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

0.5MiB live, 0.5MiB 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)

sample833.0ms (43.7%)

Memory

18.6MiB live, 920.0MiB allocated; 195ms collecting garbage

Samples

533.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 324.0ms

ival-mult: 275.0ms (85% of total)

ival-sub: 37.0ms (11.4% of total)

exact: 6.0ms (1.9% of total)

ival-assert: 3.0ms (0.9% of total)

adjust: 2.0ms (0.6% of total)

Bogosity

explain94.0ms (4.9%)

Memory

27.2MiB live, 118.8MiB allocated; 8ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
6	-	-	`(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))`
0	-	-	`y`
0	-	-	`(*.f64 y #s(literal 4 binary64))`
0	-	-	`#s(literal 4 binary64)`
0	-	-	`z`
0	-	-	`(*.f64 x x)`
0	-	-	`(.f64 (.f64 y #s(literal 4 binary64)) z)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))`	nan-rescue	6	0
↳	`(*.f64 x x)`	overflow	63
↳	`(.f64 (.f64 y #s(literal 4 binary64)) z)`	overflow	42

Confusion

	Predicted +	Predicted -
+	6	0
-	0	250

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	6	0	0
-	0	0	250

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	250
1	6

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

44.0ms

512×

valid

Compiler

Compiled 61 to 28 computations (54.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-mult: 25.0ms (86.7% of total)

ival-sub: 2.0ms (6.9% of total)

ival-true: 0.0ms (0% of total)

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

preprocess27.0ms (1.4%)

Memory

-20.3MiB live, 34.3MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	97
1	88	93
2	227	93
3	498	90
4	632	90
0	8	9
0	12	9
1	23	9
2	61	9
3	143	9
4	227	9
5	253	9
0	253	8

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

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

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

Symmetry

(abs x)

(sort y z)

Compiler

Compiled 9 to 8 computations (11.1% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

series9.0ms (0.5%)

Memory

19.8MiB live, 19.8MiB 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)

rewrite105.0ms (5.5%)

Memory

1.1MiB live, 93.8MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	241
0	64	237
1	243	237
0	1831	220

Stop Event

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

Counts

23 → 174

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 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 z y) #s(literal -4 binary64)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (.f64 z #s(literal 4 binary64)) y (.f64 x x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 z y) #s(literal -4 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (fma.f64 (.f64 #s(literal -4 binary64) y) z (.f64 (neg.f64 x) x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (pow.f64 (.f64 z y) #s(literal 3 binary64)) #s(literal 64 binary64)))) (neg.f64 (fma.f64 (.f64 (.f64 z #s(literal 4 binary64)) y) (fma.f64 (.f64 z #s(literal 4 binary64)) y (.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 z #s(literal 4 binary64)) y (.f64 x x)) (pow.f64 (.f64 (.f64 z y) #s(literal -4 binary64)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 z y) #s(literal -4 binary64)) #s(literal 2 binary64))) (fma.f64 (.f64 z #s(literal 4 binary64)) y (.f64 x x)))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 z y) #s(literal -4 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (.f64 #s(literal -4 binary64) y) z (.f64 (neg.f64 x) x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (pow.f64 (.f64 z y) #s(literal 3 binary64)) #s(literal 64 binary64))) (fma.f64 (.f64 (.f64 z #s(literal 4 binary64)) y) (fma.f64 (.f64 z #s(literal 4 binary64)) y (.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 (.f64 (.f64 z y) #s(literal -4 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (*.f64 z y) #s(literal -4 binary64)) x) x))))
(/.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (.f64 x x) (fma.f64 (.f64 z #s(literal 4 binary64)) y (.f64 x x)) (pow.f64 (.f64 (.f64 z y) #s(literal -4 binary64)) #s(literal 2 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) (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) 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 (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 (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 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 (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 (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 (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 (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 (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 (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 (.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 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 z #s(literal 4 binary64)) y (.f64 x x))) (/.f64 (pow.f64 (.f64 (.f64 z y) #s(literal -4 binary64)) #s(literal 2 binary64)) (fma.f64 (.f64 z #s(literal 4 binary64)) y (.f64 x x))))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 z y) #s(literal -4 binary64)) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal -4 binary64) y) z (.f64 (neg.f64 x) x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 #s(literal -4 binary64) y) z (.f64 (neg.f64 x) x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 (.f64 z #s(literal 4 binary64)) y) (fma.f64 (.f64 z #s(literal 4 binary64)) y (.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (.f64 (pow.f64 (.f64 z y) #s(literal 3 binary64)) #s(literal 64 binary64)) (fma.f64 (.f64 (.f64 z #s(literal 4 binary64)) y) (fma.f64 (.f64 z #s(literal 4 binary64)) y (.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(-.f64 (.f64 x x) (.f64 (*.f64 (neg.f64 z) y) #s(literal -4 binary64)))
(-.f64 (.f64 x x) (.f64 (*.f64 z #s(literal 4 binary64)) y))
(-.f64 (.f64 (.f64 z y) #s(literal -4 binary64)) (*.f64 (neg.f64 x) x))
(+.f64 (/.f64 (pow.f64 (.f64 (.f64 z y) #s(literal -4 binary64)) #s(literal 3 binary64)) (fma.f64 (.f64 x x) (fma.f64 (.f64 z #s(literal 4 binary64)) y (.f64 x x)) (pow.f64 (.f64 (.f64 z y) #s(literal -4 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 x x) (fma.f64 (.f64 z #s(literal 4 binary64)) y (.f64 x x)) (pow.f64 (.f64 (.f64 z y) #s(literal -4 binary64)) #s(literal 2 binary64)))))
(+.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) (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
(.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 x x))
#s(approx (- (* x x) (* (* y 4) z)) (.f64 (fma.f64 (/.f64 (.f64 #s(literal -4 binary64) y) x) (/.f64 z x) #s(literal 1 binary64)) (*.f64 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 y) (fma.f64 z #s(literal 4 binary64) (/.f64 (.f64 (neg.f64 x) x) 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 z) (fma.f64 #s(literal 4 binary64) y (/.f64 (.f64 (neg.f64 x) x) z))))

