Metrics for Statistics.Distribution.Beta:$cvariance from math-functions-0.1.5.2

start0.0ms (0%)

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

analyze83.0ms (1.9%)

Memory

-27.0MiB live, 69.5MiB allocated; 28ms 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
0%	0%	99.9%	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
50%	49.9%	49.9%	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
75%	74.9%	25%	0.1%	0%	0%	0%	9
75%	74.9%	25%	0.1%	0%	0%	0%	10
75%	74.9%	25%	0.1%	0%	0%	0%	11
75%	74.9%	25%	0.1%	0%	0%	0%	12

Compiler

Compiled 13 to 11 computations (15.4% saved)

sample987.0ms (23%)

Memory

36.0MiB live, 661.2MiB allocated; 386ms collecting garbage

Samples

758.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 360.0ms

ival-mult!: 204.0ms (56.7% of total)

ival-div!: 131.0ms (36.4% of total)

ival-add!: 23.0ms (6.4% of total)

adjust: 2.0ms (0.6% of total)

Bogosity

preprocess51.0ms (1.2%)

Memory

-25.3MiB live, 74.6MiB allocated; 11ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	110
1	205	110
2	1549	110

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	59.3%	(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))

Symmetry

(abs x)

(abs y)

(abs z)

(negabs x)

(negabs y)

(negabs z)

(sort x y)

Compiler

Compiled 22 to 18 computations (18.2% saved)

series194.0ms (4.5%)

Memory

14.4MiB live, 196.5MiB allocated; 48ms collecting garbage

Counts

9 → 23

Calls

Call 1

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

Outputs
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 (.f64 x y) (.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) z))))
#s(approx (* x y) (*.f64 x y))
#s(approx x x)
#s(approx y y)
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64))))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 (fma.f64 #s(literal -1 binary64) (.f64 x (.f64 y z)) (*.f64 x y)) (pow.f64 z #s(literal 2 binary64))))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 (fma.f64 x y (.f64 z (-.f64 (.f64 x (.f64 y z)) (.f64 x y)))) (pow.f64 z #s(literal 2 binary64))))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 (fma.f64 x y (.f64 z (-.f64 (.f64 z (-.f64 (.f64 #s(literal -1 binary64) (.f64 x (.f64 y z))) (.f64 #s(literal -1 binary64) (.f64 x y)))) (.f64 x y)))) (pow.f64 z #s(literal 2 binary64))))
#s(approx (* (* z z) (+ z 1)) (pow.f64 z #s(literal 2 binary64)))
#s(approx (* (* z z) (+ z 1)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) z)))
#s(approx z z)
#s(approx (+ z 1) #s(literal 1 binary64))
#s(approx (+ z 1) (+.f64 #s(literal 1 binary64) z))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 (*.f64 x y) (pow.f64 z #s(literal 3 binary64))))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 x y) z) (.f64 x y)) (pow.f64 z #s(literal 3 binary64))))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 (-.f64 (fma.f64 x y (/.f64 (.f64 x y) (pow.f64 z #s(literal 2 binary64)))) (/.f64 (.f64 x y) z)) (pow.f64 z #s(literal 3 binary64))))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 x y) (pow.f64 z #s(literal 3 binary64))) (.f64 x y)) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 x y) (pow.f64 z #s(literal 2 binary64))) (/.f64 (.f64 x y) z))) (pow.f64 z #s(literal 3 binary64))))
#s(approx (* (* z z) (+ z 1)) (pow.f64 z #s(literal 3 binary64)))
#s(approx (* (* z z) (+ z 1)) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))))
#s(approx (+ z 1) (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (.f64 x y) (/.f64 (*.f64 x y) z)) (pow.f64 z #s(literal 3 binary64)))))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (.f64 x y) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (.f64 x y) z) (*.f64 x y)) z))) (pow.f64 z #s(literal 3 binary64)))))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (.f64 x y) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (.f64 x y) z) (.f64 x y)) z)) (*.f64 x y)) z))) (pow.f64 z #s(literal 3 binary64)))))

Calls

9 calls:

Time	Variable	Point
2.0ms	x	inf
2.0ms	y	0
1.0ms	x	-inf
1.0ms	x	0
1.0ms	y	-inf

rewrite255.0ms (5.9%)

Memory

-14.3MiB live, 178.7MiB allocated; 78ms collecting garbage

Counts

9 → 37

Calls

Call 1

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

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

eval9.0ms (0.2%)

Memory: 13.8MiB live, 13.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 966 to 217 computations (77.5% saved)

prune6.0ms (0.1%)

Memory

10.9MiB live, 10.9MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	48	5	53
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	48	6	54

Accuracy

96.7%

Counts

54 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	59.3%	(/.f64 (.f64 x y) (.f64 (fma.f64 z z z) z))
✓	59.3%	(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
▶	53.6%	(/.f64 (.f64 x y) (.f64 (*.f64 z z) #s(approx (+ z 1) #s(literal 1 binary64))))
▶	60.6%	(.f64 (/.f64 y (.f64 (fma.f64 z z z) z)) x)
▶	65.0%	(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z))
▶	61.6%	(.f64 (/.f64 x (.f64 (fma.f64 z z z) z)) y)

Compiler

Compiled 117 to 87 computations (25.6% saved)

series197.0ms (4.6%)

