Details

analyze95.0ms (1.8%)

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)

sample907.0ms (16.9%)

Results

871.0ms	8256×	body	256	valid
24.0ms	269×	body	256	infinite

Bogosity

preprocess143.0ms (2.7%)

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)

simplify76.0ms (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 (0.3%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 38 to 26 computations (31.6% saved)

series3.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite157.0ms (2.9%)

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	56
1	278	48
2	3725	48

Stop Event

1×	node limit

Counts

2 → 274

Calls

Call 1

Inputs
(+.f64 (-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2)) 918938533204673/1000000000000000)
(-.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 (-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2)) -918938533204673/1000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 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(*.f64 y 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (*.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 (-.f64 (*.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 (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2))) (sqrt.f64 (-.f64 (*.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 (-.f64 (*.f64 x (-.f64 y 1)) (*.f64 y 1/2))) 2) (cbrt.f64 (-.f64 (*.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))))))

simplify272.0ms (5.1%)

Algorithm

1×	egg-herbie

Rules

1632×	`+-commutative`
1150×	`associate-+r-`
1090×	`fma-def`
568×	`associate-+r+`
496×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	679	18892
1	1857	16028
2	6937	15920

Stop Event

1×	node limit

Counts

322 → 419

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

localize8.0ms (0.1%)

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	x	@	0	(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
0.0ms	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	@	inf	(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))

rewrite127.0ms (2.4%)

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)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (.f64 x x)) (/.f64 1 (+.f64 918938533204673/1000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) (/.f64 1 (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (.f64 x (+.f64 918938533204673/1000000000000000 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 918938533204673/1000000000000000 x)) (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (.f64 x (+.f64 918938533204673/1000000000000000 x)))) (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) 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Outputs

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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))))))))

simplify159.0ms (3%)

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)

eval596.0ms (11.1%)

Compiler: Compiled 16003 to 11567 computations (27.7% saved)

prune125.0ms (2.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	620	5	625
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	621	6	627

Error

Counts

627 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	34.6b	(-.f64 (*.f64 y x) x)
▶	28.4b	(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))
▶	24.8b	(-.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)))
✓	0.0b	(+.f64 (-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2)) 918938533204673/1000000000000000)
▶	37.7b	(*.f64 y (-.f64 x 1/2))

Compiler

Compiled 107 to 80 computations (25.2% saved)

localize29.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 y (+.f64 x -1/2))
✓	0.0b	(*.f64 x (+.f64 918938533204673/1000000000000000 x))
✓	0.0b	(+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x (+.f64 918938533204673/1000000000000000 x)))
✓	16.3b	(/.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)

series5.0ms (0.1%)

Counts

4 → 60

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(*.f64 y (+.f64 x -1/2))
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))))
1.0ms	x	@	inf	(/.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x (+.f64 918938533204673/1000000000000000 x))))
0.0ms	y	@	inf	(*.f64 y (+.f64 x -1/2))

rewrite152.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1516×	`associate-/l*`
1280×	`associate-/r/`
396×	`add-sqr-sqrt`
378×	`*-un-lft-identity`
376×	`add-cbrt-cube`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	82
1	403	48
2	5353	48

Stop Event

1×	node limit

Counts

4 → 189

Calls

Call 1

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

Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x x) (.f64 x 918938533204673/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x 918938533204673/1000000000000000) (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 x x) 1) (.f64 (.f64 x 918938533204673/1000000000000000) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 x 918938533204673/1000000000000000) 1) (.f64 (.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x (+.f64 918938533204673/1000000000000000 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 1 (+.f64 918938533204673/1000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (.f64 x x)) (/.f64 (-.f64 918938533204673/1000000000000000 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) (/.f64 (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (.f64 x (-.f64 x 918938533204673/1000000000000000))) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (.f64 x x))) (-.f64 918938533204673/1000000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3))) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (.f64 x (-.f64 x 918938533204673/1000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (.f64 x x)) x) (-.f64 918938533204673/1000000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) x) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (.f64 x (-.f64 x 918938533204673/1000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 x 918938533204673/1000000000000000) (.f64 x 918938533204673/1000000000000000)) (.f64 (.f64 x x) (.f64 x x))) (-.f64 (.f64 x 918938533204673/1000000000000000) (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 6) (pow.f64 (.f64 x 918938533204673/1000000000000000) 3)) (+.f64 (.f64 (.f64 x 918938533204673/1000000000000000) (.f64 x 918938533204673/1000000000000000)) (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x 918938533204673/1000000000000000) (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (+.f64 918938533204673/1000000000000000 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 x (+.f64 918938533204673/1000000000000000 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x (+.f64 918938533204673/1000000000000000 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x (+.f64 918938533204673/1000000000000000 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 x (+.f64 918938533204673/1000000000000000 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 918938533204673/1000000000000000 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 x (+.f64 918938533204673/1000000000000000 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 x (+.f64 918938533204673/1000000000000000 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x (+.f64 918938533204673/1000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 x (+.f64 918938533204673/1000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 x (+.f64 918938533204673/1000000000000000 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 x (+.f64 918938533204673/1000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 918938533204673/1000000000000000 (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 918938533204673/1000000000000000 x (*.f64 x x))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x y) (.f64 y -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 y -1/2) (.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 x y) 1) (.f64 (.f64 y -1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 y -1/2) 1) (.f64 (.f64 x y) 1))))) (#(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 y (/.f64 1 (+.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x x -1/4) (/.f64 (+.f64 x 1/2) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) -1/8) (/.f64 (fma.f64 x x (-.f64 1/4 (.f64 x -1/2))) y))))) (#(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 /.f64 (-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 (.f64 y -1/2) (.f64 y -1/2))) (-.f64 (.f64 x y) (.f64 y -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 y -1/2) 3)) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (-.f64 (.f64 (.f64 y -1/2) (.f64 y -1/2)) (.f64 (.f64 x y) (.f64 y -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 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 cbrt.f64 (.f64 (pow.f64 y 3) (pow.f64 (+.f64 x -1/2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (+.f64 x -1/2) 3) (pow.f64 y 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 x y (.f64 y -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y x (*.f64 y -1/2))))))

simplify150.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

994×	`associate-r`
858×	`associate-l`
660×	`distribute-lft-in`
620×	`*-commutative`
592×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	510	8625
1	1532	8071

Stop Event

1×	node limit

Counts

249 → 297

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))
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)))
(*.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))
(*.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 -1/2 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 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 (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (.f64 x (+.f64 918938533204673/1000000000000000 x)))) (neg.f64 (/.f64 (pow.f64 x 3) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (.f64 x (+.f64 918938533204673/1000000000000000 x))))))
(+.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) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (.f64 x (+.f64 918938533204673/1000000000000000 x))))) (/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (.f64 x (+.f64 918938533204673/1000000000000000 x)))))
(+.f64 (-.f64 918938533204673/1000000000000000 (exp.f64 (log1p.f64 x))) 1)
(-.f64 918938533204673/1000000000000000 x)
(-.f64 (/.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 (exp.f64 (log.f64 (-.f64 1918938533204673/1000000000000000 x))) 1)
(.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) (/.f64 1 (+.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)))) 1)
(.f64 1 (/.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (.f64 x (+.f64 918938533204673/1000000000000000 x)))))
(.f64 (sqrt.f64 (/.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (.f64 x (+.f64 918938533204673/1000000000000000 x))))) (sqrt.f64 (/.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x (+.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 (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x (+.f64 918938533204673/1000000000000000 x))))))
(.f64 (cbrt.f64 (/.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (.f64 x (+.f64 918938533204673/1000000000000000 x))))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x (+.f64 918938533204673/1000000000000000 x))))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (.f64 x (+.f64 918938533204673/1000000000000000 x))))) 2) (cbrt.f64 (/.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x (+.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 (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 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 1 (-.f64 -844448027808355901771309036929/1000000000000000000000000000000 (.f64 x (+.f64 918938533204673/1000000000000000 x)))))
(.f64 (/.f64 1 (sqrt.f64 (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (.f64 x (+.f64 918938533204673/1000000000000000 x))))) (/.f64 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) (sqrt.f64 (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x (+.f64 918938533204673/1000000000000000 x))))))
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(/.f64 (.f64 (cbrt.f64 (+.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (.f64 x (+.f64 918938533204673/1000000000000000 x)) 3))) (cbrt.f64 (+.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (.f64 x (+.f64 918938533204673/1000000000000000 x)) 3)))) (/.f64 (+.f64 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 (.f64 (.f64 x (+.f64 918938533204673/1000000000000000 x)) (-.f64 (.f64 x (+.f64 918938533204673/1000000000000000 x)) 844448027808355901771309036929/1000000000000000000000000000000))) (cbrt.f64 (+.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (*.f64 x (+.f64 918938533204673/1000000000000000 x)) 3)))))
(/.f64 (neg.f64 (-.f64 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 (pow.f64 (.f64 x (+.f64 918938533204673/1000000000000000 x)) 2))) (neg.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (.f64 x (+.f64 918938533204673/1000000000000000 x)))))
(/.f64 (neg.f64 (+.f64 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (.f64 x (+.f64 918938533204673/1000000000000000 x)) 3))) (neg.f64 (+.f64 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 (.f64 (.f64 x (+.f64 918938533204673/1000000000000000 x)) (-.f64 (.f64 x (+.f64 918938533204673/1000000000000000 x)) 844448027808355901771309036929/1000000000000000000000000000000)))))
(/.f64 (-.f64 (pow.f64 (.f64 x (+.f64 918938533204673/1000000000000000 x)) 2) 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000) (-.f64 (.f64 x (+.f64 918938533204673/1000000000000000 x)) 844448027808355901771309036929/1000000000000000000000000000000))
(pow.f64 (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x (+.f64 918938533204673/1000000000000000 x))) 1)
(pow.f64 (sqrt.f64 (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x (+.f64 918938533204673/1000000000000000 x)))) 2)
(pow.f64 (cbrt.f64 (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x (+.f64 918938533204673/1000000000000000 x)))) 3)
(pow.f64 (pow.f64 (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x (+.f64 918938533204673/1000000000000000 x))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x (+.f64 918938533204673/1000000000000000 x))) 2))
(log.f64 (exp.f64 (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x (+.f64 918938533204673/1000000000000000 x)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x (+.f64 918938533204673/1000000000000000 x))))))
(cbrt.f64 (pow.f64 (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x (+.f64 918938533204673/1000000000000000 x))) 3))
(expm1.f64 (log1p.f64 (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x (+.f64 918938533204673/1000000000000000 x)))))
(exp.f64 (log.f64 (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x (+.f64 918938533204673/1000000000000000 x)))))
(exp.f64 (.f64 (log.f64 (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (.f64 x (+.f64 918938533204673/1000000000000000 x)))) 1))
(log1p.f64 (expm1.f64 (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x (+.f64 918938533204673/1000000000000000 x)))))
(fma.f64 x (+.f64 918938533204673/1000000000000000 x) 844448027808355901771309036929/1000000000000000000000000000000)
(fma.f64 (+.f64 918938533204673/1000000000000000 x) x 844448027808355901771309036929/1000000000000000000000000000000)
(fma.f64 1 (*.f64 x (+.f64 918938533204673/1000000000000000 x)) 844448027808355901771309036929/1000000000000000000000000000000)
(fma.f64 (sqrt.f64 (.f64 x (+.f64 918938533204673/1000000000000000 x))) (sqrt.f64 (.f64 x (+.f64 918938533204673/1000000000000000 x))) 844448027808355901771309036929/1000000000000000000000000000000)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 918938533204673/1000000000000000 x))) 2) (cbrt.f64 (.f64 x (+.f64 918938533204673/1000000000000000 x))) 844448027808355901771309036929/1000000000000000000000000000000)
(+.f64 (.f64 x x) (.f64 x 918938533204673/1000000000000000))
(+.f64 (.f64 x 918938533204673/1000000000000000) (.f64 x x))
(+.f64 (.f64 (.f64 x x) 1) (.f64 (.f64 x 918938533204673/1000000000000000) 1))
(+.f64 (.f64 (.f64 x 918938533204673/1000000000000000) 1) (.f64 (.f64 x x) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 918938533204673/1000000000000000 x)))) 1)
(/.f64 x (/.f64 1 (+.f64 918938533204673/1000000000000000 x)))
(/.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x x)) (/.f64 (-.f64 918938533204673/1000000000000000 x) x))
(/.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) (/.f64 (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x (-.f64 x 918938533204673/1000000000000000))) x))
(/.f64 (.f64 x (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (.f64 x x))) (-.f64 918938533204673/1000000000000000 x))
(/.f64 (.f64 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)) x) (-.f64 918938533204673/1000000000000000 x))
(/.f64 (.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) x) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (.f64 x (-.f64 x 918938533204673/1000000000000000))))
(/.f64 (-.f64 (.f64 (.f64 x 918938533204673/1000000000000000) (.f64 x 918938533204673/1000000000000000)) (.f64 (.f64 x x) (.f64 x x))) (-.f64 (.f64 x 918938533204673/1000000000000000) (.f64 x x)))
(/.f64 (+.f64 (pow.f64 x 6) (pow.f64 (.f64 x 918938533204673/1000000000000000) 3)) (+.f64 (.f64 (.f64 x 918938533204673/1000000000000000) (.f64 x 918938533204673/1000000000000000)) (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x 918938533204673/1000000000000000) (.f64 x x)))))
(pow.f64 (*.f64 x (+.f64 918938533204673/1000000000000000 x)) 1)
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 918938533204673/1000000000000000 x))) 2)
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 918938533204673/1000000000000000 x))) 3)
(pow.f64 (pow.f64 (*.f64 x (+.f64 918938533204673/1000000000000000 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 918938533204673/1000000000000000 x)) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 918938533204673/1000000000000000 x)) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 918938533204673/1000000000000000 x)))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 918938533204673/1000000000000000 x)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 918938533204673/1000000000000000 x))))
(exp.f64 (log.f64 (*.f64 x (+.f64 918938533204673/1000000000000000 x))))
(exp.f64 (.f64 (log.f64 (.f64 x (+.f64 918938533204673/1000000000000000 x))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 918938533204673/1000000000000000 x))))
(fma.f64 x 918938533204673/1000000000000000 (*.f64 x x))
(fma.f64 918938533204673/1000000000000000 x (*.f64 x x))
(+.f64 (.f64 x y) (.f64 y -1/2))
(+.f64 (.f64 y -1/2) (.f64 x y))
(+.f64 (.f64 (.f64 x y) 1) (.f64 (.f64 y -1/2) 1))
(+.f64 (.f64 (.f64 y -1/2) 1) (.f64 (.f64 x y) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (+.f64 x -1/2)))) 1)
(/.f64 y (/.f64 1 (+.f64 x -1/2)))
(/.f64 (fma.f64 x x -1/4) (/.f64 (+.f64 x 1/2) y))
(/.f64 (+.f64 (pow.f64 x 3) -1/8) (/.f64 (fma.f64 x x (-.f64 1/4 (*.f64 x -1/2))) y))
(/.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))))
(/.f64 (-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 (.f64 y -1/2) (.f64 y -1/2))) (-.f64 (.f64 x y) (.f64 y -1/2)))
(/.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 y -1/2) 3)) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (-.f64 (.f64 (.f64 y -1/2) (.f64 y -1/2)) (.f64 (.f64 x y) (*.f64 y -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 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))
(cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (+.f64 x -1/2) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x -1/2) 3) (pow.f64 y 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 x y (*.f64 y -1/2))
(fma.f64 y x (*.f64 y -1/2))