eval42.0ms (2.2%)

Memory: -8.1MiB live, 38.0MiB allocated; 3ms collecting garbage
Compiler: Compiled 2 354 to 325 computations (86.2% saved)

prune265.0ms (13.9%)

Memory

-8.6MiB live, 324.6MiB allocated; 36ms collecting garbage

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	173	2	175
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	174	2	176

Accuracy

100.0%

Counts

176 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.0%	(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)))
▶	99.6%	(fma.f64 (.f64 #s(literal -4 binary64) z) y (.f64 x x))

Status

Accuracy

Program

98.0%

(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)))

▶

99.6%

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

Compiler

Compiled 23 to 18 computations (21.7% saved)

series5.0ms (0.3%)

Memory

12.2MiB live, 12.2MiB allocated; 0ms collecting garbage

Counts

7 → 13

Calls

Call 1

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

Outputs
#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) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#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 y #s(hole binary64 y))
#s(approx (+ (* (* -4 z) y) (* x x)) #s(hole binary64 (* y (+ (* -4 z) (/ (pow x 2) y)))))
#s(approx (+ (* (* -4 z) y) (* x x)) #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 (+ (* (* -4 z) y) (* x x)) #s(hole binary64 (* z (+ (* -4 y) (/ (pow x 2) z)))))
#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	((+ (* (* -4 z) y) (* x x)) (* -4 z) -4 z y (* x x) x)
1.0ms	x	@	inf	((+ (* (* -4 z) y) (* x x)) (* -4 z) -4 z y (* x x) x)
1.0ms	z	@	inf	((+ (* (* -4 z) y) (* x x)) (* -4 z) -4 z y (* x x) x)
1.0ms	x	@	-inf	((+ (* (* -4 z) y) (* x x)) (* -4 z) -4 z y (* x x) x)
1.0ms	y	@	-inf	((+ (* (* -4 z) y) (* x x)) (* -4 z) -4 z y (* x x) x)

rewrite97.0ms (5.1%)

Memory

-20.9MiB live, 79.5MiB allocated; 35ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	197
0	54	192
1	244	192
0	1934	187

