Metrics for Diagrams.Trail:splitAtParam from diagrams-lib-1.3.0.3, B

start0.0ms (0%)

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

analyze11.0ms (0.3%)

Memory

4.5MiB live, 4.5MiB 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
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
50%	50%	50%	0.1%	0%	0%	0%	3
50%	50%	50%	0.1%	0%	0%	0%	4
75%	74.9%	25%	0.1%	0%	0%	0%	5
75%	74.9%	25%	0.1%	0%	0%	0%	6
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	7
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	8
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	9
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	10
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	11
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	12

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample818.0ms (20.1%)

Memory

39.6MiB live, 459.1MiB allocated; 51ms collecting garbage

Samples

525.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 264.0ms

ival-mult: 120.0ms (45.4% of total)

ival-div: 47.0ms (17.8% of total)

ival-assert: 45.0ms (17% of total)

ival-add: 39.0ms (14.8% of total)

ival-true: 5.0ms (1.9% of total)

exact: 5.0ms (1.9% of total)

adjust: 2.0ms (0.8% of total)

Bogosity

explain68.0ms (1.7%)

Memory

-6.4MiB live, 86.4MiB allocated; 13ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
37	-	-	`(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))`
0	-	-	`(+.f64 y #s(literal 1 binary64))`
0	-	-	`y`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(*.f64 x y)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))`	o/n	37	0
↳	`(*.f64 x y)`	overflow	37

Confusion

	Predicted +	Predicted -
+	37	0
-	0	219

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	37	0	0
-	0	0	219

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	219
1	37

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

37.0ms

512×

valid

Compiler

Compiled 43 to 22 computations (48.8% saved)

Precisions

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

ival-div: 18.0ms (71% of total)

ival-mult: 4.0ms (15.8% of total)

ival-add: 3.0ms (11.8% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

preprocess281.0ms (6.9%)

Memory

-11.0MiB live, 188.7MiB allocated; 42ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	43
1	41	39
2	108	37
3	235	37
4	335	37
5	918	35
6	7096	35
0	6	7
0	9	7
1	15	7
2	21	7
3	33	7
4	67	7
5	276	7
6	2491	7
7	6215	7
0	8213	7

Stop Event

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

Calls

Call 1

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

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

Symmetry

(negabs 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

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

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	86.4%	(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify195.0ms (4.8%)

Memory

11.4MiB live, 154.2MiB allocated; 14ms collecting garbage

Localize:

Found 3 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	16
0	9	16
1	15	16
2	21	16
3	33	16
4	67	16
5	276	16
6	2491	16
7	6215	16
0	8213	16

Stop Event

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

Calls

Call 1

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

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

localize48.0ms (1.2%)

Memory

-17.0MiB live, 30.0MiB allocated; 2ms collecting garbage

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 y #s(literal 1 binary64))
accuracy	0.0	(*.f64 x y)
accuracy	8.710052599744417	(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))

Samples

11.0ms

256×

valid

Compiler

Compiled 18 to 8 computations (55.6% saved)

Precisions

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

ival-div: 2.0ms (39.4% of total)

ival-mult: 2.0ms (39.4% of total)

ival-add: 1.0ms (19.7% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Memory

10.7MiB live, 10.7MiB allocated; 0ms collecting garbage

Counts

3 → 16

Calls

Call 1

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

Outputs
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (/ (* x y) (+ 1 y))))
#s(approx (* x y) #s(hole binary64 (* x y)))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (* x y)))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (* y (+ x (* -1 (* x y))))))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (* y (+ x (* y (- (* x y) x))))))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))))))
#s(approx (+ y 1) #s(hole binary64 1))
#s(approx (+ y 1) #s(hole binary64 (+ 1 y)))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 x))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (+ x (* -1 (/ x y)))))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (- (+ x (/ x (pow y 2))) (/ x y))))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y)))))
#s(approx (+ y 1) #s(hole binary64 y))
#s(approx (+ y 1) #s(hole binary64 (* y (+ 1 (/ 1 y)))))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (+ x (* -1 (/ (+ x (* -1 (/ x y))) y)))))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y)))))

Calls

6 calls:

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

simplify310.0ms (7.6%)

Memory

30.4MiB live, 260.6MiB allocated; 69ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	232
1	166	220
2	415	212
3	1551	212
0	8082	210

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 16

Calls

Call 1

Inputs
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (/ (* x y) (+ 1 y))))
#s(approx (* x y) #s(hole binary64 (* x y)))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (* x y)))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (* y (+ x (* -1 (* x y))))))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (* y (+ x (* y (- (* x y) x))))))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))))))
#s(approx (+ y 1) #s(hole binary64 1))
#s(approx (+ y 1) #s(hole binary64 (+ 1 y)))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 x))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (+ x (* -1 (/ x y)))))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (- (+ x (/ x (pow y 2))) (/ x y))))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y)))))
#s(approx (+ y 1) #s(hole binary64 y))
#s(approx (+ y 1) #s(hole binary64 (* y (+ 1 (/ 1 y)))))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (+ x (* -1 (/ (+ x (* -1 (/ x y))) y)))))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y)))))

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

rewrite87.0ms (2.1%)

Memory

-2.1MiB live, 44.3MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
0	9	13
1	32	13
0	189	13

Stop Event

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

Counts

3 → 23

Calls

Call 1

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

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

eval3.0ms (0.1%)

Memory: 5.5MiB live, 5.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 440 to 105 computations (76.1% saved)

prune20.0ms (0.5%)

Memory

-38.5MiB live, 9.5MiB allocated; 1ms collecting garbage

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	31	5	36
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	31	6	37

