Details

analyze581.0ms (5.5%)

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)

sample5.6s (53%)

Results

4.0s	4237×	body	1024	valid
873.0ms	1994×	body	512	valid
429.0ms	370×	body	2048	valid
301.0ms	1655×	body	256	valid

Bogosity

preprocess8.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 11 to 9 computations (18.2% saved)

simplify13.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 3

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.0b

Counts

4 → 2

Alt Table

Click to see full alt table

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

Compiler

Compiled 17 to 13 computations (23.5% saved)

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
✓	5.5b	(log.f64 (+.f64 1 x))
✓	5.7b	(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))

rewrite84.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 125

Calls

Call 1

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

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

simplify127.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1118×	`+-commutative`
1036×	`associate--r+`
792×	`associate-+l-`
706×	`associate--l+`
668×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	410	6223
1	1105	5347
2	5213	5343

Stop Event

1×	node limit

Counts

161 → 267

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

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 15 to 5 computations (66.7% saved)

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))

rewrite53.0ms (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))))))))

simplify61.0ms (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

eval165.0ms (1.6%)

Compiler: Compiled 9860 to 6813 computations (30.9% saved)

prune48.0ms (0.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	334	6	340
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	335	7	342

Error

Counts

342 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.2b	(fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x))
✓	0.0b	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
▶	0.1b	(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3)))) 1)
▶	0.5b	(-.f64 -1 x)
▶	0.2b	(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
▶	0.2b	(*.f64 (/.f64 1 (log1p.f64 x)) (log1p.f64 (neg.f64 x)))
	1.6b	-1

Compiler

Compiled 109 to 83 computations (23.9% saved)

localize27.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 68 to 54 computations (20.6% saved)

series2.0ms (0%)

Counts

2 → 8

Calls

6 calls:

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

rewrite94.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1196×	`associate-*r/`
858×	`associate-*l/`
402×	`associate-+l+`
372×	`associate-/r*`
322×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	48
1	337	42
2	4245	42

Stop Event

1×	node limit

Counts

2 → 158

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -5/12 (pow.f64 x 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -5/12 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -5/12)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (cbrt.f64 -5/12)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -125/1728) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 6) 25/144))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -5/12) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -5/12 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -125/1728))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -5/12 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -5/12 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -5/12 (pow.f64 x 3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -5/12 (pow.f64 x 3))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 x (-.f64 (*.f64 -5/12 (pow.f64 x 3)) (*.f64 x (*.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 -5/12 (pow.f64 x 3)) (-.f64 x (*.f64 x (*.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (*.f64 x -1/2)) (fma.f64 -5/12 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 (fma.f64 -5/12 (pow.f64 x 3) x) (fma.f64 (neg.f64 (fma.f64 -5/12 (pow.f64 x 3) x)) 1 (fma.f64 -5/12 (pow.f64 x 3) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 (fma.f64 -5/12 (pow.f64 x 3) x) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 -5/12 (pow.f64 x 3) x))) (sqrt.f64 (fma.f64 -5/12 (pow.f64 x 3) x)) (fma.f64 -5/12 (pow.f64 x 3) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 (fma.f64 -5/12 (pow.f64 x 3) x) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 -5/12 (pow.f64 x 3) x))) (pow.f64 (cbrt.f64 (fma.f64 -5/12 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(exp.f64 (log1p.f64 (*.f64 x (*.f64 x -1/2)))) (+.f64 (fma.f64 -5/12 (pow.f64 x 3) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x -1/2)))) (-.f64 1 (*.f64 -1 (fma.f64 -5/12 (pow.f64 x 3) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x -1/2)))) (-.f64 1 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 -5/12 (pow.f64 x 3) x))) (sqrt.f64 (fma.f64 -5/12 (pow.f64 x 3) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x -1/2)))) (-.f64 1 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 -5/12 (pow.f64 x 3) x)) 2)) (cbrt.f64 (fma.f64 -5/12 (pow.f64 x 3) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x -1/2)))) (-.f64 1 (neg.f64 (fma.f64 -5/12 (pow.f64 x 3) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x -1/2)))) (-.f64 1 (fma.f64 -5/12 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -1/2 (*.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (+.f64 (*.f64 -5/12 (pow.f64 x 3)) (*.f64 x (*.f64 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 -5/12 (pow.f64 x 3)) (*.f64 x (*.f64 x -1/2))) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) (*.f64 -5/12 (pow.f64 x 3))) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) (*.f64 -5/12 (pow.f64 x 3))) (-.f64 x (fma.f64 (neg.f64 (fma.f64 -5/12 (pow.f64 x 3) x)) 1 (fma.f64 -5/12 (pow.f64 x 3) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) (*.f64 -5/12 (pow.f64 x 3))) (-.f64 x (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 -5/12 (pow.f64 x 3) x))) (sqrt.f64 (fma.f64 -5/12 (pow.f64 x 3) x)) (fma.f64 -5/12 (pow.f64 x 3) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (*.f64 x 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simplify137.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1222×	`associate-+r+`
1200×	`associate-+l+`
1038×	`+-commutative`
642×	`times-frac`
560×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	414	11168
1	1232	10216
2	6041	10216

Stop Event

1×	node limit

Counts

166 → 256

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 (.f64 -5/12 (pow.f64 x 3)) (*.f64 -1 x)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -5/12 (pow.f64 x 3)) (*.f64 -1 x)))
(*.f64 -5/12 (pow.f64 x 3))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -5/12 (pow.f64 x 3)))
(*.f64 -5/12 (pow.f64 x 3))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -5/12 (pow.f64 x 3)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -5/12 (pow.f64 x 3)))) 1)
(pow.f64 (*.f64 -5/12 (pow.f64 x 3)) 1)
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -5/12)) 2)
(pow.f64 (*.f64 x (cbrt.f64 -5/12)) 3)
(pow.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -125/1728) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 6) 25/144))
(log.f64 (pow.f64 (exp.f64 -5/12) (pow.f64 x 3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -5/12 (pow.f64 x 3)))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -125/1728))
(expm1.f64 (log1p.f64 (*.f64 -5/12 (pow.f64 x 3))))
(exp.f64 (log.f64 (*.f64 -5/12 (pow.f64 x 3))))
(exp.f64 (.f64 (log.f64 (.f64 -5/12 (pow.f64 x 3))) 1))
(log1p.f64 (expm1.f64 (*.f64 -5/12 (pow.f64 x 3))))
(-.f64 x (-.f64 (.f64 -5/12 (pow.f64 x 3)) (.f64 x (*.f64 x -1/2))))
(-.f64 (.f64 -5/12 (pow.f64 x 3)) (-.f64 x (.f64 x (*.f64 x -1/2))))
(-.f64 (.f64 x (.f64 x -1/2)) (fma.f64 -5/12 (pow.f64 x 3) x))
(-.f64 (.f64 x (.f64 x -1/2)) (-.f64 (fma.f64 -5/12 (pow.f64 x 3) x) (fma.f64 (neg.f64 (fma.f64 -5/12 (pow.f64 x 3) x)) 1 (fma.f64 -5/12 (pow.f64 x 3) x))))
(-.f64 (.f64 x (.f64 x -1/2)) (-.f64 (fma.f64 -5/12 (pow.f64 x 3) x) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 -5/12 (pow.f64 x 3) x))) (sqrt.f64 (fma.f64 -5/12 (pow.f64 x 3) x)) (fma.f64 -5/12 (pow.f64 x 3) x))))
(-.f64 (.f64 x (.f64 x -1/2)) (-.f64 (fma.f64 -5/12 (pow.f64 x 3) x) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 -5/12 (pow.f64 x 3) x))) (pow.f64 (cbrt.f64 (fma.f64 -5/12 (pow.f64 x 3) x)) 2) (fma.f64 -5/12 (pow.f64 x 3) x))))
(-.f64 (fma.f64 -1/2 (.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) x)) (fma.f64 (pow.f64 x 3) -5/12 (.f64 -5/12 (pow.f64 x 3))))
(-.f64 (fma.f64 -1/2 (.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) x)) (fma.f64 5/12 (pow.f64 x 3) (.f64 -5/12 (pow.f64 x 3))))
(-.f64 (fma.f64 -1/2 (.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) x)) (fma.f64 (neg.f64 (.f64 -5/12 (pow.f64 x 3))) 1 (*.f64 -5/12 (pow.f64 x 3))))
(-.f64 (fma.f64 -1/2 (.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) x)) (fma.f64 (neg.f64 (.f64 (pow.f64 x 3/2) (sqrt.f64 -5/12))) (.f64 (pow.f64 x 3/2) (sqrt.f64 -5/12)) (.f64 -5/12 (pow.f64 x 3))))
(-.f64 (fma.f64 -1/2 (.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) x)) (fma.f64 (neg.f64 (.f64 x (cbrt.f64 -5/12))) (pow.f64 (.f64 x (cbrt.f64 -5/12)) 2) (.f64 -5/12 (pow.f64 x 3))))
(-.f64 (fma.f64 -1/2 (.f64 x x) x) (.f64 -5/12 (pow.f64 x 3)))
(-.f64 (fma.f64 -1/2 (.f64 x x) x) (.f64 -1 (*.f64 -5/12 (pow.f64 x 3))))
(-.f64 (fma.f64 -1/2 (.f64 x x) x) (.f64 5/12 (pow.f64 x 3)))
(-.f64 (fma.f64 -1/2 (.f64 x x) x) (.f64 (neg.f64 (.f64 (pow.f64 x 3/2) (sqrt.f64 -5/12))) (.f64 (pow.f64 x 3/2) (sqrt.f64 -5/12))))
(-.f64 (fma.f64 -1/2 (.f64 x x) x) (.f64 (neg.f64 (pow.f64 (.f64 x (cbrt.f64 -5/12)) 2)) (.f64 x (cbrt.f64 -5/12))))
(-.f64 (fma.f64 -1/2 (.f64 x x) x) (neg.f64 (.f64 -5/12 (pow.f64 x 3))))
(-.f64 (fma.f64 -1/2 (.f64 x x) x) (-.f64 (.f64 -5/12 (pow.f64 x 3)) (fma.f64 (neg.f64 (fma.f64 -5/12 (pow.f64 x 3) x)) 1 (fma.f64 -5/12 (pow.f64 x 3) x))))
(-.f64 (fma.f64 -1/2 (.f64 x x) x) (-.f64 (.f64 -5/12 (pow.f64 x 3)) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 -5/12 (pow.f64 x 3) x))) (sqrt.f64 (fma.f64 -5/12 (pow.f64 x 3) x)) (fma.f64 -5/12 (pow.f64 x 3) x))))
(-.f64 (fma.f64 -1/2 (.f64 x x) x) (-.f64 (.f64 -5/12 (pow.f64 x 3)) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 -5/12 (pow.f64 x 3) x))) (pow.f64 (cbrt.f64 (fma.f64 -5/12 (pow.f64 x 3) x)) 2) (fma.f64 -5/12 (pow.f64 x 3) x))))
(-.f64 0 (-.f64 (.f64 -5/12 (pow.f64 x 3)) (fma.f64 -1/2 (.f64 x x) x)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -5/12 (pow.f64 x 3) x))) (-.f64 1 (.f64 x (.f64 x -1/2))))
(-.f64 (exp.f64 (log1p.f64 (.f64 -5/12 (pow.f64 x 3)))) (-.f64 1 (fma.f64 -1/2 (.f64 x x) x)))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x -1/2)))) (+.f64 (fma.f64 -5/12 (pow.f64 x 3) x) 1))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x -1/2)))) (-.f64 1 (*.f64 -1 (fma.f64 -5/12 (pow.f64 x 3) x))))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x -1/2)))) (-.f64 1 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 -5/12 (pow.f64 x 3) x))) (sqrt.f64 (fma.f64 -5/12 (pow.f64 x 3) x)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x -1/2)))) (-.f64 1 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 -5/12 (pow.f64 x 3) x)) 2)) (cbrt.f64 (fma.f64 -5/12 (pow.f64 x 3) x)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x -1/2)))) (-.f64 1 (neg.f64 (fma.f64 -5/12 (pow.f64 x 3) x))))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x -1/2)))) (-.f64 1 (fma.f64 -5/12 (pow.f64 x 3) x)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/2 (*.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) x)))) 1)
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (+.f64 (.f64 -5/12 (pow.f64 x 3)) (.f64 x (*.f64 x -1/2)))))
(-.f64 (+.f64 (.f64 -5/12 (pow.f64 x 3)) (.f64 x (*.f64 x -1/2))) x)
(-.f64 (-.f64 (.f64 x (.f64 x -1/2)) (*.f64 -5/12 (pow.f64 x 3))) x)
(-.f64 (-.f64 (.f64 x (.f64 x -1/2)) (*.f64 -5/12 (pow.f64 x 3))) (-.f64 x (fma.f64 (neg.f64 (fma.f64 -5/12 (pow.f64 x 3) x)) 1 (fma.f64 -5/12 (pow.f64 x 3) x))))
(-.f64 (-.f64 (.f64 x (.f64 x -1/2)) (*.f64 -5/12 (pow.f64 x 3))) (-.f64 x (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 -5/12 (pow.f64 x 3) x))) (sqrt.f64 (fma.f64 -5/12 (pow.f64 x 3) x)) (fma.f64 -5/12 (pow.f64 x 3) x))))
(-.f64 (-.f64 (.f64 x (.f64 x -1/2)) (*.f64 -5/12 (pow.f64 x 3))) (-.f64 x (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 -5/12 (pow.f64 x 3) x))) (pow.f64 (cbrt.f64 (fma.f64 -5/12 (pow.f64 x 3) x)) 2) (fma.f64 -5/12 (pow.f64 x 3) x))))
(-.f64 (/.f64 x (/.f64 (fma.f64 -5/12 (pow.f64 x 3) x) x)) (-.f64 (/.f64 (pow.f64 x 6) (/.f64 (fma.f64 -5/12 (pow.f64 x 3) x) 25/144)) (.f64 x (.f64 x -1/2))))
(-.f64 (/.f64 (.f64 1/4 (pow.f64 x 4)) (fma.f64 -1/2 (.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) x))) (/.f64 (pow.f64 (fma.f64 -5/12 (pow.f64 x 3) x) 2) (fma.f64 -1/2 (*.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) x))))
(-.f64 (+.f64 (.f64 x (.f64 x -1/2)) (exp.f64 (log1p.f64 (fma.f64 -5/12 (pow.f64 x 3) x)))) 1)
(-.f64 (+.f64 (.f64 x (.f64 x -1/2)) (/.f64 x (/.f64 (fma.f64 -5/12 (pow.f64 x 3) x) x))) (/.f64 (pow.f64 x 6) (/.f64 (fma.f64 -5/12 (pow.f64 x 3) x) 25/144)))
(-.f64 (+.f64 (fma.f64 -5/12 (pow.f64 x 3) x) (exp.f64 (log1p.f64 (.f64 x (.f64 x -1/2))))) 1)
(-.f64 (+.f64 (fma.f64 -1/2 (.f64 x x) x) (exp.f64 (log1p.f64 (.f64 -5/12 (pow.f64 x 3))))) 1)
(-.f64 (+.f64 (+.f64 (.f64 -5/12 (pow.f64 x 3)) (.f64 x (*.f64 x -1/2))) 0) x)
(-.f64 (+.f64 (+.f64 (.f64 -5/12 (pow.f64 x 3)) (.f64 x (*.f64 x -1/2))) (exp.f64 (log1p.f64 x))) 1)
(-.f64 (+.f64 (.f64 (fma.f64 -1/2 (.f64 x x) x) 1) (exp.f64 (log1p.f64 (*.f64 -5/12 (pow.f64 x 3))))) 1)
(.f64 (fma.f64 -1/2 (.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) x)) 1)
(.f64 1 (fma.f64 -1/2 (.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) x)))
(.f64 (sqrt.f64 (fma.f64 -1/2 (.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) x))) (sqrt.f64 (fma.f64 -1/2 (*.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) x))))
(.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) x))) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) x))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) x))) 2) (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) x))))
(.f64 (pow.f64 (fma.f64 -1/2 (.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) x)) 2) (/.f64 1 (fma.f64 -1/2 (*.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) x))))
(.f64 (+.f64 (.f64 (pow.f64 x 6) -1/8) (pow.f64 (fma.f64 -5/12 (pow.f64 x 3) x) 3)) (/.f64 1 (+.f64 (.f64 1/4 (pow.f64 x 4)) (.f64 (fma.f64 -5/12 (pow.f64 x 3) x) (-.f64 (.f64 -5/12 (pow.f64 x 3)) (fma.f64 -1/2 (.f64 x x) x))))))
(.f64 (+.f64 (sqrt.f64 (fma.f64 -5/12 (pow.f64 x 3) x)) (.f64 x (sqrt.f64 -1/2))) (-.f64 (*.f64 x (sqrt.f64 -1/2)) (sqrt.f64 (fma.f64 -5/12 (pow.f64 x 3) x))))
(.f64 (/.f64 1 (+.f64 (.f64 1/4 (pow.f64 x 4)) (.f64 (fma.f64 -5/12 (pow.f64 x 3) x) (-.f64 (.f64 -5/12 (pow.f64 x 3)) (fma.f64 -1/2 (.f64 x x) x))))) (+.f64 (.f64 (pow.f64 x 6) -1/8) (pow.f64 (fma.f64 -5/12 (pow.f64 x 3) x) 3)))
(.f64 (/.f64 1 (fma.f64 -1/2 (.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) x))) (pow.f64 (fma.f64 -1/2 (*.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) x)) 2))
(.f64 (/.f64 (pow.f64 (fma.f64 -1/2 (.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) x)) 2) 1) (/.f64 1 (fma.f64 -1/2 (*.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) x))))
(.f64 (/.f64 (pow.f64 (fma.f64 -1/2 (.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) x)) 2) (pow.f64 (fma.f64 -1/2 (.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) x)) 2)) (fma.f64 -1/2 (.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) x)))
(.f64 (/.f64 (pow.f64 (fma.f64 -1/2 (.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) x)) 2) (+.f64 (.f64 (pow.f64 x 6) -1/8) (pow.f64 (fma.f64 -5/12 (pow.f64 x 3) x) 3))) (+.f64 (.f64 1/4 (pow.f64 x 4)) (.f64 (fma.f64 -5/12 (pow.f64 x 3) x) (-.f64 (.f64 -5/12 (pow.f64 x 3)) (fma.f64 -1/2 (*.f64 x x) x)))))
(.f64 (/.f64 (pow.f64 (fma.f64 -1/2 (.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) x)) 2) (-.f64 (pow.f64 (fma.f64 -5/12 (pow.f64 x 3) x) 2) (.f64 1/4 (pow.f64 x 4)))) (-.f64 (.f64 -5/12 (pow.f64 x 3)) (fma.f64 -1/2 (*.f64 x x) x)))
(.f64 (/.f64 (pow.f64 (fma.f64 -1/2 (.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) x)) 2) (-.f64 (.f64 (fma.f64 -1/2 (.f64 x x) x) (fma.f64 -1/2 (.f64 x x) x)) (.f64 (pow.f64 x 6) 25/144))) (fma.f64 -1/2 (*.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) x)))
(.f64 (/.f64 (pow.f64 (fma.f64 -1/2 (.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) x)) 2) (+.f64 (.f64 (pow.f64 (pow.f64 x 3) 3) -125/1728) (pow.f64 (fma.f64 -1/2 (.f64 x x) x) 3))) (+.f64 (.f64 (fma.f64 -1/2 (.f64 x x) x) (fma.f64 -1/2 (.f64 x x) x)) (-.f64 (.f64 (pow.f64 x 6) 25/144) (.f64 (fma.f64 -1/2 (.f64 x x) x) (*.f64 -5/12 (pow.f64 x 3))))))
(.f64 (/.f64 (pow.f64 (fma.f64 -1/2 (.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) x)) 2) (neg.f64 (pow.f64 (fma.f64 -1/2 (.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) x)) 2))) (neg.f64 (fma.f64 -1/2 (.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) x))))
(.f64 (/.f64 (pow.f64 (fma.f64 -1/2 (.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) x)) 2) (neg.f64 (+.f64 (.f64 (pow.f64 x 6) -1/8) (pow.f64 (fma.f64 -5/12 (pow.f64 x 3) x) 3)))) (neg.f64 (+.f64 (.f64 1/4 (pow.f64 x 4)) (.f64 (fma.f64 -5/12 (pow.f64 x 3) x) (-.f64 (.f64 -5/12 (pow.f64 x 3)) (fma.f64 -1/2 (*.f64 x x) x))))))
(.f64 (/.f64 (pow.f64 (fma.f64 -1/2 (.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) x)) 2) (-.f64 (.f64 (pow.f64 x 6) -1/8) (pow.f64 (fma.f64 -5/12 (pow.f64 x 3) x) 3))) (+.f64 (.f64 1/4 (pow.f64 x 4)) (+.f64 (pow.f64 (fma.f64 -5/12 (pow.f64 x 3) x) 2) (.f64 (.f64 x x) (*.f64 -1/2 (fma.f64 -5/12 (pow.f64 x 3) x))))))
(.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 6) -1/8) (pow.f64 (fma.f64 -5/12 (pow.f64 x 3) x) 3)) (-.f64 (.f64 (.f64 1/4 (pow.f64 x 4)) (.f64 1/4 (pow.f64 x 4))) (.f64 (.f64 (fma.f64 -5/12 (pow.f64 x 3) x) (-.f64 (.f64 -5/12 (pow.f64 x 3)) (fma.f64 -1/2 (.f64 x x) x))) (.f64 (fma.f64 -5/12 (pow.f64 x 3) x) (-.f64 (.f64 -5/12 (pow.f64 x 3)) (fma.f64 -1/2 (.f64 x x) x)))))) (-.f64 (.f64 1/4 (pow.f64 x 4)) (.f64 (fma.f64 -5/12 (pow.f64 x 3) x) (-.f64 (.f64 -5/12 (pow.f64 x 3)) (fma.f64 -1/2 (.f64 x x) x)))))
(.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 6) -1/8) (pow.f64 (fma.f64 -5/12 (pow.f64 x 3) x) 3)) (+.f64 (pow.f64 (.f64 1/4 (pow.f64 x 4)) 3) (pow.f64 (.f64 (fma.f64 -5/12 (pow.f64 x 3) x) (-.f64 (.f64 -5/12 (pow.f64 x 3)) (fma.f64 -1/2 (.f64 x x) x))) 3))) (+.f64 (.f64 (.f64 1/4 (pow.f64 x 4)) (.f64 1/4 (pow.f64 x 4))) (-.f64 (.f64 (.f64 (fma.f64 -5/12 (pow.f64 x 3) x) (-.f64 (.f64 -5/12 (pow.f64 x 3)) (fma.f64 -1/2 (.f64 x x) x))) (.f64 (fma.f64 -5/12 (pow.f64 x 3) x) (-.f64 (.f64 -5/12 (pow.f64 x 3)) (fma.f64 -1/2 (.f64 x x) x)))) (.f64 (.f64 1/4 (pow.f64 x 4)) (.f64 (fma.f64 -5/12 (pow.f64 x 3) x) (-.f64 (.f64 -5/12 (pow.f64 x 3)) (fma.f64 -1/2 (*.f64 x x) x)))))))
(.f64 (/.f64 (-.f64 (.f64 (fma.f64 -1/2 (.f64 x x) x) (fma.f64 -1/2 (.f64 x x) x)) (.f64 (pow.f64 x 6) 25/144)) (pow.f64 (fma.f64 -1/2 (.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) x)) 2)) (fma.f64 -1/2 (*.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) x)))
(.f64 (/.f64 (-.f64 (.f64 (fma.f64 -1/2 (.f64 x x) x) (fma.f64 -1/2 (.f64 x x) x)) (.f64 (pow.f64 x 6) 25/144)) (-.f64 (.f64 (pow.f64 x 6) -1/8) (pow.f64 (fma.f64 -5/12 (pow.f64 x 3) x) 3))) (+.f64 (.f64 1/4 (pow.f64 x 4)) (+.f64 (pow.f64 (fma.f64 -5/12 (pow.f64 x 3) x) 2) (.f64 (.f64 x x) (.f64 -1/2 (fma.f64 -5/12 (pow.f64 x 3) x))))))
(/.f64 (fma.f64 -1/2 (*.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) x)) 1)
(/.f64 (fma.f64 -1/2 (.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) x)) (/.f64 (fma.f64 -1/2 (.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) x)) (fma.f64 -1/2 (*.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) x))))
(/.f64 1 (/.f64 1 (fma.f64 -1/2 (*.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) x))))
(/.f64 (pow.f64 (fma.f64 -1/2 (.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) x)) 2) (fma.f64 -1/2 (.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) x)))
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(fma.f64 -1/2 (*.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) x))
(fma.f64 -1/2 (*.f64 x x) (neg.f64 (fma.f64 -5/12 (pow.f64 x 3) x)))
(fma.f64 (*.f64 x x) -1/2 (fma.f64 -5/12 (pow.f64 x 3) x))
(fma.f64 (*.f64 x x) -1/2 (neg.f64 (fma.f64 -5/12 (pow.f64 x 3) x)))
(fma.f64 1 (.f64 x (.f64 x -1/2)) (fma.f64 -5/12 (pow.f64 x 3) x))
(fma.f64 1 (.f64 x (.f64 x -1/2)) (neg.f64 (fma.f64 -5/12 (pow.f64 x 3) x)))
(fma.f64 1 (fma.f64 -5/12 (pow.f64 x 3) x) (.f64 x (.f64 x -1/2)))
(fma.f64 (sqrt.f64 (fma.f64 -5/12 (pow.f64 x 3) x)) (sqrt.f64 (fma.f64 -5/12 (pow.f64 x 3) x)) (.f64 x (.f64 x -1/2)))
(fma.f64 (.f64 x (sqrt.f64 -1/2)) (.f64 x (sqrt.f64 -1/2)) (fma.f64 -5/12 (pow.f64 x 3) x))
(fma.f64 (.f64 x (sqrt.f64 -1/2)) (.f64 x (sqrt.f64 -1/2)) (neg.f64 (fma.f64 -5/12 (pow.f64 x 3) x)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -5/12 (pow.f64 x 3) x)) 2) (cbrt.f64 (fma.f64 -5/12 (pow.f64 x 3) x)) (.f64 x (.f64 x -1/2)))
(fma.f64 (cbrt.f64 (.f64 1/4 (pow.f64 x 4))) (cbrt.f64 (.f64 x (*.f64 x -1/2))) (fma.f64 -5/12 (pow.f64 x 3) x))
(fma.f64 (cbrt.f64 (.f64 1/4 (pow.f64 x 4))) (cbrt.f64 (.f64 x (*.f64 x -1/2))) (neg.f64 (fma.f64 -5/12 (pow.f64 x 3) x)))