Memory

-28.4MiB live, 159.1MiB allocated; 64ms collecting garbage

Counts

19 → 63

Calls

Call 1

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

Outputs
#s(approx (* (/ x (+ (* z z) z)) (/ y z)) (/.f64 (.f64 x y) (.f64 z (+.f64 z (pow.f64 z #s(literal 2 binary64))))))
#s(approx (/ x (+ (* z z) z)) (/.f64 x (+.f64 z (pow.f64 z #s(literal 2 binary64)))))
#s(approx x x)
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (/.f64 (.f64 x y) (.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) z))))
#s(approx (* x y) (*.f64 x y))
#s(approx (/ x (* (+ (* z z) z) z)) (/.f64 x (*.f64 z (+.f64 z (pow.f64 z #s(literal 2 binary64))))))
#s(approx (/ y z) (/.f64 y z))
#s(approx y y)
#s(approx (/ y (* (+ (* z z) z) z)) (/.f64 y (*.f64 z (+.f64 z (pow.f64 z #s(literal 2 binary64))))))
#s(approx (* (/ x (+ (* z z) z)) (/ y z)) (/.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64))))
#s(approx (* (/ x (+ (* z z) z)) (/ y z)) (/.f64 (fma.f64 #s(literal -1 binary64) (.f64 x (.f64 y z)) (*.f64 x y)) (pow.f64 z #s(literal 2 binary64))))
#s(approx (* (/ x (+ (* z z) z)) (/ y z)) (/.f64 (fma.f64 x y (.f64 z (-.f64 (.f64 x (.f64 y z)) (.f64 x y)))) (pow.f64 z #s(literal 2 binary64))))
#s(approx (* (/ x (+ (* z z) z)) (/ y z)) (/.f64 (fma.f64 x y (.f64 z (-.f64 (.f64 z (-.f64 (.f64 #s(literal -1 binary64) (.f64 x (.f64 y z))) (.f64 #s(literal -1 binary64) (.f64 x y)))) (.f64 x y)))) (pow.f64 z #s(literal 2 binary64))))
#s(approx (/ x (+ (* z z) z)) (/.f64 x z))
#s(approx (/ x (+ (* z z) z)) (/.f64 (+.f64 x (.f64 #s(literal -1 binary64) (.f64 x z))) z))
#s(approx (/ x (+ (* z z) z)) (/.f64 (+.f64 x (.f64 z (-.f64 (.f64 x z) x))) z))
#s(approx (/ x (+ (* z z) z)) (/.f64 (+.f64 x (.f64 z (-.f64 (.f64 z (-.f64 (.f64 #s(literal -1 binary64) (.f64 x z)) (*.f64 #s(literal -1 binary64) x))) x))) z))
#s(approx (+ (* z z) z) z)
#s(approx (+ (* z z) z) (*.f64 z (+.f64 #s(literal 1 binary64) z)))
#s(approx (* (* z z) (+ z 1)) (pow.f64 z #s(literal 2 binary64)))
#s(approx (* (* z z) (+ z 1)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) z)))
#s(approx (+ z 1) #s(literal 1 binary64))
#s(approx (+ z 1) (+.f64 #s(literal 1 binary64) z))
#s(approx (/ x (* (+ (* z z) z) z)) (/.f64 x (pow.f64 z #s(literal 2 binary64))))
#s(approx (/ x (* (+ (* z z) z) z)) (/.f64 (+.f64 x (.f64 #s(literal -1 binary64) (.f64 x z))) (pow.f64 z #s(literal 2 binary64))))
#s(approx (/ x (* (+ (* z z) z) z)) (/.f64 (+.f64 x (.f64 z (-.f64 (.f64 x z) x))) (pow.f64 z #s(literal 2 binary64))))
#s(approx (/ x (* (+ (* z z) z) z)) (/.f64 (+.f64 x (.f64 z (-.f64 (.f64 z (-.f64 (.f64 #s(literal -1 binary64) (.f64 x z)) (*.f64 #s(literal -1 binary64) x))) x))) (pow.f64 z #s(literal 2 binary64))))
#s(approx (/ y (* (+ (* z z) z) z)) (/.f64 y (pow.f64 z #s(literal 2 binary64))))
#s(approx (/ y (* (+ (* z z) z) z)) (/.f64 (+.f64 y (.f64 #s(literal -1 binary64) (.f64 y z))) (pow.f64 z #s(literal 2 binary64))))
#s(approx (/ y (* (+ (* z z) z) z)) (/.f64 (+.f64 y (.f64 z (-.f64 (.f64 y z) y))) (pow.f64 z #s(literal 2 binary64))))
#s(approx (/ y (* (+ (* z z) z) z)) (/.f64 (+.f64 y (.f64 z (-.f64 (.f64 z (-.f64 (.f64 #s(literal -1 binary64) (.f64 y z)) (*.f64 #s(literal -1 binary64) y))) y))) (pow.f64 z #s(literal 2 binary64))))
#s(approx (* (/ x (+ (* z z) z)) (/ y z)) (/.f64 (*.f64 x y) (pow.f64 z #s(literal 3 binary64))))
#s(approx (* (/ x (+ (* z z) z)) (/ y z)) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 x y) z) (.f64 x y)) (pow.f64 z #s(literal 3 binary64))))
#s(approx (* (/ x (+ (* z z) z)) (/ y z)) (/.f64 (-.f64 (fma.f64 x y (/.f64 (.f64 x y) (pow.f64 z #s(literal 2 binary64)))) (/.f64 (.f64 x y) z)) (pow.f64 z #s(literal 3 binary64))))
#s(approx (* (/ x (+ (* z z) z)) (/ y z)) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 x y) (pow.f64 z #s(literal 3 binary64))) (.f64 x y)) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 x y) (pow.f64 z #s(literal 2 binary64))) (/.f64 (.f64 x y) z))) (pow.f64 z #s(literal 3 binary64))))
#s(approx (/ x (+ (* z z) z)) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x z))) (pow.f64 z #s(literal 2 binary64))))
#s(approx (/ x (+ (* z z) z)) (/.f64 (-.f64 (+.f64 x (/.f64 x (pow.f64 z #s(literal 2 binary64)))) (/.f64 x z)) (pow.f64 z #s(literal 2 binary64))))
#s(approx (/ x (+ (* z z) z)) (/.f64 (-.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 z #s(literal 3 binary64))))) (fma.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 z #s(literal 2 binary64))) (/.f64 x z))) (pow.f64 z #s(literal 2 binary64))))
#s(approx (+ (* z z) z) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))))
#s(approx (* (* z z) (+ z 1)) (pow.f64 z #s(literal 3 binary64)))
#s(approx (* (* z z) (+ z 1)) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))))
#s(approx (+ z 1) (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))))
#s(approx (/ x (* (+ (* z z) z) z)) (/.f64 x (pow.f64 z #s(literal 3 binary64))))
#s(approx (/ x (* (+ (* z z) z) z)) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x z))) (pow.f64 z #s(literal 3 binary64))))
#s(approx (/ x (* (+ (* z z) z) z)) (/.f64 (-.f64 (+.f64 x (/.f64 x (pow.f64 z #s(literal 2 binary64)))) (/.f64 x z)) (pow.f64 z #s(literal 3 binary64))))
#s(approx (/ x (* (+ (* z z) z) z)) (/.f64 (-.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 z #s(literal 3 binary64))))) (fma.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 z #s(literal 2 binary64))) (/.f64 x z))) (pow.f64 z #s(literal 3 binary64))))
#s(approx (/ y (* (+ (* z z) z) z)) (/.f64 y (pow.f64 z #s(literal 3 binary64))))
#s(approx (/ y (* (+ (* z z) z) z)) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 y z))) (pow.f64 z #s(literal 3 binary64))))
#s(approx (/ y (* (+ (* z z) z) z)) (/.f64 (-.f64 (+.f64 y (/.f64 y (pow.f64 z #s(literal 2 binary64)))) (/.f64 y z)) (pow.f64 z #s(literal 3 binary64))))
#s(approx (/ y (* (+ (* z z) z) z)) (/.f64 (-.f64 (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 y (pow.f64 z #s(literal 3 binary64))))) (fma.f64 #s(literal -1 binary64) (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 y z))) (pow.f64 z #s(literal 3 binary64))))
#s(approx (* (/ x (+ (* z z) z)) (/ y z)) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (.f64 x y) (/.f64 (*.f64 x y) z)) (pow.f64 z #s(literal 3 binary64)))))
#s(approx (* (/ x (+ (* z z) z)) (/ y z)) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (.f64 x y) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (.f64 x y) (/.f64 (*.f64 x y) z)) z))) (pow.f64 z #s(literal 3 binary64)))))
#s(approx (* (/ x (+ (* z z) z)) (/ y z)) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (.f64 x y) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (.f64 x y) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (.f64 x y) (/.f64 (*.f64 x y) z)) z))) z))) (pow.f64 z #s(literal 3 binary64)))))
#s(approx (/ x (+ (* z z) z)) (/.f64 (+.f64 x (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal -1 binary64) x)) z))) (pow.f64 z #s(literal 2 binary64))))
#s(approx (/ x (+ (* z z) z)) (/.f64 (+.f64 x (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x z)) (.f64 #s(literal -1 binary64) x)) z)) (*.f64 #s(literal -1 binary64) x)) z))) (pow.f64 z #s(literal 2 binary64))))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (.f64 x y) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (.f64 x y) z) (*.f64 x y)) z))) (pow.f64 z #s(literal 3 binary64)))))
#s(approx (/ (* x y) (* (* z z) (+ z 1))) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (.f64 x y) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (.f64 x y) z) (.f64 x y)) z)) (*.f64 x y)) z))) (pow.f64 z #s(literal 3 binary64)))))
#s(approx (/ x (* (+ (* z z) z) z)) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) x (/.f64 x z)) (pow.f64 z #s(literal 3 binary64)))))
#s(approx (/ x (* (+ (* z z) z) z)) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) x (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) x (/.f64 x z)) z))) (pow.f64 z #s(literal 3 binary64)))))
#s(approx (/ x (* (+ (* z z) z) z)) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) x (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) x (/.f64 x z)) z))) z))) (pow.f64 z #s(literal 3 binary64)))))
#s(approx (/ y (* (+ (* z z) z) z)) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) y (/.f64 y z)) (pow.f64 z #s(literal 3 binary64)))))
#s(approx (/ y (* (+ (* z z) z) z)) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) y (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) y (/.f64 y z)) z))) (pow.f64 z #s(literal 3 binary64)))))
#s(approx (/ y (* (+ (* z z) z) z)) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) y (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) y (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) y (/.f64 y z)) z))) z))) (pow.f64 z #s(literal 3 binary64)))))

