Metrics for Numeric.Log:$cexpm1 from log-domain-0.10.2.1, B

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample927.0ms (22%)

Memory

-13.2MiB live, 1 081.4MiB allocated; 206ms collecting garbage

Samples

678.0ms	8 255×	0	valid
0.0ms	1×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 281.0ms

ival-add: 156.0ms (55.6% of total)

ival-mult: 114.0ms (40.6% of total)

ival-true: 5.0ms (1.8% of total)

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

adjust: 2.0ms (0.7% of total)

Bogosity

explain152.0ms (3.6%)

Memory

3.1MiB live, 138.5MiB allocated; 21ms collecting garbage

FPErrors

Click to see full error table

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

22.0ms

512×

valid

Compiler

Compiled 45 to 19 computations (57.8% saved)

Precisions

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

ival-add: 4.0ms (43.5% of total)

ival-mult: 4.0ms (43.5% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess236.0ms (5.6%)

Memory

4.8MiB live, 264.0MiB allocated; 40ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	52
1	47	47
2	102	45
3	224	43
4	338	42
5	541	42
6	1491	42
7	4106	42
0	5	7
0	8	7
1	13	7
2	29	7
3	54	7
4	105	7
5	193	7
6	585	7
7	2486	7
8	6895	7
0	8216	6

Stop Event

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

Calls

Call 1

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

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

Symmetry

(sort x y)

Compiler

Compiled 7 to 5 computations (28.6% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify162.0ms (3.9%)

Memory

-11.5MiB live, 174.5MiB allocated; 29ms collecting garbage

Localize:

Found 3 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x y)
cost-diff	0	(+.f64 (+.f64 (*.f64 x y) x) y)
cost-diff	1	(+.f64 (*.f64 x y) x)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	17
0	8	17
1	13	17
2	29	17
3	54	17
4	105	17
5	193	17
6	585	17
7	2486	17
8	6895	17
0	8216	15

Stop Event

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

Calls

Call 1

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

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

localize15.0ms (0.4%)

Memory

32.0MiB live, 32.0MiB allocated; 0ms collecting garbage

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x y)
accuracy	0.00390625	(+.f64 (+.f64 (*.f64 x y) x) y)
accuracy	0.01171875	(+.f64 (*.f64 x y) x)

Samples

10.0ms

256×

valid

Compiler

Compiled 19 to 7 computations (63.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-add: 2.0ms (45% of total)

ival-mult: 2.0ms (45% of total)

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

adjust: 0.0ms (0% of total)

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

series18.0ms (0.4%)

Memory

-33.7MiB live, 9.5MiB allocated; 8ms collecting garbage

Counts

3 → 20

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
14.0ms	x	@	-inf	((+ (* x y) x) (+ (+ (* x y) x) y) (* x y))
1.0ms	y	@	inf	((+ (* x y) x) (+ (+ (* x y) x) y) (* x y))
1.0ms	x	@	inf	((+ (* x y) x) (+ (+ (* x y) x) y) (* x y))
1.0ms	y	@	-inf	((+ (* x y) x) (+ (+ (* x y) x) y) (* x y))
1.0ms	x	@	0	((+ (* x y) x) (+ (+ (* x y) x) y) (* x y))

simplify168.0ms (4%)

Memory

6.0MiB live, 197.1MiB allocated; 24ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	238
1	165	238
2	446	238
3	1254	238
4	4854	238
0	8174	204

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 20

Calls

Call 1

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

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

rewrite372.0ms (8.8%)

Memory

-26.4MiB live, 378.5MiB allocated; 136ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	15
0	8	15
1	38	15
2	328	15
3	5248	15
0	8438	13