Outputs
(*.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 x (.f64 x -1/2)) x)
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -5/12 (pow.f64 x 3)) (*.f64 -1 x)))
(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) (neg.f64 x)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -5/12 (pow.f64 x 3)) (*.f64 -1 x)))
(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) (neg.f64 x)))
(*.f64 -5/12 (pow.f64 x 3))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -5/12 (pow.f64 x 3)))
(fma.f64 -1/2 (.f64 x x) (.f64 -5/12 (pow.f64 x 3)))
(fma.f64 x (.f64 x -1/2) (.f64 -5/12 (pow.f64 x 3)))
(*.f64 -5/12 (pow.f64 x 3))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -5/12 (pow.f64 x 3)))
(fma.f64 -1/2 (.f64 x x) (.f64 -5/12 (pow.f64 x 3)))
(fma.f64 x (.f64 x -1/2) (.f64 -5/12 (pow.f64 x 3)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -5/12 (pow.f64 x 3)))) 1)
(*.f64 -5/12 (pow.f64 x 3))
(pow.f64 (*.f64 -5/12 (pow.f64 x 3)) 1)
(*.f64 -5/12 (pow.f64 x 3))
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -5/12)) 2)
(pow.f64 (*.f64 x (cbrt.f64 -5/12)) 3)
(*.f64 -5/12 (pow.f64 x 3))
(pow.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -125/1728) 1/3)
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -125/1728))
(cbrt.f64 (.f64 (.f64 x (pow.f64 x 8)) -125/1728))
(sqrt.f64 (*.f64 (pow.f64 x 6) 25/144))
(log.f64 (pow.f64 (exp.f64 -5/12) (pow.f64 x 3)))
(*.f64 -5/12 (pow.f64 x 3))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -5/12 (pow.f64 x 3)))))
(*.f64 -5/12 (pow.f64 x 3))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -125/1728))
(cbrt.f64 (.f64 (.f64 x (pow.f64 x 8)) -125/1728))
(expm1.f64 (log1p.f64 (*.f64 -5/12 (pow.f64 x 3))))
(*.f64 -5/12 (pow.f64 x 3))
(exp.f64 (log.f64 (*.f64 -5/12 (pow.f64 x 3))))
(*.f64 -5/12 (pow.f64 x 3))
(exp.f64 (.f64 (log.f64 (.f64 -5/12 (pow.f64 x 3))) 1))
(*.f64 -5/12 (pow.f64 x 3))
(log1p.f64 (expm1.f64 (*.f64 -5/12 (pow.f64 x 3))))
(*.f64 -5/12 (pow.f64 x 3))
(-.f64 x (-.f64 (.f64 -5/12 (pow.f64 x 3)) (.f64 x (*.f64 x -1/2))))
(-.f64 x (fma.f64 -5/12 (pow.f64 x 3) (neg.f64 (.f64 -1/2 (.f64 x x)))))
(fma.f64 (pow.f64 x 3) 5/12 (fma.f64 x (*.f64 x -1/2) x))
(-.f64 (.f64 -5/12 (pow.f64 x 3)) (-.f64 x (.f64 x (*.f64 x -1/2))))
(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) (neg.f64 x)))
(-.f64 (.f64 x (.f64 x -1/2)) (fma.f64 -5/12 (pow.f64 x 3) x))
(-.f64 (.f64 -1/2 (.f64 x x)) (fma.f64 -5/12 (pow.f64 x 3) x))
(-.f64 (.f64 x (.f64 x -1/2)) (-.f64 (fma.f64 -5/12 (pow.f64 x 3) x) (fma.f64 (neg.f64 (fma.f64 -5/12 (pow.f64 x 3) x)) 1 (fma.f64 -5/12 (pow.f64 x 3) x))))
(+.f64 (-.f64 (.f64 -1/2 (.f64 x x)) (fma.f64 -5/12 (pow.f64 x 3) x)) (fma.f64 (neg.f64 (fma.f64 -5/12 (pow.f64 x 3) x)) 1 (fma.f64 -5/12 (pow.f64 x 3) x)))
(+.f64 (-.f64 (.f64 x (.f64 x -1/2)) (fma.f64 -5/12 (pow.f64 x 3) x)) (+.f64 (fma.f64 -5/12 (pow.f64 x 3) x) (-.f64 (*.f64 (pow.f64 x 3) 5/12) x)))
(+.f64 (fma.f64 -5/12 (pow.f64 x 3) x) (+.f64 (-.f64 (.f64 x (.f64 x -1/2)) (fma.f64 -5/12 (pow.f64 x 3) x)) (-.f64 (*.f64 (pow.f64 x 3) 5/12) x)))
(-.f64 (.f64 x (.f64 x -1/2)) (-.f64 (fma.f64 -5/12 (pow.f64 x 3) x) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 -5/12 (pow.f64 x 3) x))) (sqrt.f64 (fma.f64 -5/12 (pow.f64 x 3) x)) (fma.f64 -5/12 (pow.f64 x 3) x))))
(+.f64 (-.f64 (.f64 -1/2 (.f64 x x)) (fma.f64 -5/12 (pow.f64 x 3) x)) (fma.f64 (neg.f64 (fma.f64 -5/12 (pow.f64 x 3) x)) 1 (fma.f64 -5/12 (pow.f64 x 3) x)))
(+.f64 (-.f64 (.f64 x (.f64 x -1/2)) (fma.f64 -5/12 (pow.f64 x 3) x)) (+.f64 (fma.f64 -5/12 (pow.f64 x 3) x) (-.f64 (*.f64 (pow.f64 x 3) 5/12) x)))
(+.f64 (fma.f64 -5/12 (pow.f64 x 3) x) (+.f64 (-.f64 (.f64 x (.f64 x -1/2)) (fma.f64 -5/12 (pow.f64 x 3) x)) (-.f64 (*.f64 (pow.f64 x 3) 5/12) x)))
(-.f64 (.f64 x (.f64 x -1/2)) (-.f64 (fma.f64 -5/12 (pow.f64 x 3) x) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 -5/12 (pow.f64 x 3) x))) (pow.f64 (cbrt.f64 (fma.f64 -5/12 (pow.f64 x 3) x)) 2) (fma.f64 -5/12 (pow.f64 x 3) x))))
(+.f64 (-.f64 (.f64 -1/2 (.f64 x x)) (fma.f64 -5/12 (pow.f64 x 3) x)) (fma.f64 (neg.f64 (fma.f64 -5/12 (pow.f64 x 3) x)) 1 (fma.f64 -5/12 (pow.f64 x 3) x)))
(+.f64 (-.f64 (.f64 x (.f64 x -1/2)) (fma.f64 -5/12 (pow.f64 x 3) x)) (+.f64 (fma.f64 -5/12 (pow.f64 x 3) x) (-.f64 (*.f64 (pow.f64 x 3) 5/12) x)))
(+.f64 (fma.f64 -5/12 (pow.f64 x 3) x) (+.f64 (-.f64 (.f64 x (.f64 x -1/2)) (fma.f64 -5/12 (pow.f64 x 3) x)) (-.f64 (*.f64 (pow.f64 x 3) 5/12) x)))
(-.f64 (fma.f64 -1/2 (.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) x)) (fma.f64 (pow.f64 x 3) -5/12 (.f64 -5/12 (pow.f64 x 3))))
(-.f64 (fma.f64 -5/12 (pow.f64 x 3) (fma.f64 x (.f64 x -1/2) x)) (.f64 (pow.f64 x 3) -5/6))
(-.f64 (fma.f64 -1/2 (.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) x)) (fma.f64 5/12 (pow.f64 x 3) (.f64 -5/12 (pow.f64 x 3))))
(+.f64 (fma.f64 -5/12 (pow.f64 x 3) (fma.f64 x (.f64 x -1/2) x)) (.f64 (pow.f64 x 3) 0))
(-.f64 (fma.f64 -1/2 (.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) x)) (fma.f64 (neg.f64 (.f64 -5/12 (pow.f64 x 3))) 1 (*.f64 -5/12 (pow.f64 x 3))))
(-.f64 (fma.f64 -1/2 (.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) x)) (fma.f64 5/12 (pow.f64 x 3) (.f64 -5/12 (pow.f64 x 3))))
(+.f64 (fma.f64 -5/12 (pow.f64 x 3) (fma.f64 x (.f64 x -1/2) x)) (.f64 (pow.f64 x 3) 0))
(-.f64 (fma.f64 -1/2 (.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) x)) (fma.f64 (neg.f64 (.f64 (pow.f64 x 3/2) (sqrt.f64 -5/12))) (.f64 (pow.f64 x 3/2) (sqrt.f64 -5/12)) (.f64 -5/12 (pow.f64 x 3))))
(-.f64 (fma.f64 -1/2 (.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) x)) (+.f64 (neg.f64 (pow.f64 (.f64 (pow.f64 x 3/2) (sqrt.f64 -5/12)) 2)) (*.f64 -5/12 (pow.f64 x 3))))
(+.f64 (fma.f64 -5/12 (pow.f64 x 3) (fma.f64 x (.f64 x -1/2) x)) (+.f64 (pow.f64 (.f64 (pow.f64 x 3/2) (sqrt.f64 -5/12)) 2) (*.f64 (pow.f64 x 3) 5/12)))
(+.f64 (pow.f64 (.f64 (pow.f64 x 3/2) (sqrt.f64 -5/12)) 2) (+.f64 (.f64 (pow.f64 x 3) 5/12) (fma.f64 -5/12 (pow.f64 x 3) (fma.f64 x (*.f64 x -1/2) x))))
(-.f64 (fma.f64 -1/2 (.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) x)) (fma.f64 (neg.f64 (.f64 x (cbrt.f64 -5/12))) (pow.f64 (.f64 x (cbrt.f64 -5/12)) 2) (.f64 -5/12 (pow.f64 x 3))))
(-.f64 (fma.f64 -1/2 (.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) x)) (fma.f64 5/12 (pow.f64 x 3) (.f64 -5/12 (pow.f64 x 3))))
(+.f64 (fma.f64 -5/12 (pow.f64 x 3) (fma.f64 x (.f64 x -1/2) x)) (.f64 (pow.f64 x 3) 0))
(-.f64 (fma.f64 -1/2 (.f64 x x) x) (.f64 -5/12 (pow.f64 x 3)))
(-.f64 x (fma.f64 -5/12 (pow.f64 x 3) (neg.f64 (.f64 -1/2 (.f64 x x)))))
(fma.f64 (pow.f64 x 3) 5/12 (fma.f64 x (*.f64 x -1/2) x))
(-.f64 (fma.f64 -1/2 (.f64 x x) x) (.f64 -1 (*.f64 -5/12 (pow.f64 x 3))))
(+.f64 (fma.f64 -1/2 (.f64 x x) x) (.f64 -5/12 (pow.f64 x 3)))
(fma.f64 -5/12 (pow.f64 x 3) (fma.f64 x (*.f64 x -1/2) x))
(-.f64 (fma.f64 -1/2 (.f64 x x) x) (.f64 5/12 (pow.f64 x 3)))
(+.f64 (fma.f64 -1/2 (.f64 x x) x) (.f64 -5/12 (pow.f64 x 3)))
(fma.f64 -5/12 (pow.f64 x 3) (fma.f64 x (*.f64 x -1/2) x))
(-.f64 (fma.f64 -1/2 (.f64 x x) x) (.f64 (neg.f64 (.f64 (pow.f64 x 3/2) (sqrt.f64 -5/12))) (.f64 (pow.f64 x 3/2) (sqrt.f64 -5/12))))
(+.f64 (fma.f64 -1/2 (.f64 x x) x) (pow.f64 (.f64 (pow.f64 x 3/2) (sqrt.f64 -5/12)) 2))
(+.f64 (fma.f64 x (.f64 x -1/2) x) (pow.f64 (.f64 (pow.f64 x 3/2) (sqrt.f64 -5/12)) 2))
(-.f64 (fma.f64 -1/2 (.f64 x x) x) (.f64 (neg.f64 (pow.f64 (.f64 x (cbrt.f64 -5/12)) 2)) (.f64 x (cbrt.f64 -5/12))))
(+.f64 (fma.f64 -1/2 (.f64 x x) x) (.f64 -5/12 (pow.f64 x 3)))
(fma.f64 -5/12 (pow.f64 x 3) (fma.f64 x (*.f64 x -1/2) x))
(-.f64 (fma.f64 -1/2 (.f64 x x) x) (neg.f64 (.f64 -5/12 (pow.f64 x 3))))
(+.f64 (fma.f64 -1/2 (.f64 x x) x) (.f64 -5/12 (pow.f64 x 3)))
(fma.f64 -5/12 (pow.f64 x 3) (fma.f64 x (*.f64 x -1/2) x))
(-.f64 (fma.f64 -1/2 (.f64 x x) x) (-.f64 (.f64 -5/12 (pow.f64 x 3)) (fma.f64 (neg.f64 (fma.f64 -5/12 (pow.f64 x 3) x)) 1 (fma.f64 -5/12 (pow.f64 x 3) x))))
(+.f64 (+.f64 (fma.f64 -1/2 (.f64 x x) x) (.f64 (pow.f64 x 3) 5/12)) (fma.f64 (neg.f64 (fma.f64 -5/12 (pow.f64 x 3) x)) 1 (fma.f64 -5/12 (pow.f64 x 3) x)))
(+.f64 (+.f64 (fma.f64 (pow.f64 x 3) 5/12 (fma.f64 x (.f64 x -1/2) x)) (-.f64 (.f64 (pow.f64 x 3) 5/12) x)) (fma.f64 -5/12 (pow.f64 x 3) x))
(+.f64 (fma.f64 -5/12 (pow.f64 x 3) x) (+.f64 (-.f64 (.f64 (pow.f64 x 3) 5/12) x) (fma.f64 (pow.f64 x 3) 5/12 (fma.f64 x (.f64 x -1/2) x))))
(-.f64 (fma.f64 -1/2 (.f64 x x) x) (-.f64 (.f64 -5/12 (pow.f64 x 3)) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 -5/12 (pow.f64 x 3) x))) (sqrt.f64 (fma.f64 -5/12 (pow.f64 x 3) x)) (fma.f64 -5/12 (pow.f64 x 3) x))))
(+.f64 (+.f64 (fma.f64 -1/2 (.f64 x x) x) (.f64 (pow.f64 x 3) 5/12)) (fma.f64 (neg.f64 (fma.f64 -5/12 (pow.f64 x 3) x)) 1 (fma.f64 -5/12 (pow.f64 x 3) x)))
(+.f64 (+.f64 (fma.f64 (pow.f64 x 3) 5/12 (fma.f64 x (.f64 x -1/2) x)) (-.f64 (.f64 (pow.f64 x 3) 5/12) x)) (fma.f64 -5/12 (pow.f64 x 3) x))
(+.f64 (fma.f64 -5/12 (pow.f64 x 3) x) (+.f64 (-.f64 (.f64 (pow.f64 x 3) 5/12) x) (fma.f64 (pow.f64 x 3) 5/12 (fma.f64 x (.f64 x -1/2) x))))
(-.f64 (fma.f64 -1/2 (.f64 x x) x) (-.f64 (.f64 -5/12 (pow.f64 x 3)) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 -5/12 (pow.f64 x 3) x))) (pow.f64 (cbrt.f64 (fma.f64 -5/12 (pow.f64 x 3) x)) 2) (fma.f64 -5/12 (pow.f64 x 3) x))))
(+.f64 (+.f64 (fma.f64 -1/2 (.f64 x x) x) (.f64 (pow.f64 x 3) 5/12)) (fma.f64 (neg.f64 (fma.f64 -5/12 (pow.f64 x 3) x)) 1 (fma.f64 -5/12 (pow.f64 x 3) x)))
(+.f64 (+.f64 (fma.f64 (pow.f64 x 3) 5/12 (fma.f64 x (.f64 x -1/2) x)) (-.f64 (.f64 (pow.f64 x 3) 5/12) x)) (fma.f64 -5/12 (pow.f64 x 3) x))
(+.f64 (fma.f64 -5/12 (pow.f64 x 3) x) (+.f64 (-.f64 (.f64 (pow.f64 x 3) 5/12) x) (fma.f64 (pow.f64 x 3) 5/12 (fma.f64 x (.f64 x -1/2) x))))
(-.f64 0 (-.f64 (.f64 -5/12 (pow.f64 x 3)) (fma.f64 -1/2 (.f64 x x) x)))
(-.f64 x (fma.f64 -5/12 (pow.f64 x 3) (neg.f64 (.f64 -1/2 (.f64 x x)))))
(fma.f64 (pow.f64 x 3) 5/12 (fma.f64 x (*.f64 x -1/2) x))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -5/12 (pow.f64 x 3) x))) (-.f64 1 (.f64 x (.f64 x -1/2))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -5/12 (pow.f64 x 3) x))) (-.f64 1 (.f64 -1/2 (.f64 x x))))
(fma.f64 x (*.f64 x -1/2) (expm1.f64 (log1p.f64 (fma.f64 -5/12 (pow.f64 x 3) x))))
(-.f64 (exp.f64 (log1p.f64 (.f64 -5/12 (pow.f64 x 3)))) (-.f64 1 (fma.f64 -1/2 (.f64 x x) x)))
(+.f64 (fma.f64 -1/2 (.f64 x x) x) (.f64 -5/12 (pow.f64 x 3)))
(fma.f64 -5/12 (pow.f64 x 3) (fma.f64 x (*.f64 x -1/2) x))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x -1/2)))) (+.f64 (fma.f64 -5/12 (pow.f64 x 3) x) 1))
(-.f64 (exp.f64 (log1p.f64 (.f64 -1/2 (.f64 x x)))) (+.f64 1 (fma.f64 -5/12 (pow.f64 x 3) x)))
(-.f64 (expm1.f64 (log1p.f64 (.f64 x (.f64 x -1/2)))) (fma.f64 -5/12 (pow.f64 x 3) x))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x -1/2)))) (-.f64 1 (*.f64 -1 (fma.f64 -5/12 (pow.f64 x 3) x))))
(-.f64 (exp.f64 (log1p.f64 (.f64 -1/2 (.f64 x x)))) (+.f64 1 (fma.f64 -5/12 (pow.f64 x 3) x)))
(-.f64 (expm1.f64 (log1p.f64 (.f64 x (.f64 x -1/2)))) (fma.f64 -5/12 (pow.f64 x 3) x))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x -1/2)))) (-.f64 1 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 -5/12 (pow.f64 x 3) x))) (sqrt.f64 (fma.f64 -5/12 (pow.f64 x 3) x)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 -1/2 (.f64 x x)))) (+.f64 1 (fma.f64 -5/12 (pow.f64 x 3) x)))
(-.f64 (expm1.f64 (log1p.f64 (.f64 x (.f64 x -1/2)))) (fma.f64 -5/12 (pow.f64 x 3) x))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x -1/2)))) (-.f64 1 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 -5/12 (pow.f64 x 3) x)) 2)) (cbrt.f64 (fma.f64 -5/12 (pow.f64 x 3) x)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 -1/2 (.f64 x x)))) (+.f64 1 (fma.f64 -5/12 (pow.f64 x 3) x)))
(-.f64 (expm1.f64 (log1p.f64 (.f64 x (.f64 x -1/2)))) (fma.f64 -5/12 (pow.f64 x 3) x))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x -1/2)))) (-.f64 1 (neg.f64 (fma.f64 -5/12 (pow.f64 x 3) x))))
(-.f64 (exp.f64 (log1p.f64 (.f64 -1/2 (.f64 x x)))) (+.f64 1 (fma.f64 -5/12 (pow.f64 x 3) x)))
(-.f64 (expm1.f64 (log1p.f64 (.f64 x (.f64 x -1/2)))) (fma.f64 -5/12 (pow.f64 x 3) x))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x -1/2)))) (-.f64 1 (fma.f64 -5/12 (pow.f64 x 3) x)))
(+.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 -1/2 (.f64 x x)))) 1) (fma.f64 -5/12 (pow.f64 x 3) x))
(+.f64 (fma.f64 -5/12 (pow.f64 x 3) x) (expm1.f64 (log1p.f64 (.f64 x (.f64 x -1/2)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/2 (*.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) x)))) 1)
(+.f64 (fma.f64 -1/2 (.f64 x x) x) (.f64 -5/12 (pow.f64 x 3)))
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(pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) x))) 3)
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(fma.f64 -5/12 (pow.f64 x 3) (fma.f64 x (*.f64 x -1/2) x))
(pow.f64 (pow.f64 (fma.f64 -1/2 (*.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) x)) 3) 1/3)
(+.f64 (fma.f64 -1/2 (.f64 x x) x) (.f64 -5/12 (pow.f64 x 3)))
(fma.f64 -5/12 (pow.f64 x 3) (fma.f64 x (*.f64 x -1/2) x))
(sqrt.f64 (pow.f64 (fma.f64 -1/2 (*.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) x)) 2))
(fabs.f64 (fma.f64 -5/12 (pow.f64 x 3) (fma.f64 x (*.f64 x -1/2) x)))
(log.f64 (exp.f64 (fma.f64 -1/2 (*.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) x))))
(+.f64 (fma.f64 -1/2 (.f64 x x) x) (.f64 -5/12 (pow.f64 x 3)))
(fma.f64 -5/12 (pow.f64 x 3) (fma.f64 x (*.f64 x -1/2) x))
(log.f64 (/.f64 (pow.f64 (exp.f64 -1/2) (*.f64 x x)) (exp.f64 (fma.f64 -5/12 (pow.f64 x 3) x))))
(-.f64 (.f64 (.f64 x x) (log.f64 (exp.f64 -1/2))) (fma.f64 -5/12 (pow.f64 x 3) x))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/2 (*.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) x)))))
(+.f64 (fma.f64 -1/2 (.f64 x x) x) (.f64 -5/12 (pow.f64 x 3)))
(fma.f64 -5/12 (pow.f64 x 3) (fma.f64 x (*.f64 x -1/2) x))
(cbrt.f64 (pow.f64 (fma.f64 -1/2 (*.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) x)) 3))
(+.f64 (fma.f64 -1/2 (.f64 x x) x) (.f64 -5/12 (pow.f64 x 3)))
(fma.f64 -5/12 (pow.f64 x 3) (fma.f64 x (*.f64 x -1/2) x))
(expm1.f64 (log1p.f64 (fma.f64 -1/2 (*.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) x))))
(+.f64 (fma.f64 -1/2 (.f64 x x) x) (.f64 -5/12 (pow.f64 x 3)))
(fma.f64 -5/12 (pow.f64 x 3) (fma.f64 x (*.f64 x -1/2) x))
(exp.f64 (log.f64 (fma.f64 -1/2 (*.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) x))))
(+.f64 (fma.f64 -1/2 (.f64 x x) x) (.f64 -5/12 (pow.f64 x 3)))
(fma.f64 -5/12 (pow.f64 x 3) (fma.f64 x (*.f64 x -1/2) x))
(exp.f64 (.f64 (log.f64 (fma.f64 -1/2 (.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) x))) 1))
(+.f64 (fma.f64 -1/2 (.f64 x x) x) (.f64 -5/12 (pow.f64 x 3)))
(fma.f64 -5/12 (pow.f64 x 3) (fma.f64 x (*.f64 x -1/2) x))
(log1p.f64 (expm1.f64 (fma.f64 -1/2 (*.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) x))))
(+.f64 (fma.f64 -1/2 (.f64 x x) x) (.f64 -5/12 (pow.f64 x 3)))
(fma.f64 -5/12 (pow.f64 x 3) (fma.f64 x (*.f64 x -1/2) x))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) x))
(+.f64 (fma.f64 -1/2 (.f64 x x) x) (.f64 -5/12 (pow.f64 x 3)))
(fma.f64 -5/12 (pow.f64 x 3) (fma.f64 x (*.f64 x -1/2) x))
(fma.f64 -1/2 (*.f64 x x) (neg.f64 (fma.f64 -5/12 (pow.f64 x 3) x)))
(-.f64 (.f64 -1/2 (.f64 x x)) (fma.f64 -5/12 (pow.f64 x 3) x))
(-.f64 (.f64 x (.f64 x -1/2)) (fma.f64 -5/12 (pow.f64 x 3) x))
(fma.f64 (*.f64 x x) -1/2 (fma.f64 -5/12 (pow.f64 x 3) x))
(+.f64 (fma.f64 -1/2 (.f64 x x) x) (.f64 -5/12 (pow.f64 x 3)))
(fma.f64 -5/12 (pow.f64 x 3) (fma.f64 x (*.f64 x -1/2) x))
(fma.f64 (*.f64 x x) -1/2 (neg.f64 (fma.f64 -5/12 (pow.f64 x 3) x)))
(-.f64 (.f64 -1/2 (.f64 x x)) (fma.f64 -5/12 (pow.f64 x 3) x))
(-.f64 (.f64 x (.f64 x -1/2)) (fma.f64 -5/12 (pow.f64 x 3) x))
(fma.f64 1 (.f64 x (.f64 x -1/2)) (fma.f64 -5/12 (pow.f64 x 3) x))
(+.f64 (fma.f64 -1/2 (.f64 x x) x) (.f64 -5/12 (pow.f64 x 3)))
(fma.f64 -5/12 (pow.f64 x 3) (fma.f64 x (*.f64 x -1/2) x))
(fma.f64 1 (.f64 x (.f64 x -1/2)) (neg.f64 (fma.f64 -5/12 (pow.f64 x 3) x)))
(-.f64 (.f64 -1/2 (.f64 x x)) (fma.f64 -5/12 (pow.f64 x 3) x))
(-.f64 (.f64 x (.f64 x -1/2)) (fma.f64 -5/12 (pow.f64 x 3) x))
(fma.f64 1 (fma.f64 -5/12 (pow.f64 x 3) x) (.f64 x (.f64 x -1/2)))
(+.f64 (fma.f64 -1/2 (.f64 x x) x) (.f64 -5/12 (pow.f64 x 3)))
(fma.f64 -5/12 (pow.f64 x 3) (fma.f64 x (*.f64 x -1/2) x))
(fma.f64 (sqrt.f64 (fma.f64 -5/12 (pow.f64 x 3) x)) (sqrt.f64 (fma.f64 -5/12 (pow.f64 x 3) x)) (.f64 x (.f64 x -1/2)))
(+.f64 (fma.f64 -1/2 (.f64 x x) x) (.f64 -5/12 (pow.f64 x 3)))
(fma.f64 -5/12 (pow.f64 x 3) (fma.f64 x (*.f64 x -1/2) x))
(fma.f64 (.f64 x (sqrt.f64 -1/2)) (.f64 x (sqrt.f64 -1/2)) (fma.f64 -5/12 (pow.f64 x 3) x))
(fma.f64 (.f64 x (sqrt.f64 -1/2)) (.f64 x (sqrt.f64 -1/2)) (neg.f64 (fma.f64 -5/12 (pow.f64 x 3) x)))
(-.f64 (.f64 x (.f64 (sqrt.f64 -1/2) (*.f64 x (sqrt.f64 -1/2)))) (fma.f64 -5/12 (pow.f64 x 3) x))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -5/12 (pow.f64 x 3) x)) 2) (cbrt.f64 (fma.f64 -5/12 (pow.f64 x 3) x)) (.f64 x (.f64 x -1/2)))
(+.f64 (fma.f64 -1/2 (.f64 x x) x) (.f64 -5/12 (pow.f64 x 3)))
(fma.f64 -5/12 (pow.f64 x 3) (fma.f64 x (*.f64 x -1/2) x))
(fma.f64 (cbrt.f64 (.f64 1/4 (pow.f64 x 4))) (cbrt.f64 (.f64 x (*.f64 x -1/2))) (fma.f64 -5/12 (pow.f64 x 3) x))
(fma.f64 (cbrt.f64 (.f64 1/4 (pow.f64 x 4))) (cbrt.f64 (.f64 -1/2 (*.f64 x x))) (fma.f64 -5/12 (pow.f64 x 3) x))
(fma.f64 (cbrt.f64 (.f64 1/4 (pow.f64 x 4))) (cbrt.f64 (.f64 x (*.f64 x -1/2))) (neg.f64 (fma.f64 -5/12 (pow.f64 x 3) x)))
(fma.f64 (cbrt.f64 (.f64 1/4 (pow.f64 x 4))) (cbrt.f64 (.f64 -1/2 (*.f64 x x))) (neg.f64 (fma.f64 -5/12 (pow.f64 x 3) x)))
(fma.f64 (cbrt.f64 (.f64 1/4 (pow.f64 x 4))) (cbrt.f64 (.f64 x (.f64 x -1/2))) (-.f64 (.f64 (pow.f64 x 3) 5/12) x))