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)
844448027808355901771309036929/1000000000000000000000000000000
(+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 918938533204673/1000000000000000 x))
(fma.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)
(+.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))
(*.f64 x (+.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))
(*.f64 x (+.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)
(*.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))
(*.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 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 -1/2 y)
(*.f64 y -1/2)
(+.f64 (.f64 -1/2 y) (.f64 y x))
(*.f64 y (+.f64 x -1/2))
(+.f64 (.f64 -1/2 y) (.f64 y x))
(*.f64 y (+.f64 x -1/2))
(+.f64 (.f64 -1/2 y) (.f64 y x))
(*.f64 y (+.f64 x -1/2))
(*.f64 y x)
(*.f64 x y)
(+.f64 (.f64 -1/2 y) (.f64 y x))
(*.f64 y (+.f64 x -1/2))
(+.f64 (.f64 -1/2 y) (.f64 y x))
(*.f64 y (+.f64 x -1/2))
(+.f64 (.f64 -1/2 y) (.f64 y x))
(*.f64 y (+.f64 x -1/2))
(*.f64 y x)
(*.f64 x y)
(+.f64 (.f64 -1/2 y) (.f64 y x))
(*.f64 y (+.f64 x -1/2))
(+.f64 (.f64 -1/2 y) (.f64 y x))
(*.f64 y (+.f64 x -1/2))
(+.f64 (.f64 -1/2 y) (.f64 y x))
(*.f64 y (+.f64 x -1/2))
(+.f64 918938533204673/1000000000000000 (neg.f64 x))
(-.f64 918938533204673/1000000000000000 x)
(+.f64 918938533204673/1000000000000000 (*.f64 -1 x))
(-.f64 918938533204673/1000000000000000 x)
(+.f64 918938533204673/1000000000000000 (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)))
(-.f64 918938533204673/1000000000000000 x)
(+.f64 918938533204673/1000000000000000 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)))
(-.f64 918938533204673/1000000000000000 x)
(+.f64 (/.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (.f64 x (+.f64 918938533204673/1000000000000000 x)))) (neg.f64 (/.f64 (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 (neg.f64 x) 918938533204673/1000000000000000)
(-.f64 918938533204673/1000000000000000 x)
(+.f64 (*.f64 -1 x) 918938533204673/1000000000000000)
(-.f64 918938533204673/1000000000000000 x)
(+.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)) 918938533204673/1000000000000000)
(-.f64 918938533204673/1000000000000000 x)
(+.f64 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) 918938533204673/1000000000000000)
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(fma.f64 x (+.f64 918938533204673/1000000000000000 x) 844448027808355901771309036929/1000000000000000000000000000000)
(fma.f64 (+.f64 918938533204673/1000000000000000 x) x 844448027808355901771309036929/1000000000000000000000000000000)
(fma.f64 x (+.f64 918938533204673/1000000000000000 x) 844448027808355901771309036929/1000000000000000000000000000000)
(fma.f64 1 (*.f64 x (+.f64 918938533204673/1000000000000000 x)) 844448027808355901771309036929/1000000000000000000000000000000)
(fma.f64 x (+.f64 918938533204673/1000000000000000 x) 844448027808355901771309036929/1000000000000000000000000000000)
(fma.f64 (sqrt.f64 (.f64 x (+.f64 918938533204673/1000000000000000 x))) (sqrt.f64 (.f64 x (+.f64 918938533204673/1000000000000000 x))) 844448027808355901771309036929/1000000000000000000000000000000)
(fma.f64 x (+.f64 918938533204673/1000000000000000 x) 844448027808355901771309036929/1000000000000000000000000000000)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 918938533204673/1000000000000000 x))) 2) (cbrt.f64 (.f64 x (+.f64 918938533204673/1000000000000000 x))) 844448027808355901771309036929/1000000000000000000000000000000)
(fma.f64 x (+.f64 918938533204673/1000000000000000 x) 844448027808355901771309036929/1000000000000000000000000000000)
(+.f64 (.f64 x x) (.f64 x 918938533204673/1000000000000000))
(*.f64 x (+.f64 918938533204673/1000000000000000 x))
(+.f64 (.f64 x 918938533204673/1000000000000000) (.f64 x x))
(*.f64 x (+.f64 918938533204673/1000000000000000 x))
(+.f64 (.f64 (.f64 x x) 1) (.f64 (.f64 x 918938533204673/1000000000000000) 1))
(*.f64 x (+.f64 918938533204673/1000000000000000 x))
(+.f64 (.f64 (.f64 x 918938533204673/1000000000000000) 1) (.f64 (.f64 x x) 1))
(*.f64 x (+.f64 918938533204673/1000000000000000 x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 918938533204673/1000000000000000 x)))) 1)
(*.f64 x (+.f64 918938533204673/1000000000000000 x))
(/.f64 x (/.f64 1 (+.f64 918938533204673/1000000000000000 x)))
(*.f64 x (+.f64 918938533204673/1000000000000000 x))
(/.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x x)) (/.f64 (-.f64 918938533204673/1000000000000000 x) x))
(.f64 (/.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (.f64 x x)) (-.f64 918938533204673/1000000000000000 x)) x)
(.f64 x (/.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (.f64 x x)) (-.f64 918938533204673/1000000000000000 x)))
(/.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) (/.f64 (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (*.f64 x (-.f64 x 918938533204673/1000000000000000))) x))
(.f64 (/.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (.f64 x (+.f64 x -918938533204673/1000000000000000)))) x)
(/.f64 (fma.f64 x 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 4)) (fma.f64 x (+.f64 x -918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000))
(/.f64 (.f64 x (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (.f64 x x))) (-.f64 918938533204673/1000000000000000 x))
(.f64 (/.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (.f64 x x)) (-.f64 918938533204673/1000000000000000 x)) x)
(.f64 x (/.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (.f64 x x)) (-.f64 918938533204673/1000000000000000 x)))
(/.f64 (.f64 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 844448027808355901771309036929/1000000000000000000000000000000 (.f64 x (+.f64 x -918938533204673/1000000000000000)))) x)
(/.f64 (fma.f64 x 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 4)) (fma.f64 x (+.f64 x -918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000))
(/.f64 (.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (.f64 x x)) x) (-.f64 918938533204673/1000000000000000 x))
(.f64 (/.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (.f64 x x)) (-.f64 918938533204673/1000000000000000 x)) x)
(.f64 x (/.f64 (-.f64 844448027808355901771309036929/1000000000000000000000000000000 (.f64 x x)) (-.f64 918938533204673/1000000000000000 x)))
(/.f64 (.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) x) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (.f64 x (-.f64 x 918938533204673/1000000000000000))))
(.f64 (/.f64 (+.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (.f64 x (+.f64 x -918938533204673/1000000000000000)))) x)
(/.f64 (fma.f64 x 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 4)) (fma.f64 x (+.f64 x -918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000))
(/.f64 (-.f64 (.f64 (.f64 x 918938533204673/1000000000000000) (.f64 x 918938533204673/1000000000000000)) (.f64 (.f64 x x) (.f64 x x))) (-.f64 (.f64 x 918938533204673/1000000000000000) (.f64 x x)))
(/.f64 (-.f64 (.f64 (.f64 x x) 844448027808355901771309036929/1000000000000000000000000000000) (.f64 x (pow.f64 x 3))) (.f64 x (-.f64 918938533204673/1000000000000000 x)))
(/.f64 (-.f64 (.f64 x (.f64 x 844448027808355901771309036929/1000000000000000000000000000000)) (pow.f64 x 4)) (*.f64 x (-.f64 918938533204673/1000000000000000 x)))
(/.f64 (+.f64 (pow.f64 x 6) (pow.f64 (.f64 x 918938533204673/1000000000000000) 3)) (+.f64 (.f64 (.f64 x 918938533204673/1000000000000000) (.f64 x 918938533204673/1000000000000000)) (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x 918938533204673/1000000000000000) (.f64 x x)))))
(/.f64 (+.f64 (pow.f64 x 6) (pow.f64 (.f64 918938533204673/1000000000000000 x) 3)) (+.f64 (.f64 (.f64 x x) 844448027808355901771309036929/1000000000000000000000000000000) (.f64 (.f64 x x) (-.f64 (.f64 x x) (*.f64 918938533204673/1000000000000000 x)))))
(/.f64 (fma.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3) (pow.f64 x 6)) (.f64 (.f64 x x) (fma.f64 x (+.f64 x -918938533204673/1000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)))
(pow.f64 (*.f64 x (+.f64 918938533204673/1000000000000000 x)) 1)
(*.f64 x (+.f64 918938533204673/1000000000000000 x))
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 918938533204673/1000000000000000 x))) 2)
(*.f64 x (+.f64 918938533204673/1000000000000000 x))
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 918938533204673/1000000000000000 x))) 3)
(*.f64 x (+.f64 918938533204673/1000000000000000 x))
(pow.f64 (pow.f64 (*.f64 x (+.f64 918938533204673/1000000000000000 x)) 3) 1/3)
(*.f64 x (+.f64 918938533204673/1000000000000000 x))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 918938533204673/1000000000000000 x)) 2))
(fabs.f64 (*.f64 x (+.f64 918938533204673/1000000000000000 x)))
(log.f64 (pow.f64 (exp.f64 (+.f64 918938533204673/1000000000000000 x)) x))
(*.f64 x (+.f64 918938533204673/1000000000000000 x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 918938533204673/1000000000000000 x)))))
(*.f64 x (+.f64 918938533204673/1000000000000000 x))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 918938533204673/1000000000000000 x)) 3))
(*.f64 x (+.f64 918938533204673/1000000000000000 x))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 918938533204673/1000000000000000 x))))
(*.f64 x (+.f64 918938533204673/1000000000000000 x))
(exp.f64 (log.f64 (*.f64 x (+.f64 918938533204673/1000000000000000 x))))
(*.f64 x (+.f64 918938533204673/1000000000000000 x))
(exp.f64 (.f64 (log.f64 (.f64 x (+.f64 918938533204673/1000000000000000 x))) 1))
(*.f64 x (+.f64 918938533204673/1000000000000000 x))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 918938533204673/1000000000000000 x))))
(*.f64 x (+.f64 918938533204673/1000000000000000 x))
(fma.f64 x 918938533204673/1000000000000000 (*.f64 x x))
(*.f64 x (+.f64 918938533204673/1000000000000000 x))
(fma.f64 918938533204673/1000000000000000 x (*.f64 x x))
(*.f64 x (+.f64 918938533204673/1000000000000000 x))
(+.f64 (.f64 x y) (.f64 y -1/2))
(*.f64 y (+.f64 x -1/2))
(+.f64 (.f64 y -1/2) (.f64 x y))
(*.f64 y (+.f64 x -1/2))
(+.f64 (.f64 (.f64 x y) 1) (.f64 (.f64 y -1/2) 1))
(*.f64 y (+.f64 x -1/2))
(+.f64 (.f64 (.f64 y -1/2) 1) (.f64 (.f64 x y) 1))
(*.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 1 (+.f64 x -1/2)))
(*.f64 y (+.f64 x -1/2))
(/.f64 (fma.f64 x x -1/4) (/.f64 (+.f64 x 1/2) y))
(*.f64 (/.f64 (fma.f64 x x -1/4) (+.f64 x 1/2)) y)
(*.f64 (/.f64 y (+.f64 x 1/2)) (fma.f64 x x -1/4))
(/.f64 (+.f64 (pow.f64 x 3) -1/8) (/.f64 (fma.f64 x x (-.f64 1/4 (*.f64 x -1/2))) y))
(.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/8) (fma.f64 x x (-.f64 1/4 (.f64 x -1/2)))) y)
(.f64 y (/.f64 (+.f64 (pow.f64 x 3) -1/8) (fma.f64 x x (+.f64 1/4 (.f64 x 1/2)))))
(/.f64 (*.f64 y (fma.f64 x x -1/4)) (+.f64 x 1/2))
(*.f64 (/.f64 (fma.f64 x x -1/4) (+.f64 x 1/2)) y)
(*.f64 (/.f64 y (+.f64 x 1/2)) (fma.f64 x x -1/4))
(/.f64 (.f64 y (+.f64 (pow.f64 x 3) -1/8)) (fma.f64 x x (-.f64 1/4 (.f64 x -1/2))))
(.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/8) (fma.f64 x x (-.f64 1/4 (.f64 x -1/2)))) y)
(.f64 y (/.f64 (+.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 (fma.f64 x x -1/4) (+.f64 x 1/2)) y)
(*.f64 (/.f64 y (+.f64 x 1/2)) (fma.f64 x x -1/4))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) -1/8) y) (fma.f64 x x (-.f64 1/4 (.f64 x -1/2))))
(.f64 (/.f64 (+.f64 (pow.f64 x 3) -1/8) (fma.f64 x x (-.f64 1/4 (.f64 x -1/2)))) y)
(.f64 y (/.f64 (+.f64 (pow.f64 x 3) -1/8) (fma.f64 x x (+.f64 1/4 (.f64 x 1/2)))))
(/.f64 (-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 (.f64 y -1/2) (.f64 y -1/2))) (-.f64 (.f64 x y) (.f64 y -1/2)))
(/.f64 (-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 (.f64 y y) 1/4)) (-.f64 (.f64 x y) (*.f64 y -1/2)))
(/.f64 (.f64 y (+.f64 x -1/2)) (/.f64 (.f64 y (-.f64 x -1/2)) (*.f64 y (-.f64 x -1/2))))
(/.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 y -1/2) 3)) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (-.f64 (.f64 (.f64 y -1/2) (.f64 y -1/2)) (.f64 (.f64 x y) (*.f64 y -1/2)))))
(/.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 y -1/2) 3)) (fma.f64 (.f64 x y) (.f64 x y) (.f64 (.f64 y -1/2) (-.f64 (.f64 y -1/2) (.f64 x y)))))
(/.f64 (fma.f64 (pow.f64 y 3) -1/8 (pow.f64 (.f64 x y) 3)) (fma.f64 (.f64 y -1/2) (.f64 y (-.f64 -1/2 x)) (.f64 x (.f64 y (.f64 x y)))))
(pow.f64 (*.f64 y (+.f64 x -1/2)) 1)
(*.f64 y (+.f64 x -1/2))
(pow.f64 (sqrt.f64 (*.f64 y (+.f64 x -1/2))) 2)
(*.f64 y (+.f64 x -1/2))
(pow.f64 (cbrt.f64 (*.f64 y (+.f64 x -1/2))) 3)
(*.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))
(sqrt.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 2))
(fabs.f64 (*.f64 y (+.f64 x -1/2)))
(log.f64 (pow.f64 (exp.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))
(cbrt.f64 (pow.f64 (*.f64 y (+.f64 x -1/2)) 3))
(*.f64 y (+.f64 x -1/2))
(cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (+.f64 x -1/2) 3)))
(*.f64 y (+.f64 x -1/2))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x -1/2) 3) (pow.f64 y 3)))
(*.f64 y (+.f64 x -1/2))
(expm1.f64 (log1p.f64 (*.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))
(exp.f64 (.f64 (log.f64 (.f64 y (+.f64 x -1/2))) 1))
(*.f64 y (+.f64 x -1/2))
(log1p.f64 (expm1.f64 (*.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))
(fma.f64 y x (*.f64 y -1/2))
(*.f64 y (+.f64 x -1/2))

