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

start0.0ms (0%)

Memory: 0.0MiB 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)

sample1.0s (72.6%)

Memory

-23.7MiB live, 1 459.3MiB allocated

Samples

770.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 554.0ms

ival-cos: 187.0ms (33.8% of total)

ival-sin: 180.0ms (32.5% of total)

ival-mult: 131.0ms (23.6% of total)

ival-sub: 46.0ms (8.3% of total)

ival-true: 6.0ms (1.1% of total)

ival-assert: 3.0ms (0.5% of total)

Bogosity

explain114.0ms (8%)

Memory

-1.2MiB live, 204.6MiB 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

56.0ms

512×

valid

Compiler

Compiled 85 to 36 computations (57.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-cos: 11.0ms (32.6% of total)

ival-sin: 11.0ms (32.6% of total)

ival-mult: 9.0ms (26.7% of total)

ival-sub: 2.0ms (5.9% of total)

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

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

preprocess3.0ms (0.2%)

Memory

8.1MiB live, 8.1MiB 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

0.9MiB live, 0.9MiB 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

1.0MiB live, 1.0MiB 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)

localize35.0ms (2.5%)

Memory

-5.8MiB live, 71.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(sin.f64 y)
accuracy	0.0	(cos.f64 y)
accuracy	0.078125	(*.f64 x (cos.f64 y))
accuracy	0.09375	(*.f64 z (sin.f64 y))

Samples

24.0ms

256×

valid

Compiler

Compiled 50 to 18 computations (64% saved)

Precisions

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

ival-cos: 6.0ms (37.5% of total)

ival-sin: 5.0ms (31.2% of total)

ival-mult: 3.0ms (18.7% of total)

ival-sub: 1.0ms (6.2% of total)

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

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

series11.0ms (0.8%)

Memory

-19.4MiB live, 19.3MiB allocated

Counts

5 → 30

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))
(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)))))))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(cos y)
(* z (sin y))
(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
3.0ms	z	@	-inf	((- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)) (sin y))
1.0ms	x	@	0	((- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)) (sin y))
1.0ms	x	@	inf	((- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)) (sin y))
1.0ms	y	@	inf	((- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)) (sin y))
1.0ms	y	@	0	((- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y)) (sin y))

simplify1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	egg-herbie

Counts

30 → 5

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)))))))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(cos y)
(* z (sin y))
(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))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(sin.f64 y)

rewrite0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Counts

5 → 5

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))
(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))
(sin.f64 y)

eval1.0ms (0.1%)

Memory: 3.2MiB live, 3.2MiB allocated
Compiler: Compiled 116 to 19 computations (83.6% saved)

prune2.0ms (0.1%)

Memory

4.5MiB live, 4.5MiB allocated

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	7	3	10
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	7	4	11

Accuracy

99.8%

Counts

11 → 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)))
▶	29.1%	(-.f64 #s(approx (* x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y)))
▶	60.9%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
▶	3.3%	#s(approx (- (* x (cos y)) (* z (sin y))) (sin.f64 y))

Compiler

Compiled 47 to 39 computations (17% saved)

simplify0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 9 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)))
cost-diff	0	(sin.f64 y)
cost-diff	0	#s(approx (- (* x (cos y)) (* z (sin y))) (sin.f64 y))

Calls

Call 1

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

localize37.0ms (2.6%)

Memory

4.3MiB live, 86.6MiB allocated

Localize:

Found 9 expressions of interest:

New	Metric	Score
accuracy	0.0	(sin.f64 y)
accuracy	0.0	(cos.f64 y)
accuracy	0.09375	(*.f64 z (sin.f64 y))
accuracy	61.88591478242597	#s(approx (* x (cos y)) (cos.f64 y))
accuracy	0.0	(cos.f64 y)
accuracy	0.078125	(*.f64 x (cos.f64 y))
accuracy	24.96758689434299	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
accuracy	0.0	(sin.f64 y)
accuracy	61.88330804475591	#s(approx (- (* x (cos y)) (* z (sin y))) (sin.f64 y))

Samples

30.0ms

256×

valid

Compiler

Compiled 120 to 26 computations (78.3% saved)

Precisions

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

ival-cos: 6.0ms (37.6% of total)

ival-sin: 5.0ms (31.4% of total)

ival-mult: 3.0ms (18.8% of total)

ival-sub: 1.0ms (6.3% of total)

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

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

series6.0ms (0.4%)

