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

Time bar (total: 6.0s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze1.0ms (0%)

Memory
1.8MiB live, 1.8MiB 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)

sample877.0ms (14.7%)

Memory
46.3MiB live, 1 051.4MiB allocated
Samples
610.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 408.0ms
ival-log: 120.0ms (29.4% of total)
ival-exp: 89.0ms (21.8% of total)
ival-sub: 75.0ms (18.4% of total)
ival-mult: 61.0ms (14.9% of total)
ival-add: 53.0ms (13% of total)
ival-true: 7.0ms (1.7% of total)
ival-assert: 3.0ms (0.7% of total)
Bogosity

explain173.0ms (2.9%)

Memory
-8.4MiB live, 201.2MiB 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
42.0ms510×0valid
0.0ms1valid
Compiler

Compiled 109 to 36 computations (67% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-log: 13.0ms (48.6% of total)
ival-exp: 4.0ms (15% of total)
ival-mult: 4.0ms (15% of total)
ival-add: 3.0ms (11.2% of total)
ival-sub: 2.0ms (7.5% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess254.0ms (4.3%)

Memory
2.9MiB live, 86.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03592
19686
225181
373677
4162277
5275077
6395977
7477177
8530077
9563777
10575977
11580077
12584877
13600177
14676077
15678477
16678477
089
0139
1229
2418
3828
41308
52048
63838
76898
89168
910568
1011448
1112038
1213538
1313568
1413578
013578
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)

prune0.0ms (0%)

Memory
1.0MiB live, 1.0MiB 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)

simplify317.0ms (5.3%)

Memory
-5.4MiB live, 33.5MiB 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
638331
768931
891631
9105631
10114431
11120331
12135331
13135631
14135731
0135729
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

localize28.0ms (0.5%)

Memory
9.0MiB live, 47.5MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
accuracy0.00390625
(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
accuracy0.00390625
(+.f64 x (*.f64 y (log.f64 y)))
accuracy0.25
(*.f64 y (log.f64 y))
Samples
22.0ms255×0valid
0.0ms1valid
Compiler

Compiled 66 to 18 computations (72.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-log: 4.0ms (39.4% of total)
ival-exp: 2.0ms (19.7% of total)
ival-mult: 2.0ms (19.7% of total)
ival-add: 1.0ms (9.8% of total)
ival-sub: 1.0ms (9.8% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series129.0ms (2.2%)

Memory
0.7MiB live, 119.5MiB allocated
Counts
4 → 108
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>) () ())
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 (* -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 (* 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 (* 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
67.0ms
y
@0
((+ x (* y (log y))) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (* y (log y)))
37.0ms
y
@-inf
((+ x (* y (log y))) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (* y (log y)))
7.0ms
y
@inf
((+ x (* y (log y))) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (* y (log y)))
6.0ms
z
@0
((+ x (* y (log y))) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (* y (log y)))
3.0ms
z
@inf
((+ x (* y (log y))) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (* y (log y)))

simplify185.0ms (3.1%)

