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

0.3MiB live, 0.3MiB 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)

sample749.0ms (52.1%)

Memory

6.0MiB live, 716.0MiB allocated; 196ms collecting garbage

Samples

494.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 242.0ms

ival-mult!: 225.0ms (92.8% of total)

ival-sub!: 16.0ms (6.6% of total)

adjust: 2.0ms (0.8% of total)

Bogosity

preprocess52.0ms (3.6%)

Memory

-31.1MiB live, 14.3MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	31	97
1	91	93
2	245	93
3	565	90
4	1054	90
5	3452	90

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.9%	(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))

Symmetry

(abs x)

(sort y z)

Compiler

Compiled 18 to 16 computations (11.1% saved)

series9.0ms (0.6%)

Memory

7.0MiB live, 7.0MiB 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)

rewrite87.0ms (6.1%)

Memory

-2.6MiB live, 94.5MiB allocated; 27ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	228
0	62	224
1	240	224
0	1814	208

Stop Event

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

Counts

22 → 173

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
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 z z) (.f64 #s(literal 16 binary64) (.f64 y y))) (.f64 (.f64 (.f64 x x) x) x))) (neg.f64 (-.f64 (.f64 (.f64 z y) #s(literal -4 binary64)) (.f64 x x))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 z z) (.f64 #s(literal 16 binary64) (.f64 y y))))) (neg.f64 (fma.f64 (.f64 z #s(literal 4 binary64)) y (*.f64 x x))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 z z) (.f64 #s(literal 16 binary64) (.f64 y y))) (.f64 (.f64 z y) #s(literal -4 binary64)) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)))) (neg.f64 (fma.f64 (.f64 z z) (.f64 #s(literal 16 binary64) (.f64 y y)) (.f64 (.f64 x x) (fma.f64 (.f64 z #s(literal 4 binary64)) y (.f64 x x))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) (.f64 (.f64 (.f64 z z) (.f64 #s(literal 16 binary64) (.f64 y y))) (.f64 (.f64 z #s(literal 4 binary64)) y)))) (neg.f64 (fma.f64 (.f64 (.f64 x x) x) x (.f64 (.f64 (.f64 z #s(literal 4 binary64)) y) (fma.f64 (.f64 z #s(literal 4 binary64)) y (*.f64 x x))))))
(/.f64 (-.f64 (.f64 (.f64 z z) (.f64 #s(literal 16 binary64) (.f64 y y))) (.f64 (.f64 (.f64 x x) x) x)) (-.f64 (.f64 (.f64 z y) #s(literal -4 binary64)) (.f64 x x)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 z z) (.f64 #s(literal 16 binary64) (.f64 y y)))) (fma.f64 (.f64 z #s(literal 4 binary64)) y (*.f64 x x)))
(/.f64 (fma.f64 (.f64 (.f64 z z) (.f64 #s(literal 16 binary64) (.f64 y y))) (.f64 (.f64 z y) #s(literal -4 binary64)) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x))) (fma.f64 (.f64 (.f64 x x) x) x (-.f64 (.f64 (.f64 z z) (.f64 #s(literal 16 binary64) (.f64 y y))) (.f64 (.f64 (.f64 (*.f64 z y) #s(literal -4 binary64)) x) x))))
(/.f64 (fma.f64 (.f64 (.f64 z z) (.f64 #s(literal 16 binary64) (.f64 y y))) (.f64 (.f64 z y) #s(literal -4 binary64)) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x))) (fma.f64 (.f64 z z) (.f64 #s(literal 16 binary64) (.f64 y y)) (.f64 (.f64 x x) (fma.f64 (.f64 z #s(literal 4 binary64)) y (.f64 x x)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) (.f64 (.f64 (.f64 z z) (.f64 #s(literal 16 binary64) (.f64 y y))) (.f64 (.f64 z #s(literal 4 binary64)) y))) (fma.f64 (.f64 (.f64 x x) x) x (.f64 (.f64 (.f64 z #s(literal 4 binary64)) y) (fma.f64 (.f64 z #s(literal 4 binary64)) y (*.f64 x x)))))
(fma.f64 (.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 (.f64 (neg.f64 z) y) #s(literal 4 binary64)))
(fma.f64 (.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 (neg.f64 z) (.f64 #s(literal 4 binary64) y)))
(fma.f64 (.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 (neg.f64 y) (.f64 z #s(literal 4 binary64))))
(fma.f64 (.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 (.f64 z y) #s(literal -4 binary64)))
(fma.f64 (.f64 #s(literal 1 binary64) (fabs.f64 x)) (fabs.f64 x) (.f64 (*.f64 (neg.f64 z) y) #s(literal 4 binary64)))
(fma.f64 (.f64 #s(literal 1 binary64) (fabs.f64 x)) (fabs.f64 x) (.f64 (neg.f64 z) (*.f64 #s(literal 4 binary64) y)))
(fma.f64 (.f64 #s(literal 1 binary64) (fabs.f64 x)) (fabs.f64 x) (.f64 (neg.f64 y) (*.f64 z #s(literal 4 binary64))))
(fma.f64 (.f64 #s(literal 1 binary64) (fabs.f64 x)) (fabs.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 (neg.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 z) (.f64 #s(literal 4 binary64) y)))
