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

Time bar (total: 10.4s)

start0.0ms (0%)

Memory
0.1MiB live, 0.0MiB allocated

analyze69.0ms (0.7%)

Memory
3.1MiB live, 121.5MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%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)

sample1.0s (10%)

Memory
20.1MiB live, 1 519.2MiB allocated
Samples
706.0ms8 256×0valid
61.0ms508×0invalid
Precisions
Click to see histograms. Total time spent on operations: 427.0ms
ival-div: 154.0ms (36.1% of total)
ival-log: 154.0ms (36.1% of total)
ival-mult: 68.0ms (15.9% of total)
ival-sub: 41.0ms (9.6% of total)
ival-true: 7.0ms (1.6% of total)
ival-assert: 4.0ms (0.9% of total)
Bogosity

explain90.0ms (0.9%)

Memory
-6.7MiB live, 186.7MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
570-2(-1.7217886326541307e-267 -3.8396020897422527e+48 -3.0594883107828012e+60)(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-rescue300
(/.f64 x y)overflow30
log.f64(log.f64 (/.f64 x y))uflow-rescue40
(/.f64 x y)underflow25
Confusion
Predicted +Predicted -
+3321
-1201
Precision
0.9705882352941176
Recall
0.6111111111111112
Confusion?
Predicted +Predicted MaybePredicted -
+33021
-10201
Precision?
0.9705882352941176
Recall?
0.6111111111111112
Freqs
test
numberfreq
0222
134
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
33.0ms512×0valid
Compiler

Compiled 60 to 25 computations (58.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-log: 7.0ms (39.2% of total)
ival-div: 5.0ms (28% of total)
ival-mult: 3.0ms (16.8% of total)
ival-sub: 2.0ms (11.2% of total)
ival-true: 1.0ms (5.6% of total)
ival-assert: 0.0ms (0% of total)

preprocess81.0ms (0.8%)

Memory
6.5MiB live, 79.4MiB allocated
Algorithm
egg-herbie
Rules
330×associate-*l*
288×associate-*r*
214×distribute-rgt-in
208×lower-fma.f64
208×lower-fma.f32
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)

prune0.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
79.7%
(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
Compiler

Compiled 8 to 7 computations (12.5% saved)

simplify28.0ms (0.3%)

Memory
-0.3MiB live, 42.2MiB 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)
Rules
208×lower-fma.f64
208×lower-fma.f32
160×lower-*.f32
158×lower-*.f64
72×lower-+.f64
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

localize24.0ms (0.2%)

Memory
11.9MiB live, 49.4MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(/.f64 x y)
accuracy0.00390625
(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
accuracy0.30859375
(*.f64 x (log.f64 (/.f64 x y)))
accuracy13.527339401004301
(log.f64 (/.f64 x y))
Samples
19.0ms256×0valid
Compiler

Compiled 26 to 9 computations (65.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-log: 6.0ms (51.9% of total)
ival-div: 2.0ms (17.3% of total)
ival-mult: 2.0ms (17.3% of total)
ival-sub: 1.0ms (8.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series158.0ms (1.5%)

Memory
-2.1MiB live, 283.6MiB 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
44.0ms
y
@-inf
((- (* x (log (/ x y))) z) (* x (log (/ x y))) (log (/ x y)) (/ x y))
36.0ms
x
@-inf
((- (* x (log (/ x y))) z) (* x (log (/ x y))) (log (/ x y)) (/ x y))
26.0ms
y
@0
((- (* x (log (/ x y))) z) (* x (log (/ x y))) (log (/ x y)) (/ x y))
24.0ms
x
@0
((- (* x (log (/ x y))) z) (* x (log (/ x y))) (log (/ x y)) (/ x y))
7.0ms
x
@inf
((- (* x (log (/ x y))) z) (* x (log (/ x y))) (log (/ x y)) (/ x y))

simplify201.0ms (1.9%)

Memory
20.8MiB live, 171.8MiB allocated
Algorithm
egg-herbie
Rules
13 420×lower-fma.f64
13 420×lower-fma.f32
2 490×lower-*.f64
2 490×lower-*.f32
2 412×lower-+.f64
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)

rewrite260.0ms (2.5%)

Memory
-17.8MiB live, 380.6MiB allocated
Rules
5 984×lower-fma.f64
5 984×lower-fma.f32
4 206×lower-*.f32
4 204×lower-*.f64
3 642×lower-/.f32
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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eval94.0ms (0.9%)

Memory
-7.0MiB live, 70.3MiB allocated
Compiler

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

prune34.0ms (0.3%)

Memory
9.9MiB live, 48.8MiB allocated
Pruning

20 alts after pruning (19 fresh and 1 done)

PrunedKeptTotal
New39819417
Fresh000
Picked011
Done000
Total39820418
Accuracy
100.0%
Counts
418 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
47.8%
(fma.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) (/.f64 (*.f64 x 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))))
48.6%
(fma.f64 (*.f64 (*.f64 x x) (log.f64 (/.f64 x y))) (/.f64 (log.f64 (/.f64 x y)) (fma.f64 (log.f64 (/.f64 x y)) x z)) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 (log.f64 (/.f64 x y)) x z))))
47.8%
(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))))
79.7%
(fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z))
48.4%
(/.f64 (fma.f64 (neg.f64 z) z (pow.f64 (*.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64))) (fma.f64 (log.f64 (/.f64 x y)) x z))
22.6%
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (log.f64 (/.f64 x y)) x z) (*.f64 z z))) (*.f64 (/.f64 (fma.f64 (log.f64 (/.f64 x y)) x z) (pow.f64 (*.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 (/.f64 (fma.f64 (log.f64 (/.f64 x y)) x z) (pow.f64 (*.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64))) (/.f64 (fma.f64 (log.f64 (/.f64 x y)) x z) (*.f64 z z))))
79.6%
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) #s(literal -1 binary64)))
46.2%
(-.f64 (fma.f64 (log.f64 x) x (*.f64 (neg.f64 (log.f64 y)) x)) z)
39.7%
(-.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 y) #s(literal 2 binary64))) x) (log.f64 (*.f64 y x))) z)
53.2%
(-.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)
53.1%
(-.f64 (*.f64 x (-.f64 (/.f64 (pow.f64 (log.f64 (neg.f64 x)) #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)))))) (/.f64 (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)
53.2%
(-.f64 (*.f64 x (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y)))) z)
46.2%
(-.f64 (*.f64 x (-.f64 (log.f64 x) (log.f64 y))) z)
79.6%
(-.f64 (*.f64 x (neg.f64 (log.f64 (/.f64 y x)))) z)
79.7%
(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
48.3%
(*.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)))
77.8%
(*.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))))
25.6%
#s(approx (- (* x (log (/ x y))) z) (*.f64 (-.f64 (log.f64 x) (log.f64 y)) x))
44.6%
#s(approx (- (* x (log (/ x y))) z) (*.f64 (log.f64 (/.f64 x y)) x))
48.0%
#s(approx (- (* x (log (/ x y))) z) (neg.f64 z))
Compiler

Compiled 824 to 465 computations (43.6% saved)

simplify224.0ms (2.1%)

Memory
23.3MiB live, 142.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 y x)
cost-diff0
(log.f64 (/.f64 y x))
cost-diff0
(pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64))
cost-diff7872
(fma.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) (/.f64 (*.f64 x 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))))
cost-diff0
(pow.f64 (*.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64))
cost-diff0
(neg.f64 z)
cost-diff0
(fma.f64 (neg.f64 z) z (pow.f64 (*.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64)))
cost-diff14976
(/.f64 (fma.f64 (neg.f64 z) z (pow.f64 (*.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64))) (fma.f64 (log.f64 (/.f64 x y)) x z))
cost-diff0
(log.f64 x)
cost-diff0
(-.f64 (log.f64 x) (log.f64 y))
cost-diff0
(*.f64 x (-.f64 (log.f64 x) (log.f64 y)))
cost-diff0
(-.f64 (*.f64 x (-.f64 (log.f64 x) (log.f64 y))) z)
cost-diff0
(neg.f64 z)
cost-diff0
#s(approx (- (* x (log (/ x y))) z) (neg.f64 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))
Rules
10 416×lower-fma.f32
10 408×lower-fma.f64
3 560×lower-*.f32
3 552×lower-*.f64
1 618×lower-+.f64
Iterations

Useful iterations: 7 (0.0ms)

IterNodesCost
032229
057217
188217
2158217
3328217
4675217
51346217
62626212
74310211
85586211
96516211
107143211
117576211
127773211
08145211
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) (neg.f64 z))
(neg.f64 z)
z
(-.f64 (*.f64 x (-.f64 (log.f64 x) (log.f64 y))) z)
(*.f64 x (-.f64 (log.f64 x) (log.f64 y)))
x
(-.f64 (log.f64 x) (log.f64 y))
(log.f64 x)
(log.f64 y)
y
z
(/.f64 (fma.f64 (neg.f64 z) z (pow.f64 (*.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64))) (fma.f64 (log.f64 (/.f64 x y)) x z))
(fma.f64 (neg.f64 z) z (pow.f64 (*.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64)))
(neg.f64 z)
z
(pow.f64 (*.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64))
(*.f64 (log.f64 (/.f64 x y)) x)
(log.f64 (/.f64 x y))
(/.f64 x y)
x
y
#s(literal 2 binary64)
(fma.f64 (log.f64 (/.f64 x y)) x z)
(fma.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) (/.f64 (*.f64 x 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))))
(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)
(/.f64 (*.f64 x x) (fma.f64 (log.f64 (/.f64 x y)) x z))
(*.f64 x x)
(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
(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) (neg.f64 z))
(neg.f64 z)
z
(-.f64 (*.f64 x (-.f64 (log.f64 x) (log.f64 y))) z)
(fma.f64 (-.f64 (log.f64 x) (log.f64 y)) x (neg.f64 z))
(*.f64 x (-.f64 (log.f64 x) (log.f64 y)))
(*.f64 (-.f64 (log.f64 x) (log.f64 y)) x)
x
(-.f64 (log.f64 x) (log.f64 y))
(log.f64 x)
(log.f64 y)
y
z
(/.f64 (fma.f64 (neg.f64 z) z (pow.f64 (*.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64))) (fma.f64 (log.f64 (/.f64 x y)) x z))
(fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z))
(fma.f64 (neg.f64 z) z (pow.f64 (*.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64)))
(neg.f64 z)
z
(pow.f64 (*.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64))
(*.f64 (log.f64 (/.f64 x y)) x)
(log.f64 (/.f64 x y))
(/.f64 x y)
x
y
#s(literal 2 binary64)
(fma.f64 (log.f64 (/.f64 x y)) x z)
(fma.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) (/.f64 (*.f64 x 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))))
(*.f64 (fma.f64 (*.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) x) x (*.f64 (neg.f64 z) z)) (/.f64 #s(literal 1 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)
(/.f64 (*.f64 x x) (fma.f64 (log.f64 (/.f64 x y)) x z))
(*.f64 x x)
(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)

localize171.0ms (1.6%)

Memory
-12.4MiB live, 146.5MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy6.846709031329449
(/.f64 (*.f64 z z) (fma.f64 (log.f64 (/.f64 x y)) x z))
accuracy7.168584118353645
(log.f64 (/.f64 x y))
accuracy7.224089007542676
(log.f64 (/.f64 y x))
accuracy8.56942411620784
(/.f64 (*.f64 x x) (fma.f64 (log.f64 (/.f64 x y)) x z))
accuracy0.1484375
(*.f64 (log.f64 (/.f64 x y)) x)
accuracy0.24999724760556022
(fma.f64 (neg.f64 z) z (pow.f64 (*.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64)))
accuracy7.168584118353645
(log.f64 (/.f64 x y))
accuracy12.393768282006846
(/.f64 (fma.f64 (neg.f64 z) z (pow.f64 (*.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64))) (fma.f64 (log.f64 (/.f64 x y)) x z))
accuracy0
(log.f64 x)
accuracy0.00390625
(-.f64 (*.f64 x (-.f64 (log.f64 x) (log.f64 y))) z)
accuracy0.1484375
(*.f64 x (-.f64 (log.f64 x) (log.f64 y)))
accuracy0.3323111920510797
(-.f64 (log.f64 x) (log.f64 y))
accuracy0
(neg.f64 z)
accuracy16.073056438479643
#s(approx (- (* x (log (/ x y))) z) (neg.f64 z))
accuracy0
(/.f64 x y)
accuracy0
(neg.f64 z)
accuracy0.0859375
(fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z))
accuracy7.168584118353645
(log.f64 (/.f64 x y))
Samples
36.0ms137×0invalid
35.0ms119×0valid
Compiler

Compiled 240 to 33 computations (86.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 48.0ms
ival-div: 11.0ms (23.1% of total)
ival-mult: 11.0ms (23.1% of total)
ival-log: 11.0ms (23.1% of total)
ival-pow2: 5.0ms (10.5% of total)
ival-add: 4.0ms (8.4% of total)
ival-sub: 3.0ms (6.3% of total)
ival-neg: 2.0ms (4.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series752.0ms (7.2%)

