Metrics for Diagrams.ThreeD.Transform:aboutX from diagrams-lib-1.3.0.3, A

start0.0ms (0%)

Memory: 0.1MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB 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 10 computations (9.1% saved)

sample983.0ms (73.9%)

Memory

-9.9MiB live, 1 304.9MiB allocated

Samples

723.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 519.0ms

ival-cos: 184.0ms (35.5% of total)

ival-sin: 178.0ms (34.3% of total)

ival-mult: 108.0ms (20.8% of total)

ival-sub: 40.0ms (7.7% of total)

ival-true: 6.0ms (1.2% of total)

ival-assert: 3.0ms (0.6% of total)

Bogosity

explain99.0ms (7.4%)

Memory

16.8MiB live, 176.0MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`
-	-	`(sin.f64 y)`
-	-	`y`
-	-	`(*.f64 x (cos.f64 y))`
-	-	`z`
-	-	`(cos.f64 y)`
-	-	`x`
-	-	`(*.f64 z (sin.f64 y))`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

53.0ms

512×

valid

Compiler

Compiled 85 to 36 computations (57.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-cos: 11.0ms (31.9% of total)

ival-sin: 11.0ms (31.9% of total)

ival-mult: 10.0ms (29% of total)

ival-sub: 2.0ms (5.8% of total)

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

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

preprocess3.0ms (0.2%)

Memory

8.5MiB live, 8.5MiB allocated

Algorithm

1×	egg-herbie

Calls

Call 1

Inputs
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))

Outputs
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))

Compiler

Compiled 9 to 8 computations (11.1% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))

Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 z (sin.f64 y))
cost-diff	0	(cos.f64 y)
cost-diff	0	(*.f64 x (cos.f64 y))
cost-diff	0	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))

Calls

Call 1

Inputs
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(*.f64 x (cos.f64 y))
x
(cos.f64 y)
y
(*.f64 z (sin.f64 y))
z
(sin.f64 y)

Outputs
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(*.f64 x (cos.f64 y))
x
(cos.f64 y)
y
(*.f64 z (sin.f64 y))
z
(sin.f64 y)

localize32.0ms (2.4%)

Memory

-6.0MiB live, 70.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(cos.f64 y)
accuracy	0.01171875	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
accuracy	0.08203125	(*.f64 x (cos.f64 y))
accuracy	0.1328125	(*.f64 z (sin.f64 y))

Samples

25.0ms

256×

valid

Compiler

Compiled 50 to 18 computations (64% saved)

Precisions

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

ival-cos: 6.0ms (38.9% of total)

ival-sin: 5.0ms (32.4% of total)

ival-mult: 3.0ms (19.5% of total)

ival-sub: 1.0ms (6.5% of total)

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

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

series10.0ms (0.8%)

Memory

-23.1MiB live, 15.8MiB allocated

Counts

4 → 25

Calls

Call 1

Inputs
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(*.f64 x (cos.f64 y))
(cos.f64 y)
(*.f64 z (sin.f64 y))

Outputs
(* -1 (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(* x (cos y))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
x
(+ x (* -1 (* y z)))
(+ x (* y (- (* -1/2 (* x y)) z)))
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))
(+ x (* -1/2 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(* y z)
(* y (+ z (* -1/6 (* (pow y 2) z))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))
(cos y)
(* z (sin y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	z	@	0	((- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)))
1.0ms	x	@	0	((- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)))
1.0ms	x	@	inf	((- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)))
1.0ms	y	@	inf	((- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)))
1.0ms	z	@	-inf	((- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)))

simplify0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	egg-herbie

Counts

25 → 4

Calls

Call 1

Inputs
(* -1 (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(* x (cos y))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
x
(+ x (* -1 (* y z)))
(+ x (* y (- (* -1/2 (* x y)) z)))
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))
(+ x (* -1/2 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(* y z)
(* y (+ z (* -1/6 (* (pow y 2) z))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))
(cos y)
(* z (sin y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))

Outputs
(* -1 (* z (sin y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(*.f64 x (cos.f64 y))
(* x (cos y))
(cos.f64 y)
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(*.f64 z (sin.f64 y))

rewrite0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Counts

4 → 4

Calls

Call 1

Inputs
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(*.f64 x (cos.f64 y))
(cos.f64 y)
(*.f64 z (sin.f64 y))

Outputs
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(*.f64 x (cos.f64 y))
(cos.f64 y)
(*.f64 z (sin.f64 y))

eval1.0ms (0.1%)

