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

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 15 to 11 computations (26.7% saved)

sample1.2s (24.5%)

Memory

39.9MiB live, 1 439.6MiB allocated; 270ms collecting garbage

Samples

799.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 434.0ms

ival-mult: 269.0ms (62% of total)

ival-add: 146.0ms (33.7% of total)

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

exact: 6.0ms (1.4% of total)

ival-assert: 4.0ms (0.9% of total)

adjust: 3.0ms (0.7% of total)

Bogosity

explain207.0ms (4.2%)

Memory

-18.8MiB live, 272.4MiB allocated; 85ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
10	-	-	`(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x #s(literal 2 binary64)) y)) (.f64 y y))`
8	-	-	`(+.f64 (.f64 x x) (.f64 (*.f64 x #s(literal 2 binary64)) 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 (.f64 x x) (.f64 (.f64 x #s(literal 2 binary64)) y)) (.f64 y y))`	nan-rescue	10	0
↳	`(+.f64 (.f64 x x) (.f64 (*.f64 x #s(literal 2 binary64)) y))`	overflow	68
↳	`(*.f64 x x)`	overflow	61
↳	`(.f64 (.f64 x #s(literal 2 binary64)) y)`	overflow	26
↳	`(*.f64 y y)`	overflow	60
`+.f64`	`(+.f64 (.f64 x x) (.f64 (*.f64 x #s(literal 2 binary64)) y))`	nan-rescue	8	0
↳	`(*.f64 x x)`	overflow	61
↳	`(.f64 (.f64 x #s(literal 2 binary64)) y)`	overflow	26

Confusion

	Predicted +	Predicted -
+	15	0
-	0	241

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	15	0	0
-	0	0	241

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	241
1	12
2	3

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

122.0ms

512×

valid

Compiler

Compiled 95 to 31 computations (67.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 76.0ms

ival-mult: 70.0ms (92.2% of total)

ival-add: 4.0ms (5.3% 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)

preprocess170.0ms (3.5%)

Memory

41.9MiB live, 126.6MiB allocated; 25ms collecting garbage

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	23	71
1	95	57
2	314	57
3	611	55
4	1031	55
5	1555	35
6	2248	35
7	3008	35
8	3674	35
9	3996	35
10	4004	35
11	4004	35
12	4046	35
13	4088	35
14	4102	35
0	9	13
0	15	13
1	38	11
2	127	11
3	330	11
4	634	11
5	971	7
6	1297	7
7	1855	7
8	2503	7
9	2794	7
10	3048	7
11	3066	7
0	3066	7

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

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

Symmetry

(sort x y)

Compiler

Compiled 13 to 9 computations (30.8% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	94.1%	(+.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)

simplify89.0ms (1.8%)

Memory

-9.1MiB live, 54.5MiB allocated; 21ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (.f64 x #s(literal 2 binary64)) y)
cost-diff	0	(*.f64 x x)
cost-diff	3	(+.f64 (.f64 x x) (.f64 (*.f64 x #s(literal 2 binary64)) y))
cost-diff	3	(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x #s(literal 2 binary64)) y)) (.f64 y y))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	39
0	15	39
1	38	35
2	127	35
3	330	35
4	634	35
5	971	31
6	1297	31
7	1855	31
8	2503	31
9	2794	31
10	3048	31
11	3066	31
0	3066	30

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

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

localize44.0ms (0.9%)

Memory

-22.9MiB live, 69.8MiB allocated; 8ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x x)
accuracy	0.0	(*.f64 x #s(literal 2 binary64))
accuracy	1.8007812500000002	(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x #s(literal 2 binary64)) y)) (.f64 y y))
accuracy	2.2148354933208236	(+.f64 (.f64 x x) (.f64 (*.f64 x #s(literal 2 binary64)) y))

Samples

38.0ms

256×

valid

Compiler

Compiled 41 to 11 computations (73.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-mult: 9.0ms (74% of total)

ival-add: 2.0ms (16.4% 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)

series7.0ms (0.2%)

Memory

22.5MiB live, 22.5MiB allocated; 0ms collecting garbage

Counts

5 → 17

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

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)
(* 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)))))
(* 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 2) y) (* x 2))
1.0ms	x	@	0	((+ (+ (* x x) (* (* x 2) y)) (* y y)) (+ (* x x) (* (* x 2) y)) (* x x) (* (* x 2) y) (* x 2))
1.0ms	y	@	0	((+ (+ (* x x) (* (* x 2) y)) (* y y)) (+ (* x x) (* (* x 2) y)) (* x x) (* (* x 2) y) (* x 2))
1.0ms	x	@	-inf	((+ (+ (* x x) (* (* x 2) y)) (* y y)) (+ (* x x) (* (* x 2) y)) (* x x) (* (* x 2) y) (* x 2))
1.0ms	y	@	inf	((+ (+ (* x x) (* (* x 2) y)) (* y y)) (+ (* x x) (* (* x 2) y)) (* x x) (* (* x 2) y) (* x 2))

simplify180.0ms (3.7%)

Memory

-36.8MiB live, 302.6MiB allocated; 64ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	177
1	194	169
2	746	157
3	3571	149
0	8118	140

