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

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

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

Algorithm

1×

Search

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

Compiler

Compiled 11 to 10 computations (9.1% saved)

sample907.0ms (64%)

Memory

2.8MiB live, 996.0MiB allocated; 372ms collecting garbage

Samples

558.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 295.0ms

ival-mult!: 275.0ms (93.2% of total)

ival-sub!: 18.0ms (6.1% of total)

adjust: 2.0ms (0.7% of total)

Bogosity

explain74.0ms (5.2%)

Memory

-9.5MiB live, 136.5MiB allocated; 15ms 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))`
1	-	-	`(.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	-	-	`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	54
↳	`(*.f64 y #s(literal 4 binary64))`	overflow	2
↳	`(.f64 (.f64 y #s(literal 4 binary64)) z)`	overflow	28
`*.f64`	`(.f64 (.f64 y #s(literal 4 binary64)) z)`	*no**	1	0

Confusion

	Predicted +	Predicted -
+	7	0
-	0	249

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	7	0	0
-	0	0	249

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	249
1	7

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

26.0ms

512×

valid

Compiler

Compiled 61 to 28 computations (54.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-mult!: 10.0ms (92% of total)

ival-sub!: 1.0ms (9.2% of total)

adjust: 0.0ms (0% of total)

preprocess24.0ms (1.7%)

Memory

-18.6MiB live, 27.9MiB allocated; 4ms 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: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.6%	(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))

Compiler

Compiled 9 to 8 computations (11.1% saved)

series9.0ms (0.6%)

Memory

9.3MiB live, 9.3MiB 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)

rewrite76.0ms (5.4%)

Memory

-5.3MiB live, 86.7MiB allocated; 8ms 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))))

eval17.0ms (1.2%)

Memory: 34.7MiB live, 34.7MiB allocated; 0ms collecting garbage
Compiler: Compiled 2 354 to 325 computations (86.2% saved)

prune10.0ms (0.7%)

Memory

-30.7MiB live, 17.2MiB allocated; 6ms collecting garbage

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	171	4	175
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	172	4	176

Accuracy

100.0%

Counts

176 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.4%	(fma.f64 (.f64 #s(literal -4 binary64) z) y (.f64 x x))
▶	98.8%	(fma.f64 x x (.f64 (.f64 z y) #s(literal -4 binary64)))
▶	55.4%	#s(approx (- (* x x) (* (* y 4) z)) (.f64 (.f64 z y) #s(literal -4 binary64)))
▶	51.9%	#s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x))

Compiler

Compiled 44 to 36 computations (18.2% saved)

series8.0ms (0.6%)

Memory

16.3MiB live, 16.3MiB allocated; 0ms collecting garbage

Counts

12 → 32

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

rewrite106.0ms (7.5%)

Memory

9.8MiB live, 138.5MiB allocated; 34ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	95	598
0	100	571
1	388	571
0	2671	556

Stop Event

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

Counts

44 → 372

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

eval42.0ms (2.9%)

Memory: -0.8MiB live, 54.3MiB allocated; 20ms collecting garbage
Compiler: Compiled 3 778 to 430 computations (88.6% saved)

prune12.0ms (0.8%)

Memory

-23.0MiB live, 25.3MiB allocated; 3ms collecting garbage

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	275	0	275
Fresh	0	0	0
Picked	0	4	4
Done	0	0	0
Total	275	4	279

Accuracy

100.0%

Counts

279 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.4%	(fma.f64 (.f64 #s(literal -4 binary64) z) y (.f64 x x))
✓	98.8%	(fma.f64 x x (.f64 (.f64 z y) #s(literal -4 binary64)))
✓	55.4%	#s(approx (- (* x x) (* (* y 4) z)) (.f64 (.f64 z y) #s(literal -4 binary64)))
✓	51.9%	#s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x))

Compiler

Compiled 97 to 57 computations (41.2% saved)

regimes14.0ms (1%)