Accuracy

100.0%

Counts

37 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	86.4%	(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
▶	87.6%	(*.f64 y (/.f64 x (-.f64 y #s(literal -1 binary64))))
▶	53.9%	#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))
▶	46.4%	#s(approx (/ (* x y) (+ y 1)) (*.f64 (fma.f64 (neg.f64 x) y x) y))
▶	47.4%	#s(approx (/ (* x y) (+ y 1)) (*.f64 y x))
▶	54.4%	#s(approx (/ (* x y) (+ y 1)) x)

Compiler

Compiled 117 to 86 computations (26.5% saved)

simplify148.0ms (3.6%)

Memory

38.5MiB live, 133.4MiB allocated; 38ms collecting garbage

Localize:

Found 13 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	98
0	30	98
1	43	98
2	66	98
3	112	98
4	249	98
5	703	98
6	4735	98
0	8206	98

Stop Event

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

Calls

Call 1

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

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

localize95.0ms (2.3%)

Memory

-30.7MiB live, 65.2MiB allocated; 6ms collecting garbage

Localize:

Found 13 expressions of interest:

New	Metric	Score
accuracy	0.0	(/.f64 x y)
accuracy	0.01171875	(-.f64 x (/.f64 x y))
accuracy	29.513054276419563	#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))
accuracy	0.0	(fma.f64 (neg.f64 x) y x)
accuracy	0.0	(neg.f64 x)
accuracy	0.05859375	(*.f64 (fma.f64 (neg.f64 x) y x) y)
accuracy	34.26873040752179	#s(approx (/ (* x y) (+ y 1)) (*.f64 (fma.f64 (neg.f64 x) y x) y))
accuracy	0.0	(*.f64 y x)
accuracy	33.635540055453596	#s(approx (/ (* x y) (+ y 1)) (*.f64 y x))
accuracy	29.155033411889924	#s(approx (/ (* x y) (+ y 1)) x)
accuracy	0.0	(-.f64 y #s(literal -1 binary64))
accuracy	0.0078125	(/.f64 x (-.f64 y #s(literal -1 binary64)))
accuracy	7.899851931761758	(*.f64 y (/.f64 x (-.f64 y #s(literal -1 binary64))))

Samples

85.0ms

256×

valid

Compiler

Compiled 82 to 19 computations (76.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

ival-add: 29.0ms (63.8% of total)

ival-mult: 8.0ms (17.6% of total)

ival-div: 5.0ms (11% of total)

ival-sub: 3.0ms (6.6% of total)

ival-neg: 1.0ms (2.2% 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)

series12.0ms (0.3%)

Memory

15.5MiB live, 15.5MiB allocated; 0ms collecting garbage

Counts

13 → 60

Calls

Call 1

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

Outputs
#s(approx (* y (/ x (- y -1))) #s(hole binary64 (/ (* x y) (+ 1 y))))
#s(approx (/ x (- y -1)) #s(hole binary64 (/ x (+ 1 y))))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (/ (* x y) (+ 1 y))))
#s(approx (* y x) #s(hole binary64 (* x y)))
#s(approx (* (+ (* (neg x) y) x) y) #s(hole binary64 (* x (* y (+ 1 (* -1 y))))))
#s(approx (+ (* (neg x) y) x) #s(hole binary64 (* x (+ 1 (* -1 y)))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (- x (/ x y)) #s(hole binary64 (* x (- 1 (/ 1 y)))))
#s(approx (/ x y) #s(hole binary64 (/ x y)))
#s(approx (* (+ (* (neg x) y) x) y) #s(hole binary64 (* -1 (* x (* y (- y 1))))))
#s(approx (+ (* (neg x) y) x) #s(hole binary64 (* -1 (* x (- y 1)))))
#s(approx (- x (/ x y)) #s(hole binary64 (* -1 (* x (- (/ 1 y) 1)))))
#s(approx (* y (/ x (- y -1))) #s(hole binary64 (* x y)))
#s(approx (* y (/ x (- y -1))) #s(hole binary64 (* y (+ x (* -1 (* x y))))))
#s(approx (* y (/ x (- y -1))) #s(hole binary64 (* y (+ x (* y (- (* x y) x))))))
#s(approx (* y (/ x (- y -1))) #s(hole binary64 (* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))))))
#s(approx (/ x (- y -1)) #s(hole binary64 x))
#s(approx (/ x (- y -1)) #s(hole binary64 (+ x (* -1 (* x y)))))
#s(approx (/ x (- y -1)) #s(hole binary64 (+ x (* y (- (* x y) x)))))
#s(approx (/ x (- y -1)) #s(hole binary64 (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x)))))
#s(approx (- y -1) #s(hole binary64 1))
#s(approx (- y -1) #s(hole binary64 (+ 1 y)))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (* x y)))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (* y (+ x (* -1 (* x y))))))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (* y (+ x (* y (- (* x y) x))))))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))))))
#s(approx (* (+ (* (neg x) y) x) y) #s(hole binary64 (* x y)))
#s(approx (* (+ (* (neg x) y) x) y) #s(hole binary64 (* y (+ x (* -1 (* x y))))))
#s(approx (+ (* (neg x) y) x) #s(hole binary64 x))
#s(approx (+ (* (neg x) y) x) #s(hole binary64 (+ x (* -1 (* x y)))))
#s(approx (- x (/ x y)) #s(hole binary64 (* -1 (/ x y))))
#s(approx (- x (/ x y)) #s(hole binary64 (/ (- (* x y) x) y)))
#s(approx (* y (/ x (- y -1))) #s(hole binary64 x))
#s(approx (* y (/ x (- y -1))) #s(hole binary64 (+ x (* -1 (/ x y)))))
#s(approx (* y (/ x (- y -1))) #s(hole binary64 (- (+ x (/ x (pow y 2))) (/ x y))))
#s(approx (* y (/ x (- y -1))) #s(hole binary64 (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y)))))
#s(approx (/ x (- y -1)) #s(hole binary64 (/ x y)))
#s(approx (/ x (- y -1)) #s(hole binary64 (/ (+ x (* -1 (/ x y))) y)))
#s(approx (/ x (- y -1)) #s(hole binary64 (/ (- (+ x (/ x (pow y 2))) (/ x y)) y)))
#s(approx (/ x (- y -1)) #s(hole binary64 (/ (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) y)))
#s(approx (- y -1) #s(hole binary64 y))
#s(approx (- y -1) #s(hole binary64 (* y (+ 1 (/ 1 y)))))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 x))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (+ x (* -1 (/ x y)))))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (- (+ x (/ x (pow y 2))) (/ x y))))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y)))))
#s(approx (* (+ (* (neg x) y) x) y) #s(hole binary64 (* -1 (* x (pow y 2)))))
#s(approx (* (+ (* (neg x) y) x) y) #s(hole binary64 (* (pow y 2) (+ (* -1 x) (/ x y)))))
#s(approx (+ (* (neg x) y) x) #s(hole binary64 (* -1 (* x y))))
#s(approx (+ (* (neg x) y) x) #s(hole binary64 (* y (+ (* -1 x) (/ x y)))))
#s(approx (- x (/ x y)) #s(hole binary64 x))
#s(approx (- x (/ x y)) #s(hole binary64 (+ x (* -1 (/ x y)))))
#s(approx (* y (/ x (- y -1))) #s(hole binary64 (+ x (* -1 (/ (+ x (* -1 (/ x y))) y)))))
#s(approx (* y (/ x (- y -1))) #s(hole binary64 (+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y)))))
#s(approx (/ x (- y -1)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (/ x y)) y))))
#s(approx (/ x (- y -1)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ x y) x) y))) y))))
#s(approx (/ x (- y -1)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ x y) x) y)) x) y))) y))))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (+ x (* -1 (/ (+ x (* -1 (/ x y))) y)))))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y)))))
#s(approx (+ (* (neg x) y) x) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ x y)))))))