Memory
17.9MiB live, 728.1MiB allocated
Counts
19 → 528
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 #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 (-.f64 (*.f64 x (-.f64 (log.f64 x) (log.f64 y))) z) (patch (-.f64 (*.f64 x (-.f64 (log.f64 x) (log.f64 y))) z) #<representation binary64>) () ())
#s(alt (*.f64 x (-.f64 (log.f64 x) (log.f64 y))) (patch (*.f64 x (-.f64 (log.f64 x) (log.f64 y))) #<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 (fma.f64 (neg.f64 z) z (pow.f64 (*.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64))) (fma.f64 (log.f64 (/.f64 x y)) x z)) (patch (/.f64 (fma.f64 (neg.f64 z) z (pow.f64 (*.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64))) (fma.f64 (log.f64 (/.f64 x y)) x z)) #<representation binary64>) () ())
#s(alt (fma.f64 (neg.f64 z) z (pow.f64 (*.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64))) (patch (fma.f64 (neg.f64 z) z (pow.f64 (*.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 (*.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) (/.f64 (*.f64 x 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)))) (patch (fma.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) (/.f64 (*.f64 x 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)))) #<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 (/.f64 y x)) (patch (log.f64 (/.f64 y x)) #<representation binary64>) () ())
#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())
#s(alt (*.f64 (log.f64 (/.f64 x y)) x) (patch (*.f64 (log.f64 (/.f64 x y)) x) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 x x) (fma.f64 (log.f64 (/.f64 x y)) x z)) (patch (/.f64 (*.f64 x x) (fma.f64 (log.f64 (/.f64 x y)) x z)) #<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>) () ())
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 (* 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 (* x (- (log x) (log y))) (taylor 0 z) (#s(alt (-.f64 (*.f64 x (-.f64 (log.f64 x) (log.f64 y))) z) (patch (-.f64 (*.f64 x (-.f64 (log.f64 x) (log.f64 y))) z) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* x (- (log x) (log y)))) (taylor 0 z) (#s(alt (-.f64 (*.f64 x (-.f64 (log.f64 x) (log.f64 y))) z) (patch (-.f64 (*.f64 x (-.f64 (log.f64 x) (log.f64 y))) z) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* x (- (log x) (log y)))) (taylor 0 z) (#s(alt (-.f64 (*.f64 x (-.f64 (log.f64 x) (log.f64 y))) z) (patch (-.f64 (*.f64 x (-.f64 (log.f64 x) (log.f64 y))) z) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* x (- (log x) (log y)))) (taylor 0 z) (#s(alt (-.f64 (*.f64 x (-.f64 (log.f64 x) (log.f64 y))) z) (patch (-.f64 (*.f64 x (-.f64 (log.f64 x) (log.f64 y))) z) #<representation binary64>) () ())) ())
#s(alt (* x (log (/ x y))) (taylor 0 z) (#s(alt (/.f64 (fma.f64 (neg.f64 z) z (pow.f64 (*.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64))) (fma.f64 (log.f64 (/.f64 x y)) x z)) (patch (/.f64 (fma.f64 (neg.f64 z) z (pow.f64 (*.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64))) (fma.f64 (log.f64 (/.f64 x y)) x z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* x (log (/ x y)))) (taylor 0 z) (#s(alt (/.f64 (fma.f64 (neg.f64 z) z (pow.f64 (*.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64))) (fma.f64 (log.f64 (/.f64 x y)) x z)) (patch (/.f64 (fma.f64 (neg.f64 z) z (pow.f64 (*.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64))) (fma.f64 (log.f64 (/.f64 x y)) x z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* x (log (/ x y)))) (taylor 0 z) (#s(alt (/.f64 (fma.f64 (neg.f64 z) z (pow.f64 (*.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64))) (fma.f64 (log.f64 (/.f64 x y)) x z)) (patch (/.f64 (fma.f64 (neg.f64 z) z (pow.f64 (*.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64))) (fma.f64 (log.f64 (/.f64 x y)) x z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* x (log (/ x y)))) (taylor 0 z) (#s(alt (/.f64 (fma.f64 (neg.f64 z) z (pow.f64 (*.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64))) (fma.f64 (log.f64 (/.f64 x y)) x z)) (patch (/.f64 (fma.f64 (neg.f64 z) z (pow.f64 (*.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64))) (fma.f64 (log.f64 (/.f64 x y)) x z)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (pow (log (/ x y)) 2)) (taylor 0 z) (#s(alt (fma.f64 (neg.f64 z) z (pow.f64 (*.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64))) (patch (fma.f64 (neg.f64 z) z (pow.f64 (*.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow z 2)) (* (pow x 2) (pow (log (/ x y)) 2))) (taylor 0 z) (#s(alt (fma.f64 (neg.f64 z) z (pow.f64 (*.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64))) (patch (fma.f64 (neg.f64 z) z (pow.f64 (*.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow z 2)) (* (pow x 2) (pow (log (/ x y)) 2))) (taylor 0 z) (#s(alt (fma.f64 (neg.f64 z) z (pow.f64 (*.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64))) (patch (fma.f64 (neg.f64 z) z (pow.f64 (*.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow z 2)) (* (pow x 2) (pow (log (/ x y)) 2))) (taylor 0 z) (#s(alt (fma.f64 (neg.f64 z) z (pow.f64 (*.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64))) (patch (fma.f64 (neg.f64 z) z (pow.f64 (*.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (pow (log (/ y x)) 2)) (log (/ x y))) (taylor 0 z) (#s(alt (fma.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) (/.f64 (*.f64 x 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)))) (patch (fma.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) (/.f64 (*.f64 x 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)))) #<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 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) (/.f64 (*.f64 x 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)))) (patch (fma.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) (/.f64 (*.f64 x 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)))) #<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 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) (/.f64 (*.f64 x 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)))) (patch (fma.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) (/.f64 (*.f64 x 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)))) #<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 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) (/.f64 (*.f64 x 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)))) (patch (fma.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) (/.f64 (*.f64 x 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)))) #<representation binary64>) () ())) ())
#s(alt (/ x (log (/ x y))) (taylor 0 z) (#s(alt (/.f64 (*.f64 x x) (fma.f64 (log.f64 (/.f64 x y)) x z)) (patch (/.f64 (*.f64 x x) (fma.f64 (log.f64 (/.f64 x y)) x z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ z (pow (log (/ x y)) 2))) (/ x (log (/ x y)))) (taylor 0 z) (#s(alt (/.f64 (*.f64 x x) (fma.f64 (log.f64 (/.f64 x y)) x z)) (patch (/.f64 (*.f64 x x) (fma.f64 (log.f64 (/.f64 x y)) x z)) #<representation binary64>) () ())) ())
#s(alt (+ (* z (- (/ z (* x (pow (log (/ x y)) 3))) (/ 1 (pow (log (/ x y)) 2)))) (/ x (log (/ x y)))) (taylor 0 z) (#s(alt (/.f64 (*.f64 x x) (fma.f64 (log.f64 (/.f64 x y)) x z)) (patch (/.f64 (*.f64 x x) (fma.f64 (log.f64 (/.f64 x y)) x z)) #<representation binary64>) () ())) ())
#s(alt (+ (* z (- (* z (+ (* -1 (/ z (* (pow x 2) (pow (log (/ x y)) 4)))) (/ 1 (* x (pow (log (/ x y)) 3))))) (/ 1 (pow (log (/ x y)) 2)))) (/ x (log (/ x y)))) (taylor 0 z) (#s(alt (/.f64 (*.f64 x x) (fma.f64 (log.f64 (/.f64 x y)) x z)) (patch (/.f64 (*.f64 x x) (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 (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 (* z (- (/ (* x (log (/ x y))) z) 1)) (taylor inf 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 (* z (- (/ (* x (log (/ x y))) z) 1)) (taylor inf 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 (* z (- (/ (* x (log (/ x y))) z) 1)) (taylor inf 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 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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#s(alt (* x (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))) (taylor -inf x) (#s(alt (*.f64 (log.f64 (/.f64 x y)) x) (patch (*.f64 (log.f64 (/.f64 x y)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))) (taylor -inf x) (#s(alt (*.f64 (log.f64 (/.f64 x y)) x) (patch (*.f64 (log.f64 (/.f64 x y)) x) #<representation binary64>) () ())) ())
#s(alt (/ x (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))) (taylor -inf x) (#s(alt (/.f64 (*.f64 x x) (fma.f64 (log.f64 (/.f64 x y)) x z)) (patch (/.f64 (*.f64 x x) (fma.f64 (log.f64 (/.f64 x y)) x z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ z (* x (pow (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) 2))) (/ 1 (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))))))) (taylor -inf x) (#s(alt (/.f64 (*.f64 x x) (fma.f64 (log.f64 (/.f64 x y)) x z)) (patch (/.f64 (*.f64 x x) (fma.f64 (log.f64 (/.f64 x y)) x z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -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)))))))) (taylor -inf x) (#s(alt (/.f64 (*.f64 x x) (fma.f64 (log.f64 (/.f64 x y)) x z)) (patch (/.f64 (*.f64 x x) (fma.f64 (log.f64 (/.f64 x y)) x z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -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)))))))) (taylor -inf x) (#s(alt (/.f64 (*.f64 x x) (fma.f64 (log.f64 (/.f64 x y)) x z)) (patch (/.f64 (*.f64 x x) (fma.f64 (log.f64 (/.f64 x y)) x z)) #<representation binary64>) () ())) ())
#s(alt (/ (pow z 2) (* x (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))))) (taylor -inf x) (#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 (/ (+ (* -1 (/ (pow z 2) (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))))) (/ (pow z 3) (* x (pow (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) 2)))) x)) (taylor -inf x) (#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 (/ (+ (* -1 (/ (- (/ (pow z 4) (* x (pow (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) 3))) (/ (pow z 3) (pow (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) 2))) x)) (* -1 (/ (pow z 2) (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))))) x)) (taylor -inf x) (#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 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow z 5) (* x (pow (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) 4))) (/ (pow z 4) (pow (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) 3))) x)) (/ (pow z 3) (pow (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) 2))) x)) (* -1 (/ (pow z 2) (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))))) x)) (taylor -inf x) (#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>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
289.0ms
z
@inf
((+ (* (log (/ x y)) x) (neg z)) (log (/ x y)) (/ x y) (neg z) (- (* x (log (/ x y))) z) (- (* x (- (log x) (log y))) z) (* x (- (log x) (log y))) (- (log x) (log y)) (log x) (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (pow (* (log (/ x y)) x) 2) (+ (* (pow (log (/ y x)) 2) (/ (* x x) (+ (* (log (/ x y)) x) z))) (neg (/ (* z z) (+ (* (log (/ x y)) x) z)))) (pow (log (/ y x)) 2) (log (/ y x)) (/ y x) (* (log (/ x y)) x) (/ (* x x) (+ (* (log (/ x y)) x) z)) (/ (* z z) (+ (* (log (/ x y)) x) z)))
111.0ms
y
@-inf
((+ (* (log (/ x y)) x) (neg z)) (log (/ x y)) (/ x y) (neg z) (- (* x (log (/ x y))) z) (- (* x (- (log x) (log y))) z) (* x (- (log x) (log y))) (- (log x) (log y)) (log x) (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (pow (* (log (/ x y)) x) 2) (+ (* (pow (log (/ y x)) 2) (/ (* x x) (+ (* (log (/ x y)) x) z))) (neg (/ (* z z) (+ (* (log (/ x y)) x) z)))) (pow (log (/ y x)) 2) (log (/ y x)) (/ y x) (* (log (/ x y)) x) (/ (* x x) (+ (* (log (/ x y)) x) z)) (/ (* z z) (+ (* (log (/ x y)) x) z)))
96.0ms
y
@inf
((+ (* (log (/ x y)) x) (neg z)) (log (/ x y)) (/ x y) (neg z) (- (* x (log (/ x y))) z) (- (* x (- (log x) (log y))) z) (* x (- (log x) (log y))) (- (log x) (log y)) (log x) (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (pow (* (log (/ x y)) x) 2) (+ (* (pow (log (/ y x)) 2) (/ (* x x) (+ (* (log (/ x y)) x) z))) (neg (/ (* z z) (+ (* (log (/ x y)) x) z)))) (pow (log (/ y x)) 2) (log (/ y x)) (/ y x) (* (log (/ x y)) x) (/ (* x x) (+ (* (log (/ x y)) x) z)) (/ (* z z) (+ (* (log (/ x y)) x) z)))
74.0ms
x
@0
((+ (* (log (/ x y)) x) (neg z)) (log (/ x y)) (/ x y) (neg z) (- (* x (log (/ x y))) z) (- (* x (- (log x) (log y))) z) (* x (- (log x) (log y))) (- (log x) (log y)) (log x) (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (pow (* (log (/ x y)) x) 2) (+ (* (pow (log (/ y x)) 2) (/ (* x x) (+ (* (log (/ x y)) x) z))) (neg (/ (* z z) (+ (* (log (/ x y)) x) z)))) (pow (log (/ y x)) 2) (log (/ y x)) (/ y x) (* (log (/ x y)) x) (/ (* x x) (+ (* (log (/ x y)) x) z)) (/ (* z z) (+ (* (log (/ x y)) x) z)))
69.0ms
y
@0
((+ (* (log (/ x y)) x) (neg z)) (log (/ x y)) (/ x y) (neg z) (- (* x (log (/ x y))) z) (- (* x (- (log x) (log y))) z) (* x (- (log x) (log y))) (- (log x) (log y)) (log x) (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (pow (* (log (/ x y)) x) 2) (+ (* (pow (log (/ y x)) 2) (/ (* x x) (+ (* (log (/ x y)) x) z))) (neg (/ (* z z) (+ (* (log (/ x y)) x) z)))) (pow (log (/ y x)) 2) (log (/ y x)) (/ y x) (* (log (/ x y)) x) (/ (* x x) (+ (* (log (/ x y)) x) z)) (/ (* z z) (+ (* (log (/ x y)) x) z)))

simplify213.0ms (2%)

Memory
0.1MiB live, 277.3MiB allocated
Algorithm
egg-herbie
Rules
7 838×lower-fma.f64
7 838×lower-fma.f32
6 478×lower-*.f64
6 478×lower-*.f32
2 330×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05617328
116886955
260226861
086166731
Stop Event
iter limit
node limit
Counts
528 → 525
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)
(* -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))))
(* x (- (log x) (log y)))
(+ (* -1 z) (* x (- (log x) (log y))))
(+ (* -1 z) (* x (- (log x) (log y))))
(+ (* -1 z) (* x (- (log x) (log y))))
(* x (log (/ x y)))
(+ (* -1 z) (* x (log (/ x y))))
(+ (* -1 z) (* x (log (/ x y))))
(+ (* -1 z) (* x (log (/ x y))))
(* (pow x 2) (pow (log (/ x y)) 2))
(+ (* -1 (pow z 2)) (* (pow x 2) (pow (log (/ x y)) 2)))
(+ (* -1 (pow z 2)) (* (pow x 2) (pow (log (/ x y)) 2)))
(+ (* -1 (pow z 2)) (* (pow x 2) (pow (log (/ x y)) 2)))
(/ (* 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))))
(/ x (log (/ x y)))
(+ (* -1 (/ z (pow (log (/ x y)) 2))) (/ x (log (/ x y))))
(+ (* z (- (/ z (* x (pow (log (/ x y)) 3))) (/ 1 (pow (log (/ x y)) 2)))) (/ x (log (/ x y))))
(+ (* z (- (* z (+ (* -1 (/ z (* (pow x 2) (pow (log (/ x y)) 4)))) (/ 1 (* x (pow (log (/ x y)) 3))))) (/ 1 (pow (log (/ x y)) 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)
(* -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 (- (/ (* x (- (log x) (log y))) z) 1))
(* z (- (/ (* x (- (log x) (log y))) z) 1))
(* z (- (/ (* x (- (log x) (log 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 (pow z 2))
(* (pow z 2) (- (/ (* (pow x 2) (pow (log (/ x y)) 2)) (pow z 2)) 1))
(* (pow z 2) (- (/ (* (pow x 2) (pow (log (/ x y)) 2)) (pow z 2)) 1))
(* (pow z 2) (- (/ (* (pow x 2) (pow (log (/ x y)) 2)) (pow z 2)) 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 x 2) z)
(/ (+ (* -1 (/ (* (pow x 3) (log (/ x y))) z)) (pow x 2)) z)
(/ (- (+ (/ (* (pow x 4) (pow (log (/ x y)) 2)) (pow z 2)) (pow x 2)) (/ (* (pow x 3) (log (/ x y))) z)) z)
(/ (- (+ (* -1 (/ (* (pow x 5) (pow (log (/ x y)) 3)) (pow z 3))) (pow x 2)) (+ (* -1 (/ (* (pow x 4) (pow (log (/ x y)) 2)) (pow z 2))) (/ (* (pow x 3) (log (/ x y))) 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 z)
(* -1 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) (log y))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (* x (- (log x) (log y))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (* x (- (log x) (log 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 (pow z 2))
(* (pow z 2) (- (/ (* (pow x 2) (pow (log (/ x y)) 2)) (pow z 2)) 1))
(* (pow z 2) (- (/ (* (pow x 2) (pow (log (/ x y)) 2)) (pow z 2)) 1))
(* (pow z 2) (- (/ (* (pow x 2) (pow (log (/ x y)) 2)) (pow z 2)) 1))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ (* x (log (/ x y))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow x 2) (pow (log (/ y x)) 2))) (* (pow x 2) (pow (log (/ x y)) 2))) z)) (* x (log (/ x y)))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow x 2) (pow (log (/ y x)) 2))) (+ (* -1 (/ (- (* (pow x 3) (pow (log (/ x y)) 3)) (* (pow x 3) (* (log (/ x y)) (pow (log (/ y x)) 2)))) z)) (* (pow x 2) (pow (log (/ x y)) 2)))) z)) (* x (log (/ x y)))) z)))))
(/ (pow x 2) z)
(* -1 (/ (+ (* -1 (pow x 2)) (/ (* (pow x 3) (log (/ x y))) z)) z))
(* -1 (/ (+ (* -1 (/ (- (/ (* (pow x 4) (pow (log (/ x y)) 2)) z) (* (pow x 3) (log (/ x y)))) z)) (* -1 (pow x 2))) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 5) (pow (log (/ x y)) 3)) z) (* (pow x 4) (pow (log (/ x y)) 2))) z)) (* (pow x 3) (log (/ x y)))) z)) (* -1 (pow x 2))) z))
z
(* -1 (* z (- (/ (* x (log (/ x y))) z) 1)))
(* -1 (* z (- (* -1 (/ (- (/ (* (pow x 2) (pow (log (/ x y)) 2)) z) (* x (log (/ x y)))) z)) 1)))
(* -1 (* z (- (* -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)))
(- (* 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)
(+ (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) (* -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) (log y))) z)
(- (* x (- (log x) (log y))) z)
(- (* x (- (log x) (log y))) z)
(- (* x (- (log x) (log y))) z)
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(- (log x) (log y))
(- (log x) (log y))
(- (log x) (log y))
(- (log x) (log y))
(/ (+ (* -1 (pow z 2)) (* (pow x 2) (pow (+ (log x) (* -1 (log y))) 2))) (+ z (* x (+ (log x) (* -1 (log y))))))
(/ (+ (* -1 (pow z 2)) (* (pow x 2) (pow (+ (log x) (* -1 (log y))) 2))) (+ z (* x (+ (log x) (* -1 (log y))))))
(/ (+ (* -1 (pow z 2)) (* (pow x 2) (pow (+ (log x) (* -1 (log y))) 2))) (+ z (* x (+ (log x) (* -1 (log y))))))
(/ (+ (* -1 (pow z 2)) (* (pow x 2) (pow (+ (log x) (* -1 (log y))) 2))) (+ z (* x (+ (log x) (* -1 (log y))))))
(+ (* -1 (pow z 2)) (* (pow x 2) (pow (+ (log x) (* -1 (log y))) 2)))
(+ (* -1 (pow z 2)) (* (pow x 2) (pow (+ (log x) (* -1 (log y))) 2)))
(+ (* -1 (pow z 2)) (* (pow x 2) (pow (+ (log x) (* -1 (log y))) 2)))
(+ (* -1 (pow z 2)) (* (pow x 2) (pow (+ (log x) (* -1 (log y))) 2)))
(* (pow x 2) (pow (+ (log x) (* -1 (log y))) 2))
(* (pow x 2) (pow (+ (log x) (* -1 (log y))) 2))
(* (pow x 2) (pow (+ (log x) (* -1 (log y))) 2))
(* (pow x 2) (pow (+ (log x) (* -1 (log y))) 2))
(- (/ (* (pow x 2) (pow (+ (log y) (log (/ 1 x))) 2)) (+ z (* x (+ (log x) (* -1 (log y)))))) (/ (pow z 2) (+ z (* x (+ (log x) (* -1 (log y)))))))
(- (/ (* (pow x 2) (pow (+ (log y) (log (/ 1 x))) 2)) (+ z (* x (+ (log x) (* -1 (log y)))))) (/ (pow z 2) (+ z (* x (+ (log x) (* -1 (log y)))))))
(- (/ (* (pow x 2) (pow (+ (log y) (log (/ 1 x))) 2)) (+ z (* x (+ (log x) (* -1 (log y)))))) (/ (pow z 2) (+ z (* x (+ (log x) (* -1 (log y)))))))
(- (/ (* (pow x 2) (pow (+ (log y) (log (/ 1 x))) 2)) (+ z (* x (+ (log x) (* -1 (log y)))))) (/ (pow z 2) (+ z (* x (+ (log x) (* -1 (log y)))))))
(pow (+ (log y) (log (/ 1 x))) 2)
(pow (+ (log y) (log (/ 1 x))) 2)
(pow (+ (log y) (log (/ 1 x))) 2)
(pow (+ (log y) (log (/ 1 x))) 2)
(+ (log y) (log (/ 1 x)))
(+ (log y) (log (/ 1 x)))
(+ (log y) (log (/ 1 x)))
(+ (log y) (log (/ 1 x)))
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(* x (+ (log x) (* -1 (log y))))
(* x (+ (log x) (* -1 (log y))))
(* x (+ (log x) (* -1 (log y))))
(* x (+ (log x) (* -1 (log y))))
(/ (pow x 2) (+ z (* x (+ (log x) (* -1 (log y))))))
(/ (pow x 2) (+ z (* x (+ (log x) (* -1 (log y))))))
(/ (pow x 2) (+ z (* x (+ (log x) (* -1 (log y))))))
(/ (pow x 2) (+ z (* x (+ (log x) (* -1 (log y))))))
(/ (pow z 2) (+ z (* x (+ (log x) (* -1 (log y))))))
(/ (pow z 2) (+ z (* x (+ (log x) (* -1 (log y))))))
(/ (pow z 2) (+ z (* x (+ (log x) (* -1 (log y))))))
(/ (pow z 2) (+ z (* x (+ (log x) (* -1 (log 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)
(+ (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 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) (* -1 (log (/ 1 y))))) z)
(- (* x (- (log x) (* -1 (log (/ 1 y))))) z)
(- (* x (- (log x) (* -1 (log (/ 1 y))))) z)
(- (* x (- (log x) (* -1 (log (/ 1 y))))) z)
(* x (- (log x) (* -1 (log (/ 1 y)))))
(* x (- (log x) (* -1 (log (/ 1 y)))))
(* x (- (log x) (* -1 (log (/ 1 y)))))
(* x (- (log x) (* -1 (log (/ 1 y)))))
(- (log x) (* -1 (log (/ 1 y))))
(- (log x) (* -1 (log (/ 1 y))))
(- (log x) (* -1 (log (/ 1 y))))
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(* -1 (* x (+ (* -1 (/ (- (+ (* -1 (/ (pow z 2) (* x (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))))) (/ (* (pow z 2) (pow (+ (log (* -1 y)) (log (/ -1 x))) 2)) (* x (pow (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) 3)))) (/ (* z (pow (+ (log (* -1 y)) (log (/ -1 x))) 2)) (pow (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) 2))) x)) (* -1 (/ (pow (+ (log (* -1 y)) (log (/ -1 x))) 2) (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))))))))
(* -1 (* x (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow z 3) (pow (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) 2)) (/ (* (pow z 3) (pow (+ (log (* -1 y)) (log (/ -1 x))) 2)) (pow (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) 4))) x)) (+ (* -1 (/ (pow z 2) (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))))) (/ (* (pow z 2) (pow (+ (log (* -1 y)) (log (/ -1 x))) 2)) (pow (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) 3)))) x)) (/ (* z (pow (+ (log (* -1 y)) (log (/ -1 x))) 2)) (pow (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) 2))) x)) (* -1 (/ (pow (+ (log (* -1 y)) (log (/ -1 x))) 2) (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))))))))
(pow (+ (log (* -1 y)) (log (/ -1 x))) 2)
(pow (+ (log (* -1 y)) (log (/ -1 x))) 2)
(pow (+ (log (* -1 y)) (log (/ -1 x))) 2)
(pow (+ (log (* -1 y)) (log (/ -1 x))) 2)
(+ (log (* -1 y)) (log (/ -1 x)))
(+ (log (* -1 y)) (log (/ -1 x)))
(+ (log (* -1 y)) (log (/ -1 x)))
(+ (log (* -1 y)) (log (/ -1 x)))
(/ y x)
(/ y x)
(/ y x)
(/ y 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)))))
(/ x (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))))
(* -1 (* x (- (/ z (* x (pow (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) 2))) (/ 1 (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))))))
(* -1 (* x (- (* -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))))))))
(* -1 (* x (- (* -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))))))))
(/ (pow z 2) (* x (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))))
(* -1 (/ (+ (* -1 (/ (pow z 2) (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))))) (/ (pow z 3) (* x (pow (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) 2)))) x))
(* -1 (/ (+ (* -1 (/ (- (/ (pow z 4) (* x (pow (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) 3))) (/ (pow z 3) (pow (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) 2))) x)) (* -1 (/ (pow z 2) (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))))) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow z 5) (* x (pow (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) 4))) (/ (pow z 4) (pow (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) 3))) x)) (/ (pow z 3) (pow (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) 2))) x)) (* -1 (/ (pow z 2) (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))))) x))
Outputs
(* x (log (/ x y)))
(*.f64 (log.f64 (/.f64 x y)) x)
(+ (* -1 z) (* x (log (/ x y))))
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z
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(*.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) x)
(* x (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))))
(*.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) x)
(* x (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))))
(*.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) x)
(/ x (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))))
(/.f64 x (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(* -1 (* x (- (/ z (* x (pow (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) 2))) (/ 1 (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))))))
(*.f64 (-.f64 (/.f64 (/.f64 z x) (pow.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) (neg.f64 x))
(* -1 (* x (- (* -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))))))))
(*.f64 (+.f64 (/.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 3 binary64))) (/.f64 z x) (/.f64 (neg.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)))) x) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) x)
(* -1 (* x (- (* -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))))))))
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 z) (/.f64 z (pow.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64))) (/.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) x) (pow.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 4 binary64)))) x) (/.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)))) x) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) (neg.f64 x))
(/ (pow z 2) (* x (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))))
(/.f64 (*.f64 z (/.f64 z x)) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(* -1 (/ (+ (* -1 (/ (pow z 2) (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))))) (/ (pow z 3) (* x (pow (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) 2)))) x))
(/.f64 (fma.f64 z (/.f64 z (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (neg.f64 (/.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) x) (pow.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))))) x)
(* -1 (/ (+ (* -1 (/ (- (/ (pow z 4) (* x (pow (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) 3))) (/ (pow z 3) (pow (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) 2))) x)) (* -1 (/ (pow z 2) (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))))) x))
(/.f64 (fma.f64 z (/.f64 z (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 (-.f64 (/.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) x) (pow.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)))) x)) x)
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow z 5) (* x (pow (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) 4))) (/ (pow z 4) (pow (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) 3))) x)) (/ (pow z 3) (pow (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) 2))) x)) (* -1 (/ (pow z 2) (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))))) x))
(/.f64 (fma.f64 z (/.f64 z (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 (-.f64 (/.f64 (neg.f64 (pow.f64 z #s(literal 3 binary64))) (pow.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (/.f64 (pow.f64 z #s(literal 5 binary64)) x) (pow.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 4 binary64))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64)))) x)) x)) x)

