Details

analyze66.0ms (1.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
25%	25%	74.9%	0.1%	0%	0%	0%	5
37.5%	37.5%	62.4%	0.1%	0%	0%	0%	6
51.6%	50%	46.8%	0.1%	3.1%	0%	0%	7
61.3%	59.3%	37.5%	0.1%	3.1%	0%	0%	8
72.3%	67.1%	25.8%	0.1%	7%	0%	0%	9
78.2%	72.6%	20.3%	0.1%	7%	0%	0%	10
85.1%	76.9%	13.5%	0.1%	9.6%	0%	0%	11
88.3%	79.8%	10.5%	0.1%	9.6%	0%	0%	12

Compiler

Compiled 14 to 11 computations (21.4% saved)

sample1.0s (17.3%)

Results

988.0ms	8256×	body	256	valid
24.0ms	274×	body	256	infinite

Bogosity

preprocess148.0ms (2.5%)

Algorithm

2×	egg-herbie

Rules

1884×	`fma-def`
1114×	`associate-+l-`
840×	`fma-neg`
702×	`+-commutative`
614×	`associate--r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	62
1	47	54
2	113	46
3	221	46
4	544	42
5	1266	42
6	3115	42
7	4585	42
8	4872	42
9	4872	42
10	4872	42
11	5530	42
12	5530	42
0	2	2

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs
(+.f64 (-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2)) 918938533204673/1000000000000000)
(+.f64 (-.f64 (.f64 y (-.f64 x 1)) (.f64 x 1/2)) 918938533204673/1000000000000000)

Outputs
(+.f64 (-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2)) 918938533204673/1000000000000000)
(-.f64 (.f64 x (+.f64 y -1)) (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000))
(+.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) 918938533204673/1000000000000000)
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))
(+.f64 (-.f64 (.f64 y (-.f64 x 1)) (.f64 x 1/2)) 918938533204673/1000000000000000)
(+.f64 918938533204673/1000000000000000 (-.f64 (.f64 y (+.f64 x -1)) (.f64 x 1/2)))
(+.f64 918938533204673/1000000000000000 (fma.f64 y (+.f64 x -1) (*.f64 x -1/2)))
(fma.f64 y (+.f64 x -1) (fma.f64 x -1/2 918938533204673/1000000000000000))
(fma.f64 x (+.f64 y -1/2) (-.f64 918938533204673/1000000000000000 y))
(-.f64 (fma.f64 x (+.f64 y -1/2) 918938533204673/1000000000000000) y)

Compiler

Compiled 15 to 12 computations (20% saved)

simplify80.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1392×	`fma-def`
764×	`associate-+l+`
706×	`associate-+l-`
678×	`associate--r+`
540×	`associate-+r+`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	12	31
1	30	27
2	66	23
3	126	23
4	263	21
5	614	21
6	1497	21
7	2817	21
8	3922	21
9	4054	21
10	4081	21

Stop Event

1×

saturated

Counts

1 → 6

Calls

Call 1

Inputs
(+.f64 (-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2)) 918938533204673/1000000000000000)

Outputs
(+.f64 (-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2)) 918938533204673/1000000000000000)
(+.f64 (fma.f64 x (+.f64 y -1) (neg.f64 (*.f64 y 1/2))) 918938533204673/1000000000000000)
(+.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) 918938533204673/1000000000000000)
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 918938533204673/1000000000000000 (fma.f64 y (-.f64 1/2 x) x))

eval1.0ms (0%)

Compiler: Compiled 59 to 41 computations (30.5% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	4	2	6
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	4	3	7

Error

0.0b

Counts

7 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
▶	0.0b	(+.f64 (-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2)) 918938533204673/1000000000000000)

Compiler

Compiled 23 to 17 computations (26.1% saved)

localize14.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2))
✓	0.0b	(*.f64 x (-.f64 y 1))
✓	0.0b	(+.f64 (-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2)) 918938533204673/1000000000000000)

Compiler

Compiled 38 to 26 computations (31.6% saved)

series125.0ms (2.1%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
121.0ms	y	@	inf	(-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2))
0.0ms	y	@	0	(+.f64 (-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2)) 918938533204673/1000000000000000)
0.0ms	x	@	inf	(+.f64 (-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2)) 918938533204673/1000000000000000)
0.0ms	x	@	0	(+.f64 (-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2)) 918938533204673/1000000000000000)
0.0ms	y	@	inf	(+.f64 (-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2)) 918938533204673/1000000000000000)

rewrite314.0ms (5.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1716×	`associate-*r/`
1520×	`associate-*l/`
476×	`associate-+l+`
328×	`associate-/r*`
288×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	69
1	278	61
2	3725	61

Stop Event

1×	node limit

Counts

3 → 330

Calls

Call 1

Inputs
(+.f64 (-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2)) 918938533204673/1000000000000000)
(*.f64 x (-.f64 y 1))
(-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 x (+.f64 y -1)) (fma.f64 y 1/2 -918938533204673/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 x (+.f64 y -1)) (-.f64 (-.f64 (.f64 y 1/2) (fma.f64 -1/2 y (.f64 y 1/2))) 918938533204673/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 x (+.f64 y -1)) (-.f64 (.f64 y 1/2) (+.f64 918938533204673/1000000000000000 (fma.f64 -1/2 y (.f64 y 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 x (+.f64 y -1)) (-.f64 (-.f64 (.f64 y 1/2) (fma.f64 -1/2 y (.f64 y 1/2))) (+.f64 918938533204673/1000000000000000 (fma.f64 -1/2 y (.f64 y 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 x (+.f64 y -1)) (-.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000) (fma.f64 -1/2 y (.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 x (+.f64 y -1) (.f64 y -1/2)) -918938533204673/1000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 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Outputs

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

simplify182.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

1318×	`fma-def`
932×	`associate-+l+`
866×	`associate-/l*`
806×	`associate-+r+`
736×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	804	20350
1	2077	17960

Stop Event

1×	node limit

Counts

402 → 482

Calls

Call 1

Inputs
(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))
(-.f64 (+.f64 (.f64 (-.f64 y 1) x) 918938533204673/1000000000000000) (.f64 1/2 y))
(-.f64 (+.f64 (.f64 (-.f64 y 1) x) 918938533204673/1000000000000000) (.f64 1/2 y))
(-.f64 (+.f64 (.f64 (-.f64 y 1) x) 918938533204673/1000000000000000) (.f64 1/2 y))
(*.f64 (-.f64 y 1) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (.f64 (-.f64 y 1) x)) (.f64 1/2 y))
(-.f64 (+.f64 918938533204673/1000000000000000 (.f64 (-.f64 y 1) x)) (.f64 1/2 y))
(-.f64 (+.f64 918938533204673/1000000000000000 (.f64 (-.f64 y 1) x)) (.f64 1/2 y))
(*.f64 (-.f64 y 1) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (.f64 (-.f64 y 1) x)) (.f64 1/2 y))
(-.f64 (+.f64 918938533204673/1000000000000000 (.f64 (-.f64 y 1) x)) (.f64 1/2 y))
(-.f64 (+.f64 918938533204673/1000000000000000 (.f64 (-.f64 y 1) x)) (.f64 1/2 y))
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 y (-.f64 x 1/2)) (.f64 -1 x)))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 y (-.f64 x 1/2)) (.f64 -1 x)))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 y (-.f64 x 1/2)) (.f64 -1 x)))
(*.f64 y (-.f64 x 1/2))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 -1 x) (.f64 y (-.f64 x 1/2))))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 -1 x) (.f64 y (-.f64 x 1/2))))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 -1 x) (.f64 y (-.f64 x 1/2))))
(.f64 -1 (.f64 y (+.f64 1/2 (*.f64 -1 x))))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 -1 (.f64 y (+.f64 1/2 (.f64 -1 x)))) (.f64 -1 x)))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 -1 (.f64 y (+.f64 1/2 (.f64 -1 x)))) (.f64 -1 x)))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 -1 (.f64 y (+.f64 1/2 (.f64 -1 x)))) (.f64 -1 x)))
(*.f64 (-.f64 y 1) x)
(*.f64 (-.f64 y 1) x)
(*.f64 (-.f64 y 1) x)
(*.f64 (-.f64 y 1) x)
(*.f64 (-.f64 y 1) x)
(*.f64 (-.f64 y 1) x)
(*.f64 (-.f64 y 1) x)
(*.f64 (-.f64 y 1) x)
(*.f64 (-.f64 y 1) x)
(*.f64 (-.f64 y 1) x)
(*.f64 (-.f64 y 1) x)
(*.f64 (-.f64 y 1) x)
(*.f64 -1 x)
(+.f64 (.f64 y x) (.f64 -1 x))
(+.f64 (.f64 y x) (.f64 -1 x))
(+.f64 (.f64 y x) (.f64 -1 x))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 -1 x))
(+.f64 (.f64 y x) (.f64 -1 x))
(+.f64 (.f64 y x) (.f64 -1 x))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 -1 x))
(+.f64 (.f64 y x) (.f64 -1 x))
(+.f64 (.f64 y x) (.f64 -1 x))
(*.f64 -1/2 y)
(+.f64 (.f64 (-.f64 y 1) x) (.f64 -1/2 y))
(+.f64 (.f64 (-.f64 y 1) x) (.f64 -1/2 y))
(+.f64 (.f64 (-.f64 y 1) x) (.f64 -1/2 y))
(*.f64 (-.f64 y 1) x)
(+.f64 (.f64 -1/2 y) (.f64 (-.f64 y 1) x))
(+.f64 (.f64 -1/2 y) (.f64 (-.f64 y 1) x))
(+.f64 (.f64 -1/2 y) (.f64 (-.f64 y 1) x))
(*.f64 (-.f64 y 1) x)
(+.f64 (.f64 -1/2 y) (.f64 (-.f64 y 1) x))
(+.f64 (.f64 -1/2 y) (.f64 (-.f64 y 1) x))
(+.f64 (.f64 -1/2 y) (.f64 (-.f64 y 1) x))
(*.f64 -1 x)
(+.f64 (.f64 y (-.f64 x 1/2)) (.f64 -1 x))
(+.f64 (.f64 y (-.f64 x 1/2)) (.f64 -1 x))
(+.f64 (.f64 y (-.f64 x 1/2)) (.f64 -1 x))
(*.f64 y (-.f64 x 1/2))
(+.f64 (.f64 -1 x) (.f64 y (-.f64 x 1/2)))
(+.f64 (.f64 -1 x) (.f64 y (-.f64 x 1/2)))
(+.f64 (.f64 -1 x) (.f64 y (-.f64 x 1/2)))
(.f64 -1 (.f64 y (+.f64 1/2 (*.f64 -1 x))))
(+.f64 (.f64 -1 (.f64 y (+.f64 1/2 (.f64 -1 x)))) (.f64 -1 x))
(+.f64 (.f64 -1 (.f64 y (+.f64 1/2 (.f64 -1 x)))) (.f64 -1 x))
(+.f64 (.f64 -1 (.f64 y (+.f64 1/2 (.f64 -1 x)))) (.f64 -1 x))
(-.f64 (*.f64 x (+.f64 y -1)) (fma.f64 y 1/2 -918938533204673/1000000000000000))
(-.f64 (.f64 x (+.f64 y -1)) (-.f64 (-.f64 (.f64 y 1/2) (fma.f64 -1/2 y (*.f64 y 1/2))) 918938533204673/1000000000000000))
(-.f64 (.f64 x (+.f64 y -1)) (-.f64 (.f64 y 1/2) (+.f64 918938533204673/1000000000000000 (fma.f64 -1/2 y (*.f64 y 1/2)))))
(-.f64 (.f64 x (+.f64 y -1)) (-.f64 (-.f64 (.f64 y 1/2) (fma.f64 -1/2 y (.f64 y 1/2))) (+.f64 918938533204673/1000000000000000 (fma.f64 -1/2 y (.f64 y 1/2)))))
(-.f64 (.f64 x (+.f64 y -1)) (-.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000) (fma.f64 -1/2 y (.f64 y 1/2))))
(-.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) -918938533204673/1000000000000000)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)))) 81061466795327/1000000000000000)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (+.f64 y -1) (.f64 y -1/2)))) (-.f64 1 (+.f64 918938533204673/1000000000000000 (fma.f64 -1/2 y (.f64 y 1/2)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (+.f64 y -1)))) (-.f64 1 (+.f64 918938533204673/1000000000000000 (.f64 y -1/2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 y -1)))) (-.f64 1 (neg.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 y -1)))) (+.f64 1 (fma.f64 y 1/2 -918938533204673/1000000000000000)))
(-.f64 (exp.f64 (log.f64 (+.f64 1918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2))))) 1)
(-.f64 (exp.f64 (log.f64 (+.f64 1918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (.f64 y -1/2))))) (-.f64 1 (fma.f64 -1/2 y (.f64 y 1/2))))
(-.f64 (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) (.f64 y 1/2))
(-.f64 (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) (-.f64 (.f64 y 1/2) (fma.f64 -1/2 y (*.f64 y 1/2))))
(-.f64 (/.f64 (pow.f64 (.f64 x (+.f64 y -1)) 2) (fma.f64 x (+.f64 y -1) (.f64 y 1/2))) (-.f64 (/.f64 (.f64 1/4 (.f64 y y)) (fma.f64 x (+.f64 y -1) (*.f64 y 1/2))) 918938533204673/1000000000000000))
(-.f64 (/.f64 (pow.f64 (.f64 x (+.f64 y -1)) 2) (fma.f64 x (+.f64 y -1) (.f64 y 1/2))) (-.f64 (/.f64 (.f64 1/4 (.f64 y y)) (fma.f64 x (+.f64 y -1) (.f64 y 1/2))) (+.f64 918938533204673/1000000000000000 (fma.f64 -1/2 y (.f64 y 1/2)))))
(-.f64 (/.f64 (pow.f64 (.f64 x (+.f64 y -1)) 3) (+.f64 (pow.f64 (.f64 x (+.f64 y -1)) 2) (.f64 (.f64 y 1/2) (fma.f64 x (+.f64 y -1) (.f64 y 1/2))))) (-.f64 (/.f64 (.f64 1/8 (pow.f64 y 3)) (+.f64 (pow.f64 (.f64 x (+.f64 y -1)) 2) (.f64 (.f64 y 1/2) (fma.f64 x (+.f64 y -1) (.f64 y 1/2))))) 918938533204673/1000000000000000))
(-.f64 (/.f64 (pow.f64 (.f64 x (+.f64 y -1)) 3) (+.f64 (pow.f64 (.f64 x (+.f64 y -1)) 2) (.f64 (.f64 y 1/2) (fma.f64 x (+.f64 y -1) (.f64 y 1/2))))) (-.f64 (/.f64 (.f64 1/8 (pow.f64 y 3)) (+.f64 (pow.f64 (.f64 x (+.f64 y -1)) 2) (.f64 (.f64 y 1/2) (fma.f64 x (+.f64 y -1) (.f64 y 1/2))))) (+.f64 918938533204673/1000000000000000 (fma.f64 -1/2 y (*.f64 y 1/2)))))
(-.f64 (/.f64 (pow.f64 (fma.f64 x (+.f64 y -1) (.f64 y -1/2)) 2) (+.f64 (fma.f64 x (+.f64 y -1) (.f64 y -1/2)) -918938533204673/1000000000000000)) (/.f64 844448027808355901771309036929/1000000000000000000000000000000 (+.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) -918938533204673/1000000000000000)))
(-.f64 (/.f64 (pow.f64 (fma.f64 x (+.f64 y -1) (.f64 y -1/2)) 2) (+.f64 (fma.f64 x (+.f64 y -1) (.f64 y -1/2)) -918938533204673/1000000000000000)) (-.f64 (/.f64 844448027808355901771309036929/1000000000000000000000000000000 (+.f64 (fma.f64 x (+.f64 y -1) (.f64 y -1/2)) -918938533204673/1000000000000000)) (fma.f64 -1/2 y (.f64 y 1/2))))
(-.f64 (+.f64 918938533204673/1000000000000000 (exp.f64 (log1p.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2))))) 1)
(-.f64 (+.f64 918938533204673/1000000000000000 (/.f64 (pow.f64 (.f64 x (+.f64 y -1)) 2) (fma.f64 x (+.f64 y -1) (.f64 y 1/2)))) (/.f64 (.f64 1/4 (.f64 y y)) (fma.f64 x (+.f64 y -1) (*.f64 y 1/2))))
(-.f64 (+.f64 918938533204673/1000000000000000 (/.f64 (pow.f64 (.f64 x (+.f64 y -1)) 3) (+.f64 (pow.f64 (.f64 x (+.f64 y -1)) 2) (.f64 (.f64 y 1/2) (fma.f64 x (+.f64 y -1) (.f64 y 1/2)))))) (/.f64 (.f64 1/8 (pow.f64 y 3)) (+.f64 (pow.f64 (.f64 x (+.f64 y -1)) 2) (.f64 (.f64 y 1/2) (fma.f64 x (+.f64 y -1) (.f64 y 1/2))))))
(-.f64 (+.f64 (+.f64 (.f64 x (+.f64 y -1)) 918938533204673/1000000000000000) 0) (.f64 y 1/2))
(.f64 1 (+.f64 (fma.f64 x (+.f64 y -1) (.f64 y -1/2)) 918938533204673/1000000000000000))
(.f64 (+.f64 (fma.f64 x (+.f64 y -1) (.f64 y -1/2)) 918938533204673/1000000000000000) 1)
(.f64 (sqrt.f64 (+.f64 (fma.f64 x (+.f64 y -1) (.f64 y -1/2)) 918938533204673/1000000000000000)) (sqrt.f64 (+.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) 918938533204673/1000000000000000)))
(.f64 (cbrt.f64 (+.f64 (fma.f64 x (+.f64 y -1) (.f64 y -1/2)) 918938533204673/1000000000000000)) (pow.f64 (cbrt.f64 (+.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) 918938533204673/1000000000000000)) 2))
(.f64 (pow.f64 (cbrt.f64 (+.f64 (fma.f64 x (+.f64 y -1) (.f64 y -1/2)) 918938533204673/1000000000000000)) 2) (cbrt.f64 (+.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) 918938533204673/1000000000000000)))
(.f64 (+.f64 (pow.f64 (fma.f64 x (+.f64 y -1) (.f64 y -1/2)) 2) -844448027808355901771309036929/1000000000000000000000000000000) (/.f64 1 (+.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) -918938533204673/1000000000000000)))
(.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (fma.f64 x (+.f64 y -1) (.f64 y -1/2)) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x (+.f64 y -1) (.f64 y -1/2)) 2) (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) 918938533204673/1000000000000000)))))
(/.f64 1 (/.f64 (+.f64 (fma.f64 x (+.f64 y -1) (.f64 y -1/2)) -918938533204673/1000000000000000) (+.f64 (pow.f64 (fma.f64 x (+.f64 y -1) (.f64 y -1/2)) 2) -844448027808355901771309036929/1000000000000000000000000000000)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 x (+.f64 y -1) (.f64 y -1/2)) 2) (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (.f64 (fma.f64 x (+.f64 y -1) (.f64 y -1/2)) 918938533204673/1000000000000000))) (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (fma.f64 x (+.f64 y -1) (.f64 y -1/2)) 3))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x (+.f64 y -1) (.f64 y -1/2)) 2) -844448027808355901771309036929/1000000000000000000000000000000) (+.f64 (fma.f64 x (+.f64 y -1) (.f64 y -1/2)) -918938533204673/1000000000000000))
(/.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (fma.f64 x (+.f64 y -1) (.f64 y -1/2)) 3)) (+.f64 (pow.f64 (fma.f64 x (+.f64 y -1) (.f64 y -1/2)) 2) (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (.f64 (fma.f64 x (+.f64 y -1) (.f64 y -1/2)) 918938533204673/1000000000000000))))
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(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 x (+.f64 y -1)) 3) (.f64 1/8 (pow.f64 y 3))) (sqrt.f64 (+.f64 (pow.f64 (.f64 x (+.f64 y -1)) 2) (.f64 (.f64 y 1/2) (fma.f64 x (+.f64 y -1) (.f64 y 1/2)))))) (sqrt.f64 (+.f64 (pow.f64 (.f64 x (+.f64 y -1)) 2) (.f64 (.f64 y 1/2) (fma.f64 x (+.f64 y -1) (.f64 y 1/2))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 x (+.f64 y -1)) 3) (.f64 1/8 (pow.f64 y 3))) (.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 x (+.f64 y -1)) 2) (.f64 (.f64 y 1/2) (fma.f64 x (+.f64 y -1) (.f64 y 1/2))))) (cbrt.f64 (+.f64 (pow.f64 (.f64 x (+.f64 y -1)) 2) (.f64 (.f64 y 1/2) (fma.f64 x (+.f64 y -1) (.f64 y 1/2))))))) (cbrt.f64 (+.f64 (pow.f64 (.f64 x (+.f64 y -1)) 2) (.f64 (.f64 y 1/2) (fma.f64 x (+.f64 y -1) (*.f64 y 1/2))))))
(pow.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) 1)
(pow.f64 (sqrt.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2))) 2)
(pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2))) 3)
(pow.f64 (pow.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) 2))
(log.f64 (exp.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)))))
(cbrt.f64 (pow.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2))))
(exp.f64 (log.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2))))
(exp.f64 (.f64 (log.f64 (fma.f64 x (+.f64 y -1) (.f64 y -1/2))) 1))
(log1p.f64 (expm1.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2))))
(fma.f64 x (+.f64 y -1) (*.f64 y -1/2))
(fma.f64 1 (.f64 x (+.f64 y -1)) (.f64 y -1/2))
(fma.f64 1 (fma.f64 x (+.f64 y -1) (.f64 y -1/2)) (fma.f64 -1/2 y (.f64 y 1/2)))
(fma.f64 (+.f64 y -1) x (*.f64 y -1/2))
(fma.f64 (sqrt.f64 (fma.f64 x (+.f64 y -1) (.f64 y -1/2))) (sqrt.f64 (fma.f64 x (+.f64 y -1) (.f64 y -1/2))) (fma.f64 -1/2 y (*.f64 y 1/2)))
(fma.f64 (sqrt.f64 (.f64 x (+.f64 y -1))) (sqrt.f64 (.f64 x (+.f64 y -1))) (*.f64 y -1/2))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y -1) (.f64 y -1/2))) 2) (cbrt.f64 (fma.f64 x (+.f64 y -1) (.f64 y -1/2))) (fma.f64 -1/2 y (*.f64 y 1/2)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 y -1))) 2) (cbrt.f64 (.f64 x (+.f64 y -1))) (*.f64 y -1/2))