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	((* y (/ x (- y -1))) (/ x (- y -1)) (- y -1) (/ (* x y) (+ y 1)) (/ (* x y) (+ y 1)) (* y x) (/ (* x y) (+ y 1)) (* (+ (* (neg x) y) x) y) (+ (* (neg x) y) x) (neg x) (/ (* x y) (+ y 1)) (- x (/ x y)) (/ x y))
2.0ms	y	@	inf	((* y (/ x (- y -1))) (/ x (- y -1)) (- y -1) (/ (* x y) (+ y 1)) (/ (* x y) (+ y 1)) (* y x) (/ (* x y) (+ y 1)) (* (+ (* (neg x) y) x) y) (+ (* (neg x) y) x) (neg x) (/ (* x y) (+ y 1)) (- x (/ x y)) (/ x y))
2.0ms	x	@	inf	((* y (/ x (- y -1))) (/ x (- y -1)) (- y -1) (/ (* x y) (+ y 1)) (/ (* x y) (+ y 1)) (* y x) (/ (* x y) (+ y 1)) (* (+ (* (neg x) y) x) y) (+ (* (neg x) y) x) (neg x) (/ (* x y) (+ y 1)) (- x (/ x y)) (/ x y))
2.0ms	x	@	0	((* y (/ x (- y -1))) (/ x (- y -1)) (- y -1) (/ (* x y) (+ y 1)) (/ (* x y) (+ y 1)) (* y x) (/ (* x y) (+ y 1)) (* (+ (* (neg x) y) x) y) (+ (* (neg x) y) x) (neg x) (/ (* x y) (+ y 1)) (- x (/ x y)) (/ x y))
1.0ms	y	@	-inf	((* y (/ x (- y -1))) (/ x (- y -1)) (- y -1) (/ (* x y) (+ y 1)) (/ (* x y) (+ y 1)) (* y x) (/ (* x y) (+ y 1)) (* (+ (* (neg x) y) x) y) (+ (* (neg x) y) x) (neg x) (/ (* x y) (+ y 1)) (- x (/ x y)) (/ x y))

simplify221.0ms (5.4%)

Memory

-4.0MiB live, 182.8MiB allocated; 17ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	158	888
1	379	817
2	949	797
3	3001	797
0	8221	788

