Metrics for Toniolo and Linder, Equation (10-)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze516.0ms (17.3%)

Memory

3.3MiB live, 169.9MiB 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 (2.1%)

Memory

4.1MiB live, 19.1MiB allocated

Samples

22.0ms	155×	0	valid
13.0ms	45×	2	valid
11.0ms	33×	3	valid
5.0ms	27×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

adjust: 9.0ms (20.6% of total)

ival-div: 6.0ms (13.7% of total)

ival-mult: 6.0ms (13.7% of total)

ival-sin: 5.0ms (11.4% of total)

ival-pow2: 4.0ms (9.1% of total)

ival-tan: 4.0ms (9.1% of total)

ival-pow: 4.0ms (9.1% of total)

ival-sub: 2.0ms (4.6% of total)

ival-add: 2.0ms (4.6% of total)

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

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

exact: 0.0ms (0% of total)

Bogosity

explain2.2s (73.4%)

Memory

8.8MiB live, 1 561.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
100	0	-	4	(-7.08375223958564e-47 -3.406068288890547e+92 2.9304439729272896e+97)	`(.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)))`
63	0	-	0	-	`(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))`
49	60	(2.034900734748355e+289 -1.9832708515770458e-189 -2.0585387734362915e+81)	0	-	`(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))`
4	0	-	0	-	`(.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (sin.f64 k))`
4	1	(-7.08375223958564e-47 -3.406068288890547e+92 2.9304439729272896e+97)	0	-	`(.f64 (.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))`
2	0	-	1	(-1.7193860424948135e+185 1.7934258550437455e-214 -5.395335827635247e-76)	`(/.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	109	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**	59	0
↳	`(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))`	underflow	100
↳	`(.f64 (.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))`	underflow	121
↳	`(.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (sin.f64 k))`	underflow	114
↳	`(pow.f64 t #s(literal 3 binary64))`	underflow	106
↳	`(*.f64 l l)`	underflow	73
↳	`(/.f64 k t)`	overflow	42
↳	`(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))`	overflow	90
↳	`(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64)))`	overflow	90
↳	`(pow.f64 (/.f64 k t) #s(literal 2 binary64))`	overflow	90
`*.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**	26	0
↳	`(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))`	overflow	80
↳	`(.f64 (.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))`	overflow	72
↳	`(.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (sin.f64 k))`	overflow	76
↳	`(pow.f64 t #s(literal 3 binary64))`	overflow	73
↳	`(*.f64 l l)`	overflow	61
↳	`(/.f64 k t)`	underflow	22
↳	`(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))`	underflow	55
↳	`(pow.f64 (/.f64 k t) #s(literal 2 binary64))`	underflow	54
`/.f64`	`(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))`	u/u	23	0
↳	`(pow.f64 t #s(literal 3 binary64))`	underflow	106
↳	`(*.f64 l l)`	underflow	73
`/.f64`	`(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))`	o/o	19	0
↳	`(pow.f64 t #s(literal 3 binary64))`	overflow	73
↳	`(*.f64 l l)`	overflow	61
`/.f64`	`(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))`	u/n	13	0
↳	`(pow.f64 t #s(literal 3 binary64))`	underflow	106
`*.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**	7	0
`*.f64`	`(.f64 (.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))`	*no**	4	0
`*.f64`	`(.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (sin.f64 k))`	*no**	4	0
`/.f64`	`(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))`	n/u	4	0
↳	`(*.f64 l l)`	underflow	73
`*.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**	4	0
`/.f64`	`(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))`	o/n	2	0
↳	`(pow.f64 t #s(literal 3 binary64))`	overflow	73
`/.f64`	`(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))`	n/o	2	0
↳	`(*.f64 l l)`	overflow	61
`*.f64`	`(.f64 (.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))`	*nu**	1	0
`/.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	1	0
↳	`(.f64 (.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))`	overflow	72
↳	`(.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (sin.f64 k))`	overflow	76
↳	`(.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	67
↳	`(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64)))`	overflow	90
↳	`(/.f64 k t)`	overflow	42
↳	`(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))`	overflow	80
↳	`(pow.f64 t #s(literal 3 binary64))`	overflow	73
↳	`(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))`	overflow	90
↳	`(*.f64 l l)`	overflow	61
↳	`(pow.f64 (/.f64 k t) #s(literal 2 binary64))`	overflow	90

Confusion

	Predicted +	Predicted -
+	161	0
-	43	52

Precision

0.7892156862745098

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	161	0	0
-	43	0	52

Precision?

0.7892156862745098

Recall?

1.0

Freqs

test

number	freq
0	52
1	130
2	74

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Total Time

11.185302734375

Average Time

0.043692588806152344

Samples

297.0ms	1 836×	0	valid
174.0ms	528×	2	valid
148.0ms	372×	3	valid
77.0ms	336×	1	valid

Compiler

Compiled 4 572 to 936 computations (79.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 518.0ms

adjust: 109.0ms (21% of total)

ival-mult: 76.0ms (14.7% of total)

ival-div: 74.0ms (14.3% of total)

ival-sin: 60.0ms (11.6% of total)

ival-tan: 51.0ms (9.8% of total)

ival-pow: 50.0ms (9.6% of total)

ival-pow2: 43.0ms (8.3% of total)

ival-add: 24.0ms (4.6% of total)

ival-sub: 23.0ms (4.4% of total)

exact: 4.0ms (0.8% of total)

ival-true: 2.0ms (0.4% of total)

ival-assert: 1.0ms (0.2% of total)

preprocess169.0ms (5.7%)

Memory

-6.3MiB 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
	37.5%	(/.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

37.5%

(/.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)

simplify21.0ms (0.7%)

Memory

2.4MiB live, 18.2MiB 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)

preprocess23.0ms (0.8%)

Memory

1.2MiB live, 9.6MiB 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%)

analyze516.0ms (17.3%)

sample63.0ms (2.1%)

explain2.2s (73.4%)

preprocess169.0ms (5.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify21.0ms (0.7%)

soundness0.0ms (0%)

preprocess23.0ms (0.8%)

end0.0ms (0%)

Profiling