.f64 x 3) -1) x))
(.f64 1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)))
(*.f64 1/2 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)))
(*.f64 1/2 (+.f64 (log.f64 -1) (log.f64 x)))
(-.f64 (+.f64 (.f64 1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1))) (+.f64 (/.f64 (log.f64 -1) x) (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) x)))) (.f64 1/2 (/.f64 1 x)))
(-.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 (log.f64 -1) x))) (/.f64 1/2 x))
(+.f64 (fma.f64 1/2 (+.f64 (log.f64 -1) (log.f64 x)) (/.f64 (log.f64 -1) x)) (+.f64 (/.f64 (log.f64 x) x) (/.f64 -1/2 x)))
(+.f64 (/.f64 (log.f64 -1) x) (+.f64 (/.f64 (log.f64 x) x) (fma.f64 1/2 (+.f64 (log.f64 -1) (log.f64 x)) (/.f64 -1/2 x))))
(+.f64 (/.f64 (log.f64 -1) x) (+.f64 (fma.f64 1/2 (+.f64 (log.f64 -1) (log.f64 x)) (/.f64 (log.f64 x) x)) (/.f64 -1/2 x)))
(-.f64 (+.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 (log.f64 -1) x))) (+.f64 (.f64 1/2 (/.f64 1 x)) (*.f64 5/4 (/.f64 1 (pow.f64 x 2)))))
(-.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 (log.f64 -1) x))) (+.f64 (/.f64 1/2 x) (/.f64 5/4 (*.f64 x x))))
(+.f64 (fma.f64 1/2 (+.f64 (log.f64 -1) (log.f64 x)) (/.f64 (log.f64 -1) x)) (+.f64 (/.f64 (log.f64 x) x) (+.f64 (/.f64 -5/4 (*.f64 x x)) (/.f64 -1/2 x))))
(+.f64 (/.f64 (log.f64 x) x) (+.f64 (fma.f64 1/2 (+.f64 (log.f64 -1) (log.f64 x)) (/.f64 (log.f64 -1) x)) (+.f64 (/.f64 (/.f64 -5/4 x) x) (/.f64 -1/2 x))))
(+.f64 (/.f64 (log.f64 -1) x) (+.f64 (fma.f64 1/2 (+.f64 (log.f64 -1) (log.f64 x)) (/.f64 (log.f64 x) x)) (fma.f64 (pow.f64 x -2) -5/4 (/.f64 -1/2 x))))
(-.f64 (+.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 (log.f64 -1) x))) (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (.f64 5/4 (/.f64 1 (pow.f64 x 2))))))
(-.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 (log.f64 -1) x))) (+.f64 (/.f64 1/2 x) (+.f64 (/.f64 5/4 (*.f64 x x)) (/.f64 2/3 (pow.f64 x 3)))))
(+.f64 (fma.f64 1/2 (+.f64 (log.f64 -1) (log.f64 x)) (/.f64 (log.f64 x) x)) (-.f64 (/.f64 (log.f64 -1) x) (+.f64 (/.f64 1/2 x) (+.f64 (/.f64 (/.f64 5/4 x) x) (/.f64 2/3 (pow.f64 x 3))))))
(+.f64 (/.f64 (log.f64 x) x) (-.f64 (fma.f64 1/2 (+.f64 (log.f64 -1) (log.f64 x)) (/.f64 (log.f64 -1) x)) (+.f64 (/.f64 1/2 x) (+.f64 (/.f64 (/.f64 5/4 x) x) (/.f64 2/3 (pow.f64 x 3))))))
(+.f64 (/.f64 (log.f64 -1) x) (-.f64 (-.f64 (fma.f64 1/2 (+.f64 (log.f64 -1) (log.f64 x)) (/.f64 (log.f64 x) x)) (/.f64 2/3 (pow.f64 x 3))) (fma.f64 5/4 (pow.f64 x -2) (/.f64 1/2 x))))
(*.f64 -1/2 (log.f64 (/.f64 -1 x)))
(+.f64 (.f64 -1 (/.f64 (+.f64 1/2 (log.f64 (/.f64 -1 x))) x)) (.f64 -1/2 (log.f64 (/.f64 -1 x))))
(fma.f64 -1 (/.f64 (+.f64 1/2 (log.f64 (/.f64 -1 x))) x) (*.f64 -1/2 (log.f64 (/.f64 -1 x))))
(-.f64 (*.f64 -1/2 (log.f64 (/.f64 -1 x))) (/.f64 (+.f64 1/2 (log.f64 (/.f64 -1 x))) x))
(fma.f64 -1/2 (log.f64 (/.f64 -1 x)) (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) -1/2) x))
(fma.f64 -1/2 (log.f64 (/.f64 -1 x)) (/.f64 (-.f64 -1/2 (log.f64 (/.f64 -1 x))) x))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 1/2 (log.f64 (/.f64 -1 x))) x)) (.f64 -1/2 (log.f64 (/.f64 -1 x)))) (*.f64 5/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -1 (/.f64 (+.f64 1/2 (log.f64 (/.f64 -1 x))) x) (.f64 -1/2 (log.f64 (/.f64 -1 x)))) (/.f64 5/4 (.f64 x x)))
(fma.f64 -1 (/.f64 (+.f64 1/2 (log.f64 (/.f64 -1 x))) x) (fma.f64 -1/2 (log.f64 (/.f64 -1 x)) (/.f64 -5/4 (*.f64 x x))))
(-.f64 (fma.f64 -1/2 (log.f64 (/.f64 -1 x)) (/.f64 (/.f64 -5/4 x) x)) (/.f64 (+.f64 1/2 (log.f64 (/.f64 -1 x))) x))
(fma.f64 (pow.f64 x -2) -5/4 (fma.f64 -1/2 (log.f64 (/.f64 -1 x)) (/.f64 (-.f64 -1/2 (log.f64 (/.f64 -1 x))) x)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 1/2 (log.f64 (/.f64 -1 x))) x)) (.f64 -1/2 (log.f64 (/.f64 -1 x)))) (+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (.f64 5/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (fma.f64 -1 (/.f64 (+.f64 1/2 (log.f64 (/.f64 -1 x))) x) (.f64 -1/2 (log.f64 (/.f64 -1 x)))) (+.f64 (/.f64 5/4 (.f64 x x)) (/.f64 2/3 (pow.f64 x 3))))
(-.f64 (fma.f64 -1 (/.f64 (+.f64 1/2 (log.f64 (/.f64 -1 x))) x) (fma.f64 -1/2 (log.f64 (/.f64 -1 x)) (/.f64 -5/4 (*.f64 x x)))) (/.f64 2/3 (pow.f64 x 3)))
(-.f64 (+.f64 (fma.f64 -1/2 (log.f64 (/.f64 -1 x)) (/.f64 (/.f64 -5/4 x) x)) (/.f64 -2/3 (pow.f64 x 3))) (/.f64 (+.f64 1/2 (log.f64 (/.f64 -1 x))) x))
(-.f64 (fma.f64 -1/2 (log.f64 (/.f64 -1 x)) (fma.f64 (pow.f64 x -2) -5/4 (/.f64 -2/3 (pow.f64 x 3)))) (/.f64 (+.f64 1/2 (log.f64 (/.f64 -1 x))) x))