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

Inputs
#s(approx (* y (/ x (- y -1))) #s(hole binary64 (/ (* x y) (+ 1 y))))
#s(approx (/ x (- y -1)) #s(hole binary64 (/ x (+ 1 y))))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (/ (* x y) (+ 1 y))))
#s(approx (* y x) #s(hole binary64 (* x y)))
#s(approx (* (+ (* (neg x) y) x) y) #s(hole binary64 (* x (* y (+ 1 (* -1 y))))))
#s(approx (+ (* (neg x) y) x) #s(hole binary64 (* x (+ 1 (* -1 y)))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (- x (/ x y)) #s(hole binary64 (* x (- 1 (/ 1 y)))))
#s(approx (/ x y) #s(hole binary64 (/ x y)))
#s(approx (* (+ (* (neg x) y) x) y) #s(hole binary64 (* -1 (* x (* y (- y 1))))))
#s(approx (+ (* (neg x) y) x) #s(hole binary64 (* -1 (* x (- y 1)))))
#s(approx (- x (/ x y)) #s(hole binary64 (* -1 (* x (- (/ 1 y) 1)))))
#s(approx (* y (/ x (- y -1))) #s(hole binary64 (* x y)))
#s(approx (* y (/ x (- y -1))) #s(hole binary64 (* y (+ x (* -1 (* x y))))))
#s(approx (* y (/ x (- y -1))) #s(hole binary64 (* y (+ x (* y (- (* x y) x))))))
#s(approx (* y (/ x (- y -1))) #s(hole binary64 (* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))))))
#s(approx (/ x (- y -1)) #s(hole binary64 x))
#s(approx (/ x (- y -1)) #s(hole binary64 (+ x (* -1 (* x y)))))
#s(approx (/ x (- y -1)) #s(hole binary64 (+ x (* y (- (* x y) x)))))
#s(approx (/ x (- y -1)) #s(hole binary64 (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x)))))
#s(approx (- y -1) #s(hole binary64 1))
#s(approx (- y -1) #s(hole binary64 (+ 1 y)))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (* x y)))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (* y (+ x (* -1 (* x y))))))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (* y (+ x (* y (- (* x y) x))))))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))))))
#s(approx (* (+ (* (neg x) y) x) y) #s(hole binary64 (* x y)))
#s(approx (* (+ (* (neg x) y) x) y) #s(hole binary64 (* y (+ x (* -1 (* x y))))))
#s(approx (+ (* (neg x) y) x) #s(hole binary64 x))
#s(approx (+ (* (neg x) y) x) #s(hole binary64 (+ x (* -1 (* x y)))))
#s(approx (- x (/ x y)) #s(hole binary64 (* -1 (/ x y))))
#s(approx (- x (/ x y)) #s(hole binary64 (/ (- (* x y) x) y)))
#s(approx (* y (/ x (- y -1))) #s(hole binary64 x))
#s(approx (* y (/ x (- y -1))) #s(hole binary64 (+ x (* -1 (/ x y)))))
#s(approx (* y (/ x (- y -1))) #s(hole binary64 (- (+ x (/ x (pow y 2))) (/ x y))))
#s(approx (* y (/ x (- y -1))) #s(hole binary64 (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y)))))
#s(approx (/ x (- y -1)) #s(hole binary64 (/ x y)))
#s(approx (/ x (- y -1)) #s(hole binary64 (/ (+ x (* -1 (/ x y))) y)))
#s(approx (/ x (- y -1)) #s(hole binary64 (/ (- (+ x (/ x (pow y 2))) (/ x y)) y)))
#s(approx (/ x (- y -1)) #s(hole binary64 (/ (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) y)))
#s(approx (- y -1) #s(hole binary64 y))
#s(approx (- y -1) #s(hole binary64 (* y (+ 1 (/ 1 y)))))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 x))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (+ x (* -1 (/ x y)))))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (- (+ x (/ x (pow y 2))) (/ x y))))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y)))))
#s(approx (* (+ (* (neg x) y) x) y) #s(hole binary64 (* -1 (* x (pow y 2)))))
#s(approx (* (+ (* (neg x) y) x) y) #s(hole binary64 (* (pow y 2) (+ (* -1 x) (/ x y)))))
#s(approx (+ (* (neg x) y) x) #s(hole binary64 (* -1 (* x y))))
#s(approx (+ (* (neg x) y) x) #s(hole binary64 (* y (+ (* -1 x) (/ x y)))))
#s(approx (- x (/ x y)) #s(hole binary64 x))
#s(approx (- x (/ x y)) #s(hole binary64 (+ x (* -1 (/ x y)))))
#s(approx (* y (/ x (- y -1))) #s(hole binary64 (+ x (* -1 (/ (+ x (* -1 (/ x y))) y)))))
#s(approx (* y (/ x (- y -1))) #s(hole binary64 (+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y)))))
#s(approx (/ x (- y -1)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (/ x y)) y))))
#s(approx (/ x (- y -1)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ x y) x) y))) y))))
#s(approx (/ x (- y -1)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ x y) x) y)) x) y))) y))))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (+ x (* -1 (/ (+ x (* -1 (/ x y))) y)))))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y)))))
#s(approx (+ (* (neg x) y) x) #s(hole binary64 (* -1 (* y (+ x (* -1 (/ x y)))))))

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

rewrite38.0ms (0.9%)

Memory

8.3MiB live, 54.7MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	88
0	30	88
1	95	88
0	582	88

Stop Event

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

Counts

13 → 86

Calls

Call 1

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

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

eval20.0ms (0.5%)

Memory: -16.1MiB live, 35.6MiB allocated; 8ms collecting garbage
Compiler: Compiled 2 050 to 366 computations (82.1% saved)

prune5.0ms (0.1%)

Memory

14.8MiB live, 14.8MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	118	1	119
Fresh	0	0	0
Picked	0	5	5
Done	0	1	1
Total	118	7	125

Accuracy

100.0%

Counts

125 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	86.4%	(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
✓	87.6%	(*.f64 y (/.f64 x (-.f64 y #s(literal -1 binary64))))
▶	46.4%	#s(approx (/ (* x y) (+ y 1)) (fma.f64 (.f64 (neg.f64 x) y) y (.f64 x y)))
✓	53.9%	#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))
✓	46.4%	#s(approx (/ (* x y) (+ y 1)) (*.f64 (fma.f64 (neg.f64 x) y x) y))
✓	47.4%	#s(approx (/ (* x y) (+ y 1)) (*.f64 y x))
✓	54.4%	#s(approx (/ (* x y) (+ y 1)) x)

Compiler

Compiled 79 to 57 computations (27.8% saved)

simplify114.0ms (2.8%)

Memory

5.8MiB live, 145.1MiB allocated; 6ms collecting garbage

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	37
0	16	35
1	31	35
2	72	33
3	154	33
4	337	33
5	779	33
6	4825	33
0	8368	33

Stop Event

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

Calls

Call 1

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

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

localize39.0ms (1%)

Memory

-26.2MiB live, 71.7MiB allocated; 8ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x y)
accuracy	0.0	(neg.f64 x)
accuracy	5.289019152434322	(fma.f64 (.f64 (neg.f64 x) y) y (.f64 x y))
accuracy	34.26873040752179	#s(approx (/ (* x y) (+ y 1)) (fma.f64 (.f64 (neg.f64 x) y) y (.f64 x y)))

