Exp of sum of logs

Time bar (total: 2.3s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze1.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
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)

sample1.1s (49.5%)

Memory
39.4MiB live, 1 372.7MiB allocated
Samples
884.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 568.0ms
ival-log: 273.0ms (48% of total)
ival-exp: 244.0ms (42.9% of total)
ival-add: 42.0ms (7.4% of total)
ival-true: 6.0ms (1.1% of total)
ival-assert: 3.0ms (0.5% of total)
Bogosity

explain122.0ms (5.2%)

Memory
-24.5MiB live, 60.4MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
14819(4.642261456176387e-158 2.6863150259340476e+72)8(2.703937167162331e-27 6.237348602404031e+47)(exp.f64 (+.f64 (log.f64 a) (log.f64 b)))
50-2(3.692223925550949e+246 3.5057200410529696e-253)(+.f64 (log.f64 a) (log.f64 b))
00-0-a
00-0-b
00-0-(log.f64 a)
00-0-(log.f64 b)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
exp.f64(exp.f64 (+.f64 (log.f64 a) (log.f64 b)))sensitivity15919
+.f64(+.f64 (log.f64 a) (log.f64 b))cancellation31
Confusion
Predicted +Predicted -
+15132
-1162
Precision
0.9320987654320988
Recall
0.825136612021858
Confusion?
Predicted +Predicted MaybePredicted -
+1511913
-11161
Precision?
0.9340659340659341
Recall?
0.9289617486338798
Freqs
test
numberfreq
094
1162
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
34.0ms512×0valid
Compiler

Compiled 44 to 22 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-log: 12.0ms (57.7% of total)
ival-exp: 5.0ms (24% of total)
ival-add: 2.0ms (9.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess18.0ms (0.8%)

Memory
14.1MiB live, 14.1MiB allocated
Algorithm
egg-herbie
Rules
28×distribute-lft-neg-in
18×neg-sub0
16×neg-mul-1
14×distribute-neg-in
14×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01638
13623
27017
311117
416417
517017
066
0106
1143
2193
0193
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(exp.f64 (+.f64 (log.f64 a) (log.f64 b)))
Outputs
(exp.f64 (+.f64 (log.f64 a) (log.f64 b)))
(*.f64 b a)
Symmetry

(negabs b)

(negabs a)

(sort a b)

Compiler

Compiled 6 to 6 computations (0% saved)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
92.1%
(exp.f64 (+.f64 (log.f64 a) (log.f64 b)))
Compiler

Compiled 6 to 6 computations (0% saved)

simplify4.0ms (0.2%)

Memory
1.7MiB live, 1.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(log.f64 b)
cost-diff0
(log.f64 a)
cost-diff0
(+.f64 (log.f64 a) (log.f64 b))
cost-diff19072
(exp.f64 (+.f64 (log.f64 a) (log.f64 b)))
Rules
lower-exp.f32
lower-*.f64
lower-exp.f64
lower-*.f32
lift-log.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0617
01017
11414
21914
01914
Stop Event
iter limit
saturated
iter limit
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
(exp.f64 (+.f64 (log.f64 a) (log.f64 b)))
(*.f64 b a)
(+.f64 (log.f64 a) (log.f64 b))
(+.f64 (log.f64 b) (log.f64 a))
(log.f64 a)
a
(log.f64 b)
b

localize22.0ms (0.9%)

Memory
13.7MiB live, 13.7MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(log.f64 b)
accuracy0
(log.f64 a)
accuracy0.6429529427907398
(+.f64 (log.f64 a) (log.f64 b))
accuracy4.030778716519738
(exp.f64 (+.f64 (log.f64 a) (log.f64 b)))
Samples
17.0ms256×0valid
Compiler

Compiled 19 to 8 computations (57.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-log: 6.0ms (58.7% of total)
ival-exp: 3.0ms (29.4% of total)
ival-add: 1.0ms (9.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series278.0ms (12%)

