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

0.6MiB live, 0.6MiB 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)

sample1.1s (53.9%)

Memory

-17.2MiB live, 1 430.4MiB allocated; 267ms collecting garbage

Samples

789.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 358.0ms

ival-mult: 277.0ms (77.3% of total)

ival-sub: 65.0ms (18.1% of total)

ival-true: 6.0ms (1.7% of total)

exact: 5.0ms (1.4% of total)

ival-assert: 3.0ms (0.8% of total)

adjust: 2.0ms (0.6% of total)

Bogosity

explain161.0ms (7.6%)

Memory

-8.2MiB live, 189.4MiB allocated; 28ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
2	-	-	`(-.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	2	0
↳	`(*.f64 x x)`	overflow	65
↳	`(*.f64 y #s(literal 4 binary64))`	overflow	1
↳	`(.f64 (.f64 y #s(literal 4 binary64)) z)`	overflow	32
`*.f64`	`(.f64 (.f64 y #s(literal 4 binary64)) z)`	*no**	1	0

Confusion

	Predicted +	Predicted -
+	3	0
-	0	253

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	3	0	0
-	0	0	253

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	253
1	3

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

29.0ms

512×

valid

Compiler

Compiled 61 to 28 computations (54.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-mult: 10.0ms (76% of total)

ival-sub: 2.0ms (15.2% 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 (1.3%)

Memory

8.5MiB live, 53.0MiB allocated; 11ms 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

1.2MiB live, 1.2MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

series9.0ms (0.4%)

Memory

24.6MiB live, 24.6MiB 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)

simplify141.0ms (6.6%)

Memory

3.5MiB live, 225.3MiB allocated; 47ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	203
1	121	203
2	396	203
3	2320	203
0	8381	187

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 15

Calls

Call 1

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

rewrite65.0ms (3.1%)

Memory

-7.9MiB live, 95.6MiB allocated; 27ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	24
0	12	24
1	38	24
0	268	23

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

8 → 62

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

eval8.0ms (0.4%)

Memory: 19.8MiB live, 19.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 969 to 168 computations (82.7% saved)

prune5.0ms (0.2%)

Memory

-38.2MiB live, 7.8MiB allocated; 5ms collecting garbage

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	72	3	75
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	73	3	76

Accuracy

100.0%

Counts

76 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (.f64 #s(literal -4 binary64) y) z (.f64 x x))
▶	49.8%	#s(approx (- (* x x) (* (* y 4) z)) (.f64 (.f64 z y) #s(literal -4 binary64)))
▶	56.6%	#s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x))

Compiler

Compiled 36 to 29 computations (19.4% saved)

series8.0ms (0.4%)

Memory

19.2MiB live, 19.2MiB allocated; 0ms collecting garbage

Counts

11 → 24

Calls

Call 1

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

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

Calls

9 calls:

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

simplify192.0ms (9%)

Memory

16.6MiB live, 242.6MiB allocated; 39ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	78	372
1	181	372
2	552	372
3	2784	372
0	8857	342

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 24

Calls

Call 1

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

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

rewrite78.0ms (3.7%)

Memory

-14.4MiB live, 90.4MiB allocated; 38ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	54
0	22	54
1	68	52
0	487	52

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

11 → 98

Calls

Call 1

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

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

eval13.0ms (0.6%)

Memory: 28.8MiB live, 28.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 900 to 259 computations (86.4% saved)

prune13.0ms (0.6%)

Memory

-21.6MiB live, 24.1MiB allocated; 5ms collecting garbage

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	135	0	135
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	135	3	138

Accuracy

100.0%

Counts

138 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (.f64 #s(literal -4 binary64) y) z (.f64 x x))
✓	49.8%	#s(approx (- (* x x) (* (* y 4) z)) (.f64 (.f64 z y) #s(literal -4 binary64)))
✓	56.6%	#s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x))

Compiler

Compiled 81 to 49 computations (39.5% saved)

regimes39.0ms (1.8%)

Memory

-3.3MiB live, 38.7MiB allocated; 6ms collecting garbage

Counts

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

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

Calls

7 calls:

