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

start0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory

0.8MiB live, 0.8MiB 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)

sample848.0ms (45.2%)

Memory

34.6MiB live, 1 131.5MiB allocated; 151ms collecting garbage

Samples

567.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 306.0ms

ival-mult: 175.0ms (57.1% of total)

ival-add: 126.0ms (41.1% of total)

ival-assert: 3.0ms (1% of total)

adjust: 2.0ms (0.7% of total)

Bogosity

explain115.0ms (6.1%)

Memory

8.3MiB live, 99.2MiB allocated; 15ms 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

49.0ms

512×

valid

Compiler

Compiled 45 to 19 computations (57.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-add: 31.0ms (86% of total)

ival-mult: 4.0ms (11.1% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess238.0ms (12.7%)

Memory

-7.5MiB live, 187.6MiB allocated; 34ms 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: 0.1MiB live, 0.1MiB 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 (0.2%)

Memory

9.2MiB live, 9.2MiB 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)

rewrite109.0ms (5.8%)

Memory

-12.5MiB live, 175.7MiB allocated; 25ms 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))))

eval17.0ms (0.9%)

Memory: 3.9MiB live, 47.8MiB allocated; 6ms collecting garbage
Compiler: Compiled 1 742 to 371 computations (78.7% saved)

prune5.0ms (0.3%)

Memory

21.1MiB live, 21.1MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	132	5	137
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	133	5	138

Accuracy

100.0%

Counts

138 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 x x (*.f64 #s(literal 2 binary64) y))
▶	100.0%	(+.f64 (fma.f64 x x y) y)
▶	57.8%	(+.f64 #s(approx (+ (* x x) y) (*.f64 x x)) y)
▶	51.4%	(+.f64 #s(approx (+ (* x x) y) y) y)
▶	50.3%	#s(approx (+ (+ (* x x) y) y) (*.f64 x x))

Compiler

Compiled 86 to 58 computations (32.6% saved)

series28.0ms (1.5%)

Memory

-24.1MiB live, 18.8MiB allocated; 25ms collecting garbage

Counts

13 → 22

Calls

Call 1

Inputs
(fma.f64 x x (*.f64 #s(literal 2 binary64) y))
x
(*.f64 #s(literal 2 binary64) y)
#s(literal 2 binary64)
y
(+.f64 #s(approx (+ (* x x) y) y) y)
#s(approx (+ (* x x) y) y)
#s(approx (+ (+ (* x x) y) y) (*.f64 x x))
(*.f64 x x)
(+.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) (* 2 y)) #s(hole binary64 (* 2 y)))
#s(approx (+ (* x x) (* 2 y)) #s(hole binary64 (+ (* 2 y) (pow x 2))))
#s(approx x #s(hole binary64 x))
#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 x) (* 2 y)) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) (* 2 y)) #s(hole binary64 (* (pow x 2) (+ 1 (* 2 (/ 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 (* 2 y) #s(hole binary64 (* 2 y)))
#s(approx y #s(hole binary64 y))
#s(approx (+ (* x x) (* 2 y)) #s(hole binary64 (* y (+ 2 (/ (pow x 2) 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) (* 2 y)) #s(hole binary64 (* -1 (* y (- (* -1 (/ (pow x 2) y)) 2)))))
#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
23.0ms	x	@	inf	((+ (* x x) (* 2 y)) x (* 2 y) 2 y (+ (+ (* x x) y) y) (+ (* x x) y) (+ (+ (* x x) y) y) (* x x) (+ (+ (* x x) y) y) (+ (* x x) y) (+ (+ (* x x) y) y) (+ (* x x) y))
1.0ms	x	@	-inf	((+ (* x x) (* 2 y)) x (* 2 y) 2 y (+ (+ (* x x) y) y) (+ (* x x) y) (+ (+ (* x x) y) y) (* x x) (+ (+ (* x x) y) y) (+ (* x x) y) (+ (+ (* x x) y) y) (+ (* x x) y))
1.0ms	y	@	-inf	((+ (* x x) (* 2 y)) x (* 2 y) 2 y (+ (+ (* x x) y) y) (+ (* x x) y) (+ (+ (* x x) y) y) (* x x) (+ (+ (* x x) y) y) (+ (* x x) y) (+ (+ (* x x) y) y) (+ (* x x) y))
1.0ms	y	@	inf	((+ (* x x) (* 2 y)) x (* 2 y) 2 y (+ (+ (* x x) y) y) (+ (* x x) y) (+ (+ (* x x) y) y) (* x x) (+ (+ (* x x) y) y) (+ (* x x) y) (+ (+ (* x x) y) y) (+ (* x x) y))
1.0ms	y	@	0	((+ (* x x) (* 2 y)) x (* 2 y) 2 y (+ (+ (* x x) y) y) (+ (* x x) y) (+ (+ (* x x) y) y) (* x x) (+ (+ (* x x) y) y) (+ (* x x) y) (+ (+ (* x x) y) y) (+ (* x x) y))

rewrite118.0ms (6.3%)

