Metrics for Examples.Basics.BasicTests:f3 from sbv-4.4

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 9 to 6 computations (33.3% saved)

sample827.0ms (11.8%)

Memory

8.0MiB live, 987.3MiB allocated; 262ms collecting garbage

Samples

495.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 261.0ms

ival-add: 156.0ms (59.8% of total)

ival-mult: 93.0ms (35.6% of total)

ival-true: 6.0ms (2.3% of total)

adjust: 3.0ms (1.1% of total)

ival-assert: 3.0ms (1.1% of total)

Bogosity

explain51.0ms (0.7%)

Memory

-22.2MiB live, 124.9MiB allocated; 13ms collecting garbage

FPErrors

Click to see full error table

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

29.0ms

512×

valid

Compiler

Compiled 35 to 16 computations (54.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-mult: 10.0ms (65.8% of total)

ival-add: 4.0ms (26.3% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess187.0ms (2.7%)

Memory

23.7MiB live, 206.2MiB allocated; 42ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	52
1	64	52
2	208	48
3	708	46
4	1094	46
5	1750	42
6	3022	42
7	3781	42
8	4327	42
9	5986	42
0	4	7
0	6	7
1	17	7
2	53	7
3	170	7
4	506	7
5	852	7
6	1525	7
7	2342	7
8	2851	7
9	4067	7
10	6234	7
0	8018	7

Stop Event

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

Calls

Call 1

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

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

Symmetry

(sort x y)

Compiler

Compiled 7 to 4 computations (42.9% 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

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

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 4 computations (42.9% saved)

simplify105.0ms (1.5%)

Memory

16.0MiB live, 140.4MiB allocated; 29ms collecting garbage

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(+.f64 x y)
cost-diff	0	(*.f64 (+.f64 x y) (+.f64 x y))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	12
0	6	12
1	17	12
2	53	12
3	170	12
4	506	12
5	852	12
6	1525	12
7	2342	12
8	2851	12
9	4067	12
10	6234	12
0	8018	12

Stop Event

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

Calls

Call 1

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

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

localize13.0ms (0.2%)

Memory

13.4MiB live, 13.4MiB allocated; 0ms collecting garbage

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(+.f64 x y)
accuracy	0.01953125	(*.f64 (+.f64 x y) (+.f64 x y))

Samples

9.0ms

256×

valid

Compiler

Compiled 14 to 6 computations (57.1% saved)

Precisions

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

ival-mult: 2.0ms (59.8% of total)

ival-add: 1.0ms (29.9% of total)

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

adjust: 0.0ms (0% of total)

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

series3.0ms (0%)

Memory

2.7MiB live, 2.7MiB allocated; 0ms collecting garbage

Counts

2 → 19

Calls

Call 1

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

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

Calls

6 calls:

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

simplify260.0ms (3.7%)

Memory

-48.5MiB live, 209.0MiB allocated; 80ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	85	261
1	249	261
2	826	237
3	3757	229
0	8851	225

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 19

Calls

Call 1

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

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

rewrite200.0ms (2.9%)

Memory

24.1MiB live, 215.3MiB allocated; 25ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	10
0	6	8
1	32	8
2	253	8
3	3160	8
0	10222	8

Stop Event

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

Counts

2 → 482

Calls

Call 1

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

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

eval88.0ms (1.3%)

Memory: 7.2MiB live, 233.1MiB allocated; 38ms collecting garbage
Compiler: Compiled 15 323 to 1 288 computations (91.6% saved)

prune14.0ms (0.2%)

Memory

25.6MiB live, 69.7MiB allocated; 3ms collecting garbage

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	663	7	670
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	664	7	671

Accuracy

100.0%

Counts

671 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	53.1%	(fma.f64 x x (-.f64 (.f64 y x) (.f64 (-.f64 y x) y)))
▶	55.9%	(*.f64 (+.f64 x y) #s(approx (+ x y) y))
▶	59.5%	(*.f64 (+.f64 x y) #s(approx (+ x y) x))
▶	59.7%	#s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x))
	56.2%	#s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y))
▶	55.8%	#s(approx (* (+ x y) (+ x y)) (*.f64 y y))
▶	58.8%	#s(approx (* (+ x y) (+ x y)) (*.f64 x x))