Calls

9 calls:

Time	Variable	Point
7.0ms	x	inf
7.0ms	x	0
3.0ms	x	-inf
3.0ms	y	-inf
2.0ms	z	-inf

rewrite228.0ms (5.3%)

Memory

28.3MiB live, 214.5MiB allocated; 27ms collecting garbage

Counts

19 → 77

Calls

Call 1

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

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

eval17.0ms (0.4%)

Memory: -11.2MiB live, 34.3MiB allocated; 4ms collecting garbage
Compiler: Compiled 3 358 to 608 computations (81.9% saved)

prune7.0ms (0.2%)

Memory

15.0MiB live, 15.0MiB allocated; 0ms collecting garbage

Pruning

12 alts after pruning (7 fresh and 5 done)

	Pruned	Kept	Total
New	172	7	179
Fresh	0	0	0
Picked	1	4	5
Done	0	1	1
Total	173	12	185

Accuracy

96.7%

Counts

185 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	59.3%	(/.f64 (.f64 x y) (.f64 (fma.f64 z z z) z))
	53.6%	(/.f64 (.f64 x y) (.f64 (*.f64 (fabs.f64 z) z) #s(approx (+ z 1) #s(literal 1 binary64))))
✓	59.3%	(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
▶	53.6%	(/.f64 (.f64 x y) (.f64 #s(approx (+ (* z z) z) z) z))
✓	60.6%	(.f64 (/.f64 y (.f64 (fma.f64 z z z) z)) x)
▶	53.8%	(.f64 (/.f64 y (.f64 #s(approx (+ (* z z) z) z) z)) x)
✓	65.0%	(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z))
✓	61.6%	(.f64 (/.f64 x (.f64 (fma.f64 z z z) z)) y)
▶	56.3%	(.f64 (/.f64 x (.f64 #s(approx (+ (* z z) z) z) z)) y)
▶	53.4%	(.f64 (/.f64 x #s(approx (+ ( z z) z) z)) (/.f64 y z))
	34.8%	(.f64 (.f64 (/.f64 (/.f64 x z) (.f64 (.f64 z z) (fma.f64 z z #s(literal 1 binary64)))) (fma.f64 z z z)) y)
▶	58.3%	(.f64 (.f64 (/.f64 x (.f64 (.f64 z z) (fma.f64 z z #s(literal 1 binary64)))) (-.f64 z #s(literal 1 binary64))) y)

Compiler

Compiled 253 to 179 computations (29.2% saved)

series219.0ms (5.1%)