(+.f64 (.f64 (log1p.f64 x) (/.f64 1 x)) (.f64 (log1p.f64 x) 1/2))
(*.f64 (log1p.f64 x) (+.f64 1/2 (/.f64 1 x)))
(fma.f64 1/2 (log1p.f64 x) (/.f64 (log1p.f64 x) x))
(+.f64 (.f64 (log1p.f64 x) 1/2) (.f64 (log1p.f64 x) (/.f64 1 x)))
(*.f64 (log1p.f64 x) (+.f64 1/2 (/.f64 1 x)))
(fma.f64 1/2 (log1p.f64 x) (/.f64 (log1p.f64 x) x))
(+.f64 (.f64 (/.f64 1 x) (log1p.f64 x)) (.f64 1/2 (log1p.f64 x)))
(*.f64 (log1p.f64 x) (+.f64 1/2 (/.f64 1 x)))
(fma.f64 1/2 (log1p.f64 x) (/.f64 (log1p.f64 x) x))
(+.f64 (.f64 1/2 (log1p.f64 x)) (.f64 (/.f64 1 x) (log1p.f64 x)))
(*.f64 (log1p.f64 x) (+.f64 1/2 (/.f64 1 x)))
(fma.f64 1/2 (log1p.f64 x) (/.f64 (log1p.f64 x) x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 (/.f64 1 x) 1/2) (log1p.f64 x)))) 1)
(*.f64 (log1p.f64 x) (+.f64 1/2 (/.f64 1 x)))
(fma.f64 1/2 (log1p.f64 x) (/.f64 (log1p.f64 x) x))
(/.f64 (*.f64 (log1p.f64 x) (+.f64 (pow.f64 x -2) -1/4)) (+.f64 (/.f64 1 x) -1/2))
(*.f64 (log1p.f64 x) (/.f64 (+.f64 (pow.f64 x -2) -1/4) (+.f64 (/.f64 1 x) -1/2)))
(/.f64 (*.f64 (log1p.f64 x) (+.f64 1/8 (pow.f64 x -3))) (+.f64 (pow.f64 x -2) (-.f64 1/4 (/.f64 1/2 x))))
(/.f64 (log1p.f64 x) (/.f64 (+.f64 (pow.f64 x -2) (-.f64 1/4 (/.f64 1/2 x))) (+.f64 1/8 (pow.f64 x -3))))
(*.f64 (/.f64 (+.f64 1/8 (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (+.f64 1/4 (/.f64 -1/2 x)))) (log1p.f64 x))
(*.f64 (+.f64 1/8 (pow.f64 x -3)) (/.f64 (log1p.f64 x) (+.f64 (pow.f64 x -2) (+.f64 1/4 (/.f64 -1/2 x)))))
(*.f64 (+.f64 1/8 (pow.f64 x -3)) (/.f64 (log1p.f64 x) (+.f64 (pow.f64 x -2) (-.f64 1/4 (/.f64 1/2 x)))))
(/.f64 (*.f64 (+.f64 (pow.f64 x -2) -1/4) (log1p.f64 x)) (+.f64 (/.f64 1 x) -1/2))
(/.f64 (*.f64 (log1p.f64 x) (+.f64 (pow.f64 x -2) -1/4)) (+.f64 (/.f64 1 x) -1/2))
(*.f64 (log1p.f64 x) (/.f64 (+.f64 (pow.f64 x -2) -1/4) (+.f64 (/.f64 1 x) -1/2)))
(/.f64 (*.f64 (+.f64 1/8 (pow.f64 x -3)) (log1p.f64 x)) (+.f64 (pow.f64 x -2) (-.f64 1/4 (/.f64 1/2 x))))
(/.f64 (log1p.f64 x) (/.f64 (+.f64 (pow.f64 x -2) (-.f64 1/4 (/.f64 1/2 x))) (+.f64 1/8 (pow.f64 x -3))))
(*.f64 (/.f64 (+.f64 1/8 (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (+.f64 1/4 (/.f64 -1/2 x)))) (log1p.f64 x))
(*.f64 (+.f64 1/8 (pow.f64 x -3)) (/.f64 (log1p.f64 x) (+.f64 (pow.f64 x -2) (+.f64 1/4 (/.f64 -1/2 x)))))
(*.f64 (+.f64 1/8 (pow.f64 x -3)) (/.f64 (log1p.f64 x) (+.f64 (pow.f64 x -2) (-.f64 1/4 (/.f64 1/2 x)))))
(pow.f64 (*.f64 (+.f64 (/.f64 1 x) 1/2) (log1p.f64 x)) 1)
(*.f64 (log1p.f64 x) (+.f64 1/2 (/.f64 1 x)))
(fma.f64 1/2 (log1p.f64 x) (/.f64 (log1p.f64 x) x))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 (/.f64 1 x) 1/2) (log1p.f64 x))) 2)
(*.f64 (log1p.f64 x) (+.f64 1/2 (/.f64 1 x)))
(fma.f64 1/2 (log1p.f64 x) (/.f64 (log1p.f64 x) x))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1 x) 1/2) (log1p.f64 x))) 3)
(*.f64 (log1p.f64 x) (+.f64 1/2 (/.f64 1 x)))
(fma.f64 1/2 (log1p.f64 x) (/.f64 (log1p.f64 x) x))
(pow.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 x) 1/2) (log1p.f64 x)) 3) 1/3)
(*.f64 (log1p.f64 x) (+.f64 1/2 (/.f64 1 x)))
(fma.f64 1/2 (log1p.f64 x) (/.f64 (log1p.f64 x) x))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 x) 1/2) (log1p.f64 x)) 2))
(*.f64 (log1p.f64 x) (+.f64 1/2 (/.f64 1 x)))
(fma.f64 1/2 (log1p.f64 x) (/.f64 (log1p.f64 x) x))
(log.f64 (pow.f64 (+.f64 1 x) (+.f64 (/.f64 1 x) 1/2)))
(*.f64 (log1p.f64 x) (+.f64 1/2 (/.f64 1 x)))
(fma.f64 1/2 (log1p.f64 x) (/.f64 (log1p.f64 x) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 (/.f64 1 x) 1/2) (log1p.f64 x)))))
(*.f64 (log1p.f64 x) (+.f64 1/2 (/.f64 1 x)))
(fma.f64 1/2 (log1p.f64 x) (/.f64 (log1p.f64 x) x))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 x) 1/2) (log1p.f64 x)) 3))
(*.f64 (log1p.f64 x) (+.f64 1/2 (/.f64 1 x)))
(fma.f64 1/2 (log1p.f64 x) (/.f64 (log1p.f64 x) x))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 (/.f64 1 x) 1/2) (log1p.f64 x))))
(*.f64 (log1p.f64 x) (+.f64 1/2 (/.f64 1 x)))
(fma.f64 1/2 (log1p.f64 x) (/.f64 (log1p.f64 x) x))
(exp.f64 (log.f64 (*.f64 (+.f64 (/.f64 1 x) 1/2) (log1p.f64 x))))
(*.f64 (log1p.f64 x) (+.f64 1/2 (/.f64 1 x)))
(fma.f64 1/2 (log1p.f64 x) (/.f64 (log1p.f64 x) x))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 (/.f64 1 x) 1/2) (log1p.f64 x))) 1))
(*.f64 (log1p.f64 x) (+.f64 1/2 (/.f64 1 x)))
(fma.f64 1/2 (log1p.f64 x) (/.f64 (log1p.f64 x) x))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 (/.f64 1 x) 1/2) (log1p.f64 x))))
(*.f64 (log1p.f64 x) (+.f64 1/2 (/.f64 1 x)))
(fma.f64 1/2 (log1p.f64 x) (/.f64 (log1p.f64 x) x))