(fma.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (.f64 #s(literal 1 binary64) (neg.f64 x)) (.f64 (neg.f64 y) (.f64 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 (*.f64 (neg.f64 z) y) #s(literal 4 binary64)))
(fma.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x) (.f64 (neg.f64 z) (*.f64 #s(literal 4 binary64) y)))
(fma.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x) (.f64 (neg.f64 y) (*.f64 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 (.f64 (neg.f64 z) y) #s(literal 4 binary64)))
(fma.f64 (.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1 binary64) x) (.f64 (neg.f64 z) (.f64 #s(literal 4 binary64) y)))
(fma.f64 (.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1 binary64) x) (.f64 (neg.f64 y) (.f64 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 (*.f64 (neg.f64 z) y) #s(literal 4 binary64)))
(fma.f64 (.f64 #s(literal 1 binary64) x) x (.f64 (neg.f64 z) (*.f64 #s(literal 4 binary64) y)))
(fma.f64 (.f64 #s(literal 1 binary64) x) x (.f64 (neg.f64 y) (*.f64 z #s(literal 4 binary64))))
(fma.f64 (.f64 #s(literal 1 binary64) x) x (.f64 (*.f64 z y) #s(literal -4 binary64)))
(fma.f64 (.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 (.f64 (neg.f64 z) y) #s(literal 4 binary64)))
(fma.f64 (.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 (neg.f64 z) (.f64 #s(literal 4 binary64) y)))
(fma.f64 (.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 (neg.f64 y) (.f64 z #s(literal 4 binary64))))
(fma.f64 (.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 (fabs.f64 x) #s(literal 1 binary64)) (.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 (neg.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 z) (.f64 #s(literal 4 binary64) y)))
(fma.f64 (.f64 (neg.f64 x) #s(literal 1 binary64)) (.f64 (neg.f64 x) #s(literal 1 binary64)) (.f64 (neg.f64 y) (.f64 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 (.f64 (neg.f64 z) y) #s(literal 4 binary64)))
(fma.f64 (.f64 x #s(literal 1 binary64)) (.f64 x #s(literal 1 binary64)) (.f64 (neg.f64 z) (.f64 #s(literal 4 binary64) y)))
(fma.f64 (.f64 x #s(literal 1 binary64)) (.f64 x #s(literal 1 binary64)) (.f64 (neg.f64 y) (.f64 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 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (.f64 (.f64 (neg.f64 z) y) #s(literal 4 binary64)))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (.f64 (neg.f64 z) (.f64 #s(literal 4 binary64) y)))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (.f64 (neg.f64 y) (.f64 z #s(literal 4 binary64))))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (.f64 (.f64 z y) #s(literal -4 binary64)))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (.f64 (.f64 (neg.f64 z) y) #s(literal 4 binary64)))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (.f64 (neg.f64 z) (.f64 #s(literal 4 binary64) y)))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (.f64 (neg.f64 y) (.f64 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 (.f64 (neg.f64 z) y) #s(literal 4 binary64)))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (.f64 (neg.f64 z) (.f64 #s(literal 4 binary64) y)))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (.f64 (neg.f64 y) (.f64 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 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (.f64 (.f64 (neg.f64 z) y) #s(literal 4 binary64)))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (.f64 (neg.f64 z) (.f64 #s(literal 4 binary64) y)))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (.f64 (neg.f64 y) (.f64 z #s(literal 4 binary64))))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (.f64 (.f64 z y) #s(literal -4 binary64)))
(fma.f64 (fabs.f64 x) (.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 (*.f64 (neg.f64 z) y) #s(literal 4 binary64)))
(fma.f64 (fabs.f64 x) (.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 (neg.f64 z) (*.f64 #s(literal 4 binary64) y)))
(fma.f64 (fabs.f64 x) (.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 (neg.f64 y) (*.f64 z #s(literal 4 binary64))))
(fma.f64 (fabs.f64 x) (.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 (*.f64 z y) #s(literal -4 binary64)))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (.f64 (.f64 (neg.f64 z) y) #s(literal 4 binary64)))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (.f64 (neg.f64 z) (.f64 #s(literal 4 binary64) y)))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (.f64 (neg.f64 y) (.f64 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 (*.f64 (neg.f64 z) y) #s(literal 4 binary64)))
