Metrics for Graphics.Rendering.Chart.Axis.Types:hBufferRect from Chart-1.5.3

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 10 to 7 computations (30% 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-div, time spent: 0.0ms, 0.0% of total-time

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

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

sample915.0ms (42.2%)

Results

764.0ms	7759×	256	valid
38.0ms	215×	1024	valid
30.0ms	142×	2048	valid
23.0ms	137×	512	valid
0.0ms	2×	256	infinite
0.0ms	1×	256	valid

Precisions

Click to see histograms. Total time spent on operations: 212.0ms

Operation ival-div, time spent: 74.0ms, 35.0% of total-time

Operation ival-sub, time spent: 69.0ms, 33.0% of total-time

Operation ival-add, time spent: 54.0ms, 26.0% of total-time

Operation const, time spent: 15.0ms, 7.0% of total-time

Bogosity

preprocess208.0ms (9.6%)

Algorithm

1×	egg-herbie

Rules

1078×	`fma-neg`
324×	`fma-define`
132×	`sub-neg`
116×	`distribute-rgt-in`
108×	`cancel-sign-sub-inv`

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`x`
-	-	`(/.f64 (-.f64 x y) 2)`
-	-	`(+.f64 x (/.f64 (-.f64 x y) 2))`
-	-	`(-.f64 x y)`
-	-	`y`
-	-	`2`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	25	220
1	57	196
2	163	196
3	468	178
4	898	147
5	1364	147
6	1606	147
7	1632	147

Stop Event

1×

saturated

Calls

Call 1

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

Outputs
(+.f64 x (/.f64 (-.f64 x y) 2))
(+.f64 (.f64 y -1/2) (.f64 x 3/2))
(fma.f64 x 3/2 (*.f64 y -1/2))
(+.f64 x (/.f64 (-.f64 x y) 2))
(+.f64 (.f64 y -1/2) (.f64 x 3/2))
(fma.f64 x 3/2 (*.f64 y -1/2))
(+.f64 (neg.f64 x) (/.f64 (-.f64 (neg.f64 x) y) 2))
(-.f64 (/.f64 (+.f64 x y) -2) x)
(+.f64 (.f64 y -1/2) (.f64 x -3/2))
(fma.f64 x -3/2 (*.f64 y -1/2))
(+.f64 x (/.f64 (-.f64 x (neg.f64 y)) 2))
(+.f64 x (/.f64 (+.f64 x y) 2))
(+.f64 (.f64 y 1/2) (.f64 x 3/2))
(fma.f64 y 1/2 (*.f64 x 3/2))
(neg.f64 (+.f64 (neg.f64 x) (/.f64 (-.f64 (neg.f64 x) y) 2)))
(+.f64 x (/.f64 (-.f64 x (neg.f64 y)) 2))
(+.f64 x (/.f64 (+.f64 x y) 2))
(+.f64 (.f64 y 1/2) (.f64 x 3/2))
(fma.f64 y 1/2 (*.f64 x 3/2))
(neg.f64 (+.f64 x (/.f64 (-.f64 x (neg.f64 y)) 2)))
(+.f64 (neg.f64 x) (/.f64 (-.f64 (neg.f64 x) y) 2))
(-.f64 (/.f64 (+.f64 x y) -2) x)
(+.f64 (.f64 y -1/2) (.f64 x -3/2))
(fma.f64 x -3/2 (*.f64 y -1/2))
(+.f64 y (/.f64 (-.f64 y x) 2))
(fma.f64 x -1/2 (*.f64 y 3/2))

Compiler

Compiled 51 to 26 computations (49% saved)

Precisions

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

Operation ival-div, time spent: 8.0ms, 44.0% of total-time

Operation ival-sub, time spent: 5.0ms, 28.0% of total-time

Operation ival-add, time spent: 3.0ms, 17.0% of total-time

Operation const, time spent: 2.0ms, 11.0% of total-time

eval1.0ms (0%)

Compiler: Compiled 15 to 11 computations (26.7% saved)

prune2.0ms (0.1%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 x 3/2 (*.f64 y -1/2))
▶	99.9%	(+.f64 (.f64 y -1/2) (.f64 x 3/2))
▶	99.9%	(+.f64 x (/.f64 (-.f64 x y) 2))

