Metrics for Diagrams.TwoD.Apollonian:initialConfig from diagrams-contrib-1.3.0.5, A

start0.0ms (0%)

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

analyze39.0ms (1%)

Memory

12.5MiB live, 58.7MiB allocated; 6ms collecting garbage

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
50%	49.9%	49.9%	0.1%	0%	0%	0%	3
50%	49.9%	49.9%	0.1%	0%	0%	0%	4
50%	49.9%	49.9%	0.1%	0%	0%	0%	5
75%	74.9%	25%	0.1%	0%	0%	0%	6
75%	74.9%	25%	0.1%	0%	0%	0%	7
75%	74.9%	25%	0.1%	0%	0%	0%	8
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	9
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	10
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	11
93.8%	93.6%	6.2%	0.1%	0%	0%	0%	12

Compiler

Compiled 17 to 13 computations (23.5% saved)

sample1.2s (32.1%)

Memory

-29.8MiB live, 986.0MiB allocated; 319ms collecting garbage

Samples

771.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 377.0ms

ival-mult!: 254.0ms (67.4% of total)

ival-div!: 73.0ms (19.4% of total)

ival-add!: 31.0ms (8.2% of total)

ival-sub!: 18.0ms (4.8% of total)

adjust: 2.0ms (0.5% of total)

Bogosity

preprocess119.0ms (3.2%)

Memory

19.3MiB live, 64.8MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	40	153
1	217	134
2	1381	130
3	7367	130

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	66.9%	(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))

Symmetry

(abs x)

(abs z)

(negabs y)

Compiler

Compiled 30 to 22 computations (26.7% saved)

series169.0ms (4.5%)

Memory

10.6MiB live, 101.2MiB allocated; 20ms collecting garbage

Counts

11 → 31

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable	Point
11.0ms	z	inf
3.0ms	y	0
3.0ms	y	inf
3.0ms	x	inf
2.0ms	x	0

rewrite250.0ms (6.7%)

Memory

12.3MiB live, 150.6MiB allocated; 56ms collecting garbage

Counts

11 → 42

Calls

Call 1

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

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

eval10.0ms (0.3%)

Memory: -28.2MiB live, 16.4MiB allocated; 7ms collecting garbage
Compiler: Compiled 1 356 to 246 computations (81.9% saved)

prune4.0ms (0.1%)

Memory

11.7MiB live, 11.7MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	58	6	64
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	59	6	65

Accuracy

95.2%

Counts

65 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	69.7%	(/.f64 (fma.f64 x x (-.f64 (.f64 y y) (.f64 z z))) (*.f64 y #s(literal 2 binary64)))
▶	69.6%	(.f64 (fma.f64 x x (-.f64 (.f64 y y) (.f64 z z))) (/.f64 #s(literal 1 binary64) (.f64 y #s(literal 2 binary64))))
	69.6%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 y (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))))
▶	24.7%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
▶	35.8%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
▶	37.9%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))

Compiler

Compiled 256 to 184 computations (28.1% saved)

series179.0ms (4.8%)

Memory

-4.1MiB live, 141.4MiB allocated; 26ms collecting garbage

Counts

25 → 35

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable	Point
9.0ms	z	inf
3.0ms	x	inf
3.0ms	y	-inf
2.0ms	y	inf
2.0ms	y	0

rewrite232.0ms (6.2%)

