Metrics for FRP.Yampa.Vector3:vector3Rho from Yampa-0.10.2

analyze2.0ms (0.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
100%	99.9%	0%	0.1%	0%	0%	0%	4

Compiler

Compiled 16 to 10 computations (37.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

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

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

sample1.4s (53.6%)

Results

1.3s	8255×	256	valid
0.0ms	1×	256	valid

Precisions

Click to see histograms. Total time spent on operations: 443.0ms

Operation ival-mult, time spent: 195.0ms, 44.0% of total-time

Operation ival-sqrt, time spent: 131.0ms, 30.0% of total-time

Operation ival-add, time spent: 107.0ms, 24.0% of total-time

Operation const, time spent: 10.0ms, 2.0% of total-time

Bogosity

preprocess165.0ms (6.4%)

Algorithm

1×	egg-herbie

Rules

424×	`fma-neg`
234×	`fma-define`
90×	`unsub-neg`
62×	`neg-sub0`
60×	`sub-neg`

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
158	-	-	`(sqrt.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)))`
0	-	-	`x`
0	-	-	`(*.f64 y y)`
0	-	-	`(*.f64 z z)`
0	-	-	`y`
0	-	-	`(+.f64 (.f64 x x) (.f64 y y))`
0	-	-	`(+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`
0	-	-	`(*.f64 x x)`
0	-	-	`z`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	42	551
1	84	507
2	176	507
3	391	507
4	675	507
5	825	507
6	841	507

Stop Event

1×

saturated

Calls

Call 1

Inputs
(sqrt.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)))
(sqrt.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)))
(sqrt.f64 (+.f64 (+.f64 (.f64 (neg.f64 x) (neg.f64 x)) (.f64 y y)) (*.f64 z z)))
(sqrt.f64 (+.f64 (+.f64 (.f64 x x) (.f64 (neg.f64 y) (neg.f64 y))) (*.f64 z z)))
(sqrt.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 (neg.f64 z) (neg.f64 z))))
(neg.f64 (sqrt.f64 (+.f64 (+.f64 (.f64 (neg.f64 x) (neg.f64 x)) (.f64 y y)) (*.f64 z z))))
(neg.f64 (sqrt.f64 (+.f64 (+.f64 (.f64 x x) (.f64 (neg.f64 y) (neg.f64 y))) (*.f64 z z))))
(neg.f64 (sqrt.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 (neg.f64 z) (neg.f64 z)))))
(sqrt.f64 (+.f64 (+.f64 (.f64 y y) (.f64 x x)) (*.f64 z z)))
(sqrt.f64 (+.f64 (+.f64 (.f64 z z) (.f64 y y)) (*.f64 x x)))
(sqrt.f64 (+.f64 (+.f64 (.f64 x x) (.f64 z z)) (*.f64 y y)))

Outputs
(sqrt.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)))
(sqrt.f64 (+.f64 (.f64 x x) (fma.f64 z z (.f64 y y))))
(sqrt.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z))))
(sqrt.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)))
(sqrt.f64 (+.f64 (.f64 x x) (fma.f64 z z (.f64 y y))))
(sqrt.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z))))
(sqrt.f64 (+.f64 (+.f64 (.f64 (neg.f64 x) (neg.f64 x)) (.f64 y y)) (*.f64 z z)))
(sqrt.f64 (+.f64 (.f64 x x) (fma.f64 z z (.f64 y y))))
(sqrt.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z))))
(sqrt.f64 (+.f64 (+.f64 (.f64 x x) (.f64 (neg.f64 y) (neg.f64 y))) (*.f64 z z)))
(sqrt.f64 (+.f64 (.f64 x x) (fma.f64 z z (.f64 y y))))
(sqrt.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z))))
(sqrt.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 (neg.f64 z) (neg.f64 z))))
(sqrt.f64 (+.f64 (.f64 x x) (fma.f64 z z (.f64 y y))))
(sqrt.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z))))
(neg.f64 (sqrt.f64 (+.f64 (+.f64 (.f64 (neg.f64 x) (neg.f64 x)) (.f64 y y)) (*.f64 z z))))
(neg.f64 (sqrt.f64 (+.f64 (.f64 x x) (fma.f64 z z (.f64 y y)))))
(neg.f64 (sqrt.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z)))))
(neg.f64 (sqrt.f64 (+.f64 (+.f64 (.f64 x x) (.f64 (neg.f64 y) (neg.f64 y))) (*.f64 z z))))
(neg.f64 (sqrt.f64 (+.f64 (.f64 x x) (fma.f64 z z (.f64 y y)))))
(neg.f64 (sqrt.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z)))))
(neg.f64 (sqrt.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 (neg.f64 z) (neg.f64 z)))))
(neg.f64 (sqrt.f64 (+.f64 (.f64 x x) (fma.f64 z z (.f64 y y)))))
(neg.f64 (sqrt.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z)))))
(sqrt.f64 (+.f64 (+.f64 (.f64 y y) (.f64 x x)) (*.f64 z z)))
(sqrt.f64 (+.f64 (.f64 x x) (fma.f64 z z (.f64 y y))))
(sqrt.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z))))
(sqrt.f64 (+.f64 (+.f64 (.f64 z z) (.f64 y y)) (*.f64 x x)))
(sqrt.f64 (+.f64 (.f64 x x) (fma.f64 z z (.f64 y y))))
(sqrt.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z))))
(sqrt.f64 (+.f64 (+.f64 (.f64 x x) (.f64 z z)) (*.f64 y y)))
(sqrt.f64 (+.f64 (.f64 x x) (fma.f64 z z (.f64 y y))))
(sqrt.f64 (fma.f64 y y (fma.f64 x x (*.f64 z z))))

