Metrics for Exp of sum of logs

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze1.0ms (0%)

Memory

0.8MiB live, 0.9MiB allocated; 0ms collecting garbage

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)

sample894.0ms (40.3%)

Memory

-11.9MiB live, 1 098.6MiB allocated; 281ms collecting garbage

Samples

658.0ms	8 245×	0	valid
2.0ms	11×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 358.0ms

ival-log: 189.0ms (52.7% of total)

ival-exp: 144.0ms (40.2% of total)

ival-add!: 24.0ms (6.7% of total)

adjust: 2.0ms (0.6% of total)

Bogosity

preprocess95.0ms (4.3%)

Memory

-5.9MiB live, 102.2MiB allocated; 37ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	30
1	60	18
2	270	18
3	1076	18

Stop Event

1×	iter-limit
1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	92.2%	(exp.f64 (+.f64 (log.f64 a) (log.f64 b)))

Symmetry

(abs a)

(abs b)

(negabs a)

(negabs b)

(sort a b)

Compiler

Compiled 12 to 12 computations (0% saved)

series261.0ms (11.7%)

Memory

-9.0MiB live, 306.7MiB allocated; 88ms collecting garbage

Counts

6 → 12

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable	Point
51.0ms	a	0
30.0ms	b	0
28.0ms	a	-inf
16.0ms	b	inf
13.0ms	b	-inf

rewrite176.0ms (7.9%)

Memory

31.4MiB live, 163.2MiB allocated; 24ms collecting garbage

Counts

6 → 12

Calls

Call 1

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

Outputs
(*.f64 (exp.f64 (log.f64 a)) (exp.f64 (log.f64 b)))
(fabs.f64 (exp.f64 (log.f64 (*.f64 a b))))
(+.f64 (cosh.f64 (log.f64 (.f64 a b))) (sinh.f64 (log.f64 (.f64 a b))))
(exp.f64 (log.f64 (*.f64 a b)))
(+.f64 (log.f64 a) (log.f64 b))
(+.f64 (log.f64 b) (log.f64 a))
(-.f64 (log.f64 a) (neg.f64 (log.f64 b)))
(log.f64 (*.f64 a b))
(log.f64 a)
a
(log.f64 b)
b

eval3.0ms (0.1%)

Memory: 4.1MiB live, 4.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 198 to 66 computations (66.7% saved)

prune2.0ms (0.1%)

Memory

3.1MiB live, 3.1MiB allocated; 0ms collecting garbage

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	17	2	19
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	18	2	20

Accuracy

94.2%

Counts

20 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	92.5%	(*.f64 (exp.f64 (log.f64 a)) (exp.f64 (log.f64 b)))
▶	93.7%	(exp.f64 (log.f64 (*.f64 a b)))

Compiler

Compiled 12 to 12 computations (0% saved)

series248.0ms (11.2%)

Memory

-47.0MiB live, 310.4MiB allocated; 56ms collecting garbage

Counts

10 → 12

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable	Point
54.0ms	b	-inf
24.0ms	a	0
20.0ms	a	-inf
16.0ms	b	inf
16.0ms	b	0

rewrite201.0ms (9.1%)