Memory

10.0MiB live, 241.6MiB allocated; 29ms collecting garbage

Counts

22 → 93

Calls

Call 1

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

Outputs
#s(approx (* (* (/ x (* (* z z) (+ (* z z) 1))) (- z 1)) y) (/.f64 (.f64 x (.f64 y (-.f64 z #s(literal 1 binary64)))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
#s(approx (* (/ x (* (* z z) (+ (* z z) 1))) (- z 1)) (/.f64 (.f64 x (-.f64 z #s(literal 1 binary64))) (.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
#s(approx (/ x (* (* z z) (+ (* z z) 1))) (/.f64 x (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
#s(approx x x)
#s(approx (* (/ x (* (+ (* z z) z) z)) y) (/.f64 (.f64 x y) (.f64 z (+.f64 z (pow.f64 z #s(literal 2 binary64))))))
#s(approx (/ x (* (+ (* z z) z) z)) (/.f64 x (*.f64 z (+.f64 z (pow.f64 z #s(literal 2 binary64))))))
#s(approx (* x y) (*.f64 x y))
#s(approx (/ x (+ (* z z) z)) (/.f64 x (+.f64 z (pow.f64 z #s(literal 2 binary64)))))
#s(approx y y)
#s(approx (/ y (* (+ (* z z) z) z)) (/.f64 y (*.f64 z (+.f64 z (pow.f64 z #s(literal 2 binary64))))))
#s(approx (/ y z) (/.f64 y z))
#s(approx (* (* (/ x (* (* z z) (+ (* z z) 1))) (- z 1)) y) (.f64 #s(literal -1 binary64) (/.f64 (.f64 x y) (pow.f64 z #s(literal 2 binary64)))))
#s(approx (* (* (/ x (* (* z z) (+ (* z z) 1))) (- z 1)) y) (/.f64 (fma.f64 #s(literal -1 binary64) (.f64 x y) (.f64 x (*.f64 y z))) (pow.f64 z #s(literal 2 binary64))))
#s(approx (* (* (/ x (* (* z z) (+ (* z z) 1))) (- z 1)) y) (/.f64 (fma.f64 #s(literal -1 binary64) (.f64 x y) (.f64 z (fma.f64 x y (.f64 x (.f64 y z))))) (pow.f64 z #s(literal 2 binary64))))
#s(approx (* (* (/ x (* (* z z) (+ (* z z) 1))) (- z 1)) y) (/.f64 (fma.f64 #s(literal -1 binary64) (.f64 x y) (.f64 z (fma.f64 x y (.f64 z (-.f64 (.f64 #s(literal -1 binary64) (.f64 x (.f64 y z))) (.f64 #s(literal -1 binary64) (.f64 x y))))))) (pow.f64 z #s(literal 2 binary64))))
#s(approx (* (/ x (* (* z z) (+ (* z z) 1))) (- z 1)) (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 z #s(literal 2 binary64)))))
#s(approx (* (/ x (* (* z z) (+ (* z z) 1))) (- z 1)) (/.f64 (fma.f64 #s(literal -1 binary64) x (*.f64 x z)) (pow.f64 z #s(literal 2 binary64))))
#s(approx (* (/ x (* (* z z) (+ (* z z) 1))) (- z 1)) (/.f64 (fma.f64 #s(literal -1 binary64) x (.f64 z (+.f64 x (.f64 x z)))) (pow.f64 z #s(literal 2 binary64))))
#s(approx (* (/ x (* (* z z) (+ (* z z) 1))) (- z 1)) (/.f64 (fma.f64 #s(literal -1 binary64) x (.f64 z (+.f64 x (.f64 z (-.f64 (.f64 #s(literal -1 binary64) (.f64 x z)) (*.f64 #s(literal -1 binary64) x)))))) (pow.f64 z #s(literal 2 binary64))))
#s(approx (/ x (* (* z z) (+ (* z z) 1))) (/.f64 x (pow.f64 z #s(literal 2 binary64))))
#s(approx (/ x (* (* z z) (+ (* z z) 1))) (/.f64 (+.f64 x (.f64 #s(literal -1 binary64) (.f64 x (pow.f64 z #s(literal 2 binary64))))) (pow.f64 z #s(literal 2 binary64))))
#s(approx (/ x (* (* z z) (+ (* z z) 1))) (/.f64 (+.f64 x (.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (.f64 x (pow.f64 z #s(literal 2 binary64))) x))) (pow.f64 z #s(literal 2 binary64))))
#s(approx (/ x (* (* z z) (+ (* z z) 1))) (/.f64 (+.f64 x (.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (.f64 x (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) x))) x))) (pow.f64 z #s(literal 2 binary64))))
#s(approx (* (* z z) (+ (* z z) 1)) (pow.f64 z #s(literal 2 binary64)))
#s(approx (* (* z z) (+ (* z z) 1)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
#s(approx z z)
#s(approx (+ (* z z) 1) #s(literal 1 binary64))
#s(approx (+ (* z z) 1) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
#s(approx (- z 1) #s(literal -1 binary64))
#s(approx (- z 1) (-.f64 z #s(literal 1 binary64)))
#s(approx (* (/ x (* (+ (* z z) z) z)) y) (/.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64))))
#s(approx (* (/ x (* (+ (* z z) z) z)) y) (/.f64 (fma.f64 #s(literal -1 binary64) (.f64 x (.f64 y z)) (*.f64 x y)) (pow.f64 z #s(literal 2 binary64))))
#s(approx (* (/ x (* (+ (* z z) z) z)) y) (/.f64 (fma.f64 x y (.f64 z (-.f64 (.f64 x (.f64 y z)) (.f64 x y)))) (pow.f64 z #s(literal 2 binary64))))
#s(approx (* (/ x (* (+ (* z z) z) z)) y) (/.f64 (fma.f64 x y (.f64 z (-.f64 (.f64 z (-.f64 (.f64 #s(literal -1 binary64) (.f64 x (.f64 y z))) (.f64 #s(literal -1 binary64) (.f64 x y)))) (.f64 x y)))) (pow.f64 z #s(literal 2 binary64))))
#s(approx (/ x (* (+ (* z z) z) z)) (/.f64 (+.f64 x (.f64 #s(literal -1 binary64) (.f64 x z))) (pow.f64 z #s(literal 2 binary64))))
#s(approx (/ x (* (+ (* z z) z) z)) (/.f64 (+.f64 x (.f64 z (-.f64 (.f64 x z) x))) (pow.f64 z #s(literal 2 binary64))))
#s(approx (/ x (* (+ (* z z) z) z)) (/.f64 (+.f64 x (.f64 z (-.f64 (.f64 z (-.f64 (.f64 #s(literal -1 binary64) (.f64 x z)) (*.f64 #s(literal -1 binary64) x))) x))) (pow.f64 z #s(literal 2 binary64))))
#s(approx (* (+ (* z z) z) z) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) z)))
#s(approx (+ (* z z) z) (*.f64 z (+.f64 #s(literal 1 binary64) z)))
#s(approx (/ y (* (+ (* z z) z) z)) (/.f64 y (pow.f64 z #s(literal 2 binary64))))
#s(approx (/ y (* (+ (* z z) z) z)) (/.f64 (+.f64 y (.f64 #s(literal -1 binary64) (.f64 y z))) (pow.f64 z #s(literal 2 binary64))))
#s(approx (/ y (* (+ (* z z) z) z)) (/.f64 (+.f64 y (.f64 z (-.f64 (.f64 y z) y))) (pow.f64 z #s(literal 2 binary64))))
#s(approx (/ y (* (+ (* z z) z) z)) (/.f64 (+.f64 y (.f64 z (-.f64 (.f64 z (-.f64 (.f64 #s(literal -1 binary64) (.f64 y z)) (*.f64 #s(literal -1 binary64) y))) y))) (pow.f64 z #s(literal 2 binary64))))
#s(approx (/ x (+ (* z z) z)) (/.f64 x z))
#s(approx (/ x (+ (* z z) z)) (/.f64 (+.f64 x (.f64 #s(literal -1 binary64) (.f64 x z))) z))
#s(approx (/ x (+ (* z z) z)) (/.f64 (+.f64 x (.f64 z (-.f64 (.f64 x z) x))) z))
#s(approx (/ x (+ (* z z) z)) (/.f64 (+.f64 x (.f64 z (-.f64 (.f64 z (-.f64 (.f64 #s(literal -1 binary64) (.f64 x z)) (*.f64 #s(literal -1 binary64) x))) x))) z))
#s(approx (* (* (/ x (* (* z z) (+ (* z z) 1))) (- z 1)) y) (/.f64 (*.f64 x y) (pow.f64 z #s(literal 3 binary64))))
#s(approx (* (* (/ x (* (* z z) (+ (* z z) 1))) (- z 1)) y) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 x y) z) (.f64 x y)) (pow.f64 z #s(literal 3 binary64))))
#s(approx (* (* (/ x (* (* z z) (+ (* z z) 1))) (- z 1)) y) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 x y) z) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 x y) (pow.f64 z #s(literal 2 binary64))) (*.f64 x y))) (pow.f64 z #s(literal 3 binary64))))
#s(approx (* (* (/ x (* (* z z) (+ (* z z) 1))) (- z 1)) y) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 x y) z) (fma.f64 x y (/.f64 (.f64 x y) (pow.f64 z #s(literal 3 binary64))))) (/.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 z #s(literal 3 binary64))))
#s(approx (* (/ x (* (* z z) (+ (* z z) 1))) (- z 1)) (/.f64 x (pow.f64 z #s(literal 3 binary64))))
#s(approx (* (/ x (* (* z z) (+ (* z z) 1))) (- z 1)) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x z))) (pow.f64 z #s(literal 3 binary64))))
#s(approx (* (/ x (* (* z z) (+ (* z z) 1))) (- z 1)) (/.f64 (+.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 x z) (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 z #s(literal 2 binary64)))))) (pow.f64 z #s(literal 3 binary64))))