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)

localize5.0ms (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)

series0.0ms (0%)

Counts

1 → 12

Calls

6 calls:

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

rewrite52.0ms (1%)

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))))))))

simplify99.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

962×	`*-commutative`
868×	`log-prod`
862×	`fma-def`
840×	`+-commutative`
744×	`associate-+r-`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	62	464
1	145	456
2	421	456
3	2309	452
4	4522	452
5	7082	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 x -1/2))
(*.f64 y (+.f64 -1/2 x))
(+.f64 (.f64 -1/2 y) (.f64 y x))
(*.f64 y (+.f64 x -1/2))
(*.f64 y (+.f64 -1/2 x))
(+.f64 (.f64 -1/2 y) (.f64 y x))
(*.f64 y (+.f64 x -1/2))
(*.f64 y (+.f64 -1/2 x))
(*.f64 y x)
(+.f64 (.f64 -1/2 y) (.f64 y x))
(*.f64 y (+.f64 x -1/2))
(*.f64 y (+.f64 -1/2 x))
(+.f64 (.f64 -1/2 y) (.f64 y x))
(*.f64 y (+.f64 x -1/2))
(*.f64 y (+.f64 -1/2 x))
(+.f64 (.f64 -1/2 y) (.f64 y x))
(*.f64 y (+.f64 x -1/2))
(*.f64 y (+.f64 -1/2 x))
(*.f64 y x)
(+.f64 (.f64 -1/2 y) (.f64 y x))
(*.f64 y (+.f64 x -1/2))
(*.f64 y (+.f64 -1/2 x))
(+.f64 (.f64 -1/2 y) (.f64 y x))
(*.f64 y (+.f64 x -1/2))
(*.f64 y (+.f64 -1/2 x))
(+.f64 (.f64 -1/2 y) (.f64 y x))
(*.f64 y (+.f64 x -1/2))
(*.f64 y (+.f64 -1/2 x))
(+.f64 (.f64 y x) (.f64 y -1/2))
(*.f64 y (+.f64 x -1/2))
(*.f64 y (+.f64 -1/2 x))
(+.f64 (.f64 x y) (.f64 -1/2 y))
(*.f64 y (+.f64 x -1/2))
(*.f64 y (+.f64 -1/2 x))
(-.f64 (+.f64 1 (*.f64 y (-.f64 x 1/2))) 1)
(*.f64 y (+.f64 x -1/2))
(*.f64 y (+.f64 -1/2 x))
(/.f64 (*.f64 y (fma.f64 x x -1/4)) (+.f64 x 1/2))
(*.f64 (/.f64 y (+.f64 x 1/2)) (fma.f64 x x -1/4))
(*.f64 (fma.f64 x x -1/4) (/.f64 y (+.f64 x 1/2)))
(*.f64 y (/.f64 (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 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 (fma.f64 x x (fma.f64 x 1/2 1/4)) y))
(*.f64 y (/.f64 (+.f64 (pow.f64 x 3) -1/8) (fma.f64 x (+.f64 x 1/2) 1/4)))
(/.f64 (*.f64 (fma.f64 x x -1/4) y) (+.f64 x 1/2))
(/.f64 (*.f64 y (fma.f64 x x -1/4)) (+.f64 x 1/2))
(*.f64 (/.f64 y (+.f64 x 1/2)) (fma.f64 x x -1/4))
(*.f64 (fma.f64 x x -1/4) (/.f64 y (+.f64 x 1/2)))
(*.f64 y (/.f64 (fma.f64 x x -1/4) (+.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 (fma.f64 x x (fma.f64 x 1/2 1/4)) y))
(*.f64 y (/.f64 (+.f64 (pow.f64 x 3) -1/8) (fma.f64 x (+.f64 x 1/2) 1/4)))
(pow.f64 (*.f64 y (-.f64 x 1/2)) 1)
(*.f64 y (+.f64 x -1/2))
(*.f64 y (+.f64 -1/2 x))
(pow.f64 (sqrt.f64 (*.f64 y (-.f64 x 1/2))) 2)
(*.f64 y (+.f64 x -1/2))
(*.f64 y (+.f64 -1/2 x))
(pow.f64 (cbrt.f64 (*.f64 y (-.f64 x 1/2))) 3)
(*.f64 y (+.f64 x -1/2))
(*.f64 y (+.f64 -1/2 x))
(pow.f64 (pow.f64 (*.f64 y (-.f64 x 1/2)) 3) 1/3)
(*.f64 y (+.f64 x -1/2))
(*.f64 y (+.f64 -1/2 x))
(sqrt.f64 (pow.f64 (*.f64 y (-.f64 x 1/2)) 2))
(*.f64 y (+.f64 x -1/2))
(*.f64 y (+.f64 -1/2 x))
(log.f64 (pow.f64 (exp.f64 (-.f64 x 1/2)) y))
(*.f64 y (+.f64 x -1/2))
(*.f64 y (+.f64 -1/2 x))
(cbrt.f64 (pow.f64 (*.f64 y (-.f64 x 1/2)) 3))
(*.f64 y (+.f64 x -1/2))
(*.f64 y (+.f64 -1/2 x))
(expm1.f64 (log1p.f64 (*.f64 y (-.f64 x 1/2))))
(*.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 x -1/2))
(*.f64 y (+.f64 -1/2 x))
(exp.f64 (.f64 (log.f64 (.f64 y (-.f64 x 1/2))) 1))
(*.f64 y (+.f64 x -1/2))
(*.f64 y (+.f64 -1/2 x))
(log1p.f64 (expm1.f64 (*.f64 y (-.f64 x 1/2))))
(*.f64 y (+.f64 x -1/2))
(*.f64 y (+.f64 -1/2 x))

localize5.0ms (0.1%)

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

localize5.0ms (0.1%)

Compiler: Compiled 12 to 4 computations (66.7% saved)

eval592.0ms (11%)

Compiler: Compiled 11346 to 8448 computations (25.5% saved)

prune135.0ms (2.5%)

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	443	6	449
Fresh	0	0	0
Picked	0	1	1
Done	2	3	5
Total	445	10	455

Error

Counts

455 → 10

Alt Table

Click to see full alt table

Status	Error	Program
✓	34.6b	(-.f64 (*.f64 y x) x)
✓	28.4b	(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))
✓	24.8b	(-.f64 918938533204673/1000000000000000 x)
▶	0.3b	(+.f64 (-.f64 1918938533204673/1000000000000000 (-.f64 x -1)) (*.f64 y (+.f64 x -1/2)))
▶	37.7b	(+.f64 (.f64 y x) (.f64 y -1/2))
✓	37.7b	(*.f64 y (-.f64 x 1/2))
▶	54.2b	(*.f64 y x)
▶	46.3b	(*.f64 -1/2 y)
▶	42.8b	(neg.f64 x)
	44.4b	918938533204673/1000000000000000

Compiler

Compiled 101 to 74 computations (26.7% saved)

localize13.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(*.f64 y (+.f64 x -1/2))
✓	0.5b	(-.f64 1918938533204673/1000000000000000 (-.f64 x -1))

Compiler

Compiled 34 to 24 computations (29.4% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(-.f64 1918938533204673/1000000000000000 (-.f64 x -1))
0.0ms	x	@	inf	(-.f64 1918938533204673/1000000000000000 (-.f64 x -1))
0.0ms	x	@	-inf	(-.f64 1918938533204673/1000000000000000 (-.f64 x -1))

rewrite104.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1786×	`add-sqr-sqrt`
1762×	`*-un-lft-identity`
1658×	`add-cube-cbrt`
1648×	`add-cbrt-cube`
158×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	163	13
2	2081	13

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

Inputs
(-.f64 1918938533204673/1000000000000000 (-.f64 x -1))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1918938533204673/1000000000000000 (+.f64 (neg.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1918938533204673/1000000000000000 (*.f64 (+.f64 (neg.f64 x) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1918938533204673/1000000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1918938533204673/1000000000000000 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (neg.f64 x) -1) 1918938533204673/1000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 1918938533204673/1000000000000000 x) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1918938533204673/1000000000000000 (-.f64 x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1918938533204673/1000000000000000 (-.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1918938533204673/1000000000000000 (-.f64 x -1))) (sqrt.f64 (-.f64 1918938533204673/1000000000000000 (-.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1918938533204673/1000000000000000 (-.f64 x -1))) (pow.f64 (cbrt.f64 (-.f64 1918938533204673/1000000000000000 (-.f64 x -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1918938533204673/1000000000000000 (-.f64 x -1))) 2) (cbrt.f64 (-.f64 1918938533204673/1000000000000000 (-.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 3682325094217701901771309036929/1000000000000000000000000000000 (pow.f64 (-.f64 x -1) 2)) (/.f64 1 (+.f64 1918938533204673/1000000000000000 (-.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 7066155515080876194025165566155417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (-.f64 x -1) 3)) (/.f64 1 (+.f64 3682325094217701901771309036929/1000000000000000000000000000000 (*.f64 (-.f64 x -1) (+.f64 1918938533204673/1000000000000000 (-.f64 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1918938533204673/1000000000000000 (-.f64 x -1)) (-.f64 3682325094217701901771309036929/1000000000000000000000000000000 (pow.f64 (-.f64 x -1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 3682325094217701901771309036929/1000000000000000000000000000000 (*.f64 (-.f64 x -1) (+.f64 1918938533204673/1000000000000000 (-.f64 x -1)))) (-.f64 7066155515080876194025165566155417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (-.f64 x -1) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 3682325094217701901771309036929/1000000000000000000000000000000 (pow.f64 (-.f64 x -1) 2)) (+.f64 1918938533204673/1000000000000000 (-.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 7066155515080876194025165566155417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (-.f64 x -1) 3)) (+.f64 3682325094217701901771309036929/1000000000000000000000000000000 (*.f64 (-.f64 x -1) (+.f64 1918938533204673/1000000000000000 (-.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 3682325094217701901771309036929/1000000000000000000000000000000 (*.f64 (+.f64 (neg.f64 x) -1) (+.f64 (neg.f64 x) -1))) (-.f64 1918938533204673/1000000000000000 (+.f64 (neg.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (-.f64 1918938533204673/1000000000000000 x) (-.f64 1918938533204673/1000000000000000 x)) 1) (-.f64 (-.f64 1918938533204673/1000000000000000 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 7066155515080876194025165566155417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (+.f64 (neg.f64 x) -1) 3)) (+.f64 3682325094217701901771309036929/1000000000000000000000000000000 (-.f64 (*.f64 (+.f64 (neg.f64 x) -1) (+.f64 (neg.f64 x) -1)) (*.f64 1918938533204673/1000000000000000 (+.f64 (neg.f64 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (-.f64 1918938533204673/1000000000000000 x) 3) -1) (+.f64 (*.f64 (-.f64 1918938533204673/1000000000000000 x) (-.f64 1918938533204673/1000000000000000 x)) (-.f64 1 (*.f64 (-.f64 1918938533204673/1000000000000000 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 3682325094217701901771309036929/1000000000000000000000000000000 (pow.f64 (-.f64 x -1) 2))) (neg.f64 (+.f64 1918938533204673/1000000000000000 (-.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 7066155515080876194025165566155417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (-.f64 x -1) 3))) (neg.f64 (+.f64 3682325094217701901771309036929/1000000000000000000000000000000 (*.f64 (-.f64 x -1) (+.f64 1918938533204673/1000000000000000 (-.f64 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1918938533204673/1000000000000000 (-.f64 x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1918938533204673/1000000000000000 (-.f64 x -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 1918938533204673/1000000000000000 (-.f64 x -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1918938533204673/1000000000000000 (-.f64 x -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 1918938533204673/1000000000000000 (-.f64 x -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 1918938533204673/1000000000000000 (-.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 1918938533204673/1000000000000000 (-.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1918938533204673/1000000000000000 (-.f64 x -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 1918938533204673/1000000000000000 (-.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 1918938533204673/1000000000000000 (-.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 1918938533204673/1000000000000000 (-.f64 x -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1918938533204673/1000000000000000 (-.f64 x -1))))))))

simplify69.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1344×	`associate-r`
1080×	`associate-l`
1030×	`associate--r+`
904×	`associate-+l-`
892×	`associate-+r-`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	99	857
1	273	711
2	1096	695
3	5870	695

