Metrics for Toniolo and Linder, Equation (10-)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze527.0ms (4.1%)

Memory

-3.6MiB live, 168.2MiB 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
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
0%	0%	99.9%	0.1%	0%	0%	0%	6
0%	0%	99.9%	0.1%	0%	0%	0%	7
0%	0%	99.9%	0.1%	0%	0%	0%	8
0%	0%	99.9%	0.1%	0%	0%	0%	9
2%	2%	97.9%	0.1%	0%	0%	0%	10
2.9%	2.9%	96.9%	0.1%	0%	0%	0%	11
3.8%	3.8%	96.1%	0.1%	0%	0%	0%	12

Compiler

Compiled 27 to 21 computations (22.2% saved)

sample63.0ms (0.5%)

Memory

-4.9MiB live, 19.4MiB allocated

Samples

21.0ms	143×	0	valid
12.0ms	42×	3	valid
11.0ms	42×	2	valid
7.0ms	33×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-div: 7.0ms (16.5% of total)

adjust: 6.0ms (14.2% of total)

ival-mult: 6.0ms (14.2% of total)

ival-sin: 5.0ms (11.8% of total)

ival-pow2: 4.0ms (9.4% of total)

ival-tan: 4.0ms (9.4% of total)

ival-pow: 4.0ms (9.4% of total)

ival-sub: 2.0ms (4.7% of total)

ival-add: 2.0ms (4.7% of total)

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

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

exact: 0.0ms (0% of total)

Bogosity

explain12.0s (93.8%)

Memory

-29.6MiB live, 6 226.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
92	0	-	3	(-3.2852315379121254e-105 3.531220858017919e-32 -1.0476783747017014e-31)	`(.f64 (.f64 (.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))`
70	0	-	2	(-3.2852315379121254e-105 3.531220858017919e-32 -1.0476783747017014e-31)	`(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))`
54	0	-	0	-	`(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))`
9	0	-	0	-	`(.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (sin.f64 k))`
8	0	-	0	-	`(.f64 (.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))`
1	1	(4.787711220672376e-151 -1.1237710631632135e-92 -6.422916983224034e+144)	0	-	`(/.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))`
0	0	-	0	-	`k`
0	0	-	0	-	`(/.f64 k t)`
0	0	-	0	-	`t`
0	0	-	0	-	`#s(literal 1 binary64)`
0	0	-	0	-	`#s(literal 3 binary64)`
0	0	-	0	-	`(tan.f64 k)`
0	0	-	0	-	`(pow.f64 (/.f64 k t) #s(literal 2 binary64))`
0	0	-	0	-	`(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64)))`
0	0	-	0	-	`(*.f64 l l)`
0	0	-	0	-	`(sin.f64 k)`
0	0	-	0	-	`(pow.f64 t #s(literal 3 binary64))`
0	0	-	0	-	`#s(literal 2 binary64)`
0	0	-	0	-	`l`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))`	cancellation	54	0
`*.f64`	`(.f64 (.f64 (.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))`	*uo**	50	0
↳	`(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))`	underflow	90
↳	`(.f64 (.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))`	underflow	110
↳	`(.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (sin.f64 k))`	underflow	100
↳	`(pow.f64 t #s(literal 3 binary64))`	underflow	88
↳	`(*.f64 l l)`	underflow	58
↳	`(/.f64 k t)`	overflow	32
↳	`(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))`	overflow	74
↳	`(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64)))`	overflow	74
↳	`(pow.f64 (/.f64 k t) #s(literal 2 binary64))`	overflow	74
`/.f64`	`(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))`	o/o	28	0
↳	`(pow.f64 t #s(literal 3 binary64))`	overflow	84
↳	`(*.f64 l l)`	overflow	67
`*.f64`	`(.f64 (.f64 (.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))`	*ou**	24	0
↳	`(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))`	overflow	75
↳	`(.f64 (.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))`	overflow	58
↳	`(.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (sin.f64 k))`	overflow	66
↳	`(pow.f64 t #s(literal 3 binary64))`	overflow	84
↳	`(*.f64 l l)`	overflow	67
↳	`(/.f64 k t)`	underflow	32
↳	`(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))`	underflow	68
↳	`(pow.f64 (/.f64 k t) #s(literal 2 binary64))`	underflow	68
`/.f64`	`(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))`	u/u	23	0
↳	`(pow.f64 t #s(literal 3 binary64))`	underflow	88
↳	`(*.f64 l l)`	underflow	58
`*.f64`	`(.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (sin.f64 k))`	*no**	9	0
`*.f64`	`(.f64 (.f64 (.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))`	*nu**	9	0
`*.f64`	`(.f64 (.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))`	*no**	8	0
`*.f64`	`(.f64 (.f64 (.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))`	*no**	6	0
`/.f64`	`(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))`	n/u	5	0
↳	`(*.f64 l l)`	underflow	58
`/.f64`	`(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))`	o/n	4	0
↳	`(pow.f64 t #s(literal 3 binary64))`	overflow	84
`/.f64`	`(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))`	n/o	4	0
↳	`(*.f64 l l)`	overflow	67
`/.f64`	`(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))`	u/n	4	0
↳	`(pow.f64 t #s(literal 3 binary64))`	underflow	88
`/.f64`	`(/.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))`	n/o	2	0
↳	`(.f64 (.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))`	overflow	58
↳	`(.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (sin.f64 k))`	overflow	66
↳	`(.f64 (.f64 (.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))`	overflow	65
↳	`(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64)))`	overflow	74
↳	`(/.f64 k t)`	overflow	32
↳	`(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))`	overflow	75
↳	`(pow.f64 t #s(literal 3 binary64))`	overflow	84
↳	`(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))`	overflow	74
↳	`(*.f64 l l)`	overflow	67
↳	`(pow.f64 (/.f64 k t) #s(literal 2 binary64))`	overflow	74