Memory
17.7MiB live, 133.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01281007
1407910
21263875
34213843
08364784
Stop Event
iter limit
node limit
Counts
108 → 103
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))
(* -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))))
(* 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)))))
(* 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)
(+ x (+ (* -1 z) (* y (log y))))
(-.f64 (fma.f64 (log.f64 y) y x) z)
(exp (- (+ x (* y (log y))) z))
(exp.f64 (-.f64 (fma.f64 (log.f64 y) y x) z))
(exp (- (+ x (* y (log y))) z))
(exp.f64 (-.f64 (fma.f64 (log.f64 y) y x) z))
(exp (- (+ x (* y (log y))) z))
(exp.f64 (-.f64 (fma.f64 (log.f64 y) y x) z))
(exp (- (+ x (* y (log y))) z))
(exp.f64 (-.f64 (fma.f64 (log.f64 y) y x) z))
(* -1 z)
(neg.f64 z)
(* z (- (+ (/ x z) (/ (* y (log y)) z)) 1))
(-.f64 (fma.f64 (log.f64 y) y x) z)
(* z (- (+ (/ x z) (/ (* y (log y)) z)) 1))
(-.f64 (fma.f64 (log.f64 y) y x) z)
(* z (- (+ (/ x z) (/ (* y (log y)) z)) 1))
(-.f64 (fma.f64 (log.f64 y) y x) z)
(exp (+ x (+ (* -1 z) (* y (log y)))))
(exp.f64 (-.f64 (fma.f64 (log.f64 y) y x) z))
(exp (+ x (+ (* -1 z) (* y (log y)))))
(exp.f64 (-.f64 (fma.f64 (log.f64 y) y x) z))
(exp (+ x (+ (* -1 z) (* y (log y)))))
(exp.f64 (-.f64 (fma.f64 (log.f64 y) y x) z))
(exp (+ x (+ (* -1 z) (* y (log y)))))
(exp.f64 (-.f64 (fma.f64 (log.f64 y) y x) z))
(* -1 z)
(neg.f64 z)
(* -1 (* z (+ 1 (* -1 (/ (+ x (* y (log y))) z)))))
(-.f64 (fma.f64 (log.f64 y) y x) z)
(* -1 (* z (+ 1 (* -1 (/ (+ x (* y (log y))) z)))))
(-.f64 (fma.f64 (log.f64 y) y x) z)
(* -1 (* z (+ 1 (* -1 (/ (+ x (* y (log y))) z)))))
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x
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(* y (- (+ (* -1 (log (/ 1 y))) (/ x y)) (/ z y)))
(-.f64 (fma.f64 (log.f64 y) y x) z)
(* -1 (* y (log (/ 1 y))))
(*.f64 (log.f64 y) y)
(* -1 (* y (log (/ 1 y))))
(*.f64 (log.f64 y) y)
(* -1 (* y (log (/ 1 y))))
(*.f64 (log.f64 y) y)
(* -1 (* y (log (/ 1 y))))
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(exp.f64 (-.f64 (fma.f64 (log.f64 y) y x) z))
(exp (- (+ x (* y (log y))) z))
(exp.f64 (-.f64 (fma.f64 (log.f64 y) y x) z))
(exp (- (+ x (* y (log y))) z))
(exp.f64 (-.f64 (fma.f64 (log.f64 y) y x) z))
(exp (- (+ x (* y (log y))) z))
(exp.f64 (-.f64 (fma.f64 (log.f64 y) y 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))
(* y (+ (log -1) (* -1 (log (/ -1 y)))))
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) y)
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(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) 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)
(* y (log y))
(*.f64 (log.f64 y) y)
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(+ x (* y (log y)))
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(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 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) (/.f64 (pow.f64 y y) (exp.f64 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))))))))
(*.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))))
(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)

rewrite212.0ms (3.5%)

Memory
-22.0MiB live, 205.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0827
01327
14727
237626
3555826
0841324
Stop Event
iter limit
node limit
iter limit
Counts
4 → 220
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))
Outputs
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eval43.0ms (0.7%)

Memory
23.9MiB live, 110.1MiB allocated
Compiler

Compiled 7 432 to 898 computations (87.9% saved)

prune7.0ms (0.1%)

Memory
-12.2MiB live, 24.4MiB allocated
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New3203323
Fresh000
Picked101
Done000
Total3213324
Accuracy
100.0%
Counts
324 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
81.7%
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z)))
52.4%
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y)))
53.9%
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z)))
Compiler

Compiled 15 to 19 computations (-26.7% saved)

simplify90.0ms (1.5%)

Memory
-6.6MiB live, 31.9MiB 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
626490
745090
861690
967290
1069890
069884
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

localize59.0ms (1%)

Memory
28.4MiB live, 66.4MiB 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)))
accuracy18.84949777456802
#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)))
accuracy0.25
(*.f64 (log.f64 y) y)
accuracy44.38751361934708
#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)))
accuracy42.2010679141085
#s(approx (- (+ x (* y (log y))) z) (neg.f64 z))
Samples
49.0ms255×0valid
0.0ms1valid
Compiler

