Numeric.SpecFunctions.Extra:bd0 from math-functions-0.1.5.2

Time bar (total: 11.5s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze84.0ms (0.7%)

Memory
-21.9MiB live, 174.4MiB 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%99.9%0.1%0%0%0%2
0%0%74.9%0.1%0%25%0%3
0%0%74.9%0.1%0%25%0%4
0%0%74.9%0.1%0%25%0%5
30%18.7%43.7%0.1%0%37.4%0%6
30%18.7%43.7%0.1%0%37.4%0%7
35%21.8%40.6%0.1%0%37.4%0%8
52.8%29.6%26.5%0.1%0%43.7%0%9
52.8%29.6%26.5%0.1%0%43.7%0%10
59.7%33.5%22.6%0.1%0%43.7%0%11
72.8%38.6%14.4%0.1%0%46.8%0%12
Compiler

Compiled 10 to 9 computations (10% saved)

sample1.3s (11.6%)

Memory
30.3MiB live, 1 410.7MiB allocated
Samples
973.0ms8 256×0valid
30.0ms549×0invalid
Precisions
Click to see histograms. Total time spent on operations: 596.0ms
ival-div: 240.0ms (40.3% of total)
ival-log: 193.0ms (32.4% of total)
ival-sub: 82.0ms (13.8% of total)
ival-mult: 70.0ms (11.8% of total)
ival-true: 7.0ms (1.2% of total)
ival-assert: 4.0ms (0.7% of total)
Bogosity

explain150.0ms (1.3%)

Memory
9.9MiB live, 213.9MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
600-1(1.4086806047571516e-305 538129430704.7901 3.7182330844242737e+307)(log.f64 (/.f64 x y))
00-0-(/.f64 x y)
00-0-(*.f64 x (log.f64 (/.f64 x y)))
00-0-(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
00-0-y
00-0-z
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
log.f64(log.f64 (/.f64 x y))oflow-rescue320
(/.f64 x y)overflow32
log.f64(log.f64 (/.f64 x y))uflow-rescue20
(/.f64 x y)underflow27
Confusion
Predicted +Predicted -
+3325
-1197
Precision
0.9705882352941176
Recall
0.5689655172413793
Confusion?
Predicted +Predicted MaybePredicted -
+33025
-10197
Precision?
0.9705882352941176
Recall?
0.5689655172413793
Freqs
test
numberfreq
0222
134
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
96.0ms512×0valid
Compiler

Compiled 60 to 25 computations (58.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-log: 7.0ms (34% of total)
ival-sub: 5.0ms (24.3% of total)
ival-div: 4.0ms (19.4% of total)
ival-mult: 4.0ms (19.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess87.0ms (0.8%)

Memory
-19.3MiB live, 100.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03383
16581
214478
332878
455578
594578
6152578
7186778
8209878
9217478
10219478
11219678
12220078
078
0118
1148
2198
3258
4398
5608
61118
71728
82438
92938
103768
114168
125058
135278
145418
155878
165918
05918
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
Outputs
(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
(fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z))
Compiler

Compiled 8 to 7 computations (12.5% saved)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
78.1%
(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
Compiler

Compiled 8 to 7 computations (12.5% saved)

simplify18.0ms (0.2%)

Memory
21.4MiB live, 21.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 x y)
cost-diff0
(log.f64 (/.f64 x y))
cost-diff0
(*.f64 x (log.f64 (/.f64 x y)))
cost-diff0
(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0724
01124
11424
21924
32524
43924
56024
611124
717224
824324
929324
1037624
1141624
1250524
1352724
1454124
1558724
1659124
059124
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
(*.f64 x (log.f64 (/.f64 x y)))
x
(log.f64 (/.f64 x y))
(/.f64 x y)
y
z
Outputs
(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
(fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z))
(*.f64 x (log.f64 (/.f64 x y)))
(*.f64 (log.f64 (/.f64 x y)) x)
x
(log.f64 (/.f64 x y))
(/.f64 x y)
y
z

localize136.0ms (1.2%)

Memory
-23.2MiB live, 14.1MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(/.f64 x y)
accuracy0.0078125
(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
accuracy0.29296875
(*.f64 x (log.f64 (/.f64 x y)))
accuracy14.35609904090674
(log.f64 (/.f64 x y))
Samples
16.0ms256×0valid
Compiler

Compiled 26 to 9 computations (65.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-log: 3.0ms (34.4% of total)
ival-div: 2.0ms (22.9% of total)
ival-mult: 2.0ms (22.9% of total)
ival-sub: 1.0ms (11.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series161.0ms (1.4%)

Memory
38.0MiB live, 186.4MiB allocated
Counts
4 → 108
Calls
Call 1
Inputs
#s(alt (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) (patch (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) #<representation binary64>) () ())
#s(alt (*.f64 x (log.f64 (/.f64 x y))) (patch (*.f64 x (log.f64 (/.f64 x y))) #<representation binary64>) () ())
#s(alt (log.f64 (/.f64 x y)) (patch (log.f64 (/.f64 x y)) #<representation binary64>) () ())
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())
Outputs
#s(alt (* x (log (/ x y))) (taylor 0 z) (#s(alt (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) (patch (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* x (log (/ x y)))) (taylor 0 z) (#s(alt (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) (patch (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* x (log (/ x y)))) (taylor 0 z) (#s(alt (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) (patch (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* x (log (/ x y)))) (taylor 0 z) (#s(alt (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) (patch (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) (patch (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) #<representation binary64>) () ())) ())
#s(alt (* z (- (/ (* x (log (/ x y))) z) 1)) (taylor inf z) (#s(alt (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) (patch (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) #<representation binary64>) () ())) ())
#s(alt (* z (- (/ (* x (log (/ x y))) z) 1)) (taylor inf z) (#s(alt (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) (patch (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) #<representation binary64>) () ())) ())
#s(alt (* z (- (/ (* x (log (/ x y))) z) 1)) (taylor inf z) (#s(alt (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) (patch (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor -inf z) (#s(alt (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) (patch (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ 1 (* -1 (/ (* x (log (/ x y))) z))))) (taylor -inf z) (#s(alt (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) (patch (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ 1 (* -1 (/ (* x (log (/ x y))) z))))) (taylor -inf z) (#s(alt (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) (patch (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ 1 (* -1 (/ (* x (log (/ x y))) z))))) (taylor -inf z) (#s(alt (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) (patch (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ (log x) (* -1 (log y)))) z) (taylor 0 y) (#s(alt (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) (patch (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ (log x) (* -1 (log y)))) z) (taylor 0 y) (#s(alt (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) (patch (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ (log x) (* -1 (log y)))) z) (taylor 0 y) (#s(alt (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) (patch (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ (log x) (* -1 (log y)))) z) (taylor 0 y) (#s(alt (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) (patch (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) #<representation binary64>) () ())) ())
#s(alt (* x (+ (log x) (* -1 (log y)))) (taylor 0 y) (#s(alt (*.f64 x (log.f64 (/.f64 x y))) (patch (*.f64 x (log.f64 (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (log x) (* -1 (log y)))) (taylor 0 y) (#s(alt (*.f64 x (log.f64 (/.f64 x y))) (patch (*.f64 x (log.f64 (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (log x) (* -1 (log y)))) (taylor 0 y) (#s(alt (*.f64 x (log.f64 (/.f64 x y))) (patch (*.f64 x (log.f64 (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (log x) (* -1 (log y)))) (taylor 0 y) (#s(alt (*.f64 x (log.f64 (/.f64 x y))) (patch (*.f64 x (log.f64 (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ (log x) (* -1 (log y))) (taylor 0 y) (#s(alt (log.f64 (/.f64 x y)) (patch (log.f64 (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (log x) (* -1 (log y))) (taylor 0 y) (#s(alt (log.f64 (/.f64 x y)) (patch (log.f64 (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (log x) (* -1 (log y))) (taylor 0 y) (#s(alt (log.f64 (/.f64 x y)) (patch (log.f64 (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (log x) (* -1 (log y))) (taylor 0 y) (#s(alt (log.f64 (/.f64 x y)) (patch (log.f64 (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ (log x) (log (/ 1 y)))) z) (taylor inf y) (#s(alt (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) (patch (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ (log x) (log (/ 1 y)))) z) (taylor inf y) (#s(alt (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) (patch (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ (log x) (log (/ 1 y)))) z) (taylor inf y) (#s(alt (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) (patch (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ (log x) (log (/ 1 y)))) z) (taylor inf y) (#s(alt (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) (patch (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) #<representation binary64>) () ())) ())
#s(alt (* x (+ (log x) (log (/ 1 y)))) (taylor inf y) (#s(alt (*.f64 x (log.f64 (/.f64 x y))) (patch (*.f64 x (log.f64 (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (log x) (log (/ 1 y)))) (taylor inf y) (#s(alt (*.f64 x (log.f64 (/.f64 x y))) (patch (*.f64 x (log.f64 (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (log x) (log (/ 1 y)))) (taylor inf y) (#s(alt (*.f64 x (log.f64 (/.f64 x y))) (patch (*.f64 x (log.f64 (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (log x) (log (/ 1 y)))) (taylor inf y) (#s(alt (*.f64 x (log.f64 (/.f64 x y))) (patch (*.f64 x (log.f64 (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ (log x) (log (/ 1 y))) (taylor inf y) (#s(alt (log.f64 (/.f64 x y)) (patch (log.f64 (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (log x) (log (/ 1 y))) (taylor inf y) (#s(alt (log.f64 (/.f64 x y)) (patch (log.f64 (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (log x) (log (/ 1 y))) (taylor inf y) (#s(alt (log.f64 (/.f64 x y)) (patch (log.f64 (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (log x) (log (/ 1 y))) (taylor inf y) (#s(alt (log.f64 (/.f64 x y)) (patch (log.f64 (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ (log (* -1 x)) (log (/ -1 y)))) z) (taylor -inf y) (#s(alt (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) (patch (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ (log (* -1 x)) (log (/ -1 y)))) z) (taylor -inf y) (#s(alt (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) (patch (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ (log (* -1 x)) (log (/ -1 y)))) z) (taylor -inf y) (#s(alt (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) (patch (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ (log (* -1 x)) (log (/ -1 y)))) z) (taylor -inf y) (#s(alt (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) (patch (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) #<representation binary64>) () ())) ())
#s(alt (* x (+ (log (* -1 x)) (log (/ -1 y)))) (taylor -inf y) (#s(alt (*.f64 x (log.f64 (/.f64 x y))) (patch (*.f64 x (log.f64 (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (log (* -1 x)) (log (/ -1 y)))) (taylor -inf y) (#s(alt (*.f64 x (log.f64 (/.f64 x y))) (patch (*.f64 x (log.f64 (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (log (* -1 x)) (log (/ -1 y)))) (taylor -inf y) (#s(alt (*.f64 x (log.f64 (/.f64 x y))) (patch (*.f64 x (log.f64 (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (log (* -1 x)) (log (/ -1 y)))) (taylor -inf y) (#s(alt (*.f64 x (log.f64 (/.f64 x y))) (patch (*.f64 x (log.f64 (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ (log (* -1 x)) (log (/ -1 y))) (taylor -inf y) (#s(alt (log.f64 (/.f64 x y)) (patch (log.f64 (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (log (* -1 x)) (log (/ -1 y))) (taylor -inf y) (#s(alt (log.f64 (/.f64 x y)) (patch (log.f64 (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (log (* -1 x)) (log (/ -1 y))) (taylor -inf y) (#s(alt (log.f64 (/.f64 x y)) (patch (log.f64 (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (log (* -1 x)) (log (/ -1 y))) (taylor -inf y) (#s(alt (log.f64 (/.f64 x y)) (patch (log.f64 (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 x) (#s(alt (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) (patch (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ (log x) (log (/ 1 y)))) z) (taylor 0 x) (#s(alt (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) (patch (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ (log x) (log (/ 1 y)))) z) (taylor 0 x) (#s(alt (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) (patch (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) #<representation binary64>) () ())) ())
#s(alt (- (* x (+ (log x) (log (/ 1 y)))) z) (taylor 0 x) (#s(alt (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) (patch (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) #<representation binary64>) () ())) ())
#s(alt (* x (+ (log x) (log (/ 1 y)))) (taylor 0 x) (#s(alt (*.f64 x (log.f64 (/.f64 x y))) (patch (*.f64 x (log.f64 (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (log x) (log (/ 1 y)))) (taylor 0 x) (#s(alt (*.f64 x (log.f64 (/.f64 x y))) (patch (*.f64 x (log.f64 (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (log x) (log (/ 1 y)))) (taylor 0 x) (#s(alt (*.f64 x (log.f64 (/.f64 x y))) (patch (*.f64 x (log.f64 (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (log x) (log (/ 1 y)))) (taylor 0 x) (#s(alt (*.f64 x (log.f64 (/.f64 x y))) (patch (*.f64 x (log.f64 (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ (log x) (log (/ 1 y))) (taylor 0 x) (#s(alt (log.f64 (/.f64 x y)) (patch (log.f64 (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (log x) (log (/ 1 y))) (taylor 0 x) (#s(alt (log.f64 (/.f64 x y)) (patch (log.f64 (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (log x) (log (/ 1 y))) (taylor 0 x) (#s(alt (log.f64 (/.f64 x y)) (patch (log.f64 (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (log x) (log (/ 1 y))) (taylor 0 x) (#s(alt (log.f64 (/.f64 x y)) (patch (log.f64 (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ (log (/ 1 y)) (* -1 (log (/ 1 x))))) (taylor inf x) (#s(alt (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) (patch (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) #<representation binary64>) () ())) ())
#s(alt (* x (+ (log (/ 1 y)) (+ (* -1 (log (/ 1 x))) (* -1 (/ z x))))) (taylor inf x) (#s(alt (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) (patch (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) #<representation binary64>) () ())) ())
#s(alt (* x (+ (log (/ 1 y)) (+ (* -1 (log (/ 1 x))) (* -1 (/ z x))))) (taylor inf x) (#s(alt (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) (patch (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) #<representation binary64>) () ())) ())
#s(alt (* x (+ (log (/ 1 y)) (+ (* -1 (log (/ 1 x))) (* -1 (/ z x))))) (taylor inf x) (#s(alt (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) (patch (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) #<representation binary64>) () ())) ())
#s(alt (* x (+ (log (/ 1 y)) (* -1 (log (/ 1 x))))) (taylor inf x) (#s(alt (*.f64 x (log.f64 (/.f64 x y))) (patch (*.f64 x (log.f64 (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (log (/ 1 y)) (* -1 (log (/ 1 x))))) (taylor inf x) (#s(alt (*.f64 x (log.f64 (/.f64 x y))) (patch (*.f64 x (log.f64 (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (log (/ 1 y)) (* -1 (log (/ 1 x))))) (taylor inf x) (#s(alt (*.f64 x (log.f64 (/.f64 x y))) (patch (*.f64 x (log.f64 (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (log (/ 1 y)) (* -1 (log (/ 1 x))))) (taylor inf x) (#s(alt (*.f64 x (log.f64 (/.f64 x y))) (patch (*.f64 x (log.f64 (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ (log (/ 1 y)) (* -1 (log (/ 1 x)))) (taylor inf x) (#s(alt (log.f64 (/.f64 x y)) (patch (log.f64 (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (log (/ 1 y)) (* -1 (log (/ 1 x)))) (taylor inf x) (#s(alt (log.f64 (/.f64 x y)) (patch (log.f64 (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (log (/ 1 y)) (* -1 (log (/ 1 x)))) (taylor inf x) (#s(alt (log.f64 (/.f64 x y)) (patch (log.f64 (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (log (/ 1 y)) (* -1 (log (/ 1 x)))) (taylor inf x) (#s(alt (log.f64 (/.f64 x y)) (patch (log.f64 (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))) (taylor -inf x) (#s(alt (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) (patch (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))) (/ z x)))) (taylor -inf x) (#s(alt (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) (patch (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))) (/ z x)))) (taylor -inf x) (#s(alt (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) (patch (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))) (/ z x)))) (taylor -inf x) (#s(alt (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) (patch (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) #<representation binary64>) () ())) ())
#s(alt (* x (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))) (taylor -inf x) (#s(alt (*.f64 x (log.f64 (/.f64 x y))) (patch (*.f64 x (log.f64 (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))) (taylor -inf x) (#s(alt (*.f64 x (log.f64 (/.f64 x y))) (patch (*.f64 x (log.f64 (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))) (taylor -inf x) (#s(alt (*.f64 x (log.f64 (/.f64 x y))) (patch (*.f64 x (log.f64 (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))) (taylor -inf x) (#s(alt (*.f64 x (log.f64 (/.f64 x y))) (patch (*.f64 x (log.f64 (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) (taylor -inf x) (#s(alt (log.f64 (/.f64 x y)) (patch (log.f64 (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) (taylor -inf x) (#s(alt (log.f64 (/.f64 x y)) (patch (log.f64 (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) (taylor -inf x) (#s(alt (log.f64 (/.f64 x y)) (patch (log.f64 (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) (taylor -inf x) (#s(alt (log.f64 (/.f64 x y)) (patch (log.f64 (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
32.0ms
y
@inf
((- (* x (log (/ x y))) z) (* x (log (/ x y))) (log (/ x y)) (/ x y))
32.0ms
x
@-inf
((- (* x (log (/ x y))) z) (* x (log (/ x y))) (log (/ x y)) (/ x y))
29.0ms
x
@0
((- (* x (log (/ x y))) z) (* x (log (/ x y))) (log (/ x y)) (/ x y))
24.0ms
y
@0
((- (* x (log (/ x y))) z) (* x (log (/ x y))) (log (/ x y)) (/ x y))
23.0ms
y
@-inf
((- (* x (log (/ x y))) z) (* x (log (/ x y))) (log (/ x y)) (/ x y))

simplify216.0ms (1.9%)

