Details

analyze434.0ms (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)

sample5.3s (60.3%)

Results

3.5s	4156×	body	1024	valid
966.0ms	2080×	body	512	valid
471.0ms	405×	body	2048	valid
332.0ms	1615×	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 (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 3

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.0b

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))
▶	61.8b	(/.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)))
✓	5.7b	(log.f64 (+.f64 1 x))
✓	5.7b	(log.f64 (-.f64 1 x))

Compiler

Compiled 26 to 19 computations (26.9% saved)

series11.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
6.0ms	x	@	0	(log.f64 (-.f64 1 x))
2.0ms	x	@	-inf	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
1.0ms	x	@	inf	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
0.0ms	x	@	inf	(log.f64 (-.f64 1 x))
0.0ms	x	@	0	(log.f64 (+.f64 1 x))

rewrite109.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 125

Calls

Call 1

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

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

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

simplify98.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

161 → 267

Calls

Call 1

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

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

localize7.0ms (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))

rewrite54.0ms (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 x) (log1p.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log1p.f64 x) (/.f64 1 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (log1p.f64 x) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) (sqrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (log1p.f64 x)) (.f64 (sqrt.f64 (log1p.f64 x)) (/.f64 1 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 2) (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (.f64 (cbrt.f64 (log1p.f64 x)) (/.f64 1 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (log1p.f64 x)) (log1p.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (log1p.f64 x)) (/.f64 1 (neg.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 (log1p.f64 x))) (/.f64 (log1p.f64 x) (sqrt.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (/.f64 (log1p.f64 x) (cbrt.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (sqrt.f64 (log1p.f64 x))) (/.f64 (cbrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (log1p.f64 x)) 1) (/.f64 (sqrt.f64 (log1p.f64 x)) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (/.f64 (sqrt.f64 (log1p.f64 x)) (cbrt.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) 1) (/.f64 (cbrt.f64 (log1p.f64 x)) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))))))

Outputs

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

simplify57.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1220×	`associate-/r*`
996×	`fma-def`
742×	`times-frac`
598×	`associate-/l*`
584×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	188	2430
1	601	2216
2	1969	2030

Stop Event

1×	node limit

Counts

42 → 73

Calls

Call 1

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

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

eval172.0ms (2%)

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

prune52.0ms (0.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	336	4	340
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	337	5	342

Error

Counts

342 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
▶	0.2b	(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
▶	0.4b	(-.f64 -1 x)
▶	0.2b	(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
	1.1b	-1

Compiler

Compiled 32 to 23 computations (28.1% saved)

localize9.0ms (0.1%)

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

localize3.0ms (0%)

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

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 21 to 14 computations (33.3% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite62.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 39

Calls

Call 1

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

Outputs

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

simplify66.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

51 → 55

Calls

Call 1

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

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

eval278.0ms (3.2%)

Compiler: Compiled 823 to 552 computations (32.9% saved)

prune9.0ms (0.1%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	54	1	55
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	54	6	60

Error

Counts

60 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
✓	0.2b	(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
✓	0.4b	(-.f64 -1 x)
✓	0.2b	(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
▶	0.2b	(+.f64 (.f64 x (.f64 x -1/2)) (-.f64 -1 x))
	1.1b	-1

Compiler

Compiled 42 to 30 computations (28.6% saved)

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 24 to 16 computations (33.3% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite328.0ms (3.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1010×	`associate-*r/`
946×	`*-commutative`
660×	`associate-*l/`
608×	`distribute-lft-in`
588×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	205	21
2	2707	21

Stop Event

1×	node limit

Counts

1 → 92

Calls

Call 1

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

Outputs

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

simplify121.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1822×	`associate-*r/`
1396×	`associate-*l/`
698×	`associate-/r/`
628×	`+-commutative`
520×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	275	6726
1	813	5628
2	3700	5628

