Metrics for Exp of sum of logs

analyze1.0ms (0%)

Memory

1.1MiB live, 1.1MiB 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%	50%	0.1%	0%	50%	0%	2
100%	25%	0%	0.1%	0%	74.9%	0%	3

Compiler

Compiled 8 to 8 computations (0% saved)

sample1.0s (80.2%)

Memory

2.0MiB live, 1 273.7MiB allocated

Samples

797.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 514.0ms

ival-log: 289.0ms (56.3% of total)

ival-exp: 130.0ms (25.3% of total)

ival-add: 85.0ms (16.5% of total)

ival-true: 7.0ms (1.4% of total)

ival-assert: 3.0ms (0.6% of total)

Bogosity

preprocess15.0ms (1.2%)

Memory

24.4MiB live, 24.4MiB allocated

Algorithm

2×	egg-herbie

Rules

28×	`distribute-lft-neg-in`
18×	`neg-sub0`
16×	`neg-mul-1`
14×	`+-commutative`
12×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	38
1	38	20
2	71	20
3	112	20
4	164	20
5	170	20
0	6	6
1	10	3
2	13	3
0	13	3

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(exp (+ (log a) (log b)))

Outputs
(exp (+ (log a) (log b)))
(*.f64 a b)

Call 2

Inputs
(exp (+ (log a) (log b)))
(exp (+ (log (neg a)) (log b)))
(exp (+ (log a) (log (neg b))))
(neg (exp (+ (log (neg a)) (log b))))
(neg (exp (+ (log a) (log (neg b)))))
(exp (+ (log b) (log a)))

Outputs
(exp (+ (log a) (log b)))
(* a b)
(exp (+ (log (neg a)) (log b)))
(* a (neg b))
(exp (+ (log a) (log (neg b))))
(* a (neg b))
(neg (exp (+ (log (neg a)) (log b))))
(* a b)
(neg (exp (+ (log a) (log (neg b)))))
(* a b)
(exp (+ (log b) (log a)))
(* a b)

Symmetry

(negabs a)

(negabs b)

(sort a b)

explain107.0ms (8.3%)

Memory

-40.9MiB live, 161.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
161	20	(8.4627883890485605e-224 1.5317945610124045e+298)	14	(8.016743000822829e-275 1.4529155868740446e+293)	`(exp.f64 (+.f64 (log.f64 a) (log.f64 b)))`
2	0	-	0	-	`(+.f64 (log.f64 a) (log.f64 b))`
0	0	-	0	-	`a`
0	0	-	0	-	`b`
0	0	-	0	-	`(log.f64 a)`
0	0	-	0	-	`(log.f64 b)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`exp.f64`	`(exp.f64 (+.f64 (log.f64 a) (log.f64 b)))`	sensitivity	167	26
`+.f64`	`(+.f64 (log.f64 a) (log.f64 b))`	cancellation	2	3

Confusion

	Predicted +	Predicted -
+	154	31
-	15	56

Precision

0.9112426035502958

Recall

0.8324324324324325

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	154	27	4
-	15	2	54

Precision?

0.9141414141414141

Recall?

0.9783783783783784

Freqs

test

number	freq
0	87
1	169

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

51.0ms

512×

valid

Compiler

Compiled 54 to 28 computations (48.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-log: 14.0ms (64.6% of total)

ival-exp: 5.0ms (23.1% of total)

ival-add: 2.0ms (9.2% of total)

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

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

eval0.0ms (0%)

Memory: 0.7MiB live, 0.7MiB allocated
Compiler: Compiled 5 to 3 computations (40% saved)

prune1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(*.f64 a b)

Compiler

Compiled 5 to 3 computations (40% saved)

simplify3.0ms (0.2%)

Memory

6.1MiB live, 6.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 1 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 a b)

Rules

4×	`-lowering-.f32`
4×	`-lowering-.f64`
2×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	5
1	4	5
0	4	5

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* a b)
a
b

Outputs
(* a b)
(*.f64 a b)
a
b

localize10.0ms (0.8%)

Memory

19.0MiB live, 19.0MiB allocated

Localize:

Found 1 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 a b)

Samples

7.0ms

256×

valid

Compiler

Compiled 7 to 5 computations (28.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-mult: 2.0ms (99.5% of total)

