Exp of sum of logs

Time bar (total: 2.6s)

analyze1.0ms (0%)

Memory
0.5MiB live, 0.5MiB 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)

sample929.0ms (36%)

Memory
19.0MiB live, 1 159.8MiB allocated
Samples
662.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 465.0ms
ival-log: 309.0ms (66.5% of total)
ival-exp: 105.0ms (22.6% of total)
ival-add: 41.0ms (8.8% of total)
ival-true: 8.0ms (1.7% of total)
ival-assert: 3.0ms (0.6% of total)
Bogosity

preprocess20.0ms (0.8%)

Memory
-13.0MiB live, 26.0MiB 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 a b)
Symmetry

(negabs b)

(negabs a)

(sort a b)

explain140.0ms (5.4%)

Memory
-0.3MiB live, 77.7MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
14616(9.027721672786246e-17 4.091570220026086e+125)17(8.915053295036338e-177 3.1676252493428133e+139)(exp.f64 (+.f64 (log.f64 a) (log.f64 b)))
20-1(1.33975095640208e-237 8.325056604820551e+239)(+.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)))sensitivity14529
+.f64(+.f64 (log.f64 a) (log.f64 b))cancellation11
Confusion
Predicted +Predicted -
+13430
-1280
Precision
0.9178082191780822
Recall
0.8170731707317073
Confusion?
Predicted +Predicted MaybePredicted -
+134255
-12575
Precision?
0.9034090909090909
Recall?
0.9695121951219512
Freqs
test
numberfreq
0110
1146
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
33.0ms512×0valid
Compiler

Compiled 54 to 28 computations (48.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-log: 12.0ms (60.4% of total)
ival-exp: 5.0ms (25.2% of total)
ival-add: 2.0ms (10.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
92.7%
(exp.f64 (+.f64 (log.f64 a) (log.f64 b)))
Compiler

Compiled 8 to 6 computations (25% saved)

simplify4.0ms (0.2%)

Memory
2.5MiB live, 2.5MiB 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 a b)
(+.f64 (log.f64 a) (log.f64 b))
(log.f64 a)
a
(log.f64 b)
b

localize24.0ms (0.9%)

Memory
9.9MiB live, 9.9MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(log.f64 b)
accuracy100.0%
(log.f64 a)
accuracy99.1%
(+.f64 (log.f64 a) (log.f64 b))
accuracy94.0%
(exp.f64 (+.f64 (log.f64 a) (log.f64 b)))
Samples
16.0ms256×0valid
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 (61% of total)
ival-exp: 2.0ms (20.3% of total)
ival-add: 1.0ms (10.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series156.0ms (6.1%)

Memory
19.2MiB live, 167.2MiB 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 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 (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 (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 (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 (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 (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 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 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 (+ (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 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 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 (+ (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 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 (* -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 (+ (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>) () ())) ())
#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 (* -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 (+ (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>) () ())) ())
Calls

18 calls:

TimeVariablePointExpression
47.0ms
a
@0
(exp (+ (log a) (log b)))
37.0ms
b
@0
(exp (+ (log a) (log b)))
30.0ms
b
@inf
(exp (+ (log a) (log b)))
22.0ms
a
@inf
(exp (+ (log a) (log b)))
12.0ms
a
@-inf
(exp (+ (log a) (log b)))

simplify373.0ms (14.5%)

