Metrics for Exp of sum of logs

start0.0ms (0%)

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

analyze1.0ms (0.1%)

Memory

0.7MiB live, 0.7MiB 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)

sample713.0ms (68.9%)

Memory

-18.9MiB live, 656.4MiB allocated; 152ms collecting garbage

Samples

519.0ms	8 244×	0	valid
2.0ms	12×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 360.0ms

ival-log: 253.0ms (70.3% of total)

ival-exp: 83.0ms (23.1% of total)

ival-add!: 22.0ms (6.1% of total)

adjust: 2.0ms (0.6% of total)

Bogosity

preprocess56.0ms (5.4%)

Memory

30.6MiB live, 30.6MiB allocated; 0ms 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
▶	92.4%	(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)

series147.0ms (14.2%)

Memory

-26.3MiB live, 114.1MiB allocated; 18ms 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))) #s(hole binary64 (exp (+ (log a) (log b)))))
#s(approx (+ (log a) (log b)) #s(hole binary64 (+ (log a) (log b))))
#s(approx (log a) #s(hole binary64 (log a)))
#s(approx a #s(hole binary64 a))
#s(approx (exp (+ (log a) (log b))) #s(hole binary64 (exp (+ (log b) (* -1 (log (/ 1 a)))))))
#s(approx (+ (log a) (log b)) #s(hole binary64 (+ (log b) (* -1 (log (/ 1 a))))))
#s(approx (log a) #s(hole binary64 (* -1 (log (/ 1 a)))))
#s(approx (log b) #s(hole binary64 (log b)))
#s(approx b #s(hole binary64 b))
#s(approx (exp (+ (log a) (log b))) #s(hole binary64 (exp (+ (log a) (* -1 (log (/ 1 b)))))))
#s(approx (+ (log a) (log b)) #s(hole binary64 (+ (log a) (* -1 (log (/ 1 b))))))
#s(approx (log b) #s(hole binary64 (* -1 (log (/ 1 b)))))

Calls

6 calls:

Time	Variable		Point	Expression
61.0ms	a	@	0	((exp (+ (log a) (log b))) (+ (log a) (log b)) (log a) a (log b) b)
24.0ms	b	@	-inf	((exp (+ (log a) (log b))) (+ (log a) (log b)) (log a) a (log b) b)
18.0ms	b	@	0	((exp (+ (log a) (log b))) (+ (log a) (log b)) (log a) a (log b) b)
18.0ms	a	@	-inf	((exp (+ (log a) (log b))) (+ (log a) (log b)) (log a) a (log b) b)
12.0ms	b	@	inf	((exp (+ (log a) (log b))) (+ (log a) (log b)) (log a) a (log b) b)

rewrite49.0ms (4.8%)

Memory

28.2MiB live, 28.2MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	139
0	38	101
1	143	87
0	1284	87

Stop Event

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

Counts

18 → 79

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
#s(approx (exp (+ (log a) (log b))) #s(hole binary64 (exp (+ (log a) (log b)))))
#s(approx (+ (log a) (log b)) #s(hole binary64 (+ (log a) (log b))))
#s(approx (log a) #s(hole binary64 (log a)))
#s(approx a #s(hole binary64 a))
#s(approx (exp (+ (log a) (log b))) #s(hole binary64 (exp (+ (log b) (* -1 (log (/ 1 a)))))))
#s(approx (+ (log a) (log b)) #s(hole binary64 (+ (log b) (* -1 (log (/ 1 a))))))
#s(approx (log a) #s(hole binary64 (* -1 (log (/ 1 a)))))
#s(approx (log b) #s(hole binary64 (log b)))
#s(approx b #s(hole binary64 b))
#s(approx (exp (+ (log a) (log b))) #s(hole binary64 (exp (+ (log a) (* -1 (log (/ 1 b)))))))
#s(approx (+ (log a) (log b)) #s(hole binary64 (+ (log a) (* -1 (log (/ 1 b))))))
#s(approx (log b) #s(hole binary64 (* -1 (log (/ 1 b)))))