localize2.0ms (0%)

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

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 18 to 10 computations (44.4% saved)

series0.0ms (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	@	0	(fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x))
0.0ms	x	@	-inf	(fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x))

rewrite59.0ms (0.6%)

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))))))))

simplify53.0ms (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)

localize10.0ms (0.1%)

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

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (log1p.f64 x))
✓	0.2b	(*.f64 (/.f64 1 (log1p.f64 x)) (log1p.f64 (neg.f64 x)))

Compiler

Compiled 22 to 10 computations (54.5% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite55.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 42

Calls

Call 1

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

Outputs

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

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

simplify332.0ms (3.1%)

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)))
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(/.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)))
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(-.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 1/2 (fma.f64 x -1/12 (fma.f64 (*.f64 x x) 1/24 (/.f64 1 x))))
(/.f64 -1 (log.f64 (/.f64 1 x)))
(/.f64 -1 (neg.f64 (log.f64 x)))
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(-.f64 (/.f64 -1 (neg.f64 (log.f64 x))) (/.f64 1 (.f64 x (.f64 (log.f64 x) (log.f64 x)))))
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(/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(/.f64 1 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(/.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(-.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 1 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (/.f64 1 (*.f64 x (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 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 (/.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 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))

eval608.0ms (5.7%)

Compiler: Compiled 14486 to 10274 computations (29.1% saved)

prune62.0ms (0.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	424	4	428
Fresh	0	1	1
Picked	1	0	1
Done	3	2	5
Total	428	7	435

Error

Counts

435 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
▶	0.1b	(-.f64 (-.f64 (+.f64 (.f64 -5/12 (pow.f64 x 3)) (.f64 x (*.f64 x -1/2))) x) 1)
▶	0.2b	(-.f64 (-.f64 (.f64 x (.f64 x -1/2)) x) 1)
✓	0.5b	(-.f64 -1 x)
▶	0.2b	(+.f64 (-.f64 -1 x) (.f64 -1/2 (.f64 x x)))
▶	0.3b	(.f64 (+.f64 1/2 (+.f64 (.f64 -1/12 x) (/.f64 1 x))) (log1p.f64 (neg.f64 x)))
	1.6b	-1

Compiler

Compiled 63 to 47 computations (25.4% saved)

localize39.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1/2 (+.f64 (*.f64 -1/12 x) (/.f64 1 x)))
✓	0.0b	(+.f64 (*.f64 -1/12 x) (/.f64 1 x))
✓	0.2b	(.f64 (+.f64 1/2 (+.f64 (.f64 -1/12 x) (/.f64 1 x))) (log1p.f64 (neg.f64 x)))
✓	0.3b	(*.f64 -1/12 x)

Compiler

Compiled 45 to 30 computations (33.3% saved)

series4.0ms (0%)

Counts

4 → 21

Calls

12 calls:

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

rewrite114.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 281

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 -1/12 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 -1/12 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/12 (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 -1/12 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 -1/12 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 x) -1/12) (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) -1/12) (/.f64 1 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 0 (.f64 x x)) -1/12) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 0 (pow.f64 x 3)) -1/12) (+.f64 0 (+.f64 (.f64 x x) (.f64 0 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 -1/12 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 -1/12 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 -1/12 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 -1/1728 (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (.f64 x x) 1/144))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) -1/12))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 -1/12 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 -1/1728 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 -1/12 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 -1/12 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 -1/12 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 -1/12 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (log1p.f64 x) 1/2) (.f64 (log1p.f64 x) (fma.f64 -1/12 x (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (log1p.f64 x) (fma.f64 -1/12 x (/.f64 1 x))) (.f64 (log1p.f64 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (log1p.f64 x) (+.f64 (.f64 -1/12 x) 1/2)) (.f64 (log1p.f64 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (log1p.f64 x) (/.f64 1 x)) (.f64 (log1p.f64 x) (+.f64 (.f64 -1/12 x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/2 (log1p.f64 x)) (.f64 (fma.f64 -1/12 x (/.f64 1 x)) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (fma.f64 -1/12 x (/.f64 1 x)) (log1p.f64 x)) (.f64 1/2 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 (.f64 -1/12 x) 1/2) (log1p.f64 x)) (/.f64 (log1p.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (log1p.f64 x) x) (.f64 (+.f64 (.f64 -1/12 x) 1/2) 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simplify169.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	731	16194
1	2155	15800

Stop Event

1×	node limit

Counts

302 → 514

Calls

Call 1

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

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

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 24 to 13 computations (45.8% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite93.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

910×	`*-commutative`
846×	`associate-*r/`
766×	`associate-*l/`
756×	`distribute-lft-in`
744×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	204	21
2	2753	21

Stop Event

1×	node limit

Counts

1 → 99

Calls

Call 1

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

Outputs

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simplify90.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1506×	`associate-/r*`
1084×	`associate-*r/`
906×	`associate-*l/`
582×	`+-commutative`
574×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	295	7307
1	861	6411
2	3705	6397

