Metrics for Diagrams.TwoD.Path.Metafont.Internal:hobbyF from diagrams-contrib-1.3.0.5

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze171.0ms (4.2%)

Memory

-0.0MiB live, 56.5MiB 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
0%	0%	99.9%	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
75%	74.9%	25%	0.1%	0%	0%	0%	7
75%	74.9%	25%	0.1%	0%	0%	0%	8
75%	74.9%	25%	0.1%	0%	0%	0%	9
75%	74.9%	25%	0.1%	0%	0%	0%	10
75%	74.9%	25%	0.1%	0%	0%	0%	11
75%	74.9%	25%	0.1%	0%	0%	0%	12

Compiler

Compiled 52 to 34 computations (34.6% saved)

sample64.0ms (1.6%)

Memory

7.7MiB live, 23.1MiB allocated

Samples

51.0ms

260×

valid

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

ival-sin: 9.0ms (20.1% of total)

ival-mult: 8.0ms (17.9% of total)

ival-cos: 8.0ms (17.9% of total)

ival-div: 7.0ms (15.7% of total)

ival-sub: 5.0ms (11.2% of total)

ival-sqrt: 4.0ms (9% of total)

ival-add: 3.0ms (6.7% of total)

exact: 1.0ms (2.2% of total)

adjust: 0.0ms (0% of total)

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

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

Bogosity

explain3.6s (90.1%)

Memory

15.5MiB live, 2 747.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
71	17	(1.5005800579869991e-298 -2.4335863846708634e-237)	2	(-1.979208663364348e-162 3.772936981077864e-155)	`(-.f64 (cos.f64 x) (cos.f64 y))`
0	0	-	0	-	`(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x)))`
0	0	-	0	-	`(sin.f64 y)`
0	0	-	0	-	`#s(literal 3 binary64)`
0	0	-	0	-	`#s(literal 5 binary64)`
0	0	-	0	-	`#s(literal 1 binary64)`
0	0	-	0	-	`(sqrt.f64 #s(literal 5 binary64))`
0	0	-	0	-	`(-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))`
0	0	-	0	-	`(/.f64 (sin.f64 y) #s(literal 16 binary64))`
0	0	-	0	-	`(-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64)))`
0	0	-	0	-	`(.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) (-.f64 (cos.f64 x) (cos.f64 y)))`
0	0	-	0	-	`y`
0	0	-	0	-	`(cos.f64 x)`
0	0	-	0	-	`(-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64))`
0	0	-	0	-	`(*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64))))`
0	0	-	0	-	`(*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))`
0	0	-	0	-	`(sin.f64 x)`
0	0	-	0	-	`(cos.f64 y)`
0	0	-	0	-	`(/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64))`
0	0	-	0	-	`(.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))))`
0	0	-	0	-	`(+.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y)))`
0	0	-	0	-	`#s(literal 16 binary64)`
0	0	-	0	-	`(/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))`
0	0	-	0	-	`(sqrt.f64 #s(literal 2 binary64))`
0	0	-	0	-	`(-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))`
0	0	-	0	-	`(/.f64 (sin.f64 x) #s(literal 16 binary64))`
0	0	-	0	-	`(+.f64 #s(literal 2 binary64) (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) (-.f64 (cos.f64 x) (cos.f64 y))))`
0	0	-	0	-	(/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y)))))
0	0	-	0	-	`(*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y))`
0	0	-	0	-	`#s(literal 2 binary64)`
0	0	-	0	-	`(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64))))`
0	0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (cos.f64 x) (cos.f64 y))`	cancellation	14	8

Confusion

	Predicted +	Predicted -
+	0	0
-	14	242

Precision

0.0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	14	9	233

Precision?

0.0

Recall?

0/0

2:

4:

8:

16:

32:

64:

128:

256:

512:

1024:

2048:

Freqs

test

number	freq
0	242
1	14

Total Confusion?

