Metrics for Diagrams.Solve.Polynomial:quartForm from diagrams-solve-0.1, D

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated; 0ms collecting garbage

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 11 to 11 computations (0% saved)

sample1.1s (62.3%)

Memory

14.9MiB live, 970.3MiB allocated; 258ms collecting garbage

Samples

669.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 229.0ms

ival-div!: 115.0ms (50.2% of total)

ival-mult!: 74.0ms (32.3% of total)

ival-sub!: 37.0ms (16.1% of total)

adjust: 3.0ms (1.3% of total)

Bogosity

preprocess144.0ms (8%)

Memory

-26.2MiB live, 72.1MiB allocated; 16ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	96
1	160	90
2	738	90
3	4067	90

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))

Symmetry

(sort x y)

Compiler

Compiled 18 to 18 computations (0% saved)

series12.0ms (0.7%)

Memory

29.3MiB live, 29.2MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	212

Stop Event

1×	iter-limit

Counts

9 → 15

Calls

Call 1

Inputs
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(/.f64 (*.f64 x y) #s(literal 2 binary64))
(*.f64 x y)
x
y
#s(literal 2 binary64)
(/.f64 z #s(literal 8 binary64))
z
#s(literal 8 binary64)

Outputs
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z))
#s(approx (- (/ (* x y) 2) (/ z 8)) (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x y)) (*.f64 #s(literal 1/8 binary64) z)))
#s(approx (/ (* x y) 2) (.f64 #s(literal 1/2 binary64) (.f64 x y)))
#s(approx (* x y) (*.f64 x y))
#s(approx x x)
#s(approx (- (/ (* x y) 2) (/ z 8)) (.f64 x (fma.f64 #s(literal -1/8 binary64) (/.f64 z x) (.f64 #s(literal 1/2 binary64) y))))
#s(approx (- (/ (* x y) 2) (/ z 8)) (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/8 binary64) (/.f64 z x))))))
#s(approx y y)
#s(approx (- (/ (* x y) 2) (/ z 8)) (.f64 y (fma.f64 #s(literal -1/8 binary64) (/.f64 z y) (.f64 #s(literal 1/2 binary64) x))))
#s(approx (- (/ (* x y) 2) (/ z 8)) (.f64 #s(literal -1 binary64) (.f64 y (fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal 1/8 binary64) (/.f64 z y))))))
#s(approx (- (/ (* x y) 2) (/ z 8)) (fma.f64 #s(literal -1/8 binary64) z (.f64 #s(literal 1/2 binary64) (.f64 x y))))
#s(approx (/ z 8) (*.f64 #s(literal 1/8 binary64) z))
#s(approx z z)
#s(approx (- (/ (* x y) 2) (/ z 8)) (.f64 z (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64))))
#s(approx (- (/ (* x y) 2) (/ z 8)) (.f64 #s(literal -1 binary64) (.f64 z (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z))))))

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	y	@	inf	((- (/ (* x y) 2) (/ z 8)) (/ (* x y) 2) (* x y) x y 2 (/ z 8) z 8)
1.0ms	x	@	-inf	((- (/ (* x y) 2) (/ z 8)) (/ (* x y) 2) (* x y) x y 2 (/ z 8) z 8)
1.0ms	x	@	0	((- (/ (* x y) 2) (/ z 8)) (/ (* x y) 2) (* x y) x y 2 (/ z 8) z 8)
1.0ms	y	@	-inf	((- (/ (* x y) 2) (/ z 8)) (/ (* x y) 2) (* x y) x y 2 (/ z 8) z 8)
1.0ms	x	@	inf	((- (/ (* x y) 2) (/ z 8)) (/ (* x y) 2) (* x y) x y 2 (/ z 8) z 8)

rewrite70.0ms (3.9%)

Memory

17.5MiB live, 62.2MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	25
0	13	25
1	65	25
0	731	24

Stop Event

1×	iter-limit
1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

9 → 93

Calls

Call 1

Inputs
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(/.f64 (*.f64 x y) #s(literal 2 binary64))
(*.f64 x y)
x
y
#s(literal 2 binary64)
(/.f64 z #s(literal 8 binary64))
z
#s(literal 8 binary64)

