Exp of sum of logs

Time bar (total: 2.8s)

analyze0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
1×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)

sample892.0ms (31.7%)

Memory
11.8MiB live, 1 071.1MiB allocated
Samples
703.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 451.0ms
ival-log: 281.0ms (62.4% of total)
ival-exp: 95.0ms (21.1% of total)
ival-add: 65.0ms (14.4% of total)
ival-true: 6.0ms (1.3% of total)
ival-assert: 3.0ms (0.7% of total)
Bogosity

preprocess30.0ms (1.1%)

Memory
-18.7MiB live, 25.2MiB allocated
Algorithm
2×egg-herbie
Rules
28×distribute-lft-neg-in
18×neg-sub0
16×neg-mul-1
14×+-commutative
12×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01838
13820
27120
311220
416420
517020
066
1103
2133
0133
Stop Event
1×iter limit
1×saturated
1×saturated
Calls
Call 1
Inputs
(exp (+ (log a) (log b)))
Outputs
(exp (+ (log a) (log b)))
(*.f64 a b)
Call 2
Inputs
(exp (+ (log a) (log b)))
(exp (+ (log (neg a)) (log b)))
(exp (+ (log a) (log (neg b))))
(neg (exp (+ (log (neg a)) (log b))))
(neg (exp (+ (log a) (log (neg b)))))
(exp (+ (log b) (log a)))
Outputs
(exp (+ (log a) (log b)))
(* a b)
(exp (+ (log (neg a)) (log b)))
(* a (neg b))
(exp (+ (log a) (log (neg b))))
(* a (neg b))
(neg (exp (+ (log (neg a)) (log b))))
(* a b)
(neg (exp (+ (log a) (log (neg b)))))
(* a b)
(exp (+ (log b) (log a)))
(* a b)
Symmetry

(negabs a)

(negabs b)

(sort a b)

explain87.0ms (3.1%)

Memory
24.9MiB live, 142.2MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
14015(2.611262677540462e-277 9.895438940136069e-40)17(1.7999606377624347e-83 7.148910601484587e+39)(exp.f64 (+.f64 (log.f64 a) (log.f64 b)))
51(8.833699672418064e-286 3.6386383639094483e+282)2(5.850720387494222e-244 2.154571883882162e+247)(+.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)))sensitivity13834
+.f64(+.f64 (log.f64 a) (log.f64 b))cancellation44
Confusion
Predicted +Predicted -
+13540
-774
Precision
0.9507042253521126
Recall
0.7714285714285715
Confusion?
Predicted +Predicted MaybePredicted -
+135346
-7470
Precision?
0.9388888888888889
Recall?
0.9657142857142857
Freqs
test
numberfreq
0114
1142
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
43.0ms512×0valid
Compiler

Compiled 54 to 28 computations (48.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-log: 12.0ms (57.1% of total)
ival-exp: 6.0ms (28.6% of total)
ival-add: 3.0ms (14.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
2.4MiB live, 2.4MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶92.4%
(exp.f64 (+.f64 (log.f64 a) (log.f64 b)))
Compiler

Compiled 8 to 6 computations (25% saved)

simplify3.0ms (0.1%)

Memory
8.8MiB live, 8.8MiB allocated
Algorithm
1×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
6×exp-lowering-exp.f32
6×exp-lowering-exp.f64
4×+-lowering-+.f64
4×log-lowering-log.f64
4×*-lowering-*.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0617
11014
21314
01314
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(exp (+ (log a) (log b)))
(+ (log a) (log b))
(log a)
a
(log b)
b
Outputs
(exp (+ (log a) (log b)))
(*.f64 a b)
(+ (log a) (log b))
(+.f64 (log.f64 a) (log.f64 b))
(log a)
(log.f64 a)
a
(log b)
(log.f64 b)
b

localize26.0ms (0.9%)

