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

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

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

Algorithm

1×

Search

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

Compiler

Compiled 11 to 10 computations (9.1% saved)

sample713.0ms (26.9%)

Memory

52.1MiB live, 1 182.6MiB allocated; 319ms collecting garbage

Samples

492.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 171.0ms

ival-mult!: 143.0ms (83.8% of total)

ival-sub!: 26.0ms (15.2% of total)

adjust: 1.0ms (0.6% of total)

Bogosity

preprocess66.0ms (2.5%)

Memory

-33.6MiB live, 55.7MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	94
1	116	90
2	365	90
3	790	90
4	1296	90
5	4302	90

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.4%	(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))

Symmetry

(abs x)

(sort y z)

Compiler

Compiled 16 to 16 computations (0% saved)

series9.0ms (0.3%)

Memory

17.9MiB live, 17.9MiB allocated; 0ms collecting garbage

Counts

8 → 14

Calls

Call 1

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

Outputs
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (* -4 (* y z))))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (- (pow x 2) (* 4 (* y z)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2)))))))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (+ (* -4 (* y z)) (pow x 2))))
#s(approx (* (* y 4) z) #s(hole binary64 (* 4 (* y z))))
#s(approx (* y 4) #s(hole binary64 (* 4 y)))
#s(approx y #s(hole binary64 y))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (* y (- (/ (pow x 2) y) (* 4 z)))))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 z))))))
#s(approx z #s(hole binary64 z))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (* z (- (/ (pow x 2) z) (* 4 y)))))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (* -1 (* z (- (* -1 (/ (pow x 2) z)) (* -4 y))))))

Calls

9 calls:

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

rewrite223.0ms (8.4%)

Memory

6.9MiB live, 191.4MiB allocated; 95ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	228
0	62	220
1	282	220
2	2252	220
0	8442	204
1	27362	204

Stop Event

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

Counts

22 → 131

Calls

Call 1

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

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

eval24.0ms (0.9%)

Memory: -20.5MiB live, 28.8MiB allocated; 21ms collecting garbage
Compiler: Compiled 621 to 283 computations (54.4% saved)

prune5.0ms (0.2%)

Memory

13.9MiB live, 13.9MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	119	3	122
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	120	3	123

Accuracy

100.0%

Counts

123 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.2%	(fma.f64 (.f64 #s(literal -4 binary64) z) y (.f64 x x))
▶	99.2%	(fma.f64 x x (.f64 (.f64 z y) #s(literal -4 binary64)))
▶	54.7%	#s(approx (- (* x x) (* (* y 4) z)) (.f64 (.f64 z y) #s(literal -4 binary64)))

Compiler

Compiled 26 to 26 computations (0% saved)

series8.0ms (0.3%)

Memory

21.0MiB live, 21.0MiB allocated; 0ms collecting garbage

Counts

11 → 18

Calls

Call 1

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

Outputs
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (* -4 (* y z))))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (- (pow x 2) (* 4 (* y z)))))
#s(approx (+ (* x x) (* (* z y) -4)) #s(hole binary64 (+ (* -4 (* y z)) (pow x 2))))
#s(approx x #s(hole binary64 x))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2)))))))
#s(approx (* z y) #s(hole binary64 (* y z)))
#s(approx y #s(hole binary64 y))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (* y (- (/ (pow x 2) y) (* 4 z)))))
#s(approx (+ (* x x) (* (* z y) -4)) #s(hole binary64 (* y (+ (* -4 z) (/ (pow x 2) y)))))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 z))))))
#s(approx (+ (* x x) (* (* z y) -4)) #s(hole binary64 (* -1 (* y (+ (* -1 (/ (pow x 2) y)) (* 4 z))))))
#s(approx z #s(hole binary64 z))
#s(approx (* -4 z) #s(hole binary64 (* -4 z)))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (* z (- (/ (pow x 2) z) (* 4 y)))))
#s(approx (+ (* x x) (* (* z y) -4)) #s(hole binary64 (* z (+ (* -4 y) (/ (pow x 2) z)))))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (* -1 (* z (- (* -1 (/ (pow x 2) z)) (* -4 y))))))
#s(approx (+ (* x x) (* (* z y) -4)) #s(hole binary64 (* -1 (* z (+ (* -1 (/ (pow x 2) z)) (* 4 y))))))

Calls

9 calls:

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

rewrite267.0ms (10.1%)

Memory

9.1MiB live, 192.8MiB allocated; 68ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	78	336
0	83	286
1	428	286
2	3088	286
0	9786	285
1	31944	285

