Metrics for Graphics.Rasterific.QuadraticFormula:discriminant from Rasterific-0.6.1

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.1MiB live, 0.1MiB 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 10 computations (9.1% saved)

sample534.0ms (5.2%)

Memory

3.7MiB live, 189.5MiB allocated; 39ms collecting garbage

Samples

328.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 159.0ms

ival-mult!: 140.0ms (88.1% of total)

ival-sub!: 17.0ms (10.7% of total)

adjust: 2.0ms (1.3% of total)

Bogosity

preprocess66.0ms (0.6%)

Memory

7.6MiB live, 7.6MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	94
1	116	90
2	356	90
3	742	90
4	1182	90
5	3630	90

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.3%	(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))

Symmetry

(abs x)

(sort y z)

Compiler

Compiled 16 to 16 computations (0% saved)

series161.0ms (1.6%)

Memory

11.3MiB live, 11.3MiB allocated; 0ms collecting garbage

Counts

8 → 14

Calls

Call 1

Inputs
(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))
(*.f64 x x)
x
(.f64 (.f64 y #s(literal 4 binary64)) z)
(*.f64 y #s(literal 4 binary64))
y
#s(literal 4 binary64)
z

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

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	y	@	-inf	((- (* x x) (* (* y 4) z)) (* x x) x (* (* y 4) z) (* y 4) y 4 z)
1.0ms	y	@	0	((- (* x x) (* (* y 4) z)) (* x x) x (* (* y 4) z) (* y 4) y 4 z)
1.0ms	y	@	inf	((- (* x x) (* (* y 4) z)) (* x x) x (* (* y 4) z) (* y 4) y 4 z)
1.0ms	x	@	inf	((- (* x x) (* (* y 4) z)) (* x x) x (* (* y 4) z) (* y 4) y 4 z)
1.0ms	z	@	inf	((- (* x x) (* (* y 4) z)) (* x x) x (* (* y 4) z) (* y 4) y 4 z)

rewrite5.4s (51.9%)

Memory

-346.4MiB live, 393.8MiB allocated; 4.3s collecting garbage

Counts

8 → 70

Calls

Call 1

Inputs
(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))
(*.f64 x x)
x
(.f64 (.f64 y #s(literal 4 binary64)) z)
(*.f64 y #s(literal 4 binary64))
y
#s(literal 4 binary64)
z