localize37.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 28 to 15 computations (46.4% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite84.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

922×	`associate-*r/`
914×	`*-commutative`
772×	`associate-*l/`
706×	`distribute-lft-in`
684×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	34
1	206	34
2	2768	34

Stop Event

1×	node limit

Counts

2 → 138

Calls

Call 1

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

Outputs

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

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

simplify204.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1640×	`associate-+l-`
1626×	`associate-*r/`
1236×	`+-commutative`
1078×	`associate-+r-`
804×	`associate--r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	350	8438
1	989	7576
2	4708	7562

Stop Event

1×	node limit

Counts

162 → 231

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

eval455.0ms (4.2%)

Compiler: Compiled 22670 to 15618 computations (31.1% saved)

prune154.0ms (1.4%)

Pruning

9 alts after pruning (3 fresh and 6 done)

	Pruned	Kept	Total
New	818	2	820
Fresh	0	1	1
Picked	1	0	1
Done	1	6	7
Total	820	9	829

Error

Counts

829 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
▶	0.4b	(-.f64 (fma.f64 x (*.f64 x -7/12) -1) x)
✓	0.5b	(-.f64 -1 x)
▶	0.4b	(+.f64 (.f64 x (-.f64 (.f64 -1/2 x) 1)) -1)
✓	0.1b	(*.f64 (/.f64 1 (log1p.f64 x)) (log1p.f64 (neg.f64 x)))
✓	0.6b	(*.f64 (+.f64 (/.f64 1 x) 1/2) (log1p.f64 (neg.f64 x)))
✓	0.5b	(.f64 (+.f64 1/2 (+.f64 (.f64 -1/12 x) (/.f64 1 x))) (log1p.f64 (neg.f64 x)))
✓	61.4b	(.f64 x (.f64 x -1/2))
	1.1b	-1

Compiler

Compiled 71 to 54 computations (23.9% saved)

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 29 to 22 computations (24.1% saved)

series5.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(+.f64 (.f64 x (-.f64 (.f64 -1/2 x) 1)) -1)
0.0ms	x	@	inf	(+.f64 (.f64 x (-.f64 (.f64 -1/2 x) 1)) -1)
0.0ms	x	@	inf	(.f64 x (-.f64 (.f64 -1/2 x) 1))
0.0ms	x	@	0	(+.f64 (.f64 x (-.f64 (.f64 -1/2 x) 1)) -1)
0.0ms	x	@	-inf	(.f64 x (-.f64 (.f64 -1/2 x) 1))

rewrite78.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

866×	`*-commutative`
854×	`associate-*r/`
662×	`associate-*l/`
644×	`unswap-sqr`
532×	`swap-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	32
1	216	32
2	2606	32

Stop Event

1×	node limit

Counts

2 → 125

Calls

Call 1

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

Outputs

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

simplify93.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

916×	`associate-/l/`
794×	`associate-/r/`
490×	`associate-+r+`
478×	`associate-+l+`
436×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	339	6535
1	893	6197
2	3609	6039

Stop Event

1×	node limit

Counts

149 → 195

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

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

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (fma.f64 x (*.f64 x -7/12) -1) x)
✓	0.4b	(*.f64 x -7/12)

Compiler

Compiled 21 to 14 computations (33.3% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(*.f64 x -7/12)
0.0ms	x	@	0	(*.f64 x -7/12)
0.0ms	x	@	-inf	(*.f64 x -7/12)
0.0ms	x	@	-inf	(-.f64 (fma.f64 x (*.f64 x -7/12) -1) x)
0.0ms	x	@	0	(-.f64 (fma.f64 x (*.f64 x -7/12) -1) x)

rewrite66.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1942×	`add-sqr-sqrt`
1916×	`*-un-lft-identity`
1792×	`add-cube-cbrt`
1774×	`add-cbrt-cube`
186×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	28
1	190	28
2	2321	28

Stop Event

1×	node limit

Counts

2 → 52

Calls

Call 1

Inputs
(*.f64 x -7/12)
(-.f64 (fma.f64 x (*.f64 x -7/12) -1) x)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x -7/12))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x -7/12) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x -7/12)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x -7/12)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x -7/12) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x x) 49/144))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) -7/12))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x -7/12))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x -7/12) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x -7/12)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x -7/12)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x -7/12)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x -7/12)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (*.f64 x -7/12) -1) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (*.f64 x -7/12) -1) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 x (*.f64 x -7/12) -1) x) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 x (*.f64 x -7/12) -1) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 x (*.f64 x -7/12) -1) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) (fma.f64 x (*.f64 x -7/12) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x -7/12)) (+.f64 -1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x -7/12)) (-.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (fma.f64 x (*.f64 x -7/12) -1) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (fma.f64 x (*.f64 x -7/12) -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (fma.f64 x (*.f64 x -7/12) -1) x)) (sqrt.f64 (-.f64 (fma.f64 x (*.f64 x -7/12) -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (fma.f64 x (*.f64 x -7/12) -1) x)) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x (*.f64 x -7/12) -1) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x (*.f64 x -7/12) -1) x)) 2) (cbrt.f64 (-.f64 (fma.f64 x (*.f64 x -7/12) -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -7/12) -1) 2) (*.f64 x x)) (/.f64 1 (+.f64 x (fma.f64 x (*.f64 x -7/12) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -7/12) -1) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x (*.f64 x -7/12) -1) 2) (*.f64 x (+.f64 x (fma.f64 x (*.f64 x -7/12) -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (fma.f64 x (*.f64 x -7/12) -1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (fma.f64 x (*.f64 x -7/12) -1)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (fma.f64 x (*.f64 x -7/12) -1)) (-.f64 (pow.f64 (fma.f64 x (*.f64 x -7/12) -1) 2) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 x -7/12) -1) 2) (*.f64 x (+.f64 x (fma.f64 x (*.f64 x -7/12) -1)))) (-.f64 (pow.f64 (fma.f64 x (*.f64 x -7/12) -1) 3) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -7/12) -1) 2) (*.f64 x x)) (+.f64 x (fma.f64 x (*.f64 x -7/12) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -7/12) -1) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (fma.f64 x (*.f64 x -7/12) -1) 2) (*.f64 x (+.f64 x (fma.f64 x (*.f64 x -7/12) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -7/12) -1) 2) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (fma.f64 x (*.f64 x -7/12) -1) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 x -7/12) -1) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (pow.f64 (fma.f64 x (*.f64 x -7/12) -1) 2) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (fma.f64 x (*.f64 x -7/12) -1) (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -7/12) -1) 2) (*.f64 x x))) (neg.f64 (+.f64 x (fma.f64 x (*.f64 x -7/12) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -7/12) -1) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 x -7/12) -1) 2) (*.f64 x (+.f64 x (fma.f64 x (*.f64 x -7/12) -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (fma.f64 x (*.f64 x -7/12) -1) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (fma.f64 x (*.f64 x -7/12) -1) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (fma.f64 x (*.f64 x -7/12) -1) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (fma.f64 x (*.f64 x -7/12) -1) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (fma.f64 x (*.f64 x -7/12) -1) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (fma.f64 x (*.f64 x -7/12) -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (fma.f64 x (*.f64 x -7/12) -1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (fma.f64 x (*.f64 x -7/12) -1) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (fma.f64 x (*.f64 x -7/12) -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (fma.f64 x (*.f64 x -7/12) -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (fma.f64 x (*.f64 x -7/12) -1) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (fma.f64 x (*.f64 x -7/12) -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 x (*.f64 x -7/12) -1) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 x (*.f64 x -7/12) -1)) (sqrt.f64 (fma.f64 x (*.f64 x -7/12) -1)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -7/12) -1)) 2) (cbrt.f64 (fma.f64 x (*.f64 x -7/12) -1)) (neg.f64 x))))))

simplify80.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1166×	`associate-+r-`
1052×	`fma-def`
912×	`+-commutative`
806×	`distribute-lft-in`
722×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	140	1802
1	362	1722
2	1551	1568
3	6962	1568

