Details

analyze509.0ms (4.9%)

Algorithm

1×

Search

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

Compiler

Compiled 17 to 13 computations (23.5% saved)

sample5.8s (55.7%)

Results

3.8s	4146×	body	1024	valid
1.2s	2054×	body	512	valid
432.0ms	379×	body	2048	valid
360.0ms	1677×	body	256	valid

Bogosity

preprocess6.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 11 to 9 computations (18.2% saved)

simplify15.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 3

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.0b

Counts

4 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
▶	61.0b	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))

Compiler

Compiled 17 to 13 computations (23.5% saved)

localize12.0ms (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)))
✓	7.3b	(log.f64 (-.f64 1 x))
✓	7.3b	(log.f64 (+.f64 1 x))

Compiler

Compiled 26 to 19 computations (26.9% saved)

series48.0ms (0.5%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
44.0ms	x	@	inf	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
2.0ms	x	@	-inf	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
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))

rewrite83.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 125

Calls

Call 1

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

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

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

simplify111.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1128×	`+-commutative`
1022×	`associate--r+`
792×	`associate-+l-`
714×	`associate--l+`
670×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	415	6411
1	1120	5347
2	5252	5343

Stop Event

1×	node limit

Counts

161 → 278

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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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 1 x))) 2) (log.f64 (+.f64 1 x))) (cbrt.f64 (log.f64 (-.f64 1 x))))
(*.f64 (/.f64 1 (/.f64 (log.f64 (+.f64 1 x)) (pow.f64 (cbrt.f64 (log.f64 (-.f64 1 x))) 2))) (cbrt.f64 (log.f64 (-.f64 1 x))))
(pow.f64 (/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x))) 1)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))) 2)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x))) 3) 1/3)
(pow.f64 (/.f64 (log.f64 (+.f64 1 x)) (log.f64 (-.f64 1 x))) -1)
(neg.f64 (/.f64 (log.f64 (-.f64 1 x)) (neg.f64 (log.f64 (+.f64 1 x)))))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x))) 2))
(log.f64 (pow.f64 (-.f64 1 x) (/.f64 1 (log.f64 (+.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x))))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))))
(exp.f64 (log.f64 (/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 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 (+.f64 (/.f64 1 x) (log.f64 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 1 x) (-.f64 (-.f64 (log.f64 -1) (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 (/.f64 1 x) (+.f64 (/.f64 1/3 (pow.f64 x 3)) (log.f64 -1))) (/.f64 -1/2 (*.f64 x x))) (log.f64 (/.f64 -1 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 x (.f64 x -1/2)) x)
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (*.f64 -1 x)))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -1/3 (pow.f64 x 3) (neg.f64 x)))
(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 -1) (-.f64 (log.f64 x) (+.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x)))))
(+.f64 (log.f64 -1) (+.f64 (log.f64 x) (+.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 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)) (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3)))))
(-.f64 (+.f64 (log.f64 x) (log.f64 -1)) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1/3 (pow.f64 x 3)))))
(+.f64 (+.f64 (log.f64 x) (log.f64 -1)) (-.f64 (/.f64 -1/2 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3)))))
(*.f64 -1 (log.f64 (/.f64 -1 x)))
(neg.f64 (log.f64 (/.f64 -1 x)))
(-.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (/.f64 1 x))
(-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (/.f64 1 x))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (/.f64 -1 x))
(-.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)))