Memory
1.3MiB live, 42.8MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(log.f64 b)
✓accuracy100.0%
(log.f64 a)
✓accuracy98.9%
(+.f64 (log.f64 a) (log.f64 b))
✓accuracy94.1%
(exp.f64 (+.f64 (log.f64 a) (log.f64 b)))
Samples
19.0ms256×0valid
Compiler

Compiled 19 to 8 computations (57.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-log: 8.0ms (64.5% of total)
ival-exp: 3.0ms (24.2% of total)
ival-add: 1.0ms (8.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series182.0ms (6.5%)

Memory
-17.0MiB live, 211.7MiB allocated
Counts
4 → 72
Calls
Call 1
Inputs
#<alt (exp (+ (log a) (log b)))>
#<alt (+ (log a) (log b))>
#<alt (log a)>
#<alt (log b)>
Outputs
#<alt (exp (+ (log a) (log b)))>
#<alt (exp (+ (log a) (log b)))>
#<alt (exp (+ (log a) (log b)))>
#<alt (exp (+ (log a) (log b)))>
#<alt (exp (+ (log b) (* -1 (log (/ 1 a)))))>
#<alt (exp (+ (log b) (* -1 (log (/ 1 a)))))>
#<alt (exp (+ (log b) (* -1 (log (/ 1 a)))))>
#<alt (exp (+ (log b) (* -1 (log (/ 1 a)))))>
#<alt (exp (+ (log -1) (+ (log b) (* -1 (log (/ -1 a))))))>
#<alt (exp (+ (log -1) (+ (log b) (* -1 (log (/ -1 a))))))>
#<alt (exp (+ (log -1) (+ (log b) (* -1 (log (/ -1 a))))))>
#<alt (exp (+ (log -1) (+ (log b) (* -1 (log (/ -1 a))))))>
#<alt (exp (+ (log a) (log b)))>
#<alt (exp (+ (log a) (log b)))>
#<alt (exp (+ (log a) (log b)))>
#<alt (exp (+ (log a) (log b)))>
#<alt (exp (+ (log a) (* -1 (log (/ 1 b)))))>
#<alt (exp (+ (log a) (* -1 (log (/ 1 b)))))>
#<alt (exp (+ (log a) (* -1 (log (/ 1 b)))))>
#<alt (exp (+ (log a) (* -1 (log (/ 1 b)))))>
#<alt (exp (+ (log -1) (+ (log a) (* -1 (log (/ -1 b))))))>
#<alt (exp (+ (log -1) (+ (log a) (* -1 (log (/ -1 b))))))>
#<alt (exp (+ (log -1) (+ (log a) (* -1 (log (/ -1 b))))))>
#<alt (exp (+ (log -1) (+ (log a) (* -1 (log (/ -1 b))))))>
#<alt (+ (log a) (log b))>
#<alt (+ (log a) (log b))>
#<alt (+ (log a) (log b))>
#<alt (+ (log a) (log b))>
#<alt (+ (log b) (* -1 (log (/ 1 a))))>
#<alt (+ (log b) (* -1 (log (/ 1 a))))>
#<alt (+ (log b) (* -1 (log (/ 1 a))))>
#<alt (+ (log b) (* -1 (log (/ 1 a))))>
#<alt (+ (log -1) (+ (log b) (* -1 (log (/ -1 a)))))>
#<alt (+ (log -1) (+ (log b) (* -1 (log (/ -1 a)))))>
#<alt (+ (log -1) (+ (log b) (* -1 (log (/ -1 a)))))>
#<alt (+ (log -1) (+ (log b) (* -1 (log (/ -1 a)))))>
#<alt (+ (log a) (log b))>
#<alt (+ (log a) (log b))>
#<alt (+ (log a) (log b))>
#<alt (+ (log a) (log b))>
#<alt (+ (log a) (* -1 (log (/ 1 b))))>
#<alt (+ (log a) (* -1 (log (/ 1 b))))>
#<alt (+ (log a) (* -1 (log (/ 1 b))))>
#<alt (+ (log a) (* -1 (log (/ 1 b))))>
#<alt (+ (log -1) (+ (log a) (* -1 (log (/ -1 b)))))>
#<alt (+ (log -1) (+ (log a) (* -1 (log (/ -1 b)))))>
#<alt (+ (log -1) (+ (log a) (* -1 (log (/ -1 b)))))>
#<alt (+ (log -1) (+ (log a) (* -1 (log (/ -1 b)))))>
#<alt (log a)>
#<alt (log a)>
#<alt (log a)>
#<alt (log a)>
#<alt (* -1 (log (/ 1 a)))>
#<alt (* -1 (log (/ 1 a)))>
#<alt (* -1 (log (/ 1 a)))>
#<alt (* -1 (log (/ 1 a)))>
#<alt (+ (log -1) (* -1 (log (/ -1 a))))>
#<alt (+ (log -1) (* -1 (log (/ -1 a))))>
#<alt (+ (log -1) (* -1 (log (/ -1 a))))>
#<alt (+ (log -1) (* -1 (log (/ -1 a))))>
#<alt (log b)>
#<alt (log b)>
#<alt (log b)>
#<alt (log b)>
#<alt (* -1 (log (/ 1 b)))>
#<alt (* -1 (log (/ 1 b)))>
#<alt (* -1 (log (/ 1 b)))>
#<alt (* -1 (log (/ 1 b)))>
#<alt (+ (log -1) (* -1 (log (/ -1 b))))>
#<alt (+ (log -1) (* -1 (log (/ -1 b))))>
#<alt (+ (log -1) (* -1 (log (/ -1 b))))>
#<alt (+ (log -1) (* -1 (log (/ -1 b))))>
Calls

