Metrics for Numeric.SpecFunctions:log1p from math-functions-0.1.5.2, A

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB 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 8 computations (11.1% saved)

sample737.0ms (17.3%)

Memory

21.9MiB live, 1 346.2MiB allocated; 288ms collecting garbage

Samples

431.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 203.0ms

ival-mult: 144.0ms (71% of total)

ival-sub: 43.0ms (21.2% of total)

ival-true: 5.0ms (2.5% of total)

exact: 5.0ms (2.5% of total)

ival-assert: 3.0ms (1.5% of total)

adjust: 2.0ms (1% of total)

Bogosity

explain98.0ms (2.3%)

Memory

-16.3MiB live, 129.9MiB allocated; 33ms collecting garbage

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`y`
-	-	`(-.f64 #s(literal 1 binary64) (*.f64 x y))`
-	-	`#s(literal 1 binary64)`
-	-	`(.f64 x (-.f64 #s(literal 1 binary64) (.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

53.0ms

512×

valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-mult: 7.0ms (68.5% of total)

ival-sub: 2.0ms (19.6% 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)

preprocess193.0ms (4.5%)

Memory

9.7MiB live, 241.0MiB allocated; 40ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	37
1	44	37
2	115	35
3	246	35
4	833	35
5	2868	35
0	6	7
0	9	7
1	16	7
2	34	7
3	89	7
4	332	7
5	1381	7
0	8428	7

Stop Event

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

Calls

Call 1

Inputs
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))

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

Compiler

Compiled 7 to 6 computations (14.3% 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

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

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify297.0ms (7%)

Memory

-11.9MiB live, 275.7MiB allocated; 43ms collecting garbage

Localize:

Found 3 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	9	18
1	16	18
2	34	18
3	89	18
4	332	18
5	1381	18
0	8428	18

Stop Event

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

Calls

Call 1

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

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

localize47.0ms (1.1%)

Memory

-13.1MiB live, 48.8MiB allocated; 7ms collecting garbage

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 #s(literal 1 binary64) (*.f64 x y))
accuracy	0.0	(*.f64 x y)
accuracy	0.10546875	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))

Samples

11.0ms

256×

valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-mult: 3.0ms (59.8% of total)

ival-sub: 1.0ms (19.9% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

12.4MiB live, 12.4MiB allocated; 0ms collecting garbage

Counts

3 → 15

Calls

Call 1

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

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

Calls

6 calls:

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

simplify134.0ms (3.2%)

Memory

31.2MiB live, 218.8MiB allocated; 32ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	85
1	112	75
2	275	75
3	1039	75
4	5807	75
0	8279	75

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 14

Calls

Call 1

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

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

rewrite91.0ms (2.1%)

Memory

3.3MiB live, 94.3MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	9	15
1	30	15
0	201	15

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

3 → 30

Calls

Call 1

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

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

eval8.0ms (0.2%)

Memory: -32.8MiB live, 11.4MiB allocated; 6ms collecting garbage
Compiler: Compiled 439 to 108 computations (75.4% saved)

prune4.0ms (0.1%)

Memory

9.8MiB live, 9.8MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	30	6	36
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	30	7	37

Accuracy

99.9%

Counts

37 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 x #s(literal 1 binary64) (.f64 x (.f64 (neg.f64 x) y)))
	66.3%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64))) x) (fma.f64 (*.f64 y x) (fma.f64 y x #s(literal 1 binary64)) #s(literal 1 binary64)))
▶	81.1%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) x) (fma.f64 y x #s(literal 1 binary64)))
▶	84.0%	(.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (fma.f64 y x #s(literal 1 binary64))))
✓	99.8%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))
▶	50.0%	(.f64 x #s(approx (- 1 ( x y)) (*.f64 (neg.f64 x) y)))
▶	51.1%	(.f64 x #s(approx (- 1 ( x y)) #s(literal 1 binary64)))

Compiler

Compiled 161 to 116 computations (28% saved)

simplify151.0ms (3.5%)

Memory

20.5MiB live, 202.6MiB allocated; 33ms collecting garbage

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 (*.f64 y x) #s(literal 2 binary64))
cost-diff	0	(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
cost-diff	0	(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) x)
cost-diff	7	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) x) (fma.f64 y x #s(literal 1 binary64)))
cost-diff	0	(pow.f64 (*.f64 y x) #s(literal 2 binary64))
cost-diff	0	(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
cost-diff	0	(.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (fma.f64 y x #s(literal 1 binary64))))
cost-diff	7	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (fma.f64 y x #s(literal 1 binary64)))
cost-diff	0	(neg.f64 x)
cost-diff	0	(*.f64 (neg.f64 x) y)
cost-diff	0	#s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y))
cost-diff	0	(.f64 x #s(approx (- 1 ( x y)) (*.f64 (neg.f64 x) y)))
cost-diff	0	#s(approx (- 1 (* x y)) #s(literal 1 binary64))
cost-diff	0	(.f64 x #s(approx (- 1 ( x y)) #s(literal 1 binary64)))
cost-diff	0	(neg.f64 x)
cost-diff	0	(*.f64 (neg.f64 x) y)
cost-diff	0	(.f64 x (.f64 (neg.f64 x) y))
cost-diff	2	(fma.f64 x #s(literal 1 binary64) (.f64 x (.f64 (neg.f64 x) y)))

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	22	167
0	37	151
1	67	151
2	182	151
3	537	151
4	2932	144
0	8474	144

Stop Event

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

Calls

Call 1

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

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

localize151.0ms (3.5%)

Memory

-18.5MiB live, 179.3MiB allocated; 37ms collecting garbage

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 y x)
accuracy	0.27181625976844204	(pow.f64 (*.f64 y x) #s(literal 2 binary64))
accuracy	0.5249202898183615	(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) x)
accuracy	10.797239060426131	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) x) (fma.f64 y x #s(literal 1 binary64)))
accuracy	0.0	(*.f64 y x)
accuracy	0.10546875	(.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (fma.f64 y x #s(literal 1 binary64))))
accuracy	0.27181625976844204	(pow.f64 (*.f64 y x) #s(literal 2 binary64))
accuracy	15.58108015080994	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (fma.f64 y x #s(literal 1 binary64)))
accuracy	0.0	(*.f64 (neg.f64 x) y)
accuracy	0.0	(neg.f64 x)
accuracy	0.10546875	(.f64 x #s(approx (- 1 ( x y)) (*.f64 (neg.f64 x) y)))
accuracy	32.36581751489258	#s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y))
accuracy	0.10546875	(.f64 x #s(approx (- 1 ( x y)) #s(literal 1 binary64)))
accuracy	31.459509487521142	#s(approx (- 1 (* x y)) #s(literal 1 binary64))
accuracy	0.0	(*.f64 (neg.f64 x) y)
accuracy	0.0	(neg.f64 x)
accuracy	0.01171875	(fma.f64 x #s(literal 1 binary64) (.f64 x (.f64 (neg.f64 x) y)))
accuracy	0.1640625	(.f64 x (.f64 (neg.f64 x) y))

Samples

93.0ms

256×

valid

Compiler

Compiled 161 to 22 computations (86.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 67.0ms

ival-mult: 55.0ms (82.2% of total)

ival-div: 3.0ms (4.5% of total)

ival-add: 2.0ms (3% of total)

ival-sub: 2.0ms (3% of total)

ival-pow2: 2.0ms (3% of total)

ival-neg: 1.0ms (1.5% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series22.0ms (0.5%)

Memory

-6.3MiB live, 45.9MiB allocated; 13ms collecting garbage

Counts

15 → 29

Calls

Call 1

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

Outputs
x
(* x (+ 1 (* -1 (* x y))))
(* -1 (* (pow x 2) y))
(* -1 (* x y))
(* -1 x)
1
(+ 1 (* -1 (* x y)))
(+ 1 (* -1 (* (pow x 2) (pow y 2))))
(* (pow x 2) (pow y 2))
(* x (+ 1 (* -1 (* (pow x 2) (pow y 2)))))
(* x y)
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* x (- (/ 1 x) y))
(* x (+ (* -1 y) (/ 1 x)))
(* -1 (* (pow x 2) (pow y 2)))
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2)))
(* -1 (* (pow x 3) (pow y 2)))
(* (pow x 3) (+ (* -1 (pow y 2)) (/ 1 (pow x 2))))
(* -1 (* x (- y (/ 1 x))))
(* -1 (* (pow x 3) (- (pow y 2) (/ 1 (pow x 2)))))
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 3) (pow y 2))))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* y (- (/ 1 y) x))
(* y (+ (* -1 x) (/ 1 y)))
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2)))
(* (pow y 2) (+ (* -1 (pow x 3)) (/ x (pow y 2))))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* -1 (* y (- x (/ 1 y))))

Calls

6 calls:

Time	Variable		Point	Expression
8.0ms	y	@	0	((+ (* x 1) (* x (* (neg x) y))) (* x (* (neg x) y)) (* (neg x) y) (neg x) (* x (- 1 (* x y))) (- 1 (* x y)) (* x (- 1 (* x y))) (- 1 (* x y)) (/ (- 1 (pow (* y x) 2)) (+ (* y x) 1)) (* x (/ (- 1 (pow (* y x) 2)) (+ (* y x) 1))) (- 1 (pow (* y x) 2)) (pow (* y x) 2) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (- 1 (pow (* y x) 2)) x) (* y x))
4.0ms	x	@	-inf	((+ (* x 1) (* x (* (neg x) y))) (* x (* (neg x) y)) (* (neg x) y) (neg x) (* x (- 1 (* x y))) (- 1 (* x y)) (* x (- 1 (* x y))) (- 1 (* x y)) (/ (- 1 (pow (* y x) 2)) (+ (* y x) 1)) (* x (/ (- 1 (pow (* y x) 2)) (+ (* y x) 1))) (- 1 (pow (* y x) 2)) (pow (* y x) 2) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (- 1 (pow (* y x) 2)) x) (* y x))
3.0ms	y	@	inf	((+ (* x 1) (* x (* (neg x) y))) (* x (* (neg x) y)) (* (neg x) y) (neg x) (* x (- 1 (* x y))) (- 1 (* x y)) (* x (- 1 (* x y))) (- 1 (* x y)) (/ (- 1 (pow (* y x) 2)) (+ (* y x) 1)) (* x (/ (- 1 (pow (* y x) 2)) (+ (* y x) 1))) (- 1 (pow (* y x) 2)) (pow (* y x) 2) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (- 1 (pow (* y x) 2)) x) (* y x))
3.0ms	x	@	inf	((+ (* x 1) (* x (* (neg x) y))) (* x (* (neg x) y)) (* (neg x) y) (neg x) (* x (- 1 (* x y))) (- 1 (* x y)) (* x (- 1 (* x y))) (- 1 (* x y)) (/ (- 1 (pow (* y x) 2)) (+ (* y x) 1)) (* x (/ (- 1 (pow (* y x) 2)) (+ (* y x) 1))) (- 1 (pow (* y x) 2)) (pow (* y x) 2) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (- 1 (pow (* y x) 2)) x) (* y x))
2.0ms	x	@	0	((+ (* x 1) (* x (* (neg x) y))) (* x (* (neg x) y)) (* (neg x) y) (neg x) (* x (- 1 (* x y))) (- 1 (* x y)) (* x (- 1 (* x y))) (- 1 (* x y)) (/ (- 1 (pow (* y x) 2)) (+ (* y x) 1)) (* x (/ (- 1 (pow (* y x) 2)) (+ (* y x) 1))) (- 1 (pow (* y x) 2)) (pow (* y x) 2) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (- 1 (pow (* y x) 2)) x) (* y x))

simplify394.0ms (9.2%)

Memory

34.0MiB live, 533.1MiB allocated; 114ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	66	212
1	200	182
2	554	182
3	2383	182
0	9174	182

Stop Event

1×	iter limit
1×	node limit

Counts

29 → 28

Calls

Call 1

Inputs
x
(* x (+ 1 (* -1 (* x y))))
(* -1 (* (pow x 2) y))
(* -1 (* x y))
(* -1 x)
1
(+ 1 (* -1 (* x y)))
(+ 1 (* -1 (* (pow x 2) (pow y 2))))
(* (pow x 2) (pow y 2))
(* x (+ 1 (* -1 (* (pow x 2) (pow y 2)))))
(* x y)
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* x (- (/ 1 x) y))
(* x (+ (* -1 y) (/ 1 x)))
(* -1 (* (pow x 2) (pow y 2)))
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2)))
(* -1 (* (pow x 3) (pow y 2)))
(* (pow x 3) (+ (* -1 (pow y 2)) (/ 1 (pow x 2))))
(* -1 (* x (- y (/ 1 x))))
(* -1 (* (pow x 3) (- (pow y 2) (/ 1 (pow x 2)))))
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 3) (pow y 2))))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* y (- (/ 1 y) x))
(* y (+ (* -1 x) (/ 1 y)))
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2)))
(* (pow y 2) (+ (* -1 (pow x 3)) (/ x (pow y 2))))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* -1 (* y (- x (/ 1 y))))

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

rewrite79.0ms (1.8%)

Memory

-22.8MiB live, 70.5MiB allocated; 60ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	123
0	37	100
1	136	100
0	826	100

Stop Event

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

Counts

15 → 263

Calls

Call 1

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

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

eval59.0ms (1.4%)

Memory: -18.5MiB live, 75.5MiB allocated; 10ms collecting garbage
Compiler: Compiled 4 005 to 687 computations (82.8% saved)

prune11.0ms (0.3%)

Memory

-9.0MiB live, 36.3MiB allocated; 4ms collecting garbage

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	234	6	240
Fresh	1	0	1
Picked	3	2	5
Done	1	0	1
Total	239	8	247

Accuracy

100.0%

Counts

247 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	90.0%	(fma.f64 (*.f64 (neg.f64 x) x) y x)
▶	99.9%	(fma.f64 (*.f64 y (neg.f64 x)) x x)
	60.4%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 4 binary64))) x) (.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 y x #s(literal 1 binary64))))
▶	23.8%	(/.f64 #s(approx (* (- 1 (pow (* y x) 2)) x) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) y) (neg.f64 y))) (fma.f64 y x #s(literal 1 binary64)))
▶	84.0%	(.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y x) x) y)) (fma.f64 y x #s(literal 1 binary64))))
▶	84.0%	(.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 y x) (.f64 y x))) (fma.f64 y x #s(literal 1 binary64))))
✓	50.0%	(.f64 x #s(approx (- 1 ( x y)) (*.f64 (neg.f64 x) y)))
✓	51.1%	(.f64 x #s(approx (- 1 ( x y)) #s(literal 1 binary64)))

Compiler

Compiled 203 to 137 computations (32.5% saved)

simplify168.0ms (3.9%)

Memory

13.6MiB live, 296.3MiB allocated; 35ms collecting garbage

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (pow.f64 x #s(literal 3 binary64)) y)
cost-diff	0	(.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) y) (neg.f64 y))
cost-diff	0	#s(approx (* (- 1 (pow (* y x) 2)) x) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) y) (neg.f64 y)))
cost-diff	0	(/.f64 #s(approx (* (- 1 (pow (* y x) 2)) x) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) y) (neg.f64 y))) (fma.f64 y x #s(literal 1 binary64)))
cost-diff	0	(-.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 y x) x) y))
cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 y x) x) y)) (fma.f64 y x #s(literal 1 binary64)))
cost-diff	0	(.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y x) x) y)) (fma.f64 y x #s(literal 1 binary64))))
cost-diff	2	(.f64 (.f64 (*.f64 y x) x) y)
cost-diff	0	(-.f64 #s(literal 1 binary64) (.f64 (.f64 y x) (*.f64 y x)))
cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 y x) (*.f64 y x))) (fma.f64 y x #s(literal 1 binary64)))
cost-diff	0	(.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 y x) (.f64 y x))) (fma.f64 y x #s(literal 1 binary64))))
cost-diff	2	(.f64 (.f64 y x) (*.f64 y x))
cost-diff	0	(neg.f64 x)
cost-diff	0	(*.f64 (neg.f64 x) x)
cost-diff	0	(fma.f64 (*.f64 (neg.f64 x) x) y x)
cost-diff	0	(neg.f64 x)
cost-diff	0	(*.f64 y (neg.f64 x))
cost-diff	0	(fma.f64 (*.f64 y (neg.f64 x)) x x)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	214
0	54	198
1	114	198
2	255	198
3	680	198
4	2536	198
0	8280	198

Stop Event

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

Calls

Call 1

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

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

localize113.0ms (2.7%)

Memory

11.9MiB live, 202.7MiB allocated; 19ms collecting garbage

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	6.249685273967172	(.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) y) (neg.f64 y))
accuracy	6.250185637888336	(*.f64 (pow.f64 x #s(literal 3 binary64)) y)
accuracy	10.797239060426131	(/.f64 #s(approx (* (- 1 (pow (* y x) 2)) x) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) y) (neg.f64 y))) (fma.f64 y x #s(literal 1 binary64)))
accuracy	31.9583757159891	#s(approx (* (- 1 (pow (* y x) 2)) x) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) y) (neg.f64 y)))
accuracy	0.10546875	(.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y x) x) y)) (fma.f64 y x #s(literal 1 binary64))))
accuracy	0.1640625	(.f64 (.f64 y x) x)
accuracy	2.978158547129038	(.f64 (.f64 (*.f64 y x) x) y)
accuracy	15.58108015080994	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 y x) x) y)) (fma.f64 y x #s(literal 1 binary64)))
accuracy	0.0	(*.f64 y x)
accuracy	0.10546875	(.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 y x) (.f64 y x))) (fma.f64 y x #s(literal 1 binary64))))
accuracy	0.27181625976844204	(.f64 (.f64 y x) (*.f64 y x))
accuracy	15.58108015080994	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 y x) (*.f64 y x))) (fma.f64 y x #s(literal 1 binary64)))
accuracy	0.0	(*.f64 (neg.f64 x) x)
accuracy	0.0	(neg.f64 x)
accuracy	6.382907725647084	(fma.f64 (*.f64 (neg.f64 x) x) y x)
accuracy	0.0	(*.f64 y (neg.f64 x))
accuracy	0.0	(neg.f64 x)
accuracy	0.09375	(fma.f64 (*.f64 y (neg.f64 x)) x x)