Stop Event

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

Counts

3 → 156

Calls

Call 1

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

Outputs
(.f64 (/.f64 (.f64 x (fma.f64 (.f64 y y) x (neg.f64 x))) (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (fma.f64 y x x) x (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 x (.f64 y x)) x) #s(literal 2 binary64)))) (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (-.f64 x (.f64 y x)) x)))
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (-.f64 x (.f64 y x)) x) #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 6 binary64)))) (fma.f64 (.f64 (-.f64 x (.f64 y x)) x) (-.f64 (.f64 (-.f64 x (.f64 y x)) x) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 (*.f64 y x) #s(literal 4 binary64))))
(.f64 (/.f64 (.f64 x (fma.f64 (.f64 y y) x (neg.f64 x))) (.f64 x (fma.f64 (*.f64 y y) x (neg.f64 x)))) (fma.f64 y x x))
(*.f64 (+.f64 #s(literal 1 binary64) y) x)
(.f64 (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (.f64 y x)))) (/.f64 (fma.f64 y x x) (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (*.f64 y x))))))
(.f64 (fma.f64 y x x) (/.f64 (-.f64 (.f64 y x) x) (-.f64 (*.f64 y x) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (.f64 y x) x)) #s(literal 2 binary64)) (pow.f64 (.f64 x (/.f64 x (-.f64 (.f64 y x) x))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (.f64 y x) x)) (.f64 x (/.f64 x (-.f64 (.f64 y x) x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (.f64 y x))))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (.f64 y x))))) #s(literal 2 binary64))) (-.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (.f64 y x))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (.f64 y x)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (.f64 y x) x)) #s(literal 3 binary64)) (pow.f64 (.f64 x (/.f64 x (-.f64 (.f64 y x) x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (.f64 y x) x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 x (/.f64 x (-.f64 (.f64 y x) x))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (.f64 y x) x)) (.f64 x (/.f64 x (-.f64 (*.f64 y x) x)))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (.f64 y x)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (.f64 y x))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (.f64 y x))))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (.f64 y x))))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (.f64 y x))))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (.f64 y x))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (.f64 y x)))))))))
(/.f64 (neg.f64 (.f64 x (-.f64 x (.f64 (.f64 y y) x)))) (neg.f64 (-.f64 x (.f64 y x))))
(/.f64 (neg.f64 (neg.f64 (.f64 x (fma.f64 (.f64 y y) x (neg.f64 x))))) (neg.f64 (neg.f64 (-.f64 (*.f64 y x) x))))
(/.f64 (neg.f64 (neg.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (.f64 y x)))))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (.f64 y x) x)) (.f64 (-.f64 (.f64 y x) x) (.f64 x x))) (pow.f64 (-.f64 (*.f64 y x) x) #s(literal 2 binary64)))
(/.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (.f64 y x)))) (.f64 (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (.f64 y x)))) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (*.f64 y x)))) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (.f64 (fma.f64 x x (pow.f64 (.f64 y x) #s(literal 2 binary64))) (-.f64 (.f64 y x) x)))
(/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (.f64 (+.f64 (fma.f64 (.f64 y y) (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (.f64 y x) #s(literal 4 binary64))) (-.f64 (*.f64 y x) x)))
(/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (.f64 y x))))))
(/.f64 (.f64 x (-.f64 x (.f64 (.f64 y y) x))) (-.f64 x (.f64 y x)))
(/.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (.f64 y x) #s(literal 9 binary64))) (.f64 (-.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (.f64 (.f64 x x) y) #s(literal 3 binary64))) (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (.f64 y x))))))
(/.f64 (neg.f64 (.f64 x (fma.f64 (.f64 y y) x (neg.f64 x)))) (neg.f64 (-.f64 (*.f64 y x) x)))
(/.f64 (neg.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (.f64 y x))))))
(/.f64 (.f64 x (fma.f64 (.f64 y y) x (neg.f64 x))) (-.f64 (*.f64 y x) x))
(/.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (.f64 y x)))))
(neg.f64 (neg.f64 (fma.f64 y x x)))
(fma.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (fma.f64 y x x) x (pow.f64 (.f64 y x) #s(literal 2 binary64))) (/.f64 (.f64 (neg.f64 x) x) (-.f64 (*.f64 y x) x)))
(fma.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 x (fma.f64 (.f64 y y) x (neg.f64 x)))) (fma.f64 y x x) (/.f64 (.f64 (neg.f64 x) x) (-.f64 (*.f64 y x) x)))
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(fma.f64 (/.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (-.f64 x (.f64 y x)) x) #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 6 binary64)))) (fma.f64 (.f64 (-.f64 x (.f64 y x)) x) (-.f64 (.f64 (-.f64 x (.f64 y x)) x) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 (.f64 y x) #s(literal 4 binary64))) y)
(fma.f64 (/.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)) (-.f64 (pow.f64 (fma.f64 y x x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (+.f64 (fma.f64 y x x) y) (pow.f64 (fma.f64 y x x) #s(literal 2 binary64))) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 (fma.f64 y x x) y)))
(fma.f64 (/.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)) (fma.f64 (neg.f64 y) y (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)))) (+.f64 (fma.f64 y x x) y) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 (fma.f64 y x x) y)))
(fma.f64 (/.f64 (pow.f64 (fma.f64 y x x) #s(literal 3 binary64)) (-.f64 (pow.f64 (fma.f64 y x x) #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 y (fma.f64 y x x)) y) #s(literal 2 binary64)))) (-.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)) (.f64 (-.f64 y (fma.f64 y x x)) y)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y (fma.f64 y x x)) y (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)))))
(fma.f64 (/.f64 (pow.f64 (fma.f64 y x x) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (-.f64 y (fma.f64 y x x)) y) #s(literal 3 binary64)) (pow.f64 (fma.f64 y x x) #s(literal 6 binary64)))) (fma.f64 (.f64 (-.f64 y (fma.f64 y x x)) y) (-.f64 (*.f64 (-.f64 y (fma.f64 y x x)) y) (pow.f64 (fma.f64 y x x) #s(literal 2 binary64))) (pow.f64 (fma.f64 y x x) #s(literal 4 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y (fma.f64 y x x)) y (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)))))
(fma.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (-.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 x (.f64 y x)) x) #s(literal 2 binary64)))) (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (-.f64 x (.f64 y x)) x)) (+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (.f64 y x))))) y))
(fma.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (-.f64 x (.f64 y x)) x) #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 6 binary64)))) (fma.f64 (.f64 (-.f64 x (.f64 y x)) x) (-.f64 (.f64 (-.f64 x (.f64 y x)) x) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 (.f64 y x) #s(literal 4 binary64))) (+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (*.f64 y x))))) y))
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 (fma.f64 y x x) #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 y (fma.f64 y x x)) y) #s(literal 2 binary64)))) (-.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)) (.f64 (-.f64 y (fma.f64 y x x)) y)) (/.f64 (pow.f64 (fma.f64 y x x) #s(literal 3 binary64)) (fma.f64 (-.f64 y (fma.f64 y x x)) y (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)))))
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (-.f64 y (fma.f64 y x x)) y) #s(literal 3 binary64)) (pow.f64 (fma.f64 y x x) #s(literal 6 binary64)))) (fma.f64 (.f64 (-.f64 y (fma.f64 y x x)) y) (-.f64 (*.f64 (-.f64 y (fma.f64 y x x)) y) (pow.f64 (fma.f64 y x x) #s(literal 2 binary64))) (pow.f64 (fma.f64 y x x) #s(literal 4 binary64))) (/.f64 (pow.f64 (fma.f64 y x x) #s(literal 3 binary64)) (fma.f64 (-.f64 y (fma.f64 y x x)) y (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)))))
(fma.f64 (/.f64 (.f64 x (fma.f64 (.f64 y y) x (neg.f64 x))) (.f64 x (fma.f64 (.f64 y y) x (neg.f64 x)))) (fma.f64 y x x) y)
(fma.f64 (+.f64 x #s(literal 1 binary64)) y x)
(fma.f64 (+.f64 #s(literal 1 binary64) y) x y)
(fma.f64 (pow.f64 (fma.f64 y x x) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (fma.f64 y x x) #s(literal 3/2 binary64)) (fma.f64 (-.f64 y (fma.f64 y x x)) y (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y (fma.f64 y x x)) y (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)))))
(fma.f64 (pow.f64 y #s(literal 3/2 binary64)) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) (fma.f64 (-.f64 y (fma.f64 y x x)) y (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (fma.f64 y x x) #s(literal 3 binary64)) (fma.f64 (-.f64 y (fma.f64 y x x)) y (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (.f64 y x) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (.f64 y x) #s(literal 3/2 binary64)) (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (.f64 y x))))) (+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (.f64 y x))))) y))
(fma.f64 (neg.f64 (fma.f64 y x x)) (/.f64 (neg.f64 (fma.f64 y x x)) (-.f64 (fma.f64 y x x) y)) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 (fma.f64 y x x) y)))
(fma.f64 (fabs.f64 (fma.f64 y x x)) (/.f64 (fabs.f64 (fma.f64 y x x)) (-.f64 (fma.f64 y x x) y)) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 (fma.f64 y x x) y)))
(fma.f64 (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (.f64 y x)))) (/.f64 (fma.f64 y x x) (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (.f64 y x))))) y)
(fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (/.f64 (.f64 y x) (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (.f64 y x))))) (+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (.f64 y x))))) y))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (.f64 y x))))) (+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (.f64 y x))))) y))
(fma.f64 (*.f64 y y) (/.f64 y (fma.f64 (-.f64 y (fma.f64 y x x)) y (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (fma.f64 y x x) #s(literal 3 binary64)) (fma.f64 (-.f64 y (fma.f64 y x x)) y (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)) (/.f64 (fma.f64 y x x) (fma.f64 (-.f64 y (fma.f64 y x x)) y (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y (fma.f64 y x x)) y (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (.f64 y x))))) (+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (.f64 y x))))) y))
(fma.f64 (fma.f64 y x x) (/.f64 (-.f64 (.f64 y x) x) (-.f64 (.f64 y x) x)) y)
(fma.f64 (fma.f64 y x x) (/.f64 (fma.f64 y x x) (-.f64 (fma.f64 y x x) y)) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 (fma.f64 y x x) y)))
(fma.f64 (fma.f64 y x x) (/.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)) (fma.f64 (-.f64 y (fma.f64 y x x)) y (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y (fma.f64 y x x)) y (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)))))
(fma.f64 (.f64 y x) (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (.f64 y x))))) (+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (.f64 y x))))) y))
(fma.f64 y (/.f64 (*.f64 y y) (fma.f64 (-.f64 y (fma.f64 y x x)) y (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (fma.f64 y x x) #s(literal 3 binary64)) (fma.f64 (-.f64 y (fma.f64 y x x)) y (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)))))
(fma.f64 y x (+.f64 y x))
(fma.f64 x (+.f64 #s(literal 1 binary64) y) y)
(fma.f64 x y (+.f64 y x))
(-.f64 (+.f64 y (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (.f64 y x) x))) (.f64 x (/.f64 x (-.f64 (.f64 y x) x))))
(-.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (-.f64 (.f64 y x) x) y)) (/.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 (-.f64 (*.f64 y x) x) y)))
(-.f64 (/.f64 (*.f64 y y) (-.f64 y (fma.f64 y x x))) (/.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)) (-.f64 y (fma.f64 y x x))))
(-.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (.f64 y x) x)) (-.f64 (.f64 x (/.f64 x (-.f64 (.f64 y x) x))) y))
(-.f64 (/.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)) (-.f64 (fma.f64 y x x) y)) (*.f64 y (/.f64 y (-.f64 (fma.f64 y x x) y))))
(-.f64 (+.f64 y x) (*.f64 (neg.f64 y) x))
(-.f64 y (neg.f64 (fma.f64 y x x)))
(-.f64 x (-.f64 (*.f64 (neg.f64 y) x) y))
(+.f64 (+.f64 y (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (.f64 y x)))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (*.f64 y x))))))
(+.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (+.f64 y x) (-.f64 (+.f64 y x) (.f64 y x)) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (fma.f64 (+.f64 y x) (-.f64 (+.f64 y x) (.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(+.f64 (fma.f64 y x y) x)
(+.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (.f64 y x))))) (+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 x (fma.f64 (.f64 y y) x (-.f64 x (*.f64 y x))))) y))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y (fma.f64 y x x)) y (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (fma.f64 y x x) #s(literal 3 binary64)) (fma.f64 (-.f64 y (fma.f64 y x x)) y (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (fma.f64 y x x) #s(literal 3 binary64)) (fma.f64 (-.f64 y (fma.f64 y x x)) y (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y (fma.f64 y x x)) y (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)) (-.f64 (fma.f64 y x x) y)) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 (fma.f64 y x x) y)))
(+.f64 (+.f64 y x) (*.f64 y x))
(+.f64 (fma.f64 y x x) y)
(+.f64 (*.f64 y x) (+.f64 y x))
(+.f64 y (fma.f64 y x x))
(+.f64 x (fma.f64 y x y))
(*.f64 y x)
(*.f64 x y)