Memory
-47.5MiB live, 216.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
054775
1154719
2424719
31132719
42897719
54858719
65921719
76565719
86831719
96911719
107952719
08339719
Stop Event
iter limit
node limit
Counts
108 → 108
Calls
Call 1
Inputs
(* x (log (/ x y)))
(+ (* -1 z) (* x (log (/ x y))))
(+ (* -1 z) (* x (log (/ x y))))
(+ (* -1 z) (* x (log (/ x y))))
(* -1 z)
(* z (- (/ (* x (log (/ x y))) z) 1))
(* z (- (/ (* x (log (/ x y))) z) 1))
(* z (- (/ (* x (log (/ x y))) z) 1))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ (* x (log (/ x y))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (* x (log (/ x y))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (* x (log (/ x y))) z)))))
(- (* x (+ (log x) (* -1 (log y)))) z)
(- (* x (+ (log x) (* -1 (log y)))) z)
(- (* x (+ (log x) (* -1 (log y)))) z)
(- (* x (+ (log x) (* -1 (log y)))) z)
(* x (+ (log x) (* -1 (log y))))
(* x (+ (log x) (* -1 (log y))))
(* x (+ (log x) (* -1 (log y))))
(* x (+ (log x) (* -1 (log y))))
(+ (log x) (* -1 (log y)))
(+ (log x) (* -1 (log y)))
(+ (log x) (* -1 (log y)))
(+ (log x) (* -1 (log y)))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(- (* x (+ (log x) (log (/ 1 y)))) z)
(- (* x (+ (log x) (log (/ 1 y)))) z)
(- (* x (+ (log x) (log (/ 1 y)))) z)
(- (* x (+ (log x) (log (/ 1 y)))) z)
(* x (+ (log x) (log (/ 1 y))))
(* x (+ (log x) (log (/ 1 y))))
(* x (+ (log x) (log (/ 1 y))))
(* x (+ (log x) (log (/ 1 y))))
(+ (log x) (log (/ 1 y)))
(+ (log x) (log (/ 1 y)))
(+ (log x) (log (/ 1 y)))
(+ (log x) (log (/ 1 y)))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(- (* x (+ (log (* -1 x)) (log (/ -1 y)))) z)
(- (* x (+ (log (* -1 x)) (log (/ -1 y)))) z)
(- (* x (+ (log (* -1 x)) (log (/ -1 y)))) z)
(- (* x (+ (log (* -1 x)) (log (/ -1 y)))) z)
(* x (+ (log (* -1 x)) (log (/ -1 y))))
(* x (+ (log (* -1 x)) (log (/ -1 y))))
(* x (+ (log (* -1 x)) (log (/ -1 y))))
(* x (+ (log (* -1 x)) (log (/ -1 y))))
(+ (log (* -1 x)) (log (/ -1 y)))
(+ (log (* -1 x)) (log (/ -1 y)))
(+ (log (* -1 x)) (log (/ -1 y)))
(+ (log (* -1 x)) (log (/ -1 y)))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(* -1 z)
(- (* x (+ (log x) (log (/ 1 y)))) z)
(- (* x (+ (log x) (log (/ 1 y)))) z)
(- (* x (+ (log x) (log (/ 1 y)))) z)
(* x (+ (log x) (log (/ 1 y))))
(* x (+ (log x) (log (/ 1 y))))
(* x (+ (log x) (log (/ 1 y))))
(* x (+ (log x) (log (/ 1 y))))
(+ (log x) (log (/ 1 y)))
(+ (log x) (log (/ 1 y)))
(+ (log x) (log (/ 1 y)))
(+ (log x) (log (/ 1 y)))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(* x (+ (log (/ 1 y)) (* -1 (log (/ 1 x)))))
(* x (+ (log (/ 1 y)) (+ (* -1 (log (/ 1 x))) (* -1 (/ z x)))))
(* x (+ (log (/ 1 y)) (+ (* -1 (log (/ 1 x))) (* -1 (/ z x)))))
(* x (+ (log (/ 1 y)) (+ (* -1 (log (/ 1 x))) (* -1 (/ z x)))))
(* x (+ (log (/ 1 y)) (* -1 (log (/ 1 x)))))
(* x (+ (log (/ 1 y)) (* -1 (log (/ 1 x)))))
(* x (+ (log (/ 1 y)) (* -1 (log (/ 1 x)))))
(* x (+ (log (/ 1 y)) (* -1 (log (/ 1 x)))))
(+ (log (/ 1 y)) (* -1 (log (/ 1 x))))
(+ (log (/ 1 y)) (* -1 (log (/ 1 x))))
(+ (log (/ 1 y)) (* -1 (log (/ 1 x))))
(+ (log (/ 1 y)) (* -1 (log (/ 1 x))))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(* x (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))))
(* -1 (* x (+ (* -1 (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))) (/ z x))))
(* -1 (* x (+ (* -1 (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))) (/ z x))))
(* -1 (* x (+ (* -1 (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))) (/ z x))))
(* x (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))))
(* x (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))))
(* x (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))))
(* x (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))))
(+ (log (/ -1 y)) (* -1 (log (/ -1 x))))
(+ (log (/ -1 y)) (* -1 (log (/ -1 x))))
(+ (log (/ -1 y)) (* -1 (log (/ -1 x))))
(+ (log (/ -1 y)) (* -1 (log (/ -1 x))))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
Outputs
(* x (log (/ x y)))
(*.f64 (log.f64 (/.f64 x y)) x)
(+ (* -1 z) (* x (log (/ x y))))
(fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z))
(+ (* -1 z) (* x (log (/ x y))))
(fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z))
(+ (* -1 z) (* x (log (/ x y))))
(fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z))
(* -1 z)
(neg.f64 z)
(* z (- (/ (* x (log (/ x y))) z) 1))
(fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z))
(* z (- (/ (* x (log (/ x y))) z) 1))
(fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z))
(* z (- (/ (* x (log (/ x y))) z) 1))
(fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z))
(* -1 z)
(neg.f64 z)
(* -1 (* z (+ 1 (* -1 (/ (* x (log (/ x y))) z)))))
(fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z))
(* -1 (* z (+ 1 (* -1 (/ (* x (log (/ x y))) z)))))
(fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z))
(* -1 (* z (+ 1 (* -1 (/ (* x (log (/ x y))) z)))))
(fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z))
(- (* x (+ (log x) (* -1 (log y)))) z)
(neg.f64 (fma.f64 (-.f64 (log.f64 y) (log.f64 x)) x z))
(- (* x (+ (log x) (* -1 (log y)))) z)
(neg.f64 (fma.f64 (-.f64 (log.f64 y) (log.f64 x)) x z))
(- (* x (+ (log x) (* -1 (log y)))) z)
(neg.f64 (fma.f64 (-.f64 (log.f64 y) (log.f64 x)) x z))
(- (* x (+ (log x) (* -1 (log y)))) z)
(neg.f64 (fma.f64 (-.f64 (log.f64 y) (log.f64 x)) x z))
(* x (+ (log x) (* -1 (log y))))
(*.f64 (-.f64 (log.f64 x) (log.f64 y)) x)
(* x (+ (log x) (* -1 (log y))))
(*.f64 (-.f64 (log.f64 x) (log.f64 y)) x)
(* x (+ (log x) (* -1 (log y))))
(*.f64 (-.f64 (log.f64 x) (log.f64 y)) x)
(* x (+ (log x) (* -1 (log y))))
(*.f64 (-.f64 (log.f64 x) (log.f64 y)) x)
(+ (log x) (* -1 (log y)))
(-.f64 (log.f64 x) (log.f64 y))
(+ (log x) (* -1 (log y)))
(-.f64 (log.f64 x) (log.f64 y))
(+ (log x) (* -1 (log y)))
(-.f64 (log.f64 x) (log.f64 y))
(+ (log x) (* -1 (log y)))
(-.f64 (log.f64 x) (log.f64 y))
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(- (* x (+ (log x) (log (/ 1 y)))) z)
(neg.f64 (fma.f64 (-.f64 (log.f64 y) (log.f64 x)) x z))
(- (* x (+ (log x) (log (/ 1 y)))) z)
(neg.f64 (fma.f64 (-.f64 (log.f64 y) (log.f64 x)) x z))
(- (* x (+ (log x) (log (/ 1 y)))) z)
(neg.f64 (fma.f64 (-.f64 (log.f64 y) (log.f64 x)) x z))
(- (* x (+ (log x) (log (/ 1 y)))) z)
(neg.f64 (fma.f64 (-.f64 (log.f64 y) (log.f64 x)) x z))
(* x (+ (log x) (log (/ 1 y))))
(*.f64 (-.f64 (log.f64 x) (log.f64 y)) x)
(* x (+ (log x) (log (/ 1 y))))
(*.f64 (-.f64 (log.f64 x) (log.f64 y)) x)
(* x (+ (log x) (log (/ 1 y))))
(*.f64 (-.f64 (log.f64 x) (log.f64 y)) x)
(* x (+ (log x) (log (/ 1 y))))
(*.f64 (-.f64 (log.f64 x) (log.f64 y)) x)
(+ (log x) (log (/ 1 y)))
(-.f64 (log.f64 x) (log.f64 y))
(+ (log x) (log (/ 1 y)))
(-.f64 (log.f64 x) (log.f64 y))
(+ (log x) (log (/ 1 y)))
(-.f64 (log.f64 x) (log.f64 y))
(+ (log x) (log (/ 1 y)))
(-.f64 (log.f64 x) (log.f64 y))
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(- (* x (+ (log (* -1 x)) (log (/ -1 y)))) z)
(fma.f64 (+.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x (neg.f64 z))
(- (* x (+ (log (* -1 x)) (log (/ -1 y)))) z)
(fma.f64 (+.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x (neg.f64 z))
(- (* x (+ (log (* -1 x)) (log (/ -1 y)))) z)
(fma.f64 (+.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x (neg.f64 z))
(- (* x (+ (log (* -1 x)) (log (/ -1 y)))) z)
(fma.f64 (+.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x (neg.f64 z))
(* x (+ (log (* -1 x)) (log (/ -1 y))))
(*.f64 (+.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x)
(* x (+ (log (* -1 x)) (log (/ -1 y))))
(*.f64 (+.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x)
(* x (+ (log (* -1 x)) (log (/ -1 y))))
(*.f64 (+.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x)
(* x (+ (log (* -1 x)) (log (/ -1 y))))
(*.f64 (+.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x)
(+ (log (* -1 x)) (log (/ -1 y)))
(+.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) y)))
(+ (log (* -1 x)) (log (/ -1 y)))
(+.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) y)))
(+ (log (* -1 x)) (log (/ -1 y)))
(+.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) y)))
(+ (log (* -1 x)) (log (/ -1 y)))
(+.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) y)))
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(* -1 z)
(neg.f64 z)
(- (* x (+ (log x) (log (/ 1 y)))) z)
(neg.f64 (fma.f64 (-.f64 (log.f64 y) (log.f64 x)) x z))
(- (* x (+ (log x) (log (/ 1 y)))) z)
(neg.f64 (fma.f64 (-.f64 (log.f64 y) (log.f64 x)) x z))
(- (* x (+ (log x) (log (/ 1 y)))) z)
(neg.f64 (fma.f64 (-.f64 (log.f64 y) (log.f64 x)) x z))
(* x (+ (log x) (log (/ 1 y))))
(*.f64 (-.f64 (log.f64 x) (log.f64 y)) x)
(* x (+ (log x) (log (/ 1 y))))
(*.f64 (-.f64 (log.f64 x) (log.f64 y)) x)
(* x (+ (log x) (log (/ 1 y))))
(*.f64 (-.f64 (log.f64 x) (log.f64 y)) x)
(* x (+ (log x) (log (/ 1 y))))
(*.f64 (-.f64 (log.f64 x) (log.f64 y)) x)
(+ (log x) (log (/ 1 y)))
(-.f64 (log.f64 x) (log.f64 y))
(+ (log x) (log (/ 1 y)))
(-.f64 (log.f64 x) (log.f64 y))
(+ (log x) (log (/ 1 y)))
(-.f64 (log.f64 x) (log.f64 y))
(+ (log x) (log (/ 1 y)))
(-.f64 (log.f64 x) (log.f64 y))
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(* x (+ (log (/ 1 y)) (* -1 (log (/ 1 x)))))
(*.f64 (-.f64 (log.f64 x) (log.f64 y)) x)
(* x (+ (log (/ 1 y)) (+ (* -1 (log (/ 1 x))) (* -1 (/ z x)))))
(neg.f64 (fma.f64 (-.f64 (log.f64 y) (log.f64 x)) x z))
(* x (+ (log (/ 1 y)) (+ (* -1 (log (/ 1 x))) (* -1 (/ z x)))))
(neg.f64 (fma.f64 (-.f64 (log.f64 y) (log.f64 x)) x z))
(* x (+ (log (/ 1 y)) (+ (* -1 (log (/ 1 x))) (* -1 (/ z x)))))
(neg.f64 (fma.f64 (-.f64 (log.f64 y) (log.f64 x)) x z))
(* x (+ (log (/ 1 y)) (* -1 (log (/ 1 x)))))
(*.f64 (-.f64 (log.f64 x) (log.f64 y)) x)
(* x (+ (log (/ 1 y)) (* -1 (log (/ 1 x)))))
(*.f64 (-.f64 (log.f64 x) (log.f64 y)) x)
(* x (+ (log (/ 1 y)) (* -1 (log (/ 1 x)))))
(*.f64 (-.f64 (log.f64 x) (log.f64 y)) x)
(* x (+ (log (/ 1 y)) (* -1 (log (/ 1 x)))))
(*.f64 (-.f64 (log.f64 x) (log.f64 y)) x)
(+ (log (/ 1 y)) (* -1 (log (/ 1 x))))
(-.f64 (log.f64 x) (log.f64 y))
(+ (log (/ 1 y)) (* -1 (log (/ 1 x))))
(-.f64 (log.f64 x) (log.f64 y))
(+ (log (/ 1 y)) (* -1 (log (/ 1 x))))
(-.f64 (log.f64 x) (log.f64 y))
(+ (log (/ 1 y)) (* -1 (log (/ 1 x))))
(-.f64 (log.f64 x) (log.f64 y))
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(* x (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))))
(*.f64 (+.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x)
(* -1 (* x (+ (* -1 (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))) (/ z x))))
(fma.f64 (+.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x (neg.f64 z))
(* -1 (* x (+ (* -1 (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))) (/ z x))))
(fma.f64 (+.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x (neg.f64 z))
(* -1 (* x (+ (* -1 (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))) (/ z x))))
(fma.f64 (+.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x (neg.f64 z))
(* x (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))))
(*.f64 (+.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x)
(* x (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))))
(*.f64 (+.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x)
(* x (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))))
(*.f64 (+.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x)
(* x (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))))
(*.f64 (+.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) y))) x)
(+ (log (/ -1 y)) (* -1 (log (/ -1 x))))
(+.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) y)))
(+ (log (/ -1 y)) (* -1 (log (/ -1 x))))
(+.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) y)))
(+ (log (/ -1 y)) (* -1 (log (/ -1 x))))
(+.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) y)))
(+ (log (/ -1 y)) (* -1 (log (/ -1 x))))
(+.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) y)))
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)

rewrite494.0ms (4.3%)

Memory
10.2MiB live, 202.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0721
01121
13821
223021
3206121
0839521
Stop Event
iter limit
node limit
iter limit
Counts
4 → 309
Calls
Call 1
Inputs
(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
(*.f64 x (log.f64 (/.f64 x y)))
(log.f64 (/.f64 x y))
(/.f64 x y)
Outputs
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eval52.0ms (0.4%)

Memory
-0.1MiB live, 118.4MiB allocated
Compiler

Compiled 12 069 to 1 177 computations (90.2% saved)

prune23.0ms (0.2%)

Memory
28.5MiB live, 67.1MiB allocated
Pruning

19 alts after pruning (19 fresh and 0 done)

PrunedKeptTotal
New39819417
Fresh000
Picked101
Done000
Total39919418
Accuracy
99.9%
Counts
418 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
58.1%
(fma.f64 (*.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (log.f64 (/.f64 x y)) x z)) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 (log.f64 (/.f64 x y)) x z))))
44.6%
(fma.f64 (*.f64 x x) (/.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) (fma.f64 (log.f64 (/.f64 x y)) x z)) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 (log.f64 (/.f64 x y)) x z))))
78.1%
(fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z))
78.0%
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) #s(literal -1 binary64)))
52.1%
(-.f64 (fma.f64 (log.f64 x) x (*.f64 (neg.f64 (log.f64 y)) x)) z)
52.1%
(-.f64 (+.f64 (*.f64 (log.f64 x) x) (*.f64 (neg.f64 (log.f64 y)) x)) z)
47.2%
(-.f64 (*.f64 x (/.f64 (-.f64 (pow.f64 (log.f64 (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 (neg.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (neg.f64 y)) #s(literal 2 binary64)) (*.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y))))))) z)
45.6%
(-.f64 (*.f64 x (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 y) #s(literal 2 binary64))) (log.f64 (*.f64 y x)))) z)
52.0%
(-.f64 (*.f64 x (-.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 (log.f64 x) (neg.f64 (log.f64 y)))) (/.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (-.f64 (log.f64 x) (neg.f64 (log.f64 y)))))) z)
47.3%
(-.f64 (*.f64 x (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y)))) z)
77.8%
(-.f64 (*.f64 x (neg.f64 (log.f64 (/.f64 y x)))) z)
78.1%
(-.f64 (*.f64 x (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)))) z)
44.5%
(*.f64 (fma.f64 (neg.f64 z) z (pow.f64 (*.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64))) (pow.f64 (fma.f64 (log.f64 (/.f64 x y)) x z) #s(literal -1 binary64)))
76.7%
(*.f64 (fma.f64 (log.f64 (/.f64 x y)) x z) (*.f64 (fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) (pow.f64 (fma.f64 (log.f64 (/.f64 x y)) x z) #s(literal -1 binary64))))
30.2%
(*.f64 (pow.f64 (fma.f64 (fma.f64 (log.f64 (/.f64 x y)) x z) z (pow.f64 (*.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 (log.f64 (/.f64 x y)) x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
26.7%
#s(approx (- (* x (log (/ x y))) z) (*.f64 (-.f64 (log.f64 x) (log.f64 y)) x))
44.4%
#s(approx (- (* x (log (/ x y))) z) (*.f64 (log.f64 (/.f64 x y)) x))
52.1%
#s(approx (- (* x (log (/ x y))) z) (neg.f64 (fma.f64 (-.f64 (log.f64 y) (log.f64 x)) x z)))
47.1%
#s(approx (- (* x (log (/ x y))) z) (neg.f64 z))
Compiler

Compiled 644 to 436 computations (32.3% saved)

simplify281.0ms (2.4%)

Memory
-13.2MiB live, 151.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64))
cost-diff0
(/.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) (fma.f64 (log.f64 (/.f64 x y)) x z))
cost-diff0
(*.f64 x x)
cost-diff8192
(fma.f64 (*.f64 x x) (/.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) (fma.f64 (log.f64 (/.f64 x y)) x z)) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 (log.f64 (/.f64 x y)) x z))))
cost-diff0
(log.f64 x)
cost-diff0
(*.f64 (log.f64 x) x)
cost-diff0
(-.f64 (+.f64 (*.f64 (log.f64 x) x) (*.f64 (neg.f64 (log.f64 y)) x)) z)
cost-diff448
(+.f64 (*.f64 (log.f64 x) x) (*.f64 (neg.f64 (log.f64 y)) x))
cost-diff0
(log.f64 x)
cost-diff0
(-.f64 (log.f64 x) (log.f64 y))
cost-diff0
(*.f64 (-.f64 (log.f64 x) (log.f64 y)) x)
cost-diff0
#s(approx (- (* x (log (/ x y))) z) (*.f64 (-.f64 (log.f64 x) (log.f64 y)) x))
cost-diff0
(neg.f64 z)
cost-diff0
#s(approx (- (* x (log (/ x y))) z) (neg.f64 z))
cost-diff0
(log.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)))
cost-diff0
(*.f64 x (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))))
cost-diff0
(-.f64 (*.f64 x (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)))) z)
cost-diff448
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))
Iterations

Useful iterations: 7 (0.0ms)

IterNodesCost
039235
069235
1114229
2200217
3382217
4967217
51991211
63404210
73885209
84093209
94118209
104124209
114128209
124288209
134712209
145446209
156368209
167037209
177630209
08081209
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(-.f64 (*.f64 x (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)))) z)
(*.f64 x (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))))
x
(log.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))
(/.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
y
(neg.f64 x)
z
#s(approx (- (* x (log (/ x y))) z) (neg.f64 z))
(neg.f64 z)
z
#s(approx (- (* x (log (/ x y))) z) (*.f64 (-.f64 (log.f64 x) (log.f64 y)) x))
(*.f64 (-.f64 (log.f64 x) (log.f64 y)) x)
(-.f64 (log.f64 x) (log.f64 y))
(log.f64 x)
x
(log.f64 y)
y
(-.f64 (+.f64 (*.f64 (log.f64 x) x) (*.f64 (neg.f64 (log.f64 y)) x)) z)
(+.f64 (*.f64 (log.f64 x) x) (*.f64 (neg.f64 (log.f64 y)) x))
(*.f64 (log.f64 x) x)
(log.f64 x)
x
(*.f64 (neg.f64 (log.f64 y)) x)
(neg.f64 (log.f64 y))
(log.f64 y)
y
z
(fma.f64 (*.f64 x x) (/.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) (fma.f64 (log.f64 (/.f64 x y)) x z)) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 (log.f64 (/.f64 x y)) x z))))
(*.f64 x x)
x
(/.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) (fma.f64 (log.f64 (/.f64 x y)) x z))
(pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64))
(log.f64 (/.f64 y x))
(/.f64 y x)
y
#s(literal 2 binary64)
(fma.f64 (log.f64 (/.f64 x y)) x z)
(log.f64 (/.f64 x y))
(/.f64 x y)
z
(neg.f64 (/.f64 (*.f64 z z) (fma.f64 (log.f64 (/.f64 x y)) x z)))
(/.f64 (*.f64 z z) (fma.f64 (log.f64 (/.f64 x y)) x z))
(*.f64 z z)
Outputs
(-.f64 (*.f64 x (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)))) z)
(fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z))
(*.f64 x (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))))
(*.f64 (log.f64 (/.f64 x y)) x)
x
(log.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)))
(log.f64 (/.f64 x y))
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))
(/.f64 x y)
(/.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
y
(neg.f64 x)
z
#s(approx (- (* x (log (/ x y))) z) (neg.f64 z))
(neg.f64 z)
z
#s(approx (- (* x (log (/ x y))) z) (*.f64 (-.f64 (log.f64 x) (log.f64 y)) x))
(*.f64 (-.f64 (log.f64 x) (log.f64 y)) x)
(-.f64 (log.f64 x) (log.f64 y))
(log.f64 x)
x
(log.f64 y)
y
(-.f64 (+.f64 (*.f64 (log.f64 x) x) (*.f64 (neg.f64 (log.f64 y)) x)) z)
(fma.f64 (-.f64 (log.f64 x) (log.f64 y)) x (neg.f64 z))
(+.f64 (*.f64 (log.f64 x) x) (*.f64 (neg.f64 (log.f64 y)) x))
(*.f64 (-.f64 (log.f64 x) (log.f64 y)) x)
(*.f64 (log.f64 x) x)
(log.f64 x)
x
(*.f64 (neg.f64 (log.f64 y)) x)
(neg.f64 (log.f64 y))
(log.f64 y)
y
z
(fma.f64 (*.f64 x x) (/.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) (fma.f64 (log.f64 (/.f64 x y)) x z)) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 (log.f64 (/.f64 x y)) x z))))
(/.f64 (fma.f64 (*.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) x) x (*.f64 (neg.f64 z) z)) (fma.f64 (log.f64 (/.f64 x y)) x z))
(*.f64 x x)
x
(/.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) (fma.f64 (log.f64 (/.f64 x y)) x z))
(pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64))
(log.f64 (/.f64 y x))
(/.f64 y x)
y
#s(literal 2 binary64)
(fma.f64 (log.f64 (/.f64 x y)) x z)
(log.f64 (/.f64 x y))
(/.f64 x y)
z
(neg.f64 (/.f64 (*.f64 z z) (fma.f64 (log.f64 (/.f64 x y)) x z)))
(/.f64 (*.f64 (neg.f64 z) z) (fma.f64 (log.f64 (/.f64 x y)) x z))
(/.f64 (*.f64 z z) (fma.f64 (log.f64 (/.f64 x y)) x z))
(*.f64 z z)

localize149.0ms (1.3%)

Memory
1.2MiB live, 189.8MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy7.323272671371029
(log.f64 (/.f64 x y))
accuracy7.506117320394821
(log.f64 (/.f64 y x))
accuracy8.806415211089572
(fma.f64 (*.f64 x x) (/.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) (fma.f64 (log.f64 (/.f64 x y)) x z)) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 (log.f64 (/.f64 x y)) x z))))
accuracy8.873245306110702
(/.f64 (*.f64 z z) (fma.f64 (log.f64 (/.f64 x y)) x z))
accuracy0.0078125
(-.f64 (+.f64 (*.f64 (log.f64 x) x) (*.f64 (neg.f64 (log.f64 y)) x)) z)
accuracy0.11328125
(*.f64 (neg.f64 (log.f64 y)) x)
accuracy0.1484375
(*.f64 (log.f64 x) x)
accuracy0.2627223398535691
(+.f64 (*.f64 (log.f64 x) x) (*.f64 (neg.f64 (log.f64 y)) x))
accuracy0
(log.f64 x)
accuracy0.14453125
(*.f64 (-.f64 (log.f64 x) (log.f64 y)) x)
accuracy0.258160511491824
(-.f64 (log.f64 x) (log.f64 y))
accuracy16.21906129209775
#s(approx (- (* x (log (/ x y))) z) (*.f64 (-.f64 (log.f64 x) (log.f64 y)) x))
accuracy0
(neg.f64 z)
accuracy16.981382551669007
#s(approx (- (* x (log (/ x y))) z) (neg.f64 z))
accuracy0.0078125
(-.f64 (*.f64 x (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)))) z)
accuracy0.10546875
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))
accuracy0.14453125
(*.f64 x (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))))
accuracy7.323272671371029
(log.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)))
Samples
74.0ms122×0invalid
47.0ms134×0valid
Compiler

Compiled 233 to 39 computations (83.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 62.0ms
ival-mult: 19.0ms (30.7% of total)
ival-log: 16.0ms (25.9% of total)
ival-div: 11.0ms (17.8% of total)
ival-sub: 5.0ms (8.1% of total)
ival-neg: 4.0ms (6.5% of total)
ival-add: 3.0ms (4.9% of total)
ival-pow2: 3.0ms (4.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series400.0ms (3.5%)