Samples

61.0ms

256×

valid

Compiler

Compiled 208 to 32 computations (84.6% saved)

Precisions

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

ival-mult: 23.0ms (52.2% of total)

ival-div: 4.0ms (9.1% of total)

ival-pow: 4.0ms (9.1% of total)

ival-add: 3.0ms (6.8% of total)

ival-sub: 3.0ms (6.8% of total)

ival-neg: 2.0ms (4.5% of total)

ival-pow2: 2.0ms (4.5% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series23.0ms (0.5%)

Memory

2.8MiB live, 48.5MiB allocated; 7ms collecting garbage

Counts

19 → 30

Calls

Call 1

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

Outputs
x
(* x (+ 1 (* -1 (* x y))))
(* -1 (* x y))
(* -1 x)
(* -1 (pow x 2))
(* (pow x 2) (pow y 2))
1
(+ 1 (* -1 (* x y)))
(+ 1 (* -1 (* (pow x 2) (pow y 2))))
(* x (+ 1 (* -1 (* (pow x 2) (pow y 2)))))
(* -1 (* (pow x 3) (pow y 2)))
(* (pow x 3) y)
(* x y)
(* (pow x 2) y)
(* -1 (* (pow x 2) y))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* x (+ (* -1 y) (/ 1 x)))
(* -1 (* (pow x 2) (pow y 2)))
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2)))
(* (pow x 3) (+ (* -1 (pow y 2)) (/ 1 (pow x 2))))
(* -1 (* x (- y (/ 1 x))))
(* -1 (* (pow x 3) (- (pow y 2) (/ 1 (pow x 2)))))
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 3) (pow y 2))))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* y (+ (* -1 x) (/ 1 y)))
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2)))
(* (pow y 2) (+ (* -1 (pow x 3)) (/ x (pow y 2))))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* -1 (* y (- x (/ 1 y))))

Calls

6 calls:

Time	Variable		Point	Expression
9.0ms	y	@	0	((+ (* (* y (neg x)) x) x) (* y (neg x)) (neg x) (+ (* (* (neg x) x) y) x) (* (neg x) x) (* (* y x) (* y x)) (* x (/ (- 1 (* (* y x) (* y x))) (+ (* y x) 1))) (/ (- 1 (* (* y x) (* y x))) (+ (* y x) 1)) (- 1 (* (* y x) (* y x))) (* (* (* y x) x) y) (* x (/ (- 1 (* (* (* y x) x) y)) (+ (* y x) 1))) (/ (- 1 (* (* (* y x) x) y)) (+ (* y x) 1)) (- 1 (* (* (* y x) x) y)) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (- 1 (pow (* y x) 2)) x) (* (* (pow x 3) y) (neg y)) (* (pow x 3) y) (* y x) (* (* y x) x))
3.0ms	x	@	-inf	((+ (* (* y (neg x)) x) x) (* y (neg x)) (neg x) (+ (* (* (neg x) x) y) x) (* (neg x) x) (* (* y x) (* y x)) (* x (/ (- 1 (* (* y x) (* y x))) (+ (* y x) 1))) (/ (- 1 (* (* y x) (* y x))) (+ (* y x) 1)) (- 1 (* (* y x) (* y x))) (* (* (* y x) x) y) (* x (/ (- 1 (* (* (* y x) x) y)) (+ (* y x) 1))) (/ (- 1 (* (* (* y x) x) y)) (+ (* y x) 1)) (- 1 (* (* (* y x) x) y)) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (- 1 (pow (* y x) 2)) x) (* (* (pow x 3) y) (neg y)) (* (pow x 3) y) (* y x) (* (* y x) x))
3.0ms	x	@	inf	((+ (* (* y (neg x)) x) x) (* y (neg x)) (neg x) (+ (* (* (neg x) x) y) x) (* (neg x) x) (* (* y x) (* y x)) (* x (/ (- 1 (* (* y x) (* y x))) (+ (* y x) 1))) (/ (- 1 (* (* y x) (* y x))) (+ (* y x) 1)) (- 1 (* (* y x) (* y x))) (* (* (* y x) x) y) (* x (/ (- 1 (* (* (* y x) x) y)) (+ (* y x) 1))) (/ (- 1 (* (* (* y x) x) y)) (+ (* y x) 1)) (- 1 (* (* (* y x) x) y)) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (- 1 (pow (* y x) 2)) x) (* (* (pow x 3) y) (neg y)) (* (pow x 3) y) (* y x) (* (* y x) x))
3.0ms	y	@	-inf	((+ (* (* y (neg x)) x) x) (* y (neg x)) (neg x) (+ (* (* (neg x) x) y) x) (* (neg x) x) (* (* y x) (* y x)) (* x (/ (- 1 (* (* y x) (* y x))) (+ (* y x) 1))) (/ (- 1 (* (* y x) (* y x))) (+ (* y x) 1)) (- 1 (* (* y x) (* y x))) (* (* (* y x) x) y) (* x (/ (- 1 (* (* (* y x) x) y)) (+ (* y x) 1))) (/ (- 1 (* (* (* y x) x) y)) (+ (* y x) 1)) (- 1 (* (* (* y x) x) y)) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (- 1 (pow (* y x) 2)) x) (* (* (pow x 3) y) (neg y)) (* (pow x 3) y) (* y x) (* (* y x) x))
2.0ms	y	@	inf	((+ (* (* y (neg x)) x) x) (* y (neg x)) (neg x) (+ (* (* (neg x) x) y) x) (* (neg x) x) (* (* y x) (* y x)) (* x (/ (- 1 (* (* y x) (* y x))) (+ (* y x) 1))) (/ (- 1 (* (* y x) (* y x))) (+ (* y x) 1)) (- 1 (* (* y x) (* y x))) (* (* (* y x) x) y) (* x (/ (- 1 (* (* (* y x) x) y)) (+ (* y x) 1))) (/ (- 1 (* (* (* y x) x) y)) (+ (* y x) 1)) (- 1 (* (* (* y x) x) y)) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (- 1 (pow (* y x) 2)) x) (* (* (pow x 3) y) (neg y)) (* (pow x 3) y) (* y x) (* (* y x) x))

simplify408.0ms (9.6%)

Memory

2.8MiB live, 516.1MiB allocated; 117ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	63	214
1	196	186
2	555	186
3	2386	186
0	9209	186

Stop Event

1×	iter limit
1×	node limit

Counts

30 → 29

Calls

Call 1

Inputs
x
(* x (+ 1 (* -1 (* x y))))
(* -1 (* x y))
(* -1 x)
(* -1 (pow x 2))
(* (pow x 2) (pow y 2))
1
(+ 1 (* -1 (* x y)))
(+ 1 (* -1 (* (pow x 2) (pow y 2))))
(* x (+ 1 (* -1 (* (pow x 2) (pow y 2)))))
(* -1 (* (pow x 3) (pow y 2)))
(* (pow x 3) y)
(* x y)
(* (pow x 2) y)
(* -1 (* (pow x 2) y))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* x (+ (* -1 y) (/ 1 x)))
(* -1 (* (pow x 2) (pow y 2)))
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2)))
(* (pow x 3) (+ (* -1 (pow y 2)) (/ 1 (pow x 2))))
(* -1 (* x (- y (/ 1 x))))
(* -1 (* (pow x 3) (- (pow y 2) (/ 1 (pow x 2)))))
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 3) (pow y 2))))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* y (+ (* -1 x) (/ 1 y)))
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2)))
(* (pow y 2) (+ (* -1 (pow x 3)) (/ x (pow y 2))))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* -1 (* y (- x (/ 1 y))))

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

rewrite70.0ms (1.6%)

Memory

-6.4MiB live, 84.3MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	178
0	54	162
1	195	134
0	981	134

Stop Event

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

Counts

19 → 292

Calls

Call 1

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

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

eval21.0ms (0.5%)

Memory: 32.1MiB live, 32.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 4 082 to 813 computations (80.1% saved)

prune9.0ms (0.2%)

Memory

13.0MiB live, 13.0MiB allocated; 0ms collecting garbage

Pruning

10 alts after pruning (3 fresh and 7 done)

	Pruned	Kept	Total
New	213	2	215
Fresh	0	1	1
Picked	0	5	5
Done	0	2	2
Total	213	10	223