Stop Event

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

Counts

20 → 103

Calls

Call 1

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

Outputs
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 z #s(literal -4 binary64)) y) #s(literal 2 binary64))) (-.f64 (.f64 x x) (.f64 (*.f64 z #s(literal -4 binary64)) y)))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 z #s(literal -4 binary64)) y) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 x) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (.f64 z #s(literal -4 binary64)) y) #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 (.f64 z #s(literal -4 binary64)) y) (*.f64 (neg.f64 x) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 z #s(literal -4 binary64)) y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (fma.f64 (.f64 y #s(literal -4 binary64)) z (.f64 (neg.f64 x) x))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 y z) #s(literal 3 binary64)) #s(literal -64 binary64) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (fma.f64 (.f64 x x) (-.f64 (.f64 x x) (.f64 (.f64 z #s(literal -4 binary64)) y)) (pow.f64 (.f64 (*.f64 z #s(literal -4 binary64)) y) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 z #s(literal -4 binary64)) y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (.f64 y #s(literal -4 binary64)) z (.f64 (neg.f64 x) x)))
(/.f64 (fma.f64 (pow.f64 (.f64 y z) #s(literal 3 binary64)) #s(literal -64 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 (.f64 (.f64 z #s(literal -4 binary64)) y) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (*.f64 z #s(literal -4 binary64)) y) x) x))))
(/.f64 (fma.f64 (pow.f64 (.f64 y z) #s(literal 3 binary64)) #s(literal -64 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (.f64 x x) (-.f64 (.f64 x x) (.f64 (.f64 z #s(literal -4 binary64)) y)) (pow.f64 (.f64 (*.f64 z #s(literal -4 binary64)) y) #s(literal 2 binary64))))
(fma.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (.f64 #s(literal 1 binary64) (neg.f64 x)) (.f64 (.f64 z #s(literal -4 binary64)) y))
(fma.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x) (.f64 (*.f64 z #s(literal -4 binary64)) y))
(fma.f64 (.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 (.f64 z #s(literal -4 binary64)) y))
(fma.f64 (.f64 #s(literal 1 binary64) (fabs.f64 x)) (fabs.f64 x) (.f64 (*.f64 z #s(literal -4 binary64)) y))
(fma.f64 (.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1 binary64) x) (.f64 (.f64 z #s(literal -4 binary64)) y))
(fma.f64 (.f64 #s(literal 1 binary64) x) x (.f64 (*.f64 z #s(literal -4 binary64)) y))
(fma.f64 (.f64 (neg.f64 x) #s(literal 1 binary64)) (.f64 (neg.f64 x) #s(literal 1 binary64)) (.f64 (.f64 z #s(literal -4 binary64)) y))
(fma.f64 (.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 (.f64 z #s(literal -4 binary64)) y))
(fma.f64 (.f64 x #s(literal 1 binary64)) (.f64 x #s(literal 1 binary64)) (.f64 (.f64 z #s(literal -4 binary64)) y))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (.f64 (.f64 z #s(literal -4 binary64)) y))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (.f64 (.f64 z #s(literal -4 binary64)) y))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (.f64 (.f64 z #s(literal -4 binary64)) y))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (.f64 (.f64 z #s(literal -4 binary64)) y))
(fma.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 1 binary64)) (.f64 (*.f64 z #s(literal -4 binary64)) y))
(fma.f64 (neg.f64 x) (neg.f64 x) (.f64 (.f64 z #s(literal -4 binary64)) y))
