Metrics for Numeric.Log:$clog1p from log-domain-0.10.2.1, A

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.3MiB live, 0.3MiB 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 13 to 10 computations (23.1% saved)

sample2.9s (44.9%)

Memory

-41.9MiB live, 1 668.8MiB allocated; 2.7s collecting garbage

Samples

2.5s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 872.0ms

ival-mult: 746.0ms (85.5% of total)

ival-add: 109.0ms (12.5% of total)

ival-true: 6.0ms (0.7% of total)

exact: 5.0ms (0.6% of total)

ival-assert: 4.0ms (0.5% of total)

adjust: 3.0ms (0.3% of total)

Bogosity

explain261.0ms (4.1%)

Memory

-14.1MiB live, 223.6MiB allocated; 34ms collecting garbage

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))`
-	-	`(*.f64 x #s(literal 2 binary64))`
-	-	`#s(literal 2 binary64)`
-	-	`y`
-	-	`(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))`
-	-	`(*.f64 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

61.0ms

512×

valid

Compiler

Compiled 75 to 28 computations (62.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-add: 30.0ms (68.7% of total)

ival-mult: 12.0ms (27.5% 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)

preprocess318.0ms (4.9%)

Memory

4.9MiB live, 242.0MiB allocated; 41ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	51
1	82	49
2	292	46
3	675	45
4	1633	45
5	3776	45
6	7216	45
0	8	11
0	13	9
1	34	9
2	115	9
3	300	9
4	611	9
5	1575	9
6	5136	9
0	8041	8

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs y)

Compiler

Compiled 11 to 8 computations (27.3% 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
▶	100.0%	(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify208.0ms (3.2%)

Memory

-17.4MiB live, 171.6MiB allocated; 21ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x x)
cost-diff	0	(*.f64 x #s(literal 2 binary64))
cost-diff	1	(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))
cost-diff	2	(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	30
0	13	26
1	34	26
2	115	26
3	300	26
4	611	26
5	1575	26
6	5136	26
0	8041	25

Stop Event

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

Calls

Call 1

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

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

localize24.0ms (0.4%)

Memory

0.5MiB live, 45.9MiB allocated; 4ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))
accuracy	0.0	(*.f64 y y)
accuracy	0.0	(*.f64 x x)
accuracy	0.0	(*.f64 x #s(literal 2 binary64))

Samples

14.0ms

256×

valid

Compiler

Compiled 32 to 10 computations (68.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-mult: 5.0ms (67.1% of total)

ival-add: 2.0ms (26.8% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

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

Counts

5 → 12

Calls

Call 1

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

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

Calls

6 calls:

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

simplify446.0ms (6.9%)

Memory

-12.6MiB live, 158.7MiB allocated; 302ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	104
1	109	98
2	433	94
3	2650	90
0	8445	82

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 12

Calls

Call 1

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

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

rewrite82.0ms (1.3%)

Memory

-12.3MiB live, 129.9MiB allocated; 32ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	27
0	13	23
1	61	23
0	569	22

Stop Event

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

Counts

5 → 125

Calls

Call 1

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

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

eval18.0ms (0.3%)

Memory: -13.1MiB live, 32.2MiB allocated; 7ms collecting garbage
Compiler: Compiled 2 034 to 346 computations (83% saved)

prune4.0ms (0.1%)

Memory

14.9MiB live, 14.9MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	129	5	134
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	130	5	135

Accuracy

100.0%

Counts

135 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (+.f64 #s(literal 2 binary64) x) x (*.f64 y y))
▶	100.0%	(fma.f64 x x (fma.f64 #s(literal 2 binary64) x (*.f64 y y)))
▶	67.6%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 #s(literal 2 binary64) x (*.f64 y y)))
▶	61.7%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (-.f64 x #s(literal -2 binary64)) x))
▶	45.5%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))

Compiler

Compiled 134 to 92 computations (31.3% saved)

simplify175.0ms (2.7%)

Memory

12.8MiB live, 231.0MiB allocated; 54ms collecting garbage

Localize:

Found 14 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 y y)
cost-diff	0	(+.f64 #s(literal 2 binary64) x)
cost-diff	0	(fma.f64 (+.f64 #s(literal 2 binary64) x) x (*.f64 y y))
cost-diff	0	(*.f64 y y)
cost-diff	0	(fma.f64 #s(literal 2 binary64) x (*.f64 y y))
cost-diff	0	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 #s(literal 2 binary64) x (*.f64 y y)))
cost-diff	0	(-.f64 x #s(literal -2 binary64))
cost-diff	0	(*.f64 (-.f64 x #s(literal -2 binary64)) x)
cost-diff	0	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (-.f64 x #s(literal -2 binary64)) x))
cost-diff	0	(*.f64 y y)
cost-diff	0	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
cost-diff	0	(*.f64 y y)
cost-diff	0	(fma.f64 #s(literal 2 binary64) x (*.f64 y y))
cost-diff	1	(fma.f64 x x (fma.f64 #s(literal 2 binary64) x (*.f64 y y)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	114
0	28	104
1	60	104
2	161	104
3	386	104
4	717	104
5	1768	104
6	5365	104
0	8095	104

Stop Event

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

Calls

Call 1

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

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

localize176.0ms (2.7%)

Memory

-19.0MiB live, 138.0MiB allocated; 38ms collecting garbage

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 #s(literal 2 binary64) x)
accuracy	0.0	(*.f64 y y)
accuracy	0.00390625	(fma.f64 (+.f64 #s(literal 2 binary64) x) x (*.f64 y y))
accuracy	0.0	(*.f64 y y)
accuracy	0.00390625	(fma.f64 #s(literal 2 binary64) x (*.f64 y y))
accuracy	20.72228217763839	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 #s(literal 2 binary64) x (*.f64 y y)))
accuracy	0.0	(-.f64 x #s(literal -2 binary64))
accuracy	0.0078125	(*.f64 (-.f64 x #s(literal -2 binary64)) x)
accuracy	24.52209591878541	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (-.f64 x #s(literal -2 binary64)) x))
accuracy	0.0	(*.f64 y y)
accuracy	34.85262042701647	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
accuracy	0.0	(fma.f64 x x (fma.f64 #s(literal 2 binary64) x (*.f64 y y)))
accuracy	0.0	(*.f64 y y)
accuracy	0.00390625	(fma.f64 #s(literal 2 binary64) x (*.f64 y y))

Samples

133.0ms

256×

valid

Compiler

Compiled 104 to 19 computations (81.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 120.0ms

ival-mult: 103.0ms (85.5% of total)

ival-sub: 11.0ms (9.1% of total)

ival-add: 6.0ms (5% 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)

series5.0ms (0.1%)

Memory

19.7MiB live, 19.6MiB allocated; 0ms collecting garbage

Counts

10 → 20

Calls

Call 1

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

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

Calls

6 calls:

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

simplify242.0ms (3.8%)

Memory

-6.6MiB live, 339.7MiB allocated; 59ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	144
1	153	132
2	581	132
3	3485	132
0	8243	122

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 19

Calls

Call 1

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

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

rewrite87.0ms (1.3%)

Memory

-14.7MiB live, 79.7MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	87
0	28	77
1	148	77
0	1128	77

Stop Event

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

Counts

10 → 198

Calls

Call 1

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

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

eval36.0ms (0.6%)

Memory: -2.5MiB live, 47.1MiB allocated; 7ms collecting garbage
Compiler: Compiled 4 057 to 502 computations (87.6% saved)

prune5.0ms (0.1%)

Memory

17.5MiB live, 17.5MiB allocated; 0ms collecting garbage

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	221	4	225
Fresh	0	0	0
Picked	1	4	5
Done	0	0	0
Total	222	8	230

Accuracy

100.0%

Counts

230 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (+.f64 #s(literal 2 binary64) x) x (*.f64 y y))
▶	100.0%	(fma.f64 x x (+.f64 (fma.f64 y y x) x))
✓	67.6%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 #s(literal 2 binary64) x (*.f64 y y)))
▶	67.6%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 (fma.f64 y y x) x))
✓	61.7%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (-.f64 x #s(literal -2 binary64)) x))
▶	25.0%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 #s(approx (- x -2) #s(literal 2 binary64)) x))
✓	45.5%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
▶	39.3%	#s(approx (+ (* x x) (+ (* 2 x) (* y y))) (*.f64 x x))

Compiler

Compiled 119 to 80 computations (32.8% saved)

simplify120.0ms (1.9%)

Memory

22.0MiB live, 156.9MiB allocated; 13ms collecting garbage

Localize:

Found 11 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 y y x)
cost-diff	0	(+.f64 (fma.f64 y y x) x)
cost-diff	1	(fma.f64 x x (+.f64 (fma.f64 y y x) x))
cost-diff	0	(fma.f64 y y x)
cost-diff	0	(+.f64 (fma.f64 y y x) x)
cost-diff	0	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 (fma.f64 y y x) x))
cost-diff	0	#s(approx (- x -2) #s(literal 2 binary64))
cost-diff	0	(*.f64 #s(approx (- x -2) #s(literal 2 binary64)) x)
cost-diff	0	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 #s(approx (- x -2) #s(literal 2 binary64)) x))
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (+ (* x x) (+ (* 2 x) (* y y))) (*.f64 x x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	103
0	27	97
1	63	97
2	167	97
3	379	97
4	707	97
5	1740	97
6	5607	97
0	8390	93

Stop Event

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

Calls

Call 1

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

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

localize78.0ms (1.2%)

Memory

-19.3MiB live, 84.1MiB allocated; 10ms collecting garbage

Localize:

Found 11 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 y y x)
accuracy	0.0	(fma.f64 x x (+.f64 (fma.f64 y y x) x))
accuracy	0.01953125	(+.f64 (fma.f64 y y x) x)
accuracy	0.0	(fma.f64 y y x)
accuracy	0.01953125	(+.f64 (fma.f64 y y x) x)
accuracy	20.72228217763839	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 (fma.f64 y y x) x))
accuracy	0.0078125	(*.f64 #s(approx (- x -2) #s(literal 2 binary64)) x)
accuracy	24.52209591878541	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 #s(approx (- x -2) #s(literal 2 binary64)) x))
accuracy	31.792241666160994	#s(approx (- x -2) #s(literal 2 binary64))
accuracy	0.0	(*.f64 x x)
accuracy	38.82449195606527	#s(approx (+ (* x x) (+ (* 2 x) (* y y))) (*.f64 x x))

Samples

32.0ms

256×

valid

Compiler

Compiled 88 to 19 computations (78.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-mult: 8.0ms (47.1% of total)

ival-add: 7.0ms (41.2% of total)

ival-sub: 1.0ms (5.9% 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)

series4.0ms (0.1%)

Memory

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

Counts

9 → 23

Calls

Call 1

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

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

Calls

6 calls:

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

simplify186.0ms (2.9%)

Memory

10.4MiB live, 234.6MiB allocated; 54ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	149
1	165	143
2	600	143
3	3392	143
0	8283	130

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 22

Calls

Call 1

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

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

rewrite55.0ms (0.9%)

Memory

17.0MiB live, 62.7MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	86
0	27	80
1	159	80
0	1333	76

Stop Event

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

Counts

9 → 147

Calls

Call 1

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

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

eval36.0ms (0.6%)

Memory: -14.5MiB live, 40.6MiB allocated; 17ms collecting garbage
Compiler: Compiled 4 529 to 523 computations (88.5% saved)

prune30.0ms (0.5%)

Memory

-27.2MiB live, 18.8MiB allocated; 6ms collecting garbage

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	223	0	223
Fresh	0	0	0
Picked	0	4	4
Done	0	4	4
Total	223	8	231

Accuracy

100.0%

Counts

231 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (+.f64 #s(literal 2 binary64) x) x (*.f64 y y))
✓	100.0%	(fma.f64 x x (+.f64 (fma.f64 y y x) x))
✓	67.6%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 #s(literal 2 binary64) x (*.f64 y y)))
✓	67.6%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 (fma.f64 y y x) x))
✓	61.7%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (-.f64 x #s(literal -2 binary64)) x))
✓	25.0%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 #s(approx (- x -2) #s(literal 2 binary64)) x))
✓	45.5%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
✓	39.3%	#s(approx (+ (* x x) (+ (* 2 x) (* y y))) (*.f64 x x))

Compiler

Compiled 258 to 117 computations (54.7% saved)

regimes17.0ms (0.3%)

Memory

26.4MiB live, 26.4MiB allocated; 0ms collecting garbage

Counts

10 → 1

Calls

Call 1

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

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

Calls

5 calls:

3.0ms	(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))
3.0ms	x
3.0ms	(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))
3.0ms	y
3.0ms	(*.f64 y y)

Results

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

Compiler

Compiled 23 to 21 computations (8.7% saved)

regimes30.0ms (0.5%)