(fma.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 1 binary64)) (.f64 (neg.f64 z) (*.f64 #s(literal 4 binary64) y)))
(fma.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 1 binary64)) (.f64 (neg.f64 y) (*.f64 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 (.f64 (neg.f64 z) y) #s(literal 4 binary64)))
(fma.f64 (neg.f64 x) (neg.f64 x) (.f64 (neg.f64 z) (.f64 #s(literal 4 binary64) y)))
(fma.f64 (neg.f64 x) (neg.f64 x) (.f64 (neg.f64 y) (.f64 z #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 #s(literal 1 binary64) (.f64 x x) (.f64 (*.f64 (neg.f64 z) y) #s(literal 4 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 x x) (.f64 (neg.f64 z) (*.f64 #s(literal 4 binary64) y)))
(fma.f64 #s(literal 1 binary64) (.f64 x x) (.f64 (neg.f64 y) (*.f64 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 x x) #s(literal 1 binary64) (.f64 (*.f64 (neg.f64 z) y) #s(literal 4 binary64)))
(fma.f64 (.f64 x x) #s(literal 1 binary64) (.f64 (neg.f64 z) (*.f64 #s(literal 4 binary64) y)))
(fma.f64 (.f64 x x) #s(literal 1 binary64) (.f64 (neg.f64 y) (*.f64 z #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 y (.f64 #s(literal -4 binary64) z) (.f64 x x))
(fma.f64 x (.f64 x #s(literal 1 binary64)) (.f64 (*.f64 (neg.f64 z) y) #s(literal 4 binary64)))
(fma.f64 x (.f64 x #s(literal 1 binary64)) (.f64 (neg.f64 z) (*.f64 #s(literal 4 binary64) y)))
(fma.f64 x (.f64 x #s(literal 1 binary64)) (.f64 (neg.f64 y) (*.f64 z #s(literal 4 binary64))))
(fma.f64 x (.f64 x #s(literal 1 binary64)) (.f64 (*.f64 z y) #s(literal -4 binary64)))
(fma.f64 x x (.f64 (.f64 (neg.f64 z) y) #s(literal 4 binary64)))
(fma.f64 x x (.f64 (neg.f64 z) (.f64 #s(literal 4 binary64) y)))
(fma.f64 x x (.f64 (neg.f64 y) (.f64 z #s(literal 4 binary64))))
(fma.f64 x x (.f64 (.f64 z y) #s(literal -4 binary64)))
(-.f64 (/.f64 (.f64 (.f64 z z) (.f64 #s(literal 16 binary64) (.f64 y y))) (-.f64 (.f64 (.f64 z y) #s(literal -4 binary64)) (.f64 x x))) (/.f64 (.f64 (.f64 (.f64 x x) x) x) (-.f64 (.f64 (.f64 z y) #s(literal -4 binary64)) (*.f64 x x))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) x) (fma.f64 (.f64 z #s(literal 4 binary64)) y (.f64 x x))) (/.f64 (.f64 (.f64 z z) (.f64 #s(literal 16 binary64) (.f64 y y))) (fma.f64 (.f64 z #s(literal 4 binary64)) y (*.f64 x x))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) (fma.f64 (.f64 (.f64 x x) x) x (.f64 (.f64 (.f64 z #s(literal 4 binary64)) y) (fma.f64 (.f64 z #s(literal 4 binary64)) y (.f64 x x))))) (/.f64 (.f64 (.f64 (.f64 z z) (.f64 #s(literal 16 binary64) (.f64 y y))) (.f64 (.f64 z #s(literal 4 binary64)) y)) (fma.f64 (.f64 (.f64 x x) x) x (.f64 (.f64 (.f64 z #s(literal 4 binary64)) y) (fma.f64 (.f64 z #s(literal 4 binary64)) y (.f64 x x))))))
(-.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 (.f64 (.f64 (.f64 z z) (.f64 #s(literal 16 binary64) (.f64 y y))) (.f64 (.f64 z y) #s(literal -4 binary64))) (fma.f64 (.f64 z z) (.f64 #s(literal 16 binary64) (.f64 y y)) (.f64 (.f64 x x) (fma.f64 (.f64 z #s(literal 4 binary64)) y (.f64 x x))))) (/.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) (fma.f64 (.f64 z z) (.f64 #s(literal 16 binary64) (.f64 y y)) (.f64 (.f64 x x) (fma.f64 (.f64 z #s(literal 4 binary64)) y (.f64 x x))))))
(+.f64 (.f64 x x) (.f64 (*.f64 (neg.f64 z) y) #s(literal 4 binary64)))
(+.f64 (.f64 x x) (.f64 (neg.f64 z) (*.f64 #s(literal 4 binary64) y)))
(+.f64 (.f64 x x) (.f64 (neg.f64 y) (*.f64 z #s(literal 4 binary64))))
(+.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 (.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 1 binary64) (fabs.f64 x)))
(.f64 (.f64 #s(literal 1 binary64) (fabs.f64 x)) (fabs.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 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (fabs.f64 x) #s(literal 1 binary64)))
(.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 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.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 (exp.f64 (log.f64 x)) #s(literal 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 (.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))
(fabs.f64 (*.f64 x x))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) #s(literal 0 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
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 #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 (neg.f64 (fma.f64 z #s(literal 4 binary64) (/.f64 (.f64 (neg.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 (neg.f64 (fma.f64 #s(literal 4 binary64) y (/.f64 (.f64 (neg.f64 x) x) z))) z))