eval17.0ms (0.4%)

Memory: 39.1MiB live, 39.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 5 063 to 530 computations (89.5% saved)

prune28.0ms (0.7%)

Memory

-27.4MiB live, 17.6MiB allocated; 5ms collecting garbage

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	159	6	165
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	160	6	166

Accuracy

100.0%

Counts

166 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (+.f64 x #s(literal 1 binary64)) y x)
▶	73.3%	(+.f64 #s(approx (+ (* x y) x) x) y)
	60.3%	#s(approx (+ (+ (* x y) x) y) (fma.f64 y x y))
▶	67.1%	#s(approx (+ (+ (* x y) x) y) (fma.f64 y x x))
▶	34.4%	#s(approx (+ (+ (* x y) x) y) y)
▶	41.4%	#s(approx (+ (+ (* x y) x) y) x)

Compiler

Compiled 114 to 74 computations (35.1% saved)

simplify179.0ms (4.2%)

Memory

32.8MiB live, 177.1MiB allocated; 15ms collecting garbage

Localize:

Found 8 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	68
0	20	63
1	34	63
2	66	63
3	143	63
4	547	63
5	1910	63
6	6312	63
0	8142	63

Stop Event

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

Calls

Call 1

Inputs
(fma.f64 (+.f64 x #s(literal 1 binary64)) y x)
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
y
#s(approx (+ (+ (* x y) x) y) x)
x
#s(approx (+ (+ (* x y) x) y) y)
y
(+.f64 #s(approx (+ (* x y) x) x) y)
#s(approx (+ (* x y) x) x)
x
y
#s(approx (+ (+ (* x y) x) y) (fma.f64 y x x))
(fma.f64 y x x)
y
x

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

localize66.0ms (1.6%)

