Metrics for Examples.Basics.ProofTests:f4 from sbv-4.4

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory

1.1MiB live, 1.1MiB 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 15 to 11 computations (26.7% saved)

sample1.2s (39.5%)

Memory

-1.2MiB live, 1 564.4MiB allocated; 407ms collecting garbage

Samples

764.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 430.0ms

ival-mult: 342.0ms (79.6% of total)

ival-add: 72.0ms (16.8% of total)

ival-true: 6.0ms (1.4% of total)

exact: 5.0ms (1.2% of total)

ival-assert: 3.0ms (0.7% of total)

adjust: 2.0ms (0.5% of total)

Bogosity

explain239.0ms (8.1%)

Memory

-29.7MiB live, 323.3MiB allocated; 77ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
8	-	-	`(+.f64 (.f64 x x) (.f64 (*.f64 x #s(literal 2 binary64)) y))`
5	-	-	`(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x #s(literal 2 binary64)) y)) (.f64 y y))`
0	-	-	`(*.f64 x #s(literal 2 binary64))`
0	-	-	`(*.f64 x x)`
0	-	-	`(.f64 (.f64 x #s(literal 2 binary64)) y)`
0	-	-	`y`
0	-	-	`#s(literal 2 binary64)`
0	-	-	`(*.f64 y y)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`+.f64`	`(+.f64 (.f64 x x) (.f64 (*.f64 x #s(literal 2 binary64)) y))`	nan-rescue	8	0
↳	`(*.f64 x x)`	overflow	63
↳	`(.f64 (.f64 x #s(literal 2 binary64)) y)`	overflow	18
`+.f64`	`(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x #s(literal 2 binary64)) y)) (.f64 y y))`	nan-rescue	5	0
↳	`(+.f64 (.f64 x x) (.f64 (*.f64 x #s(literal 2 binary64)) y))`	overflow	69
↳	`(*.f64 x x)`	overflow	63
↳	`(.f64 (.f64 x #s(literal 2 binary64)) y)`	overflow	18
↳	`(*.f64 y y)`	overflow	60

Confusion

	Predicted +	Predicted -
+	9	0
-	0	247

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	9	0	0
-	0	0	247

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	247
1	5
2	4

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

61.0ms

512×

valid

Compiler

Compiled 95 to 31 computations (67.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-mult: 41.0ms (88.5% of total)

ival-add: 4.0ms (8.6% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

preprocess186.0ms (6.3%)

Memory

27.0MiB live, 214.1MiB allocated; 23ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	71
1	95	57
2	327	57
3	746	55
4	1554	55
5	4150	55
6	7270	55
0	9	13
0	15	13
1	38	11
2	132	11
3	393	11
4	886	11
5	2753	11
6	6453	11
0	8165	9

Stop Event

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

Calls

Call 1

Inputs
(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x #s(literal 2 binary64)) y)) (.f64 y y))

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

Symmetry

(sort x y)

Compiler

Compiled 13 to 9 computations (30.8% saved)

eval0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

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

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.5%	(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x #s(literal 2 binary64)) y)) (.f64 y y))

Compiler

Compiled 13 to 9 computations (30.8% saved)

series8.0ms (0.3%)

Memory

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

Counts

9 → 19

Calls

Call 1

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

Outputs
(pow y 2)
(+ (* 2 (* x y)) (pow y 2))
(+ (* x (+ x (* 2 y))) (pow y 2))
(* 2 (* x y))
(* x (+ x (* 2 y)))
(pow x 2)
x
(* 2 x)
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(* (pow x 2) (+ 1 (+ (* 2 (/ y x)) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 y) (* -1 (/ (pow y 2) x))) x))))
(+ (* 2 (* x y)) (pow x 2))
(+ (* y (+ y (* 2 x))) (pow x 2))
y
(* (pow y 2) (+ 1 (* 2 (/ x y))))
(* (pow y 2) (+ 1 (+ (* 2 (/ x y)) (/ (pow x 2) (pow y 2)))))
(* y (+ (* 2 x) (/ (pow x 2) y)))
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (pow x 2) y))) y))))
(* -1 (* y (+ (* -2 x) (* -1 (/ (pow x 2) y)))))