#s(approx (* (/ x (* (* z z) (+ (* z z) 1))) (- z 1)) (/.f64 (-.f64 (+.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 x z) (/.f64 x (pow.f64 z #s(literal 3 binary64))))) (/.f64 x (pow.f64 z #s(literal 2 binary64)))) (pow.f64 z #s(literal 3 binary64))))
#s(approx (/ x (* (* z z) (+ (* z z) 1))) (/.f64 x (pow.f64 z #s(literal 4 binary64))))
#s(approx (/ x (* (* z z) (+ (* z z) 1))) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 z #s(literal 2 binary64))))) (pow.f64 z #s(literal 4 binary64))))
#s(approx (/ x (* (* z z) (+ (* z z) 1))) (/.f64 (-.f64 (+.f64 x (/.f64 x (pow.f64 z #s(literal 4 binary64)))) (/.f64 x (pow.f64 z #s(literal 2 binary64)))) (pow.f64 z #s(literal 4 binary64))))
#s(approx (/ x (* (* z z) (+ (* z z) 1))) (/.f64 (-.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 z #s(literal 6 binary64))))) (fma.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 z #s(literal 4 binary64))) (/.f64 x (pow.f64 z #s(literal 2 binary64))))) (pow.f64 z #s(literal 4 binary64))))
#s(approx (* (* z z) (+ (* z z) 1)) (pow.f64 z #s(literal 4 binary64)))
#s(approx (* (* z z) (+ (* z z) 1)) (*.f64 (pow.f64 z #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
#s(approx (+ (* z z) 1) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
#s(approx (- z 1) (*.f64 z (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))))
#s(approx (* (/ x (* (+ (* z z) z) z)) y) (/.f64 (-.f64 (fma.f64 x y (/.f64 (.f64 x y) (pow.f64 z #s(literal 2 binary64)))) (/.f64 (.f64 x y) z)) (pow.f64 z #s(literal 3 binary64))))
#s(approx (* (/ x (* (+ (* z z) z) z)) y) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 x y) (pow.f64 z #s(literal 3 binary64))) (.f64 x y)) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 x y) (pow.f64 z #s(literal 2 binary64))) (/.f64 (.f64 x y) z))) (pow.f64 z #s(literal 3 binary64))))
#s(approx (/ x (* (+ (* z z) z) z)) (/.f64 (-.f64 (+.f64 x (/.f64 x (pow.f64 z #s(literal 2 binary64)))) (/.f64 x z)) (pow.f64 z #s(literal 3 binary64))))
#s(approx (/ x (* (+ (* z z) z) z)) (/.f64 (-.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 z #s(literal 3 binary64))))) (fma.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 z #s(literal 2 binary64))) (/.f64 x z))) (pow.f64 z #s(literal 3 binary64))))
#s(approx (* (+ (* z z) z) z) (pow.f64 z #s(literal 3 binary64)))
#s(approx (* (+ (* z z) z) z) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))))
#s(approx (+ (* z z) z) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))))
#s(approx (/ y (* (+ (* z z) z) z)) (/.f64 y (pow.f64 z #s(literal 3 binary64))))
#s(approx (/ y (* (+ (* z z) z) z)) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 y z))) (pow.f64 z #s(literal 3 binary64))))
#s(approx (/ y (* (+ (* z z) z) z)) (/.f64 (-.f64 (+.f64 y (/.f64 y (pow.f64 z #s(literal 2 binary64)))) (/.f64 y z)) (pow.f64 z #s(literal 3 binary64))))
#s(approx (/ y (* (+ (* z z) z) z)) (/.f64 (-.f64 (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 y (pow.f64 z #s(literal 3 binary64))))) (fma.f64 #s(literal -1 binary64) (/.f64 y (pow.f64 z #s(literal 2 binary64))) (/.f64 y z))) (pow.f64 z #s(literal 3 binary64))))
#s(approx (/ x (+ (* z z) z)) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x z))) (pow.f64 z #s(literal 2 binary64))))
#s(approx (/ x (+ (* z z) z)) (/.f64 (-.f64 (+.f64 x (/.f64 x (pow.f64 z #s(literal 2 binary64)))) (/.f64 x z)) (pow.f64 z #s(literal 2 binary64))))
#s(approx (/ x (+ (* z z) z)) (/.f64 (-.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 z #s(literal 3 binary64))))) (fma.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 z #s(literal 2 binary64))) (/.f64 x z))) (pow.f64 z #s(literal 2 binary64))))
#s(approx (* (* (/ x (* (* z z) (+ (* z z) 1))) (- z 1)) y) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (.f64 x y) (/.f64 (*.f64 x y) z)) (pow.f64 z #s(literal 3 binary64)))))
#s(approx (* (* (/ x (* (* z z) (+ (* z z) 1))) (- z 1)) y) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (.f64 x y) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (.f64 x y) (.f64 #s(literal -1 binary64) (/.f64 (.f64 x y) z))) z))) (pow.f64 z #s(literal 3 binary64)))))
#s(approx (* (* (/ x (* (* z z) (+ (* z z) 1))) (- z 1)) y) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (.f64 x y) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (.f64 x y) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 x y) z) (*.f64 x y)) z))) z))) (pow.f64 z #s(literal 3 binary64)))))
#s(approx (* (/ x (* (* z z) (+ (* z z) 1))) (- z 1)) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) x (/.f64 x z)) (pow.f64 z #s(literal 3 binary64)))))
#s(approx (* (/ x (* (* z z) (+ (* z z) 1))) (- z 1)) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) x (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1 binary64) (/.f64 x z))) z))) (pow.f64 z #s(literal 3 binary64)))))
#s(approx (* (/ x (* (* z z) (+ (* z z) 1))) (- z 1)) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) x (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) x (.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (.f64 #s(literal -1 binary64) (/.f64 x z))) z))) z))) (pow.f64 z #s(literal 3 binary64)))))
#s(approx (- z 1) (.f64 #s(literal -1 binary64) (.f64 z (-.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)))))
#s(approx (* (/ x (* (+ (* z z) z) z)) y) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (.f64 x y) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (.f64 x y) (/.f64 (*.f64 x y) z)) z))) (pow.f64 z #s(literal 3 binary64)))))
#s(approx (* (/ x (* (+ (* z z) z) z)) y) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (.f64 x y) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (.f64 x y) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (.f64 x y) (/.f64 (*.f64 x y) z)) z))) z))) (pow.f64 z #s(literal 3 binary64)))))
#s(approx (/ x (* (+ (* z z) z) z)) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) x (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) x (/.f64 x z)) z))) (pow.f64 z #s(literal 3 binary64)))))
#s(approx (/ x (* (+ (* z z) z) z)) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) x (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) x (/.f64 x z)) z))) z))) (pow.f64 z #s(literal 3 binary64)))))
#s(approx (/ y (* (+ (* z z) z) z)) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) y (/.f64 y z)) (pow.f64 z #s(literal 3 binary64)))))
#s(approx (/ y (* (+ (* z z) z) z)) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) y (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) y (/.f64 y z)) z))) (pow.f64 z #s(literal 3 binary64)))))
#s(approx (/ y (* (+ (* z z) z) z)) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) y (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) y (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) y (/.f64 y z)) z))) z))) (pow.f64 z #s(literal 3 binary64)))))
#s(approx (/ x (+ (* z z) z)) (/.f64 (+.f64 x (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x z)) (*.f64 #s(literal -1 binary64) x)) z))) (pow.f64 z #s(literal 2 binary64))))
#s(approx (/ x (+ (* z z) z)) (/.f64 (+.f64 x (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x z)) (.f64 #s(literal -1 binary64) x)) z)) (*.f64 #s(literal -1 binary64) x)) z))) (pow.f64 z #s(literal 2 binary64))))