Memory

-8.2MiB live, 135.7MiB allocated; 28ms collecting garbage

Counts

25 → 88

Calls

Call 1

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

Outputs
(.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 y #s(literal 2 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 y #s(literal 2 binary64))) (fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x)))
(+.f64 (/.f64 (.f64 x x) (.f64 y #s(literal 2 binary64))) (/.f64 (.f64 (+.f64 y z) (-.f64 y z)) (.f64 y #s(literal 2 binary64))))
(-.f64 (/.f64 (fma.f64 x x (.f64 y y)) (.f64 y #s(literal 2 binary64))) (/.f64 (.f64 z z) (.f64 y #s(literal 2 binary64))))
(/.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (.f64 x x)) (.f64 y #s(literal 2 binary64)))
(/.f64 (.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (.f64 x x)) #s(literal 1 binary64)) (*.f64 y #s(literal 2 binary64)))
(/.f64 (/.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x)) y) #s(literal 2 binary64))
(/.f64 (neg.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (.f64 x x))) (neg.f64 (.f64 y #s(literal 2 binary64))))
(+.f64 (fma.f64 x x (.f64 y y)) (neg.f64 (.f64 z z)))
(+.f64 (fma.f64 x x (.f64 y y)) (.f64 (neg.f64 z) z))
(+.f64 (.f64 (+.f64 y z) (-.f64 y z)) (.f64 x x))
(+.f64 (.f64 x x) (.f64 (+.f64 y z) (-.f64 y z)))
(-.f64 (fma.f64 x x (.f64 y y)) (.f64 z z))
(-.f64 (.f64 x x) (neg.f64 (.f64 (+.f64 y z) (-.f64 y z))))
(fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x))
(fma.f64 x x (*.f64 (+.f64 y z) (-.f64 y z)))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (+.f64 y z) (-.f64 y z)))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 (+.f64 y z) (-.f64 y z)))
(neg.f64 (-.f64 (.f64 z z) (fma.f64 x x (.f64 y y))))
x
(*.f64 (+.f64 y z) (-.f64 y z))
(+.f64 (.f64 y y) (neg.f64 (.f64 z z)))
(+.f64 (.f64 y y) (.f64 (neg.f64 z) z))
(-.f64 (.f64 y y) (.f64 z z))
(fma.f64 y y (neg.f64 (*.f64 z z)))
(fma.f64 (neg.f64 y) (neg.f64 y) (neg.f64 (*.f64 z z)))
(fma.f64 (fabs.f64 y) (fabs.f64 y) (neg.f64 (*.f64 z z)))
(fma.f64 y y (*.f64 (neg.f64 z) z))
(fma.f64 (neg.f64 y) (neg.f64 y) (*.f64 (neg.f64 z) z))
(fma.f64 (fabs.f64 y) (fabs.f64 y) (*.f64 (neg.f64 z) z))
(neg.f64 (-.f64 (.f64 z z) (.f64 y y)))
(*.f64 y y)
(*.f64 (fabs.f64 y) (fabs.f64 y))
(*.f64 (neg.f64 y) (neg.f64 y))
(pow.f64 y #s(literal 2 binary64))
y
(*.f64 z z)
(*.f64 (fabs.f64 z) (fabs.f64 z))
(*.f64 (neg.f64 z) (neg.f64 z))
(pow.f64 z #s(literal 2 binary64))
z
(*.f64 y #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) y)
#s(literal 2 binary64)
(+.f64 #s(literal 1 binary64) #s(literal 1 binary64))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 y #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 z z)) y))
(.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y))
(.f64 (/.f64 (.f64 z z) y) #s(literal -1/2 binary64))
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 z z)) y)
#s(literal -1/2 binary64)
(.f64 (.f64 z z) (/.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 z z) y)
(/.f64 (neg.f64 (*.f64 z z)) (neg.f64 y))
(*.f64 z z)
(*.f64 (fabs.f64 z) (fabs.f64 z))
(*.f64 (neg.f64 z) (neg.f64 z))
(pow.f64 z #s(literal 2 binary64))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) y))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x x) y))
(.f64 (/.f64 (.f64 x x) y) #s(literal 1/2 binary64))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) y)
(.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 x x) y)
(/.f64 (neg.f64 (*.f64 x x)) (neg.f64 y))
(*.f64 x x)
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(pow.f64 x #s(literal 2 binary64))
(.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 y #s(literal 2 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 y #s(literal 2 binary64))) (fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x)))
(+.f64 (/.f64 (.f64 x x) (.f64 y #s(literal 2 binary64))) (/.f64 (.f64 (+.f64 y z) (-.f64 y z)) (.f64 y #s(literal 2 binary64))))
(-.f64 (/.f64 (fma.f64 x x (.f64 y y)) (.f64 y #s(literal 2 binary64))) (/.f64 (.f64 z z) (.f64 y #s(literal 2 binary64))))
(/.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (.f64 x x)) (.f64 y #s(literal 2 binary64)))
(/.f64 (.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (.f64 x x)) #s(literal 1 binary64)) (*.f64 y #s(literal 2 binary64)))
(/.f64 (/.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x)) y) #s(literal 2 binary64))
(/.f64 (neg.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (.f64 x x))) (neg.f64 (.f64 y #s(literal 2 binary64))))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 y #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 y #s(literal 2 binary64))))
(pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1 binary64))
#s(literal 1 binary64)
(cosh.f64 #s(literal 0 binary64))
(exp.f64 #s(literal 0 binary64))

