Exp of sum of logs

Time bar (total: 1.8s)

start0.0ms (0%)

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

analyze1.0ms (0%)

Memory
0.8MiB live, 0.8MiB 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)

sample810.0ms (46%)

Memory
18.5MiB live, 579.2MiB allocated; 128ms collecting garbage
Samples
534.0ms8 255×0valid
0.0ms1valid
Precisions
Click to see histograms. Total time spent on operations: 324.0ms
ival-log: 180.0ms (55.5% of total)
ival-exp: 83.0ms (25.6% of total)
ival-add: 56.0ms (17.3% of total)
ival-assert: 3.0ms (0.9% of total)
adjust: 2.0ms (0.6% of total)
Bogosity

explain97.0ms (5.5%)

Memory
-5.8MiB live, 233.1MiB allocated; 33ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
15419(2.928766639328802e-11 1.0410212780855252e-71)11(2.281962518492646e+201 2.730892629737704e-165)(exp.f64 (+.f64 (log.f64 a) (log.f64 b)))
50-3(5.787946228551738e-299 1.4778346340033796e+293)(+.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)))sensitivity16227
+.f64(+.f64 (log.f64 a) (log.f64 b))cancellation24
Confusion
Predicted +Predicted -
+15132
-1360
Precision
0.9207317073170732
Recall
0.825136612021858
Confusion?
Predicted +Predicted MaybePredicted -
+151275
-13456
Precision?
0.9128205128205128
Recall?
0.9726775956284153
Freqs
test
numberfreq
092
1164
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
50.0ms512×0valid
Compiler

Compiled 44 to 22 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
ival-add: 14.0ms (45.8% of total)
ival-log: 11.0ms (36% of total)
ival-exp: 5.0ms (16.4% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess236.0ms (13.4%)

Memory
18.3MiB live, 201.9MiB allocated; 31ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01838
14120
29620
330120
4134320
066
0106
1173
2363
3883
43663
533223
095313
Stop Event
iter limit
node limit
iter limit
node limit
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 a)

(negabs b)

(sort a b)

Compiler

Compiled 6 to 6 computations (0% saved)

eval0.0ms (0%)

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

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
92.0%
(exp.f64 (+.f64 (log.f64 a) (log.f64 b)))
Compiler

Compiled 6 to 6 computations (0% saved)

series158.0ms (9%)

Memory
-21.0MiB live, 172.5MiB allocated; 27ms 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
54.0ms
a
@-inf
((exp (+ (log a) (log b))) (+ (log a) (log b)) (log a) a (log b) b)
43.0ms
a
@0
((exp (+ (log a) (log b))) (+ (log a) (log b)) (log a) a (log b) b)
22.0ms
b
@0
((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)
12.0ms
b
@inf
((exp (+ (log a) (log b))) (+ (log a) (log b)) (log a) a (log b) b)

rewrite232.0ms (13.2%)