Memory

-18.3MiB live, 26.7MiB allocated; 6ms collecting garbage

Counts

8 → 1

Calls

Call 1

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

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

Calls

5 calls:

19.0ms	(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))
3.0ms	x
3.0ms	y
3.0ms	(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))
2.0ms	(*.f64 y y)

Results

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

Compiler

Compiled 23 to 21 computations (8.7% saved)

regimes12.0ms (0.2%)

Memory

22.7MiB live, 22.7MiB allocated; 0ms collecting garbage

Counts

6 → 4

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
86.9%	2	`(*.f64 y y)`
91.3%	4	`(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))`
72.3%	3	`(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))`
88.8%	3	`x`
86.9%	2	`y`

Compiler

Compiled 23 to 21 computations (8.7% saved)

regimes3.0ms (0%)

Memory

4.9MiB live, 4.9MiB allocated; 0ms collecting garbage

Counts

5 → 4

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
91.2%	4	`(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes23.0ms (0.4%)

Memory

-28.2MiB live, 15.8MiB allocated; 10ms collecting garbage

Counts

4 → 2

Calls

Call 1

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

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

Calls

4 calls:

17.0ms	y
2.0ms	(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))
2.0ms	x
2.0ms	(*.f64 y y)

Results

Accuracy	Segments	Branch
86.9%	2	`(*.f64 y y)`
86.9%	2	`y`
68.5%	3	`x`
71.5%	5	`(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))`

Compiler

Compiled 12 to 13 computations (-8.3% saved)

regimes5.0ms (0.1%)

Memory

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

Counts

3 → 3

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

Calls

3 calls:

2.0ms	y
2.0ms	(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))
1.0ms	(*.f64 y y)

Results

Accuracy	Segments	Branch
66.6%	3	`(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))`
72.1%	3	`(*.f64 y y)`
72.1%	3	`y`

Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes5.0ms (0.1%)

Memory

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

Counts

2 → 4

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
69.1%	4	`(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))`
66.5%	3	`x`
64.6%	2	`(*.f64 y y)`
64.6%	2	`y`

Compiler

Compiled 12 to 13 computations (-8.3% saved)

regimes5.0ms (0.1%)

Memory

12.8MiB live, 12.8MiB 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) (+ (* 2 x) (* y y))) (*.f64 x x))

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
39.3%	1	`(*.f64 y y)`
39.3%	1	`y`
39.3%	1	`x`
39.3%	1	`(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))`
39.3%	1	`(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))`

Compiler

Compiled 23 to 21 computations (8.7% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated; 0ms collecting garbage

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1.9998907349687892e+241	3.8334363854394895e+246
0.0ms	2.864211019822896e+160	7.004833717501962e+161
0.0ms	4.496237421791639e+19	9.055343211261715e+20

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated; 0ms collecting garbage

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1.9998907349687892e+241	3.8334363854394895e+246
0.0ms	2.864211019822896e+160	7.004833717501962e+161
0.0ms	4.496237421791639e+19	9.055343211261715e+20

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch24.0ms (0.4%)

Memory

-42.9MiB live, 7.9MiB allocated; 17ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
23.0ms	5.360700710703665e+34	6.447518578902849e+34

Samples

21.0ms

48×

valid

Compiler

Compiled 110 to 85 computations (22.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-mult: 19.0ms (94.8% 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)

bsearch11.0ms (0.2%)

Memory

17.3MiB live, 17.3MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	5.360700710703665e+34	6.447518578902849e+34
10.0ms	2.448180497508485e-107	7.80907146554535e-106

Samples

6.0ms

112×

valid

Compiler

Compiled 342 to 261 computations (23.7% saved)

Precisions

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

ival-mult: 2.0ms (62.1% of total)

ival-add: 1.0ms (31% 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)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated; 0ms collecting garbage

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1.9998907349687892e+241	3.8334363854394895e+246
0.0ms	2.864211019822896e+160	7.004833717501962e+161
0.0ms	4.496237421791639e+19	9.055343211261715e+20

Compiler

Compiled 14 to 13 computations (7.1% saved)

simplify82.0ms (1.3%)

Memory

6.2MiB live, 50.3MiB allocated; 16ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	52	357
1	87	345
2	193	345
3	410	345
4	785	345
5	3194	345