Outputs
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 z (.f64 (.f64 y x) #s(literal 4 binary64)))) x) (*.f64 y #s(literal 1/2 binary64)))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 z (.f64 (.f64 y x) #s(literal 4 binary64)))) (*.f64 y x)) #s(literal 1/2 binary64))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 z #s(literal -1/8 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 y x)))) (.f64 #s(literal 1/2 binary64) (.f64 y x)))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 z (.f64 (.f64 y x) #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) (*.f64 y x)))
(.f64 (-.f64 (.f64 (*.f64 y x) #s(literal 4 binary64)) z) #s(literal 1/8 binary64))
(.f64 (-.f64 (.f64 (.f64 (.f64 y x) (.f64 y x)) #s(literal 1/4 binary64)) (.f64 (.f64 z z) #s(literal 1/64 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/8 binary64) z (.f64 #s(literal 1/2 binary64) (*.f64 y x)))))
(.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 y x) (.f64 y x)) #s(literal 1/4 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 y x))) (.f64 (.f64 (.f64 z z) #s(literal 1/64 binary64)) (.f64 #s(literal 1/8 binary64) z))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 y x) (.f64 y x)) #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/8 binary64) z) (fma.f64 #s(literal 1/8 binary64) z (.f64 #s(literal 1/2 binary64) (*.f64 y x)))))))
(.f64 (fma.f64 #s(literal 8 binary64) (.f64 y x) (*.f64 #s(literal -2 binary64) z)) #s(literal 1/16 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) (-.f64 #s(literal 1 binary64) (/.f64 z (.f64 (*.f64 y x) #s(literal 4 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 z (.f64 (.f64 y x) #s(literal 4 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (.f64 y x)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 z (.f64 (.f64 y x) #s(literal 4 binary64)))) (.f64 (neg.f64 x) y)) #s(literal -2 binary64))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 z (.f64 (.f64 y x) #s(literal 4 binary64)))) (.f64 y x)) #s(literal 2 binary64))
(/.f64 (/.f64 (fma.f64 #s(literal 8 binary64) (.f64 y x) (.f64 #s(literal -2 binary64) z)) #s(literal 2 binary64)) #s(literal 8 binary64))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 y x)) (/.f64 #s(literal 8 binary64) z)) #s(literal 1 binary64)) (/.f64 #s(literal 8 binary64) z))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal -8 binary64)) (neg.f64 z)) #s(literal -8 binary64))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 y x) (.f64 y x)) #s(literal 1/4 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 y x)) (pow.f64 (.f64 z #s(literal -1/8 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 y x) (.f64 y x)) #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 z z) #s(literal 1/64 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) (.f64 z #s(literal -1/8 binary64))))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) z)) (.f64 (/.f64 #s(literal 2 binary64) (.f64 y x)) #s(literal 1 binary64))) (.f64 (/.f64 #s(literal 2 binary64) (*.f64 y x)) (/.f64 #s(literal 8 binary64) z)))
(/.f64 (-.f64 #s(literal -8 binary64) (.f64 (/.f64 #s(literal 2 binary64) (.f64 y x)) (neg.f64 z))) (.f64 (/.f64 #s(literal 2 binary64) (.f64 y x)) #s(literal -8 binary64)))
(/.f64 (-.f64 #s(literal 8 binary64) (.f64 (/.f64 #s(literal 2 binary64) (.f64 y x)) z)) (.f64 (/.f64 #s(literal 2 binary64) (.f64 y x)) #s(literal 8 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (neg.f64 x) y) (/.f64 #s(literal 8 binary64) z)) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 #s(literal 8 binary64) z)))
(/.f64 (-.f64 (.f64 (.f64 (neg.f64 x) y) #s(literal -8 binary64)) (*.f64 #s(literal -2 binary64) (neg.f64 z))) #s(literal 16 binary64))
(/.f64 (-.f64 (.f64 (.f64 (neg.f64 x) y) #s(literal 8 binary64)) (*.f64 #s(literal -2 binary64) z)) #s(literal -16 binary64))
(/.f64 (-.f64 (.f64 (.f64 y x) (/.f64 #s(literal 8 binary64) z)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) z)))
(/.f64 (-.f64 (.f64 (.f64 y x) #s(literal -8 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 z))) #s(literal -16 binary64))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 y x) #s(literal 4 binary64)) z)) #s(literal -8 binary64))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (.f64 y x) (.f64 y x)) #s(literal 1/4 binary64)) (.f64 (.f64 z z) #s(literal 1/64 binary64)))) (neg.f64 (fma.f64 #s(literal 1/8 binary64) z (.f64 #s(literal 1/2 binary64) (.f64 y x)))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 y x) (.f64 y x)) #s(literal 1/4 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 y x))) (.f64 (.f64 (.f64 z z) #s(literal 1/64 binary64)) (.f64 #s(literal 1/8 binary64) z)))) (neg.f64 (fma.f64 (.f64 (.f64 y x) (.f64 y x)) #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/8 binary64) z) (fma.f64 #s(literal 1/8 binary64) z (.f64 #s(literal 1/2 binary64) (.f64 y x)))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (.f64 y x) (.f64 #s(literal -2 binary64) z))) #s(literal -16 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 z (.f64 (.f64 y x) #s(literal 4 binary64)))) (/.f64 #s(literal 2 binary64) (*.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) (-.f64 (.f64 (.f64 y x) #s(literal 4 binary64)) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/8 binary64) z (.f64 #s(literal 1/2 binary64) (.f64 y x))) (-.f64 (.f64 (.f64 (.f64 y x) (.f64 y x)) #s(literal 1/4 binary64)) (.f64 (.f64 z z) #s(literal 1/64 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (.f64 y x) (.f64 y x)) #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/8 binary64) z) (fma.f64 #s(literal 1/8 binary64) z (.f64 #s(literal 1/2 binary64) (.f64 y x))))) (-.f64 (.f64 (.f64 (.f64 (.f64 y x) (.f64 y x)) #s(literal 1/4 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 y x))) (.f64 (.f64 (.f64 z z) #s(literal 1/64 binary64)) (.f64 #s(literal 1/8 binary64) z)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 16 binary64) (fma.f64 #s(literal 8 binary64) (.f64 y x) (.f64 #s(literal -2 binary64) z))))
(/.f64 (-.f64 (.f64 (.f64 y x) #s(literal 4 binary64)) z) #s(literal 8 binary64))
(/.f64 (-.f64 (.f64 (.f64 (.f64 y x) (.f64 y x)) #s(literal 1/4 binary64)) (.f64 (.f64 z z) #s(literal 1/64 binary64))) (fma.f64 #s(literal 1/8 binary64) z (.f64 #s(literal 1/2 binary64) (.f64 y x))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 y x) (.f64 y x)) #s(literal 1/4 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 y x))) (.f64 (.f64 (.f64 z z) #s(literal 1/64 binary64)) (.f64 #s(literal 1/8 binary64) z))) (fma.f64 (.f64 (.f64 y x) (.f64 y x)) #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/8 binary64) z) (fma.f64 #s(literal 1/8 binary64) z (.f64 #s(literal 1/2 binary64) (.f64 y x))))))
(/.f64 (fma.f64 #s(literal 8 binary64) (.f64 y x) (.f64 #s(literal -2 binary64) z)) #s(literal 16 binary64))
(neg.f64 (-.f64 (.f64 #s(literal 1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 y x))))
(fma.f64 (.f64 y #s(literal 1/2 binary64)) x (.f64 z #s(literal -1/8 binary64)))
(fma.f64 #s(literal 1/2 binary64) (.f64 y x) (.f64 z #s(literal -1/8 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 y x)) (*.f64 z #s(literal -1/8 binary64)))
(fma.f64 (neg.f64 z) #s(literal 1/8 binary64) (.f64 #s(literal 1/2 binary64) (.f64 y x)))
(fma.f64 (.f64 (neg.f64 x) y) #s(literal -1/2 binary64) (.f64 z #s(literal -1/8 binary64)))
(fma.f64 z #s(literal -1/8 binary64) (.f64 #s(literal 1/2 binary64) (.f64 y x)))
(fma.f64 (.f64 y x) #s(literal 1/2 binary64) (.f64 z #s(literal -1/8 binary64)))
(fma.f64 y (.f64 x #s(literal 1/2 binary64)) (.f64 z #s(literal -1/8 binary64)))
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (*.f64 z #s(literal -1/8 binary64)))
(fma.f64 x (.f64 y #s(literal 1/2 binary64)) (.f64 z #s(literal -1/8 binary64)))
(-.f64 (/.f64 (.f64 (.f64 y x) #s(literal 4 binary64)) #s(literal 8 binary64)) (*.f64 #s(literal 1/8 binary64) z))
(-.f64 (/.f64 (.f64 (.f64 (.f64 y x) (.f64 y x)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/8 binary64) z (.f64 #s(literal 1/2 binary64) (.f64 y x)))) (/.f64 (.f64 (.f64 z z) #s(literal 1/64 binary64)) (fma.f64 #s(literal 1/8 binary64) z (.f64 #s(literal 1/2 binary64) (.f64 y x)))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 y x) (.f64 y x)) #s(literal 1/4 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 y x))) (fma.f64 (.f64 (.f64 y x) (.f64 y x)) #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/8 binary64) z) (fma.f64 #s(literal 1/8 binary64) z (.f64 #s(literal 1/2 binary64) (.f64 y x)))))) (/.f64 (.f64 (.f64 (.f64 z z) #s(literal 1/64 binary64)) (.f64 #s(literal 1/8 binary64) z)) (fma.f64 (.f64 (.f64 y x) (.f64 y x)) #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/8 binary64) z) (fma.f64 #s(literal 1/8 binary64) z (.f64 #s(literal 1/2 binary64) (*.f64 y x)))))))
(-.f64 (/.f64 (.f64 #s(literal 8 binary64) (.f64 y x)) #s(literal 16 binary64)) (/.f64 (+.f64 z z) #s(literal 16 binary64)))
(-.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) (*.f64 #s(literal 1/8 binary64) z))
(+.f64 (.f64 z #s(literal -1/8 binary64)) (.f64 #s(literal 1/2 binary64) (*.f64 y x)))
(+.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) (*.f64 z #s(literal -1/8 binary64)))
(.f64 (.f64 y #s(literal 1/2 binary64)) x)
(.f64 #s(literal 1/2 binary64) (.f64 y x))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 y x)))
(.f64 (.f64 (neg.f64 x) y) #s(literal -1/2 binary64))
(.f64 (.f64 y x) #s(literal 1/2 binary64))
(.f64 y (.f64 x #s(literal 1/2 binary64)))
(*.f64 y (/.f64 x #s(literal 2 binary64)))
(.f64 x (.f64 y #s(literal 1/2 binary64)))
(pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 y x)) #s(literal -1 binary64))
(/.f64 (.f64 (.f64 y x) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 (neg.f64 x) y)) #s(literal 2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) (*.f64 y x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 y x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 y x)))
(/.f64 (*.f64 (neg.f64 x) y) #s(literal -2 binary64))
(/.f64 (*.f64 y x) #s(literal 2 binary64))
(neg.f64 (/.f64 (*.f64 y x) #s(literal -2 binary64)))
(neg.f64 (/.f64 (*.f64 (neg.f64 x) y) #s(literal 2 binary64)))
(*.f64 y x)
(*.f64 x y)
x
y
#s(literal 2 binary64)
(*.f64 #s(literal 1/8 binary64) z)
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) z))
(*.f64 (neg.f64 z) #s(literal -1/8 binary64))
(*.f64 z #s(literal 1/8 binary64))
(pow.f64 (/.f64 #s(literal 8 binary64) z) #s(literal -1 binary64))
(/.f64 (*.f64 z #s(literal 1 binary64)) #s(literal 8 binary64))
(/.f64 (neg.f64 (neg.f64 z)) #s(literal 8 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 8 binary64) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 8 binary64) z) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) z))
(/.f64 (neg.f64 z) #s(literal -8 binary64))
(/.f64 z #s(literal 8 binary64))
(neg.f64 (*.f64 z #s(literal -1/8 binary64)))
z
#s(literal 8 binary64)