Calls

9 calls:

Time	Variable	Point
7.0ms	x	0
5.0ms	x	-inf
3.0ms	x	inf
3.0ms	y	-inf
2.0ms	y	inf

rewrite265.0ms (6.2%)

Memory

-4.8MiB live, 151.5MiB allocated; 72ms collecting garbage

Counts

22 → 68

Calls

Call 1

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

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

eval39.0ms (0.9%)

Memory: -1.3MiB live, 43.8MiB allocated; 8ms collecting garbage
Compiler: Compiled 4 571 to 842 computations (81.6% saved)

prune14.0ms (0.3%)

Memory

-26.1MiB live, 20.0MiB allocated; 5ms collecting garbage

Pruning

12 alts after pruning (2 fresh and 10 done)

	Pruned	Kept	Total
New	192	0	192
Fresh	0	2	2
Picked	0	5	5
Done	0	5	5
Total	192	12	204

Accuracy

96.7%

Counts

204 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	59.3%	(/.f64 (.f64 x y) (.f64 (fma.f64 z z z) z))
▶	53.6%	(/.f64 (.f64 x y) (.f64 (*.f64 (fabs.f64 z) z) #s(approx (+ z 1) #s(literal 1 binary64))))
✓	59.3%	(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
✓	53.6%	(/.f64 (.f64 x y) (.f64 #s(approx (+ (* z z) z) z) z))
✓	60.6%	(.f64 (/.f64 y (.f64 (fma.f64 z z z) z)) x)
✓	53.8%	(.f64 (/.f64 y (.f64 #s(approx (+ (* z z) z) z) z)) x)
✓	65.0%	(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z))
✓	61.6%	(.f64 (/.f64 x (.f64 (fma.f64 z z z) z)) y)
✓	56.3%	(.f64 (/.f64 x (.f64 #s(approx (+ (* z z) z) z) z)) y)
✓	53.4%	(.f64 (/.f64 x #s(approx (+ ( z z) z) z)) (/.f64 y z))
▶	34.8%	(.f64 (.f64 (/.f64 (/.f64 x z) (.f64 (.f64 z z) (fma.f64 z z #s(literal 1 binary64)))) (fma.f64 z z z)) y)
✓	58.3%	(.f64 (.f64 (/.f64 x (.f64 (.f64 z z) (fma.f64 z z #s(literal 1 binary64)))) (-.f64 z #s(literal 1 binary64))) y)

Compiler

Compiled 152 to 108 computations (28.9% saved)

series272.0ms (6.3%)