Outputs
(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))
(+.f64 918938533204673/1000000000000000 (*.f64 y -1/2))
(fma.f64 y -1/2 918938533204673/1000000000000000)
(-.f64 (+.f64 (.f64 (-.f64 y 1) x) 918938533204673/1000000000000000) (.f64 1/2 y))
(+.f64 (fma.f64 x (+.f64 y -1) 918938533204673/1000000000000000) (*.f64 y -1/2))
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))
(-.f64 (+.f64 (.f64 (-.f64 y 1) x) 918938533204673/1000000000000000) (.f64 1/2 y))
(+.f64 (fma.f64 x (+.f64 y -1) 918938533204673/1000000000000000) (*.f64 y -1/2))
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))
(-.f64 (+.f64 (.f64 (-.f64 y 1) x) 918938533204673/1000000000000000) (.f64 1/2 y))
(+.f64 (fma.f64 x (+.f64 y -1) 918938533204673/1000000000000000) (*.f64 y -1/2))
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))
(*.f64 (-.f64 y 1) x)
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (.f64 (-.f64 y 1) x)) (.f64 1/2 y))
(+.f64 (fma.f64 x (+.f64 y -1) 918938533204673/1000000000000000) (*.f64 y -1/2))
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))
(-.f64 (+.f64 918938533204673/1000000000000000 (.f64 (-.f64 y 1) x)) (.f64 1/2 y))
(+.f64 (fma.f64 x (+.f64 y -1) 918938533204673/1000000000000000) (*.f64 y -1/2))
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))
(-.f64 (+.f64 918938533204673/1000000000000000 (.f64 (-.f64 y 1) x)) (.f64 1/2 y))
(+.f64 (fma.f64 x (+.f64 y -1) 918938533204673/1000000000000000) (*.f64 y -1/2))
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))
(*.f64 (-.f64 y 1) x)
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (.f64 (-.f64 y 1) x)) (.f64 1/2 y))
(+.f64 (fma.f64 x (+.f64 y -1) 918938533204673/1000000000000000) (*.f64 y -1/2))
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))
(-.f64 (+.f64 918938533204673/1000000000000000 (.f64 (-.f64 y 1) x)) (.f64 1/2 y))
(+.f64 (fma.f64 x (+.f64 y -1) 918938533204673/1000000000000000) (*.f64 y -1/2))
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))
(-.f64 (+.f64 918938533204673/1000000000000000 (.f64 (-.f64 y 1) x)) (.f64 1/2 y))
(+.f64 (fma.f64 x (+.f64 y -1) 918938533204673/1000000000000000) (*.f64 y -1/2))
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(+.f64 918938533204673/1000000000000000 (neg.f64 x))
(-.f64 918938533204673/1000000000000000 x)
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 y (-.f64 x 1/2)) (.f64 -1 x)))
(+.f64 (fma.f64 x (+.f64 y -1) 918938533204673/1000000000000000) (*.f64 y -1/2))
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 y (-.f64 x 1/2)) (.f64 -1 x)))
(+.f64 (fma.f64 x (+.f64 y -1) 918938533204673/1000000000000000) (*.f64 y -1/2))
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 y (-.f64 x 1/2)) (.f64 -1 x)))
(+.f64 (fma.f64 x (+.f64 y -1) 918938533204673/1000000000000000) (*.f64 y -1/2))
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))
(*.f64 y (-.f64 x 1/2))
(*.f64 y (+.f64 x -1/2))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 -1 x) (.f64 y (-.f64 x 1/2))))
(+.f64 (fma.f64 x (+.f64 y -1) 918938533204673/1000000000000000) (*.f64 y -1/2))
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 -1 x) (.f64 y (-.f64 x 1/2))))
(+.f64 (fma.f64 x (+.f64 y -1) 918938533204673/1000000000000000) (*.f64 y -1/2))
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 -1 x) (.f64 y (-.f64 x 1/2))))
(+.f64 (fma.f64 x (+.f64 y -1) 918938533204673/1000000000000000) (*.f64 y -1/2))
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))
(.f64 -1 (.f64 y (+.f64 1/2 (*.f64 -1 x))))
(*.f64 (neg.f64 y) (+.f64 1/2 (neg.f64 x)))
(*.f64 (-.f64 1/2 x) (neg.f64 y))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 -1 (.f64 y (+.f64 1/2 (.f64 -1 x)))) (.f64 -1 x)))
(+.f64 918938533204673/1000000000000000 (fma.f64 -1 (*.f64 y (+.f64 1/2 (neg.f64 x))) (neg.f64 x)))
(fma.f64 -1 (fma.f64 y (-.f64 1/2 x) x) 918938533204673/1000000000000000)
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 -1 (.f64 y (+.f64 1/2 (.f64 -1 x)))) (.f64 -1 x)))
(+.f64 918938533204673/1000000000000000 (fma.f64 -1 (*.f64 y (+.f64 1/2 (neg.f64 x))) (neg.f64 x)))
(fma.f64 -1 (fma.f64 y (-.f64 1/2 x) x) 918938533204673/1000000000000000)
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 -1 (.f64 y (+.f64 1/2 (.f64 -1 x)))) (.f64 -1 x)))
(+.f64 918938533204673/1000000000000000 (fma.f64 -1 (*.f64 y (+.f64 1/2 (neg.f64 x))) (neg.f64 x)))
(fma.f64 -1 (fma.f64 y (-.f64 1/2 x) x) 918938533204673/1000000000000000)
(*.f64 (-.f64 y 1) x)
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(*.f64 (-.f64 y 1) x)
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(*.f64 (-.f64 y 1) x)
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(*.f64 (-.f64 y 1) x)
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(*.f64 (-.f64 y 1) x)
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(*.f64 (-.f64 y 1) x)
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(*.f64 (-.f64 y 1) x)
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(*.f64 (-.f64 y 1) x)
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(*.f64 (-.f64 y 1) x)
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(*.f64 (-.f64 y 1) x)
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(*.f64 (-.f64 y 1) x)
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(*.f64 (-.f64 y 1) x)
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (.f64 y x) (.f64 -1 x))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(+.f64 (.f64 y x) (.f64 -1 x))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(+.f64 (.f64 y x) (.f64 -1 x))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 -1 x))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(+.f64 (.f64 y x) (.f64 -1 x))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(+.f64 (.f64 y x) (.f64 -1 x))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 -1 x))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(+.f64 (.f64 y x) (.f64 -1 x))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(+.f64 (.f64 y x) (.f64 -1 x))
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(*.f64 -1/2 y)
(*.f64 y -1/2)
(+.f64 (.f64 (-.f64 y 1) x) (.f64 -1/2 y))
(fma.f64 x (+.f64 y -1) (*.f64 y -1/2))
(-.f64 (*.f64 y (+.f64 x -1/2)) x)
(+.f64 (.f64 (-.f64 y 1) x) (.f64 -1/2 y))
(fma.f64 x (+.f64 y -1) (*.f64 y -1/2))
(-.f64 (*.f64 y (+.f64 x -1/2)) x)
(+.f64 (.f64 (-.f64 y 1) x) (.f64 -1/2 y))
(fma.f64 x (+.f64 y -1) (*.f64 y -1/2))
(-.f64 (*.f64 y (+.f64 x -1/2)) x)
(*.f64 (-.f64 y 1) x)
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(+.f64 (.f64 -1/2 y) (.f64 (-.f64 y 1) x))
(fma.f64 x (+.f64 y -1) (*.f64 y -1/2))
(-.f64 (*.f64 y (+.f64 x -1/2)) x)
(+.f64 (.f64 -1/2 y) (.f64 (-.f64 y 1) x))
(fma.f64 x (+.f64 y -1) (*.f64 y -1/2))
(-.f64 (*.f64 y (+.f64 x -1/2)) x)
(+.f64 (.f64 -1/2 y) (.f64 (-.f64 y 1) x))
(fma.f64 x (+.f64 y -1) (*.f64 y -1/2))
(-.f64 (*.f64 y (+.f64 x -1/2)) x)
(*.f64 (-.f64 y 1) x)
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) x)
(+.f64 (.f64 -1/2 y) (.f64 (-.f64 y 1) x))
(fma.f64 x (+.f64 y -1) (*.f64 y -1/2))
(-.f64 (*.f64 y (+.f64 x -1/2)) x)
(+.f64 (.f64 -1/2 y) (.f64 (-.f64 y 1) x))
(fma.f64 x (+.f64 y -1) (*.f64 y -1/2))
(-.f64 (*.f64 y (+.f64 x -1/2)) x)
(+.f64 (.f64 -1/2 y) (.f64 (-.f64 y 1) x))
(fma.f64 x (+.f64 y -1) (*.f64 y -1/2))
(-.f64 (*.f64 y (+.f64 x -1/2)) x)
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (.f64 y (-.f64 x 1/2)) (.f64 -1 x))
(fma.f64 x (+.f64 y -1) (*.f64 y -1/2))
(-.f64 (*.f64 y (+.f64 x -1/2)) x)
(+.f64 (.f64 y (-.f64 x 1/2)) (.f64 -1 x))
(fma.f64 x (+.f64 y -1) (*.f64 y -1/2))
(-.f64 (*.f64 y (+.f64 x -1/2)) x)
(+.f64 (.f64 y (-.f64 x 1/2)) (.f64 -1 x))
(fma.f64 x (+.f64 y -1) (*.f64 y -1/2))
(-.f64 (*.f64 y (+.f64 x -1/2)) x)
(*.f64 y (-.f64 x 1/2))
(*.f64 y (+.f64 x -1/2))
(+.f64 (.f64 -1 x) (.f64 y (-.f64 x 1/2)))
(fma.f64 x (+.f64 y -1) (*.f64 y -1/2))
(-.f64 (*.f64 y (+.f64 x -1/2)) x)
(+.f64 (.f64 -1 x) (.f64 y (-.f64 x 1/2)))
(fma.f64 x (+.f64 y -1) (*.f64 y -1/2))
(-.f64 (*.f64 y (+.f64 x -1/2)) x)
(+.f64 (.f64 -1 x) (.f64 y (-.f64 x 1/2)))
(fma.f64 x (+.f64 y -1) (*.f64 y -1/2))
(-.f64 (*.f64 y (+.f64 x -1/2)) x)
(.f64 -1 (.f64 y (+.f64 1/2 (*.f64 -1 x))))
(*.f64 (neg.f64 y) (+.f64 1/2 (neg.f64 x)))
(*.f64 (-.f64 1/2 x) (neg.f64 y))
(+.f64 (.f64 -1 (.f64 y (+.f64 1/2 (.f64 -1 x)))) (.f64 -1 x))
(fma.f64 -1 (*.f64 y (+.f64 1/2 (neg.f64 x))) (neg.f64 x))
(neg.f64 (fma.f64 y (-.f64 1/2 x) x))
(+.f64 (.f64 -1 (.f64 y (+.f64 1/2 (.f64 -1 x)))) (.f64 -1 x))
(fma.f64 -1 (*.f64 y (+.f64 1/2 (neg.f64 x))) (neg.f64 x))
(neg.f64 (fma.f64 y (-.f64 1/2 x) x))
(+.f64 (.f64 -1 (.f64 y (+.f64 1/2 (.f64 -1 x)))) (.f64 -1 x))
(fma.f64 -1 (*.f64 y (+.f64 1/2 (neg.f64 x))) (neg.f64 x))
(neg.f64 (fma.f64 y (-.f64 1/2 x) x))
(-.f64 (*.f64 x (+.f64 y -1)) (fma.f64 y 1/2 -918938533204673/1000000000000000))
(+.f64 (fma.f64 x (+.f64 y -1) 918938533204673/1000000000000000) (*.f64 y -1/2))
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))
(-.f64 (.f64 x (+.f64 y -1)) (-.f64 (-.f64 (.f64 y 1/2) (fma.f64 -1/2 y (*.f64 y 1/2))) 918938533204673/1000000000000000))
(+.f64 (-.f64 (.f64 x (+.f64 y -1)) (-.f64 (.f64 1/2 y) (fma.f64 -1/2 y (*.f64 1/2 y)))) 918938533204673/1000000000000000)
(+.f64 918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 (*.f64 y 0))))
(-.f64 (.f64 x (+.f64 y -1)) (-.f64 (.f64 y 1/2) (+.f64 918938533204673/1000000000000000 (fma.f64 -1/2 y (*.f64 y 1/2)))))
(+.f64 (-.f64 (.f64 x (+.f64 y -1)) (-.f64 (.f64 1/2 y) (fma.f64 -1/2 y (*.f64 1/2 y)))) 918938533204673/1000000000000000)
(+.f64 918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 (*.f64 y 0))))
(-.f64 (.f64 x (+.f64 y -1)) (-.f64 (-.f64 (.f64 y 1/2) (fma.f64 -1/2 y (.f64 y 1/2))) (+.f64 918938533204673/1000000000000000 (fma.f64 -1/2 y (.f64 y 1/2)))))
(+.f64 (-.f64 (.f64 x (+.f64 y -1)) (-.f64 (.f64 1/2 y) (fma.f64 -1/2 y (.f64 1/2 y)))) (+.f64 918938533204673/1000000000000000 (fma.f64 -1/2 y (.f64 1/2 y))))
(+.f64 (fma.f64 (.f64 y 0) 2 (-.f64 (.f64 y (+.f64 x -1/2)) x)) 918938533204673/1000000000000000)
(-.f64 (.f64 x (+.f64 y -1)) (-.f64 (fma.f64 y 1/2 -918938533204673/1000000000000000) (fma.f64 -1/2 y (.f64 y 1/2))))
(+.f64 (-.f64 (.f64 x (+.f64 y -1)) (-.f64 (.f64 1/2 y) (fma.f64 -1/2 y (*.f64 1/2 y)))) 918938533204673/1000000000000000)
(+.f64 918938533204673/1000000000000000 (fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 (*.f64 y 0))))
(-.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)) -918938533204673/1000000000000000)
(+.f64 (fma.f64 x (+.f64 y -1) 918938533204673/1000000000000000) (*.f64 y -1/2))
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (+.f64 y -1) (*.f64 y -1/2)))) 81061466795327/1000000000000000)
(+.f64 (fma.f64 x (+.f64 y -1) 918938533204673/1000000000000000) (*.f64 y -1/2))
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 918938533204673/1000000000000000))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (+.f64 y -1) (.f64 y -1/2)))) (-.f64 1 (+.f64 918938533204673/1000000000000000 (fma.f64 -1/2 y (.f64 y 1/2)))))
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(fma.f64 1 (.f64 x (+.f64 y -1)) (.f64 y -1/2))
(fma.f64 x (+.f64 y -1) (*.f64 y -1/2))
(-.f64 (*.f64 y (+.f64 x -1/2)) x)
(fma.f64 1 (fma.f64 x (+.f64 y -1) (.f64 y -1/2)) (fma.f64 -1/2 y (.f64 y 1/2)))
(fma.f64 y -1/2 (fma.f64 x (+.f64 y -1) (fma.f64 -1/2 y (*.f64 1/2 y))))
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 (*.f64 y 0)))
(fma.f64 (+.f64 y -1) x (*.f64 y -1/2))
(fma.f64 x (+.f64 y -1) (*.f64 y -1/2))
(-.f64 (*.f64 y (+.f64 x -1/2)) x)
(fma.f64 (sqrt.f64 (fma.f64 x (+.f64 y -1) (.f64 y -1/2))) (sqrt.f64 (fma.f64 x (+.f64 y -1) (.f64 y -1/2))) (fma.f64 -1/2 y (*.f64 y 1/2)))
(fma.f64 y -1/2 (fma.f64 x (+.f64 y -1) (fma.f64 -1/2 y (*.f64 1/2 y))))
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 (*.f64 y 0)))
(fma.f64 (sqrt.f64 (.f64 x (+.f64 y -1))) (sqrt.f64 (.f64 x (+.f64 y -1))) (*.f64 y -1/2))
(fma.f64 x (+.f64 y -1) (*.f64 y -1/2))
(-.f64 (*.f64 y (+.f64 x -1/2)) x)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y -1) (.f64 y -1/2))) 2) (cbrt.f64 (fma.f64 x (+.f64 y -1) (.f64 y -1/2))) (fma.f64 -1/2 y (*.f64 y 1/2)))
(fma.f64 y -1/2 (fma.f64 x (+.f64 y -1) (fma.f64 -1/2 y (*.f64 1/2 y))))
(fma.f64 x (+.f64 y -1) (fma.f64 y -1/2 (*.f64 y 0)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 y -1))) 2) (cbrt.f64 (.f64 x (+.f64 y -1))) (*.f64 y -1/2))
(fma.f64 x (+.f64 y -1) (*.f64 y -1/2))
(-.f64 (*.f64 y (+.f64 x -1/2)) x)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
✓	0.0b	(-.f64 918938533204673/1000000000000000 x)

