Details

analyze398.0ms (2.7%)

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)

sample5.4s (36.1%)

Results

3.6s	4147×	body	1024	valid
954.0ms	2055×	body	512	valid
510.0ms	417×	body	2048	valid
262.0ms	1637×	body	256	valid

Bogosity

preprocess6.0ms (0%)

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)

simplify20.0ms (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)

prune2.0ms (0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

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

Error

0.0b

Counts

4 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
▶	59.5b	(/.f64 (log.f64 (-.f64 1 x)) (log1p.f64 x))
▶	60.8b	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))

Compiler

Compiled 25 to 19 computations (24% saved)

localize14.0ms (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))
✓	5.5b	(log.f64 (+.f64 1 x))

Compiler

Compiled 26 to 19 computations (26.9% saved)

series5.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite102.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 125

Calls

Call 1

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

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

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

simplify102.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

161 → 268

Calls

Call 1

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

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

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (log.f64 (-.f64 1 x)) (log1p.f64 x))
	5.5b	(log.f64 (-.f64 1 x))

Compiler

Compiled 19 to 12 computations (36.8% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite108.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1842×	`add-sqr-sqrt`
1826×	`*-un-lft-identity`
1700×	`add-cube-cbrt`
1680×	`add-cbrt-cube`
178×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	181	19
2	2272	19

Stop Event

1×	node limit

Counts

1 → 32

Calls

Call 1

Inputs
(/.f64 (log.f64 (-.f64 1 x)) (log1p.f64 x))

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

Outputs

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

simplify58.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1292×	`associate-/r*`
886×	`associate-*r/`
826×	`associate-/l*`
634×	`associate-+l+`
588×	`associate--r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	200	3174
1	603	2930
2	2350	2878

Stop Event

1×	node limit

Counts

44 → 81

Calls

Call 1

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

localize9.0ms (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
0.0ms	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))

rewrite65.0ms (0.4%)

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))))))))

simplify56.0ms (0.4%)

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

eval253.0ms (1.7%)

Compiler: Compiled 14567 to 9904 computations (32% saved)

prune67.0ms (0.4%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	499	7	506
Fresh	0	0	0
Picked	0	1	1
Done	1	1	2
Total	500	9	509

Error

Counts

509 → 9

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.8b	(fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x))
✓	0.0b	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
✓	59.5b	(/.f64 (log.f64 (-.f64 1 x)) (log1p.f64 x))
▶	60.5b	(/.f64 (log.f64 (-.f64 1 x)) x)
▶	0.8b	(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
▶	1.0b	(-.f64 -1 x)
▶	0.8b	(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
	30.0b	(*.f64 (/.f64 (sqrt.f64 (log1p.f64 (neg.f64 x))) (log1p.f64 x)) (sqrt.f64 (log1p.f64 (neg.f64 x))))
	1.8b	-1

Compiler

Compiled 121 to 81 computations (33.1% saved)

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 25 to 11 computations (56% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite68.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

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

Outputs

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

simplify57.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

45 → 55

Calls

Call 1

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

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

localize3.0ms (0%)

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

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 16 to 11 computations (31.3% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite54.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1692×	`add-sqr-sqrt`
1676×	`*-un-lft-identity`
1562×	`add-cube-cbrt`
1544×	`add-cbrt-cube`
162×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	162	15
2	2074	15

Stop Event

1×	node limit

Counts

1 → 32

Calls

Call 1

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

Outputs

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

simplify57.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1256×	`associate-+l+`
1006×	`associate-+l-`
756×	`*-commutative`
652×	`associate-+r-`
584×	`associate-*r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	126	1086
1	319	1030
2	1083	1006
3	4515	1006

Stop Event

1×	node limit

Counts

44 → 80

Calls

Call 1

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

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

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 21 to 14 computations (33.3% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite84.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1938×	`add-sqr-sqrt`
1916×	`*-un-lft-identity`
1788×	`add-cube-cbrt`
1770×	`add-cbrt-cube`
186×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	190	21
2	2319	21

Stop Event

1×	node limit

Counts

1 → 39

Calls

Call 1

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

Outputs

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

simplify97.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

920×	`associate-+r-`
888×	`associate--r+`
834×	`associate-+l-`
822×	`fma-def`
786×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	113	1617
1	302	1537
2	1294	1389
3	5706	1389

Stop Event

1×	node limit

Counts

51 → 55

Calls

Call 1

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

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

localize7.0ms (0%)

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

rewrite55.0ms (0.4%)

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))))))))

simplify48.0ms (0.3%)

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)

eval162.0ms (1.1%)

Compiler: Compiled 4582 to 2849 computations (37.8% saved)

prune64.0ms (0.4%)

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	317	4	321
Fresh	0	2	2
Picked	1	0	1
Done	2	4	6
Total	320	10	330

Error

Counts

330 → 10

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.8b	(/.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)))
✓	0.0b	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
▶	1.7b	(/.f64 (log1p.f64 (neg.f64 x)) x)
✓	59.5b	(/.f64 (log.f64 (-.f64 1 x)) (log1p.f64 x))
▶	0.8b	(-.f64 (+.f64 (.f64 -1/2 (.f64 x x)) -1) x)
✓	1.0b	(-.f64 -1 x)
✓	0.8b	(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
▶	0.8b	(+.f64 (-.f64 -1 x) (.f64 -1/2 (.f64 x x)))
▶	30.0b	(*.f64 (/.f64 (sqrt.f64 (log1p.f64 (neg.f64 x))) (log1p.f64 x)) (sqrt.f64 (log1p.f64 (neg.f64 x))))
	1.8b	-1

Compiler

Compiled 161 to 105 computations (34.8% saved)

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 28 to 15 computations (46.4% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite90.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	206	21
2	2768	21

Stop Event

1×	node limit

Counts

1 → 125

Calls

Call 1

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

Outputs

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

simplify102.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1622×	`associate-*r/`
1212×	`+-commutative`
1160×	`associate-+l-`
780×	`associate-+r-`
718×	`associate--r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	329	8091
1	942	7241
2	4445	7229

Stop Event

1×	node limit

Counts

137 → 211

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 -1/2 (.f64 x x)) (-.f64 -1 x))
(+.f64 (.f64 -1/2 (.f64 x x)) (+.f64 (-.f64 -1 x) (fma.f64 (neg.f64 x) 1 x)))
(+.f64 (.f64 -1/2 (.f64 x x)) (+.f64 (-.f64 -1 x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 (.f64 -1/2 (.f64 x x)) (+.f64 (-.f64 -1 x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 -1 (.f64 x (-.f64 (.f64 -1/2 x) 1)))
(+.f64 -1 (+.f64 (.f64 x (-.f64 (.f64 -1/2 x) 1)) (fma.f64 (neg.f64 x) 1 x)))
(+.f64 -1 (+.f64 (.f64 x (-.f64 (.f64 -1/2 x) 1)) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 -1 (+.f64 (.f64 x (-.f64 (.f64 -1/2 x) 1)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 -1 (.f64 (.f64 x (-.f64 (*.f64 -1/2 x) 1)) 1))
(+.f64 (fma.f64 (*.f64 -1/2 x) x -1) (neg.f64 x))
(+.f64 (fma.f64 (*.f64 -1/2 x) x -1) (+.f64 (neg.f64 x) (fma.f64 (neg.f64 x) 1 x)))
(+.f64 (fma.f64 (*.f64 -1/2 x) x -1) (+.f64 (neg.f64 x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 (fma.f64 (*.f64 -1/2 x) x -1) (+.f64 (neg.f64 x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 (-.f64 (fma.f64 (*.f64 -1/2 x) x -1) x) (fma.f64 (neg.f64 x) 1 x))
(+.f64 (-.f64 (fma.f64 (*.f64 -1/2 x) x -1) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(+.f64 (-.f64 (fma.f64 (*.f64 -1/2 x) x -1) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(+.f64 (-.f64 (fma.f64 (*.f64 -1/2 x) x -1) x) (+.f64 (fma.f64 (neg.f64 x) 1 x) (fma.f64 (neg.f64 x) 1 x)))
(+.f64 (-.f64 (fma.f64 (*.f64 -1/2 x) x -1) x) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (fma.f64 (neg.f64 x) 1 x)))
(+.f64 (-.f64 (fma.f64 (*.f64 -1/2 x) x -1) x) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (fma.f64 (neg.f64 x) 1 x)))
(+.f64 (-.f64 (fma.f64 (*.f64 -1/2 x) x -1) x) (+.f64 (fma.f64 (neg.f64 x) 1 x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 (-.f64 (fma.f64 (*.f64 -1/2 x) x -1) x) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 (-.f64 (fma.f64 (*.f64 -1/2 x) x -1) x) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 (-.f64 (fma.f64 (*.f64 -1/2 x) x -1) x) (+.f64 (fma.f64 (neg.f64 x) 1 x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 (-.f64 (fma.f64 (*.f64 -1/2 x) x -1) x) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 (-.f64 (fma.f64 (*.f64 -1/2 x) x -1) x) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 (-.f64 (fma.f64 (.f64 -1/2 x) x -1) x) (.f64 1 (fma.f64 (neg.f64 x) 1 x)))
(+.f64 (-.f64 (fma.f64 (.f64 -1/2 x) x -1) x) (.f64 1 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 (-.f64 (fma.f64 (.f64 -1/2 x) x -1) x) (.f64 1 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 (-.f64 (fma.f64 (.f64 -1/2 x) x -1) x) (.f64 (fma.f64 (neg.f64 x) 1 x) 1))
(+.f64 (-.f64 (fma.f64 (.f64 -1/2 x) x -1) x) (.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) 1))
(+.f64 (-.f64 (fma.f64 (.f64 -1/2 x) x -1) x) (.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) 1))
(+.f64 (-.f64 -1 x) (.f64 -1/2 (.f64 x x)))
(+.f64 (-.f64 -1 x) (+.f64 (.f64 -1/2 (.f64 x x)) (fma.f64 (neg.f64 x) 1 x)))
(+.f64 (-.f64 -1 x) (+.f64 (.f64 -1/2 (.f64 x x)) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 (-.f64 -1 x) (+.f64 (.f64 -1/2 (.f64 x x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 (neg.f64 x) (fma.f64 (*.f64 -1/2 x) x -1))
(+.f64 (neg.f64 x) (+.f64 (fma.f64 (*.f64 -1/2 x) x -1) (fma.f64 (neg.f64 x) 1 x)))
(+.f64 (neg.f64 x) (+.f64 (fma.f64 (*.f64 -1/2 x) x -1) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 (neg.f64 x) (+.f64 (fma.f64 (*.f64 -1/2 x) x -1) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 (.f64 x (-.f64 (.f64 -1/2 x) 1)) -1)
(+.f64 (fma.f64 (neg.f64 x) 1 x) (-.f64 (fma.f64 (*.f64 -1/2 x) x -1) x))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (-.f64 (fma.f64 (*.f64 -1/2 x) x -1) x))
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(fma.f64 (*.f64 x x) -1/2 (-.f64 -1 x))
(fma.f64 1 (.f64 -1/2 (.f64 x x)) (-.f64 -1 x))
(fma.f64 1 (fma.f64 (*.f64 -1/2 x) x -1) (neg.f64 x))
(fma.f64 (sqrt.f64 (fma.f64 (.f64 -1/2 x) x -1)) (sqrt.f64 (fma.f64 (.f64 -1/2 x) x -1)) (neg.f64 x))
(fma.f64 (.f64 x (sqrt.f64 -1/2)) (.f64 x (sqrt.f64 -1/2)) (-.f64 -1 x))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 -1/2 x) x -1)) 2) (cbrt.f64 (fma.f64 (.f64 -1/2 x) x -1)) (neg.f64 x))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/4)) (cbrt.f64 (.f64 -1/2 (*.f64 x x))) (-.f64 -1 x))
(fma.f64 (*.f64 -1/2 x) x (-.f64 -1 x))

