Metrics for Codec.Picture.Types:toneMapping from JuicyPixels-3.2.6.1

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze24.0ms (2%)

Memory

3.4MiB live, 42.3MiB allocated

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
25%	25%	74.9%	0.1%	0%	0%	0%	3
37.5%	37.5%	62.4%	0.1%	0%	0%	0%	4
56.3%	56.2%	43.7%	0.1%	0%	0%	0%	5
65.6%	65.6%	34.3%	0.1%	0%	0%	0%	6
76.6%	76.5%	23.4%	0.1%	0%	0%	0%	7
82%	82%	18%	0.1%	0%	0%	0%	8
87.9%	87.8%	12.1%	0.1%	0%	0%	0%	9
90.8%	90.7%	9.2%	0.1%	0%	0%	0%	10
93.8%	93.8%	6.1%	0.1%	0%	0%	0%	11
95.4%	95.3%	4.6%	0.1%	0%	0%	0%	12

Compiler

Compiled 13 to 10 computations (23.1% saved)

sample743.0ms (62.7%)

Memory

40.9MiB live, 1 101.5MiB allocated

Samples

498.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 317.0ms

ival-div: 134.0ms (42.3% of total)

ival-add: 93.0ms (29.4% of total)

ival-mult: 74.0ms (23.4% of total)

ival-true: 7.0ms (2.2% of total)

exact: 5.0ms (1.6% of total)

ival-assert: 4.0ms (1.3% of total)

Bogosity

explain93.0ms (7.8%)

Memory

-0.4MiB live, 197.5MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))`	o/n	38	0
↳	`(/.f64 x y)`	overflow	28
↳	`(*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64)))`	overflow	66
↳	`(+.f64 (/.f64 x y) #s(literal 1 binary64))`	overflow	28

Confusion

	Predicted +	Predicted -
+	38	0
-	0	218

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	38	0	0
-	0	0	218

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	218
1	38

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

32.0ms

512×

valid

Compiler

Compiled 111 to 36 computations (67.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-div: 7.0ms (41.6% of total)

ival-add: 5.0ms (29.7% of total)

ival-mult: 3.0ms (17.8% of total)

ival-true: 1.0ms (5.9% of total)

exact: 0.0ms (0% of total)

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

preprocess3.0ms (0.2%)

Memory

6.1MiB live, 6.1MiB allocated

Algorithm

1×	egg-herbie

Calls

Call 1

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

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	86.1%	(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Calls

Call 1

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

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

localize24.0ms (2%)

Memory

-25.4MiB live, 52.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 (/.f64 x y) #s(literal 1 binary64))
accuracy	0.0	(+.f64 x #s(literal 1 binary64))
accuracy	0.07421875	(*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64)))
accuracy	8.859124087050034	(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))

Samples

17.0ms

256×

valid

Compiler

Compiled 66 to 18 computations (72.7% saved)

Precisions

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

ival-div: 4.0ms (48.2% of total)

ival-add: 2.0ms (24.1% of total)

ival-mult: 2.0ms (24.1% of total)

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.6%)

Memory

15.0MiB live, 15.0MiB allocated

Counts

5 → 26

Calls

Call 1

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

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

Calls

6 calls:

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

simplify0.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

1×	egg-herbie

Counts

26 → 5

Calls

Call 1

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

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

rewrite0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Counts

5 → 5

Calls

Call 1

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

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

eval1.0ms (0.1%)

Memory: 2.4MiB live, 2.4MiB allocated
Compiler: Compiled 144 to 20 computations (86.1% saved)

prune2.0ms (0.1%)

Memory

3.8MiB live, 3.8MiB allocated

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	6	4	10
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	6	5	11

Accuracy

99.9%

Counts

11 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	86.1%	(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
▶	15.4%	(/.f64 #s(approx (* x (+ (/ x y) 1)) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
▶	39.3%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y))
▶	50.9%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 (/.f64 x y) #s(literal 1 binary64)))
▶	54.7%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))))

