Metrics for Linear.Quaternion:$csin from linear-1.19.1.3

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze14.0ms (1.3%)

Memory

20.3MiB live, 20.3MiB 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
50%	50%	50%	0.1%	0%	0%	0%	3
50%	50%	50%	0.1%	0%	0%	0%	4
75%	74.9%	25%	0.1%	0%	0%	0%	5
75%	74.9%	25%	0.1%	0%	0%	0%	6
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	7
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	8
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	9
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	10
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	11
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	12

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample836.0ms (80%)

Memory

-9.0MiB live, 1 213.5MiB allocated

Samples

600.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 384.0ms

ival-cos: 216.0ms (56.3% of total)

ival-div: 57.0ms (14.9% of total)

ival-sinh: 56.0ms (14.6% of total)

ival-mult: 47.0ms (12.2% of total)

ival-true: 5.0ms (1.3% of total)

ival-assert: 3.0ms (0.8% of total)

Bogosity

explain72.0ms (6.9%)

Memory

28.2MiB live, 104.0MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(sinh.f64 y)`
-	-	`(/.f64 (sinh.f64 y) y)`
-	-	`y`
-	-	`(cos.f64 x)`
-	-	`(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) 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

33.0ms

512×

valid

Compiler

Compiled 62 to 28 computations (54.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-cos: 11.0ms (53% of total)

ival-div: 4.0ms (19.3% of total)

ival-mult: 3.0ms (14.5% of total)

ival-sinh: 3.0ms (14.5% of total)

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

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

preprocess3.0ms (0.2%)

Memory

4.5MiB live, 4.5MiB allocated

Algorithm

1×	egg-herbie

Calls

Call 1

Inputs
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))

Outputs
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Calls

Call 1

Inputs
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(cos.f64 x)
x
(/.f64 (sinh.f64 y) y)
(sinh.f64 y)
y

Outputs
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(cos.f64 x)
x
(/.f64 (sinh.f64 y) y)
(sinh.f64 y)
y

localize27.0ms (2.6%)

Memory

-15.1MiB live, 29.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(/.f64 (sinh.f64 y) y)
accuracy	0.0	(sinh.f64 y)
accuracy	0.0	(cos.f64 x)
accuracy	0.00390625	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))

Samples

17.0ms

256×

valid

Compiler

Compiled 36 to 14 computations (61.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-cos: 5.0ms (49.2% of total)

ival-div: 2.0ms (19.7% of total)

ival-mult: 2.0ms (19.7% of total)

ival-sinh: 1.0ms (9.8% of total)

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

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

series11.0ms (1.1%)

Memory

14.6MiB live, 14.6MiB allocated

Counts

4 → 21

Calls

Call 1

Inputs
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(cos.f64 x)
(/.f64 (sinh.f64 y) y)
(sinh.f64 y)

Outputs
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(+ (* -1/4 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))
(+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/48 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)))))
(+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/1440 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/48 (/ (- (exp y) (/ 1 (exp y))) y)))))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(cos x)
(+ (cos x) (* 1/6 (* (pow y 2) (cos x))))
(+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x)))))
(+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x)))))))
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))
y
(* y (+ 1 (* 1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))
(* 1/2 (- (exp y) (/ 1 (exp y))))

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	y	@	-inf	((* (cos x) (/ (sinh y) y)) (cos x) (/ (sinh y) y) (sinh y))
2.0ms	y	@	inf	((* (cos x) (/ (sinh y) y)) (cos x) (/ (sinh y) y) (sinh y))
1.0ms	y	@	0	((* (cos x) (/ (sinh y) y)) (cos x) (/ (sinh y) y) (sinh y))
1.0ms	x	@	inf	((* (cos x) (/ (sinh y) y)) (cos x) (/ (sinh y) y) (sinh y))
1.0ms	x	@	0	((* (cos x) (/ (sinh y) y)) (cos x) (/ (sinh y) y) (sinh y))

simplify0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	egg-herbie

Counts

21 → 4

Calls

Call 1

Inputs
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(+ (* -1/4 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))
(+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/48 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)))))
(+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/1440 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/48 (/ (- (exp y) (/ 1 (exp y))) y)))))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(cos x)
(+ (cos x) (* 1/6 (* (pow y 2) (cos x))))
(+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x)))))
(+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x)))))))
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))
y
(* y (+ 1 (* 1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))
(* 1/2 (- (exp y) (/ 1 (exp y))))

Outputs
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(+ (* -1/4 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))
(cos.f64 x)
(+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/48 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)))))
(/.f64 (sinh.f64 y) y)
(+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/1440 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/48 (/ (- (exp y) (/ 1 (exp y))) y)))))))
(sinh.f64 y)

rewrite0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Counts

4 → 4

Calls

Call 1

Inputs
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(cos.f64 x)
(/.f64 (sinh.f64 y) y)
(sinh.f64 y)

