Statistics.Distribution.Poisson.Internal:probability from math-functions-0.1.5.2

Time bar (total: 4.6s)

start0.0ms (0%)

Memory
0.1MiB live, 0.0MiB allocated

analyze2.0ms (0%)

Memory
-37.9MiB live, 1.3MiB 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
100%49.9%0%0.1%0%49.9%0%3
Compiler

Compiled 11 to 10 computations (9.1% saved)

sample1.5s (31.2%)

Memory
-74.2MiB live, 1 349.9MiB allocated
Samples
825.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 516.0ms
ival-log: 247.0ms (47.9% of total)
ival-add: 81.0ms (15.7% of total)
ival-exp: 77.0ms (14.9% of total)
ival-mult: 61.0ms (11.8% of total)
ival-sub: 40.0ms (7.8% of total)
ival-true: 7.0ms (1.4% of total)
ival-assert: 3.0ms (0.6% of total)
Bogosity

explain162.0ms (3.5%)

Memory
3.8MiB live, 187.8MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
00-0-(*.f64 y (log.f64 y))
00-0-(log.f64 y)
00-0-y
00-0-(+.f64 x (*.f64 y (log.f64 y)))
00-0-(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
00-0-z
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
63.0ms512×0valid
Compiler

Compiled 77 to 28 computations (63.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 45.0ms
ival-log: 32.0ms (71.7% of total)
ival-exp: 4.0ms (9% of total)
ival-mult: 4.0ms (9% of total)
ival-sub: 2.0ms (4.5% of total)
ival-add: 2.0ms (4.5% of total)
ival-true: 1.0ms (2.2% of total)
ival-assert: 0.0ms (0% of total)

preprocess247.0ms (5.3%)

Memory
-4.2MiB live, 81.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03592
19686
225181
373677
4161977
5272177
6380277
7452577
8504577
9538277
10550477
11554577
12559377
13574677
14650777
15653177
16653177
089
0139
1229
2418
3828
41308
52048
63738
76648
88718
910088
1010978
1111568
1213068
1313098
1413108
013108
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
Outputs
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
(exp.f64 (-.f64 (fma.f64 (log.f64 y) y x) z))
Compiler

Compiled 9 to 8 computations (11.1% saved)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify117.0ms (2.5%)

Memory
2.5MiB live, 36.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y (log.f64 y))
cost-diff0
(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
cost-diff0
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
cost-diff128
(+.f64 x (*.f64 y (log.f64 y)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0832
01332
12232
24131
38231
413031
520431
637331
766431
887131
9100831
10109731
11115631
12130631
13130931
14131031
0131029
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
(+.f64 x (*.f64 y (log.f64 y)))
x
(*.f64 y (log.f64 y))
y
(log.f64 y)
z
Outputs
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
(exp.f64 (-.f64 (fma.f64 (log.f64 y) y x) z))
(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
(-.f64 (fma.f64 (log.f64 y) y x) z)
(+.f64 x (*.f64 y (log.f64 y)))
(fma.f64 (log.f64 y) y x)
x
(*.f64 y (log.f64 y))
(*.f64 (log.f64 y) y)
y
(log.f64 y)
z

localize30.0ms (0.7%)

Memory
19.3MiB live, 57.6MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(log.f64 y)
accuracy0
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
accuracy0.01171875
(+.f64 x (*.f64 y (log.f64 y)))
accuracy0.26953125
(*.f64 y (log.f64 y))
Samples
23.0ms256×0valid
Compiler

Compiled 34 to 10 computations (70.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-log: 9.0ms (58.4% of total)
ival-exp: 2.0ms (13% of total)
ival-mult: 2.0ms (13% of total)
ival-sub: 1.0ms (6.5% of total)
ival-add: 1.0ms (6.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series127.0ms (2.7%)