Memory

25.4MiB live, 25.4MiB allocated; 0ms 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 z y) #s(literal -4 binary64)))
(fma.f64 x x (.f64 (.f64 z y) #s(literal -4 binary64)))
(fma.f64 (.f64 #s(literal -4 binary64) z) y (.f64 x x))
(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
98.8%	1	`(*.f64 y #s(literal 4 binary64))`
98.8%	1	`(.f64 (.f64 y #s(literal 4 binary64)) z)`
98.8%	1	`(*.f64 x x)`
98.8%	1	`(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))`
98.8%	1	`x`
98.8%	1	`y`
98.8%	1	`z`

Compiler

Compiled 23 to 32 computations (-39.1% saved)

regimes43.0ms (3.1%)

Memory

-26.9MiB live, 19.9MiB allocated; 2ms collecting garbage

Counts

2 → 2

Calls

Call 1

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
67.5%	3	`(*.f64 y #s(literal 4 binary64))`
71.4%	3	`(.f64 (.f64 y #s(literal 4 binary64)) z)`
84.6%	2	`(*.f64 x x)`
73.9%	2	`(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))`
84.6%	2	`x`
67.5%	3	`y`
69.4%	3	`z`

Compiler

Compiled 23 to 32 computations (-39.1% saved)

regimes7.0ms (0.5%)

Memory

16.1MiB live, 16.1MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
51.9%	1	`(*.f64 y #s(literal 4 binary64))`
51.9%	1	`y`
51.9%	1	`z`
51.9%	1	`(.f64 (.f64 y #s(literal 4 binary64)) z)`
51.9%	1	`(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))`
51.9%	1	`(*.f64 x x)`
51.9%	1	`x`

Compiler

Compiled 23 to 32 computations (-39.1% saved)

bsearch11.0ms (0.7%)

Memory

9.4MiB live, 9.4MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	1.4909015616306354e-18	1.0176865140872946e-14

Samples

5.0ms

128×

valid

Compiler

Compiled 236 to 206 computations (12.7% saved)

Precisions

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

ival-mult!: 2.0ms (99.9% of total)

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

adjust: 0.0ms (0% of total)

simplify12.0ms (0.8%)

Memory

12.0MiB live, 12.0MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	53
1	29	53
2	66	53
3	150	53
4	241	53
5	287	53

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

(if (<=.f64 x #s(literal 1541463129877527/40564819207303340847894502572032 binary64)) #s(approx (- (* x x) (* (* y 4) z)) (*.f64 (*.f64 z y) #s(literal -4 binary64))) #s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x)))

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

Outputs

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

(if (<=.f64 x #s(literal 1541463129877527/40564819207303340847894502572032 binary64)) #s(approx (- (* x x) (* (* y 4) z)) (*.f64 (*.f64 z y) #s(literal -4 binary64))) #s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x)))

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

derivations24.0ms (1.7%)

Memory

-34.7MiB live, 11.7MiB allocated; 3ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 53 to 18 computations (66% saved)

preprocess21.0ms (1.5%)

Memory

29.6MiB live, 29.6MiB allocated; 0ms collecting garbage

Remove

(sort y z)

(abs x)

Compiler

Compiled 400 to 222 computations (44.5% 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%)

sample907.0ms (64%)

explain74.0ms (5.2%)

preprocess24.0ms (1.7%)

eval0.0ms (0%)

prune0.0ms (0%)

series9.0ms (0.6%)

rewrite76.0ms (5.4%)

eval17.0ms (1.2%)

prune10.0ms (0.7%)

series8.0ms (0.6%)

rewrite106.0ms (7.5%)

eval42.0ms (2.9%)

prune12.0ms (0.8%)

regimes14.0ms (1%)

regimes43.0ms (3.1%)

regimes7.0ms (0.5%)

bsearch11.0ms (0.7%)

simplify12.0ms (0.8%)

derivations24.0ms (1.7%)

preprocess21.0ms (1.5%)

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