Compiler

Compiled 160 to 94 computations (41.3% saved)

simplify162.0ms (2.3%)

Memory

-39.1MiB live, 153.5MiB allocated; 16ms collecting garbage

Localize:

Found 13 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	95
0	26	95
1	53	95
2	148	95
3	416	95
4	898	95
5	2767	95
6	6227	95
0	8096	95

Stop Event

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

Calls

Call 1

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

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

localize32.0ms (0.5%)

Memory

18.5MiB live, 63.4MiB allocated; 5ms collecting garbage

Localize:

Found 13 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 x y)
accuracy	0.01953125	(*.f64 (+.f64 x y) #s(approx (+ x y) y))
accuracy	33.34471744310029	#s(approx (+ x y) y)
accuracy	0.0	(+.f64 x y)
accuracy	0.01953125	(*.f64 (+.f64 x y) #s(approx (+ x y) x))
accuracy	29.196401244642114	#s(approx (+ x y) x)
accuracy	0.0	(*.f64 y y)
accuracy	28.272459745287986	#s(approx (* (+ x y) (+ x y)) (*.f64 y y))
accuracy	0.0	(*.f64 x x)
accuracy	26.389949195874955	#s(approx (* (+ x y) (+ x y)) (*.f64 x x))
accuracy	0.0	(fma.f64 #s(literal 2 binary64) y x)
accuracy	0.0078125	(*.f64 (fma.f64 #s(literal 2 binary64) y x) x)
accuracy	25.78211219937433	#s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x))

Samples

24.0ms

256×

valid

Compiler

Compiled 76 to 12 computations (84.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-mult: 7.0ms (53.8% of total)

ival-add: 5.0ms (38.4% 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 (0.1%)

Memory

17.6MiB live, 17.6MiB allocated; 0ms collecting garbage

Counts

12 → 35

Calls

Call 1

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

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

Calls

6 calls:

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

simplify270.0ms (3.8%)

Memory

-5.2MiB live, 289.8MiB allocated; 68ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	119	512
1	330	502
2	1227	482
3	6222	482
0	8337	453

Stop Event

1×	iter limit
1×	node limit

Counts

35 → 35

Calls

Call 1

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

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

rewrite44.0ms (0.6%)

Memory

-4.0MiB live, 40.0MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	83
0	26	77
1	77	77
0	546	77

Stop Event

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

Counts

12 → 109

Calls

Call 1

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

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

eval19.0ms (0.3%)

Memory: -10.2MiB live, 33.6MiB allocated; 10ms collecting garbage
Compiler: Compiled 2 586 to 392 computations (84.8% saved)

prune5.0ms (0.1%)

Memory

13.1MiB live, 13.1MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	149	1	150
Fresh	1	1	2
Picked	0	5	5
Done	0	0	0
Total	150	7	157

Accuracy

100.0%

Counts

157 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	55.9%	(*.f64 (+.f64 x y) #s(approx (+ x y) y))
✓	59.5%	(*.f64 (+.f64 x y) #s(approx (+ x y) x))
▶	60.5%	#s(approx (* (+ x y) (+ x y)) (fma.f64 (.f64 #s(literal 2 binary64) y) x (.f64 x x)))
✓	59.7%	#s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x))
▶	56.2%	#s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y))
✓	55.8%	#s(approx (* (+ x y) (+ x y)) (*.f64 y y))
✓	58.8%	#s(approx (* (+ x y) (+ x y)) (*.f64 x x))

Compiler

Compiled 84 to 49 computations (41.7% saved)

simplify140.0ms (2%)

Memory

-11.9MiB live, 135.2MiB allocated; 26ms collecting garbage

Localize:

Found 7 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	60
0	19	58
1	50	58
2	147	58
3	397	58
4	964	58
5	2939	58
6	5896	58
0	8201	56

Stop Event

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

Calls

Call 1

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

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

localize47.0ms (0.7%)

Memory

-14.9MiB live, 29.7MiB allocated; 10ms collecting garbage

Localize:

Found 7 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x x)
accuracy	0.0	(*.f64 #s(literal 2 binary64) y)
accuracy	0.49999449521112044	(fma.f64 (.f64 #s(literal 2 binary64) y) x (.f64 x x))
accuracy	25.78211219937433	#s(approx (* (+ x y) (+ x y)) (fma.f64 (.f64 #s(literal 2 binary64) y) x (.f64 x x)))
accuracy	0.0	(fma.f64 #s(literal 2 binary64) x y)
accuracy	0.00390625	(*.f64 (fma.f64 #s(literal 2 binary64) x y) y)
accuracy	28.011108890335496	#s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y))

Samples

21.0ms

256×

valid

Compiler

Compiled 49 to 14 computations (71.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-mult: 9.0ms (70.1% of total)

ival-add: 4.0ms (31.2% 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)

series8.0ms (0.1%)

Memory

10.3MiB live, 10.3MiB allocated; 0ms collecting garbage

Counts

7 → 35

Calls

Call 1

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

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

Calls

6 calls:

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

simplify3.4s (48.1%)

Memory

-250.0MiB live, 603.9MiB allocated; 3.7s collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	113	556
1	326	548
2	1175	524
3	5462	524
0	8113	487

Stop Event

1×	iter limit
1×	node limit

Counts

35 → 35

Calls

Call 1

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

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

rewrite68.0ms (1%)

Memory

-37.2MiB live, 116.2MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	54
0	19	48
1	86	48
0	698	46

Stop Event

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

Counts

7 → 99

Calls

Call 1

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

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

eval19.0ms (0.3%)

Memory: -7.7MiB live, 38.2MiB allocated; 3ms collecting garbage
Compiler: Compiled 2 577 to 410 computations (84.1% saved)

prune4.0ms (0.1%)

Memory

16.3MiB live, 16.3MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	123	1	124
Fresh	0	0	0
Picked	1	1	2
Done	0	5	5
Total	124	7	131

Accuracy

100.0%

Counts

131 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	55.9%	(*.f64 (+.f64 x y) #s(approx (+ x y) y))
✓	59.5%	(*.f64 (+.f64 x y) #s(approx (+ x y) x))
▶	60.5%	#s(approx (* (+ x y) (+ x y)) (fma.f64 (+.f64 y y) x (*.f64 x x)))
✓	59.7%	#s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x))
✓	56.2%	#s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y))
✓	55.8%	#s(approx (* (+ x y) (+ x y)) (*.f64 y y))
✓	58.8%	#s(approx (* (+ x y) (+ x y)) (*.f64 x x))

Compiler

Compiled 84 to 48 computations (42.9% saved)

simplify160.0ms (2.3%)

Memory

25.1MiB live, 164.3MiB allocated; 24ms collecting garbage

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	32
0	12	30
1	35	30
2	108	30
3	318	30
4	773	30
5	1585	30
6	3779	30
7	7031	30
0	8015	28

Stop Event

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

Calls

Call 1

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

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

localize22.0ms (0.3%)

Memory

4.2MiB live, 51.0MiB allocated; 2ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 y y)
accuracy	0.0	(*.f64 x x)
accuracy	0.49999449521112044	(fma.f64 (+.f64 y y) x (*.f64 x x))
accuracy	25.78211219937433	#s(approx (* (+ x y) (+ x y)) (fma.f64 (+.f64 y y) x (*.f64 x x)))

Samples

16.0ms

256×

valid

Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-mult: 5.0ms (58.7% of total)

ival-add: 4.0ms (46.9% of total)

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

adjust: 0.0ms (0% of total)