Memory

2.1MiB live, 48.7MiB allocated; 4ms collecting garbage

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 y x x)
accuracy	21.08284120632083	#s(approx (+ (+ (* x y) x) y) (fma.f64 y x x))
accuracy	0.00390625	(+.f64 #s(approx (+ (* x y) x) x) y)
accuracy	30.677830506750432	#s(approx (+ (* x y) x) x)
accuracy	41.96179160457848	#s(approx (+ (+ (* x y) x) y) y)
accuracy	37.52233536338615	#s(approx (+ (+ (* x y) x) y) x)
accuracy	0.0	(+.f64 x #s(literal 1 binary64))
accuracy	0.0078125	(fma.f64 (+.f64 x #s(literal 1 binary64)) y x)

Samples

58.0ms

256×

valid

Compiler

Compiled 59 to 13 computations (78% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-add: 6.0ms (56% of total)

ival-mult: 5.0ms (46.6% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series54.0ms (1.3%)

Memory

-36.7MiB live, 9.0MiB allocated; 7ms collecting garbage

Counts

8 → 41

Calls

Call 1

Inputs
(fma.f64 (+.f64 x #s(literal 1 binary64)) y x)
(+.f64 x #s(literal 1 binary64))
#s(approx (+ (+ (* x y) x) y) x)
#s(approx (+ (+ (* x y) x) y) y)
(+.f64 #s(approx (+ (* x y) x) x) y)
#s(approx (+ (* x y) x) x)
#s(approx (+ (+ (* x y) x) y) (fma.f64 y x x))
(fma.f64 y x x)

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

Calls

6 calls:

Time	Variable		Point	Expression
49.0ms	x	@	0	((+ (* (+ x 1) y) x) (+ x 1) (+ (+ (* x y) x) y) (+ (+ (* x y) x) y) (+ (+ (* x y) x) y) (+ (* x y) x) (+ (+ (* x y) x) y) (+ (* y x) x))
1.0ms	y	@	-inf	((+ (* (+ x 1) y) x) (+ x 1) (+ (+ (* x y) x) y) (+ (+ (* x y) x) y) (+ (+ (* x y) x) y) (+ (* x y) x) (+ (+ (* x y) x) y) (+ (* y x) x))
1.0ms	x	@	-inf	((+ (* (+ x 1) y) x) (+ x 1) (+ (+ (* x y) x) y) (+ (+ (* x y) x) y) (+ (+ (* x y) x) y) (+ (* x y) x) (+ (+ (* x y) x) y) (+ (* y x) x))
1.0ms	x	@	inf	((+ (* (+ x 1) y) x) (+ x 1) (+ (+ (* x y) x) y) (+ (+ (* x y) x) y) (+ (+ (* x y) x) y) (+ (* x y) x) (+ (+ (* x y) x) y) (+ (* y x) x))
0.0ms	y	@	0	((+ (* (+ x 1) y) x) (+ x 1) (+ (+ (* x y) x) y) (+ (+ (* x y) x) y) (+ (+ (* x y) x) y) (+ (* x y) x) (+ (+ (* x y) x) y) (+ (* y x) x))

simplify142.0ms (3.4%)

Memory

31.8MiB live, 170.5MiB allocated; 24ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	96	473
1	233	473
2	634	473
3	2001	473
4	6581	473
0	8106	407

Stop Event

1×	iter limit
1×	node limit

Counts

41 → 41

Calls

Call 1

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

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

rewrite41.0ms (1%)

Memory

3.8MiB live, 49.3MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	59
0	20	54
1	103	54
0	726	54

Stop Event

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

Counts

8 → 55

Calls

Call 1

Inputs
(fma.f64 (+.f64 x #s(literal 1 binary64)) y x)
(+.f64 x #s(literal 1 binary64))
#s(approx (+ (+ (* x y) x) y) x)
#s(approx (+ (+ (* x y) x) y) y)
(+.f64 #s(approx (+ (* x y) x) x) y)
#s(approx (+ (* x y) x) x)
#s(approx (+ (+ (* x y) x) y) (fma.f64 y x x))
(fma.f64 y x x)

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

eval37.0ms (0.9%)

Memory: -4.6MiB live, 50.4MiB allocated; 15ms collecting garbage
Compiler: Compiled 1 184 to 197 computations (83.4% saved)

prune44.0ms (1%)

Memory

-28.2MiB live, 10.6MiB allocated; 16ms collecting garbage

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	62	1	63
Fresh	0	1	1
Picked	0	5	5
Done	0	0	0
Total	62	7	69

Accuracy

100.0%

Counts

69 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (+.f64 x #s(literal 1 binary64)) y x)
✓	73.3%	(+.f64 #s(approx (+ (* x y) x) x) y)
▶	60.3%	#s(approx (+ (+ (* x y) x) y) (fma.f64 y x y))
✓	67.1%	#s(approx (+ (+ (* x y) x) y) (fma.f64 y x x))
▶	67.1%	#s(approx (+ (+ (* x y) x) y) (*.f64 (-.f64 y #s(literal -1 binary64)) x))
✓	34.4%	#s(approx (+ (+ (* x y) x) y) y)
✓	41.4%	#s(approx (+ (+ (* x y) x) y) x)

Compiler

Compiled 70 to 46 computations (34.3% saved)

simplify189.0ms (4.5%)

Memory

9.8MiB live, 192.3MiB allocated; 82ms collecting garbage

Localize:

Found 5 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	42
0	15	42
1	23	40
2	41	40
3	70	40
4	131	40
5	243	40
6	823	40
7	2984	40
8	7174	40
0	8790	38

Stop Event

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

Calls

Call 1

Inputs
#s(approx (+ (+ (* x y) x) y) (*.f64 (-.f64 y #s(literal -1 binary64)) x))
(*.f64 (-.f64 y #s(literal -1 binary64)) x)
(-.f64 y #s(literal -1 binary64))
y
#s(literal -1 binary64)
x
#s(approx (+ (+ (* x y) x) y) (fma.f64 y x y))
(fma.f64 y x y)
y
x

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

localize26.0ms (0.6%)

Memory

14.4MiB live, 60.6MiB allocated; 3ms collecting garbage

Localize:

Found 5 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 y x y)
accuracy	25.4362760334525	#s(approx (+ (+ (* x y) x) y) (fma.f64 y x y))
accuracy	0.0	(-.f64 y #s(literal -1 binary64))
accuracy	0.00390625	(*.f64 (-.f64 y #s(literal -1 binary64)) x)
accuracy	21.08284120632083	#s(approx (+ (+ (* x y) x) y) (*.f64 (-.f64 y #s(literal -1 binary64)) x))

Samples

20.0ms

256×

valid

Compiler

Compiled 34 to 12 computations (64.7% saved)

Precisions

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

ival-mult: 7.0ms (57.9% of total)

ival-add: 3.0ms (24.8% of total)

ival-sub: 1.0ms (8.3% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Memory

10.4MiB live, 10.5MiB allocated; 0ms collecting garbage

Counts

5 → 29

Calls

Call 1

Inputs
(*.f64 (-.f64 y #s(literal -1 binary64)) x)
#s(approx (+ (+ (* x y) x) y) (*.f64 (-.f64 y #s(literal -1 binary64)) x))
(-.f64 y #s(literal -1 binary64))
#s(approx (+ (+ (* x y) x) y) (fma.f64 y x y))
(fma.f64 y x y)

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

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	((* (- y -1) x) (+ (+ (* x y) x) y) (- y -1) (+ (+ (* x y) x) y) (+ (* y x) y))
1.0ms	y	@	-inf	((* (- y -1) x) (+ (+ (* x y) x) y) (- y -1) (+ (+ (* x y) x) y) (+ (* y x) y))
1.0ms	x	@	inf	((* (- y -1) x) (+ (+ (* x y) x) y) (- y -1) (+ (+ (* x y) x) y) (+ (* y x) y))
1.0ms	y	@	inf	((* (- y -1) x) (+ (+ (* x y) x) y) (- y -1) (+ (+ (* x y) x) y) (+ (* y x) y))
1.0ms	x	@	0	((* (- y -1) x) (+ (+ (* x y) x) y) (- y -1) (+ (+ (* x y) x) y) (+ (* y x) y))

simplify109.0ms (2.6%)

Memory

6.3MiB live, 198.3MiB allocated; 16ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	83	315
1	214	315
2	540	315
3	1575	315
4	6991	315
0	8023	271

Stop Event

1×	iter limit
1×	node limit

Counts

29 → 29

Calls

Call 1

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

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

rewrite40.0ms (0.9%)

Memory

22.1MiB live, 62.7MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	37
0	15	37
1	74	35
0	530	35

Stop Event

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

Counts

5 → 30

Calls

Call 1

Inputs
(*.f64 (-.f64 y #s(literal -1 binary64)) x)
#s(approx (+ (+ (* x y) x) y) (*.f64 (-.f64 y #s(literal -1 binary64)) x))
(-.f64 y #s(literal -1 binary64))
#s(approx (+ (+ (* x y) x) y) (fma.f64 y x y))
(fma.f64 y x y)

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

eval20.0ms (0.5%)

Memory: -23.0MiB live, 29.9MiB allocated; 17ms collecting garbage
Compiler: Compiled 805 to 147 computations (81.7% saved)

prune3.0ms (0.1%)

Memory

12.9MiB live, 12.9MiB allocated; 0ms collecting garbage

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	42	1	43
Fresh	0	0	0
Picked	0	2	2
Done	0	5	5
Total	42	8	50

Accuracy

100.0%

Counts

50 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (+.f64 x #s(literal 1 binary64)) y x)
✓	73.3%	(+.f64 #s(approx (+ (* x y) x) x) y)
✓	60.3%	#s(approx (+ (+ (* x y) x) y) (fma.f64 y x y))
✓	67.1%	#s(approx (+ (+ (* x y) x) y) (fma.f64 y x x))
✓	67.1%	#s(approx (+ (+ (* x y) x) y) (*.f64 (-.f64 y #s(literal -1 binary64)) x))
▶	27.9%	#s(approx (+ (+ (* x y) x) y) (*.f64 #s(approx (- y -1) y) x))
✓	34.4%	#s(approx (+ (+ (* x y) x) y) y)
✓	41.4%	#s(approx (+ (+ (* x y) x) y) x)

Compiler

Compiled 85 to 56 computations (34.1% saved)

simplify216.0ms (5.1%)

Memory

2.8MiB live, 196.3MiB allocated; 64ms collecting garbage

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
cost-diff	0	#s(approx (- y -1) y)
cost-diff	0	(*.f64 #s(approx (- y -1) y) x)
cost-diff	0	#s(approx (+ (+ (* x y) x) y) (*.f64 #s(approx (- y -1) y) x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	29
0	11	29
1	17	29
2	33	29
3	58	29
4	108	29
5	200	29
6	608	29
7	2667	29
8	6684	29
0	8142	28

Stop Event

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

Calls

Call 1

Inputs
#s(approx (+ (+ (* x y) x) y) (*.f64 #s(approx (- y -1) y) x))
(*.f64 #s(approx (- y -1) y) x)
#s(approx (- y -1) y)
y
x

Outputs
#s(approx (+ (+ (* x y) x) y) (*.f64 #s(approx (- y -1) y) x))
(*.f64 #s(approx (- y -1) y) x)
#s(approx (- y -1) y)
y
x

localize42.0ms (1%)

Memory

1.3MiB live, 51.0MiB allocated; 6ms collecting garbage

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(*.f64 #s(approx (- y -1) y) x)
accuracy	21.08284120632083	#s(approx (+ (+ (* x y) x) y) (*.f64 #s(approx (- y -1) y) x))
accuracy	32.23662391584791	#s(approx (- y -1) y)

Samples

36.0ms

256×

valid

Compiler

Compiled 19 to 10 computations (47.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-mult: 26.0ms (87% of total)

ival-add: 2.0ms (6.7% of total)

ival-sub: 1.0ms (3.3% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series39.0ms (0.9%)

Memory

-37.4MiB live, 9.4MiB allocated; 3ms collecting garbage

Counts

3 → 22

Calls

Call 1

Inputs
#s(approx (+ (+ (* x y) x) y) (*.f64 #s(approx (- y -1) y) x))
(*.f64 #s(approx (- y -1) y) x)
#s(approx (- y -1) y)