Accuracy

100.0%

Counts

223 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	90.0%	(fma.f64 (*.f64 (neg.f64 x) x) y x)
✓	99.9%	(fma.f64 (*.f64 y (neg.f64 x)) x x)
▶	60.4%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 4 binary64))) x) (.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 y x #s(literal 1 binary64))))
✓	23.8%	(/.f64 #s(approx (* (- 1 (pow (* y x) 2)) x) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) y) (neg.f64 y))) (fma.f64 y x #s(literal 1 binary64)))
▶	43.4%	(.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (pow.f64 (.f64 x y) #s(literal 1/2 binary64)) (pow.f64 (.f64 x y) #s(literal 1/2 binary64))) (.f64 y x))) (fma.f64 y x #s(literal 1 binary64))))
✓	84.0%	(.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y x) x) y)) (fma.f64 y x #s(literal 1 binary64))))
✓	84.0%	(.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 y x) (.f64 y x))) (fma.f64 y x #s(literal 1 binary64))))
✓	50.0%	(.f64 x #s(approx (- 1 ( x y)) (*.f64 (neg.f64 x) y)))
✓	51.1%	(.f64 x #s(approx (- 1 ( x y)) #s(literal 1 binary64)))
▶	45.1%	#s(approx (+ (* (* y (neg x)) x) x) (.f64 (.f64 (neg.f64 x) x) y))

Compiler

Compiled 151 to 100 computations (33.8% saved)

simplify148.0ms (3.5%)

Memory

-5.1MiB live, 132.9MiB allocated; 22ms collecting garbage

Localize:

Found 12 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 (*.f64 y x) #s(literal 4 binary64))
cost-diff	0	(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 4 binary64)))
cost-diff	0	(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 4 binary64))) x)
cost-diff	0	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 4 binary64))) x) (.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 y x #s(literal 1 binary64))))
cost-diff	0	(.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (pow.f64 (.f64 x y) #s(literal 1/2 binary64)) (pow.f64 (.f64 x y) #s(literal 1/2 binary64))) (.f64 y x))) (fma.f64 y x #s(literal 1 binary64))))
cost-diff	1	(pow.f64 (*.f64 x y) #s(literal 1/2 binary64))
cost-diff	2	(.f64 (.f64 (pow.f64 (.f64 x y) #s(literal 1/2 binary64)) (pow.f64 (.f64 x y) #s(literal 1/2 binary64))) (*.f64 y x))
cost-diff	6	(.f64 (pow.f64 (.f64 x y) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x y) #s(literal 1/2 binary64)))
cost-diff	0	(neg.f64 x)
cost-diff	0	(*.f64 (neg.f64 x) x)
cost-diff	0	(.f64 (.f64 (neg.f64 x) x) y)
cost-diff	0	#s(approx (+ (* (* y (neg x)) x) x) (.f64 (.f64 (neg.f64 x) x) y))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	216
0	49	187
1	108	166
2	316	166
3	1477	166
4	6735	166
0	8022	166

Stop Event

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

Calls

Call 1

Inputs
#s(approx (+ (* (* y (neg x)) x) x) (.f64 (.f64 (neg.f64 x) x) y))
(.f64 (.f64 (neg.f64 x) x) y)
(*.f64 (neg.f64 x) x)
(neg.f64 x)
x
y
(.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (pow.f64 (.f64 x y) #s(literal 1/2 binary64)) (pow.f64 (.f64 x y) #s(literal 1/2 binary64))) (.f64 y x))) (fma.f64 y x #s(literal 1 binary64))))
x
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (pow.f64 (.f64 x y) #s(literal 1/2 binary64)) (pow.f64 (.f64 x y) #s(literal 1/2 binary64))) (*.f64 y x))) (fma.f64 y x #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (.f64 (.f64 (pow.f64 (.f64 x y) #s(literal 1/2 binary64)) (pow.f64 (.f64 x y) #s(literal 1/2 binary64))) (*.f64 y x)))
#s(literal 1 binary64)
(.f64 (.f64 (pow.f64 (.f64 x y) #s(literal 1/2 binary64)) (pow.f64 (.f64 x y) #s(literal 1/2 binary64))) (*.f64 y x))
(.f64 (pow.f64 (.f64 x y) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x y) #s(literal 1/2 binary64)))
(pow.f64 (*.f64 x y) #s(literal 1/2 binary64))
(*.f64 x y)
y
#s(literal 1/2 binary64)
(*.f64 y x)
(fma.f64 y x #s(literal 1 binary64))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 4 binary64))) x) (.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 y x #s(literal 1 binary64))))
(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 4 binary64))) x)
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 4 binary64)))
#s(literal 1 binary64)
(pow.f64 (*.f64 y x) #s(literal 4 binary64))
(*.f64 y x)
y
x
#s(literal 4 binary64)
(.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 y x #s(literal 1 binary64)))
(+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 y x) #s(literal 2 binary64))
#s(literal 2 binary64)
(fma.f64 y x #s(literal 1 binary64))

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

localize212.0ms (5%)

Memory

-36.9MiB live, 222.3MiB allocated; 35ms collecting garbage

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0.1171875	(pow.f64 (*.f64 y x) #s(literal 2 binary64))
accuracy	0.1205063476844202	(pow.f64 (*.f64 y x) #s(literal 4 binary64))
accuracy	0.7181148667029372	(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 4 binary64))) x)
accuracy	11.04238782442499	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 4 binary64))) x) (.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 y x #s(literal 1 binary64))))
accuracy	0.1171875	(.f64 (.f64 (pow.f64 (.f64 x y) #s(literal 1/2 binary64)) (pow.f64 (.f64 x y) #s(literal 1/2 binary64))) (*.f64 y x))
accuracy	0.17253876953688402	(.f64 (pow.f64 (.f64 x y) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x y) #s(literal 1/2 binary64)))
accuracy	7.332167257294974	(pow.f64 (*.f64 x y) #s(literal 1/2 binary64))
accuracy	8.740545284208117	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (pow.f64 (.f64 x y) #s(literal 1/2 binary64)) (pow.f64 (.f64 x y) #s(literal 1/2 binary64))) (*.f64 y x))) (fma.f64 y x #s(literal 1 binary64)))
accuracy	0.0	(*.f64 (neg.f64 x) x)
accuracy	0.0	(neg.f64 x)
accuracy	4.574737426176538	(.f64 (.f64 (neg.f64 x) x) y)
accuracy	15.939261752270008	#s(approx (+ (* (* y (neg x)) x) x) (.f64 (.f64 (neg.f64 x) x) y))

Samples

99.0ms	124×	0	valid
49.0ms	132×	0	invalid

Compiler

Compiled 217 to 30 computations (86.2% saved)

Precisions

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

ival-sqrt: 45.0ms (37.4% of total)

ival-mult: 26.0ms (21.6% of total)

ival-sub: 22.0ms (18.3% of total)

ival-add: 6.0ms (5% of total)

ival-pow2: 6.0ms (5% of total)

ival-pow: 6.0ms (5% of total)

ival-div: 5.0ms (4.2% of total)

ival-neg: 2.0ms (1.7% of total)

exact: 1.0ms (0.8% of total)

adjust: 0.0ms (0% of total)

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

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

series70.0ms (1.6%)

Memory

2.9MiB live, 55.9MiB allocated; 12ms collecting garbage

Counts

14 → 49

Calls

Call 1

Inputs
#s(approx (+ (* (* y (neg x)) x) x) (.f64 (.f64 (neg.f64 x) x) y))
(.f64 (.f64 (neg.f64 x) x) y)
(*.f64 (neg.f64 x) x)
(neg.f64 x)
(.f64 (pow.f64 (.f64 x y) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x y) #s(literal 1/2 binary64)))
(.f64 (.f64 (pow.f64 (.f64 x y) #s(literal 1/2 binary64)) (pow.f64 (.f64 x y) #s(literal 1/2 binary64))) (*.f64 y x))
(pow.f64 (*.f64 x y) #s(literal 1/2 binary64))
(.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (pow.f64 (.f64 x y) #s(literal 1/2 binary64)) (pow.f64 (.f64 x y) #s(literal 1/2 binary64))) (.f64 y x))) (fma.f64 y x #s(literal 1 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 4 binary64))) x) (.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 y x #s(literal 1 binary64))))
(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 4 binary64))) x)
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 4 binary64)))
(pow.f64 (*.f64 y x) #s(literal 4 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (pow.f64 (.f64 x y) #s(literal 1/2 binary64)) (pow.f64 (.f64 x y) #s(literal 1/2 binary64))) (*.f64 y x))) (fma.f64 y x #s(literal 1 binary64)))
(pow.f64 (*.f64 y x) #s(literal 2 binary64))

