Metrics for Data.Random.Distribution.Normal:normalTail from random-fu-0.2.6.2

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB 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 9 to 7 computations (22.2% saved)

sample578.0ms (46.9%)

Memory

15.8MiB live, 1 003.4MiB allocated; 150ms collecting garbage

Samples

358.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 118.0ms

ival-mult!: 69.0ms (58.2% of total)

ival-add!: 48.0ms (40.5% of total)

adjust: 2.0ms (1.7% of total)

Bogosity

explain84.0ms (6.8%)

Memory

-3.1MiB live, 96.5MiB allocated; 12ms collecting garbage

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(+.f64 (*.f64 x x) y)`
-	-	`(+.f64 (+.f64 (*.f64 x x) y) y)`
-	-	`y`
-	-	`(*.f64 x x)`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

17.0ms

512×

valid

Compiler

Compiled 45 to 19 computations (57.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-mult!: 3.0ms (55.9% of total)

ival-add!: 2.0ms (37.3% of total)

adjust: 0.0ms (0% of total)

preprocess213.0ms (17.3%)

Memory

1.9MiB live, 235.9MiB allocated; 18ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	48
1	48	45
2	122	43
3	199	42
4	309	42
5	379	42
6	587	42
7	1378	42
8	6105	42
0	5	7
0	8	7
1	16	7
2	38	7
3	82	7
4	117	7
5	155	7
6	247	7
7	608	7
8	2900	7
0	8274	6

Stop Event

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

Calls

Call 1

Inputs
(+.f64 (+.f64 (*.f64 x x) y) y)

Outputs
(+.f64 (+.f64 (*.f64 x x) y) y)
(fma.f64 #s(literal 2 binary64) y (*.f64 x x))

Symmetry

(abs x)

Compiler

Compiled 7 to 5 computations (28.6% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 (+.f64 (*.f64 x x) y) y)

Compiler

Compiled 7 to 5 computations (28.6% saved)

series4.0ms (0.3%)

Memory

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

Counts

5 → 15

Calls

Call 1

Inputs
(+.f64 (+.f64 (*.f64 x x) y) y)
(+.f64 (*.f64 x x) y)
(*.f64 x x)
x
y

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

Calls

6 calls:

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

rewrite102.0ms (8.2%)

Memory

-5.2MiB live, 140.4MiB allocated; 29ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	204
0	52	200
1	231	200
0	1992	181