Stop Event

1×	node limit

Counts

111 → 180

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))
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(/.f64 (/.f64 (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 (.f64 x (.f64 x -1/2)) 3)) (.f64 (cbrt.f64 (+.f64 (.f64 1/4 (pow.f64 x 4)) (.f64 (-.f64 -1 x) (+.f64 (-.f64 -1 x) (.f64 x (.f64 1/2 x)))))) (cbrt.f64 (+.f64 (.f64 1/4 (pow.f64 x 4)) (.f64 (-.f64 -1 x) (+.f64 (-.f64 -1 x) (.f64 x (.f64 1/2 x)))))))) (cbrt.f64 (+.f64 (.f64 1/4 (pow.f64 x 4)) (.f64 (-.f64 -1 x) (+.f64 (-.f64 -1 x) (.f64 x (*.f64 1/2 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 (log.f64 (.f64 x (+.f64 -1 (.f64 x -1/2)))))
(exp.f64 (log.f64 (fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x))))
(log1p.f64 (expm1.f64 (fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x))))
(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 x) (.f64 x (.f64 x -1/2)))
(fma.f64 1 (.f64 x (.f64 x -1/2)) (-.f64 -1 x))
(fma.f64 (.f64 x (sqrt.f64 -1/2)) (.f64 x (sqrt.f64 -1/2)) (-.f64 -1 x))
(fma.f64 (sqrt.f64 (-.f64 -1 x)) (sqrt.f64 (-.f64 -1 x)) (.f64 x (.f64 x -1/2)))
(fma.f64 (cbrt.f64 (.f64 1/4 (pow.f64 x 4))) (cbrt.f64 (.f64 x (*.f64 x -1/2))) (-.f64 -1 x))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) (cbrt.f64 (-.f64 -1 x)) (.f64 x (.f64 x -1/2)))
(fma.f64 (*.f64 x -1/2) 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)
(fma.f64 x (+.f64 -1 (*.f64 x -1/2)) -1)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)
(fma.f64 x (+.f64 -1 (*.f64 x -1/2)) -1)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(*.f64 -1/2 (pow.f64 x 2))
(.f64 x (.f64 x -1/2))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x))
(.f64 x (+.f64 -1 (.f64 x -1/2)))
(*.f64 x (fma.f64 x -1/2 -1))
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)
(fma.f64 x (+.f64 -1 (*.f64 x -1/2)) -1)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)
(fma.f64 x (+.f64 -1 (*.f64 x -1/2)) -1)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(*.f64 -1/2 (pow.f64 x 2))
(.f64 x (.f64 x -1/2))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x))
(.f64 x (+.f64 -1 (.f64 x -1/2)))
(*.f64 x (fma.f64 x -1/2 -1))
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)
(fma.f64 x (+.f64 -1 (*.f64 x -1/2)) -1)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)
(fma.f64 x (+.f64 -1 (*.f64 x -1/2)) -1)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(-.f64 -1 (-.f64 x (.f64 x (.f64 x -1/2))))
(fma.f64 x (+.f64 -1 (*.f64 x -1/2)) -1)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(-.f64 (-.f64 -1 x) (.f64 x (.f64 1/2 x)))
(fma.f64 x (+.f64 -1 (*.f64 x -1/2)) -1)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(-.f64 (fma.f64 -1/2 (.f64 x x) (-.f64 -1 x)) (fma.f64 (.f64 x (neg.f64 x)) -1/2 (.f64 x (.f64 x -1/2))))
(-.f64 (fma.f64 x (fma.f64 x -1/2 -1) -1) (.f64 (.f64 x x) 0))
(+.f64 (fma.f64 x (fma.f64 x -1/2 -1) -1) (.f64 (.f64 x x) 0))
(-.f64 (fma.f64 -1/2 (.f64 x x) (-.f64 -1 x)) (fma.f64 1/2 (.f64 x x) (.f64 x (.f64 x -1/2))))
(-.f64 (fma.f64 -1/2 (.f64 x x) (-.f64 -1 x)) (fma.f64 (.f64 x (neg.f64 x)) -1/2 (.f64 x (.f64 x -1/2))))
(-.f64 (fma.f64 x (fma.f64 x -1/2 -1) -1) (.f64 (.f64 x x) 0))
(+.f64 (fma.f64 x (fma.f64 x -1/2 -1) -1) (.f64 (.f64 x x) 0))
(-.f64 (fma.f64 -1/2 (.f64 x x) (-.f64 -1 x)) (fma.f64 (.f64 x (.f64 1/2 x)) 1 (.f64 x (*.f64 x -1/2))))
(-.f64 (fma.f64 -1/2 (.f64 x x) (-.f64 -1 x)) (fma.f64 (.f64 x (neg.f64 x)) -1/2 (.f64 x (.f64 x -1/2))))
(-.f64 (fma.f64 x (fma.f64 x -1/2 -1) -1) (.f64 (.f64 x x) 0))
(+.f64 (fma.f64 x (fma.f64 x -1/2 -1) -1) (.f64 (.f64 x x) 0))
(-.f64 (fma.f64 -1/2 (.f64 x x) (-.f64 -1 x)) (fma.f64 (neg.f64 (.f64 x (sqrt.f64 -1/2))) (.f64 x (sqrt.f64 -1/2)) (.f64 x (*.f64 x -1/2))))
(-.f64 (fma.f64 -1/2 (.f64 x x) (-.f64 -1 x)) (fma.f64 (.f64 x (neg.f64 (sqrt.f64 -1/2))) (.f64 x (sqrt.f64 -1/2)) (.f64 x (*.f64 x -1/2))))
(-.f64 (fma.f64 x (fma.f64 x -1/2 -1) -1) (fma.f64 (.f64 x (neg.f64 (sqrt.f64 -1/2))) (.f64 x (sqrt.f64 -1/2)) (.f64 x (.f64 x -1/2))))
(-.f64 (-.f64 -1 (+.f64 x (.f64 (.f64 x x) 0))) (.f64 (neg.f64 x) (.f64 (sqrt.f64 -1/2) (*.f64 x (sqrt.f64 -1/2)))))
(-.f64 (fma.f64 -1/2 (.f64 x x) (-.f64 -1 x)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x (.f64 x -1/2)))) (cbrt.f64 (.f64 1/4 (pow.f64 x 4))) (.f64 x (.f64 x -1/2))))
(-.f64 (fma.f64 x (fma.f64 x -1/2 -1) -1) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x (.f64 x -1/2)))) (cbrt.f64 (.f64 1/4 (pow.f64 x 4))) (.f64 x (*.f64 x -1/2))))
(-.f64 (-.f64 -1 (+.f64 x (.f64 (.f64 x x) 0))) (.f64 (neg.f64 (cbrt.f64 (.f64 x (.f64 x -1/2)))) (cbrt.f64 (.f64 1/4 (pow.f64 x 4)))))
(-.f64 (fma.f64 -1/2 (.f64 x x) (-.f64 -1 x)) (fma.f64 (neg.f64 x) (.f64 x -1/2) (.f64 x (.f64 x -1/2))))
(-.f64 (fma.f64 -1/2 (.f64 x x) (-.f64 -1 x)) (fma.f64 (.f64 x (neg.f64 x)) -1/2 (.f64 x (.f64 x -1/2))))
(-.f64 (fma.f64 x (fma.f64 x -1/2 -1) -1) (.f64 (.f64 x x) 0))
(+.f64 (fma.f64 x (fma.f64 x -1/2 -1) -1) (.f64 (.f64 x x) 0))
(-.f64 (neg.f64 x) (-.f64 1 (.f64 x (.f64 x -1/2))))
(fma.f64 x (+.f64 -1 (*.f64 x -1/2)) -1)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(-.f64 (exp.f64 (log.f64 (.f64 x (+.f64 -1 (.f64 x -1/2))))) 1)
(fma.f64 x (+.f64 -1 (*.f64 x -1/2)) -1)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x -1/2)))) (-.f64 1 (-.f64 -1 x)))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x -1/2)))) (+.f64 2 x))
(+.f64 -1 (-.f64 (expm1.f64 (log1p.f64 (.f64 x (.f64 x -1/2)))) x))
(-.f64 (+.f64 -1 (.f64 x (.f64 x -1/2))) x)
(fma.f64 x (+.f64 -1 (*.f64 x -1/2)) -1)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(-.f64 (.f64 x (+.f64 -1 (.f64 x -1/2))) 1)
(fma.f64 x (+.f64 -1 (*.f64 x -1/2)) -1)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(-.f64 (/.f64 1 (+.f64 -1 x)) (-.f64 (/.f64 x (/.f64 (+.f64 -1 x) x)) (.f64 x (.f64 x -1/2))))
(+.f64 (-.f64 (/.f64 1 (+.f64 -1 x)) (.f64 (/.f64 x (+.f64 -1 x)) x)) (.f64 x (*.f64 x -1/2)))
(-.f64 (/.f64 1 (+.f64 -1 x)) (.f64 x (-.f64 (/.f64 x (+.f64 -1 x)) (.f64 x -1/2))))
(-.f64 (/.f64 -1 (+.f64 1 (.f64 x (+.f64 -1 x)))) (-.f64 (/.f64 (pow.f64 x 3) (+.f64 1 (.f64 x (+.f64 -1 x)))) (.f64 x (.f64 x -1/2))))
(+.f64 (-.f64 (/.f64 -1 (+.f64 1 (.f64 x (+.f64 -1 x)))) (/.f64 (pow.f64 x 3) (+.f64 1 (.f64 x (+.f64 -1 x))))) (.f64 x (.f64 x -1/2)))
(-.f64 (fma.f64 x (*.f64 x -1/2) (/.f64 -1 (fma.f64 x (+.f64 -1 x) 1))) (/.f64 (pow.f64 x 3) (fma.f64 x (+.f64 -1 x) 1)))
(-.f64 (/.f64 (pow.f64 (-.f64 -1 x) 2) (+.f64 (-.f64 -1 x) (.f64 x (.f64 1/2 x)))) (/.f64 (.f64 1/4 (pow.f64 x 4)) (+.f64 (-.f64 -1 x) (.f64 x (*.f64 1/2 x)))))
(-.f64 (/.f64 (pow.f64 (-.f64 -1 x) 2) (+.f64 (-.f64 -1 x) (.f64 x (.f64 x 1/2)))) (/.f64 1/4 (/.f64 (+.f64 (-.f64 -1 x) (.f64 x (.f64 x 1/2))) (pow.f64 x 4))))
(+.f64 (/.f64 (pow.f64 (-.f64 -1 x) 2) (fma.f64 x (.f64 x 1/2) (-.f64 -1 x))) (/.f64 -1/4 (/.f64 (fma.f64 x (.f64 x 1/2) (-.f64 -1 x)) (pow.f64 x 4))))
(-.f64 (+.f64 (-.f64 -1 x) (exp.f64 (log1p.f64 (.f64 x (.f64 x -1/2))))) 1)
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x -1/2)))) (+.f64 2 x))
(+.f64 -1 (-.f64 (expm1.f64 (log1p.f64 (.f64 x (.f64 x -1/2)))) x))
(-.f64 (+.f64 (.f64 x (.f64 x -1/2)) (/.f64 1 (+.f64 -1 x))) (/.f64 x (/.f64 (+.f64 -1 x) x)))
(+.f64 (-.f64 (/.f64 1 (+.f64 -1 x)) (.f64 (/.f64 x (+.f64 -1 x)) x)) (.f64 x (*.f64 x -1/2)))
(-.f64 (/.f64 1 (+.f64 -1 x)) (.f64 x (-.f64 (/.f64 x (+.f64 -1 x)) (.f64 x -1/2))))
(-.f64 (+.f64 (.f64 x (.f64 x -1/2)) (/.f64 -1 (+.f64 1 (.f64 x (+.f64 -1 x))))) (/.f64 (pow.f64 x 3) (+.f64 1 (.f64 x (+.f64 -1 x)))))
(+.f64 (-.f64 (/.f64 -1 (+.f64 1 (.f64 x (+.f64 -1 x)))) (/.f64 (pow.f64 x 3) (+.f64 1 (.f64 x (+.f64 -1 x))))) (.f64 x (.f64 x -1/2)))
(-.f64 (fma.f64 x (*.f64 x -1/2) (/.f64 -1 (fma.f64 x (+.f64 -1 x) 1))) (/.f64 (pow.f64 x 3) (fma.f64 x (+.f64 -1 x) 1)))
(-.f64 (+.f64 (+.f64 -1 (.f64 x (.f64 x -1/2))) 0) x)
(fma.f64 x (+.f64 -1 (*.f64 x -1/2)) -1)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(.f64 (fma.f64 -1/2 (.f64 x x) (-.f64 -1 x)) 1)
(fma.f64 x (+.f64 -1 (*.f64 x -1/2)) -1)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(.f64 1 (fma.f64 -1/2 (.f64 x x) (-.f64 -1 x)))
(fma.f64 x (+.f64 -1 (*.f64 x -1/2)) -1)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(.f64 (sqrt.f64 (fma.f64 -1/2 (.f64 x x) (-.f64 -1 x))) (sqrt.f64 (fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x))))
(fma.f64 x (+.f64 -1 (*.f64 x -1/2)) -1)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 x x) (-.f64 -1 x))) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x))) 2))
(fma.f64 x (+.f64 -1 (*.f64 x -1/2)) -1)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 x x) (-.f64 -1 x))) 2) (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x))))
(fma.f64 x (+.f64 -1 (*.f64 x -1/2)) -1)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(.f64 (+.f64 (pow.f64 (-.f64 -1 x) 2) (.f64 -1/4 (pow.f64 x 4))) (/.f64 1 (+.f64 (-.f64 -1 x) (.f64 x (.f64 1/2 x)))))
(.f64 (+.f64 (pow.f64 (-.f64 -1 x) 2) (.f64 (pow.f64 x 4) -1/4)) (/.f64 1 (+.f64 (-.f64 -1 x) (.f64 x (.f64 x 1/2)))))
(/.f64 (fma.f64 (pow.f64 x 4) -1/4 (pow.f64 (-.f64 -1 x) 2)) (fma.f64 x (*.f64 x 1/2) (-.f64 -1 x)))
(.f64 (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 (.f64 x (.f64 x -1/2)) 3)) (/.f64 1 (+.f64 (.f64 1/4 (pow.f64 x 4)) (.f64 (-.f64 -1 x) (+.f64 (-.f64 -1 x) (.f64 x (*.f64 1/2 x)))))))
(/.f64 (.f64 (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 (.f64 x (.f64 x -1/2)) 3)) 1) (fma.f64 1/4 (pow.f64 x 4) (.f64 (-.f64 -1 x) (+.f64 (-.f64 -1 x) (.f64 x (.f64 x 1/2))))))
(/.f64 (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 (.f64 x (.f64 x -1/2)) 3)) (fma.f64 1/4 (pow.f64 x 4) (.f64 (-.f64 -1 x) (fma.f64 x (.f64 x 1/2) (-.f64 -1 x)))))
(/.f64 (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 (.f64 x (.f64 x -1/2)) 3)) (fma.f64 (-.f64 -1 x) (fma.f64 x (.f64 x 1/2) (-.f64 -1 x)) (.f64 1/4 (pow.f64 x 4))))
(.f64 (/.f64 1 (+.f64 (-.f64 -1 x) (.f64 x (.f64 1/2 x)))) (+.f64 (pow.f64 (-.f64 -1 x) 2) (.f64 -1/4 (pow.f64 x 4))))
(.f64 (+.f64 (pow.f64 (-.f64 -1 x) 2) (.f64 (pow.f64 x 4) -1/4)) (/.f64 1 (+.f64 (-.f64 -1 x) (.f64 x (.f64 x 1/2)))))
(/.f64 (fma.f64 (pow.f64 x 4) -1/4 (pow.f64 (-.f64 -1 x) 2)) (fma.f64 x (*.f64 x 1/2) (-.f64 -1 x)))
(.f64 (/.f64 1 (+.f64 (.f64 1/4 (pow.f64 x 4)) (.f64 (-.f64 -1 x) (+.f64 (-.f64 -1 x) (.f64 x (.f64 1/2 x)))))) (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 (.f64 x (*.f64 x -1/2)) 3)))
(/.f64 (.f64 (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 (.f64 x (.f64 x -1/2)) 3)) 1) (fma.f64 1/4 (pow.f64 x 4) (.f64 (-.f64 -1 x) (+.f64 (-.f64 -1 x) (.f64 x (.f64 x 1/2))))))
(/.f64 (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 (.f64 x (.f64 x -1/2)) 3)) (fma.f64 1/4 (pow.f64 x 4) (.f64 (-.f64 -1 x) (fma.f64 x (.f64 x 1/2) (-.f64 -1 x)))))
(/.f64 (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 (.f64 x (.f64 x -1/2)) 3)) (fma.f64 (-.f64 -1 x) (fma.f64 x (.f64 x 1/2) (-.f64 -1 x)) (.f64 1/4 (pow.f64 x 4))))
(.f64 (/.f64 (+.f64 (pow.f64 (-.f64 -1 x) 2) (.f64 -1/4 (pow.f64 x 4))) (+.f64 (pow.f64 (-.f64 -1 x) 2) (.f64 -1/4 (pow.f64 x 4)))) (fma.f64 -1/2 (.f64 x x) (-.f64 -1 x)))
(fma.f64 x (+.f64 -1 (*.f64 x -1/2)) -1)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(.f64 (/.f64 (+.f64 (pow.f64 (-.f64 -1 x) 2) (.f64 -1/4 (pow.f64 x 4))) (-.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 (.f64 x (.f64 x -1/2)) 3))) (+.f64 (pow.f64 (-.f64 -1 x) 2) (.f64 (.f64 x (.f64 x -1/2)) (fma.f64 -1/2 (.f64 x x) (-.f64 -1 x)))))
(.f64 (/.f64 (+.f64 (pow.f64 (-.f64 -1 x) 2) (.f64 (pow.f64 x 4) -1/4)) (-.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 (.f64 x (.f64 x -1/2)) 3))) (+.f64 (pow.f64 (-.f64 -1 x) 2) (.f64 x (.f64 (.f64 x -1/2) (fma.f64 -1/2 (.f64 x x) (-.f64 -1 x))))))
(/.f64 (fma.f64 (pow.f64 x 4) -1/4 (pow.f64 (-.f64 -1 x) 2)) (/.f64 (-.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 (.f64 x (.f64 x -1/2)) 3)) (fma.f64 (.f64 x (.f64 x -1/2)) (fma.f64 x (fma.f64 x -1/2 -1) -1) (pow.f64 (-.f64 -1 x) 2))))
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(/.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 (-.f64 -1 x) 2) 3) (.f64 1/64 (pow.f64 (pow.f64 x 4) 3))) (+.f64 (-.f64 -1 x) (.f64 x (.f64 x 1/2)))) (+.f64 (pow.f64 (-.f64 -1 x) 4) (.f64 1/4 (*.f64 (pow.f64 x 4) (fma.f64 1/4 (pow.f64 x 4) (pow.f64 (-.f64 -1 x) 2))))))
(/.f64 (-.f64 (pow.f64 (-.f64 -1 x) 6) (pow.f64 (.f64 x (.f64 x -1/2)) 6)) (.f64 (fma.f64 x (.f64 x 1/2) (-.f64 -1 x)) (fma.f64 (*.f64 1/4 (pow.f64 x 4)) (fma.f64 1/4 (pow.f64 x 4) (pow.f64 (-.f64 -1 x) 2)) (pow.f64 (-.f64 -1 x) 4))))
(/.f64 (+.f64 (pow.f64 (-.f64 -1 x) 6) (.f64 -1/64 (pow.f64 (pow.f64 x 4) 3))) (.f64 (fma.f64 x (.f64 x 1/2) (-.f64 -1 x)) (fma.f64 1/4 (.f64 (pow.f64 x 4) (fma.f64 1/4 (pow.f64 x 4) (pow.f64 (-.f64 -1 x) 2))) (pow.f64 (-.f64 -1 x) 4))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 (-.f64 -1 x) 3)) (.f64 (pow.f64 (.f64 x (.f64 x -1/2)) 3) (pow.f64 (.f64 x (.f64 x -1/2)) 3))) (/.f64 1 (+.f64 (.f64 1/4 (pow.f64 x 4)) (.f64 (-.f64 -1 x) (+.f64 (-.f64 -1 x) (.f64 x (.f64 1/2 x))))))) (-.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 (.f64 x (*.f64 x -1/2)) 3)))
(/.f64 (-.f64 (pow.f64 (-.f64 -1 x) 6) (pow.f64 (.f64 x (.f64 x -1/2)) 6)) (.f64 (fma.f64 1/4 (pow.f64 x 4) (.f64 (-.f64 -1 x) (+.f64 (-.f64 -1 x) (.f64 x (.f64 x 1/2))))) (-.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 (.f64 x (.f64 x -1/2)) 3))))
(/.f64 (-.f64 (pow.f64 (-.f64 -1 x) 6) (pow.f64 (.f64 x (.f64 x -1/2)) 6)) (.f64 (fma.f64 1/4 (pow.f64 x 4) (.f64 (-.f64 -1 x) (fma.f64 x (.f64 x 1/2) (-.f64 -1 x)))) (-.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 (.f64 x (*.f64 x -1/2)) 3))))
(/.f64 (+.f64 (pow.f64 (-.f64 -1 x) 6) (.f64 -1/64 (pow.f64 (pow.f64 x 4) 3))) (.f64 (fma.f64 (-.f64 -1 x) (fma.f64 x (.f64 x 1/2) (-.f64 -1 x)) (.f64 1/4 (pow.f64 x 4))) (-.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 (.f64 x (.f64 x -1/2)) 3))))
(/.f64 (.f64 (+.f64 (pow.f64 (pow.f64 (-.f64 -1 x) 3) 3) (pow.f64 (pow.f64 (.f64 x (.f64 x -1/2)) 3) 3)) (/.f64 1 (+.f64 (.f64 1/4 (pow.f64 x 4)) (.f64 (-.f64 -1 x) (+.f64 (-.f64 -1 x) (.f64 x (.f64 1/2 x))))))) (+.f64 (.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 (-.f64 -1 x) 3)) (.f64 (pow.f64 (.f64 x (.f64 x -1/2)) 3) (-.f64 (pow.f64 (.f64 x (*.f64 x -1/2)) 3) (pow.f64 (-.f64 -1 x) 3)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (-.f64 -1 x) 3) 3) (pow.f64 (pow.f64 (.f64 x (.f64 x -1/2)) 3) 3)) (fma.f64 1/4 (pow.f64 x 4) (.f64 (-.f64 -1 x) (+.f64 (-.f64 -1 x) (.f64 x (.f64 x 1/2)))))) (+.f64 (pow.f64 (-.f64 -1 x) 6) (.f64 (pow.f64 (.f64 x (.f64 x -1/2)) 3) (-.f64 (pow.f64 (.f64 x (.f64 x -1/2)) 3) (pow.f64 (-.f64 -1 x) 3)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (-.f64 -1 x) 3) 3) (pow.f64 (pow.f64 (.f64 x (.f64 x -1/2)) 3) 3)) (.f64 (fma.f64 1/4 (pow.f64 x 4) (.f64 (-.f64 -1 x) (fma.f64 x (.f64 x 1/2) (-.f64 -1 x)))) (fma.f64 (pow.f64 (.f64 x (.f64 x -1/2)) 3) (-.f64 (pow.f64 (.f64 x (*.f64 x -1/2)) 3) (pow.f64 (-.f64 -1 x) 3)) (pow.f64 (-.f64 -1 x) 6))))
(/.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (-.f64 -1 x) 3) 3) (pow.f64 (pow.f64 (.f64 x (.f64 x -1/2)) 3) 3)) (fma.f64 (-.f64 -1 x) (fma.f64 x (.f64 x 1/2) (-.f64 -1 x)) (.f64 1/4 (pow.f64 x 4)))) (fma.f64 (pow.f64 (.f64 x (.f64 x -1/2)) 3) (-.f64 (pow.f64 (.f64 x (.f64 x -1/2)) 3) (pow.f64 (-.f64 -1 x) 3)) (pow.f64 (-.f64 -1 x) 6)))
(/.f64 (/.f64 (+.f64 (pow.f64 (-.f64 -1 x) 2) (.f64 -1/4 (pow.f64 x 4))) 1) (+.f64 (-.f64 -1 x) (.f64 x (*.f64 1/2 x))))
(.f64 (+.f64 (pow.f64 (-.f64 -1 x) 2) (.f64 (pow.f64 x 4) -1/4)) (/.f64 1 (+.f64 (-.f64 -1 x) (.f64 x (.f64 x 1/2)))))
(/.f64 (fma.f64 (pow.f64 x 4) -1/4 (pow.f64 (-.f64 -1 x) 2)) (fma.f64 x (*.f64 x 1/2) (-.f64 -1 x)))
(/.f64 (/.f64 (+.f64 (pow.f64 (-.f64 -1 x) 2) (.f64 -1/4 (pow.f64 x 4))) (sqrt.f64 (+.f64 (-.f64 -1 x) (.f64 x (.f64 1/2 x))))) (sqrt.f64 (+.f64 (-.f64 -1 x) (.f64 x (*.f64 1/2 x)))))
(.f64 (+.f64 (pow.f64 (-.f64 -1 x) 2) (.f64 (pow.f64 x 4) -1/4)) (/.f64 1 (+.f64 (-.f64 -1 x) (.f64 x (.f64 x 1/2)))))
(/.f64 (fma.f64 (pow.f64 x 4) -1/4 (pow.f64 (-.f64 -1 x) 2)) (fma.f64 x (*.f64 x 1/2) (-.f64 -1 x)))
(/.f64 (/.f64 (+.f64 (pow.f64 (-.f64 -1 x) 2) (.f64 -1/4 (pow.f64 x 4))) (.f64 (cbrt.f64 (+.f64 (-.f64 -1 x) (.f64 x (.f64 1/2 x)))) (cbrt.f64 (+.f64 (-.f64 -1 x) (.f64 x (.f64 1/2 x)))))) (cbrt.f64 (+.f64 (-.f64 -1 x) (.f64 x (.f64 1/2 x)))))
(.f64 (+.f64 (pow.f64 (-.f64 -1 x) 2) (.f64 (pow.f64 x 4) -1/4)) (/.f64 1 (+.f64 (-.f64 -1 x) (.f64 x (.f64 x 1/2)))))
(/.f64 (fma.f64 (pow.f64 x 4) -1/4 (pow.f64 (-.f64 -1 x) 2)) (fma.f64 x (*.f64 x 1/2) (-.f64 -1 x)))
(/.f64 (/.f64 (+.f64 (pow.f64 (-.f64 -1 x) 2) (.f64 -1/4 (pow.f64 x 4))) (+.f64 (.f64 x (sqrt.f64 -1/2)) (sqrt.f64 (-.f64 -1 x)))) (-.f64 (sqrt.f64 (-.f64 -1 x)) (*.f64 x (sqrt.f64 -1/2))))
(/.f64 (+.f64 (pow.f64 (-.f64 -1 x) 2) (.f64 (pow.f64 x 4) -1/4)) (.f64 (-.f64 (sqrt.f64 (-.f64 -1 x)) (*.f64 x (sqrt.f64 -1/2))) (fma.f64 x (sqrt.f64 -1/2) (sqrt.f64 (-.f64 -1 x)))))
(/.f64 (/.f64 (fma.f64 (pow.f64 x 4) -1/4 (pow.f64 (-.f64 -1 x) 2)) (fma.f64 x (sqrt.f64 -1/2) (sqrt.f64 (-.f64 -1 x)))) (-.f64 (sqrt.f64 (-.f64 -1 x)) (*.f64 x (sqrt.f64 -1/2))))
(/.f64 (fma.f64 (pow.f64 x 4) -1/4 (pow.f64 (-.f64 -1 x) 2)) (.f64 (fma.f64 x (sqrt.f64 -1/2) (sqrt.f64 (-.f64 -1 x))) (-.f64 (sqrt.f64 (-.f64 -1 x)) (.f64 x (sqrt.f64 -1/2)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 (.f64 x (.f64 x -1/2)) 3)) 1) (+.f64 (.f64 1/4 (pow.f64 x 4)) (.f64 (-.f64 -1 x) (+.f64 (-.f64 -1 x) (.f64 x (.f64 1/2 x))))))
(/.f64 (.f64 (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 (.f64 x (.f64 x -1/2)) 3)) 1) (fma.f64 1/4 (pow.f64 x 4) (.f64 (-.f64 -1 x) (+.f64 (-.f64 -1 x) (.f64 x (.f64 x 1/2))))))
(/.f64 (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 (.f64 x (.f64 x -1/2)) 3)) (fma.f64 1/4 (pow.f64 x 4) (.f64 (-.f64 -1 x) (fma.f64 x (.f64 x 1/2) (-.f64 -1 x)))))
(/.f64 (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 (.f64 x (.f64 x -1/2)) 3)) (fma.f64 (-.f64 -1 x) (fma.f64 x (.f64 x 1/2) (-.f64 -1 x)) (.f64 1/4 (pow.f64 x 4))))
(/.f64 (/.f64 (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 (.f64 x (.f64 x -1/2)) 3)) (sqrt.f64 (+.f64 (.f64 1/4 (pow.f64 x 4)) (.f64 (-.f64 -1 x) (+.f64 (-.f64 -1 x) (.f64 x (.f64 1/2 x))))))) (sqrt.f64 (+.f64 (.f64 1/4 (pow.f64 x 4)) (.f64 (-.f64 -1 x) (+.f64 (-.f64 -1 x) (.f64 x (.f64 1/2 x)))))))
(/.f64 (.f64 (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 (.f64 x (.f64 x -1/2)) 3)) 1) (fma.f64 1/4 (pow.f64 x 4) (.f64 (-.f64 -1 x) (+.f64 (-.f64 -1 x) (.f64 x (.f64 x 1/2))))))
(/.f64 (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 (.f64 x (.f64 x -1/2)) 3)) (fma.f64 1/4 (pow.f64 x 4) (.f64 (-.f64 -1 x) (fma.f64 x (.f64 x 1/2) (-.f64 -1 x)))))
(/.f64 (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 (.f64 x (.f64 x -1/2)) 3)) (fma.f64 (-.f64 -1 x) (fma.f64 x (.f64 x 1/2) (-.f64 -1 x)) (.f64 1/4 (pow.f64 x 4))))
(/.f64 (/.f64 (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 (.f64 x (.f64 x -1/2)) 3)) (.f64 (cbrt.f64 (+.f64 (.f64 1/4 (pow.f64 x 4)) (.f64 (-.f64 -1 x) (+.f64 (-.f64 -1 x) (.f64 x (.f64 1/2 x)))))) (cbrt.f64 (+.f64 (.f64 1/4 (pow.f64 x 4)) (.f64 (-.f64 -1 x) (+.f64 (-.f64 -1 x) (.f64 x (.f64 1/2 x)))))))) (cbrt.f64 (+.f64 (.f64 1/4 (pow.f64 x 4)) (.f64 (-.f64 -1 x) (+.f64 (-.f64 -1 x) (.f64 x (*.f64 1/2 x)))))))
(/.f64 (.f64 (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 (.f64 x (.f64 x -1/2)) 3)) 1) (fma.f64 1/4 (pow.f64 x 4) (.f64 (-.f64 -1 x) (+.f64 (-.f64 -1 x) (.f64 x (.f64 x 1/2))))))
(/.f64 (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 (.f64 x (.f64 x -1/2)) 3)) (fma.f64 1/4 (pow.f64 x 4) (.f64 (-.f64 -1 x) (fma.f64 x (.f64 x 1/2) (-.f64 -1 x)))))
(/.f64 (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 (.f64 x (.f64 x -1/2)) 3)) (fma.f64 (-.f64 -1 x) (fma.f64 x (.f64 x 1/2) (-.f64 -1 x)) (.f64 1/4 (pow.f64 x 4))))
(pow.f64 (fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x)) 1)
(fma.f64 x (+.f64 -1 (*.f64 x -1/2)) -1)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(pow.f64 (sqrt.f64 (fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x))) 2)
(fma.f64 x (+.f64 -1 (*.f64 x -1/2)) -1)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x))) 3)
(fma.f64 x (+.f64 -1 (*.f64 x -1/2)) -1)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(pow.f64 (pow.f64 (fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x)) 3) 1/3)
(fma.f64 x (+.f64 -1 (*.f64 x -1/2)) -1)
(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))
(fabs.f64 (fma.f64 x (fma.f64 x -1/2 -1) -1))
(log.f64 (exp.f64 (fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x))))
(fma.f64 x (+.f64 -1 (*.f64 x -1/2)) -1)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x)))))
(fma.f64 x (+.f64 -1 (*.f64 x -1/2)) -1)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(cbrt.f64 (pow.f64 (fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x)) 3))
(fma.f64 x (+.f64 -1 (*.f64 x -1/2)) -1)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(expm1.f64 (log.f64 (.f64 x (+.f64 -1 (.f64 x -1/2)))))
(fma.f64 x (+.f64 -1 (*.f64 x -1/2)) -1)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(exp.f64 (log.f64 (fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x))))
(fma.f64 x (+.f64 -1 (*.f64 x -1/2)) -1)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(log1p.f64 (expm1.f64 (fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x))))
(fma.f64 x (+.f64 -1 (*.f64 x -1/2)) -1)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x))
(fma.f64 x (+.f64 -1 (*.f64 x -1/2)) -1)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(fma.f64 (*.f64 x x) -1/2 (-.f64 -1 x))
(fma.f64 x (+.f64 -1 (*.f64 x -1/2)) -1)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(fma.f64 1 (-.f64 -1 x) (.f64 x (.f64 x -1/2)))
(fma.f64 x (+.f64 -1 (*.f64 x -1/2)) -1)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(fma.f64 1 (.f64 x (.f64 x -1/2)) (-.f64 -1 x))
(fma.f64 x (+.f64 -1 (*.f64 x -1/2)) -1)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(fma.f64 (.f64 x (sqrt.f64 -1/2)) (.f64 x (sqrt.f64 -1/2)) (-.f64 -1 x))
(fma.f64 (sqrt.f64 (-.f64 -1 x)) (sqrt.f64 (-.f64 -1 x)) (.f64 x (.f64 x -1/2)))
(fma.f64 x (+.f64 -1 (*.f64 x -1/2)) -1)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(fma.f64 (cbrt.f64 (.f64 1/4 (pow.f64 x 4))) (cbrt.f64 (.f64 x (*.f64 x -1/2))) (-.f64 -1 x))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) (cbrt.f64 (-.f64 -1 x)) (.f64 x (.f64 x -1/2)))
(fma.f64 x (+.f64 -1 (*.f64 x -1/2)) -1)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(fma.f64 (*.f64 x -1/2) x (-.f64 -1 x))
(fma.f64 x (+.f64 -1 (*.f64 x -1/2)) -1)
(fma.f64 x (fma.f64 x -1/2 -1) -1)

localize44.0ms (0.4%)

Compiler: Compiled 28 to 18 computations (35.7% saved)

localize26.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 61 to 44 computations (27.9% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite83.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1000×	`*-commutative`
822×	`unswap-sqr`
640×	`swap-sqr`
460×	`distribute-lft-in`
454×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	27
1	243	27
2	2929	25

Stop Event

1×	node limit

Counts

1 → 91

Calls

Call 1

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

Outputs

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simplify96.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