Stop Event

1×	node limit

Counts

76 → 74

Calls

Call 1

Inputs
(*.f64 -7/12 x)
(*.f64 -7/12 x)
(*.f64 -7/12 x)
(*.f64 -7/12 x)
(*.f64 -7/12 x)
(*.f64 -7/12 x)
(*.f64 -7/12 x)
(*.f64 -7/12 x)
(*.f64 -7/12 x)
(*.f64 -7/12 x)
(*.f64 -7/12 x)
(*.f64 -7/12 x)
-1
(-.f64 (*.f64 -1 x) 1)
(-.f64 (+.f64 (.f64 -7/12 (pow.f64 x 2)) (.f64 -1 x)) 1)
(-.f64 (+.f64 (.f64 -7/12 (pow.f64 x 2)) (.f64 -1 x)) 1)
(*.f64 -7/12 (pow.f64 x 2))
(+.f64 (.f64 -7/12 (pow.f64 x 2)) (.f64 -1 x))
(-.f64 (+.f64 (.f64 -7/12 (pow.f64 x 2)) (.f64 -1 x)) 1)
(-.f64 (+.f64 (.f64 -7/12 (pow.f64 x 2)) (.f64 -1 x)) 1)
(*.f64 -7/12 (pow.f64 x 2))
(+.f64 (.f64 -7/12 (pow.f64 x 2)) (.f64 -1 x))
(-.f64 (+.f64 (.f64 -7/12 (pow.f64 x 2)) (.f64 -1 x)) 1)
(-.f64 (+.f64 (.f64 -7/12 (pow.f64 x 2)) (.f64 -1 x)) 1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x -7/12))) 1)
(pow.f64 (*.f64 x -7/12) 1)
(pow.f64 (sqrt.f64 (*.f64 x -7/12)) 2)
(pow.f64 (cbrt.f64 (*.f64 x -7/12)) 3)
(pow.f64 (pow.f64 (*.f64 x -7/12) 3) 1/3)
(sqrt.f64 (.f64 (.f64 x x) 49/144))
(log.f64 (pow.f64 (exp.f64 x) -7/12))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x -7/12))))
(cbrt.f64 (pow.f64 (*.f64 x -7/12) 3))
(expm1.f64 (log1p.f64 (*.f64 x -7/12)))
(exp.f64 (log.f64 (*.f64 x -7/12)))
(exp.f64 (.f64 (log.f64 (.f64 x -7/12)) 1))
(log1p.f64 (expm1.f64 (*.f64 x -7/12)))
(+.f64 (fma.f64 x (*.f64 x -7/12) -1) (neg.f64 x))
(+.f64 (fma.f64 x (.f64 x -7/12) -1) (.f64 (neg.f64 x) 1))
(+.f64 (-.f64 (fma.f64 x (*.f64 x -7/12) -1) x) (fma.f64 (neg.f64 x) 1 x))
(+.f64 (-.f64 (fma.f64 x (*.f64 x -7/12) -1) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(+.f64 (-.f64 (fma.f64 x (*.f64 x -7/12) -1) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(+.f64 (neg.f64 x) (fma.f64 x (*.f64 x -7/12) -1))
(+.f64 (.f64 x (.f64 x -7/12)) (+.f64 -1 (neg.f64 x)))
(+.f64 (.f64 x (.f64 x -7/12)) (-.f64 -1 x))
(.f64 (-.f64 (fma.f64 x (.f64 x -7/12) -1) x) 1)
(.f64 1 (-.f64 (fma.f64 x (.f64 x -7/12) -1) x))
(.f64 (sqrt.f64 (-.f64 (fma.f64 x (.f64 x -7/12) -1) x)) (sqrt.f64 (-.f64 (fma.f64 x (*.f64 x -7/12) -1) x)))
(.f64 (cbrt.f64 (-.f64 (fma.f64 x (.f64 x -7/12) -1) x)) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x (*.f64 x -7/12) -1) x)) 2))
(.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x (.f64 x -7/12) -1) x)) 2) (cbrt.f64 (-.f64 (fma.f64 x (*.f64 x -7/12) -1) x)))
(.f64 (-.f64 (pow.f64 (fma.f64 x (.f64 x -7/12) -1) 2) (.f64 x x)) (/.f64 1 (+.f64 x (fma.f64 x (.f64 x -7/12) -1))))
(.f64 (-.f64 (pow.f64 (fma.f64 x (.f64 x -7/12) -1) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x (.f64 x -7/12) -1) 2) (.f64 x (+.f64 x (fma.f64 x (*.f64 x -7/12) -1))))))
(.f64 (+.f64 (sqrt.f64 (fma.f64 x (.f64 x -7/12) -1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (fma.f64 x (*.f64 x -7/12) -1)) (sqrt.f64 x)))
(/.f64 1 (/.f64 (+.f64 x (fma.f64 x (.f64 x -7/12) -1)) (-.f64 (pow.f64 (fma.f64 x (.f64 x -7/12) -1) 2) (*.f64 x x))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 x (.f64 x -7/12) -1) 2) (.f64 x (+.f64 x (fma.f64 x (.f64 x -7/12) -1)))) (-.f64 (pow.f64 (fma.f64 x (.f64 x -7/12) -1) 3) (pow.f64 x 3))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x (.f64 x -7/12) -1) 2) (.f64 x x)) (+.f64 x (fma.f64 x (*.f64 x -7/12) -1)))
(/.f64 (-.f64 (pow.f64 (fma.f64 x (.f64 x -7/12) -1) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (fma.f64 x (.f64 x -7/12) -1) 2) (.f64 x (+.f64 x (fma.f64 x (.f64 x -7/12) -1)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x (.f64 x -7/12) -1) 2) (.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (fma.f64 x (*.f64 x -7/12) -1) (neg.f64 x)))
(/.f64 (+.f64 (pow.f64 (fma.f64 x (.f64 x -7/12) -1) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (pow.f64 (fma.f64 x (.f64 x -7/12) -1) 2) (-.f64 (.f64 (neg.f64 x) (neg.f64 x)) (.f64 (fma.f64 x (*.f64 x -7/12) -1) (neg.f64 x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x (.f64 x -7/12) -1) 2) (.f64 x x))) (neg.f64 (+.f64 x (fma.f64 x (*.f64 x -7/12) -1))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x (.f64 x -7/12) -1) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (fma.f64 x (.f64 x -7/12) -1) 2) (.f64 x (+.f64 x (fma.f64 x (.f64 x -7/12) -1))))))
(pow.f64 (-.f64 (fma.f64 x (*.f64 x -7/12) -1) x) 1)
(pow.f64 (sqrt.f64 (-.f64 (fma.f64 x (*.f64 x -7/12) -1) x)) 2)
(pow.f64 (cbrt.f64 (-.f64 (fma.f64 x (*.f64 x -7/12) -1) x)) 3)
(pow.f64 (pow.f64 (-.f64 (fma.f64 x (*.f64 x -7/12) -1) x) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (fma.f64 x (*.f64 x -7/12) -1) x) 2))
(log.f64 (exp.f64 (-.f64 (fma.f64 x (*.f64 x -7/12) -1) x)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (fma.f64 x (*.f64 x -7/12) -1) x))))
(cbrt.f64 (pow.f64 (-.f64 (fma.f64 x (*.f64 x -7/12) -1) x) 3))
(expm1.f64 (log1p.f64 (-.f64 (fma.f64 x (*.f64 x -7/12) -1) x)))
(exp.f64 (log.f64 (-.f64 (fma.f64 x (*.f64 x -7/12) -1) x)))
(exp.f64 (.f64 (log.f64 (-.f64 (fma.f64 x (.f64 x -7/12) -1) x)) 1))
(log1p.f64 (expm1.f64 (-.f64 (fma.f64 x (*.f64 x -7/12) -1) x)))
(fma.f64 1 (fma.f64 x (*.f64 x -7/12) -1) (neg.f64 x))
(fma.f64 (sqrt.f64 (fma.f64 x (.f64 x -7/12) -1)) (sqrt.f64 (fma.f64 x (.f64 x -7/12) -1)) (neg.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x -7/12) -1)) 2) (cbrt.f64 (fma.f64 x (.f64 x -7/12) -1)) (neg.f64 x))

