Metrics for Diagrams.Solve.Polynomial:quartForm from diagrams-solve-0.1, D

start0.0ms (0%)

Memory: 0.1MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 11 to 11 computations (0% saved)

sample729.0ms (71.5%)

Memory

-17.6MiB live, 1 116.3MiB allocated

Samples

485.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 265.0ms

ival-div: 121.0ms (45.7% of total)

ival-mult: 85.0ms (32.1% of total)

ival-sub: 40.0ms (15.1% of total)

exact: 9.0ms (3.4% of total)

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

ival-assert: 4.0ms (1.5% of total)

Bogosity

explain78.0ms (7.6%)

Memory

32.1MiB live, 152.1MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`#s(literal 8 binary64)`
-	-	`(/.f64 (*.f64 x y) #s(literal 2 binary64))`
-	-	`z`
-	-	`(*.f64 x y)`
-	-	`(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))`
-	-	`(/.f64 z #s(literal 8 binary64))`
-	-	`#s(literal 2 binary64)`
-	-	`y`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

31.0ms

512×

valid

Compiler

Compiled 88 to 40 computations (54.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-div: 7.0ms (50.3% of total)

ival-mult: 4.0ms (28.8% of total)

ival-sub: 2.0ms (14.4% of total)

exact: 1.0ms (7.2% of total)

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

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

preprocess4.0ms (0.4%)

Memory

-30.6MiB live, 8.2MiB allocated

Algorithm

1×	egg-herbie

Calls

Call 1

Inputs
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))

Outputs
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))

Compiler

Compiled 9 to 9 computations (0% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))

Compiler

Compiled 9 to 9 computations (0% saved)

simplify0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(/.f64 z #s(literal 8 binary64))
cost-diff	0	(*.f64 x y)
cost-diff	0	(/.f64 (*.f64 x y) #s(literal 2 binary64))
cost-diff	0	(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))

Calls

Call 1

Inputs
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(/.f64 (*.f64 x y) #s(literal 2 binary64))
(*.f64 x y)
x
y
#s(literal 2 binary64)
(/.f64 z #s(literal 8 binary64))
z
#s(literal 8 binary64)

Outputs
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(/.f64 (*.f64 x y) #s(literal 2 binary64))
(*.f64 x y)
x
y
#s(literal 2 binary64)
(/.f64 z #s(literal 8 binary64))
z
#s(literal 8 binary64)

localize21.0ms (2.1%)

Memory

0.6MiB live, 39.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(/.f64 (*.f64 x y) #s(literal 2 binary64))
accuracy	0.0	(/.f64 z #s(literal 8 binary64))
accuracy	0.0	(*.f64 x y)
accuracy	0.00390625	(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))

Samples

15.0ms

256×

valid

Compiler

Compiled 52 to 20 computations (61.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-div: 3.0ms (43.8% of total)

ival-mult: 2.0ms (29.2% of total)

ival-sub: 1.0ms (14.6% of total)

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.7%)

Memory

9.8MiB live, 9.8MiB allocated

Counts

4 → 12

Calls

Call 1

Inputs
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(/.f64 (*.f64 x y) #s(literal 2 binary64))
(*.f64 x y)
(/.f64 z #s(literal 8 binary64))

Outputs
(* -1/8 z)
(- (* 1/2 (* x y)) (* 1/8 z))
(* 1/2 (* x y))
(* x y)
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(+ (* -1/8 z) (* 1/2 (* x y)))
(* 1/8 z)
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	z	@	0	((- (/ (* x y) 2) (/ z 8)) (/ (* x y) 2) (* x y) (/ z 8))
1.0ms	x	@	-inf	((- (/ (* x y) 2) (/ z 8)) (/ (* x y) 2) (* x y) (/ z 8))
1.0ms	x	@	0	((- (/ (* x y) 2) (/ z 8)) (/ (* x y) 2) (* x y) (/ z 8))
1.0ms	z	@	inf	((- (/ (* x y) 2) (/ z 8)) (/ (* x y) 2) (* x y) (/ z 8))
1.0ms	y	@	-inf	((- (/ (* x y) 2) (/ z 8)) (/ (* x y) 2) (* x y) (/ z 8))

simplify0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	egg-herbie

Counts

12 → 4

Calls

Call 1

Inputs
(* -1/8 z)
(- (* 1/2 (* x y)) (* 1/8 z))
(* 1/2 (* x y))
(* x y)
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(+ (* -1/8 z) (* 1/2 (* x y)))
(* 1/8 z)
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))