Memory

20.0MiB live, 20.0MiB allocated

Counts

8 → 30

Calls

Call 1

Inputs
#s(approx (- (* x (cos y)) (* z (sin y))) (sin.f64 y))
(sin.f64 y)
#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)))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(+ 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)))))))
(sin y)
(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
1.0ms	z	@	-inf	((- (* x (cos y)) (* z (sin y))) (sin y) (- (* 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))) (sin y) (- (* 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))) (sin y) (- (* 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))) (sin y) (- (* 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))) (sin y) (- (* 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

1.3MiB live, 1.3MiB allocated

Algorithm

1×	egg-herbie

Counts

30 → 8

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)))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(+ 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)))))))
(sin y)
(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))) (sin.f64 y))
(- (* x (cos y)) (* z (sin y)))
(sin.f64 y)
(* x (cos y))
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x))))
(*.f64 x (cos.f64 y))
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x))))
(cos.f64 y)
x
(-.f64 #s(approx (* x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+ x (* -1 (* y z)))
#s(approx (* x (cos y)) (cos.f64 y))
(+ x (* y (- (* -1/2 (* x y)) z)))
(*.f64 z (sin.f64 y))

rewrite3.0ms (0.2%)

Memory

-37.9MiB live, 0.9MiB allocated

Counts

8 → 8

Calls

Call 1

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

eval2.0ms (0.1%)

Memory: 6.7MiB live, 6.7MiB allocated
Compiler: Compiled 242 to 23 computations (90.5% saved)

prune3.0ms (0.2%)

Memory

8.3MiB live, 8.3MiB allocated

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	15	1	16
Fresh	0	0	0
Picked	0	3	3
Done	0	1	1
Total	15	5	20

Accuracy

99.8%

Counts

20 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
✓	29.1%	(-.f64 #s(approx (* x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y)))
✓	60.9%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
✓	3.3%	#s(approx (- (* x (cos y)) (* z (sin y))) (sin.f64 y))
▶	3.3%	#s(approx (- (* x (cos y)) (* z (sin y))) (cos.f64 y))

Compiler

Compiled 59 to 49 computations (16.9% saved)

simplify0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Calls

Call 1

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

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

localize29.0ms (2.1%)

Memory

23.7MiB live, 62.4MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(cos.f64 y)
accuracy	61.89852350734485	#s(approx (- (* x (cos y)) (* z (sin y))) (cos.f64 y))

Samples

24.0ms

256×

valid

Compiler

Compiled 29 to 20 computations (31% saved)

Precisions

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

ival-cos: 7.0ms (40.2% of total)

ival-sin: 5.0ms (28.7% of total)

ival-mult: 3.0ms (17.2% of total)

ival-sub: 1.0ms (5.7% of total)

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

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

series7.0ms (0.5%)

Memory

-33.3MiB live, 8.8MiB allocated

Counts

2 → 17

Calls

Call 1

Inputs
#s(approx (- (* x (cos y)) (* z (sin 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)))
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
4.0ms	x	@	0	((- (* x (cos y)) (* z (sin y))) (cos y))
1.0ms	x	@	-inf	((- (* x (cos y)) (* z (sin y))) (cos y))
0.0ms	z	@	-inf	((- (* x (cos y)) (* z (sin y))) (cos y))
0.0ms	x	@	inf	((- (* x (cos y)) (* z (sin y))) (cos y))
0.0ms	z	@	0	((- (* x (cos y)) (* z (sin y))) (cos y))

simplify0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	egg-herbie

Counts

17 → 2

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

rewrite0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Counts

2 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

Memory: 1.0MiB live, 1.0MiB allocated
Compiler: Compiled 46 to 11 computations (76.1% saved)

prune3.0ms (0.2%)

Memory

5.0MiB live, 5.0MiB allocated

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	3	0	3
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	3	5	8

Accuracy

99.8%

Counts

8 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
✓	29.1%	(-.f64 #s(approx (* x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y)))
✓	60.9%	#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y)))
✓	3.3%	#s(approx (- (* x (cos y)) (* z (sin y))) (sin.f64 y))
✓	3.3%	#s(approx (- (* x (cos y)) (* z (sin y))) (cos.f64 y))

Compiler

Compiled 118 to 67 computations (43.2% saved)

regimes10.0ms (0.7%)