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

series34.0ms (0.5%)

Memory

-25.2MiB live, 37.2MiB allocated; 24ms collecting garbage

Counts

4 → 21

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
31.0ms	y	@	inf	((+ (* (+ y y) x) (* x x)) (* (+ x y) (+ x y)) (+ y y) (* x x))
1.0ms	y	@	-inf	((+ (* (+ y y) x) (* x x)) (* (+ x y) (+ x y)) (+ y y) (* x x))
1.0ms	x	@	inf	((+ (* (+ y y) x) (* x x)) (* (+ x y) (+ x y)) (+ y y) (* x x))
1.0ms	x	@	-inf	((+ (* (+ y y) x) (* x x)) (* (+ x y) (+ x y)) (+ y y) (* x x))
0.0ms	x	@	0	((+ (* (+ y y) x) (* x x)) (* (+ x y) (+ x y)) (+ y y) (* x x))

simplify209.0ms (3%)

Memory

21.7MiB live, 242.2MiB allocated; 53ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	83	363
1	246	353
2	962	333
3	5165	333
0	8063	315

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 21

Calls

Call 1

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

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

rewrite42.0ms (0.6%)

Memory

-6.5MiB live, 38.7MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	30
0	12	26
1	67	26
0	568	24

Stop Event

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

Counts

4 → 57

Calls

Call 1

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

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

eval7.0ms (0.1%)

Memory: 19.0MiB live, 19.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 511 to 246 computations (83.7% saved)

prune9.0ms (0.1%)

Memory

-30.5MiB live, 15.0MiB allocated; 7ms collecting garbage

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	72	0	72
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	72	7	79

Accuracy

100.0%

Counts

79 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	55.9%	(*.f64 (+.f64 x y) #s(approx (+ x y) y))
✓	59.5%	(*.f64 (+.f64 x y) #s(approx (+ x y) x))
✓	60.5%	#s(approx (* (+ x y) (+ x y)) (fma.f64 (+.f64 y y) x (*.f64 x x)))
✓	59.7%	#s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x))
✓	56.2%	#s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y))
✓	55.8%	#s(approx (* (+ x y) (+ x y)) (*.f64 y y))
✓	58.8%	#s(approx (* (+ x y) (+ x y)) (*.f64 x x))

Compiler

Compiled 203 to 80 computations (60.6% saved)

regimes13.0ms (0.2%)

Memory

31.8MiB live, 31.8MiB allocated; 0ms collecting garbage

Counts

10 → 1

Calls

Call 1

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

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

Calls

4 calls:

3.0ms	y
3.0ms	(+.f64 x y)
3.0ms	x
3.0ms	(*.f64 (+.f64 x y) (+.f64 x y))

Results

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

Compiler

Compiled 12 to 11 computations (8.3% saved)

regimes18.0ms (0.3%)

Memory

-33.7MiB live, 24.8MiB allocated; 12ms collecting garbage

Counts

6 → 2

Calls

Call 1

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

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

Calls

4 calls:

11.0ms	x
2.0ms	(+.f64 x y)
2.0ms	y
2.0ms	(*.f64 (+.f64 x y) (+.f64 x y))

Results

Accuracy	Segments	Branch
100.0%	2	`(+.f64 x y)`
70.6%	5	`(*.f64 (+.f64 x y) (+.f64 x y))`
90.9%	2	`x`
88.4%	2	`y`

Compiler

Compiled 12 to 11 computations (8.3% saved)

regimes2.0ms (0%)

Memory

5.7MiB live, 5.7MiB allocated; 0ms collecting garbage

Counts

5 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

(+.f64 x y)

Results

Accuracy	Segments	Branch
99.8%	2	`(+.f64 x y)`

Compiler

Compiled 3 to 3 computations (0% saved)

regimes2.0ms (0%)

Memory

3.9MiB live, 3.9MiB allocated; 0ms collecting garbage

Counts

4 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

(+.f64 x y)