Compiled 110 to 26 computations (76.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-mult: 3.0ms (21.9% of total)
ival-log: 3.0ms (21.9% of total)
ival-exp: 2.0ms (14.6% of total)
ival-sub: 2.0ms (14.6% of total)
ival-add: 1.0ms (7.3% of total)
ival-neg: 1.0ms (7.3% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series58.0ms (1%)

Memory
-19.6MiB live, 99.1MiB 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>) () ())) ())
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#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
17.0ms
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))
10.0ms
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))
9.0ms
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
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))

simplify293.0ms (4.9%)

Memory
-26.2MiB live, 308.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01312526
14042260
212172173
339772095
088731972
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)))))))
(*.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))))
(fma.f64 (log.f64 y) y (-.f64 x z))
(+ x (+ (* -1 z) (* y (log y))))
(fma.f64 (log.f64 y) y (-.f64 x z))
(+ x (+ (* -1 z) (* y (log y))))
(fma.f64 (log.f64 y) y (-.f64 x z))
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(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))))
(fma.f64 (log.f64 y) y (-.f64 x z))
(+ x (+ (* -1 z) (* y (log y))))
(fma.f64 (log.f64 y) y (-.f64 x z))
(+ x (+ (* -1 z) (* y (log y))))
(fma.f64 (log.f64 y) y (-.f64 x z))
(exp (+ x (* y (log y))))
(*.f64 (pow.f64 y y) (exp.f64 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)))
(- (* 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 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) (/.f64 (pow.f64 y y) (exp.f64 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))))))))
(*.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)))
(- (* 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 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) (/.f64 (pow.f64 y y) (exp.f64 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))))))))
(*.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)))
(- (* 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)

rewrite304.0ms (5.1%)

Memory
42.3MiB live, 226.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01786
02486
16786
246986
3706586
0820680
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
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eval60.0ms (1%)

Memory
3.5MiB live, 124.6MiB allocated
Compiler

Compiled 4 558 to 558 computations (87.8% saved)

prune28.0ms (0.5%)

Memory
-20.2MiB live, 53.6MiB allocated
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New3751376
Fresh000
Picked033
Done000
Total3754379
Accuracy
100.0%
Counts
379 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
77.1%
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 x z))))
81.7%
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z)))
52.4%
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y)))
53.9%
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z)))
Compiler

Compiled 28 to 29 computations (-3.6% saved)

simplify157.0ms (2.6%)

Memory
5.0MiB live, 171.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 (neg.f64 z) z (*.f64 x x))
cost-diff0
#s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 x z)))
cost-diff0
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 x z))))
cost-diff1536
(/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 x z))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01469
02169
13569
25069
38769
415669
533551
674145
7153045
8399645
9761345
0803143
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 x z))))
#s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 x z)))
(/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 x z))
(fma.f64 (neg.f64 z) z (*.f64 x x))
(neg.f64 z)
z
(*.f64 x x)
x
(+.f64 x z)
Outputs
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 x z))))
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z)))
#s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 x z)))
#s(approx (- (+ x (* y (log y))) z) (-.f64 x z))
(/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 x z))
(-.f64 x z)
(fma.f64 (neg.f64 z) z (*.f64 x x))
(neg.f64 z)
z
(*.f64 x x)
x
(+.f64 x z)

localize67.0ms (1.1%)

Memory
9.2MiB live, 123.6MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 x z))))
accuracy3.4999614664778425
(fma.f64 (neg.f64 z) z (*.f64 x x))
accuracy18.84949777456802
#s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 x z)))
accuracy28.955447559076635
(/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 x z))
Samples
58.0ms255×0valid
0.0ms1valid
Compiler

Compiled 102 to 26 computations (74.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 47.0ms
ival-mult: 32.0ms (67.6% of total)
ival-add: 5.0ms (10.6% of total)
ival-log: 4.0ms (8.5% of total)
ival-div: 2.0ms (4.2% of total)
ival-exp: 2.0ms (4.2% of total)
ival-sub: 1.0ms (2.1% of total)
ival-neg: 1.0ms (2.1% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series27.0ms (0.5%)