eval14.0ms (1%)

Memory: 35.8MiB live, 35.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 2 446 to 325 computations (86.7% saved)

prune41.0ms (2.9%)

Memory

-33.5MiB live, 10.7MiB allocated; 8ms collecting garbage

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	163	3	166
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	164	3	167

Accuracy

100.0%

Counts

167 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.7%	(fma.f64 (.f64 #s(literal -4 binary64) y) z (.f64 x x))
▶	98.8%	(fma.f64 x x (.f64 (.f64 z y) #s(literal -4 binary64)))
▶	55.8%	#s(approx (- (* x x) (* (* y 4) z)) (.f64 (.f64 z y) #s(literal -4 binary64)))

Compiler

Compiled 31 to 26 computations (16.1% saved)

series7.0ms (0.5%)

Memory

18.0MiB live, 18.0MiB 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) y) z (.f64 x x))
(*.f64 #s(literal -4 binary64) y)
(*.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 (* -4 y) #s(hole binary64 (* -4 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 (- (* 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	y	@	-inf	((- (* x x) (* (* y 4) z)) (* (* z y) -4) (* z y) z y -4 (+ (* x x) (* (* z y) -4)) x (+ (* (* -4 y) z) (* x x)) (* -4 y) (* 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 y) z) (* x x)) (* -4 y) (* 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 y) z) (* x x)) (* -4 y) (* x x))
1.0ms	y	@	0	((- (* x x) (* (* y 4) z)) (* (* z y) -4) (* z y) z y -4 (+ (* x x) (* (* z y) -4)) x (+ (* (* -4 y) z) (* x x)) (* -4 y) (* 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 y) z) (* x x)) (* -4 y) (* x x))

rewrite106.0ms (7.4%)

Memory

11.1MiB live, 57.2MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	78	336
0	83	318
1	371	318
0	2616	309