eval17.0ms (0.4%)

Memory: 29.9MiB live, 29.9MiB allocated; 0ms collecting garbage
Compiler: Compiled 3 201 to 416 computations (87% saved)

prune11.0ms (0.3%)

Memory

-27.6MiB live, 19.3MiB allocated; 3ms collecting garbage

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	144	6	150
Fresh	0	1	1
Picked	4	1	5
Done	0	0	0
Total	148	8	156

Accuracy

95.2%

Counts

156 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	70.8%	(/.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (.f64 x x)) (.f64 y #s(literal 2 binary64)))
	70.8%	(.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 y #s(literal 2 binary64))))
▶	24.7%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) y))
▶	37.9%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 z z)) y))
	69.6%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 y (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))))
▶	24.7%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) y))))
✓	35.8%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
▶	37.9%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal -1/2 binary64) (.f64 (*.f64 z z) (/.f64 #s(literal 1 binary64) y))))

Compiler

Compiled 337 to 238 computations (29.4% saved)

series259.0ms (7%)

Memory

-24.2MiB live, 142.8MiB allocated; 225ms collecting garbage

Counts

27 → 64

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable	Point
5.0ms	y	inf
4.0ms	z	inf
3.0ms	x	inf
3.0ms	x	-inf
3.0ms	y	-inf

rewrite185.0ms (5%)