948×	`associate-/l/`
814×	`associate-/r/`
670×	`associate-r`
662×	`distribute-lft-neg-in`
610×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	282	6981
1	920	5869
2	4617	5791

Stop Event

1×	node limit

Counts

103 → 164

Calls

Call 1

Inputs
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -5/12 (pow.f64 x 3)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -5/12 (pow.f64 x 3)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -5/12 (pow.f64 x 3)))
(*.f64 -5/12 (pow.f64 x 3))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -5/12 (pow.f64 x 3)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -5/12 (pow.f64 x 3)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -5/12 (pow.f64 x 3)))
(*.f64 -5/12 (pow.f64 x 3))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -5/12 (pow.f64 x 3)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -5/12 (pow.f64 x 3)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -5/12 (pow.f64 x 3)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 x x) (+.f64 (*.f64 -5/12 x) -1/2)))) 1)
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x -1/2)))) (-.f64 1 (*.f64 -5/12 (pow.f64 x 3))))
(-.f64 (exp.f64 (log1p.f64 (.f64 -5/12 (pow.f64 x 3)))) (-.f64 1 (.f64 x (*.f64 x -1/2))))
(-.f64 (/.f64 (.f64 (pow.f64 x 6) 25/144) (.f64 (.f64 x x) (-.f64 (.f64 -5/12 x) -1/2))) (/.f64 (.f64 1/4 (.f64 x (pow.f64 x 3))) (.f64 (.f64 x x) (-.f64 (*.f64 -5/12 x) -1/2))))
(-.f64 (+.f64 (.f64 -5/12 (pow.f64 x 3)) (exp.f64 (log1p.f64 (.f64 x (*.f64 x -1/2))))) 1)
(-.f64 (+.f64 (.f64 x (.f64 x -1/2)) (exp.f64 (log1p.f64 (*.f64 -5/12 (pow.f64 x 3))))) 1)
(.f64 x (+.f64 (.f64 -5/12 (.f64 x x)) (.f64 x -1/2)))
(.f64 x (+.f64 (.f64 x -1/2) (.f64 -5/12 (.f64 x x))))
(.f64 (.f64 (.f64 x x) (+.f64 (.f64 -5/12 x) -1/2)) 1)
(.f64 1 (.f64 (.f64 x x) (+.f64 (.f64 -5/12 x) -1/2)))
(.f64 (sqrt.f64 (.f64 (.f64 x x) (+.f64 (.f64 -5/12 x) -1/2))) (sqrt.f64 (.f64 (.f64 x x) (+.f64 (*.f64 -5/12 x) -1/2))))
(.f64 (cbrt.f64 (.f64 (.f64 x x) (+.f64 (.f64 -5/12 x) -1/2))) (pow.f64 (cbrt.f64 (.f64 (.f64 x x) (+.f64 (*.f64 -5/12 x) -1/2))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 x x) (+.f64 (.f64 -5/12 x) -1/2))) 2) (cbrt.f64 (.f64 (.f64 x x) (+.f64 (*.f64 -5/12 x) -1/2))))
(.f64 (.f64 x x) (+.f64 (*.f64 -5/12 x) -1/2))
(.f64 (.f64 x x) (+.f64 -1/2 (*.f64 -5/12 x)))
(.f64 (-.f64 (.f64 (pow.f64 x 6) 25/144) (.f64 1/4 (.f64 x (pow.f64 x 3)))) (/.f64 1 (.f64 (.f64 x x) (-.f64 (*.f64 -5/12 x) -1/2))))
(.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x 3) 3) -125/1728) (.f64 -1/8 (pow.f64 x 6))) (/.f64 1 (+.f64 (.f64 (pow.f64 x 6) 25/144) (.f64 (.f64 x (.f64 x -1/2)) (.f64 (.f64 x x) (-.f64 -1/2 (.f64 -5/12 x)))))))
(.f64 (/.f64 1 (.f64 (.f64 x x) (-.f64 (.f64 -5/12 x) -1/2))) (-.f64 (.f64 (pow.f64 x 6) 25/144) (.f64 1/4 (*.f64 x (pow.f64 x 3)))))
(.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 x 6) 25/144) (.f64 (.f64 x (.f64 x -1/2)) (.f64 (.f64 x x) (-.f64 -1/2 (.f64 -5/12 x)))))) (+.f64 (.f64 (pow.f64 (pow.f64 x 3) 3) -125/1728) (.f64 -1/8 (pow.f64 x 6))))
(.f64 (/.f64 (-.f64 (.f64 (pow.f64 x 6) 25/144) (.f64 1/4 (.f64 x (pow.f64 x 3)))) (-.f64 (.f64 (pow.f64 x 6) 25/144) (.f64 1/4 (.f64 x (pow.f64 x 3))))) (.f64 (.f64 x x) (+.f64 (.f64 -5/12 x) -1/2)))
(.f64 (/.f64 (-.f64 (.f64 (pow.f64 x 6) 25/144) (.f64 1/4 (.f64 x (pow.f64 x 3)))) (-.f64 (.f64 (pow.f64 (pow.f64 x 3) 3) -125/1728) (.f64 -1/8 (pow.f64 x 6)))) (+.f64 (.f64 (pow.f64 x 6) 25/144) (.f64 (.f64 x (.f64 x -1/2)) (.f64 (.f64 x x) (+.f64 (*.f64 -5/12 x) -1/2)))))
(.f64 (/.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x 3) 3) -125/1728) (.f64 -1/8 (pow.f64 x 6))) (-.f64 (.f64 625/20736 (.f64 (pow.f64 x 6) (pow.f64 x 6))) (.f64 (.f64 1/4 (.f64 x (pow.f64 x 3))) (.f64 (.f64 (.f64 x x) (-.f64 -1/2 (.f64 -5/12 x))) (.f64 (.f64 x x) (-.f64 -1/2 (.f64 -5/12 x))))))) (+.f64 (.f64 (pow.f64 x 6) 25/144) (.f64 (.f64 x (.f64 x 1/2)) (.f64 (.f64 x x) (-.f64 -1/2 (.f64 -5/12 x))))))
(.f64 (/.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x 3) 3) -125/1728) (.f64 -1/8 (pow.f64 x 6))) (+.f64 (pow.f64 (.f64 (pow.f64 x 6) 25/144) 3) (pow.f64 (.f64 (.f64 x (.f64 x -1/2)) (.f64 (.f64 x x) (-.f64 -1/2 (.f64 -5/12 x)))) 3))) (+.f64 (.f64 625/20736 (.f64 (pow.f64 x 6) (pow.f64 x 6))) (.f64 (.f64 (.f64 x (.f64 x -1/2)) (.f64 (.f64 x x) (-.f64 -1/2 (.f64 -5/12 x)))) (-.f64 (.f64 (.f64 x (.f64 x -1/2)) (.f64 (.f64 x x) (-.f64 -1/2 (.f64 -5/12 x)))) (.f64 (pow.f64 x 6) 25/144)))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (.f64 (.f64 x x) (+.f64 (.f64 -5/12 x) -1/2)))) (cbrt.f64 (.f64 (.f64 x x) (+.f64 (.f64 -5/12 x) -1/2)))) (.f64 (sqrt.f64 (cbrt.f64 (.f64 (.f64 x x) (+.f64 (.f64 -5/12 x) -1/2)))) (cbrt.f64 (.f64 (.f64 x x) (+.f64 (*.f64 -5/12 x) -1/2)))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 (.f64 x x) (+.f64 (.f64 -5/12 x) -1/2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 x x) (+.f64 (.f64 -5/12 x) -1/2))) 2))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 (.f64 x x) (+.f64 (.f64 -5/12 x) -1/2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 x x) (+.f64 (*.f64 -5/12 x) -1/2))) 2))))
(.f64 (.f64 (cbrt.f64 (.f64 (.f64 x x) (+.f64 (.f64 -5/12 x) -1/2))) (sqrt.f64 (cbrt.f64 (.f64 (.f64 x x) (+.f64 (.f64 -5/12 x) -1/2))))) (.f64 (cbrt.f64 (.f64 (.f64 x x) (+.f64 (.f64 -5/12 x) -1/2))) (sqrt.f64 (cbrt.f64 (.f64 (.f64 x x) (+.f64 (*.f64 -5/12 x) -1/2))))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 x x) (+.f64 (.f64 -5/12 x) -1/2))) 2)) (cbrt.f64 (sqrt.f64 (.f64 (.f64 x x) (+.f64 (.f64 -5/12 x) -1/2))))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 x x) (+.f64 (.f64 -5/12 x) -1/2))) 2)) (cbrt.f64 (sqrt.f64 (.f64 (.f64 x x) (+.f64 (*.f64 -5/12 x) -1/2))))))
(.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 x x) (+.f64 (.f64 -5/12 x) -1/2))) 3/2) (pow.f64 (cbrt.f64 (.f64 (.f64 x x) (+.f64 (*.f64 -5/12 x) -1/2))) 3/2))
(.f64 (pow.f64 (pow.f64 (.f64 (.f64 x x) (+.f64 (.f64 -5/12 x) -1/2)) 3) 1/6) (pow.f64 (pow.f64 (.f64 (.f64 x x) (+.f64 (*.f64 -5/12 x) -1/2)) 3) 1/6))
(/.f64 (.f64 (.f64 x x) (+.f64 (.f64 -5/12 x) -1/2)) (/.f64 (.f64 (.f64 x x) (-.f64 (.f64 -5/12 x) -1/2)) (.f64 (.f64 x x) (-.f64 (*.f64 -5/12 x) -1/2))))
(/.f64 1 (/.f64 1 (.f64 (.f64 x x) (+.f64 (*.f64 -5/12 x) -1/2))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 25/144) (.f64 1/4 (.f64 x (pow.f64 x 3)))) (.f64 (.f64 x x) (-.f64 (.f64 -5/12 x) -1/2)))
(/.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x 3) 3) -125/1728) (.f64 -1/8 (pow.f64 x 6))) (+.f64 (.f64 (pow.f64 x 6) 25/144) (.f64 (.f64 x (.f64 x -1/2)) (.f64 (.f64 x x) (-.f64 -1/2 (*.f64 -5/12 x))))))
(/.f64 (+.f64 (.f64 (pow.f64 x 6) 25/144) (.f64 (.f64 x (.f64 x -1/2)) (.f64 (.f64 x x) (-.f64 -1/2 (.f64 -5/12 x))))) (/.f64 (+.f64 (.f64 (pow.f64 x 6) 25/144) (.f64 (.f64 x (.f64 x -1/2)) (.f64 (.f64 x x) (-.f64 -1/2 (.f64 -5/12 x))))) (.f64 (.f64 x x) (+.f64 (*.f64 -5/12 x) -1/2))))
(/.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x 3) 3) -125/1728) (.f64 -1/8 (pow.f64 x 6)))) (/.f64 (+.f64 (.f64 (pow.f64 x 6) 25/144) (.f64 (.f64 x (.f64 x -1/2)) (.f64 (.f64 x x) (-.f64 -1/2 (.f64 -5/12 x))))) (sqrt.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x 3) 3) -125/1728) (*.f64 -1/8 (pow.f64 x 6))))))
(/.f64 (sqrt.f64 (-.f64 (.f64 (pow.f64 x 6) 25/144) (.f64 1/4 (.f64 x (pow.f64 x 3))))) (/.f64 (.f64 (.f64 x x) (-.f64 (.f64 -5/12 x) -1/2)) (sqrt.f64 (-.f64 (.f64 (pow.f64 x 6) 25/144) (.f64 1/4 (*.f64 x (pow.f64 x 3)))))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x 3) 3) -125/1728) (.f64 -1/8 (pow.f64 x 6)))) (cbrt.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x 3) 3) -125/1728) (.f64 -1/8 (pow.f64 x 6))))) (/.f64 (+.f64 (.f64 (pow.f64 x 6) 25/144) (.f64 (.f64 x (.f64 x -1/2)) (.f64 (.f64 x x) (-.f64 -1/2 (.f64 -5/12 x))))) (cbrt.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x 3) 3) -125/1728) (.f64 -1/8 (pow.f64 x 6))))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (.f64 (pow.f64 x 6) 25/144) (.f64 1/4 (.f64 x (pow.f64 x 3))))) (cbrt.f64 (-.f64 (.f64 (pow.f64 x 6) 25/144) (.f64 1/4 (.f64 x (pow.f64 x 3)))))) (/.f64 (.f64 (.f64 x x) (-.f64 (.f64 -5/12 x) -1/2)) (cbrt.f64 (-.f64 (.f64 (pow.f64 x 6) 25/144) (.f64 1/4 (*.f64 x (pow.f64 x 3)))))))
(/.f64 (+.f64 (.f64 1/4 (.f64 x (pow.f64 x 3))) (.f64 -25/144 (pow.f64 x 6))) (.f64 (.f64 x x) (-.f64 -1/2 (.f64 -5/12 x))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 x 6) (.f64 (pow.f64 x 6) (pow.f64 x 6))) 15625/2985984) (.f64 (.f64 (pow.f64 x 6) (pow.f64 x 6)) 1/64)) (.f64 (+.f64 (.f64 (pow.f64 x 6) 25/144) (.f64 (.f64 x (.f64 x -1/2)) (.f64 (.f64 x x) (-.f64 -1/2 (.f64 -5/12 x))))) (-.f64 (.f64 (pow.f64 (pow.f64 x 3) 3) -125/1728) (*.f64 -1/8 (pow.f64 x 6)))))
(/.f64 (-.f64 (.f64 625/20736 (.f64 (pow.f64 x 6) (pow.f64 x 6))) (.f64 (.f64 (pow.f64 x 6) (.f64 x x)) 1/16)) (.f64 (.f64 (.f64 x x) (-.f64 (.f64 -5/12 x) -1/2)) (+.f64 (.f64 1/4 (.f64 x (pow.f64 x 3))) (.f64 (pow.f64 x 6) 25/144))))
(/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 (pow.f64 x 3) 3) -125/1728) 3) (pow.f64 (.f64 -1/8 (pow.f64 x 6)) 3)) (.f64 (+.f64 (.f64 (pow.f64 x 6) 25/144) (.f64 (.f64 x (.f64 x -1/2)) (.f64 (.f64 x x) (-.f64 -1/2 (.f64 -5/12 x))))) (+.f64 (.f64 (.f64 (pow.f64 x 6) (.f64 (pow.f64 x 6) (pow.f64 x 6))) 15625/2985984) (.f64 (.f64 -1/8 (pow.f64 x 6)) (-.f64 (.f64 -1/8 (pow.f64 x 6)) (*.f64 (pow.f64 (pow.f64 x 3) 3) -125/1728))))))
(/.f64 (-.f64 (pow.f64 (.f64 (pow.f64 x 6) 25/144) 3) (pow.f64 (.f64 1/4 (.f64 x (pow.f64 x 3))) 3)) (.f64 (.f64 (.f64 x x) (-.f64 (.f64 -5/12 x) -1/2)) (+.f64 (.f64 625/20736 (.f64 (pow.f64 x 6) (pow.f64 x 6))) (.f64 (.f64 1/4 (.f64 x (pow.f64 x 3))) (+.f64 (.f64 1/4 (.f64 x (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 25/144))))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x 6) 25/144) (.f64 1/4 (.f64 x (pow.f64 x 3))))) (neg.f64 (.f64 (.f64 x x) (-.f64 (.f64 -5/12 x) -1/2))))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x 3) 3) -125/1728) (.f64 -1/8 (pow.f64 x 6)))) (neg.f64 (+.f64 (.f64 (pow.f64 x 6) 25/144) (.f64 (.f64 x (.f64 x -1/2)) (.f64 (.f64 x x) (-.f64 -1/2 (*.f64 -5/12 x)))))))
(/.f64 (.f64 (sqrt.f64 (.f64 (.f64 x x) (+.f64 (.f64 -5/12 x) -1/2))) (sqrt.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x 3) 3) -125/1728) (.f64 -1/8 (pow.f64 x 6))))) (sqrt.f64 (+.f64 (.f64 (pow.f64 x 6) 25/144) (.f64 (.f64 x (.f64 x -1/2)) (.f64 (.f64 x x) (-.f64 -1/2 (*.f64 -5/12 x)))))))
(/.f64 (.f64 (sqrt.f64 (.f64 (.f64 x x) (+.f64 (.f64 -5/12 x) -1/2))) (sqrt.f64 (-.f64 (.f64 (pow.f64 x 6) 25/144) (.f64 1/4 (.f64 x (pow.f64 x 3)))))) (sqrt.f64 (.f64 (.f64 x x) (-.f64 (.f64 -5/12 x) -1/2))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 x x) (+.f64 (.f64 -5/12 x) -1/2))) 2) (cbrt.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x 3) 3) -125/1728) (.f64 -1/8 (pow.f64 x 6))))) (cbrt.f64 (+.f64 (.f64 (pow.f64 x 6) 25/144) (.f64 (.f64 x (.f64 x -1/2)) (.f64 (.f64 x x) (-.f64 -1/2 (*.f64 -5/12 x)))))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 x x) (+.f64 (.f64 -5/12 x) -1/2))) 2) (cbrt.f64 (-.f64 (.f64 (pow.f64 x 6) 25/144) (.f64 1/4 (.f64 x (pow.f64 x 3)))))) (cbrt.f64 (.f64 (.f64 x x) (-.f64 (.f64 -5/12 x) -1/2))))
(/.f64 (.f64 (+.f64 (.f64 1/4 (.f64 x (pow.f64 x 3))) (.f64 -25/144 (pow.f64 x 6))) 1) (.f64 (.f64 x x) (-.f64 -1/2 (*.f64 -5/12 x))))
(/.f64 (.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x 6) 25/144) (.f64 1/4 (.f64 x (pow.f64 x 3))))) 1) (neg.f64 (.f64 (.f64 x x) (-.f64 (*.f64 -5/12 x) -1/2))))
(/.f64 (.f64 (neg.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x 3) 3) -125/1728) (.f64 -1/8 (pow.f64 x 6)))) 1) (neg.f64 (+.f64 (.f64 (pow.f64 x 6) 25/144) (.f64 (.f64 x (.f64 x -1/2)) (.f64 (.f64 x x) (-.f64 -1/2 (.f64 -5/12 x)))))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x 3) 3) -125/1728) (.f64 -1/8 (pow.f64 x 6)))) (sqrt.f64 (.f64 (.f64 x x) (+.f64 (.f64 -5/12 x) -1/2)))) (sqrt.f64 (+.f64 (.f64 (pow.f64 x 6) 25/144) (.f64 (.f64 x (.f64 x -1/2)) (.f64 (.f64 x x) (-.f64 -1/2 (*.f64 -5/12 x)))))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (.f64 (pow.f64 x 6) 25/144) (.f64 1/4 (.f64 x (pow.f64 x 3))))) (sqrt.f64 (.f64 (.f64 x x) (+.f64 (.f64 -5/12 x) -1/2)))) (sqrt.f64 (.f64 (.f64 x x) (-.f64 (.f64 -5/12 x) -1/2))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x 3) 3) -125/1728) (.f64 -1/8 (pow.f64 x 6)))) (pow.f64 (cbrt.f64 (.f64 (.f64 x x) (+.f64 (.f64 -5/12 x) -1/2))) 2)) (cbrt.f64 (+.f64 (.f64 (pow.f64 x 6) 25/144) (.f64 (.f64 x (.f64 x -1/2)) (.f64 (.f64 x x) (-.f64 -1/2 (*.f64 -5/12 x)))))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (.f64 (pow.f64 x 6) 25/144) (.f64 1/4 (.f64 x (pow.f64 x 3))))) (pow.f64 (cbrt.f64 (.f64 (.f64 x x) (+.f64 (.f64 -5/12 x) -1/2))) 2)) (cbrt.f64 (.f64 (.f64 x x) (-.f64 (.f64 -5/12 x) -1/2))))
(/.f64 (.f64 (-.f64 (.f64 625/20736 (.f64 (pow.f64 x 6) (pow.f64 x 6))) (.f64 (.f64 (pow.f64 x 6) (.f64 x x)) 1/16)) (/.f64 1 (.f64 (.f64 x x) (-.f64 (.f64 -5/12 x) -1/2)))) (+.f64 (.f64 1/4 (.f64 x (pow.f64 x 3))) (.f64 (pow.f64 x 6) 25/144)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (pow.f64 x 6) 25/144) 3) (pow.f64 (.f64 1/4 (.f64 x (pow.f64 x 3))) 3)) (/.f64 1 (.f64 (.f64 x x) (-.f64 (.f64 -5/12 x) -1/2)))) (+.f64 (.f64 625/20736 (.f64 (pow.f64 x 6) (pow.f64 x 6))) (.f64 (.f64 1/4 (.f64 x (pow.f64 x 3))) (+.f64 (.f64 1/4 (.f64 x (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 25/144)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (pow.f64 x 6) (.f64 (pow.f64 x 6) (pow.f64 x 6))) 15625/2985984) (.f64 (.f64 (pow.f64 x 6) (pow.f64 x 6)) 1/64)) (/.f64 1 (+.f64 (.f64 (pow.f64 x 6) 25/144) (.f64 (.f64 x (.f64 x -1/2)) (.f64 (.f64 x x) (-.f64 -1/2 (.f64 -5/12 x))))))) (-.f64 (.f64 (pow.f64 (pow.f64 x 3) 3) -125/1728) (*.f64 -1/8 (pow.f64 x 6))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (pow.f64 (pow.f64 x 3) 3) -125/1728) 3) (pow.f64 (.f64 -1/8 (pow.f64 x 6)) 3)) (/.f64 1 (+.f64 (.f64 (pow.f64 x 6) 25/144) (.f64 (.f64 x (.f64 x -1/2)) (.f64 (.f64 x x) (-.f64 -1/2 (.f64 -5/12 x))))))) (+.f64 (.f64 (.f64 (pow.f64 x 6) (.f64 (pow.f64 x 6) (pow.f64 x 6))) 15625/2985984) (.f64 (.f64 -1/8 (pow.f64 x 6)) (-.f64 (.f64 -1/8 (pow.f64 x 6)) (*.f64 (pow.f64 (pow.f64 x 3) 3) -125/1728)))))
(/.f64 (/.f64 (-.f64 (.f64 (pow.f64 x 6) 25/144) (.f64 1/4 (.f64 x (pow.f64 x 3)))) 1) (.f64 (.f64 x x) (-.f64 (.f64 -5/12 x) -1/2)))
(/.f64 (/.f64 (-.f64 (.f64 (pow.f64 x 6) 25/144) (.f64 1/4 (.f64 x (pow.f64 x 3)))) (sqrt.f64 (.f64 (.f64 x x) (-.f64 (.f64 -5/12 x) -1/2)))) (sqrt.f64 (.f64 (.f64 x x) (-.f64 (*.f64 -5/12 x) -1/2))))
(/.f64 (/.f64 (-.f64 (.f64 (pow.f64 x 6) 25/144) (.f64 1/4 (.f64 x (pow.f64 x 3)))) (.f64 (cbrt.f64 (.f64 (.f64 x x) (-.f64 (.f64 -5/12 x) -1/2))) (cbrt.f64 (.f64 (.f64 x x) (-.f64 (.f64 -5/12 x) -1/2))))) (cbrt.f64 (.f64 (.f64 x x) (-.f64 (*.f64 -5/12 x) -1/2))))
(/.f64 (/.f64 (-.f64 (.f64 (pow.f64 x 6) 25/144) (.f64 1/4 (.f64 x (pow.f64 x 3)))) (+.f64 (.f64 x (sqrt.f64 -1/2)) (.f64 (pow.f64 x 3/2) (sqrt.f64 -5/12)))) (-.f64 (.f64 (pow.f64 x 3/2) (sqrt.f64 -5/12)) (*.f64 x (sqrt.f64 -1/2))))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x 3) 3) -125/1728) (.f64 -1/8 (pow.f64 x 6))) 1) (+.f64 (.f64 (pow.f64 x 6) 25/144) (.f64 (.f64 x (.f64 x -1/2)) (.f64 (.f64 x x) (-.f64 -1/2 (*.f64 -5/12 x))))))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x 3) 3) -125/1728) (.f64 -1/8 (pow.f64 x 6))) (sqrt.f64 (+.f64 (.f64 (pow.f64 x 6) 25/144) (.f64 (.f64 x (.f64 x -1/2)) (.f64 (.f64 x x) (-.f64 -1/2 (.f64 -5/12 x))))))) (sqrt.f64 (+.f64 (.f64 (pow.f64 x 6) 25/144) (.f64 (.f64 x (.f64 x -1/2)) (.f64 (.f64 x x) (-.f64 -1/2 (.f64 -5/12 x)))))))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x 3) 3) -125/1728) (.f64 -1/8 (pow.f64 x 6))) (.f64 (cbrt.f64 (+.f64 (.f64 (pow.f64 x 6) 25/144) (.f64 (.f64 x (.f64 x -1/2)) (.f64 (.f64 x x) (-.f64 -1/2 (.f64 -5/12 x)))))) (cbrt.f64 (+.f64 (.f64 (pow.f64 x 6) 25/144) (.f64 (.f64 x (.f64 x -1/2)) (.f64 (.f64 x x) (-.f64 -1/2 (.f64 -5/12 x)))))))) (cbrt.f64 (+.f64 (.f64 (pow.f64 x 6) 25/144) (.f64 (.f64 x (.f64 x -1/2)) (.f64 (.f64 x x) (-.f64 -1/2 (.f64 -5/12 x)))))))
(pow.f64 (.f64 (.f64 x x) (+.f64 (*.f64 -5/12 x) -1/2)) 1)
(pow.f64 (sqrt.f64 (.f64 (.f64 x x) (+.f64 (*.f64 -5/12 x) -1/2))) 2)
(pow.f64 (cbrt.f64 (.f64 (.f64 x x) (+.f64 (*.f64 -5/12 x) -1/2))) 3)
(pow.f64 (pow.f64 (.f64 (.f64 x x) (+.f64 (*.f64 -5/12 x) -1/2)) 3) 1/3)
(neg.f64 (/.f64 (-.f64 (.f64 (pow.f64 x 6) 25/144) (.f64 1/4 (.f64 x (pow.f64 x 3)))) (neg.f64 (.f64 (.f64 x x) (-.f64 (.f64 -5/12 x) -1/2)))))
(neg.f64 (/.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x 3) 3) -125/1728) (.f64 -1/8 (pow.f64 x 6))) (neg.f64 (+.f64 (.f64 (pow.f64 x 6) 25/144) (.f64 (.f64 x (.f64 x -1/2)) (.f64 (.f64 x x) (-.f64 -1/2 (*.f64 -5/12 x))))))))
(sqrt.f64 (pow.f64 (.f64 (.f64 x x) (+.f64 (*.f64 -5/12 x) -1/2)) 2))
(log.f64 (exp.f64 (.f64 (.f64 x x) (+.f64 (*.f64 -5/12 x) -1/2))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 x x) (+.f64 (*.f64 -5/12 x) -1/2)))))
(cbrt.f64 (pow.f64 (.f64 (.f64 x x) (+.f64 (*.f64 -5/12 x) -1/2)) 3))
(expm1.f64 (log1p.f64 (.f64 (.f64 x x) (+.f64 (*.f64 -5/12 x) -1/2))))
(exp.f64 (log.f64 (.f64 (.f64 x x) (+.f64 (*.f64 -5/12 x) -1/2))))
(log1p.f64 (expm1.f64 (.f64 (.f64 x x) (+.f64 (*.f64 -5/12 x) -1/2))))
(fma.f64 -5/12 (pow.f64 x 3) (.f64 x (.f64 x -1/2)))
(fma.f64 x (.f64 x -1/2) (.f64 -5/12 (pow.f64 x 3)))
(fma.f64 (pow.f64 x 3) -5/12 (.f64 x (.f64 x -1/2)))
(fma.f64 (.f64 x -1/2) x (.f64 -5/12 (pow.f64 x 3)))
(fma.f64 1 (.f64 -5/12 (pow.f64 x 3)) (.f64 x (*.f64 x -1/2)))
(fma.f64 1 (.f64 x (.f64 x -1/2)) (*.f64 -5/12 (pow.f64 x 3)))
(fma.f64 (.f64 x (sqrt.f64 -1/2)) (.f64 x (sqrt.f64 -1/2)) (*.f64 -5/12 (pow.f64 x 3)))
(fma.f64 (.f64 (pow.f64 x 3/2) (sqrt.f64 -5/12)) (.f64 (pow.f64 x 3/2) (sqrt.f64 -5/12)) (.f64 x (.f64 x -1/2)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 x -1/2))) 2) (cbrt.f64 (.f64 x (.f64 x -1/2))) (*.f64 -5/12 (pow.f64 x 3)))
(fma.f64 (.f64 (cbrt.f64 25/144) (.f64 x x)) (.f64 x (cbrt.f64 -5/12)) (.f64 x (*.f64 x -1/2)))
(fma.f64 (.f64 x x) -1/2 (.f64 -5/12 (pow.f64 x 3)))