Samples

31.0ms

256×

valid

Compiler

Compiled 30 to 12 computations (60% saved)

Precisions

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

exact: 12.0ms (53.2% of total)

ival-mult: 5.0ms (22.2% of total)

ival-add: 3.0ms (13.3% of total)

ival-div: 1.0ms (4.4% of total)

ival-neg: 1.0ms (4.4% of total)

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

adjust: 0.0ms (0% of total)

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

series7.0ms (0.2%)

Memory

16.8MiB live, 16.8MiB allocated; 0ms collecting garbage

Counts

5 → 20

Calls

Call 1

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

Outputs
#s(approx (+ (* (* (neg x) y) y) (* x y)) #s(hole binary64 (* x (+ y (* -1 (pow y 2))))))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (/ (* x y) (+ 1 y))))
#s(approx (* (neg x) y) #s(hole binary64 (* -1 (* x y))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (* x y) #s(hole binary64 (* x y)))
#s(approx (+ (* (* (neg x) y) y) (* x y)) #s(hole binary64 (* -1 (* x (+ (* -1 y) (pow y 2))))))
#s(approx (+ (* (* (neg x) y) y) (* x y)) #s(hole binary64 (* x y)))
#s(approx (+ (* (* (neg x) y) y) (* x y)) #s(hole binary64 (* y (+ x (* -1 (* x y))))))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (* x y)))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (* y (+ x (* -1 (* x y))))))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (* y (+ x (* y (- (* x y) x))))))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))))))
#s(approx (+ (* (* (neg x) y) y) (* x y)) #s(hole binary64 (* -1 (* x (pow y 2)))))
#s(approx (+ (* (* (neg x) y) y) (* x y)) #s(hole binary64 (* (pow y 2) (+ (* -1 x) (/ x y)))))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 x))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (+ x (* -1 (/ x y)))))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (- (+ x (/ x (pow y 2))) (/ x y))))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y)))))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (+ x (* -1 (/ (+ x (* -1 (/ x y))) y)))))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y)))))

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	((+ (* (* (neg x) y) y) (* x y)) (/ (* x y) (+ y 1)) (* (neg x) y) (neg x) (* x y))
1.0ms	x	@	inf	((+ (* (* (neg x) y) y) (* x y)) (/ (* x y) (+ y 1)) (* (neg x) y) (neg x) (* x y))
1.0ms	x	@	-inf	((+ (* (* (neg x) y) y) (* x y)) (/ (* x y) (+ y 1)) (* (neg x) y) (neg x) (* x y))
1.0ms	y	@	inf	((+ (* (* (neg x) y) y) (* x y)) (/ (* x y) (+ y 1)) (* (neg x) y) (neg x) (* x y))
1.0ms	y	@	-inf	((+ (* (* (neg x) y) y) (* x y)) (/ (* x y) (+ y 1)) (* (neg x) y) (neg x) (* x y))

simplify147.0ms (3.6%)

Memory

-9.0MiB live, 178.6MiB allocated; 33ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	80	317
1	220	295
2	531	287
3	1678	287
4	7074	287
0	8251	284

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 20

Calls

Call 1

Inputs
#s(approx (+ (* (* (neg x) y) y) (* x y)) #s(hole binary64 (* x (+ y (* -1 (pow y 2))))))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (/ (* x y) (+ 1 y))))
#s(approx (* (neg x) y) #s(hole binary64 (* -1 (* x y))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (* x y) #s(hole binary64 (* x y)))
#s(approx (+ (* (* (neg x) y) y) (* x y)) #s(hole binary64 (* -1 (* x (+ (* -1 y) (pow y 2))))))
#s(approx (+ (* (* (neg x) y) y) (* x y)) #s(hole binary64 (* x y)))
#s(approx (+ (* (* (neg x) y) y) (* x y)) #s(hole binary64 (* y (+ x (* -1 (* x y))))))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (* x y)))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (* y (+ x (* -1 (* x y))))))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (* y (+ x (* y (- (* x y) x))))))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))))))
#s(approx (+ (* (* (neg x) y) y) (* x y)) #s(hole binary64 (* -1 (* x (pow y 2)))))
#s(approx (+ (* (* (neg x) y) y) (* x y)) #s(hole binary64 (* (pow y 2) (+ (* -1 x) (/ x y)))))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 x))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (+ x (* -1 (/ x y)))))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (- (+ x (/ x (pow y 2))) (/ x y))))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y)))))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (+ x (* -1 (/ (+ x (* -1 (/ x y))) y)))))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y)))))

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

rewrite47.0ms (1.2%)

Memory

28.0MiB live, 73.2MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	35
0	16	33
1	59	33
0	402	31

Stop Event

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

Counts

5 → 46

Calls

Call 1

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

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

eval17.0ms (0.4%)

Memory: -15.6MiB live, 24.4MiB allocated; 11ms collecting garbage
Compiler: Compiled 1 325 to 195 computations (85.3% saved)

prune3.0ms (0.1%)

Memory

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

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	59	2	61
Fresh	0	0	0
Picked	1	0	1
Done	0	6	6
Total	60	8	68

Accuracy

100.0%

Counts

68 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	86.4%	(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
✓	87.6%	(*.f64 y (/.f64 x (-.f64 y #s(literal -1 binary64))))
✓	53.9%	#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))
✓	46.4%	#s(approx (/ (* x y) (+ y 1)) (*.f64 (fma.f64 (neg.f64 x) y x) y))
▶	46.5%	#s(approx (/ (* x y) (+ y 1)) (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y x)))
▶	46.4%	#s(approx (/ (* x y) (+ y 1)) (.f64 (neg.f64 x) (-.f64 (.f64 y y) y)))
✓	47.4%	#s(approx (/ (* x y) (+ y 1)) (*.f64 y x))
✓	54.4%	#s(approx (/ (* x y) (+ y 1)) x)