Memory
19.2MiB live, 178.1MiB allocated; 108ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
055239
059151
1238129
21926129
09031129
Stop Event
iter limit
node limit
iter limit
Counts
24 → 290
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 (/.f64 (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (fma.f64 (neg.f64 (sqrt.f64 (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (neg.f64 (sqrt.f64 (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (fma.f64 (fabs.f64 (-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 a)) (log.f64 b))) (fabs.f64 (-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 a)) (log.f64 b))) (fma.f64 (*.f64 (log.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 a)) (*.f64 (log.f64 b) (log.f64 #s(literal -1 binary64)))))))) (exp.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 a)) #s(literal -1 binary64) (log.f64 b)) #s(literal 3 binary64)) (fma.f64 (neg.f64 (sqrt.f64 (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (neg.f64 (sqrt.f64 (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (fma.f64 (fabs.f64 (-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 a)) (log.f64 b))) (fabs.f64 (-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 a)) (log.f64 b))) (fma.f64 (*.f64 (log.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 a)) (*.f64 (log.f64 b) (log.f64 #s(literal -1 binary64)))))))))
(*.f64 (exp.f64 (/.f64 (pow.f64 (log.f64 b) #s(literal 3 binary64)) (fma.f64 (pow.f64 (log.f64 b) #s(literal 1 binary64)) (pow.f64 (log.f64 b) #s(literal 1 binary64)) (*.f64 (log.f64 a) (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 a)) #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (log.f64 b))))))) (exp.f64 (/.f64 (pow.f64 (log.f64 a) #s(literal 3 binary64)) (fma.f64 (pow.f64 (log.f64 b) #s(literal 1 binary64)) (pow.f64 (log.f64 b) #s(literal 1 binary64)) (*.f64 (log.f64 a) (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 a)) #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (log.f64 b))))))))
(*.f64 (exp.f64 (/.f64 (pow.f64 (log.f64 a) #s(literal 3 binary64)) (fma.f64 (pow.f64 (log.f64 a) #s(literal 1 binary64)) (pow.f64 (log.f64 a) #s(literal 1 binary64)) (*.f64 (log.f64 b) (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 b)) #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (log.f64 a))))))) (exp.f64 (/.f64 (pow.f64 (log.f64 b) #s(literal 3 binary64)) (fma.f64 (pow.f64 (log.f64 a) #s(literal 1 binary64)) (pow.f64 (log.f64 a) #s(literal 1 binary64)) (*.f64 (log.f64 b) (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 b)) #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (log.f64 a))))))))
(*.f64 (exp.f64 (/.f64 (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (fma.f64 (sqrt.f64 (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 a)) #s(literal -1 binary64) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -1 binary64)))) (-.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 a)) #s(literal -1 binary64) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -1 binary64)))) (log.f64 #s(literal -1 binary64))))))) (exp.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 a)) #s(literal -1 binary64) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -1 binary64)))) #s(literal 3 binary64)) (fma.f64 (sqrt.f64 (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 a)) #s(literal -1 binary64) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -1 binary64)))) (-.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 a)) #s(literal -1 binary64) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -1 binary64)))) (log.f64 #s(literal -1 binary64))))))))
(*.f64 (*.f64 #s(literal -1 binary64) b) (*.f64 (pow.f64 (pow.f64 (neg.f64 a) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (neg.f64 a) #s(literal -1 binary64)) #s(literal -1/2 binary64))))
(*.f64 (*.f64 #s(literal -1 binary64) a) (pow.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -1 binary64)))
(*.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -1 binary64)) a) #s(literal -1 binary64))
(*.f64 (/.f64 (neg.f64 b) (pow.f64 a #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 (*.f64 (pow.f64 (pow.f64 (neg.f64 a) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (neg.f64 a) #s(literal -1 binary64)) #s(literal -1/2 binary64))) (*.f64 #s(literal -1 binary64) b))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) a))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -1 binary64)) a))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 b) (pow.f64 a #s(literal -1 binary64))))
(*.f64 b a)
(*.f64 a b)
(pow.f64 (*.f64 (pow.f64 b #s(literal -1 binary64)) (pow.f64 a #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (*.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 b #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 b)) #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (log.f64 a))))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 (*.f64 #s(literal -1 binary64) (log.f64 a)) #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (log.f64 b))))
(pow.f64 (*.f64 b a) #s(literal 1 binary64))