eval23.0ms (1.3%)

Memory: -16.8MiB live, 27.2MiB allocated; 10ms collecting garbage
Compiler: Compiled 693 to 298 computations (57% saved)

prune5.0ms (0.3%)

Memory

7.4MiB live, 7.4MiB allocated; 0ms collecting garbage

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	99	2	101
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	100	2	102

Accuracy

100.0%

Counts

102 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (.f64 y #s(literal 1/2 binary64)) x (.f64 z #s(literal -1/8 binary64)))
▶	51.4%	#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z))

Compiler

Compiled 20 to 20 computations (0% saved)

series24.0ms (1.3%)

Memory

-25.6MiB live, 17.5MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	208

Stop Event

1×	iter-limit

Counts

10 → 14

Calls

Call 1

Inputs
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z))
(*.f64 #s(literal -1/8 binary64) z)
#s(literal -1/8 binary64)
z
(fma.f64 (.f64 y #s(literal 1/2 binary64)) x (.f64 z #s(literal -1/8 binary64)))
(*.f64 y #s(literal 1/2 binary64))
y
#s(literal 1/2 binary64)
x
(*.f64 z #s(literal -1/8 binary64))

Outputs
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z))
#s(approx (- (/ (* x y) 2) (/ z 8)) (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x y)) (*.f64 #s(literal 1/8 binary64) z)))
#s(approx (+ (* (* y 1/2) x) (* z -1/8)) (fma.f64 #s(literal -1/8 binary64) z (.f64 #s(literal 1/2 binary64) (.f64 x y))))
#s(approx x x)
#s(approx (- (/ (* x y) 2) (/ z 8)) (.f64 #s(literal 1/2 binary64) (.f64 x y)))
#s(approx (- (/ (* x y) 2) (/ z 8)) (.f64 x (fma.f64 #s(literal -1/8 binary64) (/.f64 z x) (.f64 #s(literal 1/2 binary64) y))))
#s(approx (- (/ (* x y) 2) (/ z 8)) (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/8 binary64) (/.f64 z x))))))
#s(approx (* y 1/2) (*.f64 #s(literal 1/2 binary64) y))
#s(approx y y)
#s(approx (- (/ (* x y) 2) (/ z 8)) (.f64 y (fma.f64 #s(literal -1/8 binary64) (/.f64 z y) (.f64 #s(literal 1/2 binary64) x))))
#s(approx (- (/ (* x y) 2) (/ z 8)) (.f64 #s(literal -1 binary64) (.f64 y (fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal 1/8 binary64) (/.f64 z y))))))
#s(approx z z)
#s(approx (- (/ (* x y) 2) (/ z 8)) (.f64 z (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64))))
#s(approx (- (/ (* x y) 2) (/ z 8)) (.f64 #s(literal -1 binary64) (.f64 z (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z))))))