Outputs
(*.f64 -1/2 (pow.f64 x 2))
(.f64 -1/2 (.f64 x x))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -5/12 (pow.f64 x 3)))
(fma.f64 -1/2 (.f64 x x) (.f64 -5/12 (pow.f64 x 3)))
(.f64 (.f64 x x) (fma.f64 x -5/12 -1/2))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -5/12 (pow.f64 x 3)))
(fma.f64 -1/2 (.f64 x x) (.f64 -5/12 (pow.f64 x 3)))
(.f64 (.f64 x x) (fma.f64 x -5/12 -1/2))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -5/12 (pow.f64 x 3)))
(fma.f64 -1/2 (.f64 x x) (.f64 -5/12 (pow.f64 x 3)))
(.f64 (.f64 x x) (fma.f64 x -5/12 -1/2))
(*.f64 -5/12 (pow.f64 x 3))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -5/12 (pow.f64 x 3)))
(fma.f64 -1/2 (.f64 x x) (.f64 -5/12 (pow.f64 x 3)))
(.f64 (.f64 x x) (fma.f64 x -5/12 -1/2))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -5/12 (pow.f64 x 3)))
(fma.f64 -1/2 (.f64 x x) (.f64 -5/12 (pow.f64 x 3)))
(.f64 (.f64 x x) (fma.f64 x -5/12 -1/2))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -5/12 (pow.f64 x 3)))
(fma.f64 -1/2 (.f64 x x) (.f64 -5/12 (pow.f64 x 3)))
(.f64 (.f64 x x) (fma.f64 x -5/12 -1/2))
(*.f64 -5/12 (pow.f64 x 3))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -5/12 (pow.f64 x 3)))
(fma.f64 -1/2 (.f64 x x) (.f64 -5/12 (pow.f64 x 3)))
(.f64 (.f64 x x) (fma.f64 x -5/12 -1/2))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -5/12 (pow.f64 x 3)))
(fma.f64 -1/2 (.f64 x x) (.f64 -5/12 (pow.f64 x 3)))
(.f64 (.f64 x x) (fma.f64 x -5/12 -1/2))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -5/12 (pow.f64 x 3)))
(fma.f64 -1/2 (.f64 x x) (.f64 -5/12 (pow.f64 x 3)))
(.f64 (.f64 x x) (fma.f64 x -5/12 -1/2))
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 x x) (+.f64 (*.f64 -5/12 x) -1/2)))) 1)
(fma.f64 -1/2 (.f64 x x) (.f64 -5/12 (pow.f64 x 3)))
(.f64 (.f64 x x) (fma.f64 x -5/12 -1/2))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x -1/2)))) (-.f64 1 (*.f64 -5/12 (pow.f64 x 3))))
(-.f64 (exp.f64 (log1p.f64 (.f64 -1/2 (.f64 x x)))) (+.f64 1 (*.f64 5/12 (pow.f64 x 3))))
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(.f64 (.f64 x x) (fma.f64 x -5/12 -1/2))
(pow.f64 (cbrt.f64 (.f64 (.f64 x x) (+.f64 (*.f64 -5/12 x) -1/2))) 3)
(fma.f64 -1/2 (.f64 x x) (.f64 -5/12 (pow.f64 x 3)))
(.f64 (.f64 x x) (fma.f64 x -5/12 -1/2))
(pow.f64 (pow.f64 (.f64 (.f64 x x) (+.f64 (*.f64 -5/12 x) -1/2)) 3) 1/3)
(fma.f64 -1/2 (.f64 x x) (.f64 -5/12 (pow.f64 x 3)))
(.f64 (.f64 x x) (fma.f64 x -5/12 -1/2))
(neg.f64 (/.f64 (-.f64 (.f64 (pow.f64 x 6) 25/144) (.f64 1/4 (.f64 x (pow.f64 x 3)))) (neg.f64 (.f64 (.f64 x x) (-.f64 (.f64 -5/12 x) -1/2)))))
(/.f64 (fma.f64 1/4 (.f64 x (pow.f64 x 3)) (.f64 (pow.f64 x 6) -25/144)) (.f64 x (.f64 x (+.f64 -1/2 (*.f64 5/12 x)))))
(/.f64 (fma.f64 1/4 (pow.f64 x 4) (.f64 (pow.f64 x 6) -25/144)) (.f64 (fma.f64 x -5/12 1/2) (*.f64 x (neg.f64 x))))
(neg.f64 (/.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x 3) 3) -125/1728) (.f64 -1/8 (pow.f64 x 6))) (neg.f64 (+.f64 (.f64 (pow.f64 x 6) 25/144) (.f64 (.f64 x (.f64 x -1/2)) (.f64 (.f64 x x) (-.f64 -1/2 (*.f64 -5/12 x))))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) -125/1728 (.f64 (pow.f64 x 6) -1/8))) (neg.f64 (fma.f64 (pow.f64 x 6) 25/144 (.f64 (.f64 -1/2 (.f64 x x)) (.f64 x (.f64 x (+.f64 -1/2 (*.f64 5/12 x))))))))
(.f64 1 (/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) -125/1728 (.f64 (pow.f64 x 6) -1/8)) (fma.f64 (pow.f64 x 6) 25/144 (.f64 (+.f64 -1/2 (.f64 x 5/12)) (*.f64 -1/2 (pow.f64 x 4))))))
(/.f64 (.f64 (pow.f64 x 6) (-.f64 1/8 (.f64 (pow.f64 x 3) -125/1728))) (+.f64 (.f64 (+.f64 -1/2 (.f64 x 5/12)) (.f64 1/2 (pow.f64 x 4))) (.f64 (pow.f64 x 6) -25/144)))
(sqrt.f64 (pow.f64 (.f64 (.f64 x x) (+.f64 (*.f64 -5/12 x) -1/2)) 2))
(sqrt.f64 (pow.f64 (.f64 (.f64 x x) (fma.f64 -5/12 x -1/2)) 2))
(fabs.f64 (.f64 (.f64 x x) (fma.f64 x -5/12 -1/2)))
(log.f64 (exp.f64 (.f64 (.f64 x x) (+.f64 (*.f64 -5/12 x) -1/2))))
(fma.f64 -1/2 (.f64 x x) (.f64 -5/12 (pow.f64 x 3)))
(.f64 (.f64 x x) (fma.f64 x -5/12 -1/2))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 x x) (+.f64 (*.f64 -5/12 x) -1/2)))))
(fma.f64 -1/2 (.f64 x x) (.f64 -5/12 (pow.f64 x 3)))
(.f64 (.f64 x x) (fma.f64 x -5/12 -1/2))
(cbrt.f64 (pow.f64 (.f64 (.f64 x x) (+.f64 (*.f64 -5/12 x) -1/2)) 3))
(fma.f64 -1/2 (.f64 x x) (.f64 -5/12 (pow.f64 x 3)))
(.f64 (.f64 x x) (fma.f64 x -5/12 -1/2))
(expm1.f64 (log1p.f64 (.f64 (.f64 x x) (+.f64 (*.f64 -5/12 x) -1/2))))
(fma.f64 -1/2 (.f64 x x) (.f64 -5/12 (pow.f64 x 3)))
(.f64 (.f64 x x) (fma.f64 x -5/12 -1/2))
(exp.f64 (log.f64 (.f64 (.f64 x x) (+.f64 (*.f64 -5/12 x) -1/2))))
(fma.f64 -1/2 (.f64 x x) (.f64 -5/12 (pow.f64 x 3)))
(.f64 (.f64 x x) (fma.f64 x -5/12 -1/2))
(log1p.f64 (expm1.f64 (.f64 (.f64 x x) (+.f64 (*.f64 -5/12 x) -1/2))))
(fma.f64 -1/2 (.f64 x x) (.f64 -5/12 (pow.f64 x 3)))
(.f64 (.f64 x x) (fma.f64 x -5/12 -1/2))
(fma.f64 -5/12 (pow.f64 x 3) (.f64 x (.f64 x -1/2)))
(fma.f64 -1/2 (.f64 x x) (.f64 -5/12 (pow.f64 x 3)))
(.f64 (.f64 x x) (fma.f64 x -5/12 -1/2))
(fma.f64 x (.f64 x -1/2) (.f64 -5/12 (pow.f64 x 3)))
(fma.f64 -1/2 (.f64 x x) (.f64 -5/12 (pow.f64 x 3)))
(.f64 (.f64 x x) (fma.f64 x -5/12 -1/2))
(fma.f64 (pow.f64 x 3) -5/12 (.f64 x (.f64 x -1/2)))
(fma.f64 -1/2 (.f64 x x) (.f64 -5/12 (pow.f64 x 3)))
(.f64 (.f64 x x) (fma.f64 x -5/12 -1/2))
(fma.f64 (.f64 x -1/2) x (.f64 -5/12 (pow.f64 x 3)))
(fma.f64 -1/2 (.f64 x x) (.f64 -5/12 (pow.f64 x 3)))
(.f64 (.f64 x x) (fma.f64 x -5/12 -1/2))
(fma.f64 1 (.f64 -5/12 (pow.f64 x 3)) (.f64 x (*.f64 x -1/2)))
(fma.f64 -1/2 (.f64 x x) (.f64 -5/12 (pow.f64 x 3)))
(.f64 (.f64 x x) (fma.f64 x -5/12 -1/2))
(fma.f64 1 (.f64 x (.f64 x -1/2)) (*.f64 -5/12 (pow.f64 x 3)))
(fma.f64 -1/2 (.f64 x x) (.f64 -5/12 (pow.f64 x 3)))
(.f64 (.f64 x x) (fma.f64 x -5/12 -1/2))
(fma.f64 (.f64 x (sqrt.f64 -1/2)) (.f64 x (sqrt.f64 -1/2)) (*.f64 -5/12 (pow.f64 x 3)))
(.f64 (.f64 x x) (+.f64 (.f64 x -5/12) (.f64 (sqrt.f64 -1/2) (sqrt.f64 -1/2))))
(fma.f64 (.f64 (pow.f64 x 3/2) (sqrt.f64 -5/12)) (.f64 (pow.f64 x 3/2) (sqrt.f64 -5/12)) (.f64 x (.f64 x -1/2)))
(fma.f64 (.f64 (pow.f64 x 3/2) (sqrt.f64 -5/12)) (.f64 (pow.f64 x 3/2) (sqrt.f64 -5/12)) (.f64 -1/2 (.f64 x x)))
(+.f64 (.f64 -1/2 (.f64 x x)) (.f64 (pow.f64 x 3) (.f64 (sqrt.f64 -5/12) (sqrt.f64 -5/12))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 x -1/2))) 2) (cbrt.f64 (.f64 x (.f64 x -1/2))) (*.f64 -5/12 (pow.f64 x 3)))
(fma.f64 -1/2 (.f64 x x) (.f64 -5/12 (pow.f64 x 3)))
(.f64 (.f64 x x) (fma.f64 x -5/12 -1/2))
(fma.f64 (.f64 (cbrt.f64 25/144) (.f64 x x)) (.f64 x (cbrt.f64 -5/12)) (.f64 x (*.f64 x -1/2)))
(fma.f64 (.f64 (.f64 x x) (cbrt.f64 25/144)) (.f64 x (cbrt.f64 -5/12)) (.f64 -1/2 (*.f64 x x)))
(fma.f64 (.f64 x (.f64 x (cbrt.f64 25/144))) (.f64 x (cbrt.f64 -5/12)) (.f64 -1/2 (*.f64 x x)))
(.f64 (.f64 x x) (+.f64 -1/2 (.f64 (cbrt.f64 25/144) (.f64 x (cbrt.f64 -5/12)))))
(fma.f64 (.f64 x x) -1/2 (.f64 -5/12 (pow.f64 x 3)))
(fma.f64 -1/2 (.f64 x x) (.f64 -5/12 (pow.f64 x 3)))
(.f64 (.f64 x x) (fma.f64 x -5/12 -1/2))

eval540.0ms (5.1%)

Compiler: Compiled 27148 to 19650 computations (27.6% saved)

prune160.0ms (1.5%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	871	1	872
Fresh	0	1	1
Picked	1	0	1
Done	1	4	5
Total	873	6	879

Error

Counts

879 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
▶	0.1b	(-.f64 (-.f64 (.f64 (.f64 x x) (+.f64 (*.f64 -5/12 x) -1/2)) x) 1)
✓	0.2b	(-.f64 (-.f64 (.f64 x (.f64 x -1/2)) x) 1)
✓	0.5b	(-.f64 -1 x)
✓	0.2b	(+.f64 (-.f64 -1 x) (.f64 -1/2 (.f64 x x)))
	1.6b	-1

Compiler

Compiled 47 to 34 computations (27.7% saved)

localize16.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (.f64 x x) (+.f64 (*.f64 -5/12 x) -1/2))
✓	0.2b	(*.f64 -5/12 x)

Compiler

Compiled 49 to 30 computations (38.8% saved)

series2.0ms (0%)

Counts

2 → 12

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(.f64 (.f64 x x) (+.f64 (*.f64 -5/12 x) -1/2))
0.0ms	x	@	0	(*.f64 -5/12 x)
0.0ms	x	@	-inf	(.f64 (.f64 x x) (+.f64 (*.f64 -5/12 x) -1/2))
0.0ms	x	@	inf	(*.f64 -5/12 x)
0.0ms	x	@	-inf	(*.f64 -5/12 x)

rewrite68.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

906×	`*-commutative`
744×	`unswap-sqr`
632×	`associate-*r/`
558×	`swap-sqr`
440×	`associate-*l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	28
1	202	28
2	2607	28

Stop Event

1×	node limit

Counts

2 → 76

Calls

Call 1

Inputs
(*.f64 -5/12 x)
(.f64 (.f64 x x) (+.f64 (*.f64 -5/12 x) -1/2))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (*.f64 -5/12 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -5/12 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 -5/12 x))) (exp.f64 (log1p.f64 (*.f64 -5/12 x)))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 -5/12 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -5/12 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -5/12 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -5/12 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -125/1728 (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 -5/12 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -5/12) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -5/12 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 -125/1728 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -5/12 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -5/12 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -5/12 x)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x -1/2)) (*.f64 -5/12 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -5/12 (pow.f64 x 3)) (*.f64 x (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x x) (/.f64 1 (fma.f64 -5/12 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 -5/12 x 1/2) (*.f64 (*.f64 x x) (+.f64 (pow.f64 (*.f64 -5/12 x) 2) -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1/4 (*.f64 (*.f64 -5/12 x) (fma.f64 -5/12 x 1/2))) (*.f64 (*.f64 x x) (+.f64 -1/8 (*.f64 -125/1728 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 (*.f64 x x) (fma.f64 -5/12 x 1/2)) (-.f64 (*.f64 (pow.f64 x 6) 25/144) (*.f64 (pow.f64 x 4) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 (pow.f64 x 6) 25/144) (-.f64 (*.f64 (pow.f64 x 4) 1/4) (*.f64 (*.f64 x (*.f64 x -1/2)) (*.f64 -5/12 (pow.f64 x 3))))) (+.f64 (pow.f64 (*.f64 -5/12 (pow.f64 x 3)) 3) (pow.f64 (*.f64 x (*.f64 x -1/2)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 -5/12 x) 2) -1/4) (/.f64 (fma.f64 -5/12 x 1/2) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1/8 (*.f64 -125/1728 (pow.f64 x 3))) (/.f64 (+.f64 1/4 (*.f64 (*.f64 -5/12 x) (fma.f64 -5/12 x 1/2))) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) (+.f64 (pow.f64 (*.f64 -5/12 x) 2) -1/4)) (fma.f64 -5/12 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) (+.f64 -1/8 (*.f64 -125/1728 (pow.f64 x 3)))) (+.f64 1/4 (*.f64 (*.f64 -5/12 x) (fma.f64 -5/12 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 x 6) 25/144) (*.f64 (pow.f64 x 4) 1/4)) (*.f64 (*.f64 x x) (fma.f64 -5/12 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 -5/12 (pow.f64 x 3)) 3) (pow.f64 (*.f64 x (*.f64 x -1/2)) 3)) (+.f64 (*.f64 (pow.f64 x 6) 25/144) (-.f64 (*.f64 (pow.f64 x 4) 1/4) (*.f64 (*.f64 x (*.f64 x -1/2)) (*.f64 -5/12 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 -5/12 (pow.f64 x 3)) 3) (pow.f64 (*.f64 x (*.f64 x -1/2)) 3)) (+.f64 (*.f64 (pow.f64 x 4) 1/4) (-.f64 (*.f64 (pow.f64 x 6) 25/144) (*.f64 (*.f64 x (*.f64 x -1/2)) (*.f64 -5/12 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 x (+.f64 (pow.f64 (*.f64 -5/12 x) 2) -1/4))) (fma.f64 -5/12 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 x (+.f64 -1/8 (*.f64 -125/1728 (pow.f64 x 3))))) (+.f64 1/4 (*.f64 (*.f64 -5/12 x) (fma.f64 -5/12 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) (-.f64 1/4 (pow.f64 (*.f64 -5/12 x) 2))) (+.f64 -1/2 (*.f64 x 5/12)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) (neg.f64 (+.f64 (pow.f64 (*.f64 -5/12 x) 2) -1/4))) (+.f64 (*.f64 x 5/12) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) (+.f64 1/8 (neg.f64 (*.f64 -125/1728 (pow.f64 x 3))))) (neg.f64 (+.f64 1/4 (*.f64 (*.f64 -5/12 x) (fma.f64 -5/12 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (*.f64 (*.f64 x x) (+.f64 (pow.f64 (*.f64 -5/12 x) 2) -1/4))) (fma.f64 -5/12 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (*.f64 (*.f64 x x) (+.f64 -1/8 (*.f64 -125/1728 (pow.f64 x 3))))) (+.f64 1/4 (*.f64 (*.f64 -5/12 x) (fma.f64 -5/12 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (-.f64 (*.f64 (pow.f64 x 6) 25/144) (*.f64 (pow.f64 x 4) 1/4))) (*.f64 (*.f64 x x) (fma.f64 -5/12 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (+.f64 (pow.f64 (*.f64 -5/12 (pow.f64 x 3)) 3) (pow.f64 (*.f64 x (*.f64 x -1/2)) 3))) (+.f64 (*.f64 (pow.f64 x 6) 25/144) (-.f64 (*.f64 (pow.f64 x 4) 1/4) (*.f64 (*.f64 x (*.f64 x -1/2)) (*.f64 -5/12 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 x x) (sqrt.f64 (fma.f64 -5/12 x -1/2))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 -5/12 x) 2) -1/4))) (sqrt.f64 (fma.f64 -5/12 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 x x) (sqrt.f64 (fma.f64 -5/12 x -1/2))) (sqrt.f64 (+.f64 -1/8 (*.f64 -125/1728 (pow.f64 x 3))))) (sqrt.f64 (+.f64 1/4 (*.f64 (*.f64 -5/12 x) (fma.f64 -5/12 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (fma.f64 -5/12 x -1/2)) 2)) (cbrt.f64 (+.f64 (pow.f64 (*.f64 -5/12 x) 2) -1/4))) (cbrt.f64 (fma.f64 -5/12 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (fma.f64 -5/12 x -1/2)) 2)) (cbrt.f64 (+.f64 -1/8 (*.f64 -125/1728 (pow.f64 x 3))))) 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x (sqrt.f64 (fma.f64 -5/12 x -1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 -5/12 x -1/2))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) (fma.f64 -5/12 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 -5/12 x -1/2) 3) (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -5/12 x) (*.f64 x x) (*.f64 x (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) (*.f64 -5/12 x) (*.f64 x (*.f64 x -1/2)))))))

simplify64.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1164×	`associate-/r*`
1084×	`distribute-lft-in`
1062×	`distribute-rgt-in`
770×	`associate-*r/`
704×	`associate-/l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	226	3814
1	633	3426
2	2866	3400