rewrite208.0ms (2%)

Memory
13.7MiB live, 286.0MiB allocated
Rules
5 932×lower-fma.f32
5 924×lower-fma.f64
4 436×lower-/.f32
4 426×lower-/.f64
4 158×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032162
057125
1218125
21373125
08712125
Stop Event
iter limit
node limit
iter limit
Counts
19 → 2 091
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)
#s(approx (- (* x (log (/ x y))) z) (neg.f64 z))
(-.f64 (*.f64 x (-.f64 (log.f64 x) (log.f64 y))) z)
(*.f64 x (-.f64 (log.f64 x) (log.f64 y)))
(-.f64 (log.f64 x) (log.f64 y))
(log.f64 x)
(/.f64 (fma.f64 (neg.f64 z) z (pow.f64 (*.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64))) (fma.f64 (log.f64 (/.f64 x y)) x z))
(fma.f64 (neg.f64 z) z (pow.f64 (*.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64)))
(pow.f64 (*.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64))
(fma.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) (/.f64 (*.f64 x 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))))
(pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64))
(log.f64 (/.f64 y x))
(/.f64 y x)
(*.f64 (log.f64 (/.f64 x y)) x)
(/.f64 (*.f64 x x) (fma.f64 (log.f64 (/.f64 x y)) x z))
(/.f64 (*.f64 z z) (fma.f64 (log.f64 (/.f64 x y)) x z))
Outputs
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eval493.0ms (4.7%)

Memory
28.8MiB live, 680.4MiB allocated
Compiler

Compiled 128 889 to 4 181 computations (96.8% saved)

prune157.0ms (1.5%)

Memory
-15.9MiB live, 205.0MiB allocated
Pruning

21 alts after pruning (17 fresh and 4 done)

PrunedKeptTotal
New3 161113 172
Fresh8614
Picked235
Done011
Total3 171213 192
Accuracy
100.0%
Counts
3 192 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
62.0%
(fma.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) (*.f64 (/.f64 x (fma.f64 (log.f64 (/.f64 x y)) x z)) x) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 (log.f64 (/.f64 x y)) x z))))
39.7%
(fma.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 (neg.f64 z))
53.2%
(fma.f64 (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y))) x (neg.f64 z))
79.6%
(fma.f64 (neg.f64 (log.f64 (/.f64 y x))) x (neg.f64 z))
79.7%
(fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z))
34.6%
(/.f64 #s(approx (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (*.f64 (fma.f64 (pow.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64)) (/.f64 (*.f64 x x) (*.f64 z z)) #s(literal -1 binary64)) (*.f64 z z))) (fma.f64 (log.f64 (/.f64 x y)) x z))
26.8%
(/.f64 #s(approx (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (*.f64 (pow.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64)) (*.f64 x x))) (fma.f64 (log.f64 (/.f64 x y)) x z))
79.6%
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) #s(literal -1 binary64)))
46.2%
(-.f64 (fma.f64 (log.f64 x) x (*.f64 (neg.f64 (log.f64 y)) x)) z)
53.2%
(-.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)
53.1%
(-.f64 (*.f64 x (-.f64 (/.f64 (pow.f64 (log.f64 (neg.f64 x)) #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)))))) (/.f64 (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)
46.2%
(-.f64 (*.f64 x (-.f64 (log.f64 x) (log.f64 y))) z)
79.7%
(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
48.3%
(*.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)))
77.8%
(*.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))))
69.8%
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (fma.f64 (log.f64 (/.f64 x y)) (/.f64 x z) #s(literal -1 binary64)) z))
25.6%
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (-.f64 (log.f64 x) (log.f64 y)) x))
44.6%
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (log.f64 (/.f64 x y)) x))
17.8%
#s(approx (- (* x (log (/ x y))) z) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z)))))
29.3%
#s(approx (- (* x (log (/ x y))) z) (/.f64 (*.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z)))
48.0%
#s(approx (- (* x (log (/ x y))) z) (neg.f64 z))
Compiler

Compiled 682 to 445 computations (34.8% saved)

simplify170.0ms (1.6%)

Memory
0.5MiB live, 233.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 y x)
cost-diff0
(log.f64 (/.f64 y x))
cost-diff0
(pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64))
cost-diff0
(fma.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) (*.f64 (/.f64 x (fma.f64 (log.f64 (/.f64 x y)) x z)) x) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 (log.f64 (/.f64 x y)) x z))))
cost-diff0
(pow.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64))
cost-diff0
#s(approx (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (*.f64 (pow.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64)) (*.f64 x x)))
cost-diff0
(/.f64 #s(approx (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (*.f64 (pow.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64)) (*.f64 x x))) (fma.f64 (log.f64 (/.f64 x y)) x z))
cost-diff320
(*.f64 (pow.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64)) (*.f64 x x))
cost-diff0
(log.f64 (/.f64 x y))
cost-diff0
(fma.f64 (log.f64 (/.f64 x y)) (/.f64 x z) #s(literal -1 binary64))
cost-diff0
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (fma.f64 (log.f64 (/.f64 x y)) (/.f64 x z) #s(literal -1 binary64)) z))
cost-diff896
(*.f64 (fma.f64 (log.f64 (/.f64 x y)) (/.f64 x z) #s(literal -1 binary64)) 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
(log.f64 (/.f64 x y))
cost-diff0
(fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z))
cost-diff0
(pow.f64 (fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) #s(literal -1 binary64))
cost-diff7168
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) #s(literal -1 binary64)))
Rules
7 520×lower-fma.f32
7 512×lower-fma.f64
4 124×lower-*.f32
4 112×lower-*.f64
2 336×lower-/.f32
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
047347
078342
1119319
2239317
3500314
41202314
53410302
66799302
08166302
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) #s(literal -1 binary64)))
#s(literal 1 binary64)
(pow.f64 (fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) #s(literal -1 binary64))
(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(literal -1 binary64)
#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 (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (fma.f64 (log.f64 (/.f64 x y)) (/.f64 x z) #s(literal -1 binary64)) z))
(*.f64 (fma.f64 (log.f64 (/.f64 x y)) (/.f64 x z) #s(literal -1 binary64)) z)
(fma.f64 (log.f64 (/.f64 x y)) (/.f64 x z) #s(literal -1 binary64))
(log.f64 (/.f64 x y))
(/.f64 x y)
x
y
(/.f64 x z)
z
#s(literal -1 binary64)
(/.f64 #s(approx (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (*.f64 (pow.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64)) (*.f64 x x))) (fma.f64 (log.f64 (/.f64 x y)) x z))
#s(approx (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (*.f64 (pow.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64)) (*.f64 x x)))
(*.f64 (pow.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64)) (*.f64 x x))
(pow.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64))
(log.f64 (/.f64 x y))
(/.f64 x y)
x
y
#s(literal 2 binary64)
(*.f64 x x)
(fma.f64 (log.f64 (/.f64 x y)) x z)
z
(fma.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) (*.f64 (/.f64 x (fma.f64 (log.f64 (/.f64 x y)) x z)) x) (neg.f64 (/.f64 (*.f64 z z) (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)
(*.f64 (/.f64 x (fma.f64 (log.f64 (/.f64 x y)) x z)) x)
(/.f64 x (fma.f64 (log.f64 (/.f64 x y)) x z))
(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 #s(literal 1 binary64) (pow.f64 (fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) #s(literal -1 binary64)))
(fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z))
#s(literal 1 binary64)
(pow.f64 (fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) #s(literal -1 binary64))
(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(literal -1 binary64)
#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 (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (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) (fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)))
(*.f64 (fma.f64 (log.f64 (/.f64 x y)) (/.f64 x z) #s(literal -1 binary64)) z)
(fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z))
(fma.f64 (log.f64 (/.f64 x y)) (/.f64 x z) #s(literal -1 binary64))
(fma.f64 (/.f64 x z) (log.f64 (/.f64 x y)) #s(literal -1 binary64))
(log.f64 (/.f64 x y))
(/.f64 x y)
x
y
(/.f64 x z)
z
#s(literal -1 binary64)
(/.f64 #s(approx (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (*.f64 (pow.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64)) (*.f64 x x))) (fma.f64 (log.f64 (/.f64 x y)) x z))
(/.f64 #s(approx (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (pow.f64 (*.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64))) (fma.f64 (log.f64 (/.f64 x y)) x z))
#s(approx (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (*.f64 (pow.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64)) (*.f64 x x)))
#s(approx (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (pow.f64 (*.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64)) (*.f64 x x))
(pow.f64 (*.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64))
(pow.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64))
(log.f64 (/.f64 x y))
(/.f64 x y)
x
y
#s(literal 2 binary64)
(*.f64 x x)
(fma.f64 (log.f64 (/.f64 x y)) x z)
z
(fma.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) (*.f64 (/.f64 x (fma.f64 (log.f64 (/.f64 x y)) x z)) x) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 (log.f64 (/.f64 x y)) x z))))
(fma.f64 (/.f64 (neg.f64 z) (fma.f64 (log.f64 (/.f64 x y)) x z)) z (*.f64 (*.f64 (/.f64 x (fma.f64 (log.f64 (/.f64 x y)) x z)) x) (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64))))
(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)
(*.f64 (/.f64 x (fma.f64 (log.f64 (/.f64 x y)) x z)) x)
(/.f64 x (fma.f64 (log.f64 (/.f64 x y)) x z))
(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)

localize203.0ms (1.9%)

Memory
7.0MiB live, 198.6MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.6209763056000075
(/.f64 x (fma.f64 (log.f64 (/.f64 x y)) x z))
accuracy13.527339401004301
(log.f64 (/.f64 x y))
accuracy13.542012559762533
(log.f64 (/.f64 y x))
accuracy16.35463996801568
(/.f64 (*.f64 z z) (fma.f64 (log.f64 (/.f64 x y)) x z))
accuracy0.518573779305326
(pow.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64))
accuracy13.527339401004301
(log.f64 (/.f64 x y))
accuracy27.284224155682054
(/.f64 #s(approx (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (*.f64 (pow.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64)) (*.f64 x x))) (fma.f64 (log.f64 (/.f64 x y)) x z))
accuracy27.864021093194346
#s(approx (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (*.f64 (pow.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64)) (*.f64 x x)))
accuracy0
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (fma.f64 (log.f64 (/.f64 x y)) (/.f64 x z) #s(literal -1 binary64)) z))
accuracy0.12890625
(fma.f64 (log.f64 (/.f64 x y)) (/.f64 x z) #s(literal -1 binary64))
accuracy9.163813478852292
(*.f64 (fma.f64 (log.f64 (/.f64 x y)) (/.f64 x z) #s(literal -1 binary64)) z)
accuracy13.527339401004301
(log.f64 (/.f64 x y))
accuracy0
(*.f64 (neg.f64 z) z)
accuracy0
(neg.f64 z)
accuracy27.618518199486154
(/.f64 (*.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z))
accuracy33.27042214668896
#s(approx (- (* x (log (/ x y))) z) (/.f64 (*.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z)))
accuracy0.171875
(fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z))
accuracy0.22265625
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) #s(literal -1 binary64)))
accuracy0.47857457589483576
(pow.f64 (fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) #s(literal -1 binary64))
accuracy13.527339401004301
(log.f64 (/.f64 x y))
Samples
172.0ms256×0valid
Compiler

Compiled 322 to 42 computations (87% saved)

Precisions
Click to see histograms. Total time spent on operations: 132.0ms
ival-pow2: 42.0ms (31.7% of total)
ival-pow: 25.0ms (18.9% of total)
ival-neg: 23.0ms (17.4% of total)
ival-mult: 15.0ms (11.3% of total)
ival-div: 13.0ms (9.8% of total)
ival-add: 7.0ms (5.3% of total)
ival-log: 7.0ms (5.3% of total)
ival-sub: 1.0ms (0.8% of total)
exact: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series520.0ms (5%)