(-.f64 (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 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (/.f64 -1/2 (*.f64 x x))) (-.f64 (/.f64 -1 x) (/.f64 1/3 (pow.f64 x 3))))
-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))))
(neg.f64 (/.f64 (+.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 x (neg.f64 (log.f64 x)))) (/.f64 (/.f64 (log.f64 -1) x) (.f64 (log.f64 x) (log.f64 x)))) (/.f64 (+.f64 (log.f64 x) (log.f64 -1)) (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 -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 1/2 (.f64 (.f64 x x) (neg.f64 (log.f64 x)))) (/.f64 (+.f64 (log.f64 x) (log.f64 -1)) (neg.f64 (log.f64 x)))) (-.f64 (/.f64 2 (.f64 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 (/.f64 (log.f64 -1) x) (.f64 (log.f64 x) (log.f64 x))))) (/.f64 (-.f64 (/.f64 2 (neg.f64 (log.f64 x))) (/.f64 (log.f64 -1) (.f64 (log.f64 x) (log.f64 x)))) (.f64 (.f64 x x) (neg.f64 (log.f64 x))))))
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(*.f64 (sqrt.f64 (log.f64 (-.f64 1 x))) (sqrt.f64 (log.f64 (-.f64 1 x))))
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(*.f64 (cbrt.f64 (log.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (log.f64 (-.f64 1 x))) 2))
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(*.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 1 x))) 2) (cbrt.f64 (log.f64 (-.f64 1 x))))
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(*.f64 2 (log.f64 (sqrt.f64 (-.f64 1 x))))
(pow.f64 (log.f64 (-.f64 1 x)) 1)
(log.f64 (-.f64 1 x))
(log1p.f64 (neg.f64 x))
(pow.f64 (sqrt.f64 (log.f64 (-.f64 1 x))) 2)
(log.f64 (-.f64 1 x))
(log1p.f64 (neg.f64 x))
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(log.f64 (-.f64 1 x))
(log1p.f64 (neg.f64 x))
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(exp.f64 (log.f64 (log.f64 (-.f64 1 x))))
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(/.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 1 x))) 2) (cbrt.f64 (/.f64 (log.f64 (-.f64 1 x)) (log1p.f64 x)))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))
(*.f64 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))) 2) (cbrt.f64 (/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))))
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(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(*.f64 (/.f64 1 (log.f64 (+.f64 1 x))) (log.f64 (-.f64 1 x)))
(+.f64 0 (/.f64 (log.f64 (-.f64 1 x)) (log1p.f64 x)))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(*.f64 (neg.f64 (log.f64 (-.f64 1 x))) (/.f64 -1 (log.f64 (+.f64 1 x))))
(+.f64 0 (/.f64 (log.f64 (-.f64 1 x)) (log1p.f64 x)))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (-.f64 1 x))) (log.f64 (+.f64 1 x))) (sqrt.f64 (log.f64 (-.f64 1 x))))
(+.f64 0 (/.f64 (log.f64 (-.f64 1 x)) (log1p.f64 x)))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (-.f64 1 x))) (log.f64 (+.f64 1 x))) (/.f64 (sqrt.f64 (log.f64 (-.f64 1 x))) 1))
(+.f64 0 (/.f64 (log.f64 (-.f64 1 x)) (log1p.f64 x)))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(*.f64 (/.f64 (cbrt.f64 (log.f64 (-.f64 1 x))) (log.f64 (+.f64 1 x))) (pow.f64 (cbrt.f64 (log.f64 (-.f64 1 x))) 2))
(+.f64 0 (/.f64 (log.f64 (-.f64 1 x)) (log1p.f64 x)))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(*.f64 (/.f64 (cbrt.f64 (log.f64 (-.f64 1 x))) (log.f64 (+.f64 1 x))) (/.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 1 x))) 2) 1))
(+.f64 0 (/.f64 (log.f64 (-.f64 1 x)) (log1p.f64 x)))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 (+.f64 1 x)))) (/.f64 (log.f64 (-.f64 1 x)) (sqrt.f64 (log.f64 (+.f64 1 x)))))
(+.f64 0 (/.f64 (log.f64 (-.f64 1 x)) (log1p.f64 x)))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 (+.f64 1 x))) 2)) (/.f64 (log.f64 (-.f64 1 x)) (cbrt.f64 (log.f64 (+.f64 1 x)))))
(+.f64 0 (/.f64 (log.f64 (-.f64 1 x)) (log1p.f64 x)))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(*.f64 (/.f64 (log.f64 (-.f64 1 x)) (sqrt.f64 (log.f64 (+.f64 1 x)))) (/.f64 1 (sqrt.f64 (log.f64 (+.f64 1 x)))))
(+.f64 0 (/.f64 (log.f64 (-.f64 1 x)) (log1p.f64 x)))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(*.f64 (/.f64 (log.f64 (-.f64 1 x)) (cbrt.f64 (log.f64 (+.f64 1 x)))) (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 (+.f64 1 x))) 2)))