Stop Event

1×	node limit

Calls

Call 1

Inputs
(fma.f64 x x (fma.f64 #s(literal 2 binary64) x (*.f64 y y)))
(fma.f64 (+.f64 #s(literal 2 binary64) x) x (*.f64 y y))
(if (<=.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) #s(literal 50000000000000000000 binary64)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 #s(literal 2 binary64) x (.f64 y y))) (if (<=.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) #s(literal 50000000000000001887294662411407443533081825641014488466543294060088134318769385525237556959827145239234763882681864505882216148946029099504910582896334060126208 binary64)) #s(approx (+ (+ ( x 2) (* x x)) (* y y)) (.f64 (-.f64 x #s(literal -2 binary64)) x)) (if (<=.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) #s(literal 20000000000000001019220591274005456279710505470622733232619203286613548419128326636838181727778134043521316213363512555228359822654904417182365028760483854715262087764856296628876189602931571523608705123012237845488278935519238250121771614208 binary64)) #s(approx (+ (+ ( x 2) (* x x)) (* y y)) (.f64 y y)) #s(approx (+ ( x x) (+ (* 2 x) (* y y))) (*.f64 x x)))))
(if (<=.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) #s(literal 50000000000000000000 binary64)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 (fma.f64 y y x) x)) (if (<=.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) #s(literal 50000000000000001887294662411407443533081825641014488466543294060088134318769385525237556959827145239234763882681864505882216148946029099504910582896334060126208 binary64)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (.f64 (-.f64 x #s(literal -2 binary64)) x)) (if (<=.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) #s(literal 20000000000000001019220591274005456279710505470622733232619203286613548419128326636838181727778134043521316213363512555228359822654904417182365028760483854715262087764856296628876189602931571523608705123012237845488278935519238250121771614208 binary64)) #s(approx (+ (+ ( x 2) (* x x)) (* y y)) (.f64 y y)) #s(approx (+ ( x x) (+ (* 2 x) (* y y))) (*.f64 x x)))))
(if (<=.f64 y #s(literal 63999999999999996516814783170740224 binary64)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (.f64 (-.f64 x #s(literal -2 binary64)) x)) #s(approx (+ (+ ( x 2) (* x x)) (* y y)) (*.f64 y y)))
(if (<=.f64 y #s(literal 7023719668396391/10328999512347634358623676688012047497318823171316894051322637426162590488067364778518581413120551325743612687890989973504 binary64)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (.f64 #s(approx (- x -2) #s(literal 2 binary64)) x)) (if (<=.f64 y #s(literal 63999999999999996516814783170740224 binary64)) #s(approx (+ ( x x) (+ (* 2 x) (* y y))) (.f64 x x)) #s(approx (+ (+ ( x 2) (* x x)) (* y y)) (*.f64 y y))))
(if (<=.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) #s(literal 50000000000000000000 binary64)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (.f64 y y)) (if (<=.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) #s(literal 50000000000000001887294662411407443533081825641014488466543294060088134318769385525237556959827145239234763882681864505882216148946029099504910582896334060126208 binary64)) #s(approx (+ ( x x) (+ (* 2 x) (* y y))) (.f64 x x)) (if (<=.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) #s(literal 20000000000000001019220591274005456279710505470622733232619203286613548419128326636838181727778134043521316213363512555228359822654904417182365028760483854715262087764856296628876189602931571523608705123012237845488278935519238250121771614208 binary64)) #s(approx (+ (+ ( x 2) (* x x)) (* y y)) (.f64 y y)) #s(approx (+ ( x x) (+ (* 2 x) (* y y))) (*.f64 x x)))))
#s(approx (+ (* x x) (+ (* 2 x) (* y y))) (*.f64 x x))