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 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)
(* 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)))))
(* 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)
(* 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 y x) (-.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 1 binary64)) x) 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)
(+ (* 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))
(* (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 x y) (-.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 1 binary64)) y) y)
(* y (+ (* 2 x) (/ (pow x 2) y)))
(.f64 (.f64 y x) (-.f64 (/.f64 x y) #s(literal -2 binary64)))
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (pow x 2) y))) y))))
(.f64 (.f64 (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 1 binary64)) y) y)
(* -1 (* y (+ (* -2 x) (* -1 (/ (pow x 2) y)))))
(.f64 (.f64 y x) (-.f64 (/.f64 x y) #s(literal -2 binary64)))

rewrite138.0ms (2.8%)

Memory

24.4MiB live, 255.2MiB allocated; 25ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	33
0	15	33
1	65	29
2	568	29
0	9286	26

Stop Event

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

Counts

5 → 255

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

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

eval28.0ms (0.6%)

Memory: 21.1MiB live, 66.8MiB allocated; 4ms collecting garbage
Compiler: Compiled 8 056 to 793 computations (90.2% saved)

prune30.0ms (0.6%)

Memory

-38.8MiB live, 16.2MiB allocated; 7ms collecting garbage

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	264	4	268
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	265	4	269

Accuracy

100.0%

Counts

269 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 y (fma.f64 #s(literal 2 binary64) x y) (*.f64 x x))
▶	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)))
▶	58.2%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 y y))

Compiler

Compiled 67 to 42 computations (37.3% saved)

simplify87.0ms (1.8%)

Memory

26.9MiB live, 70.8MiB allocated; 11ms collecting garbage

Localize:

Found 11 expressions of interest:

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	106
0	28	92
1	72	92
2	207	86
3	559	86
4	962	86
5	1294	86
6	1794	86
7	2442	86
8	2787	86
9	3039	86
10	3125	86
0	3125	86

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize72.0ms (1.5%)

Memory

8.7MiB live, 90.8MiB allocated; 32ms collecting garbage

Localize:

Found 11 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 #s(literal 2 binary64) x y)
accuracy	0.0	(*.f64 x x)
accuracy	0.01171875	(fma.f64 y (fma.f64 #s(literal 2 binary64) x y) (*.f64 x x))
accuracy	0.0	(fma.f64 #s(literal 2 binary64) x y)
accuracy	0.01953125	(*.f64 (fma.f64 #s(literal 2 binary64) x y) y)
accuracy	27.50452614582785	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y))
accuracy	0.0	(+.f64 y x)
accuracy	0.0	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 (+.f64 y x) (+.f64 y x)))
accuracy	0.0234375	(*.f64 (+.f64 y x) (+.f64 y x))
accuracy	0.0	(*.f64 y y)
accuracy	26.75450578760786	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 y y))

Samples

63.0ms

256×

valid

Compiler

Compiled 94 to 18 computations (80.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-mult: 19.0ms (75% of total)

ival-add: 6.0ms (23.7% 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)

series7.0ms (0.2%)

Memory

20.6MiB live, 20.6MiB allocated; 0ms collecting garbage

Counts

10 → 29

Calls

Call 1

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

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

Calls

6 calls:

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

simplify271.0ms (5.5%)

Memory

1.8MiB live, 186.0MiB allocated; 58ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	79	256
1	267	246
2	897	234
3	3740	234
0	8365	217

Stop Event

1×	iter limit
1×	node limit

Counts

29 → 27

Calls

Call 1

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

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

rewrite401.0ms (8.2%)

Memory

-39.1MiB live, 558.0MiB allocated; 147ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	93
0	28	77
1	130	77
2	1109	77
0	8661	77

Stop Event

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

Counts

10 → 586

Calls

Call 1

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

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

eval110.0ms (2.2%)

Memory: 25.6MiB live, 175.5MiB allocated; 20ms collecting garbage
Compiler: Compiled 26 615 to 2 209 computations (91.7% saved)

prune91.0ms (1.8%)

Memory

-58.3MiB live, 58.5MiB allocated; 15ms collecting garbage

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	742	2	744
Fresh	0	0	0
Picked	0	4	4
Done	0	0	0
Total	742	6	748

Accuracy

100.0%

Counts

748 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 y (fma.f64 #s(literal 2 binary64) x y) (*.f64 x x))
▶	54.6%	(fma.f64 y #s(approx (+ (* 2 x) y) (.f64 #s(literal 2 binary64) x)) (.f64 x x))
✓	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)))
▶	11.6%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (.f64 #s(approx (+ ( 2 x) y) (*.f64 #s(literal 2 binary64) x)) y))
✓	58.2%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 y y))

Compiler

Compiled 106 to 68 computations (35.8% saved)

simplify71.0ms (1.4%)

Memory

37.3MiB live, 81.8MiB allocated; 6ms collecting garbage

Localize:

Found 8 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	83
0	22	83
1	52	81
2	159	81
3	432	81
4	797	77
5	1145	77
6	1529	77
7	2154	77
8	2756	77
9	3020	77
10	3204	77
0	3204	72

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize60.0ms (1.2%)