Outputs
(* -1/8 z)
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(- (* 1/2 (* x y)) (* 1/8 z))
(/.f64 (*.f64 x y) #s(literal 2 binary64))
(* 1/2 (* x y))
(*.f64 x y)
(* x y)
(/.f64 z #s(literal 8 binary64))

rewrite0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Counts

4 → 4

Calls

Call 1

Inputs
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(/.f64 (*.f64 x y) #s(literal 2 binary64))
(*.f64 x y)
(/.f64 z #s(literal 8 binary64))

Outputs
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(/.f64 (*.f64 x y) #s(literal 2 binary64))
(*.f64 x y)
(/.f64 z #s(literal 8 binary64))

eval1.0ms (0.1%)

Memory: 1.6MiB live, 1.6MiB allocated
Compiler: Compiled 96 to 22 computations (77.1% saved)

prune1.0ms (0.1%)

Memory

2.1MiB live, 2.1MiB allocated

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	6	2	8
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	6	3	9

Accuracy

100.0%

Counts

9 → 3

Alt Table

Click to see full alt table

Status

Accuracy

Program

✓

100.0%

(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))

▶

64.6%

(-.f64 #s(approx (/ (* x y) 2) (*.f64 x y)) (/.f64 z #s(literal 8 binary64)))

▶

53.9%

#s(approx (- (/ (* x y) 2) (/ z 8)) (/.f64 (*.f64 x y) #s(literal 2 binary64)))

Compiler

Compiled 37 to 33 computations (10.8% saved)

simplify0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(/.f64 z #s(literal 8 binary64))
cost-diff	0	(*.f64 x y)
cost-diff	0	#s(approx (/ (* x y) 2) (*.f64 x y))
cost-diff	0	(-.f64 #s(approx (/ (* x y) 2) (*.f64 x y)) (/.f64 z #s(literal 8 binary64)))
cost-diff	0	(*.f64 x y)
cost-diff	0	(/.f64 (*.f64 x y) #s(literal 2 binary64))
cost-diff	0	#s(approx (- (/ (* x y) 2) (/ z 8)) (/.f64 (*.f64 x y) #s(literal 2 binary64)))

Calls

Call 1

Inputs
#s(approx (- (/ (* x y) 2) (/ z 8)) (/.f64 (*.f64 x y) #s(literal 2 binary64)))
(/.f64 (*.f64 x y) #s(literal 2 binary64))
(*.f64 x y)
x
y
#s(literal 2 binary64)
(-.f64 #s(approx (/ (* x y) 2) (*.f64 x y)) (/.f64 z #s(literal 8 binary64)))
#s(approx (/ (* x y) 2) (*.f64 x y))
(*.f64 x y)
x
y
(/.f64 z #s(literal 8 binary64))
z
#s(literal 8 binary64)

Outputs
#s(approx (- (/ (* x y) 2) (/ z 8)) (/.f64 (*.f64 x y) #s(literal 2 binary64)))
(/.f64 (*.f64 x y) #s(literal 2 binary64))
(*.f64 x y)
x
y
#s(literal 2 binary64)
(-.f64 #s(approx (/ (* x y) 2) (*.f64 x y)) (/.f64 z #s(literal 8 binary64)))
#s(approx (/ (* x y) 2) (*.f64 x y))
(*.f64 x y)
x
y
(/.f64 z #s(literal 8 binary64))
z
#s(literal 8 binary64)

localize25.0ms (2.5%)

Memory

0.7MiB live, 38.4MiB allocated

Localize:

Found 7 expressions of interest:

New	Metric	Score
accuracy	0.0	(/.f64 z #s(literal 8 binary64))
accuracy	0.0	(*.f64 x y)
accuracy	0.00390625	(-.f64 #s(approx (/ (* x y) 2) (*.f64 x y)) (/.f64 z #s(literal 8 binary64)))
accuracy	40.00635559465814	#s(approx (/ (* x y) 2) (*.f64 x y))
accuracy	0.0	(/.f64 (*.f64 x y) #s(literal 2 binary64))
accuracy	0.0	(*.f64 x y)
accuracy	29.508246072752506	#s(approx (- (/ (* x y) 2) (/ z 8)) (/.f64 (*.f64 x y) #s(literal 2 binary64)))