Memory

52.7MiB live, 175.5MiB allocated; 46ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	339
0	69	330
1	280	330
0	2298	325

Stop Event

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

Counts

35 → 225

Calls

Call 1

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

eval64.0ms (3.4%)

Memory: -30.4MiB live, 85.7MiB allocated; 44ms collecting garbage
Compiler: Compiled 3 419 to 506 computations (85.2% saved)

prune7.0ms (0.4%)

Memory

-20.4MiB live, 26.7MiB allocated; 2ms collecting garbage

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	223	1	224
Fresh	0	0	0
Picked	2	3	5
Done	0	0	0
Total	225	4	229

Accuracy

100.0%

Counts

229 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 x x (+.f64 y y))
✓	57.8%	(+.f64 #s(approx (+ (* x x) y) (*.f64 x x)) y)
✓	51.4%	(+.f64 #s(approx (+ (* x x) y) y) y)
✓	50.3%	#s(approx (+ (+ (* x x) y) y) (*.f64 x x))

Compiler

Compiled 37 to 24 computations (35.1% saved)

series3.0ms (0.1%)

Memory

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

Counts

4 → 9

Calls

Call 1

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

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	((+ (* x x) (+ y y)) x (+ y y) y)
0.0ms	x	@	-inf	((+ (* x x) (+ y y)) x (+ y y) y)
0.0ms	y	@	inf	((+ (* x x) (+ y y)) x (+ y y) y)
0.0ms	x	@	inf	((+ (* x x) (+ y y)) x (+ y y) y)
0.0ms	x	@	0	((+ (* x x) (+ y y)) x (+ y y) y)

rewrite28.0ms (1.5%)

Memory

21.3MiB live, 68.7MiB allocated; 1ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	114
0	34	111
0	164	110

Stop Event

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

Counts

13 → 29

Calls

Call 1

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

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

eval54.0ms (2.9%)

Memory: -46.9MiB live, 21.2MiB allocated; 76ms collecting garbage
Compiler: Compiled 389 to 83 computations (78.7% saved)

prune3.0ms (0.2%)

Memory

11.6MiB live, 11.6MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	33	0	33
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	33	4	37

Accuracy

100.0%

Counts

37 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 x x (+.f64 y y))
✓	57.8%	(+.f64 #s(approx (+ (* x x) y) (*.f64 x x)) y)
✓	51.4%	(+.f64 #s(approx (+ (* x x) y) y) y)
✓	50.3%	#s(approx (+ (+ (* x x) y) y) (*.f64 x x))

Compiler

Compiled 93 to 44 computations (52.7% saved)

regimes16.0ms (0.9%)

Memory

-9.2MiB live, 37.9MiB allocated; 8ms collecting garbage

Counts

7 → 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)
(fma.f64 x x (+.f64 y y))
(+.f64 (+.f64 (*.f64 x x) y) y)
(fma.f64 x x (*.f64 #s(literal 2 binary64) y))

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

Calls

4 calls:

8.0ms	x
3.0ms	y
3.0ms	(+.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)

regimes21.0ms (1.1%)

Memory

-4.5MiB live, 33.5MiB allocated; 13ms collecting garbage

Counts

4 → 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)

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

Calls

4 calls:

14.0ms	(*.f64 x x)
2.0ms	x
2.0ms	y
2.0ms	(+.f64 (+.f64 (*.f64 x x) y) y)

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 (0.3%)

Memory

23.4MiB live, 23.4MiB allocated; 0ms 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
87.5%	2	`(*.f64 x x)`
82.4%	2	`(+.f64 (+.f64 (*.f64 x x) y) y)`
87.5%	2	`x`
67.7%	3	`y`

Compiler

Compiled 12 to 12 computations (0% saved)

regimes3.0ms (0.1%)