Memory

-31.8MiB live, 111.4MiB allocated; 25ms collecting garbage

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x x)
accuracy	0.0	(*.f64 #s(literal 2 binary64) x)
accuracy	0.01171875	(fma.f64 y #s(approx (+ (* 2 x) y) (.f64 #s(literal 2 binary64) x)) (.f64 x x))
accuracy	33.22978795049718	#s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x))
accuracy	0.0	(*.f64 #s(literal 2 binary64) x)
accuracy	0.01953125	(.f64 #s(approx (+ ( 2 x) y) (*.f64 #s(literal 2 binary64) x)) y)
accuracy	27.50452614582785	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (.f64 #s(approx (+ ( 2 x) y) (*.f64 #s(literal 2 binary64) x)) y))
accuracy	33.22978795049718	#s(approx (+ (* 2 x) y) (*.f64 #s(literal 2 binary64) x))

Samples

34.0ms

256×

valid

Compiler

Compiled 58 to 16 computations (72.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-mult: 14.0ms (72.2% of total)

ival-add: 5.0ms (25.8% 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)

series4.0ms (0.1%)

Memory

9.5MiB live, 9.5MiB allocated; 0ms collecting garbage

Counts

6 → 23

Calls

Call 1

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

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

Calls

6 calls:

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

simplify227.0ms (4.6%)

Memory

-2.4MiB live, 230.5MiB allocated; 50ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	220
1	231	210
2	830	198
3	3687	198
0	8265	183

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 22

Calls

Call 1

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

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

rewrite137.0ms (2.8%)

Memory

6.8MiB live, 239.8MiB allocated; 39ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	65
0	22	65
1	100	63
2	863	63
0	9501	57

Stop Event

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

Counts

6 → 118

Calls

Call 1

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

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

eval48.0ms (1%)

Memory: 2.4MiB live, 48.9MiB allocated; 3ms collecting garbage
Compiler: Compiled 5 583 to 466 computations (91.7% saved)

prune5.0ms (0.1%)

Memory

21.4MiB live, 21.4MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	173	3	176
Fresh	0	0	0
Picked	2	0	2
Done	0	4	4
Total	175	7	182

Accuracy

100.0%

Counts

182 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 y (fma.f64 #s(literal 2 binary64) x y) (*.f64 x x))
▶	54.6%	(fma.f64 y #s(approx (+ (* 2 x) y) (+.f64 x x)) (*.f64 x x))
✓	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)))
▶	11.6%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (.f64 #s(approx (+ ( 2 x) y) (+.f64 x x)) y))
▶	13.4%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (.f64 #s(approx (+ ( 2 x) y) (*.f64 x #s(literal -2 binary64))) y))
✓	58.2%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 y y))

Compiler

Compiled 131 to 82 computations (37.4% saved)

simplify82.0ms (1.7%)

Memory

-0.3MiB live, 62.6MiB allocated; 12ms collecting garbage

Localize:

Found 12 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	132
0	29	132
1	62	128
2	167	128
3	440	128
4	807	120
5	1167	120
6	1556	120
7	2184	120
8	2786	120
9	3050	120
10	3234	120
0	3234	112

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize61.0ms (1.2%)

Memory

-7.2MiB live, 184.3MiB allocated; 15ms collecting garbage

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 x x)
accuracy	0.0	(*.f64 x x)
accuracy	0.01171875	(fma.f64 y #s(approx (+ (* 2 x) y) (+.f64 x x)) (*.f64 x x))
accuracy	33.22978795049718	#s(approx (+ (* 2 x) y) (+.f64 x x))
accuracy	0.0	(+.f64 x x)
accuracy	0.01953125	(.f64 #s(approx (+ ( 2 x) y) (+.f64 x x)) y)
accuracy	27.50452614582785	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (.f64 #s(approx (+ ( 2 x) y) (+.f64 x x)) y))
accuracy	33.22978795049718	#s(approx (+ (* 2 x) y) (+.f64 x x))
accuracy	0.0	(*.f64 x #s(literal -2 binary64))
accuracy	0.01953125	(.f64 #s(approx (+ ( 2 x) y) (*.f64 x #s(literal -2 binary64))) y)
accuracy	27.50452614582785	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (.f64 #s(approx (+ ( 2 x) y) (*.f64 x #s(literal -2 binary64))) y))
accuracy	62.43580595164273	#s(approx (+ (* 2 x) y) (*.f64 x #s(literal -2 binary64)))

Samples

49.0ms

256×

valid

Compiler

Compiled 87 to 19 computations (78.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-mult: 14.0ms (60.8% of total)

ival-add: 8.0ms (34.7% 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)

series7.0ms (0.1%)