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	((+ (+ (* x x) (* (* x 2) y)) (* y y)) (+ (* x x) (* (* x 2) y)) (* x x) x (* (* x 2) y) (* x 2) 2 y (* y y))
1.0ms	x	@	-inf	((+ (+ (* x x) (* (* x 2) y)) (* y y)) (+ (* x x) (* (* x 2) y)) (* x x) x (* (* x 2) y) (* x 2) 2 y (* y y))
1.0ms	x	@	0	((+ (+ (* x x) (* (* x 2) y)) (* y y)) (+ (* x x) (* (* x 2) y)) (* x x) x (* (* x 2) y) (* x 2) 2 y (* y y))
1.0ms	y	@	0	((+ (+ (* x x) (* (* x 2) y)) (* y y)) (+ (* x x) (* (* x 2) y)) (* x x) x (* (* x 2) y) (* x 2) 2 y (* y y))
1.0ms	y	@	inf	((+ (+ (* x x) (* (* x 2) y)) (* y y)) (+ (* x x) (* (* x 2) y)) (* x x) x (* (* x 2) y) (* x 2) 2 y (* y y))

simplify180.0ms (6.1%)

Memory

11.5MiB live, 235.7MiB allocated; 48ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	171
1	194	163
2	786	155
3	3936	143
0	8226	132

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 17

Calls

Call 1

Inputs
(pow y 2)
(+ (* 2 (* x y)) (pow y 2))
(+ (* x (+ x (* 2 y))) (pow y 2))
(* 2 (* x y))
(* x (+ x (* 2 y)))
(pow x 2)
x
(* 2 x)
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(* (pow x 2) (+ 1 (+ (* 2 (/ y x)) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 y) (* -1 (/ (pow y 2) x))) x))))
(+ (* 2 (* x y)) (pow x 2))
(+ (* y (+ y (* 2 x))) (pow x 2))
y
(* (pow y 2) (+ 1 (* 2 (/ x y))))
(* (pow y 2) (+ 1 (+ (* 2 (/ x y)) (/ (pow x 2) (pow y 2)))))
(* y (+ (* 2 x) (/ (pow x 2) y)))
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (pow x 2) y))) y))))
(* -1 (* y (+ (* -2 x) (* -1 (/ (pow x 2) y)))))

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

rewrite76.0ms (2.6%)

Memory

-2.2MiB live, 103.4MiB allocated; 15ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	39
0	15	39
1	65	35
0	581	32

Stop Event

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

Counts

9 → 146

Calls

Call 1

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

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

eval21.0ms (0.7%)

Memory: -32.9MiB live, 57.1MiB allocated; 9ms collecting garbage
Compiler: Compiled 2 671 to 414 computations (84.5% saved)

prune4.0ms (0.1%)

Memory

18.3MiB live, 18.3MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	157	5	162
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	158	5	163

Accuracy

100.0%

Counts

163 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.7%	(fma.f64 y y (*.f64 x (fma.f64 y #s(literal 2 binary64) x)))
▶	98.0%	(fma.f64 x x (*.f64 y (fma.f64 #s(literal 2 binary64) x y)))
▶	57.0%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y))
▶	100.0%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (+.f64 y x) (+.f64 y x)))
▶	57.2%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 y y))

Compiler

Compiled 152 to 96 computations (36.8% saved)

series23.0ms (0.8%)