Samples

18.0ms

256×

valid

Compiler

Compiled 104 to 28 computations (73.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-div: 3.0ms (43.6% of total)

ival-mult: 2.0ms (29% of total)

ival-sub: 1.0ms (14.5% 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

8.7MiB live, 8.7MiB allocated

Counts

6 → 12

Calls

Call 1

Inputs
#s(approx (- (/ (* x y) 2) (/ z 8)) (/.f64 (*.f64 x y) #s(literal 2 binary64)))
(/.f64 (*.f64 x y) #s(literal 2 binary64))
(*.f64 x y)
(-.f64 #s(approx (/ (* x y) 2) (*.f64 x y)) (/.f64 z #s(literal 8 binary64)))
#s(approx (/ (* x y) 2) (*.f64 x y))
(/.f64 z #s(literal 8 binary64))

Outputs
(* -1/8 z)
(- (* 1/2 (* x y)) (* 1/8 z))
(* 1/2 (* x y))
(* x y)
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(+ (* -1/8 z) (* 1/2 (* x y)))
(* 1/8 z)
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	((- (/ (* x y) 2) (/ z 8)) (/ (* x y) 2) (* x y) (- (/ (* x y) 2) (/ z 8)) (/ (* x y) 2) (/ z 8))
1.0ms	y	@	-inf	((- (/ (* x y) 2) (/ z 8)) (/ (* x y) 2) (* x y) (- (/ (* x y) 2) (/ z 8)) (/ (* x y) 2) (/ z 8))
0.0ms	z	@	-inf	((- (/ (* x y) 2) (/ z 8)) (/ (* x y) 2) (* x y) (- (/ (* x y) 2) (/ z 8)) (/ (* x y) 2) (/ z 8))
0.0ms	z	@	inf	((- (/ (* x y) 2) (/ z 8)) (/ (* x y) 2) (* x y) (- (/ (* x y) 2) (/ z 8)) (/ (* x y) 2) (/ z 8))
0.0ms	x	@	inf	((- (/ (* x y) 2) (/ z 8)) (/ (* x y) 2) (* x y) (- (/ (* x y) 2) (/ z 8)) (/ (* x y) 2) (/ z 8))

simplify0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	egg-herbie

Counts

12 → 6

Calls

Call 1

Inputs
(* -1/8 z)
(- (* 1/2 (* x y)) (* 1/8 z))
(* 1/2 (* x y))
(* x y)
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(+ (* -1/8 z) (* 1/2 (* x y)))
(* 1/8 z)
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))

Outputs
(* -1/8 z)
#s(approx (- (/ (* x y) 2) (/ z 8)) (/.f64 (*.f64 x y) #s(literal 2 binary64)))
(- (* 1/2 (* x y)) (* 1/8 z))
(/.f64 (*.f64 x y) #s(literal 2 binary64))
(* 1/2 (* x y))
(*.f64 x y)
(* x y)
(-.f64 #s(approx (/ (* x y) 2) (*.f64 x y)) (/.f64 z #s(literal 8 binary64)))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
#s(approx (/ (* x y) 2) (*.f64 x y))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(/.f64 z #s(literal 8 binary64))

rewrite0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Counts

6 → 6

Calls

Call 1

Inputs
#s(approx (- (/ (* x y) 2) (/ z 8)) (/.f64 (*.f64 x y) #s(literal 2 binary64)))
(/.f64 (*.f64 x y) #s(literal 2 binary64))
(*.f64 x y)
(-.f64 #s(approx (/ (* x y) 2) (*.f64 x y)) (/.f64 z #s(literal 8 binary64)))
#s(approx (/ (* x y) 2) (*.f64 x y))
(/.f64 z #s(literal 8 binary64))

Outputs
#s(approx (- (/ (* x y) 2) (/ z 8)) (/.f64 (*.f64 x y) #s(literal 2 binary64)))
(/.f64 (*.f64 x y) #s(literal 2 binary64))
(*.f64 x y)
(-.f64 #s(approx (/ (* x y) 2) (*.f64 x y)) (/.f64 z #s(literal 8 binary64)))
#s(approx (/ (* x y) 2) (*.f64 x y))
(/.f64 z #s(literal 8 binary64))

eval1.0ms (0.1%)

Memory: 2.7MiB live, 2.7MiB allocated
Compiler: Compiled 216 to 25 computations (88.4% saved)

prune2.0ms (0.2%)