Memory
-17.2MiB live, 342.1MiB allocated
Counts
22 → 624
Calls
Call 1
Inputs
#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 (fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) #s(literal -1 binary64)) #<representation binary64>) () ())
#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 (*.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 (*.f64 (fma.f64 (log.f64 (/.f64 x y)) (/.f64 x z) #s(literal -1 binary64)) z) (patch (*.f64 (fma.f64 (log.f64 (/.f64 x y)) (/.f64 x z) #s(literal -1 binary64)) z) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (fma.f64 (log.f64 (/.f64 x y)) (/.f64 x z) #s(literal -1 binary64)) z)) (patch #s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (fma.f64 (log.f64 (/.f64 x y)) (/.f64 x z) #s(literal -1 binary64)) z)) #<representation binary64>) () ())
#s(alt (fma.f64 (log.f64 (/.f64 x y)) (/.f64 x z) #s(literal -1 binary64)) (patch (fma.f64 (log.f64 (/.f64 x y)) (/.f64 x z) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (pow.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64)) (*.f64 x x)) (patch (*.f64 (pow.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64)) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (*.f64 (pow.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64)) (*.f64 x x))) (fma.f64 (log.f64 (/.f64 x y)) x z)) (patch (/.f64 #s(approx (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (*.f64 (pow.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64)) (*.f64 x x))) (fma.f64 (log.f64 (/.f64 x y)) x z)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (*.f64 (pow.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64)) (*.f64 x x))) (patch #s(approx (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (*.f64 (pow.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64)) (*.f64 x x))) #<representation binary64>) () ())
#s(alt (pow.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64)) (patch (pow.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) (*.f64 (/.f64 x (fma.f64 (log.f64 (/.f64 x y)) x z)) x) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 (log.f64 (/.f64 x y)) x z)))) (patch (fma.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) (*.f64 (/.f64 x (fma.f64 (log.f64 (/.f64 x y)) x z)) x) (neg.f64 (/.f64 (*.f64 z z) (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 (/.f64 y x)) (patch (log.f64 (/.f64 y x)) #<representation binary64>) () ())
#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())
#s(alt (neg.f64 z) (patch (neg.f64 z) #<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 (/.f64 x (fma.f64 (log.f64 (/.f64 x y)) x z)) (patch (/.f64 x (fma.f64 (log.f64 (/.f64 x y)) x z)) #<representation binary64>) () ())
Outputs
#s(alt (* x (log (/ x y))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* x (log (/ x y)))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* x (log (/ x y)))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* x (log (/ x y)))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (log (/ x y)))) (taylor 0 z) (#s(alt (pow.f64 (fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (/ 1 (* x (log (/ x y)))) (/ z (* (pow x 2) (pow (log (/ x y)) 2)))) (taylor 0 z) (#s(alt (pow.f64 (fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* z (+ (/ 1 (* (pow x 2) (pow (log (/ x y)) 2))) (/ z (* (pow x 3) (pow (log (/ x y)) 3))))) (/ 1 (* x (log (/ x y))))) (taylor 0 z) (#s(alt (pow.f64 (fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* z (+ (* z (+ (/ 1 (* (pow x 3) (pow (log (/ x y)) 3))) (/ z (* (pow x 4) (pow (log (/ x y)) 4))))) (/ 1 (* (pow x 2) (pow (log (/ x y)) 2))))) (/ 1 (* x (log (/ x y))))) (taylor 0 z) (#s(alt (pow.f64 (fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#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 (/.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 (* x (log (/ x y))) (taylor 0 z) (#s(alt (*.f64 (fma.f64 (log.f64 (/.f64 x y)) (/.f64 x z) #s(literal -1 binary64)) z) (patch (*.f64 (fma.f64 (log.f64 (/.f64 x y)) (/.f64 x z) #s(literal -1 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* x (log (/ x y)))) (taylor 0 z) (#s(alt (*.f64 (fma.f64 (log.f64 (/.f64 x y)) (/.f64 x z) #s(literal -1 binary64)) z) (patch (*.f64 (fma.f64 (log.f64 (/.f64 x y)) (/.f64 x z) #s(literal -1 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* x (log (/ x y)))) (taylor 0 z) (#s(alt (*.f64 (fma.f64 (log.f64 (/.f64 x y)) (/.f64 x z) #s(literal -1 binary64)) z) (patch (*.f64 (fma.f64 (log.f64 (/.f64 x y)) (/.f64 x z) #s(literal -1 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* x (log (/ x y)))) (taylor 0 z) (#s(alt (*.f64 (fma.f64 (log.f64 (/.f64 x y)) (/.f64 x z) #s(literal -1 binary64)) z) (patch (*.f64 (fma.f64 (log.f64 (/.f64 x y)) (/.f64 x z) #s(literal -1 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* x (log (/ x y))) (taylor 0 z) (#s(alt #s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (fma.f64 (log.f64 (/.f64 x y)) (/.f64 x z) #s(literal -1 binary64)) z)) (patch #s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (fma.f64 (log.f64 (/.f64 x y)) (/.f64 x z) #s(literal -1 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* x (log (/ x y)))) (taylor 0 z) (#s(alt #s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (fma.f64 (log.f64 (/.f64 x y)) (/.f64 x z) #s(literal -1 binary64)) z)) (patch #s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (fma.f64 (log.f64 (/.f64 x y)) (/.f64 x z) #s(literal -1 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* x (log (/ x y)))) (taylor 0 z) (#s(alt #s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (fma.f64 (log.f64 (/.f64 x y)) (/.f64 x z) #s(literal -1 binary64)) z)) (patch #s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (fma.f64 (log.f64 (/.f64 x y)) (/.f64 x z) #s(literal -1 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* x (log (/ x y)))) (taylor 0 z) (#s(alt #s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (fma.f64 (log.f64 (/.f64 x y)) (/.f64 x z) #s(literal -1 binary64)) z)) (patch #s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (fma.f64 (log.f64 (/.f64 x y)) (/.f64 x z) #s(literal -1 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (log (/ x y))) z) (taylor 0 z) (#s(alt (fma.f64 (log.f64 (/.f64 x y)) (/.f64 x z) #s(literal -1 binary64)) (patch (fma.f64 (log.f64 (/.f64 x y)) (/.f64 x z) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 z) (* x (log (/ x y)))) z) (taylor 0 z) (#s(alt (fma.f64 (log.f64 (/.f64 x y)) (/.f64 x z) #s(literal -1 binary64)) (patch (fma.f64 (log.f64 (/.f64 x y)) (/.f64 x z) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 z) (* x (log (/ x y)))) z) (taylor 0 z) (#s(alt (fma.f64 (log.f64 (/.f64 x y)) (/.f64 x z) #s(literal -1 binary64)) (patch (fma.f64 (log.f64 (/.f64 x y)) (/.f64 x z) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 z) (* x (log (/ x y)))) z) (taylor 0 z) (#s(alt (fma.f64 (log.f64 (/.f64 x y)) (/.f64 x z) #s(literal -1 binary64)) (patch (fma.f64 (log.f64 (/.f64 x y)) (/.f64 x z) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (log (/ x y))) (taylor 0 z) (#s(alt (/.f64 #s(approx (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (*.f64 (pow.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64)) (*.f64 x x))) (fma.f64 (log.f64 (/.f64 x y)) x z)) (patch (/.f64 #s(approx (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (*.f64 (pow.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64)) (*.f64 x x))) (fma.f64 (log.f64 (/.f64 x y)) x z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* x (log (/ x y)))) (taylor 0 z) (#s(alt (/.f64 #s(approx (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (*.f64 (pow.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64)) (*.f64 x x))) (fma.f64 (log.f64 (/.f64 x y)) x z)) (patch (/.f64 #s(approx (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (*.f64 (pow.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64)) (*.f64 x x))) (fma.f64 (log.f64 (/.f64 x y)) x z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* x (log (/ x y)))) (taylor 0 z) (#s(alt (/.f64 #s(approx (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (*.f64 (pow.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64)) (*.f64 x x))) (fma.f64 (log.f64 (/.f64 x y)) x z)) (patch (/.f64 #s(approx (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (*.f64 (pow.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64)) (*.f64 x x))) (fma.f64 (log.f64 (/.f64 x y)) x z)) #<representation binary64>) () ())) ())
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Calls

9 calls:

TimeVariablePointExpression
165.0ms
x
@inf
((/ 1 (pow (+ (* (log (/ x y)) x) (neg z)) -1)) (pow (+ (* (log (/ x y)) x) (neg z)) -1) (+ (* (log (/ x y)) x) (neg z)) (log (/ x y)) (/ (* (neg z) z) (+ 0 z)) (+ 0 z) (- (* x (log (/ x y))) z) (* (neg z) z) (* (+ (* (log (/ x y)) (/ x z)) -1) z) (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (+ (* (log (/ x y)) (/ x z)) -1) (* (pow (log (/ x y)) 2) (* x x)) (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (pow (log (/ x y)) 2) (+ (* (pow (log (/ y x)) 2) (* (/ x (+ (* (log (/ x y)) x) z)) x)) (neg (/ (* z z) (+ (* (log (/ x y)) x) z)))) (pow (log (/ y x)) 2) (log (/ y x)) (/ y x) (neg z) (/ (* z z) (+ (* (log (/ x y)) x) z)) (/ x (+ (* (log (/ x y)) x) z)))
140.0ms
z
@inf
((/ 1 (pow (+ (* (log (/ x y)) x) (neg z)) -1)) (pow (+ (* (log (/ x y)) x) (neg z)) -1) (+ (* (log (/ x y)) x) (neg z)) (log (/ x y)) (/ (* (neg z) z) (+ 0 z)) (+ 0 z) (- (* x (log (/ x y))) z) (* (neg z) z) (* (+ (* (log (/ x y)) (/ x z)) -1) z) (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (+ (* (log (/ x y)) (/ x z)) -1) (* (pow (log (/ x y)) 2) (* x x)) (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (pow (log (/ x y)) 2) (+ (* (pow (log (/ y x)) 2) (* (/ x (+ (* (log (/ x y)) x) z)) x)) (neg (/ (* z z) (+ (* (log (/ x y)) x) z)))) (pow (log (/ y x)) 2) (log (/ y x)) (/ y x) (neg z) (/ (* z z) (+ (* (log (/ x y)) x) z)) (/ x (+ (* (log (/ x y)) x) z)))
61.0ms
y
@inf
((/ 1 (pow (+ (* (log (/ x y)) x) (neg z)) -1)) (pow (+ (* (log (/ x y)) x) (neg z)) -1) (+ (* (log (/ x y)) x) (neg z)) (log (/ x y)) (/ (* (neg z) z) (+ 0 z)) (+ 0 z) (- (* x (log (/ x y))) z) (* (neg z) z) (* (+ (* (log (/ x y)) (/ x z)) -1) z) (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (+ (* (log (/ x y)) (/ x z)) -1) (* (pow (log (/ x y)) 2) (* x x)) (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (pow (log (/ x y)) 2) (+ (* (pow (log (/ y x)) 2) (* (/ x (+ (* (log (/ x y)) x) z)) x)) (neg (/ (* z z) (+ (* (log (/ x y)) x) z)))) (pow (log (/ y x)) 2) (log (/ y x)) (/ y x) (neg z) (/ (* z z) (+ (* (log (/ x y)) x) z)) (/ x (+ (* (log (/ x y)) x) z)))
40.0ms
x
@-inf
((/ 1 (pow (+ (* (log (/ x y)) x) (neg z)) -1)) (pow (+ (* (log (/ x y)) x) (neg z)) -1) (+ (* (log (/ x y)) x) (neg z)) (log (/ x y)) (/ (* (neg z) z) (+ 0 z)) (+ 0 z) (- (* x (log (/ x y))) z) (* (neg z) z) (* (+ (* (log (/ x y)) (/ x z)) -1) z) (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (+ (* (log (/ x y)) (/ x z)) -1) (* (pow (log (/ x y)) 2) (* x x)) (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (pow (log (/ x y)) 2) (+ (* (pow (log (/ y x)) 2) (* (/ x (+ (* (log (/ x y)) x) z)) x)) (neg (/ (* z z) (+ (* (log (/ x y)) x) z)))) (pow (log (/ y x)) 2) (log (/ y x)) (/ y x) (neg z) (/ (* z z) (+ (* (log (/ x y)) x) z)) (/ x (+ (* (log (/ x y)) x) z)))
36.0ms
y
@0
((/ 1 (pow (+ (* (log (/ x y)) x) (neg z)) -1)) (pow (+ (* (log (/ x y)) x) (neg z)) -1) (+ (* (log (/ x y)) x) (neg z)) (log (/ x y)) (/ (* (neg z) z) (+ 0 z)) (+ 0 z) (- (* x (log (/ x y))) z) (* (neg z) z) (* (+ (* (log (/ x y)) (/ x z)) -1) z) (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (+ (* (log (/ x y)) (/ x z)) -1) (* (pow (log (/ x y)) 2) (* x x)) (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (pow (log (/ x y)) 2) (+ (* (pow (log (/ y x)) 2) (* (/ x (+ (* (log (/ x y)) x) z)) x)) (neg (/ (* z z) (+ (* (log (/ x y)) x) z)))) (pow (log (/ y x)) 2) (log (/ y x)) (/ y x) (neg z) (/ (* z z) (+ (* (log (/ x y)) x) z)) (/ x (+ (* (log (/ x y)) x) z)))

simplify237.0ms (2.3%)

Memory
24.6MiB live, 213.3MiB allocated
Algorithm
egg-herbie
Rules
5 910×lower-fma.f64
5 910×lower-fma.f32
4 926×lower-*.f64
4 926×lower-*.f32
2 872×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06399535
119808757
268308614
081578446
Stop Event
iter limit
node limit
Counts
624 → 609
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 (* x (log (/ x y))))
(+ (/ 1 (* x (log (/ x y)))) (/ z (* (pow x 2) (pow (log (/ x y)) 2))))
(+ (* z (+ (/ 1 (* (pow x 2) (pow (log (/ x y)) 2))) (/ z (* (pow x 3) (pow (log (/ x y)) 3))))) (/ 1 (* x (log (/ x y)))))
(+ (* z (+ (* z (+ (/ 1 (* (pow x 3) (pow (log (/ x y)) 3))) (/ z (* (pow x 4) (pow (log (/ x y)) 4))))) (/ 1 (* (pow x 2) (pow (log (/ x y)) 2))))) (/ 1 (* 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)
z
z
z
z
(* x (log (/ x y)))
(+ (* -1 z) (* x (log (/ x y))))
(+ (* -1 z) (* x (log (/ x y))))
(+ (* -1 z) (* x (log (/ x y))))
(* -1 (pow z 2))
(* -1 (pow z 2))
(* -1 (pow z 2))
(* -1 (pow z 2))
(* 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))))
(/ (* x (log (/ x y))) z)
(/ (+ (* -1 z) (* x (log (/ x y)))) z)
(/ (+ (* -1 z) (* x (log (/ x y)))) z)
(/ (+ (* -1 z) (* x (log (/ x y)))) z)
(* x (log (/ x y)))
(+ (* -1 z) (* x (log (/ x y))))
(+ (* -1 z) (* x (log (/ x y))))
(+ (* -1 z) (* x (log (/ x y))))
(* (pow x 2) (pow (log (/ x y)) 2))
(+ (* -1 (pow z 2)) (* (pow x 2) (pow (log (/ x y)) 2)))
(+ (* -1 (pow z 2)) (* (pow x 2) (pow (log (/ x y)) 2)))
(+ (* -1 (pow z 2)) (* (pow x 2) (pow (log (/ x y)) 2)))
(/ (* 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))))
(* -1 z)
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(/ (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 (log (/ x y)))
(+ (* -1 (/ z (* x (pow (log (/ x y)) 2)))) (/ 1 (log (/ x y))))
(+ (* z (- (/ z (* (pow x 2) (pow (log (/ x y)) 3))) (/ 1 (* x (pow (log (/ x y)) 2))))) (/ 1 (log (/ x y))))
(+ (* z (- (* z (+ (* -1 (/ z (* (pow x 3) (pow (log (/ x y)) 4)))) (/ 1 (* (pow x 2) (pow (log (/ x y)) 3))))) (/ 1 (* x (pow (log (/ x y)) 2))))) (/ 1 (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 (/ (* x (log (/ x y))) z)) 1) z)
(/ (- (* -1 (/ (* (pow x 2) (pow (log (/ x y)) 2)) (pow z 2))) (+ 1 (/ (* x (log (/ x y))) z))) z)
(/ (- (* -1 (/ (* (pow x 3) (pow (log (/ x y)) 3)) (pow z 3))) (+ 1 (+ (/ (* x (log (/ x y))) z) (/ (* (pow x 2) (pow (log (/ x y)) 2)) (pow z 2))))) 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)
(* -1 z)
(* -1 z)
(* -1 z)
z
z
z
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 (pow z 2))
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(* -1 (pow z 2))
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(* -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
(- (/ (* x (log (/ x y))) z) 1)
(- (/ (* x (log (/ x y))) z) 1)
(- (/ (* 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 (pow z 2))
(* (pow z 2) (- (/ (* (pow x 2) (pow (log (/ x y)) 2)) (pow z 2)) 1))
(* (pow z 2) (- (/ (* (pow x 2) (pow (log (/ x y)) 2)) (pow z 2)) 1))
(* (pow z 2) (- (/ (* (pow x 2) (pow (log (/ x y)) 2)) (pow z 2)) 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)))))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
z
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(* -1 (/ (+ (* -1 (/ (- (/ (pow z 4) (* x (pow (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) 3))) (/ (pow z 3) (pow (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) 2))) x)) (* -1 (/ (pow z 2) (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))))) x))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 z (/.f64 z (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 (-.f64 (/.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) x) (pow.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)))) x))) x)
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow z 5) (* x (pow (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) 4))) (/ (pow z 4) (pow (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) 3))) x)) (/ (pow z 3) (pow (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) 2))) x)) (* -1 (/ (pow z 2) (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))))) x))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 z (/.f64 z (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 (-.f64 (/.f64 (neg.f64 (pow.f64 z #s(literal 3 binary64))) (pow.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (/.f64 (pow.f64 z #s(literal 5 binary64)) x) (pow.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 4 binary64))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64)))) x)) x))) x)
(/ 1 (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))))
(/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(+ (* -1 (/ z (* x (pow (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) 2)))) (/ 1 (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 (/.f64 z x) (pow.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))))
(+ (* -1 (/ (- (* -1 (/ (pow z 2) (* x (pow (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) 3)))) (* -1 (/ z (pow (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) 2)))) x)) (/ 1 (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 (-.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 (*.f64 z (/.f64 z x)) (pow.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64)))) x))
(+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow z 3) (* x (pow (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) 4)))) (* -1 (/ (pow z 2) (pow (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) 3)))) x)) (* -1 (/ z (pow (+ (log (/ -1 y)) (* -1 (log (/ -1 x)))) 2)))) x)) (/ 1 (+ (log (/ -1 y)) (* -1 (log (/ -1 x))))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 (-.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 (fma.f64 z (/.f64 z (pow.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64))) (/.f64 (/.f64 (neg.f64 (pow.f64 z #s(literal 3 binary64))) x) (pow.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 4 binary64)))) x)) x))

rewrite279.0ms (2.7%)

Memory
-20.0MiB live, 270.8MiB allocated
Rules
3 992×lower-fma.f32
3 986×lower-fma.f64
3 332×lower-/.f32
3 316×lower-/.f64
2 678×lower-*.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
047256
078233
1284196
21933179
09636179
Stop Event
iter limit
node limit
iter limit
Counts
22 → 1 359
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) #s(literal -1 binary64)))
(pow.f64 (fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) #s(literal -1 binary64))
(fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z))
(log.f64 (/.f64 x y))
(/.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)
(*.f64 (fma.f64 (log.f64 (/.f64 x y)) (/.f64 x z) #s(literal -1 binary64)) z)
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (fma.f64 (log.f64 (/.f64 x y)) (/.f64 x z) #s(literal -1 binary64)) z))
(fma.f64 (log.f64 (/.f64 x y)) (/.f64 x z) #s(literal -1 binary64))
(*.f64 (pow.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64)) (*.f64 x x))
(/.f64 #s(approx (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (*.f64 (pow.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64)) (*.f64 x x))) (fma.f64 (log.f64 (/.f64 x y)) x z))
#s(approx (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (*.f64 (pow.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64)) (*.f64 x x)))
(pow.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64))
(fma.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) (*.f64 (/.f64 x (fma.f64 (log.f64 (/.f64 x y)) x z)) x) (neg.f64 (/.f64 (*.f64 z z) (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)
(neg.f64 z)
(/.f64 (*.f64 z z) (fma.f64 (log.f64 (/.f64 x y)) x z))
(/.f64 x (fma.f64 (log.f64 (/.f64 x y)) x z))
Outputs
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eval523.0ms (5%)