Stop Event

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

Counts

20 → 133

Calls

Call 1

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

Outputs
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 y y) #s(literal 4 binary64))) (-.f64 (.f64 x x) (.f64 #s(literal 2 binary64) y)))
(/.f64 (-.f64 (*.f64 y y) (pow.f64 (fma.f64 x x y) #s(literal 2 binary64))) (-.f64 y (fma.f64 x x y)))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (fma.f64 #s(literal 2 binary64) y (*.f64 (neg.f64 x) x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x x y) #s(literal 2 binary64)) (*.f64 y y))) (neg.f64 (-.f64 (fma.f64 x x y) y)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (fma.f64 (.f64 y y) #s(literal 4 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 2 binary64) (.f64 (.f64 x x) y))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (fma.f64 x x y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y (fma.f64 x x y)) (pow.f64 (fma.f64 x x y) #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 2 binary64) y (*.f64 (neg.f64 x) x)))
(/.f64 (-.f64 (pow.f64 (fma.f64 x x y) #s(literal 2 binary64)) (*.f64 y y)) (-.f64 (fma.f64 x x y) y))
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) y)))))
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (.f64 y y) #s(literal 4 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 2 binary64) (.f64 (.f64 x x) y)))))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (fma.f64 x x y) #s(literal 3 binary64))) (fma.f64 y y (-.f64 (pow.f64 (fma.f64 x x y) #s(literal 2 binary64)) (*.f64 (fma.f64 x x y) y))))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (fma.f64 x x y) #s(literal 3 binary64))) (fma.f64 y (-.f64 y (fma.f64 x x y)) (pow.f64 (fma.f64 x x y) #s(literal 2 binary64))))
(fma.f64 (.f64 (neg.f64 x) #s(literal 1 binary64)) (.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) y))
(fma.f64 (.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) y))
(fma.f64 (.f64 x #s(literal 1 binary64)) (.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) y))
(fma.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 #s(literal 2 binary64) y))
(fma.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x) (.f64 #s(literal 2 binary64) y))
(fma.f64 (.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 2 binary64) y))
(fma.f64 (.f64 #s(literal 1 binary64) (fabs.f64 x)) (fabs.f64 x) (.f64 #s(literal 2 binary64) y))
(fma.f64 (.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 2 binary64) y))
(fma.f64 (.f64 #s(literal 1 binary64) x) x (.f64 #s(literal 2 binary64) y))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 #s(literal 2 binary64) y))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (*.f64 #s(literal 2 binary64) y))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (*.f64 #s(literal 2 binary64) y))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 #s(literal 2 binary64) y))
(fma.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) y))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 #s(literal 2 binary64) y))
(fma.f64 (fabs.f64 x) (.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) y))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 #s(literal 2 binary64) y))
(fma.f64 #s(literal 1 binary64) (.f64 x x) (.f64 #s(literal 2 binary64) y))
(fma.f64 (.f64 x x) #s(literal 1 binary64) (.f64 #s(literal 2 binary64) y))
(fma.f64 #s(literal 2 binary64) y (*.f64 x x))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(fma.f64 x (.f64 x #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) y))
(fma.f64 x x (*.f64 #s(literal 2 binary64) y))
(-.f64 (/.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (fma.f64 #s(literal 2 binary64) y (.f64 (neg.f64 x) x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 2 binary64) y (.f64 (neg.f64 x) x))))
(-.f64 (/.f64 (pow.f64 (fma.f64 x x y) #s(literal 2 binary64)) (-.f64 (fma.f64 x x y) y)) (/.f64 (*.f64 y y) (-.f64 (fma.f64 x x y) y)))
(-.f64 (.f64 x x) (.f64 #s(literal -2 binary64) y))
(-.f64 (.f64 x x) (.f64 (neg.f64 y) #s(literal 2 binary64)))
(-.f64 (.f64 #s(literal 2 binary64) y) (.f64 (neg.f64 x) x))
(+.f64 (/.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (.f64 y y) #s(literal 4 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 2 binary64) (.f64 (.f64 x x) y))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 y y) #s(literal 4 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) y))))))
(+.f64 (/.f64 (pow.f64 (fma.f64 x x y) #s(literal 3 binary64)) (fma.f64 y (-.f64 y (fma.f64 x x y)) (pow.f64 (fma.f64 x x y) #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y (fma.f64 x x y)) (pow.f64 (fma.f64 x x y) #s(literal 2 binary64)))))
(+.f64 (.f64 x x) (.f64 #s(literal 2 binary64) y))
(+.f64 (.f64 #s(literal 2 binary64) y) (.f64 x x))
(+.f64 (fma.f64 x x y) y)
(+.f64 y (fma.f64 x x y))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 y y))) (neg.f64 (-.f64 (.f64 x x) y)))
(/.f64 (neg.f64 (-.f64 (.f64 y y) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (-.f64 y (.f64 x x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 x x) (-.f64 (.f64 x x) y) (*.f64 y y))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 y y)) (-.f64 (.f64 x x) y))
(/.f64 (-.f64 (.f64 y y) (pow.f64 x #s(literal 4 binary64))) (-.f64 y (.f64 x x)))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (.f64 x x) (-.f64 (.f64 x x) y) (*.f64 y y)))
(fma.f64 (.f64 (neg.f64 x) #s(literal 1 binary64)) (.f64 (neg.f64 x) #s(literal 1 binary64)) y)
(fma.f64 (.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 (fabs.f64 x) #s(literal 1 binary64)) y)
(fma.f64 (.f64 x #s(literal 1 binary64)) (.f64 x #s(literal 1 binary64)) y)
(fma.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (.f64 #s(literal 1 binary64) (neg.f64 x)) y)
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x) y)
(fma.f64 (.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 #s(literal 1 binary64) (fabs.f64 x)) y)
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (fabs.f64 x) y)
(fma.f64 (.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1 binary64) x) y)
(fma.f64 (*.f64 #s(literal 1 binary64) x) x y)
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) y)
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) y)
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) y)
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) y)
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1 binary64)) y)
(fma.f64 (neg.f64 x) (neg.f64 x) y)
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1 binary64)) y)
(fma.f64 (fabs.f64 x) (fabs.f64 x) y)
(fma.f64 #s(literal 1 binary64) (*.f64 x x) y)
(fma.f64 (*.f64 x x) #s(literal 1 binary64) y)
(fma.f64 x (*.f64 x #s(literal 1 binary64)) y)
(fma.f64 x x y)
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 x x) y)) (/.f64 (.f64 y y) (-.f64 (*.f64 x x) y)))
(-.f64 (/.f64 (.f64 y y) (-.f64 y (.f64 x x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 y (*.f64 x x))))
(-.f64 y (*.f64 (neg.f64 x) x))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 y (-.f64 y (.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y (.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (.f64 x x) (-.f64 (.f64 x x) y) (.f64 y y))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 x x) (-.f64 (.f64 x x) y) (.f64 y y))))
(+.f64 (*.f64 x x) y)
(+.f64 y (*.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
y
#s(approx (+ (+ (* x x) y) y) (*.f64 #s(literal 2 binary64) y))
#s(approx (+ (+ (* x x) y) y) (+.f64 (fma.f64 x x y) y))
#s(approx (+ (* x x) y) y)
#s(approx (+ (* x x) y) (fma.f64 x x y))
#s(approx (* x x) (*.f64 x x))
#s(approx x x)
#s(approx (+ (+ (* x x) y) y) (*.f64 x x))
#s(approx (+ (+ (* x x) y) y) (.f64 (.f64 (fma.f64 (/.f64 y (*.f64 x x)) #s(literal 2 binary64) #s(literal 1 binary64)) x) x))
#s(approx (+ (* x x) y) (*.f64 x x))
#s(approx (+ (* x x) y) (.f64 (.f64 (-.f64 (/.f64 y (*.f64 x x)) #s(literal -1 binary64)) x) x))
#s(approx y y)
#s(approx (+ (+ (* x x) y) y) (*.f64 (fma.f64 x (/.f64 x y) #s(literal 2 binary64)) y))
#s(approx (+ (* x x) y) (fma.f64 (/.f64 (*.f64 x x) y) y y))
#s(approx (+ (+ (* x x) y) y) (.f64 (neg.f64 y) (-.f64 (/.f64 (.f64 (neg.f64 x) x) y) #s(literal 2 binary64))))
#s(approx (+ (* x x) y) (.f64 (neg.f64 y) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 x x) y) #s(literal -1 binary64))))