Outputs
(+.f64 (neg.f64 (.f64 (.f64 y #s(literal 4 binary64)) z)) (*.f64 x x))
(+.f64 (.f64 x x) (neg.f64 (.f64 (*.f64 y #s(literal 4 binary64)) z)))
(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))
(-.f64 (neg.f64 (.f64 (.f64 y #s(literal 4 binary64)) z)) (neg.f64 (*.f64 x x)))
(fma.f64 (.f64 z #s(literal 4 binary64)) (neg.f64 y) (.f64 x x))
(fma.f64 (.f64 y #s(literal 4 binary64)) (neg.f64 z) (.f64 x x))
(fma.f64 (.f64 z y) (neg.f64 #s(literal 4 binary64)) (.f64 x x))
(fma.f64 (neg.f64 #s(literal 4 binary64)) (.f64 z y) (.f64 x x))
(fma.f64 (neg.f64 y) (.f64 z #s(literal 4 binary64)) (.f64 x x))
(fma.f64 (neg.f64 z) (.f64 y #s(literal 4 binary64)) (.f64 x x))
(fma.f64 (neg.f64 (.f64 y #s(literal 4 binary64))) z (.f64 x x))
(fma.f64 (neg.f64 (.f64 z #s(literal 4 binary64))) y (.f64 x x))
(fma.f64 (neg.f64 (.f64 z y)) #s(literal 4 binary64) (.f64 x x))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (neg.f64 (.f64 (.f64 y #s(literal 4 binary64)) z)))
(fma.f64 #s(literal 4 binary64) (neg.f64 (.f64 z y)) (.f64 x x))
(fma.f64 y (neg.f64 (.f64 z #s(literal 4 binary64))) (.f64 x x))
(fma.f64 z (neg.f64 (.f64 y #s(literal 4 binary64))) (.f64 x x))
(fma.f64 x x (neg.f64 (.f64 (.f64 y #s(literal 4 binary64)) z)))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (neg.f64 (.f64 (.f64 y #s(literal 4 binary64)) z)))
(fma.f64 (neg.f64 x) (neg.f64 x) (neg.f64 (.f64 (.f64 y #s(literal 4 binary64)) z)))
(neg.f64 (-.f64 (.f64 (.f64 y #s(literal 4 binary64)) z) (*.f64 x x)))
(*.f64 x x)
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(fabs.f64 (*.f64 x x))
(fabs.f64 (neg.f64 (*.f64 x x)))
(fabs.f64 (*.f64 (fabs.f64 x) (neg.f64 x)))
(fabs.f64 (*.f64 (fabs.f64 x) x))
(neg.f64 (neg.f64 (*.f64 x x)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal 1/2 binary64))
(pow.f64 (.f64 (.f64 x x) (*.f64 x x)) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(pow.f64 (.f64 (.f64 x x) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(pow.f64 (.f64 (.f64 x x) (*.f64 x x)) (/.f64 (+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(pow.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))
(pow.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (*.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(literal 2 binary64)))
(sqrt.f64 (.f64 (.f64 x x) (*.f64 x x)))
x
(neg.f64 (neg.f64 x))
(.f64 (.f64 y #s(literal 4 binary64)) z)
(.f64 (.f64 z #s(literal 4 binary64)) y)
(.f64 (.f64 z y) #s(literal 4 binary64))
(.f64 #s(literal 4 binary64) (.f64 z y))
(.f64 y (.f64 z #s(literal 4 binary64)))
(.f64 z (.f64 y #s(literal 4 binary64)))
(.f64 (neg.f64 (.f64 y #s(literal 4 binary64))) (neg.f64 z))
(.f64 (neg.f64 (.f64 z #s(literal 4 binary64))) (neg.f64 y))
(.f64 (neg.f64 (.f64 z y)) (neg.f64 #s(literal 4 binary64)))
(.f64 (neg.f64 #s(literal 4 binary64)) (neg.f64 (.f64 z y)))
(.f64 (neg.f64 y) (neg.f64 (.f64 z #s(literal 4 binary64))))
(.f64 (neg.f64 z) (neg.f64 (.f64 y #s(literal 4 binary64))))
(neg.f64 (neg.f64 (.f64 (.f64 y #s(literal 4 binary64)) z)))
(*.f64 y #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) y)
(*.f64 (neg.f64 #s(literal 4 binary64)) (neg.f64 y))
(*.f64 (neg.f64 y) (neg.f64 #s(literal 4 binary64)))
(neg.f64 (neg.f64 (*.f64 y #s(literal 4 binary64))))
y
(neg.f64 (neg.f64 y))
#s(literal 4 binary64)
(neg.f64 (neg.f64 #s(literal 4 binary64)))
z
(neg.f64 (neg.f64 z))

eval7.0ms (0.1%)

Memory: 13.4MiB live, 13.4MiB allocated; 0ms collecting garbage
Compiler: Compiled 412 to 207 computations (49.8% saved)

prune4.0ms (0%)

Memory

4.8MiB live, 4.8MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	73	3	76
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	73	4	77

Accuracy

100.0%

Counts

77 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.2%	(fma.f64 (.f64 z #s(literal 4 binary64)) (neg.f64 y) (.f64 x x))
▶	98.1%	(fma.f64 x x (neg.f64 (.f64 (.f64 y #s(literal 4 binary64)) z)))
✓	97.3%	(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))
▶	52.5%	#s(approx (- (* x x) (* (* y 4) z)) (.f64 #s(literal -4 binary64) (.f64 y z)))

Compiler

Compiled 36 to 36 computations (0% saved)

series202.0ms (2%)