Stop Event

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

Counts

29 → 357

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) y) z (.f64 x x))
(*.f64 #s(literal -4 binary64) y)
(*.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 (* -4 y) #s(hole binary64 (* -4 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 (- (* 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 (.f64 #s(literal -4 binary64) z) y)
(.f64 (.f64 #s(literal -4 binary64) y) z)
(.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 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 (.f64 (.f64 (.f64 y y) (.f64 #s(literal 16 binary64) (.f64 z z))) (.f64 (.f64 z y) #s(literal -4 binary64))) (pow.f64 (.f64 (neg.f64 x) x) #s(literal 3 binary64))) (fma.f64 (.f64 y y) (.f64 #s(literal 16 binary64) (.f64 z z)) (fma.f64 (.f64 (.f64 x x) x) x (.f64 (.f64 (.f64 z y) #s(literal -4 binary64)) (*.f64 (neg.f64 x) x)))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 y y) (.f64 #s(literal 16 binary64) (.f64 z z))) (.f64 (.f64 (.f64 x x) x) x))) (neg.f64 (-.f64 (.f64 (.f64 z y) #s(literal -4 binary64)) (.f64 x x))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 y y) (.f64 #s(literal 16 binary64) (.f64 z z))))) (neg.f64 (fma.f64 (.f64 #s(literal 4 binary64) y) z (*.f64 x x))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 y y) (.f64 #s(literal 16 binary64) (.f64 z z))) (.f64 (.f64 z y) #s(literal -4 binary64)) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)))) (neg.f64 (fma.f64 (.f64 y y) (.f64 #s(literal 16 binary64) (.f64 z z)) (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 4 binary64) y) z (.f64 x x))))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 y y) (.f64 #s(literal 16 binary64) (.f64 z z))) (.f64 (.f64 z y) #s(literal -4 binary64)) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)))) (neg.f64 (fma.f64 (.f64 (.f64 x x) x) x (.f64 (.f64 (.f64 z y) #s(literal -4 binary64)) (-.f64 (.f64 (.f64 z y) #s(literal -4 binary64)) (*.f64 x x))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) (.f64 (.f64 (.f64 y y) (.f64 #s(literal 16 binary64) (.f64 z z))) (.f64 (.f64 z y) #s(literal 4 binary64))))) (neg.f64 (fma.f64 (.f64 (.f64 x x) x) x (.f64 (.f64 (.f64 z y) #s(literal 4 binary64)) (fma.f64 (.f64 #s(literal 4 binary64) y) z (*.f64 x x))))))
(/.f64 (-.f64 (.f64 (.f64 y y) (.f64 #s(literal 16 binary64) (.f64 z z))) (.f64 (.f64 (.f64 x x) x) x)) (-.f64 (.f64 (.f64 z y) #s(literal -4 binary64)) (.f64 x x)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 y y) (.f64 #s(literal 16 binary64) (.f64 z z)))) (fma.f64 (.f64 #s(literal 4 binary64) y) z (*.f64 x x)))
(/.f64 (fma.f64 (.f64 (.f64 y y) (.f64 #s(literal 16 binary64) (.f64 z z))) (.f64 (.f64 z y) #s(literal -4 binary64)) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x))) (fma.f64 (.f64 y y) (.f64 #s(literal 16 binary64) (.f64 z z)) (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 4 binary64) y) z (.f64 x x)))))
(/.f64 (fma.f64 (.f64 (.f64 y y) (.f64 #s(literal 16 binary64) (.f64 z z))) (.f64 (.f64 z y) #s(literal -4 binary64)) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x))) (fma.f64 (.f64 (.f64 x x) x) x (.f64 (.f64 (.f64 z y) #s(literal -4 binary64)) (-.f64 (.f64 (.f64 z y) #s(literal -4 binary64)) (*.f64 x x)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) (.f64 (.f64 (.f64 y y) (.f64 #s(literal 16 binary64) (.f64 z z))) (.f64 (.f64 z y) #s(literal 4 binary64)))) (fma.f64 (.f64 (.f64 x x) x) x (.f64 (.f64 (.f64 z y) #s(literal 4 binary64)) (fma.f64 (.f64 #s(literal 4 binary64) y) z (*.f64 x x)))))
(fma.f64 (.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 (neg.f64 (.f64 (neg.f64 z) y)) #s(literal -4 binary64)))
(fma.f64 (.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 (.f64 (neg.f64 z) y) #s(literal 4 binary64)))
(fma.f64 (.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 (neg.f64 z) (.f64 #s(literal 4 binary64) y)))
(fma.f64 (.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 (neg.f64 y) (.f64 z #s(literal 4 binary64))))
(fma.f64 (.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 (fabs.f64 x) #s(literal 1 binary64)) (.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 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 (neg.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 z) (.f64 #s(literal 4 binary64) y)))
(fma.f64 (.f64 (neg.f64 x) #s(literal 1 binary64)) (.f64 (neg.f64 x) #s(literal 1 binary64)) (.f64 (neg.f64 y) (.f64 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 z) y)) #s(literal -4 binary64)))
(fma.f64 (.f64 x #s(literal 1 binary64)) (.f64 x #s(literal 1 binary64)) (.f64 (.f64 (neg.f64 z) y) #s(literal 4 binary64)))
(fma.f64 (.f64 x #s(literal 1 binary64)) (.f64 x #s(literal 1 binary64)) (.f64 (neg.f64 z) (.f64 #s(literal 4 binary64) y)))