eval16.0ms (1.3%)

Memory: -6.4MiB live, 41.0MiB allocated; 5ms collecting garbage
Compiler: Compiled 1 742 to 371 computations (78.7% saved)

prune4.0ms (0.3%)

Memory

14.3MiB live, 14.3MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	133	4	137
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	134	4	138

Accuracy

100.0%

Counts

138 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 (fma.f64 x x y) y)
▶	56.9%	(+.f64 #s(approx (+ (* x x) y) (*.f64 x x)) y)
▶	53.8%	(+.f64 #s(approx (+ (* x x) y) y) y)
▶	49.1%	#s(approx (+ (+ (* x x) y) y) (*.f64 x x))

Compiler

Compiled 37 to 24 computations (35.1% saved)

series7.0ms (0.6%)

Memory

-32.9MiB live, 12.3MiB allocated; 4ms collecting garbage

Counts

10 → 15

Calls

Call 1

Inputs
#s(approx (+ (+ (* x x) y) y) (*.f64 x x))
(*.f64 x x)
x
(+.f64 #s(approx (+ (* x x) y) y) y)
#s(approx (+ (* x x) y) y)
y
(+.f64 #s(approx (+ (* x x) y) (*.f64 x x)) y)
#s(approx (+ (* x x) y) (*.f64 x x))
(+.f64 (fma.f64 x x y) y)
(fma.f64 x x y)