Compiler

Compiled 26 to 19 computations (26.9% saved)

localize156.0ms (7.2%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	99.9%	(+.f64 (.f64 y -1/2) (.f64 x 3/2))
✓	99.9%	(+.f64 x (/.f64 (-.f64 x y) 2))

Compiler

Compiled 51 to 29 computations (43.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 96.0ms

Operation ival-mult, time spent: 76.0ms, 79.0% of total-time

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

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

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

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

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

series9.0ms (0.4%)

Counts

2 → 48

Calls

12 calls:

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

rewrite243.0ms (11.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1226×	`fma-define`
1100×	`log-prod`
792×	`log1p-expm1-u`
792×	`expm1-log1p-u`
620×	`fma-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	49
1	212	45
2	3257	45

Stop Event

1×	node limit

Counts

2 → 117

Calls

Call 1

Inputs
(+.f64 x (/.f64 (-.f64 x y) 2))
(+.f64 (.f64 y -1/2) (.f64 x 3/2))

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

simplify125.0ms (5.8%)

Algorithm

1×	egg-herbie

Rules

1094×	`fma-define`
774×	`distribute-lft-in`
764×	`distribute-rgt-in`
500×	`unswap-sqr`
492×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	291	4952
1	732	4842
2	2084	4714
3	7402	4714