(/.f64 (fma.f64 (*.f64 (sinh.f64 (fma.f64 #s(literal 1 binary64) (log.f64 b) (log.f64 a))) (sinh.f64 (fma.f64 #s(literal 1 binary64) (log.f64 b) (log.f64 a)))) (sinh.f64 (fma.f64 #s(literal 1 binary64) (log.f64 b) (log.f64 a))) (/.f64 (pow.f64 (fma.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -1 binary64)) a) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b a))) #s(literal 3 binary64)) #s(literal 8 binary64))) (fma.f64 (neg.f64 (sinh.f64 (fma.f64 #s(literal 1 binary64) (log.f64 b) (log.f64 a)))) (neg.f64 (sinh.f64 (fma.f64 #s(literal 1 binary64) (log.f64 b) (log.f64 a)))) (-.f64 (*.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -1 binary64)) a) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b a))) #s(literal 2 binary64)) (/.f64 (fma.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -1 binary64)) a) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b a))) #s(literal 2 binary64))) (*.f64 (sinh.f64 (fma.f64 #s(literal 1 binary64) (log.f64 b) (log.f64 a))) (/.f64 (fma.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -1 binary64)) a) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b a))) #s(literal 2 binary64))))))
(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (fma.f64 #s(literal 1 binary64) (log.f64 b) (log.f64 a))) (fma.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -1 binary64)) a) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b a)))) #s(literal 2 binary64))
(/.f64 (+.f64 (fma.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -1 binary64)) a) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b a))) (-.f64 (*.f64 b a) (/.f64 #s(literal 1 binary64) (*.f64 b a)))) #s(literal 2 binary64))
(/.f64 (neg.f64 (+.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -1 binary64)) a) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b a))) #s(literal 3 binary64)) #s(literal 8 binary64)) (pow.f64 (sinh.f64 (fma.f64 #s(literal 1 binary64) (log.f64 b) (log.f64 a))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -1 binary64)) a) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b a))) #s(literal 2 binary64))) (neg.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -1 binary64)) a) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b a))) #s(literal 2 binary64))) (-.f64 (*.f64 (sinh.f64 (fma.f64 #s(literal 1 binary64) (log.f64 b) (log.f64 a))) (sinh.f64 (fma.f64 #s(literal 1 binary64) (log.f64 b) (log.f64 a)))) (*.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -1 binary64)) a) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b a))) #s(literal 2 binary64)) (sinh.f64 (fma.f64 #s(literal 1 binary64) (log.f64 b) (log.f64 a))))))))
(/.f64 (fma.f64 (-.f64 (*.f64 b a) (/.f64 #s(literal 1 binary64) (*.f64 b a))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -1 binary64)) a) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b a))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -1 binary64)) a) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b a))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 b a) (/.f64 #s(literal 1 binary64) (*.f64 b a))))) #s(literal 4 binary64))
(/.f64 (exp.f64 (/.f64 (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (/.f64 (fma.f64 (-.f64 (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal -1 binary64) (log.f64 b)) #s(literal 2 binary64))) (fma.f64 #s(literal 3 binary64) (log.f64 #s(literal -1 binary64)) (log.f64 a)) (*.f64 (fma.f64 #s(literal 3 binary64) (log.f64 #s(literal -1 binary64)) (log.f64 b)) (-.f64 (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal -1 binary64) (log.f64 a)) #s(literal 2 binary64))))) (*.f64 (fma.f64 #s(literal 3 binary64) (log.f64 #s(literal -1 binary64)) (log.f64 b)) (fma.f64 #s(literal 3 binary64) (log.f64 #s(literal -1 binary64)) (log.f64 a)))))) (exp.f64 (/.f64 (*.f64 (fabs.f64 (-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 a)) (log.f64 b))) (fabs.f64 (-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 a)) (log.f64 b)))) (/.f64 (fma.f64 (-.f64 (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal -1 binary64) (log.f64 b)) #s(literal 2 binary64))) (fma.f64 #s(literal 3 binary64) (log.f64 #s(literal -1 binary64)) (log.f64 a)) (*.f64 (fma.f64 #s(literal 3 binary64) (log.f64 #s(literal -1 binary64)) (log.f64 b)) (-.f64 (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal -1 binary64) (log.f64 a)) #s(literal 2 binary64))))) (*.f64 (fma.f64 #s(literal 3 binary64) (log.f64 #s(literal -1 binary64)) (log.f64 b)) (fma.f64 #s(literal 3 binary64) (log.f64 #s(literal -1 binary64)) (log.f64 a)))))))
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(neg.f64 (*.f64 #s(literal -1 binary64) (log.f64 b)))
(fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 b)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))
(fma.f64 #s(literal 3 binary64) (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -1 binary64))))
(fma.f64 #s(literal -1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 b)) (log.f64 #s(literal -1 binary64)))
(-.f64 (/.f64 (*.f64 (log.f64 (neg.f64 b)) (log.f64 (neg.f64 b))) (-.f64 (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -1 binary64))) (log.f64 #s(literal -1 binary64)))) (/.f64 (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -1 binary64))) (log.f64 #s(literal -1 binary64)))))