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

Calls

6 calls:

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

rewrite114.0ms (9.2%)

Memory

3.5MiB live, 141.7MiB allocated; 43ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	232
0	58	226
1	258	226
0	2189	223

Stop Event

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

Counts

25 → 156

Calls

Call 1

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

Outputs
#s(approx (+ (+ (* x x) y) y) (*.f64 x x))
(.f64 (.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(.f64 (.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (fabs.f64 x) #s(literal 1 binary64)))
(.f64 (.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 x)))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 1 binary64) (fabs.f64 x)))
(.f64 (.f64 #s(literal 1 binary64) (fabs.f64 x)) (fabs.f64 x))
(.f64 (.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) x))
(.f64 (.f64 #s(literal 1 binary64) x) x)
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (neg.f64 x) (neg.f64 x))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(.f64 #s(literal 1 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1 binary64))
(.f64 x (.f64 x #s(literal 1 binary64)))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) #s(literal 0 binary64)))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
x
(/.f64 (-.f64 (.f64 y y) (pow.f64 #s(approx (+ ( x x) y) y) #s(literal 2 binary64))) (-.f64 y #s(approx (+ (* x x) y) y)))
(/.f64 (neg.f64 (.f64 (+.f64 #s(approx (+ ( x x) y) y) y) (-.f64 #s(approx (+ (* x x) y) y) y))) (neg.f64 (-.f64 #s(approx (+ (* x x) y) y) y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (+ (* x x) y) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(approx (+ (* x x) y) y) #s(approx (+ (* x x) y) y) (.f64 y (-.f64 y #s(approx (+ ( x x) y) y))))))
(/.f64 (.f64 (+.f64 #s(approx (+ ( x x) y) y) y) (-.f64 #s(approx (+ (* x x) y) y) y)) (-.f64 #s(approx (+ (* x x) y) y) y))
(/.f64 (+.f64 (pow.f64 #s(approx (+ (* x x) y) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (pow.f64 #s(approx (+ (* x x) y) y) #s(literal 2 binary64)) (.f64 #s(approx (+ ( x x) y) y) y))))
(/.f64 (+.f64 (pow.f64 #s(approx (+ (* x x) y) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 #s(approx (+ (* x x) y) y) #s(approx (+ (* x x) y) y) (.f64 y (-.f64 y #s(approx (+ ( x x) y) y)))))
(-.f64 (/.f64 (pow.f64 #s(approx (+ (* x x) y) y) #s(literal 2 binary64)) (-.f64 #s(approx (+ (* x x) y) y) y)) (/.f64 (.f64 y y) (-.f64 #s(approx (+ ( x x) y) y) y)))
(+.f64 (/.f64 (pow.f64 #s(approx (+ (* x x) y) y) #s(literal 3 binary64)) (fma.f64 #s(approx (+ (* x x) y) y) #s(approx (+ (* x x) y) y) (.f64 y (-.f64 y #s(approx (+ ( x x) y) y))))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(approx (+ (* x x) y) y) #s(approx (+ (* x x) y) y) (.f64 y (-.f64 y #s(approx (+ ( x x) y) y))))))
(+.f64 #s(approx (+ (* x x) y) y) y)
(+.f64 y #s(approx (+ (* x x) y) y))
#s(approx (+ (* x x) y) y)
y
(/.f64 (-.f64 (.f64 y y) (pow.f64 #s(approx (+ ( x x) y) (.f64 x x)) #s(literal 2 binary64))) (-.f64 y #s(approx (+ ( x x) y) (*.f64 x x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (+ (* x x) y) (.f64 x x)) #s(literal 2 binary64)) (.f64 y y))) (neg.f64 (-.f64 #s(approx (+ (* x x) y) (*.f64 x x)) y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 #s(approx (+ (* x x) y) (.f64 x x)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y #s(approx (+ ( x x) y) (.f64 x x))) (pow.f64 #s(approx (+ ( x x) y) (*.f64 x x)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 #s(approx (+ (* x x) y) (.f64 x x)) #s(literal 2 binary64)) (.f64 y y)) (-.f64 #s(approx (+ (* x x) y) (*.f64 x x)) y))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 #s(approx (+ (* x x) y) (.f64 x x)) #s(literal 3 binary64))) (fma.f64 y y (-.f64 (pow.f64 #s(approx (+ ( x x) y) (.f64 x x)) #s(literal 2 binary64)) (.f64 #s(approx (+ (* x x) y) (*.f64 x x)) y))))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 #s(approx (+ (* x x) y) (.f64 x x)) #s(literal 3 binary64))) (fma.f64 y (-.f64 y #s(approx (+ ( x x) y) (.f64 x x))) (pow.f64 #s(approx (+ ( x x) y) (*.f64 x x)) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 #s(approx (+ (* x x) y) (.f64 x x)) #s(literal 2 binary64)) (-.f64 #s(approx (+ ( x x) y) (.f64 x x)) y)) (/.f64 (.f64 y y) (-.f64 #s(approx (+ (* x x) y) (*.f64 x x)) y)))
