Metrics for Numeric.SpecFunctions:logGamma from math-functions-0.1.5.2, A

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 14 to 11 computations (21.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

Operation ival-sub, time spent: 0.0ms, 0.0% of total-time

Operation ival-add, time spent: 0.0ms, 0.0% of total-time

Operation ival-mult, time spent: 0.0ms, 0.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

sample1.3s (24.6%)

Results

1.1s	7220×	valid
123.0ms	1035×	infinite
0.0ms	1×	valid

Precisions

Click to see histograms. Total time spent on operations: 426.0ms

Operation ival-mult, time spent: 201.0ms, 47.0% of total-time

Operation ival-sub, time spent: 156.0ms, 37.0% of total-time

Operation ival-add, time spent: 44.0ms, 10.0% of total-time

Operation const, time spent: 20.0ms, 5.0% of total-time

Operation backward-pass, time spent: 4.0ms, 1.0% of total-time

Bogosity

preprocess537.0ms (10.1%)

Algorithm

1×	egg-herbie

Rules

4330×	`fma-neg`
824×	`sub-neg`
800×	`fma-define`
534×	`unsub-neg`
478×	`associate-+l-`

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`x`
-	-	`y`
-	-	`1/2`
-	-	`(*.f64 x (-.f64 y 1))`
-	-	`(-.f64 y 1)`
-	-	`918938533204673/1000000000000000`
-	-	`(*.f64 y 1/2)`
-	-	`1`
-	-	`(-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2))`
-	-	`(+.f64 (-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2)) 918938533204673/1000000000000000)`

Iterations

Useful iterations: 13 (0.0ms)

Iter	Nodes	Cost
0	33	304
1	98	264
2	250	236
3	786	224
4	2305	224
5	3811	224
6	4343	224
7	4478	224
8	4504	224
9	4508	224
10	4561	224
11	4621	224
12	4645	224
13	4645	210
14	6612	210
15	6612	210
16	6612	210

Stop Event

1×

saturated

Calls

Call 1

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

Compiler

Compiled 91 to 64 computations (29.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

Operation ival-sub, time spent: 21.0ms, 43.0% of total-time

Operation ival-mult, time spent: 21.0ms, 43.0% of total-time

Operation ival-add, time spent: 3.0ms, 6.0% of total-time

Operation const, time spent: 3.0ms, 6.0% of total-time

eval1.0ms (0%)

Compiler: Compiled 40 to 28 computations (30% saved)

prune2.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
▶	100.0%	(-.f64 (.f64 x (+.f64 y -1)) (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000))

Compiler

Compiled 23 to 17 computations (26.1% saved)

localize85.0ms (1.6%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	100.0%	(-.f64 (.f64 x (+.f64 y -1)) (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000))
✓	100.0%	(*.f64 x (+.f64 y -1))

Compiler

Compiled 53 to 36 computations (32.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

Operation ival-mult, time spent: 11.0ms, 35.0% of total-time

Operation ival-add, time spent: 8.0ms, 25.0% of total-time

Operation ival-sub, time spent: 7.0ms, 22.0% of total-time

Operation composed, time spent: 4.0ms, 13.0% of total-time

Operation const, time spent: 2.0ms, 6.0% of total-time

series12.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(*.f64 x (+.f64 y -1))
1.0ms	y	@	-inf	(*.f64 x (+.f64 y -1))
1.0ms	x	@	inf	(*.f64 x (+.f64 y -1))
1.0ms	x	@	-inf	(*.f64 x (+.f64 y -1))
1.0ms	x	@	inf	(-.f64 (.f64 x (+.f64 y -1)) (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000))

rewrite239.0ms (4.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1252×	`fma-define`
1113×	`log1p-expm1-u`
1113×	`expm1-log1p-u`
672×	`fma-neg`
138×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	55
1	197	55
2	2967	55

Stop Event

1×	node limit

Counts

2 → 169

Calls

Call 1

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

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

simplify133.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

1262×	`distribute-lft-in`
1064×	`fma-neg`
772×	`unswap-sqr`
762×	`times-frac`
624×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	353	8663
1	885	7802
2	2695	7553