Memory
8.2MiB live, 646.0MiB allocated
Compiler

Compiled 67 523 to 4 979 computations (92.6% saved)

prune186.0ms (1.8%)

Memory
18.2MiB live, 215.4MiB allocated
Pruning

31 alts after pruning (27 fresh and 4 done)

PrunedKeptTotal
New2 392202 412
Fresh5712
Picked505
Done044
Total2 402312 433
Accuracy
100.0%
Counts
2 433 → 31
Alt Table
Click to see full alt table
StatusAccuracyProgram
61.8%
(fma.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) (*.f64 #s(approx (/ x (+ (* (log (/ x y)) x) z)) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y)))) x) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 (log.f64 (/.f64 x y)) x z))))
39.7%
(fma.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 (neg.f64 z))
53.2%
(fma.f64 (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y))) x (neg.f64 z))
79.6%
(fma.f64 (neg.f64 (log.f64 (/.f64 y x))) x (neg.f64 z))
79.7%
(fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z))
69.7%
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (+ (* (log (/ x y)) x) (neg z)) (*.f64 (fma.f64 (log.f64 (/.f64 x y)) (/.f64 x z) #s(literal -1 binary64)) z)) #s(literal -1 binary64)))
25.6%
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (log (/ x y)) x) (neg z)) -1) (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (log.f64 x) (log.f64 y)))))
44.5%
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (log (/ x y)) x) (neg z)) -1) (/.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 (/.f64 x y)))))
27.6%
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (log (/ x y)) x) (neg z)) -1) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 (/.f64 z x) (pow.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)))) (neg.f64 x))))
47.9%
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (log (/ x y)) x) (neg z)) -1) (/.f64 #s(literal -1 binary64) z)))
46.2%
(-.f64 (fma.f64 (log.f64 x) x (*.f64 (neg.f64 (log.f64 y)) x)) z)
53.2%
(-.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)
46.2%
(-.f64 (*.f64 x (-.f64 (log.f64 x) (log.f64 y))) z)
79.7%
(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
12.3%
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (/.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 x z) (log.f64 (/.f64 y x)) #s(literal -1 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 z z)))
20.0%
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (/.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 x z) (log.f64 (/.f64 y x)) #s(literal -1 binary64)) (*.f64 z z))) z))
44.9%
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (fma.f64 (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y))) (/.f64 x z) #s(literal -1 binary64)) z))
25.6%
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (-.f64 (log.f64 x) (log.f64 y)) x))
44.6%
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (log.f64 (/.f64 x y)) x))
34.6%
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 #s(approx (+ (* (log (/ x y)) (/ x z)) -1) (*.f64 (log.f64 (/.f64 x y)) (/.f64 x z))) z))
44.9%
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 #s(approx (+ (* (log (/ x y)) (/ x z)) -1) (neg.f64 (fma.f64 (/.f64 (neg.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) z) x #s(literal 1 binary64)))) z))
2.3%
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) z)
2.3%
#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)))
17.5%
#s(approx (- (* x (log (/ x y))) z) (/.f64 (*.f64 (neg.f64 z) z) (/.f64 (pow.f64 z #s(literal 3 binary64)) (*.f64 z z))))
29.3%
#s(approx (- (* x (log (/ x y))) z) (/.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1 binary64)))))
29.3%
#s(approx (- (* x (log (/ x y))) z) (/.f64 (*.f64 (neg.f64 z) z) z))
2.3%
#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))))
2.3%
#s(approx (- (* x (log (/ x y))) z) (*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 z z)))
48.0%
#s(approx (- (* x (log (/ x y))) z) (neg.f64 z))
1.2%
#s(approx (- (* x (log (/ x y))) z) (exp.f64 (*.f64 (log.f64 z) #s(literal 1 binary64))))
Compiler

Compiled 742 to 623 computations (16% saved)

simplify104.0ms (1%)

Memory
-19.7MiB live, 131.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal 1 binary64) x)
cost-diff0
(/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (log.f64 x) (log.f64 y)))
cost-diff0
#s(approx (pow (+ (* (log (/ x y)) x) (neg z)) -1) (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (log.f64 x) (log.f64 y))))
cost-diff0
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (log (/ x y)) x) (neg z)) -1) (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (log.f64 x) (log.f64 y)))))
cost-diff0
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (/.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 x z) (log.f64 (/.f64 y x)) #s(literal -1 binary64)) (*.f64 z z))) z))
cost-diff128
(neg.f64 (*.f64 (fma.f64 (/.f64 x z) (log.f64 (/.f64 y x)) #s(literal -1 binary64)) (*.f64 z z)))
cost-diff896
(*.f64 (fma.f64 (/.f64 x z) (log.f64 (/.f64 y x)) #s(literal -1 binary64)) (*.f64 z z))
cost-diff1024
(/.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 x z) (log.f64 (/.f64 y x)) #s(literal -1 binary64)) (*.f64 z z))) z)
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 (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (log.f64 (/.f64 x y)) x))
cost-diff0
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) z)
cost-diff0
(/.f64 y x)
cost-diff0
(log.f64 (/.f64 y x))
cost-diff0
(neg.f64 (log.f64 (/.f64 y x)))
cost-diff128
(fma.f64 (neg.f64 (log.f64 (/.f64 y x))) x (neg.f64 z))
Rules
5 400×lower-fma.f32
5 396×lower-fma.f64
3 008×lower-*.f32
3 002×lower-*.f64
1 474×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041271
063269
1102266
2196258
3480255
41228243
53786210
66267204
08135203
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 (neg.f64 (log.f64 (/.f64 y x))) x (neg.f64 z))
(neg.f64 (log.f64 (/.f64 y x)))
(log.f64 (/.f64 y x))
(/.f64 y x)
y
x
(neg.f64 z)
z
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) z)
z
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) 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 (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (/.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 x z) (log.f64 (/.f64 y x)) #s(literal -1 binary64)) (*.f64 z z))) z))
(/.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 x z) (log.f64 (/.f64 y x)) #s(literal -1 binary64)) (*.f64 z z))) z)
(neg.f64 (*.f64 (fma.f64 (/.f64 x z) (log.f64 (/.f64 y x)) #s(literal -1 binary64)) (*.f64 z z)))
(*.f64 (fma.f64 (/.f64 x z) (log.f64 (/.f64 y x)) #s(literal -1 binary64)) (*.f64 z z))
(fma.f64 (/.f64 x z) (log.f64 (/.f64 y x)) #s(literal -1 binary64))
(/.f64 x z)
x
z
(log.f64 (/.f64 y x))
(/.f64 y x)
y
#s(literal -1 binary64)
(*.f64 z z)
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (log (/ x y)) x) (neg z)) -1) (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (log.f64 x) (log.f64 y)))))
#s(literal 1 binary64)
#s(approx (pow (+ (* (log (/ x y)) x) (neg z)) -1) (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (log.f64 x) (log.f64 y))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (log.f64 x) (log.f64 y)))
(/.f64 #s(literal 1 binary64) x)
x
(-.f64 (log.f64 x) (log.f64 y))
(log.f64 x)
(log.f64 y)
y
Outputs
(fma.f64 (neg.f64 (log.f64 (/.f64 y x))) x (neg.f64 z))
(neg.f64 (fma.f64 (log.f64 (/.f64 y x)) x z))
(neg.f64 (log.f64 (/.f64 y x)))
(log.f64 (/.f64 y x))
(/.f64 y x)
y
x
(neg.f64 z)
z
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) z)
z
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) 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 (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (/.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 x z) (log.f64 (/.f64 y x)) #s(literal -1 binary64)) (*.f64 z z))) z))
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (fma.f64 (neg.f64 x) (log.f64 (/.f64 y x)) z))
(/.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 x z) (log.f64 (/.f64 y x)) #s(literal -1 binary64)) (*.f64 z z))) z)
(fma.f64 (neg.f64 x) (log.f64 (/.f64 y x)) z)
(neg.f64 (*.f64 (fma.f64 (/.f64 x z) (log.f64 (/.f64 y x)) #s(literal -1 binary64)) (*.f64 z z)))
(*.f64 (fma.f64 (neg.f64 x) (log.f64 (/.f64 y x)) z) z)
(*.f64 (fma.f64 (/.f64 x z) (log.f64 (/.f64 y x)) #s(literal -1 binary64)) (*.f64 z z))
(*.f64 (fma.f64 (log.f64 (/.f64 y x)) x (neg.f64 z)) z)
(fma.f64 (/.f64 x z) (log.f64 (/.f64 y x)) #s(literal -1 binary64))
(/.f64 x z)
x
z
(log.f64 (/.f64 y x))
(/.f64 y x)
y
#s(literal -1 binary64)
(*.f64 z z)
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (log (/ x y)) x) (neg z)) -1) (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (log.f64 x) (log.f64 y)))))
#s(literal 1 binary64)
#s(approx (pow (+ (* (log (/ x y)) x) (neg z)) -1) (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (log.f64 x) (log.f64 y))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (log.f64 x) (log.f64 y)))
(/.f64 #s(literal 1 binary64) x)
x
(-.f64 (log.f64 x) (log.f64 y))
(log.f64 x)
(log.f64 y)
y

localize164.0ms (1.6%)

Memory
-7.7MiB live, 207.5MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0.09765625
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (log (/ x y)) x) (neg z)) -1) (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (log.f64 x) (log.f64 y)))))
accuracy0.170253759768442
(/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (log.f64 x) (log.f64 y)))
accuracy0.3323111920510797
(-.f64 (log.f64 x) (log.f64 y))
accuracy13.242874454307543
#s(approx (pow (+ (* (log (/ x y)) x) (neg z)) -1) (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (log.f64 x) (log.f64 y))))
accuracy4.716149771823792
(*.f64 (fma.f64 (/.f64 x z) (log.f64 (/.f64 y x)) #s(literal -1 binary64)) (*.f64 z z))
accuracy7.224089007542676
(log.f64 (/.f64 y x))
accuracy8.622978560710141
(/.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 x z) (log.f64 (/.f64 y x)) #s(literal -1 binary64)) (*.f64 z z))) z)
accuracy13.517662481224017
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (/.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 x z) (log.f64 (/.f64 y x)) #s(literal -1 binary64)) (*.f64 z z))) z))
accuracy0
(/.f64 x y)
accuracy0.1484375
(*.f64 (log.f64 (/.f64 x y)) x)
accuracy7.168584118353645
(log.f64 (/.f64 x y))
accuracy13.19222829709099
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (log.f64 (/.f64 x y)) x))
accuracy29.08682697812442
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) z)
accuracy0
(neg.f64 (log.f64 (/.f64 y x)))
accuracy0
(neg.f64 z)
accuracy0.0859375
(fma.f64 (neg.f64 (log.f64 (/.f64 y x))) x (neg.f64 z))
accuracy7.224089007542676
(log.f64 (/.f64 y x))
Samples
43.0ms119×0valid
38.0ms137×0invalid
Compiler

Compiled 232 to 36 computations (84.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 63.0ms
ival-log: 22.0ms (35% of total)
ival-div: 13.0ms (20.7% of total)
ival-mult: 9.0ms (14.3% of total)
ival-add: 6.0ms (9.6% of total)
ival-neg: 5.0ms (8% of total)
ival-pow: 4.0ms (6.4% of total)
ival-pow2: 2.0ms (3.2% of total)
ival-sub: 1.0ms (1.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series557.0ms (5.3%)

Memory
-11.7MiB live, 634.1MiB allocated
Counts
19 → 540
Calls
Call 1
Inputs
#s(alt (fma.f64 (neg.f64 (log.f64 (/.f64 y x))) x (neg.f64 z)) (patch (fma.f64 (neg.f64 (log.f64 (/.f64 y x))) x (neg.f64 z)) #<representation binary64>) () ())
#s(alt (neg.f64 (log.f64 (/.f64 y x))) (patch (neg.f64 (log.f64 (/.f64 y x))) #<representation binary64>) () ())
#s(alt (log.f64 (/.f64 y x)) (patch (log.f64 (/.f64 y x)) #<representation binary64>) () ())
#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) z) (patch #s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) z) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (log.f64 (/.f64 x y)) x)) (patch #s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (log.f64 (/.f64 x y)) x)) #<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 (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())
#s(alt (/.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 x z) (log.f64 (/.f64 y x)) #s(literal -1 binary64)) (*.f64 z z))) z) (patch (/.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 x z) (log.f64 (/.f64 y x)) #s(literal -1 binary64)) (*.f64 z z))) z) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 (/.f64 x z) (log.f64 (/.f64 y x)) #s(literal -1 binary64)) (*.f64 z z)) (patch (*.f64 (fma.f64 (/.f64 x z) (log.f64 (/.f64 y x)) #s(literal -1 binary64)) (*.f64 z z)) #<representation binary64>) () ())
#s(alt (neg.f64 (*.f64 (fma.f64 (/.f64 x z) (log.f64 (/.f64 y x)) #s(literal -1 binary64)) (*.f64 z z))) (patch (neg.f64 (*.f64 (fma.f64 (/.f64 x z) (log.f64 (/.f64 y x)) #s(literal -1 binary64)) (*.f64 z z))) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (/.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 x z) (log.f64 (/.f64 y x)) #s(literal -1 binary64)) (*.f64 z z))) z)) (patch #s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (/.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 x z) (log.f64 (/.f64 y x)) #s(literal -1 binary64)) (*.f64 z z))) z)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (log (/ x y)) x) (neg z)) -1) (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (log.f64 x) (log.f64 y))))) (patch (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (log (/ x y)) x) (neg z)) -1) (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (log.f64 x) (log.f64 y))))) #<representation binary64>) () ())
#s(alt #s(approx (pow (+ (* (log (/ x y)) x) (neg z)) -1) (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (log.f64 x) (log.f64 y)))) (patch #s(approx (pow (+ (* (log (/ x y)) x) (neg z)) -1) (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (log.f64 x) (log.f64 y)))) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (log.f64 x) (log.f64 y))) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (log.f64 x) (log.f64 y))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())
#s(alt (-.f64 (log.f64 x) (log.f64 y)) (patch (-.f64 (log.f64 x) (log.f64 y)) #<representation binary64>) () ())
Outputs
#s(alt (* -1 (* x (log (/ y x)))) (taylor 0 z) (#s(alt (fma.f64 (neg.f64 (log.f64 (/.f64 y x))) x (neg.f64 z)) (patch (fma.f64 (neg.f64 (log.f64 (/.f64 y x))) x (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* -1 (* x (log (/ y x))))) (taylor 0 z) (#s(alt (fma.f64 (neg.f64 (log.f64 (/.f64 y x))) x (neg.f64 z)) (patch (fma.f64 (neg.f64 (log.f64 (/.f64 y x))) x (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* -1 (* x (log (/ y x))))) (taylor 0 z) (#s(alt (fma.f64 (neg.f64 (log.f64 (/.f64 y x))) x (neg.f64 z)) (patch (fma.f64 (neg.f64 (log.f64 (/.f64 y x))) x (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* -1 (* x (log (/ y x))))) (taylor 0 z) (#s(alt (fma.f64 (neg.f64 (log.f64 (/.f64 y x))) x (neg.f64 z)) (patch (fma.f64 (neg.f64 (log.f64 (/.f64 y x))) x (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* x (log (/ x y))) (taylor 0 z) (#s(alt #s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) z) (patch #s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) z) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* x (log (/ x y)))) (taylor 0 z) (#s(alt #s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) z) (patch #s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) z) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* x (log (/ x y)))) (taylor 0 z) (#s(alt #s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) z) (patch #s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) z) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* x (log (/ x y)))) (taylor 0 z) (#s(alt #s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) z) (patch #s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) z) #<representation binary64>) () ())) ())
#s(alt (* x (log (/ x y))) (taylor 0 z) (#s(alt #s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (log.f64 (/.f64 x y)) x)) (patch #s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) 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 (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (log.f64 (/.f64 x y)) x)) (patch #s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) 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 (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (log.f64 (/.f64 x y)) x)) (patch #s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) 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 (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (log.f64 (/.f64 x y)) x)) (patch #s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (log.f64 (/.f64 x y)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (log (/ y x)))) (taylor 0 z) (#s(alt (/.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 x z) (log.f64 (/.f64 y x)) #s(literal -1 binary64)) (*.f64 z z))) z) (patch (/.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 x z) (log.f64 (/.f64 y x)) #s(literal -1 binary64)) (*.f64 z z))) z) #<representation binary64>) () ())) ())
#s(alt (+ z (* -1 (* x (log (/ y x))))) (taylor 0 z) (#s(alt (/.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 x z) (log.f64 (/.f64 y x)) #s(literal -1 binary64)) (*.f64 z z))) z) (patch (/.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 x z) (log.f64 (/.f64 y x)) #s(literal -1 binary64)) (*.f64 z z))) z) #<representation binary64>) () ())) ())
#s(alt (+ z (* -1 (* x (log (/ y x))))) (taylor 0 z) (#s(alt (/.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 x z) (log.f64 (/.f64 y x)) #s(literal -1 binary64)) (*.f64 z z))) z) (patch (/.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 x z) (log.f64 (/.f64 y x)) #s(literal -1 binary64)) (*.f64 z z))) z) #<representation binary64>) () ())) ())
#s(alt (+ z (* -1 (* x (log (/ y x))))) (taylor 0 z) (#s(alt (/.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 x z) (log.f64 (/.f64 y x)) #s(literal -1 binary64)) (*.f64 z z))) z) (patch (/.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 x z) (log.f64 (/.f64 y x)) #s(literal -1 binary64)) (*.f64 z z))) z) #<representation binary64>) () ())) ())
#s(alt (* x (* z (log (/ y x)))) (taylor 0 z) (#s(alt (*.f64 (fma.f64 (/.f64 x z) (log.f64 (/.f64 y x)) #s(literal -1 binary64)) (*.f64 z z)) (patch (*.f64 (fma.f64 (/.f64 x z) (log.f64 (/.f64 y x)) #s(literal -1 binary64)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 z) (* x (log (/ y x))))) (taylor 0 z) (#s(alt (*.f64 (fma.f64 (/.f64 x z) (log.f64 (/.f64 y x)) #s(literal -1 binary64)) (*.f64 z z)) (patch (*.f64 (fma.f64 (/.f64 x z) (log.f64 (/.f64 y x)) #s(literal -1 binary64)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 z) (* x (log (/ y x))))) (taylor 0 z) (#s(alt (*.f64 (fma.f64 (/.f64 x z) (log.f64 (/.f64 y x)) #s(literal -1 binary64)) (*.f64 z z)) (patch (*.f64 (fma.f64 (/.f64 x z) (log.f64 (/.f64 y x)) #s(literal -1 binary64)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 z) (* x (log (/ y x))))) (taylor 0 z) (#s(alt (*.f64 (fma.f64 (/.f64 x z) (log.f64 (/.f64 y x)) #s(literal -1 binary64)) (*.f64 z z)) (patch (*.f64 (fma.f64 (/.f64 x z) (log.f64 (/.f64 y x)) #s(literal -1 binary64)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* z (log (/ y x))))) (taylor 0 z) (#s(alt (neg.f64 (*.f64 (fma.f64 (/.f64 x z) (log.f64 (/.f64 y x)) #s(literal -1 binary64)) (*.f64 z z))) (patch (neg.f64 (*.f64 (fma.f64 (/.f64 x z) (log.f64 (/.f64 y x)) #s(literal -1 binary64)) (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (* z (- z (* x (log (/ y x))))) (taylor 0 z) (#s(alt (neg.f64 (*.f64 (fma.f64 (/.f64 x z) (log.f64 (/.f64 y x)) #s(literal -1 binary64)) (*.f64 z z))) (patch (neg.f64 (*.f64 (fma.f64 (/.f64 x z) (log.f64 (/.f64 y x)) #s(literal -1 binary64)) (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (* z (- z (* x (log (/ y x))))) (taylor 0 z) (#s(alt (neg.f64 (*.f64 (fma.f64 (/.f64 x z) (log.f64 (/.f64 y x)) #s(literal -1 binary64)) (*.f64 z z))) (patch (neg.f64 (*.f64 (fma.f64 (/.f64 x z) (log.f64 (/.f64 y x)) #s(literal -1 binary64)) (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (* z (- z (* x (log (/ y x))))) (taylor 0 z) (#s(alt (neg.f64 (*.f64 (fma.f64 (/.f64 x z) (log.f64 (/.f64 y x)) #s(literal -1 binary64)) (*.f64 z z))) (patch (neg.f64 (*.f64 (fma.f64 (/.f64 x z) (log.f64 (/.f64 y x)) #s(literal -1 binary64)) (*.f64 z z))) #<representation binary64>) () ())) ())
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#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (- (+ (log -1) (* -1 (log (/ -1 x)))) (log y)) (taylor -inf x) (#s(alt (-.f64 (log.f64 x) (log.f64 y)) (patch (-.f64 (log.f64 x) (log.f64 y)) #<representation binary64>) () ())) ())
#s(alt (- (+ (log -1) (* -1 (log (/ -1 x)))) (log y)) (taylor -inf x) (#s(alt (-.f64 (log.f64 x) (log.f64 y)) (patch (-.f64 (log.f64 x) (log.f64 y)) #<representation binary64>) () ())) ())
#s(alt (- (+ (log -1) (* -1 (log (/ -1 x)))) (log y)) (taylor -inf x) (#s(alt (-.f64 (log.f64 x) (log.f64 y)) (patch (-.f64 (log.f64 x) (log.f64 y)) #<representation binary64>) () ())) ())
#s(alt (- (+ (log -1) (* -1 (log (/ -1 x)))) (log y)) (taylor -inf x) (#s(alt (-.f64 (log.f64 x) (log.f64 y)) (patch (-.f64 (log.f64 x) (log.f64 y)) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
280.0ms
x
@0
((+ (* (neg (log (/ y x))) x) (neg z)) (neg (log (/ y x))) (log (/ y x)) (/ y x) (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (* (log (/ x y)) x) (log (/ x y)) (/ x y) (/ (neg (* (+ (* (/ x z) (log (/ y x))) -1) (* z z))) z) (* (+ (* (/ x z) (log (/ y x))) -1) (* z z)) (neg (* (+ (* (/ x z) (log (/ y x))) -1) (* z z))) (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (/ 1 (pow (+ (* (log (/ x y)) x) (neg z)) -1)) (pow (+ (* (log (/ x y)) x) (neg z)) -1) (/ (/ 1 x) (- (log x) (log y))) (/ 1 x) (neg z) (- (log x) (log y)))
56.0ms
y
@-inf
((+ (* (neg (log (/ y x))) x) (neg z)) (neg (log (/ y x))) (log (/ y x)) (/ y x) (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (* (log (/ x y)) x) (log (/ x y)) (/ x y) (/ (neg (* (+ (* (/ x z) (log (/ y x))) -1) (* z z))) z) (* (+ (* (/ x z) (log (/ y x))) -1) (* z z)) (neg (* (+ (* (/ x z) (log (/ y x))) -1) (* z z))) (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (/ 1 (pow (+ (* (log (/ x y)) x) (neg z)) -1)) (pow (+ (* (log (/ x y)) x) (neg z)) -1) (/ (/ 1 x) (- (log x) (log y))) (/ 1 x) (neg z) (- (log x) (log y)))
56.0ms
x
@-inf
((+ (* (neg (log (/ y x))) x) (neg z)) (neg (log (/ y x))) (log (/ y x)) (/ y x) (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (* (log (/ x y)) x) (log (/ x y)) (/ x y) (/ (neg (* (+ (* (/ x z) (log (/ y x))) -1) (* z z))) z) (* (+ (* (/ x z) (log (/ y x))) -1) (* z z)) (neg (* (+ (* (/ x z) (log (/ y x))) -1) (* z z))) (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (/ 1 (pow (+ (* (log (/ x y)) x) (neg z)) -1)) (pow (+ (* (log (/ x y)) x) (neg z)) -1) (/ (/ 1 x) (- (log x) (log y))) (/ 1 x) (neg z) (- (log x) (log y)))
43.0ms
y
@inf
((+ (* (neg (log (/ y x))) x) (neg z)) (neg (log (/ y x))) (log (/ y x)) (/ y x) (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (* (log (/ x y)) x) (log (/ x y)) (/ x y) (/ (neg (* (+ (* (/ x z) (log (/ y x))) -1) (* z z))) z) (* (+ (* (/ x z) (log (/ y x))) -1) (* z z)) (neg (* (+ (* (/ x z) (log (/ y x))) -1) (* z z))) (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (/ 1 (pow (+ (* (log (/ x y)) x) (neg z)) -1)) (pow (+ (* (log (/ x y)) x) (neg z)) -1) (/ (/ 1 x) (- (log x) (log y))) (/ 1 x) (neg z) (- (log x) (log y)))
37.0ms
x
@inf
((+ (* (neg (log (/ y x))) x) (neg z)) (neg (log (/ y x))) (log (/ y x)) (/ y x) (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (* (log (/ x y)) x) (log (/ x y)) (/ x y) (/ (neg (* (+ (* (/ x z) (log (/ y x))) -1) (* z z))) z) (* (+ (* (/ x z) (log (/ y x))) -1) (* z z)) (neg (* (+ (* (/ x z) (log (/ y x))) -1) (* z z))) (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (/ 1 (pow (+ (* (log (/ x y)) x) (neg z)) -1)) (pow (+ (* (log (/ x y)) x) (neg z)) -1) (/ (/ 1 x) (- (log x) (log y))) (/ 1 x) (neg z) (- (log x) (log y)))

