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

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.7MiB live, 0.7MiB 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)

sample782.0ms (63%)

Memory

5.8MiB live, 1 051.7MiB allocated; 159ms collecting garbage

Samples

496.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 257.0ms

ival-mult!: 238.0ms (92.6% of total)

ival-sub!: 18.0ms (7% of total)

adjust: 1.0ms (0.4% of total)

Bogosity

preprocess15.0ms (1.2%)

Memory

-25.6MiB live, 16.9MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	94
1	113	90
2	307	90
3	600	90
4	737	90

Stop Event

1×

saturated

Alt Table

Click to see full alt table

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

Symmetry

(abs x)

(sort y z)

Compiler

Compiled 16 to 16 computations (0% saved)

series9.0ms (0.7%)

Memory

22.7MiB live, 22.7MiB allocated; 0ms collecting garbage

Counts

8 → 15

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)))
#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)

rewrite83.0ms (6.7%)

Memory

3.4MiB live, 114.3MiB allocated; 15ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	241
0	63	233
1	265	233
0	2032	216

Stop Event

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

Counts

23 → 115

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

eval42.0ms (3.4%)

Memory: -29.1MiB live, 18.2MiB allocated; 2ms collecting garbage
Compiler: Compiled 717 to 256 computations (64.3% saved)

prune3.0ms (0.3%)

Memory

6.5MiB live, 6.5MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	104	3	107
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	105	3	108

Accuracy

100.0%

Counts

108 → 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))
▶	54.0%	#s(approx (- (* x x) (* (* y 4) z)) (.f64 (.f64 z y) #s(literal -4 binary64)))
▶	53.4%	#s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x))

Compiler

Compiled 29 to 29 computations (0% saved)

series8.0ms (0.7%)

Memory

14.7MiB live, 14.7MiB allocated; 0ms collecting garbage

Counts

11 → 24

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)) (.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 (.f64 #s(literal -4 binary64) z) y (.f64 x x))
(*.f64 #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 (+ (* (* -4 z) y) (* x x)) #s(hole binary64 (* -4 (* y z))))
#s(approx (+ (* (* -4 z) y) (* x x)) #s(hole binary64 (+ (* -4 (* y z)) (pow x 2))))
#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 (+ (* (* -4 z) y) (* x x)) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (* -4 z) y) (* x x)) #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 (* (* z y) -4) #s(hole binary64 (* -4 (* y z))))
#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 (+ (* (* -4 z) y) (* x x)) #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 (+ (* (* -4 z) y) (* x x)) #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 (+ (* (* -4 z) y) (* x x)) #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 (+ (* (* -4 z) y) (* x x)) #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)) (* x x) x (- (* x x) (* (* y 4) z)) (* (* z y) -4) (* z y) z y -4 (+ (* (* -4 z) y) (* x x)) (* -4 z))
1.0ms	y	@	-inf	((- (* x x) (* (* y 4) z)) (* x x) x (- (* x x) (* (* y 4) z)) (* (* z y) -4) (* z y) z y -4 (+ (* (* -4 z) y) (* x x)) (* -4 z))
1.0ms	z	@	inf	((- (* x x) (* (* y 4) z)) (* x x) x (- (* x x) (* (* y 4) z)) (* (* z y) -4) (* z y) z y -4 (+ (* (* -4 z) y) (* x x)) (* -4 z))
1.0ms	z	@	0	((- (* x x) (* (* y 4) z)) (* x x) x (- (* x x) (* (* y 4) z)) (* (* z y) -4) (* z y) z y -4 (+ (* (* -4 z) y) (* x x)) (* -4 z))
1.0ms	x	@	inf	((- (* x x) (* (* y 4) z)) (* x x) x (- (* x x) (* (* y 4) z)) (* (* z y) -4) (* z y) z y -4 (+ (* (* -4 z) y) (* x x)) (* -4 z))

rewrite93.0ms (7.5%)

Memory

-19.8MiB live, 115.6MiB allocated; 19ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	85	434
0	89	404
1	378	404
0	2776	394

Stop Event

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

Counts

35 → 149

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

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

eval14.0ms (1.1%)

Memory: 39.1MiB live, 39.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 012 to 340 computations (66.4% saved)

prune7.0ms (0.5%)

Memory

-29.9MiB live, 13.3MiB allocated; 5ms collecting garbage

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	165	1	166
Fresh	0	0	0
Picked	1	2	3
Done	0	0	0
Total	166	3	169