Memory
-36.2MiB live, 180.6MiB allocated
Counts
5 → 120
Calls
Call 1
Inputs
#s(alt (+.f64 x (*.f64 y (log.f64 y))) (patch (+.f64 x (*.f64 y (log.f64 y))) #<representation binary64>) () ())
#s(alt (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) (patch (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) #<representation binary64>) () ())
#s(alt (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) (patch (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) #<representation binary64>) () ())
#s(alt (*.f64 y (log.f64 y)) (patch (*.f64 y (log.f64 y)) #<representation binary64>) () ())
#s(alt (log.f64 y) (patch (log.f64 y) #<representation binary64>) () ())
Outputs
#s(alt (exp (+ x (* y (log y)))) (taylor 0 z) (#s(alt (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) (patch (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) #<representation binary64>) () ())) ())
#s(alt (+ (exp (+ x (* y (log y)))) (* -1 (* z (exp (+ x (* y (log y))))))) (taylor 0 z) (#s(alt (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) (patch (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) #<representation binary64>) () ())) ())
#s(alt (+ (exp (+ x (* y (log y)))) (* z (+ (* -1 (exp (+ x (* y (log y))))) (* 1/2 (* z (exp (+ x (* y (log y))))))))) (taylor 0 z) (#s(alt (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) (patch (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) #<representation binary64>) () ())) ())
#s(alt (+ (exp (+ x (* y (log y)))) (* z (+ (* -1 (exp (+ x (* y (log y))))) (* z (+ (* -1/6 (* z (exp (+ x (* y (log y)))))) (* 1/2 (exp (+ x (* y (log y)))))))))) (taylor 0 z) (#s(alt (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) (patch (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (log y))) (taylor 0 z) (#s(alt (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) (patch (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* -1 z) (* y (log y)))) (taylor 0 z) (#s(alt (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) (patch (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* -1 z) (* y (log y)))) (taylor 0 z) (#s(alt (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) (patch (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* -1 z) (* y (log y)))) (taylor 0 z) (#s(alt (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) (patch (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) #<representation binary64>) () ())) ())
#s(alt (exp (- (+ x (* y (log y))) z)) (taylor inf z) (#s(alt (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) (patch (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) #<representation binary64>) () ())) ())
#s(alt (exp (- (+ x (* y (log y))) z)) (taylor inf z) (#s(alt (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) (patch (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) #<representation binary64>) () ())) ())
#s(alt (exp (- (+ x (* y (log y))) z)) (taylor inf z) (#s(alt (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) (patch (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) #<representation binary64>) () ())) ())
#s(alt (exp (- (+ x (* y (log y))) z)) (taylor inf z) (#s(alt (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) (patch (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) (patch (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ (/ x z) (/ (* y (log y)) z)) 1)) (taylor inf z) (#s(alt (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) (patch (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ (/ x z) (/ (* y (log y)) z)) 1)) (taylor inf z) (#s(alt (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) (patch (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ (/ x z) (/ (* y (log y)) z)) 1)) (taylor inf z) (#s(alt (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) (patch (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) #<representation binary64>) () ())) ())
#s(alt (exp (+ x (+ (* -1 z) (* y (log y))))) (taylor -inf z) (#s(alt (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) (patch (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) #<representation binary64>) () ())) ())
#s(alt (exp (+ x (+ (* -1 z) (* y (log y))))) (taylor -inf z) (#s(alt (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) (patch (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) #<representation binary64>) () ())) ())
#s(alt (exp (+ x (+ (* -1 z) (* y (log y))))) (taylor -inf z) (#s(alt (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) (patch (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) #<representation binary64>) () ())) ())
#s(alt (exp (+ x (+ (* -1 z) (* y (log y))))) (taylor -inf z) (#s(alt (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) (patch (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor -inf z) (#s(alt (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) (patch (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ 1 (* -1 (/ (+ x (* y (log y))) z))))) (taylor -inf z) (#s(alt (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) (patch (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ 1 (* -1 (/ (+ x (* y (log y))) z))))) (taylor -inf z) (#s(alt (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) (patch (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ 1 (* -1 (/ (+ x (* y (log y))) z))))) (taylor -inf z) (#s(alt (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) (patch (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (+.f64 x (*.f64 y (log.f64 y))) (patch (+.f64 x (*.f64 y (log.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (log y))) (taylor 0 y) (#s(alt (+.f64 x (*.f64 y (log.f64 y))) (patch (+.f64 x (*.f64 y (log.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (log y))) (taylor 0 y) (#s(alt (+.f64 x (*.f64 y (log.f64 y))) (patch (+.f64 x (*.f64 y (log.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (log y))) (taylor 0 y) (#s(alt (+.f64 x (*.f64 y (log.f64 y))) (patch (+.f64 x (*.f64 y (log.f64 y))) #<representation binary64>) () ())) ())
#s(alt (exp (- x z)) (taylor 0 y) (#s(alt (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) (patch (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) #<representation binary64>) () ())) ())
#s(alt (+ (exp (- x z)) (* y (* (exp (- x z)) (log y)))) (taylor 0 y) (#s(alt (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) (patch (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) #<representation binary64>) () ())) ())
#s(alt (+ (exp (- x z)) (* y (+ (* 1/2 (* y (* (exp (- x z)) (pow (log y) 2)))) (* (exp (- x z)) (log y))))) (taylor 0 y) (#s(alt (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) (patch (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) #<representation binary64>) () ())) ())
#s(alt (+ (exp (- x z)) (* y (+ (* y (+ (* 1/6 (* y (* (exp (- x z)) (pow (log y) 3)))) (* 1/2 (* (exp (- x z)) (pow (log y) 2))))) (* (exp (- x z)) (log y))))) (taylor 0 y) (#s(alt (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) (patch (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) #<representation binary64>) () ())) ())
#s(alt (- x z) (taylor 0 y) (#s(alt (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) (patch (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* y (log y))) z) (taylor 0 y) (#s(alt (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) (patch (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* y (log y))) z) (taylor 0 y) (#s(alt (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) (patch (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* y (log y))) z) (taylor 0 y) (#s(alt (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) (patch (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) #<representation binary64>) () ())) ())
#s(alt (* y (log y)) (taylor 0 y) (#s(alt (*.f64 y (log.f64 y)) (patch (*.f64 y (log.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* y (log y)) (taylor 0 y) (#s(alt (*.f64 y (log.f64 y)) (patch (*.f64 y (log.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* y (log y)) (taylor 0 y) (#s(alt (*.f64 y (log.f64 y)) (patch (*.f64 y (log.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* y (log y)) (taylor 0 y) (#s(alt (*.f64 y (log.f64 y)) (patch (*.f64 y (log.f64 y)) #<representation binary64>) () ())) ())
#s(alt (log y) (taylor 0 y) (#s(alt (log.f64 y) (patch (log.f64 y) #<representation binary64>) () ())) ())
#s(alt (log y) (taylor 0 y) (#s(alt (log.f64 y) (patch (log.f64 y) #<representation binary64>) () ())) ())
#s(alt (log y) (taylor 0 y) (#s(alt (log.f64 y) (patch (log.f64 y) #<representation binary64>) () ())) ())
#s(alt (log y) (taylor 0 y) (#s(alt (log.f64 y) (patch (log.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (log (/ 1 y)))) (taylor inf y) (#s(alt (+.f64 x (*.f64 y (log.f64 y))) (patch (+.f64 x (*.f64 y (log.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 (log (/ 1 y))) (/ x y))) (taylor inf y) (#s(alt (+.f64 x (*.f64 y (log.f64 y))) (patch (+.f64 x (*.f64 y (log.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 (log (/ 1 y))) (/ x y))) (taylor inf y) (#s(alt (+.f64 x (*.f64 y (log.f64 y))) (patch (+.f64 x (*.f64 y (log.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 (log (/ 1 y))) (/ x y))) (taylor inf y) (#s(alt (+.f64 x (*.f64 y (log.f64 y))) (patch (+.f64 x (*.f64 y (log.f64 y))) #<representation binary64>) () ())) ())
#s(alt (exp (- (+ x (* y (log y))) z)) (taylor inf y) (#s(alt (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) (patch (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) #<representation binary64>) () ())) ())
#s(alt (exp (- (+ x (* y (log y))) z)) (taylor inf y) (#s(alt (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) (patch (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) #<representation binary64>) () ())) ())
#s(alt (exp (- (+ x (* y (log y))) z)) (taylor inf y) (#s(alt (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) (patch (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) #<representation binary64>) () ())) ())
#s(alt (exp (- (+ x (* y (log y))) z)) (taylor inf y) (#s(alt (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) (patch (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (log (/ 1 y)))) (taylor inf y) (#s(alt (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) (patch (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ (* -1 (log (/ 1 y))) (/ x y)) (/ z y))) (taylor inf y) (#s(alt (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) (patch (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ (* -1 (log (/ 1 y))) (/ x y)) (/ z y))) (taylor inf y) (#s(alt (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) (patch (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ (* -1 (log (/ 1 y))) (/ x y)) (/ z y))) (taylor inf y) (#s(alt (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) (patch (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (log (/ 1 y)))) (taylor inf y) (#s(alt (*.f64 y (log.f64 y)) (patch (*.f64 y (log.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (log (/ 1 y)))) (taylor inf y) (#s(alt (*.f64 y (log.f64 y)) (patch (*.f64 y (log.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (log (/ 1 y)))) (taylor inf y) (#s(alt (*.f64 y (log.f64 y)) (patch (*.f64 y (log.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (log (/ 1 y)))) (taylor inf y) (#s(alt (*.f64 y (log.f64 y)) (patch (*.f64 y (log.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (/ 1 y))) (taylor inf y) (#s(alt (log.f64 y) (patch (log.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (/ 1 y))) (taylor inf y) (#s(alt (log.f64 y) (patch (log.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (/ 1 y))) (taylor inf y) (#s(alt (log.f64 y) (patch (log.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (/ 1 y))) (taylor inf y) (#s(alt (log.f64 y) (patch (log.f64 y) #<representation binary64>) () ())) ())
#s(alt (* y (+ (log -1) (* -1 (log (/ -1 y))))) (taylor -inf y) (#s(alt (+.f64 x (*.f64 y (log.f64 y))) (patch (+.f64 x (*.f64 y (log.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ x y))))) (taylor -inf y) (#s(alt (+.f64 x (*.f64 y (log.f64 y))) (patch (+.f64 x (*.f64 y (log.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ x y))))) (taylor -inf y) (#s(alt (+.f64 x (*.f64 y (log.f64 y))) (patch (+.f64 x (*.f64 y (log.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ x y))))) (taylor -inf y) (#s(alt (+.f64 x (*.f64 y (log.f64 y))) (patch (+.f64 x (*.f64 y (log.f64 y))) #<representation binary64>) () ())) ())
#s(alt (exp (- (+ x (* y (log y))) z)) (taylor -inf y) (#s(alt (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) (patch (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) #<representation binary64>) () ())) ())
#s(alt (exp (- (+ x (* y (log y))) z)) (taylor -inf y) (#s(alt (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) (patch (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) #<representation binary64>) () ())) ())
#s(alt (exp (- (+ x (* y (log y))) z)) (taylor -inf y) (#s(alt (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) (patch (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) #<representation binary64>) () ())) ())
#s(alt (exp (- (+ x (* y (log y))) z)) (taylor -inf y) (#s(alt (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) (patch (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) #<representation binary64>) () ())) ())
#s(alt (* y (+ (log -1) (* -1 (log (/ -1 y))))) (taylor -inf y) (#s(alt (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) (patch (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ (- x z) y))))) (taylor -inf y) (#s(alt (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) (patch (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ (- x z) y))))) (taylor -inf y) (#s(alt (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) (patch (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ (- x z) y))))) (taylor -inf y) (#s(alt (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) (patch (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) #<representation binary64>) () ())) ())
#s(alt (* y (+ (log -1) (* -1 (log (/ -1 y))))) (taylor -inf y) (#s(alt (*.f64 y (log.f64 y)) (patch (*.f64 y (log.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ (log -1) (* -1 (log (/ -1 y))))) (taylor -inf y) (#s(alt (*.f64 y (log.f64 y)) (patch (*.f64 y (log.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ (log -1) (* -1 (log (/ -1 y))))) (taylor -inf y) (#s(alt (*.f64 y (log.f64 y)) (patch (*.f64 y (log.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ (log -1) (* -1 (log (/ -1 y))))) (taylor -inf y) (#s(alt (*.f64 y (log.f64 y)) (patch (*.f64 y (log.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (* -1 (log (/ -1 y)))) (taylor -inf y) (#s(alt (log.f64 y) (patch (log.f64 y) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (* -1 (log (/ -1 y)))) (taylor -inf y) (#s(alt (log.f64 y) (patch (log.f64 y) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (* -1 (log (/ -1 y)))) (taylor -inf y) (#s(alt (log.f64 y) (patch (log.f64 y) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (* -1 (log (/ -1 y)))) (taylor -inf y) (#s(alt (log.f64 y) (patch (log.f64 y) #<representation binary64>) () ())) ())
#s(alt (* y (log y)) (taylor 0 x) (#s(alt (+.f64 x (*.f64 y (log.f64 y))) (patch (+.f64 x (*.f64 y (log.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (log y))) (taylor 0 x) (#s(alt (+.f64 x (*.f64 y (log.f64 y))) (patch (+.f64 x (*.f64 y (log.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (log y))) (taylor 0 x) (#s(alt (+.f64 x (*.f64 y (log.f64 y))) (patch (+.f64 x (*.f64 y (log.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (log y))) (taylor 0 x) (#s(alt (+.f64 x (*.f64 y (log.f64 y))) (patch (+.f64 x (*.f64 y (log.f64 y))) #<representation binary64>) () ())) ())
#s(alt (exp (- (* y (log y)) z)) (taylor 0 x) (#s(alt (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) (patch (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) #<representation binary64>) () ())) ())
#s(alt (+ (exp (- (* y (log y)) z)) (* x (exp (- (* y (log y)) z)))) (taylor 0 x) (#s(alt (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) (patch (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) #<representation binary64>) () ())) ())
#s(alt (+ (exp (- (* y (log y)) z)) (* x (+ (exp (- (* y (log y)) z)) (* 1/2 (* x (exp (- (* y (log y)) z))))))) (taylor 0 x) (#s(alt (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) (patch (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) #<representation binary64>) () ())) ())
#s(alt (+ (exp (- (* y (log y)) z)) (* x (+ (exp (- (* y (log y)) z)) (* x (+ (* 1/6 (* x (exp (- (* y (log y)) z)))) (* 1/2 (exp (- (* y (log y)) z)))))))) (taylor 0 x) (#s(alt (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) (patch (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) #<representation binary64>) () ())) ())
#s(alt (- (* y (log y)) z) (taylor 0 x) (#s(alt (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) (patch (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* y (log y))) z) (taylor 0 x) (#s(alt (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) (patch (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* y (log y))) z) (taylor 0 x) (#s(alt (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) (patch (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* y (log y))) z) (taylor 0 x) (#s(alt (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) (patch (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (+.f64 x (*.f64 y (log.f64 y))) (patch (+.f64 x (*.f64 y (log.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ (* y (log y)) x))) (taylor inf x) (#s(alt (+.f64 x (*.f64 y (log.f64 y))) (patch (+.f64 x (*.f64 y (log.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ (* y (log y)) x))) (taylor inf x) (#s(alt (+.f64 x (*.f64 y (log.f64 y))) (patch (+.f64 x (*.f64 y (log.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ (* y (log y)) x))) (taylor inf x) (#s(alt (+.f64 x (*.f64 y (log.f64 y))) (patch (+.f64 x (*.f64 y (log.f64 y))) #<representation binary64>) () ())) ())
#s(alt (exp (- (+ x (* y (log y))) z)) (taylor inf x) (#s(alt (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) (patch (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) #<representation binary64>) () ())) ())
#s(alt (exp (- (+ x (* y (log y))) z)) (taylor inf x) (#s(alt (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) (patch (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) #<representation binary64>) () ())) ())
#s(alt (exp (- (+ x (* y (log y))) z)) (taylor inf x) (#s(alt (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) (patch (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) #<representation binary64>) () ())) ())
#s(alt (exp (- (+ x (* y (log y))) z)) (taylor inf x) (#s(alt (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) (patch (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) (patch (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (/ (* y (log y)) x)) (/ z x))) (taylor inf x) (#s(alt (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) (patch (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (/ (* y (log y)) x)) (/ z x))) (taylor inf x) (#s(alt (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) (patch (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (/ (* y (log y)) x)) (/ z x))) (taylor inf x) (#s(alt (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) (patch (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 x (*.f64 y (log.f64 y))) (patch (+.f64 x (*.f64 y (log.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y (log y)) x)) 1))) (taylor -inf x) (#s(alt (+.f64 x (*.f64 y (log.f64 y))) (patch (+.f64 x (*.f64 y (log.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y (log y)) x)) 1))) (taylor -inf x) (#s(alt (+.f64 x (*.f64 y (log.f64 y))) (patch (+.f64 x (*.f64 y (log.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (* y (log y)) x)) 1))) (taylor -inf x) (#s(alt (+.f64 x (*.f64 y (log.f64 y))) (patch (+.f64 x (*.f64 y (log.f64 y))) #<representation binary64>) () ())) ())
#s(alt (exp (- (* y (log y)) (+ z (* -1 x)))) (taylor -inf x) (#s(alt (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) (patch (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) #<representation binary64>) () ())) ())
#s(alt (exp (- (* y (log y)) (+ z (* -1 x)))) (taylor -inf x) (#s(alt (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) (patch (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) #<representation binary64>) () ())) ())
#s(alt (exp (- (* y (log y)) (+ z (* -1 x)))) (taylor -inf x) (#s(alt (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) (patch (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) #<representation binary64>) () ())) ())
#s(alt (exp (- (* y (log y)) (+ z (* -1 x)))) (taylor -inf x) (#s(alt (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) (patch (exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) (patch (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (* y (log y)) z) x)) 1))) (taylor -inf x) (#s(alt (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) (patch (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (* y (log y)) z) x)) 1))) (taylor -inf x) (#s(alt (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) (patch (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (* y (log y)) z) x)) 1))) (taylor -inf x) (#s(alt (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) (patch (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
43.0ms
y
@0
((+ x (* y (log y))) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (* y (log y)) (log y))
29.0ms
z
@0
((+ x (* y (log y))) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (* y (log y)) (log y))
22.0ms
y
@inf
((+ x (* y (log y))) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (* y (log y)) (log y))
17.0ms
y
@-inf
((+ x (* y (log y))) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (* y (log y)) (log y))
8.0ms
x
@inf
((+ x (* y (log y))) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (* y (log y)) (log y))