Memory

19.8MiB live, 65.6MiB allocated; 24ms collecting garbage

Counts

16 → 21

Calls

Call 1

Inputs
#s(approx (- (* x x) (* (* y 4) z)) (.f64 #s(literal -4 binary64) (.f64 y z)))
(.f64 #s(literal -4 binary64) (.f64 y z))
#s(literal -4 binary64)
(*.f64 y z)
y
z
(fma.f64 x x (neg.f64 (.f64 (.f64 y #s(literal 4 binary64)) z)))
x
(neg.f64 (.f64 (.f64 y #s(literal 4 binary64)) z))
(.f64 (.f64 y #s(literal 4 binary64)) z)
(*.f64 y #s(literal 4 binary64))
#s(literal 4 binary64)
(fma.f64 (.f64 z #s(literal 4 binary64)) (neg.f64 y) (.f64 x x))
(*.f64 z #s(literal 4 binary64))
(neg.f64 y)
(*.f64 x x)

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

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	((- (* x x) (* (* y 4) z)) (* -4 (* y z)) -4 (* y z) y z (+ (* x x) (neg (* (* y 4) z))) x (neg (* (* y 4) z)) (* (* y 4) z) (* y 4) 4 (+ (* (* z 4) (neg y)) (* x x)) (* z 4) (neg y) (* x x))
1.0ms	z	@	-inf	((- (* x x) (* (* y 4) z)) (* -4 (* y z)) -4 (* y z) y z (+ (* x x) (neg (* (* y 4) z))) x (neg (* (* y 4) z)) (* (* y 4) z) (* y 4) 4 (+ (* (* z 4) (neg y)) (* x x)) (* z 4) (neg y) (* x x))
1.0ms	y	@	inf	((- (* x x) (* (* y 4) z)) (* -4 (* y z)) -4 (* y z) y z (+ (* x x) (neg (* (* y 4) z))) x (neg (* (* y 4) z)) (* (* y 4) z) (* y 4) 4 (+ (* (* z 4) (neg y)) (* x x)) (* z 4) (neg y) (* x x))
1.0ms	z	@	inf	((- (* x x) (* (* y 4) z)) (* -4 (* y z)) -4 (* y z) y z (+ (* x x) (neg (* (* y 4) z))) x (neg (* (* y 4) z)) (* (* y 4) z) (* y 4) 4 (+ (* (* z 4) (neg y)) (* x x)) (* z 4) (neg y) (* x x))
1.0ms	y	@	0	((- (* x x) (* (* y 4) z)) (* -4 (* y z)) -4 (* y z) y z (+ (* x x) (neg (* (* y 4) z))) x (neg (* (* y 4) z)) (* (* y 4) z) (* y 4) 4 (+ (* (* z 4) (neg y)) (* x x)) (* z 4) (neg y) (* x x))

rewrite1.8s (17.6%)

Memory

-5.2MiB live, 1 690.9MiB allocated; 535ms collecting garbage

Counts

16 → 128

Calls

Call 1

Inputs
#s(approx (- (* x x) (* (* y 4) z)) (.f64 #s(literal -4 binary64) (.f64 y z)))
(.f64 #s(literal -4 binary64) (.f64 y z))
#s(literal -4 binary64)
(*.f64 y z)
y
z
(fma.f64 x x (neg.f64 (.f64 (.f64 y #s(literal 4 binary64)) z)))
x
(neg.f64 (.f64 (.f64 y #s(literal 4 binary64)) z))
(.f64 (.f64 y #s(literal 4 binary64)) z)
(*.f64 y #s(literal 4 binary64))
#s(literal 4 binary64)
(fma.f64 (.f64 z #s(literal 4 binary64)) (neg.f64 y) (.f64 x x))
(*.f64 z #s(literal 4 binary64))
(neg.f64 y)
(*.f64 x x)