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	y	@	-inf	((- (/ (* x y) 2) (/ z 8)) (* -1/8 z) -1/8 z (+ (* (* y 1/2) x) (* z -1/8)) (* y 1/2) y 1/2 x (* z -1/8))
1.0ms	y	@	inf	((- (/ (* x y) 2) (/ z 8)) (* -1/8 z) -1/8 z (+ (* (* y 1/2) x) (* z -1/8)) (* y 1/2) y 1/2 x (* z -1/8))
1.0ms	z	@	-inf	((- (/ (* x y) 2) (/ z 8)) (* -1/8 z) -1/8 z (+ (* (* y 1/2) x) (* z -1/8)) (* y 1/2) y 1/2 x (* z -1/8))
1.0ms	z	@	inf	((- (/ (* x y) 2) (/ z 8)) (* -1/8 z) -1/8 z (+ (* (* y 1/2) x) (* z -1/8)) (* y 1/2) y 1/2 x (* z -1/8))
1.0ms	x	@	-inf	((- (/ (* x y) 2) (/ z 8)) (* -1/8 z) -1/8 z (+ (* (* y 1/2) x) (* z -1/8)) (* y 1/2) y 1/2 x (* z -1/8))

rewrite109.0ms (6.1%)

Memory

-8.0MiB live, 100.9MiB allocated; 33ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	35
0	21	35
1	97	34
0	1139	34

Stop Event

1×	iter-limit
1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

10 → 110

Calls

Call 1

Inputs
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z))
(*.f64 #s(literal -1/8 binary64) z)
#s(literal -1/8 binary64)
z
(fma.f64 (.f64 y #s(literal 1/2 binary64)) x (.f64 z #s(literal -1/8 binary64)))
(*.f64 y #s(literal 1/2 binary64))
y
#s(literal 1/2 binary64)
x
(*.f64 z #s(literal -1/8 binary64))