Outputs
x
(* x (+ 1 (* -1 (* x y))))
(* -1 (* (pow x 2) y))
(* -1 (pow x 2))
(* -1 x)
(* x y)
(* (pow x 2) (pow y 2))
(sqrt (* x y))
(* x (+ 1 (* x (- (* -1 (* x (+ (* -1 (pow y 2)) (pow y 2)))) y))))
(* x (+ 1 (* x (- (* x (- (* -1 (* x (+ (* -1 (* y (+ (* -1 (pow y 2)) (pow y 2)))) (+ (* -1 (pow y 3)) (pow y 3))))) (+ (* -1 (pow y 2)) (pow y 2)))) y))))
(* x (+ 1 (* -1 (* (pow x 4) (pow y 4)))))
1
(+ 1 (* -1 (* (pow x 4) (pow y 4))))
(* (pow x 4) (pow y 4))
(+ 1 (* -1 (* x y)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* -1 (* (pow x 5) (pow y 4)))
(* (pow x 5) (+ (* -1 (pow y 4)) (/ 1 (pow x 4))))
(* -1 (* (pow x 4) (pow y 4)))
(* (pow x 4) (- (/ 1 (pow x 4)) (pow y 4)))
(* -1 (* x y))
(* x (+ (* -1 y) (/ 1 x)))
(* -1 (* x (* y (pow (sqrt -1) 2))))
(* -1 (* (pow x 2) (* (pow y 2) (pow (sqrt -1) 2))))
(* -1 (* (sqrt (* x y)) (pow (sqrt -1) 2)))
(* (pow x 2) (* y (pow (sqrt -1) 2)))
(* (pow x 2) (+ (* -1 (/ (pow (sqrt -1) 2) x)) (* y (pow (sqrt -1) 2))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (+ (/ 1 y) (/ (pow (sqrt -1) 2) y)) x)) (pow (sqrt -1) 2)) x)) (* y (pow (sqrt -1) 2))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (/ 1 (pow y 2)) (/ (pow (sqrt -1) 2) (pow y 2))) x)) (+ (/ 1 y) (/ (pow (sqrt -1) 2) y))) x)) (pow (sqrt -1) 2)) x)) (* y (pow (sqrt -1) 2))))
(* -1 (* (pow x 5) (- (pow y 4) (/ 1 (pow x 4)))))
(* x (* y (pow (sqrt -1) 2)))
(* -1 (* x (+ (* -1 (* y (pow (sqrt -1) 2))) (/ (pow (sqrt -1) 2) x))))
(* -1 (* x (+ (* -1 (* y (pow (sqrt -1) 2))) (* -1 (/ (- (+ (/ 1 (* x y)) (/ (pow (sqrt -1) 2) (* x y))) (pow (sqrt -1) 2)) x)))))
(* -1 (* x (+ (* -1 (* y (pow (sqrt -1) 2))) (* -1 (/ (- (* -1 (/ (- (+ (/ 1 (* x (pow y 2))) (/ (pow (sqrt -1) 2) (* x (pow y 2)))) (+ (/ 1 y) (/ (pow (sqrt -1) 2) y))) x)) (pow (sqrt -1) 2)) x)))))
(+ x (* -1 (* (pow x 2) y)))
(+ x (* y (- (* -1 (* y (+ (* -1 (pow x 3)) (pow x 3)))) (pow x 2))))
(+ x (* y (- (* y (- (* -1 (* y (+ (* -1 (* x (+ (* -1 (pow x 3)) (pow x 3)))) (+ (* -1 (pow x 4)) (pow x 4))))) (+ (* -1 (pow x 3)) (pow x 3)))) (pow x 2))))
(+ x (* -1 (* (pow x 5) (pow y 4))))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* (pow y 4) (+ (* -1 (pow x 5)) (/ x (pow y 4))))
(* (pow y 4) (- (/ 1 (pow y 4)) (pow x 4)))
(* y (+ (* -1 x) (/ 1 y)))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* -1 (* y (+ (* -1 (* (pow x 2) (pow (sqrt -1) 2))) (/ (* x (pow (sqrt -1) 2)) y))))
(* -1 (* y (+ (* -1 (* (pow x 2) (pow (sqrt -1) 2))) (* -1 (/ (- (+ (/ 1 y) (/ (pow (sqrt -1) 2) y)) (* x (pow (sqrt -1) 2))) y)))))
(* -1 (* y (+ (* -1 (* (pow x 2) (pow (sqrt -1) 2))) (* -1 (/ (- (* -1 (/ (- (+ (/ 1 (* x y)) (/ (pow (sqrt -1) 2) (* x y))) (+ 1 (pow (sqrt -1) 2))) y)) (* x (pow (sqrt -1) 2))) y)))))
(* -1 (* y (+ (* -1 (* x (pow (sqrt -1) 2))) (/ (pow (sqrt -1) 2) y))))
(* -1 (* y (+ (* -1 (* x (pow (sqrt -1) 2))) (* -1 (/ (- (+ (/ 1 (* x y)) (/ (pow (sqrt -1) 2) (* x y))) (pow (sqrt -1) 2)) y)))))
(* -1 (* y (+ (* -1 (* x (pow (sqrt -1) 2))) (* -1 (/ (- (* -1 (/ (- (+ (/ 1 (* (pow x 2) y)) (/ (pow (sqrt -1) 2) (* (pow x 2) y))) (+ (/ 1 x) (/ (pow (sqrt -1) 2) x))) y)) (pow (sqrt -1) 2)) y)))))

Calls

6 calls:

Time	Variable		Point	Expression
48.0ms	x	@	-inf	((+ (* (* y (neg x)) x) x) (* (* (neg x) x) y) (* (neg x) x) (neg x) (* (pow (* x y) 1/2) (pow (* x y) 1/2)) (* (* (pow (* x y) 1/2) (pow (* x y) 1/2)) (* y x)) (pow (* x y) 1/2) (* x (/ (- 1 (* (* (pow (* x y) 1/2) (pow (* x y) 1/2)) (* y x))) (+ (* y x) 1))) (/ (* (- 1 (pow (* y x) 4)) x) (* (+ (pow (* y x) 2) 1) (+ (* y x) 1))) (* (- 1 (pow (* y x) 4)) x) (- 1 (pow (* y x) 4)) (pow (* y x) 4) (/ (- 1 (* (* (pow (* x y) 1/2) (pow (* x y) 1/2)) (* y x))) (+ (* y x) 1)) (pow (* y x) 2))
6.0ms	x	@	0	((+ (* (* y (neg x)) x) x) (* (* (neg x) x) y) (* (neg x) x) (neg x) (* (pow (* x y) 1/2) (pow (* x y) 1/2)) (* (* (pow (* x y) 1/2) (pow (* x y) 1/2)) (* y x)) (pow (* x y) 1/2) (* x (/ (- 1 (* (* (pow (* x y) 1/2) (pow (* x y) 1/2)) (* y x))) (+ (* y x) 1))) (/ (* (- 1 (pow (* y x) 4)) x) (* (+ (pow (* y x) 2) 1) (+ (* y x) 1))) (* (- 1 (pow (* y x) 4)) x) (- 1 (pow (* y x) 4)) (pow (* y x) 4) (/ (- 1 (* (* (pow (* x y) 1/2) (pow (* x y) 1/2)) (* y x))) (+ (* y x) 1)) (pow (* y x) 2))
5.0ms	y	@	-inf	((+ (* (* y (neg x)) x) x) (* (* (neg x) x) y) (* (neg x) x) (neg x) (* (pow (* x y) 1/2) (pow (* x y) 1/2)) (* (* (pow (* x y) 1/2) (pow (* x y) 1/2)) (* y x)) (pow (* x y) 1/2) (* x (/ (- 1 (* (* (pow (* x y) 1/2) (pow (* x y) 1/2)) (* y x))) (+ (* y x) 1))) (/ (* (- 1 (pow (* y x) 4)) x) (* (+ (pow (* y x) 2) 1) (+ (* y x) 1))) (* (- 1 (pow (* y x) 4)) x) (- 1 (pow (* y x) 4)) (pow (* y x) 4) (/ (- 1 (* (* (pow (* x y) 1/2) (pow (* x y) 1/2)) (* y x))) (+ (* y x) 1)) (pow (* y x) 2))
4.0ms	x	@	inf	((+ (* (* y (neg x)) x) x) (* (* (neg x) x) y) (* (neg x) x) (neg x) (* (pow (* x y) 1/2) (pow (* x y) 1/2)) (* (* (pow (* x y) 1/2) (pow (* x y) 1/2)) (* y x)) (pow (* x y) 1/2) (* x (/ (- 1 (* (* (pow (* x y) 1/2) (pow (* x y) 1/2)) (* y x))) (+ (* y x) 1))) (/ (* (- 1 (pow (* y x) 4)) x) (* (+ (pow (* y x) 2) 1) (+ (* y x) 1))) (* (- 1 (pow (* y x) 4)) x) (- 1 (pow (* y x) 4)) (pow (* y x) 4) (/ (- 1 (* (* (pow (* x y) 1/2) (pow (* x y) 1/2)) (* y x))) (+ (* y x) 1)) (pow (* y x) 2))
3.0ms	y	@	inf	((+ (* (* y (neg x)) x) x) (* (* (neg x) x) y) (* (neg x) x) (neg x) (* (pow (* x y) 1/2) (pow (* x y) 1/2)) (* (* (pow (* x y) 1/2) (pow (* x y) 1/2)) (* y x)) (pow (* x y) 1/2) (* x (/ (- 1 (* (* (pow (* x y) 1/2) (pow (* x y) 1/2)) (* y x))) (+ (* y x) 1))) (/ (* (- 1 (pow (* y x) 4)) x) (* (+ (pow (* y x) 2) 1) (+ (* y x) 1))) (* (- 1 (pow (* y x) 4)) x) (- 1 (pow (* y x) 4)) (pow (* y x) 4) (/ (- 1 (* (* (pow (* x y) 1/2) (pow (* x y) 1/2)) (* y x))) (+ (* y x) 1)) (pow (* y x) 2))

simplify154.0ms (3.6%)