Accuracy

100.0%

Counts

169 → 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))
▶	54.0%	#s(approx (- (* x x) (* (* y 4) z)) (.f64 (.f64 #s(literal -4 binary64) z) y))
✓	53.4%	#s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x))

Compiler

Compiled 29 to 29 computations (0% saved)

series5.0ms (0.4%)

Memory

15.3MiB live, 15.3MiB allocated; 0ms collecting garbage

Counts

6 → 13

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 (* (* -4 z) y) #s(hole binary64 (* -4 (* 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) (* (* 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)

rewrite72.0ms (5.8%)

Memory

1.2MiB live, 107.5MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	233
0	60	225
1	260	225
0	2056	208

Stop Event

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

Counts

19 → 34

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 (* (* -4 z) y) #s(hole binary64 (* -4 (* 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) (* (* 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 (neg.f64 z) y) #s(literal 4 binary64))
(.f64 (neg.f64 z) (.f64 #s(literal 4 binary64) y))
(.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 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 (* (* -4 z) y) (.f64 (.f64 z y) #s(literal -4 binary64)))
#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 (0.2%)

Memory: 7.0MiB live, 7.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 129 to 85 computations (34.1% saved)

prune5.0ms (0.4%)

Memory

-39.2MiB live, 6.9MiB allocated; 4ms collecting garbage

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	24	0	24
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	24	3	27

Accuracy

100.0%

Counts

27 → 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))
✓	54.0%	#s(approx (- (* x x) (* (* y 4) z)) (.f64 (.f64 #s(literal -4 binary64) z) y))
✓	53.4%	#s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x))

Compiler

Compiled 58 to 51 computations (12.1% saved)

regimes15.0ms (1.2%)

Memory

-2.7MiB live, 44.8MiB allocated; 1ms collecting garbage

Counts

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

Calls

7 calls:

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

regimes11.0ms (0.9%)

Memory

33.3MiB live, 33.3MiB allocated; 0ms 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	(*.f64 y #s(literal 4 binary64))
2.0ms	z
2.0ms	(.f64 (.f64 y #s(literal 4 binary64)) z)
1.0ms	(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))
1.0ms	x

Results

Accuracy	Segments	Branch
72.1%	3	`(*.f64 y #s(literal 4 binary64))`
72.9%	3	`(.f64 (.f64 y #s(literal 4 binary64)) z)`
85.7%	2	`(*.f64 x x)`
76.2%	2	`(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))`
85.7%	2	`x`
72.1%	3	`y`
68.0%	3	`z`

Compiler

Compiled 21 to 32 computations (-52.4% saved)

regimes8.0ms (0.6%)

Memory

-22.1MiB live, 25.5MiB allocated; 1ms 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:

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

Results

Accuracy	Segments	Branch
53.4%	1	`z`
53.4%	1	`(*.f64 y #s(literal 4 binary64))`
53.4%	1	`y`
53.4%	1	`(.f64 (.f64 y #s(literal 4 binary64)) z)`
53.4%	1	`(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))`
53.4%	1	`(*.f64 x x)`
53.4%	1	`x`

Compiler

Compiled 21 to 32 computations (-52.4% saved)

bsearch6.0ms (0.4%)

Memory

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

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
5.0ms	1.37426424177081e-6	2.3730506814633634e-6

Samples

3.0ms

64×

valid

Compiler

Compiled 100 to 110 computations (-10% saved)

Precisions

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

ival-mult!: 1.0ms (93.9% of total)

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

adjust: 0.0ms (0% of total)

derivations34.0ms (2.8%)

Memory

-0.8MiB live, 50.1MiB allocated; 3ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 24 to 18 computations (25% saved)

preprocess25.0ms (2%)

Memory

5.6MiB live, 52.7MiB allocated; 2ms collecting garbage

Remove

(sort y z)

(abs x)

Compiler

Compiled 226 to 196 computations (13.3% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample782.0ms (63%)

preprocess15.0ms (1.2%)

series9.0ms (0.7%)

rewrite83.0ms (6.7%)

eval42.0ms (3.4%)

prune3.0ms (0.3%)

series8.0ms (0.7%)

rewrite93.0ms (7.5%)

eval14.0ms (1.1%)

prune7.0ms (0.5%)

series5.0ms (0.4%)

rewrite72.0ms (5.8%)

eval2.0ms (0.2%)

prune5.0ms (0.4%)

regimes15.0ms (1.2%)

regimes11.0ms (0.9%)

regimes8.0ms (0.6%)

bsearch6.0ms (0.4%)

derivations34.0ms (2.8%)

preprocess25.0ms (2%)

end0.0ms (0%)

Profiling