Memory

18.9MiB live, 18.9MiB allocated

Counts

5 → 1

Calls

Call 1

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

2.0ms	(-.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)

regimes11.0ms (0.8%)

Memory

-22.3MiB live, 15.6MiB allocated

Counts

4 → 3

Calls

Call 1

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

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:

5.0ms	z
2.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
67.3%	3	`x`
60.9%	1	`y`
77.0%	3	`z`
60.9%	1	`(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes6.0ms (0.4%)

Memory

10.4MiB live, 10.4MiB allocated

Counts

3 → 1

Calls

Call 1

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

2.0ms	z
2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
60.9%	1	`y`
60.9%	1	`x`
60.9%	1	`z`

Compiler

Compiled 3 to 9 computations (-200% saved)

regimes6.0ms (0.4%)

Memory

12.1MiB live, 12.1MiB allocated

Counts

2 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
3.3%	1	`(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`
3.3%	1	`x`
3.3%	1	`y`
3.3%	1	`z`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes9.0ms (0.6%)

Memory

-25.8MiB live, 11.2MiB 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))) (cos.f64 y))

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

Calls

4 calls:

5.0ms	x
1.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
1.0ms	y
1.0ms	z

Results

Accuracy	Segments	Branch
3.3%	1	`x`
3.3%	1	`y`
3.3%	1	`(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))`
3.3%	1	`z`

Compiler

Compiled 12 to 17 computations (-41.7% saved)

bsearch46.0ms (3.2%)

Memory

11.7MiB live, 46.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
25.0ms	2.0310347761381705e+130	2.1241409879521533e+136
18.0ms	-6.73982372096826e+62	-5.970631682606739e+54

Samples

32.0ms

288×

valid

Compiler

Compiled 480 to 428 computations (10.8% saved)

Precisions

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

ival-sin: 13.0ms (52.8% of total)

ival-cos: 6.0ms (24.4% of total)

ival-mult: 4.0ms (16.3% of total)

ival-sub: 1.0ms (4.1% of total)

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

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

simplify5.0ms (0.3%)

Memory

8.8MiB live, 8.8MiB 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 -41000000000000000065744086238974595132938399625792517570560 binary64)) (-.f64 #s(approx (* x (cos y)) (cos.f64 y)) (.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 20999999999999999965028940235164724686534946250206638371984893838732838856770765977204788699706215423418712336232092200451290668466176 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))) (sin.f64 y))
#s(approx (- (* x (cos y)) (* z (sin y))) (cos.f64 y))

Outputs
(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
(if (<=.f64 z #s(literal -41000000000000000065744086238974595132938399625792517570560 binary64)) (-.f64 #s(approx (* x (cos y)) (cos.f64 y)) (.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 20999999999999999965028940235164724686534946250206638371984893838732838856770765977204788699706215423418712336232092200451290668466176 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))) (sin.f64 y))
#s(approx (- (* x (cos y)) (* z (sin y))) (cos.f64 y))

soundness1.0ms (0.1%)

Memory

1.9MiB live, 1.9MiB allocated

Stop Event

1×

done

Compiler

Compiled 93 to 24 computations (74.2% saved)

preprocess35.0ms (2.4%)

Memory: 2.7MiB live, 45.8MiB allocated
Compiler: Compiled 204 to 64 computations (68.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.0s (72.6%)

explain114.0ms (8%)

preprocess3.0ms (0.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify0.0ms (0%)

localize35.0ms (2.5%)

series11.0ms (0.8%)

simplify1.0ms (0%)

rewrite0.0ms (0%)

eval1.0ms (0.1%)

prune2.0ms (0.1%)

simplify0.0ms (0%)

localize37.0ms (2.6%)

series6.0ms (0.4%)

simplify0.0ms (0%)

rewrite3.0ms (0.2%)

eval2.0ms (0.1%)

prune3.0ms (0.2%)

simplify0.0ms (0%)

localize29.0ms (2.1%)

series7.0ms (0.5%)

simplify0.0ms (0%)

rewrite0.0ms (0%)

eval1.0ms (0%)

prune3.0ms (0.2%)

regimes10.0ms (0.7%)

regimes11.0ms (0.8%)

regimes6.0ms (0.4%)

regimes6.0ms (0.4%)

regimes9.0ms (0.6%)

bsearch46.0ms (3.2%)

simplify5.0ms (0.3%)

soundness1.0ms (0.1%)

preprocess35.0ms (2.4%)

end0.0ms (0%)

Profiling