Memory
-30.2MiB live, 164.5MiB allocated
Counts
4 → 72
Calls
Call 1
Inputs
#s(alt (exp.f64 (+.f64 (log.f64 a) (log.f64 b))) (patch (exp.f64 (+.f64 (log.f64 a) (log.f64 b))) #<representation binary64>) () ())
#s(alt (+.f64 (log.f64 a) (log.f64 b)) (patch (+.f64 (log.f64 a) (log.f64 b)) #<representation binary64>) () ())
#s(alt (log.f64 a) (patch (log.f64 a) #<representation binary64>) () ())
#s(alt (log.f64 b) (patch (log.f64 b) #<representation binary64>) () ())
Outputs
#s(alt (exp (+ (log a) (log b))) (taylor 0 b) (#s(alt (exp.f64 (+.f64 (log.f64 a) (log.f64 b))) (patch (exp.f64 (+.f64 (log.f64 a) (log.f64 b))) #<representation binary64>) () ())) ())
#s(alt (exp (+ (log a) (log b))) (taylor 0 b) (#s(alt (exp.f64 (+.f64 (log.f64 a) (log.f64 b))) (patch (exp.f64 (+.f64 (log.f64 a) (log.f64 b))) #<representation binary64>) () ())) ())
#s(alt (exp (+ (log a) (log b))) (taylor 0 b) (#s(alt (exp.f64 (+.f64 (log.f64 a) (log.f64 b))) (patch (exp.f64 (+.f64 (log.f64 a) (log.f64 b))) #<representation binary64>) () ())) ())
#s(alt (exp (+ (log a) (log b))) (taylor 0 b) (#s(alt (exp.f64 (+.f64 (log.f64 a) (log.f64 b))) (patch (exp.f64 (+.f64 (log.f64 a) (log.f64 b))) #<representation binary64>) () ())) ())
#s(alt (+ (log a) (log b)) (taylor 0 b) (#s(alt (+.f64 (log.f64 a) (log.f64 b)) (patch (+.f64 (log.f64 a) (log.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ (log a) (log b)) (taylor 0 b) (#s(alt (+.f64 (log.f64 a) (log.f64 b)) (patch (+.f64 (log.f64 a) (log.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ (log a) (log b)) (taylor 0 b) (#s(alt (+.f64 (log.f64 a) (log.f64 b)) (patch (+.f64 (log.f64 a) (log.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ (log a) (log b)) (taylor 0 b) (#s(alt (+.f64 (log.f64 a) (log.f64 b)) (patch (+.f64 (log.f64 a) (log.f64 b)) #<representation binary64>) () ())) ())
#s(alt (log b) (taylor 0 b) (#s(alt (log.f64 b) (patch (log.f64 b) #<representation binary64>) () ())) ())
#s(alt (log b) (taylor 0 b) (#s(alt (log.f64 b) (patch (log.f64 b) #<representation binary64>) () ())) ())
#s(alt (log b) (taylor 0 b) (#s(alt (log.f64 b) (patch (log.f64 b) #<representation binary64>) () ())) ())
#s(alt (log b) (taylor 0 b) (#s(alt (log.f64 b) (patch (log.f64 b) #<representation binary64>) () ())) ())
#s(alt (exp (+ (log a) (* -1 (log (/ 1 b))))) (taylor inf b) (#s(alt (exp.f64 (+.f64 (log.f64 a) (log.f64 b))) (patch (exp.f64 (+.f64 (log.f64 a) (log.f64 b))) #<representation binary64>) () ())) ())
#s(alt (exp (+ (log a) (* -1 (log (/ 1 b))))) (taylor inf b) (#s(alt (exp.f64 (+.f64 (log.f64 a) (log.f64 b))) (patch (exp.f64 (+.f64 (log.f64 a) (log.f64 b))) #<representation binary64>) () ())) ())
#s(alt (exp (+ (log a) (* -1 (log (/ 1 b))))) (taylor inf b) (#s(alt (exp.f64 (+.f64 (log.f64 a) (log.f64 b))) (patch (exp.f64 (+.f64 (log.f64 a) (log.f64 b))) #<representation binary64>) () ())) ())
#s(alt (exp (+ (log a) (* -1 (log (/ 1 b))))) (taylor inf b) (#s(alt (exp.f64 (+.f64 (log.f64 a) (log.f64 b))) (patch (exp.f64 (+.f64 (log.f64 a) (log.f64 b))) #<representation binary64>) () ())) ())
#s(alt (+ (log a) (* -1 (log (/ 1 b)))) (taylor inf b) (#s(alt (+.f64 (log.f64 a) (log.f64 b)) (patch (+.f64 (log.f64 a) (log.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ (log a) (* -1 (log (/ 1 b)))) (taylor inf b) (#s(alt (+.f64 (log.f64 a) (log.f64 b)) (patch (+.f64 (log.f64 a) (log.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ (log a) (* -1 (log (/ 1 b)))) (taylor inf b) (#s(alt (+.f64 (log.f64 a) (log.f64 b)) (patch (+.f64 (log.f64 a) (log.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ (log a) (* -1 (log (/ 1 b)))) (taylor inf b) (#s(alt (+.f64 (log.f64 a) (log.f64 b)) (patch (+.f64 (log.f64 a) (log.f64 b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (/ 1 b))) (taylor inf b) (#s(alt (log.f64 b) (patch (log.f64 b) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (/ 1 b))) (taylor inf b) (#s(alt (log.f64 b) (patch (log.f64 b) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (/ 1 b))) (taylor inf b) (#s(alt (log.f64 b) (patch (log.f64 b) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (/ 1 b))) (taylor inf b) (#s(alt (log.f64 b) (patch (log.f64 b) #<representation binary64>) () ())) ())