(+.f64 (/.f64 (pow.f64 #s(approx (+ (* x x) y) (.f64 x x)) #s(literal 3 binary64)) (fma.f64 y (-.f64 y #s(approx (+ ( x x) y) (.f64 x x))) (pow.f64 #s(approx (+ ( x x) y) (.f64 x x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y #s(approx (+ ( x x) y) (.f64 x x))) (pow.f64 #s(approx (+ ( x x) y) (*.f64 x x)) #s(literal 2 binary64)))))
(+.f64 #s(approx (+ (* x x) y) (*.f64 x x)) y)
(+.f64 y #s(approx (+ (* x x) y) (*.f64 x x)))
#s(approx (+ (* x x) y) (*.f64 x x))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (.f64 y y))) (-.f64 (.f64 x x) (.f64 #s(literal 2 binary64) y)))
(/.f64 (-.f64 (*.f64 y y) (pow.f64 (fma.f64 x x y) #s(literal 2 binary64))) (-.f64 y (fma.f64 x x y)))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (fma.f64 #s(literal 2 binary64) y (*.f64 (neg.f64 x) x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x x y) #s(literal 2 binary64)) (*.f64 y y))) (neg.f64 (-.f64 (fma.f64 x x y) y)))
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (fma.f64 #s(literal 4 binary64) (.f64 y y) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 (.f64 #s(literal 2 binary64) y) x) x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x x y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y (fma.f64 x x y)) (pow.f64 (fma.f64 x x y) #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 2 binary64) y (*.f64 (neg.f64 x) x)))
(/.f64 (-.f64 (pow.f64 (fma.f64 x x y) #s(literal 2 binary64)) (*.f64 y y)) (-.f64 (fma.f64 x x y) y))
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (.f64 (.f64 (*.f64 #s(literal 2 binary64) y) x) x))))
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 4 binary64) (.f64 y y) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 (.f64 #s(literal 2 binary64) y) x) x))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x x y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (pow.f64 (fma.f64 x x y) #s(literal 2 binary64)) (*.f64 (fma.f64 x x y) y))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x x y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y (fma.f64 x x y)) (pow.f64 (fma.f64 x x y) #s(literal 2 binary64))))
(fma.f64 (.f64 (neg.f64 x) #s(literal 1 binary64)) (.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) y))
(fma.f64 (.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) y))
(fma.f64 (.f64 x #s(literal 1 binary64)) (.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) y))
(fma.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 #s(literal 2 binary64) y))
(fma.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x) (.f64 #s(literal 2 binary64) y))
(fma.f64 (.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 2 binary64) y))
(fma.f64 (.f64 #s(literal 1 binary64) (fabs.f64 x)) (fabs.f64 x) (.f64 #s(literal 2 binary64) y))
(fma.f64 (.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 2 binary64) y))
(fma.f64 (.f64 #s(literal 1 binary64) x) x (.f64 #s(literal 2 binary64) y))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 #s(literal 2 binary64) y))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (*.f64 #s(literal 2 binary64) y))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (*.f64 #s(literal 2 binary64) y))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 #s(literal 2 binary64) y))
(fma.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) y))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 #s(literal 2 binary64) y))
(fma.f64 (fabs.f64 x) (.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) y))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 #s(literal 2 binary64) y))
(fma.f64 #s(literal 1 binary64) (.f64 x x) (.f64 #s(literal 2 binary64) y))
(fma.f64 (.f64 x x) #s(literal 1 binary64) (.f64 #s(literal 2 binary64) y))
(fma.f64 #s(literal 2 binary64) y (*.f64 x x))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(fma.f64 x (.f64 x #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) y))
(fma.f64 x x (*.f64 #s(literal 2 binary64) y))
(-.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 y y)) (fma.f64 #s(literal 2 binary64) y (.f64 (neg.f64 x) x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 2 binary64) y (.f64 (neg.f64 x) x))))
(-.f64 (/.f64 (pow.f64 (fma.f64 x x y) #s(literal 2 binary64)) (-.f64 (fma.f64 x x y) y)) (/.f64 (*.f64 y y) (-.f64 (fma.f64 x x y) y)))
(-.f64 (.f64 x x) (.f64 #s(literal -2 binary64) y))