Outputs
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (log.f64 (.f64 b a))) (cosh.f64 (log.f64 (.f64 b a))))) (cosh.f64 (log.f64 (.f64 b a))))
(*.f64 b a)
(*.f64 a b)
(pow.f64 (exp.f64 (+.f64 (/.f64 (log.f64 b) (log.f64 a)) #s(literal 1 binary64))) (log.f64 a))
(pow.f64 (exp.f64 (+.f64 (/.f64 (log.f64 a) (log.f64 b)) #s(literal 1 binary64))) (log.f64 b))
(/.f64 (-.f64 (.f64 (cosh.f64 (log.f64 (.f64 b a))) (cosh.f64 (log.f64 (.f64 b a)))) (.f64 (sinh.f64 (log.f64 (.f64 b a))) (sinh.f64 (log.f64 (.f64 b a))))) (-.f64 (cosh.f64 (log.f64 (.f64 b a))) (sinh.f64 (log.f64 (.f64 b a)))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (.f64 b a))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 (.f64 b a))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (log.f64 (.f64 b a))) (cosh.f64 (log.f64 (.f64 b a))) (-.f64 (.f64 (sinh.f64 (log.f64 (.f64 b a))) (sinh.f64 (log.f64 (.f64 b a)))) (.f64 (cosh.f64 (log.f64 (.f64 b a))) (sinh.f64 (log.f64 (.f64 b a)))))))
(/.f64 b (/.f64 #s(literal 1 binary64) a))
(/.f64 a (/.f64 #s(literal 1 binary64) b))
(sqrt.f64 (.f64 (.f64 b a) (*.f64 b a)))
(-.f64 (cosh.f64 (log.f64 (.f64 b a))) (neg.f64 (sinh.f64 (log.f64 (.f64 b a)))))
(fabs.f64 (neg.f64 (*.f64 b a)))
(fabs.f64 (*.f64 b a))
(exp.f64 (log.f64 (*.f64 b a)))
(+.f64 (sinh.f64 (log.f64 (.f64 b a))) (cosh.f64 (log.f64 (.f64 b a))))
(+.f64 (cosh.f64 (log.f64 (.f64 b a))) (sinh.f64 (log.f64 (.f64 b a))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (log.f64 a)) (log.f64 b))) (log.f64 b))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (log.f64 b)) (log.f64 a))) (log.f64 a))
(.f64 (.f64 (log.f64 (*.f64 b a)) (log.f64 (/.f64 b a))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 b a))))
(*.f64 (+.f64 (/.f64 (log.f64 a) (log.f64 b)) #s(literal 1 binary64)) (log.f64 b))
(*.f64 (+.f64 (/.f64 (log.f64 b) (log.f64 a)) #s(literal 1 binary64)) (log.f64 a))
(.f64 (.f64 (log.f64 (*.f64 b a)) (log.f64 (/.f64 a b))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 a b))))
(.f64 (+.f64 (pow.f64 (log.f64 b) #s(literal 3 binary64)) (pow.f64 (log.f64 a) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 b) (log.f64 b) (.f64 (log.f64 a) (log.f64 (/.f64 a b))))))
(.f64 (+.f64 (pow.f64 (log.f64 b) #s(literal 3 binary64)) (pow.f64 (log.f64 a) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 b) (log.f64 (/.f64 b a)) (.f64 (log.f64 a) (log.f64 a)))))
(*.f64 (log.f64 b) (+.f64 (/.f64 (log.f64 a) (log.f64 b)) #s(literal 1 binary64)))
(*.f64 (log.f64 a) (+.f64 (/.f64 (log.f64 b) (log.f64 a)) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (log.f64 b) #s(literal 3 binary64)) (pow.f64 (neg.f64 (log.f64 a)) #s(literal 3 binary64))) (fma.f64 (log.f64 b) (log.f64 b) (fma.f64 (log.f64 a) (log.f64 a) (*.f64 (log.f64 b) (neg.f64 (log.f64 a))))))
(/.f64 (-.f64 (pow.f64 (log.f64 a) #s(literal 3 binary64)) (pow.f64 (neg.f64 (log.f64 b)) #s(literal 3 binary64))) (fma.f64 (log.f64 a) (log.f64 a) (fma.f64 (log.f64 b) (log.f64 b) (*.f64 (log.f64 a) (neg.f64 (log.f64 b))))))
(/.f64 (.f64 (log.f64 (.f64 b a)) (log.f64 (/.f64 b a))) (log.f64 (/.f64 b a)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 b) #s(literal 3 binary64)) (pow.f64 (log.f64 a) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log.f64 b) (log.f64 b) (*.f64 (log.f64 a) (log.f64 (/.f64 a b))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 b) #s(literal 3 binary64)) (pow.f64 (log.f64 a) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log.f64 b) (log.f64 (/.f64 b a)) (*.f64 (log.f64 a) (log.f64 a)))))