Memory

44.2MiB live, 136.2MiB allocated; 30ms collecting garbage

Counts

27 → 89

Calls

Call 1

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

Outputs
(.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 y #s(literal 2 binary64))))
(+.f64 (/.f64 (.f64 (+.f64 y z) (-.f64 y z)) (.f64 y #s(literal 2 binary64))) (/.f64 (.f64 x x) (.f64 y #s(literal 2 binary64))))
(-.f64 (/.f64 (fma.f64 x x (.f64 y y)) (.f64 y #s(literal 2 binary64))) (/.f64 (.f64 z z) (.f64 y #s(literal 2 binary64))))
(/.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (.f64 x x)) (.f64 y #s(literal 2 binary64)))
(/.f64 (/.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x)) y) #s(literal 2 binary64))
(/.f64 (neg.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (.f64 x x))) (neg.f64 (.f64 y #s(literal 2 binary64))))
(+.f64 (.f64 (+.f64 y z) (-.f64 y z)) (.f64 x x))
(+.f64 (fma.f64 x x (.f64 y y)) (neg.f64 (.f64 z z)))
(+.f64 (fma.f64 x x (.f64 y y)) (.f64 (neg.f64 z) z))
(+.f64 (.f64 x x) (.f64 (+.f64 y z) (-.f64 y z)))
(-.f64 (fma.f64 x x (.f64 y y)) (.f64 z z))
(-.f64 (.f64 (+.f64 y z) (-.f64 y z)) (neg.f64 (.f64 x x)))
(-.f64 (.f64 (+.f64 y z) (-.f64 y z)) (.f64 (neg.f64 x) x))
(fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x))
(fma.f64 (-.f64 y z) (+.f64 y z) (*.f64 x x))
(fma.f64 x x (*.f64 (+.f64 y z) (-.f64 y z)))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (+.f64 y z) (-.f64 y z)))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 (+.f64 y z) (-.f64 y z)))
(neg.f64 (-.f64 (.f64 z z) (fma.f64 x x (.f64 y y))))
(+.f64 y z)
(+.f64 z y)
(-.f64 y (neg.f64 z))
y
z
(+.f64 y (neg.f64 z))
(-.f64 y z)
(neg.f64 (-.f64 z y))
(*.f64 x x)
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(pow.f64 x #s(literal 2 binary64))
x
(*.f64 y #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) y)
#s(literal 2 binary64)
(+.f64 #s(literal 1 binary64) #s(literal 1 binary64))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 z z)) y))
(.f64 (/.f64 (.f64 z z) y) #s(literal -1/2 binary64))
(.f64 (.f64 #s(literal -1/2 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) y))
(.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y))
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 z z)) y)
(/.f64 (neg.f64 (.f64 #s(literal -1/2 binary64) (.f64 z z))) (neg.f64 y))
(.f64 #s(literal -1/2 binary64) (.f64 z z))
(.f64 (.f64 z z) #s(literal -1/2 binary64))
(.f64 (.f64 #s(literal -1/2 binary64) z) z)
#s(literal -1/2 binary64)
(*.f64 z z)
(*.f64 (fabs.f64 z) (fabs.f64 z))
(*.f64 (neg.f64 z) (neg.f64 z))
(pow.f64 z #s(literal 2 binary64))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) y))
(.f64 (/.f64 (.f64 x x) y) #s(literal 1/2 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) y))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x x) y))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) y)
(/.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x))) (neg.f64 y))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) x) x)
#s(literal 1/2 binary64)
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 z z)) y))
(.f64 (/.f64 (.f64 z z) y) #s(literal -1/2 binary64))
(.f64 (.f64 #s(literal -1/2 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) y))
(.f64 #s(literal -1/2 binary64) (/.f64 (.f64 z z) y))
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 z z)) y)
(/.f64 (neg.f64 (.f64 #s(literal -1/2 binary64) (.f64 z z))) (neg.f64 y))
(.f64 (.f64 z z) (/.f64 #s(literal 1 binary64) y))
(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 z z))
(.f64 z (.f64 z (/.f64 #s(literal 1 binary64) y)))
(/.f64 (*.f64 z z) y)
(/.f64 (.f64 (.f64 z z) #s(literal 1 binary64)) y)
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) y)
(/.f64 #s(literal -1 binary64) (neg.f64 y))
(pow.f64 y #s(literal -1 binary64))
#s(literal 1 binary64)
(cosh.f64 #s(literal 0 binary64))
(exp.f64 #s(literal 0 binary64))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) y))
(.f64 (/.f64 (.f64 x x) y) #s(literal 1/2 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) y))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x x) y))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) y)
(/.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x))) (neg.f64 y))
(.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) y))
(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x x))
(.f64 x (.f64 x (/.f64 #s(literal 1 binary64) y)))
(/.f64 (*.f64 x x) y)
(/.f64 (.f64 (.f64 x x) #s(literal 1 binary64)) y)

eval18.0ms (0.5%)

Memory: -18.3MiB live, 33.8MiB allocated; 5ms collecting garbage
Compiler: Compiled 3 528 to 564 computations (84% saved)

prune12.0ms (0.3%)

Memory

-26.0MiB live, 20.8MiB allocated; 3ms collecting garbage

Pruning

11 alts after pruning (6 fresh and 5 done)

	Pruned	Kept	Total
New	136	4	140
Fresh	0	2	2
Picked	1	4	5
Done	0	1	1
Total	137	11	148

Accuracy

99.8%

Counts

148 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	70.8%	(/.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (.f64 x x)) (.f64 y #s(literal 2 binary64)))
▶	58.3%	(/.f64 (fma.f64 #s(approx (+ y z) z) (-.f64 y z) (.f64 x x)) (.f64 y #s(literal 2 binary64)))
▶	53.4%	(/.f64 #s(approx (+ (* (+ y z) (- y z)) (* x x)) (.f64 (+.f64 y z) (-.f64 y z))) (.f64 y #s(literal 2 binary64)))
▶	70.8%	(.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 y #s(literal 2 binary64))))
✓	24.7%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) y))
✓	37.9%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 z z)) y))
	69.6%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 y (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))))
✓	24.7%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) y))))
▶	26.6%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x (/.f64 #s(literal 1 binary64) y)))))
✓	35.8%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
▶	40.3%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal -1/2 binary64) (.f64 z (*.f64 z (/.f64 #s(literal 1 binary64) y)))))

