Exp of sum of logs

Time bar (total: 2.3s)

start0.0ms (0%)

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

analyze1.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
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)

sample945.0ms (41.2%)

Memory
18.9MiB live, 1 280.0MiB allocated; 301ms collecting garbage
Samples
670.0ms8 247×0valid
1.0ms1valid
Precisions
Click to see histograms. Total time spent on operations: 376.0ms
ival-log: 256.0ms (68% of total)
ival-exp: 96.0ms (25.5% of total)
ival-add!: 23.0ms (6.1% of total)
adjust: 2.0ms (0.5% of total)
Bogosity

preprocess64.0ms (2.8%)

Memory
18.6MiB live, 64.4MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01830
16818
233218
38376
Stop Event
iter-limit
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
92.1%
(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)

series182.0ms (7.9%)

Memory
32.9MiB live, 208.9MiB allocated; 35ms collecting garbage
Counts
6 → 18
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 (exp (+ (log a) (log b))) #s(hole binary64 (exp (+ (log -1) (+ (log b) (* -1 (log (/ -1 a))))))))
#s(approx (+ (log a) (log b)) #s(hole binary64 (+ (log -1) (+ (log b) (* -1 (log (/ -1 a)))))))
#s(approx (log a) #s(hole binary64 (+ (log -1) (* -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)))))
#s(approx (exp (+ (log a) (log b))) #s(hole binary64 (exp (+ (log -1) (+ (log a) (* -1 (log (/ -1 b))))))))
#s(approx (+ (log a) (log b)) #s(hole binary64 (+ (log -1) (+ (log a) (* -1 (log (/ -1 b)))))))
#s(approx (log b) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 b))))))
Calls

6 calls:

TimeVariablePointExpression
66.0ms
a
@inf
((exp (+ (log a) (log b))) (+ (log a) (log b)) (log a) a (log b) b)
48.0ms
a
@0
((exp (+ (log a) (log b))) (+ (log a) (log b)) (log a) a (log b) b)
23.0ms
b
@0
((exp (+ (log a) (log b))) (+ (log a) (log b)) (log a) a (log b) b)
17.0ms
a
@-inf
((exp (+ (log a) (log b))) (+ (log a) (log b)) (log a) a (log b) b)
15.0ms
b
@inf
((exp (+ (log a) (log b))) (+ (log a) (log b)) (log a) a (log b) b)

rewrite47.0ms (2%)

Memory
-39.5MiB live, 62.5MiB allocated; 15ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055239
059201
0299201
1752201
Stop Event
iter-limit
iter-limit
iter-limit
unsound
iter-limit
Counts
24 → 34
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 (exp (+ (log a) (log b))) #s(hole binary64 (exp (+ (log -1) (+ (log b) (* -1 (log (/ -1 a))))))))
#s(approx (+ (log a) (log b)) #s(hole binary64 (+ (log -1) (+ (log b) (* -1 (log (/ -1 a)))))))
#s(approx (log a) #s(hole binary64 (+ (log -1) (* -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)))))
#s(approx (exp (+ (log a) (log b))) #s(hole binary64 (exp (+ (log -1) (+ (log a) (* -1 (log (/ -1 b))))))))
#s(approx (+ (log a) (log b)) #s(hole binary64 (+ (log -1) (+ (log a) (* -1 (log (/ -1 b)))))))
#s(approx (log b) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 b))))))
Outputs
(*.f64 (exp.f64 (log.f64 a)) (exp.f64 (log.f64 b)))
(fabs.f64 (exp.f64 (log.f64 (*.f64 a b))))
(exp.f64 (log.f64 (*.f64 a b)))
(+.f64 (cosh.f64 (log.f64 (*.f64 a b))) (sinh.f64 (log.f64 (*.f64 a b))))
(/.f64 (-.f64 (*.f64 (log.f64 a) (log.f64 a)) (*.f64 (log.f64 b) (log.f64 b))) (-.f64 (log.f64 a) (log.f64 b)))
(/.f64 (+.f64 (pow.f64 (log.f64 a) #s(literal 3 binary64)) (pow.f64 (log.f64 b) #s(literal 3 binary64))) (fma.f64 (log.f64 a) (log.f64 a) (-.f64 (*.f64 (log.f64 b) (log.f64 b)) (*.f64 (log.f64 a) (log.f64 b)))))
(-.f64 (log.f64 a) (neg.f64 (log.f64 b)))
(+.f64 (log.f64 b) (log.f64 a))
(+.f64 (log.f64 a) (log.f64 b))
(log.f64 (*.f64 a b))
(log.f64 (fabs.f64 a))
(log.f64 a)
a
(log.f64 (fabs.f64 b))
(log.f64 b)
b
#s(approx (exp (+ (log a) (log b))) (exp.f64 (log.f64 (*.f64 a b))))
#s(approx (+ (log a) (log b)) (log.f64 (*.f64 a b)))
#s(approx (log a) (log.f64 a))
#s(approx a a)
#s(approx (exp (+ (log a) (log b))) (exp.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 a))) (log.f64 b))))
#s(approx (+ (log a) (log b)) (+.f64 (neg.f64 (neg.f64 (log.f64 a))) (log.f64 b)))
#s(approx (log a) (neg.f64 (neg.f64 (log.f64 a))))
#s(approx (exp (+ (log a) (log b))) (exp.f64 (+.f64 (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) a))) (log.f64 b)) #s(literal 0 binary64))))
#s(approx (+ (log a) (log b)) (+.f64 (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) a))) (log.f64 b)) #s(literal 0 binary64)))
#s(approx (log a) (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) a))) #s(literal 0 binary64)))
#s(approx (log b) (log.f64 b))
#s(approx b b)
#s(approx (exp (+ (log a) (log b))) (exp.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 b))) (log.f64 a))))
#s(approx (+ (log a) (log b)) (+.f64 (neg.f64 (neg.f64 (log.f64 b))) (log.f64 a)))
#s(approx (log b) (neg.f64 (neg.f64 (log.f64 b))))
#s(approx (exp (+ (log a) (log b))) (exp.f64 (+.f64 (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) b))) (log.f64 a)) #s(literal 0 binary64))))
#s(approx (+ (log a) (log b)) (+.f64 (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) b))) (log.f64 a)) #s(literal 0 binary64)))
#s(approx (log b) (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) b))) #s(literal 0 binary64)))