27.0ms	(*.f64 x x)
2.0ms	z
2.0ms	y
2.0ms	(*.f64 y #s(literal 4 binary64))
2.0ms	x

Results

Accuracy	Segments	Branch
100.0%	1	`(*.f64 y #s(literal 4 binary64))`
100.0%	1	`(.f64 (.f64 y #s(literal 4 binary64)) z)`
100.0%	1	`(*.f64 x x)`
100.0%	1	`(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))`
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`

Compiler

Compiled 23 to 32 computations (-39.1% saved)

regimes22.0ms (1%)

Memory

-11.3MiB live, 35.3MiB allocated; 18ms 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:

13.0ms	(*.f64 y #s(literal 4 binary64))
1.0ms	(.f64 (.f64 y #s(literal 4 binary64)) z)
1.0ms	(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))
1.0ms	x
1.0ms	z

Results

Accuracy	Segments	Branch
69.8%	3	`(*.f64 y #s(literal 4 binary64))`
72.4%	3	`(.f64 (.f64 y #s(literal 4 binary64)) z)`
84.5%	2	`(*.f64 x x)`
78.6%	2	`(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))`
84.5%	2	`x`
69.8%	3	`y`
69.1%	3	`z`

Compiler

Compiled 23 to 32 computations (-39.1% saved)

regimes10.0ms (0.5%)

Memory

27.6MiB live, 27.6MiB 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:

3.0ms	x
1.0ms	(.f64 (.f64 y #s(literal 4 binary64)) z)
1.0ms	(*.f64 y #s(literal 4 binary64))
1.0ms	y
1.0ms	(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))

Results

Accuracy	Segments	Branch
56.6%	1	`z`
56.6%	1	`(*.f64 y #s(literal 4 binary64))`
56.6%	1	`y`
56.6%	1	`(.f64 (.f64 y #s(literal 4 binary64)) z)`
56.6%	1	`(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))`
56.6%	1	`(*.f64 x x)`
56.6%	1	`x`

Compiler

Compiled 23 to 32 computations (-39.1% saved)

bsearch27.0ms (1.3%)

Memory

12.4MiB live, 48.1MiB allocated; 17ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
26.0ms	1.7186800837196071e-69	1.1028887608208549e-67

Samples

22.0ms

112×

valid

Compiler

Compiled 208 to 182 computations (12.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-mult: 2.0ms (63.6% of total)

ival-sub: 1.0ms (31.8% 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)

simplify23.0ms (1.1%)

Memory

15.7MiB live, 58.6MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	53
1	30	53
2	67	53
3	151	53
4	242	53
5	288	53

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

(if (<=.f64 x #s(literal 834740539628243/7588550360256754183279148073529370729071901715047420004889892225542594864082845696 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 (*.f64 #s(literal -4 binary64) y) z (*.f64 x x))

(if (<=.f64 x #s(literal 834740539628243/7588550360256754183279148073529370729071901715047420004889892225542594864082845696 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))

derivations106.0ms (5%)

Memory

-47.4MiB live, 59.4MiB allocated; 42ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 53 to 19 computations (64.2% saved)

preprocess30.0ms (1.4%)

Memory: 40.4MiB live, 89.4MiB allocated; 5ms collecting garbage
Remove: (abs x)
Compiler: Compiled 172 to 96 computations (44.2% 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%)

sample1.1s (53.9%)

explain161.0ms (7.6%)

preprocess27.0ms (1.3%)

eval0.0ms (0%)

prune0.0ms (0%)

series9.0ms (0.4%)

simplify141.0ms (6.6%)

rewrite65.0ms (3.1%)

eval8.0ms (0.4%)

prune5.0ms (0.2%)

series8.0ms (0.4%)

simplify192.0ms (9%)

rewrite78.0ms (3.7%)

eval13.0ms (0.6%)

prune13.0ms (0.6%)

regimes39.0ms (1.8%)

regimes22.0ms (1%)

regimes10.0ms (0.5%)

bsearch27.0ms (1.3%)

simplify23.0ms (1.1%)

derivations106.0ms (5%)

preprocess30.0ms (1.4%)

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