Memory

-26.6MiB live, 32.3MiB allocated; 23ms collecting garbage

Counts

16 → 38

Calls

Call 1

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

Outputs
(pow y 2)
(+ (* 2 (* x y)) (pow y 2))
(+ (* x (+ x (* 2 y))) (pow y 2))
y
(+ x y)
x
(+ y (* 2 x))
(* 2 (* x y))
(* x (+ x (* 2 y)))
(* 2 y)
(+ x (* 2 y))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(* (pow x 2) (+ 1 (+ (* 2 (/ y x)) (/ (pow y 2) (pow x 2)))))
(* x (+ 1 (/ y x)))
(* x (+ (* 2 y) (/ (pow y 2) x)))
(* 2 x)
(* x (+ 2 (/ y x)))
(* x (+ 1 (* 2 (/ y x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 y) (* -1 (/ (pow y 2) x))) x))))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (+ (* -2 y) (* -1 (/ (pow y 2) x)))))
(* -1 (* x (- (* -1 (/ y x)) 2)))
(* -1 (* x (- (* -2 (/ y x)) 1)))
(+ (* 2 (* x y)) (pow x 2))
(+ (* y (+ y (* 2 x))) (pow x 2))
(* y (+ y (* 2 x)))
(* (pow y 2) (+ 1 (* 2 (/ x y))))
(* (pow y 2) (+ 1 (+ (* 2 (/ x y)) (/ (pow x 2) (pow y 2)))))
(* y (+ 1 (/ x y)))
(* y (+ 1 (* 2 (/ x y))))
(* y (+ (* 2 x) (/ (pow x 2) y)))
(* y (+ 2 (/ x y)))
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (pow x 2) y))) y))))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -2 (/ x y)) 1)))
(* -1 (* y (+ (* -2 x) (* -1 (/ (pow x 2) y)))))
(* -1 (* y (- (* -1 (/ x y)) 2)))

Calls

6 calls:

Time	Variable		Point	Expression
16.0ms	y	@	-inf	((+ (+ (* x x) (* (* x 2) y)) (* y y)) (* (+ y x) (+ y x)) (+ y x) y x (+ (+ (* x x) (* (* x 2) y)) (* y y)) (* y y) (+ (+ (* x x) (* (* x 2) y)) (* y y)) (* (+ (* 2 x) y) y) (+ (* 2 x) y) 2 (+ (* x x) (* y (+ (* 2 x) y))) (* y (+ (* 2 x) y)) (+ (* y y) (* x (+ (* y 2) x))) (* x (+ (* y 2) x)) (+ (* y 2) x))
2.0ms	x	@	-inf	((+ (+ (* x x) (* (* x 2) y)) (* y y)) (* (+ y x) (+ y x)) (+ y x) y x (+ (+ (* x x) (* (* x 2) y)) (* y y)) (* y y) (+ (+ (* x x) (* (* x 2) y)) (* y y)) (* (+ (* 2 x) y) y) (+ (* 2 x) y) 2 (+ (* x x) (* y (+ (* 2 x) y))) (* y (+ (* 2 x) y)) (+ (* y y) (* x (+ (* y 2) x))) (* x (+ (* y 2) x)) (+ (* y 2) x))
1.0ms	y	@	inf	((+ (+ (* x x) (* (* x 2) y)) (* y y)) (* (+ y x) (+ y x)) (+ y x) y x (+ (+ (* x x) (* (* x 2) y)) (* y y)) (* y y) (+ (+ (* x x) (* (* x 2) y)) (* y y)) (* (+ (* 2 x) y) y) (+ (* 2 x) y) 2 (+ (* x x) (* y (+ (* 2 x) y))) (* y (+ (* 2 x) y)) (+ (* y y) (* x (+ (* y 2) x))) (* x (+ (* y 2) x)) (+ (* y 2) x))
1.0ms	x	@	inf	((+ (+ (* x x) (* (* x 2) y)) (* y y)) (* (+ y x) (+ y x)) (+ y x) y x (+ (+ (* x x) (* (* x 2) y)) (* y y)) (* y y) (+ (+ (* x x) (* (* x 2) y)) (* y y)) (* (+ (* 2 x) y) y) (+ (* 2 x) y) 2 (+ (* x x) (* y (+ (* 2 x) y))) (* y (+ (* 2 x) y)) (+ (* y y) (* x (+ (* y 2) x))) (* x (+ (* y 2) x)) (+ (* y 2) x))
1.0ms	x	@	0	((+ (+ (* x x) (* (* x 2) y)) (* y y)) (* (+ y x) (+ y x)) (+ y x) y x (+ (+ (* x x) (* (* x 2) y)) (* y y)) (* y y) (+ (+ (* x x) (* (* x 2) y)) (* y y)) (* (+ (* 2 x) y) y) (+ (* 2 x) y) 2 (+ (* x x) (* y (+ (* 2 x) y))) (* y (+ (* 2 x) y)) (+ (* y y) (* x (+ (* y 2) x))) (* x (+ (* y 2) x)) (+ (* y 2) x))