Memory
-34.9MiB live, 307.1MiB allocated
Algorithm
egg-herbie
Rules
9 264×lower-fma.f64
9 264×lower-fma.f32
1 876×lower--.f64
1 876×lower--.f32
1 760×lower-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
033312
170240
2136240
3332240
4718240
51112240
61423240
71670240
82136240
92839240
103167240
113173240
123914240
134944240
145040240
155048240
165056240
175056240
185124240
195132240
205136240
217753240
227846240
08120240
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)))
(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)))))
(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))))))
(exp (+ (log a) (log b)))
(exp (+ (log a) (log b)))
(exp (+ (log a) (log b)))
(exp (+ (log a) (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)))))
(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 a) (log b))
(+ (log a) (log b))
(+ (log a) (log b))
(+ (log a) (log b))
(+ (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 -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 a) (log b))
(+ (log a) (log b))
(+ (log a) (log b))
(+ (log a) (log 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))))
(+ (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 a)
(log a)
(log a)
(log a)
(* -1 (log (/ 1 a)))
(* -1 (log (/ 1 a)))
(* -1 (log (/ 1 a)))
(* -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))))
(log b)
(log b)
(log b)
(log b)
(* -1 (log (/ 1 b)))
(* -1 (log (/ 1 b)))
(* -1 (log (/ 1 b)))
(* -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))))
Outputs
(exp (+ (log a) (log b)))
(*.f64 a b)
(exp (+ (log a) (log b)))
(*.f64 a b)
(exp (+ (log a) (log b)))
(*.f64 a b)
(exp (+ (log a) (log b)))
(*.f64 a b)
(exp (+ (log b) (* -1 (log (/ 1 a)))))
(*.f64 a b)
(exp (+ (log b) (* -1 (log (/ 1 a)))))
(*.f64 a b)
(exp (+ (log b) (* -1 (log (/ 1 a)))))
(*.f64 a b)
(exp (+ (log b) (* -1 (log (/ 1 a)))))
(*.f64 a b)
(exp (+ (log -1) (+ (log b) (* -1 (log (/ -1 a))))))
(*.f64 a b)
(exp (+ (log -1) (+ (log b) (* -1 (log (/ -1 a))))))
(*.f64 a b)
(exp (+ (log -1) (+ (log b) (* -1 (log (/ -1 a))))))
(*.f64 a b)
(exp (+ (log -1) (+ (log b) (* -1 (log (/ -1 a))))))
(*.f64 a b)
(exp (+ (log a) (log b)))
(*.f64 a b)
(exp (+ (log a) (log b)))
(*.f64 a b)
(exp (+ (log a) (log b)))
(*.f64 a b)
(exp (+ (log a) (log b)))
(*.f64 a b)
(exp (+ (log a) (* -1 (log (/ 1 b)))))
(*.f64 a b)
(exp (+ (log a) (* -1 (log (/ 1 b)))))
(*.f64 a b)
(exp (+ (log a) (* -1 (log (/ 1 b)))))
(*.f64 a b)
(exp (+ (log a) (* -1 (log (/ 1 b)))))
(*.f64 a b)
(exp (+ (log -1) (+ (log a) (* -1 (log (/ -1 b))))))
(*.f64 a b)
(exp (+ (log -1) (+ (log a) (* -1 (log (/ -1 b))))))
(*.f64 a b)
(exp (+ (log -1) (+ (log a) (* -1 (log (/ -1 b))))))
(*.f64 a b)
(exp (+ (log -1) (+ (log a) (* -1 (log (/ -1 b))))))
(*.f64 a b)
(+ (log a) (log b))
(+.f64 (log.f64 a) (log.f64 b))
(+ (log a) (log b))
(+.f64 (log.f64 a) (log.f64 b))
(+ (log a) (log b))
(+.f64 (log.f64 a) (log.f64 b))
(+ (log a) (log b))
(+.f64 (log.f64 a) (log.f64 b))
(+ (log b) (* -1 (log (/ 1 a))))
(+.f64 (log.f64 a) (log.f64 b))
(+ (log b) (* -1 (log (/ 1 a))))
(+.f64 (log.f64 a) (log.f64 b))
(+ (log b) (* -1 (log (/ 1 a))))
(+.f64 (log.f64 a) (log.f64 b))
(+ (log b) (* -1 (log (/ 1 a))))
(+.f64 (log.f64 a) (log.f64 b))
(+ (log -1) (+ (log b) (* -1 (log (/ -1 a)))))
(+.f64 (log.f64 a) (log.f64 b))
(+ (log -1) (+ (log b) (* -1 (log (/ -1 a)))))
(+.f64 (log.f64 a) (log.f64 b))
(+ (log -1) (+ (log b) (* -1 (log (/ -1 a)))))
(+.f64 (log.f64 a) (log.f64 b))
(+ (log -1) (+ (log b) (* -1 (log (/ -1 a)))))
(+.f64 (log.f64 a) (log.f64 b))
(+ (log a) (log b))
(+.f64 (log.f64 a) (log.f64 b))
(+ (log a) (log b))
(+.f64 (log.f64 a) (log.f64 b))
(+ (log a) (log b))
(+.f64 (log.f64 a) (log.f64 b))
(+ (log a) (log b))
(+.f64 (log.f64 a) (log.f64 b))
(+ (log a) (* -1 (log (/ 1 b))))
(+.f64 (log.f64 a) (log.f64 b))
(+ (log a) (* -1 (log (/ 1 b))))
(+.f64 (log.f64 a) (log.f64 b))
(+ (log a) (* -1 (log (/ 1 b))))
(+.f64 (log.f64 a) (log.f64 b))
(+ (log a) (* -1 (log (/ 1 b))))
(+.f64 (log.f64 a) (log.f64 b))
(+ (log -1) (+ (log a) (* -1 (log (/ -1 b)))))
(+.f64 (log.f64 a) (log.f64 b))
(+ (log -1) (+ (log a) (* -1 (log (/ -1 b)))))
(+.f64 (log.f64 a) (log.f64 b))
(+ (log -1) (+ (log a) (* -1 (log (/ -1 b)))))
(+.f64 (log.f64 a) (log.f64 b))
(+ (log -1) (+ (log a) (* -1 (log (/ -1 b)))))
(+.f64 (log.f64 a) (log.f64 b))
(log a)
(log.f64 a)
(log a)
(log.f64 a)
(log a)
(log.f64 a)
(log 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)
(* -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)
(+ (log -1) (* -1 (log (/ -1 a))))
(log.f64 a)
(log b)
(log.f64 b)
(log b)
(log.f64 b)
(log b)
(log.f64 b)
(log 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)
(* -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)
(+ (log -1) (* -1 (log (/ -1 b))))
(log.f64 b)