Stop Event

1×	node limit

Counts

104 → 158

Calls

Call 1

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

Outputs
-1
(-.f64 (*.f64 -1 x) 1)
(fma.f64 -1 x -1)
(-.f64 -1 x)
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)
(fma.f64 x (+.f64 -1 (*.f64 x -1/2)) -1)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)
(fma.f64 x (+.f64 -1 (*.f64 x -1/2)) -1)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(*.f64 -1/2 (pow.f64 x 2))
(.f64 -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)
(fma.f64 x (+.f64 -1 (*.f64 x -1/2)) -1)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)
(fma.f64 x (+.f64 -1 (*.f64 x -1/2)) -1)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(*.f64 -1/2 (pow.f64 x 2))
(.f64 -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)
(fma.f64 x (+.f64 -1 (*.f64 x -1/2)) -1)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)
(fma.f64 x (+.f64 -1 (*.f64 x -1/2)) -1)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(-.f64 -1 (+.f64 x (.f64 (.f64 x x) 1/2)))
(fma.f64 x (+.f64 -1 (*.f64 x -1/2)) -1)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(-.f64 (fma.f64 (*.f64 x x) -1/2 -1) x)
(fma.f64 x (+.f64 -1 (*.f64 x -1/2)) -1)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(-.f64 (neg.f64 x) (-.f64 1 (.f64 -1/2 (.f64 x x))))
(fma.f64 x (+.f64 -1 (*.f64 x -1/2)) -1)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(-.f64 (exp.f64 (log.f64 (.f64 x (+.f64 -1 (.f64 x -1/2))))) 1)
(fma.f64 x (+.f64 -1 (*.f64 x -1/2)) -1)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(-.f64 (exp.f64 (log1p.f64 (.f64 -1/2 (.f64 x x)))) (-.f64 1 (-.f64 -1 x)))
(-.f64 (exp.f64 (log1p.f64 (.f64 -1/2 (.f64 x x)))) (+.f64 2 x))
(+.f64 -1 (-.f64 (expm1.f64 (log1p.f64 (.f64 x (.f64 x -1/2)))) x))
(-.f64 (.f64 x (+.f64 -1 (.f64 x -1/2))) 1)
(fma.f64 x (+.f64 -1 (*.f64 x -1/2)) -1)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(-.f64 (/.f64 1 (+.f64 x -1)) (-.f64 (/.f64 x (/.f64 (+.f64 x -1) x)) (.f64 -1/2 (.f64 x x))))
(+.f64 (-.f64 (/.f64 1 (+.f64 -1 x)) (.f64 (/.f64 x (+.f64 -1 x)) x)) (.f64 -1/2 (*.f64 x x)))
(-.f64 (/.f64 1 (+.f64 -1 x)) (.f64 x (-.f64 (/.f64 x (+.f64 -1 x)) (.f64 x -1/2))))
(-.f64 (/.f64 (pow.f64 (.f64 -1/2 (.f64 x x)) 2) (-.f64 (.f64 -1/2 (.f64 x x)) (-.f64 -1 x))) (/.f64 (pow.f64 (-.f64 -1 x) 2) (-.f64 (.f64 -1/2 (.f64 x x)) (-.f64 -1 x))))
(fma.f64 x (+.f64 -1 (*.f64 x -1/2)) -1)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(-.f64 (/.f64 -1 (+.f64 1 (.f64 x (+.f64 x -1)))) (-.f64 (/.f64 (pow.f64 x 3) (+.f64 1 (.f64 x (+.f64 x -1)))) (.f64 -1/2 (.f64 x x))))
(+.f64 (-.f64 (/.f64 -1 (+.f64 1 (.f64 x (+.f64 -1 x)))) (/.f64 (pow.f64 x 3) (+.f64 1 (.f64 x (+.f64 -1 x))))) (.f64 -1/2 (.f64 x x)))
(-.f64 (fma.f64 -1/2 (*.f64 x x) (/.f64 -1 (fma.f64 x (+.f64 -1 x) 1))) (/.f64 (pow.f64 x 3) (fma.f64 x (+.f64 -1 x) 1)))
(-.f64 (+.f64 (.f64 -1/2 (.f64 x x)) (/.f64 1 (+.f64 x -1))) (/.f64 x (/.f64 (+.f64 x -1) x)))
(+.f64 (-.f64 (/.f64 1 (+.f64 -1 x)) (.f64 (/.f64 x (+.f64 -1 x)) x)) (.f64 -1/2 (*.f64 x x)))
(-.f64 (/.f64 1 (+.f64 -1 x)) (.f64 x (-.f64 (/.f64 x (+.f64 -1 x)) (.f64 x -1/2))))
(-.f64 (+.f64 (.f64 -1/2 (.f64 x x)) (/.f64 -1 (+.f64 1 (.f64 x (+.f64 x -1))))) (/.f64 (pow.f64 x 3) (+.f64 1 (.f64 x (+.f64 x -1)))))
(+.f64 (-.f64 (/.f64 -1 (+.f64 1 (.f64 x (+.f64 -1 x)))) (/.f64 (pow.f64 x 3) (+.f64 1 (.f64 x (+.f64 -1 x))))) (.f64 -1/2 (.f64 x x)))
(-.f64 (fma.f64 -1/2 (*.f64 x x) (/.f64 -1 (fma.f64 x (+.f64 -1 x) 1))) (/.f64 (pow.f64 x 3) (fma.f64 x (+.f64 -1 x) 1)))
(-.f64 (+.f64 (-.f64 -1 x) (exp.f64 (log1p.f64 (.f64 -1/2 (.f64 x x))))) 1)
(-.f64 (exp.f64 (log1p.f64 (.f64 -1/2 (.f64 x x)))) (+.f64 2 x))
(+.f64 -1 (-.f64 (expm1.f64 (log1p.f64 (.f64 x (.f64 x -1/2)))) x))
(-.f64 (+.f64 (fma.f64 (*.f64 x x) -1/2 -1) 0) x)
(fma.f64 x (+.f64 -1 (*.f64 x -1/2)) -1)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(.f64 (-.f64 (fma.f64 (.f64 x x) -1/2 -1) x) 1)
(fma.f64 x (+.f64 -1 (*.f64 x -1/2)) -1)
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(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x -1/2 -1) -1)) 2) (cbrt.f64 (+.f64 x (fma.f64 -1/2 (.f64 x x) 1)))) (cbrt.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/4) (pow.f64 (-.f64 -1 x) 2))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 -1/2 (.f64 x x)) (pow.f64 (.f64 -1/2 (.f64 x x)) 3)) (.f64 (-.f64 -1 x) (pow.f64 (-.f64 -1 x) 3))) (/.f64 1 (-.f64 (.f64 -1/2 (.f64 x x)) (-.f64 -1 x)))) (+.f64 (pow.f64 (-.f64 -1 x) 2) (pow.f64 (.f64 -1/2 (*.f64 x x)) 2)))
(/.f64 (-.f64 (.f64 -1/2 (.f64 (.f64 x x) (.f64 -1/8 (pow.f64 (.f64 x x) 3)))) (.f64 (-.f64 -1 x) (pow.f64 (-.f64 -1 x) 3))) (.f64 (-.f64 (.f64 -1/2 (.f64 x x)) (-.f64 -1 x)) (+.f64 (pow.f64 (.f64 -1/2 (*.f64 x x)) 2) (pow.f64 (-.f64 -1 x) 2))))
(/.f64 (-.f64 (pow.f64 (.f64 x (.f64 x -1/2)) 4) (pow.f64 (-.f64 -1 x) 4)) (.f64 (+.f64 x (fma.f64 -1/2 (.f64 x x) 1)) (+.f64 (*.f64 (pow.f64 x 4) 1/4) (pow.f64 (-.f64 -1 x) 2))))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (.f64 -1/2 (.f64 x x)) 2) 3) (pow.f64 (pow.f64 (-.f64 -1 x) 2) 3)) (/.f64 1 (-.f64 (.f64 -1/2 (.f64 x x)) (-.f64 -1 x)))) (+.f64 (.f64 (.f64 -1/2 (.f64 x x)) (pow.f64 (.f64 -1/2 (.f64 x x)) 3)) (.f64 (pow.f64 (-.f64 -1 x) 2) (+.f64 (pow.f64 (-.f64 -1 x) 2) (pow.f64 (.f64 -1/2 (*.f64 x x)) 2)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 (.f64 -1/2 (.f64 x x)) 2) 3) (pow.f64 (pow.f64 (-.f64 -1 x) 2) 3)) (-.f64 (.f64 -1/2 (.f64 x x)) (-.f64 -1 x))) (fma.f64 (.f64 -1/2 (.f64 x x)) (.f64 -1/8 (pow.f64 (.f64 x x) 3)) (.f64 (pow.f64 (-.f64 -1 x) 2) (+.f64 (pow.f64 (.f64 -1/2 (*.f64 x x)) 2) (pow.f64 (-.f64 -1 x) 2)))))
(/.f64 (/.f64 (-.f64 (.f64 (pow.f64 (.f64 x x) 6) 1/64) (pow.f64 (-.f64 -1 x) 6)) (+.f64 x (fma.f64 -1/2 (.f64 x x) 1))) (fma.f64 (pow.f64 (-.f64 -1 x) 2) (+.f64 (.f64 (pow.f64 x 4) 1/4) (pow.f64 (-.f64 -1 x) 2)) (pow.f64 (.f64 x (.f64 x -1/2)) 4)))
(/.f64 (/.f64 (fma.f64 (pow.f64 (.f64 x x) 6) 1/64 (neg.f64 (pow.f64 (-.f64 -1 x) 6))) (+.f64 x (fma.f64 -1/2 (.f64 x x) 1))) (fma.f64 (pow.f64 (-.f64 -1 x) 2) (+.f64 (.f64 (pow.f64 x 4) 1/4) (pow.f64 (-.f64 -1 x) 2)) (pow.f64 (.f64 x (*.f64 x -1/2)) 4)))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (pow.f64 (.f64 x x) 3) (pow.f64 (.f64 x x) 3)) 1/64) (.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 (-.f64 -1 x) 3))) (/.f64 1 (+.f64 (pow.f64 (-.f64 -1 x) 2) (.f64 (.f64 -1/2 (.f64 x x)) (-.f64 (.f64 -1/2 (.f64 x x)) (-.f64 -1 x)))))) (-.f64 (pow.f64 (.f64 -1/2 (*.f64 x x)) 3) (pow.f64 (-.f64 -1 x) 3)))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 x x) 6) 1/64) (pow.f64 (-.f64 -1 x) 6)) (.f64 (+.f64 (pow.f64 (-.f64 -1 x) 2) (.f64 -1/2 (.f64 (.f64 x x) (-.f64 (.f64 -1/2 (.f64 x x)) (-.f64 -1 x))))) (-.f64 (.f64 -1/8 (pow.f64 (.f64 x x) 3)) (pow.f64 (-.f64 -1 x) 3))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 x x) 6) 1/64) (pow.f64 (-.f64 -1 x) 6)) (.f64 (fma.f64 -1/2 (.f64 (.f64 x x) (+.f64 x (fma.f64 -1/2 (.f64 x x) 1))) (pow.f64 (-.f64 -1 x) 2)) (-.f64 (*.f64 (pow.f64 x 6) -1/8) (pow.f64 (-.f64 -1 x) 3))))
(/.f64 (fma.f64 (pow.f64 (.f64 x x) 6) 1/64 (neg.f64 (pow.f64 (-.f64 -1 x) 6))) (.f64 (fma.f64 -1/2 (.f64 (.f64 x x) (+.f64 x (fma.f64 -1/2 (.f64 x x) 1))) (pow.f64 (-.f64 -1 x) 2)) (-.f64 (.f64 (pow.f64 x 6) -1/8) (pow.f64 (-.f64 -1 x) 3))))
(/.f64 (.f64 (+.f64 (pow.f64 (pow.f64 (.f64 -1/2 (.f64 x x)) 3) 3) (pow.f64 (pow.f64 (-.f64 -1 x) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (-.f64 -1 x) 2) (.f64 (.f64 -1/2 (.f64 x x)) (-.f64 (.f64 -1/2 (.f64 x x)) (-.f64 -1 x)))))) (+.f64 (.f64 (.f64 (pow.f64 (.f64 x x) 3) (pow.f64 (.f64 x x) 3)) 1/64) (.f64 (pow.f64 (-.f64 -1 x) 3) (-.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 (.f64 -1/2 (*.f64 x x)) 3)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (.f64 -1/8 (pow.f64 (.f64 x x) 3)) 3) (pow.f64 (pow.f64 (-.f64 -1 x) 3) 3)) (+.f64 (pow.f64 (-.f64 -1 x) 2) (.f64 -1/2 (.f64 (.f64 x x) (-.f64 (.f64 -1/2 (.f64 x x)) (-.f64 -1 x)))))) (fma.f64 (pow.f64 (.f64 x x) 6) 1/64 (.f64 (pow.f64 (-.f64 -1 x) 3) (-.f64 (pow.f64 (-.f64 -1 x) 3) (.f64 -1/8 (pow.f64 (*.f64 x x) 3))))))