Results

Accuracy	Segments	Branch
99.5%	2	`(+.f64 x y)`

Compiler

Compiled 3 to 3 computations (0% saved)

regimes2.0ms (0%)

Memory

3.5MiB live, 3.5MiB allocated; 0ms collecting garbage

Counts

3 → 2

Calls

Call 1

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

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

Calls

1 calls:

1.0ms

(+.f64 x y)

Results

Accuracy	Segments	Branch
99.5%	2	`(+.f64 x y)`

Compiler

Compiled 3 to 3 computations (0% saved)

regimes1.0ms (0%)

Memory

3.1MiB live, 3.1MiB allocated; 0ms collecting garbage

Counts

2 → 2

Calls

Call 1

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

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

Calls

1 calls:

1.0ms

(+.f64 x y)

Results

Accuracy	Segments	Branch
99.4%	2	`(+.f64 x y)`

Compiler

Compiled 3 to 3 computations (0% saved)

regimes4.0ms (0.1%)

Memory

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

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
58.8%	1	`(*.f64 (+.f64 x y) (+.f64 x y))`
58.8%	1	`y`
58.8%	1	`x`
58.8%	1	`(+.f64 x y)`

Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-6.278795855950677e-156	-1.8037196808153707e-167

Compiler

Compiled 8 to 9 computations (-12.5% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-6.278795855950677e-156	-1.8037196808153707e-167

Compiler

Compiled 8 to 9 computations (-12.5% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-6.278795855950677e-156	-1.8037196808153707e-167

Compiler

Compiled 8 to 9 computations (-12.5% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-6.278795855950677e-156	-1.8037196808153707e-167

Compiler

Compiled 8 to 9 computations (-12.5% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-6.278795855950677e-156	-1.8037196808153707e-167

Compiler

Compiled 8 to 9 computations (-12.5% saved)

simplify110.0ms (1.6%)

Memory

-35.6MiB live, 54.0MiB allocated; 17ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	159
1	41	159
2	82	159
3	205	159
4	572	159
5	1238	159
6	4979	159

Stop Event

1×	node limit

Calls

Call 1

Inputs
(*.f64 (+.f64 x y) (+.f64 x y))
(if (<=.f64 (+.f64 x y) #s(literal -4830671903771573/966134380754314586173837972732996836074731832426608749664308812862879785572390106134048441645480644490615904007875544294341269665260746913935727168366770187174245203705856 binary64)) #s(approx (* (+ x y) (+ x y)) (.f64 (fma.f64 #s(literal 2 binary64) y x) x)) #s(approx ( (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y)))
(if (<=.f64 (+.f64 x y) #s(literal -4830671903771573/966134380754314586173837972732996836074731832426608749664308812862879785572390106134048441645480644490615904007875544294341269665260746913935727168366770187174245203705856 binary64)) (.f64 (+.f64 x y) #s(approx (+ x y) x)) #s(approx ( (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y)))
(if (<=.f64 (+.f64 x y) #s(literal -4830671903771573/966134380754314586173837972732996836074731832426608749664308812862879785572390106134048441645480644490615904007875544294341269665260746913935727168366770187174245203705856 binary64)) (.f64 (+.f64 x y) #s(approx (+ x y) x)) (.f64 (+.f64 x y) #s(approx (+ x y) y)))
(if (<=.f64 (+.f64 x y) #s(literal -4830671903771573/966134380754314586173837972732996836074731832426608749664308812862879785572390106134048441645480644490615904007875544294341269665260746913935727168366770187174245203705856 binary64)) (.f64 (+.f64 x y) #s(approx (+ x y) x)) #s(approx ( (+ x y) (+ x y)) (*.f64 y y)))
(if (<=.f64 (+.f64 x y) #s(literal -4830671903771573/966134380754314586173837972732996836074731832426608749664308812862879785572390106134048441645480644490615904007875544294341269665260746913935727168366770187174245203705856 binary64)) #s(approx (* (+ x y) (+ x y)) (.f64 x x)) #s(approx ( (+ x y) (+ x y)) (*.f64 y y)))
#s(approx (* (+ x y) (+ x y)) (*.f64 x x))