Outputs
-1
(-.f64 (*.f64 -1 x) 1)
(fma.f64 -1 x -1)
(-.f64 -1 x)
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(*.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)
(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)
(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)
(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)
(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)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(+.f64 (.f64 -1/2 (.f64 x x)) (+.f64 (-.f64 -1 x) (fma.f64 (neg.f64 x) 1 x)))
(+.f64 (-.f64 -1 x) (fma.f64 -1/2 (*.f64 x x) (fma.f64 (neg.f64 x) 1 x)))
(-.f64 (+.f64 (fma.f64 x (fma.f64 x -1/2 -1) -1) x) x)
(+.f64 x (-.f64 (fma.f64 x (fma.f64 x -1/2 -1) -1) x))
(+.f64 (.f64 -1/2 (.f64 x x)) (+.f64 (-.f64 -1 x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 (-.f64 -1 x) (fma.f64 -1/2 (*.f64 x x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (fma.f64 x (fma.f64 x -1/2 -1) -1))
(+.f64 (.f64 -1/2 (.f64 x x)) (+.f64 (-.f64 -1 x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 (-.f64 -1 x) (fma.f64 -1/2 (*.f64 x x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 -1 (fma.f64 x (fma.f64 x -1/2 -1) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 -1 (.f64 x (-.f64 (.f64 -1/2 x) 1)))
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(+.f64 -1 (+.f64 (.f64 x (-.f64 (.f64 -1/2 x) 1)) (fma.f64 (neg.f64 x) 1 x)))
(+.f64 (-.f64 -1 x) (fma.f64 -1/2 (*.f64 x x) (fma.f64 (neg.f64 x) 1 x)))
(-.f64 (+.f64 (fma.f64 x (fma.f64 x -1/2 -1) -1) x) x)
(+.f64 x (-.f64 (fma.f64 x (fma.f64 x -1/2 -1) -1) x))
(+.f64 -1 (+.f64 (.f64 x (-.f64 (.f64 -1/2 x) 1)) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 (-.f64 -1 x) (fma.f64 -1/2 (*.f64 x x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (fma.f64 x (fma.f64 x -1/2 -1) -1))
(+.f64 -1 (+.f64 (.f64 x (-.f64 (.f64 -1/2 x) 1)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 (-.f64 -1 x) (fma.f64 -1/2 (*.f64 x x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 -1 (fma.f64 x (fma.f64 x -1/2 -1) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 -1 (.f64 (.f64 x (-.f64 (*.f64 -1/2 x) 1)) 1))
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(+.f64 (fma.f64 (*.f64 -1/2 x) x -1) (neg.f64 x))
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(+.f64 (fma.f64 (*.f64 -1/2 x) x -1) (+.f64 (neg.f64 x) (fma.f64 (neg.f64 x) 1 x)))
(+.f64 (-.f64 -1 x) (fma.f64 -1/2 (*.f64 x x) (fma.f64 (neg.f64 x) 1 x)))
(-.f64 (+.f64 (fma.f64 x (fma.f64 x -1/2 -1) -1) x) x)
(+.f64 x (-.f64 (fma.f64 x (fma.f64 x -1/2 -1) -1) x))
(+.f64 (fma.f64 (*.f64 -1/2 x) x -1) (+.f64 (neg.f64 x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 (-.f64 -1 x) (fma.f64 -1/2 (*.f64 x x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (fma.f64 x (fma.f64 x -1/2 -1) -1))
(+.f64 (fma.f64 (*.f64 -1/2 x) x -1) (+.f64 (neg.f64 x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 (-.f64 -1 x) (fma.f64 -1/2 (*.f64 x x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 -1 (fma.f64 x (fma.f64 x -1/2 -1) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 (-.f64 (fma.f64 (*.f64 -1/2 x) x -1) x) (fma.f64 (neg.f64 x) 1 x))
(+.f64 (-.f64 -1 x) (fma.f64 -1/2 (*.f64 x x) (fma.f64 (neg.f64 x) 1 x)))
(-.f64 (+.f64 (fma.f64 x (fma.f64 x -1/2 -1) -1) x) x)
(+.f64 x (-.f64 (fma.f64 x (fma.f64 x -1/2 -1) -1) x))
(+.f64 (-.f64 (fma.f64 (*.f64 -1/2 x) x -1) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(+.f64 (-.f64 -1 x) (fma.f64 -1/2 (*.f64 x x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (fma.f64 x (fma.f64 x -1/2 -1) -1))
(+.f64 (-.f64 (fma.f64 (*.f64 -1/2 x) x -1) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(+.f64 (-.f64 -1 x) (fma.f64 -1/2 (*.f64 x x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 -1 (fma.f64 x (fma.f64 x -1/2 -1) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 (-.f64 (fma.f64 (*.f64 -1/2 x) x -1) x) (+.f64 (fma.f64 (neg.f64 x) 1 x) (fma.f64 (neg.f64 x) 1 x)))
(+.f64 (fma.f64 -1/2 (.f64 x x) (-.f64 -1 x)) (.f64 2 (fma.f64 (neg.f64 x) 1 x)))
(fma.f64 2 (+.f64 x (neg.f64 x)) (fma.f64 x (fma.f64 x -1/2 -1) -1))
(+.f64 (-.f64 (fma.f64 (*.f64 -1/2 x) x -1) x) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (fma.f64 (neg.f64 x) 1 x)))
(+.f64 (fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x)) (+.f64 (fma.f64 (neg.f64 x) 1 x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 (-.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) x) (+.f64 (fma.f64 x (fma.f64 x -1/2 -1) -1) x))
(+.f64 (fma.f64 x (fma.f64 x -1/2 -1) -1) (-.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (-.f64 x x)))
(+.f64 (-.f64 (fma.f64 (*.f64 -1/2 x) x -1) x) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (fma.f64 (neg.f64 x) 1 x)))
(+.f64 (fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x)) (+.f64 (fma.f64 (neg.f64 x) 1 x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (-.f64 (+.f64 (fma.f64 x (fma.f64 x -1/2 -1) -1) x) x))
(+.f64 (fma.f64 x (fma.f64 x -1/2 -1) -1) (-.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (-.f64 x x)))
(+.f64 (-.f64 (fma.f64 (*.f64 -1/2 x) x -1) x) (+.f64 (fma.f64 (neg.f64 x) 1 x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 (fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x)) (+.f64 (fma.f64 (neg.f64 x) 1 x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 (-.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) x) (+.f64 (fma.f64 x (fma.f64 x -1/2 -1) -1) x))
(+.f64 (fma.f64 x (fma.f64 x -1/2 -1) -1) (-.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (-.f64 x x)))
(+.f64 (-.f64 (fma.f64 (*.f64 -1/2 x) x -1) x) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 (fma.f64 -1/2 (.f64 x x) (-.f64 -1 x)) (.f64 2 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(fma.f64 2 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (fma.f64 x (fma.f64 x -1/2 -1) -1))
(+.f64 (-.f64 (fma.f64 (*.f64 -1/2 x) x -1) x) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 (fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (+.f64 -1 (fma.f64 x (fma.f64 x -1/2 -1) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (fma.f64 x (fma.f64 x -1/2 -1) -1)))
(+.f64 (-.f64 (fma.f64 (*.f64 -1/2 x) x -1) x) (+.f64 (fma.f64 (neg.f64 x) 1 x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 (fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x)) (+.f64 (fma.f64 (neg.f64 x) 1 x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (-.f64 (+.f64 (fma.f64 x (fma.f64 x -1/2 -1) -1) x) x))
(+.f64 (fma.f64 x (fma.f64 x -1/2 -1) -1) (-.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (-.f64 x x)))
(+.f64 (-.f64 (fma.f64 (*.f64 -1/2 x) x -1) x) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 (fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (+.f64 -1 (fma.f64 x (fma.f64 x -1/2 -1) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (fma.f64 x (fma.f64 x -1/2 -1) -1)))
(+.f64 (-.f64 (fma.f64 (*.f64 -1/2 x) x -1) x) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 (fma.f64 -1/2 (.f64 x x) (-.f64 -1 x)) (.f64 2 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(fma.f64 2 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (fma.f64 x (fma.f64 x -1/2 -1) -1))
(+.f64 (-.f64 (fma.f64 (.f64 -1/2 x) x -1) x) (.f64 1 (fma.f64 (neg.f64 x) 1 x)))
(+.f64 (-.f64 -1 x) (fma.f64 -1/2 (*.f64 x x) (fma.f64 (neg.f64 x) 1 x)))
(-.f64 (+.f64 (fma.f64 x (fma.f64 x -1/2 -1) -1) x) x)
(+.f64 x (-.f64 (fma.f64 x (fma.f64 x -1/2 -1) -1) x))
(+.f64 (-.f64 (fma.f64 (.f64 -1/2 x) x -1) x) (.f64 1 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 (-.f64 -1 x) (fma.f64 -1/2 (*.f64 x x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (fma.f64 x (fma.f64 x -1/2 -1) -1))
(+.f64 (-.f64 (fma.f64 (.f64 -1/2 x) x -1) x) (.f64 1 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 (-.f64 -1 x) (fma.f64 -1/2 (*.f64 x x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 -1 (fma.f64 x (fma.f64 x -1/2 -1) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 (-.f64 (fma.f64 (.f64 -1/2 x) x -1) x) (.f64 (fma.f64 (neg.f64 x) 1 x) 1))
(+.f64 (-.f64 -1 x) (fma.f64 -1/2 (*.f64 x x) (fma.f64 (neg.f64 x) 1 x)))
(-.f64 (+.f64 (fma.f64 x (fma.f64 x -1/2 -1) -1) x) x)
(+.f64 x (-.f64 (fma.f64 x (fma.f64 x -1/2 -1) -1) x))
(+.f64 (-.f64 (fma.f64 (.f64 -1/2 x) x -1) x) (.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) 1))
(+.f64 (-.f64 -1 x) (fma.f64 -1/2 (*.f64 x x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (fma.f64 x (fma.f64 x -1/2 -1) -1))
(+.f64 (-.f64 (fma.f64 (.f64 -1/2 x) x -1) x) (.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) 1))
(+.f64 (-.f64 -1 x) (fma.f64 -1/2 (*.f64 x x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 -1 (fma.f64 x (fma.f64 x -1/2 -1) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 (-.f64 -1 x) (.f64 -1/2 (.f64 x x)))
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(+.f64 (-.f64 -1 x) (+.f64 (.f64 -1/2 (.f64 x x)) (fma.f64 (neg.f64 x) 1 x)))
(+.f64 (-.f64 -1 x) (fma.f64 -1/2 (*.f64 x x) (fma.f64 (neg.f64 x) 1 x)))
(-.f64 (+.f64 (fma.f64 x (fma.f64 x -1/2 -1) -1) x) x)
(+.f64 x (-.f64 (fma.f64 x (fma.f64 x -1/2 -1) -1) x))
(+.f64 (-.f64 -1 x) (+.f64 (.f64 -1/2 (.f64 x x)) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 (-.f64 -1 x) (fma.f64 -1/2 (*.f64 x x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (fma.f64 x (fma.f64 x -1/2 -1) -1))
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(fma.f64 1 (.f64 -1/2 (.f64 x x)) (-.f64 -1 x))
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(fma.f64 1 (fma.f64 (*.f64 -1/2 x) x -1) (neg.f64 x))
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(fma.f64 (sqrt.f64 (fma.f64 (.f64 -1/2 x) x -1)) (sqrt.f64 (fma.f64 (.f64 -1/2 x) x -1)) (neg.f64 x))
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(fma.f64 (.f64 x (sqrt.f64 -1/2)) (.f64 x (sqrt.f64 -1/2)) (-.f64 -1 x))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 -1/2 x) x -1)) 2) (cbrt.f64 (fma.f64 (.f64 -1/2 x) x -1)) (neg.f64 x))
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/4)) (cbrt.f64 (.f64 -1/2 (*.f64 x x))) (-.f64 -1 x))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/4)) (cbrt.f64 (.f64 x (*.f64 x -1/2))) (-.f64 -1 x))
(fma.f64 (*.f64 -1/2 x) x (-.f64 -1 x))
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(fma.f64 x (fma.f64 x -1/2 -1) -1)