Outputs
(*.f64 -7/12 x)
(*.f64 -7/12 x)
(*.f64 -7/12 x)
(*.f64 -7/12 x)
(*.f64 -7/12 x)
(*.f64 -7/12 x)
(*.f64 -7/12 x)
(*.f64 -7/12 x)
(*.f64 -7/12 x)
(*.f64 -7/12 x)
(*.f64 -7/12 x)
(*.f64 -7/12 x)
-1
(-.f64 (*.f64 -1 x) 1)
(-.f64 -1 x)
(-.f64 (+.f64 (.f64 -7/12 (pow.f64 x 2)) (.f64 -1 x)) 1)
(-.f64 (fma.f64 x (*.f64 -7/12 x) -1) x)
(-.f64 (fma.f64 -7/12 (*.f64 x x) -1) x)
(fma.f64 x (fma.f64 -7/12 x -1) -1)
(-.f64 (+.f64 (.f64 -7/12 (pow.f64 x 2)) (.f64 -1 x)) 1)
(-.f64 (fma.f64 x (*.f64 -7/12 x) -1) x)
(-.f64 (fma.f64 -7/12 (*.f64 x x) -1) x)
(fma.f64 x (fma.f64 -7/12 x -1) -1)
(*.f64 -7/12 (pow.f64 x 2))
(.f64 -7/12 (.f64 x x))
(+.f64 (.f64 -7/12 (pow.f64 x 2)) (.f64 -1 x))
(fma.f64 -7/12 (*.f64 x x) (neg.f64 x))
(-.f64 (.f64 -7/12 (.f64 x x)) x)
(*.f64 x (fma.f64 -7/12 x -1))
(-.f64 (+.f64 (.f64 -7/12 (pow.f64 x 2)) (.f64 -1 x)) 1)
(-.f64 (fma.f64 x (*.f64 -7/12 x) -1) x)
(-.f64 (fma.f64 -7/12 (*.f64 x x) -1) x)
(fma.f64 x (fma.f64 -7/12 x -1) -1)
(-.f64 (+.f64 (.f64 -7/12 (pow.f64 x 2)) (.f64 -1 x)) 1)
(-.f64 (fma.f64 x (*.f64 -7/12 x) -1) x)
(-.f64 (fma.f64 -7/12 (*.f64 x x) -1) x)
(fma.f64 x (fma.f64 -7/12 x -1) -1)
(*.f64 -7/12 (pow.f64 x 2))
(.f64 -7/12 (.f64 x x))
(+.f64 (.f64 -7/12 (pow.f64 x 2)) (.f64 -1 x))
(fma.f64 -7/12 (*.f64 x x) (neg.f64 x))
(-.f64 (.f64 -7/12 (.f64 x x)) x)
(*.f64 x (fma.f64 -7/12 x -1))
(-.f64 (+.f64 (.f64 -7/12 (pow.f64 x 2)) (.f64 -1 x)) 1)
(-.f64 (fma.f64 x (*.f64 -7/12 x) -1) x)
(-.f64 (fma.f64 -7/12 (*.f64 x x) -1) x)
(fma.f64 x (fma.f64 -7/12 x -1) -1)
(-.f64 (+.f64 (.f64 -7/12 (pow.f64 x 2)) (.f64 -1 x)) 1)
(-.f64 (fma.f64 x (*.f64 -7/12 x) -1) x)
(-.f64 (fma.f64 -7/12 (*.f64 x x) -1) x)
(fma.f64 x (fma.f64 -7/12 x -1) -1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x -7/12))) 1)
(*.f64 -7/12 x)
(pow.f64 (*.f64 x -7/12) 1)
(*.f64 -7/12 x)
(pow.f64 (sqrt.f64 (*.f64 x -7/12)) 2)
(*.f64 -7/12 x)
(pow.f64 (cbrt.f64 (*.f64 x -7/12)) 3)
(*.f64 -7/12 x)
(pow.f64 (pow.f64 (*.f64 x -7/12) 3) 1/3)
(*.f64 -7/12 x)
(sqrt.f64 (.f64 (.f64 x x) 49/144))
(sqrt.f64 (.f64 x (.f64 x 49/144)))
(fabs.f64 (*.f64 -7/12 x))
(log.f64 (pow.f64 (exp.f64 x) -7/12))
(*.f64 -7/12 x)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x -7/12))))
(*.f64 -7/12 x)
(cbrt.f64 (pow.f64 (*.f64 x -7/12) 3))
(*.f64 -7/12 x)
(expm1.f64 (log1p.f64 (*.f64 x -7/12)))
(*.f64 -7/12 x)
(exp.f64 (log.f64 (*.f64 x -7/12)))
(*.f64 -7/12 x)
(exp.f64 (.f64 (log.f64 (.f64 x -7/12)) 1))
(*.f64 -7/12 x)
(log1p.f64 (expm1.f64 (*.f64 x -7/12)))
(*.f64 -7/12 x)
(+.f64 (fma.f64 x (*.f64 x -7/12) -1) (neg.f64 x))
(-.f64 (fma.f64 x (*.f64 -7/12 x) -1) x)
(-.f64 (fma.f64 -7/12 (*.f64 x x) -1) x)
(fma.f64 x (fma.f64 -7/12 x -1) -1)
(+.f64 (fma.f64 x (.f64 x -7/12) -1) (.f64 (neg.f64 x) 1))
(-.f64 (fma.f64 x (*.f64 -7/12 x) -1) x)
(-.f64 (fma.f64 -7/12 (*.f64 x x) -1) x)
(fma.f64 x (fma.f64 -7/12 x -1) -1)
(+.f64 (-.f64 (fma.f64 x (*.f64 x -7/12) -1) x) (fma.f64 (neg.f64 x) 1 x))
(-.f64 (fma.f64 x (*.f64 -7/12 x) -1) x)
(-.f64 (fma.f64 -7/12 (*.f64 x x) -1) x)
(fma.f64 x (fma.f64 -7/12 x -1) -1)
(+.f64 (-.f64 (fma.f64 x (*.f64 x -7/12) -1) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(-.f64 (fma.f64 x (*.f64 -7/12 x) -1) x)
(-.f64 (fma.f64 -7/12 (*.f64 x x) -1) x)
(fma.f64 x (fma.f64 -7/12 x -1) -1)
(+.f64 (-.f64 (fma.f64 x (*.f64 x -7/12) -1) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(-.f64 (fma.f64 x (*.f64 -7/12 x) -1) x)
(-.f64 (fma.f64 -7/12 (*.f64 x x) -1) x)
(fma.f64 x (fma.f64 -7/12 x -1) -1)
(+.f64 (neg.f64 x) (fma.f64 x (*.f64 x -7/12) -1))
(-.f64 (fma.f64 x (*.f64 -7/12 x) -1) x)
(-.f64 (fma.f64 -7/12 (*.f64 x x) -1) x)
(fma.f64 x (fma.f64 -7/12 x -1) -1)
(+.f64 (.f64 x (.f64 x -7/12)) (+.f64 -1 (neg.f64 x)))
(-.f64 (fma.f64 x (*.f64 -7/12 x) -1) x)
(-.f64 (fma.f64 -7/12 (*.f64 x x) -1) x)
(fma.f64 x (fma.f64 -7/12 x -1) -1)
(+.f64 (.f64 x (.f64 x -7/12)) (-.f64 -1 x))
(-.f64 (fma.f64 x (*.f64 -7/12 x) -1) x)
(-.f64 (fma.f64 -7/12 (*.f64 x x) -1) x)
(fma.f64 x (fma.f64 -7/12 x -1) -1)
(.f64 (-.f64 (fma.f64 x (.f64 x -7/12) -1) x) 1)
(-.f64 (fma.f64 x (*.f64 -7/12 x) -1) x)
(-.f64 (fma.f64 -7/12 (*.f64 x x) -1) x)
(fma.f64 x (fma.f64 -7/12 x -1) -1)
(.f64 1 (-.f64 (fma.f64 x (.f64 x -7/12) -1) x))
(-.f64 (fma.f64 x (*.f64 -7/12 x) -1) x)
(-.f64 (fma.f64 -7/12 (*.f64 x x) -1) x)
(fma.f64 x (fma.f64 -7/12 x -1) -1)
(.f64 (sqrt.f64 (-.f64 (fma.f64 x (.f64 x -7/12) -1) x)) (sqrt.f64 (-.f64 (fma.f64 x (*.f64 x -7/12) -1) x)))
(-.f64 (fma.f64 x (*.f64 -7/12 x) -1) x)
(-.f64 (fma.f64 -7/12 (*.f64 x x) -1) x)
(fma.f64 x (fma.f64 -7/12 x -1) -1)
(.f64 (cbrt.f64 (-.f64 (fma.f64 x (.f64 x -7/12) -1) x)) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x (*.f64 x -7/12) -1) x)) 2))
(-.f64 (fma.f64 x (*.f64 -7/12 x) -1) x)
(-.f64 (fma.f64 -7/12 (*.f64 x x) -1) x)