Outputs
(*.f64 (+.f64 x y) (+.f64 x y))
(if (<=.f64 (+.f64 x y) #s(literal -4830671903771573/966134380754314586173837972732996836074731832426608749664308812862879785572390106134048441645480644490615904007875544294341269665260746913935727168366770187174245203705856 binary64)) #s(approx (* (+ x y) (+ x y)) (.f64 (fma.f64 #s(literal 2 binary64) y x) x)) #s(approx ( (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y)))
(if (<=.f64 (+.f64 x y) #s(literal -4830671903771573/966134380754314586173837972732996836074731832426608749664308812862879785572390106134048441645480644490615904007875544294341269665260746913935727168366770187174245203705856 binary64)) (.f64 (+.f64 x y) #s(approx (+ x y) x)) #s(approx ( (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y)))
(if (<=.f64 (+.f64 x y) #s(literal -4830671903771573/966134380754314586173837972732996836074731832426608749664308812862879785572390106134048441645480644490615904007875544294341269665260746913935727168366770187174245203705856 binary64)) (.f64 (+.f64 x y) #s(approx (+ x y) x)) (.f64 (+.f64 x y) #s(approx (+ x y) y)))
(if (<=.f64 (+.f64 x y) #s(literal -4830671903771573/966134380754314586173837972732996836074731832426608749664308812862879785572390106134048441645480644490615904007875544294341269665260746913935727168366770187174245203705856 binary64)) (.f64 (+.f64 x y) #s(approx (+ x y) x)) #s(approx ( (+ x y) (+ x y)) (*.f64 y y)))
(if (<=.f64 (+.f64 x y) #s(literal -4830671903771573/966134380754314586173837972732996836074731832426608749664308812862879785572390106134048441645480644490615904007875544294341269665260746913935727168366770187174245203705856 binary64)) #s(approx (* (+ x y) (+ x y)) (.f64 x x)) #s(approx ( (+ x y) (+ x y)) (*.f64 y y)))
#s(approx (* (+ x y) (+ x y)) (*.f64 x x))

derivations368.0ms (5.2%)

Memory

-7.3MiB live, 287.1MiB allocated; 101ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 159 to 28 computations (82.4% saved)

preprocess61.0ms (0.9%)

Memory: 39.3MiB live, 87.7MiB allocated; 7ms collecting garbage
Compiler: Compiled 494 to 142 computations (71.3% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample827.0ms (11.8%)

explain51.0ms (0.7%)

preprocess187.0ms (2.7%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify105.0ms (1.5%)

localize13.0ms (0.2%)

series3.0ms (0%)

simplify260.0ms (3.7%)

rewrite200.0ms (2.9%)

eval88.0ms (1.3%)

prune14.0ms (0.2%)

simplify162.0ms (2.3%)

localize32.0ms (0.5%)

series7.0ms (0.1%)

simplify270.0ms (3.8%)

rewrite44.0ms (0.6%)

eval19.0ms (0.3%)

prune5.0ms (0.1%)

simplify140.0ms (2%)

localize47.0ms (0.7%)

series8.0ms (0.1%)

simplify3.4s (48.1%)

rewrite68.0ms (1%)

eval19.0ms (0.3%)

prune4.0ms (0.1%)

simplify160.0ms (2.3%)

localize22.0ms (0.3%)

series34.0ms (0.5%)

simplify209.0ms (3%)

rewrite42.0ms (0.6%)

eval7.0ms (0.1%)

prune9.0ms (0.1%)

regimes13.0ms (0.2%)

regimes18.0ms (0.3%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes1.0ms (0%)

regimes4.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify110.0ms (1.6%)

derivations368.0ms (5.2%)

preprocess61.0ms (0.9%)

end0.0ms (0%)

Profiling