Stop Event

1×	node limit

Counts

47 → 53

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 1918938533204673/1000000000000000 (+.f64 (neg.f64 x) -1))
(+.f64 1918938533204673/1000000000000000 (*.f64 (+.f64 (neg.f64 x) -1) 1))
(+.f64 -1 (-.f64 1918938533204673/1000000000000000 x))
(+.f64 (-.f64 1918938533204673/1000000000000000 x) -1)
(+.f64 (+.f64 (neg.f64 x) -1) 1918938533204673/1000000000000000)
(+.f64 (*.f64 (-.f64 1918938533204673/1000000000000000 x) 1) -1)
(*.f64 (-.f64 1918938533204673/1000000000000000 (-.f64 x -1)) 1)
(*.f64 1 (-.f64 1918938533204673/1000000000000000 (-.f64 x -1)))
(*.f64 (sqrt.f64 (-.f64 1918938533204673/1000000000000000 (-.f64 x -1))) (sqrt.f64 (-.f64 1918938533204673/1000000000000000 (-.f64 x -1))))
(*.f64 (cbrt.f64 (-.f64 1918938533204673/1000000000000000 (-.f64 x -1))) (pow.f64 (cbrt.f64 (-.f64 1918938533204673/1000000000000000 (-.f64 x -1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1918938533204673/1000000000000000 (-.f64 x -1))) 2) (cbrt.f64 (-.f64 1918938533204673/1000000000000000 (-.f64 x -1))))
(*.f64 (-.f64 3682325094217701901771309036929/1000000000000000000000000000000 (pow.f64 (-.f64 x -1) 2)) (/.f64 1 (+.f64 1918938533204673/1000000000000000 (-.f64 x -1))))
(.f64 (-.f64 7066155515080876194025165566155417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (-.f64 x -1) 3)) (/.f64 1 (+.f64 3682325094217701901771309036929/1000000000000000000000000000000 (.f64 (-.f64 x -1) (+.f64 1918938533204673/1000000000000000 (-.f64 x -1))))))
(/.f64 1 (/.f64 (+.f64 1918938533204673/1000000000000000 (-.f64 x -1)) (-.f64 3682325094217701901771309036929/1000000000000000000000000000000 (pow.f64 (-.f64 x -1) 2))))
(/.f64 1 (/.f64 (+.f64 3682325094217701901771309036929/1000000000000000000000000000000 (*.f64 (-.f64 x -1) (+.f64 1918938533204673/1000000000000000 (-.f64 x -1)))) (-.f64 7066155515080876194025165566155417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (-.f64 x -1) 3))))
(/.f64 (-.f64 3682325094217701901771309036929/1000000000000000000000000000000 (pow.f64 (-.f64 x -1) 2)) (+.f64 1918938533204673/1000000000000000 (-.f64 x -1)))
(/.f64 (-.f64 7066155515080876194025165566155417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (-.f64 x -1) 3)) (+.f64 3682325094217701901771309036929/1000000000000000000000000000000 (*.f64 (-.f64 x -1) (+.f64 1918938533204673/1000000000000000 (-.f64 x -1)))))
(/.f64 (-.f64 3682325094217701901771309036929/1000000000000000000000000000000 (*.f64 (+.f64 (neg.f64 x) -1) (+.f64 (neg.f64 x) -1))) (-.f64 1918938533204673/1000000000000000 (+.f64 (neg.f64 x) -1)))
(/.f64 (-.f64 (*.f64 (-.f64 1918938533204673/1000000000000000 x) (-.f64 1918938533204673/1000000000000000 x)) 1) (-.f64 (-.f64 1918938533204673/1000000000000000 x) -1))
(/.f64 (+.f64 7066155515080876194025165566155417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (+.f64 (neg.f64 x) -1) 3)) (+.f64 3682325094217701901771309036929/1000000000000000000000000000000 (-.f64 (.f64 (+.f64 (neg.f64 x) -1) (+.f64 (neg.f64 x) -1)) (.f64 1918938533204673/1000000000000000 (+.f64 (neg.f64 x) -1)))))
(/.f64 (+.f64 (pow.f64 (-.f64 1918938533204673/1000000000000000 x) 3) -1) (+.f64 (.f64 (-.f64 1918938533204673/1000000000000000 x) (-.f64 1918938533204673/1000000000000000 x)) (-.f64 1 (.f64 (-.f64 1918938533204673/1000000000000000 x) -1))))
(/.f64 (neg.f64 (-.f64 3682325094217701901771309036929/1000000000000000000000000000000 (pow.f64 (-.f64 x -1) 2))) (neg.f64 (+.f64 1918938533204673/1000000000000000 (-.f64 x -1))))
(/.f64 (neg.f64 (-.f64 7066155515080876194025165566155417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (-.f64 x -1) 3))) (neg.f64 (+.f64 3682325094217701901771309036929/1000000000000000000000000000000 (*.f64 (-.f64 x -1) (+.f64 1918938533204673/1000000000000000 (-.f64 x -1))))))
(pow.f64 (-.f64 1918938533204673/1000000000000000 (-.f64 x -1)) 1)
(pow.f64 (sqrt.f64 (-.f64 1918938533204673/1000000000000000 (-.f64 x -1))) 2)
(pow.f64 (cbrt.f64 (-.f64 1918938533204673/1000000000000000 (-.f64 x -1))) 3)
(pow.f64 (pow.f64 (-.f64 1918938533204673/1000000000000000 (-.f64 x -1)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 1918938533204673/1000000000000000 (-.f64 x -1)) 2))
(log.f64 (exp.f64 (-.f64 1918938533204673/1000000000000000 (-.f64 x -1))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1918938533204673/1000000000000000 (-.f64 x -1)))))
(cbrt.f64 (pow.f64 (-.f64 1918938533204673/1000000000000000 (-.f64 x -1)) 3))
(expm1.f64 (log1p.f64 (-.f64 1918938533204673/1000000000000000 (-.f64 x -1))))
(exp.f64 (log.f64 (-.f64 1918938533204673/1000000000000000 (-.f64 x -1))))
(exp.f64 (*.f64 (log.f64 (-.f64 1918938533204673/1000000000000000 (-.f64 x -1))) 1))
(log1p.f64 (expm1.f64 (-.f64 1918938533204673/1000000000000000 (-.f64 x -1))))