Stop Event

1×	node limit

Counts

217 → 207

Calls

Call 1

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

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

eval87.0ms (1.6%)

Compiler: Compiled 4065 to 2806 computations (31% saved)

prune30.0ms (0.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	203	4	207
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	204	5	209

Accuracy

100.0%

Counts

209 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 (.f64 x (+.f64 y -1)) (-.f64 (.f64 y 1/2) 918938533204673/1000000000000000))
▶	48.2%	(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))
▶	49.1%	(-.f64 918938533204673/1000000000000000 x)
▶	100.0%	(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y (+.f64 x -1/2)) x))
▶	52.7%	(*.f64 y (-.f64 x 1/2))

Compiler

Compiled 43 to 33 computations (23.3% saved)

localize91.0ms (1.7%)

Localize:

Found 3 expressions with local error:

New	Accuracy	Program
✓	100.0%	(-.f64 (*.f64 y (+.f64 x -1/2)) x)
✓	100.0%	(*.f64 y (+.f64 x -1/2))
✓	100.0%	(*.f64 y (-.f64 x 1/2))

Compiler

Compiled 58 to 37 computations (36.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

Operation ival-mult, time spent: 11.0ms, 34.0% of total-time

Operation ival-add, time spent: 10.0ms, 31.0% of total-time

Operation ival-sub, time spent: 9.0ms, 28.0% of total-time

Operation const, time spent: 2.0ms, 6.0% of total-time

series14.0ms (0.3%)

Counts

3 → 60

Calls

18 calls:

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

rewrite117.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1802×	`prod-diff`
811×	`log1p-expm1-u`
811×	`expm1-log1p-u`
738×	`fma-define`
704×	`log-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	66
1	192	66
2	2248	66

Stop Event

1×	node limit

Counts

3 → 233

Calls

Call 1

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

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

simplify129.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1236×	`fma-neg`
968×	`times-frac`
856×	`unswap-sqr`
688×	`associate-+l+`
664×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	373	8728
1	908	8471
2	2847	8328

Stop Event

1×	node limit

Counts

293 → 214

Calls

Call 1

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

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

eval76.0ms (1.4%)

Compiler: Compiled 3356 to 2096 computations (37.5% saved)

prune33.0ms (0.6%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	211	3	214
Fresh	0	0	0
Picked	0	4	4
Done	1	0	1
Total	212	7	219

Accuracy

100.0%

Counts

219 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	48.2%	(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))
✓	49.1%	(-.f64 918938533204673/1000000000000000 x)
✓	100.0%	(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y (+.f64 x -1/2)) x))
▶	76.8%	(+.f64 918938533204673/1000000000000000 (*.f64 x (-.f64 y 1)))
✓	52.7%	(*.f64 y (-.f64 x 1/2))
▶	29.9%	(*.f64 y x)
▶	25.4%	(*.f64 -1/2 y)

Compiler

Compiled 49 to 37 computations (24.5% saved)

localize53.0ms (1%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	100.0%	(*.f64 x (-.f64 y 1))

Compiler

Compiled 32 to 19 computations (40.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

Operation ival-mult, time spent: 7.0ms, 47.0% of total-time

Operation ival-sub, time spent: 5.0ms, 33.0% of total-time

Operation ival-add, time spent: 1.0ms, 7.0% of total-time

Operation const, time spent: 1.0ms, 7.0% of total-time

series3.0ms (0.1%)

Counts

1 → 12

Calls

6 calls:

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

rewrite69.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

780×	`unpow-prod-down`
436×	`log-prod`
432×	`log1p-expm1-u`
432×	`expm1-log1p-u`
420×	`cbrt-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	19
1	104	19
2	1234	19

Stop Event

1×	node limit

Counts

1 → 29

Calls

Call 1

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

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

simplify80.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1432×	`log-prod`
1190×	`fma-neg`
722×	`associate-r`
636×	`associate-l`
466×	`exp-sum`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	90	1014
1	209	978
2	596	978
3	3676	978
4	6489	978