Stop Event

1×	node limit

Counts

165 → 139

Calls

Call 1

Inputs
(*.f64 -1/2 y)
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(*.f64 3/2 x)
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(*.f64 3/2 x)
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(+.f64 x (*.f64 1/2 x))
(+.f64 x (+.f64 (.f64 -1/2 y) (.f64 1/2 x)))
(+.f64 x (+.f64 (.f64 -1/2 y) (.f64 1/2 x)))
(+.f64 x (+.f64 (.f64 -1/2 y) (.f64 1/2 x)))
(*.f64 -1/2 y)
(+.f64 x (+.f64 (.f64 -1/2 y) (.f64 1/2 x)))
(+.f64 x (+.f64 (.f64 -1/2 y) (.f64 1/2 x)))
(+.f64 x (+.f64 (.f64 -1/2 y) (.f64 1/2 x)))
(*.f64 -1/2 y)
(+.f64 x (+.f64 (.f64 -1/2 y) (.f64 1/2 x)))
(+.f64 x (+.f64 (.f64 -1/2 y) (.f64 1/2 x)))
(+.f64 x (+.f64 (.f64 -1/2 y) (.f64 1/2 x)))
(*.f64 3/2 x)
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(*.f64 -1/2 y)
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(*.f64 -1/2 y)
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(*.f64 -1/2 y)
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(*.f64 3/2 x)
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(*.f64 3/2 x)
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(+.f64 (.f64 -1/2 y) (.f64 3/2 x))
(-.f64 (.f64 x 1/2) (-.f64 (.f64 y 1/2) x))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (-.f64 x y) 1/2 x))) 1)
(-.f64 (/.f64 (pow.f64 x 2) (-.f64 x (.f64 (-.f64 x y) 1/2))) (/.f64 (.f64 (pow.f64 (-.f64 x y) 2) 1/4) (-.f64 x (*.f64 (-.f64 x y) 1/2))))
(-.f64 (+.f64 x (.f64 x 1/2)) (.f64 y 1/2))
(*.f64 (fma.f64 (-.f64 x y) 1/2 x) 1)
(*.f64 1 (fma.f64 (-.f64 x y) 1/2 x))
(*.f64 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) 2) (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x)))
(*.f64 (sqrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) (sqrt.f64 (fma.f64 (-.f64 x y) 1/2 x)))
(.f64 (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3)) (/.f64 1 (fma.f64 (.f64 (-.f64 x y) 1/2) (-.f64 (*.f64 (-.f64 x y) 1/2) x) (pow.f64 x 2))))
(.f64 (-.f64 (pow.f64 x 2) (.f64 (pow.f64 (-.f64 x y) 2) 1/4)) (/.f64 1 (-.f64 x (*.f64 (-.f64 x y) 1/2))))
(/.f64 1 (/.f64 (fma.f64 (.f64 (-.f64 x y) 1/2) (-.f64 (.f64 (-.f64 x y) 1/2) x) (pow.f64 x 2)) (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3))))
(/.f64 1 (/.f64 (-.f64 x (.f64 (-.f64 x y) 1/2)) (-.f64 (pow.f64 x 2) (.f64 (pow.f64 (-.f64 x y) 2) 1/4))))
(/.f64 (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3)) (fma.f64 (.f64 (-.f64 x y) 1/2) (-.f64 (.f64 (-.f64 x y) 1/2) x) (pow.f64 x 2)))
(/.f64 (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3)) (fma.f64 (pow.f64 (-.f64 x y) 2) 1/4 (-.f64 (pow.f64 x 2) (.f64 x (.f64 (-.f64 x y) 1/2)))))
(/.f64 (-.f64 (pow.f64 x 2) (.f64 (pow.f64 (-.f64 x y) 2) 1/4)) (-.f64 x (.f64 (-.f64 x y) 1/2)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (-.f64 x y) 3) 1/8 (pow.f64 x 3))) (neg.f64 (fma.f64 (.f64 (-.f64 x y) 1/2) (-.f64 (.f64 (-.f64 x y) 1/2) x) (pow.f64 x 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 2) (.f64 (pow.f64 (-.f64 x y) 2) 1/4))) (neg.f64 (-.f64 x (.f64 (-.f64 x y) 1/2))))
(/.f64 (-.f64 (.f64 (pow.f64 (-.f64 x y) 2) 1/4) (pow.f64 x 2)) (-.f64 (.f64 (-.f64 x y) 1/2) x))
(pow.f64 (fma.f64 (-.f64 x y) 1/2 x) 1)
(pow.f64 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) 3)
(pow.f64 (pow.f64 (fma.f64 (-.f64 x y) 1/2 x) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) 2)
(sqrt.f64 (pow.f64 (fma.f64 (-.f64 x y) 1/2 x) 2))
(log.f64 (exp.f64 (fma.f64 (-.f64 x y) 1/2 x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (-.f64 x y) 1/2 x))))