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	@	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)))
0.0ms	x	@	-inf	(+.f64 (-.f64 -1 x) (.f64 -1/2 (.f64 x x)))

rewrite70.0ms (0.5%)

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

simplify95.0ms (0.6%)

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

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 12 to 4 computations (66.7% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite49.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1276×	`add-sqr-sqrt`
1264×	`*-un-lft-identity`
1176×	`add-cube-cbrt`
1160×	`add-cbrt-cube`
1146×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	144	11
2	1876	11

Stop Event

1×	node limit

Counts

1 → 30

Calls

Call 1

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

Outputs

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

simplify55.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1476×	`associate-r`
1204×	`associate-+r+`
1194×	`associate-l`
1152×	`associate-+l+`
596×	`associate-+r-`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	117	1240
1	305	1034
2	1184	860
3	6022	860

Stop Event

1×	node limit

Counts

42 → 80

Calls

Call 1

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

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

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 87 to 42 computations (51.7% saved)

series3.0ms (0%)

Counts

4 → 48

Calls

12 calls:

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

rewrite116.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1600×	`associate-/r/`
1054×	`associate-/l/`
376×	`add-sqr-sqrt`
362×	`*-un-lft-identity`
360×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	118
1	376	62
2	5376	62

Stop Event

1×	node limit

Counts

4 → 281

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 x 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (cbrt.f64 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 x 4) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 x x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 x 4) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 x 4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x 4)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (neg.f64 (neg.f64 x)) (.f64 (neg.f64 x) (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x 1) (.f64 (neg.f64 x) (-.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (-.f64 -1 x) -1) (.f64 (-.f64 -1 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (-.f64 -1 x) (neg.f64 x)) (.f64 (-.f64 -1 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (neg.f64 x) (-.f64 -1 x)) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (-.f64 -1 x) (.f64 (neg.f64 x) (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (-.f64 -1 x) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 -1 x) (-.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (-.f64 -1 x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (-.f64 -1 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 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simplify134.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1596×	`distribute-lft-in`
1516×	`associate-l`
1126×	`associate-/r*`
998×	`associate-/l*`
880×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	709	19377
1	2383	18915