(-.f64 (/.f64 (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (fma.f64 (sqrt.f64 (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (fma.f64 (fabs.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 b))) (fabs.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 b))) (*.f64 (log.f64 #s(literal -1 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 b)))))) (/.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 b)) (*.f64 (log.f64 (neg.f64 b)) (log.f64 (neg.f64 b)))) (fma.f64 (sqrt.f64 (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (fma.f64 (fabs.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 b))) (fabs.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 b))) (*.f64 (log.f64 #s(literal -1 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 b)))))))
(-.f64 (/.f64 (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -1 binary64))))) (/.f64 (*.f64 (log.f64 (neg.f64 b)) (log.f64 (neg.f64 b))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -1 binary64))))))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1 binary64) (log.f64 b)))
(-.f64 (log.f64 #s(literal -1 binary64)) (*.f64 (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -1 binary64))) #s(literal -1 binary64)))
(-.f64 (log.f64 #s(literal -1 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 b)))
(+.f64 (/.f64 (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (fma.f64 (fabs.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 b))) (fabs.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 b))) (-.f64 (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -1 binary64))) (log.f64 #s(literal -1 binary64)))))) (/.f64 (pow.f64 (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -1 binary64))) #s(literal 3 binary64)) (fma.f64 (fabs.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 b))) (fabs.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 b))) (-.f64 (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -1 binary64))) (log.f64 #s(literal -1 binary64)))))))
(+.f64 (/.f64 (pow.f64 (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -1 binary64))) #s(literal 3 binary64)) (fma.f64 (fabs.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 b))) (fabs.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 b))) (-.f64 (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -1 binary64))) (log.f64 #s(literal -1 binary64)))))) (/.f64 (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (fma.f64 (fabs.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 b))) (fabs.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 b))) (-.f64 (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -1 binary64))) (log.f64 #s(literal -1 binary64)))))))
(+.f64 (log.f64 (pow.f64 (pow.f64 b #s(literal -1 binary64)) #s(literal -1/2 binary64))) (log.f64 (pow.f64 (pow.f64 b #s(literal -1 binary64)) #s(literal -1/2 binary64))))
(+.f64 (/.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 b)) (*.f64 (log.f64 (neg.f64 b)) (log.f64 (neg.f64 b)))) (neg.f64 (fma.f64 (sqrt.f64 (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -1 binary64))) (-.f64 (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -1 binary64))) (log.f64 #s(literal -1 binary64))))))) (/.f64 (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (fma.f64 (sqrt.f64 (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -1 binary64))) (-.f64 (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -1 binary64))) (log.f64 #s(literal -1 binary64)))))))
(+.f64 (/.f64 (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (fma.f64 (sqrt.f64 (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -1 binary64))) (-.f64 (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -1 binary64))) (log.f64 #s(literal -1 binary64)))))) (/.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 b)) (*.f64 (log.f64 (neg.f64 b)) (log.f64 (neg.f64 b)))) (neg.f64 (fma.f64 (sqrt.f64 (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -1 binary64))) (-.f64 (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -1 binary64))) (log.f64 #s(literal -1 binary64))))))))
(+.f64 (/.f64 (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -1 binary64))))) (/.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 b)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -1 binary64)))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -1 binary64))))))
(+.f64 (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -1 binary64))) (log.f64 #s(literal -1 binary64)))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -1 binary64))))
(log.f64 b)
b
#s(approx (exp (+ (log a) (log b))) (*.f64 b a))
#s(approx (+ (log a) (log b)) (fma.f64 #s(literal 1 binary64) (log.f64 b) (log.f64 a)))
#s(approx (log a) (log.f64 a))
#s(approx a a)
#s(approx (exp (+ (log a) (log b))) (*.f64 b a))
#s(approx (+ (log a) (log b)) (fma.f64 #s(literal 1 binary64) (log.f64 b) (log.f64 a)))
#s(approx (log a) (log.f64 a))
#s(approx (exp (+ (log a) (log b))) (*.f64 b a))
#s(approx (+ (log a) (log b)) (fma.f64 #s(literal 1 binary64) (log.f64 b) (log.f64 a)))
#s(approx (log a) (log.f64 a))
#s(approx (log b) (log.f64 b))
#s(approx b b)
#s(approx (exp (+ (log a) (log b))) (*.f64 b a))
#s(approx (+ (log a) (log b)) (fma.f64 #s(literal 1 binary64) (log.f64 b) (log.f64 a)))
#s(approx (log b) (log.f64 b))
#s(approx (exp (+ (log a) (log b))) (*.f64 b a))
#s(approx (+ (log a) (log b)) (fma.f64 #s(literal 1 binary64) (log.f64 b) (log.f64 a)))
#s(approx (log b) (log.f64 b))