Stop Event

1×	node limit

Counts

41 → 43

Calls

Call 1

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

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

eval12.0ms (0.2%)

Compiler: Compiled 513 to 388 computations (24.4% saved)

prune11.0ms (0.2%)

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	43	0	43
Fresh	0	0	0
Picked	0	3	3
Done	0	4	4
Total	43	7	50

Accuracy

100.0%

Counts

50 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	48.2%	(-.f64 918938533204673/1000000000000000 (*.f64 1/2 y))
✓	49.1%	(-.f64 918938533204673/1000000000000000 x)
✓	100.0%	(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y (+.f64 x -1/2)) x))
✓	76.8%	(+.f64 918938533204673/1000000000000000 (*.f64 x (-.f64 y 1)))
✓	52.7%	(*.f64 y (-.f64 x 1/2))
✓	29.9%	(*.f64 y x)
✓	25.4%	(*.f64 -1/2 y)

Compiler

Compiled 116 to 83 computations (28.4% saved)

regimes29.0ms (0.6%)

Counts

10 → 1

Calls

Call 1

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

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

Calls

4 calls:

10.0ms	(+.f64 (-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2)) 918938533204673/1000000000000000)
7.0ms	x
6.0ms	y
6.0ms	(-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(+.f64 (-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2)) 918938533204673/1000000000000000)`
100.0%	1	`(-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2))`

Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes24.0ms (0.5%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

4 calls:

6.0ms	y
6.0ms	(-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2))
6.0ms	x
5.0ms	(+.f64 (-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2)) 918938533204673/1000000000000000)

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(+.f64 (-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2)) 918938533204673/1000000000000000)`
100.0%	1	`(-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2))`

Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes29.0ms (0.6%)

Counts

6 → 3

Calls

Call 1

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

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

Calls

2 calls:

15.0ms	x
14.0ms	y

Results

Accuracy	Segments	Branch
99.3%	3	`x`
99.4%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes42.0ms (0.8%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

2 calls:

29.0ms	x
13.0ms	y

Results

Accuracy	Segments	Branch
83.6%	7	`x`
98.4%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes14.0ms (0.3%)

Counts

3 → 4

Calls

Call 1

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

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

Calls

1 calls:

13.0ms

Results

Accuracy	Segments	Branch
79.4%	4	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes19.0ms (0.4%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

2 calls:

9.0ms	y
9.0ms	x

Results

Accuracy	Segments	Branch
52.3%	3	`x`
33.6%	2	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes6.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 -1/2 y)

Outputs
(*.f64 -1/2 y)

Calls

2 calls:

3.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
25.4%	1	`y`
25.4%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch38.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	1616.995011460779	1424007.4140398637
18.0ms	-68586143768563220.0	-2761941468913.942

Results

30.0ms	250×	valid
1.0ms	5×	infinite
0.0ms	1×	valid

Compiler

Compiled 306 to 238 computations (22.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

Operation ival-mult, time spent: 4.0ms, 46.0% of total-time

Operation ival-sub, time spent: 3.0ms, 34.0% of total-time

Operation ival-add, time spent: 1.0ms, 11.0% of total-time

Operation const, time spent: 1.0ms, 11.0% of total-time

Operation backward-pass, time spent: 0.0ms, 0.0% of total-time

bsearch44.0ms (0.8%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
23.0ms	1.0194406993906448e-10	1616.995011460779
21.0ms	-1307520.0137611472	-0.06477503782631339

Results

37.0ms	303×	0	valid
0.0ms	1×	0	valid

Compiler

Compiled 284 to 223 computations (21.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

Operation ival-sub, time spent: 4.0ms, 39.0% of total-time

Operation ival-mult, time spent: 4.0ms, 39.0% of total-time

Operation ival-add, time spent: 2.0ms, 19.0% of total-time

Operation const, time spent: 1.0ms, 10.0% of total-time

Operation backward-pass, time spent: 0.0ms, 0.0% of total-time

bsearch62.0ms (1.2%)