(-.f64 (.f64 x x) (.f64 (neg.f64 y) #s(literal 2 binary64)))
(-.f64 (.f64 #s(literal 2 binary64) y) (.f64 (neg.f64 x) x))
(+.f64 (/.f64 (.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 #s(literal 4 binary64) (.f64 y y) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 (.f64 #s(literal 2 binary64) y) x) x)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 y y) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 (*.f64 #s(literal 2 binary64) y) x) x)))))
(+.f64 (/.f64 (pow.f64 (fma.f64 x x y) #s(literal 3 binary64)) (fma.f64 y (-.f64 y (fma.f64 x x y)) (pow.f64 (fma.f64 x x y) #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y (fma.f64 x x y)) (pow.f64 (fma.f64 x x y) #s(literal 2 binary64)))))
(+.f64 (.f64 x x) (.f64 #s(literal 2 binary64) y))
(+.f64 (.f64 #s(literal 2 binary64) y) (.f64 x x))
(+.f64 (fma.f64 x x y) y)
(+.f64 y (fma.f64 x x y))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 y y))) (neg.f64 (-.f64 (.f64 x x) y)))
(/.f64 (neg.f64 (-.f64 (.f64 y y) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (-.f64 y (.f64 x x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 x x) (-.f64 (.f64 x x) y) (*.f64 y y))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 y y)) (-.f64 (.f64 x x) y))
(/.f64 (-.f64 (.f64 y y) (pow.f64 x #s(literal 4 binary64))) (-.f64 y (.f64 x x)))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (.f64 x x) (-.f64 (.f64 x x) y) (*.f64 y y)))
(fma.f64 (.f64 (neg.f64 x) #s(literal 1 binary64)) (.f64 (neg.f64 x) #s(literal 1 binary64)) y)
(fma.f64 (.f64 (fabs.f64 x) #s(literal 1 binary64)) (.f64 (fabs.f64 x) #s(literal 1 binary64)) y)
(fma.f64 (.f64 x #s(literal 1 binary64)) (.f64 x #s(literal 1 binary64)) y)
(fma.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (.f64 #s(literal 1 binary64) (neg.f64 x)) y)
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x) y)
(fma.f64 (.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 #s(literal 1 binary64) (fabs.f64 x)) y)
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (fabs.f64 x) y)
(fma.f64 (.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1 binary64) x) y)
(fma.f64 (*.f64 #s(literal 1 binary64) x) x y)
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) y)
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) y)
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) y)
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) y)
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1 binary64)) y)
(fma.f64 (neg.f64 x) (neg.f64 x) y)
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1 binary64)) y)
(fma.f64 (fabs.f64 x) (fabs.f64 x) y)
(fma.f64 #s(literal 1 binary64) (*.f64 x x) y)
(fma.f64 (*.f64 x x) #s(literal 1 binary64) y)
(fma.f64 x (*.f64 x #s(literal 1 binary64)) y)
(fma.f64 x x y)
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 x x) y)) (/.f64 (.f64 y y) (-.f64 (*.f64 x x) y)))
(-.f64 (/.f64 (.f64 y y) (-.f64 y (.f64 x x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 y (*.f64 x x))))
(-.f64 y (*.f64 (neg.f64 x) x))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 y (-.f64 y (.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y (.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (.f64 x x) (-.f64 (.f64 x x) y) (.f64 y y))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 x x) (-.f64 (.f64 x x) y) (.f64 y y))))
(+.f64 (*.f64 x x) y)
(+.f64 y (*.f64 x x))
#s(approx (+ (+ (* x x) y) y) (*.f64 #s(literal 2 binary64) y))
#s(approx (+ (+ (* x x) y) y) (+.f64 (fma.f64 x x y) y))
#s(approx (* x x) (*.f64 x x))
#s(approx x x)
#s(approx (+ (* x x) y) y)
#s(approx (+ (* x x) y) (fma.f64 x x y))
#s(approx (+ (+ (* x x) y) y) (*.f64 x x))
#s(approx (+ (+ (* x x) y) y) (.f64 (.f64 (fma.f64 (/.f64 y (*.f64 x x)) #s(literal 2 binary64) #s(literal 1 binary64)) x) x))
#s(approx (+ (* x x) y) (*.f64 x x))
#s(approx (+ (* x x) y) (.f64 (.f64 (-.f64 (/.f64 y (*.f64 x x)) #s(literal -1 binary64)) x) x))
#s(approx y y)
#s(approx (+ (+ (* x x) y) y) (*.f64 (fma.f64 x (/.f64 x y) #s(literal 2 binary64)) y))
#s(approx (+ (* x x) y) (fma.f64 (/.f64 (*.f64 x x) y) y y))
#s(approx (+ (+ (* x x) y) y) (.f64 (neg.f64 y) (-.f64 (/.f64 (.f64 (neg.f64 x) x) y) #s(literal 2 binary64))))
#s(approx (+ (* x x) y) (.f64 (neg.f64 y) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 x x) y) #s(literal -1 binary64))))