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

Precision?

0.0

Recall?

0/0

Total Time

26.567626953125

Average Time

0.10377979278564453

Samples

533.0ms	2 136×	0	valid
361.0ms	432×	2	valid
222.0ms	504×	1	valid

Compiler

Compiled 10 236 to 1 560 computations (84.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 905.0ms

ival-cos: 215.0ms (23.8% of total)

adjust: 138.0ms (15.2% of total)

ival-mult: 135.0ms (14.9% of total)

ival-sin: 121.0ms (13.4% of total)

ival-div: 106.0ms (11.7% of total)

ival-sub: 80.0ms (8.8% of total)

ival-add: 52.0ms (5.7% of total)

ival-sqrt: 47.0ms (5.2% of total)

exact: 7.0ms (0.8% of total)

ival-true: 2.0ms (0.2% of total)

ival-assert: 1.0ms (0.1% of total)

preprocess141.0ms (3.5%)

Memory

-2.9MiB live, 40.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	260
1	202	254
2	550	250
3	2488	240
4	5906	240
0	32	50
0	57	50
1	104	50
2	227	50
3	787	48
4	3614	46
0	8097	43

Stop Event

1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y)))))

Inputs

(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) (-.f64 (cos.f64 x) (cos.f64 y)))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y)))))

Outputs
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y)))))
(/.f64 (fma.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64))) (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (fma.f64 #s(literal 3/2 binary64) (fma.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) (cos.f64 x) (*.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) (cos.f64 y))) #s(literal 3 binary64)))

Outputs

(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) (-.f64 (cos.f64 x) (cos.f64 y)))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y)))))

(/.f64 (fma.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (*.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64))) (*.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (fma.f64 #s(literal 3/2 binary64) (fma.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) (cos.f64 x) (*.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) (cos.f64 y))) #s(literal 3 binary64)))

Compiler

Compiled 50 to 32 computations (36% saved)

eval0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.3%	(/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y)))))

Status

Accuracy

Program

99.3%

(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) (-.f64 (cos.f64 x) (cos.f64 y)))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y)))))

Compiler

Compiled 100 to 64 computations (36% saved)

simplify23.0ms (0.6%)

Memory

0.4MiB live, 18.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	50
1	54	50
2	77	50
3	96	50
4	131	50
5	184	50
6	189	50

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y)))))

Inputs

(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) (-.f64 (cos.f64 x) (cos.f64 y)))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y)))))

Outputs
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) (-.f64 (cos.f64 x) (cos.f64 y)))) (.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y)))))
(/.f64 (+.f64 (.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64))) (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64))) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 2 binary64)) (.f64 (+.f64 (.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y)) (+.f64 (.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x)) #s(literal 1 binary64))) #s(literal 3 binary64)))

Outputs

(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64)))) (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64)))) (-.f64 (cos.f64 x) (cos.f64 y)))) (*.f64 #s(literal 3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x))) (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y)))))

(/.f64 (+.f64 (*.f64 (-.f64 (cos.f64 x) (cos.f64 y)) (*.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 x) #s(literal 16 binary64))) (*.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) #s(literal 16 binary64))) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 2 binary64)) (*.f64 (+.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 5 binary64))) #s(literal 2 binary64)) (cos.f64 y)) (+.f64 (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(literal 5 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 x)) #s(literal 1 binary64))) #s(literal 3 binary64)))

soundness0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Stop Event

1×

fuel

Compiler

Compiled 50 to 32 computations (36% saved)

preprocess1.0ms (0%)

Memory: 0.6MiB live, 0.6MiB allocated
Compiler: Compiled 200 to 128 computations (36% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze171.0ms (4.2%)

sample64.0ms (1.6%)

explain3.6s (90.1%)

preprocess141.0ms (3.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify23.0ms (0.6%)

soundness0.0ms (0%)

preprocess1.0ms (0%)

end0.0ms (0%)

Profiling