(fma.f64 x (fma.f64 -7/12 x -1) -1)
(.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x (.f64 x -7/12) -1) x)) 2) (cbrt.f64 (-.f64 (fma.f64 x (*.f64 x -7/12) -1) x)))
(-.f64 (fma.f64 x (*.f64 -7/12 x) -1) x)
(-.f64 (fma.f64 -7/12 (*.f64 x x) -1) x)
(fma.f64 x (fma.f64 -7/12 x -1) -1)
(.f64 (-.f64 (pow.f64 (fma.f64 x (.f64 x -7/12) -1) 2) (.f64 x x)) (/.f64 1 (+.f64 x (fma.f64 x (.f64 x -7/12) -1))))
(.f64 (-.f64 (pow.f64 (fma.f64 x (.f64 -7/12 x) -1) 2) (.f64 x x)) (/.f64 1 (+.f64 x (fma.f64 x (.f64 -7/12 x) -1))))
(/.f64 (-.f64 (pow.f64 (fma.f64 -7/12 (.f64 x x) -1) 2) (.f64 x x)) (+.f64 x (fma.f64 -7/12 (*.f64 x x) -1)))
(/.f64 (-.f64 (pow.f64 (fma.f64 -7/12 (.f64 x x) -1) 2) (.f64 x x)) (fma.f64 -7/12 (*.f64 x x) (+.f64 x -1)))
(.f64 (-.f64 (pow.f64 (fma.f64 x (.f64 x -7/12) -1) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x (.f64 x -7/12) -1) 2) (.f64 x (+.f64 x (fma.f64 x (*.f64 x -7/12) -1))))))
(.f64 (-.f64 (pow.f64 (fma.f64 x (.f64 -7/12 x) -1) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x (.f64 -7/12 x) -1) 2) (.f64 x (+.f64 x (fma.f64 x (*.f64 -7/12 x) -1))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 -7/12 (.f64 x x) -1) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (fma.f64 -7/12 (.f64 x x) -1)) (pow.f64 (fma.f64 -7/12 (*.f64 x x) -1) 2)))
(/.f64 (-.f64 (pow.f64 (fma.f64 -7/12 (.f64 x x) -1) 3) (pow.f64 x 3)) (fma.f64 x x (.f64 (fma.f64 -7/12 (.f64 x x) -1) (fma.f64 -7/12 (.f64 x x) (+.f64 x -1)))))
(.f64 (+.f64 (sqrt.f64 (fma.f64 x (.f64 x -7/12) -1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (fma.f64 x (*.f64 x -7/12) -1)) (sqrt.f64 x)))
(-.f64 (fma.f64 x (*.f64 -7/12 x) -1) x)
(-.f64 (fma.f64 -7/12 (*.f64 x x) -1) x)
(fma.f64 x (fma.f64 -7/12 x -1) -1)
(/.f64 1 (/.f64 (+.f64 x (fma.f64 x (.f64 x -7/12) -1)) (-.f64 (pow.f64 (fma.f64 x (.f64 x -7/12) -1) 2) (*.f64 x x))))
(.f64 (-.f64 (pow.f64 (fma.f64 x (.f64 -7/12 x) -1) 2) (.f64 x x)) (/.f64 1 (+.f64 x (fma.f64 x (.f64 -7/12 x) -1))))
(/.f64 (-.f64 (pow.f64 (fma.f64 -7/12 (.f64 x x) -1) 2) (.f64 x x)) (+.f64 x (fma.f64 -7/12 (*.f64 x x) -1)))
(/.f64 (-.f64 (pow.f64 (fma.f64 -7/12 (.f64 x x) -1) 2) (.f64 x x)) (fma.f64 -7/12 (*.f64 x x) (+.f64 x -1)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 x (.f64 x -7/12) -1) 2) (.f64 x (+.f64 x (fma.f64 x (.f64 x -7/12) -1)))) (-.f64 (pow.f64 (fma.f64 x (.f64 x -7/12) -1) 3) (pow.f64 x 3))))
(.f64 (-.f64 (pow.f64 (fma.f64 x (.f64 -7/12 x) -1) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x (.f64 -7/12 x) -1) 2) (.f64 x (+.f64 x (fma.f64 x (*.f64 -7/12 x) -1))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 -7/12 (.f64 x x) -1) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (fma.f64 -7/12 (.f64 x x) -1)) (pow.f64 (fma.f64 -7/12 (*.f64 x x) -1) 2)))
(/.f64 (-.f64 (pow.f64 (fma.f64 -7/12 (.f64 x x) -1) 3) (pow.f64 x 3)) (fma.f64 x x (.f64 (fma.f64 -7/12 (.f64 x x) -1) (fma.f64 -7/12 (.f64 x x) (+.f64 x -1)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x (.f64 x -7/12) -1) 2) (.f64 x x)) (+.f64 x (fma.f64 x (*.f64 x -7/12) -1)))
(.f64 (-.f64 (pow.f64 (fma.f64 x (.f64 -7/12 x) -1) 2) (.f64 x x)) (/.f64 1 (+.f64 x (fma.f64 x (.f64 -7/12 x) -1))))
(/.f64 (-.f64 (pow.f64 (fma.f64 -7/12 (.f64 x x) -1) 2) (.f64 x x)) (+.f64 x (fma.f64 -7/12 (*.f64 x x) -1)))
(/.f64 (-.f64 (pow.f64 (fma.f64 -7/12 (.f64 x x) -1) 2) (.f64 x x)) (fma.f64 -7/12 (*.f64 x x) (+.f64 x -1)))
(/.f64 (-.f64 (pow.f64 (fma.f64 x (.f64 x -7/12) -1) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (fma.f64 x (.f64 x -7/12) -1) 2) (.f64 x (+.f64 x (fma.f64 x (.f64 x -7/12) -1)))))
(.f64 (-.f64 (pow.f64 (fma.f64 x (.f64 -7/12 x) -1) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x (.f64 -7/12 x) -1) 2) (.f64 x (+.f64 x (fma.f64 x (*.f64 -7/12 x) -1))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 -7/12 (.f64 x x) -1) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (fma.f64 -7/12 (.f64 x x) -1)) (pow.f64 (fma.f64 -7/12 (*.f64 x x) -1) 2)))
(/.f64 (-.f64 (pow.f64 (fma.f64 -7/12 (.f64 x x) -1) 3) (pow.f64 x 3)) (fma.f64 x x (.f64 (fma.f64 -7/12 (.f64 x x) -1) (fma.f64 -7/12 (.f64 x x) (+.f64 x -1)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x (.f64 x -7/12) -1) 2) (.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (fma.f64 x (*.f64 x -7/12) -1) (neg.f64 x)))
(.f64 (-.f64 (pow.f64 (fma.f64 x (.f64 -7/12 x) -1) 2) (.f64 x x)) (/.f64 1 (+.f64 x (fma.f64 x (.f64 -7/12 x) -1))))
(/.f64 (-.f64 (pow.f64 (fma.f64 -7/12 (.f64 x x) -1) 2) (.f64 x x)) (+.f64 x (fma.f64 -7/12 (*.f64 x x) -1)))
(/.f64 (-.f64 (pow.f64 (fma.f64 -7/12 (.f64 x x) -1) 2) (.f64 x x)) (fma.f64 -7/12 (*.f64 x x) (+.f64 x -1)))