#s(alt (exp (+ (log -1) (+ (log a) (* -1 (log (/ -1 b)))))) (taylor -inf b) (#s(alt (exp.f64 (+.f64 (log.f64 a) (log.f64 b))) (patch (exp.f64 (+.f64 (log.f64 a) (log.f64 b))) #<representation binary64>) () ())) ())
#s(alt (exp (+ (log -1) (+ (log a) (* -1 (log (/ -1 b)))))) (taylor -inf b) (#s(alt (exp.f64 (+.f64 (log.f64 a) (log.f64 b))) (patch (exp.f64 (+.f64 (log.f64 a) (log.f64 b))) #<representation binary64>) () ())) ())
#s(alt (exp (+ (log -1) (+ (log a) (* -1 (log (/ -1 b)))))) (taylor -inf b) (#s(alt (exp.f64 (+.f64 (log.f64 a) (log.f64 b))) (patch (exp.f64 (+.f64 (log.f64 a) (log.f64 b))) #<representation binary64>) () ())) ())
#s(alt (exp (+ (log -1) (+ (log a) (* -1 (log (/ -1 b)))))) (taylor -inf b) (#s(alt (exp.f64 (+.f64 (log.f64 a) (log.f64 b))) (patch (exp.f64 (+.f64 (log.f64 a) (log.f64 b))) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (+ (log a) (* -1 (log (/ -1 b))))) (taylor -inf b) (#s(alt (+.f64 (log.f64 a) (log.f64 b)) (patch (+.f64 (log.f64 a) (log.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (+ (log a) (* -1 (log (/ -1 b))))) (taylor -inf b) (#s(alt (+.f64 (log.f64 a) (log.f64 b)) (patch (+.f64 (log.f64 a) (log.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (+ (log a) (* -1 (log (/ -1 b))))) (taylor -inf b) (#s(alt (+.f64 (log.f64 a) (log.f64 b)) (patch (+.f64 (log.f64 a) (log.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (+ (log a) (* -1 (log (/ -1 b))))) (taylor -inf b) (#s(alt (+.f64 (log.f64 a) (log.f64 b)) (patch (+.f64 (log.f64 a) (log.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (* -1 (log (/ -1 b)))) (taylor -inf b) (#s(alt (log.f64 b) (patch (log.f64 b) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (* -1 (log (/ -1 b)))) (taylor -inf b) (#s(alt (log.f64 b) (patch (log.f64 b) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (* -1 (log (/ -1 b)))) (taylor -inf b) (#s(alt (log.f64 b) (patch (log.f64 b) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (* -1 (log (/ -1 b)))) (taylor -inf b) (#s(alt (log.f64 b) (patch (log.f64 b) #<representation binary64>) () ())) ())
#s(alt (exp (+ (log a) (log b))) (taylor 0 a) (#s(alt (exp.f64 (+.f64 (log.f64 a) (log.f64 b))) (patch (exp.f64 (+.f64 (log.f64 a) (log.f64 b))) #<representation binary64>) () ())) ())
#s(alt (exp (+ (log a) (log b))) (taylor 0 a) (#s(alt (exp.f64 (+.f64 (log.f64 a) (log.f64 b))) (patch (exp.f64 (+.f64 (log.f64 a) (log.f64 b))) #<representation binary64>) () ())) ())
#s(alt (exp (+ (log a) (log b))) (taylor 0 a) (#s(alt (exp.f64 (+.f64 (log.f64 a) (log.f64 b))) (patch (exp.f64 (+.f64 (log.f64 a) (log.f64 b))) #<representation binary64>) () ())) ())
#s(alt (exp (+ (log a) (log b))) (taylor 0 a) (#s(alt (exp.f64 (+.f64 (log.f64 a) (log.f64 b))) (patch (exp.f64 (+.f64 (log.f64 a) (log.f64 b))) #<representation binary64>) () ())) ())
#s(alt (+ (log a) (log b)) (taylor 0 a) (#s(alt (+.f64 (log.f64 a) (log.f64 b)) (patch (+.f64 (log.f64 a) (log.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ (log a) (log b)) (taylor 0 a) (#s(alt (+.f64 (log.f64 a) (log.f64 b)) (patch (+.f64 (log.f64 a) (log.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ (log a) (log b)) (taylor 0 a) (#s(alt (+.f64 (log.f64 a) (log.f64 b)) (patch (+.f64 (log.f64 a) (log.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ (log a) (log b)) (taylor 0 a) (#s(alt (+.f64 (log.f64 a) (log.f64 b)) (patch (+.f64 (log.f64 a) (log.f64 b)) #<representation binary64>) () ())) ())
#s(alt (log a) (taylor 0 a) (#s(alt (log.f64 a) (patch (log.f64 a) #<representation binary64>) () ())) ())
#s(alt (log a) (taylor 0 a) (#s(alt (log.f64 a) (patch (log.f64 a) #<representation binary64>) () ())) ())
#s(alt (log a) (taylor 0 a) (#s(alt (log.f64 a) (patch (log.f64 a) #<representation binary64>) () ())) ())
#s(alt (log a) (taylor 0 a) (#s(alt (log.f64 a) (patch (log.f64 a) #<representation binary64>) () ())) ())
#s(alt (exp (+ (log b) (* -1 (log (/ 1 a))))) (taylor inf a) (#s(alt (exp.f64 (+.f64 (log.f64 a) (log.f64 b))) (patch (exp.f64 (+.f64 (log.f64 a) (log.f64 b))) #<representation binary64>) () ())) ())