rewrite389.0ms (15.1%)

Memory
19.8MiB live, 382.0MiB allocated
Algorithm
batch-egg-rewrite
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
(exp.f64 (log.f64 (*.f64 a b)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (+.f64 (pow.f64 (log.f64 a) #s(literal 3 binary64)) (pow.f64 (log.f64 b) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 a) (log.f64 (/.f64 a b)) (pow.f64 (log.f64 b) #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 a b) (log.f64 (/.f64 a b)))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 a b)))))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log.f64 (*.f64 a b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 b (/.f64 (log.f64 b) (log.f64 (/.f64 a b)))) (pow.f64 a (/.f64 (log.f64 a) (log.f64 (/.f64 a b))))))
(/.f64 (pow.f64 a (/.f64 (log.f64 a) (log.f64 (/.f64 a b)))) (pow.f64 b (/.f64 (log.f64 b) (log.f64 (/.f64 a b)))))
(/.f64 (exp.f64 (/.f64 (pow.f64 (log.f64 b) #s(literal 2 binary64)) (log.f64 (/.f64 b a)))) (exp.f64 (/.f64 (pow.f64 (log.f64 a) #s(literal 2 binary64)) (log.f64 (/.f64 b a)))))
(/.f64 (neg.f64 (pow.f64 a (/.f64 (log.f64 a) (log.f64 (/.f64 a b))))) (neg.f64 (pow.f64 b (/.f64 (log.f64 b) (log.f64 (/.f64 a b))))))
(pow.f64 (*.f64 a b) #s(literal 1 binary64))
(pow.f64 (exp.f64 (+.f64 (pow.f64 (log.f64 a) #s(literal 3 binary64)) (pow.f64 (log.f64 b) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 a) (log.f64 (/.f64 a b)) (pow.f64 (log.f64 b) #s(literal 2 binary64)))))
(pow.f64 (pow.f64 (*.f64 a b) (log.f64 (/.f64 a b))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 a b))))
(pow.f64 (pow.f64 (exp.f64 (+.f64 (pow.f64 (log.f64 a) #s(literal 3 binary64)) (pow.f64 (log.f64 b) #s(literal 3 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 a) (log.f64 (/.f64 a b)) (pow.f64 (log.f64 b) #s(literal 2 binary64)))))
(pow.f64 (pow.f64 (exp.f64 (+.f64 (pow.f64 (log.f64 a) #s(literal 3 binary64)) (pow.f64 (log.f64 b) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 a) #s(literal 6 binary64)) (pow.f64 (*.f64 (log.f64 b) (log.f64 (/.f64 b a))) #s(literal 3 binary64))))) (fma.f64 (*.f64 (log.f64 b) (log.f64 (/.f64 b a))) (fma.f64 (log.f64 b) (log.f64 (/.f64 b a)) (neg.f64 (pow.f64 (log.f64 a) #s(literal 2 binary64)))) (pow.f64 (log.f64 a) #s(literal 4 binary64))))
(pow.f64 (pow.f64 (exp.f64 (+.f64 (pow.f64 (log.f64 a) #s(literal 3 binary64)) (pow.f64 (log.f64 b) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (log.f64 a) #s(literal 4 binary64)) (pow.f64 (*.f64 (log.f64 b) (log.f64 (/.f64 b a))) #s(literal 2 binary64))))) (+.f64 (pow.f64 (log.f64 a) #s(literal 2 binary64)) (*.f64 (log.f64 b) (log.f64 (/.f64 a b)))))
(pow.f64 (pow.f64 (pow.f64 (*.f64 a b) (log.f64 (/.f64 a b))) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 (*.f64 a b)) (log.f64 (/.f64 a b))))) (log.f64 (*.f64 a b)))
(pow.f64 (pow.f64 (pow.f64 (*.f64 a b) (log.f64 (/.f64 a b))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (log.f64 a) #s(literal 3 binary64)) (pow.f64 (log.f64 b) #s(literal 3 binary64))))) (fma.f64 (log.f64 b) (log.f64 (*.f64 a b)) (pow.f64 (log.f64 a) #s(literal 2 binary64))))
(pow.f64 (exp.f64 (fma.f64 (log.f64 a) (log.f64 (/.f64 a b)) (pow.f64 (log.f64 b) #s(literal 2 binary64)))) (/.f64 (log.f64 (*.f64 a b)) (fma.f64 (log.f64 a) (log.f64 (/.f64 a b)) (pow.f64 (log.f64 b) #s(literal 2 binary64)))))