(+.f64 0 (/.f64 (log.f64 (-.f64 1 x)) (log1p.f64 x)))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(*.f64 (/.f64 -1 (log.f64 (+.f64 1 x))) (neg.f64 (log.f64 (-.f64 1 x))))
(+.f64 0 (/.f64 (log.f64 (-.f64 1 x)) (log1p.f64 x)))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (-.f64 1 x))) 1) (/.f64 (sqrt.f64 (log.f64 (-.f64 1 x))) (log.f64 (+.f64 1 x))))
(+.f64 0 (/.f64 (log.f64 (-.f64 1 x)) (log1p.f64 x)))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 1 x))) 2)) (/.f64 (sqrt.f64 (log.f64 (-.f64 1 x))) (cbrt.f64 (log.f64 (+.f64 1 x)))))
(+.f64 0 (/.f64 (log.f64 (-.f64 1 x)) (log1p.f64 x)))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (-.f64 1 x))) (cbrt.f64 (log.f64 (+.f64 1 x)))) (/.f64 (sqrt.f64 (log.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 1 x))) 2)))
(+.f64 0 (/.f64 (log.f64 (-.f64 1 x)) (log1p.f64 x)))
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 1 x))) 2) 1) (/.f64 (cbrt.f64 (log.f64 (-.f64 1 x))) (log.f64 (+.f64 1 x))))
(+.f64 0 (/.f64 (log.f64 (-.f64 1 x)) (log1p.f64 x)))
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 1 x))) 2) (sqrt.f64 (log.f64 (+.f64 1 x)))) (/.f64 (cbrt.f64 (log.f64 (-.f64 1 x))) (sqrt.f64 (log.f64 (+.f64 1 x)))))
(+.f64 0 (/.f64 (log.f64 (-.f64 1 x)) (log1p.f64 x)))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(*.f64 (/.f64 (cbrt.f64 (log.f64 (-.f64 1 x))) (sqrt.f64 (log.f64 (+.f64 1 x)))) (/.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 1 x))) 2) (sqrt.f64 (log.f64 (+.f64 1 x)))))
(+.f64 0 (/.f64 (log.f64 (-.f64 1 x)) (log1p.f64 x)))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 1 x))) 2) (pow.f64 (cbrt.f64 (log.f64 (+.f64 1 x))) 2)) (cbrt.f64 (/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 1 x))) 2) (cbrt.f64 (/.f64 (log.f64 (-.f64 1 x)) (log1p.f64 x)))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))
(*.f64 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 1 x))) 2) (log.f64 (+.f64 1 x))) (cbrt.f64 (log.f64 (-.f64 1 x))))
(+.f64 0 (/.f64 (log.f64 (-.f64 1 x)) (log1p.f64 x)))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(*.f64 (/.f64 1 (/.f64 (log.f64 (+.f64 1 x)) (pow.f64 (cbrt.f64 (log.f64 (-.f64 1 x))) 2))) (cbrt.f64 (log.f64 (-.f64 1 x))))
(+.f64 0 (/.f64 (log.f64 (-.f64 1 x)) (log1p.f64 x)))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(pow.f64 (/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x))) 1)
(+.f64 0 (/.f64 (log.f64 (-.f64 1 x)) (log1p.f64 x)))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))) 2)
(+.f64 0 (/.f64 (log.f64 (-.f64 1 x)) (log1p.f64 x)))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))) 3)
(+.f64 0 (/.f64 (log.f64 (-.f64 1 x)) (log1p.f64 x)))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(pow.f64 (pow.f64 (/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x))) 3) 1/3)
(+.f64 0 (/.f64 (log.f64 (-.f64 1 x)) (log1p.f64 x)))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(pow.f64 (/.f64 (log.f64 (+.f64 1 x)) (log.f64 (-.f64 1 x))) -1)
(+.f64 0 (/.f64 (log.f64 (-.f64 1 x)) (log1p.f64 x)))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(neg.f64 (/.f64 (log.f64 (-.f64 1 x)) (neg.f64 (log.f64 (+.f64 1 x)))))
(+.f64 0 (/.f64 (log.f64 (-.f64 1 x)) (log1p.f64 x)))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x))) 2))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (-.f64 1 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 (log.f64 (+.f64 1 x)))))
(+.f64 0 (/.f64 (log.f64 (-.f64 1 x)) (log1p.f64 x)))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x))))))
(+.f64 0 (/.f64 (log.f64 (-.f64 1 x)) (log1p.f64 x)))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x))) 3))
(+.f64 0 (/.f64 (log.f64 (-.f64 1 x)) (log1p.f64 x)))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))))
(+.f64 0 (/.f64 (log.f64 (-.f64 1 x)) (log1p.f64 x)))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(exp.f64 (log.f64 (/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))))
(+.f64 0 (/.f64 (log.f64 (-.f64 1 x)) (log1p.f64 x)))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))))
(+.f64 0 (/.f64 (log.f64 (-.f64 1 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
1.0ms	x	@	-inf	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
0.0ms	x	@	inf	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
0.0ms	x	@	0	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))