eval33.0ms (1.8%)

Memory
-7.6MiB live, 38.0MiB allocated; 4ms collecting garbage
Compiler

Compiled 15 351 to 1 213 computations (92.1% saved)

prune24.0ms (1.4%)

Memory
-16.8MiB live, 30.8MiB allocated; 1ms collecting garbage
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New2771278
Fresh000
Picked101
Done000
Total2781279
Accuracy
100.0%
Counts
279 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(pow.f64 (*.f64 b a) #s(literal 1 binary64))
Compiler

Compiled 5 to 5 computations (0% saved)

series3.0ms (0.2%)

Memory
2.9MiB live, 2.9MiB allocated; 0ms collecting garbage
Counts
5 → 4
Calls
Call 1
Inputs
(pow.f64 (*.f64 b a) #s(literal 1 binary64))
(*.f64 b a)
b
a
#s(literal 1 binary64)
Outputs
#s(approx (pow (* b a) 1) #s(hole binary64 (* a b)))
#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
((pow (* b a) 1) (* b a) b a 1)
1.0ms
b
@-inf
((pow (* b a) 1) (* b a) b a 1)
1.0ms
b
@inf
((pow (* b a) 1) (* b a) b a 1)
0.0ms
a
@inf
((pow (* b a) 1) (* b a) b a 1)
0.0ms
a
@0
((pow (* b a) 1) (* b a) b a 1)

rewrite21.0ms (1.2%)

Memory
11.8MiB live, 11.8MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01233
01329
12829
010129
Stop Event
iter limit
iter limit
iter limit
unsound
iter limit
Counts
9 → 29
Calls
Call 1
Inputs
(pow.f64 (*.f64 b a) #s(literal 1 binary64))
(*.f64 b a)
b
a
#s(literal 1 binary64)
#s(approx (pow (* b a) 1) #s(hole binary64 (* a b)))
#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 (neg.f64 (pow.f64 (*.f64 a b) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 (*.f64 a b) #s(literal 1/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 (*.f64 a b) #s(literal 1/2 binary64))) (fabs.f64 (pow.f64 (*.f64 a b) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (pow.f64 (*.f64 a b) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (*.f64 a b) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 a b) #s(literal 1/2 binary64)) (pow.f64 (*.f64 a b) #s(literal 1/2 binary64)))
(*.f64 a b)
(*.f64 b a)
(pow.f64 (*.f64 (*.f64 a b) (*.f64 a b)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 a b) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 a b) #s(literal 1 binary64))
(exp.f64 (+.f64 (log.f64 a) (log.f64 b)))
(+.f64 (cosh.f64 (+.f64 (log.f64 a) (log.f64 b))) (sinh.f64 (+.f64 (log.f64 a) (log.f64 b))))
(*.f64 (neg.f64 (pow.f64 (*.f64 a b) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 (*.f64 a b) #s(literal 1/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 (*.f64 a b) #s(literal 1/2 binary64))) (fabs.f64 (pow.f64 (*.f64 a b) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (pow.f64 (*.f64 a b) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (*.f64 a b) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 a b) #s(literal 1/2 binary64)) (pow.f64 (*.f64 a b) #s(literal 1/2 binary64)))
(*.f64 a b)
(*.f64 b a)
(pow.f64 (*.f64 (*.f64 a b) (*.f64 a b)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 a b) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 a b) #s(literal 1 binary64))
(exp.f64 (+.f64 (log.f64 a) (log.f64 b)))
(+.f64 (cosh.f64 (+.f64 (log.f64 a) (log.f64 b))) (sinh.f64 (+.f64 (log.f64 a) (log.f64 b))))
b
a
#s(literal 1 binary64)
#s(approx (pow (* b a) 1) (*.f64 a b))
#s(approx (pow (* b a) 1) (*.f64 a b))
#s(approx a a)
#s(approx b b)