18 calls:

TimeVariablePointExpression
81.0ms
a
@0
(exp (+ (log a) (log b)))
40.0ms
a
@-inf
(exp (+ (log a) (log b)))
25.0ms
b
@-inf
(exp (+ (log a) (log b)))
21.0ms
b
@0
(exp (+ (log a) (log b)))
7.0ms
a
@inf
(exp (+ (log a) (log b)))

rewrite432.0ms (15.4%)

Memory
28.7MiB live, 620.7MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
7 112×accelerator-lowering-fma.f32
7 112×accelerator-lowering-fma.f64
4 202×*-lowering-*.f32
4 202×*-lowering-*.f64
4 178×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0613
12511
214011
3126611
0898111
Stop Event
1×iter limit
1×node limit
Counts
4 → 239
Calls
Call 1
Inputs
(exp (+ (log a) (log b)))
(+ (log a) (log b))
(log a)
(log 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 b a)))))
(/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) (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 b a))))
(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)) (-.f64 #s(literal 0 binary64) (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 #s(literal 1 binary64)) (log.f64 (*.f64 a b)))
(pow.f64 (exp.f64 (-.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 b) #s(literal 3 binary64))) (pow.f64 (log.f64 a) #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 (log.f64 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 b a)))) (*.f64 (log.f64 (*.f64 a b)) (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)) (-.f64 #s(literal 0 binary64) (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 b a))) #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 b a))) #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))))
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(*.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)))))
(*.f64 (*.f64 (log.f64 (*.f64 a b)) (log.f64 (/.f64 a b))) (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 b a))))
(*.f64 (-.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 b) #s(literal 3 binary64))) (pow.f64 (log.f64 a) #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (log.f64 a) (log.f64 (/.f64 a b)) (pow.f64 (log.f64 b) #s(literal 2 binary64)))))
(*.f64 (*.f64 (log.f64 (*.f64 a b)) (log.f64 (/.f64 b a))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 b a))))
(*.f64 (+.f64 (pow.f64 (log.f64 a) #s(literal 9 binary64)) (pow.f64 (log.f64 b) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (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))) (pow.f64 (*.f64 (log.f64 a) (log.f64 b)) #s(literal 3 binary64))))))
(*.f64 (+.f64 (pow.f64 (log.f64 a) #s(literal 9 binary64)) (pow.f64 (log.f64 b) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (-.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))) (fma.f64 (log.f64 a) (log.f64 (/.f64 a b)) (pow.f64 (log.f64 b) #s(literal 2 binary64))))))
(*.f64 #s(literal 1 binary64) (log.f64 (*.f64 a 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 (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)))) (log.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) (log.f64 (/.f64 b a))) (*.f64 (log.f64 (*.f64 a b)) (log.f64 (/.f64 a b))))
(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 b a))) (log.f64 (pow.f64 (*.f64 a b) (log.f64 (/.f64 a b)))))
(*.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 (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))))))
(*.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 (pow.f64 (log.f64 a) #s(literal 4 binary64)) (+.f64 (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 (pow.f64 (log.f64 a) #s(literal 4 binary64)) (+.f64 (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) (-.f64 #s(literal 0 binary64) (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 (pow.f64 (/.f64 (pow.f64 (log.f64 a) #s(literal 2 binary64)) (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 (pow.f64 (log.f64 a) #s(literal 4 binary64)) (+.f64 (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)) (-.f64 #s(literal 0 binary64) (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 (pow.f64 (log.f64 a) #s(literal 4 binary64)) (+.f64 (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) (-.f64 #s(literal 0 binary64) (log.f64 b)))
(neg.f64 (-.f64 #s(literal 0 binary64) (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) (-.f64 #s(literal 0 binary64) (log.f64 b)))
(*.f64 (pow.f64 (log.f64 b) #s(literal 1/2 binary64)) (pow.f64 (log.f64 b) #s(literal 1/2 binary64)))