Memory

-30.2MiB live, 16.2MiB allocated; 2ms collecting garbage

Counts

10 → 24

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	((+ (+ (* x x) (* (* x 2) y)) (* y y)) (* (+ (* 2 x) y) y) (+ (* 2 x) y) (* x -2) (+ (+ (* x x) (* (* x 2) y)) (* y y)) (* (+ (* 2 x) y) y) (+ (* 2 x) y) (+ x x) (+ (* y (+ (* 2 x) y)) (* x x)) (* x x))
1.0ms	x	@	inf	((+ (+ (* x x) (* (* x 2) y)) (* y y)) (* (+ (* 2 x) y) y) (+ (* 2 x) y) (* x -2) (+ (+ (* x x) (* (* x 2) y)) (* y y)) (* (+ (* 2 x) y) y) (+ (* 2 x) y) (+ x x) (+ (* y (+ (* 2 x) y)) (* x x)) (* x x))
1.0ms	y	@	-inf	((+ (+ (* x x) (* (* x 2) y)) (* y y)) (* (+ (* 2 x) y) y) (+ (* 2 x) y) (* x -2) (+ (+ (* x x) (* (* x 2) y)) (* y y)) (* (+ (* 2 x) y) y) (+ (* 2 x) y) (+ x x) (+ (* y (+ (* 2 x) y)) (* x x)) (* x x))
1.0ms	x	@	0	((+ (+ (* x x) (* (* x 2) y)) (* y y)) (* (+ (* 2 x) y) y) (+ (* 2 x) y) (* x -2) (+ (+ (* x x) (* (* x 2) y)) (* y y)) (* (+ (* 2 x) y) y) (+ (* 2 x) y) (+ x x) (+ (* y (+ (* 2 x) y)) (* x x)) (* x x))
0.0ms	y	@	inf	((+ (+ (* x x) (* (* x 2) y)) (* y y)) (* (+ (* 2 x) y) y) (+ (* 2 x) y) (* x -2) (+ (+ (* x x) (* (* x 2) y)) (* y y)) (* (+ (* 2 x) y) y) (+ (* 2 x) y) (+ x x) (+ (* y (+ (* 2 x) y)) (* x x)) (* x x))

simplify157.0ms (3.2%)

Memory

40.4MiB live, 319.7MiB allocated; 27ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	223
1	231	213
2	829	201
3	3687	201
0	8245	186

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 23

Calls

Call 1

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

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

rewrite292.0ms (5.9%)

Memory

-27.6MiB live, 310.1MiB allocated; 56ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	113
0	29	113
1	117	109
2	1070	109
0	8632	98