rewrite58.0ms (0.6%)

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

Outputs

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

simplify59.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1324×	`associate-/r*`
1038×	`associate-r`
916×	`associate-l`
662×	`associate-/l*`
630×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	190	2792
1	587	2560
2	2314	2508

Stop Event

1×	node limit

Counts

42 → 80

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

eval277.0ms (2.7%)

Compiler: Compiled 10346 to 7528 computations (27.2% saved)

prune84.0ms (0.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	353	5	358
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	354	6	360

Error

Counts

360 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x))
▶	0.1b	(pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 3)
✓	0.0b	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
▶	0.2b	(-.f64 -1 x)
▶	0.1b	(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
	1.1b	-1

Compiler

Compiled 42 to 31 computations (26.2% saved)

localize9.0ms (0.1%)

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

localize2.0ms (0%)

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

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
	0.0b	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
✓	0.1b	(pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 3)

Compiler

Compiled 32 to 9 computations (71.9% saved)

series35.0ms (0.3%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
15.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 3)
14.0ms	x	@	inf	(pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 3)
2.0ms	x	@	0	(pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 3)
2.0ms	x	@	-inf	(cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
2.0ms	x	@	inf	(cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))

rewrite356.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1600×	`add-sqr-sqrt`
1568×	`*-un-lft-identity`
1482×	`add-cube-cbrt`
1466×	`add-cbrt-cube`
196×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	42
1	232	34
2	2734	34

Stop Event

1×	node limit

Counts

2 → 75

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 3)
(cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))

Outputs

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

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

simplify222.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1068×	`associate-r`
796×	`fma-def`
790×	`*-commutative`
704×	`associate-l`
610×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	550	24855
1	1746	22951
2	7493	22951

Stop Event

1×	node limit

Counts

99 → 160

Calls

Call 1

Inputs
-1
(-.f64 (.f64 (+.f64 (.f64 -2/3 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)) (.f64 -1/3 (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) x) 1)
(-.f64 (+.f64 (.f64 (+.f64 (.f64 -2/3 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)) (.f64 -1/3 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) x) (.f64 (+.f64 (.f64 -1/3 (+.f64 1/2 (.f64 1/3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))) (+.f64 (.f64 (+.f64 (.f64 -2/3 (/.f64 (+.f64 1/2 (.f64 1/3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (cbrt.f64 -1))) (.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) (cbrt.f64 -1)) (*.f64 2/9 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))) (pow.f64 x 2))) 1)
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(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log1p.f64 (neg.f64 x)) 2)) 1) (/.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (log1p.f64 (neg.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log1p.f64 (neg.f64 x)) 2)) (sqrt.f64 (log1p.f64 (neg.f64 x)))) (/.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (sqrt.f64 (log1p.f64 (neg.f64 x)))))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 3) 1/6) 3) (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 3) 1/6) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) 2) 3) (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 (neg.f64 x)))
(/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 3))
(/.f64 1 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 3) 1))
(/.f64 (sqrt.f64 (log1p.f64 (neg.f64 x))) (/.f64 (log1p.f64 (neg.f64 x)) (sqrt.f64 (log1p.f64 (neg.f64 x)))))
(/.f64 (cbrt.f64 (pow.f64 (log1p.f64 (neg.f64 x)) 2)) (/.f64 (log1p.f64 (neg.f64 x)) (cbrt.f64 (log1p.f64 (neg.f64 x)))))
(/.f64 -1 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 3)))
(/.f64 (neg.f64 (log1p.f64 (neg.f64 x))) (neg.f64 (log1p.f64 (neg.f64 x))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 2) (cbrt.f64 (log1p.f64 (neg.f64 x)))) (cbrt.f64 (log1p.f64 (neg.f64 x))))
(/.f64 (*.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 2)) (cbrt.f64 (log1p.f64 (neg.f64 x))))
(/.f64 (/.f64 (log1p.f64 (neg.f64 x)) (sqrt.f64 (log1p.f64 (neg.f64 x)))) (sqrt.f64 (log1p.f64 (neg.f64 x))))
(/.f64 (/.f64 (log1p.f64 (neg.f64 x)) (cbrt.f64 (pow.f64 (log1p.f64 (neg.f64 x)) 2))) (cbrt.f64 (log1p.f64 (neg.f64 x))))
(/.f64 (/.f64 (log1p.f64 (neg.f64 x)) 1) (log1p.f64 (neg.f64 x)))
(/.f64 (neg.f64 (neg.f64 (log1p.f64 (neg.f64 x)))) (neg.f64 (neg.f64 (log1p.f64 (neg.f64 x)))))
(neg.f64 (/.f64 (log1p.f64 (neg.f64 x)) (neg.f64 (log1p.f64 (neg.f64 x)))))
(sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 3) 2))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 3)))
(exp.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 3)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 3)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 3)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))) 1)
(*.f64 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 1)
(*.f64 1 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
(*.f64 (pow.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 (neg.f64 x))) 1/6) (pow.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 (neg.f64 x))) 1/6))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) 2))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) 2) (cbrt.f64 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))))
(*.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (cbrt.f64 (/.f64 1 (log1p.f64 (neg.f64 x)))))
(*.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (/.f64 1 (cbrt.f64 (log1p.f64 (neg.f64 x)))))
(*.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (pow.f64 (/.f64 1 (log1p.f64 (neg.f64 x))) 1/3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 (neg.f64 x)))) 1/3) (pow.f64 (sqrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 (neg.f64 x)))) 1/3))
(/.f64 1 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
(/.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (cbrt.f64 (log1p.f64 (neg.f64 x))))
(/.f64 (cbrt.f64 (neg.f64 (log1p.f64 (neg.f64 x)))) (cbrt.f64 (neg.f64 (log1p.f64 (neg.f64 x)))))
(/.f64 (neg.f64 (cbrt.f64 (log1p.f64 (neg.f64 x)))) (neg.f64 (cbrt.f64 (log1p.f64 (neg.f64 x)))))
(pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 1)
(pow.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 (neg.f64 x))) 1/3)
(pow.f64 (pow.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 (neg.f64 x))) 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) 3)
(sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 2))
(log.f64 (exp.f64 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))))
(exp.f64 (log.f64 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) 1))
(exp.f64 (*.f64 (log.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 (neg.f64 x)))) 1/3))
(log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))))