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

Calls

6 calls:

Time	Variable		Point	Expression
36.0ms	x	@	0	((+ (+ (* x y) x) y) (* (- y -1) x) (- y -1))
1.0ms	x	@	-inf	((+ (+ (* x y) x) y) (* (- y -1) x) (- y -1))
1.0ms	x	@	inf	((+ (+ (* x y) x) y) (* (- y -1) x) (- y -1))
0.0ms	y	@	-inf	((+ (+ (* x y) x) y) (* (- y -1) x) (- y -1))
0.0ms	y	@	inf	((+ (+ (* x y) x) y) (* (- y -1) x) (- y -1))

simplify164.0ms (3.9%)

Memory

33.1MiB live, 219.1MiB allocated; 15ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	248
1	179	248
2	468	248
3	1452	248
4	6390	248
0	8054	216

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 22

Calls

Call 1

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

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

rewrite30.0ms (0.7%)

Memory

-7.6MiB live, 38.5MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	27
0	11	27
1	53	27
0	432	26

Stop Event

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

Counts

3 → 4

Calls

Call 1

Inputs
#s(approx (+ (+ (* x y) x) y) (*.f64 #s(approx (- y -1) y) x))
(*.f64 #s(approx (- y -1) y) x)
#s(approx (- y -1) y)

Outputs
#s(approx (+ (+ (* x y) x) y) (*.f64 #s(approx (- y -1) y) x))
(*.f64 #s(approx (- y -1) y) x)
(*.f64 x #s(approx (- y -1) y))
#s(approx (- y -1) y)

eval2.0ms (0%)

Memory: 5.5MiB live, 5.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 214 to 42 computations (80.4% saved)

prune4.0ms (0.1%)

Memory

9.7MiB live, 9.7MiB allocated; 0ms collecting garbage

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	15	0	15
Fresh	0	0	0
Picked	0	1	1
Done	0	7	7
Total	15	8	23

Accuracy

100.0%

Counts

23 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (+.f64 x #s(literal 1 binary64)) y x)
✓	73.3%	(+.f64 #s(approx (+ (* x y) x) x) y)
✓	60.3%	#s(approx (+ (+ (* x y) x) y) (fma.f64 y x y))
✓	67.1%	#s(approx (+ (+ (* x y) x) y) (fma.f64 y x x))
✓	67.1%	#s(approx (+ (+ (* x y) x) y) (*.f64 (-.f64 y #s(literal -1 binary64)) x))
✓	27.9%	#s(approx (+ (+ (* x y) x) y) (*.f64 #s(approx (- y -1) y) x))
✓	34.4%	#s(approx (+ (+ (* x y) x) y) y)
✓	41.4%	#s(approx (+ (+ (* x y) x) y) x)

Compiler

Compiled 177 to 84 computations (52.5% saved)

regimes14.0ms (0.3%)

Memory

-18.5MiB live, 33.6MiB allocated; 6ms collecting garbage

Counts

9 → 1

Calls

Call 1

Inputs
#s(approx (+ (+ (* x y) x) y) x)
#s(approx (+ (+ (* x y) x) y) y)
(+.f64 #s(approx (+ (* x y) x) x) y)
#s(approx (+ (+ (* x y) x) y) (*.f64 #s(approx (- y -1) y) x))
#s(approx (+ (+ (* x y) x) y) (fma.f64 y x x))
#s(approx (+ (+ (* x y) x) y) (fma.f64 y x y))
#s(approx (+ (+ (* x y) x) y) (*.f64 (-.f64 y #s(literal -1 binary64)) x))
(fma.f64 (+.f64 x #s(literal 1 binary64)) y x)
(+.f64 (+.f64 (*.f64 x y) x) y)

Outputs
(fma.f64 (+.f64 x #s(literal 1 binary64)) y x)

Calls

3 calls:

8.0ms	y
3.0ms	x
3.0ms	(+.f64 (+.f64 (*.f64 x y) x) y)

Results

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

Compiler

Compiled 9 to 9 computations (0% saved)

regimes11.0ms (0.3%)

Memory

-19.4MiB live, 26.0MiB allocated; 4ms collecting garbage

Counts

7 → 2

Calls

Call 1

Inputs
#s(approx (+ (+ (* x y) x) y) x)
#s(approx (+ (+ (* x y) x) y) y)
(+.f64 #s(approx (+ (* x y) x) x) y)
#s(approx (+ (+ (* x y) x) y) (*.f64 #s(approx (- y -1) y) x))
#s(approx (+ (+ (* x y) x) y) (fma.f64 y x x))
#s(approx (+ (+ (* x y) x) y) (fma.f64 y x y))
#s(approx (+ (+ (* x y) x) y) (*.f64 (-.f64 y #s(literal -1 binary64)) x))

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

Calls

3 calls:

5.0ms	(+.f64 (+.f64 (*.f64 x y) x) y)
3.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
98.7%	2	`(+.f64 (+.f64 (*.f64 x y) x) y)`
99.5%	3	`x`
99.4%	3	`y`

Compiler

Compiled 9 to 9 computations (0% saved)

regimes3.0ms (0.1%)

Memory

8.8MiB live, 8.8MiB allocated; 0ms collecting garbage

Counts

6 → 2

Calls

Call 1

Inputs
#s(approx (+ (+ (* x y) x) y) x)
#s(approx (+ (+ (* x y) x) y) y)
(+.f64 #s(approx (+ (* x y) x) x) y)
#s(approx (+ (+ (* x y) x) y) (*.f64 #s(approx (- y -1) y) x))
#s(approx (+ (+ (* x y) x) y) (fma.f64 y x x))
#s(approx (+ (+ (* x y) x) y) (fma.f64 y x y))

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

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
98.7%	2	`(+.f64 (+.f64 (*.f64 x y) x) y)`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes7.0ms (0.2%)

Memory

21.2MiB live, 21.2MiB allocated; 0ms collecting garbage

Counts

5 → 3

Calls

Call 1

Inputs
#s(approx (+ (+ (* x y) x) y) x)
#s(approx (+ (+ (* x y) x) y) y)
(+.f64 #s(approx (+ (* x y) x) x) y)
#s(approx (+ (+ (* x y) x) y) (*.f64 #s(approx (- y -1) y) x))
#s(approx (+ (+ (* x y) x) y) (fma.f64 y x x))