Memory

33.3MiB live, 269.0MiB allocated; 35ms collecting garbage

Counts

18 → 67

Calls

Call 1

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

Outputs
#s(approx (* (* (/ (/ x z) (* (* z z) (+ (* z z) 1))) (+ (* z z) z)) y) (/.f64 (.f64 x (.f64 y (+.f64 z (pow.f64 z #s(literal 2 binary64))))) (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
#s(approx (* (/ (/ x z) (* (* z z) (+ (* z z) 1))) (+ (* z z) z)) (/.f64 (.f64 x (+.f64 z (pow.f64 z #s(literal 2 binary64)))) (.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
#s(approx (/ (/ x z) (* (* z z) (+ (* z z) 1))) (/.f64 x (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
#s(approx (/ x z) (/.f64 x z))
#s(approx x x)
#s(approx (/ (* x y) (* (* (fabs z) z) (+ z 1))) (/.f64 (.f64 x y) (.f64 z (*.f64 (fabs.f64 z) (+.f64 #s(literal 1 binary64) z)))))
#s(approx (* x y) (*.f64 x y))
#s(approx y y)
#s(approx (* (* (/ (/ x z) (* (* z z) (+ (* z z) 1))) (+ (* z z) z)) y) (/.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64))))
#s(approx (* (* (/ (/ x z) (* (* z z) (+ (* z z) 1))) (+ (* z z) z)) y) (/.f64 (fma.f64 x y (.f64 x (.f64 y z))) (pow.f64 z #s(literal 2 binary64))))
#s(approx (* (* (/ (/ x z) (* (* z z) (+ (* z z) 1))) (+ (* z z) z)) y) (/.f64 (fma.f64 x y (.f64 z (fma.f64 #s(literal -1 binary64) (.f64 x (.f64 y z)) (.f64 x y)))) (pow.f64 z #s(literal 2 binary64))))
#s(approx (* (* (/ (/ x z) (* (* z z) (+ (* z z) 1))) (+ (* z z) z)) y) (/.f64 (fma.f64 x y (.f64 z (fma.f64 x y (.f64 z (-.f64 (.f64 #s(literal -1 binary64) (.f64 x (.f64 y z))) (.f64 x y)))))) (pow.f64 z #s(literal 2 binary64))))
#s(approx (* (/ (/ x z) (* (* z z) (+ (* z z) 1))) (+ (* z z) z)) (/.f64 x (pow.f64 z #s(literal 2 binary64))))
#s(approx (* (/ (/ x z) (* (* z z) (+ (* z z) 1))) (+ (* z z) z)) (/.f64 (+.f64 x (*.f64 x z)) (pow.f64 z #s(literal 2 binary64))))
#s(approx (* (/ (/ x z) (* (* z z) (+ (* z z) 1))) (+ (* z z) z)) (/.f64 (+.f64 x (.f64 z (+.f64 x (.f64 #s(literal -1 binary64) (*.f64 x z))))) (pow.f64 z #s(literal 2 binary64))))
#s(approx (* (/ (/ x z) (* (* z z) (+ (* z z) 1))) (+ (* z z) z)) (/.f64 (+.f64 x (.f64 z (+.f64 x (.f64 z (-.f64 (.f64 #s(literal -1 binary64) (.f64 x z)) x))))) (pow.f64 z #s(literal 2 binary64))))
#s(approx (/ (/ x z) (* (* z z) (+ (* z z) 1))) (/.f64 x (pow.f64 z #s(literal 3 binary64))))
#s(approx (/ (/ x z) (* (* z z) (+ (* z z) 1))) (/.f64 (+.f64 x (.f64 #s(literal -1 binary64) (.f64 x (pow.f64 z #s(literal 2 binary64))))) (pow.f64 z #s(literal 3 binary64))))
#s(approx (/ (/ x z) (* (* z z) (+ (* z z) 1))) (/.f64 (+.f64 x (.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (.f64 x (pow.f64 z #s(literal 2 binary64))) x))) (pow.f64 z #s(literal 3 binary64))))
#s(approx (/ (/ x z) (* (* z z) (+ (* z z) 1))) (/.f64 (+.f64 x (.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (.f64 x (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) x))) x))) (pow.f64 z #s(literal 3 binary64))))
#s(approx z z)
#s(approx (* (* z z) (+ (* z z) 1)) (pow.f64 z #s(literal 2 binary64)))
#s(approx (* (* z z) (+ (* z z) 1)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64)))))
#s(approx (+ (* z z) 1) #s(literal 1 binary64))
#s(approx (+ (* z z) 1) (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))
#s(approx (+ (* z z) z) (*.f64 z (+.f64 #s(literal 1 binary64) z)))
#s(approx (/ (* x y) (* (* (fabs z) z) (+ z 1))) (/.f64 (.f64 x y) (.f64 z (fabs.f64 z))))
#s(approx (/ (* x y) (* (* (fabs z) z) (+ z 1))) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 x (.f64 y z)) (fabs.f64 z)) (/.f64 (*.f64 x y) (fabs.f64 z))) z))
#s(approx (/ (* x y) (* (* (fabs z) z) (+ z 1))) (/.f64 (fma.f64 z (-.f64 (/.f64 (.f64 x (.f64 y z)) (fabs.f64 z)) (/.f64 (.f64 x y) (fabs.f64 z))) (/.f64 (.f64 x y) (fabs.f64 z))) z))
#s(approx (/ (* x y) (* (* (fabs z) z) (+ z 1))) (/.f64 (fma.f64 z (-.f64 (.f64 z (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x (.f64 y z)) (fabs.f64 z))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 x y) (fabs.f64 z))))) (/.f64 (.f64 x y) (fabs.f64 z))) (/.f64 (.f64 x y) (fabs.f64 z))) z))
#s(approx (* (* (fabs z) z) (+ z 1)) (*.f64 z (fabs.f64 z)))
#s(approx (* (* (fabs z) z) (+ z 1)) (.f64 z (+.f64 (fabs.f64 z) (.f64 z (fabs.f64 z)))))
#s(approx (fabs z) (fabs.f64 z))
#s(approx (+ z 1) (+.f64 #s(literal 1 binary64) z))
#s(approx (* (* (/ (/ x z) (* (* z z) (+ (* z z) 1))) (+ (* z z) z)) y) (/.f64 (*.f64 x y) (pow.f64 z #s(literal 3 binary64))))
#s(approx (* (* (/ (/ x z) (* (* z z) (+ (* z z) 1))) (+ (* z z) z)) y) (/.f64 (fma.f64 x y (/.f64 (*.f64 x y) z)) (pow.f64 z #s(literal 3 binary64))))
#s(approx (* (* (/ (/ x z) (* (* z z) (+ (* z z) 1))) (+ (* z z) z)) y) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 x y) (pow.f64 z #s(literal 2 binary64))) (fma.f64 x y (/.f64 (.f64 x y) z))) (pow.f64 z #s(literal 3 binary64))))
#s(approx (* (* (/ (/ x z) (* (* z z) (+ (* z z) 1))) (+ (* z z) z)) y) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 x y) (pow.f64 z #s(literal 3 binary64))) (fma.f64 x y (/.f64 (.f64 x y) z))) (/.f64 (*.f64 x y) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 z #s(literal 3 binary64))))
#s(approx (* (/ (/ x z) (* (* z z) (+ (* z z) 1))) (+ (* z z) z)) (/.f64 (+.f64 x (/.f64 x z)) (pow.f64 z #s(literal 3 binary64))))
#s(approx (* (/ (/ x z) (* (* z z) (+ (* z z) 1))) (+ (* z z) z)) (/.f64 (+.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 z #s(literal 2 binary64))) (/.f64 x z))) (pow.f64 z #s(literal 3 binary64))))
#s(approx (* (/ (/ x z) (* (* z z) (+ (* z z) 1))) (+ (* z z) z)) (/.f64 (-.f64 (+.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 z #s(literal 3 binary64))) (/.f64 x z))) (/.f64 x (pow.f64 z #s(literal 2 binary64)))) (pow.f64 z #s(literal 3 binary64))))
#s(approx (/ (/ x z) (* (* z z) (+ (* z z) 1))) (/.f64 x (pow.f64 z #s(literal 5 binary64))))
#s(approx (/ (/ x z) (* (* z z) (+ (* z z) 1))) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 z #s(literal 2 binary64))))) (pow.f64 z #s(literal 5 binary64))))
#s(approx (/ (/ x z) (* (* z z) (+ (* z z) 1))) (/.f64 (-.f64 (+.f64 x (/.f64 x (pow.f64 z #s(literal 4 binary64)))) (/.f64 x (pow.f64 z #s(literal 2 binary64)))) (pow.f64 z #s(literal 5 binary64))))
#s(approx (/ (/ x z) (* (* z z) (+ (* z z) 1))) (/.f64 (-.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 z #s(literal 6 binary64))))) (fma.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 z #s(literal 4 binary64))) (/.f64 x (pow.f64 z #s(literal 2 binary64))))) (pow.f64 z #s(literal 5 binary64))))
#s(approx (* (* z z) (+ (* z z) 1)) (pow.f64 z #s(literal 4 binary64)))
#s(approx (* (* z z) (+ (* z z) 1)) (*.f64 (pow.f64 z #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
#s(approx (+ (* z z) 1) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 2 binary64))))))
#s(approx (+ (* z z) z) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))))
#s(approx (/ (* x y) (* (* (fabs z) z) (+ z 1))) (/.f64 (.f64 x y) (.f64 (pow.f64 z #s(literal 2 binary64)) (fabs.f64 z))))
#s(approx (/ (* x y) (* (* (fabs z) z) (+ z 1))) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 x y) (.f64 z (fabs.f64 z))) (/.f64 (*.f64 x y) (fabs.f64 z))) (pow.f64 z #s(literal 2 binary64))))
#s(approx (/ (* x y) (* (* (fabs z) z) (+ z 1))) (/.f64 (-.f64 (+.f64 (/.f64 (.f64 x y) (fabs.f64 z)) (/.f64 (.f64 x y) (.f64 (pow.f64 z #s(literal 2 binary64)) (fabs.f64 z)))) (/.f64 (.f64 x y) (*.f64 z (fabs.f64 z)))) (pow.f64 z #s(literal 2 binary64))))
#s(approx (/ (* x y) (* (* (fabs z) z) (+ z 1))) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 x y) (.f64 (pow.f64 z #s(literal 3 binary64)) (fabs.f64 z))) (/.f64 (.f64 x y) (fabs.f64 z))) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 x y) (.f64 (pow.f64 z #s(literal 2 binary64)) (fabs.f64 z))) (/.f64 (.f64 x y) (*.f64 z (fabs.f64 z))))) (pow.f64 z #s(literal 2 binary64))))
#s(approx (* (* (fabs z) z) (+ z 1)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (fabs.f64 z)))
#s(approx (* (* (fabs z) z) (+ z 1)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (fabs.f64 z) (/.f64 (fabs.f64 z) z))))
#s(approx (+ z 1) (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))))
#s(approx (* (* (/ (/ x z) (* (* z z) (+ (* z z) 1))) (+ (* z z) z)) y) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (.f64 x y) (.f64 #s(literal -1 binary64) (/.f64 (.f64 x y) z))) (pow.f64 z #s(literal 3 binary64)))))
#s(approx (* (* (/ (/ x z) (* (* z z) (+ (* z z) 1))) (+ (* z z) z)) y) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (.f64 x y) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 x y) z) (*.f64 x y)) z))) (pow.f64 z #s(literal 3 binary64)))))
#s(approx (* (* (/ (/ x z) (* (* z z) (+ (* z z) 1))) (+ (* z z) z)) y) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (.f64 x y) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x y (/.f64 (.f64 x y) z)) z) (*.f64 x y)) z))) (pow.f64 z #s(literal 3 binary64)))))
#s(approx (* (/ (/ x z) (* (* z z) (+ (* z z) 1))) (+ (* z z) z)) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) x (.f64 #s(literal -1 binary64) (/.f64 x z))) (pow.f64 z #s(literal 3 binary64)))))
#s(approx (* (/ (/ x z) (* (* z z) (+ (* z z) 1))) (+ (* z z) z)) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) x (.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x z))) z))) (pow.f64 z #s(literal 3 binary64)))))
#s(approx (* (/ (/ x z) (* (* z z) (+ (* z z) 1))) (+ (* z z) z)) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) x (.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (/.f64 x z)) z))) z))) (pow.f64 z #s(literal 3 binary64)))))
#s(approx (/ (/ x z) (* (* z z) (+ (* z z) 1))) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) x (/.f64 x (pow.f64 z #s(literal 2 binary64)))) (pow.f64 z #s(literal 5 binary64)))))
#s(approx (/ (/ x z) (* (* z z) (+ (* z z) 1))) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) x (fma.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 z #s(literal 4 binary64))) (/.f64 x (pow.f64 z #s(literal 2 binary64))))) (pow.f64 z #s(literal 5 binary64)))))
#s(approx (/ (/ x z) (* (* z z) (+ (* z z) 1))) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) x (fma.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 z #s(literal 4 binary64))) (+.f64 (/.f64 x (pow.f64 z #s(literal 2 binary64))) (/.f64 x (pow.f64 z #s(literal 6 binary64)))))) (pow.f64 z #s(literal 5 binary64)))))
#s(approx (/ (* x y) (* (* (fabs z) z) (+ z 1))) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 x y) (.f64 z (fabs.f64 z))) (/.f64 (.f64 x y) (fabs.f64 z))) z) (/.f64 (.f64 x y) (fabs.f64 z))) (pow.f64 z #s(literal 2 binary64))))
#s(approx (/ (* x y) (* (* (fabs z) z) (+ z 1))) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 x y) (.f64 z (fabs.f64 z))) (/.f64 (.f64 x y) (fabs.f64 z))) z) (/.f64 (.f64 x y) (fabs.f64 z))) z) (/.f64 (*.f64 x y) (fabs.f64 z))) (pow.f64 z #s(literal 2 binary64))))