Compiler

Compiled 20 to 13 computations (35% saved)

series2.0ms (0%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
0.0ms	x	@	-inf	(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
0.0ms	y	@	0	(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
0.0ms	x	@	0	(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
0.0ms	x	@	inf	(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))

rewrite85.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

930×	`*-commutative`
850×	`associate-*r/`
644×	`unswap-sqr`
602×	`associate-*l/`
526×	`swap-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	28
1	221	28
2	2775	28

Stop Event

1×	node limit

Counts

2 → 122

Calls

Call 1

Inputs
(-.f64 918938533204673/1000000000000000 x)
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 918938533204673/1000000000000000 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) 918938533204673/1000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 918938533204673/1000000000000000 (exp.f64 (log1p.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 918938533204673/1000000000000000 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 918938533204673/1000000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (-.f64 918938533204673/1000000000000000 x)) (sqrt.f64 (-.f64 918938533204673/1000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (-.f64 918938533204673/1000000000000000 x)) (pow.f64 (cbrt.f64 (-.f64 918938533204673/1000000000000000 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (-.f64 918938533204673/1000000000000000 x)) 2) (cbrt.f64 (-.f64 918938533204673/1000000000000000 x)))))) 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Outputs

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(-.f64 918938533204673/1000000000000000 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))) (sqrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))) (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))) 2) (cbrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)))) (cbrt.f64 (fma.f64 y 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y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))))))))

simplify116.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1188×	`associate-/r*`
970×	`associate-+l+`
824×	`associate-*r/`
766×	`associate-+r+`
664×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	349	4992
1	967	4528
2	3802	4528

Stop Event

1×	node limit

Counts

158 → 206

Calls

Call 1

Inputs
918938533204673/1000000000000000
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(*.f64 -1 x)
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(*.f64 -1 x)
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(-.f64 918938533204673/1000000000000000 x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)
(*.f64 y (-.f64 x 1/2))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)
(*.f64 y (-.f64 x 1/2))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)
(+.f64 (*.f64 -1/2 y) 918938533204673/1000000000000000)
(+.f64 (.f64 (-.f64 y 1) x) (+.f64 918938533204673/1000000000000000 (.f64 -1/2 y)))
(+.f64 (.f64 (-.f64 y 1) x) (+.f64 918938533204673/1000000000000000 (.f64 -1/2 y)))
(+.f64 (.f64 (-.f64 y 1) x) (+.f64 918938533204673/1000000000000000 (.f64 -1/2 y)))
(*.f64 (-.f64 y 1) x)
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 -1/2 y) (.f64 (-.f64 y 1) x)))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 -1/2 y) (.f64 (-.f64 y 1) x)))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 -1/2 y) (.f64 (-.f64 y 1) x)))
(.f64 -1 (.f64 (+.f64 1 (*.f64 -1 y)) x))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 -1/2 y) (.f64 -1 (.f64 (+.f64 1 (.f64 -1 y)) x))))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 -1/2 y) (.f64 -1 (.f64 (+.f64 1 (.f64 -1 y)) x))))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 -1/2 y) (.f64 -1 (.f64 (+.f64 1 (.f64 -1 y)) x))))
(+.f64 918938533204673/1000000000000000 (neg.f64 x))
(+.f64 (neg.f64 x) 918938533204673/1000000000000000)
(+.f64 (-.f64 918938533204673/1000000000000000 (exp.f64 (log1p.f64 x))) 1)
(*.f64 (-.f64 918938533204673/1000000000000000 x) 1)
(*.f64 1 (-.f64 918938533204673/1000000000000000 x))
(*.f64 (sqrt.f64 (-.f64 918938533204673/1000000000000000 x)) (sqrt.f64 (-.f64 918938533204673/1000000000000000 x)))
(*.f64 (cbrt.f64 (-.f64 918938533204673/1000000000000000 x)) (pow.f64 (cbrt.f64 (-.f64 918938533204673/1000000000000000 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 918938533204673/1000000000000000 x)) 2) (cbrt.f64 (-.f64 918938533204673/1000000000000000 x)))
(.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (.f64 x x)) (/.f64 1 (+.f64 918938533204673/1000000000000000 x)))
(.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) (/.f64 1 (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (.f64 x (+.f64 918938533204673/1000000000000000 x)))))
(.f64 (/.f64 1 (+.f64 918938533204673/1000000000000000 x)) (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (.f64 x x)))
(.f64 (/.f64 1 (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (.f64 x (+.f64 918938533204673/1000000000000000 x)))) (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)))
(.f64 (/.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (.f64 x x)) (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x x))) (-.f64 918938533204673/1000000000000000 x))
(.f64 (/.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (.f64 x x)) (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3))) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x (-.f64 x 918938533204673/1000000000000000))))
(.f64 (/.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) (-.f64 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 (.f64 (.f64 x x) (.f64 (+.f64 918938533204673/1000000000000000 x) (+.f64 918938533204673/1000000000000000 x))))) (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x (+.f64 918938533204673/1000000000000000 x))))
(.f64 (/.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) (+.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (.f64 x (+.f64 918938533204673/1000000000000000 x)) 3))) (+.f64 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 (.f64 (.f64 x (+.f64 918938533204673/1000000000000000 x)) (-.f64 (*.f64 x (+.f64 918938533204673/1000000000000000 x)) 844448027808355901771309036929/1000000000000000000000000000000))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (-.f64 918938533204673/1000000000000000 x))) (cbrt.f64 (-.f64 918938533204673/1000000000000000 x))) (*.f64 (sqrt.f64 (cbrt.f64 (-.f64 918938533204673/1000000000000000 x))) (cbrt.f64 (-.f64 918938533204673/1000000000000000 x))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (-.f64 918938533204673/1000000000000000 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 918938533204673/1000000000000000 x)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 918938533204673/1000000000000000 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 918938533204673/1000000000000000 x)) 2))))
(.f64 (.f64 (cbrt.f64 (-.f64 918938533204673/1000000000000000 x)) (sqrt.f64 (cbrt.f64 (-.f64 918938533204673/1000000000000000 x)))) (*.f64 (cbrt.f64 (-.f64 918938533204673/1000000000000000 x)) (sqrt.f64 (cbrt.f64 (-.f64 918938533204673/1000000000000000 x)))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 918938533204673/1000000000000000 x)) 2)) (cbrt.f64 (sqrt.f64 (-.f64 918938533204673/1000000000000000 x)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 918938533204673/1000000000000000 x)) 2)) (cbrt.f64 (sqrt.f64 (-.f64 918938533204673/1000000000000000 x)))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 918938533204673/1000000000000000 x)) 3/2) (pow.f64 (cbrt.f64 (-.f64 918938533204673/1000000000000000 x)) 3/2))
(*.f64 (pow.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3) 1/6) (pow.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3) 1/6))
(/.f64 1 (/.f64 1 (-.f64 918938533204673/1000000000000000 x)))
(/.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x x)) (+.f64 918938533204673/1000000000000000 x))
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(pow.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) 2))
(log.f64 (exp.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)))))
(cbrt.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))))
(exp.f64 (log.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))))
(log1p.f64 (expm1.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))))