Stop Event

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

Counts

29 → 436

Calls

Call 1

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

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

eval101.0ms (3.8%)

Memory: -22.4MiB live, 64.8MiB allocated; 19ms collecting garbage
Compiler: Compiled 1 602 to 507 computations (68.4% saved)

prune6.0ms (0.2%)

Memory

19.0MiB live, 19.0MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	275	1	276
Fresh	0	0	0
Picked	1	2	3
Done	0	0	0
Total	276	3	279

Accuracy

100.0%

Counts

279 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.2%	(fma.f64 (.f64 #s(literal -4 binary64) z) y (.f64 x x))
✓	99.2%	(fma.f64 x x (.f64 (.f64 z y) #s(literal -4 binary64)))
▶	54.7%	#s(approx (- (* x x) (* (* y 4) z)) (.f64 (.f64 #s(literal -4 binary64) z) y))

Compiler

Compiled 26 to 26 computations (0% saved)

series5.0ms (0.2%)

Memory

13.8MiB live, 13.8MiB allocated; 0ms collecting garbage

Counts

6 → 12

Calls

Call 1

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

Outputs
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (* -4 (* y z))))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (- (pow x 2) (* 4 (* y z)))))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (pow x 2)))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2)))))))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (+ (* -4 (* y z)) (pow x 2))))
#s(approx y #s(hole binary64 y))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (* y (- (/ (pow x 2) y) (* 4 z)))))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 z))))))
#s(approx (* -4 z) #s(hole binary64 (* -4 z)))
#s(approx z #s(hole binary64 z))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (* z (- (/ (pow x 2) z) (* 4 y)))))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (* -1 (* z (- (* -1 (/ (pow x 2) z)) (* -4 y))))))

Calls

9 calls:

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

rewrite543.0ms (20.5%)

Memory

-48.5MiB live, 160.2MiB allocated; 834ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	222
0	58	214
1	275	214
2	2279	214
0	8586	197
1	28008	197

Stop Event

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

Counts

18 → 33

Calls

Call 1

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

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

eval2.0ms (0.1%)

Memory: 7.1MiB live, 7.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 129 to 83 computations (35.7% saved)

prune2.0ms (0.1%)

Memory

6.1MiB live, 6.1MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	23	1	24
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	23	4	27

Accuracy

100.0%

Counts

27 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.2%	(fma.f64 (.f64 #s(literal -4 binary64) z) y (.f64 x x))
✓	99.2%	(fma.f64 x x (.f64 (.f64 z y) #s(literal -4 binary64)))
✓	54.7%	#s(approx (- (* x x) (* (* y 4) z)) (.f64 (.f64 #s(literal -4 binary64) z) y))
▶	51.5%	#s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x))

Compiler

Compiled 36 to 36 computations (0% saved)

series3.0ms (0.1%)

Memory

10.1MiB live, 10.1MiB allocated; 0ms collecting garbage

Counts

3 → 10

Calls

Call 1

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

Outputs
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (* -4 (* y z))))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (- (pow x 2) (* 4 (* y z)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2)))))))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (+ (* -4 (* y z)) (pow x 2))))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (* y (- (/ (pow x 2) y) (* 4 z)))))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 z))))))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (* z (- (/ (pow x 2) z) (* 4 y)))))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (* -1 (* z (- (* -1 (/ (pow x 2) z)) (* -4 y))))))

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	((- (* x x) (* (* y 4) z)) (* x x) x)
1.0ms	x	@	-inf	((- (* x x) (* (* y 4) z)) (* x x) x)
0.0ms	x	@	0	((- (* x x) (* (* y 4) z)) (* x x) x)
0.0ms	y	@	inf	((- (* x x) (* (* y 4) z)) (* x x) x)
0.0ms	y	@	-inf	((- (* x x) (* (* y 4) z)) (* x x) x)

rewrite320.0ms (12.1%)

Memory

15.1MiB live, 198.2MiB allocated; 56ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	197
0	53	189
1	271	189
2	2243	189
0	8443	173
1	27366	173

Stop Event

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

Counts

13 → 70

Calls

Call 1

Inputs
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x))
(*.f64 x x)
x
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (* -4 (* y z))))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (- (pow x 2) (* 4 (* y z)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2)))))))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (+ (* -4 (* y z)) (pow x 2))))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (* y (- (/ (pow x 2) y) (* 4 z)))))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 z))))))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (* z (- (/ (pow x 2) z) (* 4 y)))))
#s(approx (- (* x x) (* (* y 4) z)) #s(hole binary64 (* -1 (* z (- (* -1 (/ (pow x 2) z)) (* -4 y))))))