#s(alt (exp (+ (log b) (* -1 (log (/ 1 a))))) (taylor inf a) (#s(alt (exp.f64 (+.f64 (log.f64 a) (log.f64 b))) (patch (exp.f64 (+.f64 (log.f64 a) (log.f64 b))) #<representation binary64>) () ())) ())
#s(alt (exp (+ (log b) (* -1 (log (/ 1 a))))) (taylor inf a) (#s(alt (exp.f64 (+.f64 (log.f64 a) (log.f64 b))) (patch (exp.f64 (+.f64 (log.f64 a) (log.f64 b))) #<representation binary64>) () ())) ())
#s(alt (exp (+ (log b) (* -1 (log (/ 1 a))))) (taylor inf a) (#s(alt (exp.f64 (+.f64 (log.f64 a) (log.f64 b))) (patch (exp.f64 (+.f64 (log.f64 a) (log.f64 b))) #<representation binary64>) () ())) ())
#s(alt (+ (log b) (* -1 (log (/ 1 a)))) (taylor inf a) (#s(alt (+.f64 (log.f64 a) (log.f64 b)) (patch (+.f64 (log.f64 a) (log.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ (log b) (* -1 (log (/ 1 a)))) (taylor inf a) (#s(alt (+.f64 (log.f64 a) (log.f64 b)) (patch (+.f64 (log.f64 a) (log.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ (log b) (* -1 (log (/ 1 a)))) (taylor inf a) (#s(alt (+.f64 (log.f64 a) (log.f64 b)) (patch (+.f64 (log.f64 a) (log.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ (log b) (* -1 (log (/ 1 a)))) (taylor inf a) (#s(alt (+.f64 (log.f64 a) (log.f64 b)) (patch (+.f64 (log.f64 a) (log.f64 b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (/ 1 a))) (taylor inf a) (#s(alt (log.f64 a) (patch (log.f64 a) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (/ 1 a))) (taylor inf a) (#s(alt (log.f64 a) (patch (log.f64 a) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (/ 1 a))) (taylor inf a) (#s(alt (log.f64 a) (patch (log.f64 a) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (/ 1 a))) (taylor inf a) (#s(alt (log.f64 a) (patch (log.f64 a) #<representation binary64>) () ())) ())
#s(alt (exp (+ (log -1) (+ (log b) (* -1 (log (/ -1 a)))))) (taylor -inf a) (#s(alt (exp.f64 (+.f64 (log.f64 a) (log.f64 b))) (patch (exp.f64 (+.f64 (log.f64 a) (log.f64 b))) #<representation binary64>) () ())) ())
#s(alt (exp (+ (log -1) (+ (log b) (* -1 (log (/ -1 a)))))) (taylor -inf a) (#s(alt (exp.f64 (+.f64 (log.f64 a) (log.f64 b))) (patch (exp.f64 (+.f64 (log.f64 a) (log.f64 b))) #<representation binary64>) () ())) ())
#s(alt (exp (+ (log -1) (+ (log b) (* -1 (log (/ -1 a)))))) (taylor -inf a) (#s(alt (exp.f64 (+.f64 (log.f64 a) (log.f64 b))) (patch (exp.f64 (+.f64 (log.f64 a) (log.f64 b))) #<representation binary64>) () ())) ())
#s(alt (exp (+ (log -1) (+ (log b) (* -1 (log (/ -1 a)))))) (taylor -inf a) (#s(alt (exp.f64 (+.f64 (log.f64 a) (log.f64 b))) (patch (exp.f64 (+.f64 (log.f64 a) (log.f64 b))) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (+ (log b) (* -1 (log (/ -1 a))))) (taylor -inf a) (#s(alt (+.f64 (log.f64 a) (log.f64 b)) (patch (+.f64 (log.f64 a) (log.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (+ (log b) (* -1 (log (/ -1 a))))) (taylor -inf a) (#s(alt (+.f64 (log.f64 a) (log.f64 b)) (patch (+.f64 (log.f64 a) (log.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (+ (log b) (* -1 (log (/ -1 a))))) (taylor -inf a) (#s(alt (+.f64 (log.f64 a) (log.f64 b)) (patch (+.f64 (log.f64 a) (log.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (+ (log b) (* -1 (log (/ -1 a))))) (taylor -inf a) (#s(alt (+.f64 (log.f64 a) (log.f64 b)) (patch (+.f64 (log.f64 a) (log.f64 b)) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (* -1 (log (/ -1 a)))) (taylor -inf a) (#s(alt (log.f64 a) (patch (log.f64 a) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (* -1 (log (/ -1 a)))) (taylor -inf a) (#s(alt (log.f64 a) (patch (log.f64 a) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (* -1 (log (/ -1 a)))) (taylor -inf a) (#s(alt (log.f64 a) (patch (log.f64 a) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (* -1 (log (/ -1 a)))) (taylor -inf a) (#s(alt (log.f64 a) (patch (log.f64 a) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
54.0ms
b
@0
((exp (+ (log a) (log b))) (+ (log a) (log b)) (log a) (log b))
49.0ms
b
@inf
((exp (+ (log a) (log b))) (+ (log a) (log b)) (log a) (log b))
48.0ms
a
@inf
((exp (+ (log a) (log b))) (+ (log a) (log b)) (log a) (log b))
38.0ms
a
@0
((exp (+ (log a) (log b))) (+ (log a) (log b)) (log a) (log b))
18.0ms
b
@-inf
((exp (+ (log a) (log b))) (+ (log a) (log b)) (log a) (log b))