(/.f64 (+.f64 (.f64 -1/512 (pow.f64 (pow.f64 x 6) 3)) (pow.f64 (pow.f64 (-.f64 -1 x) 3) 3)) (.f64 (fma.f64 -1/2 (.f64 (.f64 x x) (+.f64 x (fma.f64 -1/2 (.f64 x x) 1))) (pow.f64 (-.f64 -1 x) 2)) (fma.f64 (pow.f64 (-.f64 -1 x) 3) (+.f64 (pow.f64 (-.f64 -1 x) 3) (.f64 1/8 (pow.f64 x 6))) (.f64 (pow.f64 (.f64 x x) 6) 1/64))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 -1/2 (.f64 x x)) 2) (pow.f64 (-.f64 -1 x) 2)) 1) (-.f64 (.f64 -1/2 (.f64 x x)) (-.f64 -1 x)))
(fma.f64 x (+.f64 -1 (*.f64 x -1/2)) -1)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 -1/2 (.f64 x x)) 2) (pow.f64 (-.f64 -1 x) 2)) (sqrt.f64 (-.f64 (.f64 -1/2 (.f64 x x)) (-.f64 -1 x)))) (sqrt.f64 (-.f64 (.f64 -1/2 (.f64 x x)) (-.f64 -1 x))))
(fma.f64 x (+.f64 -1 (*.f64 x -1/2)) -1)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 -1/2 (.f64 x x)) 2) (pow.f64 (-.f64 -1 x) 2)) (.f64 (cbrt.f64 (-.f64 (.f64 -1/2 (.f64 x x)) (-.f64 -1 x))) (cbrt.f64 (-.f64 (.f64 -1/2 (.f64 x x)) (-.f64 -1 x))))) (cbrt.f64 (-.f64 (.f64 -1/2 (*.f64 x x)) (-.f64 -1 x))))
(fma.f64 x (+.f64 -1 (*.f64 x -1/2)) -1)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 -1/2 (.f64 x x)) 2) (pow.f64 (-.f64 -1 x) 2)) (+.f64 (sqrt.f64 (-.f64 -1 x)) (.f64 x (sqrt.f64 -1/2)))) (-.f64 (.f64 x (sqrt.f64 -1/2)) (sqrt.f64 (-.f64 -1 x))))
(/.f64 (-.f64 (pow.f64 (.f64 -1/2 (.f64 x x)) 2) (pow.f64 (-.f64 -1 x) 2)) (.f64 (-.f64 (.f64 x (sqrt.f64 -1/2)) (sqrt.f64 (-.f64 -1 x))) (+.f64 (sqrt.f64 (-.f64 -1 x)) (*.f64 x (sqrt.f64 -1/2)))))
(/.f64 (-.f64 (.f64 (pow.f64 x 4) 1/4) (pow.f64 (-.f64 -1 x) 2)) (.f64 (fma.f64 x (sqrt.f64 -1/2) (sqrt.f64 (-.f64 -1 x))) (-.f64 (*.f64 x (sqrt.f64 -1/2)) (sqrt.f64 (-.f64 -1 x)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (.f64 -1/2 (.f64 x x)) 3) (pow.f64 (-.f64 -1 x) 3)) 1) (+.f64 (pow.f64 (-.f64 -1 x) 2) (.f64 (.f64 -1/2 (.f64 x x)) (-.f64 (.f64 -1/2 (*.f64 x x)) (-.f64 -1 x)))))
(/.f64 (.f64 (+.f64 (.f64 -1/8 (pow.f64 (.f64 x x) 3)) (pow.f64 (-.f64 -1 x) 3)) 1) (+.f64 (pow.f64 (-.f64 -1 x) 2) (.f64 -1/2 (.f64 (.f64 x x) (-.f64 (.f64 -1/2 (.f64 x x)) (-.f64 -1 x))))))
(/.f64 (fma.f64 -1/8 (pow.f64 x 6) (pow.f64 (-.f64 -1 x) 3)) (fma.f64 -1/2 (.f64 (.f64 x x) (+.f64 x (fma.f64 -1/2 (*.f64 x x) 1))) (pow.f64 (-.f64 -1 x) 2)))
(/.f64 (/.f64 (+.f64 (pow.f64 (.f64 -1/2 (.f64 x x)) 3) (pow.f64 (-.f64 -1 x) 3)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 -1 x) 2) (.f64 (.f64 -1/2 (.f64 x x)) (-.f64 (.f64 -1/2 (.f64 x x)) (-.f64 -1 x)))))) (sqrt.f64 (+.f64 (pow.f64 (-.f64 -1 x) 2) (.f64 (.f64 -1/2 (.f64 x x)) (-.f64 (.f64 -1/2 (.f64 x x)) (-.f64 -1 x))))))
(/.f64 (.f64 (+.f64 (.f64 -1/8 (pow.f64 (.f64 x x) 3)) (pow.f64 (-.f64 -1 x) 3)) 1) (+.f64 (pow.f64 (-.f64 -1 x) 2) (.f64 -1/2 (.f64 (.f64 x x) (-.f64 (.f64 -1/2 (.f64 x x)) (-.f64 -1 x))))))
(/.f64 (fma.f64 -1/8 (pow.f64 x 6) (pow.f64 (-.f64 -1 x) 3)) (fma.f64 -1/2 (.f64 (.f64 x x) (+.f64 x (fma.f64 -1/2 (*.f64 x x) 1))) (pow.f64 (-.f64 -1 x) 2)))
(/.f64 (/.f64 (+.f64 (pow.f64 (.f64 -1/2 (.f64 x x)) 3) (pow.f64 (-.f64 -1 x) 3)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (-.f64 -1 x) 2) (.f64 (.f64 -1/2 (.f64 x x)) (-.f64 (.f64 -1/2 (.f64 x x)) (-.f64 -1 x))))) (cbrt.f64 (+.f64 (pow.f64 (-.f64 -1 x) 2) (.f64 (.f64 -1/2 (.f64 x x)) (-.f64 (.f64 -1/2 (.f64 x x)) (-.f64 -1 x))))))) (cbrt.f64 (+.f64 (pow.f64 (-.f64 -1 x) 2) (.f64 (.f64 -1/2 (.f64 x x)) (-.f64 (.f64 -1/2 (.f64 x x)) (-.f64 -1 x))))))
(/.f64 (.f64 (+.f64 (.f64 -1/8 (pow.f64 (.f64 x x) 3)) (pow.f64 (-.f64 -1 x) 3)) 1) (+.f64 (pow.f64 (-.f64 -1 x) 2) (.f64 -1/2 (.f64 (.f64 x x) (-.f64 (.f64 -1/2 (.f64 x x)) (-.f64 -1 x))))))
(/.f64 (fma.f64 -1/8 (pow.f64 x 6) (pow.f64 (-.f64 -1 x) 3)) (fma.f64 -1/2 (.f64 (.f64 x x) (+.f64 x (fma.f64 -1/2 (*.f64 x x) 1))) (pow.f64 (-.f64 -1 x) 2)))
(pow.f64 (-.f64 (fma.f64 (*.f64 x x) -1/2 -1) x) 1)
(fma.f64 x (+.f64 -1 (*.f64 x -1/2)) -1)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(pow.f64 (sqrt.f64 (-.f64 (fma.f64 (*.f64 x x) -1/2 -1) x)) 2)
(fma.f64 x (+.f64 -1 (*.f64 x -1/2)) -1)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(pow.f64 (cbrt.f64 (-.f64 (fma.f64 (*.f64 x x) -1/2 -1) x)) 3)
(fma.f64 x (+.f64 -1 (*.f64 x -1/2)) -1)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(pow.f64 (pow.f64 (-.f64 (fma.f64 (*.f64 x x) -1/2 -1) x) 3) 1/3)
(fma.f64 x (+.f64 -1 (*.f64 x -1/2)) -1)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(neg.f64 (/.f64 (-.f64 (pow.f64 (.f64 -1/2 (.f64 x x)) 2) (pow.f64 (-.f64 -1 x) 2)) (neg.f64 (-.f64 (.f64 -1/2 (.f64 x x)) (-.f64 -1 x)))))
(fma.f64 x (+.f64 -1 (*.f64 x -1/2)) -1)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(neg.f64 (/.f64 (+.f64 (pow.f64 (.f64 -1/2 (.f64 x x)) 3) (pow.f64 (-.f64 -1 x) 3)) (neg.f64 (+.f64 (pow.f64 (-.f64 -1 x) 2) (.f64 (.f64 -1/2 (.f64 x x)) (-.f64 (.f64 -1/2 (*.f64 x x)) (-.f64 -1 x)))))))
(/.f64 (.f64 (+.f64 (.f64 -1/8 (pow.f64 (.f64 x x) 3)) (pow.f64 (-.f64 -1 x) 3)) 1) (+.f64 (pow.f64 (-.f64 -1 x) 2) (.f64 -1/2 (.f64 (.f64 x x) (-.f64 (.f64 -1/2 (.f64 x x)) (-.f64 -1 x))))))
(/.f64 (fma.f64 -1/8 (pow.f64 x 6) (pow.f64 (-.f64 -1 x) 3)) (fma.f64 -1/2 (.f64 (.f64 x x) (+.f64 x (fma.f64 -1/2 (*.f64 x x) 1))) (pow.f64 (-.f64 -1 x) 2)))
(sqrt.f64 (pow.f64 (-.f64 (fma.f64 (*.f64 x x) -1/2 -1) x) 2))
(fabs.f64 (fma.f64 x (fma.f64 x -1/2 -1) -1))
(log.f64 (exp.f64 (-.f64 (fma.f64 (*.f64 x x) -1/2 -1) x)))
(fma.f64 x (+.f64 -1 (*.f64 x -1/2)) -1)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (fma.f64 (*.f64 x x) -1/2 -1) x))))
(fma.f64 x (+.f64 -1 (*.f64 x -1/2)) -1)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(cbrt.f64 (pow.f64 (-.f64 (fma.f64 (*.f64 x x) -1/2 -1) x) 3))
(fma.f64 x (+.f64 -1 (*.f64 x -1/2)) -1)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(expm1.f64 (log.f64 (.f64 x (+.f64 -1 (.f64 x -1/2)))))
(fma.f64 x (+.f64 -1 (*.f64 x -1/2)) -1)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(exp.f64 (log.f64 (-.f64 (fma.f64 (*.f64 x x) -1/2 -1) x)))
(fma.f64 x (+.f64 -1 (*.f64 x -1/2)) -1)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(log1p.f64 (expm1.f64 (-.f64 (fma.f64 (*.f64 x x) -1/2 -1) x)))
(fma.f64 x (+.f64 -1 (*.f64 x -1/2)) -1)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(fma.f64 x (+.f64 -1 (*.f64 x -1/2)) -1)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(fma.f64 (*.f64 x -1/2) x (-.f64 -1 x))
(fma.f64 x (+.f64 -1 (*.f64 x -1/2)) -1)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(fma.f64 1 (.f64 -1/2 (.f64 x x)) (-.f64 -1 x))
(fma.f64 x (+.f64 -1 (*.f64 x -1/2)) -1)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(fma.f64 1 (-.f64 -1 x) (.f64 -1/2 (.f64 x x)))
(fma.f64 x (+.f64 -1 (*.f64 x -1/2)) -1)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(fma.f64 (sqrt.f64 (-.f64 -1 x)) (sqrt.f64 (-.f64 -1 x)) (.f64 -1/2 (.f64 x x)))
(fma.f64 x (+.f64 -1 (*.f64 x -1/2)) -1)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(fma.f64 (.f64 x (sqrt.f64 -1/2)) (.f64 x (sqrt.f64 -1/2)) (-.f64 -1 x))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) (cbrt.f64 (-.f64 -1 x)) (.f64 -1/2 (.f64 x x)))
(fma.f64 x (+.f64 -1 (*.f64 x -1/2)) -1)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 -1/2 (.f64 x x))) 2) (cbrt.f64 (.f64 -1/2 (.f64 x x))) (-.f64 -1 x))
(fma.f64 x (+.f64 -1 (*.f64 x -1/2)) -1)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(fma.f64 (*.f64 x x) -1/2 (-.f64 -1 x))
(fma.f64 x (+.f64 -1 (*.f64 x -1/2)) -1)
(fma.f64 x (fma.f64 x -1/2 -1) -1)