Stop Event

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

Counts

10 → 636

Calls

Call 1

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

Outputs
#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (.f64 #s(approx (+ ( 2 x) y) (*.f64 #s(literal -2 binary64) x)) y))
(.f64 #s(approx (+ ( 2 x) y) (*.f64 #s(literal -2 binary64) x)) y)
(.f64 y #s(approx (+ ( 2 x) y) (*.f64 #s(literal -2 binary64) x)))
#s(approx (+ (* 2 x) y) (*.f64 #s(literal -2 binary64) x))
(.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) x) #s(literal 2 binary64)) (.f64 (.f64 #s(literal -2 binary64) x) #s(literal 2 binary64))) (*.f64 x x))
(.f64 (pow.f64 (.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 #s(literal -2 binary64) x) #s(literal 3/4 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3/4 binary64)))
(.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) x) x) (.f64 (.f64 #s(literal -2 binary64) x) x)) #s(literal 4 binary64))
(.f64 (fabs.f64 (.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 2 binary64))) x)
(.f64 (fabs.f64 (.f64 (*.f64 #s(literal -2 binary64) x) x)) #s(literal 2 binary64))
(.f64 (pow.f64 (.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(.f64 (pow.f64 (.f64 (*.f64 #s(literal -2 binary64) x) x) #s(literal 3 binary64)) #s(literal 8 binary64))
(*.f64 #s(literal 512 binary64) (pow.f64 x #s(literal 9 binary64)))
(*.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)))
(.f64 (pow.f64 (.f64 (.f64 #s(literal -2 binary64) x) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 x x))
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(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 #s(approx (+ ( 2 x) y) (.f64 #s(literal -2 binary64) x)) y) #s(literal 3 binary64)) (fma.f64 (.f64 x x) (-.f64 (.f64 x x) (.f64 #s(approx (+ (* 2 x) y) (.f64 #s(literal -2 binary64) x)) y)) (pow.f64 (.f64 #s(approx (+ (* 2 x) y) (.f64 #s(literal -2 binary64) x)) y) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 x x) (-.f64 (.f64 x x) (.f64 #s(approx (+ (* 2 x) y) (.f64 #s(literal -2 binary64) x)) y)) (pow.f64 (.f64 #s(approx (+ (* 2 x) y) (.f64 #s(literal -2 binary64) x)) y) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 #s(approx (+ (* 2 x) y) (.f64 #s(literal -2 binary64) x)) y) #s(literal 3 binary64)) (fma.f64 (.f64 x x) (-.f64 (.f64 x x) (.f64 #s(approx (+ (* 2 x) y) (.f64 #s(literal -2 binary64) x)) y)) (pow.f64 (.f64 #s(approx (+ (* 2 x) y) (.f64 #s(literal -2 binary64) x)) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 #s(approx (+ (* 2 x) y) (.f64 #s(literal -2 binary64) x)) y) #s(literal 3 binary64)) (fma.f64 (.f64 x x) (-.f64 (.f64 x x) (.f64 #s(approx (+ (* 2 x) y) (.f64 #s(literal -2 binary64) x)) y)) (pow.f64 (.f64 #s(approx (+ (* 2 x) y) (.f64 #s(literal -2 binary64) x)) y) #s(literal 2 binary64)))) (-.f64 (.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 x x) (-.f64 (.f64 x x) (.f64 #s(approx (+ ( 2 x) y) (.f64 #s(literal -2 binary64) x)) y)) (pow.f64 (.f64 #s(approx (+ (* 2 x) y) (.f64 #s(literal -2 binary64) x)) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 x x) (-.f64 (.f64 x x) (.f64 #s(approx (+ (* 2 x) y) (.f64 #s(literal -2 binary64) x)) y)) (pow.f64 (.f64 #s(approx (+ (* 2 x) y) (.f64 #s(literal -2 binary64) x)) y) #s(literal 2 binary64))))) (.f64 (/.f64 (pow.f64 (.f64 #s(approx (+ ( 2 x) y) (.f64 #s(literal -2 binary64) x)) y) #s(literal 3 binary64)) (fma.f64 (.f64 x x) (-.f64 (.f64 x x) (.f64 #s(approx (+ (* 2 x) y) (.f64 #s(literal -2 binary64) x)) y)) (pow.f64 (.f64 #s(approx (+ (* 2 x) y) (.f64 #s(literal -2 binary64) x)) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 x x) (-.f64 (.f64 x x) (.f64 #s(approx (+ (* 2 x) y) (.f64 #s(literal -2 binary64) x)) y)) (pow.f64 (.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal -2 binary64) x)) y) #s(literal 2 binary64))))))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(approx (+ ( 2 x) y) (.f64 #s(literal -2 binary64) x)) y) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 (neg.f64 x)) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 #s(approx (+ ( 2 x) y) (.f64 #s(literal -2 binary64) x)) y) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 #s(approx (+ ( 2 x) y) (.f64 #s(literal -2 binary64) x)) y) (.f64 (neg.f64 (neg.f64 x)) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 #s(approx (+ ( 2 x) y) (.f64 #s(literal -2 binary64) x)) y) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 x x) (.f64 #s(approx (+ ( 2 x) y) (*.f64 #s(literal -2 binary64) x)) y))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(approx (+ ( 2 x) y) (.f64 #s(literal -2 binary64) x)) y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(approx (+ ( 2 x) y) (.f64 #s(literal -2 binary64) x)) y (.f64 (neg.f64 x) x)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 #s(approx (+ ( 2 x) y) (.f64 #s(literal -2 binary64) x)) y) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (.f64 x x) (-.f64 (.f64 x x) (.f64 #s(approx (+ (* 2 x) y) (.f64 #s(literal -2 binary64) x)) y)) (pow.f64 (.