Outputs
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(cos.f64 x)
(/.f64 (sinh.f64 y) y)
(sinh.f64 y)

eval1.0ms (0.1%)

Memory: 1.5MiB live, 1.5MiB allocated
Compiler: Compiled 75 to 14 computations (81.3% saved)

prune5.0ms (0.5%)

Memory

-35.0MiB live, 2.2MiB allocated

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	5	3	8
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	5	4	9

Accuracy

100.0%

Counts

9 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
▶	66.5%	#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 (sinh.f64 y) y))
▶	28.6%	#s(approx (* (cos x) (/ (sinh y) y)) (sinh.f64 y))
▶	49.1%	#s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x))

Compiler

Compiled 39 to 31 computations (20.5% saved)

simplify0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

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

Calls

Call 1

Inputs
#s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x))
(cos.f64 x)
x
#s(approx (* (cos x) (/ (sinh y) y)) (sinh.f64 y))
(sinh.f64 y)
y
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 (sinh.f64 y) y))
(/.f64 (sinh.f64 y) y)
(sinh.f64 y)
y

Outputs
#s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x))
(cos.f64 x)
x
#s(approx (* (cos x) (/ (sinh y) y)) (sinh.f64 y))
(sinh.f64 y)
y
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 (sinh.f64 y) y))
(/.f64 (sinh.f64 y) y)
(sinh.f64 y)
y

localize25.0ms (2.4%)

Memory

6.1MiB live, 44.1MiB allocated

Localize:

Found 7 expressions of interest:

New	Metric	Score
accuracy	0.0	(/.f64 (sinh.f64 y) y)
accuracy	0.0	(sinh.f64 y)
accuracy	21.41535590199992	#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 (sinh.f64 y) y))
accuracy	0.0	(sinh.f64 y)
accuracy	45.706242990743746	#s(approx (* (cos x) (/ (sinh y) y)) (sinh.f64 y))
accuracy	0.0	(cos.f64 x)
accuracy	32.56610680853549	#s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x))

Samples

17.0ms

256×

valid

Compiler

Compiled 81 to 20 computations (75.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-cos: 5.0ms (49.4% of total)

ival-div: 2.0ms (19.7% of total)

ival-mult: 1.0ms (9.9% of total)

ival-sinh: 1.0ms (9.9% of total)

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

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

series5.0ms (0.5%)

Memory

12.8MiB live, 12.8MiB allocated

Counts

6 → 21

Calls

Call 1

Inputs
#s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x))
(cos.f64 x)
#s(approx (* (cos x) (/ (sinh y) y)) (sinh.f64 y))
(sinh.f64 y)
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 (sinh.f64 y) y))
(/.f64 (sinh.f64 y) y)

Outputs
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(+ (* -1/4 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))
(+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/48 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)))))
(+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/1440 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/48 (/ (- (exp y) (/ 1 (exp y))) y)))))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(cos x)
(+ (cos x) (* 1/6 (* (pow y 2) (cos x))))
(+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x)))))
(+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x)))))))
y
(* y (+ 1 (* 1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))
(* 1/2 (- (exp y) (/ 1 (exp y))))

Calls

6 calls:

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

simplify0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

1×	egg-herbie

Counts

21 → 6

Calls

Call 1

Inputs
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
(+ (* -1/4 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))
(+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/48 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)))))
(+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/1440 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/48 (/ (- (exp y) (/ 1 (exp y))) y)))))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y))
(cos x)
(+ (cos x) (* 1/6 (* (pow y 2) (cos x))))
(+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x)))))
(+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x)))))))
y
(* y (+ 1 (* 1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))
(* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))
(* 1/2 (- (exp y) (/ 1 (exp y))))

Outputs
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))
#s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x))
(+ (* -1/4 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))
(cos.f64 x)
(+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/48 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)))))
#s(approx (* (cos x) (/ (sinh y) y)) (sinh.f64 y))
(+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/1440 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/48 (/ (- (exp y) (/ 1 (exp y))) y)))))))
(sinh.f64 y)
1
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 (sinh.f64 y) y))
(+ 1 (* -1/2 (pow x 2)))
(/.f64 (sinh.f64 y) y)

rewrite0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Counts

6 → 6

Calls

Call 1

Inputs
#s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x))
(cos.f64 x)
#s(approx (* (cos x) (/ (sinh y) y)) (sinh.f64 y))
(sinh.f64 y)
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 (sinh.f64 y) y))
(/.f64 (sinh.f64 y) y)

Outputs
#s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x))
(cos.f64 x)
#s(approx (* (cos x) (/ (sinh y) y)) (sinh.f64 y))
(sinh.f64 y)
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 (sinh.f64 y) y))
(/.f64 (sinh.f64 y) y)

eval1.0ms (0.1%)