Memory

4.4MiB live, 4.4MiB allocated

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	11	1	12
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	11	4	15

Accuracy

100.0%

Counts

15 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
✓	64.6%	(-.f64 #s(approx (/ (* x y) 2) (*.f64 x y)) (/.f64 z #s(literal 8 binary64)))
✓	53.9%	#s(approx (- (/ (* x y) 2) (/ z 8)) (/.f64 (*.f64 x y) #s(literal 2 binary64)))
▶	20.5%	#s(approx (- (/ (* x y) 2) (/ z 8)) #s(approx (/ (* x y) 2) (*.f64 x y)))

Compiler

Compiled 56 to 45 computations (19.6% saved)

simplify0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 x y)
cost-diff	0	#s(approx (/ (* x y) 2) (*.f64 x y))
cost-diff	0	#s(approx (- (/ (* x y) 2) (/ z 8)) #s(approx (/ (* x y) 2) (*.f64 x y)))

Calls

Call 1

Inputs
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(approx (/ (* x y) 2) (*.f64 x y)))
#s(approx (/ (* x y) 2) (*.f64 x y))
(*.f64 x y)
x
y

Outputs
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(approx (/ (* x y) 2) (*.f64 x y)))
#s(approx (/ (* x y) 2) (*.f64 x y))
(*.f64 x y)
x
y

localize22.0ms (2.1%)

Memory

-6.7MiB live, 34.1MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x y)
accuracy	29.508246072752506	#s(approx (- (/ (* x y) 2) (/ z 8)) #s(approx (/ (* x y) 2) (*.f64 x y)))
accuracy	40.00635559465814	#s(approx (/ (* x y) 2) (*.f64 x y))

Samples

16.0ms

256×

valid

Compiler

Compiled 54 to 23 computations (57.4% saved)

Precisions

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

ival-sub: 4.0ms (42.2% of total)

ival-div: 3.0ms (31.7% of total)

ival-mult: 2.0ms (21.1% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0.3%)

Memory

7.2MiB live, 7.2MiB allocated

Counts

3 → 11

Calls

Call 1

Inputs
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(approx (/ (* x y) 2) (*.f64 x y)))
#s(approx (/ (* x y) 2) (*.f64 x y))
(*.f64 x y)

Outputs
(* -1/8 z)
(- (* 1/2 (* x y)) (* 1/8 z))
(* 1/2 (* x y))
(* x y)
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(+ (* -1/8 z) (* 1/2 (* x y)))
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	((- (/ (* x y) 2) (/ z 8)) (/ (* x y) 2) (* x y))
0.0ms	y	@	-inf	((- (/ (* x y) 2) (/ z 8)) (/ (* x y) 2) (* x y))
0.0ms	x	@	0	((- (/ (* x y) 2) (/ z 8)) (/ (* x y) 2) (* x y))
0.0ms	x	@	inf	((- (/ (* x y) 2) (/ z 8)) (/ (* x y) 2) (* x y))
0.0ms	y	@	inf	((- (/ (* x y) 2) (/ z 8)) (/ (* x y) 2) (* x y))

simplify0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	egg-herbie

Counts

11 → 3

Calls

Call 1

Inputs
(* -1/8 z)
(- (* 1/2 (* x y)) (* 1/8 z))
(* 1/2 (* x y))
(* x y)
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(+ (* -1/8 z) (* 1/2 (* x y)))
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))

Outputs
(* -1/8 z)
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(approx (/ (* x y) 2) (*.f64 x y)))
(- (* 1/2 (* x y)) (* 1/8 z))
#s(approx (/ (* x y) 2) (*.f64 x y))
(* 1/2 (* x y))
(*.f64 x y)

rewrite0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(approx (/ (* x y) 2) (*.f64 x y)))
#s(approx (/ (* x y) 2) (*.f64 x y))
(*.f64 x y)

Outputs
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(approx (/ (* x y) 2) (*.f64 x y)))
#s(approx (/ (* x y) 2) (*.f64 x y))
(*.f64 x y)

eval3.0ms (0.3%)

Memory: -36.6MiB live, 1.1MiB allocated
Compiler: Compiled 86 to 13 computations (84.9% saved)

prune3.0ms (0.3%)

Memory

5.9MiB live, 5.9MiB allocated

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	4	0	4
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	4	4	8