Outputs
#s(approx (- (* x x) (* y (* 4 z))) (.f64 #s(literal -4 binary64) (.f64 y z)))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 (.f64 z #s(literal -4 binary64)) y)
(.f64 (.f64 y #s(literal -4 binary64)) z)
(.f64 (.f64 y z) #s(literal -4 binary64))
(.f64 y (.f64 z #s(literal -4 binary64)))
(.f64 z (.f64 y #s(literal -4 binary64)))
(.f64 (neg.f64 (.f64 y #s(literal -4 binary64))) (neg.f64 z))
(.f64 (neg.f64 (.f64 z #s(literal -4 binary64))) (neg.f64 y))
(.f64 (neg.f64 y) (neg.f64 (.f64 z #s(literal -4 binary64))))
(.f64 (neg.f64 z) (neg.f64 (.f64 y #s(literal -4 binary64))))
(neg.f64 (neg.f64 (.f64 #s(literal -4 binary64) (.f64 y z))))
#s(literal -4 binary64)
(*.f64 y z)
(*.f64 z y)
(*.f64 (neg.f64 y) (neg.f64 z))
(*.f64 (neg.f64 z) (neg.f64 y))
(neg.f64 (neg.f64 (*.f64 y z)))
y
(neg.f64 (neg.f64 y))
z
(neg.f64 (neg.f64 z))
(+.f64 (neg.f64 (.f64 (.f64 y #s(literal 4 binary64)) z)) (*.f64 x x))
(+.f64 (.f64 x x) (neg.f64 (.f64 (*.f64 y #s(literal 4 binary64)) z)))
(-.f64 (neg.f64 (.f64 (.f64 y #s(literal 4 binary64)) z)) (neg.f64 (*.f64 x x)))
(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))
(fma.f64 (.f64 z #s(literal 4 binary64)) (neg.f64 y) (.f64 x x))
(fma.f64 (.f64 y #s(literal 4 binary64)) (neg.f64 z) (.f64 x x))
(fma.f64 (.f64 y z) (neg.f64 #s(literal 4 binary64)) (.f64 x x))
(fma.f64 (neg.f64 #s(literal 4 binary64)) (.f64 y z) (.f64 x x))
(fma.f64 (neg.f64 y) (.f64 z #s(literal 4 binary64)) (.f64 x x))
(fma.f64 (neg.f64 z) (.f64 y #s(literal 4 binary64)) (.f64 x x))
(fma.f64 x x (neg.f64 (.f64 (.f64 y #s(literal 4 binary64)) z)))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (neg.f64 (.f64 (.f64 y #s(literal 4 binary64)) z)))
(fma.f64 (neg.f64 (.f64 y #s(literal 4 binary64))) z (.f64 x x))
(fma.f64 (neg.f64 (.f64 z #s(literal 4 binary64))) y (.f64 x x))
(fma.f64 (neg.f64 (.f64 y z)) #s(literal 4 binary64) (.f64 x x))
(fma.f64 #s(literal 4 binary64) (neg.f64 (.f64 y z)) (.f64 x x))
(fma.f64 y (neg.f64 (.f64 z #s(literal 4 binary64))) (.f64 x x))
(fma.f64 z (neg.f64 (.f64 y #s(literal 4 binary64))) (.f64 x x))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (neg.f64 (.f64 (.f64 y #s(literal 4 binary64)) z)))
(fma.f64 (neg.f64 x) (neg.f64 x) (neg.f64 (.f64 (.f64 y #s(literal 4 binary64)) z)))
(neg.f64 (-.f64 (.f64 (.f64 y #s(literal 4 binary64)) z) (*.f64 x x)))
x
(neg.f64 (neg.f64 x))
(.f64 (.f64 y #s(literal 4 binary64)) (neg.f64 z))
(.f64 (.f64 z #s(literal 4 binary64)) (neg.f64 y))
(.f64 (.f64 y z) (neg.f64 #s(literal 4 binary64)))
(.f64 (neg.f64 #s(literal 4 binary64)) (.f64 y z))
(.f64 (neg.f64 y) (.f64 z #s(literal 4 binary64)))
(.f64 (neg.f64 z) (.f64 y #s(literal 4 binary64)))
(.f64 (neg.f64 (.f64 y #s(literal 4 binary64))) z)
(.f64 (neg.f64 (.f64 z #s(literal 4 binary64))) y)
(.f64 (neg.f64 (.f64 y z)) #s(literal 4 binary64))
(.f64 #s(literal 4 binary64) (neg.f64 (.f64 y z)))
(.f64 y (neg.f64 (.f64 z #s(literal 4 binary64))))
(.f64 z (neg.f64 (.f64 y #s(literal 4 binary64))))
(neg.f64 (.f64 (.f64 y #s(literal 4 binary64)) z))
(.f64 (.f64 y #s(literal 4 binary64)) z)
(.f64 (.f64 z #s(literal 4 binary64)) y)
(.f64 (.f64 y z) #s(literal 4 binary64))
(.f64 #s(literal 4 binary64) (.f64 y z))
(.f64 y (.f64 z #s(literal 4 binary64)))
(.f64 z (.f64 y #s(literal 4 binary64)))