Memory
10.5MiB live, 89.3MiB allocated
Counts
4 → 120
Calls
Call 1
Inputs
#s(alt (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 x z)) (patch (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 x z)) #<representation binary64>) () ())
#s(alt (exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 x z)))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 x z)))) #<representation binary64>) () ())
#s(alt #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 x z))) (patch #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 x z))) #<representation binary64>) () ())
#s(alt (fma.f64 (neg.f64 z) z (*.f64 x x)) (patch (fma.f64 (neg.f64 z) z (*.f64 x x)) #<representation binary64>) () ())
Outputs
#s(alt x (taylor 0 z) (#s(alt (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 x z)) (patch (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 z)) (taylor 0 z) (#s(alt (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 x z)) (patch (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 z)) (taylor 0 z) (#s(alt (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 x z)) (patch (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 z)) (taylor 0 z) (#s(alt (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 x z)) (patch (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (exp (+ x (* y (log y)))) (taylor 0 z) (#s(alt (exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 x z)))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 x 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) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 x z)))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 x 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) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 x z)))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 x 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) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 x z)))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 x z)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (log y))) (taylor 0 z) (#s(alt #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 x z))) (patch #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 x z))) #<representation binary64>) () ())) ())
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#s(alt (* -1 z) (taylor 0 x) (#s(alt (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 x z)) (patch (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 z)) (taylor 0 x) (#s(alt (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 x z)) (patch (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 z)) (taylor 0 x) (#s(alt (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 x z)) (patch (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 z)) (taylor 0 x) (#s(alt (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 x z)) (patch (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (exp (- (* y (log y)) z)) (taylor 0 x) (#s(alt (exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 x z)))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 x z)))) #<representation binary64>) () ())) ())
#s(alt (+ (exp (- (* y (log y)) z)) (* x (exp (- (* y (log y)) z)))) (taylor 0 x) (#s(alt (exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 x z)))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 x 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 #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 x z)))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 x 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 #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 x z)))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 x z)))) #<representation binary64>) () ())) ())
#s(alt (- (* y (log y)) z) (taylor 0 x) (#s(alt #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 x z))) (patch #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 x z))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* y (log y))) z) (taylor 0 x) (#s(alt #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 x z))) (patch #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 x z))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* y (log y))) z) (taylor 0 x) (#s(alt #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 x z))) (patch #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 x z))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* y (log y))) z) (taylor 0 x) (#s(alt #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 x z))) (patch #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 x z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow z 2)) (taylor 0 x) (#s(alt (fma.f64 (neg.f64 z) z (*.f64 x x)) (patch (fma.f64 (neg.f64 z) z (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow z 2)) (pow x 2)) (taylor 0 x) (#s(alt (fma.f64 (neg.f64 z) z (*.f64 x x)) (patch (fma.f64 (neg.f64 z) z (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow z 2)) (pow x 2)) (taylor 0 x) (#s(alt (fma.f64 (neg.f64 z) z (*.f64 x x)) (patch (fma.f64 (neg.f64 z) z (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow z 2)) (pow x 2)) (taylor 0 x) (#s(alt (fma.f64 (neg.f64 z) z (*.f64 x x)) (patch (fma.f64 (neg.f64 z) z (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 x z)) (patch (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ z x)))) (taylor inf x) (#s(alt (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 x z)) (patch (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ z x)))) (taylor inf x) (#s(alt (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 x z)) (patch (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ z x)))) (taylor inf x) (#s(alt (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 x z)) (patch (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (exp (- (+ x (* y (log y))) z)) (taylor inf x) (#s(alt (exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 x z)))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 x z)))) #<representation binary64>) () ())) ())
#s(alt (exp (- (+ x (* y (log y))) z)) (taylor inf x) (#s(alt (exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 x z)))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 x z)))) #<representation binary64>) () ())) ())
#s(alt (exp (- (+ x (* y (log y))) z)) (taylor inf x) (#s(alt (exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 x z)))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 x z)))) #<representation binary64>) () ())) ())
#s(alt (exp (- (+ x (* y (log y))) z)) (taylor inf x) (#s(alt (exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 x z)))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 x z)))) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 x z))) (patch #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 x z))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (/ (* y (log y)) x)) (/ z x))) (taylor inf x) (#s(alt #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 x z))) (patch #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 x z))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (/ (* y (log y)) x)) (/ z x))) (taylor inf x) (#s(alt #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 x z))) (patch #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 x z))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (/ (* y (log y)) x)) (/ z x))) (taylor inf x) (#s(alt #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 x z))) (patch #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 x z))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (fma.f64 (neg.f64 z) z (*.f64 x x)) (patch (fma.f64 (neg.f64 z) z (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (pow z 2) (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (neg.f64 z) z (*.f64 x x)) (patch (fma.f64 (neg.f64 z) z (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (pow z 2) (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (neg.f64 z) z (*.f64 x x)) (patch (fma.f64 (neg.f64 z) z (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (pow z 2) (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (neg.f64 z) z (*.f64 x x)) (patch (fma.f64 (neg.f64 z) z (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 x z)) (patch (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ z x) 1))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 x z)) (patch (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ z x) 1))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 x z)) (patch (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ z x) 1))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 x z)) (patch (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.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 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 x z)))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.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 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 x z)))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.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 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 x z)))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.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 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 x z)))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 x z)))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 x z))) (patch #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.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 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 x z))) (patch #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.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 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 x z))) (patch #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.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 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 x z))) (patch #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 x z))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 z) z (*.f64 x x)) (patch (fma.f64 (neg.f64 z) z (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (pow z 2) (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 z) z (*.f64 x x)) (patch (fma.f64 (neg.f64 z) z (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (pow z 2) (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 z) z (*.f64 x x)) (patch (fma.f64 (neg.f64 z) z (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (pow z 2) (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 z) z (*.f64 x x)) (patch (fma.f64 (neg.f64 z) z (*.f64 x x)) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
7.0ms
z
@inf
((/ (+ (* (neg z) z) (* x x)) (+ x z)) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (+ (* (neg z) z) (* x x)))
4.0ms
x
@0
((/ (+ (* (neg z) z) (* x x)) (+ x z)) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (+ (* (neg z) z) (* x x)))
2.0ms
z
@0
((/ (+ (* (neg z) z) (* x x)) (+ x z)) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (+ (* (neg z) z) (* x x)))
2.0ms
z
@-inf
((/ (+ (* (neg z) z) (* x x)) (+ x z)) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (+ (* (neg z) z) (* x x)))
2.0ms
x
@inf
((/ (+ (* (neg z) z) (* x x)) (+ x z)) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (+ (* (neg z) z) (* x x)))