eval123.0ms (1.4%)

Compiler: Compiled 5132 to 3486 computations (32.1% saved)

prune22.0ms (0.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	155	3	158
Fresh	0	1	1
Picked	1	0	1
Done	2	2	4
Total	158	6	164

Error

Counts

164 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
▶	0.2b	(-.f64 (+.f64 (.f64 -1/2 (.f64 x x)) (/.f64 -1 (+.f64 1 (.f64 x (+.f64 x -1))))) (/.f64 (pow.f64 x 3) (+.f64 1 (.f64 x (+.f64 x -1)))))
▶	0.2b	(-.f64 (.f64 x (+.f64 -1 (.f64 x -1/2))) 1)
▶	0.2b	(-.f64 (neg.f64 x) (-.f64 1 (.f64 -1/2 (.f64 x x))))
✓	0.4b	(-.f64 -1 x)
	1.1b	-1

Compiler

Compiled 62 to 47 computations (24.2% saved)

localize39.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 31 to 16 computations (48.4% 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	@	0	(-.f64 (neg.f64 x) (-.f64 1 (.f64 -1/2 (.f64 x x))))
0.0ms	x	@	inf	(-.f64 (neg.f64 x) (-.f64 1 (.f64 -1/2 (.f64 x x))))
0.0ms	x	@	-inf	(-.f64 (neg.f64 x) (-.f64 1 (.f64 -1/2 (.f64 x x))))

rewrite103.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1102×	`associate-*r/`
970×	`*-commutative`
766×	`associate-*l/`
670×	`distribute-lft-in`
646×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	42
1	243	38
2	3367	38

Stop Event

1×	node limit

Counts

2 → 196

Calls

Call 1

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

Outputs

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

simplify140.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

796×	`distribute-lft-in`
774×	`associate-+l+`
686×	`times-frac`
660×	`distribute-rgt-in`
640×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	462	15068
1	1467	13978

Stop Event

1×	node limit

Counts

220 → 324

Calls

Call 1

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

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

localize11.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

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 -1 (.f64 x -1/2)))
0.0ms	x	@	-inf	(.f64 x (+.f64 -1 (.f64 x -1/2)))
0.0ms	x	@	0	(.f64 x (+.f64 -1 (.f64 x -1/2)))

rewrite71.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1782×	`add-sqr-sqrt`
1760×	`*-un-lft-identity`
1648×	`add-cube-cbrt`
1628×	`add-cbrt-cube`
168×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	175	15
2	2179	15

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

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

Outputs

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

simplify60.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1050×	`associate-+r+`
842×	`associate-+l+`
710×	`associate-*r/`
526×	`fma-def`
512×	`associate-/l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	84	864
1	250	702
2	998	662
3	3846	662

Stop Event

1×	node limit

Counts

36 → 43

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

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

localize35.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 94 to 64 computations (31.9% saved)

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite88.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1442×	`associate-/r*`
1156×	`associate-/l*`
934×	`distribute-lft-in`
622×	`associate-/r/`
292×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	69
1	270	61
2	3471	61

Stop Event

1×	node limit

Counts

3 → 158

Calls

Call 1

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

Outputs

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

simplify110.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

972×	`associate-+r+`
874×	`associate-+l+`
828×	`associate-r`
664×	`associate-l`
528×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	420	7002
1	1275	6668
2	5429	6546