simplify411.0ms (8.8%)

Memory
10.9MiB live, 228.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01281055
1407954
21245919
34149887
08320829
Stop Event
iter limit
node limit
Counts
120 → 115
Calls
Call 1
Inputs
(exp (+ x (* y (log y))))
(+ (exp (+ x (* y (log y)))) (* -1 (* z (exp (+ x (* y (log y)))))))
(+ (exp (+ x (* y (log y)))) (* z (+ (* -1 (exp (+ x (* y (log y))))) (* 1/2 (* z (exp (+ x (* y (log y)))))))))
(+ (exp (+ x (* y (log y)))) (* z (+ (* -1 (exp (+ x (* y (log y))))) (* z (+ (* -1/6 (* z (exp (+ x (* y (log y)))))) (* 1/2 (exp (+ x (* y (log y))))))))))
(+ x (* y (log y)))
(+ x (+ (* -1 z) (* y (log y))))
(+ x (+ (* -1 z) (* y (log y))))
(+ x (+ (* -1 z) (* y (log y))))
(exp (- (+ x (* y (log y))) z))
(exp (- (+ x (* y (log y))) z))
(exp (- (+ x (* y (log y))) z))
(exp (- (+ x (* y (log y))) z))
(* -1 z)
(* z (- (+ (/ x z) (/ (* y (log y)) z)) 1))
(* z (- (+ (/ x z) (/ (* y (log y)) z)) 1))
(* z (- (+ (/ x z) (/ (* y (log y)) z)) 1))
(exp (+ x (+ (* -1 z) (* y (log y)))))
(exp (+ x (+ (* -1 z) (* y (log y)))))
(exp (+ x (+ (* -1 z) (* y (log y)))))
(exp (+ x (+ (* -1 z) (* y (log y)))))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ (+ x (* y (log y))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ x (* y (log y))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ x (* y (log y))) z)))))
x
(+ x (* y (log y)))
(+ x (* y (log y)))
(+ x (* y (log y)))
(exp (- x z))
(+ (exp (- x z)) (* y (* (exp (- x z)) (log y))))
(+ (exp (- x z)) (* y (+ (* 1/2 (* y (* (exp (- x z)) (pow (log y) 2)))) (* (exp (- x z)) (log y)))))
(+ (exp (- x z)) (* y (+ (* y (+ (* 1/6 (* y (* (exp (- x z)) (pow (log y) 3)))) (* 1/2 (* (exp (- x z)) (pow (log y) 2))))) (* (exp (- x z)) (log y)))))
(- x z)
(- (+ x (* y (log y))) z)
(- (+ x (* y (log y))) z)
(- (+ x (* y (log y))) z)
(* y (log y))
(* y (log y))
(* y (log y))
(* y (log y))
(log y)
(log y)
(log y)
(log y)
(* -1 (* y (log (/ 1 y))))
(* y (+ (* -1 (log (/ 1 y))) (/ x y)))
(* y (+ (* -1 (log (/ 1 y))) (/ x y)))
(* y (+ (* -1 (log (/ 1 y))) (/ x y)))
(exp (- (+ x (* y (log y))) z))
(exp (- (+ x (* y (log y))) z))
(exp (- (+ x (* y (log y))) z))
(exp (- (+ x (* y (log y))) z))
(* -1 (* y (log (/ 1 y))))
(* y (- (+ (* -1 (log (/ 1 y))) (/ x y)) (/ z y)))
(* y (- (+ (* -1 (log (/ 1 y))) (/ x y)) (/ z y)))
(* y (- (+ (* -1 (log (/ 1 y))) (/ x y)) (/ z y)))
(* -1 (* y (log (/ 1 y))))
(* -1 (* y (log (/ 1 y))))
(* -1 (* y (log (/ 1 y))))
(* -1 (* y (log (/ 1 y))))
(* -1 (log (/ 1 y)))
(* -1 (log (/ 1 y)))
(* -1 (log (/ 1 y)))
(* -1 (log (/ 1 y)))
(* y (+ (log -1) (* -1 (log (/ -1 y)))))
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ x y)))))
(exp (- (+ x (* y (log y))) z))
(exp (- (+ x (* y (log y))) z))
(exp (- (+ x (* y (log y))) z))
(exp (- (+ x (* y (log y))) z))
(* y (+ (log -1) (* -1 (log (/ -1 y)))))
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ (- x z) y)))))
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ (- x z) y)))))
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ (- x z) y)))))
(* y (+ (log -1) (* -1 (log (/ -1 y)))))
(* y (+ (log -1) (* -1 (log (/ -1 y)))))
(* y (+ (log -1) (* -1 (log (/ -1 y)))))
(* y (+ (log -1) (* -1 (log (/ -1 y)))))
(+ (log -1) (* -1 (log (/ -1 y))))
(+ (log -1) (* -1 (log (/ -1 y))))
(+ (log -1) (* -1 (log (/ -1 y))))
(+ (log -1) (* -1 (log (/ -1 y))))
(* y (log y))
(+ x (* y (log y)))
(+ x (* y (log y)))
(+ x (* y (log y)))
(exp (- (* y (log y)) z))
(+ (exp (- (* y (log y)) z)) (* x (exp (- (* y (log y)) z))))
(+ (exp (- (* y (log y)) z)) (* x (+ (exp (- (* y (log y)) z)) (* 1/2 (* x (exp (- (* y (log y)) z)))))))
(+ (exp (- (* y (log y)) z)) (* x (+ (exp (- (* y (log y)) z)) (* x (+ (* 1/6 (* x (exp (- (* y (log y)) z)))) (* 1/2 (exp (- (* y (log y)) z))))))))
(- (* y (log y)) z)
(- (+ x (* y (log y))) z)
(- (+ x (* y (log y))) z)
(- (+ x (* y (log y))) z)
x
(* x (+ 1 (/ (* y (log y)) x)))
(* x (+ 1 (/ (* y (log y)) x)))
(* x (+ 1 (/ (* y (log y)) x)))
(exp (- (+ x (* y (log y))) z))
(exp (- (+ x (* y (log y))) z))
(exp (- (+ x (* y (log y))) z))
(exp (- (+ x (* y (log y))) z))
x
(* x (- (+ 1 (/ (* y (log y)) x)) (/ z x)))
(* x (- (+ 1 (/ (* y (log y)) x)) (/ z x)))
(* x (- (+ 1 (/ (* y (log y)) x)) (/ z x)))
x
(* -1 (* x (- (* -1 (/ (* y (log y)) x)) 1)))
(* -1 (* x (- (* -1 (/ (* y (log y)) x)) 1)))
(* -1 (* x (- (* -1 (/ (* y (log y)) x)) 1)))
(exp (- (* y (log y)) (+ z (* -1 x))))
(exp (- (* y (log y)) (+ z (* -1 x))))
(exp (- (* y (log y)) (+ z (* -1 x))))
(exp (- (* y (log y)) (+ z (* -1 x))))
x
(* -1 (* x (- (* -1 (/ (- (* y (log y)) z) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* y (log y)) z) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* y (log y)) z) x)) 1)))
Outputs
(exp (+ x (* y (log y))))
(*.f64 (pow.f64 y y) (exp.f64 x))
(+ (exp (+ x (* y (log y)))) (* -1 (* z (exp (+ x (* y (log y)))))))
(*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (pow.f64 y y) (exp.f64 x)))
(+ (exp (+ x (* y (log y)))) (* z (+ (* -1 (exp (+ x (* y (log y))))) (* 1/2 (* z (exp (+ x (* y (log y)))))))))
(*.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (fma.f64 (*.f64 z z) #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) z)))
(+ (exp (+ x (* y (log y)))) (* z (+ (* -1 (exp (+ x (* y (log y))))) (* z (+ (* -1/6 (* z (exp (+ x (* y (log y)))))) (* 1/2 (exp (+ x (* y (log y))))))))))
(*.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (fma.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) (*.f64 z z) (-.f64 #s(literal 1 binary64) z)))
(+ x (* y (log y)))
(fma.f64 (log.f64 y) y x)
(+ x (+ (* -1 z) (* y (log y))))
(-.f64 (fma.f64 (log.f64 y) y x) z)
(+ x (+ (* -1 z) (* y (log y))))
(-.f64 (fma.f64 (log.f64 y) y x) z)
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(* y (+ (log -1) (* -1 (log (/ -1 y)))))
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(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ (- x z) y)))))
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(fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) y (-.f64 x z))
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(*.f64 (log.f64 y) y)
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(*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (pow.f64 y y) (exp.f64 z)))
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(*.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (+.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x))
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(*.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) (*.f64 x x) (+.f64 #s(literal 1 binary64) x)))
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x
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x
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(* -1 (* x (- (* -1 (/ (* y (log y)) x)) 1)))
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(exp (- (* y (log y)) (+ z (* -1 x))))
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(exp (- (* y (log y)) (+ z (* -1 x))))
(exp.f64 (-.f64 (fma.f64 (log.f64 y) y x) z))
x
(* -1 (* x (- (* -1 (/ (- (* y (log y)) z) x)) 1)))
(-.f64 (fma.f64 (log.f64 y) y x) z)
(* -1 (* x (- (* -1 (/ (- (* y (log y)) z) x)) 1)))
(-.f64 (fma.f64 (log.f64 y) y x) z)
(* -1 (* x (- (* -1 (/ (- (* y (log y)) z) x)) 1)))
(-.f64 (fma.f64 (log.f64 y) y x) z)