Memory

11.3MiB live, 11.3MiB 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
87.2%	2	`(*.f64 x x)`
87.2%	2	`x`

Compiler

Compiled 4 to 5 computations (-25% saved)

regimes16.0ms (0.9%)

Memory

-23.0MiB live, 19.3MiB allocated; 12ms 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:

13.0ms	(*.f64 x x)
1.0ms	(+.f64 (+.f64 (*.f64 x x) y) y)
1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
51.4%	1	`y`
51.4%	1	`(+.f64 (+.f64 (*.f64 x x) y) y)`
51.4%	1	`(*.f64 x x)`
51.4%	1	`x`

Compiler

Compiled 12 to 12 computations (0% saved)

bsearch11.0ms (0.6%)

Memory

35.8MiB live, 35.8MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	4.141130753339036e+55	7.484714566620316e+59

Samples

5.0ms

128×

valid

Compiler

Compiled 170 to 130 computations (23.5% saved)

Precisions

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

ival-add: 1.0ms (42% of total)

ival-mult: 1.0ms (42% of total)

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

adjust: 0.0ms (0% of total)

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

bsearch23.0ms (1.2%)

Memory

-54.1MiB live, 2.6MiB allocated; 25ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
22.0ms	4.141130753339036e+55	7.484714566620316e+59

Compiler

Compiled 170 to 130 computations (23.5% saved)

simplify53.0ms (2.8%)

Memory

27.2MiB live, 75.3MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	69
1	27	69
2	49	69
3	93	69
4	129	69
5	172	69
6	322	69
7	1509	69
8	5885	69

Stop Event

1×	node limit

Calls

Call 1

Inputs
(fma.f64 x x (+.f64 y y))
(+.f64 (fma.f64 x x y) y)
(if (<=.f64 x #s(literal 42000000000000001246550495467411460596577488004607639552 binary64)) (+.f64 #s(approx (+ (* x x) y) y) y) (+.f64 #s(approx (+ (* x x) y) (*.f64 x x)) y))
(if (<=.f64 x #s(literal 42000000000000001246550495467411460596577488004607639552 binary64)) (+.f64 #s(approx (+ (* x x) y) y) y) #s(approx (+ (+ (* x x) y) y) (*.f64 x x)))
(+.f64 #s(approx (+ (* x x) y) y) y)

Outputs
(fma.f64 x x (+.f64 y y))
(+.f64 (fma.f64 x x y) y)
(if (<=.f64 x #s(literal 42000000000000001246550495467411460596577488004607639552 binary64)) (+.f64 #s(approx (+ (* x x) y) y) y) (+.f64 #s(approx (+ (* x x) y) (*.f64 x x)) y))
(if (<=.f64 x #s(literal 42000000000000001246550495467411460596577488004607639552 binary64)) (+.f64 #s(approx (+ (* x x) y) y) y) #s(approx (+ (+ (* x x) y) y) (*.f64 x x)))
(+.f64 #s(approx (+ (* x x) y) y) y)

derivations45.0ms (2.4%)

Memory

2.9MiB live, 97.6MiB allocated; 3ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 69 to 19 computations (72.5% saved)

preprocess42.0ms (2.2%)

Memory: -26.0MiB live, 66.8MiB allocated; 21ms collecting garbage
Remove: (abs x)
Compiler: Compiled 178 to 66 computations (62.9% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample848.0ms (45.2%)

explain115.0ms (6.1%)

preprocess238.0ms (12.7%)

eval0.0ms (0%)

prune0.0ms (0%)

series4.0ms (0.2%)

rewrite109.0ms (5.8%)

eval17.0ms (0.9%)

prune5.0ms (0.3%)

series28.0ms (1.5%)

rewrite118.0ms (6.3%)

eval64.0ms (3.4%)

prune7.0ms (0.4%)

series3.0ms (0.1%)

rewrite28.0ms (1.5%)

eval54.0ms (2.9%)

prune3.0ms (0.2%)

regimes16.0ms (0.9%)

regimes21.0ms (1.1%)

regimes7.0ms (0.3%)

regimes3.0ms (0.1%)

regimes16.0ms (0.9%)

bsearch11.0ms (0.6%)

bsearch23.0ms (1.2%)

simplify53.0ms (2.8%)

derivations45.0ms (2.4%)

preprocess42.0ms (2.2%)

end0.0ms (0%)

Profiling