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 1918938533204673/1000000000000000 (+.f64 (neg.f64 x) -1))
(-.f64 918938533204673/1000000000000000 x)
(+.f64 1918938533204673/1000000000000000 (*.f64 (+.f64 (neg.f64 x) -1) 1))
(-.f64 918938533204673/1000000000000000 x)
(+.f64 -1 (-.f64 1918938533204673/1000000000000000 x))
(-.f64 918938533204673/1000000000000000 x)
(+.f64 (-.f64 1918938533204673/1000000000000000 x) -1)
(-.f64 918938533204673/1000000000000000 x)
(+.f64 (+.f64 (neg.f64 x) -1) 1918938533204673/1000000000000000)
(-.f64 918938533204673/1000000000000000 x)
(+.f64 (*.f64 (-.f64 1918938533204673/1000000000000000 x) 1) -1)
(-.f64 918938533204673/1000000000000000 x)
(*.f64 (-.f64 1918938533204673/1000000000000000 (-.f64 x -1)) 1)
(-.f64 918938533204673/1000000000000000 x)
(*.f64 1 (-.f64 1918938533204673/1000000000000000 (-.f64 x -1)))
(-.f64 918938533204673/1000000000000000 x)
(*.f64 (sqrt.f64 (-.f64 1918938533204673/1000000000000000 (-.f64 x -1))) (sqrt.f64 (-.f64 1918938533204673/1000000000000000 (-.f64 x -1))))
(-.f64 918938533204673/1000000000000000 x)
(*.f64 (cbrt.f64 (-.f64 1918938533204673/1000000000000000 (-.f64 x -1))) (pow.f64 (cbrt.f64 (-.f64 1918938533204673/1000000000000000 (-.f64 x -1))) 2))
(-.f64 918938533204673/1000000000000000 x)
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1918938533204673/1000000000000000 (-.f64 x -1))) 2) (cbrt.f64 (-.f64 1918938533204673/1000000000000000 (-.f64 x -1))))
(-.f64 918938533204673/1000000000000000 x)
(*.f64 (-.f64 3682325094217701901771309036929/1000000000000000000000000000000 (pow.f64 (-.f64 x -1) 2)) (/.f64 1 (+.f64 1918938533204673/1000000000000000 (-.f64 x -1))))
(*.f64 (-.f64 3682325094217701901771309036929/1000000000000000000000000000000 (pow.f64 (+.f64 x 1) 2)) (/.f64 1 (+.f64 1918938533204673/1000000000000000 (+.f64 x 1))))
(/.f64 (-.f64 3682325094217701901771309036929/1000000000000000000000000000000 (pow.f64 (+.f64 x 1) 2)) (+.f64 x 2918938533204673/1000000000000000))
(/.f64 (-.f64 3682325094217701901771309036929/1000000000000000000000000000000 (pow.f64 (+.f64 1 x) 2)) (+.f64 2918938533204673/1000000000000000 x))
(.f64 (-.f64 7066155515080876194025165566155417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (-.f64 x -1) 3)) (/.f64 1 (+.f64 3682325094217701901771309036929/1000000000000000000000000000000 (.f64 (-.f64 x -1) (+.f64 1918938533204673/1000000000000000 (-.f64 x -1))))))
(/.f64 (.f64 (-.f64 7066155515080876194025165566155417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (+.f64 x 1) 3)) 1) (+.f64 3682325094217701901771309036929/1000000000000000000000000000000 (.f64 (+.f64 x 1) (+.f64 1918938533204673/1000000000000000 (+.f64 x 1)))))
(/.f64 (-.f64 7066155515080876194025165566155417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (+.f64 x 1) 3)) (fma.f64 (+.f64 x 1) (+.f64 x 2918938533204673/1000000000000000) 3682325094217701901771309036929/1000000000000000000000000000000))
(/.f64 (+.f64 7066155515080876194025165566155417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (-.f64 -1 x) 3)) (fma.f64 (-.f64 -1 x) (-.f64 -2918938533204673/1000000000000000 x) 3682325094217701901771309036929/1000000000000000000000000000000))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) -7066155515080876194025165566155417219672369217/1000000000000000000000000000000000000000000000) (fma.f64 (-.f64 -1 x) (+.f64 2918938533204673/1000000000000000 x) -3682325094217701901771309036929/1000000000000000000000000000000))
(/.f64 1 (/.f64 (+.f64 1918938533204673/1000000000000000 (-.f64 x -1)) (-.f64 3682325094217701901771309036929/1000000000000000000000000000000 (pow.f64 (-.f64 x -1) 2))))
(*.f64 (-.f64 3682325094217701901771309036929/1000000000000000000000000000000 (pow.f64 (+.f64 x 1) 2)) (/.f64 1 (+.f64 1918938533204673/1000000000000000 (+.f64 x 1))))
(/.f64 (-.f64 3682325094217701901771309036929/1000000000000000000000000000000 (pow.f64 (+.f64 x 1) 2)) (+.f64 x 2918938533204673/1000000000000000))
(/.f64 (-.f64 3682325094217701901771309036929/1000000000000000000000000000000 (pow.f64 (+.f64 1 x) 2)) (+.f64 2918938533204673/1000000000000000 x))
(/.f64 1 (/.f64 (+.f64 3682325094217701901771309036929/1000000000000000000000000000000 (*.f64 (-.f64 x -1) (+.f64 1918938533204673/1000000000000000 (-.f64 x -1)))) (-.f64 7066155515080876194025165566155417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (-.f64 x -1) 3))))
(/.f64 (.f64 (-.f64 7066155515080876194025165566155417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (+.f64 x 1) 3)) 1) (+.f64 3682325094217701901771309036929/1000000000000000000000000000000 (.f64 (+.f64 x 1) (+.f64 1918938533204673/1000000000000000 (+.f64 x 1)))))
(/.f64 (-.f64 7066155515080876194025165566155417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (+.f64 x 1) 3)) (fma.f64 (+.f64 x 1) (+.f64 x 2918938533204673/1000000000000000) 3682325094217701901771309036929/1000000000000000000000000000000))
(/.f64 (+.f64 7066155515080876194025165566155417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (-.f64 -1 x) 3)) (fma.f64 (-.f64 -1 x) (-.f64 -2918938533204673/1000000000000000 x) 3682325094217701901771309036929/1000000000000000000000000000000))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) -7066155515080876194025165566155417219672369217/1000000000000000000000000000000000000000000000) (fma.f64 (-.f64 -1 x) (+.f64 2918938533204673/1000000000000000 x) -3682325094217701901771309036929/1000000000000000000000000000000))
(/.f64 (-.f64 3682325094217701901771309036929/1000000000000000000000000000000 (pow.f64 (-.f64 x -1) 2)) (+.f64 1918938533204673/1000000000000000 (-.f64 x -1)))
(*.f64 (-.f64 3682325094217701901771309036929/1000000000000000000000000000000 (pow.f64 (+.f64 x 1) 2)) (/.f64 1 (+.f64 1918938533204673/1000000000000000 (+.f64 x 1))))
(/.f64 (-.f64 3682325094217701901771309036929/1000000000000000000000000000000 (pow.f64 (+.f64 x 1) 2)) (+.f64 x 2918938533204673/1000000000000000))
(/.f64 (-.f64 3682325094217701901771309036929/1000000000000000000000000000000 (pow.f64 (+.f64 1 x) 2)) (+.f64 2918938533204673/1000000000000000 x))
(/.f64 (-.f64 7066155515080876194025165566155417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (-.f64 x -1) 3)) (+.f64 3682325094217701901771309036929/1000000000000000000000000000000 (*.f64 (-.f64 x -1) (+.f64 1918938533204673/1000000000000000 (-.f64 x -1)))))
(/.f64 (.f64 (-.f64 7066155515080876194025165566155417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (+.f64 x 1) 3)) 1) (+.f64 3682325094217701901771309036929/1000000000000000000000000000000 (.f64 (+.f64 x 1) (+.f64 1918938533204673/1000000000000000 (+.f64 x 1)))))
(/.f64 (-.f64 7066155515080876194025165566155417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (+.f64 x 1) 3)) (fma.f64 (+.f64 x 1) (+.f64 x 2918938533204673/1000000000000000) 3682325094217701901771309036929/1000000000000000000000000000000))
(/.f64 (+.f64 7066155515080876194025165566155417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (-.f64 -1 x) 3)) (fma.f64 (-.f64 -1 x) (-.f64 -2918938533204673/1000000000000000 x) 3682325094217701901771309036929/1000000000000000000000000000000))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) -7066155515080876194025165566155417219672369217/1000000000000000000000000000000000000000000000) (fma.f64 (-.f64 -1 x) (+.f64 2918938533204673/1000000000000000 x) -3682325094217701901771309036929/1000000000000000000000000000000))
(/.f64 (-.f64 3682325094217701901771309036929/1000000000000000000000000000000 (*.f64 (+.f64 (neg.f64 x) -1) (+.f64 (neg.f64 x) -1))) (-.f64 1918938533204673/1000000000000000 (+.f64 (neg.f64 x) -1)))
(*.f64 (-.f64 3682325094217701901771309036929/1000000000000000000000000000000 (pow.f64 (+.f64 x 1) 2)) (/.f64 1 (+.f64 1918938533204673/1000000000000000 (+.f64 x 1))))
(/.f64 (-.f64 3682325094217701901771309036929/1000000000000000000000000000000 (pow.f64 (+.f64 x 1) 2)) (+.f64 x 2918938533204673/1000000000000000))
(/.f64 (-.f64 3682325094217701901771309036929/1000000000000000000000000000000 (pow.f64 (+.f64 1 x) 2)) (+.f64 2918938533204673/1000000000000000 x))
(/.f64 (-.f64 (*.f64 (-.f64 1918938533204673/1000000000000000 x) (-.f64 1918938533204673/1000000000000000 x)) 1) (-.f64 (-.f64 1918938533204673/1000000000000000 x) -1))
(/.f64 (fma.f64 (-.f64 1918938533204673/1000000000000000 x) (-.f64 1918938533204673/1000000000000000 x) -1) (+.f64 (-.f64 1918938533204673/1000000000000000 x) 1))
(/.f64 (fma.f64 (-.f64 1918938533204673/1000000000000000 x) (-.f64 1918938533204673/1000000000000000 x) -1) (+.f64 1 (-.f64 1918938533204673/1000000000000000 x)))
(*.f64 (/.f64 (-.f64 2918938533204673/1000000000000000 x) (-.f64 2918938533204673/1000000000000000 x)) (-.f64 918938533204673/1000000000000000 x))
(/.f64 (+.f64 7066155515080876194025165566155417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (+.f64 (neg.f64 x) -1) 3)) (+.f64 3682325094217701901771309036929/1000000000000000000000000000000 (-.f64 (.f64 (+.f64 (neg.f64 x) -1) (+.f64 (neg.f64 x) -1)) (.f64 1918938533204673/1000000000000000 (+.f64 (neg.f64 x) -1)))))
(/.f64 (.f64 (-.f64 7066155515080876194025165566155417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (+.f64 x 1) 3)) 1) (+.f64 3682325094217701901771309036929/1000000000000000000000000000000 (.f64 (+.f64 x 1) (+.f64 1918938533204673/1000000000000000 (+.f64 x 1)))))
(/.f64 (-.f64 7066155515080876194025165566155417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (+.f64 x 1) 3)) (fma.f64 (+.f64 x 1) (+.f64 x 2918938533204673/1000000000000000) 3682325094217701901771309036929/1000000000000000000000000000000))
(/.f64 (+.f64 7066155515080876194025165566155417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (-.f64 -1 x) 3)) (fma.f64 (-.f64 -1 x) (-.f64 -2918938533204673/1000000000000000 x) 3682325094217701901771309036929/1000000000000000000000000000000))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) -7066155515080876194025165566155417219672369217/1000000000000000000000000000000000000000000000) (fma.f64 (-.f64 -1 x) (+.f64 2918938533204673/1000000000000000 x) -3682325094217701901771309036929/1000000000000000000000000000000))
(/.f64 (+.f64 (pow.f64 (-.f64 1918938533204673/1000000000000000 x) 3) -1) (+.f64 (.f64 (-.f64 1918938533204673/1000000000000000 x) (-.f64 1918938533204673/1000000000000000 x)) (-.f64 1 (.f64 (-.f64 1918938533204673/1000000000000000 x) -1))))
(/.f64 (+.f64 -1 (pow.f64 (-.f64 1918938533204673/1000000000000000 x) 3)) (fma.f64 (-.f64 1918938533204673/1000000000000000 x) (-.f64 1918938533204673/1000000000000000 x) (-.f64 1 (*.f64 -1 (-.f64 1918938533204673/1000000000000000 x)))))
(/.f64 (+.f64 -1 (pow.f64 (-.f64 1918938533204673/1000000000000000 x) 3)) (+.f64 (fma.f64 (-.f64 1918938533204673/1000000000000000 x) (-.f64 1918938533204673/1000000000000000 x) 1) (-.f64 1918938533204673/1000000000000000 x)))
(/.f64 (+.f64 -1 (pow.f64 (-.f64 1918938533204673/1000000000000000 x) 3)) (+.f64 1 (*.f64 (-.f64 1918938533204673/1000000000000000 x) (-.f64 2918938533204673/1000000000000000 x))))
(/.f64 (neg.f64 (-.f64 3682325094217701901771309036929/1000000000000000000000000000000 (pow.f64 (-.f64 x -1) 2))) (neg.f64 (+.f64 1918938533204673/1000000000000000 (-.f64 x -1))))
(*.f64 (-.f64 3682325094217701901771309036929/1000000000000000000000000000000 (pow.f64 (+.f64 x 1) 2)) (/.f64 1 (+.f64 1918938533204673/1000000000000000 (+.f64 x 1))))
(/.f64 (-.f64 3682325094217701901771309036929/1000000000000000000000000000000 (pow.f64 (+.f64 x 1) 2)) (+.f64 x 2918938533204673/1000000000000000))
(/.f64 (-.f64 3682325094217701901771309036929/1000000000000000000000000000000 (pow.f64 (+.f64 1 x) 2)) (+.f64 2918938533204673/1000000000000000 x))
(/.f64 (neg.f64 (-.f64 7066155515080876194025165566155417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (-.f64 x -1) 3))) (neg.f64 (+.f64 3682325094217701901771309036929/1000000000000000000000000000000 (*.f64 (-.f64 x -1) (+.f64 1918938533204673/1000000000000000 (-.f64 x -1))))))
(/.f64 (.f64 (-.f64 7066155515080876194025165566155417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (+.f64 x 1) 3)) 1) (+.f64 3682325094217701901771309036929/1000000000000000000000000000000 (.f64 (+.f64 x 1) (+.f64 1918938533204673/1000000000000000 (+.f64 x 1)))))
(/.f64 (-.f64 7066155515080876194025165566155417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (+.f64 x 1) 3)) (fma.f64 (+.f64 x 1) (+.f64 x 2918938533204673/1000000000000000) 3682325094217701901771309036929/1000000000000000000000000000000))
(/.f64 (+.f64 7066155515080876194025165566155417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 (-.f64 -1 x) 3)) (fma.f64 (-.f64 -1 x) (-.f64 -2918938533204673/1000000000000000 x) 3682325094217701901771309036929/1000000000000000000000000000000))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) -7066155515080876194025165566155417219672369217/1000000000000000000000000000000000000000000000) (fma.f64 (-.f64 -1 x) (+.f64 2918938533204673/1000000000000000 x) -3682325094217701901771309036929/1000000000000000000000000000000))
(pow.f64 (-.f64 1918938533204673/1000000000000000 (-.f64 x -1)) 1)
(-.f64 918938533204673/1000000000000000 x)
(pow.f64 (sqrt.f64 (-.f64 1918938533204673/1000000000000000 (-.f64 x -1))) 2)
(-.f64 918938533204673/1000000000000000 x)
(pow.f64 (cbrt.f64 (-.f64 1918938533204673/1000000000000000 (-.f64 x -1))) 3)
(-.f64 918938533204673/1000000000000000 x)
(pow.f64 (pow.f64 (-.f64 1918938533204673/1000000000000000 (-.f64 x -1)) 3) 1/3)
(-.f64 918938533204673/1000000000000000 x)
(sqrt.f64 (pow.f64 (-.f64 1918938533204673/1000000000000000 (-.f64 x -1)) 2))
(-.f64 918938533204673/1000000000000000 x)
(log.f64 (exp.f64 (-.f64 1918938533204673/1000000000000000 (-.f64 x -1))))
(-.f64 918938533204673/1000000000000000 x)
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1918938533204673/1000000000000000 (-.f64 x -1)))))
(-.f64 918938533204673/1000000000000000 x)
(cbrt.f64 (pow.f64 (-.f64 1918938533204673/1000000000000000 (-.f64 x -1)) 3))
(-.f64 918938533204673/1000000000000000 x)
(expm1.f64 (log1p.f64 (-.f64 1918938533204673/1000000000000000 (-.f64 x -1))))
(-.f64 918938533204673/1000000000000000 x)
(exp.f64 (log.f64 (-.f64 1918938533204673/1000000000000000 (-.f64 x -1))))
(-.f64 918938533204673/1000000000000000 x)
(exp.f64 (*.f64 (log.f64 (-.f64 1918938533204673/1000000000000000 (-.f64 x -1))) 1))
(-.f64 918938533204673/1000000000000000 x)
(log1p.f64 (expm1.f64 (-.f64 1918938533204673/1000000000000000 (-.f64 x -1))))
(-.f64 918938533204673/1000000000000000 x)

localize3.0ms (0.1%)

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

localize3.0ms (0.1%)

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

localize3.0ms (0%)

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

localize8.0ms (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)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite86.0ms (1.6%)

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

simplify62.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1746×	`associate-*l/`
1300×	`associate-+r+`
1076×	`associate-+l+`
888×	`times-frac`
576×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	118	1429
1	314	1349
2	1243	1313
3	5468	1313

Stop Event

1×	node limit

Counts

67 → 54

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

eval80.0ms (1.5%)

Compiler: Compiled 2451 to 1703 computations (30.5% saved)

prune27.0ms (0.5%)

Pruning

10 alts after pruning (2 fresh and 8 done)

	Pruned	Kept	Total
New	152	1	153
Fresh	0	1	1
Picked	0	1	1
Done	1	7	8
Total	153	10	163

Error

Counts

163 → 10

Alt Table

Click to see full alt table

Status	Error	Program
✓	34.6b	(-.f64 (*.f64 y x) x)
✓	28.4b	(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))
✓	24.8b	(-.f64 918938533204673/1000000000000000 x)
▶	17.0b	(+.f64 (-.f64 1918938533204673/1000000000000000 (-.f64 x -1)) (*.f64 y x))
✓	37.7b	(+.f64 (.f64 y x) (.f64 y -1/2))
✓	37.7b	(*.f64 y (-.f64 x 1/2))
✓	54.2b	(*.f64 y x)
✓	46.3b	(*.f64 -1/2 y)
✓	42.8b	(neg.f64 x)
	44.4b	918938533204673/1000000000000000

Compiler

Compiled 63 to 46 computations (27% saved)

localize12.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (-.f64 1918938533204673/1000000000000000 (-.f64 x -1)) (*.f64 y x))
	0.5b	(-.f64 1918938533204673/1000000000000000 (-.f64 x -1))

Compiler

Compiled 26 to 16 computations (38.5% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(+.f64 (-.f64 1918938533204673/1000000000000000 (-.f64 x -1)) (*.f64 y x))
0.0ms	y	@	inf	(+.f64 (-.f64 1918938533204673/1000000000000000 (-.f64 x -1)) (*.f64 y x))
0.0ms	x	@	-inf	(+.f64 (-.f64 1918938533204673/1000000000000000 (-.f64 x -1)) (*.f64 y x))
0.0ms	x	@	inf	(+.f64 (-.f64 1918938533204673/1000000000000000 (-.f64 x -1)) (*.f64 y x))
0.0ms	y	@	-inf	(+.f64 (-.f64 1918938533204673/1000000000000000 (-.f64 x -1)) (*.f64 y x))

rewrite89.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1442×	`associate-*r/`
1198×	`associate-*l/`
1080×	`*-commutative`
476×	`associate-+l+`
356×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	234	21
2	3232	15

Stop Event

1×	node limit

Counts

1 → 96

Calls

Call 1

Inputs
(+.f64 (-.f64 1918938533204673/1000000000000000 (-.f64 x -1)) (*.f64 y x))

Outputs

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simplify94.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1348×	`associate-/r*`
1110×	`associate-*r/`
884×	`*-commutative`
720×	`+-commutative`
644×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	283	5694
1	806	5182
2	3492	4624