(.f64 (neg.f64 (.f64 y #s(literal 4 binary64))) (neg.f64 z))
(.f64 (neg.f64 (.f64 z #s(literal 4 binary64))) (neg.f64 y))
(.f64 (neg.f64 (.f64 y z)) (neg.f64 #s(literal 4 binary64)))
(.f64 (neg.f64 #s(literal 4 binary64)) (neg.f64 (.f64 y z)))
(.f64 (neg.f64 y) (neg.f64 (.f64 z #s(literal 4 binary64))))
(.f64 (neg.f64 z) (neg.f64 (.f64 y #s(literal 4 binary64))))
(neg.f64 (neg.f64 (.f64 (.f64 y #s(literal 4 binary64)) z)))
(*.f64 y #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) y)
(*.f64 (neg.f64 #s(literal 4 binary64)) (neg.f64 y))
(*.f64 (neg.f64 y) (neg.f64 #s(literal 4 binary64)))
(neg.f64 (neg.f64 (*.f64 y #s(literal 4 binary64))))
#s(literal 4 binary64)
(neg.f64 (neg.f64 #s(literal 4 binary64)))
(+.f64 (neg.f64 (.f64 (.f64 y #s(literal 4 binary64)) z)) (*.f64 x x))
(+.f64 (.f64 x x) (neg.f64 (.f64 (*.f64 y #s(literal 4 binary64)) z)))
(-.f64 (neg.f64 (.f64 (.f64 y #s(literal 4 binary64)) z)) (neg.f64 (*.f64 x x)))
(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))
(fma.f64 (.f64 z #s(literal 4 binary64)) (neg.f64 y) (.f64 x x))
(fma.f64 (.f64 y #s(literal 4 binary64)) (neg.f64 z) (.f64 x x))
(fma.f64 (.f64 y z) (neg.f64 #s(literal 4 binary64)) (.f64 x x))
(fma.f64 (neg.f64 #s(literal 4 binary64)) (.f64 y z) (.f64 x x))
(fma.f64 (neg.f64 y) (.f64 z #s(literal 4 binary64)) (.f64 x x))
(fma.f64 (neg.f64 z) (.f64 y #s(literal 4 binary64)) (.f64 x x))
(fma.f64 x x (neg.f64 (.f64 (.f64 y #s(literal 4 binary64)) z)))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (neg.f64 (.f64 (.f64 y #s(literal 4 binary64)) z)))
(fma.f64 (neg.f64 (.f64 y #s(literal 4 binary64))) z (.f64 x x))
(fma.f64 (neg.f64 (.f64 z #s(literal 4 binary64))) y (.f64 x x))
(fma.f64 (neg.f64 (.f64 y z)) #s(literal 4 binary64) (.f64 x x))
(fma.f64 #s(literal 4 binary64) (neg.f64 (.f64 y z)) (.f64 x x))
(fma.f64 y (neg.f64 (.f64 z #s(literal 4 binary64))) (.f64 x x))
(fma.f64 z (neg.f64 (.f64 y #s(literal 4 binary64))) (.f64 x x))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (neg.f64 (.f64 (.f64 y #s(literal 4 binary64)) z)))
(fma.f64 (neg.f64 x) (neg.f64 x) (neg.f64 (.f64 (.f64 y #s(literal 4 binary64)) z)))
(neg.f64 (-.f64 (.f64 (.f64 y #s(literal 4 binary64)) z) (*.f64 x x)))
(*.f64 z #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) z)
(*.f64 (neg.f64 #s(literal 4 binary64)) (neg.f64 z))
(*.f64 (neg.f64 z) (neg.f64 #s(literal 4 binary64)))
(neg.f64 (neg.f64 (*.f64 z #s(literal 4 binary64))))
(neg.f64 y)
(*.f64 x x)
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(fabs.f64 (*.f64 x x))
(fabs.f64 (neg.f64 (*.f64 x x)))
(fabs.f64 (*.f64 (fabs.f64 x) (neg.f64 x)))
(fabs.f64 (*.f64 (fabs.f64 x) x))
(neg.f64 (neg.f64 (*.f64 x x)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal 1/2 binary64))
(pow.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))
(pow.f64 (.f64 (.f64 x x) (*.f64 x x)) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(pow.f64 (.f64 (.f64 x x) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(pow.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (*.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(literal 2 binary64)))
(pow.f64 (.f64 (.f64 x x) (*.f64 x x)) (/.f64 (+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(pow.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 2 binary64))
(sqrt.f64 (.f64 (.f64 x x) (*.f64 x x)))