Stop Event

1×	node limit

Counts

329 → 445

Calls

Call 1

Inputs
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
1
(+.f64 (*.f64 2 x) 1)
(+.f64 (*.f64 2 x) (+.f64 1 (pow.f64 x 2)))
(+.f64 (*.f64 2 x) (+.f64 1 (pow.f64 x 2)))
(pow.f64 x 2)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (+.f64 1 (pow.f64 x 2)))
(+.f64 (*.f64 2 x) (+.f64 1 (pow.f64 x 2)))
(pow.f64 x 2)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (+.f64 1 (pow.f64 x 2)))
(+.f64 (*.f64 2 x) (+.f64 1 (pow.f64 x 2)))
-1
(-.f64 (*.f64 -1 x) 1)
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x))
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x))
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)
1
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) x))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) x))
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) x))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) x))
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) x))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) x))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x 4))) 1)
(pow.f64 x 4)
(pow.f64 (*.f64 x x) 2)
(pow.f64 (pow.f64 x 4) 1)
(pow.f64 (*.f64 x (cbrt.f64 x)) 3)
(pow.f64 (pow.f64 (pow.f64 x 4) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 x x) 4))
(log.f64 (exp.f64 (pow.f64 x 4)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 x 4))))
(cbrt.f64 (pow.f64 (pow.f64 x 4) 3))
(expm1.f64 (log1p.f64 (pow.f64 x 4)))
(exp.f64 (log.f64 (pow.f64 x 4)))
(exp.f64 (.f64 (log.f64 (.f64 x x)) 2))
(exp.f64 (*.f64 (log.f64 (pow.f64 x 4)) 1))
(log1p.f64 (expm1.f64 (pow.f64 x 4)))
(+.f64 1 (+.f64 (neg.f64 (neg.f64 x)) (*.f64 (neg.f64 x) (-.f64 -1 x))))
(+.f64 (+.f64 x 1) (*.f64 (neg.f64 x) (-.f64 -1 x)))
(+.f64 (.f64 (-.f64 -1 x) -1) (.f64 (-.f64 -1 x) (neg.f64 x)))
(+.f64 (.f64 (-.f64 -1 x) (neg.f64 x)) (.f64 (-.f64 -1 x) -1))
(+.f64 (*.f64 (neg.f64 x) (-.f64 -1 x)) (+.f64 x 1))
(-.f64 0 (-.f64 (-.f64 -1 x) (*.f64 (neg.f64 x) (-.f64 -1 x))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (-.f64 -1 x) 2))) 1)
(*.f64 (-.f64 -1 x) (-.f64 -1 x))
(*.f64 (pow.f64 (-.f64 -1 x) 2) 1)
(*.f64 1 (pow.f64 (-.f64 -1 x) 2))
(.f64 (sqrt.f64 (-.f64 -1 x)) (.f64 (sqrt.f64 (-.f64 -1 x)) (-.f64 -1 x)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) (cbrt.f64 (pow.f64 (-.f64 -1 x) 4)))
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(.f64 (/.f64 (-.f64 (.f64 (pow.f64 x 4) 1/4) (pow.f64 (-.f64 -1 x) 2)) (neg.f64 (-.f64 (.f64 (pow.f64 x 4) 1/4) (pow.f64 (-.f64 -1 x) 2)))) (-.f64 (neg.f64 x) (fma.f64 (.f64 x x) -1/2 1)))
(.f64 (/.f64 (-.f64 (.f64 (pow.f64 x 4) 1/4) (pow.f64 (-.f64 -1 x) 2)) (.f64 (-.f64 (.f64 (pow.f64 (.f64 x x) 4) 1/16) (pow.f64 (-.f64 -1 x) 4)) (/.f64 1 (+.f64 x (fma.f64 (.f64 x x) -1/2 1))))) (fma.f64 (pow.f64 x 4) 1/4 (pow.f64 (-.f64 -1 x) 2)))
(.f64 (/.f64 (-.f64 (.f64 (pow.f64 x 4) 1/4) (pow.f64 (-.f64 -1 x) 2)) (.f64 (-.f64 (.f64 (pow.f64 (pow.f64 x 4) 3) 1/64) (pow.f64 (-.f64 -1 x) 6)) (/.f64 1 (+.f64 x (fma.f64 (.f64 x x) -1/2 1))))) (+.f64 (.f64 (pow.f64 (.f64 x x) 4) 1/16) (.f64 (pow.f64 (-.f64 -1 x) 2) (fma.f64 (pow.f64 x 4) 1/4 (pow.f64 (-.f64 -1 x) 2)))))
(.f64 (/.f64 (-.f64 (.f64 (pow.f64 x 4) 1/4) (pow.f64 (-.f64 -1 x) 2)) (/.f64 (-.f64 (.f64 (pow.f64 x 4) 1/4) (pow.f64 (-.f64 -1 x) 2)) (sqrt.f64 (+.f64 x (fma.f64 (.f64 x x) -1/2 1))))) (sqrt.f64 (+.f64 x (fma.f64 (*.f64 x x) -1/2 1))))
(.f64 (/.f64 (-.f64 (.f64 (pow.f64 x 4) 1/4) (pow.f64 (-.f64 -1 x) 2)) (/.f64 (-.f64 (.f64 (pow.f64 x 4) 1/4) (pow.f64 (-.f64 -1 x) 2)) (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 (.f64 x x) -1/2 1))) 2))) (cbrt.f64 (+.f64 x (fma.f64 (*.f64 x x) -1/2 1))))
(.f64 (/.f64 (-.f64 (.f64 (pow.f64 x 4) 1/4) (pow.f64 (-.f64 -1 x) 2)) (-.f64 (.f64 (.f64 1/4 (/.f64 (pow.f64 x 4) (+.f64 x (fma.f64 (.f64 x x) -1/2 1)))) (.f64 1/4 (/.f64 (pow.f64 x 4) (+.f64 x (fma.f64 (.f64 x x) -1/2 1))))) (.f64 (/.f64 (pow.f64 (-.f64 -1 x) 2) (+.f64 x (fma.f64 (.f64 x x) -1/2 1))) (/.f64 (pow.f64 (-.f64 -1 x) 2) (+.f64 x (fma.f64 (.f64 x x) -1/2 1)))))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 x 4) (+.f64 x (fma.f64 (.f64 x x) -1/2 1)))) (/.f64 (pow.f64 (-.f64 -1 x) 2) (+.f64 x (fma.f64 (*.f64 x x) -1/2 1)))))
(.f64 (/.f64 (-.f64 (.f64 (pow.f64 x 4) 1/4) (pow.f64 (-.f64 -1 x) 2)) (+.f64 (pow.f64 (.f64 x (.f64 x -1/2)) 3) (pow.f64 (-.f64 -1 x) 3))) (-.f64 (fma.f64 (pow.f64 x 4) 1/4 (pow.f64 (-.f64 -1 x) 2)) (.f64 (-.f64 -1 x) (.f64 x (*.f64 x -1/2)))))
(.f64 (/.f64 (-.f64 (.f64 (pow.f64 x 4) 1/4) (pow.f64 (-.f64 -1 x) 2)) (-.f64 (pow.f64 (.f64 1/4 (/.f64 (pow.f64 x 4) (+.f64 x (fma.f64 (.f64 x x) -1/2 1)))) 3) (pow.f64 (/.f64 (pow.f64 (-.f64 -1 x) 2) (+.f64 x (fma.f64 (.f64 x x) -1/2 1))) 3))) (+.f64 (.f64 (.f64 1/4 (/.f64 (pow.f64 x 4) (+.f64 x (fma.f64 (.f64 x x) -1/2 1)))) (.f64 1/4 (/.f64 (pow.f64 x 4) (+.f64 x (fma.f64 (.f64 x x) -1/2 1))))) (+.f64 (.f64 (/.f64 (pow.f64 (-.f64 -1 x) 2) (+.f64 x (fma.f64 (.f64 x x) -1/2 1))) (/.f64 (pow.f64 (-.f64 -1 x) 2) (+.f64 x (fma.f64 (.f64 x x) -1/2 1)))) (.f64 (.f64 1/4 (/.f64 (pow.f64 x 4) (+.f64 x (fma.f64 (.f64 x x) -1/2 1)))) (/.f64 (pow.f64 (-.f64 -1 x) 2) (+.f64 x (fma.f64 (*.f64 x x) -1/2 1)))))))
(.f64 (/.f64 (-.f64 (.f64 (pow.f64 x 4) 1/4) (pow.f64 (-.f64 -1 x) 2)) (-.f64 (.f64 (.f64 (pow.f64 x 4) 1/4) (+.f64 x (fma.f64 (.f64 x x) -1/2 1))) (.f64 (+.f64 x (fma.f64 (.f64 x x) -1/2 1)) (pow.f64 (-.f64 -1 x) 2)))) (pow.f64 (+.f64 x (fma.f64 (.f64 x x) -1/2 1)) 2))
(.f64 (/.f64 (-.f64 (.f64 (pow.f64 x 4) 1/4) (pow.f64 (-.f64 -1 x) 2)) (.f64 (-.f64 (.f64 (pow.f64 (.f64 x x) 4) 1/16) (pow.f64 (-.f64 -1 x) 4)) 1)) (.f64 (fma.f64 (pow.f64 x 4) 1/4 (pow.f64 (-.f64 -1 x) 2)) (+.f64 x (fma.f64 (*.f64 x x) -1/2 1))))
(.f64 (/.f64 (-.f64 (.f64 (pow.f64 x 4) 1/4) (pow.f64 (-.f64 -1 x) 2)) (.f64 (-.f64 (.f64 (pow.f64 (pow.f64 x 4) 3) 1/64) (pow.f64 (-.f64 -1 x) 6)) 1)) (.f64 (+.f64 (.f64 (pow.f64 (.f64 x x) 4) 1/16) (.f64 (pow.f64 (-.f64 -1 x) 2) (fma.f64 (pow.f64 x 4) 1/4 (pow.f64 (-.f64 -1 x) 2)))) (+.f64 x (fma.f64 (*.f64 x x) -1/2 1))))
(.f64 (/.f64 (-.f64 (.f64 (pow.f64 x 4) 1/4) (pow.f64 (-.f64 -1 x) 2)) (neg.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x 4) 1/4) (pow.f64 (-.f64 -1 x) 2))))) (neg.f64 (-.f64 (neg.f64 x) (fma.f64 (.f64 x x) -1/2 1))))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 x (.f64 x -1/2)) 3) (pow.f64 (-.f64 -1 x) 3)) (-.f64 (.f64 (pow.f64 (.f64 x x) 4) 1/16) (.f64 (.f64 (-.f64 -1 x) (fma.f64 (.f64 x x) -1/2 (-.f64 -1 x))) (.f64 (-.f64 -1 x) (fma.f64 (.f64 x x) -1/2 (-.f64 -1 x)))))) (-.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (-.f64 -1 x) (fma.f64 (*.f64 x x) -1/2 (-.f64 -1 x)))))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 x (.f64 x -1/2)) 3) (pow.f64 (-.f64 -1 x) 3)) (+.f64 (.f64 (pow.f64 (pow.f64 x 4) 3) 1/64) (pow.f64 (.f64 (-.f64 -1 x) (fma.f64 (.f64 x x) -1/2 (-.f64 -1 x))) 3))) (+.f64 (.f64 (pow.f64 (.f64 x x) 4) 1/16) (-.f64 (.f64 (.f64 (-.f64 -1 x) (fma.f64 (.f64 x x) -1/2 (-.f64 -1 x))) (.f64 (-.f64 -1 x) (fma.f64 (.f64 x x) -1/2 (-.f64 -1 x)))) (.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (-.f64 -1 x) (fma.f64 (*.f64 x x) -1/2 (-.f64 -1 x)))))))