Stop Event

1×	node limit

Counts

194 → 268

Calls

Call 1

Inputs
(pow.f64 x 3)
(+.f64 (pow.f64 x 4) (pow.f64 x 3))
(+.f64 (*.f64 -1 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (pow.f64 x 3)))
(+.f64 (.f64 -1 (pow.f64 x 6)) (+.f64 (.f64 -1 (pow.f64 x 7)) (+.f64 (pow.f64 x 4) (pow.f64 x 3))))
x
(+.f64 1 x)
(-.f64 (+.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))))
x
(+.f64 1 x)
(-.f64 (+.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))))
(*.f64 -1 x)
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
-1
(-.f64 (*.f64 -1 x) 1)
(-.f64 (+.f64 (*.f64 -1 x) (pow.f64 x 3)) 1)
(-.f64 (+.f64 (*.f64 -1 x) (+.f64 (pow.f64 x 4) (pow.f64 x 3))) 1)
(/.f64 -1 (pow.f64 x 2))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))))
(-.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 6))) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))))
(/.f64 -1 (pow.f64 x 2))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))))
(-.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 6))) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (.f64 (/.f64 (pow.f64 x 3) (-.f64 1 (pow.f64 (.f64 x (+.f64 x -1)) 2))) 1) (.f64 (/.f64 (pow.f64 x 3) (-.f64 1 (pow.f64 (.f64 x (+.f64 x -1)) 2))) (neg.f64 (*.f64 x (+.f64 x -1)))))
(+.f64 (.f64 (/.f64 (pow.f64 x 3) (-.f64 1 (pow.f64 (.f64 x (+.f64 x -1)) 2))) 1) (.f64 (/.f64 (pow.f64 x 3) (-.f64 1 (pow.f64 (.f64 x (+.f64 x -1)) 2))) (*.f64 (neg.f64 x) (+.f64 x -1))))
(+.f64 (.f64 (/.f64 (pow.f64 x 3) (-.f64 1 (pow.f64 (.f64 x (+.f64 x -1)) 2))) 1) (.f64 (/.f64 (pow.f64 x 3) (-.f64 1 (pow.f64 (.f64 x (+.f64 x -1)) 2))) (.f64 -1 (.f64 x (+.f64 x -1)))))
(+.f64 (.f64 (/.f64 (pow.f64 x 3) (-.f64 1 (pow.f64 (.f64 x (+.f64 x -1)) 2))) 1) (.f64 (/.f64 (pow.f64 x 3) (-.f64 1 (pow.f64 (.f64 x (+.f64 x -1)) 2))) (*.f64 (neg.f64 (+.f64 x -1)) x)))
(+.f64 (.f64 (/.f64 (pow.f64 x 3) (-.f64 1 (pow.f64 (.f64 x (+.f64 x -1)) 2))) 1) (.f64 (/.f64 (pow.f64 x 3) (-.f64 1 (pow.f64 (.f64 x (+.f64 x -1)) 2))) (.f64 (neg.f64 (sqrt.f64 (.f64 x (+.f64 x -1)))) (sqrt.f64 (*.f64 x (+.f64 x -1))))))
(+.f64 (.f64 (/.f64 (pow.f64 x 3) (-.f64 1 (pow.f64 (.f64 x (+.f64 x -1)) 2))) 1) (.f64 (/.f64 (pow.f64 x 3) (-.f64 1 (pow.f64 (.f64 x (+.f64 x -1)) 2))) (.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 x -1))) 2)) (cbrt.f64 (*.f64 x (+.f64 x -1))))))
(+.f64 (.f64 (/.f64 (pow.f64 x 3) (+.f64 1 (pow.f64 (.f64 x (+.f64 x -1)) 3))) 1) (.f64 (/.f64 (pow.f64 x 3) (+.f64 1 (pow.f64 (.f64 x (+.f64 x -1)) 3))) (.f64 (.f64 x (+.f64 x -1)) (+.f64 (neg.f64 x) (fma.f64 x x -1)))))
(+.f64 (.f64 (/.f64 (pow.f64 x 3) (+.f64 1 (pow.f64 (.f64 x (+.f64 x -1)) 3))) (.f64 (.f64 x (+.f64 x -1)) (+.f64 (neg.f64 x) (fma.f64 x x -1)))) (.f64 (/.f64 (pow.f64 x 3) (+.f64 1 (pow.f64 (.f64 x (+.f64 x -1)) 3))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 x 3) (fma.f64 x (+.f64 x -1) 1)))) 1)
(.f64 x (.f64 (*.f64 x x) (/.f64 1 (fma.f64 x (+.f64 x -1) 1))))
(*.f64 (pow.f64 x 3) (/.f64 1 (fma.f64 x (+.f64 x -1) 1)))
(*.f64 1 (/.f64 (pow.f64 x 3) (fma.f64 x (+.f64 x -1) 1)))
(*.f64 (/.f64 (pow.f64 x 3) (fma.f64 x (+.f64 x -1) 1)) 1)
(*.f64 (/.f64 -1 (fma.f64 x (+.f64 x -1) 1)) (neg.f64 (pow.f64 x 3)))
(*.f64 (/.f64 (pow.f64 x 3/2) (sqrt.f64 (fma.f64 x (+.f64 x -1) 1))) (/.f64 (pow.f64 x 3/2) (sqrt.f64 (fma.f64 x (+.f64 x -1) 1))))
(.f64 (pow.f64 x 3/2) (.f64 (pow.f64 x 3/2) (/.f64 1 (fma.f64 x (+.f64 x -1) 1))))
(*.f64 (/.f64 x (cbrt.f64 (fma.f64 x (+.f64 x -1) 1))) (pow.f64 (/.f64 x (cbrt.f64 (fma.f64 x (+.f64 x -1) 1))) 2))
(*.f64 (pow.f64 (/.f64 x (cbrt.f64 (fma.f64 x (+.f64 x -1) 1))) 2) (/.f64 x (cbrt.f64 (fma.f64 x (+.f64 x -1) 1))))
(.f64 (.f64 x x) (*.f64 x (/.f64 1 (fma.f64 x (+.f64 x -1) 1))))
(*.f64 (/.f64 1 (fma.f64 x (+.f64 x -1) 1)) (pow.f64 x 3))
(*.f64 (neg.f64 (pow.f64 x 3)) (/.f64 -1 (fma.f64 x (+.f64 x -1) 1)))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 x (+.f64 x -1) 1))) (/.f64 (pow.f64 x 3) (sqrt.f64 (fma.f64 x (+.f64 x -1) 1))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x -1) 1)) 2)) (/.f64 (pow.f64 x 3) (cbrt.f64 (fma.f64 x (+.f64 x -1) 1))))
(*.f64 (/.f64 (pow.f64 x 3) 1) (/.f64 1 (fma.f64 x (+.f64 x -1) 1)))
(.f64 (/.f64 1 (-.f64 1 (pow.f64 (.f64 x (+.f64 x -1)) 2))) (.f64 (pow.f64 x 3) (-.f64 1 (.f64 x (+.f64 x -1)))))
(.f64 (/.f64 1 (+.f64 1 (pow.f64 (.f64 x (+.f64 x -1)) 3))) (.f64 (pow.f64 x 3) (+.f64 1 (.f64 (*.f64 x (+.f64 x -1)) (+.f64 (neg.f64 x) (fma.f64 x x -1))))))
(.f64 (/.f64 (pow.f64 x 3) (-.f64 1 (pow.f64 (.f64 x (+.f64 x -1)) 2))) (-.f64 1 (*.f64 x (+.f64 x -1))))
(.f64 (/.f64 (pow.f64 x 3) (+.f64 1 (pow.f64 (.f64 x (+.f64 x -1)) 3))) (+.f64 1 (.f64 (.f64 x (+.f64 x -1)) (+.f64 (neg.f64 x) (fma.f64 x x -1)))))
(*.f64 (/.f64 x 1) (/.f64 x (/.f64 (fma.f64 x (+.f64 x -1) 1) x)))
(*.f64 (/.f64 x (/.f64 (fma.f64 x (+.f64 x -1) 1) x)) x)
(*.f64 (/.f64 x (sqrt.f64 (fma.f64 x (+.f64 x -1) 1))) (/.f64 x (/.f64 (sqrt.f64 (fma.f64 x (+.f64 x -1) 1)) x)))
(*.f64 (/.f64 x (/.f64 (sqrt.f64 (fma.f64 x (+.f64 x -1) 1)) x)) (/.f64 x (sqrt.f64 (fma.f64 x (+.f64 x -1) 1))))
(.f64 (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x -1) 1)) 2)) (/.f64 (.f64 x x) (cbrt.f64 (fma.f64 x (+.f64 x -1) 1))))
(*.f64 (/.f64 (pow.f64 x 3/2) 1) (/.f64 (pow.f64 x 3/2) (fma.f64 x (+.f64 x -1) 1)))
(*.f64 (/.f64 (pow.f64 x 3/2) (fma.f64 x (+.f64 x -1) 1)) (pow.f64 x 3/2))
(*.f64 (/.f64 (pow.f64 x 3/2) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x -1) 1)) 2)) (/.f64 (pow.f64 x 3/2) (cbrt.f64 (fma.f64 x (+.f64 x -1) 1))))
(*.f64 (/.f64 x (/.f64 1 x)) (/.f64 x (fma.f64 x (+.f64 x -1) 1)))
(.f64 (/.f64 x (fma.f64 x (+.f64 x -1) 1)) (.f64 x x))
(*.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x -1) 1)) 2) x)) (/.f64 x (cbrt.f64 (fma.f64 x (+.f64 x -1) 1))))
(*.f64 (/.f64 (/.f64 (pow.f64 x 3) 1) 1) (/.f64 1 (fma.f64 x (+.f64 x -1) 1)))
(.f64 (/.f64 (pow.f64 x 3) (neg.f64 (-.f64 1 (pow.f64 (.f64 x (+.f64 x -1)) 2)))) (neg.f64 (-.f64 1 (*.f64 x (+.f64 x -1)))))
(.f64 (/.f64 (pow.f64 x 3) (neg.f64 (+.f64 1 (pow.f64 (.f64 x (+.f64 x -1)) 3)))) (neg.f64 (+.f64 1 (.f64 (.f64 x (+.f64 x -1)) (+.f64 (neg.f64 x) (fma.f64 x x -1))))))
(.f64 (/.f64 (pow.f64 x 3) (-.f64 (pow.f64 (.f64 x (+.f64 x -1)) 2) 1)) (+.f64 (neg.f64 x) (fma.f64 x x -1)))
(.f64 (/.f64 (neg.f64 (pow.f64 x 3)) (neg.f64 (-.f64 1 (pow.f64 (.f64 x (+.f64 x -1)) 2)))) (-.f64 1 (*.f64 x (+.f64 x -1))))
(.f64 (/.f64 (neg.f64 (pow.f64 x 3)) (neg.f64 (+.f64 1 (pow.f64 (.f64 x (+.f64 x -1)) 3)))) (+.f64 1 (.f64 (.f64 x (+.f64 x -1)) (+.f64 (neg.f64 x) (fma.f64 x x -1)))))
(.f64 (/.f64 (/.f64 (pow.f64 x 3) 1) (neg.f64 (-.f64 1 (pow.f64 (.f64 x (+.f64 x -1)) 2)))) (neg.f64 (-.f64 1 (*.f64 x (+.f64 x -1)))))
(.f64 (/.f64 (/.f64 (pow.f64 x 3) 1) (neg.f64 (+.f64 1 (pow.f64 (.f64 x (+.f64 x -1)) 3)))) (neg.f64 (+.f64 1 (.f64 (.f64 x (+.f64 x -1)) (+.f64 (neg.f64 x) (fma.f64 x x -1))))))
(.f64 (/.f64 (/.f64 (pow.f64 x 3) 1) (-.f64 (pow.f64 (.f64 x (+.f64 x -1)) 2) 1)) (+.f64 (neg.f64 x) (fma.f64 x x -1)))
(.f64 (/.f64 (/.f64 (pow.f64 x 3) (sqrt.f64 (fma.f64 x (+.f64 x -1) 1))) (sqrt.f64 (-.f64 1 (pow.f64 (.f64 x (+.f64 x -1)) 2)))) (sqrt.f64 (-.f64 1 (*.f64 x (+.f64 x -1)))))
(.f64 (/.f64 (/.f64 (pow.f64 x 3) (sqrt.f64 (fma.f64 x (+.f64 x -1) 1))) (sqrt.f64 (+.f64 1 (pow.f64 (.f64 x (+.f64 x -1)) 3)))) (sqrt.f64 (+.f64 1 (.f64 (.f64 x (+.f64 x -1)) (+.f64 (neg.f64 x) (fma.f64 x x -1))))))
(.f64 (/.f64 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x -1) 1)) 2)) (cbrt.f64 (-.f64 1 (pow.f64 (.f64 x (+.f64 x -1)) 2)))) (cbrt.f64 (-.f64 1 (*.f64 x (+.f64 x -1)))))
(.f64 (/.f64 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x -1) 1)) 2)) (cbrt.f64 (+.f64 1 (pow.f64 (.f64 x (+.f64 x -1)) 3)))) (cbrt.f64 (+.f64 1 (.f64 (.f64 x (+.f64 x -1)) (+.f64 (neg.f64 x) (fma.f64 x x -1))))))
(pow.f64 (/.f64 (pow.f64 x 3) (fma.f64 x (+.f64 x -1) 1)) 1)
(pow.f64 (/.f64 (pow.f64 x 3/2) (sqrt.f64 (fma.f64 x (+.f64 x -1) 1))) 2)
(pow.f64 (/.f64 x (cbrt.f64 (fma.f64 x (+.f64 x -1) 1))) 3)
(pow.f64 (pow.f64 (/.f64 (pow.f64 x 3) (fma.f64 x (+.f64 x -1) 1)) 3) 1/3)
(pow.f64 (/.f64 (fma.f64 x (+.f64 x -1) 1) (pow.f64 x 3)) -1)
(neg.f64 (/.f64 (pow.f64 x 3) (-.f64 -1 (*.f64 x (+.f64 x -1)))))
(sqrt.f64 (/.f64 (pow.f64 x 6) (pow.f64 (fma.f64 x (+.f64 x -1) 1) 2)))
(log.f64 (exp.f64 (/.f64 (pow.f64 x 3) (fma.f64 x (+.f64 x -1) 1))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 x 3) (fma.f64 x (+.f64 x -1) 1)))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 x 3) (fma.f64 x (+.f64 x -1) 1)) 3))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (fma.f64 x (+.f64 x -1) 1) 3)))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 x 3) (fma.f64 x (+.f64 x -1) 1))))