Memory
25.1MiB live, 569.7MiB allocated
Counts
21 → 540
Calls
Call 1
Inputs
#s(alt (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)) (patch (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 x (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)))) z) (patch (-.f64 (*.f64 x (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)))) z) #<representation binary64>) () ())
#s(alt (*.f64 x (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)))) (patch (*.f64 x (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)))) #<representation binary64>) () ())
#s(alt (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))) (patch (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))) #<representation binary64>) () ())
#s(alt #s(approx (- (* x (log (/ x y))) z) (neg.f64 z)) (patch #s(approx (- (* x (log (/ x y))) z) (neg.f64 z)) #<representation binary64>) () ())
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())
#s(alt #s(approx (- (* x (log (/ x y))) z) (*.f64 (-.f64 (log.f64 x) (log.f64 y)) x)) (patch #s(approx (- (* x (log (/ x y))) z) (*.f64 (-.f64 (log.f64 x) (log.f64 y)) x)) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 (log.f64 x) (log.f64 y)) x) (patch (*.f64 (-.f64 (log.f64 x) (log.f64 y)) x) #<representation binary64>) () ())
#s(alt (-.f64 (log.f64 x) (log.f64 y)) (patch (-.f64 (log.f64 x) (log.f64 y)) #<representation binary64>) () ())
#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())
#s(alt (+.f64 (*.f64 (log.f64 x) x) (*.f64 (neg.f64 (log.f64 y)) x)) (patch (+.f64 (*.f64 (log.f64 x) x) (*.f64 (neg.f64 (log.f64 y)) x)) #<representation binary64>) () ())
#s(alt (-.f64 (+.f64 (*.f64 (log.f64 x) x) (*.f64 (neg.f64 (log.f64 y)) x)) z) (patch (-.f64 (+.f64 (*.f64 (log.f64 x) x) (*.f64 (neg.f64 (log.f64 y)) x)) z) #<representation binary64>) () ())
#s(alt (*.f64 (log.f64 x) x) (patch (*.f64 (log.f64 x) x) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 x x) (/.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) (fma.f64 (log.f64 (/.f64 x y)) x z)) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 (log.f64 (/.f64 x y)) x z)))) (patch (fma.f64 (*.f64 x x) (/.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) (fma.f64 (log.f64 (/.f64 x y)) x z)) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 (log.f64 (/.f64 x y)) x z)))) #<representation binary64>) () ())
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())
#s(alt (/.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) (fma.f64 (log.f64 (/.f64 x y)) x z)) (patch (/.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) (fma.f64 (log.f64 (/.f64 x y)) x z)) #<representation binary64>) () ())
#s(alt (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) (patch (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (neg.f64 (log.f64 y)) x) (patch (*.f64 (neg.f64 (log.f64 y)) x) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 z z) (fma.f64 (log.f64 (/.f64 x y)) x z)) (patch (/.f64 (*.f64 z z) (fma.f64 (log.f64 (/.f64 x y)) x z)) #<representation binary64>) () ())
#s(alt (log.f64 (/.f64 y x)) (patch (log.f64 (/.f64 y x)) #<representation binary64>) () ())
#s(alt (log.f64 (/.f64 x y)) (patch (log.f64 (/.f64 x y)) #<representation binary64>) () ())
Outputs
#s(alt (* x (log (/ x y))) (taylor 0 z) (#s(alt (-.f64 (*.f64 x (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)))) z) (patch (-.f64 (*.f64 x (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)))) z) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* x (log (/ x y)))) (taylor 0 z) (#s(alt (-.f64 (*.f64 x (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)))) z) (patch (-.f64 (*.f64 x (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)))) z) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* x (log (/ x y)))) (taylor 0 z) (#s(alt (-.f64 (*.f64 x (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)))) z) (patch (-.f64 (*.f64 x (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)))) z) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* x (log (/ x y)))) (taylor 0 z) (#s(alt (-.f64 (*.f64 x (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)))) z) (patch (-.f64 (*.f64 x (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)))) z) #<representation binary64>) () ())) ())
#s(alt (* x (log (/ x y))) (taylor 0 z) (#s(alt #s(approx (- (* x (log (/ x y))) z) (neg.f64 z)) (patch #s(approx (- (* x (log (/ x y))) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* x (log (/ x y)))) (taylor 0 z) (#s(alt #s(approx (- (* x (log (/ x y))) z) (neg.f64 z)) (patch #s(approx (- (* x (log (/ x y))) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* x (log (/ x y)))) (taylor 0 z) (#s(alt #s(approx (- (* x (log (/ x y))) z) (neg.f64 z)) (patch #s(approx (- (* x (log (/ x y))) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* x (log (/ x y)))) (taylor 0 z) (#s(alt #s(approx (- (* x (log (/ x y))) z) (neg.f64 z)) (patch #s(approx (- (* x (log (/ x y))) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* x (log (/ x y))) (taylor 0 z) (#s(alt #s(approx (- (* x (log (/ x y))) z) (*.f64 (-.f64 (log.f64 x) (log.f64 y)) x)) (patch #s(approx (- (* x (log (/ x y))) z) (*.f64 (-.f64 (log.f64 x) (log.f64 y)) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* x (log (/ x y)))) (taylor 0 z) (#s(alt #s(approx (- (* x (log (/ x y))) z) (*.f64 (-.f64 (log.f64 x) (log.f64 y)) x)) (patch #s(approx (- (* x (log (/ x y))) z) (*.f64 (-.f64 (log.f64 x) (log.f64 y)) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* x (log (/ x y)))) (taylor 0 z) (#s(alt #s(approx (- (* x (log (/ x y))) z) (*.f64 (-.f64 (log.f64 x) (log.f64 y)) x)) (patch #s(approx (- (* x (log (/ x y))) z) (*.f64 (-.f64 (log.f64 x) (log.f64 y)) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* x (log (/ x y)))) (taylor 0 z) (#s(alt #s(approx (- (* x (log (/ x y))) z) (*.f64 (-.f64 (log.f64 x) (log.f64 y)) x)) (patch #s(approx (- (* x (log (/ x y))) z) (*.f64 (-.f64 (log.f64 x) (log.f64 y)) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* x (log y))) (* x (log x))) (taylor 0 z) (#s(alt (-.f64 (+.f64 (*.f64 (log.f64 x) x) (*.f64 (neg.f64 (log.f64 y)) x)) z) (patch (-.f64 (+.f64 (*.f64 (log.f64 x) x) (*.f64 (neg.f64 (log.f64 y)) x)) z) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (+ (* -1 (* x (log y))) (* x (log x)))) (taylor 0 z) (#s(alt (-.f64 (+.f64 (*.f64 (log.f64 x) x) (*.f64 (neg.f64 (log.f64 y)) x)) z) (patch (-.f64 (+.f64 (*.f64 (log.f64 x) x) (*.f64 (neg.f64 (log.f64 y)) x)) z) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (+ (* -1 (* x (log y))) (* x (log x)))) (taylor 0 z) (#s(alt (-.f64 (+.f64 (*.f64 (log.f64 x) x) (*.f64 (neg.f64 (log.f64 y)) x)) z) (patch (-.f64 (+.f64 (*.f64 (log.f64 x) x) (*.f64 (neg.f64 (log.f64 y)) x)) z) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (+ (* -1 (* x (log y))) (* x (log x)))) (taylor 0 z) (#s(alt (-.f64 (+.f64 (*.f64 (log.f64 x) x) (*.f64 (neg.f64 (log.f64 y)) x)) z) (patch (-.f64 (+.f64 (*.f64 (log.f64 x) x) (*.f64 (neg.f64 (log.f64 y)) x)) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x (pow (log (/ y x)) 2)) (log (/ x y))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 x x) (/.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) (fma.f64 (log.f64 (/.f64 x y)) x z)) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 (log.f64 (/.f64 x y)) x z)))) (patch (fma.f64 (*.f64 x x) (/.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) (fma.f64 (log.f64 (/.f64 x y)) x z)) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 (log.f64 (/.f64 x y)) x z)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* z (pow (log (/ y x)) 2)) (pow (log (/ x y)) 2))) (/ (* x (pow (log (/ y x)) 2)) (log (/ x y)))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 x x) (/.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) (fma.f64 (log.f64 (/.f64 x y)) x z)) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 (log.f64 (/.f64 x y)) x z)))) (patch (fma.f64 (*.f64 x x) (/.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) (fma.f64 (log.f64 (/.f64 x y)) x z)) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 (log.f64 (/.f64 x y)) x z)))) #<representation binary64>) () ())) ())
#s(alt (+ (* z (- (* -1 (* z (+ (* -1 (/ (pow (log (/ y x)) 2) (* x (pow (log (/ x y)) 3)))) (/ 1 (* x (log (/ x y))))))) (/ (pow (log (/ y x)) 2) (pow (log (/ x y)) 2)))) (/ (* x (pow (log (/ y x)) 2)) (log (/ x y)))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 x x) (/.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) (fma.f64 (log.f64 (/.f64 x y)) x z)) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 (log.f64 (/.f64 x y)) x z)))) (patch (fma.f64 (*.f64 x x) (/.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) (fma.f64 (log.f64 (/.f64 x y)) x z)) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 (log.f64 (/.f64 x y)) x z)))) #<representation binary64>) () ())) ())
#s(alt (+ (* z (- (* z (- (* z (- (/ 1 (* (pow x 2) (pow (log (/ x y)) 2))) (/ (pow (log (/ y x)) 2) (* (pow x 2) (pow (log (/ x y)) 4))))) (+ (* -1 (/ (pow (log (/ y x)) 2) (* x (pow (log (/ x y)) 3)))) (/ 1 (* x (log (/ x y))))))) (/ (pow (log (/ y x)) 2) (pow (log (/ x y)) 2)))) (/ (* x (pow (log (/ y x)) 2)) (log (/ x y)))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 x x) (/.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) (fma.f64 (log.f64 (/.f64 x y)) x z)) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 (log.f64 (/.f64 x y)) x z)))) (patch (fma.f64 (*.f64 x x) (/.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) (fma.f64 (log.f64 (/.f64 x y)) x z)) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 (log.f64 (/.f64 x y)) x z)))) #<representation binary64>) () ())) ())
#s(alt (/ (pow (log (/ y x)) 2) (* x (log (/ x y)))) (taylor 0 z) (#s(alt (/.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) (fma.f64 (log.f64 (/.f64 x y)) x z)) (patch (/.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) (fma.f64 (log.f64 (/.f64 x y)) x z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* z (pow (log (/ y x)) 2)) (* (pow x 2) (pow (log (/ x y)) 2)))) (/ (pow (log (/ y x)) 2) (* x (log (/ x y))))) (taylor 0 z) (#s(alt (/.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) (fma.f64 (log.f64 (/.f64 x y)) x z)) (patch (/.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) (fma.f64 (log.f64 (/.f64 x y)) x z)) #<representation binary64>) () ())) ())
#s(alt (+ (* z (- (/ (* z (pow (log (/ y x)) 2)) (* (pow x 3) (pow (log (/ x y)) 3))) (/ (pow (log (/ y x)) 2) (* (pow x 2) (pow (log (/ x y)) 2))))) (/ (pow (log (/ y x)) 2) (* x (log (/ x y))))) (taylor 0 z) (#s(alt (/.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) (fma.f64 (log.f64 (/.f64 x y)) x z)) (patch (/.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) (fma.f64 (log.f64 (/.f64 x y)) x z)) #<representation binary64>) () ())) ())
#s(alt (+ (* z (- (* z (- (* -1 (/ (* z (pow (log (/ y x)) 2)) (* (pow x 4) (pow (log (/ x y)) 4)))) (* -1 (/ (pow (log (/ y x)) 2) (* (pow x 3) (pow (log (/ x y)) 3)))))) (/ (pow (log (/ y x)) 2) (* (pow x 2) (pow (log (/ x y)) 2))))) (/ (pow (log (/ y x)) 2) (* x (log (/ x y))))) (taylor 0 z) (#s(alt (/.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) (fma.f64 (log.f64 (/.f64 x y)) x z)) (patch (/.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) (fma.f64 (log.f64 (/.f64 x y)) x z)) #<representation binary64>) () ())) ())
#s(alt (/ (pow z 2) (* x (log (/ x y)))) (taylor 0 z) (#s(alt (/.f64 (*.f64 z z) (fma.f64 (log.f64 (/.f64 x y)) x z)) (patch (/.f64 (*.f64 z z) (fma.f64 (log.f64 (/.f64 x y)) x z)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ (* -1 (/ z (* (pow x 2) (pow (log (/ x y)) 2)))) (/ 1 (* x (log (/ x y)))))) (taylor 0 z) (#s(alt (/.f64 (*.f64 z z) (fma.f64 (log.f64 (/.f64 x y)) x z)) (patch (/.f64 (*.f64 z z) (fma.f64 (log.f64 (/.f64 x y)) x z)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ (* z (- (/ z (* (pow x 3) (pow (log (/ x y)) 3))) (/ 1 (* (pow x 2) (pow (log (/ x y)) 2))))) (/ 1 (* x (log (/ x y)))))) (taylor 0 z) (#s(alt (/.f64 (*.f64 z z) (fma.f64 (log.f64 (/.f64 x y)) x z)) (patch (/.f64 (*.f64 z z) (fma.f64 (log.f64 (/.f64 x y)) x z)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (+ (* z (- (* z (+ (* -1 (/ z (* (pow x 4) (pow (log (/ x y)) 4)))) (/ 1 (* (pow x 3) (pow (log (/ x y)) 3))))) (/ 1 (* (pow x 2) (pow (log (/ x y)) 2))))) (/ 1 (* x (log (/ x y)))))) (taylor 0 z) (#s(alt (/.f64 (*.f64 z z) (fma.f64 (log.f64 (/.f64 x y)) x z)) (patch (/.f64 (*.f64 z z) (fma.f64 (log.f64 (/.f64 x y)) x z)) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt (-.f64 (*.f64 x (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)))) z) (patch (-.f64 (*.f64 x (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)))) z) #<representation binary64>) () ())) ())
#s(alt (* z (- (/ (* x (log (/ x y))) z) 1)) (taylor inf z) (#s(alt (-.f64 (*.f64 x (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)))) z) (patch (-.f64 (*.f64 x (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)))) z) #<representation binary64>) () ())) ())
#s(alt (* z (- (/ (* x (log (/ x y))) z) 1)) (taylor inf z) (#s(alt (-.f64 (*.f64 x (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)))) z) (patch (-.f64 (*.f64 x (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)))) z) #<representation binary64>) () ())) ())
#s(alt (* z (- (/ (* x (log (/ x y))) z) 1)) (taylor inf z) (#s(alt (-.f64 (*.f64 x (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)))) z) (patch (-.f64 (*.f64 x (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)))) z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt #s(approx (- (* x (log (/ x y))) z) (neg.f64 z)) (patch #s(approx (- (* x (log (/ x y))) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* z (- (/ (* x (log (/ x y))) z) 1)) (taylor inf z) (#s(alt #s(approx (- (* x (log (/ x y))) z) (neg.f64 z)) (patch #s(approx (- (* x (log (/ x y))) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* z (- (/ (* x (log (/ x y))) z) 1)) (taylor inf z) (#s(alt #s(approx (- (* x (log (/ x y))) z) (neg.f64 z)) (patch #s(approx (- (* x (log (/ x y))) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* z (- (/ (* x (log (/ x y))) z) 1)) (taylor inf z) (#s(alt #s(approx (- (* x (log (/ x y))) z) (neg.f64 z)) (patch #s(approx (- (* x (log (/ x y))) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
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Calls

9 calls:

TimeVariablePointExpression
93.0ms
y
@0
((* (/ -1 y) (neg x)) (- (* x (log (* (/ -1 y) (neg x)))) z) (* x (log (* (/ -1 y) (neg x)))) (log (* (/ -1 y) (neg x))) (- (* x (log (/ x y))) z) (neg z) (- (* x (log (/ x y))) z) (* (- (log x) (log y)) x) (- (log x) (log y)) (log x) (+ (* (log x) x) (* (neg (log y)) x)) (- (+ (* (log x) x) (* (neg (log y)) x)) z) (* (log x) x) (+ (* (* x x) (/ (pow (log (/ y x)) 2) (+ (* (log (/ x y)) x) z))) (neg (/ (* z z) (+ (* (log (/ x y)) x) z)))) (* x x) (/ (pow (log (/ y x)) 2) (+ (* (log (/ x y)) x) z)) (pow (log (/ y x)) 2) (* (neg (log y)) x) (/ (* z z) (+ (* (log (/ x y)) x) z)) (log (/ y x)) (log (/ x y)))
88.0ms
y
@-inf
((* (/ -1 y) (neg x)) (- (* x (log (* (/ -1 y) (neg x)))) z) (* x (log (* (/ -1 y) (neg x)))) (log (* (/ -1 y) (neg x))) (- (* x (log (/ x y))) z) (neg z) (- (* x (log (/ x y))) z) (* (- (log x) (log y)) x) (- (log x) (log y)) (log x) (+ (* (log x) x) (* (neg (log y)) x)) (- (+ (* (log x) x) (* (neg (log y)) x)) z) (* (log x) x) (+ (* (* x x) (/ (pow (log (/ y x)) 2) (+ (* (log (/ x y)) x) z))) (neg (/ (* z z) (+ (* (log (/ x y)) x) z)))) (* x x) (/ (pow (log (/ y x)) 2) (+ (* (log (/ x y)) x) z)) (pow (log (/ y x)) 2) (* (neg (log y)) x) (/ (* z z) (+ (* (log (/ x y)) x) z)) (log (/ y x)) (log (/ x y)))
67.0ms
x
@0
((* (/ -1 y) (neg x)) (- (* x (log (* (/ -1 y) (neg x)))) z) (* x (log (* (/ -1 y) (neg x)))) (log (* (/ -1 y) (neg x))) (- (* x (log (/ x y))) z) (neg z) (- (* x (log (/ x y))) z) (* (- (log x) (log y)) x) (- (log x) (log y)) (log x) (+ (* (log x) x) (* (neg (log y)) x)) (- (+ (* (log x) x) (* (neg (log y)) x)) z) (* (log x) x) (+ (* (* x x) (/ (pow (log (/ y x)) 2) (+ (* (log (/ x y)) x) z))) (neg (/ (* z z) (+ (* (log (/ x y)) x) z)))) (* x x) (/ (pow (log (/ y x)) 2) (+ (* (log (/ x y)) x) z)) (pow (log (/ y x)) 2) (* (neg (log y)) x) (/ (* z z) (+ (* (log (/ x y)) x) z)) (log (/ y x)) (log (/ x y)))
46.0ms
x
@-inf
((* (/ -1 y) (neg x)) (- (* x (log (* (/ -1 y) (neg x)))) z) (* x (log (* (/ -1 y) (neg x)))) (log (* (/ -1 y) (neg x))) (- (* x (log (/ x y))) z) (neg z) (- (* x (log (/ x y))) z) (* (- (log x) (log y)) x) (- (log x) (log y)) (log x) (+ (* (log x) x) (* (neg (log y)) x)) (- (+ (* (log x) x) (* (neg (log y)) x)) z) (* (log x) x) (+ (* (* x x) (/ (pow (log (/ y x)) 2) (+ (* (log (/ x y)) x) z))) (neg (/ (* z z) (+ (* (log (/ x y)) x) z)))) (* x x) (/ (pow (log (/ y x)) 2) (+ (* (log (/ x y)) x) z)) (pow (log (/ y x)) 2) (* (neg (log y)) x) (/ (* z z) (+ (* (log (/ x y)) x) z)) (log (/ y x)) (log (/ x y)))
36.0ms
y
@inf
((* (/ -1 y) (neg x)) (- (* x (log (* (/ -1 y) (neg x)))) z) (* x (log (* (/ -1 y) (neg x)))) (log (* (/ -1 y) (neg x))) (- (* x (log (/ x y))) z) (neg z) (- (* x (log (/ x y))) z) (* (- (log x) (log y)) x) (- (log x) (log y)) (log x) (+ (* (log x) x) (* (neg (log y)) x)) (- (+ (* (log x) x) (* (neg (log y)) x)) z) (* (log x) x) (+ (* (* x x) (/ (pow (log (/ y x)) 2) (+ (* (log (/ x y)) x) z))) (neg (/ (* z z) (+ (* (log (/ x y)) x) z)))) (* x x) (/ (pow (log (/ y x)) 2) (+ (* (log (/ x y)) x) z)) (pow (log (/ y x)) 2) (* (neg (log y)) x) (/ (* z z) (+ (* (log (/ x y)) x) z)) (log (/ y x)) (log (/ x y)))

simplify464.0ms (4%)

Memory
-179.8MiB live, 278.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05427641
116826942
260476809
084036694
Stop Event
iter limit
node limit
Counts
540 → 537
Calls
Call 1
Inputs
(* x (log (/ x y)))
(+ (* -1 z) (* x (log (/ x y))))
(+ (* -1 z) (* x (log (/ x y))))
(+ (* -1 z) (* x (log (/ x y))))
(* x (log (/ x y)))
(+ (* -1 z) (* x (log (/ x y))))
(+ (* -1 z) (* x (log (/ x y))))
(+ (* -1 z) (* x (log (/ x y))))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* x (log (/ x y)))
(+ (* -1 z) (* x (log (/ x y))))
(+ (* -1 z) (* x (log (/ x y))))
(+ (* -1 z) (* x (log (/ x y))))
(+ (* -1 (* x (log y))) (* x (log x)))
(+ (* -1 z) (+ (* -1 (* x (log y))) (* x (log x))))
(+ (* -1 z) (+ (* -1 (* x (log y))) (* x (log x))))
(+ (* -1 z) (+ (* -1 (* x (log y))) (* x (log x))))
(/ (* x (pow (log (/ y x)) 2)) (log (/ x y)))
(+ (* -1 (/ (* z (pow (log (/ y x)) 2)) (pow (log (/ x y)) 2))) (/ (* x (pow (log (/ y x)) 2)) (log (/ x y))))
(+ (* z (- (* -1 (* z (+ (* -1 (/ (pow (log (/ y x)) 2) (* x (pow (log (/ x y)) 3)))) (/ 1 (* x (log (/ x y))))))) (/ (pow (log (/ y x)) 2) (pow (log (/ x y)) 2)))) (/ (* x (pow (log (/ y x)) 2)) (log (/ x y))))
(+ (* z (- (* z (- (* z (- (/ 1 (* (pow x 2) (pow (log (/ x y)) 2))) (/ (pow (log (/ y x)) 2) (* (pow x 2) (pow (log (/ x y)) 4))))) (+ (* -1 (/ (pow (log (/ y x)) 2) (* x (pow (log (/ x y)) 3)))) (/ 1 (* x (log (/ x y))))))) (/ (pow (log (/ y x)) 2) (pow (log (/ x y)) 2)))) (/ (* x (pow (log (/ y x)) 2)) (log (/ x y))))
(/ (pow (log (/ y x)) 2) (* x (log (/ x y))))
(+ (* -1 (/ (* z (pow (log (/ y x)) 2)) (* (pow x 2) (pow (log (/ x y)) 2)))) (/ (pow (log (/ y x)) 2) (* x (log (/ x y)))))
(+ (* z (- (/ (* z (pow (log (/ y x)) 2)) (* (pow x 3) (pow (log (/ x y)) 3))) (/ (pow (log (/ y x)) 2) (* (pow x 2) (pow (log (/ x y)) 2))))) (/ (pow (log (/ y x)) 2) (* x (log (/ x y)))))
(+ (* z (- (* z (- (* -1 (/ (* z (pow (log (/ y x)) 2)) (* (pow x 4) (pow (log (/ x y)) 4)))) (* -1 (/ (pow (log (/ y x)) 2) (* (pow x 3) (pow (log (/ x y)) 3)))))) (/ (pow (log (/ y x)) 2) (* (pow x 2) (pow (log (/ x y)) 2))))) (/ (pow (log (/ y x)) 2) (* x (log (/ x y)))))
(/ (pow z 2) (* x (log (/ x y))))
(* (pow z 2) (+ (* -1 (/ z (* (pow x 2) (pow (log (/ x y)) 2)))) (/ 1 (* x (log (/ x y))))))
(* (pow z 2) (+ (* z (- (/ z (* (pow x 3) (pow (log (/ x y)) 3))) (/ 1 (* (pow x 2) (pow (log (/ x y)) 2))))) (/ 1 (* x (log (/ x y))))))
(* (pow z 2) (+ (* z (- (* z (+ (* -1 (/ z (* (pow x 4) (pow (log (/ x y)) 4)))) (/ 1 (* (pow x 3) (pow (log (/ x y)) 3))))) (/ 1 (* (pow x 2) (pow (log (/ x y)) 2))))) (/ 1 (* x (log (/ x y))))))
(* -1 z)
(* z (- (/ (* x (log (/ x y))) z) 1))
(* z (- (/ (* x (log (/ x y))) z) 1))
(* z (- (/ (* x (log (/ x y))) z) 1))
(* -1 z)
(* z (- (/ (* x (log (/ x y))) z) 1))
(* z (- (/ (* x (log (/ x y))) z) 1))
(* z (- (/ (* x (log (/ x y))) z) 1))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* z (- (/ (* x (log (/ x y))) z) 1))
(* z (- (/ (* x (log (/ x y))) z) 1))
(* z (- (/ (* x (log (/ x y))) z) 1))
(* -1 z)
(* z (- (+ (* -1 (/ (* x (log y)) z)) (/ (* x (log x)) z)) 1))
(* z (- (+ (* -1 (/ (* x (log y)) z)) (/ (* x (log x)) z)) 1))
(* z (- (+ (* -1 (/ (* x (log y)) z)) (/ (* x (log x)) z)) 1))
(* -1 z)
(* z (- (/ (* x (log (/ x y))) z) 1))
(* z (- (+ (* -1 (/ (* (pow x 2) (pow (log (/ x y)) 2)) (pow z 2))) (+ (/ (* x (log (/ x y))) z) (/ (* (pow x 2) (pow (log (/ y x)) 2)) (pow z 2)))) 1))
(* z (- (+ (* -1 (/ (* (pow x 2) (pow (log (/ x y)) 2)) (pow z 2))) (+ (/ (* x (log (/ x y))) z) (+ (/ (* (pow x 2) (pow (log (/ y x)) 2)) (pow z 2)) (/ (* (pow x 3) (pow (log (/ x y)) 3)) (pow z 3))))) (+ 1 (/ (* (pow x 3) (* (log (/ x y)) (pow (log (/ y x)) 2))) (pow z 3)))))
(/ (pow (log (/ y x)) 2) z)
(/ (+ (* -1 (/ (* x (* (log (/ x y)) (pow (log (/ y x)) 2))) z)) (pow (log (/ y x)) 2)) z)
(/ (- (+ (/ (* (pow x 2) (* (pow (log (/ x y)) 2) (pow (log (/ y x)) 2))) (pow z 2)) (pow (log (/ y x)) 2)) (/ (* x (* (log (/ x y)) (pow (log (/ y x)) 2))) z)) z)
(/ (- (+ (* -1 (/ (* (pow x 3) (* (pow (log (/ x y)) 3) (pow (log (/ y x)) 2))) (pow z 3))) (pow (log (/ y x)) 2)) (+ (* -1 (/ (* (pow x 2) (* (pow (log (/ x y)) 2) (pow (log (/ y x)) 2))) (pow z 2))) (/ (* x (* (log (/ x y)) (pow (log (/ y x)) 2))) z))) z)
z
(* z (+ 1 (* -1 (/ (* x (log (/ x y))) z))))
(* z (- (+ 1 (/ (* (pow x 2) (pow (log (/ x y)) 2)) (pow z 2))) (/ (* x (log (/ x y))) z)))
(* z (- (+ 1 (* -1 (/ (* (pow x 3) (pow (log (/ x y)) 3)) (pow z 3)))) (+ (* -1 (/ (* (pow x 2) (pow (log (/ x y)) 2)) (pow z 2))) (/ (* x (log (/ x y))) z))))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ (* x (log (/ x y))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (* x (log (/ x y))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (* x (log (/ x y))) z)))))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ (* x (log (/ x y))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (* x (log (/ x y))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (* x (log (/ x y))) z)))))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
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Outputs
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rewrite240.0ms (2.1%)