Calls

9 calls:

Time	Variable	Point
45.0ms	y	inf
16.0ms	z	-inf
7.0ms	y	0
6.0ms	y	-inf
5.0ms	x	0

rewrite309.0ms (7.2%)

Memory

-14.4MiB live, 211.1MiB allocated; 94ms collecting garbage

Counts

18 → 71

Calls

Call 1

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

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

eval14.0ms (0.3%)

Memory: 28.6MiB live, 28.6MiB allocated; 0ms collecting garbage
Compiler: Compiled 3 615 to 659 computations (81.8% saved)

prune7.0ms (0.2%)

Memory

13.7MiB live, 13.7MiB allocated; 0ms collecting garbage

Pruning

13 alts after pruning (3 fresh and 10 done)

	Pruned	Kept	Total
New	128	3	131
Fresh	0	0	0
Picked	2	0	2
Done	0	10	10
Total	130	13	143

Accuracy

96.7%

Counts

143 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	59.3%	(/.f64 (.f64 x y) (.f64 (fma.f64 z z z) z))
✓	59.3%	(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))
✓	53.6%	(/.f64 (.f64 x y) (.f64 #s(approx (+ (* z z) z) z) z))
	53.6%	(/.f64 (.f64 x y) #s(approx ( (* (fabs z) z) (+ z 1)) (*.f64 z (fabs.f64 z))))
✓	60.6%	(.f64 (/.f64 y (.f64 (fma.f64 z z z) z)) x)
✓	53.8%	(.f64 (/.f64 y (.f64 #s(approx (+ (* z z) z) z) z)) x)
✓	65.0%	(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z))
✓	61.6%	(.f64 (/.f64 x (.f64 (fma.f64 z z z) z)) y)
✓	56.3%	(.f64 (/.f64 x (.f64 #s(approx (+ (* z z) z) z) z)) y)
✓	53.4%	(.f64 (/.f64 x #s(approx (+ ( z z) z) z)) (/.f64 y z))
	31.6%	(.f64 (.f64 (/.f64 (/.f64 x z) (.f64 (.f64 z z) #s(approx (+ (* z z) 1) #s(literal 1 binary64)))) (fma.f64 z z z)) y)
✓	58.3%	(.f64 (.f64 (/.f64 x (.f64 (.f64 z z) (fma.f64 z z #s(literal 1 binary64)))) (-.f64 z #s(literal 1 binary64))) y)
	33.4%	#s(approx (/ (* x y) (* (* (fabs z) z) (+ z 1))) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 x (.f64 y z)) (fabs.f64 z)) (/.f64 (*.f64 x y) (fabs.f64 z))) z))

Compiler

Compiled 189 to 132 computations (30.2% saved)

regimes182.0ms (4.2%)

Memory

-8.8MiB live, 177.9MiB allocated; 75ms collecting garbage

Accuracy

Total -2.7b remaining (-2.3%)

Threshold costs -2.7b (-2.3%)

Counts

3 → 1

7 → 2

10 → 2

12 → 1

16 → 3

Calls

Call 1

Inputs
(.f64 (/.f64 x (.f64 #s(approx (+ (* z z) z) z) z)) y)
(.f64 (/.f64 y (.f64 #s(approx (+ (* z z) z) z) z)) x)
(/.f64 (.f64 x y) (.f64 #s(approx (+ (* z z) z) z) z))

Outputs
(.f64 (/.f64 x (.f64 #s(approx (+ (* z z) z) z) z)) y)

Call 2

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

Outputs
(.f64 (/.f64 x #s(approx (+ ( z z) z) z)) (/.f64 y z))
(.f64 (/.f64 x (.f64 #s(approx (+ (* z z) z) z) z)) y)

Call 3

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

Outputs
(.f64 (/.f64 x #s(approx (+ ( z z) z) z)) (/.f64 y z))
(.f64 (/.f64 x (.f64 (fma.f64 z z z) z)) y)

Call 4

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

Outputs
(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z))

Call 5

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

Outputs

(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z))

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

(*.f64 (/.f64 x (fma.f64 z z z)) (/.f64 y z))

Calls

26 calls:

44.0ms	z
35.0ms	x
15.0ms	y
8.0ms	(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))
5.0ms	y

Results

Accuracy	Segments	Branch
56.3%	1	`(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))`
56.3%	1	`y`
56.3%	1	`(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))`
56.3%	1	`z`
56.3%	1	`(*.f64 x y)`
56.3%	1	`x`
58.5%	2	`(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))`
58.9%	2	`y`
58.9%	2	`(*.f64 x y)`
58.9%	2	`(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))`
58.9%	2	`z`
64.2%	2	`(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))`
64.2%	2	`z`
61.6%	1	`y`
61.6%	1	`x`
63.4%	2	`(*.f64 x y)`
61.6%	1	`(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))`
65.0%	1	`z`
65.0%	1	`(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))`
65.0%	1	`(*.f64 x y)`
65.0%	1	`(.f64 (.f64 z z) (+.f64 z #s(literal 1 binary64)))`
68.5%	3	`(*.f64 x y)`
68.3%	3	`(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))))`
65.0%	1	`x`
65.0%	1	`y`
66.7%	2	`z`

Compiler

Compiled 345 to 200 computations (42% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.599032704155406e+152	8.554750340125107e+153
0.0ms	2.702916585730903e+67	3.020844949856785e+68

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch7.0ms (0.2%)

Memory

11.2MiB live, 11.2MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
6.0ms	1.4873200919358923e-97	3.501917123548476e-97

Samples

3.0ms

80×

valid

Compiler

Compiled 129 to 105 computations (18.6% saved)

Precisions

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

ival-mult!: 1.0ms (64% 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

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.7233021754954585e-101	1.2902188306261605e-97

Compiler

Compiled 14 to 15 computations (-7.1% saved)

derivations6.0ms (0.1%)

Memory

-42.3MiB live, 3.5MiB allocated; 5ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 130 to 39 computations (70% saved)

preprocess921.0ms (21.5%)

Memory

9.5MiB live, 1 018.1MiB allocated; 371ms collecting garbage

Remove

(abs z)

(negabs z)

(abs y)

(abs x)

Compiler

Compiled 3 313 to 1 750 computations (47.2% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze83.0ms (1.9%)

sample987.0ms (23%)

preprocess51.0ms (1.2%)

series194.0ms (4.5%)

rewrite255.0ms (5.9%)

eval9.0ms (0.2%)

prune6.0ms (0.1%)

series197.0ms (4.6%)

rewrite228.0ms (5.3%)

eval17.0ms (0.4%)

prune7.0ms (0.2%)

series219.0ms (5.1%)

rewrite265.0ms (6.2%)

eval39.0ms (0.9%)

prune14.0ms (0.3%)

series272.0ms (6.3%)

rewrite309.0ms (7.2%)

eval14.0ms (0.3%)

prune7.0ms (0.2%)

regimes182.0ms (4.2%)

bsearch1.0ms (0%)

bsearch7.0ms (0.2%)

bsearch0.0ms (0%)

derivations6.0ms (0.1%)

preprocess921.0ms (21.5%)

end0.0ms (0%)

Profiling