(pow.f64 (exp.f64 (-.f64 (pow.f64 (neg.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 a) (log.f64 (/.f64 a b)) (pow.f64 (log.f64 b) #s(literal 2 binary64)))))
(pow.f64 (exp.f64 (*.f64 (log.f64 (*.f64 a b)) (log.f64 (/.f64 b a)))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 b a))))
(pow.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 a) (log.f64 (/.f64 a b)) (pow.f64 (log.f64 b) #s(literal 2 binary64))))) (+.f64 (pow.f64 (log.f64 a) #s(literal 3 binary64)) (pow.f64 (log.f64 b) #s(literal 3 binary64))))
(pow.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 a b)))) (*.f64 (log.f64 (*.f64 a b)) (log.f64 (/.f64 a b))))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (*.f64 a b)))
(pow.f64 (exp.f64 (/.f64 (+.f64 (pow.f64 (log.f64 a) #s(literal 3 binary64)) (pow.f64 (log.f64 b) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 a) #s(literal 6 binary64)) (pow.f64 (*.f64 (log.f64 b) (log.f64 (/.f64 b a))) #s(literal 3 binary64))))) (fma.f64 (*.f64 (log.f64 b) (log.f64 (/.f64 b a))) (fma.f64 (log.f64 b) (log.f64 (/.f64 b a)) (neg.f64 (pow.f64 (log.f64 a) #s(literal 2 binary64)))) (pow.f64 (log.f64 a) #s(literal 4 binary64))))
(pow.f64 (exp.f64 (/.f64 (+.f64 (pow.f64 (log.f64 a) #s(literal 3 binary64)) (pow.f64 (log.f64 b) #s(literal 3 binary64))) (-.f64 (pow.f64 (log.f64 a) #s(literal 4 binary64)) (pow.f64 (*.f64 (log.f64 b) (log.f64 (/.f64 b a))) #s(literal 2 binary64))))) (+.f64 (pow.f64 (log.f64 a) #s(literal 2 binary64)) (*.f64 (log.f64 b) (log.f64 (/.f64 a b)))))
(pow.f64 (exp.f64 (/.f64 (*.f64 (log.f64 (*.f64 a b)) (log.f64 (/.f64 a b))) (-.f64 (pow.f64 (log.f64 a) #s(literal 3 binary64)) (pow.f64 (log.f64 b) #s(literal 3 binary64))))) (fma.f64 (log.f64 b) (log.f64 (*.f64 a b)) (pow.f64 (log.f64 a) #s(literal 2 binary64))))
(*.f64 a b)
(*.f64 b a)
(*.f64 (pow.f64 a (/.f64 (log.f64 a) (log.f64 (/.f64 a b)))) (exp.f64 (/.f64 (pow.f64 (log.f64 b) #s(literal 2 binary64)) (log.f64 (/.f64 b a)))))
(*.f64 (pow.f64 a (/.f64 (log.f64 a) (log.f64 (/.f64 a b)))) (/.f64 #s(literal 1 binary64) (pow.f64 b (/.f64 (log.f64 b) (log.f64 (/.f64 a b))))))
(*.f64 (pow.f64 (exp.f64 (+.f64 (pow.f64 (log.f64 a) #s(literal 3 binary64)) (pow.f64 (log.f64 b) #s(literal 3 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 a) (log.f64 (/.f64 a b)) (pow.f64 (log.f64 b) #s(literal 2 binary64)))) #s(literal 2 binary64))) (pow.f64 (exp.f64 (+.f64 (pow.f64 (log.f64 a) #s(literal 3 binary64)) (pow.f64 (log.f64 b) #s(literal 3 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 a) (log.f64 (/.f64 a b)) (pow.f64 (log.f64 b) #s(literal 2 binary64)))) #s(literal 2 binary64))))
(*.f64 (pow.f64 (pow.f64 (*.f64 a b) (log.f64 (/.f64 a b))) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 a b))) #s(literal 2 binary64))) (pow.f64 (pow.f64 (*.f64 a b) (log.f64 (/.f64 a b))) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 a b))) #s(literal 2 binary64))))
(log.f64 (*.f64 a b))
(log.f64 (/.f64 a (/.f64 #s(literal 1 binary64) b)))
(+.f64 (log.f64 a) (log.f64 b))
(+.f64 (log.f64 b) (log.f64 a))
(+.f64 (log.f64 b) (*.f64 #s(literal 1 binary64) (log.f64 a)))
(+.f64 (/.f64 (pow.f64 (log.f64 a) #s(literal 2 binary64)) (log.f64 (/.f64 a b))) (/.f64 (pow.f64 (log.f64 b) #s(literal 2 binary64)) (log.f64 (/.f64 b a))))