Stop Event

1×	node limit

Counts

120 → 172

Calls

Call 1

Inputs
918938533204673/1000000000000000
(+.f64 (*.f64 (-.f64 y 1) x) 918938533204673/1000000000000000)
(+.f64 (*.f64 (-.f64 y 1) x) 918938533204673/1000000000000000)
(+.f64 (*.f64 (-.f64 y 1) x) 918938533204673/1000000000000000)
(*.f64 (-.f64 y 1) x)
(+.f64 918938533204673/1000000000000000 (*.f64 (-.f64 y 1) x))
(+.f64 918938533204673/1000000000000000 (*.f64 (-.f64 y 1) x))
(+.f64 918938533204673/1000000000000000 (*.f64 (-.f64 y 1) x))
(.f64 -1 (.f64 (+.f64 1 (*.f64 -1 y)) x))
(+.f64 918938533204673/1000000000000000 (.f64 -1 (.f64 (+.f64 1 (*.f64 -1 y)) x)))
(+.f64 918938533204673/1000000000000000 (.f64 -1 (.f64 (+.f64 1 (*.f64 -1 y)) x)))
(+.f64 918938533204673/1000000000000000 (.f64 -1 (.f64 (+.f64 1 (*.f64 -1 y)) x)))
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(/.f64 (/.f64 (-.f64 (pow.f64 (-.f64 1918938533204673/1000000000000000 (-.f64 x -1)) 2) (pow.f64 (.f64 y x) 2)) 1) (-.f64 (-.f64 1918938533204673/1000000000000000 (-.f64 x -1)) (.f64 y x)))
(/.f64 (/.f64 (-.f64 (pow.f64 (-.f64 1918938533204673/1000000000000000 (-.f64 x -1)) 2) (pow.f64 (.f64 y x) 2)) (sqrt.f64 (-.f64 (-.f64 1918938533204673/1000000000000000 (-.f64 x -1)) (.f64 y x)))) (sqrt.f64 (-.f64 (-.f64 1918938533204673/1000000000000000 (-.f64 x -1)) (*.f64 y x))))
(/.f64 (/.f64 (-.f64 (pow.f64 (-.f64 1918938533204673/1000000000000000 (-.f64 x -1)) 2) (pow.f64 (.f64 y x) 2)) (.f64 (cbrt.f64 (-.f64 (-.f64 1918938533204673/1000000000000000 (-.f64 x -1)) (.f64 y x))) (cbrt.f64 (-.f64 (-.f64 1918938533204673/1000000000000000 (-.f64 x -1)) (.f64 y x))))) (cbrt.f64 (-.f64 (-.f64 1918938533204673/1000000000000000 (-.f64 x -1)) (*.f64 y x))))
(/.f64 (/.f64 (-.f64 (pow.f64 (-.f64 1918938533204673/1000000000000000 (-.f64 x -1)) 2) (pow.f64 (.f64 y x) 2)) (+.f64 (sqrt.f64 (.f64 y x)) (sqrt.f64 (-.f64 1918938533204673/1000000000000000 (-.f64 x -1))))) (-.f64 (sqrt.f64 (-.f64 1918938533204673/1000000000000000 (-.f64 x -1))) (sqrt.f64 (*.f64 y x))))
(/.f64 (/.f64 (+.f64 (pow.f64 (-.f64 1918938533204673/1000000000000000 (-.f64 x -1)) 3) (pow.f64 (.f64 y x) 3)) 1) (+.f64 (pow.f64 (-.f64 1918938533204673/1000000000000000 (-.f64 x -1)) 2) (.f64 (.f64 y x) (-.f64 (.f64 y x) (-.f64 1918938533204673/1000000000000000 (-.f64 x -1))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (-.f64 1918938533204673/1000000000000000 (-.f64 x -1)) 3) (pow.f64 (.f64 y x) 3)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 1918938533204673/1000000000000000 (-.f64 x -1)) 2) (.f64 (.f64 y x) (-.f64 (.f64 y x) (-.f64 1918938533204673/1000000000000000 (-.f64 x -1))))))) (sqrt.f64 (+.f64 (pow.f64 (-.f64 1918938533204673/1000000000000000 (-.f64 x -1)) 2) (.f64 (.f64 y x) (-.f64 (*.f64 y x) (-.f64 1918938533204673/1000000000000000 (-.f64 x -1)))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (-.f64 1918938533204673/1000000000000000 (-.f64 x -1)) 3) (pow.f64 (.f64 y x) 3)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (-.f64 1918938533204673/1000000000000000 (-.f64 x -1)) 2) (.f64 (.f64 y x) (-.f64 (.f64 y x) (-.f64 1918938533204673/1000000000000000 (-.f64 x -1)))))) (cbrt.f64 (+.f64 (pow.f64 (-.f64 1918938533204673/1000000000000000 (-.f64 x -1)) 2) (.f64 (.f64 y x) (-.f64 (.f64 y x) (-.f64 1918938533204673/1000000000000000 (-.f64 x -1)))))))) (cbrt.f64 (+.f64 (pow.f64 (-.f64 1918938533204673/1000000000000000 (-.f64 x -1)) 2) (.f64 (.f64 y x) (-.f64 (*.f64 y x) (-.f64 1918938533204673/1000000000000000 (-.f64 x -1)))))))
(pow.f64 (+.f64 (-.f64 1918938533204673/1000000000000000 (-.f64 x -1)) (*.f64 y x)) 1)
(pow.f64 (sqrt.f64 (+.f64 (-.f64 1918938533204673/1000000000000000 (-.f64 x -1)) (*.f64 y x))) 2)
(pow.f64 (cbrt.f64 (+.f64 (-.f64 1918938533204673/1000000000000000 (-.f64 x -1)) (*.f64 y x))) 3)
(pow.f64 (pow.f64 (+.f64 (-.f64 1918938533204673/1000000000000000 (-.f64 x -1)) (*.f64 y x)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (-.f64 1918938533204673/1000000000000000 (-.f64 x -1)) (*.f64 y x)) 2))
(log.f64 (exp.f64 (+.f64 (-.f64 1918938533204673/1000000000000000 (-.f64 x -1)) (*.f64 y x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (-.f64 1918938533204673/1000000000000000 (-.f64 x -1)) (*.f64 y x)))))
(cbrt.f64 (pow.f64 (+.f64 (-.f64 1918938533204673/1000000000000000 (-.f64 x -1)) (*.f64 y x)) 3))
(expm1.f64 (log1p.f64 (+.f64 (-.f64 1918938533204673/1000000000000000 (-.f64 x -1)) (*.f64 y x))))
(exp.f64 (log.f64 (+.f64 (-.f64 1918938533204673/1000000000000000 (-.f64 x -1)) (*.f64 y x))))
(log1p.f64 (expm1.f64 (+.f64 (-.f64 1918938533204673/1000000000000000 (-.f64 x -1)) (*.f64 y x))))
(fma.f64 x y (-.f64 1918938533204673/1000000000000000 (-.f64 x -1)))
(fma.f64 y x (-.f64 1918938533204673/1000000000000000 (-.f64 x -1)))
(fma.f64 1 (-.f64 1918938533204673/1000000000000000 (-.f64 x -1)) (*.f64 y x))
(fma.f64 1 (*.f64 y x) (-.f64 1918938533204673/1000000000000000 (-.f64 x -1)))
(fma.f64 (sqrt.f64 (.f64 y x)) (sqrt.f64 (.f64 y x)) (-.f64 1918938533204673/1000000000000000 (-.f64 x -1)))
(fma.f64 (sqrt.f64 (-.f64 1918938533204673/1000000000000000 (-.f64 x -1))) (sqrt.f64 (-.f64 1918938533204673/1000000000000000 (-.f64 x -1))) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 y x)) 2) (cbrt.f64 (.f64 y x)) (-.f64 1918938533204673/1000000000000000 (-.f64 x -1)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 1918938533204673/1000000000000000 (-.f64 x -1))) 2) (cbrt.f64 (-.f64 1918938533204673/1000000000000000 (-.f64 x -1))) (*.f64 y x))