Outputs
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z))
(*.f64 (neg.f64 z) #s(literal 1/8 binary64))
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 z #s(literal -1/8 binary64))
(/.f64 (neg.f64 (neg.f64 z)) #s(literal -8 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 8 binary64) z))
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 8 binary64) z)))
(/.f64 (neg.f64 z) #s(literal 8 binary64))
(/.f64 z #s(literal -8 binary64))
(neg.f64 (*.f64 #s(literal 1/8 binary64) z))
#s(literal -1/8 binary64)
z
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 z (.f64 (.f64 y x) #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) y)) x)
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 z (.f64 (.f64 y x) #s(literal 4 binary64)))) y) (*.f64 #s(literal 1/2 binary64) x))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 z (.f64 (.f64 y x) #s(literal 4 binary64)))) x) (*.f64 #s(literal 1/2 binary64) y))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 z (.f64 (.f64 y x) #s(literal 4 binary64)))) (*.f64 y x)) #s(literal 1/2 binary64))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) (.f64 #s(literal -1/8 binary64) z))) (*.f64 #s(literal -1/8 binary64) z))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 z (.f64 (.f64 y x) #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) (*.f64 y x)))
(.f64 (-.f64 (.f64 (*.f64 y x) #s(literal 4 binary64)) z) #s(literal 1/8 binary64))
(.f64 (-.f64 (.f64 (.f64 (.f64 y x) (.f64 y x)) #s(literal 1/4 binary64)) (.f64 #s(literal 1/64 binary64) (.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/8 binary64) z (.f64 #s(literal 1/2 binary64) (*.f64 y x)))))
(.f64 (fma.f64 (.f64 (.f64 (.f64 y x) (.f64 y x)) #s(literal 1/4 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 y x)) (.f64 (.f64 #s(literal 1/64 binary64) (.f64 z z)) (.f64 #s(literal -1/8 binary64) z))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 y x) (.f64 y x)) #s(literal 1/4 binary64) (.f64 (.f64 #s(literal -1/8 binary64) z) (-.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 y x)))))))
(.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 y x) (.f64 y x)) #s(literal 1/4 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 y x))) (.f64 (.f64 #s(literal 1/64 binary64) (.f64 z z)) (.f64 #s(literal 1/8 binary64) z))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 y x) (.f64 y x)) #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/8 binary64) z) (fma.f64 #s(literal 1/8 binary64) z (.f64 #s(literal 1/2 binary64) (*.f64 y x)))))))
(.f64 (fma.f64 #s(literal 8 binary64) (.f64 y x) (*.f64 #s(literal -2 binary64) z)) #s(literal 1/16 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) (-.f64 #s(literal 1 binary64) (/.f64 z (.f64 (*.f64 y x) #s(literal 4 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 z (.f64 (.f64 y x) #s(literal 4 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (.f64 y x)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 z (.f64 (.f64 y x) #s(literal 4 binary64)))) (.f64 (neg.f64 x) y)) #s(literal -2 binary64))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 z (.f64 (.f64 y x) #s(literal 4 binary64)))) (.f64 y x)) #s(literal 2 binary64))
(/.f64 (/.f64 (fma.f64 #s(literal 8 binary64) (.f64 y x) (.f64 #s(literal -2 binary64) z)) #s(literal 2 binary64)) #s(literal 8 binary64))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 y x)) (/.f64 #s(literal 8 binary64) z)) #s(literal 1 binary64)) (/.f64 #s(literal 8 binary64) z))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal -8 binary64)) (neg.f64 z)) #s(literal -8 binary64))
(/.f64 (-.f64 (.f64 #s(literal 1/64 binary64) (.f64 z z)) (.f64 (.f64 (.f64 y x) (.f64 y x)) #s(literal 1/4 binary64))) (-.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 y x))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) z)) (.f64 (/.f64 #s(literal 2 binary64) (.f64 y x)) #s(literal 1 binary64))) (.f64 (/.f64 #s(literal 2 binary64) (*.f64 y x)) (/.f64 #s(literal 8 binary64) z)))
(/.f64 (-.f64 #s(literal -8 binary64) (.f64 (/.f64 #s(literal 2 binary64) (.f64 y x)) (neg.f64 z))) (.f64 (/.f64 #s(literal 2 binary64) (.f64 y x)) #s(literal -8 binary64)))
(/.f64 (-.f64 #s(literal 8 binary64) (.f64 (/.f64 #s(literal 2 binary64) (.f64 y x)) z)) (.f64 (/.f64 #s(literal 2 binary64) (.f64 y x)) #s(literal 8 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (neg.f64 x) y) (/.f64 #s(literal 8 binary64) z)) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 #s(literal 8 binary64) z)))
(/.f64 (-.f64 (.f64 (.f64 (neg.f64 x) y) #s(literal -8 binary64)) (*.f64 #s(literal -2 binary64) (neg.f64 z))) #s(literal 16 binary64))
(/.f64 (-.f64 (.f64 (.f64 (neg.f64 x) y) #s(literal 8 binary64)) (*.f64 #s(literal -2 binary64) z)) #s(literal -16 binary64))
(/.f64 (-.f64 (.f64 (.f64 y x) (/.f64 #s(literal 8 binary64) z)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) z)))
(/.f64 (-.f64 (.f64 (.f64 y x) #s(literal -8 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 z))) #s(literal -16 binary64))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 y x) (.f64 y x)) #s(literal 1/4 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 y x)) (.f64 (.f64 #s(literal 1/64 binary64) (.f64 z z)) (.f64 #s(literal -1/8 binary64) z)))) (neg.f64 (fma.f64 (.f64 (.f64 y x) (.f64 y x)) #s(literal 1/4 binary64) (.f64 (.f64 #s(literal -1/8 binary64) z) (-.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (.f64 y x)))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 y x) #s(literal 4 binary64)) z)) #s(literal -8 binary64))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (.f64 y x) (.f64 y x)) #s(literal 1/4 binary64)) (.f64 #s(literal 1/64 binary64) (.f64 z z)))) (neg.f64 (fma.f64 #s(literal 1/8 binary64) z (.f64 #s(literal 1/2 binary64) (.f64 y x)))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 y x) (.f64 y x)) #s(literal 1/4 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 y x))) (.f64 (.f64 #s(literal 1/64 binary64) (.f64 z z)) (.f64 #s(literal 1/8 binary64) z)))) (neg.f64 (fma.f64 (.f64 (.f64 y x) (.f64 y x)) #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/8 binary64) z) (fma.f64 #s(literal 1/8 binary64) z (.f64 #s(literal 1/2 binary64) (.f64 y x)))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (.f64 y x) (.f64 #s(literal -2 binary64) z))) #s(literal -16 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 z (.f64 (.f64 y x) #s(literal 4 binary64)))) (/.f64 #s(literal 2 binary64) (*.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (.f64 y x) (.f64 y x)) #s(literal 1/4 binary64) (.f64 (.f64 #s(literal -1/8 binary64) z) (-.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (.f64 y x))))) (fma.f64 (.f64 (.f64 (.f64 y x) (.f64 y x)) #s(literal 1/4 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 y x)) (.f64 (.f64 #s(literal 1/64 binary64) (.f64 z z)) (.f64 #s(literal -1/8 binary64) z)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) (-.f64 (.f64 (.f64 y x) #s(literal 4 binary64)) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/8 binary64) z (.f64 #s(literal 1/2 binary64) (.f64 y x))) (-.f64 (.f64 (.f64 (.f64 y x) (.f64 y x)) #s(literal 1/4 binary64)) (.f64 #s(literal 1/64 binary64) (.f64 z z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (.f64 y x) (.f64 y x)) #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/8 binary64) z) (fma.f64 #s(literal 1/8 binary64) z (.f64 #s(literal 1/2 binary64) (.f64 y x))))) (-.f64 (.f64 (.f64 (.f64 (.f64 y x) (.f64 y x)) #s(literal 1/4 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 y x))) (.f64 (.f64 #s(literal 1/64 binary64) (.f64 z z)) (.f64 #s(literal 1/8 binary64) z)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 16 binary64) (fma.f64 #s(literal 8 binary64) (.f64 y x) (.f64 #s(literal -2 binary64) z))))