Outputs
#s(approx (+ (+ (* x y) x) y) (fma.f64 y x x))
(+.f64 #s(approx (+ (* x y) x) x) y)
#s(approx (+ (+ (* x y) x) y) (*.f64 #s(approx (- y -1) y) x))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
83.5%	3	`y`
98.7%	3	`x`
92.5%	3	`(+.f64 (+.f64 (*.f64 x y) x) y)`

Compiler

Compiled 9 to 9 computations (0% saved)

regimes4.0ms (0.1%)

Memory

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

Counts

4 → 3

Calls

Call 1

Inputs
#s(approx (+ (+ (* x y) x) y) x)
#s(approx (+ (+ (* x y) x) y) y)
(+.f64 #s(approx (+ (* x y) x) x) y)
#s(approx (+ (+ (* x y) x) y) (*.f64 #s(approx (- y -1) y) x))

Outputs
#s(approx (+ (+ (* x y) x) y) (*.f64 #s(approx (- y -1) y) x))
(+.f64 #s(approx (+ (* x y) x) x) y)
#s(approx (+ (+ (* x y) x) y) (*.f64 #s(approx (- y -1) y) x))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
86.1%	3	`(+.f64 (+.f64 (*.f64 x y) x) y)`
83.3%	3	`x`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes8.0ms (0.2%)

Memory

-31.2MiB live, 14.6MiB allocated; 5ms collecting garbage

Counts

3 → 1

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	y
2.0ms	x
1.0ms	(+.f64 (+.f64 (*.f64 x y) x) y)

Results

Accuracy	Segments	Branch
73.3%	1	`x`
73.3%	1	`y`
73.3%	1	`(+.f64 (+.f64 (*.f64 x y) x) y)`

Compiler

Compiled 9 to 9 computations (0% saved)

regimes4.0ms (0.1%)

Memory

14.0MiB live, 14.0MiB allocated; 0ms collecting garbage

Counts

2 → 2

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
63.1%	2	`x`
64.2%	2	`y`
72.7%	2	`(+.f64 (+.f64 (*.f64 x y) x) y)`

Compiler

Compiled 9 to 9 computations (0% saved)

regimes3.0ms (0.1%)

Memory

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

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
41.4%	1	`x`
41.4%	1	`y`
41.4%	1	`(+.f64 (+.f64 (*.f64 x y) x) y)`

Compiler

Compiled 9 to 9 computations (0% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-2.529668460726159e-251	7.82550598996691e-268

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-2.529668460726159e-251	7.82550598996691e-268

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch30.0ms (0.7%)

Memory

-35.6MiB live, 61.9MiB allocated; 11ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	0.0787458060881219	228768316702213.47
13.0ms	-172.3380623548953	-5.144850093457254e-7

Samples

14.0ms

304×

valid

Compiler

Compiled 439 to 325 computations (26% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 5.0ms (63.8% of total)

ival-add: 3.0ms (38.3% of total)

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

adjust: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.6MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.1486755255919788e+238	2.1458326544216945e+241
0.0ms	-2.5159157922730974e+302	-1.1788914048222342e+301

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-2.529668460726159e-251	7.82550598996691e-268

Compiler

Compiled 10 to 10 computations (0% saved)

simplify35.0ms (0.8%)

Memory

12.8MiB live, 60.1MiB allocated; 2ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	210
1	55	210
2	76	210
3	110	210
4	200	210
5	610	210
6	4916	210

Stop Event

1×	node limit

Calls

Call 1

Inputs
(fma.f64 (+.f64 x #s(literal 1 binary64)) y x)
(if (<=.f64 (+.f64 (+.f64 (.f64 x y) x) y) #s(literal -5159126280621731/257956314031086546070478410603767874276780920916074961976543314954430616482775810290242800726395111276696481930301332362735521269288420672485614735577607215287298185546389201254263436365442598170421988724712494337962904439820098505292185985726092029535907510203973632 binary64)) #s(approx (+ (+ ( x y) x) y) (.f64 (-.f64 y #s(literal -1 binary64)) x)) #s(approx (+ (+ ( x y) x) y) (fma.f64 y x y)))
(if (<=.f64 (+.f64 (+.f64 (.f64 x y) x) y) #s(literal -5159126280621731/257956314031086546070478410603767874276780920916074961976543314954430616482775810290242800726395111276696481930301332362735521269288420672485614735577607215287298185546389201254263436365442598170421988724712494337962904439820098505292185985726092029535907510203973632 binary64)) #s(approx (+ (+ ( x y) x) y) (fma.f64 y x x)) #s(approx (+ (+ (* x y) x) y) (fma.f64 y x y)))
(if (<=.f64 x #s(literal -1 binary64)) #s(approx (+ (+ (* x y) x) y) (fma.f64 y x x)) (if (<=.f64 x #s(literal 860000000000 binary64)) (+.f64 #s(approx (+ (* x y) x) x) y) #s(approx (+ (+ (* x y) x) y) (*.f64 #s(approx (- y -1) y) x))))
(if (<=.f64 (+.f64 (+.f64 (.f64 x y) x) y) #s(literal -200000000000000015259406158169789850694693710301313623403203468412422760576251588968284377929383568153279495154277097522744420775689599876583631222701039661500335299712977963253072736190829214628470302116746917973781650311318127235431726410565244781018568366879717234206167471347699798409140996315021312 binary64)) #s(approx (+ (+ ( x y) x) y) (.f64 #s(approx (- y -1) y) x)) (if (<=.f64 (+.f64 (+.f64 (.f64 x y) x) y) #s(literal 40000000000000001945903893149060041619392612399884220638941241589674604509430938803167612022280515642126955783555328569714338388662038834492785865819864594858697283926172343242228052880157501208293402494583566494524476715636026609219141632 binary64)) (+.f64 #s(approx (+ (* x y) x) x) y) #s(approx (+ (+ (* x y) x) y) (*.f64 #s(approx (- y -1) y) x))))
(+.f64 #s(approx (+ (* x y) x) x) y)
(if (<=.f64 (+.f64 (+.f64 (.f64 x y) x) y) #s(literal -5159126280621731/257956314031086546070478410603767874276780920916074961976543314954430616482775810290242800726395111276696481930301332362735521269288420672485614735577607215287298185546389201254263436365442598170421988724712494337962904439820098505292185985726092029535907510203973632 binary64)) #s(approx (+ (+ ( x y) x) y) x) #s(approx (+ (+ (* x y) x) y) y))
#s(approx (+ (+ (* x y) x) y) x)