simplify226.0ms (9.7%)

Memory
16.9MiB live, 135.3MiB allocated
Algorithm
egg-herbie
Rules
8 608×lower-fma.f64
8 608×lower-fma.f32
1 984×lower--.f64
1 984×lower--.f32
1 856×lower-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
033312
170240
2136240
3332240
4715240
51114240
61425240
71672240
82149240
92854240
103182240
113188240
123930240
134978240
145074240
155082240
165090240
175090240
185158240
195166240
205170240
217832240
227925240
08053240
Stop Event
iter limit
node limit
Counts
72 → 72
Calls
Call 1
Inputs
(exp (+ (log a) (log b)))
(exp (+ (log a) (log b)))
(exp (+ (log a) (log b)))
(exp (+ (log a) (log b)))
(+ (log a) (log b))
(+ (log a) (log b))
(+ (log a) (log b))
(+ (log a) (log b))
(log b)
(log b)
(log b)
(log b)
(exp (+ (log a) (* -1 (log (/ 1 b)))))
(exp (+ (log a) (* -1 (log (/ 1 b)))))
(exp (+ (log a) (* -1 (log (/ 1 b)))))
(exp (+ (log a) (* -1 (log (/ 1 b)))))
(+ (log a) (* -1 (log (/ 1 b))))
(+ (log a) (* -1 (log (/ 1 b))))
(+ (log a) (* -1 (log (/ 1 b))))
(+ (log a) (* -1 (log (/ 1 b))))
(* -1 (log (/ 1 b)))
(* -1 (log (/ 1 b)))
(* -1 (log (/ 1 b)))
(* -1 (log (/ 1 b)))
(exp (+ (log -1) (+ (log a) (* -1 (log (/ -1 b))))))
(exp (+ (log -1) (+ (log a) (* -1 (log (/ -1 b))))))
(exp (+ (log -1) (+ (log a) (* -1 (log (/ -1 b))))))
(exp (+ (log -1) (+ (log a) (* -1 (log (/ -1 b))))))
(+ (log -1) (+ (log a) (* -1 (log (/ -1 b)))))
(+ (log -1) (+ (log a) (* -1 (log (/ -1 b)))))
(+ (log -1) (+ (log a) (* -1 (log (/ -1 b)))))
(+ (log -1) (+ (log a) (* -1 (log (/ -1 b)))))
(+ (log -1) (* -1 (log (/ -1 b))))
(+ (log -1) (* -1 (log (/ -1 b))))
(+ (log -1) (* -1 (log (/ -1 b))))
(+ (log -1) (* -1 (log (/ -1 b))))
(exp (+ (log a) (log b)))
(exp (+ (log a) (log b)))
(exp (+ (log a) (log b)))
(exp (+ (log a) (log b)))
(+ (log a) (log b))
(+ (log a) (log b))
(+ (log a) (log b))
(+ (log a) (log b))
(log a)
(log a)
(log a)
(log a)
(exp (+ (log b) (* -1 (log (/ 1 a)))))
(exp (+ (log b) (* -1 (log (/ 1 a)))))
(exp (+ (log b) (* -1 (log (/ 1 a)))))
(exp (+ (log b) (* -1 (log (/ 1 a)))))
(+ (log b) (* -1 (log (/ 1 a))))
(+ (log b) (* -1 (log (/ 1 a))))
(+ (log b) (* -1 (log (/ 1 a))))
(+ (log b) (* -1 (log (/ 1 a))))
(* -1 (log (/ 1 a)))
(* -1 (log (/ 1 a)))
(* -1 (log (/ 1 a)))
(* -1 (log (/ 1 a)))
(exp (+ (log -1) (+ (log b) (* -1 (log (/ -1 a))))))
(exp (+ (log -1) (+ (log b) (* -1 (log (/ -1 a))))))
(exp (+ (log -1) (+ (log b) (* -1 (log (/ -1 a))))))
(exp (+ (log -1) (+ (log b) (* -1 (log (/ -1 a))))))
(+ (log -1) (+ (log b) (* -1 (log (/ -1 a)))))
(+ (log -1) (+ (log b) (* -1 (log (/ -1 a)))))
(+ (log -1) (+ (log b) (* -1 (log (/ -1 a)))))
(+ (log -1) (+ (log b) (* -1 (log (/ -1 a)))))
(+ (log -1) (* -1 (log (/ -1 a))))
(+ (log -1) (* -1 (log (/ -1 a))))
(+ (log -1) (* -1 (log (/ -1 a))))
(+ (log -1) (* -1 (log (/ -1 a))))
Outputs
(exp (+ (log a) (log b)))
(*.f64 b a)
(exp (+ (log a) (log b)))
(*.f64 b a)
(exp (+ (log a) (log b)))
(*.f64 b a)
(exp (+ (log a) (log b)))
(*.f64 b a)
(+ (log a) (log b))
(+.f64 (log.f64 b) (log.f64 a))
(+ (log a) (log b))
(+.f64 (log.f64 b) (log.f64 a))
(+ (log a) (log b))
(+.f64 (log.f64 b) (log.f64 a))
(+ (log a) (log b))
(+.f64 (log.f64 b) (log.f64 a))
(log b)
(log.f64 b)
(log b)
(log.f64 b)
(log b)