Compiler

Compiled 380 to 266 computations (30% saved)

series178.0ms (4.8%)

Memory

27.0MiB live, 170.9MiB allocated; 19ms collecting garbage

Counts

29 → 72

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable	Point
3.0ms	y	-inf
3.0ms	y	0
3.0ms	y	inf
2.0ms	x	inf
2.0ms	x	-inf

rewrite213.0ms (5.7%)

Memory

9.1MiB live, 313.0MiB allocated; 79ms collecting garbage

Counts

29 → 82

Calls

Call 1

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

Outputs
(.f64 (/.f64 #s(literal 1 binary64) (.f64 y #s(literal 2 binary64))) (fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x)))
(.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 y #s(literal 2 binary64))))
(+.f64 (/.f64 (.f64 (+.f64 y z) (-.f64 y z)) (.f64 y #s(literal 2 binary64))) (/.f64 (.f64 x x) (.f64 y #s(literal 2 binary64))))
(-.f64 (/.f64 (fma.f64 x x (.f64 y y)) (.f64 y #s(literal 2 binary64))) (/.f64 (.f64 z z) (.f64 y #s(literal 2 binary64))))
(/.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (.f64 x x)) (.f64 y #s(literal 2 binary64)))
(/.f64 (.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (.f64 x x)) #s(literal 1 binary64)) (*.f64 y #s(literal 2 binary64)))
(/.f64 (/.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x)) y) #s(literal 2 binary64))
(/.f64 (neg.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (.f64 x x))) (neg.f64 (.f64 y #s(literal 2 binary64))))
(+.f64 (.f64 (+.f64 y z) (-.f64 y z)) (.f64 x x))
(+.f64 (fma.f64 x x (.f64 y y)) (neg.f64 (.f64 z z)))
(+.f64 (fma.f64 x x (.f64 y y)) (.f64 (neg.f64 z) z))
(+.f64 (.f64 x x) (.f64 (+.f64 y z) (-.f64 y z)))
(-.f64 (fma.f64 x x (.f64 y y)) (.f64 z z))
(-.f64 (.f64 (+.f64 y z) (-.f64 y z)) (neg.f64 (.f64 x x)))
(-.f64 (.f64 (+.f64 y z) (-.f64 y z)) (.f64 (neg.f64 x) x))
(fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x))
(fma.f64 (-.f64 y z) (+.f64 y z) (*.f64 x x))
(fma.f64 x x (*.f64 (+.f64 y z) (-.f64 y z)))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (+.f64 y z) (-.f64 y z)))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 (+.f64 y z) (-.f64 y z)))
(neg.f64 (-.f64 (.f64 z z) (fma.f64 x x (.f64 y y))))
(+.f64 y z)
(+.f64 z y)
(-.f64 y (neg.f64 z))
y
z
(+.f64 y (neg.f64 z))
(-.f64 y z)
(neg.f64 (-.f64 z y))
(*.f64 x x)
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(pow.f64 x #s(literal 2 binary64))
x
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 y #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 y #s(literal 2 binary64))))
(pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1 binary64))
#s(literal 1 binary64)
(cosh.f64 #s(literal 0 binary64))
(exp.f64 #s(literal 0 binary64))
(*.f64 y #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) y)
#s(literal 2 binary64)
(+.f64 #s(literal 1 binary64) #s(literal 1 binary64))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y)))
(.f64 (.f64 #s(literal -1/2 binary64) z) (/.f64 z y))
(.f64 (.f64 z (/.f64 z y)) #s(literal -1/2 binary64))
(.f64 #s(literal -1/2 binary64) (.f64 z (/.f64 z y)))
#s(literal -1/2 binary64)
(*.f64 z (/.f64 z y))
(.f64 (.f64 z z) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 z y) z)
(*.f64 z (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) z)
(/.f64 z y)
(/.f64 (*.f64 z #s(literal 1 binary64)) y)
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) y)
(/.f64 #s(literal -1 binary64) (neg.f64 y))
(pow.f64 y #s(literal -1 binary64))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 x y)))
(.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 x y))
(.f64 (.f64 x (/.f64 x y)) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 x y)))
#s(literal 1/2 binary64)
(*.f64 x (/.f64 x y))
(.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) x)
(/.f64 x y)
(/.f64 (*.f64 x #s(literal 1 binary64)) y)
(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (.f64 (+.f64 y z) (-.f64 y z))) (.f64 y #s(literal 2 binary64)))
#s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 (+.f64 y z) (-.f64 y z)))
(*.f64 (+.f64 y z) (-.f64 y z))
(*.f64 (-.f64 y z) (+.f64 y z))
(-.f64 (.f64 y y) (.f64 z z))
(/.f64 (fma.f64 #s(approx (+ y z) z) (-.f64 y z) (.f64 x x)) (.f64 y #s(literal 2 binary64)))
(fma.f64 #s(approx (+ y z) z) (-.f64 y z) (*.f64 x x))
#s(approx (+ y z) z)