Compiler

Compiled 93 to 68 computations (26.9% saved)

simplify138.0ms (3.4%)

Memory

-1.7MiB live, 143.1MiB allocated; 31ms collecting garbage

Localize:

Found 8 expressions of interest:

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

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	15	67
0	22	69
1	38	69
2	68	69
3	104	69
4	199	69
5	704	65
6	6881	65
0	8079	65

Stop Event

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

Calls

Call 1

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

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

localize32.0ms (0.8%)

Memory

3.8MiB live, 50.3MiB allocated; 3ms collecting garbage

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 #s(literal 1 binary64) y)
accuracy	0.0	(*.f64 y x)
accuracy	0.0390625	(.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y x))
accuracy	34.26873040752179	#s(approx (/ (* x y) (+ y 1)) (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 y x)))
accuracy	0.0	(neg.f64 x)
accuracy	0.0078125	(-.f64 (*.f64 y y) y)
accuracy	3.33248866679395	(.f64 (neg.f64 x) (-.f64 (.f64 y y) y))
accuracy	34.26873040752179	#s(approx (/ (* x y) (+ y 1)) (.f64 (neg.f64 x) (-.f64 (.f64 y y) y)))

Samples

24.0ms

256×

valid

Compiler

Compiled 52 to 15 computations (71.2% saved)

Precisions

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

ival-mult: 8.0ms (54.6% of total)

ival-div: 2.0ms (13.6% of total)

ival-sub: 2.0ms (13.6% of total)

ival-add: 1.0ms (6.8% of total)

ival-neg: 1.0ms (6.8% 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)

series9.0ms (0.2%)

Memory

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

Counts

8 → 32

Calls

Call 1

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

Outputs
#s(approx (* (neg x) (- (* y y) y)) #s(hole binary64 (* -1 (* x (- (pow y 2) y)))))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (/ (* x y) (+ 1 y))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (* (- 1 y) (* y x)) #s(hole binary64 (* x (* y (- 1 y)))))
#s(approx (* y x) #s(hole binary64 (* x y)))
#s(approx (* (neg x) (- (* y y) y)) #s(hole binary64 (* x y)))
#s(approx (* (neg x) (- (* y y) y)) #s(hole binary64 (* y (+ x (* -1 (* x y))))))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (* x y)))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (* y (+ x (* -1 (* x y))))))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (* y (+ x (* y (- (* x y) x))))))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))))))
#s(approx (- (* y y) y) #s(hole binary64 (* -1 y)))
#s(approx (- (* y y) y) #s(hole binary64 (* y (- y 1))))
#s(approx (* (- 1 y) (* y x)) #s(hole binary64 (* x y)))
#s(approx (* (- 1 y) (* y x)) #s(hole binary64 (* y (+ x (* -1 (* x y))))))
#s(approx (- 1 y) #s(hole binary64 1))
#s(approx (- 1 y) #s(hole binary64 (+ 1 (* -1 y))))
#s(approx (* (neg x) (- (* y y) y)) #s(hole binary64 (* -1 (* x (pow y 2)))))
#s(approx (* (neg x) (- (* y y) y)) #s(hole binary64 (* (pow y 2) (+ (* -1 x) (/ x y)))))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 x))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (+ x (* -1 (/ x y)))))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (- (+ x (/ x (pow y 2))) (/ x y))))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y)))))
#s(approx (- (* y y) y) #s(hole binary64 (pow y 2)))
#s(approx (- (* y y) y) #s(hole binary64 (* (pow y 2) (- 1 (/ 1 y)))))
#s(approx (* (- 1 y) (* y x)) #s(hole binary64 (* -1 (* x (pow y 2)))))
#s(approx (* (- 1 y) (* y x)) #s(hole binary64 (* (pow y 2) (+ (* -1 x) (/ x y)))))
#s(approx (- 1 y) #s(hole binary64 (* -1 y)))
#s(approx (- 1 y) #s(hole binary64 (* y (- (/ 1 y) 1))))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (+ x (* -1 (/ (+ x (* -1 (/ x y))) y)))))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y)))))
#s(approx (- 1 y) #s(hole binary64 (* -1 (* y (- 1 (/ 1 y))))))

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	((* (neg x) (- (* y y) y)) (/ (* x y) (+ y 1)) (neg x) (- (* y y) y) (/ (* x y) (+ y 1)) (* (- 1 y) (* y x)) (- 1 y) (* y x))
2.0ms	x	@	inf	((* (neg x) (- (* y y) y)) (/ (* x y) (+ y 1)) (neg x) (- (* y y) y) (/ (* x y) (+ y 1)) (* (- 1 y) (* y x)) (- 1 y) (* y x))
2.0ms	x	@	-inf	((* (neg x) (- (* y y) y)) (/ (* x y) (+ y 1)) (neg x) (- (* y y) y) (/ (* x y) (+ y 1)) (* (- 1 y) (* y x)) (- 1 y) (* y x))
1.0ms	y	@	-inf	((* (neg x) (- (* y y) y)) (/ (* x y) (+ y 1)) (neg x) (- (* y y) y) (/ (* x y) (+ y 1)) (* (- 1 y) (* y x)) (- 1 y) (* y x))
1.0ms	y	@	inf	((* (neg x) (- (* y y) y)) (/ (* x y) (+ y 1)) (neg x) (- (* y y) y) (/ (* x y) (+ y 1)) (* (- 1 y) (* y x)) (- 1 y) (* y x))

simplify157.0ms (3.8%)

Memory

-12.3MiB live, 174.4MiB allocated; 29ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	104	454
1	241	441
2	615	417
3	2297	416
0	8452	413