Outputs
-1
(-.f64 (.f64 (+.f64 (.f64 -2/3 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)) (.f64 -1/3 (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) x) 1)
(fma.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4)) -1) x -1)
(fma.f64 (*.f64 -1 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4))) x -1)
(-.f64 (+.f64 (.f64 (+.f64 (.f64 -2/3 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)) (.f64 -1/3 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) x) (.f64 (+.f64 (.f64 -1/3 (+.f64 1/2 (.f64 1/3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))) (+.f64 (.f64 (+.f64 (.f64 -2/3 (/.f64 (+.f64 1/2 (.f64 1/3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (cbrt.f64 -1))) (.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) (cbrt.f64 -1)) (*.f64 2/9 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))) (pow.f64 x 2))) 1)
(+.f64 (fma.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4)) -1) x (.f64 (fma.f64 -1/3 (+.f64 1/2 (.f64 1/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) (fma.f64 (fma.f64 -2/3 (/.f64 (+.f64 1/2 (.f64 1/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) (cbrt.f64 -1)) (.f64 1/9 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4))))) (cbrt.f64 -1) (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 2/9))) (*.f64 x x))) -1)
(fma.f64 (.f64 -1 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4))) x (fma.f64 (fma.f64 -1/3 (fma.f64 1/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 1/2) (fma.f64 (cbrt.f64 -1) (fma.f64 -2/3 (/.f64 (fma.f64 1/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 1/2) (cbrt.f64 -1)) (.f64 1/9 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4))))) (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 2/9))) (.f64 x x) -1))
(-.f64 (+.f64 (.f64 (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (+.f64 1/2 (.f64 1/3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))) (+.f64 (.f64 (cbrt.f64 -1) (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 8)) 1/3) (+.f64 1/2 (.f64 1/3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))) (.f64 2/3 (/.f64 (-.f64 (.f64 1/27 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (+.f64 5/12 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (+.f64 1/2 (.f64 1/3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))))) (cbrt.f64 -1))))) (+.f64 (.f64 1/3 (-.f64 (.f64 1/27 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (+.f64 5/12 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (+.f64 1/2 (.f64 1/3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))))))) (.f64 -1/3 (.f64 (+.f64 (.f64 -2/3 (/.f64 (+.f64 1/2 (.f64 1/3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (cbrt.f64 -1))) (.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3)))))) (pow.f64 x 3)) (+.f64 (.f64 (+.f64 (.f64 -2/3 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)) (.f64 -1/3 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) x) (.f64 (+.f64 (.f64 -1/3 (+.f64 1/2 (.f64 1/3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))) (+.f64 (.f64 (+.f64 (.f64 -2/3 (/.f64 (+.f64 1/2 (.f64 1/3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (cbrt.f64 -1))) (.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) (cbrt.f64 -1)) (.f64 2/9 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))) (pow.f64 x 2)))) 1)
(+.f64 (fma.f64 (fma.f64 2/9 (.f64 (+.f64 1/2 (.f64 1/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)))) (fma.f64 (cbrt.f64 -1) (fma.f64 2/9 (.f64 (+.f64 1/2 (.f64 1/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 8)))) (/.f64 (.f64 2/3 (-.f64 (-.f64 (/.f64 1/27 (pow.f64 (cbrt.f64 -1) 2)) 5/12) (.f64 (.f64 (+.f64 1/2 (.f64 1/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)))) 2/3))) (cbrt.f64 -1))) (fma.f64 1/3 (-.f64 (-.f64 (/.f64 1/27 (pow.f64 (cbrt.f64 -1) 2)) 5/12) (.f64 (.f64 (+.f64 1/2 (.f64 1/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)))) 2/3)) (.f64 -1/3 (.f64 (fma.f64 -2/3 (/.f64 (+.f64 1/2 (.f64 1/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) (cbrt.f64 -1)) (.f64 1/9 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4))))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))))))) (pow.f64 x 3) (fma.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4)) -1) x (.f64 (fma.f64 -1/3 (+.f64 1/2 (.f64 1/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) (fma.f64 (fma.f64 -2/3 (/.f64 (+.f64 1/2 (.f64 1/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) (cbrt.f64 -1)) (.f64 1/9 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4))))) (cbrt.f64 -1) (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 2/9))) (.f64 x x)))) -1)
(fma.f64 (fma.f64 2/9 (.f64 (fma.f64 1/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 1/2) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)))) (fma.f64 (cbrt.f64 -1) (fma.f64 2/3 (/.f64 (-.f64 (/.f64 1/27 (pow.f64 (cbrt.f64 -1) 2)) (fma.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))) 2/3) (fma.f64 1/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 1/2) 5/12)) (cbrt.f64 -1)) (.f64 (fma.f64 1/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 1/2) (.f64 2/9 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 8)))))) (fma.f64 1/3 (-.f64 (/.f64 1/27 (pow.f64 (cbrt.f64 -1) 2)) (fma.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))) 2/3) (fma.f64 1/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 1/2) 5/12)) (.f64 -1/3 (.f64 (fma.f64 -2/3 (/.f64 (fma.f64 1/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 1/2) (cbrt.f64 -1)) (.f64 1/9 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4))))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))))))) (pow.f64 x 3) (fma.f64 (.f64 -1 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4))) x (fma.f64 (fma.f64 -1/3 (fma.f64 1/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 1/2) (fma.f64 (cbrt.f64 -1) (fma.f64 -2/3 (/.f64 (fma.f64 1/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 1/2) (cbrt.f64 -1)) (.f64 1/9 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4))))) (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 2/9))) (.f64 x x) -1)))
(.f64 -1 (.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (log.f64 (/.f64 1 x))) (pow.f64 1 1/3)))
(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)))
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(*.f64 1 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 3))
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(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 3) 1/6) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 3) 1/6) (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) (.f64 (pow.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 1/6) (pow.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 1/6)))
(.f64 (sqrt.f64 (log1p.f64 (neg.f64 x))) (.f64 (sqrt.f64 (log1p.f64 (neg.f64 x))) (/.f64 1 (log1p.f64 (neg.f64 x)))))
1
(*.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 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) 2) (.f64 (cbrt.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 (cbrt.f64 (pow.f64 (log1p.f64 (neg.f64 x)) 2)) (.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (/.f64 1 (log1p.f64 (neg.f64 x)))))