(log.f64 b)
(log b)
(log.f64 b)
(exp (+ (log a) (* -1 (log (/ 1 b)))))
(*.f64 b a)
(exp (+ (log a) (* -1 (log (/ 1 b)))))
(*.f64 b a)
(exp (+ (log a) (* -1 (log (/ 1 b)))))
(*.f64 b a)
(exp (+ (log a) (* -1 (log (/ 1 b)))))
(*.f64 b a)
(+ (log a) (* -1 (log (/ 1 b))))
(+.f64 (log.f64 b) (log.f64 a))
(+ (log a) (* -1 (log (/ 1 b))))
(+.f64 (log.f64 b) (log.f64 a))
(+ (log a) (* -1 (log (/ 1 b))))
(+.f64 (log.f64 b) (log.f64 a))
(+ (log a) (* -1 (log (/ 1 b))))
(+.f64 (log.f64 b) (log.f64 a))
(* -1 (log (/ 1 b)))
(log.f64 b)
(* -1 (log (/ 1 b)))
(log.f64 b)
(* -1 (log (/ 1 b)))
(log.f64 b)
(* -1 (log (/ 1 b)))
(log.f64 b)
(exp (+ (log -1) (+ (log a) (* -1 (log (/ -1 b))))))
(*.f64 b a)
(exp (+ (log -1) (+ (log a) (* -1 (log (/ -1 b))))))
(*.f64 b a)
(exp (+ (log -1) (+ (log a) (* -1 (log (/ -1 b))))))
(*.f64 b a)
(exp (+ (log -1) (+ (log a) (* -1 (log (/ -1 b))))))
(*.f64 b a)
(+ (log -1) (+ (log a) (* -1 (log (/ -1 b)))))
(+.f64 (log.f64 b) (log.f64 a))
(+ (log -1) (+ (log a) (* -1 (log (/ -1 b)))))
(+.f64 (log.f64 b) (log.f64 a))
(+ (log -1) (+ (log a) (* -1 (log (/ -1 b)))))
(+.f64 (log.f64 b) (log.f64 a))
(+ (log -1) (+ (log a) (* -1 (log (/ -1 b)))))
(+.f64 (log.f64 b) (log.f64 a))
(+ (log -1) (* -1 (log (/ -1 b))))
(log.f64 b)
(+ (log -1) (* -1 (log (/ -1 b))))
(log.f64 b)
(+ (log -1) (* -1 (log (/ -1 b))))
(log.f64 b)
(+ (log -1) (* -1 (log (/ -1 b))))
(log.f64 b)
(exp (+ (log a) (log b)))
(*.f64 b a)
(exp (+ (log a) (log b)))
(*.f64 b a)
(exp (+ (log a) (log b)))
(*.f64 b a)
(exp (+ (log a) (log b)))
(*.f64 b a)
(+ (log a) (log b))
(+.f64 (log.f64 b) (log.f64 a))
(+ (log a) (log b))
(+.f64 (log.f64 b) (log.f64 a))
(+ (log a) (log b))
(+.f64 (log.f64 b) (log.f64 a))
(+ (log a) (log b))
(+.f64 (log.f64 b) (log.f64 a))
(log a)
(log.f64 a)
(log a)
(log.f64 a)
(log a)
(log.f64 a)
(log a)
(log.f64 a)
(exp (+ (log b) (* -1 (log (/ 1 a)))))
(*.f64 b a)
(exp (+ (log b) (* -1 (log (/ 1 a)))))
(*.f64 b a)
(exp (+ (log b) (* -1 (log (/ 1 a)))))
(*.f64 b a)
(exp (+ (log b) (* -1 (log (/ 1 a)))))
(*.f64 b a)
(+ (log b) (* -1 (log (/ 1 a))))
(+.f64 (log.f64 b) (log.f64 a))
(+ (log b) (* -1 (log (/ 1 a))))
(+.f64 (log.f64 b) (log.f64 a))
(+ (log b) (* -1 (log (/ 1 a))))
(+.f64 (log.f64 b) (log.f64 a))
(+ (log b) (* -1 (log (/ 1 a))))
(+.f64 (log.f64 b) (log.f64 a))
(* -1 (log (/ 1 a)))
(log.f64 a)
(* -1 (log (/ 1 a)))
(log.f64 a)
(* -1 (log (/ 1 a)))
(log.f64 a)
(* -1 (log (/ 1 a)))
(log.f64 a)
(exp (+ (log -1) (+ (log b) (* -1 (log (/ -1 a))))))
(*.f64 b a)
(exp (+ (log -1) (+ (log b) (* -1 (log (/ -1 a))))))
(*.f64 b a)
(exp (+ (log -1) (+ (log b) (* -1 (log (/ -1 a))))))
(*.f64 b a)
(exp (+ (log -1) (+ (log b) (* -1 (log (/ -1 a))))))
(*.f64 b a)
(+ (log -1) (+ (log b) (* -1 (log (/ -1 a)))))
(+.f64 (log.f64 b) (log.f64 a))
(+ (log -1) (+ (log b) (* -1 (log (/ -1 a)))))
(+.f64 (log.f64 b) (log.f64 a))
(+ (log -1) (+ (log b) (* -1 (log (/ -1 a)))))
(+.f64 (log.f64 b) (log.f64 a))
(+ (log -1) (+ (log b) (* -1 (log (/ -1 a)))))
(+.f64 (log.f64 b) (log.f64 a))
(+ (log -1) (* -1 (log (/ -1 a))))
(log.f64 a)
(+ (log -1) (* -1 (log (/ -1 a))))
(log.f64 a)
(+ (log -1) (* -1 (log (/ -1 a))))
(log.f64 a)
(+ (log -1) (* -1 (log (/ -1 a))))
(log.f64 a)