Stop Event

1×	iter limit
1×	node limit

Counts

32 → 32

Calls

Call 1

Inputs
#s(approx (* (neg x) (- (* y y) y)) #s(hole binary64 (* -1 (* x (- (pow y 2) y)))))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (/ (* x y) (+ 1 y))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (* (- 1 y) (* y x)) #s(hole binary64 (* x (* y (- 1 y)))))
#s(approx (* y x) #s(hole binary64 (* x y)))
#s(approx (* (neg x) (- (* y y) y)) #s(hole binary64 (* x y)))
#s(approx (* (neg x) (- (* y y) y)) #s(hole binary64 (* y (+ x (* -1 (* x y))))))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (* x y)))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (* y (+ x (* -1 (* x y))))))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (* y (+ x (* y (- (* x y) x))))))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))))))
#s(approx (- (* y y) y) #s(hole binary64 (* -1 y)))
#s(approx (- (* y y) y) #s(hole binary64 (* y (- y 1))))
#s(approx (* (- 1 y) (* y x)) #s(hole binary64 (* x y)))
#s(approx (* (- 1 y) (* y x)) #s(hole binary64 (* y (+ x (* -1 (* x y))))))
#s(approx (- 1 y) #s(hole binary64 1))
#s(approx (- 1 y) #s(hole binary64 (+ 1 (* -1 y))))
#s(approx (* (neg x) (- (* y y) y)) #s(hole binary64 (* -1 (* x (pow y 2)))))
#s(approx (* (neg x) (- (* y y) y)) #s(hole binary64 (* (pow y 2) (+ (* -1 x) (/ x y)))))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 x))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (+ x (* -1 (/ x y)))))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (- (+ x (/ x (pow y 2))) (/ x y))))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y)))))
#s(approx (- (* y y) y) #s(hole binary64 (pow y 2)))
#s(approx (- (* y y) y) #s(hole binary64 (* (pow y 2) (- 1 (/ 1 y)))))
#s(approx (* (- 1 y) (* y x)) #s(hole binary64 (* -1 (* x (pow y 2)))))
#s(approx (* (- 1 y) (* y x)) #s(hole binary64 (* (pow y 2) (+ (* -1 x) (/ x y)))))
#s(approx (- 1 y) #s(hole binary64 (* -1 y)))
#s(approx (- 1 y) #s(hole binary64 (* y (- (/ 1 y) 1))))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (+ x (* -1 (/ (+ x (* -1 (/ x y))) y)))))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y)))))
#s(approx (- 1 y) #s(hole binary64 (* -1 (* y (- 1 (/ 1 y))))))

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

rewrite64.0ms (1.6%)

Memory

-23.5MiB live, 75.8MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	59
0	22	59
1	75	59
0	474	59

Stop Event

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

Counts

8 → 41

Calls

Call 1

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

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

eval9.0ms (0.2%)

Memory: 16.4MiB live, 16.4MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 284 to 228 computations (82.2% saved)

prune5.0ms (0.1%)

Memory

12.1MiB live, 12.1MiB allocated; 0ms collecting garbage

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	62	1	63
Fresh	0	0	0
Picked	1	1	2
Done	0	6	6
Total	63	8	71

Accuracy

100.0%

Counts

71 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	86.4%	(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
✓	87.6%	(*.f64 y (/.f64 x (-.f64 y #s(literal -1 binary64))))
✓	53.9%	#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))
✓	46.4%	#s(approx (/ (* x y) (+ y 1)) (*.f64 (fma.f64 (neg.f64 x) y x) y))
	46.4%	#s(approx (/ (* x y) (+ y 1)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) y) x))
✓	46.4%	#s(approx (/ (* x y) (+ y 1)) (.f64 (neg.f64 x) (-.f64 (.f64 y y) y)))
✓	47.4%	#s(approx (/ (* x y) (+ y 1)) (*.f64 y x))
✓	54.4%	#s(approx (/ (* x y) (+ y 1)) x)

Compiler

Compiled 218 to 105 computations (51.8% saved)

regimes11.0ms (0.3%)

Memory

-24.4MiB live, 22.3MiB allocated; 2ms collecting garbage

Counts

10 → 2

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
3.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
100.0%	2	`(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))`
99.9%	2	`x`
100.0%	3	`y`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes9.0ms (0.2%)

Memory

20.8MiB live, 20.8MiB allocated; 0ms collecting garbage

Counts

9 → 3

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
3.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
100.0%	3	`y`
90.2%	2	`x`
92.3%	3	`(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes3.0ms (0.1%)

Memory

6.2MiB live, 6.2MiB allocated; 0ms collecting garbage

Counts

8 → 3

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
98.9%	3	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes2.0ms (0.1%)

Memory

4.4MiB live, 4.4MiB allocated; 0ms collecting garbage

Counts

5 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
98.3%	3	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes2.0ms (0%)

Memory

3.3MiB live, 3.3MiB allocated; 0ms collecting garbage

Counts

2 → 3

Calls

Call 1

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

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

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
97.8%	3	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes3.0ms (0.1%)

Memory

7.6MiB live, 7.6MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

1.0ms	x
1.0ms	(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
1.0ms	y

Results

Accuracy	Segments	Branch
54.4%	1	`x`
54.4%	1	`(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))`
54.4%	1	`y`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	7.503633298710044e+224	2.7394717656165914e+247

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch21.0ms (0.5%)

Memory

-9.9MiB live, 37.0MiB allocated; 2ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	predicate-same

Steps

Time	Left	Right
9.0ms	21006.745521658417	868816685.4450831
10.0ms	-2.8201668629519595e+23	-522716431962435460.0

Samples

10.0ms

240×

valid

Compiler

Compiled 282 to 252 computations (10.6% saved)

Precisions

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

ival-div: 2.0ms (41.4% of total)

ival-mult: 2.0ms (41.4% of total)

ival-add: 1.0ms (20.7% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

bsearch95.0ms (2.3%)