Memory: 1.9MiB live, 1.9MiB allocated
Compiler: Compiled 95 to 18 computations (81.1% saved)

prune1.0ms (0.1%)

Memory

2.8MiB live, 2.8MiB 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

99.8%

Counts

9 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
▶	30.3%	(-.f64 #s(approx (* x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y)))
▶	60.2%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))

Compiler

Compiled 35 to 29 computations (17.1% 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 (sin.f64 y))
cost-diff	0	(cos.f64 y)
cost-diff	0	#s(approx (* x (cos y)) (cos.f64 y))
cost-diff	0	(-.f64 #s(approx (* x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y)))
cost-diff	0	(cos.f64 y)
cost-diff	0	(*.f64 x (cos.f64 y))
cost-diff	0	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))

Calls

Call 1

Inputs
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
(*.f64 x (cos.f64 y))
x
(cos.f64 y)
y
(-.f64 #s(approx (* x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y)))
#s(approx (* x (cos y)) (cos.f64 y))
(cos.f64 y)
y
(*.f64 z (sin.f64 y))
z
(sin.f64 y)

Outputs
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
(*.f64 x (cos.f64 y))
x
(cos.f64 y)
y
(-.f64 #s(approx (* x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y)))
#s(approx (* x (cos y)) (cos.f64 y))
(cos.f64 y)
y
(*.f64 z (sin.f64 y))
z
(sin.f64 y)

localize34.0ms (2.5%)

Memory

24.2MiB live, 66.8MiB allocated

Localize:

Found 7 expressions of interest:

New	Metric	Score
accuracy	0.0	(cos.f64 y)
accuracy	0.01171875	(-.f64 #s(approx (* x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y)))
accuracy	0.1328125	(*.f64 z (sin.f64 y))
accuracy	61.66419198392416	#s(approx (* x (cos y)) (cos.f64 y))
accuracy	0.0	(cos.f64 y)
accuracy	0.08203125	(*.f64 x (cos.f64 y))
accuracy	25.445816261266103	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))

Samples

24.0ms

256×

valid

Compiler

Compiled 93 to 25 computations (73.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-cos: 6.0ms (38.6% of total)

ival-sin: 5.0ms (32.1% of total)

ival-mult: 3.0ms (19.3% of total)

ival-sub: 1.0ms (6.4% of total)

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

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

series7.0ms (0.5%)

Memory

-22.4MiB live, 16.6MiB allocated

Counts

6 → 25

Calls

Call 1

Inputs
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
(*.f64 x (cos.f64 y))
(cos.f64 y)
(-.f64 #s(approx (* x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y)))
#s(approx (* x (cos y)) (cos.f64 y))
(*.f64 z (sin.f64 y))

Outputs
(* -1 (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(* x (cos y))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
x
(+ x (* -1 (* y z)))
(+ x (* y (- (* -1/2 (* x y)) z)))
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))
(+ x (* -1/2 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(* y z)
(* y (+ z (* -1/6 (* (pow y 2) z))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))
(cos y)
(* z (sin y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	((- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (- (* x (cos y)) (* z (sin y))) (* x (cos y)) (* z (sin y)))
1.0ms	x	@	0	((- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (- (* x (cos y)) (* z (sin y))) (* x (cos y)) (* z (sin y)))
1.0ms	x	@	-inf	((- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (- (* x (cos y)) (* z (sin y))) (* x (cos y)) (* z (sin y)))
1.0ms	z	@	-inf	((- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (- (* x (cos y)) (* z (sin y))) (* x (cos y)) (* z (sin y)))
1.0ms	z	@	0	((- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (- (* x (cos y)) (* z (sin y))) (* x (cos y)) (* z (sin y)))

simplify0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	egg-herbie

Counts

25 → 6

Calls

Call 1

Inputs
(* -1 (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(* x (cos y))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
x
(+ x (* -1 (* y z)))
(+ x (* y (- (* -1/2 (* x y)) z)))
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))
(+ x (* -1/2 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(* y z)
(* y (+ z (* -1/6 (* (pow y 2) z))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))
(cos y)
(* z (sin y))
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))

Outputs
(* -1 (* z (sin y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
(- (* x (cos y)) (* z (sin y)))
(*.f64 x (cos.f64 y))
(* x (cos y))
(cos.f64 y)
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(-.f64 #s(approx (* x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y)))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
#s(approx (* x (cos y)) (cos.f64 y))
x
(*.f64 z (sin.f64 y))

rewrite0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Counts

6 → 6

Calls

Call 1

Inputs
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
(*.f64 x (cos.f64 y))
(cos.f64 y)
(-.f64 #s(approx (* x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y)))
#s(approx (* x (cos y)) (cos.f64 y))
(*.f64 z (sin.f64 y))