(exp.f64 (log.f64 (/.f64 (pow.f64 x 3) (fma.f64 x (+.f64 x -1) 1))))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 x 3) (fma.f64 x (+.f64 x -1) 1))) 1))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 x 3) (fma.f64 x (+.f64 x -1) 1))))
(+.f64 1 (+.f64 (neg.f64 x) (fma.f64 x x -1)))
(+.f64 (*.f64 x (+.f64 x -1)) 0)
(+.f64 (*.f64 x x) (neg.f64 x))
(+.f64 (*.f64 x x) (-.f64 (+.f64 1 (neg.f64 x)) 1))
(+.f64 (neg.f64 x) (*.f64 x x))
(+.f64 (+.f64 1 (*.f64 x x)) (-.f64 (neg.f64 x) 1))
(+.f64 (.f64 (.f64 x x) 1) (*.f64 (neg.f64 x) 1))
(+.f64 (.f64 (neg.f64 x) 1) (.f64 (*.f64 x x) 1))
(+.f64 (.f64 1 (.f64 (.f64 x x) 1)) (.f64 1 (*.f64 (neg.f64 x) 1)))
(-.f64 (fma.f64 x (+.f64 x -1) 1) 1)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (+.f64 x -1) 1))) 2)
(-.f64 (/.f64 1 (-.f64 1 (.f64 x (+.f64 x -1)))) (+.f64 (/.f64 (pow.f64 (.f64 x (+.f64 x -1)) 2) (-.f64 1 (*.f64 x (+.f64 x -1)))) 1))
(/.f64 x (/.f64 1 (+.f64 x -1)))
(/.f64 (fma.f64 x x -1) (/.f64 (+.f64 x 1) x))
(/.f64 (+.f64 (pow.f64 x 3) -1) (/.f64 (fma.f64 x x (-.f64 1 (neg.f64 x))) x))
(/.f64 (*.f64 x (fma.f64 x x -1)) (+.f64 x 1))
(/.f64 (*.f64 x (+.f64 (pow.f64 x 3) -1)) (fma.f64 x x (-.f64 1 (neg.f64 x))))
(/.f64 (*.f64 (fma.f64 x x -1) x) (+.f64 x 1))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) -1) x) (fma.f64 x x (-.f64 1 (neg.f64 x))))
(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (*.f64 x x) (neg.f64 x)))
(/.f64 (+.f64 (pow.f64 x 6) (pow.f64 (neg.f64 x) 3)) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 (.f64 (neg.f64 x) (neg.f64 x)) (neg.f64 (pow.f64 x 3)))))
(/.f64 (/.f64 (*.f64 x (fma.f64 x x -1)) 1) (+.f64 x 1))
(/.f64 (/.f64 (*.f64 x (fma.f64 x x -1)) (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (+.f64 x 1)))
(/.f64 (/.f64 (.f64 x (fma.f64 x x -1)) (.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 (+.f64 x 1)))
(/.f64 (/.f64 (*.f64 x (+.f64 (pow.f64 x 3) -1)) 1) (fma.f64 x x (-.f64 1 (neg.f64 x))))
(/.f64 (/.f64 (*.f64 x (+.f64 (pow.f64 x 3) -1)) (sqrt.f64 (fma.f64 x x (-.f64 1 (neg.f64 x))))) (sqrt.f64 (fma.f64 x x (-.f64 1 (neg.f64 x)))))
(/.f64 (/.f64 (.f64 x (+.f64 (pow.f64 x 3) -1)) (.f64 (cbrt.f64 (fma.f64 x x (-.f64 1 (neg.f64 x)))) (cbrt.f64 (fma.f64 x x (-.f64 1 (neg.f64 x)))))) (cbrt.f64 (fma.f64 x x (-.f64 1 (neg.f64 x)))))
(/.f64 (/.f64 (*.f64 (fma.f64 x x -1) x) 1) (+.f64 x 1))
(/.f64 (/.f64 (*.f64 (fma.f64 x x -1) x) (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (+.f64 x 1)))
(/.f64 (/.f64 (.f64 (fma.f64 x x -1) x) (.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 (+.f64 x 1)))
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 x 3) -1) x) 1) (fma.f64 x x (-.f64 1 (neg.f64 x))))
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 x 3) -1) x) (sqrt.f64 (fma.f64 x x (-.f64 1 (neg.f64 x))))) (sqrt.f64 (fma.f64 x x (-.f64 1 (neg.f64 x)))))
(/.f64 (/.f64 (.f64 (+.f64 (pow.f64 x 3) -1) x) (.f64 (cbrt.f64 (fma.f64 x x (-.f64 1 (neg.f64 x)))) (cbrt.f64 (fma.f64 x x (-.f64 1 (neg.f64 x)))))) (cbrt.f64 (fma.f64 x x (-.f64 1 (neg.f64 x)))))
(pow.f64 (*.f64 x (+.f64 x -1)) 1)
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 x -1))) 2)
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 x -1))) 3)
(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 2))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 x -1)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 x -1)))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 x -1))))
(exp.f64 (log.f64 (*.f64 x (+.f64 x -1))))
(exp.f64 (.f64 (log.f64 (.f64 x (+.f64 x -1))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 x -1))))
(fma.f64 x x (neg.f64 x))
(+.f64 (.f64 (/.f64 -1 (-.f64 1 (pow.f64 (.f64 x (+.f64 x -1)) 2))) 1) (.f64 (/.f64 -1 (-.f64 1 (pow.f64 (.f64 x (+.f64 x -1)) 2))) (neg.f64 (*.f64 x (+.f64 x -1)))))
(+.f64 (.f64 (/.f64 -1 (-.f64 1 (pow.f64 (.f64 x (+.f64 x -1)) 2))) 1) (.f64 (/.f64 -1 (-.f64 1 (pow.f64 (.f64 x (+.f64 x -1)) 2))) (*.f64 (neg.f64 x) (+.f64 x -1))))
(+.f64 (.f64 (/.f64 -1 (-.f64 1 (pow.f64 (.f64 x (+.f64 x -1)) 2))) 1) (.f64 (/.f64 -1 (-.f64 1 (pow.f64 (.f64 x (+.f64 x -1)) 2))) (.f64 -1 (.f64 x (+.f64 x -1)))))
(+.f64 (.f64 (/.f64 -1 (-.f64 1 (pow.f64 (.f64 x (+.f64 x -1)) 2))) 1) (.f64 (/.f64 -1 (-.f64 1 (pow.f64 (.f64 x (+.f64 x -1)) 2))) (*.f64 (neg.f64 (+.f64 x -1)) x)))
(+.f64 (.f64 (/.f64 -1 (-.f64 1 (pow.f64 (.f64 x (+.f64 x -1)) 2))) 1) (.f64 (/.f64 -1 (-.f64 1 (pow.f64 (.f64 x (+.f64 x -1)) 2))) (.f64 (neg.f64 (sqrt.f64 (.f64 x (+.f64 x -1)))) (sqrt.f64 (*.f64 x (+.f64 x -1))))))
(+.f64 (.f64 (/.f64 -1 (-.f64 1 (pow.f64 (.f64 x (+.f64 x -1)) 2))) 1) (.f64 (/.f64 -1 (-.f64 1 (pow.f64 (.f64 x (+.f64 x -1)) 2))) (.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 x -1))) 2)) (cbrt.f64 (*.f64 x (+.f64 x -1))))))
(+.f64 (.f64 (/.f64 -1 (+.f64 1 (pow.f64 (.f64 x (+.f64 x -1)) 3))) 1) (.f64 (/.f64 -1 (+.f64 1 (pow.f64 (.f64 x (+.f64 x -1)) 3))) (.f64 (.f64 x (+.f64 x -1)) (+.f64 (neg.f64 x) (fma.f64 x x -1)))))
(+.f64 (.f64 (/.f64 -1 (+.f64 1 (pow.f64 (.f64 x (+.f64 x -1)) 3))) (.f64 (.f64 x (+.f64 x -1)) (+.f64 (neg.f64 x) (fma.f64 x x -1)))) (.f64 (/.f64 -1 (+.f64 1 (pow.f64 (.f64 x (+.f64 x -1)) 3))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 -1 (fma.f64 x (+.f64 x -1) 1)))) 1)
(*.f64 1 (/.f64 -1 (fma.f64 x (+.f64 x -1) 1)))
(*.f64 -1 (/.f64 1 (fma.f64 x (+.f64 x -1) 1)))
(*.f64 (/.f64 -1 (fma.f64 x (+.f64 x -1) 1)) 1)
(*.f64 (sqrt.f64 (/.f64 -1 (fma.f64 x (+.f64 x -1) 1))) (sqrt.f64 (/.f64 -1 (fma.f64 x (+.f64 x -1) 1))))
(*.f64 (/.f64 -1 (cbrt.f64 (fma.f64 x (+.f64 x -1) 1))) (pow.f64 (/.f64 -1 (cbrt.f64 (fma.f64 x (+.f64 x -1) 1))) 2))
(*.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (fma.f64 x (+.f64 x -1) 1))) 2) (/.f64 -1 (cbrt.f64 (fma.f64 x (+.f64 x -1) 1))))
(*.f64 (/.f64 1 (fma.f64 x (+.f64 x -1) 1)) -1)
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 x (+.f64 x -1) 1))) (/.f64 -1 (sqrt.f64 (fma.f64 x (+.f64 x -1) 1))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x -1) 1)) 2)) (/.f64 -1 (cbrt.f64 (fma.f64 x (+.f64 x -1) 1))))
(.f64 (/.f64 1 (-.f64 1 (pow.f64 (.f64 x (+.f64 x -1)) 2))) (.f64 -1 (-.f64 1 (.f64 x (+.f64 x -1)))))
(.f64 (/.f64 1 (+.f64 1 (pow.f64 (.f64 x (+.f64 x -1)) 3))) (+.f64 -1 (.f64 -1 (.f64 (*.f64 x (+.f64 x -1)) (+.f64 (neg.f64 x) (fma.f64 x x -1))))))
(.f64 (/.f64 -1 (-.f64 1 (pow.f64 (.f64 x (+.f64 x -1)) 2))) (-.f64 1 (*.f64 x (+.f64 x -1))))
(.f64 (/.f64 -1 (+.f64 1 (pow.f64 (.f64 x (+.f64 x -1)) 3))) (+.f64 1 (.f64 (.f64 x (+.f64 x -1)) (+.f64 (neg.f64 x) (fma.f64 x x -1)))))
(.f64 (/.f64 1 (neg.f64 (-.f64 1 (pow.f64 (.f64 x (+.f64 x -1)) 2)))) (-.f64 1 (*.f64 x (+.f64 x -1))))
(.f64 (/.f64 1 (neg.f64 (+.f64 1 (pow.f64 (.f64 x (+.f64 x -1)) 3)))) (+.f64 1 (.f64 (.f64 x (+.f64 x -1)) (+.f64 (neg.f64 x) (fma.f64 x x -1)))))
(.f64 (/.f64 -1 (neg.f64 (-.f64 1 (pow.f64 (.f64 x (+.f64 x -1)) 2)))) (neg.f64 (-.f64 1 (*.f64 x (+.f64 x -1)))))
(.f64 (/.f64 -1 (neg.f64 (+.f64 1 (pow.f64 (.f64 x (+.f64 x -1)) 3)))) (neg.f64 (+.f64 1 (.f64 (.f64 x (+.f64 x -1)) (+.f64 (neg.f64 x) (fma.f64 x x -1))))))
(.f64 (/.f64 -1 (-.f64 (pow.f64 (.f64 x (+.f64 x -1)) 2) 1)) (+.f64 (neg.f64 x) (fma.f64 x x -1)))
(.f64 (/.f64 (/.f64 -1 (sqrt.f64 (fma.f64 x (+.f64 x -1) 1))) (sqrt.f64 (-.f64 1 (pow.f64 (.f64 x (+.f64 x -1)) 2)))) (sqrt.f64 (-.f64 1 (*.f64 x (+.f64 x -1)))))
(.f64 (/.f64 (/.f64 -1 (sqrt.f64 (fma.f64 x (+.f64 x -1) 1))) (sqrt.f64 (+.f64 1 (pow.f64 (.f64 x (+.f64 x -1)) 3)))) (sqrt.f64 (+.f64 1 (.f64 (.f64 x (+.f64 x -1)) (+.f64 (neg.f64 x) (fma.f64 x x -1))))))
(.f64 (/.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x -1) 1)) 2)) (cbrt.f64 (-.f64 1 (pow.f64 (.f64 x (+.f64 x -1)) 2)))) (cbrt.f64 (-.f64 1 (*.f64 x (+.f64 x -1)))))
(.f64 (/.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x -1) 1)) 2)) (cbrt.f64 (+.f64 1 (pow.f64 (.f64 x (+.f64 x -1)) 3)))) (cbrt.f64 (+.f64 1 (.f64 (.f64 x (+.f64 x -1)) (+.f64 (neg.f64 x) (fma.f64 x x -1))))))
(pow.f64 (/.f64 -1 (fma.f64 x (+.f64 x -1) 1)) 1)
(pow.f64 (sqrt.f64 (/.f64 -1 (fma.f64 x (+.f64 x -1) 1))) 2)
(pow.f64 (/.f64 -1 (cbrt.f64 (fma.f64 x (+.f64 x -1) 1))) 3)
(pow.f64 (pow.f64 (/.f64 -1 (fma.f64 x (+.f64 x -1) 1)) 3) 1/3)
(pow.f64 (-.f64 -1 (*.f64 x (+.f64 x -1))) -1)
(neg.f64 (/.f64 1 (fma.f64 x (+.f64 x -1) 1)))
(sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 x (+.f64 x -1) 1) 2)))
(log.f64 (exp.f64 (/.f64 -1 (fma.f64 x (+.f64 x -1) 1))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (fma.f64 x (+.f64 x -1) 1)))))
(cbrt.f64 (pow.f64 (/.f64 -1 (fma.f64 x (+.f64 x -1) 1)) 3))
(expm1.f64 (log1p.f64 (/.f64 -1 (fma.f64 x (+.f64 x -1) 1))))
(exp.f64 (log.f64 (/.f64 -1 (fma.f64 x (+.f64 x -1) 1))))
(exp.f64 (*.f64 (log.f64 (/.f64 -1 (fma.f64 x (+.f64 x -1) 1))) 1))
(log1p.f64 (expm1.f64 (/.f64 -1 (fma.f64 x (+.f64 x -1) 1))))