(/.f64 (-.f64 (.f64 (.f64 y x) #s(literal 4 binary64)) z) #s(literal 8 binary64))
(/.f64 (-.f64 (.f64 (.f64 (.f64 y x) (.f64 y x)) #s(literal 1/4 binary64)) (.f64 #s(literal 1/64 binary64) (.f64 z z))) (fma.f64 #s(literal 1/8 binary64) z (.f64 #s(literal 1/2 binary64) (.f64 y x))))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 y x) (.f64 y x)) #s(literal 1/4 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 y x)) (.f64 (.f64 #s(literal 1/64 binary64) (.f64 z z)) (.f64 #s(literal -1/8 binary64) z))) (fma.f64 #s(literal 1/64 binary64) (.f64 z z) (-.f64 (.f64 (.f64 (.f64 y x) (.f64 y x)) #s(literal 1/4 binary64)) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal -1/8 binary64)) z))))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 y x) (.f64 y x)) #s(literal 1/4 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 y x)) (.f64 (.f64 #s(literal 1/64 binary64) (.f64 z z)) (.f64 #s(literal -1/8 binary64) z))) (fma.f64 (.f64 (.f64 y x) (.f64 y x)) #s(literal 1/4 binary64) (.f64 (.f64 #s(literal -1/8 binary64) z) (-.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (.f64 y x))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 y x) (.f64 y x)) #s(literal 1/4 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 y x))) (.f64 (.f64 #s(literal 1/64 binary64) (.f64 z z)) (.f64 #s(literal 1/8 binary64) z))) (fma.f64 (.f64 (.f64 y x) (.f64 y x)) #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/8 binary64) z) (fma.f64 #s(literal 1/8 binary64) z (.f64 #s(literal 1/2 binary64) (.f64 y x))))))
(/.f64 (fma.f64 #s(literal 8 binary64) (.f64 y x) (.f64 #s(literal -2 binary64) z)) #s(literal 16 binary64))
(neg.f64 (-.f64 (.f64 #s(literal 1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 y x))))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) y (.f64 (neg.f64 (neg.f64 z)) #s(literal -1/8 binary64)))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) y (.f64 #s(literal -1/8 binary64) z))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 y x)) (*.f64 (neg.f64 (neg.f64 z)) #s(literal -1/8 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 y x)) (*.f64 #s(literal -1/8 binary64) z))
(fma.f64 (neg.f64 z) #s(literal 1/8 binary64) (.f64 #s(literal 1/2 binary64) (.f64 y x)))
(fma.f64 (.f64 (neg.f64 x) y) #s(literal -1/2 binary64) (.f64 (neg.f64 (neg.f64 z)) #s(literal -1/8 binary64)))
(fma.f64 (.f64 (neg.f64 x) y) #s(literal -1/2 binary64) (.f64 #s(literal -1/8 binary64) z))
(fma.f64 (.f64 #s(literal 1/2 binary64) y) x (.f64 (neg.f64 (neg.f64 z)) #s(literal -1/8 binary64)))
(fma.f64 (.f64 #s(literal 1/2 binary64) y) x (.f64 #s(literal -1/8 binary64) z))
(fma.f64 #s(literal 1/2 binary64) (.f64 y x) (.f64 (neg.f64 (neg.f64 z)) #s(literal -1/8 binary64)))
(fma.f64 #s(literal 1/2 binary64) (.f64 y x) (.f64 #s(literal -1/8 binary64) z))
(fma.f64 #s(literal -1/8 binary64) z (.f64 #s(literal 1/2 binary64) (.f64 y x)))
(fma.f64 z #s(literal -1/8 binary64) (.f64 #s(literal 1/2 binary64) (.f64 y x)))
(fma.f64 (.f64 y x) #s(literal 1/2 binary64) (.f64 (neg.f64 (neg.f64 z)) #s(literal -1/8 binary64)))
(fma.f64 (.f64 y x) #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) z))
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (*.f64 (neg.f64 (neg.f64 z)) #s(literal -1/8 binary64)))
(fma.f64 y (/.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -1/8 binary64) z))
(fma.f64 y (.f64 #s(literal 1/2 binary64) x) (.f64 (neg.f64 (neg.f64 z)) #s(literal -1/8 binary64)))
(fma.f64 y (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal -1/8 binary64) z))
(fma.f64 x (.f64 #s(literal 1/2 binary64) y) (.f64 (neg.f64 (neg.f64 z)) #s(literal -1/8 binary64)))
(fma.f64 x (.f64 #s(literal 1/2 binary64) y) (.f64 #s(literal -1/8 binary64) z))
(-.f64 (/.f64 (.f64 (.f64 (.f64 y x) (.f64 y x)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/8 binary64) z (.f64 #s(literal 1/2 binary64) (.f64 y x)))) (/.f64 (.f64 #s(literal 1/64 binary64) (.f64 z z)) (fma.f64 #s(literal 1/8 binary64) z (.f64 #s(literal 1/2 binary64) (.f64 y x)))))
(-.f64 (/.f64 (.f64 (.f64 y x) #s(literal 4 binary64)) #s(literal 8 binary64)) (*.f64 #s(literal 1/8 binary64) z))
(-.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 y x) (.f64 y x)) #s(literal 1/4 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 y x))) (fma.f64 (.f64 (.f64 y x) (.f64 y x)) #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/8 binary64) z) (fma.f64 #s(literal 1/8 binary64) z (.f64 #s(literal 1/2 binary64) (.f64 y x)))))) (/.f64 (.f64 (.f64 #s(literal 1/64 binary64) (.f64 z z)) (.f64 #s(literal 1/8 binary64) z)) (fma.f64 (.f64 (.f64 y x) (.f64 y x)) #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/8 binary64) z) (fma.f64 #s(literal 1/8 binary64) z (.f64 #s(literal 1/2 binary64) (*.f64 y x)))))))
(-.f64 (/.f64 (.f64 #s(literal 8 binary64) (.f64 y x)) #s(literal 16 binary64)) (/.f64 (+.f64 z z) #s(literal 16 binary64)))
(-.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) y)) x))
(-.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 (neg.f64 y) (*.f64 #s(literal 1/2 binary64) x)))
(-.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 (neg.f64 x) (*.f64 #s(literal 1/2 binary64) y)))
(-.f64 (.f64 #s(literal -1/8 binary64) z) (neg.f64 (.f64 #s(literal 1/2 binary64) (*.f64 y x))))
(-.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) (*.f64 #s(literal 1/8 binary64) z))
(+.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 y x) (.f64 y x)) #s(literal 1/4 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 y x))) (fma.f64 (.f64 (.f64 y x) (.f64 y x)) #s(literal 1/4 binary64) (.f64 (.f64 #s(literal -1/8 binary64) z) (-.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (.f64 y x)))))) (/.f64 (.f64 (.f64 #s(literal 1/64 binary64) (.f64 z z)) (.f64 #s(literal -1/8 binary64) z)) (fma.f64 (.f64 (.f64 y x) (.f64 y x)) #s(literal 1/4 binary64) (.f64 (.f64 #s(literal -1/8 binary64) z) (-.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 y x)))))))
(+.f64 (.f64 #s(literal -1/8 binary64) z) (.f64 #s(literal 1/2 binary64) (*.f64 y x)))
(+.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) (*.f64 (neg.f64 (neg.f64 z)) #s(literal -1/8 binary64)))
(+.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) (*.f64 #s(literal -1/8 binary64) z))
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 y #s(literal 1/2 binary64))
(/.f64 (*.f64 y #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))
(/.f64 (neg.f64 y) #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y))
(/.f64 y #s(literal 2 binary64))
y
#s(literal 1/2 binary64)
x
(*.f64 (neg.f64 z) #s(literal 1/8 binary64))
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 z #s(literal -1/8 binary64))
(/.f64 (neg.f64 (neg.f64 z)) #s(literal -8 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 8 binary64) z))
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 8 binary64) z)))
(/.f64 (neg.f64 z) #s(literal 8 binary64))
(/.f64 z #s(literal -8 binary64))
(neg.f64 (*.f64 #s(literal 1/8 binary64) z))