Symmetry

(abs x)

(abs y)

(abs z)

(sort x y z)

Compiler

Compiled 107 to 29 computations (72.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

Operation ival-mult, time spent: 10.0ms, 40.0% of total-time

Operation ival-add, time spent: 7.0ms, 28.0% of total-time

Operation ival-sqrt, time spent: 7.0ms, 28.0% of total-time

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

eval1.0ms (0%)

Compiler: Compiled 24 to 12 computations (50% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	42.7%	(sqrt.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)))

Compiler

Compiled 15 to 9 computations (40% saved)

localize190.0ms (7.4%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	100.0%	(+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))
✓	42.7%	(sqrt.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)))

Compiler

Compiled 46 to 10 computations (78.3% saved)

Precisions

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

Operation ival-mult, time spent: 5.0ms, 42.0% of total-time

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

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

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

series23.0ms (0.9%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
5.0ms	x	@	inf	(sqrt.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)))
2.0ms	y	@	0	(sqrt.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)))
2.0ms	x	@	0	(sqrt.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)))
2.0ms	z	@	0	(sqrt.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)))
1.0ms	x	@	0	(+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))

rewrite232.0ms (9.1%)

Algorithm

1×	batch-egg-rewrite

Rules

974×	`fma-define`
971×	`log1p-expm1-u`
971×	`expm1-log1p-u`
874×	`log-prod`
458×	`fma-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	82
1	208	50
2	2762	50

Stop Event

1×	node limit

Counts

2 → 127

Calls

Call 1

Inputs
(sqrt.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)))
(+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))

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

eval79.0ms (3.1%)

Compiler: Compiled 3540 to 2319 computations (34.5% saved)

prune87.0ms (3.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	197	2	199
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	197	3	200

Accuracy

100.0%

Counts

200 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(hypot.f64 (hypot.f64 y z) x)
✓	42.7%	(sqrt.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)))
▶	98.6%	z

Compiler

Compiled 27 to 17 computations (37% saved)

localize44.0ms (1.7%)

Compiler: Compiled 16 to 6 computations (62.5% saved)
Precisions: Click to see histograms. Total time spent on operations: 39.0ms
Operation composed, time spent: 21.0ms, 54.0% of total-time
Operation ival-mult, time spent: 8.0ms, 21.0% of total-time
Operation ival-sqrt, time spent: 7.0ms, 18.0% of total-time
Operation ival-add, time spent: 3.0ms, 8.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

eval0.0ms (0%)

Compiler: Compiled 3 to 3 computations (0% saved)

prune2.0ms (0.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

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

Accuracy

100.0%

Counts

3 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(hypot.f64 (hypot.f64 y z) x)
✓	42.7%	(sqrt.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)))
✓	98.6%	z

Compiler

Compiled 48 to 28 computations (41.7% saved)

regimes28.0ms (1.1%)

Counts

3 → 1

Calls

Call 1

Inputs
z
(sqrt.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)))
(hypot.f64 (hypot.f64 y z) x)

Outputs
(hypot.f64 (hypot.f64 y z) x)

Calls

9 calls:

4.0ms	(+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))
3.0ms	z
3.0ms	x
3.0ms	y
3.0ms	(+.f64 (.f64 x x) (.f64 y y))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`
100.0%	1	`(sqrt.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)))`
100.0%	1	`(+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`
100.0%	1	`(+.f64 (.f64 x x) (.f64 y y))`
100.0%	1	`(*.f64 x x)`
100.0%	1	`(*.f64 y y)`
100.0%	1	`(*.f64 z z)`

Compiler

Compiled 69 to 44 computations (36.2% saved)

regimes33.0ms (1.3%)

Accuracy

Total -36.0b remaining (-4126.2%)

Threshold costs -36b (-4126.2%)

Stop Event

1×

done

Counts

2 → 1

Calls

Call 1

Inputs
z
(sqrt.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)))

Outputs
z

Calls

9 calls:

10.0ms	(sqrt.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)))
3.0ms	z
3.0ms	x
3.0ms	y
3.0ms	(+.f64 (.f64 x x) (.f64 y y))

Results

Accuracy	Segments	Branch
98.6%	1	`x`
98.6%	1	`y`
98.6%	1	`z`
98.6%	1	`(sqrt.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z)))`
98.6%	1	`(+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`
98.6%	1	`(+.f64 (.f64 x x) (.f64 y y))`
98.6%	1	`(*.f64 x x)`
98.6%	1	`(*.f64 y y)`
98.6%	1	`(*.f64 z z)`

Compiler

Compiled 81 to 52 computations (35.8% saved)

soundness122.0ms (4.8%)

Rules

974×	`fma-define`
971×	`log1p-expm1-u`
971×	`expm1-log1p-u`
874×	`log-prod`
458×	`fma-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	82
1	208	50
2	2762	50

Stop Event

1×	node limit

Compiler

Compiled 76 to 21 computations (72.4% saved)

end0.0ms (0%)

preprocess179.0ms (7%)

Remove

(sort x y z)

(abs z)

(abs y)

(abs x)

Compiler

Compiled 228 to 140 computations (38.6% saved)

analyze2.0ms (0.1%)

sample1.4s (53.6%)

preprocess165.0ms (6.4%)

eval1.0ms (0%)

prune1.0ms (0%)

localize190.0ms (7.4%)

series23.0ms (0.9%)

rewrite232.0ms (9.1%)

eval79.0ms (3.1%)

prune87.0ms (3.4%)

localize44.0ms (1.7%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes28.0ms (1.1%)

regimes33.0ms (1.3%)

soundness122.0ms (4.8%)

end0.0ms (0%)

preprocess179.0ms (7%)

Profiling