eval35.0ms (0.3%)

Memory: 40.9MiB live, 40.9MiB allocated; 0ms collecting garbage
Compiler: Compiled 656 to 348 computations (47% saved)

prune15.0ms (0.1%)

Memory

-32.9MiB live, 11.9MiB allocated; 7ms collecting garbage

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	121	1	122
Fresh	0	0	0
Picked	0	3	3
Done	0	1	1
Total	121	5	126

Accuracy

100.0%

Counts

126 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.2%	(fma.f64 (.f64 z #s(literal 4 binary64)) (neg.f64 y) (.f64 x x))
✓	98.1%	(fma.f64 x x (neg.f64 (.f64 (.f64 y #s(literal 4 binary64)) z)))
✓	97.3%	(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))
▶	52.5%	#s(approx (- (* x x) (* (* y 4) z)) (.f64 (.f64 z #s(literal -4 binary64)) y))
✓	52.5%	#s(approx (- (* x x) (* (* y 4) z)) (.f64 #s(literal -4 binary64) (.f64 y z)))

Compiler

Compiled 48 to 48 computations (0% saved)

series171.0ms (1.7%)

Memory

-8.3MiB live, 91.8MiB allocated; 30ms collecting garbage

Counts

6 → 12

Calls

Call 1

Inputs
#s(approx (- (* x x) (* (* y 4) z)) (.f64 (.f64 z #s(literal -4 binary64)) y))
(.f64 (.f64 z #s(literal -4 binary64)) y)
(*.f64 z #s(literal -4 binary64))
z
#s(literal -4 binary64)
y

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

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	z	@	-inf	((- (* x x) (* (* y 4) z)) (* (* z -4) y) (* z -4) z -4 y)
2.0ms	z	@	inf	((- (* x x) (* (* y 4) z)) (* (* z -4) y) (* z -4) z -4 y)
1.0ms	y	@	inf	((- (* x x) (* (* y 4) z)) (* (* z -4) y) (* z -4) z -4 y)
1.0ms	z	@	0	((- (* x x) (* (* y 4) z)) (* (* z -4) y) (* z -4) z -4 y)
1.0ms	y	@	-inf	((- (* x x) (* (* y 4) z)) (* (* z -4) y) (* z -4) z -4 y)

rewrite1.8s (17.3%)

Memory

36.7MiB live, 733.5MiB allocated; 188ms collecting garbage

Counts

6 → 20

Calls

Call 1

Inputs
#s(approx (- (* x x) (* (* y 4) z)) (.f64 (.f64 z #s(literal -4 binary64)) y))
(.f64 (.f64 z #s(literal -4 binary64)) y)
(*.f64 z #s(literal -4 binary64))
z
#s(literal -4 binary64)
y