(log.f64 (.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (.f64 (-.f64 x y) 1/2)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (sqrt.f64 (exp.f64 (-.f64 x y)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (.f64 (-.f64 x y) 1/2)))))
(log.f64 (*.f64 (sqrt.f64 (exp.f64 (-.f64 x y))) (+.f64 1 (expm1.f64 x))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 (-.f64 x y) 1/2))) (exp.f64 x)))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 (-.f64 x y) 1/2))) (+.f64 1 (expm1.f64 x))))
(cbrt.f64 (pow.f64 (fma.f64 (-.f64 x y) 1/2 x) 3))
(expm1.f64 (log1p.f64 (fma.f64 (-.f64 x y) 1/2 x)))
(log1p.f64 (expm1.f64 (fma.f64 (-.f64 x y) 1/2 x)))
(exp.f64 (log.f64 (fma.f64 (-.f64 x y) 1/2 x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (-.f64 x y) 1/2 x)) 1))
(fma.f64 x 1 (*.f64 (-.f64 x y) 1/2))
(fma.f64 x 1/2 (neg.f64 (-.f64 (*.f64 y 1/2) x)))
(fma.f64 (-.f64 x y) 1/2 x)
(fma.f64 (*.f64 (-.f64 x y) 1/2) 1 x)
(fma.f64 1 x (*.f64 (-.f64 x y) 1/2))
(fma.f64 1 (*.f64 (-.f64 x y) 1/2) x)
(fma.f64 1 (.f64 x 1/2) (neg.f64 (-.f64 (.f64 y 1/2) x)))
(fma.f64 (cbrt.f64 (.f64 (-.f64 x y) 1/2)) (cbrt.f64 (.f64 (pow.f64 (-.f64 x y) 2) 1/4)) x)
(fma.f64 (cbrt.f64 (.f64 (pow.f64 (-.f64 x y) 2) 1/4)) (cbrt.f64 (.f64 (-.f64 x y) 1/2)) x)
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (*.f64 (cbrt.f64 (-.f64 x y)) 1/2) x)
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (/.f64 (cbrt.f64 (-.f64 x y)) 2) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 (-.f64 x y) 1/2))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (-.f64 x y) 1/2))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 x) 2) (neg.f64 (-.f64 (*.f64 y 1/2) x)))
(fma.f64 (sqrt.f64 (.f64 (-.f64 x y) 1/2)) (sqrt.f64 (.f64 (-.f64 x y) 1/2)) x)
(fma.f64 (sqrt.f64 (-.f64 x y)) (*.f64 (sqrt.f64 (-.f64 x y)) 1/2) x)
(fma.f64 (sqrt.f64 (-.f64 x y)) (/.f64 (sqrt.f64 (-.f64 x y)) 2) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (-.f64 x y) 1/2))
(fma.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) 2) (neg.f64 (-.f64 (*.f64 y 1/2) x)))
(fma.f64 (neg.f64 (-.f64 x y)) -1/2 x)
(fma.f64 1/2 (-.f64 x y) x)
(fma.f64 (.f64 (cbrt.f64 (.f64 x 1/2)) (cbrt.f64 (.f64 x 1/2))) (cbrt.f64 (.f64 x 1/2)) (neg.f64 (-.f64 (*.f64 y 1/2) x)))
(fma.f64 (sqrt.f64 (.f64 x 1/2)) (sqrt.f64 (.f64 x 1/2)) (neg.f64 (-.f64 (*.f64 y 1/2) x)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y -1/2 (*.f64 x 3/2)))) 1)
(-.f64 (/.f64 (.f64 (pow.f64 y 2) 1/4) (fma.f64 y -1/2 (.f64 -3/2 x))) (/.f64 (.f64 (pow.f64 x 2) 9/4) (fma.f64 y -1/2 (.f64 -3/2 x))))
(.f64 (fma.f64 y -1/2 (.f64 x 3/2)) 1)
(.f64 1 (fma.f64 y -1/2 (.f64 x 3/2)))
(.f64 (cbrt.f64 (fma.f64 y -1/2 (.f64 x 3/2))) (pow.f64 (cbrt.f64 (fma.f64 y -1/2 (*.f64 x 3/2))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 y -1/2 (.f64 x 3/2))) 2) (cbrt.f64 (fma.f64 y -1/2 (*.f64 x 3/2))))
(.f64 (sqrt.f64 (fma.f64 y -1/2 (.f64 x 3/2))) (sqrt.f64 (fma.f64 y -1/2 (*.f64 x 3/2))))
(.f64 (fma.f64 (pow.f64 y 3) -1/8 (pow.f64 (.f64 x 3/2) 3)) (/.f64 1 (fma.f64 (.f64 x 3/2) (-.f64 (.f64 x 3/2) (.f64 y -1/2)) (.f64 (pow.f64 y 2) 1/4))))
(.f64 (-.f64 (.f64 (pow.f64 y 2) 1/4) (.f64 (pow.f64 x 2) 9/4)) (/.f64 1 (fma.f64 y -1/2 (.f64 -3/2 x))))
(/.f64 1 (/.f64 (fma.f64 (.f64 x 3/2) (-.f64 (.f64 x 3/2) (.f64 y -1/2)) (.f64 (pow.f64 y 2) 1/4)) (fma.f64 (pow.f64 y 3) -1/8 (pow.f64 (*.f64 x 3/2) 3))))
(/.f64 1 (/.f64 (fma.f64 y -1/2 (.f64 -3/2 x)) (-.f64 (.f64 (pow.f64 y 2) 1/4) (*.f64 (pow.f64 x 2) 9/4))))