rewrite147.0ms (3.2%)

Memory
34.8MiB live, 227.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0829
01329
14729
237628
3551228
0836726
Stop Event
iter limit
node limit
iter limit
Counts
5 → 221
Calls
Call 1
Inputs
(+.f64 x (*.f64 y (log.f64 y)))
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
(*.f64 y (log.f64 y))
(log.f64 y)
Outputs
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eval178.0ms (3.8%)

Memory
-33.7MiB live, 131.8MiB allocated
Compiler

Compiled 7 582 to 908 computations (88% saved)

prune6.0ms (0.1%)

Memory
17.5MiB live, 17.5MiB allocated
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New3333336
Fresh000
Picked101
Done000
Total3343337
Accuracy
100.0%
Counts
337 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
75.3%
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z)))
60.7%
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y)))
47.5%
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z)))
Compiler

Compiled 15 to 19 computations (-26.7% saved)

simplify17.0ms (0.4%)

Memory
14.3MiB live, 14.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 x z)
cost-diff0
#s(approx (- (+ x (* y (log y))) z) (-.f64 x z))
cost-diff0
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z)))
cost-diff0
(log.f64 y)
cost-diff0
(*.f64 (log.f64 y) y)
cost-diff0
#s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y))
cost-diff0
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y)))
cost-diff0
(neg.f64 z)
cost-diff0
#s(approx (- (+ x (* y (log y))) z) (neg.f64 z))
cost-diff0
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01790
02490
13490
24590
36590
49790
515090
625390
742090
856690
961990
1064590
064584
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z)))
#s(approx (- (+ x (* y (log y))) z) (neg.f64 z))
(neg.f64 z)
z
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y)))
#s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y))
(*.f64 (log.f64 y) y)
(log.f64 y)
y
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z)))
#s(approx (- (+ x (* y (log y))) z) (-.f64 x z))
(-.f64 x z)
x
z
Outputs
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z)))
#s(approx (- (+ x (* y (log y))) z) (neg.f64 z))
(neg.f64 z)
z
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y)))
#s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y))
(*.f64 (log.f64 y) y)
(log.f64 y)
y
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z)))
#s(approx (- (+ x (* y (log y))) z) (-.f64 x z))
(-.f64 x z)
x
z

localize325.0ms (7%)

Memory
-26.5MiB live, 49.7MiB allocated
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f64 x z)
accuracy0
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z)))
accuracy26.786745907101047
#s(approx (- (+ x (* y (log y))) z) (-.f64 x z))
accuracy0
(log.f64 y)
accuracy0
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y)))
accuracy0.26953125
(*.f64 (log.f64 y) y)
accuracy36.85637085207064
#s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y))
accuracy0
(neg.f64 z)
accuracy0
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z)))
accuracy45.214782640174974
#s(approx (- (+ x (* y (log y))) z) (neg.f64 z))
Samples
243.0ms256×0valid
Compiler

Compiled 68 to 13 computations (80.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 232.0ms
ival-sub: 221.0ms (95.1% of total)
ival-log: 3.0ms (1.3% of total)
ival-mult: 3.0ms (1.3% of total)
ival-exp: 2.0ms (0.9% of total)
ival-add: 1.0ms (0.4% of total)
ival-neg: 1.0ms (0.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series261.0ms (5.6%)