simplify223.0ms (7.6%)

Memory

23.6MiB live, 291.7MiB allocated; 59ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	93	322
1	317	314
2	1129	298
3	4605	298
0	8295	278

Stop Event

1×	iter limit
1×	node limit

Counts

38 → 36

Calls

Call 1

Inputs
(pow y 2)
(+ (* 2 (* x y)) (pow y 2))
(+ (* x (+ x (* 2 y))) (pow y 2))
y
(+ x y)
x
(+ y (* 2 x))
(* 2 (* x y))
(* x (+ x (* 2 y)))
(* 2 y)
(+ x (* 2 y))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(* (pow x 2) (+ 1 (+ (* 2 (/ y x)) (/ (pow y 2) (pow x 2)))))
(* x (+ 1 (/ y x)))
(* x (+ (* 2 y) (/ (pow y 2) x)))
(* 2 x)
(* x (+ 2 (/ y x)))
(* x (+ 1 (* 2 (/ y x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 y) (* -1 (/ (pow y 2) x))) x))))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (+ (* -2 y) (* -1 (/ (pow y 2) x)))))
(* -1 (* x (- (* -1 (/ y x)) 2)))
(* -1 (* x (- (* -2 (/ y x)) 1)))
(+ (* 2 (* x y)) (pow x 2))
(+ (* y (+ y (* 2 x))) (pow x 2))
(* y (+ y (* 2 x)))
(* (pow y 2) (+ 1 (* 2 (/ x y))))
(* (pow y 2) (+ 1 (+ (* 2 (/ x y)) (/ (pow x 2) (pow y 2)))))
(* y (+ 1 (/ x y)))
(* y (+ 1 (* 2 (/ x y))))
(* y (+ (* 2 x) (/ (pow x 2) y)))
(* y (+ 2 (/ x y)))
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (pow x 2) y))) y))))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -2 (/ x y)) 1)))
(* -1 (* y (+ (* -2 x) (* -1 (/ (pow x 2) y)))))
(* -1 (* y (- (* -1 (/ x y)) 2)))

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

rewrite115.0ms (3.9%)

Memory

-11.9MiB live, 92.5MiB allocated; 17ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	118
0	34	102
1	169	102
0	1447	102

Stop Event

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

Counts

16 → 401

Calls

Call 1

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

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

eval53.0ms (1.8%)

Memory: 21.0MiB live, 65.2MiB allocated; 8ms collecting garbage
Compiler: Compiled 7 363 to 884 computations (88% saved)

prune37.0ms (1.3%)

Memory

-14.1MiB live, 29.7MiB allocated; 8ms collecting garbage

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	350	1	351
Fresh	0	0	0
Picked	0	5	5
Done	0	0	0
Total	350	6	356

Accuracy

100.0%

Counts

356 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	97.7%	(fma.f64 y y (*.f64 x (fma.f64 y #s(literal 2 binary64) x)))
✓	98.0%	(fma.f64 x x (*.f64 y (fma.f64 #s(literal 2 binary64) x y)))
✓	57.0%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y))
✓	100.0%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (+.f64 y x) (+.f64 y x)))
✓	57.2%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 y y))
▶	53.5%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 x x))