(+.f64 (/.f64 (pow.f64 (log.f64 a) #s(literal 2 binary64)) (log.f64 (/.f64 a b))) (*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 b) #s(literal 2 binary64)) (log.f64 (/.f64 b a)))))
(+.f64 (/.f64 (pow.f64 (log.f64 b) #s(literal 2 binary64)) (log.f64 (/.f64 b a))) (/.f64 (pow.f64 (log.f64 a) #s(literal 2 binary64)) (log.f64 (/.f64 a b))))
(+.f64 (*.f64 #s(literal 1 binary64) (log.f64 a)) (log.f64 b))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 a) (log.f64 (/.f64 a b)) (pow.f64 (log.f64 b) #s(literal 2 binary64)))) (pow.f64 (log.f64 a) #s(literal 3 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 a) (log.f64 (/.f64 a b)) (pow.f64 (log.f64 b) #s(literal 2 binary64)))) (pow.f64 (log.f64 b) #s(literal 3 binary64))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 a) (log.f64 (/.f64 a b)) (pow.f64 (log.f64 b) #s(literal 2 binary64)))) (pow.f64 (log.f64 b) #s(literal 3 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 a) (log.f64 (/.f64 a b)) (pow.f64 (log.f64 b) #s(literal 2 binary64)))) (pow.f64 (log.f64 a) #s(literal 3 binary64))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 a) (log.f64 (/.f64 a b)) (pow.f64 (log.f64 b) #s(literal 2 binary64)))) (*.f64 (fma.f64 (log.f64 a) (log.f64 (/.f64 a b)) (pow.f64 (log.f64 b) #s(literal 2 binary64))) (log.f64 a))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 a) (log.f64 (/.f64 a b)) (pow.f64 (log.f64 b) #s(literal 2 binary64)))) (*.f64 (fma.f64 (log.f64 a) (log.f64 (/.f64 a b)) (pow.f64 (log.f64 b) #s(literal 2 binary64))) (log.f64 b))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 a) (log.f64 (/.f64 a b)) (pow.f64 (log.f64 b) #s(literal 2 binary64)))) (*.f64 (fma.f64 (log.f64 a) (log.f64 (/.f64 a b)) (pow.f64 (log.f64 b) #s(literal 2 binary64))) (log.f64 b))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 a) (log.f64 (/.f64 a b)) (pow.f64 (log.f64 b) #s(literal 2 binary64)))) (*.f64 (fma.f64 (log.f64 a) (log.f64 (/.f64 a b)) (pow.f64 (log.f64 b) #s(literal 2 binary64))) (log.f64 a))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 a) (log.f64 (/.f64 a b)) (pow.f64 (log.f64 b) #s(literal 2 binary64)))) (fma.f64 (log.f64 a) (*.f64 (log.f64 b) (log.f64 (/.f64 b a))) (pow.f64 (log.f64 a) #s(literal 3 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 a) (log.f64 (/.f64 a b)) (pow.f64 (log.f64 b) #s(literal 2 binary64)))) (fma.f64 (log.f64 b) (*.f64 (log.f64 a) (log.f64 (/.f64 a b))) (pow.f64 (log.f64 b) #s(literal 3 binary64)))))
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(*.f64 (-.f64 (pow.f64 (log.f64 a) #s(literal 6 binary64)) (pow.f64 (log.f64 b) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 (/.f64 a b)) (+.f64 (+.f64 (pow.f64 (log.f64 a) #s(literal 4 binary64)) (pow.f64 (log.f64 b) #s(literal 4 binary64))) (pow.f64 (*.f64 (log.f64 a) (log.f64 b)) #s(literal 2 binary64))))))
(*.f64 (-.f64 (pow.f64 (log.f64 a) #s(literal 6 binary64)) (pow.f64 (log.f64 b) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (*.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 (/.f64 a b)) (pow.f64 (log.f64 b) #s(literal 2 binary64))))))
(*.f64 (-.f64 (pow.f64 (log.f64 a) #s(literal 6 binary64)) (pow.f64 (log.f64 b) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (+.f64 (pow.f64 (log.f64 a) #s(literal 4 binary64)) (pow.f64 (log.f64 b) #s(literal 4 binary64))) (pow.f64 (*.f64 (log.f64 a) (log.f64 b)) #s(literal 2 binary64))) (log.f64 (/.f64 a b)))))