Memory
52.3MiB live, 115.3MiB allocated
Counts
10 → 276
Calls
Call 1
Inputs
#s(alt (exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z))) #<representation binary64>) () ())
#s(alt #s(approx (- (+ x (* y (log y))) z) (neg.f64 z)) (patch #s(approx (- (+ x (* y (log y))) z) (neg.f64 z)) #<representation binary64>) () ())
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())
#s(alt (exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y))) #<representation binary64>) () ())
#s(alt #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y)) (patch #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y)) #<representation binary64>) () ())
#s(alt (*.f64 (log.f64 y) y) (patch (*.f64 (log.f64 y) y) #<representation binary64>) () ())
#s(alt (log.f64 y) (patch (log.f64 y) #<representation binary64>) () ())
#s(alt (exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z))) #<representation binary64>) () ())
#s(alt #s(approx (- (+ x (* y (log y))) z) (-.f64 x z)) (patch #s(approx (- (+ x (* y (log y))) z) (-.f64 x z)) #<representation binary64>) () ())
#s(alt (-.f64 x z) (patch (-.f64 x z) #<representation binary64>) () ())
Outputs
#s(alt (exp (+ x (* y (log y)))) (taylor 0 z) (#s(alt (exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (+ (exp (+ x (* y (log y)))) (* -1 (* z (exp (+ x (* y (log y))))))) (taylor 0 z) (#s(alt (exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (+ (exp (+ x (* y (log y)))) (* z (+ (* -1 (exp (+ x (* y (log y))))) (* 1/2 (* z (exp (+ x (* y (log y))))))))) (taylor 0 z) (#s(alt (exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (+ (exp (+ x (* y (log y)))) (* z (+ (* -1 (exp (+ x (* y (log y))))) (* z (+ (* -1/6 (* z (exp (+ x (* y (log y)))))) (* 1/2 (exp (+ x (* y (log y)))))))))) (taylor 0 z) (#s(alt (exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (log y))) (taylor 0 z) (#s(alt #s(approx (- (+ x (* y (log y))) z) (neg.f64 z)) (patch #s(approx (- (+ x (* y (log y))) z) (neg.f64 z)) #<representation binary64>) () ())) ())
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#s(alt (+ x (+ (* -1 z) (* y (log y)))) (taylor 0 z) (#s(alt #s(approx (- (+ x (* y (log y))) z) (neg.f64 z)) (patch #s(approx (- (+ x (* y (log y))) z) (neg.f64 z)) #<representation binary64>) () ())) ())
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#s(alt (+ (exp (+ x (* y (log y)))) (* z (+ (* -1 (exp (+ x (* y (log y))))) (* z (+ (* -1/6 (* z (exp (+ x (* y (log y)))))) (* 1/2 (exp (+ x (* y (log y)))))))))) (taylor 0 z) (#s(alt (exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (log y))) (taylor 0 z) (#s(alt #s(approx (- (+ x (* y (log y))) z) (-.f64 x z)) (patch #s(approx (- (+ x (* y (log y))) z) (-.f64 x z)) #<representation binary64>) () ())) ())
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#s(alt (+ x (+ (* -1 z) (* y (log y)))) (taylor 0 z) (#s(alt #s(approx (- (+ x (* y (log y))) z) (-.f64 x z)) (patch #s(approx (- (+ x (* y (log y))) z) (-.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* -1 z) (* y (log y)))) (taylor 0 z) (#s(alt #s(approx (- (+ x (* y (log y))) z) (-.f64 x z)) (patch #s(approx (- (+ x (* y (log y))) z) (-.f64 x z)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 z) (#s(alt (-.f64 x z) (patch (-.f64 x z) #<representation binary64>) () ())) ())
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#s(alt (exp (- (+ x (* y (log y))) z)) (taylor inf z) (#s(alt (exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (exp (- (+ x (* y (log y))) z)) (taylor inf z) (#s(alt (exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (exp (- (+ x (* y (log y))) z)) (taylor inf z) (#s(alt (exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt #s(approx (- (+ x (* y (log y))) z) (neg.f64 z)) (patch #s(approx (- (+ x (* y (log y))) z) (neg.f64 z)) #<representation binary64>) () ())) ())
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#s(alt (exp (- (+ x (* y (log y))) z)) (taylor inf z) (#s(alt (exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y))) #<representation binary64>) () ())) ())
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#s(alt (exp (- (+ x (* y (log y))) z)) (taylor inf z) (#s(alt (exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y))) #<representation binary64>) () ())) ())
#s(alt (exp (- (+ x (* y (log y))) z)) (taylor inf z) (#s(alt (exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y)) (patch #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ (/ x z) (/ (* y (log y)) z)) 1)) (taylor inf z) (#s(alt #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y)) (patch #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y)) #<representation binary64>) () ())) ())
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#s(alt (exp (- (+ x (* y (log y))) z)) (taylor inf z) (#s(alt (exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z))) #<representation binary64>) () ())) ())
#s(alt (exp (- (+ x (* y (log y))) z)) (taylor inf z) (#s(alt (exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z))) #<representation binary64>) () ())) ())
#s(alt (exp (- (+ x (* y (log y))) z)) (taylor inf z) (#s(alt (exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z))) #<representation binary64>) () ())) ())
#s(alt (exp (- (+ x (* y (log y))) z)) (taylor inf z) (#s(alt (exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z))) #<representation binary64>) () ())) ())
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#s(alt (exp (+ x (+ (* -1 z) (* y (log y))))) (taylor -inf z) (#s(alt (exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z))) #<representation binary64>) () ())) ())
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#s(alt (* -1 z) (taylor -inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
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#s(alt (exp (+ x (+ (* -1 z) (* y (log y))))) (taylor -inf z) (#s(alt (exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y))) #<representation binary64>) () ())) ())
#s(alt (exp (+ x (+ (* -1 z) (* y (log y))))) (taylor -inf z) (#s(alt (exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (- (* -1 (/ (- (* y (log y)) z) x)) 1))) (taylor -inf x) (#s(alt #s(approx (- (+ x (* y (log y))) z) (neg.f64 z)) (patch #s(approx (- (+ x (* y (log y))) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (* y (log y)) z) x)) 1))) (taylor -inf x) (#s(alt #s(approx (- (+ x (* y (log y))) z) (neg.f64 z)) (patch #s(approx (- (+ x (* y (log y))) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (exp (- (* y (log y)) (+ z (* -1 x)))) (taylor -inf x) (#s(alt (exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y))) #<representation binary64>) () ())) ())
#s(alt (exp (- (* y (log y)) (+ z (* -1 x)))) (taylor -inf x) (#s(alt (exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y))) #<representation binary64>) () ())) ())
#s(alt (exp (- (* y (log y)) (+ z (* -1 x)))) (taylor -inf x) (#s(alt (exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y))) #<representation binary64>) () ())) ())
#s(alt (exp (- (* y (log y)) (+ z (* -1 x)))) (taylor -inf x) (#s(alt (exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y)) (patch #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (* y (log y)) z) x)) 1))) (taylor -inf x) (#s(alt #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y)) (patch #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (* y (log y)) z) x)) 1))) (taylor -inf x) (#s(alt #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y)) (patch #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (* y (log y)) z) x)) 1))) (taylor -inf x) (#s(alt #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y)) (patch #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (exp (- (* y (log y)) (+ z (* -1 x)))) (taylor -inf x) (#s(alt (exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z))) #<representation binary64>) () ())) ())
#s(alt (exp (- (* y (log y)) (+ z (* -1 x)))) (taylor -inf x) (#s(alt (exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z))) #<representation binary64>) () ())) ())
#s(alt (exp (- (* y (log y)) (+ z (* -1 x)))) (taylor -inf x) (#s(alt (exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z))) #<representation binary64>) () ())) ())
#s(alt (exp (- (* y (log y)) (+ z (* -1 x)))) (taylor -inf x) (#s(alt (exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt #s(approx (- (+ x (* y (log y))) z) (-.f64 x z)) (patch #s(approx (- (+ x (* y (log y))) z) (-.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (* y (log y)) z) x)) 1))) (taylor -inf x) (#s(alt #s(approx (- (+ x (* y (log y))) z) (-.f64 x z)) (patch #s(approx (- (+ x (* y (log y))) z) (-.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (* y (log y)) z) x)) 1))) (taylor -inf x) (#s(alt #s(approx (- (+ x (* y (log y))) z) (-.f64 x z)) (patch #s(approx (- (+ x (* y (log y))) z) (-.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (* y (log y)) z) x)) 1))) (taylor -inf x) (#s(alt #s(approx (- (+ x (* y (log y))) z) (-.f64 x z)) (patch #s(approx (- (+ x (* y (log y))) z) (-.f64 x z)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 x z) (patch (-.f64 x z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ z x) 1))) (taylor -inf x) (#s(alt (-.f64 x z) (patch (-.f64 x z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ z x) 1))) (taylor -inf x) (#s(alt (-.f64 x z) (patch (-.f64 x z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ z x) 1))) (taylor -inf x) (#s(alt (-.f64 x z) (patch (-.f64 x z) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
218.0ms
y
@-inf
((exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (neg z) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (* (log y) y) (log y) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (- x z))
19.0ms
y
@0
((exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (neg z) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (* (log y) y) (log y) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (- x z))
7.0ms
y
@inf
((exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (neg z) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (* (log y) y) (log y) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (- x z))
2.0ms
z
@0
((exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (neg z) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (* (log y) y) (log y) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (- x z))
2.0ms
x
@0
((exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (neg z) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (* (log y) y) (log y) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (- x z))

simplify443.0ms (9.5%)