Compiler

Compiled 93 to 59 computations (36.6% saved)

series2.0ms (0.1%)

Memory

5.5MiB live, 5.5MiB allocated; 0ms collecting garbage

Counts

3 → 13

Calls

Call 1

Inputs
#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 x x))
(*.f64 x x)
x

Outputs
(pow y 2)
(+ (* 2 (* x y)) (pow y 2))
(+ (* x (+ x (* 2 y))) (pow y 2))
(pow x 2)
x
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(* (pow x 2) (+ 1 (+ (* 2 (/ y x)) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 y) (* -1 (/ (pow y 2) x))) x))))
(+ (* 2 (* x y)) (pow x 2))
(+ (* y (+ y (* 2 x))) (pow x 2))
(* (pow y 2) (+ 1 (* 2 (/ x y))))
(* (pow y 2) (+ 1 (+ (* 2 (/ x y)) (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (pow x 2) y))) y))))

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	((+ (+ (* x x) (* (* x 2) y)) (* y y)) (* x x) x)
1.0ms	x	@	-inf	((+ (+ (* x x) (* (* x 2) y)) (* y y)) (* x x) x)
0.0ms	x	@	0	((+ (+ (* x x) (* (* x 2) y)) (* y y)) (* x x) x)
0.0ms	y	@	-inf	((+ (+ (* x x) (* (* x 2) y)) (* y y)) (* x x) x)
0.0ms	y	@	inf	((+ (+ (* x x) (* (* x 2) y)) (* y y)) (* x x) x)

simplify279.0ms (9.5%)

Memory

-18.6MiB live, 300.6MiB allocated; 119ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	143
1	172	133
2	684	125
3	3656	117
0	8400	109

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 12

Calls

Call 1

Inputs
(pow y 2)
(+ (* 2 (* x y)) (pow y 2))
(+ (* x (+ x (* 2 y))) (pow y 2))
(pow x 2)
x
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(* (pow x 2) (+ 1 (+ (* 2 (/ y x)) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 y) (* -1 (/ (pow y 2) x))) x))))
(+ (* 2 (* x y)) (pow x 2))
(+ (* y (+ y (* 2 x))) (pow x 2))
(* (pow y 2) (+ 1 (* 2 (/ x y))))
(* (pow y 2) (+ 1 (+ (* 2 (/ x y)) (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (pow x 2) y))) y))))

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

rewrite50.0ms (1.7%)

Memory

9.2MiB live, 102.0MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	21
0	12	21
1	62	19
0	578	17

Stop Event

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

Counts

3 → 17

Calls

Call 1

Inputs
#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 x x))
(*.f64 x x)
x

Outputs
#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 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 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) x)
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 x x)
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(neg.f64 (*.f64 x (neg.f64 x)))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
x

eval3.0ms (0.1%)

Memory: 13.3MiB live, 13.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 540 to 85 computations (84.3% saved)

prune6.0ms (0.2%)

Memory

-27.2MiB live, 15.1MiB allocated; 6ms collecting garbage

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	27	0	27
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	27	6	33

Accuracy

100.0%

Counts

33 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	97.7%	(fma.f64 y y (*.f64 x (fma.f64 y #s(literal 2 binary64) x)))
✓	98.0%	(fma.f64 x x (*.f64 y (fma.f64 #s(literal 2 binary64) x y)))
✓	57.0%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y))
✓	100.0%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (+.f64 y x) (+.f64 y x)))
✓	57.2%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 y y))
✓	53.5%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 x x))

Compiler

Compiled 199 to 88 computations (55.8% saved)

regimes16.0ms (0.5%)

Memory

-5.4MiB live, 55.4MiB allocated; 6ms collecting garbage

Counts

7 → 1

Calls

Call 1

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

Outputs
#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (+.f64 y x) (+.f64 y x)))