(/.f64 (fma.f64 (pow.f64 y 3) -1/8 (pow.f64 (.f64 x 3/2) 3)) (fma.f64 (.f64 x 3/2) (-.f64 (.f64 x 3/2) (.f64 y -1/2)) (*.f64 (pow.f64 y 2) 1/4)))
(/.f64 (fma.f64 (pow.f64 y 3) -1/8 (pow.f64 (.f64 x 3/2) 3)) (fma.f64 (pow.f64 x 2) 9/4 (-.f64 (.f64 (pow.f64 y 2) 1/4) (.f64 y (.f64 -1/2 (*.f64 x 3/2))))))
(/.f64 (-.f64 (.f64 (pow.f64 y 2) 1/4) (.f64 (pow.f64 x 2) 9/4)) (fma.f64 y -1/2 (*.f64 -3/2 x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 y 3) -1/8 (pow.f64 (.f64 x 3/2) 3))) (neg.f64 (fma.f64 (.f64 x 3/2) (-.f64 (.f64 x 3/2) (.f64 y -1/2)) (*.f64 (pow.f64 y 2) 1/4))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 y 2) 1/4) (.f64 (pow.f64 x 2) 9/4))) (neg.f64 (fma.f64 y -1/2 (*.f64 -3/2 x))))
(/.f64 (-.f64 (.f64 (pow.f64 x 2) 9/4) (.f64 (pow.f64 y 2) 1/4)) (-.f64 (.f64 x 3/2) (.f64 y -1/2)))
(pow.f64 (fma.f64 y -1/2 (*.f64 x 3/2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 y -1/2 (*.f64 x 3/2))) 3)
(pow.f64 (pow.f64 (fma.f64 y -1/2 (*.f64 x 3/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 y -1/2 (*.f64 x 3/2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 y -1/2 (*.f64 x 3/2)) 2))
(log.f64 (exp.f64 (fma.f64 y -1/2 (*.f64 x 3/2))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 y -1/2 (*.f64 x 3/2)))))
(log.f64 (.f64 (pow.f64 (exp.f64 y) -1/2) (+.f64 1 (expm1.f64 (.f64 x 3/2)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 y -1/2))) (pow.f64 (exp.f64 3/2) x)))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 y -1/2))) (+.f64 1 (expm1.f64 (*.f64 x 3/2)))))
(log.f64 (.f64 (pow.f64 (exp.f64 3/2) x) (+.f64 1 (expm1.f64 (.f64 y -1/2)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x 3/2))) (pow.f64 (exp.f64 y) -1/2)))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x 3/2))) (+.f64 1 (expm1.f64 (*.f64 y -1/2)))))
(cbrt.f64 (pow.f64 (fma.f64 y -1/2 (*.f64 x 3/2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 y -1/2 (*.f64 x 3/2))))
(log1p.f64 (expm1.f64 (fma.f64 y -1/2 (*.f64 x 3/2))))
(exp.f64 (log.f64 (fma.f64 y -1/2 (*.f64 x 3/2))))
(exp.f64 (.f64 (log.f64 (fma.f64 y -1/2 (.f64 x 3/2))) 1))
(fma.f64 x 3/2 (*.f64 y -1/2))
(fma.f64 y -1/2 (*.f64 x 3/2))
(fma.f64 -1/2 y (*.f64 x 3/2))
(fma.f64 (.f64 y -1/2) 1 (.f64 x 3/2))
(fma.f64 3/2 x (*.f64 y -1/2))
(fma.f64 (.f64 x 3/2) 1 (.f64 y -1/2))
(fma.f64 1 (.f64 y -1/2) (.f64 x 3/2))
(fma.f64 1 (.f64 x 3/2) (.f64 y -1/2))
(fma.f64 (cbrt.f64 (.f64 y -1/2)) (cbrt.f64 (.f64 (pow.f64 y 2) 1/4)) (*.f64 x 3/2))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 y 2) 1/4)) (cbrt.f64 (.f64 y -1/2)) (*.f64 x 3/2))
(fma.f64 (cbrt.f64 (.f64 x 3/2)) (pow.f64 (cbrt.f64 (.f64 x 3/2)) 2) (*.f64 y -1/2))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 3/2)) 2) (cbrt.f64 (.f64 x 3/2)) (*.f64 y -1/2))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) 3/2) (.f64 y -1/2))
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 (cbrt.f64 y) -1/2) (.f64 x 3/2))
(fma.f64 (sqrt.f64 (.f64 y -1/2)) (sqrt.f64 (.f64 y -1/2)) (*.f64 x 3/2))
(fma.f64 (sqrt.f64 (.f64 x 3/2)) (sqrt.f64 (.f64 x 3/2)) (*.f64 y -1/2))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 3/2) (.f64 y -1/2))
(fma.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) -1/2) (.f64 x 3/2))
(fma.f64 (.f64 3/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 y -1/2))
(fma.f64 (.f64 3/2 (sqrt.f64 x)) (sqrt.f64 x) (.f64 y -1/2))
(fma.f64 (.f64 -1/2 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (.f64 x 3/2))
(fma.f64 (.f64 -1/2 (sqrt.f64 y)) (sqrt.f64 y) (.f64 x 3/2))