Outputs
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
(*.f64 x (cos.f64 y))
(cos.f64 y)
(-.f64 #s(approx (* x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y)))
#s(approx (* x (cos y)) (cos.f64 y))
(*.f64 z (sin.f64 y))

eval1.0ms (0.1%)

Memory: 4.0MiB live, 4.0MiB allocated
Compiler: Compiled 172 to 19 computations (89% saved)

prune2.0ms (0.2%)

Memory

6.8MiB live, 6.8MiB allocated

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	10	1	11
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	10	4	14

Accuracy

99.8%

Counts

14 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
✓	30.3%	(-.f64 #s(approx (* x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y)))
✓	60.2%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
▶	3.6%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (cos.f64 y)))

Compiler

Compiled 52 to 40 computations (23.1% saved)

simplify0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(cos.f64 y)
cost-diff	0	#s(approx (* x (cos y)) (cos.f64 y))
cost-diff	0	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (cos.f64 y)))

Calls

Call 1

Inputs
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (cos.f64 y)))
#s(approx (* x (cos y)) (cos.f64 y))
(cos.f64 y)
y

Outputs
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (cos.f64 y)))
#s(approx (* x (cos y)) (cos.f64 y))
(cos.f64 y)
y

localize30.0ms (2.2%)

Memory

-10.8MiB live, 66.7MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(cos.f64 y)
accuracy	25.445816261266103	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (cos.f64 y)))
accuracy	61.66419198392416	#s(approx (* x (cos y)) (cos.f64 y))

Samples

25.0ms

256×

valid

Compiler

Compiled 45 to 21 computations (53.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-cos: 6.0ms (32.9% of total)

ival-mult: 6.0ms (32.9% of total)

ival-sin: 5.0ms (27.4% of total)

ival-sub: 1.0ms (5.5% of total)

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

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

series5.0ms (0.3%)

Memory

11.1MiB live, 11.1MiB allocated

Counts

3 → 20

Calls

Call 1

Inputs
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (cos.f64 y)))
#s(approx (* x (cos y)) (cos.f64 y))
(cos.f64 y)

Outputs
(* -1 (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(* x (cos y))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
x
(+ x (* -1 (* y z)))
(+ x (* y (- (* -1/2 (* x y)) z)))
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))
(+ x (* -1/2 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(cos y)
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	((- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y))
1.0ms	x	@	0	((- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y))
1.0ms	x	@	inf	((- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y))
0.0ms	z	@	-inf	((- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y))
0.0ms	z	@	inf	((- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y))

simplify0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	egg-herbie

Counts

20 → 3

Calls

Call 1

Inputs
(* -1 (* z (sin y)))
(- (* x (cos y)) (* z (sin y)))
(* x (cos y))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
x
(+ x (* -1 (* y z)))
(+ x (* y (- (* -1/2 (* x y)) z)))
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z)))
(+ x (* -1/2 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x))))))
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(cos y)
(+ (* -1 (* z (sin y))) (* x (cos y)))
(* z (- (/ (* x (cos y)) z) (sin y)))
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y)))))

Outputs
(* -1 (* z (sin y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (cos.f64 y)))
(- (* x (cos y)) (* z (sin y)))
#s(approx (* x (cos y)) (cos.f64 y))
(* x (cos y))
(cos.f64 y)

rewrite0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (cos.f64 y)))
#s(approx (* x (cos y)) (cos.f64 y))
(cos.f64 y)

Outputs
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (cos.f64 y)))
#s(approx (* x (cos y)) (cos.f64 y))
(cos.f64 y)

eval1.0ms (0%)

Memory: 1.3MiB live, 1.3MiB allocated
Compiler: Compiled 78 to 12 computations (84.6% saved)

prune3.0ms (0.2%)

Memory

6.8MiB live, 6.8MiB 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

99.8%

Counts

8 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
✓	30.3%	(-.f64 #s(approx (* x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y)))
✓	60.2%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
✓	3.6%	#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (cos.f64 y)))

Compiler

Compiled 104 to 57 computations (45.2% saved)

regimes10.0ms (0.8%)

Memory

-20.1MiB live, 22.4MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (cos.f64 y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
(-.f64 #s(approx (* x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))

Outputs
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))

Calls

4 calls:

4.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
2.0ms	x
2.0ms	z
2.0ms	y

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`y`
99.8%	1	`z`
99.8%	1	`(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes9.0ms (0.7%)