Memory
20.4MiB live, 287.8MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
039179
069164
1238134
21544134
08339134
Stop Event
iter limit
node limit
iter limit
Counts
21 → 1 937
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))
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#s(approx (- (* x (log (/ x y))) z) (neg.f64 z))
(neg.f64 z)
#s(approx (- (* x (log (/ x y))) z) (*.f64 (-.f64 (log.f64 x) (log.f64 y)) x))
(*.f64 (-.f64 (log.f64 x) (log.f64 y)) x)
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(/.f64 (*.f64 z z) (fma.f64 (log.f64 (/.f64 x y)) x z))
(log.f64 (/.f64 y x))
(log.f64 (/.f64 x y))
Outputs
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eval484.0ms (4.2%)

Memory
23.8MiB live, 572.3MiB allocated
Compiler

Compiled 103 252 to 3 795 computations (96.3% saved)

prune139.0ms (1.2%)

Memory
-0.5MiB live, 192.0MiB allocated
Pruning

21 alts after pruning (17 fresh and 4 done)

PrunedKeptTotal
New2 565132 578
Fresh10414
Picked145
Done000
Total2 576212 597
Accuracy
100.0%
Counts
2 597 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
44.5%
(fma.f64 (/.f64 (*.f64 x x) (fma.f64 (log.f64 (/.f64 x y)) x z)) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 (/.f64 y x)) #s(literal -2 binary64))) (/.f64 (*.f64 (neg.f64 z) z) (fma.f64 (log.f64 (/.f64 x y)) x z)))
58.1%
(fma.f64 (/.f64 x (fma.f64 (log.f64 (/.f64 x y)) x z)) (/.f64 x (pow.f64 (log.f64 (/.f64 y x)) #s(literal -2 binary64))) (/.f64 (*.f64 (neg.f64 z) z) (fma.f64 (log.f64 (/.f64 x y)) x z)))
58.1%
(fma.f64 (*.f64 (/.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) (fma.f64 (log.f64 (/.f64 x y)) x z)) x) x (/.f64 (*.f64 (neg.f64 z) z) (fma.f64 (log.f64 (/.f64 x y)) x z)))
44.6%
(fma.f64 (*.f64 x x) (/.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) (fma.f64 (log.f64 (/.f64 x y)) x z)) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 (log.f64 (/.f64 x y)) x z))))
78.1%
(fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z))
44.1%
(/.f64 (-.f64 (*.f64 (*.f64 x x) (neg.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)))) (*.f64 (neg.f64 z) z)) (neg.f64 (fma.f64 (log.f64 (/.f64 x y)) x z)))
47.3%
(-.f64 (*.f64 x (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y)))) z)
78.1%
(-.f64 (*.f64 x (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)))) z)
76.7%
(*.f64 (fma.f64 (log.f64 (/.f64 x y)) x z) (*.f64 (fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) (pow.f64 (fma.f64 (log.f64 (/.f64 x y)) x z) #s(literal -1 binary64))))
52.1%
#s(approx (- (+ (* (log x) x) (* (neg (log y)) x)) z) (fma.f64 (-.f64 (log.f64 x) (log.f64 y)) x (neg.f64 z)))
26.8%
#s(approx (- (* x (log (/ x y))) z) (fma.f64 (neg.f64 (log.f64 y)) x (*.f64 (log.f64 x) x)))
26.8%
#s(approx (- (* x (log (/ x y))) z) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) x (*.f64 (log.f64 (neg.f64 x)) x)))
26.9%
#s(approx (- (* x (log (/ x y))) z) (/.f64 (*.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z)))
26.7%
#s(approx (- (* x (log (/ x y))) z) (-.f64 (*.f64 (log.f64 x) x) (*.f64 (log.f64 y) x)))
69.5%
#s(approx (- (* x (log (/ x y))) z) (*.f64 (fma.f64 (log.f64 (/.f64 x y)) (/.f64 x z) #s(literal -1 binary64)) z))
20.2%
#s(approx (- (* x (log (/ x y))) z) (*.f64 (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 y) #s(literal 2 binary64))) (log.f64 (*.f64 y x))) x))
26.8%
#s(approx (- (* x (log (/ x y))) z) (*.f64 (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y))) x))
26.7%
#s(approx (- (* x (log (/ x y))) z) (*.f64 (-.f64 (log.f64 x) (log.f64 y)) x))
44.5%
#s(approx (- (* x (log (/ x y))) z) (*.f64 (neg.f64 (log.f64 (/.f64 y x))) x))
44.4%
#s(approx (- (* x (log (/ x y))) z) (*.f64 (log.f64 (/.f64 x y)) x))
47.1%
#s(approx (- (* x (log (/ x y))) z) (neg.f64 z))
Compiler

Compiled 586 to 425 computations (27.5% saved)

simplify260.0ms (2.3%)

Memory
-20.4MiB live, 90.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64))
cost-diff0
(/.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) (fma.f64 (log.f64 (/.f64 x y)) x z))
cost-diff0
(*.f64 (/.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) (fma.f64 (log.f64 (/.f64 x y)) x z)) x)
cost-diff0
(fma.f64 (*.f64 (/.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) (fma.f64 (log.f64 (/.f64 x y)) x z)) x) x (/.f64 (*.f64 (neg.f64 z) z) (fma.f64 (log.f64 (/.f64 x y)) x z)))
cost-diff0
(log.f64 (neg.f64 x))
cost-diff0
(-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y)))
cost-diff0
(*.f64 x (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y))))
cost-diff0
(-.f64 (*.f64 x (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y)))) z)
cost-diff0
(log.f64 x)
cost-diff0
(-.f64 (log.f64 x) (log.f64 y))
cost-diff0
(fma.f64 (-.f64 (log.f64 x) (log.f64 y)) x (neg.f64 z))
cost-diff0
#s(approx (- (+ (* (log x) x) (* (neg (log y)) x)) z) (fma.f64 (-.f64 (log.f64 x) (log.f64 y)) x (neg.f64 z)))
cost-diff0
(*.f64 (neg.f64 z) z)
cost-diff0
#s(approx (- (* x (log (/ x y))) z) (/.f64 (*.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z)))
cost-diff192
(+.f64 #s(literal 0 binary64) z)
cost-diff1024
(/.f64 (*.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z))
cost-diff0
(neg.f64 z)
cost-diff0
(/.f64 x y)
cost-diff0
(log.f64 (/.f64 x y))
cost-diff0
(fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
044250
073237
1121235
2244233
3517233
41059233
52088233
64935233
77365233
08033233
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z))
(log.f64 (/.f64 x y))
(/.f64 x y)
x
y
(neg.f64 z)
z
#s(approx (- (* x (log (/ x y))) z) (/.f64 (*.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z)))
(/.f64 (*.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z))
(*.f64 (neg.f64 z) z)
(neg.f64 z)
z
(+.f64 #s(literal 0 binary64) z)
#s(literal 0 binary64)
#s(approx (- (+ (* (log x) x) (* (neg (log y)) x)) z) (fma.f64 (-.f64 (log.f64 x) (log.f64 y)) x (neg.f64 z)))
(fma.f64 (-.f64 (log.f64 x) (log.f64 y)) x (neg.f64 z))
(-.f64 (log.f64 x) (log.f64 y))
(log.f64 x)
x
(log.f64 y)
y
(neg.f64 z)
z
(-.f64 (*.f64 x (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y)))) z)
(*.f64 x (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y))))
x
(-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y)))
(log.f64 (neg.f64 x))
(neg.f64 x)
(log.f64 (neg.f64 y))
(neg.f64 y)
y
z
(fma.f64 (*.f64 (/.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) (fma.f64 (log.f64 (/.f64 x y)) x z)) x) x (/.f64 (*.f64 (neg.f64 z) z) (fma.f64 (log.f64 (/.f64 x y)) x z)))
(*.f64 (/.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) (fma.f64 (log.f64 (/.f64 x y)) x z)) x)
(/.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) (fma.f64 (log.f64 (/.f64 x y)) x z))
(pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64))
(log.f64 (/.f64 y x))
(/.f64 y x)
y
x
#s(literal 2 binary64)
(fma.f64 (log.f64 (/.f64 x y)) x z)
(log.f64 (/.f64 x y))
(/.f64 x y)
z
(/.f64 (*.f64 (neg.f64 z) z) (fma.f64 (log.f64 (/.f64 x y)) x z))
(*.f64 (neg.f64 z) z)
(neg.f64 z)
Outputs
(fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z))
(log.f64 (/.f64 x y))
(/.f64 x y)
x
y
(neg.f64 z)
z
#s(approx (- (* x (log (/ x y))) z) (/.f64 (*.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z)))
#s(approx (- (* x (log (/ x y))) z) (neg.f64 z))
(/.f64 (*.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z))
(neg.f64 z)
(*.f64 (neg.f64 z) z)
(neg.f64 z)
z
(+.f64 #s(literal 0 binary64) z)
z
#s(literal 0 binary64)
#s(approx (- (+ (* (log x) x) (* (neg (log y)) x)) z) (fma.f64 (-.f64 (log.f64 x) (log.f64 y)) x (neg.f64 z)))
(fma.f64 (-.f64 (log.f64 x) (log.f64 y)) x (neg.f64 z))
(-.f64 (log.f64 x) (log.f64 y))
(log.f64 x)
x
(log.f64 y)
y
(neg.f64 z)
z
(-.f64 (*.f64 x (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y)))) z)
(fma.f64 (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y))) x (neg.f64 z))
(*.f64 x (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y))))
(*.f64 (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y))) x)
x
(-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y)))
(log.f64 (neg.f64 x))
(neg.f64 x)
(log.f64 (neg.f64 y))
(neg.f64 y)
y
z
(fma.f64 (*.f64 (/.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) (fma.f64 (log.f64 (/.f64 x y)) x z)) x) x (/.f64 (*.f64 (neg.f64 z) z) (fma.f64 (log.f64 (/.f64 x y)) x z)))
(fma.f64 (*.f64 x x) (/.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) (fma.f64 (log.f64 (/.f64 x y)) x z)) (/.f64 (*.f64 (neg.f64 z) z) (fma.f64 (log.f64 (/.f64 x y)) x z)))
(*.f64 (/.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) (fma.f64 (log.f64 (/.f64 x y)) x z)) x)
(*.f64 (/.f64 x (fma.f64 (log.f64 (/.f64 x y)) x z)) (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)))
(/.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) (fma.f64 (log.f64 (/.f64 x y)) x z))
(pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64))
(log.f64 (/.f64 y x))
(/.f64 y x)
y
x
#s(literal 2 binary64)
(fma.f64 (log.f64 (/.f64 x y)) x z)
(log.f64 (/.f64 x y))
(/.f64 x y)
z
(/.f64 (*.f64 (neg.f64 z) z) (fma.f64 (log.f64 (/.f64 x y)) x z))
(*.f64 (neg.f64 z) z)
(neg.f64 z)

localize154.0ms (1.3%)

Memory
31.6MiB live, 156.4MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 (neg.f64 z) z)
accuracy0
(neg.f64 z)
accuracy0
(log.f64 (/.f64 y x))
accuracy0
(log.f64 (/.f64 x y))
accuracy0
(neg.f64 y)
accuracy0
(neg.f64 x)
accuracy0
(log.f64 (neg.f64 y))
accuracy0
(log.f64 (neg.f64 x))
accuracy0
(neg.f64 z)
accuracy0
(log.f64 y)
accuracy0
(log.f64 x)
accuracy0
#s(approx (- (+ (* (log x) x) (* (neg (log y)) x)) z) (fma.f64 (-.f64 (log.f64 x) (log.f64 y)) x (neg.f64 z)))
accuracy0
(+.f64 #s(literal 0 binary64) z)
accuracy0
(*.f64 (neg.f64 z) z)
accuracy0
(neg.f64 z)
accuracy0
#s(approx (- (* x (log (/ x y))) z) (/.f64 (*.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z)))
accuracy0
(fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z))
accuracy0
(/.f64 x y)
accuracy0
(neg.f64 z)
accuracy0
(log.f64 (/.f64 x y))
Samples
130.0ms256×0invalid
Compiler

Compiled 242 to 43 computations (82.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 94.0ms
ival-add: 43.0ms (45.9% of total)
ival-log: 15.0ms (16% of total)
ival-mult: 14.0ms (14.9% of total)
ival-div: 9.0ms (9.6% of total)
ival-sub: 5.0ms (5.3% of total)
ival-neg: 4.0ms (4.3% of total)
ival-pow2: 3.0ms (3.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series583.0ms (5.1%)

Memory
-5.2MiB live, 833.8MiB allocated
Counts
25 → 576
Calls
Call 1
Inputs
#s(alt (fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) (patch (fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) #<representation binary64>) () ())
#s(alt (log.f64 (/.f64 x y)) (patch (log.f64 (/.f64 x y)) #<representation binary64>) () ())
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z)) (patch (/.f64 (*.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z)) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 0 binary64) z) (patch (+.f64 #s(literal 0 binary64) z) #<representation binary64>) () ())
#s(alt #s(approx (- (* x (log (/ x y))) z) (/.f64 (*.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z))) (patch #s(approx (- (* x (log (/ x y))) z) (/.f64 (*.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z))) #<representation binary64>) () ())
#s(alt (*.f64 (neg.f64 z) z) (patch (*.f64 (neg.f64 z) z) #<representation binary64>) () ())
#s(alt #s(approx (- (+ (* (log x) x) (* (neg (log y)) x)) z) (fma.f64 (-.f64 (log.f64 x) (log.f64 y)) x (neg.f64 z))) (patch #s(approx (- (+ (* (log x) x) (* (neg (log y)) x)) z) (fma.f64 (-.f64 (log.f64 x) (log.f64 y)) x (neg.f64 z))) #<representation binary64>) () ())
#s(alt (fma.f64 (-.f64 (log.f64 x) (log.f64 y)) x (neg.f64 z)) (patch (fma.f64 (-.f64 (log.f64 x) (log.f64 y)) x (neg.f64 z)) #<representation binary64>) () ())
#s(alt (-.f64 (log.f64 x) (log.f64 y)) (patch (-.f64 (log.f64 x) (log.f64 y)) #<representation binary64>) () ())
#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 x (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y)))) z) (patch (-.f64 (*.f64 x (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y)))) z) #<representation binary64>) () ())
#s(alt (*.f64 x (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y)))) (patch (*.f64 x (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y)))) #<representation binary64>) () ())
#s(alt (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y))) (patch (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y))) #<representation binary64>) () ())
#s(alt (log.f64 (neg.f64 x)) (patch (log.f64 (neg.f64 x)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (/.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) (fma.f64 (log.f64 (/.f64 x y)) x z)) x) x (/.f64 (*.f64 (neg.f64 z) z) (fma.f64 (log.f64 (/.f64 x y)) x z))) (patch (fma.f64 (*.f64 (/.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) (fma.f64 (log.f64 (/.f64 x y)) x z)) x) x (/.f64 (*.f64 (neg.f64 z) z) (fma.f64 (log.f64 (/.f64 x y)) x z))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) (fma.f64 (log.f64 (/.f64 x y)) x z)) x) (patch (*.f64 (/.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) (fma.f64 (log.f64 (/.f64 x y)) x z)) x) #<representation binary64>) () ())
#s(alt (/.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) (fma.f64 (log.f64 (/.f64 x y)) x z)) (patch (/.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) (fma.f64 (log.f64 (/.f64 x y)) x z)) #<representation binary64>) () ())
#s(alt (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) (patch (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (log.f64 y) (patch (log.f64 y) #<representation binary64>) () ())
#s(alt (log.f64 (neg.f64 y)) (patch (log.f64 (neg.f64 y)) #<representation binary64>) () ())
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())
#s(alt (log.f64 (/.f64 y x)) (patch (log.f64 (/.f64 y x)) #<representation binary64>) () ())
Outputs
#s(alt (* x (log (/ x y))) (taylor 0 z) (#s(alt (fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) (patch (fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* x (log (/ x y)))) (taylor 0 z) (#s(alt (fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) (patch (fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* x (log (/ x y)))) (taylor 0 z) (#s(alt (fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) (patch (fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* x (log (/ x y)))) (taylor 0 z) (#s(alt (fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) (patch (fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (/.f64 (*.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z)) (patch (/.f64 (*.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (/.f64 (*.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z)) (patch (/.f64 (*.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (/.f64 (*.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z)) (patch (/.f64 (*.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (/.f64 (*.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z)) (patch (/.f64 (*.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z)) #<representation binary64>) () ())) ())
#s(alt z (taylor 0 z) (#s(alt (+.f64 #s(literal 0 binary64) z) (patch (+.f64 #s(literal 0 binary64) z) #<representation binary64>) () ())) ())
#s(alt z (taylor 0 z) (#s(alt (+.f64 #s(literal 0 binary64) z) (patch (+.f64 #s(literal 0 binary64) z) #<representation binary64>) () ())) ())
#s(alt z (taylor 0 z) (#s(alt (+.f64 #s(literal 0 binary64) z) (patch (+.f64 #s(literal 0 binary64) z) #<representation binary64>) () ())) ())
#s(alt z (taylor 0 z) (#s(alt (+.f64 #s(literal 0 binary64) z) (patch (+.f64 #s(literal 0 binary64) z) #<representation binary64>) () ())) ())
#s(alt (* x (log (/ x y))) (taylor 0 z) (#s(alt #s(approx (- (* x (log (/ x y))) z) (/.f64 (*.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z))) (patch #s(approx (- (* x (log (/ x y))) z) (/.f64 (*.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* x (log (/ x y)))) (taylor 0 z) (#s(alt #s(approx (- (* x (log (/ x y))) z) (/.f64 (*.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z))) (patch #s(approx (- (* x (log (/ x y))) z) (/.f64 (*.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* x (log (/ x y)))) (taylor 0 z) (#s(alt #s(approx (- (* x (log (/ x y))) z) (/.f64 (*.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z))) (patch #s(approx (- (* x (log (/ x y))) z) (/.f64 (*.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* x (log (/ x y)))) (taylor 0 z) (#s(alt #s(approx (- (* x (log (/ x y))) z) (/.f64 (*.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z))) (patch #s(approx (- (* x (log (/ x y))) z) (/.f64 (*.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow z 2)) (taylor 0 z) (#s(alt (*.f64 (neg.f64 z) z) (patch (*.f64 (neg.f64 z) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow z 2)) (taylor 0 z) (#s(alt (*.f64 (neg.f64 z) z) (patch (*.f64 (neg.f64 z) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow z 2)) (taylor 0 z) (#s(alt (*.f64 (neg.f64 z) z) (patch (*.f64 (neg.f64 z) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow z 2)) (taylor 0 z) (#s(alt (*.f64 (neg.f64 z) z) (patch (*.f64 (neg.f64 z) z) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* x (log y))) (* x (log x))) (taylor 0 z) (#s(alt #s(approx (- (+ (* (log x) x) (* (neg (log y)) x)) z) (fma.f64 (-.f64 (log.f64 x) (log.f64 y)) x (neg.f64 z))) (patch #s(approx (- (+ (* (log x) x) (* (neg (log y)) x)) z) (fma.f64 (-.f64 (log.f64 x) (log.f64 y)) x (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (+ (* -1 (* x (log y))) (* x (log x)))) (taylor 0 z) (#s(alt #s(approx (- (+ (* (log x) x) (* (neg (log y)) x)) z) (fma.f64 (-.f64 (log.f64 x) (log.f64 y)) x (neg.f64 z))) (patch #s(approx (- (+ (* (log x) x) (* (neg (log y)) x)) z) (fma.f64 (-.f64 (log.f64 x) (log.f64 y)) x (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (+ (* -1 (* x (log y))) (* x (log x)))) (taylor 0 z) (#s(alt #s(approx (- (+ (* (log x) x) (* (neg (log y)) x)) z) (fma.f64 (-.f64 (log.f64 x) (log.f64 y)) x (neg.f64 z))) (patch #s(approx (- (+ (* (log x) x) (* (neg (log y)) x)) z) (fma.f64 (-.f64 (log.f64 x) (log.f64 y)) x (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (+ (* -1 (* x (log y))) (* x (log x)))) (taylor 0 z) (#s(alt #s(approx (- (+ (* (log x) x) (* (neg (log y)) x)) z) (fma.f64 (-.f64 (log.f64 x) (log.f64 y)) x (neg.f64 z))) (patch #s(approx (- (+ (* (log x) x) (* (neg (log y)) x)) z) (fma.f64 (-.f64 (log.f64 x) (log.f64 y)) x (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (* x (- (log x) (log y))) (taylor 0 z) (#s(alt (fma.f64 (-.f64 (log.f64 x) (log.f64 y)) x (neg.f64 z)) (patch (fma.f64 (-.f64 (log.f64 x) (log.f64 y)) x (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* x (- (log x) (log y)))) (taylor 0 z) (#s(alt (fma.f64 (-.f64 (log.f64 x) (log.f64 y)) x (neg.f64 z)) (patch (fma.f64 (-.f64 (log.f64 x) (log.f64 y)) x (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* x (- (log x) (log y)))) (taylor 0 z) (#s(alt (fma.f64 (-.f64 (log.f64 x) (log.f64 y)) x (neg.f64 z)) (patch (fma.f64 (-.f64 (log.f64 x) (log.f64 y)) x (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* x (- (log x) (log y)))) (taylor 0 z) (#s(alt (fma.f64 (-.f64 (log.f64 x) (log.f64 y)) x (neg.f64 z)) (patch (fma.f64 (-.f64 (log.f64 x) (log.f64 y)) x (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* x (- (log (neg x)) (log (neg y)))) (taylor 0 z) (#s(alt (-.f64 (*.f64 x (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y)))) z) (patch (-.f64 (*.f64 x (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y)))) z) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* x (- (log (neg x)) (log (neg y))))) (taylor 0 z) (#s(alt (-.f64 (*.f64 x (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y)))) z) (patch (-.f64 (*.f64 x (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y)))) z) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* x (- (log (neg x)) (log (neg y))))) (taylor 0 z) (#s(alt (-.f64 (*.f64 x (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y)))) z) (patch (-.f64 (*.f64 x (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y)))) z) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* x (- (log (neg x)) (log (neg y))))) (taylor 0 z) (#s(alt (-.f64 (*.f64 x (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y)))) z) (patch (-.f64 (*.f64 x (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y)))) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x (pow (log (/ y x)) 2)) (log (/ x y))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 (/.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) (fma.f64 (log.f64 (/.f64 x y)) x z)) x) x (/.f64 (*.f64 (neg.f64 z) z) (fma.f64 (log.f64 (/.f64 x y)) x z))) (patch (fma.f64 (*.f64 (/.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) (fma.f64 (log.f64 (/.f64 x y)) x z)) x) x (/.f64 (*.f64 (neg.f64 z) z) (fma.f64 (log.f64 (/.f64 x y)) x z))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* z (pow (log (/ y x)) 2)) (pow (log (/ x y)) 2))) (/ (* x (pow (log (/ y x)) 2)) (log (/ x y)))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 (/.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) (fma.f64 (log.f64 (/.f64 x y)) x z)) x) x (/.f64 (*.f64 (neg.f64 z) z) (fma.f64 (log.f64 (/.f64 x y)) x z))) (patch (fma.f64 (*.f64 (/.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) (fma.f64 (log.f64 (/.f64 x y)) x z)) x) x (/.f64 (*.f64 (neg.f64 z) z) (fma.f64 (log.f64 (/.f64 x y)) x z))) #<representation binary64>) () ())) ())
#s(alt (+ (* z (- (* -1 (* z (+ (* -1 (/ (pow (log (/ y x)) 2) (* x (pow (log (/ x y)) 3)))) (/ 1 (* x (log (/ x y))))))) (/ (pow (log (/ y x)) 2) (pow (log (/ x y)) 2)))) (/ (* x (pow (log (/ y x)) 2)) (log (/ x y)))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 (/.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) (fma.f64 (log.f64 (/.f64 x y)) x z)) x) x (/.f64 (*.f64 (neg.f64 z) z) (fma.f64 (log.f64 (/.f64 x y)) x z))) (patch (fma.f64 (*.f64 (/.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) (fma.f64 (log.f64 (/.f64 x y)) x z)) x) x (/.f64 (*.f64 (neg.f64 z) z) (fma.f64 (log.f64 (/.f64 x y)) x z))) #<representation binary64>) () ())) ())
#s(alt (+ (* z (- (* z (- (* z (- (/ 1 (* (pow x 2) (pow (log (/ x y)) 2))) (/ (pow (log (/ y x)) 2) (* (pow x 2) (pow (log (/ x y)) 4))))) (+ (* -1 (/ (pow (log (/ y x)) 2) (* x (pow (log (/ x y)) 3)))) (/ 1 (* x (log (/ x y))))))) (/ (pow (log (/ y x)) 2) (pow (log (/ x y)) 2)))) (/ (* x (pow (log (/ y x)) 2)) (log (/ x y)))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 (/.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) (fma.f64 (log.f64 (/.f64 x y)) x z)) x) x (/.f64 (*.f64 (neg.f64 z) z) (fma.f64 (log.f64 (/.f64 x y)) x z))) (patch (fma.f64 (*.f64 (/.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) (fma.f64 (log.f64 (/.f64 x y)) x z)) x) x (/.f64 (*.f64 (neg.f64 z) z) (fma.f64 (log.f64 (/.f64 x y)) x z))) #<representation binary64>) () ())) ())
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Calls