eval49.0ms (1.3%)

Memory: 1.2MiB live, 70.4MiB allocated; 44ms collecting garbage
Compiler: Compiled 4 648 to 677 computations (85.4% saved)

prune21.0ms (0.6%)

Memory

-13.6MiB live, 29.2MiB allocated; 15ms collecting garbage

Pruning

11 alts after pruning (4 fresh and 7 done)

	Pruned	Kept	Total
New	175	3	178
Fresh	0	1	1
Picked	2	3	5
Done	1	4	5
Total	178	11	189

Accuracy

99.8%

Counts

189 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	58.3%	(/.f64 (fma.f64 #s(approx (+ y z) z) (-.f64 y z) (.f64 x x)) (.f64 y #s(literal 2 binary64)))
✓	53.4%	(/.f64 #s(approx (+ (* (+ y z) (- y z)) (* x x)) (.f64 (+.f64 y z) (-.f64 y z))) (.f64 y #s(literal 2 binary64)))
	70.8%	(.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (.f64 x x)) #s(approx (/ 1 (* y 2)) (/.f64 #s(literal 1/2 binary64) y)))
✓	24.7%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) y))
✓	37.9%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 z z)) y))
	40.3%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 z (/.f64 z y)) #s(literal -1/2 binary64)))
	26.6%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 (.f64 x (/.f64 x y)) #s(literal 1/2 binary64)))
	69.6%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 y (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))))
✓	24.7%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) y))))
✓	35.8%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
✓	40.3%	#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (.f64 #s(literal -1/2 binary64) (.f64 z (*.f64 z (/.f64 #s(literal 1 binary64) y)))))

Compiler

Compiled 253 to 177 computations (30% saved)

regimes199.0ms (5.3%)

Memory

22.5MiB live, 160.7MiB allocated; 81ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

2 → 2

5 → 3

10 → 3

11 → 3

12 → 2

13 → 2

20 → 2

Calls

Call 1

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

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

Call 2

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

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

Call 3

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

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

Outputs

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

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

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

Call 4

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

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

Outputs

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

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

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

Call 5

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

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

Outputs

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

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

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

Call 6

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

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

Outputs

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

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

Call 7

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

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

Call 8

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

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

Calls

26 calls:

43.0ms	(*.f64 x x)
41.0ms	(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))
28.0ms	(*.f64 z z)
15.0ms	y
9.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
35.8%	1	`x`
35.8%	1	`(*.f64 x x)`
35.8%	1	`y`
35.8%	1	`(*.f64 z z)`
35.8%	1	`z`
48.3%	2	`(*.f64 x x)`
48.3%	2	`x`
49.8%	2	`y`
35.8%	1	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`
72.3%	3	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`
72.3%	3	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`
65.7%	2	`(*.f64 x x)`
65.7%	2	`x`
66.4%	3	`(*.f64 z z)`
66.4%	3	`z`
70.4%	2	`y`
72.3%	3	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`
82.1%	3	`y`
88.6%	2	`y`
88.6%	2	`y`
79.3%	3	`(*.f64 z z)`
79.4%	4	`(*.f64 x x)`
85.3%	3	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`
81.0%	5	`x`
89.0%	2	`y`
79.5%	3	`z`