Outputs
(fma.f64 (+.f64 x #s(literal 1 binary64)) y x)
(if (<=.f64 (+.f64 (+.f64 (.f64 x y) x) y) #s(literal -5159126280621731/257956314031086546070478410603767874276780920916074961976543314954430616482775810290242800726395111276696481930301332362735521269288420672485614735577607215287298185546389201254263436365442598170421988724712494337962904439820098505292185985726092029535907510203973632 binary64)) #s(approx (+ (+ ( x y) x) y) (.f64 (-.f64 y #s(literal -1 binary64)) x)) #s(approx (+ (+ ( x y) x) y) (fma.f64 y x y)))
(if (<=.f64 (+.f64 (+.f64 (.f64 x y) x) y) #s(literal -5159126280621731/257956314031086546070478410603767874276780920916074961976543314954430616482775810290242800726395111276696481930301332362735521269288420672485614735577607215287298185546389201254263436365442598170421988724712494337962904439820098505292185985726092029535907510203973632 binary64)) #s(approx (+ (+ ( x y) x) y) (fma.f64 y x x)) #s(approx (+ (+ (* x y) x) y) (fma.f64 y x y)))
(if (<=.f64 x #s(literal -1 binary64)) #s(approx (+ (+ (* x y) x) y) (fma.f64 y x x)) (if (<=.f64 x #s(literal 860000000000 binary64)) (+.f64 #s(approx (+ (* x y) x) x) y) #s(approx (+ (+ (* x y) x) y) (*.f64 #s(approx (- y -1) y) x))))
(if (<=.f64 (+.f64 (+.f64 (.f64 x y) x) y) #s(literal -200000000000000015259406158169789850694693710301313623403203468412422760576251588968284377929383568153279495154277097522744420775689599876583631222701039661500335299712977963253072736190829214628470302116746917973781650311318127235431726410565244781018568366879717234206167471347699798409140996315021312 binary64)) #s(approx (+ (+ ( x y) x) y) (.f64 #s(approx (- y -1) y) x)) (if (<=.f64 (+.f64 (+.f64 (.f64 x y) x) y) #s(literal 40000000000000001945903893149060041619392612399884220638941241589674604509430938803167612022280515642126955783555328569714338388662038834492785865819864594858697283926172343242228052880157501208293402494583566494524476715636026609219141632 binary64)) (+.f64 #s(approx (+ (* x y) x) x) y) #s(approx (+ (+ (* x y) x) y) (*.f64 #s(approx (- y -1) y) x))))
(if (or (<=.f64 (+.f64 (+.f64 (.f64 x y) x) y) #s(literal -200000000000000015259406158169789850694693710301313623403203468412422760576251588968284377929383568153279495154277097522744420775689599876583631222701039661500335299712977963253072736190829214628470302116746917973781650311318127235431726410565244781018568366879717234206167471347699798409140996315021312 binary64)) (not (<=.f64 (+.f64 (+.f64 (.f64 x y) x) y) #s(literal 40000000000000001945903893149060041619392612399884220638941241589674604509430938803167612022280515642126955783555328569714338388662038834492785865819864594858697283926172343242228052880157501208293402494583566494524476715636026609219141632 binary64)))) #s(approx (+ (+ (* x y) x) y) (.f64 #s(approx (- y -1) y) x)) (+.f64 #s(approx (+ ( x y) x) x) y))
(+.f64 #s(approx (+ (* x y) x) x) y)
(if (<=.f64 (+.f64 (+.f64 (.f64 x y) x) y) #s(literal -5159126280621731/257956314031086546070478410603767874276780920916074961976543314954430616482775810290242800726395111276696481930301332362735521269288420672485614735577607215287298185546389201254263436365442598170421988724712494337962904439820098505292185985726092029535907510203973632 binary64)) #s(approx (+ (+ ( x y) x) y) x) #s(approx (+ (+ (* x y) x) y) y))
#s(approx (+ (+ (* x y) x) y) x)

derivations458.0ms (10.8%)

Memory

-3.9MiB live, 321.2MiB allocated; 114ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 210 to 45 computations (78.6% saved)

preprocess98.0ms (2.3%)

Memory: 11.4MiB live, 57.3MiB allocated; 13ms collecting garbage
Remove: (sort x y)
Compiler: Compiled 446 to 110 computations (75.3% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample927.0ms (22%)

explain152.0ms (3.6%)

preprocess236.0ms (5.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify162.0ms (3.9%)

localize15.0ms (0.4%)

series18.0ms (0.4%)

simplify168.0ms (4%)

rewrite372.0ms (8.8%)

eval17.0ms (0.4%)

prune28.0ms (0.7%)

simplify179.0ms (4.2%)

localize66.0ms (1.6%)

series54.0ms (1.3%)

simplify142.0ms (3.4%)

rewrite41.0ms (1%)

eval37.0ms (0.9%)

prune44.0ms (1%)

simplify189.0ms (4.5%)

localize26.0ms (0.6%)

series4.0ms (0.1%)

simplify109.0ms (2.6%)

rewrite40.0ms (0.9%)

eval20.0ms (0.5%)

prune3.0ms (0.1%)

simplify216.0ms (5.1%)

localize42.0ms (1%)

series39.0ms (0.9%)

simplify164.0ms (3.9%)

rewrite30.0ms (0.7%)

eval2.0ms (0%)

prune4.0ms (0.1%)

regimes14.0ms (0.3%)

regimes11.0ms (0.3%)

regimes3.0ms (0.1%)

regimes7.0ms (0.2%)

regimes4.0ms (0.1%)

regimes8.0ms (0.2%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch30.0ms (0.7%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

simplify35.0ms (0.8%)

derivations458.0ms (10.8%)

preprocess98.0ms (2.3%)

end0.0ms (0%)

Profiling