(fma.f64 (.f64 x #s(literal 1 binary64)) (.f64 x #s(literal 1 binary64)) (.f64 (neg.f64 y) (.f64 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) (fabs.f64 x)) (.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 (neg.f64 (.f64 (neg.f64 z) y)) #s(literal -4 binary64)))
(fma.f64 (.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 (.f64 (neg.f64 z) y) #s(literal 4 binary64)))
(fma.f64 (.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 (neg.f64 z) (.f64 #s(literal 4 binary64) y)))
(fma.f64 (.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 (neg.f64 y) (.f64 z #s(literal 4 binary64))))
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(fma.f64 (.f64 #s(literal 1 binary64) x) x (.f64 (neg.f64 (*.f64 (neg.f64 z) y)) #s(literal -4 binary64)))
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(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (.f64 (.f64 (neg.f64 z) y) #s(literal 4 binary64)))
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(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (.f64 (neg.f64 y) (.f64 z #s(literal 4 binary64))))
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(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (.f64 (neg.f64 z) (.f64 #s(literal 4 binary64) y)))
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(fma.f64 (fabs.f64 x) (fabs.f64 x) (.f64 (neg.f64 z) (.f64 #s(literal 4 binary64) y)))
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(fma.f64 (neg.f64 x) (neg.f64 x) (.f64 (neg.f64 z) (.f64 #s(literal 4 binary64) y)))
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(fma.f64 #s(literal 1 binary64) (.f64 x x) (.f64 (neg.f64 y) (*.f64 z #s(literal 4 binary64))))
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(fma.f64 (.f64 #s(literal -4 binary64) y) z (.f64 (neg.f64 (neg.f64 x)) x))
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(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 (neg.f64 x)) x))
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(fma.f64 z (.f64 #s(literal -4 binary64) y) (.f64 (neg.f64 (neg.f64 x)) x))
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(fma.f64 y (.f64 #s(literal -4 binary64) z) (.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 y (.f64 #s(literal -4 binary64) z) (.f64 x x))
(fma.f64 (.f64 x x) #s(literal 1 binary64) (.f64 (neg.f64 (*.f64 (neg.f64 z) y)) #s(literal -4 binary64)))
(fma.f64 (.f64 x x) #s(literal 1 binary64) (.f64 (*.f64 (neg.f64 z) y) #s(literal 4 binary64)))
(fma.f64 (.f64 x x) #s(literal 1 binary64) (.f64 (neg.f64 z) (*.f64 #s(literal 4 binary64) y)))
(fma.f64 (.f64 x x) #s(literal 1 binary64) (.f64 (neg.f64 y) (*.f64 z #s(literal 4 binary64))))
(fma.f64 (.f64 x x) #s(literal 1 binary64) (.f64 (*.f64 z y) #s(literal -4 binary64)))
(fma.f64 x (.f64 x #s(literal 1 binary64)) (.f64 (neg.f64 (*.f64 (neg.f64 z) y)) #s(literal -4 binary64)))
(fma.f64 x (.f64 x #s(literal 1 binary64)) (.f64 (*.f64 (neg.f64 z) y) #s(literal 4 binary64)))
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(fma.f64 x x (.f64 (.f64 (neg.f64 z) y) #s(literal 4 binary64)))
(fma.f64 x x (.f64 (neg.f64 z) (.f64 #s(literal 4 binary64) y)))
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(+.f64 (.f64 x x) (.f64 (*.f64 (neg.f64 z) y) #s(literal 4 binary64)))
(+.f64 (.f64 x x) (.f64 (neg.f64 z) (*.f64 #s(literal 4 binary64) y)))
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(*.f64 #s(literal -4 binary64) y)
(*.f64 #s(literal 4 binary64) (neg.f64 y))
(*.f64 y #s(literal -4 binary64))
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(.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) (fabs.f64 x)) (*.f64 #s(literal 1 binary64) (fabs.f64 x)))
(.f64 (.f64 #s(literal 1 binary64) (fabs.f64 x)) (fabs.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 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.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 (exp.f64 (log.f64 x)) #s(literal 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 (.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))
(fabs.f64 (*.f64 x x))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) #s(literal 0 binary64)))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
#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) z) y (.f64 x x)))
#s(approx (- (* x x) (* (* y 4) z)) (fma.f64 (.f64 #s(literal -4 binary64) z) y (.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 (* -4 y) (*.f64 #s(literal -4 binary64) 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 (- (* x x) (* (* y 4) z)) (.f64 (neg.f64 (fma.f64 z #s(literal 4 binary64) (/.f64 (.f64 (neg.f64 x) x) y))) y))
#s(approx (- (* x x) (* (* y 4) z)) (.f64 (neg.f64 (fma.f64 z #s(literal 4 binary64) (/.f64 (.f64 (neg.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))
#s(approx (- (* x x) (* (* y 4) z)) (.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) y (/.f64 (.f64 (neg.f64 x) x) z))) z))
#s(approx (- (* x x) (* (* y 4) z)) (.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) y (/.f64 (.f64 (neg.f64 x) x) z))) z))