Outputs
918938533204673/1000000000000000
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(-.f64 918938533204673/1000000000000000 x)
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(-.f64 918938533204673/1000000000000000 x)
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(-.f64 918938533204673/1000000000000000 x)
(*.f64 -1 x)
(neg.f64 x)
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(-.f64 918938533204673/1000000000000000 x)
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(-.f64 918938533204673/1000000000000000 x)
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(-.f64 918938533204673/1000000000000000 x)
(*.f64 -1 x)
(neg.f64 x)
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(-.f64 918938533204673/1000000000000000 x)
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(-.f64 918938533204673/1000000000000000 x)
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(-.f64 918938533204673/1000000000000000 x)
(-.f64 918938533204673/1000000000000000 x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(*.f64 y (-.f64 x 1/2))
(*.f64 y (+.f64 x -1/2))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(*.f64 y (-.f64 x 1/2))
(*.f64 y (+.f64 x -1/2))
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (-.f64 x 1/2))) x)
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(+.f64 (*.f64 -1/2 y) 918938533204673/1000000000000000)
(fma.f64 -1/2 y 918938533204673/1000000000000000)
(fma.f64 y -1/2 918938533204673/1000000000000000)
(+.f64 (.f64 (-.f64 y 1) x) (+.f64 918938533204673/1000000000000000 (.f64 -1/2 y)))
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(+.f64 (.f64 (-.f64 y 1) x) (+.f64 918938533204673/1000000000000000 (.f64 -1/2 y)))
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(+.f64 (.f64 (-.f64 y 1) x) (+.f64 918938533204673/1000000000000000 (.f64 -1/2 y)))
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(*.f64 (-.f64 y 1) x)
(*.f64 x (+.f64 y -1))
(*.f64 x (-.f64 y 1))
(*.f64 x (+.f64 -1 y))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 -1/2 y) (.f64 (-.f64 y 1) x)))
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 -1/2 y) (.f64 (-.f64 y 1) x)))
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 -1/2 y) (.f64 (-.f64 y 1) x)))
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(.f64 -1 (.f64 (+.f64 1 (*.f64 -1 y)) x))
(neg.f64 (*.f64 x (+.f64 1 (neg.f64 y))))
(*.f64 (-.f64 1 y) (neg.f64 x))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 -1/2 y) (.f64 -1 (.f64 (+.f64 1 (.f64 -1 y)) x))))
(+.f64 (fma.f64 -1/2 y 918938533204673/1000000000000000) (neg.f64 (*.f64 x (+.f64 1 (neg.f64 y)))))
(-.f64 (fma.f64 y -1/2 918938533204673/1000000000000000) (*.f64 x (-.f64 1 y)))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 -1/2 y) (.f64 -1 (.f64 (+.f64 1 (.f64 -1 y)) x))))
(+.f64 (fma.f64 -1/2 y 918938533204673/1000000000000000) (neg.f64 (*.f64 x (+.f64 1 (neg.f64 y)))))
(-.f64 (fma.f64 y -1/2 918938533204673/1000000000000000) (*.f64 x (-.f64 1 y)))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 -1/2 y) (.f64 -1 (.f64 (+.f64 1 (.f64 -1 y)) x))))
(+.f64 (fma.f64 -1/2 y 918938533204673/1000000000000000) (neg.f64 (*.f64 x (+.f64 1 (neg.f64 y)))))
(-.f64 (fma.f64 y -1/2 918938533204673/1000000000000000) (*.f64 x (-.f64 1 y)))
(+.f64 918938533204673/1000000000000000 (neg.f64 x))
(-.f64 918938533204673/1000000000000000 x)
(+.f64 (neg.f64 x) 918938533204673/1000000000000000)
(-.f64 918938533204673/1000000000000000 x)
(+.f64 (-.f64 918938533204673/1000000000000000 (exp.f64 (log1p.f64 x))) 1)
(+.f64 1 (-.f64 918938533204673/1000000000000000 (exp.f64 (log1p.f64 x))))
(-.f64 918938533204673/1000000000000000 (expm1.f64 (log1p.f64 x)))
(*.f64 (-.f64 918938533204673/1000000000000000 x) 1)
(-.f64 918938533204673/1000000000000000 x)
(*.f64 1 (-.f64 918938533204673/1000000000000000 x))
(-.f64 918938533204673/1000000000000000 x)
(*.f64 (sqrt.f64 (-.f64 918938533204673/1000000000000000 x)) (sqrt.f64 (-.f64 918938533204673/1000000000000000 x)))
(-.f64 918938533204673/1000000000000000 x)
(*.f64 (cbrt.f64 (-.f64 918938533204673/1000000000000000 x)) (pow.f64 (cbrt.f64 (-.f64 918938533204673/1000000000000000 x)) 2))
(-.f64 918938533204673/1000000000000000 x)
(*.f64 (pow.f64 (cbrt.f64 (-.f64 918938533204673/1000000000000000 x)) 2) (cbrt.f64 (-.f64 918938533204673/1000000000000000 x)))
(-.f64 918938533204673/1000000000000000 x)
(.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (.f64 x x)) (/.f64 1 (+.f64 918938533204673/1000000000000000 x)))
(/.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x x)) (+.f64 918938533204673/1000000000000000 x))
(.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) (/.f64 1 (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (.f64 x (+.f64 918938533204673/1000000000000000 x)))))
(/.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x (+.f64 918938533204673/1000000000000000 x))))
(/.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) (fma.f64 x (+.f64 918938533204673/1000000000000000 x) 844448027808355901771309036929/1000000000000000000000000000000))
(.f64 (/.f64 1 (+.f64 918938533204673/1000000000000000 x)) (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (.f64 x x)))
(.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (.f64 x x)) (/.f64 1 (+.f64 918938533204673/1000000000000000 x)))
(/.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x x)) (+.f64 918938533204673/1000000000000000 x))
(.f64 (/.f64 1 (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (.f64 x (+.f64 918938533204673/1000000000000000 x)))) (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)))
(/.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x (+.f64 918938533204673/1000000000000000 x))))
(/.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) (fma.f64 x (+.f64 918938533204673/1000000000000000 x) 844448027808355901771309036929/1000000000000000000000000000000))
(.f64 (/.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (.f64 x x)) (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x x))) (-.f64 918938533204673/1000000000000000 x))
(-.f64 918938533204673/1000000000000000 x)
(.f64 (/.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (.f64 x x)) (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3))) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x (-.f64 x 918938533204673/1000000000000000))))
(.f64 (/.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (.f64 x x)) (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3))) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x (+.f64 x -918938533204673/1000000000000000))))
(.f64 (/.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (.f64 x x)) (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3))) (fma.f64 x (+.f64 x -918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000))
(.f64 (/.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) (-.f64 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 (.f64 (.f64 x x) (.f64 (+.f64 918938533204673/1000000000000000 x) (+.f64 918938533204673/1000000000000000 x))))) (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x (+.f64 918938533204673/1000000000000000 x))))
(.f64 (/.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) (-.f64 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 (.f64 x (.f64 x (.f64 (+.f64 918938533204673/1000000000000000 x) (+.f64 918938533204673/1000000000000000 x)))))) (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x (+.f64 918938533204673/1000000000000000 x))))
(.f64 (/.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) (+.f64 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 (.f64 (.f64 x (.f64 x (+.f64 918938533204673/1000000000000000 x))) (-.f64 -918938533204673/1000000000000000 x)))) (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x (+.f64 918938533204673/1000000000000000 x))))
(.f64 (/.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) (+.f64 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 (.f64 (.f64 x (+.f64 918938533204673/1000000000000000 x)) (.f64 x (-.f64 -918938533204673/1000000000000000 x))))) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x (-.f64 -918938533204673/1000000000000000 x))))
(.f64 (/.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) (+.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (.f64 x (+.f64 918938533204673/1000000000000000 x)) 3))) (+.f64 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 (.f64 (.f64 x (+.f64 918938533204673/1000000000000000 x)) (-.f64 (*.f64 x (+.f64 918938533204673/1000000000000000 x)) 844448027808355901771309036929/1000000000000000000000000000000))))
(.f64 (/.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) (+.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (.f64 x (+.f64 918938533204673/1000000000000000 x)) 3))) (+.f64 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 (.f64 x (.f64 (+.f64 918938533204673/1000000000000000 x) (fma.f64 x (+.f64 918938533204673/1000000000000000 x) -844448027808355901771309036929/1000000000000000000000000000000)))))
(.f64 (/.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) (+.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (.f64 x (+.f64 918938533204673/1000000000000000 x)) 3))) (fma.f64 (*.f64 x (+.f64 918938533204673/1000000000000000 x)) (fma.f64 x (+.f64 918938533204673/1000000000000000 x) -844448027808355901771309036929/1000000000000000000000000000000) 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000))
(/.f64 (.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) (fma.f64 x (.f64 (+.f64 918938533204673/1000000000000000 x) (fma.f64 x (+.f64 918938533204673/1000000000000000 x) -844448027808355901771309036929/1000000000000000000000000000000)) 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000)) (+.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (*.f64 x (+.f64 918938533204673/1000000000000000 x)) 3)))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (-.f64 918938533204673/1000000000000000 x))) (cbrt.f64 (-.f64 918938533204673/1000000000000000 x))) (*.f64 (sqrt.f64 (cbrt.f64 (-.f64 918938533204673/1000000000000000 x))) (cbrt.f64 (-.f64 918938533204673/1000000000000000 x))))
(-.f64 918938533204673/1000000000000000 x)
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (-.f64 918938533204673/1000000000000000 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 918938533204673/1000000000000000 x)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 918938533204673/1000000000000000 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 918938533204673/1000000000000000 x)) 2))))
(.f64 (cbrt.f64 (sqrt.f64 (-.f64 918938533204673/1000000000000000 x))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 918938533204673/1000000000000000 x)) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 918938533204673/1000000000000000 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 918938533204673/1000000000000000 x)) 2)))))
(.f64 (pow.f64 (cbrt.f64 (-.f64 918938533204673/1000000000000000 x)) 2) (.f64 (cbrt.f64 (sqrt.f64 (-.f64 918938533204673/1000000000000000 x))) (cbrt.f64 (sqrt.f64 (-.f64 918938533204673/1000000000000000 x)))))
(.f64 (.f64 (cbrt.f64 (-.f64 918938533204673/1000000000000000 x)) (sqrt.f64 (cbrt.f64 (-.f64 918938533204673/1000000000000000 x)))) (*.f64 (cbrt.f64 (-.f64 918938533204673/1000000000000000 x)) (sqrt.f64 (cbrt.f64 (-.f64 918938533204673/1000000000000000 x)))))
(-.f64 918938533204673/1000000000000000 x)
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 918938533204673/1000000000000000 x)) 2)) (cbrt.f64 (sqrt.f64 (-.f64 918938533204673/1000000000000000 x)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 918938533204673/1000000000000000 x)) 2)) (cbrt.f64 (sqrt.f64 (-.f64 918938533204673/1000000000000000 x)))))
(.f64 (cbrt.f64 (sqrt.f64 (-.f64 918938533204673/1000000000000000 x))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 918938533204673/1000000000000000 x)) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 918938533204673/1000000000000000 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 918938533204673/1000000000000000 x)) 2)))))
(.f64 (pow.f64 (cbrt.f64 (-.f64 918938533204673/1000000000000000 x)) 2) (.f64 (cbrt.f64 (sqrt.f64 (-.f64 918938533204673/1000000000000000 x))) (cbrt.f64 (sqrt.f64 (-.f64 918938533204673/1000000000000000 x)))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 918938533204673/1000000000000000 x)) 3/2) (pow.f64 (cbrt.f64 (-.f64 918938533204673/1000000000000000 x)) 3/2))
(-.f64 918938533204673/1000000000000000 x)
(*.f64 (pow.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3) 1/6) (pow.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3) 1/6))
(-.f64 918938533204673/1000000000000000 x)
(/.f64 1 (/.f64 1 (-.f64 918938533204673/1000000000000000 x)))
(-.f64 918938533204673/1000000000000000 x)
(/.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x x)) (+.f64 918938533204673/1000000000000000 x))
(.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (.f64 x x)) (/.f64 1 (+.f64 918938533204673/1000000000000000 x)))
(/.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x (+.f64 918938533204673/1000000000000000 x))))
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(fma.f64 y (+.f64 x -1/2) (/.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) (fma.f64 x (+.f64 918938533204673/1000000000000000 x) 844448027808355901771309036929/1000000000000000000000000000000)))
(-.f64 (+.f64 (*.f64 y (+.f64 x -1/2)) (exp.f64 (log.f64 (-.f64 1918938533204673/1000000000000000 x)))) 1)
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(-.f64 (+.f64 (*.f64 y (+.f64 x -1/2)) (/.f64 844448027808355901771309036929/1000000000000000000000000000000 (+.f64 918938533204673/1000000000000000 x))) (/.f64 x (/.f64 (+.f64 918938533204673/1000000000000000 x) x)))
(+.f64 (-.f64 (/.f64 844448027808355901771309036929/1000000000000000000000000000000 (+.f64 918938533204673/1000000000000000 x)) (.f64 (/.f64 x (+.f64 918938533204673/1000000000000000 x)) x)) (.f64 y (+.f64 x -1/2)))
(fma.f64 y (+.f64 x -1/2) (/.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x x)) (+.f64 918938533204673/1000000000000000 x)))
(-.f64 (+.f64 (.f64 y (+.f64 x -1/2)) (/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (.f64 x (+.f64 918938533204673/1000000000000000 x))))) (/.f64 (pow.f64 x 3) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x (+.f64 918938533204673/1000000000000000 x)))))
(+.f64 (/.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (.f64 x (+.f64 918938533204673/1000000000000000 x)))) (.f64 y (+.f64 x -1/2)))
(fma.f64 y (+.f64 x -1/2) (/.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) (fma.f64 x (+.f64 918938533204673/1000000000000000 x) 844448027808355901771309036929/1000000000000000000000000000000)))
(-.f64 (+.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y (+.f64 x -1/2))) 0) x)
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(*.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) 1)
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(*.f64 1 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)))
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(*.f64 (sqrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))) (sqrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))))
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(*.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))) (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))) 2))
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))) 2) (cbrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))))
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)))) (cbrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)))) (cbrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)))))
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))) 2))))
(.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))) 2)))))
(.f64 (cbrt.f64 (sqrt.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x))) (.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)) 2) (cbrt.f64 (sqrt.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)))))
(.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)) 2) (.f64 (cbrt.f64 (sqrt.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x))) (cbrt.f64 (sqrt.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)))))
(.f64 (.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))) (sqrt.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))))) (*.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))) (sqrt.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))))))
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))))))
(.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))) 2)))))
(.f64 (cbrt.f64 (sqrt.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x))) (.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)) 2) (cbrt.f64 (sqrt.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)))))
(.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)) 2) (.f64 (cbrt.f64 (sqrt.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x))) (cbrt.f64 (sqrt.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))) 3/2) (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))) 3/2))
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(*.f64 (pow.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) 3) 1/6) (pow.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) 3) 1/6))
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(/.f64 (-.f64 (.f64 (pow.f64 (+.f64 x -1/2) 2) (.f64 y y)) (pow.f64 (-.f64 918938533204673/1000000000000000 x) 2)) (+.f64 (-.f64 (*.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000) x))
(/.f64 (-.f64 (.f64 (pow.f64 (+.f64 x -1/2) 2) (.f64 y y)) (pow.f64 (-.f64 918938533204673/1000000000000000 x) 2)) (+.f64 x (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000)))
(/.f64 (+.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3) (pow.f64 (.f64 y (+.f64 x -1/2)) 3)) (+.f64 (.f64 (pow.f64 (+.f64 x -1/2) 2) (.f64 y y)) (.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 (-.f64 918938533204673/1000000000000000 x) (*.f64 y (+.f64 x -1/2))))))
(/.f64 (+.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3) (pow.f64 (.f64 y (+.f64 x -1/2)) 3)) (fma.f64 (pow.f64 (+.f64 x -1/2) 2) (.f64 y y) (.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 918938533204673/1000000000000000 (+.f64 x (.f64 y (+.f64 x -1/2)))))))
(/.f64 (+.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3) (pow.f64 (.f64 y (+.f64 x -1/2)) 3)) (fma.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 (-.f64 918938533204673/1000000000000000 x) (.f64 y (+.f64 x -1/2))) (.f64 (pow.f64 (+.f64 x -1/2) 2) (.f64 y y))))
(/.f64 (.f64 1 (-.f64 (.f64 (pow.f64 (+.f64 x -1/2) 2) (.f64 y y)) (pow.f64 (-.f64 918938533204673/1000000000000000 x) 2))) (+.f64 (-.f64 (.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000) x))
(/.f64 (-.f64 (.f64 (pow.f64 (+.f64 x -1/2) 2) (.f64 y y)) (pow.f64 (-.f64 918938533204673/1000000000000000 x) 2)) (+.f64 x (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000)))
(/.f64 (.f64 1 (+.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3) (pow.f64 (.f64 y (+.f64 x -1/2)) 3))) (+.f64 (.f64 (pow.f64 (+.f64 x -1/2) 2) (.f64 y y)) (.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 (-.f64 918938533204673/1000000000000000 x) (.f64 y (+.f64 x -1/2))))))
(/.f64 (+.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3) (pow.f64 (.f64 y (+.f64 x -1/2)) 3)) (fma.f64 (pow.f64 (+.f64 x -1/2) 2) (.f64 y y) (.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 918938533204673/1000000000000000 (+.f64 x (.f64 y (+.f64 x -1/2)))))))
(/.f64 (+.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3) (pow.f64 (.f64 y (+.f64 x -1/2)) 3)) (fma.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 (-.f64 918938533204673/1000000000000000 x) (.f64 y (+.f64 x -1/2))) (.f64 (pow.f64 (+.f64 x -1/2) 2) (.f64 y y))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (+.f64 x -1/2) 2) (.f64 y y)) (pow.f64 (-.f64 918938533204673/1000000000000000 x) 2)) 1) (+.f64 (-.f64 (.f64 y (+.f64 x -1/2)) 918938533204673/1000000000000000) x))
(/.f64 (-.f64 (.f64 (pow.f64 (+.f64 x -1/2) 2) (.f64 y y)) (pow.f64 (-.f64 918938533204673/1000000000000000 x) 2)) (+.f64 x (fma.f64 y (+.f64 x -1/2) -918938533204673/1000000000000000)))
(/.f64 (.f64 (+.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3) (pow.f64 (.f64 y (+.f64 x -1/2)) 3)) 1) (+.f64 (.f64 (pow.f64 (+.f64 x -1/2) 2) (.f64 y y)) (.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 (-.f64 918938533204673/1000000000000000 x) (.f64 y (+.f64 x -1/2))))))
(/.f64 (+.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3) (pow.f64 (.f64 y (+.f64 x -1/2)) 3)) (fma.f64 (pow.f64 (+.f64 x -1/2) 2) (.f64 y y) (.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 918938533204673/1000000000000000 (+.f64 x (.f64 y (+.f64 x -1/2)))))))
(/.f64 (+.f64 (pow.f64 (-.f64 918938533204673/1000000000000000 x) 3) (pow.f64 (.f64 y (+.f64 x -1/2)) 3)) (fma.f64 (-.f64 918938533204673/1000000000000000 x) (-.f64 (-.f64 918938533204673/1000000000000000 x) (.f64 y (+.f64 x -1/2))) (.f64 (pow.f64 (+.f64 x -1/2) 2) (.f64 y y))))
(pow.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) 1)
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(pow.f64 (sqrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))) 2)
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))) 3)
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(pow.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) 3) 1/3)
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(sqrt.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) 2))
(fabs.f64 (-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x))
(log.f64 (exp.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))))
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)))))
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(cbrt.f64 (pow.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x)) 3))
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(expm1.f64 (log1p.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))))
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(exp.f64 (log.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))))
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)
(log1p.f64 (expm1.f64 (fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))))
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(-.f64 (fma.f64 y (+.f64 x -1/2) 918938533204673/1000000000000000) x)