(fma.f64 (fabs.f64 x) (.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 (*.f64 z #s(literal -4 binary64)) y))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (.f64 (.f64 z #s(literal -4 binary64)) y))
(fma.f64 (.f64 y #s(literal -4 binary64)) z (.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 (.f64 y #s(literal -4 binary64)) z (.f64 x x))
(fma.f64 #s(literal 1 binary64) (.f64 x x) (.f64 (*.f64 z #s(literal -4 binary64)) y))
(fma.f64 (.f64 x x) #s(literal 1 binary64) (.f64 (*.f64 z #s(literal -4 binary64)) y))
(fma.f64 (.f64 y z) #s(literal -4 binary64) (.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 (.f64 y z) #s(literal -4 binary64) (.f64 x x))
(fma.f64 (.f64 z #s(literal -4 binary64)) y (.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 (.f64 z #s(literal -4 binary64)) y (.f64 x x))
(fma.f64 x (.f64 x #s(literal 1 binary64)) (.f64 (*.f64 z #s(literal -4 binary64)) y))
(fma.f64 x x (.f64 (.f64 z #s(literal -4 binary64)) y))
(fma.f64 y (.f64 z #s(literal -4 binary64)) (.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 y (.f64 z #s(literal -4 binary64)) (.f64 x x))
(fma.f64 z (.f64 y #s(literal -4 binary64)) (.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 z (.f64 y #s(literal -4 binary64)) (.f64 x x))
(fma.f64 #s(literal -4 binary64) (.f64 y z) (.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 #s(literal -4 binary64) (.f64 y z) (.f64 x x))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 z #s(literal -4 binary64)) y) #s(literal 2 binary64)) (fma.f64 (.f64 y #s(literal -4 binary64)) z (.f64 (neg.f64 x) x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 y #s(literal -4 binary64)) z (.f64 (neg.f64 x) x))))
(-.f64 (.f64 x x) (.f64 (*.f64 (neg.f64 y) z) #s(literal -4 binary64)))
(-.f64 (.f64 x x) (.f64 (neg.f64 y) (*.f64 z #s(literal -4 binary64))))
(-.f64 (.f64 x x) (.f64 (*.f64 #s(literal 4 binary64) y) z))
(-.f64 (.f64 (.f64 z #s(literal -4 binary64)) y) (*.f64 (neg.f64 x) x))
(+.f64 (/.f64 (pow.f64 (.f64 (.f64 z #s(literal -4 binary64)) y) #s(literal 3 binary64)) (fma.f64 (.f64 x x) (-.f64 (.f64 x x) (.f64 (.f64 z #s(literal -4 binary64)) y)) (pow.f64 (.f64 (.f64 z #s(literal -4 binary64)) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 x x) (-.f64 (.f64 x x) (.f64 (.f64 z #s(literal -4 binary64)) y)) (pow.f64 (.f64 (.f64 z #s(literal -4 binary64)) y) #s(literal 2 binary64)))))
(+.f64 (.f64 x x) (.f64 (*.f64 z #s(literal -4 binary64)) y))
(+.f64 (.f64 (.f64 z #s(literal -4 binary64)) y) (*.f64 (neg.f64 (neg.f64 x)) x))
(+.f64 (.f64 (.f64 z #s(literal -4 binary64)) y) (*.f64 x x))
(*.f64 z #s(literal -4 binary64))
(*.f64 #s(literal -4 binary64) z)
(neg.f64 (*.f64 #s(literal 4 binary64) z))
#s(literal -4 binary64)
z
y
(.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 z #s(literal -4 binary64)) y))
#s(approx (+ (* (* -4 z) y) (* x x)) (fma.f64 x x (.f64 (.f64 z #s(literal -4 binary64)) y)))
#s(approx (* x x) (*.f64 x x))
#s(approx x x)
#s(approx (+ (* (* -4 z) y) (* x x)) (*.f64 x x))
#s(approx (+ (* (* -4 z) y) (* x x)) (.f64 (fma.f64 (/.f64 (.f64 y #s(literal -4 binary64)) x) (/.f64 z x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx y y)
#s(approx (+ (* (* -4 z) y) (* x x)) (.f64 (fma.f64 z #s(literal -4 binary64) (/.f64 (.f64 x x) y)) y))
#s(approx (+ (* (* -4 z) y) (* x x)) (.f64 (neg.f64 y) (fma.f64 #s(literal 4 binary64) z (/.f64 (.f64 (neg.f64 x) x) y))))
#s(approx (* -4 z) (*.f64 z #s(literal -4 binary64)))
#s(approx z z)
#s(approx (+ (* (* -4 z) y) (* x x)) (.f64 (fma.f64 y #s(literal -4 binary64) (/.f64 (.f64 x x) z)) z))
#s(approx (+ (* (* -4 z) y) (* x x)) (.f64 (neg.f64 z) (fma.f64 #s(literal 4 binary64) y (/.f64 (.f64 (neg.f64 x) x) z))))