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal -2 binary64) x)) y) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(approx (+ ( 2 x) y) (.f64 #s(literal -2 binary64) x)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 #s(approx (+ (* 2 x) y) (.f64 #s(literal -2 binary64) x)) y) #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 #s(approx (+ ( 2 x) y) (.f64 #s(literal -2 binary64) x)) y) (.f64 (neg.f64 x) x))))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 #s(approx (+ (* 2 x) y) (.f64 #s(literal -2 binary64) x)) y) #s(literal 2 binary64)) (fma.f64 #s(approx (+ ( 2 x) y) (.f64 #s(literal -2 binary64) x)) y (.f64 (neg.f64 x) x))) (.f64 (fma.f64 #s(approx (+ ( 2 x) y) (.f64 #s(literal -2 binary64) x)) y (.f64 (neg.f64 x) x)) (pow.f64 x #s(literal 4 binary64)))) (.f64 (fma.f64 #s(approx (+ ( 2 x) y) (.f64 #s(literal -2 binary64) x)) y (.f64 (neg.f64 x) x)) (fma.f64 #s(approx (+ (* 2 x) y) (.f64 #s(literal -2 binary64) x)) y (.f64 (neg.f64 x) x))))
(/.f64 (fma.f64 (pow.f64 (.f64 #s(approx (+ ( 2 x) y) (.f64 #s(literal -2 binary64) x)) y) #s(literal 3 binary64)) (fma.f64 (.f64 x x) (-.f64 (.f64 x x) (.f64 #s(approx (+ (* 2 x) y) (.f64 #s(literal -2 binary64) x)) y)) (pow.f64 (.f64 #s(approx (+ (* 2 x) y) (.f64 #s(literal -2 binary64) x)) y) #s(literal 2 binary64))) (.f64 (fma.f64 (.f64 x x) (-.f64 (.f64 x x) (.f64 #s(approx (+ ( 2 x) y) (.f64 #s(literal -2 binary64) x)) y)) (pow.f64 (.f64 #s(approx (+ (* 2 x) y) (.f64 #s(literal -2 binary64) x)) y) #s(literal 2 binary64))) (pow.f64 x #s(literal 6 binary64)))) (.f64 (fma.f64 (.f64 x x) (-.f64 (.f64 x x) (.f64 #s(approx (+ ( 2 x) y) (.f64 #s(literal -2 binary64) x)) y)) (pow.f64 (.f64 #s(approx (+ (* 2 x) y) (.f64 #s(literal -2 binary64) x)) y) #s(literal 2 binary64))) (fma.f64 (.f64 x x) (-.f64 (.f64 x x) (.f64 #s(approx (+ (* 2 x) y) (.f64 #s(literal -2 binary64) x)) y)) (pow.f64 (.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal -2 binary64) x)) y) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 #s(approx (+ ( 2 x) y) (.f64 #s(literal -2 binary64) x)) y) #s(literal 2 binary64))) (fma.f64 x x (.f64 (neg.f64 y) #s(approx (+ (* 2 x) y) (*.f64 #s(literal -2 binary64) x)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 #s(approx (+ ( 2 x) y) (.f64 #s(literal -2 binary64) x)) y) #s(literal 2 binary64))) (-.f64 (.f64 x x) (.f64 #s(approx (+ ( 2 x) y) (*.f64 #s(literal -2 binary64) x)) y)))
(/.f64 (-.f64 (pow.f64 (.f64 #s(approx (+ ( 2 x) y) (.f64 #s(literal -2 binary64) x)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 (.f64 #s(approx (+ (* 2 x) y) (.f64 #s(literal -2 binary64) x)) y) #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 #s(approx (+ ( 2 x) y) (.f64 #s(literal -2 binary64) x)) y) (.f64 (neg.f64 x) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(approx (+ ( 2 x) y) (.f64 #s(literal -2 binary64) x)) y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (fma.f64 #s(approx (+ ( 2 x) y) (.f64 #s(literal -2 binary64) x)) y (.f64 (neg.f64 x) x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 #s(approx (+ ( 2 x) y) (.f64 #s(literal -2 binary64) x)) y) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 (.f64 #s(approx (+ (* 2 x) y) (.f64 #s(literal -2 binary64) x)) y) #s(literal 2 binary64)) (.f64 #s(approx (+ (* 2 x) y) (.f64 #s(literal -2 binary64) x)) (.f64 y (*.f64 x x)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 #s(approx (+ ( 2 x) y) (.f64 #s(literal -2 binary64) x)) y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 x x) (-.f64 (.f64 x x) (.f64 #s(approx (+ (* 2 x) y) (.f64 #s(literal -2 binary64) x)) y)) (pow.f64 (.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal -2 binary64) x)) y) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(approx (+ ( 2 x) y) (.f64 #s(literal -2 binary64) x)) y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (.f64 #s(approx (+ (* 2 x) y) (.f64 #s(literal -2 binary64) x)) y) (.f64 (neg.f64 (neg.f64 x)) x)))
(/.f64 (-.f64 (pow.f64 (.f64 #s(approx (+ ( 2 x) y) (.f64 #s(literal -2 binary64) x)) y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(approx (+ ( 2 x) y) (.f64 #s(literal -2 binary64) x)) y (.f64 (neg.f64 x) x)))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 #s(approx (+ ( 2 x) y) (.f64 #s(literal -2 binary64) x)) y) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 (.f64 #s(approx (+ (* 2 x) y) (.f64 #s(literal -2 binary64) x)) y) #s(literal 2 binary64)) (.f64 #s(approx (+ (* 2 x) y) (.f64 #s(literal -2 binary64) x)) (.f64 y (*.f64 x x))))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 #s(approx (+ ( 2 x) y) (.f64 #s(literal -2 binary64) x)) y) #s(literal 3 binary64))) (fma.f64 (.f64 x x) (-.f64 (.f64 x x) (.f64 #s(approx (+ (* 2 x) y) (.f64 #s(literal -2 binary64) x)) y)) (pow.f64 (.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal -2 binary64) x)) y) #s(literal 2 binary64))))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 x))) (.f64 #s(approx (+ ( 2 x) y) (*.f64 #s(literal -2 binary64) x)) y))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (.f64 #s(approx (+ ( 2 x) y) (*.f64 #s(literal -2 binary64) x)) y))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (.f64 #s(approx (+ ( 2 x) y) (*.f64 #s(literal -2 binary64) x)) y))
(fma.f64 (neg.f64 x) (neg.f64 x) (.f64 #s(approx (+ ( 2 x) y) (*.f64 #s(literal -2 binary64) x)) y))