(.f64 (cbrt.f64 (pow.f64 (log1p.f64 (neg.f64 x)) 2)) (.f64 (/.f64 1 (log1p.f64 (neg.f64 x))) (cbrt.f64 (log1p.f64 (neg.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (neg.f64 x)) 2)) (/.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (log1p.f64 (neg.f64 x))))
(*.f64 (/.f64 1 (log1p.f64 (neg.f64 x))) (log1p.f64 (neg.f64 x)))
1
(*.f64 (neg.f64 (log1p.f64 (neg.f64 x))) (/.f64 1 (neg.f64 (log1p.f64 (neg.f64 x)))))
1
(.f64 (.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 2) 1) (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
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1
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (log1p.f64 (neg.f64 x)) 2))) (/.f64 (log1p.f64 (neg.f64 x)) (cbrt.f64 (log1p.f64 (neg.f64 x)))))
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1
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(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) 2) 3) (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
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1
(/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 3))
(/.f64 1 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(*.f64 (/.f64 1 (log1p.f64 (neg.f64 x))) (log1p.f64 x))
(/.f64 1 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 3) 1))
(/.f64 1 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(*.f64 (/.f64 1 (log1p.f64 (neg.f64 x))) (log1p.f64 x))
(/.f64 (sqrt.f64 (log1p.f64 (neg.f64 x))) (/.f64 (log1p.f64 (neg.f64 x)) (sqrt.f64 (log1p.f64 (neg.f64 x)))))
1
(/.f64 (cbrt.f64 (pow.f64 (log1p.f64 (neg.f64 x)) 2)) (/.f64 (log1p.f64 (neg.f64 x)) (cbrt.f64 (log1p.f64 (neg.f64 x)))))
(.f64 (cbrt.f64 (pow.f64 (log1p.f64 (neg.f64 x)) 2)) (.f64 (/.f64 1 (log1p.f64 (neg.f64 x))) (cbrt.f64 (log1p.f64 (neg.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (neg.f64 x)) 2)) (/.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (log1p.f64 (neg.f64 x))))
(/.f64 -1 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 3)))
(/.f64 1 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(*.f64 (/.f64 1 (log1p.f64 (neg.f64 x))) (log1p.f64 x))
(/.f64 (neg.f64 (log1p.f64 (neg.f64 x))) (neg.f64 (log1p.f64 (neg.f64 x))))
1
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 2) (cbrt.f64 (log1p.f64 (neg.f64 x)))) (cbrt.f64 (log1p.f64 (neg.f64 x))))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 2) 1)
(pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 2)
(/.f64 (*.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 2)) (cbrt.f64 (log1p.f64 (neg.f64 x))))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 2) 1)
(pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 2)
(/.f64 (/.f64 (log1p.f64 (neg.f64 x)) (sqrt.f64 (log1p.f64 (neg.f64 x)))) (sqrt.f64 (log1p.f64 (neg.f64 x))))
1
(/.f64 (/.f64 (log1p.f64 (neg.f64 x)) (cbrt.f64 (pow.f64 (log1p.f64 (neg.f64 x)) 2))) (cbrt.f64 (log1p.f64 (neg.f64 x))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (log1p.f64 (neg.f64 x)) 2))) (/.f64 (log1p.f64 (neg.f64 x)) (cbrt.f64 (log1p.f64 (neg.f64 x)))))
(/.f64 (/.f64 (log1p.f64 (neg.f64 x)) (cbrt.f64 (log1p.f64 (neg.f64 x)))) (cbrt.f64 (pow.f64 (log1p.f64 (neg.f64 x)) 2)))
(/.f64 (/.f64 (log1p.f64 (neg.f64 x)) 1) (log1p.f64 (neg.f64 x)))
1
(/.f64 (neg.f64 (neg.f64 (log1p.f64 (neg.f64 x)))) (neg.f64 (neg.f64 (log1p.f64 (neg.f64 x)))))
1
(neg.f64 (/.f64 (log1p.f64 (neg.f64 x)) (neg.f64 (log1p.f64 (neg.f64 x)))))
1
(sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 3) 2))
(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 (exp.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 3)))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 3))))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 3) 3))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 3)))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(exp.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 3)))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 3)) 1))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 3)))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))) 1)
(cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(*.f64 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 1)
(cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(*.f64 1 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
(cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(*.f64 (pow.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 (neg.f64 x))) 1/6) (pow.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 (neg.f64 x))) 1/6))
1
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) (pow.f64 (cbrt.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 (cbrt.f64 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 2) 1/3))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) 2) (cbrt.f64 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))))
(cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(*.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (cbrt.f64 (/.f64 1 (log1p.f64 (neg.f64 x)))))
(*.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (/.f64 1 (cbrt.f64 (log1p.f64 (neg.f64 x)))))
1
(*.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (pow.f64 (/.f64 1 (log1p.f64 (neg.f64 x))) 1/3))
(*.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (cbrt.f64 (/.f64 1 (log1p.f64 (neg.f64 x)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 2)))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
(cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 (neg.f64 x)))) 1/3) (pow.f64 (sqrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 (neg.f64 x)))) 1/3))
1
(/.f64 1 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
(/.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (cbrt.f64 (log1p.f64 (neg.f64 x))))
1
(/.f64 (cbrt.f64 (neg.f64 (log1p.f64 (neg.f64 x)))) (cbrt.f64 (neg.f64 (log1p.f64 (neg.f64 x)))))
1
(/.f64 (neg.f64 (cbrt.f64 (log1p.f64 (neg.f64 x)))) (neg.f64 (cbrt.f64 (log1p.f64 (neg.f64 x)))))
1
(pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 1)
(cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(pow.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 (neg.f64 x))) 1/3)
1
(pow.f64 (pow.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 (neg.f64 x))) 1/6) 2)
1
(pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) 3)
(cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 2))
(fabs.f64 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
(log.f64 (exp.f64 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))))
(cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))))
(cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))))
(cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(exp.f64 (log.f64 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))))
(cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) 1))
(cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 (neg.f64 x)))) 1/3))
1
(log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))))
(cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 18 to 10 computations (44.4% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite95.0ms (0.9%)