Accuracy

100.0%

Counts

8 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
✓	64.6%	(-.f64 #s(approx (/ (* x y) 2) (*.f64 x y)) (/.f64 z #s(literal 8 binary64)))
✓	53.9%	#s(approx (- (/ (* x y) 2) (/ z 8)) (/.f64 (*.f64 x y) #s(literal 2 binary64)))
✓	20.5%	#s(approx (- (/ (* x y) 2) (/ z 8)) #s(approx (/ (* x y) 2) (*.f64 x y)))

Compiler

Compiled 112 to 64 computations (42.9% saved)

regimes17.0ms (1.6%)

Memory

-3.1MiB live, 34.7MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(approx (/ (* x y) 2) (*.f64 x y)))
#s(approx (- (/ (* x y) 2) (/ z 8)) (/.f64 (*.f64 x y) #s(literal 2 binary64)))
(-.f64 #s(approx (/ (* x y) 2) (*.f64 x y)) (/.f64 z #s(literal 8 binary64)))
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))

Outputs
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))

Calls

7 calls:

4.0ms	x
2.0ms	z
2.0ms	(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
2.0ms	(/.f64 z #s(literal 8 binary64))
2.0ms	y

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`
100.0%	1	`(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))`
100.0%	1	`(/.f64 (*.f64 x y) #s(literal 2 binary64))`
100.0%	1	`(*.f64 x y)`
100.0%	1	`(/.f64 z #s(literal 8 binary64))`

Compiler

Compiled 23 to 33 computations (-43.5% saved)

regimes13.0ms (1.2%)

Memory

28.7MiB live, 28.7MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs

#s(approx (- (/ (* x y) 2) (/ z 8)) #s(approx (/ (* x y) 2) (*.f64 x y)))

#s(approx (- (/ (* x y) 2) (/ z 8)) (/.f64 (*.f64 x y) #s(literal 2 binary64)))

(-.f64 #s(approx (/ (* x y) 2) (*.f64 x y)) (/.f64 z #s(literal 8 binary64)))

Outputs

#s(approx (- (/ (* x y) 2) (/ z 8)) (/.f64 (*.f64 x y) #s(literal 2 binary64)))

(-.f64 #s(approx (/ (* x y) 2) (*.f64 x y)) (/.f64 z #s(literal 8 binary64)))

#s(approx (- (/ (* x y) 2) (/ z 8)) (/.f64 (*.f64 x y) #s(literal 2 binary64)))

Calls

7 calls:

2.0ms	(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
2.0ms	(/.f64 z #s(literal 8 binary64))
2.0ms	y
2.0ms	x
2.0ms	(/.f64 (*.f64 x y) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
78.2%	3	`x`
73.9%	3	`y`
80.4%	3	`z`
66.4%	2	`(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))`
83.3%	3	`(/.f64 (*.f64 x y) #s(literal 2 binary64))`
83.3%	3	`(*.f64 x y)`
80.4%	3	`(/.f64 z #s(literal 8 binary64))`

Compiler

Compiled 23 to 33 computations (-43.5% saved)

regimes11.0ms (1.1%)

Memory

-12.3MiB live, 26.5MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(approx (/ (* x y) 2) (*.f64 x y)))
#s(approx (- (/ (* x y) 2) (/ z 8)) (/.f64 (*.f64 x y) #s(literal 2 binary64)))

Outputs
#s(approx (- (/ (* x y) 2) (/ z 8)) (/.f64 (*.f64 x y) #s(literal 2 binary64)))

Calls

7 calls:

1.0ms	x
1.0ms	(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
1.0ms	(/.f64 z #s(literal 8 binary64))
1.0ms	y
1.0ms	z

Results

Accuracy	Segments	Branch
53.9%	1	`(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))`
53.9%	1	`y`
53.9%	1	`x`
53.9%	1	`z`
53.9%	1	`(/.f64 z #s(literal 8 binary64))`
53.9%	1	`(/.f64 (*.f64 x y) #s(literal 2 binary64))`
53.9%	1	`(*.f64 x y)`

Compiler

Compiled 23 to 33 computations (-43.5% saved)

regimes8.0ms (0.8%)

Memory

21.9MiB live, 21.9MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(approx (/ (* x y) 2) (*.f64 x y)))

Outputs
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(approx (/ (* x y) 2) (*.f64 x y)))

Calls

7 calls:

1.0ms	(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
1.0ms	(/.f64 z #s(literal 8 binary64))
1.0ms	y
1.0ms	(/.f64 (*.f64 x y) #s(literal 2 binary64))
1.0ms	z