eval30.0ms (2.1%)

Memory: -5.3MiB live, 50.7MiB allocated; 13ms collecting garbage
Compiler: Compiled 3 111 to 388 computations (87.5% saved)

prune10.0ms (0.7%)

Memory

-26.4MiB live, 18.0MiB allocated; 9ms collecting garbage

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	209	1	210
Fresh	0	0	0
Picked	1	2	3
Done	0	0	0
Total	210	3	213

Accuracy

100.0%

Counts

213 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	97.7%	(fma.f64 (.f64 #s(literal -4 binary64) y) z (.f64 x x))
✓	98.8%	(fma.f64 x x (.f64 (.f64 z y) #s(literal -4 binary64)))
▶	55.8%	#s(approx (- (* x x) (* (* y 4) z)) (.f64 (.f64 #s(literal -4 binary64) z) y))

Compiler

Compiled 31 to 26 computations (16.1% saved)

series5.0ms (0.4%)

Memory

12.5MiB live, 12.5MiB 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)

rewrite64.0ms (4.5%)

Memory

29.5MiB live, 116.5MiB allocated; 11ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	222
0	58	218
1	233	218
0	1836	201

Stop Event

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

Counts

18 → 26

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

eval2.0ms (0.1%)

Memory: 7.3MiB live, 7.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 329 to 76 computations (76.9% saved)

prune10.0ms (0.7%)

Memory

-64.9MiB live, 4.8MiB allocated; 17ms collecting garbage

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	18	1	19
Fresh	0	0	0
Picked	0	1	1
Done	1	1	2
Total	19	3	22

Accuracy

100.0%

Counts

22 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.8%	(fma.f64 x x (.f64 (.f64 z y) #s(literal -4 binary64)))
✓	55.8%	#s(approx (- (* x x) (* (* y 4) z)) (.f64 (.f64 #s(literal -4 binary64) z) y))
▶	50.1%	#s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x))

Compiler

Compiled 36 to 29 computations (19.4% saved)

series6.0ms (0.4%)

Memory

14.0MiB live, 14.0MiB 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
3.0ms	x	@	0	((- (* x x) (* (* y 4) z)) (* x x) x)
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	y	@	inf	((- (* x x) (* (* y 4) z)) (* x x) x)
0.0ms	z	@	-inf	((- (* x x) (* (* y 4) z)) (* x x) x)

rewrite63.0ms (4.4%)

Memory

17.0MiB live, 108.5MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	197
0	53	193
1	229	193
0	1804	177