simplify624.0ms (22.2%)

Memory
-36.5MiB live, 420.4MiB allocated
Algorithm
1×egg-herbie
Rules
9 264×accelerator-lowering-fma.f32
9 264×accelerator-lowering-fma.f64
1 876×--lowering--.f32
1 876×--lowering--.f64
1 760×+-lowering-+.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
1×iter limit
1×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)))
(fma.f64 a b #s(literal 0 binary64))
(exp (+ (log a) (log b)))
(fma.f64 a b #s(literal 0 binary64))
(exp (+ (log a) (log b)))
(fma.f64 a b #s(literal 0 binary64))
(exp (+ (log a) (log b)))
(fma.f64 a b #s(literal 0 binary64))
(exp (+ (log b) (* -1 (log (/ 1 a)))))
(fma.f64 a b #s(literal 0 binary64))
(exp (+ (log b) (* -1 (log (/ 1 a)))))
(fma.f64 a b #s(literal 0 binary64))
(exp (+ (log b) (* -1 (log (/ 1 a)))))
(fma.f64 a b #s(literal 0 binary64))
(exp (+ (log b) (* -1 (log (/ 1 a)))))
(fma.f64 a b #s(literal 0 binary64))
(exp (+ (log -1) (+ (log b) (* -1 (log (/ -1 a))))))
(fma.f64 a b #s(literal 0 binary64))
(exp (+ (log -1) (+ (log b) (* -1 (log (/ -1 a))))))
(fma.f64 a b #s(literal 0 binary64))
(exp (+ (log -1) (+ (log b) (* -1 (log (/ -1 a))))))
(fma.f64 a b #s(literal 0 binary64))
(exp (+ (log -1) (+ (log b) (* -1 (log (/ -1 a))))))
(fma.f64 a b #s(literal 0 binary64))
(exp (+ (log a) (log b)))
(fma.f64 a b #s(literal 0 binary64))
(exp (+ (log a) (log b)))
(fma.f64 a b #s(literal 0 binary64))
(exp (+ (log a) (log b)))
(fma.f64 a b #s(literal 0 binary64))
(exp (+ (log a) (log b)))
(fma.f64 a b #s(literal 0 binary64))
(exp (+ (log a) (* -1 (log (/ 1 b)))))
(fma.f64 a b #s(literal 0 binary64))
(exp (+ (log a) (* -1 (log (/ 1 b)))))
(fma.f64 a b #s(literal 0 binary64))
(exp (+ (log a) (* -1 (log (/ 1 b)))))
(fma.f64 a b #s(literal 0 binary64))
(exp (+ (log a) (* -1 (log (/ 1 b)))))
(fma.f64 a b #s(literal 0 binary64))
(exp (+ (log -1) (+ (log a) (* -1 (log (/ -1 b))))))
(fma.f64 a b #s(literal 0 binary64))
(exp (+ (log -1) (+ (log a) (* -1 (log (/ -1 b))))))
(fma.f64 a b #s(literal 0 binary64))
(exp (+ (log -1) (+ (log a) (* -1 (log (/ -1 b))))))
(fma.f64 a b #s(literal 0 binary64))
(exp (+ (log -1) (+ (log a) (* -1 (log (/ -1 b))))))
(fma.f64 a b #s(literal 0 binary64))
(+ (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)