(/.f64 (+.f64 (pow.f64 (fma.f64 x (.f64 x -7/12) -1) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (pow.f64 (fma.f64 x (.f64 x -7/12) -1) 2) (-.f64 (.f64 (neg.f64 x) (neg.f64 x)) (.f64 (fma.f64 x (*.f64 x -7/12) -1) (neg.f64 x)))))
(.f64 (-.f64 (pow.f64 (fma.f64 x (.f64 -7/12 x) -1) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x (.f64 -7/12 x) -1) 2) (.f64 x (+.f64 x (fma.f64 x (*.f64 -7/12 x) -1))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 -7/12 (.f64 x x) -1) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (fma.f64 -7/12 (.f64 x x) -1)) (pow.f64 (fma.f64 -7/12 (*.f64 x x) -1) 2)))
(/.f64 (-.f64 (pow.f64 (fma.f64 -7/12 (.f64 x x) -1) 3) (pow.f64 x 3)) (fma.f64 x x (.f64 (fma.f64 -7/12 (.f64 x x) -1) (fma.f64 -7/12 (.f64 x x) (+.f64 x -1)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x (.f64 x -7/12) -1) 2) (.f64 x x))) (neg.f64 (+.f64 x (fma.f64 x (*.f64 x -7/12) -1))))
(.f64 (-.f64 (pow.f64 (fma.f64 x (.f64 -7/12 x) -1) 2) (.f64 x x)) (/.f64 1 (+.f64 x (fma.f64 x (.f64 -7/12 x) -1))))
(/.f64 (-.f64 (pow.f64 (fma.f64 -7/12 (.f64 x x) -1) 2) (.f64 x x)) (+.f64 x (fma.f64 -7/12 (*.f64 x x) -1)))
(/.f64 (-.f64 (pow.f64 (fma.f64 -7/12 (.f64 x x) -1) 2) (.f64 x x)) (fma.f64 -7/12 (*.f64 x x) (+.f64 x -1)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x (.f64 x -7/12) -1) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (fma.f64 x (.f64 x -7/12) -1) 2) (.f64 x (+.f64 x (fma.f64 x (.f64 x -7/12) -1))))))
(.f64 (-.f64 (pow.f64 (fma.f64 x (.f64 -7/12 x) -1) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x (.f64 -7/12 x) -1) 2) (.f64 x (+.f64 x (fma.f64 x (*.f64 -7/12 x) -1))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 -7/12 (.f64 x x) -1) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (fma.f64 -7/12 (.f64 x x) -1)) (pow.f64 (fma.f64 -7/12 (*.f64 x x) -1) 2)))
(/.f64 (-.f64 (pow.f64 (fma.f64 -7/12 (.f64 x x) -1) 3) (pow.f64 x 3)) (fma.f64 x x (.f64 (fma.f64 -7/12 (.f64 x x) -1) (fma.f64 -7/12 (.f64 x x) (+.f64 x -1)))))
(pow.f64 (-.f64 (fma.f64 x (*.f64 x -7/12) -1) x) 1)
(-.f64 (fma.f64 x (*.f64 -7/12 x) -1) x)
(-.f64 (fma.f64 -7/12 (*.f64 x x) -1) x)
(fma.f64 x (fma.f64 -7/12 x -1) -1)
(pow.f64 (sqrt.f64 (-.f64 (fma.f64 x (*.f64 x -7/12) -1) x)) 2)
(-.f64 (fma.f64 x (*.f64 -7/12 x) -1) x)
(-.f64 (fma.f64 -7/12 (*.f64 x x) -1) x)
(fma.f64 x (fma.f64 -7/12 x -1) -1)
(pow.f64 (cbrt.f64 (-.f64 (fma.f64 x (*.f64 x -7/12) -1) x)) 3)
(-.f64 (fma.f64 x (*.f64 -7/12 x) -1) x)
(-.f64 (fma.f64 -7/12 (*.f64 x x) -1) x)
(fma.f64 x (fma.f64 -7/12 x -1) -1)
(pow.f64 (pow.f64 (-.f64 (fma.f64 x (*.f64 x -7/12) -1) x) 3) 1/3)
(-.f64 (fma.f64 x (*.f64 -7/12 x) -1) x)
(-.f64 (fma.f64 -7/12 (*.f64 x x) -1) x)
(fma.f64 x (fma.f64 -7/12 x -1) -1)
(sqrt.f64 (pow.f64 (-.f64 (fma.f64 x (*.f64 x -7/12) -1) x) 2))
(-.f64 (fma.f64 x (*.f64 -7/12 x) -1) x)
(-.f64 (fma.f64 -7/12 (*.f64 x x) -1) x)
(fma.f64 x (fma.f64 -7/12 x -1) -1)
(log.f64 (exp.f64 (-.f64 (fma.f64 x (*.f64 x -7/12) -1) x)))
(-.f64 (fma.f64 x (*.f64 -7/12 x) -1) x)
(-.f64 (fma.f64 -7/12 (*.f64 x x) -1) x)
(fma.f64 x (fma.f64 -7/12 x -1) -1)
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (fma.f64 x (*.f64 x -7/12) -1) x))))
(-.f64 (fma.f64 x (*.f64 -7/12 x) -1) x)
(-.f64 (fma.f64 -7/12 (*.f64 x x) -1) x)
(fma.f64 x (fma.f64 -7/12 x -1) -1)
(cbrt.f64 (pow.f64 (-.f64 (fma.f64 x (*.f64 x -7/12) -1) x) 3))
(-.f64 (fma.f64 x (*.f64 -7/12 x) -1) x)
(-.f64 (fma.f64 -7/12 (*.f64 x x) -1) x)
(fma.f64 x (fma.f64 -7/12 x -1) -1)
(expm1.f64 (log1p.f64 (-.f64 (fma.f64 x (*.f64 x -7/12) -1) x)))
(-.f64 (fma.f64 x (*.f64 -7/12 x) -1) x)
(-.f64 (fma.f64 -7/12 (*.f64 x x) -1) x)
(fma.f64 x (fma.f64 -7/12 x -1) -1)
(exp.f64 (log.f64 (-.f64 (fma.f64 x (*.f64 x -7/12) -1) x)))
(-.f64 (fma.f64 x (*.f64 -7/12 x) -1) x)
(-.f64 (fma.f64 -7/12 (*.f64 x x) -1) x)
(fma.f64 x (fma.f64 -7/12 x -1) -1)
(exp.f64 (.f64 (log.f64 (-.f64 (fma.f64 x (.f64 x -7/12) -1) x)) 1))
(-.f64 (fma.f64 x (*.f64 -7/12 x) -1) x)
(-.f64 (fma.f64 -7/12 (*.f64 x x) -1) x)
(fma.f64 x (fma.f64 -7/12 x -1) -1)
(log1p.f64 (expm1.f64 (-.f64 (fma.f64 x (*.f64 x -7/12) -1) x)))
(-.f64 (fma.f64 x (*.f64 -7/12 x) -1) x)
(-.f64 (fma.f64 -7/12 (*.f64 x x) -1) x)
(fma.f64 x (fma.f64 -7/12 x -1) -1)
(fma.f64 1 (fma.f64 x (*.f64 x -7/12) -1) (neg.f64 x))
(-.f64 (fma.f64 x (*.f64 -7/12 x) -1) x)
(-.f64 (fma.f64 -7/12 (*.f64 x x) -1) x)
(fma.f64 x (fma.f64 -7/12 x -1) -1)
(fma.f64 (sqrt.f64 (fma.f64 x (.f64 x -7/12) -1)) (sqrt.f64 (fma.f64 x (.f64 x -7/12) -1)) (neg.f64 x))
(-.f64 (fma.f64 x (*.f64 -7/12 x) -1) x)
(-.f64 (fma.f64 -7/12 (*.f64 x x) -1) x)
(fma.f64 x (fma.f64 -7/12 x -1) -1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x -7/12) -1)) 2) (cbrt.f64 (fma.f64 x (.f64 x -7/12) -1)) (neg.f64 x))
(-.f64 (fma.f64 x (*.f64 -7/12 x) -1) x)
(-.f64 (fma.f64 -7/12 (*.f64 x x) -1) x)
(fma.f64 x (fma.f64 -7/12 x -1) -1)

