Details

analyze532.0ms (5%)

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)

sample6.3s (60.2%)

Results

4.2s	4080×	body	1024	valid
1.4s	2095×	body	512	valid
512.0ms	402×	body	2048	valid
264.0ms	1679×	body	256	valid

Bogosity

preprocess6.0ms (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)

simplify17.0ms (0.2%)

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

0.02%

Counts

4 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.02%	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
▶	96.43%	(/.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
✓	0.02%	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
✓	6%	(log.f64 (-.f64 1 x))
✓	6%	(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	@	-inf	(log.f64 (+.f64 1 x))
0.0ms	x	@	0	(log.f64 (+.f64 1 x))
0.0ms	x	@	inf	(log.f64 (+.f64 1 x))

rewrite170.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 125

Calls

Call 1

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

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

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

simplify398.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

161 → 268

Calls

Call 1

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

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

localize18.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.02%	(/.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))
0.0ms	x	@	inf	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
0.0ms	x	@	0	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))

rewrite51.0ms (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))))))))

simplify65.0ms (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

eval172.0ms (1.6%)

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

prune51.0ms (0.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	336	5	341
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	337	6	343

Error

Counts

343 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.5%	(fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x))
✓	0.02%	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
▶	0.87%	(-.f64 -1 x)
▶	0.49%	(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
▶	0.31%	(*.f64 (/.f64 1 (log1p.f64 x)) (log1p.f64 (neg.f64 x)))
	1.86%	-1

Compiler

Compiled 41 to 30 computations (26.8% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.01%	(/.f64 1 (log1p.f64 x))
✓	0.31%	(*.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	@	0	(/.f64 1 (log1p.f64 x))
0.0ms	x	@	-inf	(*.f64 (/.f64 1 (log1p.f64 x)) (log1p.f64 (neg.f64 x)))
0.0ms	x	@	inf	(*.f64 (/.f64 1 (log1p.f64 x)) (log1p.f64 (neg.f64 x)))

rewrite58.0ms (0.6%)

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))))))))

simplify384.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

66 → 125

Calls

Call 1

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

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

localize9.0ms (0.1%)

Compiler: Compiled 25 to 11 computations (56% saved)

localize2.0ms (0%)

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

localize11.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.02%	(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
0.0ms	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))

rewrite55.0ms (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))))))))

simplify50.0ms (0.5%)

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)

eval93.0ms (0.9%)

Compiler: Compiled 5732 to 4014 computations (30% saved)

prune24.0ms (0.2%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	170	2	172
Fresh	0	1	1
Picked	1	0	1
Done	1	3	4
Total	172	6	178

Error

Counts

178 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.02%	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
▶	0.5%	(-.f64 (+.f64 (.f64 -1/2 (.f64 x x)) -1) x)
✓	0.87%	(-.f64 -1 x)
✓	0.49%	(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
▶	0.69%	(.f64 (+.f64 1/2 (+.f64 (.f64 -1/12 x) (/.f64 1 x))) (log1p.f64 (neg.f64 x)))
	1.86%	-1

Compiler

Compiled 47 to 35 computations (25.5% saved)

localize17.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3%	(.f64 (+.f64 1/2 (+.f64 (.f64 -1/12 x) (/.f64 1 x))) (log1p.f64 (neg.f64 x)))
✓	0.59%	(*.f64 -1/12 x)

Compiler

Compiled 45 to 30 computations (33.3% saved)

series2.0ms (0%)

Counts

2 → 12

Calls

6 calls:

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

rewrite84.0ms (0.8%)

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	42
1	302	38
2	3921	38

Stop Event

1×	node limit

Counts

2 → 83

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)))

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log1p.f64 x) 1/2) (*.f64 (log1p.f64 x) (fma.f64 -1/12 x (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log1p.f64 x) (fma.f64 -1/12 x (/.f64 1 x))) (*.f64 (log1p.f64 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log1p.f64 x) (+.f64 (*.f64 -1/12 x) 1/2)) (*.f64 (log1p.f64 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log1p.f64 x) (/.f64 1 x)) (*.f64 (log1p.f64 x) (+.f64 (*.f64 -1/12 x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (log1p.f64 x)) (*.f64 (fma.f64 -1/12 x (/.f64 1 x)) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 -1/12 x (/.f64 1 x)) (log1p.f64 x)) (*.f64 1/2 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (*.f64 -1/12 x) 1/2) (log1p.f64 x)) (/.f64 (log1p.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (log1p.f64 x) x) (*.f64 (+.f64 (*.f64 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simplify373.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