Compiler

Compiled 534 to 218 computations (59.2% saved)

bsearch12.0ms (0.3%)

Memory

9.2MiB live, 9.2MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	8.066801486039292e+154	2.3923484170891524e+157

Samples

6.0ms

128×

valid

Compiler

Compiled 282 to 225 computations (20.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-mult!: 2.0ms (64.6% of total)

ival-div!: 1.0ms (32.3% of total)

ival-sub!: 0.0ms (0% of total)

adjust: 0.0ms (0% of total)

ival-add!: 0.0ms (0% of total)

bsearch4.0ms (0.1%)

Memory

3.2MiB live, 3.2MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
4.0ms	8.066801486039292e+154	2.3923484170891524e+157

Samples

2.0ms

32×

valid

Compiler

Compiled 282 to 225 computations (20.2% saved)

Precisions

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

ival-mult!: 1.0ms (126.7% of total)

ival-sub!: 0.0ms (0% of total)

adjust: 0.0ms (0% of total)

ival-add!: 0.0ms (0% of total)

ival-div!: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	8.066801486039292e+154	2.3923484170891524e+157

Compiler

Compiled 330 to 265 computations (19.7% saved)

bsearch15.0ms (0.4%)

Memory

-40.7MiB live, 9.3MiB allocated; 7ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	8.066801486039292e+154	2.3923484170891524e+157
9.0ms	4.1370285067910257e+86	6.802876057271584e+87

Samples

5.0ms

112×

valid

Compiler

Compiled 627 to 461 computations (26.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-mult!: 2.0ms (74.2% of total)

ival-sub!: 0.0ms (0% of total)

adjust: 0.0ms (0% of total)

ival-add!: 0.0ms (0% of total)

ival-div!: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	-4.1660856858074054e-69	0.0

Compiler

Compiled 18 to 17 computations (5.6% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	-4.1660856858074054e-69	0.0

Compiler

Compiled 18 to 17 computations (5.6% saved)

bsearch8.0ms (0.2%)

Memory

8.1MiB live, 8.1MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
7.0ms	4.1370285067910257e+86	6.802876057271584e+87

Samples

4.0ms

80×

valid

Compiler

Compiled 312 to 241 computations (22.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-mult!: 1.0ms (45.7% of total)

ival-sub!: 0.0ms (0% of total)

adjust: 0.0ms (0% of total)

ival-add!: 0.0ms (0% of total)

ival-div!: 0.0ms (0% of total)

derivations2.0ms (0.1%)

Memory

3.6MiB live, 3.6MiB allocated; 0ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 452 to 80 computations (82.3% saved)

preprocess327.0ms (8.8%)

Memory

5.7MiB live, 331.6MiB allocated; 65ms collecting garbage

Remove

(negabs y)

(abs z)

(abs x)

Compiler

Compiled 4 177 to 1 861 computations (55.4% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze39.0ms (1%)

sample1.2s (32.1%)

preprocess119.0ms (3.2%)

series169.0ms (4.5%)

rewrite250.0ms (6.7%)

eval10.0ms (0.3%)

prune4.0ms (0.1%)

series179.0ms (4.8%)

rewrite232.0ms (6.2%)

eval17.0ms (0.4%)

prune11.0ms (0.3%)

series259.0ms (7%)

rewrite185.0ms (5%)

eval18.0ms (0.5%)

prune12.0ms (0.3%)

series178.0ms (4.8%)

rewrite213.0ms (5.7%)

eval49.0ms (1.3%)

prune21.0ms (0.6%)

regimes199.0ms (5.3%)

bsearch12.0ms (0.3%)

bsearch4.0ms (0.1%)

bsearch1.0ms (0%)

bsearch15.0ms (0.4%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch8.0ms (0.2%)

derivations2.0ms (0.1%)

preprocess327.0ms (8.8%)

end0.0ms (0%)

Profiling