Outputs
918938533204673/1000000000000000
(+.f64 (*.f64 (-.f64 y 1) x) 918938533204673/1000000000000000)
(fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000)
(-.f64 (fma.f64 y x 918938533204673/1000000000000000) x)
(+.f64 (*.f64 (-.f64 y 1) x) 918938533204673/1000000000000000)
(fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000)
(-.f64 (fma.f64 y x 918938533204673/1000000000000000) x)
(+.f64 (*.f64 (-.f64 y 1) x) 918938533204673/1000000000000000)
(fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000)
(-.f64 (fma.f64 y x 918938533204673/1000000000000000) x)
(*.f64 (-.f64 y 1) x)
(*.f64 (+.f64 y -1) x)
(-.f64 (*.f64 y x) x)
(+.f64 918938533204673/1000000000000000 (*.f64 (-.f64 y 1) x))
(fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000)
(-.f64 (fma.f64 y x 918938533204673/1000000000000000) x)
(+.f64 918938533204673/1000000000000000 (*.f64 (-.f64 y 1) x))
(fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000)
(-.f64 (fma.f64 y x 918938533204673/1000000000000000) x)
(+.f64 918938533204673/1000000000000000 (*.f64 (-.f64 y 1) x))
(fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000)
(-.f64 (fma.f64 y x 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 -1 (.f64 (+.f64 1 (*.f64 -1 y)) x)))
(+.f64 918938533204673/1000000000000000 (neg.f64 (*.f64 x (+.f64 1 (neg.f64 y)))))
(-.f64 918938533204673/1000000000000000 (*.f64 x (-.f64 1 y)))
(+.f64 918938533204673/1000000000000000 (.f64 -1 (.f64 (+.f64 1 (*.f64 -1 y)) x)))
(+.f64 918938533204673/1000000000000000 (neg.f64 (*.f64 x (+.f64 1 (neg.f64 y)))))
(-.f64 918938533204673/1000000000000000 (*.f64 x (-.f64 1 y)))
(+.f64 918938533204673/1000000000000000 (.f64 -1 (.f64 (+.f64 1 (*.f64 -1 y)) x)))
(+.f64 918938533204673/1000000000000000 (neg.f64 (*.f64 x (+.f64 1 (neg.f64 y)))))
(-.f64 918938533204673/1000000000000000 (*.f64 x (-.f64 1 y)))
(-.f64 918938533204673/1000000000000000 x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) x)
(fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000)
(-.f64 (fma.f64 y x 918938533204673/1000000000000000) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) x)
(fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000)
(-.f64 (fma.f64 y x 918938533204673/1000000000000000) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) x)
(fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000)
(-.f64 (fma.f64 y x 918938533204673/1000000000000000) x)
(*.f64 y x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) x)
(fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000)
(-.f64 (fma.f64 y x 918938533204673/1000000000000000) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) x)
(fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000)
(-.f64 (fma.f64 y x 918938533204673/1000000000000000) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) x)
(fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000)
(-.f64 (fma.f64 y x 918938533204673/1000000000000000) x)
(*.f64 y x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) x)
(fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000)
(-.f64 (fma.f64 y x 918938533204673/1000000000000000) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) x)
(fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000)
(-.f64 (fma.f64 y x 918938533204673/1000000000000000) x)
(-.f64 (+.f64 918938533204673/1000000000000000 (*.f64 y x)) x)
(fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000)
(-.f64 (fma.f64 y x 918938533204673/1000000000000000) x)
(-.f64 1918938533204673/1000000000000000 (+.f64 x (-.f64 1 (*.f64 y x))))
(fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000)
(-.f64 (fma.f64 y x 918938533204673/1000000000000000) x)
(-.f64 (-.f64 1918938533204673/1000000000000000 (-.f64 x -1)) (*.f64 y (neg.f64 x)))
(fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000)
(-.f64 (fma.f64 y x 918938533204673/1000000000000000) x)
(-.f64 (-.f64 1918938533204673/1000000000000000 (-.f64 x -1)) (*.f64 x (neg.f64 y)))
(fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000)
(-.f64 (fma.f64 y x 918938533204673/1000000000000000) x)
(-.f64 (-.f64 1918938533204673/1000000000000000 (-.f64 x -1)) (.f64 -1 (.f64 y x)))
(fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000)
(-.f64 (fma.f64 y x 918938533204673/1000000000000000) x)
(-.f64 (-.f64 1918938533204673/1000000000000000 (-.f64 x -1)) (.f64 (sqrt.f64 (.f64 y x)) (neg.f64 (sqrt.f64 (*.f64 y x)))))
(fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000)
(-.f64 (fma.f64 y x 918938533204673/1000000000000000) x)
(-.f64 (-.f64 1918938533204673/1000000000000000 (-.f64 x -1)) (.f64 (cbrt.f64 (.f64 y x)) (neg.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2))))
(fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000)
(-.f64 (fma.f64 y x 918938533204673/1000000000000000) x)
(-.f64 (-.f64 1918938533204673/1000000000000000 (-.f64 x -1)) (neg.f64 (*.f64 y x)))
(fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000)
(-.f64 (fma.f64 y x 918938533204673/1000000000000000) x)
(-.f64 (+.f64 (-.f64 1918938533204673/1000000000000000 (-.f64 x -1)) (.f64 y x)) (fma.f64 (neg.f64 y) x (.f64 y x)))
(-.f64 (fma.f64 y x (+.f64 (-.f64 1918938533204673/1000000000000000 x) -1)) (fma.f64 (neg.f64 x) y (*.f64 y x)))
(+.f64 (-.f64 (fma.f64 y x 918938533204673/1000000000000000) x) (.f64 0 (.f64 y x)))
(+.f64 (-.f64 (fma.f64 y x 918938533204673/1000000000000000) x) (.f64 (.f64 y x) 0))
(-.f64 (+.f64 (-.f64 1918938533204673/1000000000000000 (-.f64 x -1)) (.f64 y x)) (fma.f64 (neg.f64 x) y (.f64 y x)))
(-.f64 (fma.f64 y x (+.f64 (-.f64 1918938533204673/1000000000000000 x) -1)) (fma.f64 (neg.f64 x) y (*.f64 y x)))
(+.f64 (-.f64 (fma.f64 y x 918938533204673/1000000000000000) x) (.f64 0 (.f64 y x)))
(+.f64 (-.f64 (fma.f64 y x 918938533204673/1000000000000000) x) (.f64 (.f64 y x) 0))
(-.f64 (+.f64 (-.f64 1918938533204673/1000000000000000 (-.f64 x -1)) (.f64 y x)) (fma.f64 (neg.f64 (.f64 y x)) 1 (*.f64 y x)))
(-.f64 (fma.f64 y x (+.f64 (-.f64 1918938533204673/1000000000000000 x) -1)) (fma.f64 (neg.f64 x) y (*.f64 y x)))
(+.f64 (-.f64 (fma.f64 y x 918938533204673/1000000000000000) x) (.f64 0 (.f64 y x)))
(+.f64 (-.f64 (fma.f64 y x 918938533204673/1000000000000000) x) (.f64 (.f64 y x) 0))
(-.f64 (+.f64 (-.f64 1918938533204673/1000000000000000 (-.f64 x -1)) (.f64 y x)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 y x))) (sqrt.f64 (.f64 y x)) (.f64 y x)))
(-.f64 (fma.f64 y x (+.f64 (-.f64 1918938533204673/1000000000000000 x) -1)) (fma.f64 (neg.f64 x) y (*.f64 y x)))
(+.f64 (-.f64 (fma.f64 y x 918938533204673/1000000000000000) x) (.f64 0 (.f64 y x)))
(+.f64 (-.f64 (fma.f64 y x 918938533204673/1000000000000000) x) (.f64 (.f64 y x) 0))
(-.f64 (+.f64 (-.f64 1918938533204673/1000000000000000 (-.f64 x -1)) (.f64 y x)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 y x))) (pow.f64 (cbrt.f64 (.f64 y x)) 2) (.f64 y x)))
(-.f64 (fma.f64 y x (+.f64 (-.f64 1918938533204673/1000000000000000 x) -1)) (fma.f64 (neg.f64 x) y (*.f64 y x)))
(+.f64 (-.f64 (fma.f64 y x 918938533204673/1000000000000000) x) (.f64 0 (.f64 y x)))
(+.f64 (-.f64 (fma.f64 y x 918938533204673/1000000000000000) x) (.f64 (.f64 y x) 0))
(-.f64 (-.f64 1918938533204673/1000000000000000 x) (-.f64 1 (*.f64 y x)))
(fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000)
(-.f64 (fma.f64 y x 918938533204673/1000000000000000) x)
(-.f64 (exp.f64 (log1p.f64 (+.f64 (-.f64 1918938533204673/1000000000000000 (-.f64 x -1)) (*.f64 y x)))) 1)
(fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000)
(-.f64 (fma.f64 y x 918938533204673/1000000000000000) x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 y x))) (-.f64 1 (-.f64 1918938533204673/1000000000000000 (-.f64 x -1))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y x))) (+.f64 -918938533204673/1000000000000000 (+.f64 x 1)))
(+.f64 (+.f64 -1 (-.f64 1918938533204673/1000000000000000 x)) (expm1.f64 (log1p.f64 (*.f64 y x))))
(+.f64 (-.f64 918938533204673/1000000000000000 x) (expm1.f64 (log1p.f64 (*.f64 y x))))
(-.f64 (+.f64 1918938533204673/1000000000000000 (*.f64 y x)) (-.f64 x -1))
(fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000)
(-.f64 (fma.f64 y x 918938533204673/1000000000000000) x)
(-.f64 (+.f64 (*.f64 y x) (-.f64 1918938533204673/1000000000000000 x)) 1)
(fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000)
(-.f64 (fma.f64 y x 918938533204673/1000000000000000) x)
(-.f64 (/.f64 (pow.f64 (-.f64 1918938533204673/1000000000000000 (-.f64 x -1)) 2) (-.f64 (-.f64 1918938533204673/1000000000000000 (-.f64 x -1)) (.f64 y x))) (/.f64 (pow.f64 (.f64 y x) 2) (-.f64 (-.f64 1918938533204673/1000000000000000 (-.f64 x -1)) (*.f64 y x))))
(fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000)
(-.f64 (fma.f64 y x 918938533204673/1000000000000000) x)
(-.f64 (/.f64 3682325094217701901771309036929/1000000000000000000000000000000 (+.f64 x 2918938533204673/1000000000000000)) (-.f64 (/.f64 (pow.f64 (-.f64 x -1) 2) (+.f64 x 2918938533204673/1000000000000000)) (*.f64 y x)))
(+.f64 (-.f64 (/.f64 3682325094217701901771309036929/1000000000000000000000000000000 (+.f64 x 2918938533204673/1000000000000000)) (/.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2918938533204673/1000000000000000))) (*.f64 y x))
(-.f64 (fma.f64 y x (/.f64 3682325094217701901771309036929/1000000000000000000000000000000 (+.f64 x 2918938533204673/1000000000000000))) (/.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2918938533204673/1000000000000000)))
(-.f64 (/.f64 7066155515080876194025165566155417219672369217/1000000000000000000000000000000000000000000000 (+.f64 3682325094217701901771309036929/1000000000000000000000000000000 (.f64 (-.f64 x -1) (+.f64 x 2918938533204673/1000000000000000)))) (-.f64 (/.f64 (pow.f64 (-.f64 x -1) 3) (+.f64 3682325094217701901771309036929/1000000000000000000000000000000 (.f64 (-.f64 x -1) (+.f64 x 2918938533204673/1000000000000000)))) (*.f64 y x)))
(+.f64 (-.f64 (/.f64 7066155515080876194025165566155417219672369217/1000000000000000000000000000000000000000000000 (+.f64 3682325094217701901771309036929/1000000000000000000000000000000 (.f64 (+.f64 x 1) (+.f64 x 2918938533204673/1000000000000000)))) (/.f64 (pow.f64 (+.f64 x 1) 3) (+.f64 3682325094217701901771309036929/1000000000000000000000000000000 (.f64 (+.f64 x 1) (+.f64 x 2918938533204673/1000000000000000))))) (*.f64 y x))
(-.f64 (fma.f64 y x (/.f64 7066155515080876194025165566155417219672369217/1000000000000000000000000000000000000000000000 (fma.f64 (+.f64 1 x) (+.f64 x 2918938533204673/1000000000000000) 3682325094217701901771309036929/1000000000000000000000000000000))) (/.f64 (pow.f64 (+.f64 1 x) 3) (fma.f64 (+.f64 1 x) (+.f64 x 2918938533204673/1000000000000000) 3682325094217701901771309036929/1000000000000000000000000000000)))
(-.f64 (+.f64 (-.f64 1918938533204673/1000000000000000 (-.f64 x -1)) (exp.f64 (log1p.f64 (*.f64 y x)))) 1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 y x))) (+.f64 -918938533204673/1000000000000000 (+.f64 x 1)))
(+.f64 (+.f64 -1 (-.f64 1918938533204673/1000000000000000 x)) (expm1.f64 (log1p.f64 (*.f64 y x))))
(+.f64 (-.f64 918938533204673/1000000000000000 x) (expm1.f64 (log1p.f64 (*.f64 y x))))
(-.f64 (+.f64 (*.f64 y x) (/.f64 3682325094217701901771309036929/1000000000000000000000000000000 (+.f64 x 2918938533204673/1000000000000000))) (/.f64 (pow.f64 (-.f64 x -1) 2) (+.f64 x 2918938533204673/1000000000000000)))
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(fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000)
(-.f64 (fma.f64 y x 918938533204673/1000000000000000) x)
(exp.f64 (log.f64 (+.f64 (-.f64 1918938533204673/1000000000000000 (-.f64 x -1)) (*.f64 y x))))
(fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000)
(-.f64 (fma.f64 y x 918938533204673/1000000000000000) x)
(log1p.f64 (expm1.f64 (+.f64 (-.f64 1918938533204673/1000000000000000 (-.f64 x -1)) (*.f64 y x))))
(fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000)
(-.f64 (fma.f64 y x 918938533204673/1000000000000000) x)
(fma.f64 x y (-.f64 1918938533204673/1000000000000000 (-.f64 x -1)))
(fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000)
(-.f64 (fma.f64 y x 918938533204673/1000000000000000) x)
(fma.f64 y x (-.f64 1918938533204673/1000000000000000 (-.f64 x -1)))
(fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000)
(-.f64 (fma.f64 y x 918938533204673/1000000000000000) x)
(fma.f64 1 (-.f64 1918938533204673/1000000000000000 (-.f64 x -1)) (*.f64 y x))
(fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000)
(-.f64 (fma.f64 y x 918938533204673/1000000000000000) x)
(fma.f64 1 (*.f64 y x) (-.f64 1918938533204673/1000000000000000 (-.f64 x -1)))
(fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000)
(-.f64 (fma.f64 y x 918938533204673/1000000000000000) x)
(fma.f64 (sqrt.f64 (.f64 y x)) (sqrt.f64 (.f64 y x)) (-.f64 1918938533204673/1000000000000000 (-.f64 x -1)))
(fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000)
(-.f64 (fma.f64 y x 918938533204673/1000000000000000) x)
(fma.f64 (sqrt.f64 (-.f64 1918938533204673/1000000000000000 (-.f64 x -1))) (sqrt.f64 (-.f64 1918938533204673/1000000000000000 (-.f64 x -1))) (*.f64 y x))
(fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000)
(-.f64 (fma.f64 y x 918938533204673/1000000000000000) x)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 y x)) 2) (cbrt.f64 (.f64 y x)) (-.f64 1918938533204673/1000000000000000 (-.f64 x -1)))
(fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000)
(-.f64 (fma.f64 y x 918938533204673/1000000000000000) x)
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 1918938533204673/1000000000000000 (-.f64 x -1))) 2) (cbrt.f64 (-.f64 1918938533204673/1000000000000000 (-.f64 x -1))) (*.f64 y x))
(fma.f64 (+.f64 y -1) x 918938533204673/1000000000000000)
(-.f64 (fma.f64 y x 918938533204673/1000000000000000) x)

eval102.0ms (1.9%)

Compiler: Compiled 5713 to 3759 computations (34.2% saved)

prune37.0ms (0.7%)

Pruning

10 alts after pruning (1 fresh and 9 done)

	Pruned	Kept	Total
New	225	0	225
Fresh	0	1	1
Picked	0	1	1
Done	0	8	8
Total	225	10	235

Error

Counts

235 → 10

Alt Table

Click to see full alt table

Status	Error	Program
✓	34.6b	(-.f64 (*.f64 y x) x)
✓	28.4b	(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))
✓	24.8b	(-.f64 918938533204673/1000000000000000 x)
✓	17.0b	(+.f64 (-.f64 1918938533204673/1000000000000000 (-.f64 x -1)) (*.f64 y x))
✓	37.7b	(+.f64 (.f64 y x) (.f64 y -1/2))
✓	37.7b	(*.f64 y (-.f64 x 1/2))
✓	54.2b	(*.f64 y x)
✓	46.3b	(*.f64 -1/2 y)
✓	42.8b	(neg.f64 x)
	44.4b	918938533204673/1000000000000000

Compiler

Compiled 63 to 46 computations (27% saved)

regimes35.0ms (0.7%)

Counts

14 → 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 918938533204673/1000000000000000 (*.f64 1/2 y))
(-.f64 (*.f64 y x) x)
(+.f64 (.f64 y x) (.f64 y -1/2))
(+.f64 (-.f64 1918938533204673/1000000000000000 (-.f64 x -1)) (*.f64 y x))
(+.f64 (-.f64 1918938533204673/1000000000000000 (-.f64 x -1)) (*.f64 y (+.f64 x -1/2)))
(+.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 (-.f64 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) (+.f64 844448027808355901771309036929/1000000000000000000000000000000 (.f64 x (+.f64 918938533204673/1000000000000000 x)))) (.f64 y (+.f64 x -1/2)))

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

Calls

4 calls:

9.0ms	(-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2))
8.0ms	y
8.0ms	x
6.0ms	(+.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 124 to 82 computations (33.9% saved)

regimes17.0ms (0.3%)

Counts

11 → 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 918938533204673/1000000000000000 (*.f64 1/2 y))
(-.f64 (*.f64 y x) x)
(+.f64 (.f64 y x) (.f64 y -1/2))
(+.f64 (-.f64 1918938533204673/1000000000000000 (-.f64 x -1)) (*.f64 y x))
(+.f64 (-.f64 1918938533204673/1000000000000000 (-.f64 x -1)) (*.f64 y (+.f64 x -1/2)))

Outputs
(+.f64 (-.f64 1918938533204673/1000000000000000 (-.f64 x -1)) (*.f64 y (+.f64 x -1/2)))

Calls

2 calls:

8.0ms	x
6.0ms	y

Results

Error	Segments	Branch
0.3b	1	`x`
0.3b	1	`y`

Compiler

Compiled 62 to 37 computations (40.3% saved)

regimes37.0ms (0.7%)

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 918938533204673/1000000000000000 (*.f64 1/2 y))
(-.f64 (*.f64 y x) x)
(+.f64 (.f64 y x) (.f64 y -1/2))
(+.f64 (-.f64 1918938533204673/1000000000000000 (-.f64 x -1)) (*.f64 y x))

Outputs
(+.f64 (.f64 y x) (.f64 y -1/2))
(+.f64 (-.f64 1918938533204673/1000000000000000 (-.f64 x -1)) (*.f64 y x))
(*.f64 y (-.f64 x 1/2))

Calls

2 calls:

18.0ms	y
17.0ms	x

Results

Error	Segments	Branch
0.8b	3	`x`
0.6b	3	`y`

Compiler

Compiled 51 to 29 computations (43.1% saved)

bsearch31.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
13.0ms	84993251.40233366	15580179535.52262
18.0ms	-4638.959286292288	-4.3223953151918557e-7

Results

28.0ms

272×

body

256

valid

Compiler

Compiled 378 to 279 computations (26.2% saved)

regimes41.0ms (0.8%)

Counts

9 → 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 918938533204673/1000000000000000 (*.f64 1/2 y))
(-.f64 (*.f64 y x) x)
(+.f64 (.f64 y x) (.f64 y -1/2))

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

Calls

2 calls:

21.0ms	x
17.0ms	y

Results

Error	Segments	Branch
1.1b	3	`x`
0.7b	3	`y`

Compiler

Compiled 42 to 24 computations (42.9% saved)

bsearch35.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
16.0ms	0.21796647841471914	84993251.40233366
19.0ms	-4638.959286292288	-4.3223953151918557e-7