Memory
-13.2MiB live, 304.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01312526
14042260
212062173
339332146
084312029
Stop Event
iter limit
node limit
Counts
276 → 267
Calls
Call 1
Inputs
(exp (+ x (* y (log y))))
(+ (exp (+ x (* y (log y)))) (* -1 (* z (exp (+ x (* y (log y)))))))
(+ (exp (+ x (* y (log y)))) (* z (+ (* -1 (exp (+ x (* y (log y))))) (* 1/2 (* z (exp (+ x (* y (log y)))))))))
(+ (exp (+ x (* y (log y)))) (* z (+ (* -1 (exp (+ x (* y (log y))))) (* z (+ (* -1/6 (* z (exp (+ x (* y (log y)))))) (* 1/2 (exp (+ x (* y (log y))))))))))
(+ x (* y (log y)))
(+ x (+ (* -1 z) (* y (log y))))
(+ x (+ (* -1 z) (* y (log y))))
(+ x (+ (* -1 z) (* y (log y))))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(exp (+ x (* y (log y))))
(+ (exp (+ x (* y (log y)))) (* -1 (* z (exp (+ x (* y (log y)))))))
(+ (exp (+ x (* y (log y)))) (* z (+ (* -1 (exp (+ x (* y (log y))))) (* 1/2 (* z (exp (+ x (* y (log y)))))))))
(+ (exp (+ x (* y (log y)))) (* z (+ (* -1 (exp (+ x (* y (log y))))) (* z (+ (* -1/6 (* z (exp (+ x (* y (log y)))))) (* 1/2 (exp (+ x (* y (log y))))))))))
(+ x (* y (log y)))
(+ x (+ (* -1 z) (* y (log y))))
(+ x (+ (* -1 z) (* y (log y))))
(+ x (+ (* -1 z) (* y (log y))))
(exp (+ x (* y (log y))))
(+ (exp (+ x (* y (log y)))) (* -1 (* z (exp (+ x (* y (log y)))))))
(+ (exp (+ x (* y (log y)))) (* z (+ (* -1 (exp (+ x (* y (log y))))) (* 1/2 (* z (exp (+ x (* y (log y)))))))))
(+ (exp (+ x (* y (log y)))) (* z (+ (* -1 (exp (+ x (* y (log y))))) (* z (+ (* -1/6 (* z (exp (+ x (* y (log y)))))) (* 1/2 (exp (+ x (* y (log y))))))))))
(+ x (* y (log y)))
(+ x (+ (* -1 z) (* y (log y))))
(+ x (+ (* -1 z) (* y (log y))))
(+ x (+ (* -1 z) (* y (log y))))
x
(+ x (* -1 z))
(+ x (* -1 z))
(+ x (* -1 z))
(exp (- (+ x (* y (log y))) z))
(exp (- (+ x (* y (log y))) z))
(exp (- (+ x (* y (log y))) z))
(exp (- (+ x (* y (log y))) z))
(* -1 z)
(* z (- (+ (/ x z) (/ (* y (log y)) z)) 1))
(* z (- (+ (/ x z) (/ (* y (log y)) z)) 1))
(* z (- (+ (/ x z) (/ (* y (log y)) z)) 1))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(exp (- (+ x (* y (log y))) z))
(exp (- (+ x (* y (log y))) z))
(exp (- (+ x (* y (log y))) z))
(exp (- (+ x (* y (log y))) z))
(* -1 z)
(* z (- (+ (/ x z) (/ (* y (log y)) z)) 1))
(* z (- (+ (/ x z) (/ (* y (log y)) z)) 1))
(* z (- (+ (/ x z) (/ (* y (log y)) z)) 1))
(exp (- (+ x (* y (log y))) z))
(exp (- (+ x (* y (log y))) z))
(exp (- (+ x (* y (log y))) z))
(exp (- (+ x (* y (log y))) z))
(* -1 z)
(* z (- (+ (/ x z) (/ (* y (log y)) z)) 1))
(* z (- (+ (/ x z) (/ (* y (log y)) z)) 1))
(* z (- (+ (/ x z) (/ (* y (log y)) z)) 1))
(* -1 z)
(* z (- (/ x z) 1))
(* z (- (/ x z) 1))
(* z (- (/ x z) 1))
(exp (+ x (+ (* -1 z) (* y (log y)))))
(exp (+ x (+ (* -1 z) (* y (log y)))))
(exp (+ x (+ (* -1 z) (* y (log y)))))
(exp (+ x (+ (* -1 z) (* y (log y)))))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ (+ x (* y (log y))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ x (* y (log y))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ x (* y (log y))) z)))))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(exp (+ x (+ (* -1 z) (* y (log y)))))
(exp (+ x (+ (* -1 z) (* y (log y)))))
(exp (+ x (+ (* -1 z) (* y (log y)))))
(exp (+ x (+ (* -1 z) (* y (log y)))))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ (+ x (* y (log y))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ x (* y (log y))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ x (* y (log y))) z)))))
(exp (+ x (+ (* -1 z) (* y (log y)))))
(exp (+ x (+ (* -1 z) (* y (log y)))))
(exp (+ x (+ (* -1 z) (* y (log y)))))
(exp (+ x (+ (* -1 z) (* y (log y)))))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ (+ x (* y (log y))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ x (* y (log y))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ x (* y (log y))) z)))))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(exp (- x z))
(+ (exp (- x z)) (* y (* (exp (- x z)) (log y))))
(+ (exp (- x z)) (* y (+ (* 1/2 (* y (* (exp (- x z)) (pow (log y) 2)))) (* (exp (- x z)) (log y)))))
(+ (exp (- x z)) (* y (+ (* y (+ (* 1/6 (* y (* (exp (- x z)) (pow (log y) 3)))) (* 1/2 (* (exp (- x z)) (pow (log y) 2))))) (* (exp (- x z)) (log y)))))
(- x z)
(- (+ x (* y (log y))) z)
(- (+ x (* y (log y))) z)
(- (+ x (* y (log y))) z)
(exp (- x z))
(+ (exp (- x z)) (* y (* (exp (- x z)) (log y))))
(+ (exp (- x z)) (* y (+ (* 1/2 (* y (* (exp (- x z)) (pow (log y) 2)))) (* (exp (- x z)) (log y)))))
(+ (exp (- x z)) (* y (+ (* y (+ (* 1/6 (* y (* (exp (- x z)) (pow (log y) 3)))) (* 1/2 (* (exp (- x z)) (pow (log y) 2))))) (* (exp (- x z)) (log y)))))
(- x z)
(- (+ x (* y (log y))) z)
(- (+ x (* y (log y))) z)
(- (+ x (* y (log y))) z)
(* y (log y))
(* y (log y))
(* y (log y))
(* y (log y))
(log y)
(log y)
(log y)
(log y)
(exp (- x z))
(+ (exp (- x z)) (* y (* (exp (- x z)) (log y))))
(+ (exp (- x z)) (* y (+ (* 1/2 (* y (* (exp (- x z)) (pow (log y) 2)))) (* (exp (- x z)) (log y)))))
(+ (exp (- x z)) (* y (+ (* y (+ (* 1/6 (* y (* (exp (- x z)) (pow (log y) 3)))) (* 1/2 (* (exp (- x z)) (pow (log y) 2))))) (* (exp (- x z)) (log y)))))
(- x z)
(- (+ x (* y (log y))) z)
(- (+ x (* y (log y))) z)
(- (+ x (* y (log y))) z)
(exp (- (+ x (* y (log y))) z))
(exp (- (+ x (* y (log y))) z))
(exp (- (+ x (* y (log y))) z))
(exp (- (+ x (* y (log y))) z))
(* -1 (* y (log (/ 1 y))))
(* y (- (+ (* -1 (log (/ 1 y))) (/ x y)) (/ z y)))
(* y (- (+ (* -1 (log (/ 1 y))) (/ x y)) (/ z y)))
(* y (- (+ (* -1 (log (/ 1 y))) (/ x y)) (/ z y)))
(exp (- (+ x (* y (log y))) z))
(exp (- (+ x (* y (log y))) z))
(exp (- (+ x (* y (log y))) z))
(exp (- (+ x (* y (log y))) z))
(* -1 (* y (log (/ 1 y))))
(* y (- (+ (* -1 (log (/ 1 y))) (/ x y)) (/ z y)))
(* y (- (+ (* -1 (log (/ 1 y))) (/ x y)) (/ z y)))
(* y (- (+ (* -1 (log (/ 1 y))) (/ x y)) (/ z y)))
(* -1 (* y (log (/ 1 y))))
(* -1 (* y (log (/ 1 y))))
(* -1 (* y (log (/ 1 y))))
(* -1 (* y (log (/ 1 y))))
(* -1 (log (/ 1 y)))
(* -1 (log (/ 1 y)))
(* -1 (log (/ 1 y)))
(* -1 (log (/ 1 y)))
(exp (- (+ x (* y (log y))) z))
(exp (- (+ x (* y (log y))) z))
(exp (- (+ x (* y (log y))) z))
(exp (- (+ x (* y (log y))) z))
(* -1 (* y (log (/ 1 y))))
(* y (- (+ (* -1 (log (/ 1 y))) (/ x y)) (/ z y)))
(* y (- (+ (* -1 (log (/ 1 y))) (/ x y)) (/ z y)))
(* y (- (+ (* -1 (log (/ 1 y))) (/ x y)) (/ z y)))
(exp (- (+ x (* y (log y))) z))
(exp (- (+ x (* y (log y))) z))
(exp (- (+ x (* y (log y))) z))
(exp (- (+ x (* y (log y))) z))
(* y (+ (log -1) (* -1 (log (/ -1 y)))))
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ (- x z) y)))))
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ (- x z) y)))))
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ (- x z) y)))))
(exp (- (+ x (* y (log y))) z))
(exp (- (+ x (* y (log y))) z))
(exp (- (+ x (* y (log y))) z))
(exp (- (+ x (* y (log y))) z))
(* y (+ (log -1) (* -1 (log (/ -1 y)))))
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ (- x z) y)))))
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ (- x z) y)))))
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ (- x z) y)))))
(* y (+ (log -1) (* -1 (log (/ -1 y)))))
(* y (+ (log -1) (* -1 (log (/ -1 y)))))
(* y (+ (log -1) (* -1 (log (/ -1 y)))))
(* y (+ (log -1) (* -1 (log (/ -1 y)))))
(+ (log -1) (* -1 (log (/ -1 y))))
(+ (log -1) (* -1 (log (/ -1 y))))
(+ (log -1) (* -1 (log (/ -1 y))))
(+ (log -1) (* -1 (log (/ -1 y))))
(exp (- (+ x (* y (log y))) z))
(exp (- (+ x (* y (log y))) z))
(exp (- (+ x (* y (log y))) z))
(exp (- (+ x (* y (log y))) z))
(* y (+ (log -1) (* -1 (log (/ -1 y)))))
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ (- x z) y)))))
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ (- x z) y)))))
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ (- x z) y)))))
(exp (- (* y (log y)) z))
(+ (exp (- (* y (log y)) z)) (* x (exp (- (* y (log y)) z))))
(+ (exp (- (* y (log y)) z)) (* x (+ (exp (- (* y (log y)) z)) (* 1/2 (* x (exp (- (* y (log y)) z)))))))
(+ (exp (- (* y (log y)) z)) (* x (+ (exp (- (* y (log y)) z)) (* x (+ (* 1/6 (* x (exp (- (* y (log y)) z)))) (* 1/2 (exp (- (* y (log y)) z))))))))
(- (* y (log y)) z)
(- (+ x (* y (log y))) z)
(- (+ x (* y (log y))) z)
(- (+ x (* y (log y))) z)
(exp (- (* y (log y)) z))
(+ (exp (- (* y (log y)) z)) (* x (exp (- (* y (log y)) z))))
(+ (exp (- (* y (log y)) z)) (* x (+ (exp (- (* y (log y)) z)) (* 1/2 (* x (exp (- (* y (log y)) z)))))))
(+ (exp (- (* y (log y)) z)) (* x (+ (exp (- (* y (log y)) z)) (* x (+ (* 1/6 (* x (exp (- (* y (log y)) z)))) (* 1/2 (exp (- (* y (log y)) z))))))))
(- (* y (log y)) z)
(- (+ x (* y (log y))) z)
(- (+ x (* y (log y))) z)
(- (+ x (* y (log y))) z)
(exp (- (* y (log y)) z))
(+ (exp (- (* y (log y)) z)) (* x (exp (- (* y (log y)) z))))
(+ (exp (- (* y (log y)) z)) (* x (+ (exp (- (* y (log y)) z)) (* 1/2 (* x (exp (- (* y (log y)) z)))))))
(+ (exp (- (* y (log y)) z)) (* x (+ (exp (- (* y (log y)) z)) (* x (+ (* 1/6 (* x (exp (- (* y (log y)) z)))) (* 1/2 (exp (- (* y (log y)) z))))))))
(- (* y (log y)) z)
(- (+ x (* y (log y))) z)
(- (+ x (* y (log y))) z)
(- (+ x (* y (log y))) z)
(* -1 z)
(- x z)
(- x z)
(- x z)
(exp (- (+ x (* y (log y))) z))
(exp (- (+ x (* y (log y))) z))
(exp (- (+ x (* y (log y))) z))
(exp (- (+ x (* y (log y))) z))
x
(* x (- (+ 1 (/ (* y (log y)) x)) (/ z x)))
(* x (- (+ 1 (/ (* y (log y)) x)) (/ z x)))
(* x (- (+ 1 (/ (* y (log y)) x)) (/ z x)))
(exp (- (+ x (* y (log y))) z))
(exp (- (+ x (* y (log y))) z))
(exp (- (+ x (* y (log y))) z))
(exp (- (+ x (* y (log y))) z))