eval3.0ms (0.1%)

Memory
5.8MiB live, 5.9MiB allocated; 0ms collecting garbage
Compiler

Compiled 226 to 110 computations (51.3% saved)

prune1.0ms (0.1%)

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

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New27229
Fresh000
Picked101
Done000
Total28230
Accuracy
94.0%
Counts
30 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
92.6%
(*.f64 (exp.f64 (log.f64 a)) (exp.f64 (log.f64 b)))
93.4%
(exp.f64 (log.f64 (*.f64 a b)))
Compiler

Compiled 12 to 12 computations (0% saved)

series831.0ms (36.2%)

Memory
-227.1MiB live, 295.6MiB allocated; 1.2s collecting garbage
Counts
10 → 14
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))) #s(hole binary64 (* a b)))
#s(approx (log (* a b)) #s(hole binary64 (+ (log a) (log b))))
#s(approx a #s(hole binary64 a))
#s(approx (log a) #s(hole binary64 (log a)))
#s(approx (log (* a b)) #s(hole binary64 (+ (log b) (* -1 (log (/ 1 a))))))
#s(approx (log a) #s(hole binary64 (* -1 (log (/ 1 a)))))
#s(approx (log (* a b)) #s(hole binary64 (+ (log (* -1 b)) (* -1 (log (/ -1 a))))))
#s(approx (log a) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 a))))))
#s(approx b #s(hole binary64 b))
#s(approx (log b) #s(hole binary64 (log b)))
#s(approx (log (* a b)) #s(hole binary64 (+ (log a) (* -1 (log (/ 1 b))))))
#s(approx (log b) #s(hole binary64 (* -1 (log (/ 1 b)))))
#s(approx (log (* a b)) #s(hole binary64 (+ (log (* -1 a)) (* -1 (log (/ -1 b))))))
#s(approx (log b) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 b))))))
Calls

6 calls:

TimeVariablePointExpression
712.0ms
b
@0
((exp (log (* a b))) (log (* a b)) (* a b) a b (* (exp (log a)) (exp (log b))) (exp (log a)) (log a) (exp (log b)) (log b))
50.0ms
a
@-inf
((exp (log (* a b))) (log (* a b)) (* a b) a b (* (exp (log a)) (exp (log b))) (exp (log a)) (log a) (exp (log b)) (log b))
22.0ms
b
@-inf
((exp (log (* a b))) (log (* a b)) (* a b) a b (* (exp (log a)) (exp (log b))) (exp (log a)) (log a) (exp (log b)) (log b))
20.0ms
a
@0
((exp (log (* a b))) (log (* a b)) (* a b) a b (* (exp (log a)) (exp (log b))) (exp (log a)) (log a) (exp (log b)) (log b))
14.0ms
a
@inf
((exp (log (* a b))) (log (* a b)) (* a b) a b (* (exp (log a)) (exp (log b))) (exp (log a)) (log a) (exp (log b)) (log b))

rewrite75.0ms (3.3%)