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
23.0ms	1.0194406993906448e-10	1616.995011460779
21.0ms	-1307520.0137611472	-0.06477503782631339
18.0ms	-7.254112041823731e+51	-6.062641057019536e+47

Results

50.0ms	423×	valid
1.0ms	8×	infinite
0.0ms	1×	valid

Compiler

Compiled 342 to 257 computations (24.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

Operation ival-sub, time spent: 7.0ms, 38.0% of total-time

Operation ival-mult, time spent: 6.0ms, 33.0% of total-time

Operation ival-add, time spent: 4.0ms, 22.0% of total-time

Operation const, time spent: 1.0ms, 5.0% of total-time

Operation backward-pass, time spent: 0.0ms, 0.0% of total-time

bsearch40.0ms (0.8%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	1.3598082695780337e-10	2.0219147970782807e-5
20.0ms	-2.6790863941257903e+26	-11145198680825293000.0

Results

33.0ms	281×	valid
1.0ms	6×	infinite
0.0ms	1×	valid

Compiler

Compiled 234 to 176 computations (24.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

Operation ival-mult, time spent: 5.0ms, 46.0% of total-time

Operation ival-sub, time spent: 4.0ms, 37.0% of total-time

Operation ival-add, time spent: 1.0ms, 9.0% of total-time

Operation const, time spent: 1.0ms, 9.0% of total-time

Operation backward-pass, time spent: 0.0ms, 0.0% of total-time

simplify12.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

24×	`unsub-neg`
20×	`+-commutative`
16×	`*-commutative`
16×	`neg-mul-1`
14×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	339
1	89	339
2	100	339
3	109	339
4	122	339
5	143	339

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y (+.f64 x -1/2)) x))
(if (<=.f64 y -2800000000000) (.f64 y (-.f64 x 1/2)) (if (<=.f64 y 900000) (+.f64 918938533204673/1000000000000000 (.f64 x (-.f64 y 1))) (*.f64 y (-.f64 x 1/2))))
(if (<=.f64 y -3039929748475085/2251799813685248) (.f64 y (-.f64 x 1/2)) (if (<=.f64 y 4728779608739021/4503599627370496) (-.f64 918938533204673/1000000000000000 x) (.f64 y (-.f64 x 1/2))))
(if (<=.f64 y -11000000000000000320044996666624807509396513882112) (.f64 -1/2 y) (if (<=.f64 y -310) (.f64 y x) (if (<=.f64 y 1) (-.f64 918938533204673/1000000000000000 x) (*.f64 y x))))
(if (<=.f64 x -11500000000000000000) (.f64 y x) (if (<=.f64 x 5902958103587057/295147905179352825856) (.f64 -1/2 y) (*.f64 y x)))
(*.f64 -1/2 y)

Outputs
(fma.f64 y (+.f64 x -1/2) (-.f64 918938533204673/1000000000000000 x))
(+.f64 918938533204673/1000000000000000 (-.f64 (*.f64 y (+.f64 x -1/2)) x))
(if (<=.f64 y -2800000000000) (.f64 y (-.f64 x 1/2)) (if (<=.f64 y 900000) (+.f64 918938533204673/1000000000000000 (.f64 x (-.f64 y 1))) (*.f64 y (-.f64 x 1/2))))
(if (or (<=.f64 y -2800000000000) (not (<=.f64 y 900000))) (.f64 y (-.f64 x 1/2)) (+.f64 918938533204673/1000000000000000 (.f64 x (-.f64 y 1))))
(if (or (<=.f64 y -2800000000000) (not (<=.f64 y 900000))) (.f64 y (-.f64 x 1/2)) (+.f64 918938533204673/1000000000000000 (.f64 x (+.f64 y -1))))
(if (<=.f64 y -3039929748475085/2251799813685248) (.f64 y (-.f64 x 1/2)) (if (<=.f64 y 4728779608739021/4503599627370496) (-.f64 918938533204673/1000000000000000 x) (.f64 y (-.f64 x 1/2))))
(if (or (<=.f64 y -3039929748475085/2251799813685248) (not (<=.f64 y 4728779608739021/4503599627370496))) (*.f64 y (-.f64 x 1/2)) (-.f64 918938533204673/1000000000000000 x))
(if (<=.f64 y -11000000000000000320044996666624807509396513882112) (.f64 -1/2 y) (if (<=.f64 y -310) (.f64 y x) (if (<=.f64 y 1) (-.f64 918938533204673/1000000000000000 x) (*.f64 y x))))
(if (<=.f64 y -11000000000000000320044996666624807509396513882112) (.f64 y -1/2) (if (or (<=.f64 y -310) (not (<=.f64 y 1))) (.f64 y x) (-.f64 918938533204673/1000000000000000 x)))
(if (<=.f64 x -11500000000000000000) (.f64 y x) (if (<=.f64 x 5902958103587057/295147905179352825856) (.f64 -1/2 y) (*.f64 y x)))
(if (or (<=.f64 x -11500000000000000000) (not (<=.f64 x 5902958103587057/295147905179352825856))) (.f64 y x) (.f64 y -1/2))
(*.f64 -1/2 y)
(*.f64 y -1/2)