Outputs
#s(approx (- (* x x) (* y (* z 4))) (.f64 (.f64 z #s(literal -4 binary64)) y))
(.f64 (.f64 z #s(literal -4 binary64)) y)
(.f64 (.f64 y #s(literal -4 binary64)) z)
(.f64 (.f64 z y) #s(literal -4 binary64))
(.f64 #s(literal -4 binary64) (.f64 z y))
(.f64 y (.f64 z #s(literal -4 binary64)))
(.f64 z (.f64 y #s(literal -4 binary64)))
(neg.f64 (.f64 (.f64 z #s(literal -4 binary64)) (neg.f64 y)))
(neg.f64 (.f64 (.f64 y #s(literal -4 binary64)) (neg.f64 z)))
(neg.f64 (.f64 (neg.f64 y) (.f64 z #s(literal -4 binary64))))
(neg.f64 (.f64 (neg.f64 z) (.f64 y #s(literal -4 binary64))))
(*.f64 z #s(literal -4 binary64))
(*.f64 #s(literal -4 binary64) z)
(neg.f64 (*.f64 #s(literal -4 binary64) (neg.f64 z)))
(neg.f64 (*.f64 (neg.f64 z) #s(literal -4 binary64)))
z
(neg.f64 (neg.f64 z))
#s(literal -4 binary64)
y
(neg.f64 (neg.f64 y))

eval6.0ms (0.1%)

Memory: 5.7MiB live, 5.7MiB allocated; 0ms collecting garbage
Compiler: Compiled 170 to 109 computations (35.9% saved)

prune6.0ms (0.1%)

Memory

6.2MiB live, 6.2MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	26	0	26
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	26	5	31

Accuracy

100.0%

Counts

31 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.2%	(fma.f64 (.f64 z #s(literal 4 binary64)) (neg.f64 y) (.f64 x x))
✓	98.1%	(fma.f64 x x (neg.f64 (.f64 (.f64 y #s(literal 4 binary64)) z)))
✓	97.3%	(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))
✓	52.5%	#s(approx (- (* x x) (* (* y 4) z)) (.f64 (.f64 z #s(literal -4 binary64)) y))
✓	52.5%	#s(approx (- (* x x) (* (* y 4) z)) (.f64 #s(literal -4 binary64) (.f64 y z)))

Compiler

Compiled 76 to 73 computations (3.9% saved)

regimes23.0ms (0.2%)

Memory

-24.8MiB live, 25.8MiB allocated; 10ms collecting garbage

Counts

5 → 1

Calls

Call 1

Inputs
#s(approx (- (* x x) (* (* y 4) z)) (.f64 #s(literal -4 binary64) (.f64 y z)))
#s(approx (- (* x x) (* (* y 4) z)) (.f64 (.f64 z #s(literal -4 binary64)) y))
(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))
(fma.f64 x x (neg.f64 (.f64 (.f64 y #s(literal 4 binary64)) z)))
(fma.f64 (.f64 z #s(literal 4 binary64)) (neg.f64 y) (.f64 x x))

Outputs
(fma.f64 (.f64 z #s(literal 4 binary64)) (neg.f64 y) (.f64 x x))

Calls

7 calls:

10.0ms	(.f64 (.f64 y #s(literal 4 binary64)) z)
2.0ms	(*.f64 y #s(literal 4 binary64))
2.0ms	z
2.0ms	(*.f64 x x)
2.0ms	y

Results

Accuracy	Segments	Branch
99.2%	1	`(*.f64 y #s(literal 4 binary64))`
99.2%	1	`(.f64 (.f64 y #s(literal 4 binary64)) z)`
99.2%	1	`(*.f64 x x)`
99.2%	1	`(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))`
99.2%	1	`x`
99.2%	1	`y`
99.2%	1	`z`

Compiler

Compiled 21 to 32 computations (-52.4% saved)

regimes13.0ms (0.1%)

Memory

23.2MiB live, 23.2MiB allocated; 0ms collecting garbage

Counts

4 → 1

Calls

Call 1

Inputs
#s(approx (- (* x x) (* (* y 4) z)) (.f64 #s(literal -4 binary64) (.f64 y z)))
#s(approx (- (* x x) (* (* y 4) z)) (.f64 (.f64 z #s(literal -4 binary64)) y))
(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))
(fma.f64 x x (neg.f64 (.f64 (.f64 y #s(literal 4 binary64)) z)))