Memory

-16.2MiB live, 23.4MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs

#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (cos.f64 y)))

#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))

(-.f64 #s(approx (* x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y)))

Outputs
(-.f64 #s(approx (* x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
(-.f64 #s(approx (* x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y)))

Calls

4 calls:

3.0ms	x
2.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
2.0ms	z
2.0ms	y

Results

Accuracy	Segments	Branch
69.3%	3	`x`
68.4%	4	`y`
74.9%	3	`z`
60.2%	1	`(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes5.0ms (0.3%)

Memory

13.8MiB live, 13.8MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (cos.f64 y)))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))

Outputs
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))

Calls

3 calls:

1.0ms	y
1.0ms	x
1.0ms	z

Results

Accuracy	Segments	Branch
60.2%	1	`y`
60.2%	1	`x`
60.2%	1	`z`

Compiler

Compiled 3 to 9 computations (-200% saved)

regimes5.0ms (0.4%)

Memory

17.2MiB live, 17.2MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (cos.f64 y)))

Outputs
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (cos.f64 y)))

Calls

4 calls:

1.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
1.0ms	x
1.0ms	y
1.0ms	z

Results

Accuracy	Segments	Branch
3.6%	1	`x`
3.6%	1	`z`
3.6%	1	`(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`
3.6%	1	`y`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

bsearch51.0ms (3.8%)

Memory

-28.5MiB live, 116.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
24.0ms	2.0538095317138835e+117	5.375868613830305e+126
24.0ms	-1.1344477884418045e+91	-1.4358177769049733e+71

Samples

28.0ms

320×

valid

Compiler

Compiled 532 to 474 computations (10.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-cos: 7.0ms (36.5% of total)

ival-sin: 6.0ms (31.3% of total)

ival-mult: 4.0ms (20.9% of total)

ival-sub: 1.0ms (5.2% of total)

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

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

simplify6.0ms (0.4%)

Memory

-26.1MiB live, 13.3MiB allocated

Algorithm

1×	egg-herbie

Calls

Call 1

Inputs
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(if (<=.f64 z #s(literal -31000000000000003246602026867727346687574095639038044626445096577466996334119616512 binary64)) (-.f64 #s(approx (* x (cos y)) (cos.f64 y)) (.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 60000000000000000233644735837446765656891371137624849089172016940022047213638748144714163651102551429048160204693176320 binary64)) #s(approx (- ( x (cos y)) (* z (sin y))) (.f64 x (cos.f64 y))) (-.f64 #s(approx ( x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (cos.f64 y)))

Outputs
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(if (<=.f64 z #s(literal -31000000000000003246602026867727346687574095639038044626445096577466996334119616512 binary64)) (-.f64 #s(approx (* x (cos y)) (cos.f64 y)) (.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 60000000000000000233644735837446765656891371137624849089172016940022047213638748144714163651102551429048160204693176320 binary64)) #s(approx (- ( x (cos y)) (* z (sin y))) (.f64 x (cos.f64 y))) (-.f64 #s(approx ( x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y)))))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* x (cos y)) (cos.f64 y)))

soundness1.0ms (0.1%)

Memory

2.9MiB live, 2.9MiB allocated

Stop Event

1×

done

Compiler

Compiled 86 to 23 computations (73.3% saved)

preprocess27.0ms (2%)

Memory: 31.2MiB live, 70.5MiB allocated
Compiler: Compiled 190 to 62 computations (67.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample983.0ms (73.9%)

explain99.0ms (7.4%)

preprocess3.0ms (0.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify0.0ms (0%)

localize32.0ms (2.4%)

series10.0ms (0.8%)

simplify0.0ms (0%)

rewrite0.0ms (0%)

eval1.0ms (0.1%)

prune1.0ms (0.1%)

simplify0.0ms (0%)

localize34.0ms (2.5%)

series7.0ms (0.5%)

simplify0.0ms (0%)

rewrite0.0ms (0%)

eval1.0ms (0.1%)

prune2.0ms (0.2%)

simplify0.0ms (0%)

localize30.0ms (2.2%)

series5.0ms (0.3%)

simplify0.0ms (0%)

rewrite0.0ms (0%)

eval1.0ms (0%)

prune3.0ms (0.2%)

regimes10.0ms (0.8%)

regimes9.0ms (0.7%)

regimes5.0ms (0.3%)

regimes5.0ms (0.4%)

bsearch51.0ms (3.8%)

simplify6.0ms (0.4%)

soundness1.0ms (0.1%)

preprocess27.0ms (2%)

end0.0ms (0%)

Profiling