(*.f64 (-.f64 (pow.f64 (log.f64 a) #s(literal 4 binary64)) (pow.f64 (log.f64 b) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 (/.f64 a b)) (+.f64 (pow.f64 (log.f64 a) #s(literal 2 binary64)) (pow.f64 (log.f64 b) #s(literal 2 binary64))))))
(*.f64 (-.f64 (pow.f64 (log.f64 a) #s(literal 4 binary64)) (pow.f64 (log.f64 b) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (pow.f64 (log.f64 a) #s(literal 2 binary64)) (pow.f64 (log.f64 b) #s(literal 2 binary64))) (log.f64 (/.f64 a b)))))
(*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 (*.f64 a b))))
(*.f64 (fma.f64 (pow.f64 (log.f64 a) #s(literal 2 binary64)) (log.f64 (/.f64 a b)) (*.f64 (log.f64 (/.f64 b a)) (pow.f64 (log.f64 b) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 (/.f64 a b)) #s(literal 2 binary64))))
(*.f64 (-.f64 (/.f64 (pow.f64 (log.f64 a) #s(literal 6 binary64)) (pow.f64 (log.f64 (/.f64 a b)) #s(literal 3 binary64))) (/.f64 (pow.f64 (log.f64 b) #s(literal 6 binary64)) (pow.f64 (log.f64 (/.f64 a b)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 a) #s(literal 2 binary64)) (log.f64 (/.f64 a b))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 b) #s(literal 2 binary64)) (log.f64 (/.f64 a b))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (log.f64 a) #s(literal 2 binary64)) (log.f64 (/.f64 a b))) (/.f64 (pow.f64 (log.f64 b) #s(literal 2 binary64)) (log.f64 (/.f64 a b))))))))
(*.f64 (*.f64 (+.f64 (/.f64 (pow.f64 (log.f64 a) #s(literal 2 binary64)) (log.f64 (/.f64 a b))) (/.f64 (pow.f64 (log.f64 b) #s(literal 2 binary64)) (log.f64 (/.f64 a b)))) (log.f64 (*.f64 a b))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 (log.f64 a) #s(literal 2 binary64)) (log.f64 (/.f64 a b))) (/.f64 (pow.f64 (log.f64 b) #s(literal 2 binary64)) (log.f64 (/.f64 a b))))))
(*.f64 (/.f64 (+.f64 (pow.f64 (log.f64 a) #s(literal 9 binary64)) (pow.f64 (log.f64 b) #s(literal 9 binary64))) (fma.f64 (log.f64 a) (log.f64 (/.f64 a b)) (pow.f64 (log.f64 b) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (pow.f64 (log.f64 a) #s(literal 6 binary64)) (pow.f64 (log.f64 b) #s(literal 6 binary64))) (pow.f64 (*.f64 (log.f64 a) (log.f64 b)) #s(literal 3 binary64)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (log.f64 a) #s(literal 6 binary64)) (pow.f64 (log.f64 b) #s(literal 6 binary64))) (fma.f64 (log.f64 a) (log.f64 (/.f64 a b)) (pow.f64 (log.f64 b) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (log.f64 a) #s(literal 3 binary64)) (pow.f64 (log.f64 b) #s(literal 3 binary64)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (log.f64 a) #s(literal 6 binary64)) (pow.f64 (log.f64 b) #s(literal 6 binary64))) (log.f64 (/.f64 a b))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (pow.f64 (log.f64 a) #s(literal 4 binary64)) (pow.f64 (log.f64 b) #s(literal 4 binary64))) (pow.f64 (*.f64 (log.f64 a) (log.f64 b)) #s(literal 2 binary64)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (log.f64 a) #s(literal 4 binary64)) (pow.f64 (log.f64 b) #s(literal 4 binary64))) (log.f64 (/.f64 a b))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 a) #s(literal 2 binary64)) (pow.f64 (log.f64 b) #s(literal 2 binary64)))))