eval113.0ms (4%)

Memory
18.6MiB live, 56.1MiB allocated
Compiler

Compiled 7 836 to 795 computations (89.9% saved)

prune56.0ms (2%)

Memory
13.1MiB live, 50.8MiB 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)

simplify20.0ms (0.7%)

Memory
-35.4MiB live, 3.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 1 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 b a)
Rules
4×*-lowering-*.f32
4×*-lowering-*.f64
2×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035
145
045
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(* b a)
b
a
Outputs
(* b a)
(*.f64 b a)
b
a

localize10.0ms (0.4%)

Memory
14.3MiB live, 14.3MiB 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 (102.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series2.0ms (0.1%)

Memory
2.6MiB live, 2.6MiB allocated
Counts
1 → 24
Calls
Call 1
Inputs
#<alt (* b a)>
Outputs
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
#<alt (* a b)>
Calls

6 calls:

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

rewrite7.0ms (0.3%)

Memory
7.8MiB live, 7.8MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4×*-lowering-*.f32
4×*-lowering-*.f64
2×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033
143
043
Stop Event
1×iter limit
1×saturated
Counts
1 → 2
Calls
Call 1
Inputs
(* b a)
Outputs
(*.f64 b a)
(*.f64 a b)

simplify4.0ms (0.1%)

Memory
5.2MiB live, 5.2MiB allocated
Algorithm
1×egg-herbie
Rules
4×*-lowering-*.f32
4×*-lowering-*.f64
2×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0372
1472
0472
Stop Event
1×iter limit
1×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)

eval2.0ms (0.1%)

Memory
3.4MiB live, 3.4MiB allocated
Compiler

Compiled 80 to 4 computations (95% saved)

prune1.0ms (0%)

Memory
2.0MiB live, 2.0MiB 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)

regimes34.0ms (1.2%)

Memory
-29.1MiB live, 12.0MiB allocated
Accuracy

Total -4.9b remaining (-∞%)

Threshold costs -4.9b (-∞%)

Counts
2 → 1
Calls
Call 1
Inputs
(*.f64 b a)
(exp.f64 (+.f64 (log.f64 a) (log.f64 b)))
Outputs
(*.f64 b a)
Calls

6 calls:

26.0ms
(log.f64 a)
2.0ms
(+.f64 (log.f64 a) (log.f64 b))
1.0ms
(log.f64 b)
1.0ms
a
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 29 to 21 computations (27.6% saved)

simplify6.0ms (0.2%)

Memory
4.7MiB live, 4.7MiB allocated
Algorithm
1×egg-herbie
Rules
2×*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

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

soundness118.0ms (4.2%)

Memory
20.1MiB live, 55.1MiB allocated
Rules
7 112×accelerator-lowering-fma.f32
7 112×accelerator-lowering-fma.f64
4 202×*-lowering-*.f32
4 202×*-lowering-*.f64
4 178×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0613
12511
214011
3126611
0898111
Stop Event
1×done
1×iter limit
1×node limit
Compiler

Compiled 10 to 6 computations (40% saved)

preprocess164.0ms (5.8%)

Memory
-3.1MiB live, 76.0MiB allocated
Remove

(sort a b)

(negabs b)

(negabs a)

Compiler

Compiled 66 to 42 computations (36.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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