(/.f64 (.f64 (log.f64 (.f64 b a)) (log.f64 (/.f64 a b))) (log.f64 (/.f64 a b)))
(/.f64 (+.f64 (pow.f64 (log.f64 b) #s(literal 3 binary64)) (pow.f64 (log.f64 a) #s(literal 3 binary64))) (fma.f64 (log.f64 b) (log.f64 b) (*.f64 (log.f64 a) (log.f64 (/.f64 a b)))))
(/.f64 (+.f64 (pow.f64 (log.f64 b) #s(literal 3 binary64)) (pow.f64 (log.f64 a) #s(literal 3 binary64))) (fma.f64 (log.f64 b) (log.f64 (/.f64 b a)) (*.f64 (log.f64 a) (log.f64 a))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (/.f64 b a)) (.f64 (log.f64 (.f64 b a)) (log.f64 (/.f64 b a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (log.f64 b) (log.f64 b) (*.f64 (log.f64 a) (log.f64 (/.f64 a b)))) (+.f64 (pow.f64 (log.f64 b) #s(literal 3 binary64)) (pow.f64 (log.f64 a) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (log.f64 b) (log.f64 (/.f64 b a)) (*.f64 (log.f64 a) (log.f64 a))) (+.f64 (pow.f64 (log.f64 b) #s(literal 3 binary64)) (pow.f64 (log.f64 a) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (/.f64 a b)) (.f64 (log.f64 (.f64 b a)) (log.f64 (/.f64 a b)))))
(neg.f64 (-.f64 (neg.f64 (log.f64 a)) (log.f64 b)))
(neg.f64 (-.f64 (neg.f64 (log.f64 b)) (log.f64 a)))
(fma.f64 (neg.f64 (log.f64 a)) #s(literal -1 binary64) (log.f64 b))
(fma.f64 (neg.f64 (log.f64 b)) #s(literal -1 binary64) (log.f64 a))
(fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 a)) (log.f64 b))
(fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 b)) (log.f64 a))
(-.f64 (/.f64 (.f64 (log.f64 b) (log.f64 b)) (log.f64 (/.f64 b a))) (/.f64 (.f64 (log.f64 a) (log.f64 a)) (log.f64 (/.f64 b a))))
(-.f64 (/.f64 (.f64 (log.f64 a) (log.f64 a)) (log.f64 (/.f64 a b))) (/.f64 (.f64 (log.f64 b) (log.f64 b)) (log.f64 (/.f64 a b))))
(-.f64 (log.f64 b) (neg.f64 (log.f64 a)))
(-.f64 (log.f64 a) (neg.f64 (log.f64 b)))
(+.f64 (/.f64 (pow.f64 (log.f64 b) #s(literal 3 binary64)) (fma.f64 (log.f64 b) (log.f64 b) (.f64 (log.f64 a) (log.f64 (/.f64 a b))))) (/.f64 (pow.f64 (log.f64 a) #s(literal 3 binary64)) (fma.f64 (log.f64 b) (log.f64 b) (.f64 (log.f64 a) (log.f64 (/.f64 a b))))))
(+.f64 (/.f64 (pow.f64 (log.f64 a) #s(literal 3 binary64)) (fma.f64 (log.f64 b) (log.f64 (/.f64 b a)) (.f64 (log.f64 a) (log.f64 a)))) (/.f64 (pow.f64 (log.f64 b) #s(literal 3 binary64)) (fma.f64 (log.f64 b) (log.f64 (/.f64 b a)) (.f64 (log.f64 a) (log.f64 a)))))
(+.f64 (log.f64 b) (log.f64 a))
(+.f64 (log.f64 a) (log.f64 b))
(log.f64 (pow.f64 b (+.f64 (/.f64 (log.f64 a) (log.f64 b)) #s(literal 1 binary64))))
(log.f64 (pow.f64 a (+.f64 (/.f64 (log.f64 b) (log.f64 a)) #s(literal 1 binary64))))
(log.f64 (*.f64 b a))
(*.f64 (neg.f64 (log.f64 a)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 a)))
(neg.f64 (neg.f64 (log.f64 a)))
(-.f64 (log.f64 a) #s(literal 0 binary64))
(log.f64 a)
a
(*.f64 (neg.f64 (log.f64 b)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 b)))
(neg.f64 (neg.f64 (log.f64 b)))
(-.f64 (log.f64 b) #s(literal 0 binary64))
(log.f64 b)
b
#s(approx (exp (+ (log a) (log b))) (*.f64 b a))
#s(approx (+ (log a) (log b)) (log.f64 (*.f64 b a)))
#s(approx (log a) (log.f64 a))
#s(approx a a)
#s(approx (exp (+ (log a) (log b))) (*.f64 b a))
#s(approx (+ (log a) (log b)) (log.f64 (*.f64 b a)))
#s(approx (log a) (log.f64 a))
#s(approx (log b) (log.f64 b))
#s(approx b b)
#s(approx (exp (+ (log a) (log b))) (*.f64 b a))
#s(approx (+ (log a) (log b)) (log.f64 (*.f64 b a)))
#s(approx (log b) (log.f64 b))

