Metrics for Exp of sum of logs

analyze3.0ms (0.2%)

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 9 to 7 computations (22.2% saved)

Precisions

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

Operation ival-exp, time spent: 2.0ms, 81.0% of total-time

Operation ival-log, time spent: 0.0ms, 0.0% of total-time

Operation ival-add, time spent: 0.0ms, 0.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

sample1.4s (71.3%)

Results

1.2s	7244×	256	valid
146.0ms	1011×	256	infinite
0.0ms	1×	256	valid

Precisions

Click to see histograms. Total time spent on operations: 577.0ms

Operation ival-log, time spent: 342.0ms, 59.0% of total-time

Operation ival-exp, time spent: 139.0ms, 24.0% of total-time

Operation ival-add, time spent: 76.0ms, 13.0% of total-time

Operation const, time spent: 20.0ms, 3.0% of total-time

Bogosity

preprocess274.0ms (14.1%)

Algorithm

1×	egg-herbie

Rules

46×	`fma-define`
32×	`fma-neg`
28×	`distribute-lft-neg-in`
18×	`neg-sub0`
16×	`neg-mul-1`

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
154	17	(3.735973469039191e-236 4.7097645080124873e-88)	16	(7.175534192227769e-103 3.814214550813492e+134)	`(exp.f64 (+.f64 (log.f64 a) (log.f64 b)))`
3	0	-	1	(6.81479741951032e-227 5.719172093714715e+219)	`(+.f64 (log.f64 a) (log.f64 b))`
0	0	-	0	-	`(log.f64 b)`
0	0	-	0	-	`(log.f64 a)`
0	0	-	0	-	`b`
0	0	-	0	-	`a`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	183
1	44	99
2	77	99
3	118	99
4	191	99
5	219	99

Stop Event

1×

saturated

Calls

Call 1

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

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

Symmetry

(negabs a)

(negabs b)

(sort a b)

Compiler

Compiled 48 to 20 computations (58.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

Operation ival-log, time spent: 17.0ms, 64.0% of total-time

Operation ival-exp, time spent: 6.0ms, 23.0% of total-time

Operation ival-add, time spent: 3.0ms, 11.0% of total-time

Operation const, time spent: 1.0ms, 4.0% of total-time

eval0.0ms (0%)

Compiler: Compiled 5 to 3 computations (40% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 5 to 3 computations (40% saved)

localize25.0ms (1.3%)

Compiler: Compiled 8 to 4 computations (50% saved)
Precisions: Click to see histograms. Total time spent on operations: 9.0ms
Operation ival-mult, time spent: 9.0ms, 96.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

eval0.0ms (0%)

Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0.1%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	0	0
Total	1	1

Accuracy

100.0%

Counts

1 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes50.0ms (2.6%)

Accuracy

Total -5.0b remaining (-∞%)

Threshold costs -5b (-∞%)

Counts

2 → 1

Calls

Call 1

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

Outputs
(*.f64 b a)

Calls

6 calls:

37.0ms	(exp.f64 (+.f64 (log.f64 a) (log.f64 b)))
3.0ms	(+.f64 (log.f64 a) (log.f64 b))
3.0ms	b
3.0ms	(log.f64 a)
3.0ms	(log.f64 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)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	9	13

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(*.f64 b a)

Outputs
(*.f64 b a)

Compiler

Compiled 5 to 3 computations (40% saved)

soundness31.0ms (1.6%)

Rules

46×	`fma-define`
32×	`fma-neg`
28×	`distribute-lft-neg-in`
18×	`neg-sub0`
16×	`neg-mul-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	183
1	44	99
2	77	99
3	118	99
4	191	99
5	219	99

Stop Event

1×

saturated

Compiler

Compiled 29 to 13 computations (55.2% saved)

end0.0ms (0%)

preprocess170.0ms (8.7%)

Remove

(sort a b)

(negabs b)

(negabs a)

Compiler

Compiled 96 to 60 computations (37.5% saved)

analyze3.0ms (0.2%)

sample1.4s (71.3%)

preprocess274.0ms (14.1%)

eval0.0ms (0%)

prune1.0ms (0%)

localize25.0ms (1.3%)

eval0.0ms (0%)

prune1.0ms (0.1%)

regimes50.0ms (2.6%)

simplify2.0ms (0.1%)

soundness31.0ms (1.6%)

end0.0ms (0%)

preprocess170.0ms (8.7%)

Profiling