eval19.0ms (1%)

Memory: -8.2MiB live, 33.5MiB allocated; 11ms collecting garbage
Compiler: Compiled 1 367 to 236 computations (82.7% saved)

prune97.0ms (5.1%)

Memory

37.9MiB live, 129.9MiB allocated; 10ms collecting garbage

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	105	0	105
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	105	2	107

Accuracy

100.0%

Counts

107 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.0%	(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)))
✓	99.6%	(fma.f64 (.f64 #s(literal -4 binary64) z) y (.f64 x x))

Status

Accuracy

Program

▶

98.0%

(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)))

✓

99.6%

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

Compiler

Compiled 23 to 18 computations (21.7% saved)

series7.0ms (0.4%)

Memory

10.2MiB live, 10.2MiB allocated; 0ms collecting garbage

Counts

11 → 16

Calls

Call 1

Inputs
(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)))
(*.f64 (neg.f64 x) #s(literal 1 binary64))
(neg.f64 x)
x
#s(literal 1 binary64)
(.f64 (.f64 (neg.f64 z) y) #s(literal 4 binary64))
(*.f64 (neg.f64 z) y)
(neg.f64 z)
z
y
#s(literal 4 binary64)

Outputs
#s(approx (+ (* (* (neg x) 1) (* (neg x) 1)) (* (* (neg z) y) 4)) #s(hole binary64 (* -4 (* y z))))
#s(approx (+ (* (* (neg x) 1) (* (neg x) 1)) (* (* (neg z) y) 4)) #s(hole binary64 (+ (* -4 (* y z)) (pow x 2))))
#s(approx (* (neg x) 1) #s(hole binary64 (* -1 x)))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (* (neg x) 1) (* (neg x) 1)) (* (* (neg z) y) 4)) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (* (neg x) 1) (* (neg x) 1)) (* (* (neg z) y) 4)) #s(hole binary64 (* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2)))))))
#s(approx (* (* (neg z) y) 4) #s(hole binary64 (* -4 (* y z))))
#s(approx (* (neg z) y) #s(hole binary64 (* -1 (* y z))))
#s(approx y #s(hole binary64 y))
#s(approx (+ (* (* (neg x) 1) (* (neg x) 1)) (* (* (neg z) y) 4)) #s(hole binary64 (* y (+ (* -4 z) (/ (pow x 2) y)))))
#s(approx (+ (* (* (neg x) 1) (* (neg x) 1)) (* (* (neg z) y) 4)) #s(hole binary64 (* -1 (* y (+ (* -1 (/ (pow x 2) y)) (* 4 z))))))
#s(approx (neg z) #s(hole binary64 (* -1 z)))
#s(approx z #s(hole binary64 z))
#s(approx (+ (* (* (neg x) 1) (* (neg x) 1)) (* (* (neg z) y) 4)) #s(hole binary64 (* z (+ (* -4 y) (/ (pow x 2) z)))))
#s(approx (+ (* (* (neg x) 1) (* (neg x) 1)) (* (* (neg 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	((+ (* (* (neg x) 1) (* (neg x) 1)) (* (* (neg z) y) 4)) (* (neg x) 1) (neg x) x 1 (* (* (neg z) y) 4) (* (neg z) y) (neg z) z y 4)
1.0ms	z	@	inf	((+ (* (* (neg x) 1) (* (neg x) 1)) (* (* (neg z) y) 4)) (* (neg x) 1) (neg x) x 1 (* (* (neg z) y) 4) (* (neg z) y) (neg z) z y 4)
1.0ms	z	@	-inf	((+ (* (* (neg x) 1) (* (neg x) 1)) (* (* (neg z) y) 4)) (* (neg x) 1) (neg x) x 1 (* (* (neg z) y) 4) (* (neg z) y) (neg z) z y 4)
1.0ms	x	@	inf	((+ (* (* (neg x) 1) (* (neg x) 1)) (* (* (neg z) y) 4)) (* (neg x) 1) (neg x) x 1 (* (* (neg z) y) 4) (* (neg z) y) (neg z) z y 4)
1.0ms	x	@	-inf	((+ (* (* (neg x) 1) (* (neg x) 1)) (* (* (neg z) y) 4)) (* (neg x) 1) (neg x) x 1 (* (* (neg z) y) 4) (* (neg z) y) (neg z) z y 4)

rewrite87.0ms (4.6%)

Memory

-6.2MiB live, 90.6MiB allocated; 22ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	301
0	75	253
1	282	233
0	2188	218