simplify205.0ms (2%)

Memory
32.3MiB live, 219.7MiB allocated
Algorithm
egg-herbie
Rules
7 184×lower-fma.f64
7 184×lower-fma.f32
5 356×lower-*.f64
5 356×lower-*.f32
3 204×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03606498
111376037
237345908
081145770
Stop Event
iter limit
node limit
Counts
540 → 537
Calls
Call 1
Inputs
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(+ (* -1 z) (* -1 (* x (log (/ y x)))))
(+ (* -1 z) (* -1 (* x (log (/ y x)))))
(* x (log (/ x y)))
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(+ (* -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 (* x (log (/ y x))))
(+ z (* -1 (* x (log (/ y x)))))
(+ z (* -1 (* x (log (/ y x)))))
(+ z (* -1 (* x (log (/ y x)))))
(* x (* z (log (/ y x))))
(* z (+ (* -1 z) (* x (log (/ y x)))))
(* z (+ (* -1 z) (* x (log (/ y x)))))
(* z (+ (* -1 z) (* x (log (/ y x)))))
(* -1 (* x (* z (log (/ y x)))))
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(* z (- z (* x (log (/ y x)))))
(* z (- z (* x (log (/ y x)))))
(* x (log (/ x y)))
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(* x (log (/ x y)))
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(+ (* -1 z) (* x (log (/ x y))))
(/ 1 (* x (log (/ x y))))
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(+ (* z (+ (/ 1 (* (pow x 2) (pow (log (/ x y)) 2))) (/ z (* (pow x 3) (pow (log (/ x y)) 3))))) (/ 1 (* x (log (/ x y)))))
(+ (* z (+ (* z (+ (/ 1 (* (pow x 3) (pow (log (/ x y)) 3))) (/ z (* (pow x 4) (pow (log (/ x y)) 4))))) (/ 1 (* (pow x 2) (pow (log (/ x y)) 2))))) (/ 1 (* x (log (/ x y)))))
(* -1 z)
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(* -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))
(* z (- (/ (* x (log (/ x y))) z) 1))
(* z (- (/ (* x (log (/ x y))) z) 1))
z
(* z (+ 1 (* -1 (/ (* x (log (/ y x))) z))))
(* z (+ 1 (* -1 (/ (* x (log (/ y x))) z))))
(* z (+ 1 (* -1 (/ (* x (log (/ y x))) z))))
(* -1 (pow z 2))
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(* (pow z 2) (- (/ (* x (log (/ y x))) z) 1))
(* (pow z 2) (- (/ (* x (log (/ y x))) z) 1))
(pow z 2)
(* (pow z 2) (+ 1 (* -1 (/ (* x (log (/ y x))) z))))
(* (pow z 2) (+ 1 (* -1 (/ (* x (log (/ y x))) z))))
(* (pow z 2) (+ 1 (* -1 (/ (* x (log (/ y x))) 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 (- (/ (* x (log (/ x y))) z) 1))
(* z (- (/ (* x (log (/ x y))) z) 1))
(* z (- (/ (* x (log (/ x y))) z) 1))
(/ -1 z)
(/ (- (* -1 (/ (* x (log (/ x y))) z)) 1) z)
(/ (- (* -1 (/ (* (pow x 2) (pow (log (/ x y)) 2)) (pow z 2))) (+ 1 (/ (* x (log (/ x y))) z))) z)
(/ (- (* -1 (/ (* (pow x 3) (pow (log (/ x y)) 3)) (pow z 3))) (+ 1 (+ (/ (* x (log (/ x y))) z) (/ (* (pow x 2) (pow (log (/ x y)) 2)) (pow z 2))))) z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 (* z (+ 1 (/ (* x (log (/ y x))) z))))
(* -1 (* z (+ 1 (/ (* x (log (/ y x))) z))))
(* -1 (* z (+ 1 (/ (* x (log (/ y x))) 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)))))
z
(* -1 (* z (- (/ (* x (log (/ y x))) z) 1)))
(* -1 (* z (- (/ (* x (log (/ y x))) z) 1)))
(* -1 (* z (- (/ (* x (log (/ y x))) z) 1)))
(* -1 (pow z 2))
(* (pow z 2) (- (/ (* x (log (/ y x))) z) 1))
(* (pow z 2) (- (/ (* x (log (/ y x))) z) 1))
(* (pow z 2) (- (/ (* x (log (/ y x))) z) 1))
(pow z 2)
(* (pow z 2) (+ 1 (* -1 (/ (* x (log (/ y x))) z))))
(* (pow z 2) (+ 1 (* -1 (/ (* x (log (/ y x))) z))))
(* (pow z 2) (+ 1 (* -1 (/ (* x (log (/ y x))) 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 (+ (log (/ 1 y)) (* -1 (log (/ 1 x))))) (/ (pow z 2) (* (pow x 2) (pow (+ (log (/ 1 y)) (* -1 (log (/ 1 x)))) 3)))) (* -1 (/ z (* x (pow (+ (log (/ 1 y)) (* -1 (log (/ 1 x)))) 2))))) x)
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(/ 1 (* x (- (* -1 (log (/ 1 x))) (log y))))
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Outputs
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rewrite203.0ms (2%)

Memory
6.6MiB live, 315.0MiB allocated
Rules
5 536×lower-fma.f32
5 532×lower-fma.f64
4 154×lower-/.f32
4 140×lower-/.f64
3 612×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041232
063224
1237182
21431174
08879169
Stop Event
iter limit
node limit
iter limit
Counts
19 → 921
Calls
Call 1
Inputs
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(neg.f64 (log.f64 (/.f64 y x)))
(log.f64 (/.f64 y x))
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Outputs
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eval287.0ms (2.8%)

Memory
17.1MiB live, 449.4MiB allocated
Compiler

Compiled 33 553 to 3 800 computations (88.7% saved)

prune256.0ms (2.5%)

Memory
-28.6MiB live, 210.7MiB allocated
Pruning

34 alts after pruning (27 fresh and 7 done)

PrunedKeptTotal
New1 592131 605
Fresh81422
Picked235
Done044
Total1 602341 636
Accuracy
100.0%
Counts
1 636 → 34
Alt Table
Click to see full alt table
StatusAccuracyProgram
39.7%
(fma.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 (neg.f64 z))
53.2%
(fma.f64 (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y))) x (neg.f64 z))
79.7%
(fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z))
25.6%
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (log (/ x y)) x) (neg z)) -1) (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (log.f64 x) (log.f64 y)))))
44.5%
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (log (/ x y)) x) (neg z)) -1) (/.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 (/.f64 x y)))))
27.6%
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (log (/ x y)) x) (neg z)) -1) (/.f64 (+.f64 (/.f64 (/.f64 z x) (pow.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) x)))
45.5%
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (log (/ x y)) x) (neg z)) -1) (/.f64 #s(literal -1 binary64) (*.f64 (log.f64 (/.f64 y x)) x))))
47.9%
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (log (/ x y)) x) (neg z)) -1) (/.f64 #s(literal -1 binary64) z)))
46.2%
(-.f64 (*.f64 x (-.f64 (log.f64 x) (log.f64 y))) z)
79.7%
(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
25.7%
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (fma.f64 (log.f64 x) x (*.f64 (neg.f64 (log.f64 y)) x)))
19.6%
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (/.f64 (*.f64 (fma.f64 (/.f64 x z) (log.f64 (/.f64 x y)) #s(literal 1 binary64)) (*.f64 z z)) z))
9.4%
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (/.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 x z) (-.f64 (log.f64 (neg.f64 y)) (log.f64 (neg.f64 x))) #s(literal -1 binary64)) (*.f64 z z))) z))
22.9%
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (/.f64 (neg.f64 #s(approx (* (+ (* (/ x z) (log (/ y x))) -1) (* z z)) (*.f64 (*.f64 z x) (+.f64 (log.f64 (neg.f64 y)) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) z))
37.1%
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (/.f64 (neg.f64 #s(approx (* (+ (* (/ x z) (log (/ y x))) -1) (* z z)) (*.f64 (*.f64 z x) (log.f64 (/.f64 y x))))) z))
45.5%
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (/.f64 (log.f64 (/.f64 y x)) (/.f64 #s(literal -1 binary64) x)))
2.3%
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (/.f64 #s(approx (neg (* (+ (* (/ x z) (log (/ y x))) -1) (* z z))) (*.f64 z z)) z))
44.5%
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (/.f64 x (pow.f64 (log.f64 (/.f64 x y)) #s(literal -1 binary64))))
44.9%
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (fma.f64 (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y))) (/.f64 x z) #s(literal -1 binary64)) z))
27.9%
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y))) x))
25.6%
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (-.f64 (log.f64 x) (log.f64 y)) x))
20.0%
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (*.f64 (*.f64 z z) (fma.f64 (/.f64 x z) (log.f64 (/.f64 y x)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) z)))
45.5%
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (neg.f64 (log.f64 (/.f64 y x))) x))
44.6%
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (log.f64 (/.f64 x y)) x))
34.6%
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 #s(approx (+ (* (log (/ x y)) (/ x z)) -1) (*.f64 (log.f64 (/.f64 x y)) (/.f64 x z))) z))
2.3%
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) z)
2.3%
#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)))
17.5%
#s(approx (- (* x (log (/ x y))) z) (/.f64 (*.f64 (neg.f64 z) z) (/.f64 (pow.f64 z #s(literal 3 binary64)) (*.f64 z z))))
29.3%
#s(approx (- (* x (log (/ x y))) z) (/.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1 binary64)))))
29.3%
#s(approx (- (* x (log (/ x y))) z) (/.f64 (*.f64 (neg.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))))
2.3%
#s(approx (- (* x (log (/ x y))) z) (*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 z z)))
48.0%
#s(approx (- (* x (log (/ x y))) z) (neg.f64 z))
1.2%
#s(approx (- (* x (log (/ x y))) z) (exp.f64 (*.f64 (log.f64 z) #s(literal 1 binary64))))
Compiler

Compiled 1 391 to 585 computations (57.9% saved)

regimes119.0ms (1.1%)