Compiler

Compiled 77 to 53 computations (31.2% saved)

simplify1.0ms (0.1%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

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

Calls

Call 1

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

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

localize32.0ms (2.7%)

Memory

-30.9MiB live, 56.9MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 x #s(literal 1 binary64))
accuracy	8.859124087050034	(/.f64 #s(approx (* x (+ (/ x y) 1)) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
accuracy	54.002441493567126	#s(approx (* x (+ (/ x y) 1)) (+.f64 x #s(literal 1 binary64)))
accuracy	0.0	(/.f64 x y)
accuracy	38.82962406186414	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y))
accuracy	0.0	(/.f64 x y)
accuracy	0.0	(+.f64 (/.f64 x y) #s(literal 1 binary64))
accuracy	31.41967664270803	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 (/.f64 x y) #s(literal 1 binary64)))
accuracy	0.0	(/.f64 x y)
accuracy	0.0	(+.f64 (/.f64 x y) #s(literal 1 binary64))
accuracy	0.07421875	(*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64)))
accuracy	28.92618493992535	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))))

Samples

21.0ms

256×

valid

Compiler

Compiled 208 to 28 computations (86.5% saved)

Precisions

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

ival-div: 4.0ms (48.5% of total)

ival-add: 2.0ms (24.2% of total)

ival-mult: 2.0ms (24.2% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0.3%)

Memory

7.7MiB live, 7.7MiB allocated

Counts

9 → 26

Calls

Call 1

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

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

Calls

6 calls:

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

simplify1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	egg-herbie

Counts

26 → 9

Calls

Call 1

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

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

rewrite1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Counts

9 → 9

Calls

Call 1

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

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

eval2.0ms (0.2%)

Memory: 5.5MiB live, 5.5MiB allocated
Compiler: Compiled 546 to 39 computations (92.9% saved)

prune4.0ms (0.3%)

Memory

6.8MiB live, 6.8MiB allocated

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	20	4	24
Fresh	0	0	0
Picked	1	3	4
Done	0	1	1
Total	21	8	29

Accuracy

99.9%

Counts

29 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	86.1%	(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
✓	39.3%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y))
✓	50.9%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 (/.f64 x y) #s(literal 1 binary64)))
▶	4.1%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 #s(approx (/ x y) #s(approx (* x (+ (/ x y) 1)) (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)))
✓	54.7%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))))
▶	13.2%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (.f64 x (+.f64 #s(approx (/ x y) #s(approx ( x (+ (/ x y) 1)) (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))))
▶	19.5%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (.f64 x #s(approx (+ (/ x y) 1) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)))))
▶	4.1%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (/ x y) #s(approx (* x (+ (/ x y) 1)) (+.f64 x #s(literal 1 binary64)))))

Compiler

Compiled 184 to 98 computations (46.7% saved)

simplify1.0ms (0.1%)

Memory

2.6MiB live, 2.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Calls

Call 1

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

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

localize34.0ms (2.9%)

Memory

6.0MiB live, 43.7MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 x #s(literal 1 binary64))
accuracy	31.41967664270803	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 #s(approx (/ x y) #s(approx (* x (+ (/ x y) 1)) (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)))
accuracy	54.002441493567126	#s(approx (* x (+ (/ x y) 1)) (+.f64 x #s(literal 1 binary64)))
accuracy	58.397932242368135	#s(approx (/ x y) #s(approx (* x (+ (/ x y) 1)) (+.f64 x #s(literal 1 binary64))))
accuracy	0.07421875	(.f64 x (+.f64 #s(approx (/ x y) #s(approx ( x (+ (/ x y) 1)) (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)))
accuracy	28.92618493992535	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (.f64 x (+.f64 #s(approx (/ x y) #s(approx ( x (+ (/ x y) 1)) (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))))
accuracy	54.002441493567126	#s(approx (* x (+ (/ x y) 1)) (+.f64 x #s(literal 1 binary64)))
accuracy	58.397932242368135	#s(approx (/ x y) #s(approx (* x (+ (/ x y) 1)) (+.f64 x #s(literal 1 binary64))))
accuracy	0.07421875	(.f64 x #s(approx (+ (/ x y) 1) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y))))
accuracy	28.92618493992535	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (.f64 x #s(approx (+ (/ x y) 1) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)))))
accuracy	31.41967664270803	#s(approx (+ (/ x y) 1) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)))
accuracy	38.82962406186414	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y))
accuracy	0.0	(+.f64 x #s(literal 1 binary64))
accuracy	38.82962406186414	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (/ x y) #s(approx (* x (+ (/ x y) 1)) (+.f64 x #s(literal 1 binary64)))))
accuracy	54.002441493567126	#s(approx (* x (+ (/ x y) 1)) (+.f64 x #s(literal 1 binary64)))
accuracy	58.397932242368135	#s(approx (/ x y) #s(approx (* x (+ (/ x y) 1)) (+.f64 x #s(literal 1 binary64))))