Stop Event

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

Counts

27 → 118

Calls

Call 1

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

Outputs
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 #s(literal -4 binary64) y) z) #s(literal 2 binary64))) (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) y) z)))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 #s(literal 4 binary64) y) z) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (pow.f64 (.f64 (.f64 #s(literal -4 binary64) y) z) #s(literal 2 binary64)) (.f64 (.f64 x x) (.f64 (.f64 #s(literal 4 binary64) y) z)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(literal -4 binary64) y) z) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (fma.f64 (.f64 #s(literal -4 binary64) y) z (.f64 (neg.f64 x) x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 #s(literal -4 binary64) y) z) #s(literal 2 binary64)))) (neg.f64 (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) y) z))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 y z) #s(literal 3 binary64)) #s(literal -64 binary64) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (fma.f64 (.f64 x x) (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) y) z)) (pow.f64 (.f64 (.f64 #s(literal -4 binary64) y) z) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 y z) #s(literal 3 binary64)) #s(literal -64 binary64) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (fma.f64 (.f64 (.f64 #s(literal -4 binary64) y) z) (fma.f64 (.f64 #s(literal -4 binary64) y) z (*.f64 (neg.f64 x) x)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(literal -4 binary64) y) z) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (.f64 #s(literal -4 binary64) y) z (.f64 (neg.f64 x) x)))
(/.f64 (fma.f64 (pow.f64 (.f64 y z) #s(literal 3 binary64)) #s(literal -64 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (.f64 x x) (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) y) z)) (pow.f64 (.f64 (.f64 #s(literal -4 binary64) y) z) #s(literal 2 binary64))))
(/.f64 (fma.f64 (pow.f64 (.f64 y z) #s(literal 3 binary64)) #s(literal -64 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (.f64 (.f64 #s(literal -4 binary64) y) z) (fma.f64 (.f64 #s(literal -4 binary64) y) z (*.f64 (neg.f64 x) x)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (.f64 #s(literal 4 binary64) (neg.f64 y)) z (.f64 x x))
(fma.f64 (.f64 #s(literal 4 binary64) (neg.f64 z)) y (.f64 x x))
(fma.f64 (.f64 (neg.f64 z) #s(literal 4 binary64)) y (.f64 x x))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (.f64 (.f64 #s(literal -4 binary64) y) z))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (.f64 (.f64 #s(literal -4 binary64) y) z))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (.f64 (.f64 #s(literal -4 binary64) y) z))
(fma.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (.f64 (.f64 #s(literal -4 binary64) y) z))
(fma.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 x) (.f64 (.f64 #s(literal -4 binary64) y) z))
(fma.f64 (.f64 (.f64 #s(literal 4 binary64) y) z) #s(literal -1 binary64) (*.f64 x x))
(fma.f64 (neg.f64 y) (.f64 #s(literal 4 binary64) z) (.f64 x x))
(fma.f64 (.f64 (neg.f64 x) x) #s(literal -1 binary64) (.f64 (*.f64 #s(literal -4 binary64) y) z))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (.f64 (.f64 #s(literal -4 binary64) y) z))
(fma.f64 (.f64 #s(literal 4 binary64) y) (neg.f64 z) (.f64 x x))
(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 (.f64 #s(literal 4 binary64) y) z) (*.f64 x x))
(fma.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) x) (.f64 (*.f64 #s(literal -4 binary64) y) z))
(fma.f64 (.f64 x x) #s(literal 1 binary64) (.f64 (*.f64 #s(literal -4 binary64) y) z))
(fma.f64 (.f64 y z) #s(literal -4 binary64) (.f64 x x))
(fma.f64 #s(literal -4 binary64) (.f64 y z) (.f64 x x))
(fma.f64 (.f64 (neg.f64 z) y) #s(literal 4 binary64) (.f64 x x))
(fma.f64 (neg.f64 z) (.f64 #s(literal 4 binary64) y) (.f64 x x))
(fma.f64 #s(literal 4 binary64) (.f64 (neg.f64 z) y) (.f64 x x))
(fma.f64 y (.f64 (neg.f64 z) #s(literal 4 binary64)) (.f64 x x))
(fma.f64 y (.f64 #s(literal -4 binary64) z) (.f64 x x))
(fma.f64 z (.f64 #s(literal -1 binary64) (.f64 #s(literal 4 binary64) y)) (*.f64 x x))
(fma.f64 z (.f64 #s(literal -4 binary64) y) (.f64 x x))
(fma.f64 (neg.f64 x) (neg.f64 x) (.f64 (.f64 #s(literal -4 binary64) y) z))
(fma.f64 #s(literal 1 binary64) (.f64 x x) (.f64 (*.f64 #s(literal -4 binary64) y) z))
(fma.f64 x x (.f64 (.f64 #s(literal -4 binary64) y) z))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal -4 binary64) y) z) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal -4 binary64) y) z (.f64 (neg.f64 x) x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 #s(literal -4 binary64) y) z (.f64 (neg.f64 x) x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) y) z))) (/.f64 (pow.f64 (.f64 (.f64 #s(literal -4 binary64) y) z) #s(literal 2 binary64)) (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) y) z))))