Memory
2.9MiB live, 152.4MiB allocated
Counts
64 → 2
Calls
Call 1
Inputs
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) 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 (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (/.f64 #s(approx (neg (* (+ (* (/ x z) (log (/ y x))) -1) (* z z))) (*.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)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (log (/ x y)) x) (neg z)) -1) (/.f64 #s(literal -1 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 (log.f64 (/.f64 x y)) x))
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (log.f64 (/.f64 x y)) x))
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) 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)
(fma.f64 (neg.f64 (log.f64 (/.f64 y x))) x (neg.f64 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)))
#s(approx (- (* x (log (/ x y))) z) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z)))))
#s(approx (- (* x (log (/ x y))) z) (/.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1 binary64)))))
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 #s(approx (+ (* (log (/ x y)) (/ x z)) -1) (*.f64 (log.f64 (/.f64 x y)) (/.f64 x z))) z))
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (fma.f64 (log.f64 (/.f64 x y)) (/.f64 x z) #s(literal -1 binary64)) z))
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (/.f64 (log.f64 (/.f64 y x)) (/.f64 #s(literal -1 binary64) x)))
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (/.f64 (neg.f64 #s(approx (* (+ (* (/ x z) (log (/ y x))) -1) (* z z)) (*.f64 (*.f64 z x) (log.f64 (/.f64 y x))))) z))
#s(approx (- (* x (log (/ x y))) z) (/.f64 (*.f64 (neg.f64 z) z) (/.f64 (pow.f64 z #s(literal 3 binary64)) (*.f64 z z))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (log (/ x y)) x) (neg z)) -1) (/.f64 #s(literal -1 binary64) (*.f64 (log.f64 (/.f64 y x)) x))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (log (/ x y)) x) (neg z)) -1) (/.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 (/.f64 x y)))))
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (/.f64 (*.f64 (fma.f64 (/.f64 x z) (log.f64 (/.f64 x y)) #s(literal 1 binary64)) (*.f64 z z)) z))
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (/.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 x z) (log.f64 (/.f64 y x)) #s(literal -1 binary64)) (*.f64 z z))) z))
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (*.f64 (*.f64 z z) (fma.f64 (/.f64 x z) (log.f64 (/.f64 y x)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) z)))
#s(approx (- (* x (log (/ x y))) z) (exp.f64 (*.f64 (log.f64 z) #s(literal 1 binary64))))
#s(approx (- (* x (log (/ x y))) z) (*.f64 (-.f64 (log.f64 x) (log.f64 y)) x))
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (-.f64 (log.f64 x) (log.f64 y)) x))
(-.f64 (*.f64 x (-.f64 (log.f64 x) (log.f64 y))) z)
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y))) x))
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (fma.f64 (log.f64 x) x (*.f64 (neg.f64 (log.f64 y)) x)))
(-.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 (fma.f64 (log.f64 x) x (*.f64 (neg.f64 (log.f64 y)) x)) z)
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (/.f64 x (pow.f64 (log.f64 (/.f64 x y)) #s(literal -1 binary64))))
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (fma.f64 (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y))) (/.f64 x z) #s(literal -1 binary64)) z))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (log.f64 (/.f64 x y)) x (neg.f64 z)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (log (/ x y)) x) (neg z)) -1) (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (log.f64 x) (log.f64 y)))))
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (/.f64 (neg.f64 #s(approx (* (+ (* (/ x z) (log (/ y x))) -1) (* z z)) (*.f64 (*.f64 z x) (+.f64 (log.f64 (neg.f64 y)) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) z))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (+ (* (log (/ x y)) x) (neg z)) (*.f64 (fma.f64 (log.f64 (/.f64 x y)) (/.f64 x z) #s(literal -1 binary64)) z)) #s(literal -1 binary64)))
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (/.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 x z) (-.f64 (log.f64 (neg.f64 y)) (log.f64 (neg.f64 x))) #s(literal -1 binary64)) (*.f64 z z))) z))
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 #s(approx (+ (* (log (/ x y)) (/ x z)) -1) (neg.f64 (fma.f64 (/.f64 (neg.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) z) x #s(literal 1 binary64)))) z))
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (/.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 x z) (log.f64 (/.f64 y x)) #s(literal -1 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 z z)))
(/.f64 #s(approx (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (*.f64 (pow.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64)) (*.f64 x x))) (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))) (fma.f64 (log.f64 (/.f64 x y)) x z))
(/.f64 #s(approx (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (*.f64 (fma.f64 (pow.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64)) (/.f64 (*.f64 x x) (*.f64 z z)) #s(literal -1 binary64)) (*.f64 z z))) (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 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) (*.f64 #s(approx (/ x (+ (* (log (/ x y)) x) z)) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 x y)))) x) (neg.f64 (/.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 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) (*.f64 (/.f64 x (fma.f64 (log.f64 (/.f64 x y)) x z)) x) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 (log.f64 (/.f64 x y)) x z))))
(fma.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 2 binary64)) (/.f64 (*.f64 x 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 (*.f64 x x) (log.f64 (/.f64 x y))) (/.f64 (log.f64 (/.f64 x y)) (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 (/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 y) #s(literal 2 binary64))) x) (log.f64 (*.f64 y x))) z)
(fma.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 (neg.f64 z))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (log (/ x y)) x) (neg z)) -1) (/.f64 (+.f64 (/.f64 (/.f64 z x) (pow.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) x)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (log (/ x y)) x) (neg z)) -1) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 (/.f64 z x) (pow.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)))) (neg.f64 x))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (log.f64 (/.f64 x y)) x z) (*.f64 z z))) (*.f64 (/.f64 (fma.f64 (log.f64 (/.f64 x y)) x z) (pow.f64 (*.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 (/.f64 (fma.f64 (log.f64 (/.f64 x y)) x z) (pow.f64 (*.f64 (log.f64 (/.f64 x y)) x) #s(literal 2 binary64))) (/.f64 (fma.f64 (log.f64 (/.f64 x y)) x z) (*.f64 z 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)
(-.f64 (*.f64 x (-.f64 (/.f64 (pow.f64 (log.f64 (neg.f64 x)) #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)))))) (/.f64 (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 (*.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)
Calls

5 calls:

35.0ms
z
27.0ms
x
19.0ms
(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
17.0ms
y
16.0ms
(*.f64 x (log.f64 (/.f64 x y)))
Results
AccuracySegmentsBranch
99.4%2x
99.4%2y
82.4%2z
90.5%3(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
90.5%3(*.f64 x (log.f64 (/.f64 x y)))
Compiler

Compiled 17 to 22 computations (-29.4% saved)

regimes54.0ms (0.5%)

Memory
-20.9MiB live, 53.3MiB allocated
Counts
37 → 2
Calls
Call 1
Inputs
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) 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 (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (/.f64 #s(approx (neg (* (+ (* (/ x z) (log (/ y x))) -1) (* z z))) (*.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)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (log (/ x y)) x) (neg z)) -1) (/.f64 #s(literal -1 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 (log.f64 (/.f64 x y)) x))
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (log.f64 (/.f64 x y)) x))
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) 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)
(fma.f64 (neg.f64 (log.f64 (/.f64 y x))) x (neg.f64 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)))
#s(approx (- (* x (log (/ x y))) z) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z)))))
#s(approx (- (* x (log (/ x y))) z) (/.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1 binary64)))))
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 #s(approx (+ (* (log (/ x y)) (/ x z)) -1) (*.f64 (log.f64 (/.f64 x y)) (/.f64 x z))) z))
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (fma.f64 (log.f64 (/.f64 x y)) (/.f64 x z) #s(literal -1 binary64)) z))
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (/.f64 (log.f64 (/.f64 y x)) (/.f64 #s(literal -1 binary64) x)))
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (/.f64 (neg.f64 #s(approx (* (+ (* (/ x z) (log (/ y x))) -1) (* z z)) (*.f64 (*.f64 z x) (log.f64 (/.f64 y x))))) z))
#s(approx (- (* x (log (/ x y))) z) (/.f64 (*.f64 (neg.f64 z) z) (/.f64 (pow.f64 z #s(literal 3 binary64)) (*.f64 z z))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (log (/ x y)) x) (neg z)) -1) (/.f64 #s(literal -1 binary64) (*.f64 (log.f64 (/.f64 y x)) x))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (log (/ x y)) x) (neg z)) -1) (/.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 (/.f64 x y)))))
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (/.f64 (*.f64 (fma.f64 (/.f64 x z) (log.f64 (/.f64 x y)) #s(literal 1 binary64)) (*.f64 z z)) z))
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (/.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 x z) (log.f64 (/.f64 y x)) #s(literal -1 binary64)) (*.f64 z z))) z))
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (*.f64 (*.f64 z z) (fma.f64 (/.f64 x z) (log.f64 (/.f64 y x)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) z)))
#s(approx (- (* x (log (/ x y))) z) (exp.f64 (*.f64 (log.f64 z) #s(literal 1 binary64))))
#s(approx (- (* x (log (/ x y))) z) (*.f64 (-.f64 (log.f64 x) (log.f64 y)) x))
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (-.f64 (log.f64 x) (log.f64 y)) x))
(-.f64 (*.f64 x (-.f64 (log.f64 x) (log.f64 y))) z)
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y))) x))
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (fma.f64 (log.f64 x) x (*.f64 (neg.f64 (log.f64 y)) x)))
(-.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))
Outputs
(-.f64 (*.f64 x (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y)))) z)
(-.f64 (*.f64 x (-.f64 (log.f64 x) (log.f64 y))) z)
Calls

2 calls:

39.0ms
y
13.0ms
x
Results
AccuracySegmentsBranch
99.4%2x
99.4%2y
Compiler

Compiled 2 to 6 computations (-200% saved)

regimes27.0ms (0.3%)

Memory
7.9MiB live, 51.1MiB allocated
Counts
35 → 4
Calls
Call 1
Inputs
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) 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 (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (/.f64 #s(approx (neg (* (+ (* (/ x z) (log (/ y x))) -1) (* z z))) (*.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)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (log (/ x y)) x) (neg z)) -1) (/.f64 #s(literal -1 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 (log.f64 (/.f64 x y)) x))
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (log.f64 (/.f64 x y)) x))
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) 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)
(fma.f64 (neg.f64 (log.f64 (/.f64 y x))) x (neg.f64 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)))
#s(approx (- (* x (log (/ x y))) z) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z)))))
#s(approx (- (* x (log (/ x y))) z) (/.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1 binary64)))))
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 #s(approx (+ (* (log (/ x y)) (/ x z)) -1) (*.f64 (log.f64 (/.f64 x y)) (/.f64 x z))) z))
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (fma.f64 (log.f64 (/.f64 x y)) (/.f64 x z) #s(literal -1 binary64)) z))
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (/.f64 (log.f64 (/.f64 y x)) (/.f64 #s(literal -1 binary64) x)))
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (/.f64 (neg.f64 #s(approx (* (+ (* (/ x z) (log (/ y x))) -1) (* z z)) (*.f64 (*.f64 z x) (log.f64 (/.f64 y x))))) z))
#s(approx (- (* x (log (/ x y))) z) (/.f64 (*.f64 (neg.f64 z) z) (/.f64 (pow.f64 z #s(literal 3 binary64)) (*.f64 z z))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (log (/ x y)) x) (neg z)) -1) (/.f64 #s(literal -1 binary64) (*.f64 (log.f64 (/.f64 y x)) x))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (log (/ x y)) x) (neg z)) -1) (/.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 (/.f64 x y)))))
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (/.f64 (*.f64 (fma.f64 (/.f64 x z) (log.f64 (/.f64 x y)) #s(literal 1 binary64)) (*.f64 z z)) z))
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (/.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 x z) (log.f64 (/.f64 y x)) #s(literal -1 binary64)) (*.f64 z z))) z))
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (*.f64 (*.f64 z z) (fma.f64 (/.f64 x z) (log.f64 (/.f64 y x)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) z)))
#s(approx (- (* x (log (/ x y))) z) (exp.f64 (*.f64 (log.f64 z) #s(literal 1 binary64))))
#s(approx (- (* x (log (/ x y))) z) (*.f64 (-.f64 (log.f64 x) (log.f64 y)) x))
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (-.f64 (log.f64 x) (log.f64 y)) x))
(-.f64 (*.f64 x (-.f64 (log.f64 x) (log.f64 y))) z)
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y))) x))
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (fma.f64 (log.f64 x) x (*.f64 (neg.f64 (log.f64 y)) x)))
Outputs
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y))) x))
(fma.f64 (neg.f64 (log.f64 (/.f64 y x))) x (neg.f64 z))
#s(approx (- (* x (log (/ x y))) z) (neg.f64 z))
(-.f64 (*.f64 x (-.f64 (log.f64 x) (log.f64 y))) z)
Calls

2 calls:

15.0ms
x
10.0ms
y
Results
AccuracySegmentsBranch
95.1%4x
90.1%2y
Compiler

Compiled 2 to 6 computations (-200% saved)

regimes13.0ms (0.1%)

Memory
-7.7MiB live, 27.7MiB allocated
Counts
33 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) 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 (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (/.f64 #s(approx (neg (* (+ (* (/ x z) (log (/ y x))) -1) (* z z))) (*.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)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (log (/ x y)) x) (neg z)) -1) (/.f64 #s(literal -1 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 (log.f64 (/.f64 x y)) x))
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (log.f64 (/.f64 x y)) x))
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) 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)
(fma.f64 (neg.f64 (log.f64 (/.f64 y x))) x (neg.f64 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)))
#s(approx (- (* x (log (/ x y))) z) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z)))))
#s(approx (- (* x (log (/ x y))) z) (/.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1 binary64)))))
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 #s(approx (+ (* (log (/ x y)) (/ x z)) -1) (*.f64 (log.f64 (/.f64 x y)) (/.f64 x z))) z))
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (fma.f64 (log.f64 (/.f64 x y)) (/.f64 x z) #s(literal -1 binary64)) z))
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (/.f64 (log.f64 (/.f64 y x)) (/.f64 #s(literal -1 binary64) x)))
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (/.f64 (neg.f64 #s(approx (* (+ (* (/ x z) (log (/ y x))) -1) (* z z)) (*.f64 (*.f64 z x) (log.f64 (/.f64 y x))))) z))
#s(approx (- (* x (log (/ x y))) z) (/.f64 (*.f64 (neg.f64 z) z) (/.f64 (pow.f64 z #s(literal 3 binary64)) (*.f64 z z))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (log (/ x y)) x) (neg z)) -1) (/.f64 #s(literal -1 binary64) (*.f64 (log.f64 (/.f64 y x)) x))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (log (/ x y)) x) (neg z)) -1) (/.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 (/.f64 x y)))))
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (/.f64 (*.f64 (fma.f64 (/.f64 x z) (log.f64 (/.f64 x y)) #s(literal 1 binary64)) (*.f64 z z)) z))
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (/.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 x z) (log.f64 (/.f64 y x)) #s(literal -1 binary64)) (*.f64 z z))) z))
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (*.f64 (*.f64 z z) (fma.f64 (/.f64 x z) (log.f64 (/.f64 y x)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) z)))
#s(approx (- (* x (log (/ x y))) z) (exp.f64 (*.f64 (log.f64 z) #s(literal 1 binary64))))
#s(approx (- (* x (log (/ x y))) z) (*.f64 (-.f64 (log.f64 x) (log.f64 y)) x))
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (-.f64 (log.f64 x) (log.f64 y)) x))
(-.f64 (*.f64 x (-.f64 (log.f64 x) (log.f64 y))) z)
Outputs
(fma.f64 (neg.f64 (log.f64 (/.f64 y x))) x (neg.f64 z))
#s(approx (- (* x (log (/ x y))) z) (neg.f64 z))
(-.f64 (*.f64 x (-.f64 (log.f64 x) (log.f64 y))) z)
Calls

1 calls:

11.0ms
x
Results
AccuracySegmentsBranch
92.7%3x
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes77.0ms (0.7%)

Memory
7.1MiB live, 81.3MiB allocated
Counts
32 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) 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 (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (/.f64 #s(approx (neg (* (+ (* (/ x z) (log (/ y x))) -1) (* z z))) (*.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)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (log (/ x y)) x) (neg z)) -1) (/.f64 #s(literal -1 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 (log.f64 (/.f64 x y)) x))
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (log.f64 (/.f64 x y)) x))
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) 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)
(fma.f64 (neg.f64 (log.f64 (/.f64 y x))) x (neg.f64 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)))
#s(approx (- (* x (log (/ x y))) z) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z)))))
#s(approx (- (* x (log (/ x y))) z) (/.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1 binary64)))))
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 #s(approx (+ (* (log (/ x y)) (/ x z)) -1) (*.f64 (log.f64 (/.f64 x y)) (/.f64 x z))) z))
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (fma.f64 (log.f64 (/.f64 x y)) (/.f64 x z) #s(literal -1 binary64)) z))
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (/.f64 (log.f64 (/.f64 y x)) (/.f64 #s(literal -1 binary64) x)))
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (/.f64 (neg.f64 #s(approx (* (+ (* (/ x z) (log (/ y x))) -1) (* z z)) (*.f64 (*.f64 z x) (log.f64 (/.f64 y x))))) z))
#s(approx (- (* x (log (/ x y))) z) (/.f64 (*.f64 (neg.f64 z) z) (/.f64 (pow.f64 z #s(literal 3 binary64)) (*.f64 z z))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (log (/ x y)) x) (neg z)) -1) (/.f64 #s(literal -1 binary64) (*.f64 (log.f64 (/.f64 y x)) x))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (log (/ x y)) x) (neg z)) -1) (/.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 (/.f64 x y)))))
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (/.f64 (*.f64 (fma.f64 (/.f64 x z) (log.f64 (/.f64 x y)) #s(literal 1 binary64)) (*.f64 z z)) z))
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (/.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 x z) (log.f64 (/.f64 y x)) #s(literal -1 binary64)) (*.f64 z z))) z))
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (*.f64 (*.f64 z z) (fma.f64 (/.f64 x z) (log.f64 (/.f64 y x)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) z)))
#s(approx (- (* x (log (/ x y))) z) (exp.f64 (*.f64 (log.f64 z) #s(literal 1 binary64))))
#s(approx (- (* x (log (/ x y))) z) (*.f64 (-.f64 (log.f64 x) (log.f64 y)) x))
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (-.f64 (log.f64 x) (log.f64 y)) x))
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) (*.f64 (-.f64 (log.f64 x) (log.f64 y)) x))
Calls

4 calls:

37.0ms
(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
19.0ms
y
9.0ms
x
9.0ms
(*.f64 x (log.f64 (/.f64 x y)))
Results
AccuracySegmentsBranch
89.6%3(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
89.6%3(*.f64 x (log.f64 (/.f64 x y)))
79.7%1y
89.9%4x
Compiler

Compiled 16 to 19 computations (-18.8% saved)

regimes47.0ms (0.4%)

Memory
8.9MiB live, 50.9MiB allocated
Counts
30 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) 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 (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (/.f64 #s(approx (neg (* (+ (* (/ x z) (log (/ y x))) -1) (* z z))) (*.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)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (log (/ x y)) x) (neg z)) -1) (/.f64 #s(literal -1 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 (log.f64 (/.f64 x y)) x))
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (log.f64 (/.f64 x y)) x))
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) 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)
(fma.f64 (neg.f64 (log.f64 (/.f64 y x))) x (neg.f64 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)))
#s(approx (- (* x (log (/ x y))) z) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z)))))
#s(approx (- (* x (log (/ x y))) z) (/.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1 binary64)))))
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 #s(approx (+ (* (log (/ x y)) (/ x z)) -1) (*.f64 (log.f64 (/.f64 x y)) (/.f64 x z))) z))
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (fma.f64 (log.f64 (/.f64 x y)) (/.f64 x z) #s(literal -1 binary64)) z))
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (/.f64 (log.f64 (/.f64 y x)) (/.f64 #s(literal -1 binary64) x)))
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (/.f64 (neg.f64 #s(approx (* (+ (* (/ x z) (log (/ y x))) -1) (* z z)) (*.f64 (*.f64 z x) (log.f64 (/.f64 y x))))) z))
#s(approx (- (* x (log (/ x y))) z) (/.f64 (*.f64 (neg.f64 z) z) (/.f64 (pow.f64 z #s(literal 3 binary64)) (*.f64 z z))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (log (/ x y)) x) (neg z)) -1) (/.f64 #s(literal -1 binary64) (*.f64 (log.f64 (/.f64 y x)) x))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (log (/ x y)) x) (neg z)) -1) (/.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 (/.f64 x y)))))
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (/.f64 (*.f64 (fma.f64 (/.f64 x z) (log.f64 (/.f64 x y)) #s(literal 1 binary64)) (*.f64 z z)) z))
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (/.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 x z) (log.f64 (/.f64 y x)) #s(literal -1 binary64)) (*.f64 z z))) z))
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (*.f64 (*.f64 z z) (fma.f64 (/.f64 x z) (log.f64 (/.f64 y x)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) z)))
#s(approx (- (* x (log (/ x y))) z) (exp.f64 (*.f64 (log.f64 z) #s(literal 1 binary64))))
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:

37.0ms
(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
8.0ms
(*.f64 x (log.f64 (/.f64 x y)))
Results
AccuracySegmentsBranch
88.9%3(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
88.9%3(*.f64 x (log.f64 (/.f64 x y)))
Compiler

Compiled 14 to 13 computations (7.1% saved)

regimes44.0ms (0.4%)

Memory
-9.9MiB live, 64.2MiB allocated
Counts
12 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) 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 (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (/.f64 #s(approx (neg (* (+ (* (/ x z) (log (/ y x))) -1) (* z z))) (*.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)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (log (/ x y)) x) (neg z)) -1) (/.f64 #s(literal -1 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 (log.f64 (/.f64 x y)) x))
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (log.f64 (/.f64 x y)) x))
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (neg.f64 (log.f64 (/.f64 y x))) x))
Outputs
#s(approx (- (* x (log (/ x y))) z) (neg.f64 z))
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (neg.f64 (log.f64 (/.f64 y x))) x))
#s(approx (- (* x (log (/ x y))) z) (neg.f64 z))
Calls

5 calls:

24.0ms
x
4.0ms
y
4.0ms
z
4.0ms
(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
4.0ms
(*.f64 x (log.f64 (/.f64 x y)))
Results
AccuracySegmentsBranch
54.1%3y
71.3%3z
71.0%3x
55.2%3(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
71.8%5(*.f64 x (log.f64 (/.f64 x y)))
Compiler

Compiled 17 to 22 computations (-29.4% saved)

regimes9.0ms (0.1%)

Memory
34.6MiB live, 34.6MiB allocated
Counts
11 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) 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 (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (/.f64 #s(approx (neg (* (+ (* (/ x z) (log (/ y x))) -1) (* z z))) (*.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)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (log (/ x y)) x) (neg z)) -1) (/.f64 #s(literal -1 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 (log.f64 (/.f64 x y)) x))
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (log.f64 (/.f64 x y)) x))
Outputs
#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))
Calls

2 calls:

4.0ms
x
4.0ms
z
Results
AccuracySegmentsBranch
70.1%3x
70.5%3z
Compiler

Compiled 2 to 6 computations (-200% saved)

regimes25.0ms (0.2%)

Memory
-38.2MiB live, 47.0MiB allocated
Counts
9 → 1
Calls
Call 1
Inputs
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) 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 (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (/.f64 #s(approx (neg (* (+ (* (/ x z) (log (/ y x))) -1) (* z z))) (*.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)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (log (/ x y)) x) (neg z)) -1) (/.f64 #s(literal -1 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))))
Outputs
#s(approx (- (* x (log (/ x y))) z) (neg.f64 z))
Calls

5 calls:

9.0ms
y
6.0ms
z
3.0ms
x
3.0ms
(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
3.0ms
(*.f64 x (log.f64 (/.f64 x y)))
Results
AccuracySegmentsBranch
48.0%1y
48.0%1(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
48.0%1(*.f64 x (log.f64 (/.f64 x y)))
48.0%1x
48.0%1z
Compiler

Compiled 17 to 22 computations (-29.4% saved)

regimes7.0ms (0.1%)

Memory
22.2MiB live, 22.2MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) z)
Outputs
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) z)
Calls

5 calls:

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

Compiled 17 to 22 computations (-29.4% saved)

bsearch37.0ms (0.4%)

Memory
-8.2MiB live, 67.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
34.0ms
-3.595412756897767e-301
9.229156151619269e-304
Samples
9.0ms160×0valid
8.0ms145×0invalid
Compiler

Compiled 231 to 223 computations (3.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-div: 3.0ms (32% of total)
ival-log: 3.0ms (32% of total)
ival-mult: 2.0ms (21.4% of total)
ival-sub: 1.0ms (10.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
3.4MiB live, 3.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
-3.595412756897767e-301
9.229156151619269e-304
Compiler

Compiled 211 to 213 computations (-0.9% saved)

bsearch66.0ms (0.6%)

Memory
-22.8MiB live, 69.8MiB allocated
Algorithm
binary-search
Stop Event
predicate-same
narrow-enough
narrow-enough
Steps
TimeLeftRight
3.0ms
-3.368979586682225e-300
3.712048076934728e-286
31.0ms
-3.327200284824827e-231
-2.879577864275347e-238
28.0ms
-6.457815749792536e+238
-1.8872842505327518e+238
Samples
22.0ms240×0valid
11.0ms217×0invalid
Compiler

Compiled 226 to 263 computations (-16.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-mult: 10.0ms (46.4% of total)
ival-div: 4.0ms (18.6% of total)
ival-log: 4.0ms (18.6% of total)
ival-sub: 2.0ms (9.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
binary-search
Stop Event
predicate-same
narrow-enough
Steps
TimeLeftRight
0.0ms
-3.368979586682225e-300
3.712048076934728e-286
1.0ms
-3.327200284824827e-231
-2.879577864275347e-238
Compiler

Compiled 131 to 163 computations (-24.4% saved)

bsearch1.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.044242309092728e+290
4.605581050588458e+297
0.0ms
-inf
-8.20777521123281e+306
Compiler

Compiled 11 to 13 computations (-18.2% saved)

bsearch1.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
4.605581050588458e+297
+inf
0.0ms
-inf
-8.20777521123281e+306
Compiler

Compiled 11 to 13 computations (-18.2% saved)

bsearch23.0ms (0.2%)

Memory
27.2MiB live, 27.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
11.0ms
9.003083970139286e-6
0.0002884073071814758
11.0ms
-3060069646917357.5
-95777418818275.33
Samples
13.0ms224×0valid
Compiler

Compiled 165 to 223 computations (-35.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-log: 3.0ms (40.2% of total)
ival-div: 2.0ms (26.8% of total)
ival-sub: 1.0ms (13.4% of total)
ival-mult: 1.0ms (13.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
3.4MiB live, 3.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
9.003083970139286e-6
0.0002884073071814758
1.0ms
-3060069646917357.5
-95777418818275.33
Compiler

Compiled 151 to 209 computations (-38.4% saved)

simplify29.0ms (0.3%)

Memory
-3.3MiB live, 70.3MiB allocated
Algorithm
egg-herbie
Rules
30×*-commutative-binary64-*.f64
28×+-commutative-binary64-+.f64
28×sub-neg-binary64-neg.f64-+.f64--.f64
16×neg-sub0-binary64--.f64-neg.f64
16×neg-mul-1-binary64-*.f64-neg.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
081401
1109401
2137401
3152401
4155401
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 y #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (-.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))
(if (<=.f64 y #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (-.f64 (*.f64 x (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y)))) z) (-.f64 (*.f64 x (-.f64 (log.f64 x) (log.f64 y))) z))
(if (<=.f64 x #s(literal -19000000000000001213483378617524991456800236331698898010675730328696975669560053651844463939569971320371793507100332760434252161638749695983898885330382915594840246125995144338571844885904943820576890408180035323811880050559768548830347264 binary64)) #s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y))) x)) (if (<=.f64 x #s(literal -7016531460026365/7159725979618740301104695983418709622680434793042663132360362425577766001338226039836321066456157093857339877304749930018599215189268344175111256510391144905128218576994803025566700315369744694061260002057936311868982638401684395903839696776618573824 binary64)) (fma.f64 (neg.f64 (log.f64 (/.f64 y x))) x (neg.f64 z)) (if (<=.f64 x #s(literal -6032057205060441/3016028602530220424421062271578867838525126125874252890898307532480811172246863646685486789069132871854112712507200418582406770249989531589552959798883475511096677545853948017425342019529539590198394174553047792145043723038206885734470238620775335376572758801465612196212014773714996912064944617579072807182486470656 binary64)) #s(approx (- (* x (log (/ x y))) z) (neg.f64 z)) (-.f64 (*.f64 x (-.f64 (log.f64 x) (log.f64 y))) z))))
(if (<=.f64 x #s(literal -7016531460026365/7159725979618740301104695983418709622680434793042663132360362425577766001338226039836321066456157093857339877304749930018599215189268344175111256510391144905128218576994803025566700315369744694061260002057936311868982638401684395903839696776618573824 binary64)) (fma.f64 (neg.f64 (log.f64 (/.f64 y x))) x (neg.f64 z)) (if (<=.f64 x #s(literal -6032057205060441/3016028602530220424421062271578867838525126125874252890898307532480811172246863646685486789069132871854112712507200418582406770249989531589552959798883475511096677545853948017425342019529539590198394174553047792145043723038206885734470238620775335376572758801465612196212014773714996912064944617579072807182486470656 binary64)) #s(approx (- (* x (log (/ x y))) z) (neg.f64 z)) (-.f64 (*.f64 x (-.f64 (log.f64 x) (log.f64 y))) 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 499999999999999978930451175173142066076775939048257141926258886614516577002786239313118268535951812574041306445493431857101228510021003209840763187482937088894311771724997242528629131330872974013383816137806524948480039480659075272709232330533995834790894142764502740352844098034426819117056 binary64)) (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) #s(approx (- (* x (log (/ x y))) z) (*.f64 (-.f64 (log.f64 x) (log.f64 y)) x))))
(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 4999999999999999797831017376714894119127812233696870733560457558998243835015834942700401512775872587353423939115559831572611431741498074611166071691150501229607379410134558461510763529142729843207341692956811227775656913210014077504201792814563184923802875085144633272926482892941009176900625498112 binary64)) (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) #s(approx (- (* x (log (/ x y))) z) (neg.f64 z))))
(if (<=.f64 z #s(literal -140000000000000 binary64)) #s(approx (- (* x (log (/ x y))) z) (neg.f64 z)) (if (<=.f64 z #s(literal 2434970217729661/73786976294838206464 binary64)) #s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (neg.f64 (log.f64 (/.f64 y x))) x)) #s(approx (- (* x (log (/ x y))) z) (neg.f64 z))))
(if (<=.f64 z #s(literal -140000000000000 binary64)) #s(approx (- (* x (log (/ x y))) z) (neg.f64 z)) (if (<=.f64 z #s(literal 2434970217729661/73786976294838206464 binary64)) #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) (neg.f64 z))
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) z)
Outputs
(if (<=.f64 y #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (-.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))
(if (<=.f64 y #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (-.f64 (*.f64 (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y))) x) z) (-.f64 (fma.f64 (log.f64 x) x (*.f64 (neg.f64 (log.f64 y)) 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) (-.f64 (*.f64 x (-.f64 (log.f64 x) (log.f64 y))) z))
(if (<=.f64 y #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (-.f64 (*.f64 (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y))) x) z) (-.f64 (*.f64 (-.f64 (log.f64 x) (log.f64 y)) x) z))
(if (<=.f64 x #s(literal -19000000000000001213483378617524991456800236331698898010675730328696975669560053651844463939569971320371793507100332760434252161638749695983898885330382915594840246125995144338571844885904943820576890408180035323811880050559768548830347264 binary64)) #s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y))) x)) (if (<=.f64 x #s(literal -7016531460026365/7159725979618740301104695983418709622680434793042663132360362425577766001338226039836321066456157093857339877304749930018599215189268344175111256510391144905128218576994803025566700315369744694061260002057936311868982638401684395903839696776618573824 binary64)) (fma.f64 (neg.f64 (log.f64 (/.f64 y x))) x (neg.f64 z)) (if (<=.f64 x #s(literal -6032057205060441/3016028602530220424421062271578867838525126125874252890898307532480811172246863646685486789069132871854112712507200418582406770249989531589552959798883475511096677545853948017425342019529539590198394174553047792145043723038206885734470238620775335376572758801465612196212014773714996912064944617579072807182486470656 binary64)) #s(approx (- (* x (log (/ x y))) z) (neg.f64 z)) (-.f64 (*.f64 x (-.f64 (log.f64 x) (log.f64 y))) z))))
(if (<=.f64 x #s(literal -19000000000000001213483378617524991456800236331698898010675730328696975669560053651844463939569971320371793507100332760434252161638749695983898885330382915594840246125995144338571844885904943820576890408180035323811880050559768548830347264 binary64)) #s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 y))) x)) (if (<=.f64 x #s(literal -7016531460026365/7159725979618740301104695983418709622680434793042663132360362425577766001338226039836321066456157093857339877304749930018599215189268344175111256510391144905128218576994803025566700315369744694061260002057936311868982638401684395903839696776618573824 binary64)) (fma.f64 (neg.f64 (log.f64 (/.f64 y x))) x (neg.f64 z)) (if (<=.f64 x #s(literal -6032057205060441/3016028602530220424421062271578867838525126125874252890898307532480811172246863646685486789069132871854112712507200418582406770249989531589552959798883475511096677545853948017425342019529539590198394174553047792145043723038206885734470238620775335376572758801465612196212014773714996912064944617579072807182486470656 binary64)) #s(approx (- (* x (log (/ x y))) z) (neg.f64 z)) (-.f64 (*.f64 (-.f64 (log.f64 x) (log.f64 y)) x) z))))
(if (<=.f64 x #s(literal -7016531460026365/7159725979618740301104695983418709622680434793042663132360362425577766001338226039836321066456157093857339877304749930018599215189268344175111256510391144905128218576994803025566700315369744694061260002057936311868982638401684395903839696776618573824 binary64)) (fma.f64 (neg.f64 (log.f64 (/.f64 y x))) x (neg.f64 z)) (if (<=.f64 x #s(literal -6032057205060441/3016028602530220424421062271578867838525126125874252890898307532480811172246863646685486789069132871854112712507200418582406770249989531589552959798883475511096677545853948017425342019529539590198394174553047792145043723038206885734470238620775335376572758801465612196212014773714996912064944617579072807182486470656 binary64)) #s(approx (- (* x (log (/ x y))) z) (neg.f64 z)) (-.f64 (*.f64 x (-.f64 (log.f64 x) (log.f64 y))) z)))
(if (<=.f64 x #s(literal -7016531460026365/7159725979618740301104695983418709622680434793042663132360362425577766001338226039836321066456157093857339877304749930018599215189268344175111256510391144905128218576994803025566700315369744694061260002057936311868982638401684395903839696776618573824 binary64)) (fma.f64 (neg.f64 (log.f64 (/.f64 y x))) x (neg.f64 z)) (if (<=.f64 x #s(literal -6032057205060441/3016028602530220424421062271578867838525126125874252890898307532480811172246863646685486789069132871854112712507200418582406770249989531589552959798883475511096677545853948017425342019529539590198394174553047792145043723038206885734470238620775335376572758801465612196212014773714996912064944617579072807182486470656 binary64)) #s(approx (- (* x (log (/ x y))) z) (neg.f64 z)) (-.f64 (*.f64 (-.f64 (log.f64 x) (log.f64 y)) 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 499999999999999978930451175173142066076775939048257141926258886614516577002786239313118268535951812574041306445493431857101228510021003209840763187482937088894311771724997242528629131330872974013383816137806524948480039480659075272709232330533995834790894142764502740352844098034426819117056 binary64)) (-.f64 (*.f64 x (log.f64 (/.f64 x y))) z) #s(approx (- (* x (log (/ x y))) z) (*.f64 (-.f64 (log.f64 x) (log.f64 y)) x))))
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(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 4999999999999999797831017376714894119127812233696870733560457558998243835015834942700401512775872587353423939115559831572611431741498074611166071691150501229607379410134558461510763529142729843207341692956811227775656913210014077504201792814563184923802875085144633272926482892941009176900625498112 binary64)) (-.f64 (*.f64 (log.f64 (/.f64 x y)) x) z) #s(approx (- (* x (log (/ x y))) z) (neg.f64 z))))
(if (<=.f64 z #s(literal -140000000000000 binary64)) #s(approx (- (* x (log (/ x y))) z) (neg.f64 z)) (if (<=.f64 z #s(literal 2434970217729661/73786976294838206464 binary64)) #s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (neg.f64 (log.f64 (/.f64 y x))) x)) #s(approx (- (* x (log (/ x y))) z) (neg.f64 z))))
(if (<=.f64 z #s(literal -140000000000000 binary64)) #s(approx (- (* x (log (/ x y))) z) (neg.f64 z)) (if (<=.f64 z #s(literal 2434970217729661/73786976294838206464 binary64)) #s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) (*.f64 (log.f64 (/.f64 y x)) (neg.f64 x))) #s(approx (- (* x (log (/ x y))) z) (neg.f64 z))))
(if (<=.f64 z #s(literal -140000000000000 binary64)) #s(approx (- (* x (log (/ x y))) z) (neg.f64 z)) (if (<=.f64 z #s(literal 2434970217729661/73786976294838206464 binary64)) #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) (neg.f64 z))
#s(approx (/ (+ (* (neg z) z) (pow (* (log (/ x y)) x) 2)) (+ (* (log (/ x y)) x) z)) z)

soundness1.5s (14.8%)

Memory
6.8MiB live, 1 004.0MiB allocated
Rules
13 420×lower-fma.f64
13 420×lower-fma.f32
7 838×lower-fma.f64
7 838×lower-fma.f32
6 478×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047256
078233
1284196
21933179
09636179
0721
01121
13821
223021
3206121
0839521
054775
1154719
2424719
31132719
42897719
54858719
65921719
76565719
86831719
96911719
107952719
08339719
041232
063224
1237182
21431174
08879169
05617328
116886955
260226861
086166731
032162
057125
1218125
21373125
08712125
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
node limit
iter limit
iter limit
node limit
iter limit
Compiler

Compiled 527 to 287 computations (45.5% saved)

preprocess107.0ms (1%)

Memory
8.8MiB live, 129.0MiB allocated
Compiler

Compiled 536 to 176 computations (67.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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