Outputs
(pow.f64 x 3)
(+.f64 (pow.f64 x 4) (pow.f64 x 3))
(+.f64 (pow.f64 x 3) (pow.f64 x 4))
(+.f64 (*.f64 -1 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (pow.f64 x 3)))
(fma.f64 -1 (pow.f64 x 6) (+.f64 (pow.f64 x 3) (pow.f64 x 4)))
(-.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 4)) (pow.f64 x 6))
(+.f64 (pow.f64 x 3) (-.f64 (pow.f64 x 4) (pow.f64 x 6)))
(+.f64 (.f64 -1 (pow.f64 x 6)) (+.f64 (.f64 -1 (pow.f64 x 7)) (+.f64 (pow.f64 x 4) (pow.f64 x 3))))
(fma.f64 -1 (pow.f64 x 6) (fma.f64 -1 (pow.f64 x 7) (+.f64 (pow.f64 x 3) (pow.f64 x 4))))
(-.f64 (-.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 4)) (pow.f64 x 7)) (pow.f64 x 6))
(-.f64 (+.f64 (pow.f64 x 3) (-.f64 (pow.f64 x 4) (pow.f64 x 6))) (pow.f64 x 7))
x
(+.f64 1 x)
(+.f64 x 1)
(-.f64 (+.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(+.f64 1 (-.f64 x (/.f64 1 (*.f64 x x))))
(+.f64 x (+.f64 1 (/.f64 -1 (*.f64 x x))))
(-.f64 (+.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))))
(+.f64 1 (-.f64 x (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3)))))
(+.f64 1 (-.f64 (-.f64 x (/.f64 1 (*.f64 x x))) (/.f64 1 (pow.f64 x 3))))
x
(+.f64 1 x)
(+.f64 x 1)
(-.f64 (+.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(+.f64 1 (-.f64 x (/.f64 1 (*.f64 x x))))
(+.f64 x (+.f64 1 (/.f64 -1 (*.f64 x x))))
(-.f64 (+.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))))
(+.f64 1 (-.f64 x (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3)))))
(+.f64 1 (-.f64 (-.f64 x (/.f64 1 (*.f64 x x))) (/.f64 1 (pow.f64 x 3))))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(-.f64 (*.f64 x x) x)
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(-.f64 (*.f64 x x) x)
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(.f64 (/.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x -1) 1)) 2)) (cbrt.f64 (+.f64 1 (pow.f64 (.f64 x (+.f64 x -1)) 3)))) (cbrt.f64 (+.f64 1 (.f64 (.f64 x (+.f64 x -1)) (+.f64 (neg.f64 x) (fma.f64 x x -1))))))
(.f64 (cbrt.f64 (+.f64 1 (.f64 x (.f64 (+.f64 x -1) (+.f64 (neg.f64 x) (fma.f64 x x -1)))))) (/.f64 -1 (.f64 (cbrt.f64 (+.f64 1 (pow.f64 (-.f64 (*.f64 x x) x) 3))) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x -1) 1)) 2))))
(.f64 (cbrt.f64 (fma.f64 x (.f64 (+.f64 x -1) (-.f64 (fma.f64 x x -1) x)) 1)) (/.f64 -1 (.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1) x)) 2) (cbrt.f64 (+.f64 1 (pow.f64 (-.f64 (.f64 x x) x) 3))))))
(pow.f64 (/.f64 -1 (fma.f64 x (+.f64 x -1) 1)) 1)
(/.f64 -1 (fma.f64 x (+.f64 x -1) 1))
(/.f64 -1 (-.f64 (fma.f64 x x 1) x))
(pow.f64 (sqrt.f64 (/.f64 -1 (fma.f64 x (+.f64 x -1) 1))) 2)
(/.f64 -1 (fma.f64 x (+.f64 x -1) 1))
(/.f64 -1 (-.f64 (fma.f64 x x 1) x))
(pow.f64 (/.f64 -1 (cbrt.f64 (fma.f64 x (+.f64 x -1) 1))) 3)
(/.f64 -1 (fma.f64 x (+.f64 x -1) 1))
(/.f64 -1 (-.f64 (fma.f64 x x 1) x))
(pow.f64 (pow.f64 (/.f64 -1 (fma.f64 x (+.f64 x -1) 1)) 3) 1/3)
(/.f64 -1 (fma.f64 x (+.f64 x -1) 1))
(/.f64 -1 (-.f64 (fma.f64 x x 1) x))
(pow.f64 (-.f64 -1 (*.f64 x (+.f64 x -1))) -1)
(/.f64 1 (+.f64 -1 (*.f64 x (-.f64 1 x))))
(/.f64 1 (+.f64 -1 (fma.f64 x (neg.f64 x) x)))
(neg.f64 (/.f64 1 (fma.f64 x (+.f64 x -1) 1)))
(/.f64 -1 (fma.f64 x (+.f64 x -1) 1))
(/.f64 -1 (-.f64 (fma.f64 x x 1) x))
(sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 x (+.f64 x -1) 1) 2)))
(sqrt.f64 (/.f64 1 (pow.f64 (-.f64 (fma.f64 x x 1) x) 2)))
(log.f64 (exp.f64 (/.f64 -1 (fma.f64 x (+.f64 x -1) 1))))
(/.f64 -1 (fma.f64 x (+.f64 x -1) 1))
(/.f64 -1 (-.f64 (fma.f64 x x 1) x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (fma.f64 x (+.f64 x -1) 1)))))
(/.f64 -1 (fma.f64 x (+.f64 x -1) 1))
(/.f64 -1 (-.f64 (fma.f64 x x 1) x))
(cbrt.f64 (pow.f64 (/.f64 -1 (fma.f64 x (+.f64 x -1) 1)) 3))
(/.f64 -1 (fma.f64 x (+.f64 x -1) 1))
(/.f64 -1 (-.f64 (fma.f64 x x 1) x))
(expm1.f64 (log1p.f64 (/.f64 -1 (fma.f64 x (+.f64 x -1) 1))))
(/.f64 -1 (fma.f64 x (+.f64 x -1) 1))
(/.f64 -1 (-.f64 (fma.f64 x x 1) x))
(exp.f64 (log.f64 (/.f64 -1 (fma.f64 x (+.f64 x -1) 1))))
(/.f64 -1 (fma.f64 x (+.f64 x -1) 1))
(/.f64 -1 (-.f64 (fma.f64 x x 1) x))
(exp.f64 (*.f64 (log.f64 (/.f64 -1 (fma.f64 x (+.f64 x -1) 1))) 1))
(/.f64 -1 (fma.f64 x (+.f64 x -1) 1))
(/.f64 -1 (-.f64 (fma.f64 x x 1) x))
(log1p.f64 (expm1.f64 (/.f64 -1 (fma.f64 x (+.f64 x -1) 1))))
(/.f64 -1 (fma.f64 x (+.f64 x -1) 1))
(/.f64 -1 (-.f64 (fma.f64 x x 1) x))