eval7.0ms (0.6%)

Memory: 11.6MiB live, 11.6MiB allocated; 0ms collecting garbage
Compiler: Compiled 591 to 222 computations (62.4% saved)

prune6.0ms (0.6%)

Memory

-40.2MiB live, 5.5MiB allocated; 3ms collecting garbage

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	67	1	68
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	68	1	69

Accuracy

100.0%

Counts

69 → 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)

series3.0ms (0.3%)

Memory

4.2MiB live, 4.2MiB allocated; 0ms collecting garbage

Counts

3 → 3

Calls

Call 1

Inputs
(*.f64 b a)
b
a

Outputs
#s(approx (* b a) #s(hole binary64 (* a b)))
#s(approx a #s(hole binary64 a))
#s(approx b #s(hole binary64 b))

Calls

6 calls:

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

rewrite7.0ms (0.6%)

Memory

6.8MiB live, 6.8MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	18
0	8	18
1	9	18
0	9	18

Stop Event

1×	iter-limit
1×	saturated
1×	iter-limit

Counts

6 → 7

Calls

Call 1

Inputs
(*.f64 b a)
b
a
#s(approx (* b a) #s(hole binary64 (* a b)))
#s(approx a #s(hole binary64 a))
#s(approx b #s(hole binary64 b))

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

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 10 to 9 computations (10% saved)

prune1.0ms (0.1%)

Memory

1.5MiB live, 1.5MiB 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 10 to 10 computations (0% saved)

regimes7.0ms (0.7%)

Memory

15.6MiB live, 15.6MiB allocated; 0ms collecting garbage

Accuracy

Total -4.9b remaining (-∞%)

Threshold costs -4.9b (-∞%)

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:

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

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 17 to 21 computations (-23.5% saved)

derivations3.0ms (0.3%)

Memory

3.2MiB live, 3.2MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 3 to 3 computations (0% saved)

preprocess35.0ms (3.4%)

Memory

1.8MiB live, 48.6MiB allocated; 2ms 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 (0.1%)

sample713.0ms (68.9%)

preprocess56.0ms (5.4%)

series147.0ms (14.2%)

rewrite49.0ms (4.8%)

eval7.0ms (0.6%)

prune6.0ms (0.6%)

series3.0ms (0.3%)

rewrite7.0ms (0.6%)

eval0.0ms (0%)

prune1.0ms (0.1%)

regimes7.0ms (0.7%)

derivations3.0ms (0.3%)

preprocess35.0ms (3.4%)

end0.0ms (0%)

Profiling