eval746.0ms (6.8%)

Compiler: Compiled 5950 to 4547 computations (23.6% saved)

prune39.0ms (0.4%)

Pruning

9 alts after pruning (3 fresh and 6 done)

	Pruned	Kept	Total
New	267	2	269
Fresh	0	1	1
Picked	1	0	1
Done	1	6	7
Total	269	9	278

Error

Counts

278 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
✓	0.5b	(-.f64 -1 x)
✓	0.4b	(+.f64 (.f64 x (-.f64 (.f64 -1/2 x) 1)) -1)
	0.4b	(+.f64 (.f64 x (.f64 x -7/12)) (-.f64 -1 x))
✓	0.1b	(*.f64 (/.f64 1 (log1p.f64 x)) (log1p.f64 (neg.f64 x)))
✓	0.6b	(*.f64 (+.f64 (/.f64 1 x) 1/2) (log1p.f64 (neg.f64 x)))
✓	0.5b	(.f64 (+.f64 1/2 (+.f64 (.f64 -1/12 x) (/.f64 1 x))) (log1p.f64 (neg.f64 x)))
	61.4b	(.f64 -7/12 (.f64 x x))
	1.1b	-1

Compiler

Compiled 72 to 55 computations (23.6% saved)

regimes16.0ms (0.1%)

Counts

16 → 1

Calls

Call 1

Inputs
-1
(-.f64 -1 x)
(.f64 -7/12 (.f64 x x))
(.f64 x (.f64 x -1/2))
(+.f64 (.f64 x (.f64 x -7/12)) (-.f64 -1 x))
(+.f64 (.f64 x (-.f64 (.f64 -1/2 x) 1)) -1)
(-.f64 (+.f64 (.f64 -1/2 (.f64 x x)) -1) x)
(/.f64 (neg.f64 x) (log.f64 (+.f64 1 x)))
(-.f64 (fma.f64 x (*.f64 x -7/12) -1) x)
(fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x))
(*.f64 (+.f64 (/.f64 1 x) 1/2) (log1p.f64 (neg.f64 x)))
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(.f64 (+.f64 1/2 (+.f64 (.f64 -1/12 x) (/.f64 1 x))) (log1p.f64 (neg.f64 x)))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(*.f64 (/.f64 1 (log1p.f64 x)) (log1p.f64 (neg.f64 x)))
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))

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

Calls

2 calls:

8.0ms	x
4.0ms	(/.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 131 to 81 computations (38.2% saved)

regimes11.0ms (0.1%)

Counts

13 → 1

Calls

Call 1

Inputs
-1
(-.f64 -1 x)
(.f64 -7/12 (.f64 x x))
(.f64 x (.f64 x -1/2))
(+.f64 (.f64 x (.f64 x -7/12)) (-.f64 -1 x))
(+.f64 (.f64 x (-.f64 (.f64 -1/2 x) 1)) -1)
(-.f64 (+.f64 (.f64 -1/2 (.f64 x x)) -1) x)
(/.f64 (neg.f64 x) (log.f64 (+.f64 1 x)))
(-.f64 (fma.f64 x (*.f64 x -7/12) -1) x)
(fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x))
(*.f64 (+.f64 (/.f64 1 x) 1/2) (log1p.f64 (neg.f64 x)))
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(.f64 (+.f64 1/2 (+.f64 (.f64 -1/12 x) (/.f64 1 x))) (log1p.f64 (neg.f64 x)))

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

Calls

1 calls:

8.0ms

Results

Error	Segments	Branch
0.4b	1	`x`

Compiler

Compiled 98 to 61 computations (37.8% saved)

regimes6.0ms (0.1%)

Counts

5 → 1

Calls

Call 1

Inputs
-1
(-.f64 -1 x)
(.f64 -7/12 (.f64 x x))
(.f64 x (.f64 x -1/2))
(+.f64 (.f64 x (.f64 x -7/12)) (-.f64 -1 x))

Outputs
(+.f64 (.f64 x (.f64 x -7/12)) (-.f64 -1 x))

Calls

1 calls:

4.0ms

Results

Error	Segments	Branch
0.4b	1	`x`

Compiler

Compiled 26 to 17 computations (34.6% saved)

regimes6.0ms (0.1%)

Accuracy

Total -60.9b remaining (-13076.6%)

Threshold costs -60.9b (-13076.6%)

Counts

4 → 1

Calls

Call 1

Inputs
-1
(-.f64 -1 x)
(.f64 -7/12 (.f64 x x))
(.f64 x (.f64 x -1/2))

Outputs
(-.f64 -1 x)

Calls

1 calls:

5.0ms

Results

Error	Segments	Branch
0.5b	1	`x`

Compiler

Compiled 17 to 11 computations (35.3% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

10×	`+-commutative`
10×	`*-commutative`
6×	`sub-neg`
2×	`1-exp`
2×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	77
1	33	77
2	37	77
3	38	77

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(+.f64 (.f64 x (-.f64 (.f64 -1/2 x) 1)) -1)
(+.f64 (.f64 x (.f64 x -7/12)) (-.f64 -1 x))
(-.f64 -1 x)
-1

Outputs
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(+.f64 (.f64 x (-.f64 (.f64 -1/2 x) 1)) -1)
(+.f64 (.f64 x (+.f64 (.f64 x -1/2) -1)) -1)
(+.f64 (.f64 x (.f64 x -7/12)) (-.f64 -1 x))
(-.f64 -1 x)
-1

Compiler

Compiled 33 to 25 computations (24.2% saved)

soundness15.0ms (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

Compiler

Compiled 34 to 23 computations (32.4% saved)

end31.0ms (0.3%)

Compiler: Compiled 29 to 21 computations (27.6% saved)

Details

analyze422.0ms (3.9%)

sample5.7s (52.3%)

preprocess8.0ms (0.1%)

simplify14.0ms (0.1%)

eval1.0ms (0%)

prune1.0ms (0%)

localize13.0ms (0.1%)

series5.0ms (0%)

rewrite88.0ms (0.8%)

simplify107.0ms (1%)

localize8.0ms (0.1%)

series1.0ms (0%)

rewrite52.0ms (0.5%)

simplify68.0ms (0.6%)

eval222.0ms (2%)

prune49.0ms (0.4%)

localize11.0ms (0.1%)

series3.0ms (0%)

rewrite88.0ms (0.8%)

simplify73.0ms (0.7%)

localize3.0ms (0%)

localize13.0ms (0.1%)

series2.0ms (0%)

rewrite58.0ms (0.5%)

simplify83.0ms (0.8%)

localize7.0ms (0.1%)

series1.0ms (0%)

rewrite57.0ms (0.5%)

simplify321.0ms (2.9%)

localize296.0ms (2.7%)

series0.0ms (0%)

rewrite73.0ms (0.7%)

simplify63.0ms (0.6%)

eval244.0ms (2.2%)

prune69.0ms (0.6%)

localize4.0ms (0%)

localize18.0ms (0.2%)

series3.0ms (0%)

rewrite129.0ms (1.2%)

simplify235.0ms (2.2%)

localize11.0ms (0.1%)

series1.0ms (0%)

rewrite83.0ms (0.8%)

simplify58.0ms (0.5%)

localize37.0ms (0.3%)

series1.0ms (0%)

rewrite84.0ms (0.8%)

simplify204.0ms (1.9%)

eval455.0ms (4.2%)

prune154.0ms (1.4%)

localize11.0ms (0.1%)

series5.0ms (0%)

rewrite78.0ms (0.7%)

simplify93.0ms (0.9%)

localize9.0ms (0.1%)

series1.0ms (0%)

rewrite66.0ms (0.6%)

simplify80.0ms (0.7%)

eval746.0ms (6.8%)

prune39.0ms (0.4%)

regimes16.0ms (0.1%)

regimes11.0ms (0.1%)

regimes6.0ms (0.1%)

regimes6.0ms (0.1%)

simplify7.0ms (0.1%)

soundness15.0ms (0.1%)

end31.0ms (0.3%)

Profiling