(-.f64 (.f64 x x) (.f64 (*.f64 (neg.f64 z) y) #s(literal -4 binary64)))
(-.f64 (.f64 x x) (.f64 (neg.f64 (neg.f64 z)) (*.f64 #s(literal 4 binary64) y)))
(-.f64 (.f64 x x) (.f64 #s(literal -4 binary64) (*.f64 (neg.f64 z) y)))
(-.f64 (.f64 x x) (.f64 (*.f64 #s(literal 4 binary64) y) z))
(-.f64 (.f64 (.f64 #s(literal -4 binary64) y) z) (*.f64 (neg.f64 (fabs.f64 x)) (fabs.f64 x)))
(-.f64 (.f64 (.f64 #s(literal -4 binary64) y) z) (.f64 (.f64 (neg.f64 x) x) #s(literal 1 binary64)))
(-.f64 (.f64 (.f64 #s(literal -4 binary64) y) z) (*.f64 (neg.f64 x) x))
(+.f64 (/.f64 (.f64 (pow.f64 (.f64 y z) #s(literal 3 binary64)) #s(literal -64 binary64)) (fma.f64 (.f64 x x) (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) y) z)) (pow.f64 (.f64 (.f64 #s(literal -4 binary64) y) z) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 x x) (fma.f64 x x (.f64 (.f64 #s(literal 4 binary64) y) z)) (pow.f64 (.f64 (.f64 #s(literal -4 binary64) y) z) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 (.f64 #s(literal -4 binary64) y) z) (fma.f64 (.f64 #s(literal -4 binary64) y) z (.f64 (neg.f64 x) x)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (.f64 (pow.f64 (.f64 y z) #s(literal 3 binary64)) #s(literal -64 binary64)) (fma.f64 (.f64 (.f64 #s(literal -4 binary64) y) z) (fma.f64 (.f64 #s(literal -4 binary64) y) z (.f64 (neg.f64 x) x)) (pow.f64 x #s(literal 4 binary64)))))
(+.f64 (.f64 x x) (.f64 (*.f64 #s(literal -4 binary64) y) z))
(+.f64 (.f64 (.f64 #s(literal -4 binary64) y) z) (*.f64 x x))
(*.f64 #s(literal -1 binary64) x)
(*.f64 (neg.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (neg.f64 x))
(*.f64 x #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)) #s(literal 2 binary64))
(/.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 (neg.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (neg.f64 x))
(*.f64 x #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)) #s(literal 2 binary64))
(/.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
(neg.f64 x)
x
#s(literal 1 binary64)
(.f64 (.f64 #s(literal 4 binary64) (neg.f64 y)) z)
(.f64 (.f64 #s(literal 4 binary64) (neg.f64 z)) y)
(.f64 (.f64 (neg.f64 z) #s(literal 4 binary64)) y)
(.f64 (.f64 (*.f64 #s(literal 4 binary64) y) z) #s(literal -1 binary64))
(.f64 (neg.f64 y) (.f64 #s(literal 4 binary64) z))
(.f64 (.f64 #s(literal 4 binary64) y) (neg.f64 z))
(.f64 (.f64 #s(literal -4 binary64) y) z)
(.f64 (.f64 #s(literal -4 binary64) z) y)
(.f64 #s(literal -1 binary64) (.f64 (*.f64 #s(literal 4 binary64) y) z))
(.f64 (.f64 y z) #s(literal -4 binary64))
(.f64 #s(literal -4 binary64) (.f64 y z))
(.f64 (.f64 (neg.f64 z) y) #s(literal 4 binary64))
(.f64 (neg.f64 z) (.f64 #s(literal 4 binary64) y))
(.f64 #s(literal 4 binary64) (.f64 (neg.f64 z) y))
(.f64 y (.f64 (neg.f64 z) #s(literal 4 binary64)))
(.f64 y (.f64 #s(literal -4 binary64) z))
(.f64 z (.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) y)))
(.f64 z (.f64 #s(literal -4 binary64) y))
(neg.f64 (.f64 (.f64 (neg.f64 z) y) #s(literal -4 binary64)))
(neg.f64 (.f64 #s(literal -4 binary64) (.f64 (neg.f64 z) y)))
(neg.f64 (.f64 (.f64 #s(literal 4 binary64) y) z))
(*.f64 (neg.f64 y) z)
(.f64 #s(literal -1 binary64) (.f64 y z))
(.f64 (.f64 y z) #s(literal -1 binary64))
(*.f64 (neg.f64 z) y)
(*.f64 y (neg.f64 z))
(*.f64 z (neg.f64 y))
(neg.f64 (*.f64 y z))
(*.f64 #s(literal -1 binary64) z)
(*.f64 z #s(literal -1 binary64))
(neg.f64 z)
z
y
#s(literal 4 binary64)
#s(approx (+ (* (* (neg x) 1) (* (neg x) 1)) (* (* (neg z) y) 4)) (.f64 (.f64 #s(literal -4 binary64) y) z))
#s(approx (+ (* (* (neg x) 1) (* (neg x) 1)) (* (* (neg z) y) 4)) (fma.f64 (.f64 #s(literal -4 binary64) y) z (.f64 x x)))
#s(approx (* (neg x) 1) (neg.f64 x))
#s(approx (* (neg x) 1) (neg.f64 x))
#s(approx x x)
#s(approx (+ (* (* (neg x) 1) (* (neg x) 1)) (* (* (neg z) y) 4)) (*.f64 x x))
#s(approx (+ (* (* (neg x) 1) (* (neg x) 1)) (* (* (neg z) y) 4)) (.f64 (fma.f64 (/.f64 (.f64 #s(literal -4 binary64) y) x) (/.f64 z x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (* (* (neg z) y) 4) (.f64 (.f64 #s(literal -4 binary64) y) z))
#s(approx (* (neg z) y) (*.f64 (neg.f64 z) y))
#s(approx y y)
#s(approx (+ (* (* (neg x) 1) (* (neg x) 1)) (* (* (neg z) y) 4)) (.f64 (fma.f64 #s(literal -4 binary64) z (/.f64 (.f64 x x) y)) y))
#s(approx (+ (* (* (neg x) 1) (* (neg x) 1)) (* (* (neg z) y) 4)) (.f64 (neg.f64 y) (fma.f64 #s(literal 4 binary64) z (/.f64 (.f64 (neg.f64 x) x) y))))
#s(approx (neg z) (neg.f64 z))
#s(approx z z)
#s(approx (+ (* (* (neg x) 1) (* (neg x) 1)) (* (* (neg z) y) 4)) (.f64 (fma.f64 #s(literal -4 binary64) y (/.f64 (.f64 x x) z)) z))
#s(approx (+ (* (* (neg x) 1) (* (neg x) 1)) (* (* (neg z) y) 4)) (.f64 (fma.f64 #s(literal 4 binary64) y (/.f64 (.f64 (neg.f64 x) x) z)) (neg.f64 z)))