Confusion

	Predicted +	Predicted -
+	167	3
-	29	57

Precision

0.8520408163265306

Recall

0.9823529411764705

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	167	0	3
-	29	0	57

Precision?

0.8520408163265306

Recall?

0.9823529411764705

Freqs

test

number	freq
0	60
1	163
2	32
3	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Total Time

61.183837890625

Average Time

0.2389993667602539

Samples

2.0s	12 330×	0	valid
1.4s	3 780×	3	valid
1.2s	3 960×	2	valid
691.0ms	2 970×	1	valid

Compiler

Compiled 17 235 to 3 600 computations (79.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.9s

ival-div: 646.0ms (16.7% of total)

adjust: 605.0ms (15.6% of total)

ival-mult: 577.0ms (14.9% of total)

ival-sin: 420.0ms (10.9% of total)

ival-tan: 404.0ms (10.5% of total)

ival-pow: 377.0ms (9.8% of total)

ival-pow2: 376.0ms (9.7% of total)

ival-add: 204.0ms (5.3% of total)

ival-sub: 191.0ms (4.9% of total)

exact: 34.0ms (0.9% of total)

ival-true: 23.0ms (0.6% of total)

ival-assert: 10.0ms (0.3% of total)

preprocess156.0ms (1.2%)

Memory

-5.5MiB live, 51.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	82	231
1	239	207
2	1063	189
0	19	25
0	32	25
1	57	23
2	161	21
3	849	21
4	3567	21
0	8265	21

Stop Event

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

Calls

Call 1

Inputs
(/.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))

Inputs

(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))

Outputs
(/.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) (.f64 (tan.f64 k) (.f64 (/.f64 (/.f64 (sin.f64 k) l) l) (pow.f64 t #s(literal 3 binary64)))))

Outputs

(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))

(/.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) (*.f64 (tan.f64 k) (*.f64 (/.f64 (/.f64 (sin.f64 k) l) l) (pow.f64 t #s(literal 3 binary64)))))

Symmetry

(abs k)

(abs l)

(negabs t)

Compiler

Compiled 25 to 19 computations (24% saved)

eval0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
	35.0%	(/.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))

Status

Accuracy

Program

35.0%

(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))

Compiler

Compiled 50 to 38 computations (24% saved)

simplify20.0ms (0.2%)

Memory

-0.1MiB live, 18.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	25
1	28	25
2	32	25
3	35	25
4	38	25
5	41	25

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))

Inputs

(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))

Outputs
(/.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) (.f64 (-.f64 (+.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (tan.f64 k) (.f64 (sin.f64 k) (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l))))))

Outputs

(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))

(/.f64 #s(literal 2 binary64) (*.f64 (-.f64 (+.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (tan.f64 k) (*.f64 (sin.f64 k) (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))))))

soundness0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Stop Event

1×

fuel

Compiler

Compiled 25 to 19 computations (24% saved)

preprocess22.0ms (0.2%)

Memory

1.9MiB live, 9.5MiB allocated

Remove

(negabs t)

(abs l)

(abs k)

Compiler

Compiled 400 to 304 computations (24% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze527.0ms (4.1%)

sample63.0ms (0.5%)

explain12.0s (93.8%)

preprocess156.0ms (1.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify20.0ms (0.2%)

soundness0.0ms (0%)

preprocess22.0ms (0.2%)

end0.0ms (0%)

Profiling