(/.f64 (-.f64 (.f64 (pow.f64 x 4) 1/4) (pow.f64 (-.f64 -1 x) 2)) (fma.f64 (.f64 x x) -1/2 (-.f64 -1 x)))
(/.f64 (+.f64 x (fma.f64 (*.f64 x x) -1/2 1)) 1)
(/.f64 1 (/.f64 1 (+.f64 x (fma.f64 (*.f64 x x) -1/2 1))))
(/.f64 1 (/.f64 (+.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (-.f64 -1 x) (fma.f64 (.f64 x x) -1/2 (-.f64 -1 x)))) (-.f64 (pow.f64 (.f64 x (*.f64 x -1/2)) 3) (pow.f64 (-.f64 -1 x) 3))))
(/.f64 1 (.f64 (fma.f64 (.f64 x x) -1/2 (-.f64 -1 x)) (/.f64 (fma.f64 (pow.f64 x 4) 1/4 (pow.f64 (-.f64 -1 x) 2)) (-.f64 (.f64 (pow.f64 (.f64 x x) 4) 1/16) (pow.f64 (-.f64 -1 x) 4)))))
(/.f64 1 (.f64 (fma.f64 (.f64 x x) -1/2 (-.f64 -1 x)) (/.f64 (+.f64 (.f64 (pow.f64 (.f64 x x) 4) 1/16) (.f64 (pow.f64 (-.f64 -1 x) 2) (fma.f64 (pow.f64 x 4) 1/4 (pow.f64 (-.f64 -1 x) 2)))) (-.f64 (.f64 (pow.f64 (pow.f64 x 4) 3) 1/64) (pow.f64 (-.f64 -1 x) 6)))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 x x) 4) 1/16) (pow.f64 (-.f64 -1 x) 4)) (.f64 (fma.f64 (.f64 x x) -1/2 (-.f64 -1 x)) (fma.f64 (pow.f64 x 4) 1/4 (pow.f64 (-.f64 -1 x) 2))))
(/.f64 (-.f64 (pow.f64 (.f64 x (.f64 x -1/2)) 3) (pow.f64 (-.f64 -1 x) 3)) (+.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (-.f64 -1 x) (fma.f64 (*.f64 x x) -1/2 (-.f64 -1 x)))))
(/.f64 (-.f64 (.f64 (pow.f64 (pow.f64 x 4) 3) 1/64) (pow.f64 (-.f64 -1 x) 6)) (.f64 (fma.f64 (.f64 x x) -1/2 (-.f64 -1 x)) (+.f64 (.f64 (pow.f64 (.f64 x x) 4) 1/16) (.f64 (pow.f64 (-.f64 -1 x) 2) (fma.f64 (pow.f64 x 4) 1/4 (pow.f64 (-.f64 -1 x) 2))))))
(/.f64 (-.f64 (.f64 (pow.f64 (pow.f64 x 4) 3) 1/64) (pow.f64 (-.f64 -1 x) 6)) (.f64 (+.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (-.f64 -1 x) (fma.f64 (.f64 x x) -1/2 (-.f64 -1 x)))) (+.f64 (pow.f64 (.f64 x (*.f64 x -1/2)) 3) (pow.f64 (-.f64 -1 x) 3))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x 4) 1/4) (pow.f64 (-.f64 -1 x) 2))) (neg.f64 (fma.f64 (.f64 x x) -1/2 (-.f64 -1 x))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x 4) 1/4) (pow.f64 (-.f64 -1 x) 2))) (.f64 1 (neg.f64 (fma.f64 (*.f64 x x) -1/2 (-.f64 -1 x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 x (.f64 x -1/2)) 3) (pow.f64 (-.f64 -1 x) 3))) (neg.f64 (+.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (-.f64 -1 x) (fma.f64 (*.f64 x x) -1/2 (-.f64 -1 x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 x (.f64 x -1/2)) 3) (pow.f64 (-.f64 -1 x) 3))) (.f64 1 (neg.f64 (+.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (-.f64 -1 x) (fma.f64 (.f64 x x) -1/2 (-.f64 -1 x)))))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 (.f64 x x) 4) 1/16) (pow.f64 (-.f64 -1 x) 4))) (.f64 (fma.f64 (.f64 x x) -1/2 (-.f64 -1 x)) (neg.f64 (fma.f64 (pow.f64 x 4) 1/4 (pow.f64 (-.f64 -1 x) 2)))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 (.f64 x x) 4) 1/16) (pow.f64 (-.f64 -1 x) 4))) (.f64 (neg.f64 (fma.f64 (.f64 x x) -1/2 (-.f64 -1 x))) (fma.f64 (pow.f64 x 4) 1/4 (pow.f64 (-.f64 -1 x) 2))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 (pow.f64 x 4) 3) 1/64) (pow.f64 (-.f64 -1 x) 6))) (.f64 (fma.f64 (.f64 x x) -1/2 (-.f64 -1 x)) (neg.f64 (+.f64 (.f64 (pow.f64 (.f64 x x) 4) 1/16) (.f64 (pow.f64 (-.f64 -1 x) 2) (fma.f64 (pow.f64 x 4) 1/4 (pow.f64 (-.f64 -1 x) 2)))))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 (pow.f64 x 4) 3) 1/64) (pow.f64 (-.f64 -1 x) 6))) (.f64 (neg.f64 (fma.f64 (.f64 x x) -1/2 (-.f64 -1 x))) (+.f64 (.f64 (pow.f64 (.f64 x x) 4) 1/16) (.f64 (pow.f64 (-.f64 -1 x) 2) (fma.f64 (pow.f64 x 4) 1/4 (pow.f64 (-.f64 -1 x) 2))))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 x x) 4) 1/16) (.f64 (neg.f64 (pow.f64 (-.f64 -1 x) 2)) (neg.f64 (pow.f64 (-.f64 -1 x) 2)))) (.f64 (fma.f64 (.f64 x x) -1/2 (-.f64 -1 x)) (-.f64 (.f64 (pow.f64 x 4) 1/4) (neg.f64 (pow.f64 (-.f64 -1 x) 2)))))
(/.f64 (-.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (+.f64 x 1) (+.f64 x 1))) (-.f64 (.f64 x (.f64 x -1/2)) (+.f64 x 1)))
(/.f64 (-.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (+.f64 x 1) (+.f64 x 1))) (.f64 1 (-.f64 (.f64 x (*.f64 x -1/2)) (+.f64 x 1))))
(/.f64 (-.f64 (.f64 (fma.f64 (.f64 x x) -1/2 1) (fma.f64 (.f64 x x) -1/2 1)) (.f64 x x)) (-.f64 (fma.f64 (*.f64 x x) -1/2 1) x))
(/.f64 (-.f64 (.f64 (fma.f64 (.f64 x x) -1/2 1) (fma.f64 (.f64 x x) -1/2 1)) (.f64 x x)) (.f64 1 (-.f64 (fma.f64 (.f64 x x) -1/2 1) x)))
(/.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x 4) 3) 1/64) (pow.f64 (neg.f64 (pow.f64 (-.f64 -1 x) 2)) 3)) (.f64 (fma.f64 (.f64 x x) -1/2 (-.f64 -1 x)) (+.f64 (.f64 (pow.f64 (.f64 x x) 4) 1/16) (-.f64 (.f64 (neg.f64 (pow.f64 (-.f64 -1 x) 2)) (neg.f64 (pow.f64 (-.f64 -1 x) 2))) (.f64 (.f64 (pow.f64 x 4) 1/4) (neg.f64 (pow.f64 (-.f64 -1 x) 2)))))))
(/.f64 (+.f64 (pow.f64 (.f64 x (.f64 x -1/2)) 3) (pow.f64 (+.f64 x 1) 3)) (+.f64 (.f64 (pow.f64 x 4) 1/4) (-.f64 (.f64 (+.f64 x 1) (+.f64 x 1)) (.f64 (.f64 x (*.f64 x -1/2)) (+.f64 x 1)))))
(/.f64 (+.f64 (pow.f64 (.f64 x (.f64 x -1/2)) 3) (pow.f64 (+.f64 x 1) 3)) (.f64 1 (+.f64 (.f64 (pow.f64 x 4) 1/4) (-.f64 (.f64 (+.f64 x 1) (+.f64 x 1)) (.f64 (.f64 x (.f64 x -1/2)) (+.f64 x 1))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 (.f64 x x) -1/2 1) 3)) (+.f64 (.f64 (fma.f64 (.f64 x x) -1/2 1) (fma.f64 (.f64 x x) -1/2 1)) (-.f64 (.f64 x x) (.f64 (fma.f64 (*.f64 x x) -1/2 1) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 (.f64 x x) -1/2 1) 3)) (.f64 1 (+.f64 (.f64 (fma.f64 (.f64 x x) -1/2 1) (fma.f64 (.f64 x x) -1/2 1)) (-.f64 (.f64 x x) (.f64 (fma.f64 (.f64 x x) -1/2 1) x)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (.f64 x (.f64 x -1/2)) 3) 3) (pow.f64 (pow.f64 (-.f64 -1 x) 3) 3)) (.f64 (+.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (-.f64 -1 x) (fma.f64 (.f64 x x) -1/2 (-.f64 -1 x)))) (+.f64 (.f64 (pow.f64 (pow.f64 x 4) 3) 1/64) (+.f64 (pow.f64 (-.f64 -1 x) 6) (.f64 (pow.f64 (.f64 x (.f64 x -1/2)) 3) (pow.f64 (-.f64 -1 x) 3))))))
(pow.f64 (+.f64 x (fma.f64 (*.f64 x x) -1/2 1)) 1)
(pow.f64 (sqrt.f64 (+.f64 x (fma.f64 (*.f64 x x) -1/2 1))) 2)
(pow.f64 (cbrt.f64 (+.f64 x (fma.f64 (*.f64 x x) -1/2 1))) 3)
(pow.f64 (pow.f64 (+.f64 x (fma.f64 (*.f64 x x) -1/2 1)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 x (fma.f64 (*.f64 x x) -1/2 1)) 2))
(log.f64 (exp.f64 (+.f64 x (fma.f64 (*.f64 x x) -1/2 1))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (fma.f64 (*.f64 x x) -1/2 1)))))
(cbrt.f64 (pow.f64 (+.f64 x (fma.f64 (*.f64 x x) -1/2 1)) 3))
(expm1.f64 (log1p.f64 (+.f64 x (fma.f64 (*.f64 x x) -1/2 1))))
(exp.f64 (log.f64 (+.f64 x (fma.f64 (*.f64 x x) -1/2 1))))
(exp.f64 (.f64 (log.f64 (+.f64 x (fma.f64 (.f64 x x) -1/2 1))) 1))
(log1p.f64 (expm1.f64 (+.f64 x (fma.f64 (*.f64 x x) -1/2 1))))
(fma.f64 (*.f64 x x) -1/2 (+.f64 x 1))
(fma.f64 -1/2 (*.f64 x x) (+.f64 x 1))
(fma.f64 1 (.f64 x (.f64 x -1/2)) (+.f64 x 1))
(fma.f64 (.f64 x (sqrt.f64 -1/2)) (.f64 x (sqrt.f64 -1/2)) (+.f64 x 1))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/4)) (cbrt.f64 (.f64 x (*.f64 x -1/2))) (+.f64 x 1))
(fma.f64 (*.f64 x -1/2) x (+.f64 x 1))