Samples

20.0ms

256×

valid

Compiler

Compiled 468 to 32 computations (93.2% saved)

Precisions

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

ival-div: 4.0ms (47.8% of total)

ival-add: 2.0ms (23.9% of total)

ival-mult: 2.0ms (23.9% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0.4%)

Memory

6.7MiB live, 6.7MiB allocated

Counts

12 → 26

Calls

Call 1

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

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

Calls

6 calls:

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

simplify1.0ms (0.1%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	egg-herbie

Counts

26 → 12

Calls

Call 1

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

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

rewrite8.0ms (0.6%)

Memory

-34.2MiB live, 1.4MiB allocated

Counts

12 → 12

Calls

Call 1

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

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

eval4.0ms (0.3%)

Memory: 6.6MiB live, 6.6MiB allocated
Compiler: Compiled 1 342 to 58 computations (95.7% saved)

prune8.0ms (0.6%)

Memory

12.0MiB live, 12.0MiB allocated

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	36	0	36
Fresh	0	0	0
Picked	0	4	4
Done	0	4	4
Total	36	8	44

Accuracy

99.9%

Counts

44 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	86.1%	(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
✓	39.3%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y))
✓	50.9%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 (/.f64 x y) #s(literal 1 binary64)))
✓	4.1%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 #s(approx (/ x y) #s(approx (* x (+ (/ x y) 1)) (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)))
✓	54.7%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))))
✓	13.2%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (.f64 x (+.f64 #s(approx (/ x y) #s(approx ( x (+ (/ x y) 1)) (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))))
✓	19.5%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (.f64 x #s(approx (+ (/ x y) 1) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)))))
✓	4.1%	#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (/ x y) #s(approx (* x (+ (/ x y) 1)) (+.f64 x #s(literal 1 binary64)))))

Compiler

Compiled 383 to 126 computations (67.1% saved)

regimes11.0ms (0.9%)

Memory

15.5MiB live, 15.5MiB allocated

Counts

9 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
99.9%	3	`x`
86.1%	1	`y`
99.9%	3	`(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))`

Compiler

Compiled 13 to 12 computations (7.7% saved)

regimes12.0ms (1%)

Memory

-31.5MiB live, 10.5MiB allocated

Counts

8 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

9.0ms	(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
3.0ms	x

Results

Accuracy	Segments	Branch
91.6%	3	`(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))`
97.1%	3	`x`

Compiler

Compiled 12 to 10 computations (16.7% saved)

regimes9.0ms (0.7%)

Memory

13.7MiB live, 13.7MiB allocated

Counts

7 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
50.9%	1	`y`
56.6%	3	`(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))`
61.9%	3	`x`

Compiler

Compiled 13 to 12 computations (7.7% saved)

regimes5.0ms (0.4%)

Memory

7.9MiB live, 7.9MiB allocated

Counts

5 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

2.0ms	x
2.0ms	(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
56.5%	3	`(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))`
56.5%	3	`x`

Compiler

Compiled 12 to 10 computations (16.7% saved)

regimes6.0ms (0.5%)