x
(* x (- (+ 1 (/ (* y (log y)) x)) (/ z x)))
(* x (- (+ 1 (/ (* y (log y)) x)) (/ z x)))
(* x (- (+ 1 (/ (* y (log y)) x)) (/ z x)))
(exp (- (+ x (* y (log y))) z))
(exp (- (+ x (* y (log y))) z))
(exp (- (+ x (* y (log y))) z))
(exp (- (+ x (* y (log y))) z))
x
(* x (- (+ 1 (/ (* y (log y)) x)) (/ z x)))
(* x (- (+ 1 (/ (* y (log y)) x)) (/ z x)))
(* x (- (+ 1 (/ (* y (log y)) x)) (/ z x)))
x
(* x (+ 1 (* -1 (/ z x))))
(* x (+ 1 (* -1 (/ z x))))
(* x (+ 1 (* -1 (/ z x))))
(exp (- (* y (log y)) (+ z (* -1 x))))
(exp (- (* y (log y)) (+ z (* -1 x))))
(exp (- (* y (log y)) (+ z (* -1 x))))
(exp (- (* y (log y)) (+ z (* -1 x))))
x
(* -1 (* x (- (* -1 (/ (- (* y (log y)) z) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* y (log y)) z) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* y (log y)) z) x)) 1)))
(exp (- (* y (log y)) (+ z (* -1 x))))
(exp (- (* y (log y)) (+ z (* -1 x))))
(exp (- (* y (log y)) (+ z (* -1 x))))
(exp (- (* y (log y)) (+ z (* -1 x))))
x
(* -1 (* x (- (* -1 (/ (- (* y (log y)) z) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* y (log y)) z) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* y (log y)) z) x)) 1)))
(exp (- (* y (log y)) (+ z (* -1 x))))
(exp (- (* y (log y)) (+ z (* -1 x))))
(exp (- (* y (log y)) (+ z (* -1 x))))
(exp (- (* y (log y)) (+ z (* -1 x))))
x
(* -1 (* x (- (* -1 (/ (- (* y (log y)) z) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* y (log y)) z) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* y (log y)) z) x)) 1)))
x
(* -1 (* x (- (/ z x) 1)))
(* -1 (* x (- (/ z x) 1)))
(* -1 (* x (- (/ z x) 1)))
Outputs
(exp (+ x (* y (log y))))
(*.f64 (pow.f64 y y) (exp.f64 x))
(+ (exp (+ x (* y (log y)))) (* -1 (* z (exp (+ x (* y (log y)))))))
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(* y (+ (log -1) (* -1 (log (/ -1 y)))))
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) y)
(+ (log -1) (* -1 (log (/ -1 y))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y)))
(+ (log -1) (* -1 (log (/ -1 y))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y)))
(+ (log -1) (* -1 (log (/ -1 y))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y)))
(+ (log -1) (* -1 (log (/ -1 y))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y)))
(exp (- (+ x (* y (log y))) z))
(exp.f64 (fma.f64 (log.f64 y) y (-.f64 x z)))
(exp (- (+ x (* y (log y))) z))
(exp.f64 (fma.f64 (log.f64 y) y (-.f64 x z)))
(exp (- (+ x (* y (log y))) z))
(exp.f64 (fma.f64 (log.f64 y) y (-.f64 x z)))
(exp (- (+ x (* y (log y))) z))
(exp.f64 (fma.f64 (log.f64 y) y (-.f64 x z)))
(* y (+ (log -1) (* -1 (log (/ -1 y)))))
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) y)
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ (- x z) y)))))
(fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) y (-.f64 x z))
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ (- x z) y)))))
(fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) y (-.f64 x z))
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ (- x z) y)))))
(fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) y (-.f64 x z))
(exp (- (* y (log y)) z))
(/.f64 (pow.f64 y y) (exp.f64 z))
(+ (exp (- (* y (log y)) z)) (* x (exp (- (* y (log y)) z))))
(*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (pow.f64 y y) (exp.f64 z)))
(+ (exp (- (* y (log y)) z)) (* x (+ (exp (- (* y (log y)) z)) (* 1/2 (* x (exp (- (* y (log y)) z)))))))
(*.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)))
(+ (exp (- (* y (log y)) z)) (* x (+ (exp (- (* y (log y)) z)) (* x (+ (* 1/6 (* x (exp (- (* y (log y)) z)))) (* 1/2 (exp (- (* y (log y)) z))))))))
(fma.f64 (*.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))) x (/.f64 (pow.f64 y y) (exp.f64 z)))
(- (* y (log y)) z)
(-.f64 (*.f64 (log.f64 y) y) z)
(- (+ x (* y (log y))) z)
(fma.f64 (log.f64 y) y (-.f64 x z))
(- (+ x (* y (log y))) z)
(fma.f64 (log.f64 y) y (-.f64 x z))
(- (+ x (* y (log y))) z)
(fma.f64 (log.f64 y) y (-.f64 x z))
(exp (- (* y (log y)) z))
(/.f64 (pow.f64 y y) (exp.f64 z))
(+ (exp (- (* y (log y)) z)) (* x (exp (- (* y (log y)) z))))
(*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (pow.f64 y y) (exp.f64 z)))
(+ (exp (- (* y (log y)) z)) (* x (+ (exp (- (* y (log y)) z)) (* 1/2 (* x (exp (- (* y (log y)) z)))))))
(*.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)))
(+ (exp (- (* y (log y)) z)) (* x (+ (exp (- (* y (log y)) z)) (* x (+ (* 1/6 (* x (exp (- (* y (log y)) z)))) (* 1/2 (exp (- (* y (log y)) z))))))))
(fma.f64 (*.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))) x (/.f64 (pow.f64 y y) (exp.f64 z)))
(- (* y (log y)) z)
(-.f64 (*.f64 (log.f64 y) y) z)
(- (+ x (* y (log y))) z)
(fma.f64 (log.f64 y) y (-.f64 x z))
(- (+ x (* y (log y))) z)
(fma.f64 (log.f64 y) y (-.f64 x z))
(- (+ x (* y (log y))) z)
(fma.f64 (log.f64 y) y (-.f64 x z))
(exp (- (* y (log y)) z))
(/.f64 (pow.f64 y y) (exp.f64 z))
(+ (exp (- (* y (log y)) z)) (* x (exp (- (* y (log y)) z))))
(*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (pow.f64 y y) (exp.f64 z)))
(+ (exp (- (* y (log y)) z)) (* x (+ (exp (- (* y (log y)) z)) (* 1/2 (* x (exp (- (* y (log y)) z)))))))
(*.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)))
(+ (exp (- (* y (log y)) z)) (* x (+ (exp (- (* y (log y)) z)) (* x (+ (* 1/6 (* x (exp (- (* y (log y)) z)))) (* 1/2 (exp (- (* y (log y)) z))))))))
(fma.f64 (*.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))) x (/.f64 (pow.f64 y y) (exp.f64 z)))
(- (* y (log y)) z)
(-.f64 (*.f64 (log.f64 y) y) z)
(- (+ x (* y (log y))) z)
(fma.f64 (log.f64 y) y (-.f64 x z))
(- (+ x (* y (log y))) z)
(fma.f64 (log.f64 y) y (-.f64 x z))
(- (+ x (* y (log y))) z)
(fma.f64 (log.f64 y) y (-.f64 x z))
(* -1 z)
(neg.f64 z)
(- x z)
(-.f64 x z)
(- x z)
(-.f64 x z)
(- x z)
(-.f64 x z)
(exp (- (+ x (* y (log y))) z))
(exp.f64 (fma.f64 (log.f64 y) y (-.f64 x z)))
(exp (- (+ x (* y (log y))) z))
(exp.f64 (fma.f64 (log.f64 y) y (-.f64 x z)))
(exp (- (+ x (* y (log y))) z))
(exp.f64 (fma.f64 (log.f64 y) y (-.f64 x z)))
(exp (- (+ x (* y (log y))) z))
(exp.f64 (fma.f64 (log.f64 y) y (-.f64 x z)))
x
(* x (- (+ 1 (/ (* y (log y)) x)) (/ z x)))
(fma.f64 (log.f64 y) y (-.f64 x z))
(* x (- (+ 1 (/ (* y (log y)) x)) (/ z x)))
(fma.f64 (log.f64 y) y (-.f64 x z))
(* x (- (+ 1 (/ (* y (log y)) x)) (/ z x)))
(fma.f64 (log.f64 y) y (-.f64 x z))
(exp (- (+ x (* y (log y))) z))
(exp.f64 (fma.f64 (log.f64 y) y (-.f64 x z)))
(exp (- (+ x (* y (log y))) z))
(exp.f64 (fma.f64 (log.f64 y) y (-.f64 x z)))
(exp (- (+ x (* y (log y))) z))
(exp.f64 (fma.f64 (log.f64 y) y (-.f64 x z)))
(exp (- (+ x (* y (log y))) z))
(exp.f64 (fma.f64 (log.f64 y) y (-.f64 x z)))
x
(* x (- (+ 1 (/ (* y (log y)) x)) (/ z x)))
(fma.f64 (log.f64 y) y (-.f64 x z))
(* x (- (+ 1 (/ (* y (log y)) x)) (/ z x)))
(fma.f64 (log.f64 y) y (-.f64 x z))
(* x (- (+ 1 (/ (* y (log y)) x)) (/ z x)))
(fma.f64 (log.f64 y) y (-.f64 x z))
(exp (- (+ x (* y (log y))) z))
(exp.f64 (fma.f64 (log.f64 y) y (-.f64 x z)))
(exp (- (+ x (* y (log y))) z))
(exp.f64 (fma.f64 (log.f64 y) y (-.f64 x z)))
(exp (- (+ x (* y (log y))) z))
(exp.f64 (fma.f64 (log.f64 y) y (-.f64 x z)))
(exp (- (+ x (* y (log y))) z))
(exp.f64 (fma.f64 (log.f64 y) y (-.f64 x z)))
x
(* x (- (+ 1 (/ (* y (log y)) x)) (/ z x)))
(fma.f64 (log.f64 y) y (-.f64 x z))
(* x (- (+ 1 (/ (* y (log y)) x)) (/ z x)))
(fma.f64 (log.f64 y) y (-.f64 x z))
(* x (- (+ 1 (/ (* y (log y)) x)) (/ z x)))
(fma.f64 (log.f64 y) y (-.f64 x z))
x
(* x (+ 1 (* -1 (/ z x))))
(-.f64 x z)
(* x (+ 1 (* -1 (/ z x))))
(-.f64 x z)
(* x (+ 1 (* -1 (/ z x))))
(-.f64 x z)
(exp (- (* y (log y)) (+ z (* -1 x))))
(exp.f64 (fma.f64 (log.f64 y) y (-.f64 x z)))
(exp (- (* y (log y)) (+ z (* -1 x))))
(exp.f64 (fma.f64 (log.f64 y) y (-.f64 x z)))
(exp (- (* y (log y)) (+ z (* -1 x))))
(exp.f64 (fma.f64 (log.f64 y) y (-.f64 x z)))
(exp (- (* y (log y)) (+ z (* -1 x))))
(exp.f64 (fma.f64 (log.f64 y) y (-.f64 x z)))
x
(* -1 (* x (- (* -1 (/ (- (* y (log y)) z) x)) 1)))
(fma.f64 (log.f64 y) y (-.f64 x z))
(* -1 (* x (- (* -1 (/ (- (* y (log y)) z) x)) 1)))
(fma.f64 (log.f64 y) y (-.f64 x z))
(* -1 (* x (- (* -1 (/ (- (* y (log y)) z) x)) 1)))
(fma.f64 (log.f64 y) y (-.f64 x z))
(exp (- (* y (log y)) (+ z (* -1 x))))
(exp.f64 (fma.f64 (log.f64 y) y (-.f64 x z)))
(exp (- (* y (log y)) (+ z (* -1 x))))
(exp.f64 (fma.f64 (log.f64 y) y (-.f64 x z)))
(exp (- (* y (log y)) (+ z (* -1 x))))
(exp.f64 (fma.f64 (log.f64 y) y (-.f64 x z)))
(exp (- (* y (log y)) (+ z (* -1 x))))
(exp.f64 (fma.f64 (log.f64 y) y (-.f64 x z)))
x
(* -1 (* x (- (* -1 (/ (- (* y (log y)) z) x)) 1)))
(fma.f64 (log.f64 y) y (-.f64 x z))
(* -1 (* x (- (* -1 (/ (- (* y (log y)) z) x)) 1)))
(fma.f64 (log.f64 y) y (-.f64 x z))
(* -1 (* x (- (* -1 (/ (- (* y (log y)) z) x)) 1)))
(fma.f64 (log.f64 y) y (-.f64 x z))
(exp (- (* y (log y)) (+ z (* -1 x))))
(exp.f64 (fma.f64 (log.f64 y) y (-.f64 x z)))
(exp (- (* y (log y)) (+ z (* -1 x))))
(exp.f64 (fma.f64 (log.f64 y) y (-.f64 x z)))
(exp (- (* y (log y)) (+ z (* -1 x))))
(exp.f64 (fma.f64 (log.f64 y) y (-.f64 x z)))
(exp (- (* y (log y)) (+ z (* -1 x))))
(exp.f64 (fma.f64 (log.f64 y) y (-.f64 x z)))
x
(* -1 (* x (- (* -1 (/ (- (* y (log y)) z) x)) 1)))
(fma.f64 (log.f64 y) y (-.f64 x z))
(* -1 (* x (- (* -1 (/ (- (* y (log y)) z) x)) 1)))
(fma.f64 (log.f64 y) y (-.f64 x z))
(* -1 (* x (- (* -1 (/ (- (* y (log y)) z) x)) 1)))
(fma.f64 (log.f64 y) y (-.f64 x z))
x
(* -1 (* x (- (/ z x) 1)))
(-.f64 x z)
(* -1 (* x (- (/ z x) 1)))
(-.f64 x z)
(* -1 (* x (- (/ z x) 1)))
(-.f64 x z)