Outputs
(fma.f64 x x (neg.f64 (.f64 (.f64 y #s(literal 4 binary64)) z)))

Calls

7 calls:

2.0ms	(*.f64 y #s(literal 4 binary64))
2.0ms	y
2.0ms	x
2.0ms	z
2.0ms	(.f64 (.f64 y #s(literal 4 binary64)) z)

Results

Accuracy	Segments	Branch
98.1%	1	`(*.f64 y #s(literal 4 binary64))`
98.1%	1	`(.f64 (.f64 y #s(literal 4 binary64)) z)`
98.1%	1	`(*.f64 x x)`
98.1%	1	`(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))`
98.1%	1	`x`
98.1%	1	`y`
98.1%	1	`z`

Compiler

Compiled 21 to 32 computations (-52.4% saved)

regimes60.0ms (0.6%)

Memory

16.5MiB live, 16.5MiB allocated; 0ms collecting garbage

Counts

3 → 1

Calls

Call 1

Inputs

#s(approx (- (* x x) (* (* y 4) z)) (*.f64 #s(literal -4 binary64) (*.f64 y z)))

#s(approx (- (* x x) (* (* y 4) z)) (*.f64 (*.f64 z #s(literal -4 binary64)) y))

(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) z))

Outputs
(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))

Calls

7 calls:

3.0ms	(*.f64 y #s(literal 4 binary64))
1.0ms	x
1.0ms	z
1.0ms	y
1.0ms	(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))

Results

Accuracy	Segments	Branch
97.3%	1	`(*.f64 y #s(literal 4 binary64))`
97.3%	1	`(.f64 (.f64 y #s(literal 4 binary64)) z)`
97.3%	1	`(*.f64 x x)`
97.3%	1	`(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))`
97.3%	1	`x`
97.3%	1	`y`
97.3%	1	`z`

Compiler

Compiled 21 to 32 computations (-52.4% saved)

regimes23.0ms (0.2%)

Memory

-32.7MiB live, 13.5MiB allocated; 16ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(approx (- (* x x) (* (* y 4) z)) (.f64 #s(literal -4 binary64) (.f64 y z)))
#s(approx (- (* x x) (* (* y 4) z)) (.f64 (.f64 z #s(literal -4 binary64)) y))

Outputs
#s(approx (- (* x x) (* (* y 4) z)) (.f64 #s(literal -4 binary64) (.f64 y z)))

Calls

7 calls:

9.0ms	y
2.0ms	z
2.0ms	x
2.0ms	(*.f64 y #s(literal 4 binary64))
2.0ms	(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))

Results

Accuracy	Segments	Branch
52.5%	1	`(*.f64 y #s(literal 4 binary64))`
52.5%	1	`(.f64 (.f64 y #s(literal 4 binary64)) z)`
52.5%	1	`(*.f64 x x)`
52.5%	1	`(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))`
52.5%	1	`x`
52.5%	1	`y`
52.5%	1	`z`

Compiler

Compiled 21 to 32 computations (-52.4% saved)

derivations1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 25 to 22 computations (12% saved)

preprocess38.0ms (0.4%)

Memory

1.3MiB live, 46.6MiB allocated; 7ms collecting garbage

Remove

(sort y z)

(abs x)

Compiler

Compiled 177 to 174 computations (1.7% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample534.0ms (5.2%)

preprocess66.0ms (0.6%)

series161.0ms (1.6%)

rewrite5.4s (51.9%)

eval7.0ms (0.1%)

prune4.0ms (0%)

series202.0ms (2%)

rewrite1.8s (17.6%)

eval35.0ms (0.3%)

prune15.0ms (0.1%)

series171.0ms (1.7%)

rewrite1.8s (17.3%)

eval6.0ms (0.1%)

prune6.0ms (0.1%)

regimes23.0ms (0.2%)

regimes13.0ms (0.1%)

regimes60.0ms (0.6%)

regimes23.0ms (0.2%)

derivations1.0ms (0%)

preprocess38.0ms (0.4%)

end0.0ms (0%)

Profiling