(fma.f64 #s(approx (+ (* 2 x) y) (.f64 #s(literal -2 binary64) x)) y (.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 #s(approx (+ (* 2 x) y) (.f64 #s(literal -2 binary64) x)) y (.f64 x x))
(fma.f64 y #s(approx (+ (* 2 x) y) (.f64 #s(literal -2 binary64) x)) (.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 y #s(approx (+ (* 2 x) y) (.f64 #s(literal -2 binary64) x)) (.f64 x x))
(fma.f64 x x (.f64 #s(approx (+ ( 2 x) y) (*.f64 #s(literal -2 binary64) x)) y))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 x x) (.f64 #s(approx (+ (* 2 x) y) (.f64 #s(literal -2 binary64) x)) y))) (/.f64 (pow.f64 (.f64 #s(approx (+ (* 2 x) y) (.f64 #s(literal -2 binary64) x)) y) #s(literal 2 binary64)) (-.f64 (.f64 x x) (.f64 #s(approx (+ ( 2 x) y) (*.f64 #s(literal -2 binary64) x)) y))))
(-.f64 (/.f64 (pow.f64 (.f64 #s(approx (+ ( 2 x) y) (.f64 #s(literal -2 binary64) x)) y) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 #s(approx (+ (* 2 x) y) (.f64 #s(literal -2 binary64) x)) y) #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 #s(approx (+ ( 2 x) y) (.f64 #s(literal -2 binary64) x)) y) (.f64 (neg.f64 x) x))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (pow.f64 (.f64 #s(approx (+ ( 2 x) y) (.f64 #s(literal -2 binary64) x)) y) #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 #s(approx (+ ( 2 x) y) (.f64 #s(literal -2 binary64) x)) y) (.f64 (neg.f64 x) x))))))
(-.f64 (/.f64 (pow.f64 (.f64 #s(approx (+ ( 2 x) y) (.f64 #s(literal -2 binary64) x)) y) #s(literal 2 binary64)) (fma.f64 #s(approx (+ ( 2 x) y) (.f64 #s(literal -2 binary64) x)) y (.f64 (neg.f64 x) x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(approx (+ (* 2 x) y) (.f64 #s(literal -2 binary64) x)) y (.f64 (neg.f64 x) x))))
(-.f64 (.f64 #s(approx (+ ( 2 x) y) (.f64 #s(literal -2 binary64) x)) y) (.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)))
(-.f64 (.f64 #s(approx (+ ( 2 x) y) (.f64 #s(literal -2 binary64) x)) y) (.f64 (neg.f64 x) x))
(-.f64 (.f64 x x) (.f64 (neg.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal -2 binary64) x))) y))
(-.f64 (.f64 x x) (.f64 (neg.f64 y) #s(approx (+ (* 2 x) y) (*.f64 #s(literal -2 binary64) x))))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 (.f64 #s(approx (+ ( 2 x) y) (.f64 #s(literal -2 binary64) x)) y) #s(literal 2 binary64)) (.f64 #s(approx (+ (* 2 x) y) (.f64 #s(literal -2 binary64) x)) (.f64 y (.f64 x x)))))) (/.f64 (pow.f64 (.f64 #s(approx (+ (* 2 x) y) (.f64 #s(literal -2 binary64) x)) y) #s(literal 3 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 (.f64 #s(approx (+ (* 2 x) y) (.f64 #s(literal -2 binary64) x)) y) #s(literal 2 binary64)) (.f64 #s(approx (+ (* 2 x) y) (.f64 #s(literal -2 binary64) x)) (.f64 y (*.f64 x x)))))))
(+.f64 (/.f64 (pow.f64 (.f64 #s(approx (+ ( 2 x) y) (.f64 #s(literal -2 binary64) x)) y) #s(literal 3 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 (.f64 #s(approx (+ (* 2 x) y) (.f64 #s(literal -2 binary64) x)) y) #s(literal 2 binary64)) (.f64 #s(approx (+ (* 2 x) y) (.f64 #s(literal -2 binary64) x)) (.f64 y (.f64 x x)))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 (.f64 #s(approx (+ (* 2 x) y) (.f64 #s(literal -2 binary64) x)) y) #s(literal 2 binary64)) (.f64 #s(approx (+ (* 2 x) y) (.f64 #s(literal -2 binary64) x)) (.f64 y (*.f64 x x)))))))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 x x) (-.f64 (.f64 x x) (.f64 #s(approx (+ ( 2 x) y) (.f64 #s(literal -2 binary64) x)) y)) (pow.f64 (.f64 #s(approx (+ (* 2 x) y) (.f64 #s(literal -2 binary64) x)) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 #s(approx (+ (* 2 x) y) (.f64 #s(literal -2 binary64) x)) y) #s(literal 3 binary64)) (fma.f64 (.f64 x x) (-.f64 (.f64 x x) (.f64 #s(approx (+ (* 2 x) y) (.f64 #s(literal -2 binary64) x)) y)) (pow.f64 (.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal -2 binary64) x)) y) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (.f64 #s(approx (+ ( 2 x) y) (.f64 #s(literal -2 binary64) x)) y) #s(literal 3 binary64)) (fma.f64 (.f64 x x) (-.f64 (.f64 x x) (.f64 #s(approx (+ (* 2 x) y) (.f64 #s(literal -2 binary64) x)) y)) (pow.f64 (.f64 #s(approx (+ (* 2 x) y) (.f64 #s(literal -2 binary64) x)) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 x x) (-.f64 (.f64 x x) (.f64 #s(approx (+ (* 2 x) y) (.f64 #s(literal -2 binary64) x)) y)) (pow.f64 (.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal -2 binary64) x)) y) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (.f64 #s(approx (+ ( 2 x) y) (.f64 #s(literal -2 binary64) x)) y) #s(literal 2 binary64)) (fma.f64 #s(approx (+ ( 2 x) y) (.f64 #s(literal -2 binary64) x)) y (.f64 (neg.f64 x) x))) (/.f64 (.f64 (.f64 (neg.f64 x) x) (.f64 x x)) (fma.f64 #s(approx (+ ( 2 x) y) (.f64 #s(literal -2 binary64) x)) y (.f64 (neg.f64 x) x))))
(+.f64 (.f64 #s(approx (+ ( 2 x) y) (.f64 #s(literal -2 binary64) x)) y) (.f64 (neg.f64 (neg.f64 x)) x))
(+.f64 (.f64 #s(approx (+ ( 2 x) y) (.f64 #s(literal -2 binary64) x)) y) (.f64 x x))
(+.f64 (.f64 x x) (.f64 #s(approx (+ (* 2 x) y) (*.f64 #s(literal -2 binary64) x)) y))
(*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 x))))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))