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))))))))

simplify66.0ms (0.6%)

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)

eval1.4s (13.1%)

Compiler: Compiled 29257 to 23135 computations (20.9% saved)

prune98.0ms (0.9%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	286	1	287
Fresh	0	1	1
Picked	1	0	1
Done	0	4	4
Total	287	6	293

Error

Counts

293 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 3)
✓	0.0b	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
▶	0.1b	(-.f64 (+.f64 (.f64 -1/2 (.f64 x x)) -1) x)
✓	0.2b	(-.f64 -1 x)
✓	0.1b	(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
	1.1b	-1

Compiler

Compiled 43 to 32 computations (25.6% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 28 to 15 computations (46.4% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite118.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 138

Calls

Call 1

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

Outputs

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

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

simplify111.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1730×	`associate-*r/`
1420×	`associate-+r-`
1058×	`associate--r+`
728×	`fma-def`
576×	`associate--l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	350	8246
1	1009	7576
2	4999	7562

Stop Event

1×	node limit

Counts

162 → 218

Calls

Call 1

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

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

eval109.0ms (1%)

Compiler: Compiled 5883 to 3572 computations (39.3% saved)

prune37.0ms (0.4%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	216	2	218
Fresh	0	1	1
Picked	1	0	1
Done	1	3	4
Total	218	6	224

Error

Counts

224 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 3)
▶	0.1b	(/.f64 (-.f64 (pow.f64 (+.f64 (.f64 -1/2 (.f64 x x)) -1) 2) (.f64 x x)) (+.f64 x (+.f64 (.f64 -1/2 (*.f64 x x)) -1)))
✓	0.0b	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
✓	0.2b	(-.f64 -1 x)
▶	0.1b	(+.f64 (.f64 x (-.f64 (.f64 -1/2 x) 1)) -1)
	1.1b	-1