eval435.0ms (7.4%)

Compiler: Compiled 16911 to 12228 computations (27.7% saved)

prune204.0ms (3.5%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	681	7	688
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	683	7	690

Error

Counts

690 → 7

Alt Table

Click to see full alt table

Status	Error	Program
	35.6b	(-.f64 (*.f64 y x) x)
▶	27.9b	(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))
▶	27.7b	(-.f64 918938533204673/1000000000000000 x)
▶	16.6b	(+.f64 (/.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (.f64 x (+.f64 918938533204673/1000000000000000 x)))) (.f64 y (+.f64 x -1/2)))
	18.1b	(+.f64 (-.f64 (.f64 y x) (.f64 y 1/2)) 918938533204673/1000000000000000)
▶	35.6b	(*.f64 (-.f64 y 1) x)
▶	35.9b	(*.f64 y (-.f64 x 1/2))

Compiler

Compiled 130 to 96 computations (26.2% saved)

localize33.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3))
✓	0.0b	(+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x (+.f64 918938533204673/1000000000000000 x)))
✓	0.0b	(*.f64 x (+.f64 918938533204673/1000000000000000 x))
✓	16.2b	(/.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x (+.f64 918938533204673/1000000000000000 x))))

Compiler

Compiled 72 to 52 computations (27.8% saved)

series3.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(/.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x (+.f64 918938533204673/1000000000000000 x))))
1.0ms	x	@	inf	(/.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x (+.f64 918938533204673/1000000000000000 x))))
1.0ms	x	@	0	(/.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x (+.f64 918938533204673/1000000000000000 x))))
0.0ms	x	@	inf	(*.f64 x (+.f64 918938533204673/1000000000000000 x))
0.0ms	x	@	-inf	(-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3))

rewrite190.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1840×	`associate-/r*`
1420×	`associate-/l*`
1208×	`associate-/r/`
298×	`add-sqr-sqrt`
284×	`add-cbrt-cube`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	82
1	308	48
2	4065	48

Stop Event

1×	node limit

Counts

4 → 261

Calls

Call 1

Inputs
(/.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x (+.f64 918938533204673/1000000000000000 x))))
(*.f64 x (+.f64 918938533204673/1000000000000000 x))
(+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x (+.f64 918938533204673/1000000000000000 x)))
(-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 918938533204673/1000000000000000 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 918938533204673/1000000000000000 (.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 918938533204673/1000000000000000 (.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 918938533204673/1000000000000000 (.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)) (neg.f64 (/.f64 (pow.f64 x 3) (fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) 918938533204673/1000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 -1 x) 918938533204673/1000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)) 918938533204673/1000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) 918938533204673/1000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (/.f64 (pow.f64 x 3) (fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000))) (/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 918938533204673/1000000000000000 (exp.f64 (log1p.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 918938533204673/1000000000000000 x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 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(pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 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simplify232.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

1180×	`associate-r`
1038×	`associate-/l*`
860×	`associate-l`
738×	`associate-/l/`
686×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	638	12997
1	1855	12529

Stop Event

1×	node limit

Counts

309 → 417

Calls

Call 1

Inputs
918938533204673/1000000000000000
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(*.f64 -1 x)
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(*.f64 -1 x)
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(*.f64 918938533204673/1000000000000000 x)
(+.f64 (*.f64 918938533204673/1000000000000000 x) (pow.f64 x 2))
(+.f64 (*.f64 918938533204673/1000000000000000 x) (pow.f64 x 2))
(+.f64 (*.f64 918938533204673/1000000000000000 x) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 918938533204673/1000000000000000 x) (pow.f64 x 2))
(+.f64 (*.f64 918938533204673/1000000000000000 x) (pow.f64 x 2))
(+.f64 (*.f64 918938533204673/1000000000000000 x) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 918938533204673/1000000000000000 x) (pow.f64 x 2))
(+.f64 (*.f64 918938533204673/1000000000000000 x) (pow.f64 x 2))
(+.f64 (*.f64 918938533204673/1000000000000000 x) (pow.f64 x 2))
844448027808355901771309036929/1000000000000000000000000000000
(+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 918938533204673/1000000000000000 x))
(+.f64 844448027808355901771309036929/1000000000000000000000000000000 (+.f64 (*.f64 918938533204673/1000000000000000 x) (pow.f64 x 2)))
(+.f64 844448027808355901771309036929/1000000000000000000000000000000 (+.f64 (*.f64 918938533204673/1000000000000000 x) (pow.f64 x 2)))
(pow.f64 x 2)
(+.f64 (*.f64 918938533204673/1000000000000000 x) (pow.f64 x 2))
(+.f64 844448027808355901771309036929/1000000000000000000000000000000 (+.f64 (*.f64 918938533204673/1000000000000000 x) (pow.f64 x 2)))
(+.f64 844448027808355901771309036929/1000000000000000000000000000000 (+.f64 (*.f64 918938533204673/1000000000000000 x) (pow.f64 x 2)))
(pow.f64 x 2)
(+.f64 (*.f64 918938533204673/1000000000000000 x) (pow.f64 x 2))
(+.f64 844448027808355901771309036929/1000000000000000000000000000000 (+.f64 (*.f64 918938533204673/1000000000000000 x) (pow.f64 x 2)))
(+.f64 844448027808355901771309036929/1000000000000000000000000000000 (+.f64 (*.f64 918938533204673/1000000000000000 x) (pow.f64 x 2)))
775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000
(+.f64 (*.f64 -1 (pow.f64 x 3)) 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000)
(+.f64 (*.f64 -1 (pow.f64 x 3)) 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000)
(+.f64 (*.f64 -1 (pow.f64 x 3)) 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000)
(*.f64 -1 (pow.f64 x 3))
(+.f64 (*.f64 -1 (pow.f64 x 3)) 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000)
(+.f64 (*.f64 -1 (pow.f64 x 3)) 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000)
(+.f64 (*.f64 -1 (pow.f64 x 3)) 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000)
(*.f64 -1 (pow.f64 x 3))
(+.f64 (*.f64 -1 (pow.f64 x 3)) 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000)
(+.f64 (*.f64 -1 (pow.f64 x 3)) 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000)
(+.f64 (*.f64 -1 (pow.f64 x 3)) 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000)
(+.f64 918938533204673/1000000000000000 (neg.f64 x))
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(+.f64 918938533204673/1000000000000000 (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)))
(+.f64 918938533204673/1000000000000000 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)))
(+.f64 (/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)) (neg.f64 (/.f64 (pow.f64 x 3) (fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000))))
(+.f64 (neg.f64 x) 918938533204673/1000000000000000)
(+.f64 (*.f64 -1 x) 918938533204673/1000000000000000)
(+.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)) 918938533204673/1000000000000000)
(+.f64 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) 918938533204673/1000000000000000)
(+.f64 (neg.f64 (/.f64 (pow.f64 x 3) (fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000))) (/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)))
(+.f64 (-.f64 918938533204673/1000000000000000 (exp.f64 (log1p.f64 x))) 1)
(-.f64 918938533204673/1000000000000000 x)
(-.f64 (/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)) (/.f64 (pow.f64 x 3) (fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)))
(-.f64 (exp.f64 (log.f64 (-.f64 1918938533204673/1000000000000000 x))) 1)
(*.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)))
(*.f64 (-.f64 918938533204673/1000000000000000 x) 1)
(*.f64 1 (-.f64 918938533204673/1000000000000000 x))
(*.f64 (sqrt.f64 (-.f64 918938533204673/1000000000000000 x)) (sqrt.f64 (-.f64 918938533204673/1000000000000000 x)))
(.f64 (sqrt.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3))) (.f64 (sqrt.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3))) (/.f64 1 (fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000))))
(*.f64 (cbrt.f64 (-.f64 918938533204673/1000000000000000 x)) (pow.f64 (cbrt.f64 (-.f64 918938533204673/1000000000000000 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 918938533204673/1000000000000000 x)) 2) (cbrt.f64 (-.f64 918938533204673/1000000000000000 x)))
(.f64 (pow.f64 (cbrt.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3))) 2) (.f64 (cbrt.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3))) (/.f64 1 (fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000))))
(*.f64 (/.f64 1 (fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)) (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)))
(*.f64 (+.f64 -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) (/.f64 -1 (fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000))) (/.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) (sqrt.f64 (fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)) 2)) (/.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) (cbrt.f64 (fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000))))
(.f64 (/.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) (-.f64 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 (pow.f64 (.f64 x (+.f64 x 918938533204673/1000000000000000)) 2))) (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x (+.f64 x 918938533204673/1000000000000000))))
(.f64 (/.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) (+.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (.f64 x (+.f64 x 918938533204673/1000000000000000)) 3))) (+.f64 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 (.f64 (.f64 x (+.f64 x 918938533204673/1000000000000000)) (-.f64 (*.f64 x (+.f64 x 918938533204673/1000000000000000)) 844448027808355901771309036929/1000000000000000000000000000000))))
(.f64 (/.f64 1 (-.f64 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 (pow.f64 (.f64 x (+.f64 x 918938533204673/1000000000000000)) 2))) (.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (.f64 x (+.f64 x 918938533204673/1000000000000000)))))
(.f64 (/.f64 1 (+.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (.f64 x (+.f64 x 918938533204673/1000000000000000)) 3))) (.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) (+.f64 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 (.f64 (.f64 x (+.f64 x 918938533204673/1000000000000000)) (-.f64 (.f64 x (+.f64 x 918938533204673/1000000000000000)) 844448027808355901771309036929/1000000000000000000000000000000)))))
(*.f64 (/.f64 -1 (fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)) (+.f64 -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3))) 1) (/.f64 (sqrt.f64 (-.f64 918938533204673/1000000000000000 x)) (sqrt.f64 (fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 918938533204673/1000000000000000 x)) (sqrt.f64 (fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000))) (sqrt.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3))) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)) 2)) (/.f64 (sqrt.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3))) (cbrt.f64 (fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3))) 2) 1) (/.f64 (cbrt.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3))) (fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3))) 2) (sqrt.f64 (fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000))) (/.f64 (cbrt.f64 (-.f64 918938533204673/1000000000000000 x)) (cbrt.f64 (sqrt.f64 (fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3))) 2) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x 918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)) 2)) (cbrt.f64 (-.f64 918938533204673/1000000000000000 x)))
(.f64 (/.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (.f64 x x)) 1) (/.f64 1 (+.f64 x 918938533204673/1000000000000000)))
(.f64 (/.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (.f64 x x)) (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x x))) (-.f64 918938533204673/1000000000000000 x))
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(*.f64 (cbrt.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3))) (pow.f64 (cbrt.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3))) 2) (cbrt.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3))))
(*.f64 (-.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)) (/.f64 1 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3))))
(.f64 (-.f64 467281046507231535557839844855961690659155326809117752385379341233607442881727175514780123368029846518396839376786774913239842372741313/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 9)) (/.f64 1 (+.f64 (.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) (+.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)))))
(*.f64 (/.f64 1 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3))) (-.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)))
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(*.f64 (/.f64 (-.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)) (-.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6))) (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)))
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(.f64 (/.f64 (-.f64 467281046507231535557839844855961690659155326809117752385379341233607442881727175514780123368029846518396839376786774913239842372741313/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 9)) (-.f64 362608144481737265469833158440909721442932810515854431161650993725206607598521654984904889891681218140052228517708656871622887861039002027680580916909490404125446691232045765361921/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (.f64 (+.f64 (pow.f64 x 6) (.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3))) (+.f64 (pow.f64 x 6) (.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)))))) (-.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (+.f64 (pow.f64 x 6) (*.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)))))
(.f64 (/.f64 (-.f64 467281046507231535557839844855961690659155326809117752385379341233607442881727175514780123368029846518396839376786774913239842372741313/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 9)) (+.f64 218351576424893481256591023073907143186364958193073216492478351667247827135876952934563866152186084732452167596134641203190508977325664676697244051633010145066388882180918353354430972616850799153568804235951172997032331675858861750773873613633420577923720921178416963969/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (+.f64 (pow.f64 x 6) (.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3))) 3))) (+.f64 362608144481737265469833158440909721442932810515854431161650993725206607598521654984904889891681218140052228517708656871622887861039002027680580916909490404125446691232045765361921/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (-.f64 (.f64 (+.f64 (pow.f64 x 6) (.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3))) (+.f64 (pow.f64 x 6) (.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)))) (.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (+.f64 (pow.f64 x 6) (*.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)))))))
(/.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) 1)
(/.f64 1 (/.f64 1 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3))))
(/.f64 (sqrt.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3))) (/.f64 1 (sqrt.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)))))
(/.f64 (cbrt.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3))) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3))) 2)))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3))) 2) (/.f64 1 (cbrt.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)))))
(/.f64 (-.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)) (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)))
(/.f64 (-.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)) (/.f64 1 (/.f64 1 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)))))
(/.f64 (-.f64 467281046507231535557839844855961690659155326809117752385379341233607442881727175514780123368029846518396839376786774913239842372741313/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 9)) (+.f64 (*.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) (+.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6))))
(/.f64 (-.f64 467281046507231535557839844855961690659155326809117752385379341233607442881727175514780123368029846518396839376786774913239842372741313/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 9)) (/.f64 1 (/.f64 1 (+.f64 (*.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) (+.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6))))))
(/.f64 (sqrt.f64 (-.f64 467281046507231535557839844855961690659155326809117752385379341233607442881727175514780123368029846518396839376786774913239842372741313/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 9))) (/.f64 (+.f64 (*.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) (+.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6))) (sqrt.f64 (-.f64 467281046507231535557839844855961690659155326809117752385379341233607442881727175514780123368029846518396839376786774913239842372741313/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 9)))))
(/.f64 (sqrt.f64 (-.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6))) (/.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) (sqrt.f64 (-.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 467281046507231535557839844855961690659155326809117752385379341233607442881727175514780123368029846518396839376786774913239842372741313/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 9))) (cbrt.f64 (-.f64 467281046507231535557839844855961690659155326809117752385379341233607442881727175514780123368029846518396839376786774913239842372741313/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 9)))) (/.f64 (+.f64 (.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) (+.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6))) (cbrt.f64 (-.f64 467281046507231535557839844855961690659155326809117752385379341233607442881727175514780123368029846518396839376786774913239842372741313/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 9)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6))) (cbrt.f64 (-.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)))) (/.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) (cbrt.f64 (-.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)))))
(/.f64 (neg.f64 (-.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6))) (neg.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3))))
(/.f64 (neg.f64 (-.f64 467281046507231535557839844855961690659155326809117752385379341233607442881727175514780123368029846518396839376786774913239842372741313/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 9))) (neg.f64 (+.f64 (*.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) (+.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)))))
(/.f64 (-.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (*.f64 (neg.f64 (pow.f64 x 3)) (neg.f64 (pow.f64 x 3)))) (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)))
(/.f64 (+.f64 467281046507231535557839844855961690659155326809117752385379341233607442881727175514780123368029846518396839376786774913239842372741313/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (neg.f64 (pow.f64 x 3)) 3)) (-.f64 (+.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (.f64 (neg.f64 (pow.f64 x 3)) (neg.f64 (pow.f64 x 3)))) (.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (neg.f64 (pow.f64 x 3)))))
(/.f64 (/.f64 (-.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)) 1) (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)))
(/.f64 (/.f64 (-.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)) (sqrt.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)))) (sqrt.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3))))
(/.f64 (/.f64 (-.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)) (*.f64 (cbrt.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3))) (cbrt.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3))))) (cbrt.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3))))
(/.f64 (/.f64 (-.f64 467281046507231535557839844855961690659155326809117752385379341233607442881727175514780123368029846518396839376786774913239842372741313/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 9)) 1) (+.f64 (*.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) (+.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6))))
(/.f64 (/.f64 (-.f64 467281046507231535557839844855961690659155326809117752385379341233607442881727175514780123368029846518396839376786774913239842372741313/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 9)) (sqrt.f64 (+.f64 (.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) (+.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6))))) (sqrt.f64 (+.f64 (.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) (+.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)))))
(/.f64 (/.f64 (-.f64 467281046507231535557839844855961690659155326809117752385379341233607442881727175514780123368029846518396839376786774913239842372741313/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 9)) (.f64 (cbrt.f64 (+.f64 (.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) (+.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)))) (cbrt.f64 (+.f64 (.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) (+.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)))))) (cbrt.f64 (+.f64 (.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) (+.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)))))
(pow.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) 1)
(pow.f64 (sqrt.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3))) 2)
(pow.f64 (cbrt.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3))) 3)
(pow.f64 (pow.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) 2))
(log.f64 (exp.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)))))
(cbrt.f64 (pow.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) 3))
(expm1.f64 (log1p.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3))))
(exp.f64 (log.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3))))
(exp.f64 (*.f64 (log.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3))) 1))
(log1p.f64 (expm1.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3))))