eval18.0ms (1%)

Memory: 30.6MiB live, 30.6MiB allocated; 0ms collecting garbage
Compiler: Compiled 850 to 301 computations (64.6% saved)

prune11.0ms (0.6%)

Memory

-35.8MiB live, 9.5MiB allocated; 8ms collecting garbage

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	105	2	107
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	105	4	109

Accuracy

100.0%

Counts

109 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (.f64 y #s(literal 1/2 binary64)) x (.f64 z #s(literal -1/8 binary64)))
▶	51.3%	#s(approx (- (/ (* x y) 2) (/ z 8)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 8 binary64) z)))
▶	49.9%	#s(approx (- (/ (* x y) 2) (/ z 8)) (.f64 #s(literal 1/2 binary64) (.f64 x y)))
✓	51.4%	#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z))

Compiler

Compiled 47 to 47 computations (0% saved)

series18.0ms (1%)

Memory

29.5MiB live, 29.5MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	212

Stop Event

1×	iter-limit

Counts

12 → 15

Calls

Call 1

Inputs
#s(approx (- (/ (* x y) 2) (/ z 8)) (.f64 #s(literal 1/2 binary64) (.f64 x y)))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
#s(literal 1/2 binary64)
(*.f64 x y)
x
y
#s(approx (- (/ (* x y) 2) (/ z 8)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 8 binary64) z)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 8 binary64) z))
#s(literal -1 binary64)
(/.f64 #s(literal 8 binary64) z)
#s(literal 8 binary64)
z

Outputs
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z))
#s(approx (- (/ (* x y) 2) (/ z 8)) (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 x y)) (*.f64 #s(literal 1/8 binary64) z)))
#s(approx (* 1/2 (* x y)) (.f64 #s(literal 1/2 binary64) (.f64 x y)))
#s(approx (* x y) (*.f64 x y))
#s(approx x x)
#s(approx (- (/ (* x y) 2) (/ z 8)) (.f64 x (fma.f64 #s(literal -1/8 binary64) (/.f64 z x) (.f64 #s(literal 1/2 binary64) y))))
#s(approx (- (/ (* x y) 2) (/ z 8)) (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/8 binary64) (/.f64 z x))))))
#s(approx y y)
#s(approx (- (/ (* x y) 2) (/ z 8)) (.f64 y (fma.f64 #s(literal -1/8 binary64) (/.f64 z y) (.f64 #s(literal 1/2 binary64) x))))
#s(approx (- (/ (* x y) 2) (/ z 8)) (.f64 #s(literal -1 binary64) (.f64 y (fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal 1/8 binary64) (/.f64 z y))))))
#s(approx (- (/ (* x y) 2) (/ z 8)) (fma.f64 #s(literal -1/8 binary64) z (.f64 #s(literal 1/2 binary64) (.f64 x y))))
#s(approx (/ 8 z) (/.f64 #s(literal 8 binary64) z))
#s(approx z z)
#s(approx (- (/ (* x y) 2) (/ z 8)) (.f64 z (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1/8 binary64))))
#s(approx (- (/ (* x y) 2) (/ z 8)) (.f64 #s(literal -1 binary64) (.f64 z (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x y) z))))))

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	z	@	-inf	((- (/ (* x y) 2) (/ z 8)) (* 1/2 (* x y)) 1/2 (* x y) x y (- (/ (* x y) 2) (/ z 8)) (/ -1 (/ 8 z)) -1 (/ 8 z) 8 z)
1.0ms	x	@	-inf	((- (/ (* x y) 2) (/ z 8)) (* 1/2 (* x y)) 1/2 (* x y) x y (- (/ (* x y) 2) (/ z 8)) (/ -1 (/ 8 z)) -1 (/ 8 z) 8 z)
1.0ms	y	@	inf	((- (/ (* x y) 2) (/ z 8)) (* 1/2 (* x y)) 1/2 (* x y) x y (- (/ (* x y) 2) (/ z 8)) (/ -1 (/ 8 z)) -1 (/ 8 z) 8 z)
1.0ms	x	@	inf	((- (/ (* x y) 2) (/ z 8)) (* 1/2 (* x y)) 1/2 (* x y) x y (- (/ (* x y) 2) (/ z 8)) (/ -1 (/ 8 z)) -1 (/ 8 z) 8 z)
1.0ms	y	@	-inf	((- (/ (* x y) 2) (/ z 8)) (* 1/2 (* x y)) 1/2 (* x y) x y (- (/ (* x y) 2) (/ z 8)) (/ -1 (/ 8 z)) -1 (/ 8 z) 8 z)

rewrite64.0ms (3.6%)

Memory

20.3MiB live, 65.0MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	52
0	21	48
1	87	48
0	856	46

Stop Event

1×	iter-limit
1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

12 → 64

Calls

Call 1

Inputs
#s(approx (- (/ (* x y) 2) (/ z 8)) (.f64 #s(literal 1/2 binary64) (.f64 x y)))
(.f64 #s(literal 1/2 binary64) (.f64 x y))
#s(literal 1/2 binary64)
(*.f64 x y)
x
y
#s(approx (- (/ (* x y) 2) (/ z 8)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 8 binary64) z)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 8 binary64) z))
#s(literal -1 binary64)
(/.f64 #s(literal 8 binary64) z)
#s(literal 8 binary64)
z

Outputs
#s(approx (- (/ (* x y) 2) (/ z 8)) (.f64 (.f64 #s(literal 1/2 binary64) y) x))
(.f64 (.f64 #s(literal 1/2 binary64) y) x)
(.f64 (.f64 #s(literal 1/2 binary64) x) y)
(.f64 (.f64 y #s(literal 1/2 binary64)) x)
(.f64 #s(literal 1 binary64) (.f64 (*.f64 #s(literal 1/2 binary64) y) x))
(.f64 (.f64 (neg.f64 x) y) #s(literal -1/2 binary64))
(.f64 (.f64 y x) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 y x))
(*.f64 y (/.f64 x #s(literal 2 binary64)))
(.f64 y (.f64 #s(literal 1/2 binary64) x))
(.f64 x (.f64 y #s(literal 1/2 binary64)))
(pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 y x)) #s(literal -1 binary64))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 y x)) #s(literal 2 binary64))
(/.f64 (.f64 (.f64 y x) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 (neg.f64 x) y)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 y x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 y x)))
(/.f64 (*.f64 (neg.f64 x) y) #s(literal -2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) (*.f64 y x))))
(/.f64 (*.f64 y x) #s(literal 2 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 y x))))
(neg.f64 (/.f64 (*.f64 y x) #s(literal -2 binary64)))
(neg.f64 (/.f64 (*.f64 (neg.f64 x) y) #s(literal 2 binary64)))
#s(literal 1/2 binary64)
(*.f64 y x)
(*.f64 x y)
x
y
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z))
(.f64 (.f64 #s(literal -1 binary64) z) #s(literal 1/8 binary64))
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 #s(literal 1/8 binary64) (neg.f64 z))
(.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) z))
(*.f64 (neg.f64 z) #s(literal 1/8 binary64))
(.f64 #s(literal -1 binary64) (.f64 #s(literal 1/8 binary64) z))
(.f64 (.f64 #s(literal 1/8 binary64) z) #s(literal -1 binary64))
(*.f64 z #s(literal -1/8 binary64))
(pow.f64 (/.f64 #s(literal -8 binary64) z) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 z)) #s(literal -8 binary64))
(/.f64 (*.f64 #s(literal -1 binary64) z) #s(literal 8 binary64))
(/.f64 (neg.f64 (neg.f64 z)) #s(literal -8 binary64))
(/.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -8 binary64) z))
(/.f64 (neg.f64 z) #s(literal 8 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 8 binary64) z))
(/.f64 z #s(literal -8 binary64))
(neg.f64 (*.f64 #s(literal 1/8 binary64) z))
#s(literal -1 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 z)) #s(literal -8 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 8 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) z))
(*.f64 #s(literal -8 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 z)))
(*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) z))
(pow.f64 (*.f64 #s(literal 1/8 binary64) z) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/8 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) z))
(/.f64 #s(literal -8 binary64) (neg.f64 z))
(/.f64 (/.f64 #s(literal 8 binary64) z) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/8 binary64) z))
(/.f64 #s(literal 8 binary64) (neg.f64 (neg.f64 z)))
(/.f64 #s(literal 8 binary64) z)
(neg.f64 (/.f64 #s(literal -8 binary64) z))
#s(literal 8 binary64)
z