Outputs
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
(pow.f64 x 4)
1
(+.f64 (*.f64 2 x) 1)
(fma.f64 2 x 1)
(+.f64 (*.f64 2 x) (+.f64 1 (pow.f64 x 2)))
(fma.f64 2 x (+.f64 1 (*.f64 x x)))
(+.f64 (*.f64 2 x) (+.f64 1 (pow.f64 x 2)))
(fma.f64 2 x (+.f64 1 (*.f64 x x)))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(fma.f64 2 x (*.f64 x x))
(+.f64 (*.f64 2 x) (+.f64 1 (pow.f64 x 2)))
(fma.f64 2 x (+.f64 1 (*.f64 x x)))
(+.f64 (*.f64 2 x) (+.f64 1 (pow.f64 x 2)))
(fma.f64 2 x (+.f64 1 (*.f64 x x)))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(fma.f64 2 x (*.f64 x x))
(+.f64 (*.f64 2 x) (+.f64 1 (pow.f64 x 2)))
(fma.f64 2 x (+.f64 1 (*.f64 x x)))
(+.f64 (*.f64 2 x) (+.f64 1 (pow.f64 x 2)))
(fma.f64 2 x (+.f64 1 (*.f64 x x)))
-1
(-.f64 (*.f64 -1 x) 1)
(fma.f64 -1 x -1)
(-.f64 -1 x)
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)
(fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x))
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)
(fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x))
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(*.f64 -1/2 (pow.f64 x 2))
(.f64 -1/2 (.f64 x x))
(.f64 x (.f64 x -1/2))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x))
(-.f64 (.f64 -1/2 (.f64 x x)) x)
(-.f64 (.f64 x (.f64 x -1/2)) x)
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)
(fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x))
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)
(fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x))
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(*.f64 -1/2 (pow.f64 x 2))
(.f64 -1/2 (.f64 x x))
(.f64 x (.f64 x -1/2))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x))
(-.f64 (.f64 -1/2 (.f64 x x)) x)
(-.f64 (.f64 x (.f64 x -1/2)) x)
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)
(fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x))
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(/.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x 4) 3) 1/64) (pow.f64 (neg.f64 (pow.f64 (-.f64 -1 x) 2)) 3)) (.f64 (fma.f64 (.f64 x x) -1/2 (-.f64 -1 x)) (+.f64 (.f64 (pow.f64 (.f64 x x) 4) 1/16) (-.f64 (.f64 (neg.f64 (pow.f64 (-.f64 -1 x) 2)) (neg.f64 (pow.f64 (-.f64 -1 x) 2))) (.f64 (.f64 (pow.f64 x 4) 1/4) (neg.f64 (pow.f64 (-.f64 -1 x) 2)))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 4) 3) 1/64 (neg.f64 (pow.f64 (pow.f64 (-.f64 -1 x) 2) 3))) (.f64 (fma.f64 -1/2 (.f64 x x) (-.f64 -1 x)) (fma.f64 (pow.f64 (.f64 x x) 4) 1/16 (-.f64 (pow.f64 (-.f64 -1 x) 4) (neg.f64 (.f64 (*.f64 (pow.f64 x 4) 1/4) (pow.f64 (-.f64 -1 x) 2)))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 4) 3) 1/64 (.f64 -1 (pow.f64 (-.f64 -1 x) 6))) (.f64 (fma.f64 x (.f64 x -1/2) (-.f64 -1 x)) (fma.f64 (pow.f64 (.f64 x x) 4) 1/16 (-.f64 (pow.f64 (-.f64 -1 x) 4) (.f64 1/4 (.f64 (pow.f64 x 4) (neg.f64 (pow.f64 (-.f64 -1 x) 2))))))))
(/.f64 (+.f64 (pow.f64 (.f64 x (.f64 x -1/2)) 3) (pow.f64 (+.f64 x 1) 3)) (+.f64 (.f64 (pow.f64 x 4) 1/4) (-.f64 (.f64 (+.f64 x 1) (+.f64 x 1)) (.f64 (.f64 x (*.f64 x -1/2)) (+.f64 x 1)))))
(/.f64 (+.f64 (pow.f64 (.f64 -1/2 (.f64 x x)) 3) (pow.f64 (+.f64 x 1) 3)) (fma.f64 (pow.f64 x 4) 1/4 (.f64 (+.f64 x 1) (-.f64 (+.f64 x 1) (.f64 -1/2 (*.f64 x x))))))
(/.f64 (+.f64 (pow.f64 (.f64 x (.f64 x -1/2)) 3) (pow.f64 (+.f64 x 1) 3)) (fma.f64 (pow.f64 x 4) 1/4 (.f64 (+.f64 x 1) (-.f64 (+.f64 x 1) (.f64 x (*.f64 x -1/2))))))
(/.f64 (+.f64 (pow.f64 (.f64 x (.f64 x -1/2)) 3) (pow.f64 (+.f64 x 1) 3)) (.f64 1 (+.f64 (.f64 (pow.f64 x 4) 1/4) (-.f64 (.f64 (+.f64 x 1) (+.f64 x 1)) (.f64 (.f64 x (.f64 x -1/2)) (+.f64 x 1))))))
(/.f64 (+.f64 (pow.f64 (.f64 -1/2 (.f64 x x)) 3) (pow.f64 (+.f64 x 1) 3)) (fma.f64 (pow.f64 x 4) 1/4 (.f64 (+.f64 x 1) (-.f64 (+.f64 x 1) (.f64 -1/2 (*.f64 x x))))))
(/.f64 (+.f64 (pow.f64 (.f64 x (.f64 x -1/2)) 3) (pow.f64 (+.f64 x 1) 3)) (fma.f64 (pow.f64 x 4) 1/4 (.f64 (+.f64 x 1) (-.f64 (+.f64 x 1) (.f64 x (*.f64 x -1/2))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 (.f64 x x) -1/2 1) 3)) (+.f64 (.f64 (fma.f64 (.f64 x x) -1/2 1) (fma.f64 (.f64 x x) -1/2 1)) (-.f64 (.f64 x x) (.f64 (fma.f64 (*.f64 x x) -1/2 1) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 (.f64 x x) -1/2 1) 3)) (fma.f64 (fma.f64 (.f64 x x) -1/2 1) (fma.f64 (.f64 x x) -1/2 1) (.f64 x (-.f64 x (fma.f64 (*.f64 x x) -1/2 1)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 (.f64 x x) -1/2 1) 3)) (.f64 1 (+.f64 (.f64 (fma.f64 (.f64 x x) -1/2 1) (fma.f64 (.f64 x x) -1/2 1)) (-.f64 (.f64 x x) (.f64 (fma.f64 (.f64 x x) -1/2 1) x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 (.f64 x x) -1/2 1) 3)) (fma.f64 (fma.f64 (.f64 x x) -1/2 1) (fma.f64 (.f64 x x) -1/2 1) (.f64 x (-.f64 x (fma.f64 (*.f64 x x) -1/2 1)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (.f64 x (.f64 x -1/2)) 3) 3) (pow.f64 (pow.f64 (-.f64 -1 x) 3) 3)) (.f64 (+.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (-.f64 -1 x) (fma.f64 (.f64 x x) -1/2 (-.f64 -1 x)))) (+.f64 (.f64 (pow.f64 (pow.f64 x 4) 3) 1/64) (+.f64 (pow.f64 (-.f64 -1 x) 6) (.f64 (pow.f64 (.f64 x (.f64 x -1/2)) 3) (pow.f64 (-.f64 -1 x) 3))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (.f64 -1/2 (.f64 x x)) 3) 3) (pow.f64 (pow.f64 (-.f64 -1 x) 3) 3)) (.f64 (fma.f64 (pow.f64 x 4) 1/4 (.f64 (-.f64 -1 x) (fma.f64 -1/2 (.f64 x x) (-.f64 -1 x)))) (+.f64 (fma.f64 (pow.f64 (pow.f64 x 4) 3) 1/64 (pow.f64 (-.f64 -1 x) 6)) (.f64 (pow.f64 (.f64 -1/2 (.f64 x x)) 3) (pow.f64 (-.f64 -1 x) 3)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 (.f64 x (.f64 x -1/2)) 3) 3) (pow.f64 (pow.f64 (-.f64 -1 x) 3) 3)) (fma.f64 (pow.f64 (pow.f64 x 4) 3) 1/64 (+.f64 (pow.f64 (-.f64 -1 x) 6) (.f64 (pow.f64 (.f64 x (.f64 x -1/2)) 3) (pow.f64 (-.f64 -1 x) 3))))) (fma.f64 (pow.f64 x 4) 1/4 (.f64 (-.f64 -1 x) (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)))))
(pow.f64 (+.f64 x (fma.f64 (*.f64 x x) -1/2 1)) 1)
(+.f64 x (fma.f64 (*.f64 x x) -1/2 1))
(pow.f64 (sqrt.f64 (+.f64 x (fma.f64 (*.f64 x x) -1/2 1))) 2)
(+.f64 x (fma.f64 (*.f64 x x) -1/2 1))
(pow.f64 (cbrt.f64 (+.f64 x (fma.f64 (*.f64 x x) -1/2 1))) 3)
(+.f64 x (fma.f64 (*.f64 x x) -1/2 1))
(pow.f64 (pow.f64 (+.f64 x (fma.f64 (*.f64 x x) -1/2 1)) 3) 1/3)
(+.f64 x (fma.f64 (*.f64 x x) -1/2 1))
(sqrt.f64 (pow.f64 (+.f64 x (fma.f64 (*.f64 x x) -1/2 1)) 2))
(log.f64 (exp.f64 (+.f64 x (fma.f64 (*.f64 x x) -1/2 1))))
(+.f64 x (fma.f64 (*.f64 x x) -1/2 1))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (fma.f64 (*.f64 x x) -1/2 1)))))
(+.f64 x (fma.f64 (*.f64 x x) -1/2 1))
(cbrt.f64 (pow.f64 (+.f64 x (fma.f64 (*.f64 x x) -1/2 1)) 3))
(+.f64 x (fma.f64 (*.f64 x x) -1/2 1))
(expm1.f64 (log1p.f64 (+.f64 x (fma.f64 (*.f64 x x) -1/2 1))))
(+.f64 x (fma.f64 (*.f64 x x) -1/2 1))
(exp.f64 (log.f64 (+.f64 x (fma.f64 (*.f64 x x) -1/2 1))))
(+.f64 x (fma.f64 (*.f64 x x) -1/2 1))
(exp.f64 (.f64 (log.f64 (+.f64 x (fma.f64 (.f64 x x) -1/2 1))) 1))
(+.f64 x (fma.f64 (*.f64 x x) -1/2 1))
(log1p.f64 (expm1.f64 (+.f64 x (fma.f64 (*.f64 x x) -1/2 1))))
(+.f64 x (fma.f64 (*.f64 x x) -1/2 1))
(fma.f64 (*.f64 x x) -1/2 (+.f64 x 1))
(+.f64 x (fma.f64 (*.f64 x x) -1/2 1))
(fma.f64 -1/2 (*.f64 x x) (+.f64 x 1))
(+.f64 x (fma.f64 (*.f64 x x) -1/2 1))
(fma.f64 1 (.f64 x (.f64 x -1/2)) (+.f64 x 1))
(+.f64 x (fma.f64 (*.f64 x x) -1/2 1))
(fma.f64 (.f64 x (sqrt.f64 -1/2)) (.f64 x (sqrt.f64 -1/2)) (+.f64 x 1))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/4)) (cbrt.f64 (.f64 x (*.f64 x -1/2))) (+.f64 x 1))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/4)) (cbrt.f64 (.f64 -1/2 (*.f64 x x))) (+.f64 x 1))
(fma.f64 (*.f64 x -1/2) x (+.f64 x 1))
(+.f64 x (fma.f64 (*.f64 x x) -1/2 1))