Outputs
918938533204673/1000000000000000
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(-.f64 918938533204673/1000000000000000 x)
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(-.f64 918938533204673/1000000000000000 x)
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(-.f64 918938533204673/1000000000000000 x)
(*.f64 -1 x)
(neg.f64 x)
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(-.f64 918938533204673/1000000000000000 x)
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(-.f64 918938533204673/1000000000000000 x)
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(-.f64 918938533204673/1000000000000000 x)
(*.f64 -1 x)
(neg.f64 x)
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(-.f64 918938533204673/1000000000000000 x)
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(-.f64 918938533204673/1000000000000000 x)
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(-.f64 918938533204673/1000000000000000 x)
(*.f64 918938533204673/1000000000000000 x)
(+.f64 (*.f64 918938533204673/1000000000000000 x) (pow.f64 x 2))
(*.f64 x (+.f64 918938533204673/1000000000000000 x))
(+.f64 (*.f64 918938533204673/1000000000000000 x) (pow.f64 x 2))
(*.f64 x (+.f64 918938533204673/1000000000000000 x))
(+.f64 (*.f64 918938533204673/1000000000000000 x) (pow.f64 x 2))
(*.f64 x (+.f64 918938533204673/1000000000000000 x))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 918938533204673/1000000000000000 x) (pow.f64 x 2))
(*.f64 x (+.f64 918938533204673/1000000000000000 x))
(+.f64 (*.f64 918938533204673/1000000000000000 x) (pow.f64 x 2))
(*.f64 x (+.f64 918938533204673/1000000000000000 x))
(+.f64 (*.f64 918938533204673/1000000000000000 x) (pow.f64 x 2))
(*.f64 x (+.f64 918938533204673/1000000000000000 x))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 918938533204673/1000000000000000 x) (pow.f64 x 2))
(*.f64 x (+.f64 918938533204673/1000000000000000 x))
(+.f64 (*.f64 918938533204673/1000000000000000 x) (pow.f64 x 2))
(*.f64 x (+.f64 918938533204673/1000000000000000 x))
(+.f64 (*.f64 918938533204673/1000000000000000 x) (pow.f64 x 2))
(*.f64 x (+.f64 918938533204673/1000000000000000 x))
844448027808355901771309036929/1000000000000000000000000000000
(+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 918938533204673/1000000000000000 x))
(+.f64 844448027808355901771309036929/1000000000000000000000000000000 (+.f64 (*.f64 918938533204673/1000000000000000 x) (pow.f64 x 2)))
(fma.f64 x (+.f64 918938533204673/1000000000000000 x) 844448027808355901771309036929/1000000000000000000000000000000)
(+.f64 844448027808355901771309036929/1000000000000000000000000000000 (+.f64 (*.f64 918938533204673/1000000000000000 x) (pow.f64 x 2)))
(fma.f64 x (+.f64 918938533204673/1000000000000000 x) 844448027808355901771309036929/1000000000000000000000000000000)
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 918938533204673/1000000000000000 x) (pow.f64 x 2))
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(/.f64 (+.f64 467281046507231535557839844855961690659155326809117752385379341233607442881727175514780123368029846518396839376786774913239842372741313/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (neg.f64 (pow.f64 (pow.f64 x 3) 3))) (+.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (-.f64 (pow.f64 x 6) (neg.f64 (pow.f64 (*.f64 918938533204673/1000000000000000 x) 3)))))
(/.f64 (+.f64 467281046507231535557839844855961690659155326809117752385379341233607442881727175514780123368029846518396839376786774913239842372741313/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (neg.f64 (pow.f64 (pow.f64 x 3) 3))) (fma.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3) (+.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6))))
(/.f64 (/.f64 (-.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)) 1) (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)))
(/.f64 (-.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)) (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)))
(/.f64 (/.f64 (-.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)) (sqrt.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)))) (sqrt.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3))))
(/.f64 (-.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)) (*.f64 (sqrt.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3))) (sqrt.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)))))
(/.f64 (/.f64 (-.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)) (*.f64 (cbrt.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3))) (cbrt.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3))))) (cbrt.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3))))
(/.f64 (-.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)) (.f64 (cbrt.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3))) (.f64 (cbrt.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3))) (cbrt.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3))))))
(/.f64 (/.f64 (-.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)) (cbrt.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)))) (*.f64 (cbrt.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3))) (cbrt.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)))))
(/.f64 (/.f64 (-.f64 467281046507231535557839844855961690659155326809117752385379341233607442881727175514780123368029846518396839376786774913239842372741313/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 9)) 1) (+.f64 (*.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) (+.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6))))
(/.f64 (-.f64 467281046507231535557839844855961690659155326809117752385379341233607442881727175514780123368029846518396839376786774913239842372741313/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 9)) (fma.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3) (+.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6))))
(/.f64 (/.f64 (-.f64 467281046507231535557839844855961690659155326809117752385379341233607442881727175514780123368029846518396839376786774913239842372741313/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 9)) (sqrt.f64 (+.f64 (.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) (+.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6))))) (sqrt.f64 (+.f64 (.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) (+.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)))))
(/.f64 (-.f64 467281046507231535557839844855961690659155326809117752385379341233607442881727175514780123368029846518396839376786774913239842372741313/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 9)) (*.f64 (sqrt.f64 (fma.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3) (+.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)))) (sqrt.f64 (fma.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3) (+.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6))))))
(/.f64 (/.f64 (-.f64 467281046507231535557839844855961690659155326809117752385379341233607442881727175514780123368029846518396839376786774913239842372741313/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 9)) (.f64 (cbrt.f64 (+.f64 (.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) (+.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)))) (cbrt.f64 (+.f64 (.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) (+.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)))))) (cbrt.f64 (+.f64 (.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) (+.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)))))
(/.f64 (-.f64 467281046507231535557839844855961690659155326809117752385379341233607442881727175514780123368029846518396839376786774913239842372741313/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 9)) (.f64 (cbrt.f64 (fma.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3) (+.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)))) (.f64 (cbrt.f64 (fma.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3) (+.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)))) (cbrt.f64 (fma.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3) (+.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)))))))
(/.f64 (/.f64 (-.f64 467281046507231535557839844855961690659155326809117752385379341233607442881727175514780123368029846518396839376786774913239842372741313/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 9)) (cbrt.f64 (fma.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3) (+.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6))))) (*.f64 (cbrt.f64 (fma.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3) (+.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6)))) (cbrt.f64 (fma.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3) (+.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 6))))))
(pow.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) 1)
(-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3))
(pow.f64 (sqrt.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3))) 2)
(-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3))
(pow.f64 (cbrt.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3))) 3)
(-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3))
(pow.f64 (pow.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) 3) 1/3)
(-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3))
(sqrt.f64 (pow.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) 2))
(log.f64 (exp.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3))))
(-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)))))
(-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3))
(cbrt.f64 (pow.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) 3))
(-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3))
(expm1.f64 (log1p.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3))))
(-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3))
(exp.f64 (log.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3))))
(-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3))
(exp.f64 (*.f64 (log.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3))) 1))
(-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3))
(log1p.f64 (expm1.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3))))
(-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3))

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.0b	(-.f64 918938533204673/1000000000000000 x)

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 8 computations (38.5% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

6 calls:

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

rewrite53.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1574×	`add-sqr-sqrt`
1550×	`*-un-lft-identity`
1452×	`add-cube-cbrt`
1436×	`add-cbrt-cube`
1422×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	152	13
2	1891	13

Stop Event

1×	node limit

Counts

1 → 18

Calls

Call 1

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

Outputs

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

simplify75.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

948×	`*-commutative`
884×	`log-prod`
862×	`fma-def`
862×	`+-commutative`
734×	`associate-+r-`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	62	464
1	143	456
2	415	456
3	2373	452
4	4613	452
5	7181	452

Stop Event

1×	node limit

Counts

30 → 30

Calls

Call 1

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

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

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (-.f64 y 1) x)

Compiler

Compiled 13 to 8 computations (38.5% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

6 calls:

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

rewrite50.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1412×	`add-sqr-sqrt`
1396×	`*-un-lft-identity`
1302×	`add-cube-cbrt`
1286×	`add-cbrt-cube`
1274×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	144	13
2	1785	13

Stop Event

1×	node limit

Counts

1 → 18

Calls

Call 1

Inputs
(*.f64 (-.f64 y 1) x)

Outputs

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

simplify57.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1034×	`*-commutative`
874×	`fma-def`
688×	`associate-r`
606×	`associate-l`
604×	`distribute-lft-out`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	422
1	130	422
2	404	422
3	2396	422
4	4947	422

Stop Event

1×	node limit

Counts

30 → 28

Calls

Call 1

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

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

localize5.0ms (0.1%)

Compiler: Compiled 13 to 10 computations (23.1% saved)

eval550.0ms (9.3%)

Compiler: Compiled 16412 to 12346 computations (24.8% saved)

prune113.0ms (1.9%)