9 calls:

TimeVariablePointExpression
168.0ms
x
@0
((+ (* (log (/ x y)) x) (neg z)) (log (/ x y)) (/ x y) (neg z) (/ (* (neg z) z) (+ 0 z)) (+ 0 z) (- (* x (log (/ x y))) z) (* (neg z) z) (- (+ (* (log x) x) (* (neg (log y)) x)) z) (+ (* (- (log x) (log y)) x) (neg z)) (- (log x) (log y)) (log x) (- (* x (- (log (neg x)) (log (neg y)))) z) (* x (- (log (neg x)) (log (neg y)))) (- (log (neg x)) (log (neg y))) (log (neg x)) (+ (* (* (/ (pow (log (/ y x)) 2) (+ (* (log (/ x y)) x) z)) x) x) (/ (* (neg z) z) (+ (* (log (/ x y)) x) z))) (* (/ (pow (log (/ y x)) 2) (+ (* (log (/ x y)) x) z)) x) (/ (pow (log (/ y x)) 2) (+ (* (log (/ x y)) x) z)) (pow (log (/ y x)) 2) (log y) (log (neg y)) (neg x) (neg y) (log (/ y x)))
91.0ms
y
@0
((+ (* (log (/ x y)) x) (neg z)) (log (/ x y)) (/ x y) (neg z) (/ (* (neg z) z) (+ 0 z)) (+ 0 z) (- (* x (log (/ x y))) z) (* (neg z) z) (- (+ (* (log x) x) (* (neg (log y)) x)) z) (+ (* (- (log x) (log y)) x) (neg z)) (- (log x) (log y)) (log x) (- (* x (- (log (neg x)) (log (neg y)))) z) (* x (- (log (neg x)) (log (neg y)))) (- (log (neg x)) (log (neg y))) (log (neg x)) (+ (* (* (/ (pow (log (/ y x)) 2) (+ (* (log (/ x y)) x) z)) x) x) (/ (* (neg z) z) (+ (* (log (/ x y)) x) z))) (* (/ (pow (log (/ y x)) 2) (+ (* (log (/ x y)) x) z)) x) (/ (pow (log (/ y x)) 2) (+ (* (log (/ x y)) x) z)) (pow (log (/ y x)) 2) (log y) (log (neg y)) (neg x) (neg y) (log (/ y x)))
66.0ms
y
@inf
((+ (* (log (/ x y)) x) (neg z)) (log (/ x y)) (/ x y) (neg z) (/ (* (neg z) z) (+ 0 z)) (+ 0 z) (- (* x (log (/ x y))) z) (* (neg z) z) (- (+ (* (log x) x) (* (neg (log y)) x)) z) (+ (* (- (log x) (log y)) x) (neg z)) (- (log x) (log y)) (log x) (- (* x (- (log (neg x)) (log (neg y)))) z) (* x (- (log (neg x)) (log (neg y)))) (- (log (neg x)) (log (neg y))) (log (neg x)) (+ (* (* (/ (pow (log (/ y x)) 2) (+ (* (log (/ x y)) x) z)) x) x) (/ (* (neg z) z) (+ (* (log (/ x y)) x) z))) (* (/ (pow (log (/ y x)) 2) (+ (* (log (/ x y)) x) z)) x) (/ (pow (log (/ y x)) 2) (+ (* (log (/ x y)) x) z)) (pow (log (/ y x)) 2) (log y) (log (neg y)) (neg x) (neg y) (log (/ y x)))
64.0ms
x
@-inf
((+ (* (log (/ x y)) x) (neg z)) (log (/ x y)) (/ x y) (neg z) (/ (* (neg z) z) (+ 0 z)) (+ 0 z) (- (* x (log (/ x y))) z) (* (neg z) z) (- (+ (* (log x) x) (* (neg (log y)) x)) z) (+ (* (- (log x) (log y)) x) (neg z)) (- (log x) (log y)) (log x) (- (* x (- (log (neg x)) (log (neg y)))) z) (* x (- (log (neg x)) (log (neg y)))) (- (log (neg x)) (log (neg y))) (log (neg x)) (+ (* (* (/ (pow (log (/ y x)) 2) (+ (* (log (/ x y)) x) z)) x) x) (/ (* (neg z) z) (+ (* (log (/ x y)) x) z))) (* (/ (pow (log (/ y x)) 2) (+ (* (log (/ x y)) x) z)) x) (/ (pow (log (/ y x)) 2) (+ (* (log (/ x y)) x) z)) (pow (log (/ y x)) 2) (log y) (log (neg y)) (neg x) (neg y) (log (/ y x)))
59.0ms
y
@-inf
((+ (* (log (/ x y)) x) (neg z)) (log (/ x y)) (/ x y) (neg z) (/ (* (neg z) z) (+ 0 z)) (+ 0 z) (- (* x (log (/ x y))) z) (* (neg z) z) (- (+ (* (log x) x) (* (neg (log y)) x)) z) (+ (* (- (log x) (log y)) x) (neg z)) (- (log x) (log y)) (log x) (- (* x (- (log (neg x)) (log (neg y)))) z) (* x (- (log (neg x)) (log (neg y)))) (- (log (neg x)) (log (neg y))) (log (neg x)) (+ (* (* (/ (pow (log (/ y x)) 2) (+ (* (log (/ x y)) x) z)) x) x) (/ (* (neg z) z) (+ (* (log (/ x y)) x) z))) (* (/ (pow (log (/ y x)) 2) (+ (* (log (/ x y)) x) z)) x) (/ (pow (log (/ y x)) 2) (+ (* (log (/ x y)) x) z)) (pow (log (/ y x)) 2) (log y) (log (neg y)) (neg x) (neg y) (log (/ y x)))

simplify257.0ms (2.2%)

Memory
4.5MiB live, 315.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05828331
117967699
263327513
087347388
Stop Event
iter limit
node limit
Counts
576 → 564
Calls
Call 1
Inputs
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Outputs
(* x (log (/ x y)))
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(/ (pow (+ (log (* -1 y)) (log (/ -1 x))) 2) (* x (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))))
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(/.f64 (fma.f64 (/.f64 z (pow.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (/.f64 (pow.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (neg.f64 y))) #s(literal 2 binary64)) x) (/.f64 (pow.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (neg.f64 y))) #s(literal 2 binary64)) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) y))))) (neg.f64 x))
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(pow (+ (log (* -1 y)) (log (/ -1 x))) 2)
(pow.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (neg.f64 y))) #s(literal 2 binary64))
(pow (+ (log (* -1 y)) (log (/ -1 x))) 2)
(pow.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (neg.f64 y))) #s(literal 2 binary64))
(pow (+ (log (* -1 y)) (log (/ -1 x))) 2)
(pow.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (neg.f64 y))) #s(literal 2 binary64))
(pow (+ (log (* -1 y)) (log (/ -1 x))) 2)
(pow.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (neg.f64 y))) #s(literal 2 binary64))
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(+ (log (* -1 y)) (log (/ -1 x)))
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (neg.f64 y)))
(+ (log (* -1 y)) (log (/ -1 x)))
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (neg.f64 y)))
(+ (log (* -1 y)) (log (/ -1 x)))
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (neg.f64 y)))
(+ (log (* -1 y)) (log (/ -1 x)))
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (neg.f64 y)))

rewrite222.0ms (1.9%)

Memory
-27.1MiB live, 276.3MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
044196
073149
1299145
21934133
08699133
Stop Event
iter limit
node limit
iter limit
Counts
25 → 1 721
Calls
Call 1
Inputs
(fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z))
(log.f64 (/.f64 x y))
(/.f64 x y)
(neg.f64 z)
(/.f64 (*.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z))
(+.f64 #s(literal 0 binary64) z)
#s(approx (- (* x (log (/ x y))) z) (/.f64 (*.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z)))
(*.f64 (neg.f64 z) z)
#s(approx (- (+ (* (log x) x) (* (neg (log y)) x)) z) (fma.f64 (-.f64 (log.f64 x) (log.f64 y)) x (neg.f64 z)))
(fma.f64 (-.f64 (log.f64 x) (log.f64 y)) x (neg.f64 z))
(-.f64 (log.f64 x) (log.f64 y))
(log.f64 x)
(-.f64 (*.f64 x (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y)))) z)
(*.f64 x (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y))))
(-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y)))
(log.f64 (neg.f64 x))
(fma.f64 (*.f64 (/.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) (fma.f64 (log.f64 (/.f64 x y)) x z)) x) x (/.f64 (*.f64 (neg.f64 z) z) (fma.f64 (log.f64 (/.f64 x y)) x z)))
(*.f64 (/.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) (fma.f64 (log.f64 (/.f64 x y)) x z)) x)
(/.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) (fma.f64 (log.f64 (/.f64 x y)) x z))
(pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64))
(log.f64 y)
(log.f64 (neg.f64 y))
(neg.f64 x)
(neg.f64 y)
(log.f64 (/.f64 y x))
Outputs
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eval558.0ms (4.9%)

Memory
67.3MiB live, 887.8MiB allocated
Compiler

Compiled 88 129 to 4 777 computations (94.6% saved)

prune307.0ms (2.7%)

Memory
-10.2MiB live, 259.5MiB allocated
Pruning

30 alts after pruning (24 fresh and 6 done)

PrunedKeptTotal
New2 854172 871
Fresh5712
Picked235
Done134
Total2 862302 892
Accuracy
100.0%
Counts
2 892 → 30
Alt Table
Click to see full alt table
StatusAccuracyProgram
58.1%
(fma.f64 (/.f64 x (*.f64 (fma.f64 (log.f64 (/.f64 x y)) x z) (pow.f64 (log.f64 (/.f64 y x)) #s(literal -2 binary64)))) x (/.f64 (*.f64 (neg.f64 z) z) (fma.f64 (log.f64 (/.f64 x y)) x z)))
40.6%
(fma.f64 (*.f64 (/.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) (fma.f64 (log.f64 (/.f64 x y)) x z)) x) x (/.f64 (*.f64 z z) (fma.f64 (log.f64 (/.f64 x y)) x z)))
78.1%
(fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z))
44.3%
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) x) x) (*.f64 z z)) (fma.f64 (log.f64 (/.f64 x y)) x z))
47.3%
(-.f64 (fma.f64 (log.f64 (neg.f64 x)) x (*.f64 (neg.f64 (log.f64 (neg.f64 y))) x)) z)
41.4%
(-.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 (neg.f64 y)) #s(literal 3 binary64))) x) (fma.f64 (log.f64 (neg.f64 y)) (log.f64 (*.f64 (neg.f64 y) (neg.f64 x))) (pow.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)))) z)
57.0%
(-.f64 (/.f64 (*.f64 (*.f64 (log.f64 (*.f64 (neg.f64 y) (neg.f64 x))) (log.f64 (/.f64 x y))) x) (log.f64 (*.f64 (neg.f64 y) (neg.f64 x)))) z)
78.0%
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 (/.f64 x y)) x))) z)
47.3%
(-.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x)) x) (*.f64 (neg.f64 (log.f64 (neg.f64 y))) x)) z)
47.3%
(-.f64 (*.f64 x (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y)))) z)
78.1%
(-.f64 (*.f64 x (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)))) z)
76.7%
(*.f64 (fma.f64 (log.f64 (/.f64 x y)) x z) (*.f64 (fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) (pow.f64 (fma.f64 (log.f64 (/.f64 x y)) x z) #s(literal -1 binary64))))
52.1%
#s(approx (- (+ (* (log x) x) (* (neg (log y)) x)) z) (fma.f64 (-.f64 (log.f64 x) (log.f64 y)) x (neg.f64 z)))
26.8%
#s(approx (- (* x (- (log (neg x)) (log (neg y)))) z) (*.f64 (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y))) x))
26.8%
#s(approx (- (* x (log (/ x y))) z) (fma.f64 (neg.f64 (log.f64 y)) x (*.f64 (log.f64 x) x)))
1.3%
#s(approx (- (* x (log (/ x y))) z) (/.f64 (/.f64 (*.f64 z (pow.f64 z #s(literal 3 binary64))) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)))
2.2%
#s(approx (- (* x (log (/ x y))) z) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -2 binary64))) (+.f64 #s(literal 0 binary64) z)))
26.9%
#s(approx (- (* x (log (/ x y))) z) (/.f64 (*.f64 (neg.f64 z) z) z))
2.2%
#s(approx (- (* x (log (/ x y))) z) (/.f64 (*.f64 z z) z))
2.3%
#s(approx (- (* x (log (/ x y))) z) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1 binary64))))
47.0%
#s(approx (- (* x (log (/ x y))) z) (/.f64 #s(literal -1 binary64) (pow.f64 z #s(literal -1 binary64))))
26.7%
#s(approx (- (* x (log (/ x y))) z) (-.f64 (*.f64 (log.f64 x) x) (*.f64 (log.f64 y) x)))
69.5%
#s(approx (- (* x (log (/ x y))) z) (*.f64 (fma.f64 (log.f64 (/.f64 x y)) (/.f64 x z) #s(literal -1 binary64)) z))
2.2%
#s(approx (- (* x (log (/ x y))) z) (*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 z z)))
20.2%
#s(approx (- (* x (log (/ x y))) z) (*.f64 (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 y) #s(literal 2 binary64))) (log.f64 (*.f64 y x))) x))
26.7%
#s(approx (- (* x (log (/ x y))) z) (*.f64 (-.f64 (log.f64 x) (log.f64 y)) x))
44.5%
#s(approx (- (* x (log (/ x y))) z) (*.f64 (neg.f64 (log.f64 (/.f64 y x))) x))
44.4%
#s(approx (- (* x (log (/ x y))) z) (*.f64 (log.f64 (/.f64 x y)) x))
47.1%
#s(approx (- (* x (log (/ x y))) z) (neg.f64 z))
2.3%
#s(approx (- (* x (log (/ x y))) z) z)
Compiler

Compiled 715 to 555 computations (22.4% saved)

simplify164.0ms (1.4%)

Memory
-6.2MiB live, 212.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(log.f64 (/.f64 x y))
cost-diff0
(fma.f64 (log.f64 (/.f64 x y)) x z)
cost-diff6080
(*.f64 (fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) (pow.f64 (fma.f64 (log.f64 (/.f64 x y)) x z) #s(literal -1 binary64)))
cost-diff16000
(*.f64 (fma.f64 (log.f64 (/.f64 x y)) x z) (*.f64 (fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) (pow.f64 (fma.f64 (log.f64 (/.f64 x y)) x z) #s(literal -1 binary64))))
cost-diff0
(log.f64 x)
cost-diff0
(*.f64 (log.f64 x) x)
cost-diff0
#s(approx (- (* x (log (/ x y))) z) (-.f64 (*.f64 (log.f64 x) x) (*.f64 (log.f64 y) x)))
cost-diff320
(-.f64 (*.f64 (log.f64 x) x) (*.f64 (log.f64 y) x))
cost-diff0
(/.f64 x y)
cost-diff0
(log.f64 (/.f64 x y))
cost-diff0
(*.f64 (log.f64 (/.f64 x y)) x)
cost-diff0
#s(approx (- (* x (log (/ x y))) z) (*.f64 (log.f64 (/.f64 x y)) x))
cost-diff0
#s(approx (- (* x (log (/ x y))) z) z)
cost-diff0
(log.f64 (/.f64 x y))
cost-diff0
(*.f64 (log.f64 (/.f64 x y)) x)
cost-diff0
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 (/.f64 x y)) x))) z)
cost-diff1792
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 (/.f64 x y)) x)))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
029210
046180
177180
2143178
3424178
41823178
55798178
08551178
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 (/.f64 x y)) x))) z)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 (/.f64 x y)) x)))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 (log.f64 (/.f64 x y)) x))
(*.f64 (log.f64 (/.f64 x y)) x)
(log.f64 (/.f64 x y))
(/.f64 x y)
x
y
z
#s(approx (- (* x (log (/ x y))) z) z)
z
#s(approx (- (* x (log (/ x y))) z) (*.f64 (log.f64 (/.f64 x y)) x))
(*.f64 (log.f64 (/.f64 x y)) x)
(log.f64 (/.f64 x y))
(/.f64 x y)
x
y
#s(approx (- (* x (log (/ x y))) z) (-.f64 (*.f64 (log.f64 x) x) (*.f64 (log.f64 y) x)))
(-.f64 (*.f64 (log.f64 x) x) (*.f64 (log.f64 y) x))
(*.f64 (log.f64 x) x)
(log.f64 x)
x
(*.f64 (log.f64 y) x)
(log.f64 y)
y
(*.f64 (fma.f64 (log.f64 (/.f64 x y)) x z) (*.f64 (fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) (pow.f64 (fma.f64 (log.f64 (/.f64 x y)) x z) #s(literal -1 binary64))))
(fma.f64 (log.f64 (/.f64 x y)) x z)
(log.f64 (/.f64 x y))
(/.f64 x y)
x
y
z
(*.f64 (fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) (pow.f64 (fma.f64 (log.f64 (/.f64 x y)) x z) #s(literal -1 binary64)))
(fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z))
(neg.f64 z)
(pow.f64 (fma.f64 (log.f64 (/.f64 x y)) x z) #s(literal -1 binary64))
#s(literal -1 binary64)
Outputs
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 (/.f64 x y)) x))) z)
(fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 (/.f64 x y)) x)))
(*.f64 (log.f64 (/.f64 x y)) x)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 (log.f64 (/.f64 x y)) x))
(/.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 (/.f64 x y)))
(*.f64 (log.f64 (/.f64 x y)) x)
(log.f64 (/.f64 x y))
(/.f64 x y)
x
y
z
#s(approx (- (* x (log (/ x y))) z) z)
z
#s(approx (- (* x (log (/ x y))) z) (*.f64 (log.f64 (/.f64 x y)) x))
(*.f64 (log.f64 (/.f64 x y)) x)
(log.f64 (/.f64 x y))
(/.f64 x y)
x
y
#s(approx (- (* x (log (/ x y))) z) (-.f64 (*.f64 (log.f64 x) x) (*.f64 (log.f64 y) x)))
#s(approx (- (* x (log (/ x y))) z) (*.f64 (-.f64 (log.f64 x) (log.f64 y)) x))
(-.f64 (*.f64 (log.f64 x) x) (*.f64 (log.f64 y) x))
(*.f64 (-.f64 (log.f64 x) (log.f64 y)) x)
(*.f64 (log.f64 x) x)
(log.f64 x)
x
(*.f64 (log.f64 y) x)
(log.f64 y)
y
(*.f64 (fma.f64 (log.f64 (/.f64 x y)) x z) (*.f64 (fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) (pow.f64 (fma.f64 (log.f64 (/.f64 x y)) x z) #s(literal -1 binary64))))
(fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z))
(fma.f64 (log.f64 (/.f64 x y)) x z)
(log.f64 (/.f64 x y))
(/.f64 x y)
x
y
z
(*.f64 (fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) (pow.f64 (fma.f64 (log.f64 (/.f64 x y)) x z) #s(literal -1 binary64)))
(/.f64 (fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) (fma.f64 (log.f64 (/.f64 x y)) x z))
(fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z))
(neg.f64 z)
(pow.f64 (fma.f64 (log.f64 (/.f64 x y)) x z) #s(literal -1 binary64))
#s(literal -1 binary64)

localize134.0ms (1.2%)