Memory

5.0MiB live, 46.5MiB allocated; 106ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	0.0015262645364985273	21006.745521658417
81.0ms	-109810447.09311108	-0.09346835879701931

Samples

79.0ms

288×

valid

Compiler

Compiled 514 to 407 computations (20.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-div: 2.0ms (35.7% of total)

ival-mult: 2.0ms (35.7% of total)

ival-add: 1.0ms (17.9% 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)

bsearch5.0ms (0.1%)

Memory

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

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
4.0ms	0.0015262645364985273	21006.745521658417
1.0ms	-109810447.09311108	-0.09346835879701931

Samples

2.0ms

48×

valid

Compiler

Compiled 442 to 371 computations (16.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

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

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

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

adjust: 0.0ms (0% of total)

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

exact: 0.0ms (0% of total)

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

bsearch8.0ms (0.2%)

Memory

-49.2MiB live, 3.0MiB allocated; 16ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.0015262645364985273	21006.745521658417
1.0ms	-109810447.09311108	-0.09346835879701931

Compiler

Compiled 370 to 317 computations (14.3% saved)

simplify58.0ms (1.4%)

Memory

18.5MiB live, 64.2MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	175
1	61	175
2	79	175
3	98	175
4	128	175
5	324	175
6	2642	175
7	6621	175

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 999999999999999928454223448636526995609414612446486912536395043045051171498417578302416590307106934377352009423588636134254484622941461177838218040629861358615028052178586193608330530158506646130887048916655460323666687950848 binary64)) (/.f64 (.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))))
(if (<=.f64 y #s(literal -600000000000000000 binary64)) #s(approx (/ (* x y) (+ y 1)) x) (if (<=.f64 y #s(literal 150000000 binary64)) (.f64 y (/.f64 x (-.f64 y #s(literal -1 binary64)))) #s(approx (/ ( x y) (+ y 1)) (-.f64 x (/.f64 x y)))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (* x y) (+ y 1)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) y) x)) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (* x y) (+ y 1)) x) (if (<=.f64 y #s(literal 3422735716801577/4503599627370496 binary64)) #s(approx (/ (* x y) (+ y 1)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) y) x)) #s(approx (/ (* x y) (+ y 1)) x)))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (* x y) (+ y 1)) x) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (* x y) (+ y 1)) (.f64 y x)) #s(approx (/ ( x y) (+ y 1)) x)))
#s(approx (/ (* x y) (+ y 1)) x)

Outputs
(if (<=.f64 (/.f64 (.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 999999999999999928454223448636526995609414612446486912536395043045051171498417578302416590307106934377352009423588636134254484622941461177838218040629861358615028052178586193608330530158506646130887048916655460323666687950848 binary64)) (/.f64 (.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))))
(if (<=.f64 y #s(literal -600000000000000000 binary64)) #s(approx (/ (* x y) (+ y 1)) x) (if (<=.f64 y #s(literal 150000000 binary64)) (.f64 y (/.f64 x (-.f64 y #s(literal -1 binary64)))) #s(approx (/ ( x y) (+ y 1)) (-.f64 x (/.f64 x y)))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (* x y) (+ y 1)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) y) x)) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))))
(if (or (<=.f64 y #s(literal -1 binary64)) (not (<=.f64 y #s(literal 1 binary64)))) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) #s(approx (/ (* x y) (+ y 1)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) y) x)))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (* x y) (+ y 1)) x) (if (<=.f64 y #s(literal 3422735716801577/4503599627370496 binary64)) #s(approx (/ (* x y) (+ y 1)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) y) x)) #s(approx (/ (* x y) (+ y 1)) x)))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (* x y) (+ y 1)) x) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (* x y) (+ y 1)) (.f64 y x)) #s(approx (/ ( x y) (+ y 1)) x)))
#s(approx (/ (* x y) (+ y 1)) x)

derivations640.0ms (15.7%)

Memory

-10.9MiB live, 561.9MiB allocated; 44ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 191 to 44 computations (77% saved)

preprocess38.0ms (0.9%)

Memory: 22.7MiB live, 69.0MiB allocated; 6ms collecting garbage
Remove: (negabs x)
Compiler: Compiled 544 to 174 computations (68% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze11.0ms (0.3%)

sample818.0ms (20.1%)

explain68.0ms (1.7%)

preprocess281.0ms (6.9%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify195.0ms (4.8%)

localize48.0ms (1.2%)

series6.0ms (0.1%)

simplify310.0ms (7.6%)

rewrite87.0ms (2.1%)

eval3.0ms (0.1%)

prune20.0ms (0.5%)

simplify148.0ms (3.6%)

localize95.0ms (2.3%)

series12.0ms (0.3%)

simplify221.0ms (5.4%)

rewrite38.0ms (0.9%)

eval20.0ms (0.5%)

prune5.0ms (0.1%)

simplify114.0ms (2.8%)

localize39.0ms (1%)

series7.0ms (0.2%)

simplify147.0ms (3.6%)

rewrite47.0ms (1.2%)

eval17.0ms (0.4%)

prune3.0ms (0.1%)

simplify138.0ms (3.4%)

localize32.0ms (0.8%)

series9.0ms (0.2%)

simplify157.0ms (3.8%)

rewrite64.0ms (1.6%)

eval9.0ms (0.2%)

prune5.0ms (0.1%)

regimes11.0ms (0.3%)

regimes9.0ms (0.2%)

regimes3.0ms (0.1%)

regimes2.0ms (0.1%)

regimes2.0ms (0%)

regimes3.0ms (0.1%)

bsearch0.0ms (0%)

bsearch21.0ms (0.5%)

bsearch95.0ms (2.3%)

bsearch5.0ms (0.1%)

bsearch8.0ms (0.2%)

simplify58.0ms (1.4%)

derivations640.0ms (15.7%)

preprocess38.0ms (0.9%)

end0.0ms (0%)

Profiling