eval99.0ms (2%)

Memory: 0.9MiB live, 100.0MiB allocated; 14ms collecting garbage
Compiler: Compiled 14 646 to 1 689 computations (88.5% saved)

prune43.0ms (0.9%)

Memory

0.5MiB live, 44.1MiB allocated; 5ms collecting garbage

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	371	0	371
Fresh	0	0	0
Picked	0	3	3
Done	0	4	4
Total	371	7	378

Accuracy

100.0%

Counts

378 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 y (fma.f64 #s(literal 2 binary64) x y) (*.f64 x x))
✓	54.6%	(fma.f64 y #s(approx (+ (* 2 x) y) (+.f64 x x)) (*.f64 x x))
✓	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)))
✓	11.6%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (.f64 #s(approx (+ ( 2 x) y) (+.f64 x x)) y))
✓	13.4%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (.f64 #s(approx (+ ( 2 x) y) (*.f64 x #s(literal -2 binary64))) y))
✓	58.2%	#s(approx (+ (+ (* x x) (* (* x 2) y)) (* y y)) (*.f64 y y))

Compiler

Compiled 314 to 123 computations (60.8% saved)

regimes10.0ms (0.2%)

Memory

34.8MiB live, 34.8MiB allocated; 0ms collecting garbage

Counts

10 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

regimes38.0ms (0.8%)

Memory

-5.8MiB live, 38.6MiB allocated; 5ms collecting garbage

Counts

8 → 1

Calls

Call 1

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

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

Calls

3 calls:

32.0ms	y
3.0ms	x
3.0ms	(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x #s(literal 2 binary64)) y)) (.f64 y 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)

regimes34.0ms (0.7%)

Memory

-17.7MiB live, 26.5MiB allocated; 4ms collecting garbage

Accuracy

Total -33.5b remaining (-125.3%)

Threshold costs -33.5b (-125.3%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

3 calls:

30.0ms	x
2.0ms	y
2.0ms	(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x #s(literal 2 binary64)) y)) (.f64 y y))

Results

Accuracy	Segments	Branch
58.2%	1	`(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x #s(literal 2 binary64)) y)) (.f64 y y))`
58.2%	1	`x`
58.2%	1	`y`

Compiler

Compiled 15 to 13 computations (13.3% saved)

simplify55.0ms (1.1%)

Memory

0.5MiB live, 60.0MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	17	47
1	40	43
2	128	43
3	336	43
4	660	43
5	1018	35
6	1502	35
7	3705	35
8	6002	35

Stop Event

1×	node limit

Calls

Call 1

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

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

derivations294.0ms (6%)

Memory

-22.3MiB live, 262.6MiB allocated; 18ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	177
1	194	169
2	746	157
3	3571	149
0	8118	140
0	9	33
0	15	33
1	65	29
2	568	29
0	9286	26

Stop Event

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

Compiler

Compiled 47 to 18 computations (61.7% saved)

preprocess54.0ms (1.1%)

Memory: 19.7MiB live, 67.0MiB allocated; 2ms collecting garbage
Compiler: Compiled 164 to 84 computations (48.8% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample1.2s (24.5%)

explain207.0ms (4.2%)

preprocess170.0ms (3.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify89.0ms (1.8%)

localize44.0ms (0.9%)

series7.0ms (0.2%)

simplify180.0ms (3.7%)

rewrite138.0ms (2.8%)

eval28.0ms (0.6%)

prune30.0ms (0.6%)

simplify87.0ms (1.8%)

localize72.0ms (1.5%)

series7.0ms (0.2%)

simplify271.0ms (5.5%)

rewrite401.0ms (8.2%)

eval110.0ms (2.2%)

prune91.0ms (1.8%)

simplify71.0ms (1.4%)

localize60.0ms (1.2%)

series4.0ms (0.1%)

simplify227.0ms (4.6%)

rewrite137.0ms (2.8%)

eval48.0ms (1%)

prune5.0ms (0.1%)

simplify82.0ms (1.7%)

localize61.0ms (1.2%)

series7.0ms (0.1%)

simplify157.0ms (3.2%)

rewrite292.0ms (5.9%)

eval99.0ms (2%)

prune43.0ms (0.9%)

regimes10.0ms (0.2%)

regimes38.0ms (0.8%)

regimes34.0ms (0.7%)

simplify55.0ms (1.1%)

derivations294.0ms (6%)

preprocess54.0ms (1.1%)

end0.0ms (0%)

Profiling