Memory
-19.0MiB live, 26.3MiB allocated; 3ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055168
065139
0274139
1639139
Stop Event
iter-limit
iter-limit
iter-limit
unsound
iter-limit
Counts
24 → 41
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)
#s(approx (exp (log (* a b))) #s(hole binary64 (* a b)))
#s(approx (log (* a b)) #s(hole binary64 (+ (log a) (log b))))
#s(approx a #s(hole binary64 a))
#s(approx (log a) #s(hole binary64 (log a)))
#s(approx (log (* a b)) #s(hole binary64 (+ (log b) (* -1 (log (/ 1 a))))))
#s(approx (log a) #s(hole binary64 (* -1 (log (/ 1 a)))))
#s(approx (log (* a b)) #s(hole binary64 (+ (log (* -1 b)) (* -1 (log (/ -1 a))))))
#s(approx (log a) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 a))))))
#s(approx b #s(hole binary64 b))
#s(approx (log b) #s(hole binary64 (log b)))
#s(approx (log (* a b)) #s(hole binary64 (+ (log a) (* -1 (log (/ 1 b))))))
#s(approx (log b) #s(hole binary64 (* -1 (log (/ 1 b)))))
#s(approx (log (* a b)) #s(hole binary64 (+ (log (* -1 a)) (* -1 (log (/ -1 b))))))
#s(approx (log b) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 b))))))
Outputs
(*.f64 b a)
(*.f64 a b)
(fabs.f64 (*.f64 b a))
(exp.f64 (log.f64 (*.f64 b a)))
(+.f64 (cosh.f64 (log.f64 (*.f64 b a))) (sinh.f64 (log.f64 (*.f64 b a))))
(/.f64 (-.f64 (*.f64 (log.f64 a) (log.f64 a)) (*.f64 (log.f64 b) (log.f64 b))) (-.f64 (log.f64 a) (log.f64 b)))
(/.f64 (+.f64 (pow.f64 (log.f64 a) #s(literal 3 binary64)) (pow.f64 (log.f64 b) #s(literal 3 binary64))) (fma.f64 (log.f64 a) (log.f64 a) (-.f64 (*.f64 (log.f64 b) (log.f64 b)) (*.f64 (log.f64 a) (log.f64 b)))))
(-.f64 (log.f64 a) (neg.f64 (log.f64 b)))
(+.f64 (log.f64 b) (log.f64 a))
(+.f64 (log.f64 a) (log.f64 b))
(log.f64 (*.f64 b a))
(*.f64 b a)
(*.f64 a b)
(fabs.f64 (*.f64 b a))
(exp.f64 (log.f64 (*.f64 b a)))
(+.f64 (cosh.f64 (log.f64 (*.f64 b a))) (sinh.f64 (log.f64 (*.f64 b a))))
a
b
(*.f64 b a)
(*.f64 a b)
(fabs.f64 (*.f64 b a))
(exp.f64 (log.f64 (*.f64 b a)))
(+.f64 (cosh.f64 (log.f64 (*.f64 b a))) (sinh.f64 (log.f64 (*.f64 b a))))
a
(log.f64 a)
b
(log.f64 b)
#s(approx (exp (log (* a b))) (*.f64 b a))
#s(approx (log (* a b)) (log.f64 (*.f64 b a)))
#s(approx a a)
#s(approx (log a) (log.f64 a))
#s(approx (log (* a b)) (+.f64 (neg.f64 (neg.f64 (log.f64 a))) (log.f64 b)))
#s(approx (log a) (neg.f64 (neg.f64 (log.f64 a))))
#s(approx (log (* a b)) (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) a))) (log.f64 (neg.f64 b))))
#s(approx (log a) (+.f64 #s(literal 0 binary64) (neg.f64 (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 (neg.f64 (neg.f64 (log.f64 b))) (log.f64 a)))
#s(approx (log b) (neg.f64 (neg.f64 (log.f64 b))))
#s(approx (log (* a b)) (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) b))) (log.f64 (neg.f64 a))))
#s(approx (log b) (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) b))) #s(literal 0 binary64)))

eval2.0ms (0.1%)

Memory
5.8MiB live, 5.8MiB allocated; 0ms collecting garbage
Compiler

Compiled 173 to 105 computations (39.3% saved)

prune1.0ms (0%)

Memory
2.8MiB live, 2.8MiB allocated; 0ms collecting garbage
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New26127
Fresh000
Picked202
Done000
Total28129
Accuracy
100.0%
Counts
29 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 b a)
Compiler

Compiled 3 to 3 computations (0% saved)

series2.0ms (0.1%)

Memory
6.6MiB live, 6.6MiB 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:

TimeVariablePointExpression
1.0ms
a
@-inf
((* b a) b a)
0.0ms
b
@-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 (0.3%)

Memory
3.8MiB live, 3.8MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0818
0818
1918
0918
11218
Stop Event
saturated
saturated
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
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Compiler

Compiled 10 to 9 computations (10% saved)

prune1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated; 0ms collecting garbage
Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New404
Fresh000
Picked011
Done000
Total415
Accuracy
100.0%
Counts
5 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 b a)
Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes10.0ms (0.4%)

Memory
13.9MiB live, 13.9MiB allocated; 0ms 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:

2.0ms
(+.f64 (log.f64 a) (log.f64 b))
2.0ms
b
2.0ms
(log.f64 b)
2.0ms
a
2.0ms
(log.f64 a)
Results
AccuracySegmentsBranch
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%1a
100.0%1b
Compiler

Compiled 17 to 21 computations (-23.5% saved)

derivations2.0ms (0.1%)

Memory
2.0MiB live, 2.0MiB allocated; 0ms collecting garbage
Stop Event
done
Compiler

Compiled 3 to 3 computations (0% saved)

preprocess119.0ms (5.2%)

Memory
-34.9MiB live, 60.7MiB allocated; 18ms 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

Profiling

Loading profile data...