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

eval42.0ms (1.9%)

Compiler: Compiled 1902 to 1241 computations (34.8% saved)

prune20.0ms (0.9%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	137	2	139
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	137	5	142

Accuracy

100.0%

Counts

142 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 x 3/2 (*.f64 y -1/2))
✓	99.9%	(+.f64 (.f64 y -1/2) (.f64 x 3/2))
✓	99.9%	(+.f64 x (/.f64 (-.f64 x y) 2))
▶	48.3%	(*.f64 3/2 x)
▶	52.9%	(*.f64 -1/2 y)

Compiler

Compiled 36 to 27 computations (25% saved)

localize28.0ms (1.3%)

Compiler: Compiled 13 to 9 computations (30.8% saved)
Precisions: Click to see histograms. Total time spent on operations: 6.0ms
Operation ival-mult, time spent: 5.0ms, 84.0% of total-time
Operation const, time spent: 1.0ms, 17.0% of total-time

eval0.0ms (0%)

Compiler: Compiled 2 to 2 computations (0% saved)

prune3.0ms (0.1%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	2	2
Done	3	3
Total	5	5

Accuracy

100.0%

Counts

5 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 x 3/2 (*.f64 y -1/2))
✓	99.9%	(+.f64 (.f64 y -1/2) (.f64 x 3/2))
✓	99.9%	(+.f64 x (/.f64 (-.f64 x y) 2))
✓	48.3%	(*.f64 3/2 x)
✓	52.9%	(*.f64 -1/2 y)

Compiler

Compiled 64 to 46 computations (28.1% saved)

regimes13.0ms (0.6%)

Counts

5 → 1

Calls

Call 1

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

Outputs
(fma.f64 x 3/2 (*.f64 y -1/2))

Calls

3 calls:

5.0ms	y
4.0ms	(+.f64 x (/.f64 (-.f64 x y) 2))
4.0ms	x

Results

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes12.0ms (0.6%)

Counts

4 → 1

Calls

Call 1

Inputs
(*.f64 -1/2 y)
(*.f64 3/2 x)
(+.f64 x (/.f64 (-.f64 x y) 2))
(+.f64 (.f64 y -1/2) (.f64 x 3/2))

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

Calls

3 calls:

4.0ms	(+.f64 x (/.f64 (-.f64 x y) 2))
4.0ms	x
4.0ms	y

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`y`
99.9%	1	`(+.f64 x (/.f64 (-.f64 x y) 2))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes31.0ms (1.4%)

Counts

2 → 5

Calls

Call 1

Inputs
(*.f64 -1/2 y)
(*.f64 3/2 x)

Outputs
(*.f64 3/2 x)
(*.f64 -1/2 y)
(*.f64 3/2 x)
(*.f64 -1/2 y)
(*.f64 3/2 x)

Calls

2 calls:

18.0ms	y
12.0ms	x

Results

Accuracy	Segments	Branch
78.0%	5	`x`
77.7%	5	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0.3%)

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	x
2.0ms	y

Results

Accuracy	Segments	Branch
52.9%	1	`y`
52.9%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch183.0ms (8.4%)

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
143.0ms	7.729378184160239e+74	1.210273794996312e+79
11.0ms	8.907307853003329e+46	3.2479642463045995e+47
15.0ms	8.731940292953884e-78	1.8545274791676865e-75
14.0ms	-5.410264899675318e+72	-2.394397473549351e+70

Results

41.0ms	388×	256	valid
5.0ms	27×	1024	valid
1.0ms	10×	512	valid
1.0ms	6×	2048	valid
0.0ms	1×	1024	valid

Compiler

Compiled 338 to 280 computations (17.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

Operation ival-sub, time spent: 5.0ms, 41.0% of total-time

Operation ival-div, time spent: 4.0ms, 33.0% of total-time

Operation ival-add, time spent: 3.0ms, 25.0% of total-time

Operation const, time spent: 1.0ms, 8.0% of total-time

simplify8.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

8×	`not-or`
6×	`*-commutative`
6×	`if-not`
6×	`+-commutative`
6×	`not-not`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	33	154
1	44	151
2	52	148
3	60	144
4	65	144
5	69	144
6	70	144
7	71	144

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(fma.f64 x 3/2 (*.f64 y -1/2))
(+.f64 x (/.f64 (-.f64 x y) 2))
(if (<=.f64 x -214999999999999991840577938607508247569671577244209874345958789582159872) (.f64 3/2 x) (if (<=.f64 x 6925922319537253/4074071952668972172536891376818756322102936787331872501272280898708762599526673412366794752) (.f64 -1/2 y) (if (<=.f64 x 240000000000000018635966172278955534691071950848) (.f64 3/2 x) (if (<=.f64 x 2699999999999999982437939155635643091944504069419356079356982133971172196352) (.f64 -1/2 y) (*.f64 3/2 x)))))
(*.f64 -1/2 y)