rewrite205.0ms (8.8%)

Memory
11.4MiB live, 213.8MiB allocated
Rules
7 112×lower-fma.f64
7 112×lower-fma.f32
4 202×lower-*.f64
4 202×lower-*.f32
4 178×lower-/.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0615
01013
12911
214411
3126811
0897011
Stop Event
iter limit
node limit
iter limit
Counts
4 → 239
Calls
Call 1
Inputs
(exp.f64 (+.f64 (log.f64 a) (log.f64 b)))
(+.f64 (log.f64 a) (log.f64 b))
(log.f64 a)
(log.f64 b)
Outputs
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
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#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
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#<batchref>
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#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
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#<batchref>
#<batchref>
#<batchref>

eval56.0ms (2.4%)

Memory
10.8MiB live, 88.4MiB allocated
Compiler

Compiled 7 825 to 801 computations (89.8% saved)

prune8.0ms (0.4%)

Memory
-25.1MiB live, 18.2MiB allocated
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New3101311
Fresh000
Picked101
Done000
Total3111312
Accuracy
100.0%
Counts
312 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 b a)
Compiler

Compiled 3 to 3 computations (0% saved)

simplify3.0ms (0.1%)

Memory
5.4MiB live, 5.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 1 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 b a)
Rules
lower-*.f32
*-commutative
lower-*.f64
lift-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035
045
155
055
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 b a)
b
a
Outputs
(*.f64 b a)
(*.f64 a b)
b
a

localize10.0ms (0.4%)

Memory
16.7MiB live, 16.7MiB allocated
Localize:

Found 1 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 b a)
Samples
7.0ms256×0valid
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 (98.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0.2%)

Memory
-35.3MiB live, 4.1MiB allocated
Counts
1 → 24
Calls
Call 1
Inputs
#s(alt (*.f64 b a) (patch (*.f64 b a) #<representation binary64>) () ())
Outputs
#s(alt (* a b) (taylor 0 b) (#s(alt (*.f64 b a) (patch (*.f64 b a) #<representation binary64>) () ())) ())
#s(alt (* a b) (taylor 0 b) (#s(alt (*.f64 b a) (patch (*.f64 b a) #<representation binary64>) () ())) ())
#s(alt (* a b) (taylor 0 b) (#s(alt (*.f64 b a) (patch (*.f64 b a) #<representation binary64>) () ())) ())
#s(alt (* a b) (taylor 0 b) (#s(alt (*.f64 b a) (patch (*.f64 b a) #<representation binary64>) () ())) ())
#s(alt (* a b) (taylor inf b) (#s(alt (*.f64 b a) (patch (*.f64 b a) #<representation binary64>) () ())) ())
#s(alt (* a b) (taylor inf b) (#s(alt (*.f64 b a) (patch (*.f64 b a) #<representation binary64>) () ())) ())
#s(alt (* a b) (taylor inf b) (#s(alt (*.f64 b a) (patch (*.f64 b a) #<representation binary64>) () ())) ())
#s(alt (* a b) (taylor inf b) (#s(alt (*.f64 b a) (patch (*.f64 b a) #<representation binary64>) () ())) ())
#s(alt (* a b) (taylor -inf b) (#s(alt (*.f64 b a) (patch (*.f64 b a) #<representation binary64>) () ())) ())
#s(alt (* a b) (taylor -inf b) (#s(alt (*.f64 b a) (patch (*.f64 b a) #<representation binary64>) () ())) ())
#s(alt (* a b) (taylor -inf b) (#s(alt (*.f64 b a) (patch (*.f64 b a) #<representation binary64>) () ())) ())
#s(alt (* a b) (taylor -inf b) (#s(alt (*.f64 b a) (patch (*.f64 b a) #<representation binary64>) () ())) ())
#s(alt (* a b) (taylor 0 a) (#s(alt (*.f64 b a) (patch (*.f64 b a) #<representation binary64>) () ())) ())
#s(alt (* a b) (taylor 0 a) (#s(alt (*.f64 b a) (patch (*.f64 b a) #<representation binary64>) () ())) ())
#s(alt (* a b) (taylor 0 a) (#s(alt (*.f64 b a) (patch (*.f64 b a) #<representation binary64>) () ())) ())
#s(alt (* a b) (taylor 0 a) (#s(alt (*.f64 b a) (patch (*.f64 b a) #<representation binary64>) () ())) ())
#s(alt (* a b) (taylor inf a) (#s(alt (*.f64 b a) (patch (*.f64 b a) #<representation binary64>) () ())) ())
#s(alt (* a b) (taylor inf a) (#s(alt (*.f64 b a) (patch (*.f64 b a) #<representation binary64>) () ())) ())
#s(alt (* a b) (taylor inf a) (#s(alt (*.f64 b a) (patch (*.f64 b a) #<representation binary64>) () ())) ())
#s(alt (* a b) (taylor inf a) (#s(alt (*.f64 b a) (patch (*.f64 b a) #<representation binary64>) () ())) ())
#s(alt (* a b) (taylor -inf a) (#s(alt (*.f64 b a) (patch (*.f64 b a) #<representation binary64>) () ())) ())
#s(alt (* a b) (taylor -inf a) (#s(alt (*.f64 b a) (patch (*.f64 b a) #<representation binary64>) () ())) ())
#s(alt (* a b) (taylor -inf a) (#s(alt (*.f64 b a) (patch (*.f64 b a) #<representation binary64>) () ())) ())
#s(alt (* a b) (taylor -inf a) (#s(alt (*.f64 b a) (patch (*.f64 b a) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
1.0ms
b
@inf
((* b a))
1.0ms
b
@-inf
((* b a))
0.0ms
a
@-inf
((* b a))
0.0ms
a
@0
((* b a))
0.0ms
a
@inf
((* b a))