Stop Event

1×	node limit

Counts

88 → 128

Calls

Call 1

Inputs
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -5/12 (pow.f64 x 3)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -5/12 (pow.f64 x 3)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -5/12 (pow.f64 x 3)))
(*.f64 -5/12 (pow.f64 x 3))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -5/12 (pow.f64 x 3)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -5/12 (pow.f64 x 3)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -5/12 (pow.f64 x 3)))
(*.f64 -5/12 (pow.f64 x 3))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -5/12 (pow.f64 x 3)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -5/12 (pow.f64 x 3)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -5/12 (pow.f64 x 3)))
(+.f64 (exp.f64 (log1p.f64 (*.f64 -5/12 x))) -1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 -5/12 x))) 1)
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (.f64 -5/12 x))) (exp.f64 (log1p.f64 (.f64 -5/12 x)))) 1) (+.f64 (exp.f64 (log1p.f64 (.f64 -5/12 x))) 1))
(pow.f64 (*.f64 -5/12 x) 1)
(pow.f64 (sqrt.f64 (*.f64 -5/12 x)) 2)
(pow.f64 (cbrt.f64 (*.f64 -5/12 x)) 3)
(pow.f64 (*.f64 -125/1728 (pow.f64 x 3)) 1/3)
(sqrt.f64 (pow.f64 (*.f64 -5/12 x) 2))
(log.f64 (pow.f64 (exp.f64 -5/12) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -5/12 x))))
(cbrt.f64 (*.f64 -125/1728 (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 -5/12 x)))
(exp.f64 (log.f64 (*.f64 -5/12 x)))
(log1p.f64 (expm1.f64 (*.f64 -5/12 x)))
(+.f64 (.f64 x (.f64 x -1/2)) (*.f64 -5/12 (pow.f64 x 3)))
(+.f64 (.f64 -5/12 (pow.f64 x 3)) (.f64 x (*.f64 x -1/2)))
(+.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x (fma.f64 -5/12 x -1/2))))) -1)
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x (fma.f64 -5/12 x -1/2))))) 1)
(/.f64 (*.f64 x x) (/.f64 1 (fma.f64 -5/12 x -1/2)))
(/.f64 1 (/.f64 (fma.f64 -5/12 x 1/2) (.f64 (.f64 x x) (+.f64 (pow.f64 (*.f64 -5/12 x) 2) -1/4))))
(/.f64 1 (/.f64 (+.f64 1/4 (.f64 (.f64 -5/12 x) (fma.f64 -5/12 x 1/2))) (.f64 (.f64 x x) (+.f64 -1/8 (*.f64 -125/1728 (pow.f64 x 3))))))
(/.f64 1 (/.f64 (.f64 (.f64 x x) (fma.f64 -5/12 x 1/2)) (-.f64 (.f64 (pow.f64 x 6) 25/144) (.f64 (pow.f64 x 4) 1/4))))
(/.f64 1 (/.f64 (+.f64 (.f64 (pow.f64 x 6) 25/144) (-.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (.f64 x (.f64 x -1/2)) (.f64 -5/12 (pow.f64 x 3))))) (+.f64 (pow.f64 (.f64 -5/12 (pow.f64 x 3)) 3) (pow.f64 (.f64 x (*.f64 x -1/2)) 3))))
(/.f64 (+.f64 (pow.f64 (.f64 -5/12 x) 2) -1/4) (/.f64 (fma.f64 -5/12 x 1/2) (.f64 x x)))
(/.f64 (+.f64 -1/8 (.f64 -125/1728 (pow.f64 x 3))) (/.f64 (+.f64 1/4 (.f64 (.f64 -5/12 x) (fma.f64 -5/12 x 1/2))) (.f64 x x)))
(/.f64 (.f64 (.f64 x x) (+.f64 (pow.f64 (*.f64 -5/12 x) 2) -1/4)) (fma.f64 -5/12 x 1/2))
(/.f64 (.f64 (.f64 x x) (+.f64 -1/8 (.f64 -125/1728 (pow.f64 x 3)))) (+.f64 1/4 (.f64 (*.f64 -5/12 x) (fma.f64 -5/12 x 1/2))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 25/144) (.f64 (pow.f64 x 4) 1/4)) (.f64 (.f64 x x) (fma.f64 -5/12 x 1/2)))
(/.f64 (+.f64 (pow.f64 (.f64 -5/12 (pow.f64 x 3)) 3) (pow.f64 (.f64 x (.f64 x -1/2)) 3)) (+.f64 (.f64 (pow.f64 x 6) 25/144) (-.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (.f64 x (.f64 x -1/2)) (*.f64 -5/12 (pow.f64 x 3))))))
(/.f64 (+.f64 (pow.f64 (.f64 -5/12 (pow.f64 x 3)) 3) (pow.f64 (.f64 x (.f64 x -1/2)) 3)) (+.f64 (.f64 (pow.f64 x 4) 1/4) (-.f64 (.f64 (pow.f64 x 6) 25/144) (.f64 (.f64 x (.f64 x -1/2)) (*.f64 -5/12 (pow.f64 x 3))))))
(/.f64 (.f64 x (.f64 x (+.f64 (pow.f64 (*.f64 -5/12 x) 2) -1/4))) (fma.f64 -5/12 x 1/2))
(/.f64 (.f64 x (.f64 x (+.f64 -1/8 (.f64 -125/1728 (pow.f64 x 3))))) (+.f64 1/4 (.f64 (*.f64 -5/12 x) (fma.f64 -5/12 x 1/2))))
(/.f64 (.f64 (.f64 x x) (-.f64 1/4 (pow.f64 (.f64 -5/12 x) 2))) (+.f64 -1/2 (.f64 x 5/12)))
(/.f64 (.f64 (.f64 x x) (neg.f64 (+.f64 (pow.f64 (.f64 -5/12 x) 2) -1/4))) (+.f64 (.f64 x 5/12) -1/2))
(/.f64 (.f64 (.f64 x x) (+.f64 1/8 (neg.f64 (.f64 -125/1728 (pow.f64 x 3))))) (neg.f64 (+.f64 1/4 (.f64 (*.f64 -5/12 x) (fma.f64 -5/12 x 1/2)))))
(/.f64 (.f64 1 (.f64 (.f64 x x) (+.f64 (pow.f64 (.f64 -5/12 x) 2) -1/4))) (fma.f64 -5/12 x 1/2))
(/.f64 (.f64 1 (.f64 (.f64 x x) (+.f64 -1/8 (.f64 -125/1728 (pow.f64 x 3))))) (+.f64 1/4 (.f64 (.f64 -5/12 x) (fma.f64 -5/12 x 1/2))))
(/.f64 (.f64 1 (-.f64 (.f64 (pow.f64 x 6) 25/144) (.f64 (pow.f64 x 4) 1/4))) (.f64 (*.f64 x x) (fma.f64 -5/12 x 1/2)))
(/.f64 (.f64 1 (+.f64 (pow.f64 (.f64 -5/12 (pow.f64 x 3)) 3) (pow.f64 (.f64 x (.f64 x -1/2)) 3))) (+.f64 (.f64 (pow.f64 x 6) 25/144) (-.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (.f64 x (.f64 x -1/2)) (.f64 -5/12 (pow.f64 x 3))))))
(/.f64 (.f64 (.f64 (.f64 x x) (sqrt.f64 (fma.f64 -5/12 x -1/2))) (sqrt.f64 (+.f64 (pow.f64 (.f64 -5/12 x) 2) -1/4))) (sqrt.f64 (fma.f64 -5/12 x 1/2)))
(/.f64 (.f64 (.f64 (.f64 x x) (sqrt.f64 (fma.f64 -5/12 x -1/2))) (sqrt.f64 (+.f64 -1/8 (.f64 -125/1728 (pow.f64 x 3))))) (sqrt.f64 (+.f64 1/4 (.f64 (.f64 -5/12 x) (fma.f64 -5/12 x 1/2)))))
(/.f64 (.f64 (.f64 (.f64 x x) (pow.f64 (cbrt.f64 (fma.f64 -5/12 x -1/2)) 2)) (cbrt.f64 (+.f64 (pow.f64 (.f64 -5/12 x) 2) -1/4))) (cbrt.f64 (fma.f64 -5/12 x 1/2)))
(/.f64 (.f64 (.f64 (.f64 x x) (pow.f64 (cbrt.f64 (fma.f64 -5/12 x -1/2)) 2)) (cbrt.f64 (+.f64 -1/8 (.f64 -125/1728 (pow.f64 x 3))))) (cbrt.f64 (+.f64 1/4 (.f64 (.f64 -5/12 x) (fma.f64 -5/12 x 1/2)))))
(/.f64 (.f64 (-.f64 1/4 (pow.f64 (.f64 -5/12 x) 2)) (.f64 x x)) (+.f64 -1/2 (.f64 x 5/12)))
(/.f64 (.f64 (neg.f64 (+.f64 (pow.f64 (.f64 -5/12 x) 2) -1/4)) (.f64 x x)) (+.f64 (.f64 x 5/12) -1/2))
(/.f64 (.f64 (+.f64 1/8 (neg.f64 (.f64 -125/1728 (pow.f64 x 3)))) (.f64 x x)) (neg.f64 (+.f64 1/4 (.f64 (*.f64 -5/12 x) (fma.f64 -5/12 x 1/2)))))
(/.f64 (.f64 (.f64 (.f64 x x) (+.f64 (pow.f64 (.f64 -5/12 x) 2) -1/4)) 1) (fma.f64 -5/12 x 1/2))
(/.f64 (.f64 (.f64 (.f64 x x) (+.f64 -1/8 (.f64 -125/1728 (pow.f64 x 3)))) 1) (+.f64 1/4 (.f64 (.f64 -5/12 x) (fma.f64 -5/12 x 1/2))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 x 6) 25/144) (.f64 (pow.f64 x 4) 1/4)) 1) (.f64 (*.f64 x x) (fma.f64 -5/12 x 1/2)))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 -5/12 (pow.f64 x 3)) 3) (pow.f64 (.f64 x (.f64 x -1/2)) 3)) 1) (+.f64 (.f64 (pow.f64 x 6) 25/144) (-.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (.f64 x (.f64 x -1/2)) (.f64 -5/12 (pow.f64 x 3))))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 -5/12 x) 2) -1/4)) (.f64 (.f64 x x) (sqrt.f64 (fma.f64 -5/12 x -1/2)))) (sqrt.f64 (fma.f64 -5/12 x 1/2)))
(/.f64 (.f64 (sqrt.f64 (+.f64 -1/8 (.f64 -125/1728 (pow.f64 x 3)))) (.f64 (.f64 x x) (sqrt.f64 (fma.f64 -5/12 x -1/2)))) (sqrt.f64 (+.f64 1/4 (.f64 (.f64 -5/12 x) (fma.f64 -5/12 x 1/2)))))
(/.f64 (.f64 (.f64 x (+.f64 (pow.f64 (*.f64 -5/12 x) 2) -1/4)) x) (fma.f64 -5/12 x 1/2))
(/.f64 (.f64 (.f64 x (+.f64 -1/8 (.f64 -125/1728 (pow.f64 x 3)))) x) (+.f64 1/4 (.f64 (*.f64 -5/12 x) (fma.f64 -5/12 x 1/2))))
(/.f64 (/.f64 (.f64 (.f64 x x) (+.f64 (pow.f64 (*.f64 -5/12 x) 2) -1/4)) 1) (fma.f64 -5/12 x 1/2))
(/.f64 (/.f64 (.f64 (.f64 x x) (+.f64 (pow.f64 (*.f64 -5/12 x) 2) -1/4)) (sqrt.f64 (fma.f64 -5/12 x 1/2))) (sqrt.f64 (fma.f64 -5/12 x 1/2)))
(/.f64 (/.f64 (.f64 (.f64 x x) (+.f64 (pow.f64 (.f64 -5/12 x) 2) -1/4)) (.f64 (cbrt.f64 (fma.f64 -5/12 x 1/2)) (cbrt.f64 (fma.f64 -5/12 x 1/2)))) (cbrt.f64 (fma.f64 -5/12 x 1/2)))
(/.f64 (/.f64 (.f64 (.f64 x x) (+.f64 -1/8 (.f64 -125/1728 (pow.f64 x 3)))) 1) (+.f64 1/4 (.f64 (*.f64 -5/12 x) (fma.f64 -5/12 x 1/2))))
(/.f64 (/.f64 (.f64 (.f64 x x) (+.f64 -1/8 (.f64 -125/1728 (pow.f64 x 3)))) (sqrt.f64 (+.f64 1/4 (.f64 (.f64 -5/12 x) (fma.f64 -5/12 x 1/2))))) (sqrt.f64 (+.f64 1/4 (.f64 (*.f64 -5/12 x) (fma.f64 -5/12 x 1/2)))))
(/.f64 (/.f64 (.f64 (.f64 x x) (+.f64 -1/8 (.f64 -125/1728 (pow.f64 x 3)))) (.f64 (cbrt.f64 (+.f64 1/4 (.f64 (.f64 -5/12 x) (fma.f64 -5/12 x 1/2)))) (cbrt.f64 (+.f64 1/4 (.f64 (.f64 -5/12 x) (fma.f64 -5/12 x 1/2)))))) (cbrt.f64 (+.f64 1/4 (.f64 (.f64 -5/12 x) (fma.f64 -5/12 x 1/2)))))
(/.f64 (-.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (pow.f64 x 6) 25/144)) (-.f64 (.f64 x (.f64 x -1/2)) (*.f64 -5/12 (pow.f64 x 3))))
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x (fma.f64 -5/12 x -1/2))))) (exp.f64 (log1p.f64 (.f64 x (.f64 x (fma.f64 -5/12 x -1/2)))))) 1) (+.f64 (exp.f64 (log1p.f64 (.f64 x (*.f64 x (fma.f64 -5/12 x -1/2))))) 1))
(pow.f64 (.f64 x (.f64 x (fma.f64 -5/12 x -1/2))) 1)
(pow.f64 (*.f64 x (sqrt.f64 (fma.f64 -5/12 x -1/2))) 2)
(pow.f64 (cbrt.f64 (.f64 x (.f64 x (fma.f64 -5/12 x -1/2)))) 3)
(pow.f64 (pow.f64 (.f64 x (.f64 x (fma.f64 -5/12 x -1/2))) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 -5/12 x -1/2))) 4))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) (fma.f64 -5/12 x -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x (fma.f64 -5/12 x -1/2))))))
(cbrt.f64 (pow.f64 (.f64 x (.f64 x (fma.f64 -5/12 x -1/2))) 3))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 -5/12 x -1/2) 3) (pow.f64 x 6)))
(expm1.f64 (log1p.f64 (.f64 x (.f64 x (fma.f64 -5/12 x -1/2)))))
(exp.f64 (log.f64 (.f64 x (.f64 x (fma.f64 -5/12 x -1/2)))))
(log1p.f64 (expm1.f64 (.f64 x (.f64 x (fma.f64 -5/12 x -1/2)))))
(fma.f64 (.f64 -5/12 x) (.f64 x x) (.f64 x (.f64 x -1/2)))
(fma.f64 (.f64 x x) (.f64 -5/12 x) (.f64 x (.f64 x -1/2)))