Calls

3 calls:

10.0ms	(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x #s(literal 2 binary64)) y)) (.f64 y y))
2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
100.0%	1	`(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x #s(literal 2 binary64)) y)) (.f64 y y))`
100.0%	1	`x`
100.0%	1	`y`

Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes4.0ms (0.1%)

Memory

14.7MiB live, 14.7MiB allocated; 0ms collecting garbage

Counts

2 → 2

Calls

Call 1

Inputs
#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 x x))
#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 y y))

Outputs
#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 x x))
#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 y y))

Calls

3 calls:

1.0ms	y
1.0ms	(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x #s(literal 2 binary64)) y)) (.f64 y y))
1.0ms	x

Results

Accuracy	Segments	Branch
60.6%	3	`(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x #s(literal 2 binary64)) y)) (.f64 y y))`
91.2%	2	`x`
89.9%	2	`y`

Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes3.0ms (0.1%)

Memory

11.5MiB live, 11.5MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 x x))

Outputs
#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 x x))

Calls

3 calls:

1.0ms	y
1.0ms	x
1.0ms	(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x #s(literal 2 binary64)) y)) (.f64 y y))

Results

Accuracy	Segments	Branch
53.5%	1	`(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x #s(literal 2 binary64)) y)) (.f64 y y))`
53.5%	1	`y`
53.5%	1	`x`

Compiler

Compiled 15 to 13 computations (13.3% saved)

bsearch29.0ms (1%)

Memory

-35.1MiB live, 11.3MiB allocated; 3ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
29.0ms	-5.166507236890066e-97	-4.478592972785059e-97

Samples

27.0ms

32×

valid

Compiler

Compiled 84 to 62 computations (26.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-mult: 26.0ms (98.9% of total)

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

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

simplify48.0ms (1.6%)

Memory

27.5MiB live, 72.8MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	19	76
1	42	68
2	135	68
3	399	68
4	951	68
5	4577	52

Stop Event

1×	node limit

Calls

Call 1

Inputs

#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (+.f64 y x) (+.f64 y x)))

(if (<=.f64 x #s(literal -2404907604760405/4809815209520810450717656262224562232065397860164239095208531909697964083434718092213655548692006303809402830848 binary64)) #s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 x x)) #s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 y y)))

#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 x x))

Outputs

#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (+.f64 y x) (+.f64 y x)))

(if (<=.f64 x #s(literal -2404907604760405/4809815209520810450717656262224562232065397860164239095208531909697964083434718092213655548692006303809402830848 binary64)) #s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 x x)) #s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 y y)))

#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 x x))

derivations142.0ms (4.8%)

Memory

-18.2MiB live, 123.1MiB allocated; 18ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 76 to 19 computations (75% saved)

preprocess32.0ms (1.1%)

Memory: -8.9MiB live, 36.4MiB allocated; 6ms collecting garbage
Remove: (sort x y)
Compiler: Compiled 246 to 98 computations (60.2% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample1.2s (39.5%)

explain239.0ms (8.1%)

preprocess186.0ms (6.3%)

eval0.0ms (0%)

prune0.0ms (0%)

series8.0ms (0.3%)

simplify180.0ms (6.1%)

rewrite76.0ms (2.6%)

eval21.0ms (0.7%)

prune4.0ms (0.1%)

series23.0ms (0.8%)

simplify223.0ms (7.6%)

rewrite115.0ms (3.9%)

eval53.0ms (1.8%)

prune37.0ms (1.3%)

series2.0ms (0.1%)

simplify279.0ms (9.5%)

rewrite50.0ms (1.7%)

eval3.0ms (0.1%)

prune6.0ms (0.2%)

regimes16.0ms (0.5%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

bsearch29.0ms (1%)

simplify48.0ms (1.6%)

derivations142.0ms (4.8%)

preprocess32.0ms (1.1%)

end0.0ms (0%)

Profiling