Memory

10.7MiB live, 10.7MiB allocated

Counts

4 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

2.0ms	y
2.0ms	x
2.0ms	(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
39.3%	1	`y`
44.6%	3	`x`
44.8%	3	`(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))`

Compiler

Compiled 13 to 12 computations (7.7% saved)

regimes10.0ms (0.9%)

Memory

-26.3MiB live, 10.8MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

3 calls:

6.0ms	(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
13.2%	1	`y`
13.2%	1	`x`
13.2%	1	`(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))`

Compiler

Compiled 13 to 12 computations (7.7% saved)

regimes4.0ms (0.4%)

Memory

11.7MiB live, 11.7MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
4.1%	1	`y`
4.1%	1	`(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))`
4.1%	1	`x`

Compiler

Compiled 13 to 12 computations (7.7% saved)

regimes4.0ms (0.3%)

Memory

10.3MiB live, 10.3MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
4.1%	1	`(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))`
4.1%	1	`x`
4.1%	1	`y`

Compiler

Compiled 13 to 12 computations (7.7% saved)

bsearch22.0ms (1.8%)

Memory

2.0MiB live, 40.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough

Steps

Time	Left	Right
3.0ms	77916409183.05405	1168285191788026600.0
17.0ms	-5.747050141055072e+50	-6.12556256237338e+37

Samples

12.0ms

192×

valid

Compiler

Compiled 350 to 277 computations (20.9% saved)

Precisions

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

ival-div: 5.0ms (59.7% of total)

ival-add: 2.0ms (23.9% of total)

ival-mult: 1.0ms (11.9% of total)

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

exact: 0.0ms (0% of total)

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

bsearch34.0ms (2.8%)

Memory

-31.8MiB live, 51.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	4.7129521494001596e-5	20.550525976563943
14.0ms	-73.7962399134147	-0.1964201493703474

Samples

17.0ms

272×

valid

Compiler

Compiled 626 to 472 computations (24.6% saved)

Precisions

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

ival-div: 4.0ms (35.8% of total)

ival-mult: 4.0ms (35.8% of total)

ival-add: 2.0ms (17.9% of total)

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

exact: 0.0ms (0% of total)

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

bsearch11.0ms (0.9%)

Memory

13.8MiB live, 13.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	7.066056254468594e-6	4.7129521494001596e-5
1.0ms	-73.7962399134147	-0.1964201493703474

Samples

5.0ms

96×

valid

Compiler

Compiled 742 to 391 computations (47.3% saved)

Precisions

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

ival-div: 1.0ms (33.1% of total)

ival-add: 1.0ms (33.1% of total)

ival-mult: 1.0ms (33.1% of total)

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	4.712730040688411e-5	0.9535974202630835
0.0ms	-5551614798561.05	-0.00027476662628083304

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0000000074538453	1.0000005774769667
0.0ms	-5551614798561.05	-0.00027476662628083304

Compiler

Compiled 14 to 13 computations (7.1% saved)

simplify5.0ms (0.4%)

Memory

9.5MiB live, 9.5MiB allocated

Algorithm

1×	egg-herbie

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal -62000000000000003515523232727172120576 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 (/.f64 x y) #s(literal 1 binary64))) (if (<=.f64 x #s(literal 500000000000000 binary64)) (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (+.f64 (/.f64 x y) #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal -1 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 (/.f64 x y) #s(literal 1 binary64))) (if (<=.f64 x #s(literal 1 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64)))) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (+.f64 (/.f64 x y) #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal -1 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 (/.f64 x y) #s(literal 1 binary64))) (if (<=.f64 x #s(literal 6788401819125115/147573952589676412928 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (.f64 x #s(approx (+ (/ x y) 1) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y))))) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 (/.f64 x y) #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -5000000000000 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (+.f64 (/.f64 x y) #s(literal 1 binary64))) (if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 7378697629483821/147573952589676412928 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (.f64 x (+.f64 #s(approx (/ x y) #s(approx ( x (+ (/ x y) 1)) (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)))) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 (/.f64 x y) #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -5000000000000 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) (if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 2251800939585155/2251799813685248 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (.f64 x (+.f64 #s(approx (/ x y) #s(approx ( x (+ (/ x y) 1)) (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)))) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y))))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (.f64 x (+.f64 #s(approx (/ x y) #s(approx ( x (+ (/ x y) 1)) (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 #s(approx (/ x y) #s(approx (* x (+ (/ x y) 1)) (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (/ x y) #s(approx (* x (+ (/ x y) 1)) (+.f64 x #s(literal 1 binary64)))))