Outputs
(*.f64 -1/2 (pow.f64 x 2))
(.f64 -1/2 (.f64 x x))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -5/12 (pow.f64 x 3)))
(fma.f64 -1/2 (.f64 x x) (.f64 -5/12 (pow.f64 x 3)))
(.f64 x (.f64 x (fma.f64 x -5/12 -1/2)))
(.f64 (fma.f64 x -5/12 -1/2) (.f64 x x))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -5/12 (pow.f64 x 3)))
(fma.f64 -1/2 (.f64 x x) (.f64 -5/12 (pow.f64 x 3)))
(.f64 x (.f64 x (fma.f64 x -5/12 -1/2)))
(.f64 (fma.f64 x -5/12 -1/2) (.f64 x x))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -5/12 (pow.f64 x 3)))
(fma.f64 -1/2 (.f64 x x) (.f64 -5/12 (pow.f64 x 3)))
(.f64 x (.f64 x (fma.f64 x -5/12 -1/2)))
(.f64 (fma.f64 x -5/12 -1/2) (.f64 x x))
(*.f64 -5/12 (pow.f64 x 3))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -5/12 (pow.f64 x 3)))
(fma.f64 -1/2 (.f64 x x) (.f64 -5/12 (pow.f64 x 3)))
(.f64 x (.f64 x (fma.f64 x -5/12 -1/2)))
(.f64 (fma.f64 x -5/12 -1/2) (.f64 x x))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -5/12 (pow.f64 x 3)))
(fma.f64 -1/2 (.f64 x x) (.f64 -5/12 (pow.f64 x 3)))
(.f64 x (.f64 x (fma.f64 x -5/12 -1/2)))
(.f64 (fma.f64 x -5/12 -1/2) (.f64 x x))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -5/12 (pow.f64 x 3)))
(fma.f64 -1/2 (.f64 x x) (.f64 -5/12 (pow.f64 x 3)))
(.f64 x (.f64 x (fma.f64 x -5/12 -1/2)))
(.f64 (fma.f64 x -5/12 -1/2) (.f64 x x))
(*.f64 -5/12 (pow.f64 x 3))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -5/12 (pow.f64 x 3)))
(fma.f64 -1/2 (.f64 x x) (.f64 -5/12 (pow.f64 x 3)))
(.f64 x (.f64 x (fma.f64 x -5/12 -1/2)))
(.f64 (fma.f64 x -5/12 -1/2) (.f64 x x))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -5/12 (pow.f64 x 3)))
(fma.f64 -1/2 (.f64 x x) (.f64 -5/12 (pow.f64 x 3)))
(.f64 x (.f64 x (fma.f64 x -5/12 -1/2)))
(.f64 (fma.f64 x -5/12 -1/2) (.f64 x x))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -5/12 (pow.f64 x 3)))
(fma.f64 -1/2 (.f64 x x) (.f64 -5/12 (pow.f64 x 3)))
(.f64 x (.f64 x (fma.f64 x -5/12 -1/2)))
(.f64 (fma.f64 x -5/12 -1/2) (.f64 x x))
(+.f64 (exp.f64 (log1p.f64 (*.f64 -5/12 x))) -1)
(*.f64 x -5/12)
(-.f64 (exp.f64 (log1p.f64 (*.f64 -5/12 x))) 1)
(*.f64 x -5/12)
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (.f64 -5/12 x))) (exp.f64 (log1p.f64 (.f64 -5/12 x)))) 1) (+.f64 (exp.f64 (log1p.f64 (.f64 -5/12 x))) 1))
(/.f64 (.f64 (+.f64 (exp.f64 (log1p.f64 (.f64 x -5/12))) 1) (.f64 x -5/12)) (+.f64 (exp.f64 (log1p.f64 (.f64 x -5/12))) 1))
(/.f64 (expm1.f64 (.f64 2 (log1p.f64 (.f64 x -5/12)))) (+.f64 (exp.f64 (log1p.f64 (*.f64 x -5/12))) 1))
(pow.f64 (*.f64 -5/12 x) 1)
(*.f64 x -5/12)
(pow.f64 (sqrt.f64 (*.f64 -5/12 x)) 2)
(*.f64 x -5/12)
(pow.f64 (cbrt.f64 (*.f64 -5/12 x)) 3)
(*.f64 x -5/12)
(pow.f64 (*.f64 -125/1728 (pow.f64 x 3)) 1/3)
(cbrt.f64 (*.f64 (pow.f64 x 3) -125/1728))
(sqrt.f64 (pow.f64 (*.f64 -5/12 x) 2))
(sqrt.f64 (pow.f64 (*.f64 x -5/12) 2))
(fabs.f64 (*.f64 x -5/12))
(log.f64 (pow.f64 (exp.f64 -5/12) x))
(*.f64 x -5/12)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -5/12 x))))
(*.f64 x -5/12)
(cbrt.f64 (*.f64 -125/1728 (pow.f64 x 3)))
(cbrt.f64 (*.f64 (pow.f64 x 3) -125/1728))
(expm1.f64 (log1p.f64 (*.f64 -5/12 x)))
(*.f64 x -5/12)
(exp.f64 (log.f64 (*.f64 -5/12 x)))
(*.f64 x -5/12)
(log1p.f64 (expm1.f64 (*.f64 -5/12 x)))
(*.f64 x -5/12)
(+.f64 (.f64 x (.f64 x -1/2)) (*.f64 -5/12 (pow.f64 x 3)))
(fma.f64 -1/2 (.f64 x x) (.f64 -5/12 (pow.f64 x 3)))
(.f64 x (.f64 x (fma.f64 x -5/12 -1/2)))
(.f64 (fma.f64 x -5/12 -1/2) (.f64 x x))
(+.f64 (.f64 -5/12 (pow.f64 x 3)) (.f64 x (*.f64 x -1/2)))
(fma.f64 -1/2 (.f64 x x) (.f64 -5/12 (pow.f64 x 3)))
(.f64 x (.f64 x (fma.f64 x -5/12 -1/2)))
(.f64 (fma.f64 x -5/12 -1/2) (.f64 x x))
(+.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x (fma.f64 -5/12 x -1/2))))) -1)
(fma.f64 -1/2 (.f64 x x) (.f64 -5/12 (pow.f64 x 3)))
(.f64 x (.f64 x (fma.f64 x -5/12 -1/2)))
(.f64 (fma.f64 x -5/12 -1/2) (.f64 x x))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x (fma.f64 -5/12 x -1/2))))) 1)
(fma.f64 -1/2 (.f64 x x) (.f64 -5/12 (pow.f64 x 3)))
(.f64 x (.f64 x (fma.f64 x -5/12 -1/2)))
(.f64 (fma.f64 x -5/12 -1/2) (.f64 x x))
(/.f64 (*.f64 x x) (/.f64 1 (fma.f64 -5/12 x -1/2)))
(fma.f64 -1/2 (.f64 x x) (.f64 -5/12 (pow.f64 x 3)))
(.f64 x (.f64 x (fma.f64 x -5/12 -1/2)))
(.f64 (fma.f64 x -5/12 -1/2) (.f64 x x))
(/.f64 1 (/.f64 (fma.f64 -5/12 x 1/2) (.f64 (.f64 x x) (+.f64 (pow.f64 (*.f64 -5/12 x) 2) -1/4))))
(/.f64 x (/.f64 (fma.f64 -5/12 x 1/2) (.f64 x (+.f64 (pow.f64 (.f64 x -5/12) 2) -1/4))))
(/.f64 (.f64 x x) (/.f64 (fma.f64 x -5/12 1/2) (+.f64 (pow.f64 (.f64 x -5/12) 2) -1/4)))
(.f64 (/.f64 (.f64 x x) (fma.f64 x -5/12 1/2)) (+.f64 (.f64 (.f64 x x) 25/144) -1/4))
(/.f64 1 (/.f64 (+.f64 1/4 (.f64 (.f64 -5/12 x) (fma.f64 -5/12 x 1/2))) (.f64 (.f64 x x) (+.f64 -1/8 (*.f64 -125/1728 (pow.f64 x 3))))))
(/.f64 (.f64 x x) (/.f64 (+.f64 1/4 (.f64 -5/12 (.f64 x (fma.f64 -5/12 x 1/2)))) (+.f64 (.f64 (pow.f64 x 3) -125/1728) -1/8)))
(.f64 (/.f64 (.f64 x x) (fma.f64 -5/12 (*.f64 x (fma.f64 x -5/12 1/2)) 1/4)) (fma.f64 (pow.f64 x 3) -125/1728 -1/8))
(.f64 (/.f64 (fma.f64 (pow.f64 x 3) -125/1728 -1/8) (/.f64 (fma.f64 -5/12 (.f64 x (fma.f64 x -5/12 1/2)) 1/4) x)) x)
(/.f64 1 (/.f64 (.f64 (.f64 x x) (fma.f64 -5/12 x 1/2)) (-.f64 (.f64 (pow.f64 x 6) 25/144) (.f64 (pow.f64 x 4) 1/4))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 25/144) (.f64 1/4 (pow.f64 x 4))) (.f64 (.f64 x x) (fma.f64 -5/12 x 1/2)))
(/.f64 (fma.f64 (pow.f64 x 6) 25/144 (.f64 -1/4 (pow.f64 x 4))) (.f64 x (*.f64 x (fma.f64 x -5/12 1/2))))
(/.f64 1 (/.f64 (+.f64 (.f64 (pow.f64 x 6) 25/144) (-.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (.f64 x (.f64 x -1/2)) (.f64 -5/12 (pow.f64 x 3))))) (+.f64 (pow.f64 (.f64 -5/12 (pow.f64 x 3)) 3) (pow.f64 (.f64 x (*.f64 x -1/2)) 3))))
(/.f64 (+.f64 (pow.f64 (.f64 -5/12 (pow.f64 x 3)) 3) (pow.f64 (.f64 -1/2 (.f64 x x)) 3)) (fma.f64 (pow.f64 x 6) 25/144 (-.f64 (.f64 1/4 (pow.f64 x 4)) (.f64 x (.f64 (.f64 -1/2 x) (.f64 -5/12 (pow.f64 x 3)))))))
(/.f64 (fma.f64 -125/1728 (pow.f64 (pow.f64 x 3) 3) (.f64 -1/8 (pow.f64 (.f64 x x) 3))) (-.f64 (fma.f64 1/4 (pow.f64 x 4) (.f64 (pow.f64 x 6) 25/144)) (.f64 (pow.f64 x 3) (.f64 (.f64 x x) 5/24))))
(/.f64 (fma.f64 -125/1728 (pow.f64 (pow.f64 x 3) 3) (.f64 -1/8 (pow.f64 (.f64 x x) 3))) (fma.f64 1/4 (pow.f64 x 4) (.f64 (.f64 -5/12 (pow.f64 x 3)) (.f64 x (.f64 x (fma.f64 x -5/12 1/2))))))
(/.f64 (+.f64 (pow.f64 (.f64 -5/12 x) 2) -1/4) (/.f64 (fma.f64 -5/12 x 1/2) (.f64 x x)))
(/.f64 x (/.f64 (fma.f64 -5/12 x 1/2) (.f64 x (+.f64 (pow.f64 (.f64 x -5/12) 2) -1/4))))
(/.f64 (.f64 x x) (/.f64 (fma.f64 x -5/12 1/2) (+.f64 (pow.f64 (.f64 x -5/12) 2) -1/4)))
(.f64 (/.f64 (.f64 x x) (fma.f64 x -5/12 1/2)) (+.f64 (.f64 (.f64 x x) 25/144) -1/4))
(/.f64 (+.f64 -1/8 (.f64 -125/1728 (pow.f64 x 3))) (/.f64 (+.f64 1/4 (.f64 (.f64 -5/12 x) (fma.f64 -5/12 x 1/2))) (.f64 x x)))
(/.f64 (.f64 x x) (/.f64 (+.f64 1/4 (.f64 -5/12 (.f64 x (fma.f64 -5/12 x 1/2)))) (+.f64 (.f64 (pow.f64 x 3) -125/1728) -1/8)))
(.f64 (/.f64 (.f64 x x) (fma.f64 -5/12 (*.f64 x (fma.f64 x -5/12 1/2)) 1/4)) (fma.f64 (pow.f64 x 3) -125/1728 -1/8))
(.f64 (/.f64 (fma.f64 (pow.f64 x 3) -125/1728 -1/8) (/.f64 (fma.f64 -5/12 (.f64 x (fma.f64 x -5/12 1/2)) 1/4) x)) x)
(/.f64 (.f64 (.f64 x x) (+.f64 (pow.f64 (*.f64 -5/12 x) 2) -1/4)) (fma.f64 -5/12 x 1/2))
(/.f64 x (/.f64 (fma.f64 -5/12 x 1/2) (.f64 x (+.f64 (pow.f64 (.f64 x -5/12) 2) -1/4))))
(/.f64 (.f64 x x) (/.f64 (fma.f64 x -5/12 1/2) (+.f64 (pow.f64 (.f64 x -5/12) 2) -1/4)))
(.f64 (/.f64 (.f64 x x) (fma.f64 x -5/12 1/2)) (+.f64 (.f64 (.f64 x x) 25/144) -1/4))
(/.f64 (.f64 (.f64 x x) (+.f64 -1/8 (.f64 -125/1728 (pow.f64 x 3)))) (+.f64 1/4 (.f64 (*.f64 -5/12 x) (fma.f64 -5/12 x 1/2))))
(/.f64 (.f64 x x) (/.f64 (+.f64 1/4 (.f64 -5/12 (.f64 x (fma.f64 -5/12 x 1/2)))) (+.f64 (.f64 (pow.f64 x 3) -125/1728) -1/8)))
(.f64 (/.f64 (.f64 x x) (fma.f64 -5/12 (*.f64 x (fma.f64 x -5/12 1/2)) 1/4)) (fma.f64 (pow.f64 x 3) -125/1728 -1/8))
(.f64 (/.f64 (fma.f64 (pow.f64 x 3) -125/1728 -1/8) (/.f64 (fma.f64 -5/12 (.f64 x (fma.f64 x -5/12 1/2)) 1/4) x)) x)
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 25/144) (.f64 (pow.f64 x 4) 1/4)) (.f64 (.f64 x x) (fma.f64 -5/12 x 1/2)))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 25/144) (.f64 1/4 (pow.f64 x 4))) (.f64 (.f64 x x) (fma.f64 -5/12 x 1/2)))
(/.f64 (fma.f64 (pow.f64 x 6) 25/144 (.f64 -1/4 (pow.f64 x 4))) (.f64 x (*.f64 x (fma.f64 x -5/12 1/2))))
(/.f64 (+.f64 (pow.f64 (.f64 -5/12 (pow.f64 x 3)) 3) (pow.f64 (.f64 x (.f64 x -1/2)) 3)) (+.f64 (.f64 (pow.f64 x 6) 25/144) (-.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (.f64 x (.f64 x -1/2)) (*.f64 -5/12 (pow.f64 x 3))))))
(/.f64 (+.f64 (pow.f64 (.f64 -5/12 (pow.f64 x 3)) 3) (pow.f64 (.f64 -1/2 (.f64 x x)) 3)) (fma.f64 (pow.f64 x 6) 25/144 (-.f64 (.f64 1/4 (pow.f64 x 4)) (.f64 x (.f64 (.f64 -1/2 x) (.f64 -5/12 (pow.f64 x 3)))))))
(/.f64 (fma.f64 -125/1728 (pow.f64 (pow.f64 x 3) 3) (.f64 -1/8 (pow.f64 (.f64 x x) 3))) (-.f64 (fma.f64 1/4 (pow.f64 x 4) (.f64 (pow.f64 x 6) 25/144)) (.f64 (pow.f64 x 3) (.f64 (.f64 x x) 5/24))))
(/.f64 (fma.f64 -125/1728 (pow.f64 (pow.f64 x 3) 3) (.f64 -1/8 (pow.f64 (.f64 x x) 3))) (fma.f64 1/4 (pow.f64 x 4) (.f64 (.f64 -5/12 (pow.f64 x 3)) (.f64 x (.f64 x (fma.f64 x -5/12 1/2))))))
(/.f64 (+.f64 (pow.f64 (.f64 -5/12 (pow.f64 x 3)) 3) (pow.f64 (.f64 x (.f64 x -1/2)) 3)) (+.f64 (.f64 (pow.f64 x 4) 1/4) (-.f64 (.f64 (pow.f64 x 6) 25/144) (.f64 (.f64 x (.f64 x -1/2)) (*.f64 -5/12 (pow.f64 x 3))))))
(/.f64 (+.f64 (pow.f64 (.f64 -5/12 (pow.f64 x 3)) 3) (pow.f64 (.f64 -1/2 (.f64 x x)) 3)) (fma.f64 (pow.f64 x 6) 25/144 (-.f64 (.f64 1/4 (pow.f64 x 4)) (.f64 x (.f64 (.f64 -1/2 x) (.f64 -5/12 (pow.f64 x 3)))))))
(/.f64 (fma.f64 -125/1728 (pow.f64 (pow.f64 x 3) 3) (.f64 -1/8 (pow.f64 (.f64 x x) 3))) (-.f64 (fma.f64 1/4 (pow.f64 x 4) (.f64 (pow.f64 x 6) 25/144)) (.f64 (pow.f64 x 3) (.f64 (.f64 x x) 5/24))))
(/.f64 (fma.f64 -125/1728 (pow.f64 (pow.f64 x 3) 3) (.f64 -1/8 (pow.f64 (.f64 x x) 3))) (fma.f64 1/4 (pow.f64 x 4) (.f64 (.f64 -5/12 (pow.f64 x 3)) (.f64 x (.f64 x (fma.f64 x -5/12 1/2))))))
(/.f64 (.f64 x (.f64 x (+.f64 (pow.f64 (*.f64 -5/12 x) 2) -1/4))) (fma.f64 -5/12 x 1/2))
(/.f64 x (/.f64 (fma.f64 -5/12 x 1/2) (.f64 x (+.f64 (pow.f64 (.f64 x -5/12) 2) -1/4))))
(/.f64 (.f64 x x) (/.f64 (fma.f64 x -5/12 1/2) (+.f64 (pow.f64 (.f64 x -5/12) 2) -1/4)))
(.f64 (/.f64 (.f64 x x) (fma.f64 x -5/12 1/2)) (+.f64 (.f64 (.f64 x x) 25/144) -1/4))
(/.f64 (.f64 x (.f64 x (+.f64 -1/8 (.f64 -125/1728 (pow.f64 x 3))))) (+.f64 1/4 (.f64 (*.f64 -5/12 x) (fma.f64 -5/12 x 1/2))))
(/.f64 (.f64 x x) (/.f64 (+.f64 1/4 (.f64 -5/12 (.f64 x (fma.f64 -5/12 x 1/2)))) (+.f64 (.f64 (pow.f64 x 3) -125/1728) -1/8)))
(.f64 (/.f64 (.f64 x x) (fma.f64 -5/12 (*.f64 x (fma.f64 x -5/12 1/2)) 1/4)) (fma.f64 (pow.f64 x 3) -125/1728 -1/8))
(.f64 (/.f64 (fma.f64 (pow.f64 x 3) -125/1728 -1/8) (/.f64 (fma.f64 -5/12 (.f64 x (fma.f64 x -5/12 1/2)) 1/4) x)) x)
(/.f64 (.f64 (.f64 x x) (-.f64 1/4 (pow.f64 (.f64 -5/12 x) 2))) (+.f64 -1/2 (.f64 x 5/12)))
(/.f64 (-.f64 1/4 (pow.f64 (.f64 x -5/12) 2)) (/.f64 (fma.f64 x 5/12 -1/2) (.f64 x x)))
(.f64 (/.f64 (.f64 x x) (fma.f64 x 5/12 -1/2)) (-.f64 1/4 (pow.f64 (*.f64 x -5/12) 2)))
(/.f64 (+.f64 1/4 (.f64 -25/144 (.f64 x x))) (/.f64 (fma.f64 x 5/12 -1/2) (*.f64 x x)))
(/.f64 (.f64 (.f64 x x) (neg.f64 (+.f64 (pow.f64 (.f64 -5/12 x) 2) -1/4))) (+.f64 (.f64 x 5/12) -1/2))
(/.f64 (-.f64 1/4 (pow.f64 (.f64 x -5/12) 2)) (/.f64 (fma.f64 x 5/12 -1/2) (.f64 x x)))
(.f64 (/.f64 (.f64 x x) (fma.f64 x 5/12 -1/2)) (-.f64 1/4 (pow.f64 (*.f64 x -5/12) 2)))
(/.f64 (+.f64 1/4 (.f64 -25/144 (.f64 x x))) (/.f64 (fma.f64 x 5/12 -1/2) (*.f64 x x)))
(/.f64 (.f64 (.f64 x x) (+.f64 1/8 (neg.f64 (.f64 -125/1728 (pow.f64 x 3))))) (neg.f64 (+.f64 1/4 (.f64 (*.f64 -5/12 x) (fma.f64 -5/12 x 1/2)))))
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(.f64 (/.f64 (fma.f64 (pow.f64 x 3) -125/1728 -1/8) (/.f64 (fma.f64 -5/12 (.f64 x (fma.f64 x -5/12 1/2)) 1/4) x)) x)
(/.f64 (-.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (pow.f64 x 6) 25/144)) (-.f64 (.f64 x (.f64 x -1/2)) (*.f64 -5/12 (pow.f64 x 3))))
(/.f64 (-.f64 (.f64 1/4 (pow.f64 x 4)) (.f64 (pow.f64 x 6) 25/144)) (+.f64 (.f64 -1/2 (.f64 x x)) (*.f64 5/12 (pow.f64 x 3))))
(/.f64 (fma.f64 1/4 (pow.f64 x 4) (.f64 (pow.f64 x 6) -25/144)) (fma.f64 -1/2 (.f64 x x) (*.f64 (pow.f64 x 3) 5/12)))
(/.f64 (fma.f64 1/4 (pow.f64 x 4) (.f64 (pow.f64 x 6) -25/144)) (.f64 (*.f64 x x) (fma.f64 x 5/12 -1/2)))
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x (fma.f64 -5/12 x -1/2))))) (exp.f64 (log1p.f64 (.f64 x (.f64 x (fma.f64 -5/12 x -1/2)))))) 1) (+.f64 (exp.f64 (log1p.f64 (.f64 x (*.f64 x (fma.f64 -5/12 x -1/2))))) 1))
(/.f64 (.f64 (+.f64 1 (exp.f64 (log1p.f64 (.f64 x (.f64 x (fma.f64 -5/12 x -1/2)))))) (.f64 x (.f64 x (fma.f64 -5/12 x -1/2)))) (+.f64 1 (exp.f64 (log1p.f64 (.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)))))))
(/.f64 (expm1.f64 (.f64 2 (log1p.f64 (.f64 x (.f64 x (fma.f64 x -5/12 -1/2)))))) (+.f64 1 (exp.f64 (log1p.f64 (.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))))))
(/.f64 (expm1.f64 (.f64 2 (log1p.f64 (.f64 (fma.f64 x -5/12 -1/2) (.f64 x x))))) (+.f64 1 (exp.f64 (log1p.f64 (.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x))))))
(pow.f64 (.f64 x (.f64 x (fma.f64 -5/12 x -1/2))) 1)
(fma.f64 -1/2 (.f64 x x) (.f64 -5/12 (pow.f64 x 3)))
(.f64 x (.f64 x (fma.f64 x -5/12 -1/2)))
(.f64 (fma.f64 x -5/12 -1/2) (.f64 x x))
(pow.f64 (*.f64 x (sqrt.f64 (fma.f64 -5/12 x -1/2))) 2)
(pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2))) 2)
(pow.f64 (cbrt.f64 (.f64 x (.f64 x (fma.f64 -5/12 x -1/2)))) 3)
(fma.f64 -1/2 (.f64 x x) (.f64 -5/12 (pow.f64 x 3)))
(.f64 x (.f64 x (fma.f64 x -5/12 -1/2)))
(.f64 (fma.f64 x -5/12 -1/2) (.f64 x x))
(pow.f64 (pow.f64 (.f64 x (.f64 x (fma.f64 -5/12 x -1/2))) 3) 1/3)
(fma.f64 -1/2 (.f64 x x) (.f64 -5/12 (pow.f64 x 3)))
(.f64 x (.f64 x (fma.f64 x -5/12 -1/2)))
(.f64 (fma.f64 x -5/12 -1/2) (.f64 x x))
(sqrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 -5/12 x -1/2))) 4))
(sqrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2))) 4))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) (fma.f64 -5/12 x -1/2)))
(*.f64 (fma.f64 -5/12 x -1/2) (log.f64 (pow.f64 (exp.f64 x) x)))
(.f64 (fma.f64 x -5/12 -1/2) (.f64 x (log.f64 (exp.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x (fma.f64 -5/12 x -1/2))))))
(fma.f64 -1/2 (.f64 x x) (.f64 -5/12 (pow.f64 x 3)))
(.f64 x (.f64 x (fma.f64 x -5/12 -1/2)))
(.f64 (fma.f64 x -5/12 -1/2) (.f64 x x))
(cbrt.f64 (pow.f64 (.f64 x (.f64 x (fma.f64 -5/12 x -1/2))) 3))
(fma.f64 -1/2 (.f64 x x) (.f64 -5/12 (pow.f64 x 3)))
(.f64 x (.f64 x (fma.f64 x -5/12 -1/2)))
(.f64 (fma.f64 x -5/12 -1/2) (.f64 x x))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 -5/12 x -1/2) 3) (pow.f64 x 6)))
(fma.f64 -1/2 (.f64 x x) (.f64 -5/12 (pow.f64 x 3)))
(.f64 x (.f64 x (fma.f64 x -5/12 -1/2)))
(.f64 (fma.f64 x -5/12 -1/2) (.f64 x x))
(expm1.f64 (log1p.f64 (.f64 x (.f64 x (fma.f64 -5/12 x -1/2)))))
(fma.f64 -1/2 (.f64 x x) (.f64 -5/12 (pow.f64 x 3)))
(.f64 x (.f64 x (fma.f64 x -5/12 -1/2)))
(.f64 (fma.f64 x -5/12 -1/2) (.f64 x x))
(exp.f64 (log.f64 (.f64 x (.f64 x (fma.f64 -5/12 x -1/2)))))
(fma.f64 -1/2 (.f64 x x) (.f64 -5/12 (pow.f64 x 3)))
(.f64 x (.f64 x (fma.f64 x -5/12 -1/2)))
(.f64 (fma.f64 x -5/12 -1/2) (.f64 x x))
(log1p.f64 (expm1.f64 (.f64 x (.f64 x (fma.f64 -5/12 x -1/2)))))
(fma.f64 -1/2 (.f64 x x) (.f64 -5/12 (pow.f64 x 3)))
(.f64 x (.f64 x (fma.f64 x -5/12 -1/2)))
(.f64 (fma.f64 x -5/12 -1/2) (.f64 x x))
(fma.f64 (.f64 -5/12 x) (.f64 x x) (.f64 x (.f64 x -1/2)))
(fma.f64 -1/2 (.f64 x x) (.f64 -5/12 (pow.f64 x 3)))
(.f64 x (.f64 x (fma.f64 x -5/12 -1/2)))
(.f64 (fma.f64 x -5/12 -1/2) (.f64 x x))
(fma.f64 (.f64 x x) (.f64 -5/12 x) (.f64 x (.f64 x -1/2)))
(fma.f64 -1/2 (.f64 x x) (.f64 -5/12 (pow.f64 x 3)))
(.f64 x (.f64 x (fma.f64 x -5/12 -1/2)))
(.f64 (fma.f64 x -5/12 -1/2) (.f64 x x))

eval60.0ms (0.6%)

Compiler: Compiled 3009 to 2216 computations (26.4% saved)

prune18.0ms (0.2%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	128	0	128
Fresh	0	1	1
Picked	0	1	1
Done	0	4	4
Total	128	6	134

Error

Counts

134 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
✓	0.1b	(-.f64 (-.f64 (.f64 (.f64 x x) (+.f64 (*.f64 -5/12 x) -1/2)) x) 1)
✓	0.2b	(-.f64 (-.f64 (.f64 x (.f64 x -1/2)) x) 1)
✓	0.5b	(-.f64 -1 x)
✓	0.2b	(+.f64 (-.f64 -1 x) (.f64 -1/2 (.f64 x x)))
	1.6b	-1

Compiler

Compiled 47 to 34 computations (27.7% saved)

regimes14.0ms (0.1%)

Counts

13 → 1

Calls

Call 1

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

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

Calls

2 calls:

7.0ms	x
3.0ms	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))

Results

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

Compiler

Compiled 133 to 88 computations (33.8% saved)

regimes8.0ms (0.1%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

1 calls:

6.0ms

Results

Error	Segments	Branch
0.1b	1	`x`

Compiler

Compiled 83 to 54 computations (34.9% saved)

regimes4.0ms (0%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
0.2b	1	`x`

Compiler

Compiled 25 to 17 computations (32% saved)

regimes5.0ms (0%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Error	Segments	Branch
0.2b	1	`x`

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes3.0ms (0%)

Accuracy

Total -1.1b remaining (-201.5%)

Threshold costs -1.1b (-201.5%)

Counts

2 → 1

Calls

Call 1

Inputs
-1
(-.f64 -1 x)

Outputs
(-.f64 -1 x)

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
0.5b	1	`x`

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

16×	`+-commutative`
12×	`sub-neg`
12×	`*-commutative`
2×	`1-exp`
2×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	114
1	42	114
2	49	114
3	50	114

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 47 to 34 computations (27.7% saved)

soundness269.0ms (2.5%)

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)

end339.0ms (3.2%)

Compiler: Compiled 42 to 28 computations (33.3% saved)

Details

analyze581.0ms (5.5%)

sample5.6s (53%)

preprocess8.0ms (0.1%)

simplify13.0ms (0.1%)

eval1.0ms (0%)

prune1.0ms (0%)

localize13.0ms (0.1%)

series5.0ms (0%)

rewrite84.0ms (0.8%)

simplify127.0ms (1.2%)

localize6.0ms (0.1%)

series1.0ms (0%)

rewrite53.0ms (0.5%)

simplify61.0ms (0.6%)

eval165.0ms (1.6%)

prune48.0ms (0.4%)

localize27.0ms (0.3%)

series2.0ms (0%)

rewrite94.0ms (0.9%)

simplify137.0ms (1.3%)

localize2.0ms (0%)

localize8.0ms (0.1%)

series0.0ms (0%)

rewrite59.0ms (0.6%)

simplify53.0ms (0.5%)

localize10.0ms (0.1%)

localize8.0ms (0.1%)

series3.0ms (0%)

rewrite55.0ms (0.5%)

simplify332.0ms (3.1%)

eval608.0ms (5.7%)

prune62.0ms (0.6%)

localize39.0ms (0.4%)

series4.0ms (0%)

rewrite114.0ms (1.1%)

simplify169.0ms (1.6%)

localize9.0ms (0.1%)

series0.0ms (0%)

rewrite93.0ms (0.9%)

simplify90.0ms (0.8%)

localize44.0ms (0.4%)

localize26.0ms (0.2%)

series2.0ms (0%)

rewrite83.0ms (0.8%)

simplify96.0ms (0.9%)

eval540.0ms (5.1%)

prune160.0ms (1.5%)

localize16.0ms (0.2%)

series2.0ms (0%)

rewrite68.0ms (0.6%)

simplify64.0ms (0.6%)

eval60.0ms (0.6%)

prune18.0ms (0.2%)

regimes14.0ms (0.1%)

regimes8.0ms (0.1%)

regimes4.0ms (0%)

regimes5.0ms (0%)

regimes3.0ms (0%)

simplify6.0ms (0.1%)

soundness269.0ms (2.5%)

end339.0ms (3.2%)

Profiling