eval32.0ms (1.8%)

Memory: -15.1MiB live, 32.3MiB allocated; 24ms collecting garbage
Compiler: Compiled 325 to 217 computations (33.2% saved)

prune7.0ms (0.4%)

Memory

15.9MiB live, 15.9MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	67	0	67
Fresh	0	0	0
Picked	0	2	2
Done	0	2	2
Total	67	4	71

Accuracy

100.0%

Counts

71 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (.f64 y #s(literal 1/2 binary64)) x (.f64 z #s(literal -1/8 binary64)))
✓	51.3%	#s(approx (- (/ (* x y) 2) (/ z 8)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 8 binary64) z)))
✓	49.9%	#s(approx (- (/ (* x y) 2) (/ z 8)) (.f64 #s(literal 1/2 binary64) (.f64 x y)))
✓	51.4%	#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z))

Compiler

Compiled 81 to 75 computations (7.4% saved)

regimes35.0ms (2%)

Memory

-41.0MiB live, 51.1MiB allocated; 8ms collecting garbage

Counts

5 → 1

Calls

Call 1

Inputs
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z))
#s(approx (- (/ (* x y) 2) (/ z 8)) (.f64 #s(literal 1/2 binary64) (.f64 x y)))
#s(approx (- (/ (* x y) 2) (/ z 8)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 8 binary64) z)))
(fma.f64 (.f64 y #s(literal 1/2 binary64)) x (.f64 z #s(literal -1/8 binary64)))
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))

Outputs
(fma.f64 (.f64 y #s(literal 1/2 binary64)) x (.f64 z #s(literal -1/8 binary64)))

Calls

7 calls:

7.0ms	z
7.0ms	(/.f64 z #s(literal 8 binary64))
4.0ms	x
4.0ms	(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
4.0ms	y

Results

Accuracy	Segments	Branch
100.0%	1	`(/.f64 z #s(literal 8 binary64))`
100.0%	1	`(*.f64 x y)`
100.0%	1	`(/.f64 (*.f64 x y) #s(literal 2 binary64))`
100.0%	1	`(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))`
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`

Compiler

Compiled 23 to 33 computations (-43.5% saved)

regimes22.0ms (1.2%)

Memory

35.8MiB live, 35.8MiB allocated; 0ms collecting garbage

Counts

3 → 3

Calls

Call 1

Inputs

#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z))

#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))

#s(approx (- (/ (* x y) 2) (/ z 8)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 8 binary64) z)))

Outputs

#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))

#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z))

#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))

Calls

7 calls:

3.0ms	(/.f64 z #s(literal 8 binary64))
3.0ms	z
3.0ms	y
3.0ms	(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
3.0ms	x

Results

Accuracy	Segments	Branch
72.6%	3	`(/.f64 z #s(literal 8 binary64))`
78.3%	3	`(*.f64 x y)`
78.3%	3	`(/.f64 (*.f64 x y) #s(literal 2 binary64))`
63.7%	3	`(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))`
75.2%	3	`x`
74.1%	3	`y`
72.6%	3	`z`

Compiler

Compiled 23 to 33 computations (-43.5% saved)

regimes13.0ms (0.7%)

Memory

-26.0MiB live, 20.4MiB allocated; 3ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z))

Outputs
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z))

Calls

7 calls:

4.0ms	x
2.0ms	(/.f64 (*.f64 x y) #s(literal 2 binary64))
2.0ms	(*.f64 x y)
1.0ms	(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
1.0ms	y

Results

Accuracy	Segments	Branch
51.4%	1	`(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))`
51.4%	1	`(/.f64 z #s(literal 8 binary64))`
51.4%	1	`z`
51.4%	1	`y`
51.4%	1	`x`
51.4%	1	`(*.f64 x y)`
51.4%	1	`(/.f64 (*.f64 x y) #s(literal 2 binary64))`

Compiler

Compiled 23 to 33 computations (-43.5% saved)

bsearch1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.979666825706159e-13	0.0015493605215449397
0.0ms	-1.7335419646968393e-57	-3.2283152932212806e-58

Compiler

Compiled 12 to 15 computations (-25% saved)

derivations9.0ms (0.5%)

Memory

14.5MiB live, 14.6MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 32 to 27 computations (15.6% saved)

preprocess56.0ms (3.1%)

Memory: 19.2MiB live, 68.5MiB allocated; 14ms collecting garbage
Remove: (sort x y)
Compiler: Compiled 139 to 124 computations (10.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze1.0ms (0%)

sample1.1s (62.3%)

preprocess144.0ms (8%)

series12.0ms (0.7%)

rewrite70.0ms (3.9%)

eval23.0ms (1.3%)

prune5.0ms (0.3%)

series24.0ms (1.3%)

rewrite109.0ms (6.1%)

eval18.0ms (1%)

prune11.0ms (0.6%)

series18.0ms (1%)

rewrite64.0ms (3.6%)

eval32.0ms (1.8%)

prune7.0ms (0.4%)

regimes35.0ms (2%)

regimes22.0ms (1.2%)

regimes13.0ms (0.7%)

bsearch1.0ms (0%)

derivations9.0ms (0.5%)

preprocess56.0ms (3.1%)

end0.0ms (0%)

Profiling