Memory
0.0MiB live, 233.1MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0.0625
(fma.f64 (log.f64 (/.f64 x y)) x z)
accuracy0.0859375
(pow.f64 (fma.f64 (log.f64 (/.f64 x y)) x z) #s(literal -1 binary64))
accuracy0.109375
(*.f64 (fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) (pow.f64 (fma.f64 (log.f64 (/.f64 x y)) x z) #s(literal -1 binary64)))
accuracy7.323272671371029
(log.f64 (/.f64 x y))
accuracy0.11328125
(*.f64 (log.f64 y) x)
accuracy0.1484375
(*.f64 (log.f64 x) x)
accuracy0.2627223398535691
(-.f64 (*.f64 (log.f64 x) x) (*.f64 (log.f64 y) x))
accuracy16.21906129209775
#s(approx (- (* x (log (/ x y))) z) (-.f64 (*.f64 (log.f64 x) x) (*.f64 (log.f64 y) x)))
accuracy0
(/.f64 x y)
accuracy0.14453125
(*.f64 (log.f64 (/.f64 x y)) x)
accuracy7.323272671371029
(log.f64 (/.f64 x y))
accuracy16.21906129209775
#s(approx (- (* x (log (/ x y))) z) (*.f64 (log.f64 (/.f64 x y)) x))
accuracy32.75760080539813
#s(approx (- (* x (log (/ x y))) z) z)
accuracy0.1328125
(/.f64 #s(literal 1 binary64) (*.f64 (log.f64 (/.f64 x y)) x))
accuracy0.14453125
(*.f64 (log.f64 (/.f64 x y)) x)
accuracy0.15234375
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 (/.f64 x y)) x)))
accuracy7.323272671371029
(log.f64 (/.f64 x y))
Samples
75.0ms122×0invalid
35.0ms134×0valid
Compiler

Compiled 201 to 26 computations (87.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 67.0ms
ival-div: 31.0ms (46% of total)
ival-log: 14.0ms (20.8% of total)
ival-mult: 10.0ms (14.8% of total)
ival-sub: 5.0ms (7.4% of total)
ival-pow: 4.0ms (5.9% of total)
ival-add: 2.0ms (3% of total)
ival-neg: 1.0ms (1.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series288.0ms (2.5%)

Memory
3.5MiB live, 455.7MiB allocated
Counts
17 → 480
Calls
Call 1
Inputs
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 (/.f64 x y)) x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 (/.f64 x y)) x))) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 (/.f64 x y)) x))) z) (patch (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 (/.f64 x y)) x))) z) #<representation binary64>) () ())
#s(alt (*.f64 (log.f64 (/.f64 x y)) x) (patch (*.f64 (log.f64 (/.f64 x y)) x) #<representation binary64>) () ())
#s(alt (log.f64 (/.f64 x y)) (patch (log.f64 (/.f64 x y)) #<representation binary64>) () ())
#s(alt #s(approx (- (* x (log (/ x y))) z) z) (patch #s(approx (- (* x (log (/ x y))) z) z) #<representation binary64>) () ())
#s(alt #s(approx (- (* x (log (/ x y))) z) (*.f64 (log.f64 (/.f64 x y)) x)) (patch #s(approx (- (* x (log (/ x y))) z) (*.f64 (log.f64 (/.f64 x y)) x)) #<representation binary64>) () ())
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 (log.f64 x) x) (*.f64 (log.f64 y) x)) (patch (-.f64 (*.f64 (log.f64 x) x) (*.f64 (log.f64 y) x)) #<representation binary64>) () ())
#s(alt #s(approx (- (* x (log (/ x y))) z) (-.f64 (*.f64 (log.f64 x) x) (*.f64 (log.f64 y) x))) (patch #s(approx (- (* x (log (/ x y))) z) (-.f64 (*.f64 (log.f64 x) x) (*.f64 (log.f64 y) x))) #<representation binary64>) () ())
#s(alt (*.f64 (log.f64 x) x) (patch (*.f64 (log.f64 x) x) #<representation binary64>) () ())
#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 (log.f64 (/.f64 x y)) x z) (*.f64 (fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) (pow.f64 (fma.f64 (log.f64 (/.f64 x y)) x z) #s(literal -1 binary64)))) (patch (*.f64 (fma.f64 (log.f64 (/.f64 x y)) x z) (*.f64 (fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) (pow.f64 (fma.f64 (log.f64 (/.f64 x y)) x z) #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) (pow.f64 (fma.f64 (log.f64 (/.f64 x y)) x z) #s(literal -1 binary64))) (patch (*.f64 (fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) (pow.f64 (fma.f64 (log.f64 (/.f64 x y)) x z) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (log.f64 (/.f64 x y)) x z) (patch (fma.f64 (log.f64 (/.f64 x y)) x z) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 (/.f64 x y)) x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 (/.f64 x y)) x)) #<representation binary64>) () ())
#s(alt (*.f64 (log.f64 y) x) (patch (*.f64 (log.f64 y) x) #<representation binary64>) () ())
#s(alt (pow.f64 (fma.f64 (log.f64 (/.f64 x y)) x z) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (log.f64 (/.f64 x y)) x z) #s(literal -1 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (* x (log (/ x y))) (taylor 0 z) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 (/.f64 x y)) x))) z) (patch (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 (/.f64 x y)) x))) z) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* x (log (/ x y)))) (taylor 0 z) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 (/.f64 x y)) x))) z) (patch (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 (/.f64 x y)) x))) z) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* x (log (/ x y)))) (taylor 0 z) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 (/.f64 x y)) x))) z) (patch (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 (/.f64 x y)) x))) z) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* x (log (/ x y)))) (taylor 0 z) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 (/.f64 x y)) x))) z) (patch (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 (/.f64 x y)) x))) z) #<representation binary64>) () ())) ())
#s(alt (* x (log (/ x y))) (taylor 0 z) (#s(alt #s(approx (- (* x (log (/ x y))) z) z) (patch #s(approx (- (* x (log (/ x y))) z) z) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* x (log (/ x y)))) (taylor 0 z) (#s(alt #s(approx (- (* x (log (/ x y))) z) z) (patch #s(approx (- (* x (log (/ x y))) z) z) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* x (log (/ x y)))) (taylor 0 z) (#s(alt #s(approx (- (* x (log (/ x y))) z) z) (patch #s(approx (- (* x (log (/ x y))) z) z) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* x (log (/ x y)))) (taylor 0 z) (#s(alt #s(approx (- (* x (log (/ x y))) z) z) (patch #s(approx (- (* x (log (/ x y))) z) z) #<representation binary64>) () ())) ())
#s(alt (* x (log (/ x y))) (taylor 0 z) (#s(alt #s(approx (- (* x (log (/ x y))) z) (*.f64 (log.f64 (/.f64 x y)) x)) (patch #s(approx (- (* x (log (/ x y))) z) (*.f64 (log.f64 (/.f64 x y)) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* x (log (/ x y)))) (taylor 0 z) (#s(alt #s(approx (- (* x (log (/ x y))) z) (*.f64 (log.f64 (/.f64 x y)) x)) (patch #s(approx (- (* x (log (/ x y))) z) (*.f64 (log.f64 (/.f64 x y)) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* x (log (/ x y)))) (taylor 0 z) (#s(alt #s(approx (- (* x (log (/ x y))) z) (*.f64 (log.f64 (/.f64 x y)) x)) (patch #s(approx (- (* x (log (/ x y))) z) (*.f64 (log.f64 (/.f64 x y)) x)) #<representation binary64>) () ())) ())
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#s(alt (* x (log y)) (taylor -inf x) (#s(alt (*.f64 (log.f64 y) x) (patch (*.f64 (log.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* x (log y)) (taylor -inf x) (#s(alt (*.f64 (log.f64 y) x) (patch (*.f64 (log.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* x (log y)) (taylor -inf x) (#s(alt (*.f64 (log.f64 y) x) (patch (*.f64 (log.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))))) (taylor -inf x) (#s(alt (pow.f64 (fma.f64 (log.f64 (/.f64 x y)) x z) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (log.f64 (/.f64 x y)) x z) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (/ z (* x (pow (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) 2))) (/ 1 (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))))) x)) (taylor -inf x) (#s(alt (pow.f64 (fma.f64 (log.f64 (/.f64 x y)) x z) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (log.f64 (/.f64 x y)) x z) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (/ (pow z 2) (* x (pow (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) 3))) (/ z (pow (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) 2))) x)) (/ 1 (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))))) x)) (taylor -inf x) (#s(alt (pow.f64 (fma.f64 (log.f64 (/.f64 x y)) x z) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (log.f64 (/.f64 x y)) x z) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow z 3) (* x (pow (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) 4))) (/ (pow z 2) (pow (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) 3))) x)) (/ z (pow (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) 2))) x)) (/ 1 (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))))) x)) (taylor -inf x) (#s(alt (pow.f64 (fma.f64 (log.f64 (/.f64 x y)) x z) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (log.f64 (/.f64 x y)) x z) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
58.0ms
y
@inf
((/ 1 (/ 1 (* (log (/ x y)) x))) (- (/ 1 (/ 1 (* (log (/ x y)) x))) z) (* (log (/ x y)) x) (log (/ x y)) (- (* x (log (/ x y))) z) (- (* x (log (/ x y))) z) (/ x y) (- (* (log x) x) (* (log y) x)) (- (* x (log (/ x y))) z) (* (log x) x) (log x) (* (+ (* (log (/ x y)) x) z) (* (+ (* (log (/ x y)) x) (neg z)) (pow (+ (* (log (/ x y)) x) z) -1))) (* (+ (* (log (/ x y)) x) (neg z)) (pow (+ (* (log (/ x y)) x) z) -1)) (+ (* (log (/ x y)) x) z) (/ 1 (* (log (/ x y)) x)) (* (log y) x) (pow (+ (* (log (/ x y)) x) z) -1))
54.0ms
x
@inf
((/ 1 (/ 1 (* (log (/ x y)) x))) (- (/ 1 (/ 1 (* (log (/ x y)) x))) z) (* (log (/ x y)) x) (log (/ x y)) (- (* x (log (/ x y))) z) (- (* x (log (/ x y))) z) (/ x y) (- (* (log x) x) (* (log y) x)) (- (* x (log (/ x y))) z) (* (log x) x) (log x) (* (+ (* (log (/ x y)) x) z) (* (+ (* (log (/ x y)) x) (neg z)) (pow (+ (* (log (/ x y)) x) z) -1))) (* (+ (* (log (/ x y)) x) (neg z)) (pow (+ (* (log (/ x y)) x) z) -1)) (+ (* (log (/ x y)) x) z) (/ 1 (* (log (/ x y)) x)) (* (log y) x) (pow (+ (* (log (/ x y)) x) z) -1))
45.0ms
y
@0
((/ 1 (/ 1 (* (log (/ x y)) x))) (- (/ 1 (/ 1 (* (log (/ x y)) x))) z) (* (log (/ x y)) x) (log (/ x y)) (- (* x (log (/ x y))) z) (- (* x (log (/ x y))) z) (/ x y) (- (* (log x) x) (* (log y) x)) (- (* x (log (/ x y))) z) (* (log x) x) (log x) (* (+ (* (log (/ x y)) x) z) (* (+ (* (log (/ x y)) x) (neg z)) (pow (+ (* (log (/ x y)) x) z) -1))) (* (+ (* (log (/ x y)) x) (neg z)) (pow (+ (* (log (/ x y)) x) z) -1)) (+ (* (log (/ x y)) x) z) (/ 1 (* (log (/ x y)) x)) (* (log y) x) (pow (+ (* (log (/ x y)) x) z) -1))
44.0ms
y
@-inf
((/ 1 (/ 1 (* (log (/ x y)) x))) (- (/ 1 (/ 1 (* (log (/ x y)) x))) z) (* (log (/ x y)) x) (log (/ x y)) (- (* x (log (/ x y))) z) (- (* x (log (/ x y))) z) (/ x y) (- (* (log x) x) (* (log y) x)) (- (* x (log (/ x y))) z) (* (log x) x) (log x) (* (+ (* (log (/ x y)) x) z) (* (+ (* (log (/ x y)) x) (neg z)) (pow (+ (* (log (/ x y)) x) z) -1))) (* (+ (* (log (/ x y)) x) (neg z)) (pow (+ (* (log (/ x y)) x) z) -1)) (+ (* (log (/ x y)) x) z) (/ 1 (* (log (/ x y)) x)) (* (log y) x) (pow (+ (* (log (/ x y)) x) z) -1))
33.0ms
x
@0
((/ 1 (/ 1 (* (log (/ x y)) x))) (- (/ 1 (/ 1 (* (log (/ x y)) x))) z) (* (log (/ x y)) x) (log (/ x y)) (- (* x (log (/ x y))) z) (- (* x (log (/ x y))) z) (/ x y) (- (* (log x) x) (* (log y) x)) (- (* x (log (/ x y))) z) (* (log x) x) (log x) (* (+ (* (log (/ x y)) x) z) (* (+ (* (log (/ x y)) x) (neg z)) (pow (+ (* (log (/ x y)) x) z) -1))) (* (+ (* (log (/ x y)) x) (neg z)) (pow (+ (* (log (/ x y)) x) z) -1)) (+ (* (log (/ x y)) x) z) (/ 1 (* (log (/ x y)) x)) (* (log y) x) (pow (+ (* (log (/ x y)) x) z) -1))

simplify230.0ms (2%)

Memory
17.4MiB live, 248.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03745663
112005275
240345149
083545036
Stop Event
iter limit
node limit
Counts
480 → 477
Calls
Call 1
Inputs
(* x (log (/ x y)))
(+ (* -1 z) (* x (log (/ x y))))
(+ (* -1 z) (* x (log (/ x y))))
(+ (* -1 z) (* x (log (/ x y))))
(* x (log (/ x y)))
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(+ (* -1 z) (* x (log (/ x y))))
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(* x (log (/ x y)))
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(+ (* -1 z) (* x (log (/ x y))))
(+ (* -1 z) (* x (log (/ x y))))
(* x (log (/ x y)))
(+ (* -1 z) (* x (log (/ x y))))
(+ (* -1 z) (* x (log (/ x y))))
(+ (* -1 z) (* x (log (/ x y))))
(* x (log (/ x y)))
(+ (* -1 z) (* x (log (/ x y))))
(+ (* -1 z) (* x (log (/ x y))))
(+ (* -1 z) (* x (log (/ x y))))
1
(+ 1 (* -2 (/ z (* x (log (/ x y))))))
(+ 1 (* z (- (* 2 (/ z (* (pow x 2) (pow (log (/ x y)) 2)))) (* 2 (/ 1 (* x (log (/ x y))))))))
(+ 1 (* z (- (* z (+ (* -2 (/ z (* (pow x 3) (pow (log (/ x y)) 3)))) (* 2 (/ 1 (* (pow x 2) (pow (log (/ x y)) 2)))))) (* 2 (/ 1 (* x (log (/ x y))))))))
(* x (log (/ x y)))
(+ z (* x (log (/ x y))))
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(+ z (* x (log (/ x y))))
(/ 1 (* x (log (/ x y))))
(+ (* -1 (/ z (* (pow x 2) (pow (log (/ x y)) 2)))) (/ 1 (* x (log (/ x y)))))
(+ (* z (- (/ z (* (pow x 3) (pow (log (/ x y)) 3))) (/ 1 (* (pow x 2) (pow (log (/ x y)) 2))))) (/ 1 (* x (log (/ x y)))))
(+ (* z (- (* z (+ (* -1 (/ z (* (pow x 4) (pow (log (/ x y)) 4)))) (/ 1 (* (pow x 3) (pow (log (/ x y)) 3))))) (/ 1 (* (pow x 2) (pow (log (/ x y)) 2))))) (/ 1 (* x (log (/ x y)))))
(* -1 z)
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(* z (- (/ (* x (log (/ x y))) z) 1))
(* z (- (/ (* x (log (/ x y))) z) 1))
(* -1 z)
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(* z (- (/ (* x (log (/ x y))) z) 1))
(* z (- (/ (* x (log (/ x y))) z) 1))
(* -1 z)
(* z (- (/ (* x (log (/ x y))) z) 1))
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(* z (- (/ (* x (log (/ x y))) z) 1))
(* -1 z)
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(* z (- (/ (* x (log (/ x y))) z) 1))
(* z (- (/ (* x (log (/ x y))) z) 1))
(* -1 z)
(* z (- (/ (* x (log (/ x y))) z) 1))
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(* z (- (/ (* x (log (/ x y))) z) 1))
-1
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z
(* z (+ 1 (/ (* x (log (/ x y))) z)))
(* z (+ 1 (/ (* x (log (/ x y))) z)))
(* z (+ 1 (/ (* x (log (/ x y))) z)))
(/ 1 z)
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(/ (- (+ 1 (/ (* (pow x 2) (pow (log (/ x y)) 2)) (pow z 2))) (/ (* x (log (/ x y))) z)) z)
(/ (- (+ 1 (* -1 (/ (* (pow x 3) (pow (log (/ x y)) 3)) (pow z 3)))) (+ (* -1 (/ (* (pow x 2) (pow (log (/ x y)) 2)) (pow z 2))) (/ (* x (log (/ x y))) z))) z)
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ (* x (log (/ x y))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (* x (log (/ x y))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (* x (log (/ x y))) z)))))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ (* x (log (/ x y))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (* x (log (/ x y))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (* x (log (/ x y))) z)))))
(* -1 z)
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(* -1 (* z (+ 1 (* -1 (/ (* x (log (/ x y))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (* x (log (/ x y))) z)))))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ (* x (log (/ x y))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (* x (log (/ x y))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (* x (log (/ x y))) z)))))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ (* x (log (/ x y))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (* x (log (/ x y))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (* x (log (/ x y))) z)))))
-1
(- (* -1 (/ (- (* -1 (* x (log (/ x y)))) (* x (log (/ x y)))) z)) 1)
(- (* -1 (/ (- (+ (* -1 (* x (log (/ x y)))) (* -1 (/ (* x (* (log (/ x y)) (- (* -1 (* x (log (/ x y)))) (* x (log (/ x y)))))) z))) (* x (log (/ x y)))) z)) 1)
(- (* -1 (/ (- (+ (* -1 (* x (log (/ x y)))) (* -1 (/ (- (* -1 (/ (* (pow x 2) (* (pow (log (/ x y)) 2) (- (* -1 (* x (log (/ x y)))) (* x (log (/ x y)))))) z)) (* -1 (* x (* (log (/ x y)) (- (* -1 (* x (log (/ x y)))) (* x (log (/ x y)))))))) z))) (* x (log (/ x y)))) z)) 1)
z
(* -1 (* z (- (* -1 (/ (* x (log (/ x y))) z)) 1)))
(* -1 (* z (- (* -1 (/ (* x (log (/ x y))) z)) 1)))
(* -1 (* z (- (* -1 (/ (* x (log (/ x y))) z)) 1)))
(/ 1 z)
(* -1 (/ (- (/ (* x (log (/ x y))) z) 1) z))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (pow (log (/ x y)) 2)) z) (* x (log (/ x y)))) z)) 1) z))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (log (/ x y)) 3)) z) (* (pow x 2) (pow (log (/ x y)) 2))) z)) (* x (log (/ x y)))) z)) 1) z))
(* x (+ (log x) (* -1 (log y))))
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(- (* x (+ (log x) (* -1 (log y)))) z)
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(- (* x (log x)) (* x (log y)))
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1
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rewrite475.0ms (4.1%)

Memory
-50.1MiB live, 299.2MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
029165
046133
1161131
21092131
08568131
Stop Event
iter limit
node limit
iter limit
Counts
17 → 1 288
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 (/.f64 x y)) x)))
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 (/.f64 x y)) x))) z)
(*.f64 (log.f64 (/.f64 x y)) x)
(log.f64 (/.f64 x y))
#s(approx (- (* x (log (/ x y))) z) z)
#s(approx (- (* x (log (/ x y))) z) (*.f64 (log.f64 (/.f64 x y)) x))
(/.f64 x y)
(-.f64 (*.f64 (log.f64 x) x) (*.f64 (log.f64 y) x))
#s(approx (- (* x (log (/ x y))) z) (-.f64 (*.f64 (log.f64 x) x) (*.f64 (log.f64 y) x)))
(*.f64 (log.f64 x) x)
(log.f64 x)
(*.f64 (fma.f64 (log.f64 (/.f64 x y)) x z) (*.f64 (fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) (pow.f64 (fma.f64 (log.f64 (/.f64 x y)) x z) #s(literal -1 binary64))))
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(fma.f64 (log.f64 (/.f64 x y)) x z)
(/.f64 #s(literal 1 binary64) (*.f64 (log.f64 (/.f64 x y)) x))
(*.f64 (log.f64 y) x)
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Outputs
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eval397.0ms (3.5%)

Memory
43.1MiB live, 651.1MiB allocated
Compiler

Compiled 82 516 to 4 742 computations (94.3% saved)

prune92.0ms (0.8%)

Memory
15.6MiB live, 327.7MiB allocated
Pruning

31 alts after pruning (21 fresh and 10 done)

PrunedKeptTotal
New2 56152 566
Fresh31619
Picked145
Done066
Total2 565312 596
Accuracy
100.0%
Counts
2 596 → 31
Alt Table
Click to see full alt table
StatusAccuracyProgram
58.1%
(fma.f64 (/.f64 x (*.f64 (fma.f64 (log.f64 (/.f64 x y)) x z) (pow.f64 (log.f64 (/.f64 y x)) #s(literal -2 binary64)))) x (/.f64 (*.f64 (neg.f64 z) z) (fma.f64 (log.f64 (/.f64 x y)) x z)))
78.1%
(fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z))
54.5%
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 0 binary64) z) (*.f64 (log.f64 (/.f64 x y)) x))) (*.f64 (+.f64 #s(literal 0 binary64) z) #s(literal 1 binary64)))
47.3%
(-.f64 (fma.f64 (log.f64 (neg.f64 x)) x (*.f64 (neg.f64 (log.f64 (neg.f64 y))) x)) z)
41.4%
(-.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 (neg.f64 y)) #s(literal 3 binary64))) x) (fma.f64 (log.f64 (neg.f64 y)) (log.f64 (*.f64 (neg.f64 y) (neg.f64 x))) (pow.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)))) z)
57.0%
(-.f64 (/.f64 (*.f64 (*.f64 (log.f64 (*.f64 (neg.f64 y) (neg.f64 x))) (log.f64 (/.f64 x y))) x) (log.f64 (*.f64 (neg.f64 y) (neg.f64 x)))) z)
78.0%
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 (/.f64 x y)) #s(literal -1 binary64)) x)) z)
78.0%
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 (/.f64 x y)) x))) z)
47.3%
(-.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x)) x) (*.f64 (neg.f64 (log.f64 (neg.f64 y))) x)) z)
47.3%
(-.f64 (*.f64 x (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y)))) z)
78.1%
(-.f64 (*.f64 x (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)))) z)
76.7%
(*.f64 (fma.f64 (log.f64 (/.f64 x y)) x z) (*.f64 (fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 (/.f64 x y)) x z))))
69.5%
#s(approx (- (/ 1 (/ 1 (* (log (/ x y)) x))) z) (*.f64 (fma.f64 (log.f64 (/.f64 x y)) (/.f64 x z) #s(literal -1 binary64)) z))
52.1%
#s(approx (- (+ (* (log x) x) (* (neg (log y)) x)) z) (fma.f64 (-.f64 (log.f64 x) (log.f64 y)) x (neg.f64 z)))
26.8%
#s(approx (- (* x (- (log (neg x)) (log (neg y)))) z) (*.f64 (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y))) x))
26.8%
#s(approx (- (* x (log (/ x y))) z) (fma.f64 (neg.f64 (log.f64 y)) x (*.f64 (log.f64 x) x)))
1.3%
#s(approx (- (* x (log (/ x y))) z) (/.f64 (/.f64 (*.f64 z (pow.f64 z #s(literal 3 binary64))) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)))
2.2%
#s(approx (- (* x (log (/ x y))) z) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -2 binary64))) (+.f64 #s(literal 0 binary64) z)))
26.9%
#s(approx (- (* x (log (/ x y))) z) (/.f64 (*.f64 (neg.f64 z) z) z))
2.2%
#s(approx (- (* x (log (/ x y))) z) (/.f64 (*.f64 z z) z))
44.4%
#s(approx (- (* x (log (/ x y))) z) (/.f64 x (pow.f64 (log.f64 (/.f64 x y)) #s(literal -1 binary64))))
2.3%
#s(approx (- (* x (log (/ x y))) z) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1 binary64))))
47.0%
#s(approx (- (* x (log (/ x y))) z) (/.f64 #s(literal -1 binary64) (pow.f64 z #s(literal -1 binary64))))
26.7%
#s(approx (- (* x (log (/ x y))) z) (-.f64 (*.f64 (log.f64 x) x) (*.f64 (log.f64 y) x)))
2.2%
#s(approx (- (* x (log (/ x y))) z) (*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 z z)))
20.2%
#s(approx (- (* x (log (/ x y))) z) (*.f64 (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 y) #s(literal 2 binary64))) (log.f64 (*.f64 y x))) x))
26.7%
#s(approx (- (* x (log (/ x y))) z) (*.f64 (-.f64 (log.f64 x) (log.f64 y)) x))
44.5%
#s(approx (- (* x (log (/ x y))) z) (*.f64 (neg.f64 (log.f64 (/.f64 y x))) x))
44.4%
#s(approx (- (* x (log (/ x y))) z) (*.f64 (log.f64 (/.f64 x y)) x))
47.1%
#s(approx (- (* x (log (/ x y))) z) (neg.f64 z))
2.3%
#s(approx (- (* x (log (/ x y))) z) z)
Compiler