Pruning

11 alts after pruning (7 fresh and 4 done)

	Pruned	Kept	Total
New	591	6	597
Fresh	1	1	2
Picked	0	1	1
Done	1	3	4
Total	593	11	604

Error

Counts

604 → 11

Alt Table

Click to see full alt table

Status	Error	Program
	39.4b	(/.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x (+.f64 918938533204673/1000000000000000 x))))
▶	35.6b	(-.f64 (*.f64 y x) x)
✓	27.9b	(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))
✓	27.7b	(-.f64 918938533204673/1000000000000000 x)
▶	35.9b	(+.f64 (.f64 y x) (.f64 y -1/2))
✓	35.6b	(*.f64 (-.f64 y 1) x)
✓	35.9b	(*.f64 y (-.f64 x 1/2))
▶	53.1b	(*.f64 y x)
▶	45.8b	(*.f64 -1/2 y)
▶	45.7b	(neg.f64 x)
	44.7b	918938533204673/1000000000000000

Compiler

Compiled 119 to 87 computations (26.9% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (*.f64 y x) x)

Compiler

Compiled 12 to 4 computations (66.7% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite54.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1486×	`add-sqr-sqrt`
1470×	`*-un-lft-identity`
1372×	`add-cube-cbrt`
1358×	`add-cbrt-cube`
1346×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	132	13
2	1802	13

Stop Event

1×	node limit

Counts

1 → 39

Calls

Call 1

Inputs
(-.f64 (*.f64 y x) x)

Outputs

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

simplify66.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1248×	`associate-+l+`
776×	`associate-/l/`
740×	`associate-*r/`
702×	`fma-def`
610×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	110	1273
1	282	1193
2	1186	1193
3	4484	1193

Stop Event

1×	node limit

Counts

63 → 55

Calls

Call 1

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

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

localize3.0ms (0.1%)

Compiler: Compiled 5 to 3 computations (40% saved)

localize3.0ms (0%)

Compiler: Compiled 7 to 5 computations (28.6% saved)

localize3.0ms (0%)

Compiler: Compiled 7 to 3 computations (57.1% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 18 to 9 computations (50% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite57.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1864×	`add-sqr-sqrt`
1842×	`*-un-lft-identity`
1724×	`add-cube-cbrt`
1708×	`add-cbrt-cube`
176×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	174	13
2	2279	13

Stop Event

1×	node limit

Counts

1 → 43

Calls

Call 1

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

Outputs

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

simplify64.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1140×	`associate-+r+`
1104×	`times-frac`
1104×	`associate-/r/`
940×	`associate-+l+`
532×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	117	1429
1	319	1349
2	1264	1313
3	5640	1313

Stop Event

1×	node limit

Counts

67 → 55

Calls

Call 1

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

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

eval23.0ms (0.4%)

Compiler: Compiled 1348 to 681 computations (49.5% saved)

prune17.0ms (0.3%)

Pruning

11 alts after pruning (2 fresh and 9 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	2	2
Picked	0	1	1
Done	0	8	8
Total	110	11	121

Error

Counts

121 → 11

Alt Table

Click to see full alt table

Status	Error	Program
▶	39.4b	(/.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x (+.f64 918938533204673/1000000000000000 x))))
✓	35.6b	(-.f64 (*.f64 y x) x)
✓	27.9b	(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))
✓	27.7b	(-.f64 918938533204673/1000000000000000 x)
✓	35.9b	(+.f64 (.f64 y x) (.f64 y -1/2))
✓	35.6b	(*.f64 (-.f64 y 1) x)
✓	35.9b	(*.f64 y (-.f64 x 1/2))
✓	53.1b	(*.f64 y x)
✓	45.8b	(*.f64 -1/2 y)
✓	45.7b	(neg.f64 x)
	44.7b	918938533204673/1000000000000000

Compiler

Compiled 74 to 55 computations (25.7% saved)

localize20.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3))
	0.0b	(+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x (+.f64 918938533204673/1000000000000000 x)))
	0.0b	(*.f64 x (+.f64 918938533204673/1000000000000000 x))
	16.2b	(/.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x (+.f64 918938533204673/1000000000000000 x))))

Compiler

Compiled 43 to 32 computations (25.6% saved)

eval217.0ms (3.7%)

Compiler: Compiled 11394 to 8861 computations (22.2% saved)

prune71.0ms (1.2%)

Pruning

11 alts after pruning (1 fresh and 10 done)

	Pruned	Kept	Total
New	417	0	417
Fresh	0	1	1
Picked	0	1	1
Done	0	9	9
Total	417	11	428

Error

Counts

428 → 11

Alt Table

Click to see full alt table

Status	Error	Program
✓	39.4b	(/.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x (+.f64 918938533204673/1000000000000000 x))))
✓	35.6b	(-.f64 (*.f64 y x) x)
✓	27.9b	(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))
✓	27.7b	(-.f64 918938533204673/1000000000000000 x)
✓	35.9b	(+.f64 (.f64 y x) (.f64 y -1/2))
✓	35.6b	(*.f64 (-.f64 y 1) x)
✓	35.9b	(*.f64 y (-.f64 x 1/2))
✓	53.1b	(*.f64 y x)
✓	45.8b	(*.f64 -1/2 y)
✓	45.7b	(neg.f64 x)
	44.7b	918938533204673/1000000000000000

Compiler

Compiled 74 to 55 computations (25.7% saved)

regimes36.0ms (0.6%)

Counts

15 → 1

Calls

Call 1

Inputs
918938533204673/1000000000000000
(neg.f64 x)
(*.f64 -1/2 y)
(*.f64 y x)
(-.f64 918938533204673/1000000000000000 x)
(*.f64 y (-.f64 x 1/2))
(*.f64 (-.f64 y 1) x)
(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))
(-.f64 (*.f64 y x) x)
(+.f64 (.f64 y x) (.f64 y -1/2))
(+.f64 (-.f64 (.f64 y x) (.f64 y 1/2)) 918938533204673/1000000000000000)
(+.f64 (-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2)) 918938533204673/1000000000000000)
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(/.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x (+.f64 918938533204673/1000000000000000 x))))
(+.f64 (/.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (.f64 x (+.f64 918938533204673/1000000000000000 x)))) (.f64 y (+.f64 x -1/2)))

Outputs
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))

Calls

4 calls:

9.0ms	(-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2))
9.0ms	x
8.0ms	y
7.0ms	(+.f64 (-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2)) 918938533204673/1000000000000000)

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`y`
0.0b	1	`(+.f64 (-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2)) 918938533204673/1000000000000000)`
0.0b	1	`(-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2))`

Compiler

Compiled 131 to 87 computations (33.6% saved)

regimes32.0ms (0.5%)

Counts

12 → 1

Calls

Call 1

Inputs
918938533204673/1000000000000000
(neg.f64 x)
(*.f64 -1/2 y)
(*.f64 y x)
(-.f64 918938533204673/1000000000000000 x)
(*.f64 y (-.f64 x 1/2))
(*.f64 (-.f64 y 1) x)
(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))
(-.f64 (*.f64 y x) x)
(+.f64 (.f64 y x) (.f64 y -1/2))
(+.f64 (-.f64 (.f64 y x) (.f64 y 1/2)) 918938533204673/1000000000000000)
(+.f64 (-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2)) 918938533204673/1000000000000000)

Outputs
(+.f64 (-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2)) 918938533204673/1000000000000000)

Calls

4 calls:

8.0ms	x
7.0ms	y
7.0ms	(-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2))
7.0ms	(+.f64 (-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2)) 918938533204673/1000000000000000)

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`y`
0.0b	1	`(+.f64 (-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2)) 918938533204673/1000000000000000)`
0.0b	1	`(-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2))`

Compiler

Compiled 91 to 58 computations (36.3% saved)

regimes40.0ms (0.7%)

Counts

11 → 3

Calls

Call 1

Inputs
918938533204673/1000000000000000
(neg.f64 x)
(*.f64 -1/2 y)
(*.f64 y x)
(-.f64 918938533204673/1000000000000000 x)
(*.f64 y (-.f64 x 1/2))
(*.f64 (-.f64 y 1) x)
(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))
(-.f64 (*.f64 y x) x)
(+.f64 (.f64 y x) (.f64 y -1/2))
(+.f64 (-.f64 (.f64 y x) (.f64 y 1/2)) 918938533204673/1000000000000000)

Outputs
(-.f64 (*.f64 y x) x)
(+.f64 (-.f64 (.f64 y x) (.f64 y 1/2)) 918938533204673/1000000000000000)
(*.f64 (-.f64 y 1) x)

Calls

2 calls:

19.0ms	x
19.0ms	y

Results

Error	Segments	Branch
0.9b	3	`x`
1.5b	3	`y`

Compiler

Compiled 56 to 32 computations (42.9% saved)

bsearch32.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
16.0ms	325232.28583581524	939087597069.1794
16.0ms	-71353.25357978539	-0.0002421052026802429

Results

28.0ms

288×

body

256

valid

Compiler

Compiled 378 to 275 computations (27.2% saved)

regimes37.0ms (0.6%)

Counts

10 → 3

Calls

Call 1

Inputs
918938533204673/1000000000000000
(neg.f64 x)
(*.f64 -1/2 y)
(*.f64 y x)
(-.f64 918938533204673/1000000000000000 x)
(*.f64 y (-.f64 x 1/2))
(*.f64 (-.f64 y 1) x)
(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))
(-.f64 (*.f64 y x) x)
(+.f64 (.f64 y x) (.f64 y -1/2))

Outputs
(-.f64 (*.f64 y x) x)
(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))
(*.f64 (-.f64 y 1) x)

Calls

2 calls:

18.0ms	x
17.0ms	y

Results

Error	Segments	Branch
1.8b	3	`x`
1.8b	3	`y`

Compiler

Compiled 47 to 27 computations (42.6% saved)

bsearch30.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
14.0ms	0.11667142194158359	3531.6981391654253
16.0ms	-71353.25357978539	-0.0002421052026802429

Results

26.0ms

272×

body

256

valid

Compiler

Compiled 290 to 226 computations (22.1% saved)

regimes32.0ms (0.5%)

Counts

8 → 3

Calls

Call 1

Inputs
918938533204673/1000000000000000
(neg.f64 x)
(*.f64 -1/2 y)
(*.f64 y x)
(-.f64 918938533204673/1000000000000000 x)
(*.f64 y (-.f64 x 1/2))
(*.f64 (-.f64 y 1) x)
(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))

Outputs
(*.f64 (-.f64 y 1) x)
(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))
(*.f64 (-.f64 y 1) x)

Calls

2 calls:

15.0ms	y
15.0ms	x

Results

Error	Segments	Branch
1.8b	3	`x`
1.8b	3	`y`

Compiler

Compiled 35 to 23 computations (34.3% saved)

bsearch31.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
14.0ms	0.11667142194158359	3531.6981391654253
17.0ms	-71353.25357978539	-0.0002421052026802429

Results

27.0ms

272×

body

256

valid

Compiler

Compiled 290 to 235 computations (19% saved)

regimes43.0ms (0.7%)

Counts

7 → 3

Calls

Call 1

Inputs
918938533204673/1000000000000000
(neg.f64 x)
(*.f64 -1/2 y)
(*.f64 y x)
(-.f64 918938533204673/1000000000000000 x)
(*.f64 y (-.f64 x 1/2))
(*.f64 (-.f64 y 1) x)

Outputs
(*.f64 y (-.f64 x 1/2))
(-.f64 918938533204673/1000000000000000 x)
(*.f64 y (-.f64 x 1/2))

Calls

2 calls:

27.0ms	x
15.0ms	y

Results

Error	Segments	Branch
14.0b	6	`x`
1.8b	3	`y`

Compiler

Compiled 30 to 19 computations (36.7% saved)

bsearch33.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
15.0ms	0.0005752470870673574	405.3667532456874
17.0ms	-3.6606948994137345	-1.9755286430465564e-11

Results

29.0ms

304×

body

256

valid

Compiler

Compiled 284 to 223 computations (21.5% saved)

regimes56.0ms (0.9%)

Counts

5 → 6

Calls

Call 1

Inputs
918938533204673/1000000000000000
(neg.f64 x)
(*.f64 -1/2 y)
(*.f64 y x)
(-.f64 918938533204673/1000000000000000 x)

Outputs
(*.f64 -1/2 y)
(*.f64 y x)
(-.f64 918938533204673/1000000000000000 x)
(*.f64 -1/2 y)
(*.f64 y x)
(*.f64 -1/2 y)

Calls

2 calls:

28.0ms	x
27.0ms	y

Results

Error	Segments	Branch
22.7b	7	`x`
7.9b	6	`y`

Compiler

Compiled 20 to 13 computations (35% saved)

bsearch65.0ms (1.1%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
16.0ms	2.1885878355816225e+141	4.8606558679676464e+145
8.0ms	2.306644325832123e+72	3.628782591675375e+72
15.0ms	0.0005752470870673574	405.3667532456874
15.0ms	-3612620344.480906	-3.6606948994137345
11.0ms	-2.0547982672142887e+33	-3.0756073363928723e+32

Results

56.0ms	576×	body	256	valid
2.0ms	24×	body	256	infinite

Compiler

Compiled 450 to 347 computations (22.9% saved)

regimes53.0ms (0.9%)

Counts

4 → 8

Calls

Call 1

Inputs
918938533204673/1000000000000000
(neg.f64 x)
(*.f64 -1/2 y)
(*.f64 y x)

Outputs
(*.f64 -1/2 y)
(*.f64 y x)
(neg.f64 x)
918938533204673/1000000000000000
(neg.f64 x)
(*.f64 -1/2 y)
(*.f64 y x)
(*.f64 -1/2 y)

Calls

2 calls:

28.0ms	y
24.0ms	x

Results

Error	Segments	Branch
23.5b	7	`x`
19.3b	8	`y`

Compiler

Compiled 17 to 11 computations (35.3% saved)

bsearch97.0ms (1.6%)

Algorithm

7×	binary-search

Steps

Time	Left	Right
17.0ms	2.1885878355816225e+141	4.8606558679676464e+145
7.0ms	2.306644325832123e+72	3.628782591675375e+72
15.0ms	0.0005752470870673574	405.3667532456874
17.0ms	5.250771790856837e-277	1.5536144514900726e-260
14.0ms	-2.352151934201939e-53	-2.335878157811233e-56
16.0ms	-3612620344.480906	-3.6606948994137345
10.0ms	-2.0547982672142887e+33	-3.0756073363928723e+32

Results

82.0ms	864×	body	256	valid
4.0ms	41×	body	256	infinite

Compiler

Compiled 594 to 473 computations (20.4% saved)

regimes35.0ms (0.6%)

Counts

3 → 5

Calls

Call 1

Inputs
918938533204673/1000000000000000
(neg.f64 x)
(*.f64 -1/2 y)

Outputs
(*.f64 -1/2 y)
(neg.f64 x)
918938533204673/1000000000000000
(neg.f64 x)
(*.f64 -1/2 y)

Calls

2 calls:

19.0ms	x
16.0ms	y

Results

Error	Segments	Branch
24.7b	6	`x`
22.9b	5	`y`

Compiler

Compiled 14 to 10 computations (28.6% saved)

bsearch63.0ms (1.1%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
15.0ms	0.0005752470870673574	405.3667532456874
17.0ms	5.250771790856837e-277	1.5536144514900726e-260
13.0ms	-2.352151934201939e-53	-2.335878157811233e-56
17.0ms	-1.8905277411035365e+20	-331021731799.16565