Stop Event

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

Counts

13 → 46

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 (.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 1 binary64) (fabs.f64 x)))
(.f64 (.f64 #s(literal 1 binary64) (fabs.f64 x)) (fabs.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 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (fabs.f64 x) #s(literal 1 binary64)))
(.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 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.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 (exp.f64 (log.f64 x)) #s(literal 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 (.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))
(fabs.f64 (*.f64 x x))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) #s(literal 0 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
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 (neg.f64 (fma.f64 z #s(literal 4 binary64) (/.f64 (.f64 (neg.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 (neg.f64 (fma.f64 #s(literal 4 binary64) y (/.f64 (.f64 (neg.f64 x) x) z))) z))

eval4.0ms (0.3%)

Memory: 7.9MiB live, 7.9MiB allocated; 0ms collecting garbage
Compiler: Compiled 714 to 135 computations (81.1% saved)

prune2.0ms (0.2%)

Memory

4.2MiB live, 4.2MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	42	0	42
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	42	3	45

Accuracy

100.0%

Counts

45 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.8%	(fma.f64 x x (.f64 (.f64 z y) #s(literal -4 binary64)))
✓	55.8%	#s(approx (- (* x x) (* (* y 4) z)) (.f64 (.f64 #s(literal -4 binary64) z) y))
✓	50.1%	#s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x))

Compiler

Compiled 36 to 29 computations (19.4% saved)

regimes85.0ms (5.9%)

Memory

-6.0MiB live, 87.8MiB allocated; 17ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

3 → 2

6 → 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))

Call 2

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))

Call 3

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) y) z (.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

21 calls:

30.0ms	(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))
24.0ms	y
2.0ms	z
2.0ms	(*.f64 y #s(literal 4 binary64))
2.0ms	x

Results

Accuracy	Segments	Branch
50.1%	1	`z`
50.1%	1	`(*.f64 y #s(literal 4 binary64))`
50.1%	1	`y`
50.1%	1	`(.f64 (.f64 y #s(literal 4 binary64)) z)`
50.1%	1	`(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))`
50.1%	1	`(*.f64 x x)`
50.1%	1	`x`
76.3%	2	`(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))`
75.5%	3	`(.f64 (.f64 y #s(literal 4 binary64)) z)`
72.4%	3	`(*.f64 y #s(literal 4 binary64))`
83.9%	2	`(*.f64 x x)`
69.6%	3	`z`
72.4%	3	`y`
83.9%	2	`x`
98.8%	1	`(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))`
98.8%	1	`(.f64 (.f64 y #s(literal 4 binary64)) z)`
98.8%	1	`(*.f64 y #s(literal 4 binary64))`
98.8%	1	`(*.f64 x x)`
98.8%	1	`z`
98.8%	1	`y`
98.8%	1	`x`

Compiler

Compiled 137 to 120 computations (12.4% saved)

bsearch5.0ms (0.4%)

Memory

11.6MiB live, 11.6MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
5.0ms	1.2172618168726852e+37	1.8386937016447115e+37

Samples

2.0ms

64×

valid

Compiler

Compiled 124 to 110 computations (11.3% saved)

Precisions

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

ival-mult!: 1.0ms (106.5% of total)

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

adjust: 0.0ms (0% of total)

derivations34.0ms (2.3%)

Memory

-0.6MiB live, 43.6MiB allocated; 7ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 53 to 20 computations (62.3% saved)

preprocess51.0ms (3.5%)

Memory

-18.5MiB live, 68.9MiB allocated; 15ms collecting garbage

Remove

(sort y z)

(abs x)

Compiler

Compiled 338 to 198 computations (41.4% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample749.0ms (52.1%)

preprocess52.0ms (3.6%)

series9.0ms (0.6%)

rewrite87.0ms (6.1%)

eval14.0ms (1%)

prune41.0ms (2.9%)

series7.0ms (0.5%)

rewrite106.0ms (7.4%)

eval30.0ms (2.1%)

prune10.0ms (0.7%)

series5.0ms (0.4%)

rewrite64.0ms (4.5%)

eval2.0ms (0.1%)

prune10.0ms (0.7%)

series6.0ms (0.4%)

rewrite63.0ms (4.4%)

eval4.0ms (0.3%)

prune2.0ms (0.2%)

regimes85.0ms (5.9%)

bsearch5.0ms (0.4%)

derivations34.0ms (2.3%)

preprocess51.0ms (3.5%)

end0.0ms (0%)

Profiling