Outputs
(fma.f64 x x (fma.f64 #s(literal 2 binary64) x (*.f64 y y)))
(fma.f64 (+.f64 #s(literal 2 binary64) x) x (*.f64 y y))
(if (<=.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) #s(literal 50000000000000000000 binary64)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 #s(literal 2 binary64) x (.f64 y y))) (if (<=.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) #s(literal 50000000000000001887294662411407443533081825641014488466543294060088134318769385525237556959827145239234763882681864505882216148946029099504910582896334060126208 binary64)) #s(approx (+ (+ ( x 2) (* x x)) (* y y)) (.f64 (-.f64 x #s(literal -2 binary64)) x)) (if (<=.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) #s(literal 20000000000000001019220591274005456279710505470622733232619203286613548419128326636838181727778134043521316213363512555228359822654904417182365028760483854715262087764856296628876189602931571523608705123012237845488278935519238250121771614208 binary64)) #s(approx (+ (+ ( x 2) (* x x)) (* y y)) (.f64 y y)) #s(approx (+ ( x x) (+ (* 2 x) (* y y))) (*.f64 x x)))))
(if (<=.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) #s(literal 50000000000000000000 binary64)) #s(approx (+ (* x x) (+ (* 2 x) (* y y))) (fma.f64 #s(literal 2 binary64) x (.f64 y y))) (if (<=.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) #s(literal 50000000000000001887294662411407443533081825641014488466543294060088134318769385525237556959827145239234763882681864505882216148946029099504910582896334060126208 binary64)) #s(approx (+ ( x x) (+ (* 2 x) (* y y))) (.f64 (-.f64 x #s(literal -2 binary64)) x)) (if (<=.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) #s(literal 20000000000000001019220591274005456279710505470622733232619203286613548419128326636838181727778134043521316213363512555228359822654904417182365028760483854715262087764856296628876189602931571523608705123012237845488278935519238250121771614208 binary64)) #s(approx (+ ( x x) (+ (* 2 x) (* y y))) (.f64 y y)) #s(approx (+ ( x x) (+ (* 2 x) (* y y))) (*.f64 x x)))))
(if (<=.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) #s(literal 50000000000000000000 binary64)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 (fma.f64 y y x) x)) (if (<=.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) #s(literal 50000000000000001887294662411407443533081825641014488466543294060088134318769385525237556959827145239234763882681864505882216148946029099504910582896334060126208 binary64)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (.f64 (-.f64 x #s(literal -2 binary64)) x)) (if (<=.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) #s(literal 20000000000000001019220591274005456279710505470622733232619203286613548419128326636838181727778134043521316213363512555228359822654904417182365028760483854715262087764856296628876189602931571523608705123012237845488278935519238250121771614208 binary64)) #s(approx (+ (+ ( x 2) (* x x)) (* y y)) (.f64 y y)) #s(approx (+ ( x x) (+ (* 2 x) (* y y))) (*.f64 x x)))))
(if (<=.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) #s(literal 50000000000000000000 binary64)) #s(approx (+ (* x x) (+ (* 2 x) (* y y))) (+.f64 (fma.f64 y y x) x)) (if (<=.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) #s(literal 50000000000000001887294662411407443533081825641014488466543294060088134318769385525237556959827145239234763882681864505882216148946029099504910582896334060126208 binary64)) #s(approx (+ (* x x) (+ (* 2 x) (* y y))) (.f64 (-.f64 x #s(literal -2 binary64)) x)) (if (<=.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) #s(literal 20000000000000001019220591274005456279710505470622733232619203286613548419128326636838181727778134043521316213363512555228359822654904417182365028760483854715262087764856296628876189602931571523608705123012237845488278935519238250121771614208 binary64)) #s(approx (+ ( x x) (+ (* 2 x) (* y y))) (.f64 y y)) #s(approx (+ ( x x) (+ (* 2 x) (* y y))) (*.f64 x x)))))
(if (<=.f64 y #s(literal 63999999999999996516814783170740224 binary64)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (.f64 (-.f64 x #s(literal -2 binary64)) x)) #s(approx (+ (+ ( x 2) (* x x)) (* y y)) (*.f64 y y)))
(if (<=.f64 y #s(literal 63999999999999996516814783170740224 binary64)) #s(approx (+ (* x x) (+ (* 2 x) (* y y))) (.f64 (-.f64 x #s(literal -2 binary64)) x)) #s(approx (+ ( x x) (+ (* 2 x) (* y y))) (*.f64 y y)))
(if (<=.f64 y #s(literal 7023719668396391/10328999512347634358623676688012047497318823171316894051322637426162590488067364778518581413120551325743612687890989973504 binary64)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (.f64 #s(approx (- x -2) #s(literal 2 binary64)) x)) (if (<=.f64 y #s(literal 63999999999999996516814783170740224 binary64)) #s(approx (+ ( x x) (+ (* 2 x) (* y y))) (.f64 x x)) #s(approx (+ (+ ( x 2) (* x x)) (* y y)) (*.f64 y y))))
(if (<=.f64 y #s(literal 7023719668396391/10328999512347634358623676688012047497318823171316894051322637426162590488067364778518581413120551325743612687890989973504 binary64)) #s(approx (+ (* x x) (+ (* 2 x) (* y y))) (.f64 #s(approx (- x -2) #s(literal 2 binary64)) x)) (if (<=.f64 y #s(literal 63999999999999996516814783170740224 binary64)) #s(approx (+ ( x x) (+ (* 2 x) (* y y))) (.f64 x x)) #s(approx (+ ( x x) (+ (* 2 x) (* y y))) (*.f64 y y))))
(if (<=.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) #s(literal 50000000000000000000 binary64)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (.f64 y y)) (if (<=.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) #s(literal 50000000000000001887294662411407443533081825641014488466543294060088134318769385525237556959827145239234763882681864505882216148946029099504910582896334060126208 binary64)) #s(approx (+ ( x x) (+ (* 2 x) (* y y))) (.f64 x x)) (if (<=.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) #s(literal 20000000000000001019220591274005456279710505470622733232619203286613548419128326636838181727778134043521316213363512555228359822654904417182365028760483854715262087764856296628876189602931571523608705123012237845488278935519238250121771614208 binary64)) #s(approx (+ (+ ( x 2) (* x x)) (* y y)) (.f64 y y)) #s(approx (+ ( x x) (+ (* 2 x) (* y y))) (*.f64 x x)))))
(if (or (<=.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) #s(literal 50000000000000000000 binary64)) (not (or (<=.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) #s(literal 50000000000000001887294662411407443533081825641014488466543294060088134318769385525237556959827145239234763882681864505882216148946029099504910582896334060126208 binary64)) (not (<=.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) #s(literal 20000000000000001019220591274005456279710505470622733232619203286613548419128326636838181727778134043521316213363512555228359822654904417182365028760483854715262087764856296628876189602931571523608705123012237845488278935519238250121771614208 binary64)))))) #s(approx (+ (* x x) (+ (* 2 x) (* y y))) (.f64 y y)) #s(approx (+ ( x x) (+ (* 2 x) (* y y))) (*.f64 x x)))
#s(approx (+ (* x x) (+ (* 2 x) (* y y))) (*.f64 x x))