Compiled 1 245 to 509 computations (59.1% saved)

regimes125.0ms (1.1%)

Memory
5.2MiB live, 157.3MiB allocated
Counts
55 → 2
Calls
Call 1
Inputs
#s(approx (- (* x (log (/ x y))) z) z)
#s(approx (- (* x (log (/ x y))) z) (neg.f64 z))
#s(approx (- (* x (log (/ x y))) z) (/.f64 (*.f64 z z) z))
#s(approx (- (* x (log (/ x y))) z) (/.f64 (*.f64 (neg.f64 z) z) z))
#s(approx (- (* x (log (/ x y))) z) (/.f64 (*.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z)))
#s(approx (- (* x (log (/ x y))) z) (*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 z z)))
#s(approx (- (* x (log (/ x y))) z) (/.f64 #s(literal -1 binary64) (pow.f64 z #s(literal -1 binary64))))
#s(approx (- (* x (log (/ x y))) z) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1 binary64))))
#s(approx (- (* x (log (/ x y))) z) (*.f64 (log.f64 (/.f64 x y)) x))
#s(approx (- (* x (log (/ x y))) z) (*.f64 (neg.f64 (log.f64 (/.f64 y x))) x))
(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
(fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z))
(-.f64 (*.f64 x (neg.f64 (log.f64 (/.f64 y x)))) z)
#s(approx (- (* x (log (/ x y))) z) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -2 binary64))) (+.f64 #s(literal 0 binary64) z)))
(-.f64 (*.f64 x (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)))) z)
#s(approx (- (* x (log (/ x y))) z) (*.f64 (fma.f64 (log.f64 (/.f64 x y)) (/.f64 x z) #s(literal -1 binary64)) z))
#s(approx (- (/ 1 (/ 1 (* (log (/ x y)) x))) z) (*.f64 (fma.f64 (log.f64 (/.f64 x y)) (/.f64 x z) #s(literal -1 binary64)) z))
#s(approx (- (* x (log (/ x y))) z) (/.f64 (/.f64 (*.f64 z (pow.f64 z #s(literal 3 binary64))) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)))
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 (/.f64 x y)) x))) z)
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 0 binary64) z) (*.f64 (log.f64 (/.f64 x y)) x))) (*.f64 (+.f64 #s(literal 0 binary64) z) #s(literal 1 binary64)))
#s(approx (- (* x (log (/ x y))) z) (*.f64 (-.f64 (log.f64 x) (log.f64 y)) x))
#s(approx (- (* x (log (/ x y))) z) (neg.f64 (fma.f64 (-.f64 (log.f64 y) (log.f64 x)) x z)))
#s(approx (- (+ (* (log x) x) (* (neg (log y)) x)) z) (fma.f64 (-.f64 (log.f64 x) (log.f64 y)) x (neg.f64 z)))
#s(approx (- (* x (log (/ x y))) z) (*.f64 (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y))) x))
#s(approx (- (* x (- (log (neg x)) (log (neg y)))) z) (*.f64 (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y))) x))
#s(approx (- (* x (log (/ x y))) z) (-.f64 (*.f64 (log.f64 x) x) (*.f64 (log.f64 y) x)))
#s(approx (- (* x (log (/ x y))) z) (fma.f64 (neg.f64 (log.f64 y)) x (*.f64 (log.f64 x) x)))
(-.f64 (*.f64 x (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y)))) z)
(-.f64 (fma.f64 (log.f64 x) x (*.f64 (neg.f64 (log.f64 y)) x)) z)
(-.f64 (+.f64 (*.f64 (log.f64 x) x) (*.f64 (neg.f64 (log.f64 y)) x)) z)
(-.f64 (fma.f64 (log.f64 (neg.f64 x)) x (*.f64 (neg.f64 (log.f64 (neg.f64 y))) x)) z)
(-.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x)) x) (*.f64 (neg.f64 (log.f64 (neg.f64 y))) x)) z)
#s(approx (- (* x (log (/ x y))) z) (/.f64 x (pow.f64 (log.f64 (/.f64 x y)) #s(literal -1 binary64))))
#s(approx (- (* x (log (/ x y))) z) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) x (*.f64 (log.f64 (neg.f64 x)) x)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 (/.f64 x y)) #s(literal -1 binary64)) x)) z)
(-.f64 (/.f64 (*.f64 (*.f64 (log.f64 (*.f64 (neg.f64 y) (neg.f64 x))) (log.f64 (/.f64 x y))) x) (log.f64 (*.f64 (neg.f64 y) (neg.f64 x)))) z)
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) x) x) (*.f64 z z)) (fma.f64 (log.f64 (/.f64 x y)) x z))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (neg.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)))) (*.f64 (neg.f64 z) z)) (neg.f64 (fma.f64 (log.f64 (/.f64 x y)) x z)))
(*.f64 (fma.f64 (log.f64 (/.f64 x y)) x z) (*.f64 (fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 (/.f64 x y)) x z))))
(*.f64 (fma.f64 (neg.f64 z) z (pow.f64 (*.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64))) (pow.f64 (fma.f64 (log.f64 (/.f64 x y)) x z) #s(literal -1 binary64)))
(*.f64 (fma.f64 (log.f64 (/.f64 x y)) x z) (*.f64 (fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) (pow.f64 (fma.f64 (log.f64 (/.f64 x y)) x z) #s(literal -1 binary64))))
(fma.f64 (*.f64 (/.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) (fma.f64 (log.f64 (/.f64 x y)) x z)) x) x (/.f64 (*.f64 z z) (fma.f64 (log.f64 (/.f64 x y)) x z)))
(fma.f64 (*.f64 x x) (/.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) (fma.f64 (log.f64 (/.f64 x y)) x z)) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 (log.f64 (/.f64 x y)) x z))))
(fma.f64 (*.f64 (/.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) (fma.f64 (log.f64 (/.f64 x y)) x z)) x) x (/.f64 (*.f64 (neg.f64 z) z) (fma.f64 (log.f64 (/.f64 x y)) x z)))
(fma.f64 (*.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (log.f64 (/.f64 x y)) x z)) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 (log.f64 (/.f64 x y)) x z))))
(fma.f64 (/.f64 x (*.f64 (fma.f64 (log.f64 (/.f64 x y)) x z) (pow.f64 (log.f64 (/.f64 y x)) #s(literal -2 binary64)))) x (/.f64 (*.f64 (neg.f64 z) z) (fma.f64 (log.f64 (/.f64 x y)) x z)))
(fma.f64 (/.f64 x (fma.f64 (log.f64 (/.f64 x y)) x z)) (/.f64 x (pow.f64 (log.f64 (/.f64 y x)) #s(literal -2 binary64))) (/.f64 (*.f64 (neg.f64 z) z) (fma.f64 (log.f64 (/.f64 x y)) x z)))
(fma.f64 (/.f64 (*.f64 x x) (fma.f64 (log.f64 (/.f64 x y)) x z)) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 (/.f64 y x)) #s(literal -2 binary64))) (/.f64 (*.f64 (neg.f64 z) z) (fma.f64 (log.f64 (/.f64 x y)) x z)))
#s(approx (- (* x (log (/ x y))) z) (*.f64 (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 y) #s(literal 2 binary64))) (log.f64 (*.f64 y x))) x))
(-.f64 (*.f64 x (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 y) #s(literal 2 binary64))) (log.f64 (*.f64 y x)))) z)
(*.f64 (pow.f64 (fma.f64 (fma.f64 (log.f64 (/.f64 x y)) x z) z (pow.f64 (*.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 (log.f64 (/.f64 x y)) x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(-.f64 (*.f64 x (-.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 (log.f64 x) (neg.f64 (log.f64 y)))) (/.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (-.f64 (log.f64 x) (neg.f64 (log.f64 y)))))) z)
(-.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 (neg.f64 y)) #s(literal 3 binary64))) x) (fma.f64 (log.f64 (neg.f64 y)) (log.f64 (*.f64 (neg.f64 y) (neg.f64 x))) (pow.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)))) z)
(-.f64 (*.f64 x (/.f64 (-.f64 (pow.f64 (log.f64 (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 (neg.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (neg.f64 y)) #s(literal 2 binary64)) (*.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y))))))) z)
Outputs
(-.f64 (fma.f64 (log.f64 (neg.f64 x)) x (*.f64 (neg.f64 (log.f64 (neg.f64 y))) x)) z)
#s(approx (- (* x (log (/ x y))) z) (neg.f64 (fma.f64 (-.f64 (log.f64 y) (log.f64 x)) x z)))
Calls

5 calls:

38.0ms
x
37.0ms
z
17.0ms
(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
17.0ms
(*.f64 x (log.f64 (/.f64 x y)))
15.0ms
y
Results
AccuracySegmentsBranch
99.4%2x
99.4%2y
81.3%2z
89.3%3(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
89.3%3(*.f64 x (log.f64 (/.f64 x y)))
Compiler

Compiled 17 to 22 computations (-29.4% saved)

regimes22.0ms (0.2%)

Memory
7.9MiB live, 43.7MiB allocated
Counts
30 → 2
Calls
Call 1
Inputs
#s(approx (- (* x (log (/ x y))) z) z)
#s(approx (- (* x (log (/ x y))) z) (neg.f64 z))
#s(approx (- (* x (log (/ x y))) z) (/.f64 (*.f64 z z) z))
#s(approx (- (* x (log (/ x y))) z) (/.f64 (*.f64 (neg.f64 z) z) z))
#s(approx (- (* x (log (/ x y))) z) (/.f64 (*.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z)))
#s(approx (- (* x (log (/ x y))) z) (*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 z z)))
#s(approx (- (* x (log (/ x y))) z) (/.f64 #s(literal -1 binary64) (pow.f64 z #s(literal -1 binary64))))
#s(approx (- (* x (log (/ x y))) z) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1 binary64))))
#s(approx (- (* x (log (/ x y))) z) (*.f64 (log.f64 (/.f64 x y)) x))
#s(approx (- (* x (log (/ x y))) z) (*.f64 (neg.f64 (log.f64 (/.f64 y x))) x))
(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
(fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z))
(-.f64 (*.f64 x (neg.f64 (log.f64 (/.f64 y x)))) z)
#s(approx (- (* x (log (/ x y))) z) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -2 binary64))) (+.f64 #s(literal 0 binary64) z)))
(-.f64 (*.f64 x (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)))) z)
#s(approx (- (* x (log (/ x y))) z) (*.f64 (fma.f64 (log.f64 (/.f64 x y)) (/.f64 x z) #s(literal -1 binary64)) z))
#s(approx (- (/ 1 (/ 1 (* (log (/ x y)) x))) z) (*.f64 (fma.f64 (log.f64 (/.f64 x y)) (/.f64 x z) #s(literal -1 binary64)) z))
#s(approx (- (* x (log (/ x y))) z) (/.f64 (/.f64 (*.f64 z (pow.f64 z #s(literal 3 binary64))) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)))
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 (/.f64 x y)) x))) z)
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 0 binary64) z) (*.f64 (log.f64 (/.f64 x y)) x))) (*.f64 (+.f64 #s(literal 0 binary64) z) #s(literal 1 binary64)))
#s(approx (- (* x (log (/ x y))) z) (*.f64 (-.f64 (log.f64 x) (log.f64 y)) x))
#s(approx (- (* x (log (/ x y))) z) (neg.f64 (fma.f64 (-.f64 (log.f64 y) (log.f64 x)) x z)))
#s(approx (- (+ (* (log x) x) (* (neg (log y)) x)) z) (fma.f64 (-.f64 (log.f64 x) (log.f64 y)) x (neg.f64 z)))
#s(approx (- (* x (log (/ x y))) z) (*.f64 (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y))) x))
#s(approx (- (* x (- (log (neg x)) (log (neg y)))) z) (*.f64 (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y))) x))
#s(approx (- (* x (log (/ x y))) z) (-.f64 (*.f64 (log.f64 x) x) (*.f64 (log.f64 y) x)))
#s(approx (- (* x (log (/ x y))) z) (fma.f64 (neg.f64 (log.f64 y)) x (*.f64 (log.f64 x) x)))
(-.f64 (*.f64 x (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y)))) z)
(-.f64 (fma.f64 (log.f64 x) x (*.f64 (neg.f64 (log.f64 y)) x)) z)
(-.f64 (+.f64 (*.f64 (log.f64 x) x) (*.f64 (neg.f64 (log.f64 y)) x)) z)
Outputs
(-.f64 (*.f64 x (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y)))) z)
#s(approx (- (* x (log (/ x y))) z) (neg.f64 (fma.f64 (-.f64 (log.f64 y) (log.f64 x)) x z)))
Calls

2 calls:

12.0ms
y
9.0ms
x
Results
AccuracySegmentsBranch
99.4%2x
99.4%2y
Compiler

Compiled 2 to 6 computations (-200% saved)

regimes34.0ms (0.3%)

Memory
-59.8MiB live, 47.5MiB allocated
Counts
27 → 4
Calls
Call 1
Inputs
#s(approx (- (* x (log (/ x y))) z) z)
#s(approx (- (* x (log (/ x y))) z) (neg.f64 z))
#s(approx (- (* x (log (/ x y))) z) (/.f64 (*.f64 z z) z))
#s(approx (- (* x (log (/ x y))) z) (/.f64 (*.f64 (neg.f64 z) z) z))
#s(approx (- (* x (log (/ x y))) z) (/.f64 (*.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z)))
#s(approx (- (* x (log (/ x y))) z) (*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 z z)))
#s(approx (- (* x (log (/ x y))) z) (/.f64 #s(literal -1 binary64) (pow.f64 z #s(literal -1 binary64))))
#s(approx (- (* x (log (/ x y))) z) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1 binary64))))
#s(approx (- (* x (log (/ x y))) z) (*.f64 (log.f64 (/.f64 x y)) x))
#s(approx (- (* x (log (/ x y))) z) (*.f64 (neg.f64 (log.f64 (/.f64 y x))) x))
(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
(fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z))
(-.f64 (*.f64 x (neg.f64 (log.f64 (/.f64 y x)))) z)
#s(approx (- (* x (log (/ x y))) z) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -2 binary64))) (+.f64 #s(literal 0 binary64) z)))
(-.f64 (*.f64 x (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)))) z)
#s(approx (- (* x (log (/ x y))) z) (*.f64 (fma.f64 (log.f64 (/.f64 x y)) (/.f64 x z) #s(literal -1 binary64)) z))
#s(approx (- (/ 1 (/ 1 (* (log (/ x y)) x))) z) (*.f64 (fma.f64 (log.f64 (/.f64 x y)) (/.f64 x z) #s(literal -1 binary64)) z))
#s(approx (- (* x (log (/ x y))) z) (/.f64 (/.f64 (*.f64 z (pow.f64 z #s(literal 3 binary64))) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)))
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 (/.f64 x y)) x))) z)
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 0 binary64) z) (*.f64 (log.f64 (/.f64 x y)) x))) (*.f64 (+.f64 #s(literal 0 binary64) z) #s(literal 1 binary64)))
#s(approx (- (* x (log (/ x y))) z) (*.f64 (-.f64 (log.f64 x) (log.f64 y)) x))
#s(approx (- (* x (log (/ x y))) z) (neg.f64 (fma.f64 (-.f64 (log.f64 y) (log.f64 x)) x z)))
#s(approx (- (+ (* (log x) x) (* (neg (log y)) x)) z) (fma.f64 (-.f64 (log.f64 x) (log.f64 y)) x (neg.f64 z)))
#s(approx (- (* x (log (/ x y))) z) (*.f64 (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y))) x))
#s(approx (- (* x (- (log (neg x)) (log (neg y)))) z) (*.f64 (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y))) x))
#s(approx (- (* x (log (/ x y))) z) (-.f64 (*.f64 (log.f64 x) x) (*.f64 (log.f64 y) x)))
#s(approx (- (* x (log (/ x y))) z) (fma.f64 (neg.f64 (log.f64 y)) x (*.f64 (log.f64 x) x)))
Outputs
#s(approx (- (* x (log (/ x y))) z) (*.f64 (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y))) x))
(-.f64 (*.f64 x (neg.f64 (log.f64 (/.f64 y x)))) z)
#s(approx (- (* x (log (/ x y))) z) (neg.f64 z))
#s(approx (- (* x (log (/ x y))) z) (neg.f64 (fma.f64 (-.f64 (log.f64 y) (log.f64 x)) x z)))
Calls

2 calls:

11.0ms
y
8.0ms
x
Results
AccuracySegmentsBranch
97.0%4x
89.1%2y
Compiler

Compiled 2 to 6 computations (-200% saved)

regimes8.0ms (0.1%)

Memory
12.6MiB live, 12.6MiB allocated
Counts
23 → 3
Calls
Call 1
Inputs
#s(approx (- (* x (log (/ x y))) z) z)
#s(approx (- (* x (log (/ x y))) z) (neg.f64 z))
#s(approx (- (* x (log (/ x y))) z) (/.f64 (*.f64 z z) z))
#s(approx (- (* x (log (/ x y))) z) (/.f64 (*.f64 (neg.f64 z) z) z))
#s(approx (- (* x (log (/ x y))) z) (/.f64 (*.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z)))
#s(approx (- (* x (log (/ x y))) z) (*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 z z)))
#s(approx (- (* x (log (/ x y))) z) (/.f64 #s(literal -1 binary64) (pow.f64 z #s(literal -1 binary64))))
#s(approx (- (* x (log (/ x y))) z) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1 binary64))))
#s(approx (- (* x (log (/ x y))) z) (*.f64 (log.f64 (/.f64 x y)) x))
#s(approx (- (* x (log (/ x y))) z) (*.f64 (neg.f64 (log.f64 (/.f64 y x))) x))
(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
(fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z))
(-.f64 (*.f64 x (neg.f64 (log.f64 (/.f64 y x)))) z)
#s(approx (- (* x (log (/ x y))) z) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -2 binary64))) (+.f64 #s(literal 0 binary64) z)))
(-.f64 (*.f64 x (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)))) z)
#s(approx (- (* x (log (/ x y))) z) (*.f64 (fma.f64 (log.f64 (/.f64 x y)) (/.f64 x z) #s(literal -1 binary64)) z))
#s(approx (- (/ 1 (/ 1 (* (log (/ x y)) x))) z) (*.f64 (fma.f64 (log.f64 (/.f64 x y)) (/.f64 x z) #s(literal -1 binary64)) z))
#s(approx (- (* x (log (/ x y))) z) (/.f64 (/.f64 (*.f64 z (pow.f64 z #s(literal 3 binary64))) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)))
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 (/.f64 x y)) x))) z)
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 0 binary64) z) (*.f64 (log.f64 (/.f64 x y)) x))) (*.f64 (+.f64 #s(literal 0 binary64) z) #s(literal 1 binary64)))
#s(approx (- (* x (log (/ x y))) z) (*.f64 (-.f64 (log.f64 x) (log.f64 y)) x))
#s(approx (- (* x (log (/ x y))) z) (neg.f64 (fma.f64 (-.f64 (log.f64 y) (log.f64 x)) x z)))
#s(approx (- (+ (* (log x) x) (* (neg (log y)) x)) z) (fma.f64 (-.f64 (log.f64 x) (log.f64 y)) x (neg.f64 z)))
Outputs
(-.f64 (*.f64 x (neg.f64 (log.f64 (/.f64 y x)))) z)
#s(approx (- (* x (log (/ x y))) z) (neg.f64 z))
#s(approx (- (* x (log (/ x y))) z) (neg.f64 (fma.f64 (-.f64 (log.f64 y) (log.f64 x)) x z)))
Calls

1 calls:

7.0ms
x
Results
AccuracySegmentsBranch
93.4%3x
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes30.0ms (0.3%)

Memory
6.4MiB live, 83.2MiB allocated
Counts
21 → 3
Calls
Call 1
Inputs
#s(approx (- (* x (log (/ x y))) z) z)
#s(approx (- (* x (log (/ x y))) z) (neg.f64 z))
#s(approx (- (* x (log (/ x y))) z) (/.f64 (*.f64 z z) z))
#s(approx (- (* x (log (/ x y))) z) (/.f64 (*.f64 (neg.f64 z) z) z))
#s(approx (- (* x (log (/ x y))) z) (/.f64 (*.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z)))
#s(approx (- (* x (log (/ x y))) z) (*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 z z)))
#s(approx (- (* x (log (/ x y))) z) (/.f64 #s(literal -1 binary64) (pow.f64 z #s(literal -1 binary64))))
#s(approx (- (* x (log (/ x y))) z) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1 binary64))))
#s(approx (- (* x (log (/ x y))) z) (*.f64 (log.f64 (/.f64 x y)) x))
#s(approx (- (* x (log (/ x y))) z) (*.f64 (neg.f64 (log.f64 (/.f64 y x))) x))
(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
(fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z))
(-.f64 (*.f64 x (neg.f64 (log.f64 (/.f64 y x)))) z)
#s(approx (- (* x (log (/ x y))) z) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -2 binary64))) (+.f64 #s(literal 0 binary64) z)))
(-.f64 (*.f64 x (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)))) z)
#s(approx (- (* x (log (/ x y))) z) (*.f64 (fma.f64 (log.f64 (/.f64 x y)) (/.f64 x z) #s(literal -1 binary64)) z))
#s(approx (- (/ 1 (/ 1 (* (log (/ x y)) x))) z) (*.f64 (fma.f64 (log.f64 (/.f64 x y)) (/.f64 x z) #s(literal -1 binary64)) z))
#s(approx (- (* x (log (/ x y))) z) (/.f64 (/.f64 (*.f64 z (pow.f64 z #s(literal 3 binary64))) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)))
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 (/.f64 x y)) x))) z)
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 0 binary64) z) (*.f64 (log.f64 (/.f64 x y)) x))) (*.f64 (+.f64 #s(literal 0 binary64) z) #s(literal 1 binary64)))
#s(approx (- (* x (log (/ x y))) z) (*.f64 (-.f64 (log.f64 x) (log.f64 y)) x))
Outputs
#s(approx (- (* x (log (/ x y))) z) (neg.f64 z))
(fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z))
#s(approx (- (* x (log (/ x y))) z) (neg.f64 z))
Calls

4 calls:

8.0ms
y
8.0ms
(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
7.0ms
x
6.0ms
(*.f64 x (log.f64 (/.f64 x y)))
Results
AccuracySegmentsBranch
89.1%3(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
89.1%3(*.f64 x (log.f64 (/.f64 x y)))
78.1%1y
89.4%4x
Compiler