Results

55.0ms	576×	body	256	valid
0.0ms	5×	body	256	infinite

Compiler

Compiled 378 to 320 computations (15.3% saved)

regimes21.0ms (0.4%)

Accuracy

Total -33.8b remaining (-118.8%)

Threshold costs -33.8b (-118.8%)

Counts

2 → 3

Calls

Call 1

Inputs
918938533204673/1000000000000000
(neg.f64 x)

Outputs
(neg.f64 x)
918938533204673/1000000000000000
(neg.f64 x)

Calls

2 calls:

11.0ms	y
9.0ms	x

Results

Error	Segments	Branch
28.4b	3	`x`
39.2b	3	`y`

Compiler

Compiled 11 to 8 computations (27.3% saved)

bsearch27.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
15.0ms	0.11667142194158359	3531.6981391654253
12.0ms	-0.0002421052026802429	-3.3178558160892043e-6

Results

24.0ms

240×

body

256

valid

Compiler

Compiled 153 to 134 computations (12.4% saved)

simplify18.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

30×	`+-commutative`
18×	`sub-neg`
18×	`*-commutative`
12×	`cancel-sign-sub-inv`
10×	`if-if-or-not`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	102	561
1	145	561
2	165	561
3	170	561
4	172	561

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(+.f64 (-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2)) 918938533204673/1000000000000000)
(if (<=.f64 x -70000) (-.f64 (.f64 y x) x) (if (<=.f64 x 1200000) (+.f64 (-.f64 (.f64 y x) (.f64 y 1/2)) 918938533204673/1000000000000000) (.f64 (-.f64 y 1) x)))
(if (<=.f64 x -3242591731706757/4503599627370496) (-.f64 (.f64 y x) x) (if (<=.f64 x 8106479329266893/9007199254740992) (-.f64 918938533204673/1000000000000000 (.f64 1/2 y)) (*.f64 (-.f64 y 1) x)))
(if (<=.f64 x -3242591731706757/4503599627370496) (.f64 (-.f64 y 1) x) (if (<=.f64 x 8286623314361713/9007199254740992) (-.f64 918938533204673/1000000000000000 (.f64 1/2 y)) (*.f64 (-.f64 y 1) x)))
(if (<=.f64 y -3422735716801577/2251799813685248) (.f64 y (-.f64 x 1/2)) (if (<=.f64 y 3715469692580659/2251799813685248) (-.f64 918938533204673/1000000000000000 x) (.f64 y (-.f64 x 1/2))))
(if (<=.f64 y -319999999999999988348681438887936) (.f64 -1/2 y) (if (<=.f64 y -31) (.f64 y x) (if (<=.f64 y 4165829655317709/2251799813685248) (-.f64 918938533204673/1000000000000000 x) (if (<=.f64 y 3200000000000000134020881805476665468772588373249082506058968677782388736) (.f64 -1/2 y) (if (<=.f64 y 2200000000000000003501616722064983082772235610582957587973002509483996609573858881658600605804620342085011024795119734123540628792836018405376) (.f64 y x) (*.f64 -1/2 y))))))
(if (<=.f64 y -309999999999999993216384771293184) (.f64 -1/2 y) (if (<=.f64 y -4165829655317709/1125899906842624) (.f64 y x) (if (<=.f64 y -4011640064072015/215679573337205118357336120696157045389097155380324579848828881993728) (neg.f64 x) (if (<=.f64 y 1905611964003583/4431655730240890570873208338468970537576854829965217289494788227426828912378562609985972388077248187630768787235596695692701891796424703919264169279046042638370307804487526041098494559032612254828927504367683640736543383320802092814913686932172352322971955256027412154745356288) 918938533204673/1000000000000000 (if (<=.f64 y 1) (neg.f64 x) (if (<=.f64 y 3600000000000000346932921261995022522237581395144793322514947402006265856) (.f64 -1/2 y) (if (<=.f64 y 2200000000000000003501616722064983082772235610582957587973002509483996609573858881658600605804620342085011024795119734123540628792836018405376) (.f64 y x) (*.f64 -1/2 y))))))))
(if (<=.f64 y -340000000000) (.f64 -1/2 y) (if (<=.f64 y -2480315093377859/107839786668602559178668060348078522694548577690162289924414440996864) (neg.f64 x) (if (<=.f64 y 5652282126611999/9745314011399999080353382387875188310876226857595007526867906457212948690766426102465615065882010259225304916231408668183459169865203094046577987296312653419531277699956473029870789655490053648352799593479218378873685597925394874945746363615468965612827738803104277547081828589991914110976) 918938533204673/1000000000000000 (if (<=.f64 y 6124895493223875/4503599627370496) (neg.f64 x) (.f64 -1/2 y)))))
(if (<=.f64 x -8854437155380585/36893488147419103232) (neg.f64 x) (if (<=.f64 x 8286623314361713/9007199254740992) 918938533204673/1000000000000000 (neg.f64 x)))
918938533204673/1000000000000000

Outputs
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(+.f64 (-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2)) 918938533204673/1000000000000000)
(+.f64 918938533204673/1000000000000000 (-.f64 (.f64 x (+.f64 y -1)) (.f64 y 1/2)))
(+.f64 918938533204673/1000000000000000 (+.f64 (.f64 x (+.f64 y -1)) (.f64 y -1/2)))
(if (<=.f64 x -70000) (-.f64 (.f64 y x) x) (if (<=.f64 x 1200000) (+.f64 (-.f64 (.f64 y x) (.f64 y 1/2)) 918938533204673/1000000000000000) (.f64 (-.f64 y 1) x)))
(if (<=.f64 x -70000) (-.f64 (.f64 y x) x) (if (<=.f64 x 1200000) (+.f64 918938533204673/1000000000000000 (-.f64 (.f64 y x) (.f64 y 1/2))) (.f64 x (+.f64 y -1))))
(if (<=.f64 x -70000) (-.f64 (.f64 y x) x) (if (<=.f64 x 1200000) (+.f64 918938533204673/1000000000000000 (+.f64 (.f64 y x) (.f64 y -1/2))) (.f64 x (+.f64 y -1))))
(if (<=.f64 x -3242591731706757/4503599627370496) (-.f64 (.f64 y x) x) (if (<=.f64 x 8106479329266893/9007199254740992) (-.f64 918938533204673/1000000000000000 (.f64 1/2 y)) (*.f64 (-.f64 y 1) x)))
(if (<=.f64 x -3242591731706757/4503599627370496) (-.f64 (.f64 y x) x) (if (<=.f64 x 8106479329266893/9007199254740992) (+.f64 918938533204673/1000000000000000 (.f64 y -1/2)) (*.f64 x (+.f64 y -1))))
(if (<=.f64 x -3242591731706757/4503599627370496) (.f64 (-.f64 y 1) x) (if (<=.f64 x 8286623314361713/9007199254740992) (-.f64 918938533204673/1000000000000000 (.f64 1/2 y)) (*.f64 (-.f64 y 1) x)))
(if (or (<=.f64 x -3242591731706757/4503599627370496) (not (<=.f64 x 8286623314361713/9007199254740992))) (.f64 x (+.f64 y -1)) (+.f64 918938533204673/1000000000000000 (.f64 y -1/2)))
(if (<=.f64 y -3422735716801577/2251799813685248) (.f64 y (-.f64 x 1/2)) (if (<=.f64 y 3715469692580659/2251799813685248) (-.f64 918938533204673/1000000000000000 x) (.f64 y (-.f64 x 1/2))))
(if (or (<=.f64 y -3422735716801577/2251799813685248) (not (<=.f64 y 3715469692580659/2251799813685248))) (*.f64 y (+.f64 x -1/2)) (-.f64 918938533204673/1000000000000000 x))
(if (<=.f64 y -319999999999999988348681438887936) (.f64 -1/2 y) (if (<=.f64 y -31) (.f64 y x) (if (<=.f64 y 4165829655317709/2251799813685248) (-.f64 918938533204673/1000000000000000 x) (if (<=.f64 y 3200000000000000134020881805476665468772588373249082506058968677782388736) (.f64 -1/2 y) (if (<=.f64 y 2200000000000000003501616722064983082772235610582957587973002509483996609573858881658600605804620342085011024795119734123540628792836018405376) (.f64 y x) (*.f64 -1/2 y))))))
(if (<=.f64 y -319999999999999988348681438887936) (.f64 y -1/2) (if (<=.f64 y -31) (.f64 y x) (if (<=.f64 y 4165829655317709/2251799813685248) (-.f64 918938533204673/1000000000000000 x) (if (<=.f64 y 3200000000000000134020881805476665468772588373249082506058968677782388736) (.f64 y -1/2) (if (<=.f64 y 2200000000000000003501616722064983082772235610582957587973002509483996609573858881658600605804620342085011024795119734123540628792836018405376) (.f64 y x) (*.f64 y -1/2))))))
(if (<=.f64 y -309999999999999993216384771293184) (.f64 -1/2 y) (if (<=.f64 y -4165829655317709/1125899906842624) (.f64 y x) (if (<=.f64 y -4011640064072015/215679573337205118357336120696157045389097155380324579848828881993728) (neg.f64 x) (if (<=.f64 y 1905611964003583/4431655730240890570873208338468970537576854829965217289494788227426828912378562609985972388077248187630768787235596695692701891796424703919264169279046042638370307804487526041098494559032612254828927504367683640736543383320802092814913686932172352322971955256027412154745356288) 918938533204673/1000000000000000 (if (<=.f64 y 1) (neg.f64 x) (if (<=.f64 y 3600000000000000346932921261995022522237581395144793322514947402006265856) (.f64 -1/2 y) (if (<=.f64 y 2200000000000000003501616722064983082772235610582957587973002509483996609573858881658600605804620342085011024795119734123540628792836018405376) (.f64 y x) (*.f64 -1/2 y))))))))
(if (<=.f64 y -309999999999999993216384771293184) (.f64 y -1/2) (if (<=.f64 y -4165829655317709/1125899906842624) (.f64 y x) (if (<=.f64 y -4011640064072015/215679573337205118357336120696157045389097155380324579848828881993728) (neg.f64 x) (if (<=.f64 y 1905611964003583/4431655730240890570873208338468970537576854829965217289494788227426828912378562609985972388077248187630768787235596695692701891796424703919264169279046042638370307804487526041098494559032612254828927504367683640736543383320802092814913686932172352322971955256027412154745356288) 918938533204673/1000000000000000 (if (<=.f64 y 1) (neg.f64 x) (if (<=.f64 y 3600000000000000346932921261995022522237581395144793322514947402006265856) (.f64 y -1/2) (if (<=.f64 y 2200000000000000003501616722064983082772235610582957587973002509483996609573858881658600605804620342085011024795119734123540628792836018405376) (.f64 y x) (*.f64 y -1/2))))))))
(if (<=.f64 y -340000000000) (.f64 -1/2 y) (if (<=.f64 y -2480315093377859/107839786668602559178668060348078522694548577690162289924414440996864) (neg.f64 x) (if (<=.f64 y 5652282126611999/9745314011399999080353382387875188310876226857595007526867906457212948690766426102465615065882010259225304916231408668183459169865203094046577987296312653419531277699956473029870789655490053648352799593479218378873685597925394874945746363615468965612827738803104277547081828589991914110976) 918938533204673/1000000000000000 (if (<=.f64 y 6124895493223875/4503599627370496) (neg.f64 x) (.f64 -1/2 y)))))
(if (<=.f64 y -340000000000) (.f64 y -1/2) (if (<=.f64 y -2480315093377859/107839786668602559178668060348078522694548577690162289924414440996864) (neg.f64 x) (if (<=.f64 y 5652282126611999/9745314011399999080353382387875188310876226857595007526867906457212948690766426102465615065882010259225304916231408668183459169865203094046577987296312653419531277699956473029870789655490053648352799593479218378873685597925394874945746363615468965612827738803104277547081828589991914110976) 918938533204673/1000000000000000 (if (<=.f64 y 6124895493223875/4503599627370496) (neg.f64 x) (.f64 y -1/2)))))
(if (<=.f64 x -8854437155380585/36893488147419103232) (neg.f64 x) (if (<=.f64 x 8286623314361713/9007199254740992) 918938533204673/1000000000000000 (neg.f64 x)))
918938533204673/1000000000000000

Compiler

Compiled 254 to 173 computations (31.9% saved)

soundness232.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

1392×	`fma-def`
764×	`associate-+l+`
706×	`associate-+l-`
678×	`associate--r+`
540×	`associate-+r+`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	12	31
1	30	27
2	66	23
3	126	23
4	263	21
5	614	21
6	1497	21
7	2817	21
8	3922	21
9	4054	21
10	4081	21

Stop Event

1×

saturated

Compiler

Compiled 222 to 160 computations (27.9% saved)

end102.0ms (1.7%)

Compiler: Compiled 234 to 147 computations (37.2% saved)

Details

analyze66.0ms (1.1%)

sample1.0s (17.3%)

preprocess148.0ms (2.5%)

simplify80.0ms (1.4%)

eval1.0ms (0%)

prune2.0ms (0%)

localize14.0ms (0.2%)

series125.0ms (2.1%)

rewrite314.0ms (5.3%)

simplify182.0ms (3.1%)

localize9.0ms (0.2%)

series2.0ms (0%)

rewrite85.0ms (1.4%)

simplify116.0ms (2%)

eval435.0ms (7.4%)

prune204.0ms (3.5%)

localize33.0ms (0.6%)

series3.0ms (0.1%)

rewrite190.0ms (3.2%)

simplify232.0ms (3.9%)

localize3.0ms (0.1%)

localize7.0ms (0.1%)

series2.0ms (0%)

rewrite53.0ms (0.9%)

simplify75.0ms (1.3%)

localize5.0ms (0.1%)

series1.0ms (0%)

rewrite50.0ms (0.8%)

simplify57.0ms (1%)

localize5.0ms (0.1%)

eval550.0ms (9.3%)

prune113.0ms (1.9%)

localize4.0ms (0.1%)

series1.0ms (0%)

rewrite54.0ms (0.9%)

simplify66.0ms (1.1%)

localize3.0ms (0.1%)

localize3.0ms (0%)

localize3.0ms (0%)

localize7.0ms (0.1%)

series1.0ms (0%)

rewrite57.0ms (1%)

simplify64.0ms (1.1%)

eval23.0ms (0.4%)

prune17.0ms (0.3%)

localize20.0ms (0.3%)

eval217.0ms (3.7%)

prune71.0ms (1.2%)

regimes36.0ms (0.6%)

regimes32.0ms (0.5%)

regimes40.0ms (0.7%)

bsearch32.0ms (0.5%)

regimes37.0ms (0.6%)

bsearch30.0ms (0.5%)

regimes32.0ms (0.5%)

bsearch31.0ms (0.5%)

regimes43.0ms (0.7%)

bsearch33.0ms (0.6%)

regimes56.0ms (0.9%)

bsearch65.0ms (1.1%)

regimes53.0ms (0.9%)

bsearch97.0ms (1.6%)

regimes35.0ms (0.6%)

bsearch63.0ms (1.1%)

regimes21.0ms (0.4%)

bsearch27.0ms (0.5%)

simplify18.0ms (0.3%)

soundness232.0ms (3.9%)

end102.0ms (1.7%)

Profiling