Memory

-2.8MiB live, 182.7MiB allocated; 35ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	212	627
1	763	437
2	3292	428
0	8414	422

Stop Event

1×	iter limit
1×	node limit

Counts

49 → 48

Calls

Call 1

Inputs
x
(* x (+ 1 (* -1 (* x y))))
(* -1 (* (pow x 2) y))
(* -1 (pow x 2))
(* -1 x)
(* x y)
(* (pow x 2) (pow y 2))
(sqrt (* x y))
(* x (+ 1 (* x (- (* -1 (* x (+ (* -1 (pow y 2)) (pow y 2)))) y))))
(* x (+ 1 (* x (- (* x (- (* -1 (* x (+ (* -1 (* y (+ (* -1 (pow y 2)) (pow y 2)))) (+ (* -1 (pow y 3)) (pow y 3))))) (+ (* -1 (pow y 2)) (pow y 2)))) y))))
(* x (+ 1 (* -1 (* (pow x 4) (pow y 4)))))
1
(+ 1 (* -1 (* (pow x 4) (pow y 4))))
(* (pow x 4) (pow y 4))
(+ 1 (* -1 (* x y)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* -1 (* (pow x 5) (pow y 4)))
(* (pow x 5) (+ (* -1 (pow y 4)) (/ 1 (pow x 4))))
(* -1 (* (pow x 4) (pow y 4)))
(* (pow x 4) (- (/ 1 (pow x 4)) (pow y 4)))
(* -1 (* x y))
(* x (+ (* -1 y) (/ 1 x)))
(* -1 (* x (* y (pow (sqrt -1) 2))))
(* -1 (* (pow x 2) (* (pow y 2) (pow (sqrt -1) 2))))
(* -1 (* (sqrt (* x y)) (pow (sqrt -1) 2)))
(* (pow x 2) (* y (pow (sqrt -1) 2)))
(* (pow x 2) (+ (* -1 (/ (pow (sqrt -1) 2) x)) (* y (pow (sqrt -1) 2))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (+ (/ 1 y) (/ (pow (sqrt -1) 2) y)) x)) (pow (sqrt -1) 2)) x)) (* y (pow (sqrt -1) 2))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (/ 1 (pow y 2)) (/ (pow (sqrt -1) 2) (pow y 2))) x)) (+ (/ 1 y) (/ (pow (sqrt -1) 2) y))) x)) (pow (sqrt -1) 2)) x)) (* y (pow (sqrt -1) 2))))
(* -1 (* (pow x 5) (- (pow y 4) (/ 1 (pow x 4)))))
(* x (* y (pow (sqrt -1) 2)))
(* -1 (* x (+ (* -1 (* y (pow (sqrt -1) 2))) (/ (pow (sqrt -1) 2) x))))
(* -1 (* x (+ (* -1 (* y (pow (sqrt -1) 2))) (* -1 (/ (- (+ (/ 1 (* x y)) (/ (pow (sqrt -1) 2) (* x y))) (pow (sqrt -1) 2)) x)))))
(* -1 (* x (+ (* -1 (* y (pow (sqrt -1) 2))) (* -1 (/ (- (* -1 (/ (- (+ (/ 1 (* x (pow y 2))) (/ (pow (sqrt -1) 2) (* x (pow y 2)))) (+ (/ 1 y) (/ (pow (sqrt -1) 2) y))) x)) (pow (sqrt -1) 2)) x)))))
(+ x (* -1 (* (pow x 2) y)))
(+ x (* y (- (* -1 (* y (+ (* -1 (pow x 3)) (pow x 3)))) (pow x 2))))
(+ x (* y (- (* y (- (* -1 (* y (+ (* -1 (* x (+ (* -1 (pow x 3)) (pow x 3)))) (+ (* -1 (pow x 4)) (pow x 4))))) (+ (* -1 (pow x 3)) (pow x 3)))) (pow x 2))))
(+ x (* -1 (* (pow x 5) (pow y 4))))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* (pow y 4) (+ (* -1 (pow x 5)) (/ x (pow y 4))))
(* (pow y 4) (- (/ 1 (pow y 4)) (pow x 4)))
(* y (+ (* -1 x) (/ 1 y)))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* -1 (* y (+ (* -1 (* (pow x 2) (pow (sqrt -1) 2))) (/ (* x (pow (sqrt -1) 2)) y))))
(* -1 (* y (+ (* -1 (* (pow x 2) (pow (sqrt -1) 2))) (* -1 (/ (- (+ (/ 1 y) (/ (pow (sqrt -1) 2) y)) (* x (pow (sqrt -1) 2))) y)))))
(* -1 (* y (+ (* -1 (* (pow x 2) (pow (sqrt -1) 2))) (* -1 (/ (- (* -1 (/ (- (+ (/ 1 (* x y)) (/ (pow (sqrt -1) 2) (* x y))) (+ 1 (pow (sqrt -1) 2))) y)) (* x (pow (sqrt -1) 2))) y)))))
(* -1 (* y (+ (* -1 (* x (pow (sqrt -1) 2))) (/ (pow (sqrt -1) 2) y))))
(* -1 (* y (+ (* -1 (* x (pow (sqrt -1) 2))) (* -1 (/ (- (+ (/ 1 (* x y)) (/ (pow (sqrt -1) 2) (* x y))) (pow (sqrt -1) 2)) y)))))
(* -1 (* y (+ (* -1 (* x (pow (sqrt -1) 2))) (* -1 (/ (- (* -1 (/ (- (+ (/ 1 (* (pow x 2) y)) (/ (pow (sqrt -1) 2) (* (pow x 2) y))) (+ (/ 1 x) (/ (pow (sqrt -1) 2) x))) y)) (pow (sqrt -1) 2)) y)))))