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 32 to 7 computations (78.1% saved)

series12.0ms (0.1%)

Counts

3 → 28

Calls

9 calls:

Time	Variable		Point	Expression
5.0ms	x	@	inf	(/.f64 (sqrt.f64 (log1p.f64 (neg.f64 x))) (log1p.f64 x))
3.0ms	x	@	-inf	(/.f64 (sqrt.f64 (log1p.f64 (neg.f64 x))) (log1p.f64 x))
1.0ms	x	@	0	(/.f64 (sqrt.f64 (log1p.f64 (neg.f64 x))) (log1p.f64 x))
1.0ms	x	@	-inf	(sqrt.f64 (log1p.f64 (neg.f64 x)))
1.0ms	x	@	inf	(sqrt.f64 (log1p.f64 (neg.f64 x)))

rewrite63.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1676×	`add-sqr-sqrt`
1660×	`*-un-lft-identity`
1544×	`add-cube-cbrt`
1520×	`add-cbrt-cube`
196×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	55
1	204	43
2	2703	43

Stop Event

1×	node limit

Counts

3 → 76

Calls

Call 1

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

Outputs

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

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

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

simplify101.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1010×	`associate-/l/`
690×	`fma-def`
674×	`associate-/r*`
634×	`associate--r+`
548×	`associate-+l-`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	437	8432
1	1310	7428
2	5510	7420

Stop Event

1×	node limit

Counts

104 → 177

Calls

Call 1

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

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

eval1.6s (10.5%)

Compiler: Compiled 42162 to 28651 computations (32% saved)

prune302.0ms (2%)

Pruning

14 alts after pruning (7 fresh and 7 done)

	Pruned	Kept	Total
New	1136	6	1142
Fresh	0	1	1
Picked	0	1	1
Done	2	6	8
Total	1138	14	1152

Error

Counts

1152 → 14

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.8b	(/.f64 (-.f64 (.f64 1/4 (.f64 (.f64 x x) (.f64 x x))) (/.f64 (-.f64 -1 x) (/.f64 (+.f64 x -1) (-.f64 1 (.f64 x x))))) (-.f64 (.f64 -1/2 (*.f64 x x)) (-.f64 -1 x)))
	0.8b	(/.f64 (-.f64 (.f64 1/4 (.f64 (.f64 x x) (.f64 x x))) (.f64 (/.f64 (.f64 (-.f64 1 (.f64 x x)) (-.f64 -1 x)) (+.f64 -1 (pow.f64 x 3))) (+.f64 1 (-.f64 (.f64 x x) (neg.f64 x))))) (-.f64 (.f64 -1/2 (.f64 x x)) (-.f64 -1 x)))
▶	0.8b	(/.f64 (-.f64 1 (.f64 (-.f64 x (.f64 x (.f64 x -1/2))) (-.f64 x (.f64 x (.f64 x -1/2))))) (+.f64 -1 (-.f64 x (.f64 x (*.f64 x -1/2)))))
✓	0.0b	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
✓	1.7b	(/.f64 (log1p.f64 (neg.f64 x)) x)
✓	59.5b	(/.f64 (log.f64 (-.f64 1 x)) (log1p.f64 x))
▶	0.8b	(-.f64 (/.f64 1 (+.f64 -1 x)) (.f64 x (-.f64 (/.f64 x (+.f64 -1 x)) (.f64 x -1/2))))
✓	0.8b	(-.f64 (+.f64 (.f64 -1/2 (.f64 x x)) -1) x)
▶	0.8b	(-.f64 (.f64 x (+.f64 -1 (.f64 x -1/2))) 1)
✓	1.0b	(-.f64 -1 x)
▶	0.8b	(+.f64 (-.f64 (+.f64 -1 (.f64 x (.f64 x -1/2))) (+.f64 x 1)) 1)
✓	0.8b	(+.f64 (-.f64 -1 x) (.f64 -1/2 (.f64 x x)))
✓	30.0b	(*.f64 (/.f64 (sqrt.f64 (log1p.f64 (neg.f64 x))) (log1p.f64 x)) (sqrt.f64 (log1p.f64 (neg.f64 x))))
	1.8b	-1

Compiler

Compiled 358 to 237 computations (33.8% saved)

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 29 to 22 computations (24.1% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite105.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

932×	`*-commutative`
902×	`associate-*r/`
744×	`unswap-sqr`
702×	`associate-*l/`
570×	`swap-sqr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	40
1	221	32
2	2766	32

Stop Event

1×	node limit

Counts

2 → 151

Calls

Call 1

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

Outputs

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

simplify150.0ms (1%)

Algorithm

1×	egg-herbie

Rules

970×	`associate-+r+`
870×	`associate-+l+`
828×	`associate-/r/`
696×	`associate-/l/`
522×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	390	8415
1	1073	7527
2	4345	7503

Stop Event

1×	node limit

Counts

175 → 246

Calls

Call 1

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

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

localize18.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 47 to 34 computations (27.7% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite108.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

698×	`associate-+l+`
596×	`associate-/r*`
454×	`associate-+r+`
442×	`associate-/r/`
386×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	68
1	279	48
2	3973	46

Stop Event

1×	node limit

Counts

2 → 267

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (*.f64 x -1/2)) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 (+.f64 x 1) (fma.f64 (-.f64 -1 x) 1 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 (+.f64 x 1) (fma.f64 (neg.f64 (hypot.f64 1 (sqrt.f64 x))) (hypot.f64 1 (sqrt.f64 x)) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 (+.f64 x 1) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 x 1))) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 x (*.f64 x -1/2) -1) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 x (*.f64 x -1/2) -1) (-.f64 x (fma.f64 (-.f64 -1 x) 1 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 x (*.f64 x -1/2) -1) (-.f64 x (fma.f64 (neg.f64 (hypot.f64 1 (sqrt.f64 x))) (hypot.f64 1 (sqrt.f64 x)) (+.f64 x 1))))))) (#(struct:change #<rule 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x)) (sqrt.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) (-.f64 0 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x (*.f64 x -1/2) -1))) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x (*.f64 x -1/2) -1))) (-.f64 1 (-.f64 0 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x (*.f64 x -1/2) -1))) (-.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x -1/2)))) (+.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x -1/2)))) (-.f64 1 (-.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (-.f64 (*.f64 x (*.f64 x -1/2)) x))) (-.f64 1 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simplify166.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