Outputs
(fma.f64 x 3/2 (*.f64 y -1/2))
(+.f64 x (/.f64 (-.f64 x y) 2))
(if (<=.f64 x -214999999999999991840577938607508247569671577244209874345958789582159872) (.f64 3/2 x) (if (<=.f64 x 6925922319537253/4074071952668972172536891376818756322102936787331872501272280898708762599526673412366794752) (.f64 -1/2 y) (if (<=.f64 x 240000000000000018635966172278955534691071950848) (.f64 3/2 x) (if (<=.f64 x 2699999999999999982437939155635643091944504069419356079356982133971172196352) (.f64 -1/2 y) (*.f64 3/2 x)))))
(if (<=.f64 x -214999999999999991840577938607508247569671577244209874345958789582159872) (.f64 x 3/2) (if (<=.f64 x 6925922319537253/4074071952668972172536891376818756322102936787331872501272280898708762599526673412366794752) (.f64 y -1/2) (if (or (<=.f64 x 240000000000000018635966172278955534691071950848) (not (<=.f64 x 2699999999999999982437939155635643091944504069419356079356982133971172196352))) (.f64 x 3/2) (.f64 y -1/2))))
(if (<=.f64 x -214999999999999991840577938607508247569671577244209874345958789582159872) (.f64 x 3/2) (if (or (<=.f64 x 6925922319537253/4074071952668972172536891376818756322102936787331872501272280898708762599526673412366794752) (not (or (<=.f64 x 240000000000000018635966172278955534691071950848) (not (<=.f64 x 2699999999999999982437939155635643091944504069419356079356982133971172196352))))) (.f64 y -1/2) (*.f64 x 3/2)))
(if (or (<=.f64 x -214999999999999991840577938607508247569671577244209874345958789582159872) (not (or (<=.f64 x 6925922319537253/4074071952668972172536891376818756322102936787331872501272280898708762599526673412366794752) (not (or (<=.f64 x 240000000000000018635966172278955534691071950848) (not (<=.f64 x 2699999999999999982437939155635643091944504069419356079356982133971172196352))))))) (.f64 x 3/2) (.f64 y -1/2))
(if (or (<=.f64 x -214999999999999991840577938607508247569671577244209874345958789582159872) (not (or (<=.f64 x 6925922319537253/4074071952668972172536891376818756322102936787331872501272280898708762599526673412366794752) (and (not (<=.f64 x 240000000000000018635966172278955534691071950848)) (<=.f64 x 2699999999999999982437939155635643091944504069419356079356982133971172196352))))) (.f64 x 3/2) (.f64 y -1/2))
(*.f64 -1/2 y)
(*.f64 y -1/2)

Compiler

Compiled 48 to 36 computations (25% saved)

soundness108.0ms (5%)

Rules

1078×	`fma-neg`
324×	`fma-define`
132×	`sub-neg`
116×	`distribute-rgt-in`
108×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	25	220
1	57	196
2	163	196
3	468	178
4	898	147
5	1364	147
6	1606	147
7	1632	147

Stop Event

1×

saturated

Compiler

Compiled 207 to 152 computations (26.6% saved)

end0.0ms (0%)

preprocess55.0ms (2.6%)

Compiler: Compiled 120 to 86 computations (28.3% saved)

analyze0.0ms (0%)

sample915.0ms (42.2%)

preprocess208.0ms (9.6%)

eval1.0ms (0%)

prune2.0ms (0.1%)

localize156.0ms (7.2%)

series9.0ms (0.4%)

rewrite243.0ms (11.2%)

simplify125.0ms (5.8%)

eval42.0ms (1.9%)

prune20.0ms (0.9%)

localize28.0ms (1.3%)

eval0.0ms (0%)

prune3.0ms (0.1%)

regimes13.0ms (0.6%)

regimes12.0ms (0.6%)

regimes31.0ms (1.4%)

regimes5.0ms (0.3%)

bsearch183.0ms (8.4%)

simplify8.0ms (0.4%)

soundness108.0ms (5%)

end0.0ms (0%)

preprocess55.0ms (2.6%)

Profiling