eval2.0ms (0.1%)

Memory
2.9MiB live, 2.9MiB allocated; 0ms collecting garbage
Compiler

Compiled 136 to 37 computations (72.8% saved)

prune3.0ms (0.2%)

Memory
4.7MiB live, 4.7MiB allocated; 0ms collecting garbage
Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New17017
Fresh000
Picked011
Done000
Total17118
Accuracy
100.0%
Counts
18 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(pow.f64 (*.f64 b a) #s(literal 1 binary64))
Compiler

Compiled 16 to 14 computations (12.5% saved)

regimes8.0ms (0.5%)

Memory
15.9MiB live, 15.9MiB allocated; 0ms collecting garbage
Counts
2 → 1
Calls
Call 1
Inputs
(exp.f64 (+.f64 (log.f64 a) (log.f64 b)))
(pow.f64 (*.f64 b a) #s(literal 1 binary64))
Outputs
(pow.f64 (*.f64 b a) #s(literal 1 binary64))
Calls

6 calls:

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

regimes12.0ms (0.7%)

Memory
-39.0MiB live, 16.5MiB allocated; 6ms collecting garbage
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
(exp.f64 (+.f64 (log.f64 a) (log.f64 b)))
Outputs
(exp.f64 (+.f64 (log.f64 a) (log.f64 b)))
Calls

6 calls:

7.0ms
b
1.0ms
(log.f64 a)
1.0ms
a
1.0ms
(+.f64 (log.f64 a) (log.f64 b))
1.0ms
(log.f64 b)
Results
AccuracySegmentsBranch
92.0%1(log.f64 b)
92.0%1(log.f64 a)
92.0%1(+.f64 (log.f64 a) (log.f64 b))
92.0%1(exp.f64 (+.f64 (log.f64 a) (log.f64 b)))
92.0%1a
92.0%1b
Compiler

Compiled 17 to 21 computations (-23.5% saved)

simplify49.0ms (2.8%)

Memory
-3.3MiB live, 44.0MiB allocated; 4ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0911
11111
21411
32211
44511
521811
6218011
7527511
Stop Event
node limit
Calls
Call 1
Inputs
(pow.f64 (*.f64 b a) #s(literal 1 binary64))
(exp.f64 (+.f64 (log.f64 a) (log.f64 b)))
Outputs
(pow.f64 (*.f64 b a) #s(literal 1 binary64))
(exp.f64 (+.f64 (log.f64 a) (log.f64 b)))

derivations33.0ms (1.9%)

Memory
19.4MiB live, 19.4MiB allocated; 0ms collecting garbage
Stop Event
done
Compiler

Compiled 11 to 9 computations (18.2% saved)

preprocess39.0ms (2.2%)

Memory
-2.9MiB live, 44.3MiB allocated; 4ms collecting garbage
Remove

(sort a b)

(negabs b)

(negabs a)

Compiler

Compiled 94 to 90 computations (4.3% saved)

end0.0ms (0%)

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

Profiling

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