eval20.0ms (1.6%)

Memory: -7.7MiB live, 38.8MiB allocated; 3ms collecting garbage
Compiler: Compiled 3 185 to 472 computations (85.2% saved)

prune5.0ms (0.4%)

Memory

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

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	206	0	206
Fresh	0	0	0
Picked	0	4	4
Done	0	0	0
Total	206	4	210

Accuracy

100.0%

Counts

210 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 (fma.f64 x x y) y)
✓	56.9%	(+.f64 #s(approx (+ (* x x) y) (*.f64 x x)) y)
✓	53.8%	(+.f64 #s(approx (+ (* x x) y) y) y)
✓	49.1%	#s(approx (+ (+ (* x x) y) y) (*.f64 x x))

Compiler

Compiled 81 to 39 computations (51.9% saved)

regimes8.0ms (0.7%)

Memory

17.7MiB live, 17.7MiB allocated; 0ms collecting garbage

Counts

5 → 1

Calls

Call 1

Inputs
(+.f64 #s(approx (+ (* x x) y) y) y)
#s(approx (+ (+ (* x x) y) y) (*.f64 x x))
(+.f64 #s(approx (+ (* x x) y) (*.f64 x x)) y)
(+.f64 (fma.f64 x x y) y)
(+.f64 (+.f64 (*.f64 x x) y) y)

Outputs
(+.f64 (fma.f64 x x y) y)

Calls

4 calls:

2.0ms	y
2.0ms	x
2.0ms	(+.f64 (+.f64 (*.f64 x x) y) y)
2.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
100.0%	1	`(*.f64 x x)`
100.0%	1	`(+.f64 (+.f64 (*.f64 x x) y) y)`
100.0%	1	`x`
100.0%	1	`y`