Results

Accuracy	Segments	Branch
20.5%	1	`(/.f64 (*.f64 x y) #s(literal 2 binary64))`
20.5%	1	`(*.f64 x y)`
20.5%	1	`z`
20.5%	1	`(/.f64 z #s(literal 8 binary64))`
20.5%	1	`x`
20.5%	1	`(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))`
20.5%	1	`y`

Compiler

Compiled 23 to 33 computations (-43.5% saved)

bsearch32.0ms (3.2%)

Memory

-36.7MiB live, 46.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	3.012123076288364e+66	1.1970569479655456e+76
17.0ms	-2.1029462587458457e-54	-9.001316759714246e-65

Samples

13.0ms

304×

valid

Compiler

Compiled 468 to 471 computations (-0.6% saved)

Precisions

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

ival-div: 4.0ms (68.6% of total)

ival-sub: 2.0ms (34.3% of total)

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

exact: 0.0ms (0% of total)

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

simplify5.0ms (0.4%)

Memory

11.1MiB live, 11.1MiB allocated

Algorithm

1×	egg-herbie

Calls

Call 1

Inputs
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(if (<=.f64 (.f64 x y) #s(literal -1811708416032523/862718293348820473429344482784628181556388621521298319395315527974912 binary64)) #s(approx (- (/ ( x y) 2) (/ z 8)) (/.f64 (.f64 x y) #s(literal 2 binary64))) (if (<=.f64 (.f64 x y) #s(literal 12500000000000000523519069552643224487392923333004228539292846397587456 binary64)) (-.f64 #s(approx (/ (* x y) 2) (.f64 x y)) (/.f64 z #s(literal 8 binary64))) #s(approx (- (/ ( x y) 2) (/ z 8)) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
#s(approx (- (/ (* x y) 2) (/ z 8)) (/.f64 (*.f64 x y) #s(literal 2 binary64)))
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(approx (/ (* x y) 2) (*.f64 x y)))

Outputs
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(if (<=.f64 (.f64 x y) #s(literal -1811708416032523/862718293348820473429344482784628181556388621521298319395315527974912 binary64)) #s(approx (- (/ ( x y) 2) (/ z 8)) (/.f64 (.f64 x y) #s(literal 2 binary64))) (if (<=.f64 (.f64 x y) #s(literal 12500000000000000523519069552643224487392923333004228539292846397587456 binary64)) (-.f64 #s(approx (/ (* x y) 2) (.f64 x y)) (/.f64 z #s(literal 8 binary64))) #s(approx (- (/ ( x y) 2) (/ z 8)) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
#s(approx (- (/ (* x y) 2) (/ z 8)) (/.f64 (*.f64 x y) #s(literal 2 binary64)))
#s(approx (- (/ (* x y) 2) (/ z 8)) #s(approx (/ (* x y) 2) (*.f64 x y)))

soundness1.0ms (0.1%)

Memory

2.3MiB live, 2.3MiB allocated

Stop Event

1×

done

Compiler

Compiled 98 to 25 computations (74.5% saved)

preprocess25.0ms (2.5%)

Memory: 12.3MiB live, 50.8MiB allocated
Compiler: Compiled 214 to 68 computations (68.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample729.0ms (71.5%)

explain78.0ms (7.6%)

preprocess4.0ms (0.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify0.0ms (0%)

localize21.0ms (2.1%)

series7.0ms (0.7%)

simplify0.0ms (0%)

rewrite0.0ms (0%)

eval1.0ms (0.1%)

prune1.0ms (0.1%)

simplify0.0ms (0%)

localize25.0ms (2.5%)

series4.0ms (0.4%)

simplify0.0ms (0%)

rewrite0.0ms (0%)

eval1.0ms (0.1%)

prune2.0ms (0.2%)

simplify0.0ms (0%)

localize22.0ms (2.1%)

series3.0ms (0.3%)

simplify0.0ms (0%)

rewrite0.0ms (0%)

eval3.0ms (0.3%)

prune3.0ms (0.3%)

regimes17.0ms (1.6%)

regimes13.0ms (1.2%)

regimes11.0ms (1.1%)

regimes8.0ms (0.8%)

bsearch32.0ms (3.2%)

simplify5.0ms (0.4%)

soundness1.0ms (0.1%)

preprocess25.0ms (2.5%)

end0.0ms (0%)

Profiling