(*.f64 (/.f64 (+.f64 (pow.f64 (log.f64 a) #s(literal 3 binary64)) (pow.f64 (log.f64 b) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 a) #s(literal 6 binary64)) (pow.f64 (*.f64 (log.f64 b) (log.f64 (/.f64 b a))) #s(literal 3 binary64)))) (fma.f64 (*.f64 (log.f64 b) (log.f64 (/.f64 b a))) (fma.f64 (log.f64 b) (log.f64 (/.f64 b a)) (neg.f64 (pow.f64 (log.f64 a) #s(literal 2 binary64)))) (pow.f64 (log.f64 a) #s(literal 4 binary64))))
(*.f64 (/.f64 (+.f64 (pow.f64 (log.f64 a) #s(literal 3 binary64)) (pow.f64 (log.f64 b) #s(literal 3 binary64))) (-.f64 (pow.f64 (log.f64 a) #s(literal 4 binary64)) (pow.f64 (*.f64 (log.f64 b) (log.f64 (/.f64 b a))) #s(literal 2 binary64)))) (+.f64 (pow.f64 (log.f64 a) #s(literal 2 binary64)) (*.f64 (log.f64 b) (log.f64 (/.f64 a b)))))
(*.f64 (/.f64 (*.f64 (log.f64 (*.f64 a b)) (log.f64 (/.f64 a b))) (-.f64 (pow.f64 (log.f64 a) #s(literal 3 binary64)) (pow.f64 (log.f64 b) #s(literal 3 binary64)))) (fma.f64 (log.f64 b) (log.f64 (*.f64 a b)) (pow.f64 (log.f64 a) #s(literal 2 binary64))))
(*.f64 (pow.f64 (/.f64 (log.f64 (/.f64 a b)) (-.f64 (pow.f64 (log.f64 a) #s(literal 6 binary64)) (pow.f64 (log.f64 b) #s(literal 6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (pow.f64 (log.f64 a) #s(literal 4 binary64)) (pow.f64 (log.f64 b) #s(literal 4 binary64))) (pow.f64 (*.f64 (log.f64 a) (log.f64 b)) #s(literal 2 binary64)))))
(*.f64 (pow.f64 (/.f64 (log.f64 (/.f64 a b)) (-.f64 (pow.f64 (log.f64 a) #s(literal 4 binary64)) (pow.f64 (log.f64 b) #s(literal 4 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 a) #s(literal 2 binary64)) (pow.f64 (log.f64 b) #s(literal 2 binary64)))))
(*.f64 (pow.f64 (/.f64 (fma.f64 (log.f64 a) (log.f64 (/.f64 a b)) (pow.f64 (log.f64 b) #s(literal 2 binary64))) (+.f64 (pow.f64 (log.f64 a) #s(literal 9 binary64)) (pow.f64 (log.f64 b) #s(literal 9 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (pow.f64 (log.f64 a) #s(literal 6 binary64)) (pow.f64 (log.f64 b) #s(literal 6 binary64))) (pow.f64 (*.f64 (log.f64 a) (log.f64 b)) #s(literal 3 binary64)))))
(*.f64 (pow.f64 (/.f64 (fma.f64 (log.f64 a) (log.f64 (/.f64 a b)) (pow.f64 (log.f64 b) #s(literal 2 binary64))) (-.f64 (pow.f64 (log.f64 a) #s(literal 6 binary64)) (pow.f64 (log.f64 b) #s(literal 6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (log.f64 a) #s(literal 3 binary64)) (pow.f64 (log.f64 b) #s(literal 3 binary64)))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 a b))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 a b))) #s(literal -1/2 binary64)))
(log.f64 a)
(exp.f64 (log.f64 (log.f64 a)))
(exp.f64 (*.f64 (log.f64 (log.f64 a)) #s(literal 1 binary64)))
(pow.f64 (log.f64 a) #s(literal 1 binary64))
(*.f64 (pow.f64 (log.f64 a) #s(literal 1/2 binary64)) (pow.f64 (log.f64 a) #s(literal 1/2 binary64)))
(log.f64 b)
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b)))
(exp.f64 (log.f64 (log.f64 b)))
(exp.f64 (*.f64 (log.f64 (log.f64 b)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (log.f64 b)))
(neg.f64 (neg.f64 (log.f64 b)))
(pow.f64 (log.f64 b) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (log.f64 b))
(*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 b)))
(*.f64 (pow.f64 (log.f64 b) #s(literal 1/2 binary64)) (pow.f64 (log.f64 b) #s(literal 1/2 binary64)))