Compiler

Compiled 109 to 79 computations (27.5% saved)

soundness1.7s (32.2%)

Rules

4330×	`fma-neg`
4330×	`fma-neg`
1262×	`distribute-lft-in`
1262×	`distribute-lft-in`
1236×	`fma-neg`

Iterations

Useful iterations: 13 (0.0ms)

Iter	Nodes	Cost
0	33	304
1	98	264
2	250	236
3	786	224
4	2305	224
5	3811	224
6	4343	224
7	4478	224
8	4504	224
9	4508	224
10	4561	224
11	4621	224
12	4645	224
13	4645	210
14	6612	210
15	6612	210
16	6612	210
0	33	304
1	98	264
2	250	236
3	786	224
4	2305	224
5	3811	224
6	4343	224
7	4478	224
8	4504	224
9	4508	224
10	4561	224
11	4621	224
12	4645	224
13	4645	210
14	6612	210
15	6612	210
16	6612	210
0	373	8728
1	908	8471
2	2847	8328
0	353	8663
1	885	7802
2	2695	7553
0	353	8663
1	885	7802
2	2695	7553

Stop Event

1×	node limit
1×	node limit
1×	node limit
1×	saturated
1×	saturated

Compiler

Compiled 509 to 326 computations (36% saved)

end0.0ms (0%)

preprocess111.0ms (2.1%)

Compiler: Compiled 220 to 152 computations (30.9% saved)

analyze0.0ms (0%)

sample1.3s (24.6%)

preprocess537.0ms (10.1%)

eval1.0ms (0%)

prune2.0ms (0%)

localize85.0ms (1.6%)

series12.0ms (0.2%)

rewrite239.0ms (4.5%)

simplify133.0ms (2.5%)

eval87.0ms (1.6%)

prune30.0ms (0.6%)

localize91.0ms (1.7%)

series14.0ms (0.3%)

rewrite117.0ms (2.2%)

simplify129.0ms (2.4%)

eval76.0ms (1.4%)

prune33.0ms (0.6%)

localize53.0ms (1%)

series3.0ms (0.1%)

rewrite69.0ms (1.3%)

simplify80.0ms (1.5%)

eval12.0ms (0.2%)

prune11.0ms (0.2%)

regimes29.0ms (0.6%)

regimes24.0ms (0.5%)

regimes29.0ms (0.6%)

regimes42.0ms (0.8%)

regimes14.0ms (0.3%)

regimes19.0ms (0.4%)

regimes6.0ms (0.1%)

bsearch38.0ms (0.7%)

bsearch44.0ms (0.8%)

bsearch62.0ms (1.2%)

bsearch40.0ms (0.8%)

simplify12.0ms (0.2%)

soundness1.7s (32.2%)

end0.0ms (0%)

preprocess111.0ms (2.1%)

Profiling