eval540.0ms (6.1%)

Compiler: Compiled 24976 to 17580 computations (29.6% saved)

prune139.0ms (1.6%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	751	2	753
Fresh	0	1	1
Picked	1	0	1
Done	0	4	4
Total	752	7	759

Error

Counts

759 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
	0.2b	(-.f64 (+.f64 (.f64 -1/2 (.f64 x x)) (/.f64 -1 (+.f64 1 (*.f64 x (+.f64 x -1))))) (pow.f64 x 3))
	0.2b	(-.f64 (+.f64 (.f64 -1/2 (.f64 x x)) (/.f64 -1 (+.f64 1 (*.f64 x (+.f64 x -1))))) (/.f64 (pow.f64 x 3) (+.f64 1 (neg.f64 x))))
✓	0.2b	(-.f64 (.f64 x (+.f64 -1 (.f64 x -1/2))) 1)
✓	0.2b	(-.f64 (neg.f64 x) (-.f64 1 (.f64 -1/2 (.f64 x x))))
✓	0.4b	(-.f64 -1 x)
	1.1b	-1

Compiler

Compiled 79 to 60 computations (24.1% saved)

regimes13.0ms (0.1%)

Counts

12 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 147 to 100 computations (32% saved)

regimes9.0ms (0.1%)

Counts

10 → 1

Calls

Call 1

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

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

Calls

1 calls:

6.0ms

Results

Error	Segments	Branch
0.2b	1	`x`

Compiler

Compiled 122 to 82 computations (32.8% saved)

regimes4.0ms (0%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
0.2b	1	`x`

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes4.0ms (0%)

Accuracy

Total -0.7b remaining (-151%)

Threshold costs -0.7b (-151%)

Counts

2 → 1

Calls

Call 1

Inputs
-1
(-.f64 -1 x)

Outputs
(-.f64 -1 x)

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
0.4b	1	`x`

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	77
1	30	77
2	34	77
3	35	77

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 33 to 25 computations (24.2% saved)

soundness20.0ms (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)

end35.0ms (0.4%)

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

Details

analyze434.0ms (4.9%)

sample5.3s (60.3%)

preprocess6.0ms (0.1%)

simplify15.0ms (0.2%)

eval1.0ms (0%)

prune1.0ms (0%)

localize12.0ms (0.1%)

series11.0ms (0.1%)

rewrite109.0ms (1.2%)

simplify98.0ms (1.1%)

localize7.0ms (0.1%)

series1.0ms (0%)

rewrite54.0ms (0.6%)

simplify57.0ms (0.6%)

eval172.0ms (2%)

prune52.0ms (0.6%)

localize9.0ms (0.1%)

localize3.0ms (0%)

localize10.0ms (0.1%)

series1.0ms (0%)

rewrite62.0ms (0.7%)

simplify66.0ms (0.7%)

eval278.0ms (3.2%)

prune9.0ms (0.1%)

localize9.0ms (0.1%)

series1.0ms (0%)

rewrite328.0ms (3.7%)

simplify121.0ms (1.4%)

eval123.0ms (1.4%)

prune22.0ms (0.3%)

localize39.0ms (0.4%)

series1.0ms (0%)

rewrite103.0ms (1.2%)

simplify140.0ms (1.6%)

localize11.0ms (0.1%)

series1.0ms (0%)

rewrite71.0ms (0.8%)

simplify60.0ms (0.7%)

localize35.0ms (0.4%)

series3.0ms (0%)

rewrite88.0ms (1%)

simplify110.0ms (1.2%)

eval540.0ms (6.1%)

prune139.0ms (1.6%)

regimes13.0ms (0.1%)

regimes9.0ms (0.1%)

regimes4.0ms (0%)

regimes4.0ms (0%)

simplify6.0ms (0.1%)

soundness20.0ms (0.2%)

end35.0ms (0.4%)

Profiling