eval108.0ms (4.2%)

Memory
-21.3MiB live, 53.6MiB allocated
Compiler

Compiled 7 831 to 793 computations (89.9% saved)

prune45.0ms (1.7%)

Memory
30.7MiB live, 67.4MiB 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 5 to 3 computations (40% saved)

simplify29.0ms (1.1%)

Memory
-41.4MiB live, 5.3MiB 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)
b
a

localize10.0ms (0.4%)

Memory
4.9MiB live, 4.9MiB allocated
Localize:

Found 1 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.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 (100.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series2.0ms (0.1%)

Memory
0.9MiB live, 0.9MiB 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
0.0ms
b
@0
(* b a)
0.0ms
a
@0
(* b a)
0.0ms
a
@inf
(* b a)
0.0ms
b
@inf
(* b a)
0.0ms
b
@-inf
(* b a)

simplify3.0ms (0.1%)

Memory
1.0MiB live, 1.0MiB 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 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)
(* a b)
(*.f64 a b)

rewrite8.0ms (0.3%)

Memory
9.5MiB live, 9.5MiB allocated
Algorithm
batch-egg-rewrite
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
(*.f64 b a)
(*.f64 a b)

eval2.0ms (0.1%)

Memory
4.1MiB live, 4.1MiB allocated
Compiler

Compiled 104 to 4 computations (96.2% saved)

prune2.0ms (0.1%)

Memory
3.2MiB live, 3.2MiB 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 16 to 10 computations (37.5% saved)

regimes41.0ms (1.6%)

Memory
-18.4MiB live, 21.0MiB allocated
Accuracy

Total -4.6b remaining (-∞%)

Threshold costs -4.6b (-∞%)

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:

32.0ms
b
3.0ms
a
2.0ms
(exp.f64 (+.f64 (log.f64 a) (log.f64 b)))
1.0ms
(+.f64 (log.f64 a) (log.f64 b))
1.0ms
(log.f64 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 29 to 21 computations (27.6% saved)

simplify5.0ms (0.2%)

Memory
8.8MiB live, 8.8MiB allocated
Algorithm
egg-herbie
Rules
*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

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

soundness97.0ms (3.8%)

Memory
18.6MiB live, 57.2MiB 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 16 to 10 computations (37.5% saved)

preprocess190.0ms (7.4%)

Memory
-21.5MiB live, 59.0MiB allocated
Remove

(sort a b)

(negabs a)

(negabs b)

Compiler

Compiled 66 to 42 computations (36.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...