Compiled 16 to 19 computations (-18.8% saved)

regimes10.0ms (0.1%)

Memory
0.1MiB live, 39.6MiB allocated
Counts
11 → 3
Calls
Call 1
Inputs
#s(approx (- (* x (log (/ x y))) z) z)
#s(approx (- (* x (log (/ x y))) z) (neg.f64 z))
#s(approx (- (* x (log (/ x y))) z) (/.f64 (*.f64 z z) z))
#s(approx (- (* x (log (/ x y))) z) (/.f64 (*.f64 (neg.f64 z) z) z))
#s(approx (- (* x (log (/ x y))) z) (/.f64 (*.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z)))
#s(approx (- (* x (log (/ x y))) z) (*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 z z)))
#s(approx (- (* x (log (/ x y))) z) (/.f64 #s(literal -1 binary64) (pow.f64 z #s(literal -1 binary64))))
#s(approx (- (* x (log (/ x y))) z) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1 binary64))))
#s(approx (- (* x (log (/ x y))) z) (*.f64 (log.f64 (/.f64 x y)) x))
#s(approx (- (* x (log (/ x y))) z) (*.f64 (neg.f64 (log.f64 (/.f64 y x))) x))
(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
Outputs
#s(approx (- (* x (log (/ x y))) z) (neg.f64 z))
(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
#s(approx (- (* x (log (/ x y))) z) (neg.f64 z))
Calls

2 calls:

5.0ms
(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
4.0ms
(*.f64 x (log.f64 (/.f64 x y)))
Results
AccuracySegmentsBranch
89.1%3(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
89.1%3(*.f64 x (log.f64 (/.f64 x y)))
Compiler

Compiled 14 to 13 computations (7.1% saved)

regimes28.0ms (0.2%)

Memory
1.5MiB live, 52.1MiB allocated
Counts
10 → 3
Calls
Call 1
Inputs
#s(approx (- (* x (log (/ x y))) z) z)
#s(approx (- (* x (log (/ x y))) z) (neg.f64 z))
#s(approx (- (* x (log (/ x y))) z) (/.f64 (*.f64 z z) z))
#s(approx (- (* x (log (/ x y))) z) (/.f64 (*.f64 (neg.f64 z) z) z))
#s(approx (- (* x (log (/ x y))) z) (/.f64 (*.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z)))
#s(approx (- (* x (log (/ x y))) z) (*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 z z)))
#s(approx (- (* x (log (/ x y))) z) (/.f64 #s(literal -1 binary64) (pow.f64 z #s(literal -1 binary64))))
#s(approx (- (* x (log (/ x y))) z) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1 binary64))))
#s(approx (- (* x (log (/ x y))) z) (*.f64 (log.f64 (/.f64 x y)) x))
#s(approx (- (* x (log (/ x y))) z) (*.f64 (neg.f64 (log.f64 (/.f64 y x))) x))
Outputs
#s(approx (- (* x (log (/ x y))) z) (*.f64 (neg.f64 (log.f64 (/.f64 y x))) x))
#s(approx (- (* x (log (/ x y))) z) (neg.f64 z))
#s(approx (- (* x (log (/ x y))) z) (*.f64 (neg.f64 (log.f64 (/.f64 y x))) x))
Calls

5 calls:

12.0ms
x
4.0ms
z
4.0ms
y
4.0ms
(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
4.0ms
(*.f64 x (log.f64 (/.f64 x y)))
Results
AccuracySegmentsBranch
50.2%2y
71.1%3z
71.3%3x
58.9%3(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
72.2%5(*.f64 x (log.f64 (/.f64 x y)))
Compiler

Compiled 17 to 22 computations (-29.4% saved)

regimes4.0ms (0%)

Memory
10.0MiB live, 10.0MiB allocated
Counts
9 → 3
Calls
Call 1
Inputs
#s(approx (- (* x (log (/ x y))) z) z)
#s(approx (- (* x (log (/ x y))) z) (neg.f64 z))
#s(approx (- (* x (log (/ x y))) z) (/.f64 (*.f64 z z) z))
#s(approx (- (* x (log (/ x y))) z) (/.f64 (*.f64 (neg.f64 z) z) z))
#s(approx (- (* x (log (/ x y))) z) (/.f64 (*.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z)))
#s(approx (- (* x (log (/ x y))) z) (*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 z z)))
#s(approx (- (* x (log (/ x y))) z) (/.f64 #s(literal -1 binary64) (pow.f64 z #s(literal -1 binary64))))
#s(approx (- (* x (log (/ x y))) z) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1 binary64))))
#s(approx (- (* x (log (/ x y))) z) (*.f64 (log.f64 (/.f64 x y)) x))
Outputs
#s(approx (- (* x (log (/ x y))) z) (*.f64 (log.f64 (/.f64 x y)) x))
#s(approx (- (* x (log (/ x y))) z) (neg.f64 z))
#s(approx (- (* x (log (/ x y))) z) (*.f64 (log.f64 (/.f64 x y)) x))
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
71.3%3x
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes51.0ms (0.4%)

Memory
-15.6MiB live, 23.1MiB allocated
Counts
8 → 1
Calls
Call 1
Inputs
#s(approx (- (* x (log (/ x y))) z) z)
#s(approx (- (* x (log (/ x y))) z) (neg.f64 z))
#s(approx (- (* x (log (/ x y))) z) (/.f64 (*.f64 z z) z))
#s(approx (- (* x (log (/ x y))) z) (/.f64 (*.f64 (neg.f64 z) z) z))
#s(approx (- (* x (log (/ x y))) z) (/.f64 (*.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z)))
#s(approx (- (* x (log (/ x y))) z) (*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 z z)))
#s(approx (- (* x (log (/ x y))) z) (/.f64 #s(literal -1 binary64) (pow.f64 z #s(literal -1 binary64))))
#s(approx (- (* x (log (/ x y))) z) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1 binary64))))
Outputs
#s(approx (- (* x (log (/ x y))) z) (neg.f64 z))
Calls

5 calls:

37.0ms
x
3.0ms
z
3.0ms
y
3.0ms
(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
3.0ms
(*.f64 x (log.f64 (/.f64 x y)))
Results
AccuracySegmentsBranch
47.1%1y
47.1%1(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
47.1%1(*.f64 x (log.f64 (/.f64 x y)))
47.1%1z
47.1%1x
Compiler

Compiled 17 to 22 computations (-29.4% saved)

regimes7.0ms (0.1%)

Memory
14.7MiB live, 14.7MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (- (* x (log (/ x y))) z) z)
Outputs
#s(approx (- (* x (log (/ x y))) z) z)
Calls

5 calls:

1.0ms
z
1.0ms
x
1.0ms
y
1.0ms
(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
1.0ms
(*.f64 x (log.f64 (/.f64 x y)))
Results
AccuracySegmentsBranch
2.3%1x
2.3%1y
2.3%1(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
2.3%1(*.f64 x (log.f64 (/.f64 x y)))
2.3%1z
Compiler

Compiled 17 to 22 computations (-29.4% saved)

bsearch50.0ms (0.4%)

Memory
-5.1MiB live, 33.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
47.0ms
-2.066203093592443e-307
4.2013555579756395e-301
Samples
30.0ms149×0invalid
8.0ms144×0valid
Compiler

Compiled 218 to 211 computations (3.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
ival-div: 24.0ms (78.5% of total)
ival-log: 3.0ms (9.8% of total)
ival-mult: 2.0ms (6.5% of total)
ival-sub: 1.0ms (3.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
-2.066203093592443e-307
4.2013555579756395e-301
Compiler

Compiled 200 to 202 computations (-1% saved)

bsearch96.0ms (0.8%)

Memory
-21.0MiB live, 58.8MiB allocated
Algorithm
binary-search
Stop Event
predicate-same
narrow-enough
narrow-enough
Steps
TimeLeftRight
42.0ms
-6.060140371135549e-304
5.4858946353192806e-307
26.0ms
-4.986185746225362e-168
-1.1438577099736294e-170
24.0ms
-1.2064702850174614e+169
-4.0365164178177975e+168
Samples
49.0ms240×0valid
26.0ms315×0invalid
Compiler

Compiled 228 to 265 computations (-16.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-div: 5.0ms (30.5% of total)
ival-log: 5.0ms (30.5% of total)
ival-mult: 4.0ms (24.4% of total)
ival-sub: 3.0ms (18.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated
Algorithm
binary-search
Stop Event
predicate-same
narrow-enough
Steps
TimeLeftRight
0.0ms
-6.060140371135549e-304
5.4858946353192806e-307
1.0ms
-4.986185746225362e-168
-1.1438577099736294e-170
Compiler

Compiled 133 to 165 computations (-24.1% saved)

bsearch1.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
8.149111277139606e+302
+inf
0.0ms
-inf
-2.0676804023532388e+305
Compiler

Compiled 11 to 13 computations (-18.2% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
8.149111277139606e+302
+inf
0.0ms
-inf
-2.0676804023532388e+305
Compiler

Compiled 11 to 13 computations (-18.2% saved)

bsearch63.0ms (0.5%)

Memory
27.2MiB live, 65.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
23.0ms
9.410544501445304e+72
1.2752125387226801e+76
36.0ms
-2.2147578151277753e-32
-3.04225431279435e-38
Samples
16.0ms272×0valid
14.0ms253×0invalid
Compiler

Compiled 198 to 268 computations (-35.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-log: 5.0ms (31.3% of total)
ival-div: 4.0ms (25% of total)
ival-mult: 3.0ms (18.8% of total)
ival-sub: 2.0ms (12.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch18.0ms (0.2%)

Memory
-35.4MiB live, 2.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
9.410544501445304e+72
1.2752125387226801e+76
16.0ms
-2.2147578151277753e-32
-3.04225431279435e-38
Compiler

Compiled 181 to 251 computations (-38.7% saved)

simplify53.0ms (0.5%)

Memory
4.0MiB live, 43.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
072399
1103399
2138399
3157399
4162399
5163399
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 y #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (-.f64 (fma.f64 (log.f64 (neg.f64 x)) x (*.f64 (neg.f64 (log.f64 (neg.f64 y))) x)) z) #s(approx (- (* x (log (/ x y))) z) (neg.f64 (fma.f64 (-.f64 (log.f64 y) (log.f64 x)) x z))))
(if (<=.f64 y #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (-.f64 (*.f64 x (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y)))) z) #s(approx (- (* x (log (/ x y))) z) (neg.f64 (fma.f64 (-.f64 (log.f64 y) (log.f64 x)) x z))))
(if (<=.f64 x #s(literal -11499999999999999658389688410250366828965708682881503947764649350050850490906737064000588914650571417524089195612265112282198447682304436302522610685473189927236958945280 binary64)) #s(approx (- (* x (log (/ x y))) z) (*.f64 (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y))) x)) (if (<=.f64 x #s(literal -8974107526632097/271942652322184754529069161754863937192751676276240344678115398758606622648756348282451201159797394262471336696958208519857448620878186106577674229128492724195241610667721328144244801536 binary64)) (-.f64 (*.f64 x (neg.f64 (log.f64 (/.f64 y x)))) z) (if (<=.f64 x #s(literal -5060056332682765/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848 binary64)) #s(approx (- (* x (log (/ x y))) z) (neg.f64 z)) #s(approx (- (* x (log (/ x y))) z) (neg.f64 (fma.f64 (-.f64 (log.f64 y) (log.f64 x)) x z))))))
(if (<=.f64 x #s(literal -8974107526632097/271942652322184754529069161754863937192751676276240344678115398758606622648756348282451201159797394262471336696958208519857448620878186106577674229128492724195241610667721328144244801536 binary64)) (-.f64 (*.f64 x (neg.f64 (log.f64 (/.f64 y x)))) z) (if (<=.f64 x #s(literal -5060056332682765/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848 binary64)) #s(approx (- (* x (log (/ x y))) z) (neg.f64 z)) #s(approx (- (* x (log (/ x y))) z) (neg.f64 (fma.f64 (-.f64 (log.f64 y) (log.f64 x)) x z)))))
(if (<=.f64 (*.f64 x (log.f64 (/.f64 x y))) #s(literal -inf.0 binary64)) #s(approx (- (* x (log (/ x y))) z) (neg.f64 z)) (if (<=.f64 (*.f64 x (log.f64 (/.f64 x y))) #s(literal 1000000000000000000161765076786456438212668646231659438295495017101117499225738747865260243034213915253779773568180337416027445820567779199643391541606026068611150746122284976177256650044200527276807327067690462112661427500197051226489898260678763391449376088547292320814127957486330655468919122263277568 binary64)) (fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) #s(approx (- (* x (log (/ x y))) z) (neg.f64 z))))
(if (<=.f64 (*.f64 x (log.f64 (/.f64 x y))) #s(literal -inf.0 binary64)) #s(approx (- (* x (log (/ x y))) z) (neg.f64 z)) (if (<=.f64 (*.f64 x (log.f64 (/.f64 x y))) #s(literal 1000000000000000000161765076786456438212668646231659438295495017101117499225738747865260243034213915253779773568180337416027445820567779199643391541606026068611150746122284976177256650044200527276807327067690462112661427500197051226489898260678763391449376088547292320814127957486330655468919122263277568 binary64)) (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) #s(approx (- (* x (log (/ x y))) z) (neg.f64 z))))
(if (<=.f64 x #s(literal -1461501637330903/91343852333181432387730302044767688728495783936 binary64)) #s(approx (- (* x (log (/ x y))) z) (*.f64 (neg.f64 (log.f64 (/.f64 y x))) x)) (if (<=.f64 x #s(literal 9500000000000000544994064783134181012819936339512895317261518991792275456 binary64)) #s(approx (- (* x (log (/ x y))) z) (neg.f64 z)) #s(approx (- (* x (log (/ x y))) z) (*.f64 (neg.f64 (log.f64 (/.f64 y x))) x))))
(if (<=.f64 x #s(literal -1461501637330903/91343852333181432387730302044767688728495783936 binary64)) #s(approx (- (* x (log (/ x y))) z) (*.f64 (log.f64 (/.f64 x y)) x)) (if (<=.f64 x #s(literal 9500000000000000544994064783134181012819936339512895317261518991792275456 binary64)) #s(approx (- (* x (log (/ x y))) z) (neg.f64 z)) #s(approx (- (* x (log (/ x y))) z) (*.f64 (log.f64 (/.f64 x y)) x))))
#s(approx (- (* x (log (/ x y))) z) (neg.f64 z))
#s(approx (- (* x (log (/ x y))) z) z)
Outputs
(if (<=.f64 y #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (-.f64 (fma.f64 (log.f64 (neg.f64 x)) x (*.f64 (neg.f64 (log.f64 (neg.f64 y))) x)) z) #s(approx (- (* x (log (/ x y))) z) (neg.f64 (fma.f64 (-.f64 (log.f64 y) (log.f64 x)) x z))))
(if (<=.f64 y #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (-.f64 (fma.f64 (log.f64 (neg.f64 x)) x (*.f64 (log.f64 (neg.f64 y)) (neg.f64 x))) z) #s(approx (- (* x (log (/ x y))) z) (neg.f64 (fma.f64 (-.f64 (log.f64 y) (log.f64 x)) x z))))
(if (<=.f64 y #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (-.f64 (*.f64 x (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y)))) z) #s(approx (- (* x (log (/ x y))) z) (neg.f64 (fma.f64 (-.f64 (log.f64 y) (log.f64 x)) x z))))
(if (<=.f64 y #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (-.f64 (*.f64 (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y))) x) z) #s(approx (- (* x (log (/ x y))) z) (neg.f64 (fma.f64 (-.f64 (log.f64 y) (log.f64 x)) x z))))
(if (<=.f64 x #s(literal -11499999999999999658389688410250366828965708682881503947764649350050850490906737064000588914650571417524089195612265112282198447682304436302522610685473189927236958945280 binary64)) #s(approx (- (* x (log (/ x y))) z) (*.f64 (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y))) x)) (if (<=.f64 x #s(literal -8974107526632097/271942652322184754529069161754863937192751676276240344678115398758606622648756348282451201159797394262471336696958208519857448620878186106577674229128492724195241610667721328144244801536 binary64)) (-.f64 (*.f64 x (neg.f64 (log.f64 (/.f64 y x)))) z) (if (<=.f64 x #s(literal -5060056332682765/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848 binary64)) #s(approx (- (* x (log (/ x y))) z) (neg.f64 z)) #s(approx (- (* x (log (/ x y))) z) (neg.f64 (fma.f64 (-.f64 (log.f64 y) (log.f64 x)) x z))))))
(if (<=.f64 x #s(literal -11499999999999999658389688410250366828965708682881503947764649350050850490906737064000588914650571417524089195612265112282198447682304436302522610685473189927236958945280 binary64)) #s(approx (- (* x (log (/ x y))) z) (*.f64 (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y))) x)) (if (<=.f64 x #s(literal -8974107526632097/271942652322184754529069161754863937192751676276240344678115398758606622648756348282451201159797394262471336696958208519857448620878186106577674229128492724195241610667721328144244801536 binary64)) (-.f64 (*.f64 (log.f64 (/.f64 y x)) (neg.f64 x)) z) (if (<=.f64 x #s(literal -5060056332682765/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848 binary64)) #s(approx (- (* x (log (/ x y))) z) (neg.f64 z)) #s(approx (- (* x (log (/ x y))) z) (neg.f64 (fma.f64 (-.f64 (log.f64 y) (log.f64 x)) x z))))))
(if (<=.f64 x #s(literal -8974107526632097/271942652322184754529069161754863937192751676276240344678115398758606622648756348282451201159797394262471336696958208519857448620878186106577674229128492724195241610667721328144244801536 binary64)) (-.f64 (*.f64 x (neg.f64 (log.f64 (/.f64 y x)))) z) (if (<=.f64 x #s(literal -5060056332682765/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848 binary64)) #s(approx (- (* x (log (/ x y))) z) (neg.f64 z)) #s(approx (- (* x (log (/ x y))) z) (neg.f64 (fma.f64 (-.f64 (log.f64 y) (log.f64 x)) x z)))))
(if (<=.f64 x #s(literal -8974107526632097/271942652322184754529069161754863937192751676276240344678115398758606622648756348282451201159797394262471336696958208519857448620878186106577674229128492724195241610667721328144244801536 binary64)) (-.f64 (*.f64 (log.f64 (/.f64 y x)) (neg.f64 x)) z) (if (<=.f64 x #s(literal -5060056332682765/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848 binary64)) #s(approx (- (* x (log (/ x y))) z) (neg.f64 z)) #s(approx (- (* x (log (/ x y))) z) (neg.f64 (fma.f64 (-.f64 (log.f64 y) (log.f64 x)) x z)))))
(if (<=.f64 (*.f64 x (log.f64 (/.f64 x y))) #s(literal -inf.0 binary64)) #s(approx (- (* x (log (/ x y))) z) (neg.f64 z)) (if (<=.f64 (*.f64 x (log.f64 (/.f64 x y))) #s(literal 1000000000000000000161765076786456438212668646231659438295495017101117499225738747865260243034213915253779773568180337416027445820567779199643391541606026068611150746122284976177256650044200527276807327067690462112661427500197051226489898260678763391449376088547292320814127957486330655468919122263277568 binary64)) (fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) #s(approx (- (* x (log (/ x y))) z) (neg.f64 z))))
(if (<=.f64 (*.f64 (log.f64 (/.f64 x y)) x) #s(literal -inf.0 binary64)) #s(approx (- (* x (log (/ x y))) z) (neg.f64 z)) (if (<=.f64 (*.f64 (log.f64 (/.f64 x y)) x) #s(literal 1000000000000000000161765076786456438212668646231659438295495017101117499225738747865260243034213915253779773568180337416027445820567779199643391541606026068611150746122284976177256650044200527276807327067690462112661427500197051226489898260678763391449376088547292320814127957486330655468919122263277568 binary64)) (fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) #s(approx (- (* x (log (/ x y))) z) (neg.f64 z))))
(if (<=.f64 (*.f64 x (log.f64 (/.f64 x y))) #s(literal -inf.0 binary64)) #s(approx (- (* x (log (/ x y))) z) (neg.f64 z)) (if (<=.f64 (*.f64 x (log.f64 (/.f64 x y))) #s(literal 1000000000000000000161765076786456438212668646231659438295495017101117499225738747865260243034213915253779773568180337416027445820567779199643391541606026068611150746122284976177256650044200527276807327067690462112661427500197051226489898260678763391449376088547292320814127957486330655468919122263277568 binary64)) (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) #s(approx (- (* x (log (/ x y))) z) (neg.f64 z))))
(if (<=.f64 (*.f64 (log.f64 (/.f64 x y)) x) #s(literal -inf.0 binary64)) #s(approx (- (* x (log (/ x y))) z) (neg.f64 z)) (if (<=.f64 (*.f64 (log.f64 (/.f64 x y)) x) #s(literal 1000000000000000000161765076786456438212668646231659438295495017101117499225738747865260243034213915253779773568180337416027445820567779199643391541606026068611150746122284976177256650044200527276807327067690462112661427500197051226489898260678763391449376088547292320814127957486330655468919122263277568 binary64)) (-.f64 (*.f64 (log.f64 (/.f64 x y)) x) z) #s(approx (- (* x (log (/ x y))) z) (neg.f64 z))))
(if (<=.f64 x #s(literal -1461501637330903/91343852333181432387730302044767688728495783936 binary64)) #s(approx (- (* x (log (/ x y))) z) (*.f64 (neg.f64 (log.f64 (/.f64 y x))) x)) (if (<=.f64 x #s(literal 9500000000000000544994064783134181012819936339512895317261518991792275456 binary64)) #s(approx (- (* x (log (/ x y))) z) (neg.f64 z)) #s(approx (- (* x (log (/ x y))) z) (*.f64 (neg.f64 (log.f64 (/.f64 y x))) x))))
(if (<=.f64 x #s(literal -1461501637330903/91343852333181432387730302044767688728495783936 binary64)) #s(approx (- (* x (log (/ x y))) z) (*.f64 (log.f64 (/.f64 y x)) (neg.f64 x))) (if (<=.f64 x #s(literal 9500000000000000544994064783134181012819936339512895317261518991792275456 binary64)) #s(approx (- (* x (log (/ x y))) z) (neg.f64 z)) #s(approx (- (* x (log (/ x y))) z) (*.f64 (log.f64 (/.f64 y x)) (neg.f64 x)))))
(if (<=.f64 x #s(literal -1461501637330903/91343852333181432387730302044767688728495783936 binary64)) #s(approx (- (* x (log (/ x y))) z) (*.f64 (log.f64 (/.f64 x y)) x)) (if (<=.f64 x #s(literal 9500000000000000544994064783134181012819936339512895317261518991792275456 binary64)) #s(approx (- (* x (log (/ x y))) z) (neg.f64 z)) #s(approx (- (* x (log (/ x y))) z) (*.f64 (log.f64 (/.f64 x y)) x))))
#s(approx (- (* x (log (/ x y))) z) (neg.f64 z))
#s(approx (- (* x (log (/ x y))) z) z)

soundness1.7s (14.5%)

Memory
12.6MiB live, 530.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044196
073149
1299145
21934133
08699133
039179
069164
1238134
21544134
08339134
054775
1154719
2424719
31132719
42897719
54858719
65921719
76565719
86831719
96911719
107952719
08339719
0721
01121
13821
223021
3206121
0839521
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
Compiler

Compiled 423 to 232 computations (45.2% saved)

preprocess168.0ms (1.5%)

Memory
26.6MiB live, 140.7MiB allocated
Compiler

Compiled 552 to 170 computations (69.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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