Outputs
(if (<=.f64 x #s(literal -62000000000000003515523232727172120576 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 (/.f64 x y) #s(literal 1 binary64))) (if (<=.f64 x #s(literal 500000000000000 binary64)) (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (+.f64 (/.f64 x y) #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal -1 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 (/.f64 x y) #s(literal 1 binary64))) (if (<=.f64 x #s(literal 1 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64)))) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (+.f64 (/.f64 x y) #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal -1 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 (/.f64 x y) #s(literal 1 binary64))) (if (<=.f64 x #s(literal 6788401819125115/147573952589676412928 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (.f64 x #s(approx (+ (/ x y) 1) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y))))) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 (/.f64 x y) #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -5000000000000 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (+.f64 (/.f64 x y) #s(literal 1 binary64))) (if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 7378697629483821/147573952589676412928 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (.f64 x (+.f64 #s(approx (/ x y) #s(approx ( x (+ (/ x y) 1)) (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)))) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 (/.f64 x y) #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -5000000000000 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y)) (if (<=.f64 (/.f64 (.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 2251800939585155/2251799813685248 binary64)) #s(approx (/ ( x (+ (/ x y) 1)) (+ x 1)) (.f64 x (+.f64 #s(approx (/ x y) #s(approx ( x (+ (/ x y) 1)) (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)))) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x y))))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (.f64 x (+.f64 #s(approx (/ x y) #s(approx ( x (+ (/ x y) 1)) (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (+.f64 #s(approx (/ x y) #s(approx (* x (+ (/ x y) 1)) (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (/ x y) #s(approx (* x (+ (/ x y) 1)) (+.f64 x #s(literal 1 binary64)))))

soundness2.0ms (0.2%)

Memory

3.9MiB live, 3.9MiB allocated

Stop Event

1×

done

Compiler

Compiled 460 to 52 computations (88.7% saved)

preprocess49.0ms (4.2%)

Memory: -2.4MiB live, 72.9MiB allocated
Compiler: Compiled 968 to 138 computations (85.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze24.0ms (2%)

sample743.0ms (62.7%)

explain93.0ms (7.8%)

preprocess3.0ms (0.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify0.0ms (0%)

localize24.0ms (2%)

series7.0ms (0.6%)

simplify0.0ms (0%)

rewrite0.0ms (0%)

eval1.0ms (0.1%)

prune2.0ms (0.1%)

simplify1.0ms (0.1%)

localize32.0ms (2.7%)

series4.0ms (0.3%)

simplify1.0ms (0%)

rewrite1.0ms (0%)

eval2.0ms (0.2%)

prune4.0ms (0.3%)

simplify1.0ms (0.1%)

localize34.0ms (2.9%)

series4.0ms (0.4%)

simplify1.0ms (0.1%)

rewrite8.0ms (0.6%)

eval4.0ms (0.3%)

prune8.0ms (0.6%)

regimes11.0ms (0.9%)

regimes12.0ms (1%)

regimes9.0ms (0.7%)

regimes5.0ms (0.4%)

regimes6.0ms (0.5%)

regimes10.0ms (0.9%)

regimes4.0ms (0.4%)

regimes4.0ms (0.3%)

bsearch22.0ms (1.8%)

bsearch34.0ms (2.8%)

bsearch11.0ms (0.9%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify5.0ms (0.4%)

soundness2.0ms (0.2%)

preprocess49.0ms (4.2%)

end0.0ms (0%)

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