Compiler

Compiled 12 to 12 computations (0% saved)

regimes7.0ms (0.6%)

Memory

-32.2MiB live, 14.9MiB allocated; 2ms collecting garbage

Counts

3 → 2

Calls

Call 1

Inputs
(+.f64 #s(approx (+ (* x x) y) y) y)
#s(approx (+ (+ (* x x) y) y) (*.f64 x x))
(+.f64 #s(approx (+ (* x x) y) (*.f64 x x)) y)

Outputs
(+.f64 #s(approx (+ (* x x) y) y) y)
(+.f64 #s(approx (+ (* x x) y) (*.f64 x x)) y)

Calls

4 calls:

2.0ms	y
2.0ms	x
1.0ms	(+.f64 (+.f64 (*.f64 x x) y) y)
1.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
91.8%	2	`(*.f64 x x)`
82.7%	2	`(+.f64 (+.f64 (*.f64 x x) y) y)`
91.8%	2	`x`
69.0%	3	`y`

Compiler

Compiled 12 to 12 computations (0% saved)

regimes3.0ms (0.2%)

Memory

6.2MiB live, 6.2MiB allocated; 0ms collecting garbage

Counts

2 → 2

Calls

Call 1

Inputs
(+.f64 #s(approx (+ (* x x) y) y) y)
#s(approx (+ (+ (* x x) y) y) (*.f64 x x))

Outputs
(+.f64 #s(approx (+ (* x x) y) y) y)
#s(approx (+ (+ (* x x) y) y) (*.f64 x x))

Calls

2 calls:

1.0ms	x
1.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
91.4%	2	`(*.f64 x x)`
91.4%	2	`x`

Compiler

Compiled 4 to 5 computations (-25% saved)

regimes4.0ms (0.3%)

Memory

11.8MiB live, 11.8MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(+.f64 #s(approx (+ (* x x) y) y) y)

Outputs
(+.f64 #s(approx (+ (* x x) y) y) y)

Calls

4 calls:

1.0ms	x
1.0ms	y
1.0ms	(+.f64 (+.f64 (*.f64 x x) y) y)
1.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
53.8%	1	`y`
53.8%	1	`(+.f64 (+.f64 (*.f64 x x) y) y)`
53.8%	1	`(*.f64 x x)`
53.8%	1	`x`

Compiler

Compiled 12 to 12 computations (0% saved)

bsearch2.0ms (0.1%)

Memory

2.4MiB live, 2.4MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.5564563253562626e+30	2.8241203511104947e+30

Samples

0.0ms

16×

valid

Compiler

Compiled 30 to 25 computations (16.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

adjust: 0.0ms (0% of total)

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

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

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	2.5564563253562626e+30	2.8241203511104947e+30

Compiler

Compiled 30 to 25 computations (16.7% saved)

derivations36.0ms (2.9%)

Memory

-10.5MiB live, 38.5MiB allocated; 11ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 63 to 17 computations (73% saved)

preprocess25.0ms (2%)

Memory: 0.9MiB live, 48.6MiB allocated; 4ms collecting garbage
Remove: (abs x)
Compiler: Compiled 280 to 122 computations (56.4% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample578.0ms (46.9%)

explain84.0ms (6.8%)

preprocess213.0ms (17.3%)

eval0.0ms (0%)

prune0.0ms (0%)

series4.0ms (0.3%)

rewrite102.0ms (8.2%)

eval16.0ms (1.3%)

prune4.0ms (0.3%)

series7.0ms (0.6%)

rewrite114.0ms (9.2%)

eval20.0ms (1.6%)

prune5.0ms (0.4%)

regimes8.0ms (0.7%)

regimes7.0ms (0.6%)

regimes3.0ms (0.2%)

regimes4.0ms (0.3%)

bsearch2.0ms (0.1%)

bsearch0.0ms (0%)

derivations36.0ms (2.9%)

preprocess25.0ms (2%)

end0.0ms (0%)

Profiling