824×	`associate-+l+`
810×	`+-commutative`
776×	`distribute-lft-in`
702×	`distribute-rgt-in`
644×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	703	20209
1	2170	19883

Stop Event

1×	node limit

Counts

291 → 427

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

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

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 58 to 40 computations (31% saved)

series4.0ms (0%)

Counts

4 → 48

Calls

12 calls:

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

rewrite107.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1232×	`associate-/r*`
922×	`distribute-rgt-in`
906×	`associate-/l*`
866×	`distribute-lft-in`
614×	`associate-/r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	82
1	264	82
2	3488	82

Stop Event

1×	node limit

Counts

4 → 289

Calls

Call 1

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

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

simplify126.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1372×	`fma-def`
918×	`associate-r`
808×	`associate-l`
652×	`*-commutative`
650×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	734	15297
1	2099	13703

Stop Event

1×	node limit

Counts

337 → 484

Calls

Call 1

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

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

localize32.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 88 to 57 computations (35.2% saved)

series4.0ms (0%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(.f64 (-.f64 x (.f64 x (.f64 x -1/2))) (-.f64 x (.f64 x (*.f64 x -1/2))))
1.0ms	x	@	0	(.f64 (-.f64 x (.f64 x (.f64 x -1/2))) (-.f64 x (.f64 x (*.f64 x -1/2))))
0.0ms	x	@	inf	(/.f64 (-.f64 1 (.f64 (-.f64 x (.f64 x (.f64 x -1/2))) (-.f64 x (.f64 x (.f64 x -1/2))))) (+.f64 -1 (-.f64 x (.f64 x (*.f64 x -1/2)))))
0.0ms	x	@	inf	(.f64 (-.f64 x (.f64 x (.f64 x -1/2))) (-.f64 x (.f64 x (*.f64 x -1/2))))
0.0ms	x	@	0	(/.f64 (-.f64 1 (.f64 (-.f64 x (.f64 x (.f64 x -1/2))) (-.f64 x (.f64 x (.f64 x -1/2))))) (+.f64 -1 (-.f64 x (.f64 x (*.f64 x -1/2)))))

rewrite118.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1826×	`associate-/r*`
1618×	`associate-/l*`
308×	`associate-+l+`
306×	`add-sqr-sqrt`
294×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	142
1	299	106
2	4259	106

Stop Event

1×	node limit

Counts

4 → 276

Calls

Call 1

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

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

simplify195.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1562×	`associate-/l*`
746×	`associate-r`
704×	`associate-/r*`
682×	`distribute-lft-in`
646×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	678	19846
1	1858	19368

Stop Event

1×	node limit

Counts

324 → 503

Calls

Call 1

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

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

localize36.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(-.f64 (.f64 -1/2 (.f64 x x)) (-.f64 -1 x))
✓	0.0b	(/.f64 (-.f64 (.f64 1/4 (.f64 (.f64 x x) (.f64 x x))) (/.f64 (-.f64 -1 x) (/.f64 (+.f64 x -1) (-.f64 1 (.f64 x x))))) (-.f64 (.f64 -1/2 (*.f64 x x)) (-.f64 -1 x)))
✓	0.0b	(/.f64 (-.f64 -1 x) (/.f64 (+.f64 x -1) (-.f64 1 (*.f64 x x))))
	0.1b	(.f64 (.f64 x x) (*.f64 x x))

Compiler

Compiled 128 to 63 computations (50.8% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(/.f64 (-.f64 -1 x) (/.f64 (+.f64 x -1) (-.f64 1 (*.f64 x x))))
0.0ms	x	@	-inf	(/.f64 (-.f64 -1 x) (/.f64 (+.f64 x -1) (-.f64 1 (*.f64 x x))))
0.0ms	x	@	inf	(/.f64 (-.f64 -1 x) (/.f64 (+.f64 x -1) (-.f64 1 (*.f64 x x))))
0.0ms	x	@	inf	(/.f64 (-.f64 (.f64 1/4 (.f64 (.f64 x x) (.f64 x x))) (/.f64 (-.f64 -1 x) (/.f64 (+.f64 x -1) (-.f64 1 (.f64 x x))))) (-.f64 (.f64 -1/2 (*.f64 x x)) (-.f64 -1 x)))
0.0ms	x	@	-inf	(/.f64 (-.f64 (.f64 1/4 (.f64 (.f64 x x) (.f64 x x))) (/.f64 (-.f64 -1 x) (/.f64 (+.f64 x -1) (-.f64 1 (.f64 x x))))) (-.f64 (.f64 -1/2 (*.f64 x x)) (-.f64 -1 x)))

rewrite101.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

470×	`add-sqr-sqrt`
456×	`pow1`
456×	`*-un-lft-identity`
442×	`add-cbrt-cube`
442×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	104
1	459	34
2	7290	34

Stop Event

1×	node limit

Counts

2 → 111

Calls

Call 1

Inputs

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

(/.f64 (-.f64 (*.f64 1/4 (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 (-.f64 -1 x) (/.f64 (+.f64 x -1) (-.f64 1 (*.f64 x x))))) (-.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 -1 x)))

Outputs

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

simplify72.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1426×	`associate-/r*`
978×	`associate-/l/`
960×	`*-commutative`
950×	`unswap-sqr`
658×	`associate-/r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	286	4337
1	783	4081
2	3265	3611

Stop Event

1×	node limit

Counts

135 → 154

Calls

Call 1

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

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

eval2.1s (14%)

Compiler: Compiled 70639 to 48351 computations (31.6% saved)

prune1.1s (7.2%)

Pruning

18 alts after pruning (8 fresh and 10 done)

	Pruned	Kept	Total
New	2016	7	2023
Fresh	1	1	2
Picked	1	0	1
Done	1	10	11
Total	2019	18	2037

Error

Counts

2037 → 18

Alt Table

Click to see full alt table

Status	Error	Program
	0.8b	(/.f64 (-.f64 (.f64 1/4 (.f64 (.f64 x x) (.f64 x x))) (/.f64 (-.f64 -1 x) (/.f64 (+.f64 x -1) (-.f64 1 (.f64 x x))))) (+.f64 (/.f64 x (/.f64 (+.f64 x -1) x)) (-.f64 (.f64 -1/2 (*.f64 x x)) (/.f64 1 (+.f64 x -1)))))
✓	0.0b	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
✓	1.7b	(/.f64 (log1p.f64 (neg.f64 x)) x)
✓	59.5b	(/.f64 (log.f64 (-.f64 1 x)) (log1p.f64 x))
✓	0.8b	(-.f64 (/.f64 1 (+.f64 -1 x)) (.f64 x (-.f64 (/.f64 x (+.f64 -1 x)) (.f64 x -1/2))))
	0.8b	(-.f64 (/.f64 1 (+.f64 -1 x)) (.f64 x (-.f64 (-.f64 (.f64 -1/2 x) (*.f64 x x)) (pow.f64 x 3))))
	0.8b	(-.f64 (/.f64 1 (+.f64 -1 x)) (.f64 x (-.f64 (.f64 -1/2 x) (*.f64 x x))))
	0.8b	(-.f64 (+.f64 (.f64 x (.f64 x -1/2)) -2) (+.f64 -1 x))
✓	0.8b	(-.f64 (+.f64 (.f64 -1/2 (.f64 x x)) -1) x)
	0.8b	(-.f64 (+.f64 -1 (.f64 x (-.f64 -1 (fma.f64 x x x)))) (.f64 x (-.f64 (/.f64 x (+.f64 -1 x)) (*.f64 x -1/2))))
✓	0.8b	(-.f64 (.f64 x (+.f64 -1 (.f64 x -1/2))) 1)
✓	1.0b	(-.f64 -1 x)
	0.8b	(+.f64 (/.f64 (+.f64 x (.f64 x (.f64 x -1/2))) (/.f64 (+.f64 x (.f64 x (.f64 x -1/2))) (+.f64 (.f64 x (.f64 x -1/2)) (-.f64 -2 x)))) 1)
✓	0.8b	(+.f64 (-.f64 (+.f64 -1 (.f64 x (.f64 x -1/2))) (+.f64 x 1)) 1)
✓	0.8b	(+.f64 (-.f64 -1 x) (.f64 -1/2 (.f64 x x)))
	1.0b	(+.f64 (-.f64 -2 x) 1)
✓	30.0b	(*.f64 (/.f64 (sqrt.f64 (log1p.f64 (neg.f64 x))) (log1p.f64 x)) (sqrt.f64 (log1p.f64 (neg.f64 x))))
	1.8b	-1

Compiler

Compiled 251 to 173 computations (31.1% saved)

regimes27.0ms (0.2%)

Counts

27 → 1

Calls

Call 1

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

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

Calls

2 calls:

13.0ms	x
4.0ms	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))

Results

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

Compiler

Compiled 415 to 250 computations (39.8% saved)

regimes18.0ms (0.1%)

Counts

23 → 1

Calls

Call 1

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

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

Calls

1 calls:

10.0ms

Results

Error	Segments	Branch
0.8b	1	`x`

Compiler

Compiled 371 to 226 computations (39.1% saved)

regimes4.0ms (0%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
0.8b	1	`x`

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes4.0ms (0%)

Accuracy

Total -0.8b remaining (-80%)

Threshold costs -0.8b (-80%)

Counts

3 → 1

Calls

Call 1

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

Outputs
(-.f64 -1 x)

Calls

1 calls:

4.0ms

Results

Error	Segments	Branch
1.0b	1	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	77
1	31	77
2	35	77
3	36	77

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

Compiler

Compiled 33 to 25 computations (24.2% saved)

soundness15.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×

saturated

Compiler

Compiled 34 to 23 computations (32.4% saved)

end29.0ms (0.2%)

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