Compiler

Compiled 57 to 41 computations (28.1% saved)

localize12.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 29 to 22 computations (24.1% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite55.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 19

Calls

Call 1

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

Outputs

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

simplify64.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1506×	`fma-def`
1432×	`associate--r+`
880×	`associate-r`
792×	`associate-l`
630×	`log-prod`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	66	559
1	156	555
2	439	551
3	2864	539
4	6821	539

Stop Event

1×	node limit

Counts

31 → 34

Calls

Call 1

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

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

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 74 to 42 computations (43.2% saved)

series5.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite108.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1738×	`associate-/r*`
1686×	`associate-/l*`
320×	`add-sqr-sqrt`
308×	`*-un-lft-identity`
306×	`pow1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	101
1	311	101
2	4525	75

Stop Event

1×	node limit

Counts

3 → 169

Calls

Call 1

Inputs

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

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

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

Outputs

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

simplify120.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

914×	`associate-+l+`
866×	`associate-+r+`
746×	`+-commutative`
474×	`associate-/l*`
472×	`associate--r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	432	9071
1	1152	8709
2	5378	8697

Stop Event

1×	node limit

Counts

205 → 257

Calls

Call 1

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

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

eval180.0ms (1.7%)

Compiler: Compiled 10362 to 6457 computations (37.7% saved)

prune52.0ms (0.5%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	322	1	323
Fresh	0	1	1
Picked	1	0	1
Done	0	4	4
Total	323	6	329

Error

Counts

329 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 3)
	0.1b	(/.f64 (-.f64 (+.f64 1 (.f64 x x)) (.f64 x x)) (+.f64 x (+.f64 (.f64 -1/2 (.f64 x x)) -1)))
✓	0.0b	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
✓	0.2b	(-.f64 -1 x)
✓	0.1b	(+.f64 (.f64 x (-.f64 (.f64 -1/2 x) 1)) -1)
	1.1b	-1

Compiler

Compiled 53 to 37 computations (30.2% saved)

regimes13.0ms (0.1%)

Counts

11 → 1

Calls

Call 1

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

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

Calls

2 calls:

6.0ms	x
3.0ms	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))

Results

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

Compiler

Compiled 118 to 70 computations (40.7% saved)

regimes7.0ms (0.1%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Error	Segments	Branch
0.1b	1	`x`

Compiler

Compiled 84 to 49 computations (41.7% saved)

regimes5.0ms (0%)

Accuracy

Total -0.9b remaining (-445.2%)

Threshold costs -0.9b (-445.2%)

Counts

2 → 1

Calls

Call 1

Inputs
-1
(-.f64 -1 x)

Outputs
(-.f64 -1 x)

Calls

1 calls:

4.0ms

Results

Error	Segments	Branch
0.2b	1	`x`

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 23 to 18 computations (21.7% saved)

soundness16.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×

saturated

Compiler

Compiled 34 to 23 computations (32.4% saved)

end25.0ms (0.2%)

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

Details

analyze509.0ms (4.9%)

sample5.8s (55.7%)

preprocess6.0ms (0.1%)

simplify15.0ms (0.1%)

eval1.0ms (0%)

prune1.0ms (0%)

localize12.0ms (0.1%)

series48.0ms (0.5%)

rewrite83.0ms (0.8%)

simplify111.0ms (1.1%)

localize9.0ms (0.1%)

series1.0ms (0%)

rewrite58.0ms (0.6%)

simplify59.0ms (0.6%)

eval277.0ms (2.7%)

prune84.0ms (0.8%)

localize9.0ms (0.1%)

localize2.0ms (0%)

localize11.0ms (0.1%)

series35.0ms (0.3%)

rewrite356.0ms (3.4%)

simplify222.0ms (2.1%)

localize7.0ms (0.1%)

series1.0ms (0%)

rewrite95.0ms (0.9%)

simplify66.0ms (0.6%)

eval1.4s (13.1%)

prune98.0ms (0.9%)

localize10.0ms (0.1%)

series1.0ms (0%)

rewrite118.0ms (1.1%)

simplify111.0ms (1.1%)

eval109.0ms (1%)

prune37.0ms (0.4%)

localize12.0ms (0.1%)

series1.0ms (0%)

rewrite55.0ms (0.5%)

simplify64.0ms (0.6%)

localize24.0ms (0.2%)

series5.0ms (0%)

rewrite108.0ms (1%)

simplify120.0ms (1.2%)

eval180.0ms (1.7%)

prune52.0ms (0.5%)

regimes13.0ms (0.1%)

regimes7.0ms (0.1%)

regimes5.0ms (0%)

simplify5.0ms (0%)

soundness16.0ms (0.2%)

end25.0ms (0.2%)

Profiling