Results

31.0ms

304×

body

256

valid

Compiler

Compiled 304 to 233 computations (23.4% saved)

regimes34.0ms (0.6%)

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

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

Calls

2 calls:

16.0ms	y
16.0ms	x

Results

Error	Segments	Branch
1.1b	3	`x`
0.7b	3	`y`

Compiler

Compiled 35 to 21 computations (40% saved)

bsearch35.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
16.0ms	0.21796647841471914	84993251.40233366
18.0ms	-4638.959286292288	-4.3223953151918557e-7

Results

30.0ms

304×

body

256

valid

Compiler

Compiled 284 to 223 computations (21.5% saved)

regimes50.0ms (0.9%)

Counts

5 → 4

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

Calls

2 calls:

33.0ms	x
16.0ms	y

Results

Error	Segments	Branch
18.1b	8	`x`
7.6b	4	`y`

Compiler

Compiled 20 to 13 computations (35% saved)

bsearch53.0ms (1%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
18.0ms	1.4073262824106274e+140	9.00047896429075e+146
16.0ms	0.21796647841471914	84993251.40233366
19.0ms	-4638.959286292288	-4.3223953151918557e-7

Results

45.0ms	448×	body	256	valid
2.0ms	26×	body	256	infinite

Compiler

Compiled 354 to 276 computations (22% saved)

regimes55.0ms (1%)

Counts

4 → 8

Calls

Call 1

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

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

Calls

2 calls:

27.0ms	y
27.0ms	x

Results

Error	Segments	Branch
18.7b	8	`x`
18.9b	8	`y`

Compiler

Compiled 17 to 11 computations (35.3% saved)

bsearch85.0ms (1.6%)

Algorithm

7×	binary-search

Steps

Time	Left	Right
15.0ms	0.00010092033326879893	4228.472033266231
12.0ms	3.533443306275326e-21	7.692052413822002e-19
2.0ms	1.5810313570335323e-34	1.6436817730549183e-34
14.0ms	2.1230074106462052e-114	7.8355494500549515e-112
15.0ms	-1.326724377997773e-165	-1.2980277280558776e-170
14.0ms	-7.336026618588483e-49	-9.872046926964703e-53
13.0ms	-33295.79211877295	-0.8454757414454099

Results

74.0ms

800×

body

256

valid

Compiler

Compiled 519 to 456 computations (12.1% saved)

regimes23.0ms (0.4%)

Accuracy

Total -37.2b remaining (-148.2%)

Threshold costs -37.2b (-148.2%)

Counts

2 → 3

Calls

Call 1

Inputs
918938533204673/1000000000000000
(neg.f64 x)

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

Calls

2 calls:

14.0ms	y
8.0ms	x

Results

Error	Segments	Branch
25.1b	3	`x`
36.3b	5	`y`

Compiler

Compiled 11 to 8 computations (27.3% saved)

bsearch29.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
15.0ms	8.526957322442255e-15	6.792564307730464e-7
13.0ms	-33295.79211877295	-0.8454757414454099

Results

25.0ms

272×

body

256

valid

Compiler

Compiled 171 to 150 computations (12.3% saved)

simplify15.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

32×	`+-commutative`
22×	`*-commutative`
18×	`sub-neg`
8×	`neg-mul-1`
8×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	85	421
1	124	421
2	142	421
3	151	421
4	155	421

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 (-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2)) 918938533204673/1000000000000000)
(+.f64 (-.f64 1918938533204673/1000000000000000 (-.f64 x -1)) (*.f64 y (+.f64 x -1/2)))
(if (<=.f64 y -4600) (+.f64 (.f64 y x) (.f64 y -1/2)) (if (<=.f64 y 170000000) (+.f64 (-.f64 1918938533204673/1000000000000000 (-.f64 x -1)) (.f64 y x)) (.f64 y (-.f64 x 1/2))))
(if (<=.f64 y -1643813863990231/1125899906842624) (+.f64 (.f64 y x) (.f64 y -1/2)) (if (<=.f64 y 7656119366529843/4503599627370496) (-.f64 918938533204673/1000000000000000 x) (*.f64 y (-.f64 x 1/2))))
(if (<=.f64 y -6980579422424269/4503599627370496) (.f64 y (-.f64 x 1/2)) (if (<=.f64 y 3/2) (-.f64 918938533204673/1000000000000000 x) (.f64 y (-.f64 x 1/2))))
(if (<=.f64 y -25) (.f64 -1/2 y) (if (<=.f64 y 3715469692580659/2251799813685248) (-.f64 918938533204673/1000000000000000 x) (if (<=.f64 y 365000000000000020580897902833029805205158591147281786631255279120098508218491956940835766276168001357101304962576392004892455406790852476928) (.f64 y x) (*.f64 -1/2 y))))
(if (<=.f64 x -8286623314361713/9007199254740992) (neg.f64 x) (if (<=.f64 x -7279185600130673/53919893334301279589334030174039261347274288845081144962207220498432) 918938533204673/1000000000000000 (if (<=.f64 x -4700623105373/16209045190941378744189093217543598246142368094697019140608036444104112544581672446873855659949624196438272994575393707743731058888327247296433104820757670652582741419537146576896) (.f64 -1/2 y) (if (<=.f64 x 6515773781183915/693167423530203714894603546035770925859109268843954143792619895153655326951406405759993601526034894524347802740350892957243539456) 918938533204673/1000000000000000 (if (<=.f64 x 7482888383134223/46768052394588893382517914646921056628989841375232) (.f64 -1/2 y) (if (<=.f64 x 1687496479023819/2596148429267413814265248164610048) 918938533204673/1000000000000000 (if (<=.f64 x 5854679515581645/9007199254740992) (*.f64 -1/2 y) (neg.f64 x))))))))
(if (<=.f64 x -8286623314361713/9007199254740992) (neg.f64 x) (if (<=.f64 x 1558380939346983/2361183241434822606848) 918938533204673/1000000000000000 (neg.f64 x)))
918938533204673/1000000000000000

Outputs
(+.f64 (-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2)) 918938533204673/1000000000000000)
(+.f64 (-.f64 (.f64 x (+.f64 y -1)) (.f64 y 1/2)) 918938533204673/1000000000000000)
(+.f64 (+.f64 (.f64 x (+.f64 y -1)) (.f64 y -1/2)) 918938533204673/1000000000000000)
(+.f64 (-.f64 1918938533204673/1000000000000000 (-.f64 x -1)) (*.f64 y (+.f64 x -1/2)))
(+.f64 (-.f64 1918938533204673/1000000000000000 (+.f64 x 1)) (*.f64 y (+.f64 x -1/2)))
(+.f64 (+.f64 1918938533204673/1000000000000000 (-.f64 -1 x)) (*.f64 y (+.f64 x -1/2)))
(if (<=.f64 y -4600) (+.f64 (.f64 y x) (.f64 y -1/2)) (if (<=.f64 y 170000000) (+.f64 (-.f64 1918938533204673/1000000000000000 (-.f64 x -1)) (.f64 y x)) (.f64 y (-.f64 x 1/2))))
(if (<=.f64 y -4600) (+.f64 (.f64 x y) (.f64 y -1/2)) (if (<=.f64 y 170000000) (+.f64 (-.f64 1918938533204673/1000000000000000 (+.f64 x 1)) (.f64 x y)) (.f64 y (+.f64 x -1/2))))
(if (<=.f64 y -4600) (+.f64 (.f64 x y) (.f64 y -1/2)) (if (<=.f64 y 170000000) (+.f64 (+.f64 1918938533204673/1000000000000000 (-.f64 -1 x)) (.f64 x y)) (.f64 y (+.f64 x -1/2))))
(if (<=.f64 y -1643813863990231/1125899906842624) (+.f64 (.f64 y x) (.f64 y -1/2)) (if (<=.f64 y 7656119366529843/4503599627370496) (-.f64 918938533204673/1000000000000000 x) (*.f64 y (-.f64 x 1/2))))
(if (<=.f64 y -1643813863990231/1125899906842624) (+.f64 (.f64 x y) (.f64 y -1/2)) (if (<=.f64 y 7656119366529843/4503599627370496) (-.f64 918938533204673/1000000000000000 x) (*.f64 y (+.f64 x -1/2))))
(if (<=.f64 y -6980579422424269/4503599627370496) (.f64 y (-.f64 x 1/2)) (if (<=.f64 y 3/2) (-.f64 918938533204673/1000000000000000 x) (.f64 y (-.f64 x 1/2))))
(if (or (<=.f64 y -6980579422424269/4503599627370496) (not (<=.f64 y 3/2))) (*.f64 y (+.f64 x -1/2)) (-.f64 918938533204673/1000000000000000 x))
(if (<=.f64 y -25) (.f64 -1/2 y) (if (<=.f64 y 3715469692580659/2251799813685248) (-.f64 918938533204673/1000000000000000 x) (if (<=.f64 y 365000000000000020580897902833029805205158591147281786631255279120098508218491956940835766276168001357101304962576392004892455406790852476928) (.f64 y x) (*.f64 -1/2 y))))
(if (<=.f64 y -25) (.f64 y -1/2) (if (<=.f64 y 3715469692580659/2251799813685248) (-.f64 918938533204673/1000000000000000 x) (if (<=.f64 y 365000000000000020580897902833029805205158591147281786631255279120098508218491956940835766276168001357101304962576392004892455406790852476928) (.f64 x y) (*.f64 y -1/2))))
(if (<=.f64 x -8286623314361713/9007199254740992) (neg.f64 x) (if (<=.f64 x -7279185600130673/53919893334301279589334030174039261347274288845081144962207220498432) 918938533204673/1000000000000000 (if (<=.f64 x -4700623105373/16209045190941378744189093217543598246142368094697019140608036444104112544581672446873855659949624196438272994575393707743731058888327247296433104820757670652582741419537146576896) (.f64 -1/2 y) (if (<=.f64 x 6515773781183915/693167423530203714894603546035770925859109268843954143792619895153655326951406405759993601526034894524347802740350892957243539456) 918938533204673/1000000000000000 (if (<=.f64 x 7482888383134223/46768052394588893382517914646921056628989841375232) (.f64 -1/2 y) (if (<=.f64 x 1687496479023819/2596148429267413814265248164610048) 918938533204673/1000000000000000 (if (<=.f64 x 5854679515581645/9007199254740992) (*.f64 -1/2 y) (neg.f64 x))))))))
(if (<=.f64 x -8286623314361713/9007199254740992) (neg.f64 x) (if (<=.f64 x -7279185600130673/53919893334301279589334030174039261347274288845081144962207220498432) 918938533204673/1000000000000000 (if (<=.f64 x -4700623105373/16209045190941378744189093217543598246142368094697019140608036444104112544581672446873855659949624196438272994575393707743731058888327247296433104820757670652582741419537146576896) (.f64 y -1/2) (if (<=.f64 x 6515773781183915/693167423530203714894603546035770925859109268843954143792619895153655326951406405759993601526034894524347802740350892957243539456) 918938533204673/1000000000000000 (if (<=.f64 x 7482888383134223/46768052394588893382517914646921056628989841375232) (.f64 y -1/2) (if (<=.f64 x 1687496479023819/2596148429267413814265248164610048) 918938533204673/1000000000000000 (if (<=.f64 x 5854679515581645/9007199254740992) (*.f64 y -1/2) (neg.f64 x))))))))
(if (<=.f64 x -8286623314361713/9007199254740992) (neg.f64 x) (if (<=.f64 x 1558380939346983/2361183241434822606848) 918938533204673/1000000000000000 (neg.f64 x)))
918938533204673/1000000000000000

Compiler

Compiled 191 to 135 computations (29.3% saved)

soundness0.0ms (0%)

end80.0ms (1.5%)

Compiler: Compiled 175 to 116 computations (33.7% saved)

Details

analyze95.0ms (1.8%)

sample907.0ms (16.9%)

preprocess143.0ms (2.7%)

simplify76.0ms (1.4%)

eval1.0ms (0%)

prune2.0ms (0%)

localize14.0ms (0.3%)

series3.0ms (0.1%)

rewrite157.0ms (2.9%)

simplify272.0ms (5.1%)

localize8.0ms (0.1%)

series2.0ms (0%)

rewrite127.0ms (2.4%)

simplify159.0ms (3%)

eval596.0ms (11.1%)

prune125.0ms (2.3%)

localize29.0ms (0.5%)

series5.0ms (0.1%)

rewrite152.0ms (2.8%)

simplify150.0ms (2.8%)

localize3.0ms (0.1%)

localize5.0ms (0.1%)

series0.0ms (0%)

rewrite52.0ms (1%)

simplify99.0ms (1.8%)

localize5.0ms (0.1%)

localize5.0ms (0.1%)

eval592.0ms (11%)

prune135.0ms (2.5%)

localize13.0ms (0.2%)

series0.0ms (0%)

rewrite104.0ms (1.9%)

simplify69.0ms (1.3%)

localize3.0ms (0.1%)

localize3.0ms (0.1%)

localize3.0ms (0%)

localize8.0ms (0.1%)

series2.0ms (0%)

rewrite86.0ms (1.6%)

simplify62.0ms (1.2%)

eval80.0ms (1.5%)

prune27.0ms (0.5%)

localize12.0ms (0.2%)

series1.0ms (0%)

rewrite89.0ms (1.7%)

simplify94.0ms (1.7%)

eval102.0ms (1.9%)

prune37.0ms (0.7%)

regimes35.0ms (0.7%)

regimes17.0ms (0.3%)

regimes37.0ms (0.7%)

bsearch31.0ms (0.6%)

regimes41.0ms (0.8%)

bsearch35.0ms (0.6%)

regimes34.0ms (0.6%)

bsearch35.0ms (0.7%)

regimes50.0ms (0.9%)

bsearch53.0ms (1%)

regimes55.0ms (1%)

bsearch85.0ms (1.6%)

regimes23.0ms (0.4%)

bsearch29.0ms (0.5%)

simplify15.0ms (0.3%)

soundness0.0ms (0%)

end80.0ms (1.5%)

Profiling