eval14.0ms (0.7%)

Memory: -19.7MiB live, 26.4MiB allocated; 4ms collecting garbage
Compiler: Compiled 1 940 to 270 computations (86.1% saved)

prune156.0ms (8.2%)

Memory

20.5MiB live, 159.1MiB allocated; 16ms collecting garbage

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	121	0	121
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	121	2	123

Accuracy

100.0%

Counts

123 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.0%	(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)))
✓	99.6%	(fma.f64 (.f64 #s(literal -4 binary64) z) y (.f64 x x))

Status

Accuracy

Program

✓

98.0%

(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)))

✓

99.6%

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

Compiler

Compiled 55 to 36 computations (34.5% saved)

regimes14.0ms (0.7%)

Memory

-18.1MiB live, 25.9MiB allocated; 4ms collecting garbage

Accuracy

Total -1.3b remaining (-492.3%)

Threshold costs -1.3b (-492.3%)

Counts

3 → 1

Calls

Call 1

Inputs

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

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

(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)))

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

Calls

7 calls:

4.0ms	(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))
2.0ms	(*.f64 x x)
2.0ms	z
1.0ms	(*.f64 y #s(literal 4 binary64))
1.0ms	x

Results

Accuracy	Segments	Branch
99.6%	1	`(*.f64 y #s(literal 4 binary64))`
99.6%	1	`(.f64 (.f64 y #s(literal 4 binary64)) z)`
99.6%	1	`(*.f64 x x)`
99.6%	1	`(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))`
99.6%	1	`x`
99.6%	1	`y`
99.6%	1	`z`

Compiler

Compiled 23 to 32 computations (-39.1% saved)

simplify9.0ms (0.5%)

Memory

19.7MiB live, 19.7MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8

Stop Event

1×

saturated

Calls

Call 1

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

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

derivations9.0ms (0.5%)

Memory

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

Stop Event

1×

done

Compiler

Compiled 8 to 7 computations (12.5% saved)

preprocess15.0ms (0.8%)

Memory

-21.2MiB live, 24.7MiB allocated; 4ms collecting garbage

Remove

(sort y z)

(abs x)

Compiler

Compiled 66 to 58 computations (12.1% saved)

end0.0ms (0%)

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

Iter	Nodes	Cost
0	31	97
1	88	93
2	227	93
3	498	90
4	632	90
0	8	9
0	12	9
1	23	9
2	61	9
3	143	9
4	227	9
5	253	9
0	253	8

Iter	Nodes	Cost
0	31	97
1	88	93
2	227	93
3	498	90
4	632	90
0	8	9
0	12	9
1	23	9
2	61	9
3	143	9
4	227	9
5	253	9
0	253	8

start0.0ms (0%)

analyze0.0ms (0%)

sample833.0ms (43.7%)

explain94.0ms (4.9%)

preprocess27.0ms (1.4%)

eval0.0ms (0%)

prune0.0ms (0%)

series9.0ms (0.5%)

rewrite105.0ms (5.5%)

eval42.0ms (2.2%)

prune265.0ms (13.9%)

series5.0ms (0.3%)

rewrite97.0ms (5.1%)

eval19.0ms (1%)

prune97.0ms (5.1%)

series7.0ms (0.4%)

rewrite87.0ms (4.6%)

eval14.0ms (0.7%)

prune156.0ms (8.2%)

regimes14.0ms (0.7%)

simplify9.0ms (0.5%)

derivations9.0ms (0.5%)

preprocess15.0ms (0.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	31	97
1	88	93
2	227	93
3	498	90
4	632	90
0	8	9
0	12	9
1	23	9
2	61	9
3	143	9
4	227	9
5	253	9
0	253	8