Memory: 2.9MiB live, 2.9MiB allocated
Compiler: Compiled 150 to 18 computations (88% saved)

prune3.0ms (0.2%)

Memory

6.6MiB live, 6.6MiB allocated

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	11	0	11
Fresh	0	0	0
Picked	0	3	3
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 (cos.f64 x) (/.f64 (sinh.f64 y) y))
✓	66.5%	#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 (sinh.f64 y) y))
✓	28.6%	#s(approx (* (cos x) (/ (sinh y) y)) (sinh.f64 y))
✓	49.1%	#s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x))

Compiler

Compiled 78 to 44 computations (43.6% saved)

regimes12.0ms (1.2%)

Memory

-6.0MiB live, 32.2MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
#s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x))
#s(approx (* (cos x) (/ (sinh y) y)) (sinh.f64 y))
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 (sinh.f64 y) y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))

Outputs
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))

Calls

5 calls:

5.0ms	(cos.f64 x)
2.0ms	x
2.0ms	y
2.0ms	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
2.0ms	(/.f64 (sinh.f64 y) y)

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))`
100.0%	1	`(cos.f64 x)`
100.0%	1	`(/.f64 (sinh.f64 y) y)`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes10.0ms (1%)

Memory

-19.5MiB live, 25.6MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs
#s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x))
#s(approx (* (cos x) (/ (sinh y) y)) (sinh.f64 y))
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 (sinh.f64 y) y))

Outputs
#s(approx (* (cos x) (/ (sinh y) y)) (sinh.f64 y))
#s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x))
#s(approx (* (cos x) (/ (sinh y) y)) (/.f64 (sinh.f64 y) y))

Calls

5 calls:

3.0ms	y
2.0ms	x
2.0ms	(cos.f64 x)
2.0ms	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
1.0ms	(/.f64 (sinh.f64 y) y)

Results

Accuracy	Segments	Branch
75.8%	3	`x`
87.7%	3	`y`
93.1%	3	`(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))`
78.3%	2	`(cos.f64 x)`
87.6%	2	`(/.f64 (sinh.f64 y) y)`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes7.0ms (0.6%)

Memory

16.1MiB live, 16.1MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs
#s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x))
#s(approx (* (cos x) (/ (sinh y) y)) (sinh.f64 y))

Outputs
#s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x))
#s(approx (* (cos x) (/ (sinh y) y)) (sinh.f64 y))

Calls

5 calls:

1.0ms	y
1.0ms	x
1.0ms	(cos.f64 x)
1.0ms	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
1.0ms	(/.f64 (sinh.f64 y) y)

Results

Accuracy	Segments	Branch
49.1%	1	`x`
49.1%	1	`(cos.f64 x)`
74.1%	3	`y`
74.1%	2	`(/.f64 (sinh.f64 y) y)`
74.1%	3	`(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes4.0ms (0.4%)

Memory

11.2MiB live, 11.2MiB allocated

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x))

Outputs
#s(approx (* (cos x) (/ (sinh y) y)) (cos.f64 x))

Calls

4 calls:

1.0ms	x
1.0ms	y
1.0ms	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
1.0ms	(/.f64 (sinh.f64 y) y)

Results

Accuracy	Segments	Branch
49.1%	1	`x`
49.1%	1	`(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))`
49.1%	1	`y`
49.1%	1	`(/.f64 (sinh.f64 y) y)`

Compiler

Compiled 13 to 14 computations (-7.7% saved)

bsearch1.0ms (0.1%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.9999999999750354	1.0
0.0ms	-inf	-0.9961941767227528

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.1441752763018604	1.202948188947407e+51

Compiler

Compiled 10 to 11 computations (-10% saved)

simplify5.0ms (0.5%)

Memory: -25.7MiB live, 13.7MiB allocated

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze14.0ms (1.3%)

sample836.0ms (80%)

explain72.0ms (6.9%)

preprocess3.0ms (0.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify0.0ms (0%)

localize27.0ms (2.6%)

series11.0ms (1.1%)

simplify0.0ms (0%)

rewrite0.0ms (0%)

eval1.0ms (0.1%)

prune5.0ms (0.5%)

simplify0.0ms (0%)

localize25.0ms (2.4%)

series5.0ms (0.5%)

simplify0.0ms (0%)

rewrite0.0ms (0%)

eval1.0ms (0.1%)

prune3.0ms (0.2%)

regimes12.0ms (1.2%)

regimes10.0ms (1%)

regimes7.0ms (0.6%)

regimes4.0ms (0.4%)

bsearch1.0ms (0.1%)

bsearch0.0ms (0%)

simplify5.0ms (0.5%)

end0.0ms (0%)

Profiling