Outputs
x
(* x (+ 1 (* -1 (* x y))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x y)) x)
(* -1 (* (pow x 2) y))
(.f64 (neg.f64 y) (.f64 x x))
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* -1 x)
(neg.f64 x)
(* x y)
(*.f64 x y)
(* (pow x 2) (pow y 2))
(.f64 (.f64 (*.f64 x x) y) y)
(sqrt (* x y))
(sqrt.f64 (*.f64 x y))
(* x (+ 1 (* x (- (* -1 (* x (+ (* -1 (pow y 2)) (pow y 2)))) y))))
(*.f64 (fma.f64 (-.f64 #s(literal 0 binary64) y) x #s(literal 1 binary64)) x)
(* x (+ 1 (* x (- (* x (- (* -1 (* x (+ (* -1 (* y (+ (* -1 (pow y 2)) (pow y 2)))) (+ (* -1 (pow y 3)) (pow y 3))))) (+ (* -1 (pow y 2)) (pow y 2)))) y))))
(*.f64 (fma.f64 (-.f64 #s(literal 0 binary64) y) x #s(literal 1 binary64)) x)
(* x (+ 1 (* -1 (* (pow x 4) (pow y 4)))))
(*.f64 (neg.f64 x) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (* (pow x 4) (pow y 4))))
(neg.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)))
(* (pow x 4) (pow y 4))
(*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))
(+ 1 (* -1 (* x y)))
(-.f64 #s(literal 1 binary64) (*.f64 x y))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x y)) x)
(* -1 (* (pow x 5) (pow y 4)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (pow.f64 y #s(literal 4 binary64)))
(* (pow x 5) (+ (* -1 (pow y 4)) (/ 1 (pow x 4))))
(*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 4) (pow y 4)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)))
(* (pow x 4) (- (/ 1 (pow x 4)) (pow y 4)))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* x (+ (* -1 y) (/ 1 x)))
(-.f64 #s(literal 1 binary64) (*.f64 x y))
(* -1 (* x (* y (pow (sqrt -1) 2))))
(*.f64 x y)
(* -1 (* (pow x 2) (* (pow y 2) (pow (sqrt -1) 2))))
(.f64 (.f64 (*.f64 x x) y) y)
(* -1 (* (sqrt (* x y)) (pow (sqrt -1) 2)))
(.f64 (sqrt.f64 (.f64 x y)) #s(literal 1 binary64))
(* (pow x 2) (* y (pow (sqrt -1) 2)))
(.f64 (neg.f64 y) (.f64 x x))
(* (pow x 2) (+ (* -1 (/ (pow (sqrt -1) 2) x)) (* y (pow (sqrt -1) 2))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x y)) x)
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (+ (/ 1 y) (/ (pow (sqrt -1) 2) y)) x)) (pow (sqrt -1) 2)) x)) (* y (pow (sqrt -1) 2))))
(.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 0 binary64) (.f64 x y)) #s(literal -1 binary64)) x) (neg.f64 y)) (*.f64 x x))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (/ 1 (pow y 2)) (/ (pow (sqrt -1) 2) (pow y 2))) x)) (+ (/ 1 y) (/ (pow (sqrt -1) 2) y))) x)) (pow (sqrt -1) 2)) x)) (* y (pow (sqrt -1) 2))))
(.f64 (fma.f64 #s(literal -1 binary64) y (/.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 0 binary64) (.f64 x y)) #s(literal 0 binary64)) y) x) x) x)) (*.f64 x x))
(* -1 (* (pow x 5) (- (pow y 4) (/ 1 (pow x 4)))))
(*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))
(* x (* y (pow (sqrt -1) 2)))
(*.f64 (neg.f64 y) x)
(* -1 (* x (+ (* -1 (* y (pow (sqrt -1) 2))) (/ (pow (sqrt -1) 2) x))))
(-.f64 #s(literal 1 binary64) (*.f64 x y))
(* -1 (* x (+ (* -1 (* y (pow (sqrt -1) 2))) (* -1 (/ (- (+ (/ 1 (* x y)) (/ (pow (sqrt -1) 2) (* x y))) (pow (sqrt -1) 2)) x)))))
(.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 0 binary64) (.f64 x y)) #s(literal -1 binary64)) x) (neg.f64 y)) x)
(* -1 (* x (+ (* -1 (* y (pow (sqrt -1) 2))) (* -1 (/ (- (* -1 (/ (- (+ (/ 1 (* x (pow y 2))) (/ (pow (sqrt -1) 2) (* x (pow y 2)))) (+ (/ 1 y) (/ (pow (sqrt -1) 2) y))) x)) (pow (sqrt -1) 2)) x)))))
(.f64 (fma.f64 #s(literal -1 binary64) y (/.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 0 binary64) (.f64 x y)) #s(literal 0 binary64)) y) x) x) x)) x)
(+ x (* -1 (* (pow x 2) y)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x y)) x)
(+ x (* y (- (* -1 (* y (+ (* -1 (pow x 3)) (pow x 3)))) (pow x 2))))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) y x)
(+ x (* y (- (* y (- (* -1 (* y (+ (* -1 (* x (+ (* -1 (pow x 3)) (pow x 3)))) (+ (* -1 (pow x 4)) (pow x 4))))) (+ (* -1 (pow x 3)) (pow x 3)))) (pow x 2))))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) y x)
(+ x (* -1 (* (pow x 5) (pow y 4))))
(fma.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 5 binary64)) x)
(* y (+ (* -1 (pow x 2)) (/ x y)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x y)) x)
(* (pow y 4) (+ (* -1 (pow x 5)) (/ x (pow y 4))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 4 binary64)))
(* (pow y 4) (- (/ 1 (pow y 4)) (pow x 4)))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)))
(* y (+ (* -1 x) (/ 1 y)))
(-.f64 #s(literal 1 binary64) (*.f64 x y))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x y)) x)
(* -1 (* y (+ (* -1 (* (pow x 2) (pow (sqrt -1) 2))) (/ (* x (pow (sqrt -1) 2)) y))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x y)) x)
(* -1 (* y (+ (* -1 (* (pow x 2) (pow (sqrt -1) 2))) (* -1 (/ (- (+ (/ 1 y) (/ (pow (sqrt -1) 2) y)) (* x (pow (sqrt -1) 2))) y)))))
(*.f64 (fma.f64 (neg.f64 x) x (/.f64 (+.f64 (/.f64 #s(literal 0 binary64) y) x) y)) y)
(* -1 (* y (+ (* -1 (* (pow x 2) (pow (sqrt -1) 2))) (* -1 (/ (- (* -1 (/ (- (+ (/ 1 (* x y)) (/ (pow (sqrt -1) 2) (* x y))) (+ 1 (pow (sqrt -1) 2))) y)) (* x (pow (sqrt -1) 2))) y)))))
(.f64 (fma.f64 (neg.f64 x) x (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 0 binary64) (.f64 x y)) #s(literal 0 binary64)) y) x) y)) y)
(* -1 (* y (+ (* -1 (* x (pow (sqrt -1) 2))) (/ (pow (sqrt -1) 2) y))))
(-.f64 #s(literal 1 binary64) (*.f64 x y))
(* -1 (* y (+ (* -1 (* x (pow (sqrt -1) 2))) (* -1 (/ (- (+ (/ 1 (* x y)) (/ (pow (sqrt -1) 2) (* x y))) (pow (sqrt -1) 2)) y)))))
(.f64 (fma.f64 #s(literal -1 binary64) x (/.f64 (-.f64 (/.f64 #s(literal 0 binary64) (.f64 x y)) #s(literal -1 binary64)) y)) y)
(* -1 (* y (+ (* -1 (* x (pow (sqrt -1) 2))) (* -1 (/ (- (* -1 (/ (- (+ (/ 1 (* (pow x 2) y)) (/ (pow (sqrt -1) 2) (* (pow x 2) y))) (+ (/ 1 x) (/ (pow (sqrt -1) 2) x))) y)) (pow (sqrt -1) 2)) y)))))
(.f64 (neg.f64 (-.f64 x (/.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 0 binary64) (.f64 x y)) #s(literal 0 binary64)) y) x) x) y))) y)

rewrite30.0ms (0.7%)

Memory

20.2MiB live, 65.5MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	152
0	49	127
0	201	126

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

14 → 50

Calls

Call 1

Inputs
#s(approx (+ (* (* y (neg x)) x) x) (.f64 (.f64 (neg.f64 x) x) y))
(.f64 (.f64 (neg.f64 x) x) y)
(*.f64 (neg.f64 x) x)
(neg.f64 x)
(.f64 (pow.f64 (.f64 x y) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x y) #s(literal 1/2 binary64)))
(.f64 (.f64 (pow.f64 (.f64 x y) #s(literal 1/2 binary64)) (pow.f64 (.f64 x y) #s(literal 1/2 binary64))) (*.f64 y x))
(pow.f64 (*.f64 x y) #s(literal 1/2 binary64))
(.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (pow.f64 (.f64 x y) #s(literal 1/2 binary64)) (pow.f64 (.f64 x y) #s(literal 1/2 binary64))) (.f64 y x))) (fma.f64 y x #s(literal 1 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 4 binary64))) x) (.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 y x #s(literal 1 binary64))))
(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 4 binary64))) x)
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 4 binary64)))
(pow.f64 (*.f64 y x) #s(literal 4 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (pow.f64 (.f64 x y) #s(literal 1/2 binary64)) (pow.f64 (.f64 x y) #s(literal 1/2 binary64))) (*.f64 y x))) (fma.f64 y x #s(literal 1 binary64)))
(pow.f64 (*.f64 y x) #s(literal 2 binary64))

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

eval35.0ms (0.8%)

Memory: -23.6MiB live, 20.9MiB allocated; 6ms collecting garbage
Compiler: Compiled 2 394 to 412 computations (82.8% saved)

prune8.0ms (0.2%)

Memory

18.9MiB live, 18.9MiB allocated; 0ms collecting garbage

Pruning

10 alts after pruning (2 fresh and 8 done)

	Pruned	Kept	Total
New	89	2	91
Fresh	0	0	0
Picked	2	1	3
Done	0	7	7
Total	91	10	101

Accuracy

100.0%

Counts

101 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	90.0%	(fma.f64 (*.f64 (neg.f64 x) x) y x)
✓	99.9%	(fma.f64 (*.f64 y (neg.f64 x)) x x)
	60.4%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 4 binary64))) x) (.f64 (+.f64 (.f64 (.f64 x y) (.f64 x y)) #s(literal 1 binary64)) (fma.f64 y x #s(literal 1 binary64))))
✓	23.8%	(/.f64 #s(approx (* (- 1 (pow (* y x) 2)) x) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) y) (neg.f64 y))) (fma.f64 y x #s(literal 1 binary64)))
✓	84.0%	(.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y x) x) y)) (fma.f64 y x #s(literal 1 binary64))))
	43.4%	(.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 (.f64 x y))) (.f64 y x))) (fma.f64 y x #s(literal 1 binary64))))
✓	84.0%	(.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 y x) (.f64 y x))) (fma.f64 y x #s(literal 1 binary64))))
✓	50.0%	(.f64 x #s(approx (- 1 ( x y)) (*.f64 (neg.f64 x) y)))
✓	51.1%	(.f64 x #s(approx (- 1 ( x y)) #s(literal 1 binary64)))
✓	45.1%	#s(approx (+ (* (* y (neg x)) x) x) (.f64 (.f64 (neg.f64 x) x) y))

Compiler

Compiled 411 to 185 computations (55% saved)

regimes26.0ms (0.6%)