simplify3.0ms (0.1%)

Memory
3.9MiB live, 3.9MiB allocated
Algorithm
egg-herbie
Rules
lower-*.f64
lower-*.f32
*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0372
1472
0472
Stop Event
iter limit
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 b a)
(* a b)
(*.f64 b a)
(* a b)
(*.f64 b a)
(* a b)
(*.f64 b a)
(* a b)
(*.f64 b a)
(* a b)
(*.f64 b a)
(* a b)
(*.f64 b a)
(* a b)
(*.f64 b a)
(* a b)
(*.f64 b a)
(* a b)
(*.f64 b a)
(* a b)
(*.f64 b a)
(* a b)
(*.f64 b a)
(* a b)
(*.f64 b a)
(* a b)
(*.f64 b a)
(* a b)
(*.f64 b a)
(* a b)
(*.f64 b a)
(* a b)
(*.f64 b a)
(* a b)
(*.f64 b a)
(* a b)
(*.f64 b a)
(* a b)
(*.f64 b a)
(* a b)
(*.f64 b a)
(* a b)
(*.f64 b a)
(* a b)
(*.f64 b a)
(* a b)
(*.f64 b a)

rewrite7.0ms (0.3%)

Memory
8.7MiB live, 8.7MiB allocated
Rules
lower-*.f32
lower-*.f64
*-commutative
lift-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033
043
153
053
Stop Event
iter limit
saturated
iter limit
Counts
1 → 2
Calls
Call 1
Inputs
(*.f64 b a)
Outputs
#<batchref>
#<batchref>

eval2.0ms (0.1%)

Memory
4.1MiB live, 4.1MiB allocated
Compiler

Compiled 102 to 5 computations (95.1% saved)

prune2.0ms (0.1%)

Memory
3.8MiB live, 3.8MiB allocated
Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New26026
Fresh000
Picked011
Done000
Total26127
Accuracy
100.0%
Counts
27 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 b a)
Compiler

Compiled 12 to 10 computations (16.7% saved)

regimes19.0ms (0.8%)

Memory
-21.3MiB live, 17.8MiB allocated
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:

11.0ms
a
1.0ms
(log.f64 b)
1.0ms
(+.f64 (log.f64 a) (log.f64 b))
1.0ms
(exp.f64 (+.f64 (log.f64 a) (log.f64 b)))
1.0ms
b
Results
AccuracySegmentsBranch
100.0%1a
100.0%1b
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 17 to 21 computations (-23.5% saved)

simplify22.0ms (1%)

Memory
1.9MiB live, 41.2MiB allocated
Algorithm
egg-herbie
Rules
*-commutative-binary64-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033
143
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 b a)
Outputs
(*.f64 b a)
(*.f64 a b)

soundness98.0ms (4.2%)

Memory
19.9MiB live, 58.9MiB allocated
Rules
7 112×lower-fma.f64
7 112×lower-fma.f32
4 202×lower-*.f64
4 202×lower-*.f32
4 178×lower-/.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0615
01013
12911
214411
3126811
0897011
Stop Event
done
iter limit
node limit
iter limit
Compiler

Compiled 12 to 10 computations (16.7% saved)

preprocess65.0ms (2.8%)

Memory
-15.6MiB live, 101.0MiB allocated
Remove

(sort a b)

(negabs a)

(negabs b)

Compiler

Compiled 60 to 60 computations (0% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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