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

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

series2.0ms (0.2%)

Memory

4.5MiB live, 4.5MiB allocated

Counts

1 → 24

Calls

Call 1

Inputs
#<alt (* a b)>

Outputs
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	b	@	-inf	(* a b)
0.0ms	a	@	inf	(* a b)
0.0ms	a	@	-inf	(* a b)
0.0ms	a	@	0	(* a b)
0.0ms	b	@	inf	(* a b)

rewrite17.0ms (1.3%)

Memory

-8.4MiB live, 30.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4×	`-lowering-.f32`
4×	`-lowering-.f64`
2×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	3
1	4	3
0	4	3

Stop Event

1×	iter limit
1×	saturated

Counts

1 → 2

Calls

Call 1

Inputs
(* a b)

Outputs
(*.f64 a b)
(*.f64 b a)

simplify4.0ms (0.3%)

Memory

7.7MiB live, 7.7MiB allocated

Algorithm

1×	egg-herbie

Rules

4×	`-lowering-.f32`
4×	`-lowering-.f64`
2×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	72
1	4	72
0	4	72

Stop Event

1×	iter limit
1×	saturated

Counts

24 → 24

Calls

Call 1

Inputs
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)
(* a b)

Outputs
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)

eval2.0ms (0.2%)

Memory: 3.6MiB live, 3.6MiB allocated
Compiler: Compiled 80 to 4 computations (95% saved)

prune1.0ms (0.1%)

Memory

2.8MiB live, 2.8MiB allocated

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	26	0	26
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	26	1	27

Accuracy

100.0%

Counts

27 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 a b)

Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes11.0ms (0.9%)

Memory

-21.0MiB live, 17.9MiB allocated

Accuracy

Total -5.2b remaining (-∞%)

Threshold costs -5.2b (-∞%)

Counts

2 → 1

Calls

Call 1

Inputs
(*.f64 a b)
(exp.f64 (+.f64 (log.f64 a) (log.f64 b)))

Outputs
(*.f64 a b)

Calls

6 calls:

3.0ms	(log.f64 b)
2.0ms	(log.f64 a)
1.0ms	(+.f64 (log.f64 a) (log.f64 b))
1.0ms	(exp.f64 (+.f64 (log.f64 a) (log.f64 b)))
1.0ms	b

Results

Accuracy	Segments	Branch
100.0%	1	`a`
100.0%	1	`b`
100.0%	1	`(exp.f64 (+.f64 (log.f64 a) (log.f64 b)))`
100.0%	1	`(+.f64 (log.f64 a) (log.f64 b))`
100.0%	1	`(log.f64 a)`
100.0%	1	`(log.f64 b)`

Compiler

Compiled 29 to 21 computations (27.6% saved)

simplify6.0ms (0.5%)

Memory

8.5MiB live, 8.5MiB allocated

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	3
1	4	3

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 a b)

Outputs
(*.f64 a b)

soundness3.0ms (0.3%)

Memory

3.8MiB live, 3.8MiB allocated

Rules

6×	`exp-lowering-exp.f32`
6×	`exp-lowering-exp.f64`
4×	`+-lowering-+.f64`
4×	`log-lowering-log.f64`
4×	`-lowering-.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	6
1	10	3
2	13	3
0	13	3

Stop Event

1×	done
1×	iter limit
1×	saturated

Compiler

Compiled 10 to 6 computations (40% saved)

preprocess70.0ms (5.4%)

Memory

-32.9MiB live, 57.1MiB allocated

Remove

(sort a b)

(negabs b)

(negabs a)

Compiler

Compiled 96 to 60 computations (37.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze1.0ms (0%)

sample1.0s (80.2%)

preprocess15.0ms (1.2%)

explain107.0ms (8.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify3.0ms (0.2%)

localize10.0ms (0.8%)

series2.0ms (0.2%)

rewrite17.0ms (1.3%)

simplify4.0ms (0.3%)

eval2.0ms (0.2%)

prune1.0ms (0.1%)

regimes11.0ms (0.9%)

simplify6.0ms (0.5%)

soundness3.0ms (0.3%)

preprocess70.0ms (5.4%)

end0.0ms (0%)

Profiling