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

eval10.0ms (0.4%)

Memory: -25.3MiB live, 16.3MiB allocated; 11ms collecting garbage
Compiler: Compiled 337 to 195 computations (42.1% saved)

prune3.0ms (0.1%)

Memory

8.2MiB live, 8.2MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	64	4	68

Accuracy

100.0%

Counts

68 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.2%	(fma.f64 (.f64 #s(literal -4 binary64) z) y (.f64 x x))
✓	99.2%	(fma.f64 x x (.f64 (.f64 z y) #s(literal -4 binary64)))
✓	54.7%	#s(approx (- (* x x) (* (* y 4) z)) (.f64 (.f64 #s(literal -4 binary64) z) y))
✓	51.5%	#s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x))

Compiler

Compiled 68 to 59 computations (13.2% saved)

regimes31.0ms (1.2%)

Memory

-10.7MiB live, 46.4MiB allocated; 19ms collecting garbage

Counts

6 → 1

Calls

Call 1

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

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

Calls

7 calls:

17.0ms	(.f64 (.f64 y #s(literal 4 binary64)) z)
2.0ms	x
2.0ms	(*.f64 y #s(literal 4 binary64))
2.0ms	y
2.0ms	z

Results

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

Compiler

Compiled 21 to 32 computations (-52.4% saved)

regimes14.0ms (0.5%)

Memory

-6.2MiB live, 38.7MiB allocated; 5ms collecting garbage

Counts

3 → 2

Calls

Call 1

Inputs

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

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

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

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

Calls

7 calls:

2.0ms	z
1.0ms	(*.f64 y #s(literal 4 binary64))
1.0ms	y
1.0ms	x
1.0ms	(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))

Results

Accuracy	Segments	Branch
69.9%	3	`(*.f64 y #s(literal 4 binary64))`
74.8%	3	`(.f64 (.f64 y #s(literal 4 binary64)) z)`
86.8%	2	`(*.f64 x x)`
73.9%	2	`(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))`
86.8%	2	`x`
69.9%	3	`y`
68.5%	3	`z`

Compiler

Compiled 21 to 32 computations (-52.4% saved)

regimes7.0ms (0.3%)

Memory

28.5MiB live, 28.5MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
51.5%	1	`z`
51.5%	1	`(*.f64 y #s(literal 4 binary64))`
51.5%	1	`y`
51.5%	1	`(.f64 (.f64 y #s(literal 4 binary64)) z)`
51.5%	1	`(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))`
51.5%	1	`(*.f64 x x)`
51.5%	1	`x`

Compiler

Compiled 21 to 32 computations (-52.4% saved)

bsearch11.0ms (0.4%)

Memory

-22.8MiB live, 22.9MiB allocated; 4ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	556784115667035700.0	3380950740944204300.0

Samples

4.0ms

96×

valid

Compiler

Compiled 144 to 158 computations (-9.7% saved)

Precisions

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

ival-mult!: 1.0ms (68.9% of total)

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

adjust: 0.0ms (0% of total)

derivations183.0ms (6.9%)

Memory

40.3MiB live, 136.5MiB allocated; 21ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 24 to 20 computations (16.7% saved)

preprocess91.0ms (3.5%)

Memory

-12.5MiB live, 71.3MiB allocated; 20ms collecting garbage

Remove

(sort y z)

(abs x)

Compiler

Compiled 226 to 198 computations (12.4% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample713.0ms (26.9%)

preprocess66.0ms (2.5%)

series9.0ms (0.3%)

rewrite223.0ms (8.4%)

eval24.0ms (0.9%)

prune5.0ms (0.2%)

series8.0ms (0.3%)

rewrite267.0ms (10.1%)

eval101.0ms (3.8%)

prune6.0ms (0.2%)

series5.0ms (0.2%)

rewrite543.0ms (20.5%)

eval2.0ms (0.1%)

prune2.0ms (0.1%)

series3.0ms (0.1%)

rewrite320.0ms (12.1%)

eval10.0ms (0.4%)

prune3.0ms (0.1%)

regimes31.0ms (1.2%)

regimes14.0ms (0.5%)

regimes7.0ms (0.3%)

bsearch11.0ms (0.4%)

derivations183.0ms (6.9%)

preprocess91.0ms (3.5%)

end0.0ms (0%)

Profiling