Memory

12.9MiB live, 203.4MiB allocated; 15ms collecting garbage

Counts

10 → 37

Calls

Call 1

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

Outputs
(*.f64 a b)
(*.f64 b a)
(fabs.f64 (*.f64 a b))
(+.f64 (cosh.f64 (log.f64 (.f64 a b))) (sinh.f64 (log.f64 (.f64 a b))))
(exp.f64 (log.f64 (*.f64 a b)))
(exp.f64 (+.f64 (log.f64 a) (log.f64 b)))
(log.f64 (*.f64 a b))
(*.f64 a b)
(*.f64 b a)
(fabs.f64 (*.f64 a b))
(+.f64 (cosh.f64 (log.f64 (.f64 a b))) (sinh.f64 (log.f64 (.f64 a b))))
(exp.f64 (log.f64 (*.f64 a b)))
(exp.f64 (+.f64 (log.f64 a) (log.f64 b)))
a
(fabs.f64 a)
(+.f64 (cosh.f64 (log.f64 a)) (sinh.f64 (log.f64 a)))
(exp.f64 (log.f64 a))
b
(fabs.f64 b)
(+.f64 (cosh.f64 (log.f64 b)) (sinh.f64 (log.f64 b)))
(exp.f64 (log.f64 b))
(*.f64 a b)
(*.f64 b a)
(fabs.f64 (*.f64 a b))
(+.f64 (cosh.f64 (log.f64 (.f64 a b))) (sinh.f64 (log.f64 (.f64 a b))))
(exp.f64 (log.f64 (*.f64 a b)))
(exp.f64 (+.f64 (log.f64 a) (log.f64 b)))
a
(fabs.f64 a)
(+.f64 (cosh.f64 (log.f64 a)) (sinh.f64 (log.f64 a)))
(exp.f64 (log.f64 a))
(log.f64 a)
b
(fabs.f64 b)
(+.f64 (cosh.f64 (log.f64 b)) (sinh.f64 (log.f64 b)))
(exp.f64 (log.f64 b))
(log.f64 b)

eval3.0ms (0.1%)

Memory: 11.1MiB live, 11.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 299 to 123 computations (58.9% saved)

prune1.0ms (0.1%)

Memory

5.9MiB live, 5.9MiB allocated; 0ms collecting garbage

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	30	1	31
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	32	1	33

Accuracy

100.0%

Counts

33 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 3 to 3 computations (0% saved)

series100.0ms (4.5%)

Memory

-45.8MiB live, 98.3MiB allocated; 11ms collecting garbage

Counts

3 → 3

Calls

Call 1

Inputs
(*.f64 b a)
b
a

Outputs
#s(approx (* b a) (*.f64 a b))
#s(approx a a)
#s(approx b b)

Calls

6 calls:

Time	Variable	Point
2.0ms	a	inf
1.0ms	a	-inf
1.0ms	b	-inf
0.0ms	b	inf
0.0ms	a	0

rewrite149.0ms (6.7%)

Memory

29.3MiB live, 213.8MiB allocated; 15ms collecting garbage

Counts

3 → 4

Calls

Call 1

Inputs
(*.f64 b a)
b
a

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

eval0.0ms (0%)

Memory: 1.2MiB live, 1.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 20 to 9 computations (55% saved)

prune1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated; 0ms collecting garbage

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	4	0	4
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	4	1	5

Accuracy

100.0%

Counts

5 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 3 to 3 computations (0% saved)

regimes17.0ms (0.8%)

Memory

-12.3MiB live, 34.5MiB allocated; 2ms collecting garbage

Accuracy

Total -5.2b remaining (-∞%)

Threshold costs -5.2b (-∞%)

Counts

4 → 1

Calls

Call 1

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

Outputs
(*.f64 b a)

Calls

6 calls:

4.0ms	(log.f64 a)
3.0ms	(+.f64 (log.f64 a) (log.f64 b))
3.0ms	(log.f64 b)
2.0ms	(exp.f64 (+.f64 (log.f64 a) (log.f64 b)))
2.0ms	a

Results

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

Compiler

Compiled 38 to 34 computations (10.5% saved)

derivations0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 3 to 3 computations (0% saved)

preprocess66.0ms (3%)

Memory

32.7MiB live, 126.9MiB allocated; 37ms collecting garbage

Remove

(sort a b)

(negabs b)

(negabs a)

(abs b)

(abs a)

Compiler

Compiled 42 to 42 computations (0% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze1.0ms (0%)

sample894.0ms (40.3%)

preprocess95.0ms (4.3%)

series261.0ms (11.7%)

rewrite176.0ms (7.9%)

eval3.0ms (0.1%)

prune2.0ms (0.1%)

series248.0ms (11.2%)

rewrite201.0ms (9.1%)

eval3.0ms (0.1%)

prune1.0ms (0.1%)

series100.0ms (4.5%)

rewrite149.0ms (6.7%)

eval0.0ms (0%)

prune1.0ms (0%)

regimes17.0ms (0.8%)

derivations0.0ms (0%)

preprocess66.0ms (3%)

end0.0ms (0%)

Profiling