Memory

-5.1MiB live, 38.5MiB allocated; 6ms collecting garbage

Counts

17 → 1

Calls

Call 1

Inputs
(.f64 x #s(approx (- 1 ( x y)) #s(literal 1 binary64)))
#s(approx (+ (* (* y (neg x)) x) x) (.f64 (.f64 (neg.f64 x) x) y))
(.f64 x #s(approx (- 1 ( x y)) (*.f64 (neg.f64 x) y)))
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))
(fma.f64 (*.f64 y (neg.f64 x)) x x)
(fma.f64 (*.f64 (neg.f64 x) x) y x)
(fma.f64 x #s(literal 1 binary64) (.f64 x (.f64 (neg.f64 x) y)))
(.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 y x) (.f64 y x))) (fma.f64 y x #s(literal 1 binary64))))
(.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y x) x) y)) (fma.f64 y x #s(literal 1 binary64))))
(.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 (.f64 x y))) (.f64 y x))) (fma.f64 y x #s(literal 1 binary64))))
(/.f64 #s(approx (* (- 1 (pow (* y x) 2)) x) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) y) (neg.f64 y))) (fma.f64 y x #s(literal 1 binary64)))
(.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (fma.f64 y x #s(literal 1 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) x) (fma.f64 y x #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64))) x) (fma.f64 (*.f64 y x) (fma.f64 y x #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 4 binary64))) x) (.f64 (+.f64 (.f64 (.f64 x y) (.f64 x y)) #s(literal 1 binary64)) (fma.f64 y x #s(literal 1 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y x) #s(literal 4 binary64))) x) (.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 y x #s(literal 1 binary64))))
(.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (pow.f64 (.f64 x y) #s(literal 1/2 binary64)) (pow.f64 (.f64 x y) #s(literal 1/2 binary64))) (.f64 y x))) (fma.f64 y x #s(literal 1 binary64))))

Outputs
(fma.f64 (*.f64 y (neg.f64 x)) x x)

Calls

3 calls:

5.0ms	y
5.0ms	x
5.0ms	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))

Results

Accuracy	Segments	Branch
99.9%	1	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))`
99.9%	1	`x`
99.9%	1	`y`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes6.0ms (0.1%)

Memory

16.9MiB live, 16.9MiB allocated; 0ms collecting garbage

Counts

4 → 1

Calls

Call 1

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

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

Calls

3 calls:

2.0ms	y
2.0ms	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))
2.0ms	x

Results

Accuracy	Segments	Branch
99.8%	1	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))`
99.8%	1	`x`
99.8%	1	`y`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes14.0ms (0.3%)

Memory

-39.0MiB live, 15.8MiB allocated; 13ms collecting garbage

Counts

3 → 3

Calls

Call 1

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

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

Calls

3 calls:

1.0ms	x
1.0ms	y
1.0ms	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))

Results

Accuracy	Segments	Branch
81.4%	3	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))`
73.5%	3	`x`
75.1%	3	`y`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes3.0ms (0.1%)

Memory

6.5MiB live, 6.5MiB allocated; 0ms collecting garbage

Counts

2 → 3

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
78.5%	3	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes3.0ms (0.1%)

Memory

11.2MiB live, 11.2MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

1.0ms	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))
1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
51.1%	1	`x`
51.1%	1	`y`
51.1%	1	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	4.2285640194373e+137	7.75807134820411e+146
0.0ms	-1.9592902851502888e+151	-1.3010202305172346e+150

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	4.2285640194373e+137	7.75807134820411e+146
0.0ms	-1.9592902851502888e+151	-1.3010202305172346e+150

Compiler

Compiled 10 to 11 computations (-10% saved)

simplify30.0ms (0.7%)

Memory

-7.1MiB live, 36.9MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	110
1	62	109
2	111	109
3	187	109
4	296	109
5	1051	109

Stop Event

1×	node limit

Calls

Call 1

Inputs
(fma.f64 (*.f64 y (neg.f64 x)) x x)
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))
(if (<=.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y))) #s(literal -10000000000000000171775323872177191180393104084305455107732328445200031262781885420082626742861173182722545959543542834786931126445173006249634549465088 binary64)) (.f64 x #s(approx (- 1 ( x y)) (.f64 (neg.f64 x) y))) (if (<=.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y))) #s(literal 500000000000000016420781244602463039493506283179805847756156713129373503449393997772000657813863706341974752392161217789324245317105745920 binary64)) (.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) (.f64 x #s(approx (- 1 ( x y)) (*.f64 (neg.f64 x) y)))))
(if (<=.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y))) #s(literal -10000000000000000171775323872177191180393104084305455107732328445200031262781885420082626742861173182722545959543542834786931126445173006249634549465088 binary64)) #s(approx (+ (* (* y (neg x)) x) x) (.f64 (.f64 (neg.f64 x) x) y)) (if (<=.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y))) #s(literal 500000000000000016420781244602463039493506283179805847756156713129373503449393997772000657813863706341974752392161217789324245317105745920 binary64)) (.f64 x #s(approx (- 1 ( x y)) #s(literal 1 binary64))) #s(approx (+ (* (* y (neg x)) x) x) (.f64 (.f64 (neg.f64 x) x) y))))
(.f64 x #s(approx (- 1 ( x y)) #s(literal 1 binary64)))

Outputs
(fma.f64 (*.f64 y (neg.f64 x)) x x)
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))
(if (<=.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y))) #s(literal -10000000000000000171775323872177191180393104084305455107732328445200031262781885420082626742861173182722545959543542834786931126445173006249634549465088 binary64)) (.f64 x #s(approx (- 1 ( x y)) (.f64 (neg.f64 x) y))) (if (<=.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y))) #s(literal 500000000000000016420781244602463039493506283179805847756156713129373503449393997772000657813863706341974752392161217789324245317105745920 binary64)) (.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) (.f64 x #s(approx (- 1 ( x y)) (*.f64 (neg.f64 x) y)))))
(if (or (<=.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y))) #s(literal -10000000000000000171775323872177191180393104084305455107732328445200031262781885420082626742861173182722545959543542834786931126445173006249634549465088 binary64)) (not (<=.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y))) #s(literal 500000000000000016420781244602463039493506283179805847756156713129373503449393997772000657813863706341974752392161217789324245317105745920 binary64)))) (.f64 x #s(approx (- 1 ( x y)) (.f64 (neg.f64 x) y))) (.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))))
(if (<=.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y))) #s(literal -10000000000000000171775323872177191180393104084305455107732328445200031262781885420082626742861173182722545959543542834786931126445173006249634549465088 binary64)) #s(approx (+ (* (* y (neg x)) x) x) (.f64 (.f64 (neg.f64 x) x) y)) (if (<=.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y))) #s(literal 500000000000000016420781244602463039493506283179805847756156713129373503449393997772000657813863706341974752392161217789324245317105745920 binary64)) (.f64 x #s(approx (- 1 ( x y)) #s(literal 1 binary64))) #s(approx (+ (* (* y (neg x)) x) x) (.f64 (.f64 (neg.f64 x) x) y))))
(if (or (<=.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y))) #s(literal -10000000000000000171775323872177191180393104084305455107732328445200031262781885420082626742861173182722545959543542834786931126445173006249634549465088 binary64)) (not (<=.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y))) #s(literal 500000000000000016420781244602463039493506283179805847756156713129373503449393997772000657813863706341974752392161217789324245317105745920 binary64)))) #s(approx (+ (* (* y (neg x)) x) x) (.f64 (.f64 (neg.f64 x) x) y)) (.f64 x #s(approx (- 1 ( x y)) #s(literal 1 binary64))))
(.f64 x #s(approx (- 1 ( x y)) #s(literal 1 binary64)))

derivations194.0ms (4.6%)

Memory

-0.6MiB live, 149.4MiB allocated; 27ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 110 to 32 computations (70.9% saved)

preprocess41.0ms (1%)

Memory: 10.6MiB live, 57.7MiB allocated; 3ms collecting garbage
Compiler: Compiled 234 to 76 computations (67.5% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample737.0ms (17.3%)

explain98.0ms (2.3%)

preprocess193.0ms (4.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify297.0ms (7%)

localize47.0ms (1.1%)

series5.0ms (0.1%)

simplify134.0ms (3.2%)

rewrite91.0ms (2.1%)

eval8.0ms (0.2%)

prune4.0ms (0.1%)

simplify151.0ms (3.5%)

localize151.0ms (3.5%)

series22.0ms (0.5%)

simplify394.0ms (9.2%)

rewrite79.0ms (1.8%)

eval59.0ms (1.4%)

prune11.0ms (0.3%)

simplify168.0ms (3.9%)

localize113.0ms (2.7%)

series23.0ms (0.5%)

simplify408.0ms (9.6%)

rewrite70.0ms (1.6%)

eval21.0ms (0.5%)

prune9.0ms (0.2%)

simplify148.0ms (3.5%)

localize212.0ms (5%)

series70.0ms (1.6%)

simplify154.0ms (3.6%)

rewrite30.0ms (0.7%)

eval35.0ms (0.8%)

prune8.0ms (0.2%)

regimes26.0ms (0.6%)

regimes6.0ms (0.1%)

regimes14.0ms (0.3%)

regimes3.0ms (0.1%)

regimes3.0ms (0.1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

simplify30.0ms (0.7%)

derivations194.0ms (4.6%)

preprocess41.0ms (1%)

end0.0ms (0%)

Profiling