1084×	`associate-/l*`
934×	`associate-+l+`
808×	`*-commutative`
638×	`associate-*r/`
606×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	290	4245
1	787	4095
2	2798	3993

Stop Event

1×	node limit

Counts

95 → 165

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

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.02%	(-.f64 (+.f64 (.f64 -1/2 (.f64 x x)) -1) x)
✓	0.02%	(.f64 -1/2 (.f64 x x))

Compiler

Compiled 28 to 15 computations (46.4% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite339.0ms (3.2%)

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

Outputs

((#(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))))))))

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simplify126.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1644×	`associate-+l-`
1630×	`associate-*r/`
1236×	`+-commutative`
1074×	`associate-+r-`
804×	`associate--r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	350	8438
1	989	7576
2	4707	7562

Stop Event

1×	node limit

Counts

162 → 213

Calls

Call 1

Inputs
(*.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))
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(/.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))

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

eval169.0ms (1.6%)

Compiler: Compiled 9101 to 6138 computations (32.6% saved)

prune52.0ms (0.5%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	376	2	378
Fresh	0	1	1
Picked	0	1	1
Done	1	3	4
Total	377	7	384

Error

Counts

384 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.02%	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
▶	0.5%	(/.f64 1 (/.f64 1 (-.f64 (fma.f64 (*.f64 -1/2 x) x -1) x)))
✓	0.5%	(-.f64 (+.f64 (.f64 -1/2 (.f64 x x)) -1) x)
✓	0.87%	(-.f64 -1 x)
▶	0.49%	(+.f64 (.f64 x (-.f64 (.f64 -1/2 x) 1)) -1)
✓	0.69%	(.f64 (+.f64 1/2 (+.f64 (.f64 -1/12 x) (/.f64 1 x))) (log1p.f64 (neg.f64 x)))
	1.86%	-1

Compiler

Compiled 60 to 46 computations (23.3% saved)

localize11.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.04%	(.f64 x (-.f64 (.f64 -1/2 x) 1))

Compiler

Compiled 29 to 22 computations (24.1% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite52.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1594×	`add-sqr-sqrt`
1572×	`*-un-lft-identity`
1472×	`add-cube-cbrt`
1456×	`add-cbrt-cube`
158×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	168	15
2	2020	15

Stop Event

1×	node limit

Counts

1 → 19

Calls

Call 1

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

Outputs

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

simplify60.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1506×	`fma-def`
1432×	`associate--r+`
864×	`associate-r`
782×	`associate-l`
630×	`log-prod`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	66	559
1	156	555
2	437	551
3	2850	539
4	6781	539

Stop Event

1×	node limit

Counts

31 → 32

Calls

Call 1

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

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

localize18.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.01%	(/.f64 1 (/.f64 1 (-.f64 (fma.f64 (*.f64 -1/2 x) x -1) x)))
✓	0.02%	(-.f64 (fma.f64 (*.f64 -1/2 x) x -1) x)
✓	0.03%	(/.f64 1 (-.f64 (fma.f64 (*.f64 -1/2 x) x -1) x))

Compiler

Compiled 44 to 31 computations (29.5% saved)

series1.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite120.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1068×	`associate-*r/`
968×	`*-commutative`
756×	`associate-*l/`
554×	`swap-sqr`
526×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	69
1	255	69
2	2873	69

Stop Event

1×	node limit

Counts

3 → 370

Calls

Call 1

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

Outputs

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-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 (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))))))

simplify161.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

790×	`fma-def`
758×	`associate-/l*`
752×	`associate-r`
638×	`associate-l`
558×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	650	21522
1	1789	19462

Stop Event

1×	node limit

Counts

406 → 429

Calls

Call 1

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

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

eval252.0ms (2.4%)

Compiler: Compiled 13653 to 9646 computations (29.3% saved)

prune72.0ms (0.7%)

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	458	3	461
Fresh	0	1	1
Picked	1	0	1
Done	0	5	5
Total	459	9	468