derivations616.0ms (9.6%)

Memory

14.5MiB live, 436.2MiB allocated; 109ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	104
1	109	98
2	433	94
3	2650	90
0	8445	82
0	46	144
1	153	132
2	581	132
3	3485	132
0	8243	122
0	8	27
0	13	23
1	61	23
0	569	22
0	19	87
0	28	77
1	148	77
0	1128	77

Stop Event

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

Compiler

Compiled 377 to 54 computations (85.7% saved)

preprocess114.0ms (1.8%)

Memory: -4.6MiB live, 94.0MiB allocated; 24ms collecting garbage
Remove: (abs y)
Compiler: Compiled 816 to 152 computations (81.4% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample2.9s (44.9%)

explain261.0ms (4.1%)

preprocess318.0ms (4.9%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify208.0ms (3.2%)

localize24.0ms (0.4%)

series5.0ms (0.1%)

simplify446.0ms (6.9%)

rewrite82.0ms (1.3%)

eval18.0ms (0.3%)

prune4.0ms (0.1%)

simplify175.0ms (2.7%)

localize176.0ms (2.7%)

series5.0ms (0.1%)

simplify242.0ms (3.8%)

rewrite87.0ms (1.3%)

eval36.0ms (0.6%)

prune5.0ms (0.1%)

simplify120.0ms (1.9%)

localize78.0ms (1.2%)

series4.0ms (0.1%)

simplify186.0ms (2.9%)

rewrite55.0ms (0.9%)

eval36.0ms (0.6%)

prune30.0ms (0.5%)

regimes17.0ms (0.3%)

regimes30.0ms (0.5%)

regimes12.0ms (0.2%)

regimes3.0ms (0%)

regimes23.0ms (0.4%)

regimes5.0ms (0.1%)

regimes5.0ms (0.1%)

regimes5.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch24.0ms (0.4%)

bsearch11.0ms (0.2%)

bsearch1.0ms (0%)

simplify82.0ms (1.3%)

derivations616.0ms (9.6%)

preprocess114.0ms (1.8%)

end0.0ms (0%)

Profiling