Metrics for expq3 (problem 3.4.2)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze129.0ms (1.5%)

Memory

-0.7MiB live, 46.6MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	25.4%	74.6%	0%	0%	0%	0
0%	0%	25.4%	74.6%	0%	0%	0%	1
0%	0%	25.4%	74.6%	0%	0%	0%	2
0%	0%	25.4%	74.6%	0%	0%	0%	3
0%	0%	22.2%	74.6%	0%	3.2%	0%	4
0%	0%	20.6%	74.6%	0%	4.8%	0%	5
0%	0%	18.3%	74.6%	0%	7.1%	0%	6
0%	0%	10.7%	74.6%	0%	14.7%	0%	7
0%	0%	9.3%	74.6%	0%	16.1%	0%	8
0%	0%	8.2%	74.6%	0%	17.2%	0%	9
0%	0%	5.7%	74.6%	0%	19.7%	0%	10
0%	0%	5%	74.6%	0%	20.4%	0%	11
0%	0%	4.4%	74.6%	0%	21%	0%	12

Compiler

Compiled 52 to 27 computations (48.1% saved)

sample401.0ms (4.6%)

Memory

1.8MiB live, 152.9MiB allocated

Samples

269.0ms	2 112×	0	invalid
33.0ms	260×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 236.0ms

ival-mult: 78.0ms (33% of total)

const: 35.0ms (14.8% of total)

ival-expm1: 33.0ms (14% of total)

ival-fabs: 23.0ms (9.7% of total)

ival-<=: 23.0ms (9.7% of total)

ival-div: 13.0ms (5.5% of total)

ival-add: 11.0ms (4.7% of total)

ival-fmin: 11.0ms (4.7% of total)

ival-and: 7.0ms (3% of total)

ival-assert: 1.0ms (0.4% of total)

exact: 1.0ms (0.4% of total)

Bogosity

explain8.0s (91.5%)

Memory

43.7MiB live, 4 934.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
235	0	-	4	(5.8859123710642245e-92 -1.9239958079254253e-11 1.2294752467873365e-110)	`(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))`
131	2	(4.660254700440715e-80 1.7040581452055658e-224 6.979573189647123e-244)	0	-	`(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))`
106	1	(3.7169443003312433e-205 -4.314989358213393e-93 6.0865327042051656e-232)	0	-	`(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))`
93	1	(4.660254700440715e-80 1.7040581452055658e-224 6.979573189647123e-244)	0	-	`(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))`
0	0	-	0	-	`(+.f64 a b)`
0	0	-	0	-	`(*.f64 b eps)`
0	0	-	0	-	`(exp.f64 (*.f64 a eps))`
0	0	-	0	-	`a`
0	0	-	0	-	`#s(literal 1 binary64)`
0	0	-	0	-	`(*.f64 a eps)`
0	0	-	0	-	`(exp.f64 (*.f64 (+.f64 a b) eps))`
0	0	-	0	-	`eps`
0	0	-	0	-	`(.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))`
0	0	-	0	-	`(.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64)))`
0	0	-	0	-	`(*.f64 (+.f64 a b) eps)`
0	0	-	0	-	`(exp.f64 (*.f64 b eps))`
0	0	-	0	-	`b`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))`	u/u	215	0
↳	`(.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64)))`	underflow	215
↳	`(*.f64 (+.f64 a b) eps)`	underflow	123
↳	`(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))`	underflow	123
↳	`(*.f64 b eps)`	underflow	149
↳	`(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))`	underflow	162
↳	`(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))`	underflow	149
↳	`(.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))`	underflow	231
↳	`(*.f64 a eps)`	underflow	162
`-.f64`	`(-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))`	cancellation	133	0
`-.f64`	`(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))`	cancellation	107	0
`-.f64`	`(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))`	cancellation	94	0
`/.f64`	`(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))`	n/u	16	0
↳	`(*.f64 b eps)`	underflow	149
↳	`(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))`	underflow	162
↳	`(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))`	underflow	149
↳	`(.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))`	underflow	231
↳	`(*.f64 a eps)`	underflow	162

Confusion

	Predicted +	Predicted -
+	256	0
-	0	0

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	256	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
1	123
3	90
4	43

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Total Time

29.80615234375

Average Time

0.11643028259277344

Samples

2.5s

23 040×

valid

Compiler

Compiled 14 625 to 3 240 computations (77.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.7s

ival-mult: 628.0ms (37.9% of total)

ival-exp: 421.0ms (25.4% of total)

ival-expm1: 320.0ms (19.3% of total)

ival-div: 128.0ms (7.7% of total)

ival-add: 118.0ms (7.1% of total)

ival-true: 20.0ms (1.2% of total)

exact: 14.0ms (0.8% of total)

ival-assert: 9.0ms (0.5% of total)

preprocess183.0ms (2.1%)

Memory

-2.1MiB live, 22.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	82	233
1	250	229
2	708	227
3	2151	224
4	7041	224
0	17	24
0	30	24
1	56	24
2	109	24
3	176	24
4	327	24
5	655	24
6	1264	24
7	3455	24
8	6175	24
9	7511	24
10	7817	24
11	7898	24
12	7928	24
0	8057	18

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))

Inputs

(/.f64 (*.f64 eps (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (*.f64 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))

Outputs
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))
(.f64 (/.f64 (/.f64 eps (expm1.f64 (.f64 b eps))) (expm1.f64 (.f64 a eps))) (expm1.f64 (.f64 (+.f64 b a) eps)))

Outputs

(/.f64 (*.f64 eps (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (*.f64 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))

(*.f64 (/.f64 (/.f64 eps (expm1.f64 (*.f64 b eps))) (expm1.f64 (*.f64 a eps))) (expm1.f64 (*.f64 (+.f64 b a) eps)))

Symmetry

(sort a b)

Compiler

Compiled 24 to 17 computations (29.2% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB 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
	0.0%	(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))

Status

Accuracy

Program

0.0%

(/.f64 (*.f64 eps (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (*.f64 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))

Compiler

Compiled 48 to 34 computations (29.2% saved)

simplify20.0ms (0.2%)

Memory

2.2MiB live, 18.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	24
1	30	24
2	36	24
3	39	24
4	42	24
5	47	24

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))

Inputs

(/.f64 (*.f64 eps (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (*.f64 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))

Outputs
(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))
(/.f64 (.f64 (-.f64 (exp.f64 (.f64 (+.f64 b a) eps)) #s(literal 1 binary64)) eps) (.f64 (-.f64 (exp.f64 (.f64 b eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))))

Outputs

(/.f64 (*.f64 eps (-.f64 (exp.f64 (*.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (*.f64 (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))

(/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 (+.f64 b a) eps)) #s(literal 1 binary64)) eps) (*.f64 (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))))

soundness0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Stop Event

1×

fuel

Compiler

Compiled 24 to 17 computations (29.2% saved)

preprocess3.0ms (0%)

Memory: -5.8MiB live, 2.0MiB allocated
Remove: (sort a b)
Compiler: Compiled 206 to 150 computations (27.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze129.0ms (1.5%)

sample401.0ms (4.6%)

explain8.0s (91.5%)

preprocess183.0ms (2.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify20.0ms (0.2%)

soundness0.0ms (0%)

preprocess3.0ms (0%)

end0.0ms (0%)

Profiling