Error

Counts

468 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.02%	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
	0.5%	(/.f64 1 (/.f64 1 (+.f64 (-.f64 -1 x) (.f64 -1/2 (.f64 x x)))))
	0.88%	(/.f64 1 (-.f64 x 1))
	0.49%	(/.f64 1 (+.f64 (fma.f64 -1/2 (*.f64 x x) x) -1))
✓	0.5%	(-.f64 (+.f64 (.f64 -1/2 (.f64 x x)) -1) x)
✓	0.87%	(-.f64 -1 x)
✓	0.49%	(+.f64 (.f64 x (-.f64 (.f64 -1/2 x) 1)) -1)
✓	0.69%	(.f64 (+.f64 1/2 (+.f64 (.f64 -1/12 x) (/.f64 1 x))) (log1p.f64 (neg.f64 x)))
	1.86%	-1

Compiler

Compiled 78 to 60 computations (23.1% saved)

regimes18.0ms (0.2%)

Counts

14 → 1

Calls

Call 1

Inputs
-1
(-.f64 -1 x)
(/.f64 1 (-.f64 x 1))
(+.f64 (.f64 x (-.f64 (.f64 -1/2 x) 1)) -1)
(-.f64 (+.f64 (.f64 -1/2 (.f64 x x)) -1) x)
(/.f64 1 (/.f64 1 (+.f64 (-.f64 -1 x) (.f64 -1/2 (.f64 x x)))))
(fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x))
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(/.f64 1 (+.f64 (fma.f64 -1/2 (*.f64 x x) x) -1))
(/.f64 1 (/.f64 1 (-.f64 (fma.f64 (*.f64 -1/2 x) x -1) x)))
(.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	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
7.0ms	x

Results

Error	Segments	Branch
0.02%	1	`x`
0.02%	1	`(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))`

Compiler

Compiled 128 to 84 computations (34.4% saved)

regimes8.0ms (0.1%)

Counts

11 → 1

Calls

Call 1

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

6.0ms

Results

Error	Segments	Branch
0.49%	1	`x`

Compiler

Compiled 95 to 64 computations (32.6% saved)

regimes4.0ms (0%)

Accuracy

Total -0.6b remaining (-113.5%)

Threshold costs -0.6b (-113.5%)

Counts

3 → 1

Calls

Call 1

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

Outputs
(-.f64 -1 x)

Calls

1 calls:

4.0ms

Results

Error	Segments	Branch
0.87%	1	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	52
1	26	52
2	30	52
3	31	52

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 -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 -1 x)
-1

Compiler

Compiled 23 to 18 computations (21.7% saved)

soundness14.0ms (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)

end25.0ms (0.2%)

Compiler: Compiled 20 to 15 computations (25% saved)

Details

analyze532.0ms (5%)

sample6.3s (60.2%)

preprocess6.0ms (0.1%)

simplify17.0ms (0.2%)

eval1.0ms (0%)

prune1.0ms (0%)

localize13.0ms (0.1%)

series5.0ms (0%)

rewrite170.0ms (1.6%)

simplify398.0ms (3.8%)

localize18.0ms (0.2%)

series1.0ms (0%)

rewrite51.0ms (0.5%)

simplify65.0ms (0.6%)

eval172.0ms (1.6%)

prune51.0ms (0.5%)

localize10.0ms (0.1%)

series3.0ms (0%)

rewrite58.0ms (0.6%)

simplify384.0ms (3.6%)

localize9.0ms (0.1%)

localize2.0ms (0%)

localize11.0ms (0.1%)

series1.0ms (0%)

rewrite55.0ms (0.5%)

simplify50.0ms (0.5%)

eval93.0ms (0.9%)

prune24.0ms (0.2%)

localize17.0ms (0.2%)

series2.0ms (0%)

rewrite84.0ms (0.8%)

simplify373.0ms (3.5%)

localize9.0ms (0.1%)

series1.0ms (0%)

rewrite339.0ms (3.2%)

simplify126.0ms (1.2%)

eval169.0ms (1.6%)

prune52.0ms (0.5%)

localize11.0ms (0.1%)

series2.0ms (0%)

rewrite52.0ms (0.5%)

simplify60.0ms (0.6%)

localize18.0ms (0.2%)

series1.0ms (0%)

rewrite120.0ms (1.1%)

simplify161.0ms (1.5%)

eval252.0ms (2.4%)

prune72.0ms (0.7%)

regimes18.0ms (0.2%)

regimes8.0ms (0.1%)

regimes4.0ms (0%)

simplify5.0ms (0%)

soundness14.0ms (0.1%)

end25.0ms (0.2%)

Profiling