rewrite224.0ms (4.8%)

Memory
-33.2MiB live, 232.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01786
02486
16786
246986
3702186
0816280
Stop Event
iter limit
node limit
iter limit
Counts
10 → 109
Calls
Call 1
Inputs
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z)))
#s(approx (- (+ x (* y (log y))) z) (neg.f64 z))
(neg.f64 z)
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y)))
#s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y))
(*.f64 (log.f64 y) y)
(log.f64 y)
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z)))
#s(approx (- (+ x (* y (log y))) z) (-.f64 x z))
(-.f64 x z)
Outputs
#<batchref>
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eval36.0ms (0.8%)

Memory
15.1MiB live, 91.6MiB allocated
Compiler

Compiled 4 615 to 564 computations (87.8% saved)

prune14.0ms (0.3%)

Memory
-6.6MiB live, 38.2MiB allocated
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New3760376
Fresh000
Picked033
Done000
Total3763379
Accuracy
100.0%
Counts
379 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
75.3%
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z)))
60.7%
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y)))
47.5%
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z)))
Compiler

Compiled 39 to 36 computations (7.7% saved)

regimes17.0ms (0.4%)

Memory
1.9MiB live, 40.8MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z)))
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z)))
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y)))
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
Outputs
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
Calls

7 calls:

3.0ms
(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
2.0ms
(+.f64 x (*.f64 y (log.f64 y)))
2.0ms
z
2.0ms
(*.f64 y (log.f64 y))
2.0ms
y
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
100.0%1(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
100.0%1(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
100.0%1(+.f64 x (*.f64 y (log.f64 y)))
100.0%1(*.f64 y (log.f64 y))
Compiler

Compiled 30 to 35 computations (-16.7% saved)

regimes15.0ms (0.3%)

Memory
-9.8MiB live, 28.9MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z)))
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z)))
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y)))
Outputs
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z)))
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y)))
Calls

7 calls:

3.0ms
z
2.0ms
(+.f64 x (*.f64 y (log.f64 y)))
2.0ms
(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
2.0ms
(*.f64 y (log.f64 y))
2.0ms
x
Results
AccuracySegmentsBranch
84.4%3x
93.2%2y
80.8%3z
86.1%2(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
86.8%2(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
88.3%2(+.f64 x (*.f64 y (log.f64 y)))
93.2%2(*.f64 y (log.f64 y))
Compiler

Compiled 30 to 35 computations (-16.7% saved)

regimes12.0ms (0.3%)

Memory
25.5MiB live, 25.5MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z)))
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z)))
Outputs
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z)))
Calls

7 calls:

2.0ms
(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
2.0ms
z
2.0ms
(*.f64 y (log.f64 y))
2.0ms
(+.f64 x (*.f64 y (log.f64 y)))
2.0ms
y
Results
AccuracySegmentsBranch
75.3%1z
75.3%1x
75.3%1(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
75.3%1(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
75.3%1(+.f64 x (*.f64 y (log.f64 y)))
75.3%1y
75.3%1(*.f64 y (log.f64 y))
Compiler

Compiled 30 to 35 computations (-16.7% saved)

regimes11.0ms (0.2%)

Memory
-15.8MiB live, 22.8MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z)))
Outputs
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z)))
Calls

7 calls:

2.0ms
z
1.0ms
(+.f64 x (*.f64 y (log.f64 y)))
1.0ms
(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
1.0ms
(*.f64 y (log.f64 y))
1.0ms
x
Results
AccuracySegmentsBranch
47.5%1x
47.5%1y
47.5%1(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
47.5%1(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
47.5%1(+.f64 x (*.f64 y (log.f64 y)))
47.5%1(*.f64 y (log.f64 y))
47.5%1z
Compiler

Compiled 30 to 35 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.915140590462748e+25
8.248791065439593e+27
Compiler

Compiled 12 to 14 computations (-16.7% saved)

simplify25.0ms (0.5%)

Memory
9.9MiB live, 50.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02468
13268
23668
33768
Stop Event
saturated
Calls
Call 1
Inputs
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
(if (<=.f64 (*.f64 y (log.f64 y)) #s(literal 50000000000000002382364672 binary64)) (exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z))) (exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y))))
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z)))
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z)))
Outputs
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
(exp.f64 (-.f64 (+.f64 (*.f64 (log.f64 y) y) x) z))
(if (<=.f64 (*.f64 y (log.f64 y)) #s(literal 50000000000000002382364672 binary64)) (exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z))) (exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y))))
(if (<=.f64 (*.f64 (log.f64 y) y) #s(literal 50000000000000002382364672 binary64)) (exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z))) (exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y))))
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z)))
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z)))

soundness321.0ms (6.9%)

Memory
-14.8MiB live, 183.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01281055
1407954
21245919
34149887
08320829
Stop Event
done
iter limit
node limit
Compiler

Compiled 52 to 40 computations (23.1% saved)

preprocess49.0ms (1%)

Memory
-4.1MiB live, 115.7MiB allocated
Compiler

Compiled 108 to 70 computations (35.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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