simplify570.0ms (9.5%)

Memory
-140.4MiB live, 221.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01421027
1433921
21304892
34370866
08859825
Stop Event
iter limit
node limit
Counts
120 → 115
Calls
Call 1
Inputs
x
(+ x (* -1 z))
(+ x (* -1 z))
(+ x (* -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))))
(pow x 2)
(+ (* -1 (pow z 2)) (pow x 2))
(+ (* -1 (pow z 2)) (pow x 2))
(+ (* -1 (pow z 2)) (pow x 2))
(* -1 z)
(* z (- (/ x z) 1))
(* z (- (/ x z) 1))
(* z (- (/ x 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 (pow z 2))
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) 1))
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) 1))
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) 1))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(* -1 (* z (+ 1 (* -1 (/ x 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 (pow z 2))
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) 1))
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) 1))
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) 1))
(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))
(* 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)))))
(* -1 z)
(+ x (* -1 z))
(+ x (* -1 z))
(+ x (* -1 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 (pow z 2))
(+ (* -1 (pow z 2)) (pow x 2))
(+ (* -1 (pow z 2)) (pow x 2))
(+ (* -1 (pow z 2)) (pow x 2))
x
(* x (+ 1 (* -1 (/ z x))))
(* x (+ 1 (* -1 (/ z x))))
(* x (+ 1 (* -1 (/ 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)))
(pow x 2)
(* (pow x 2) (+ 1 (* -1 (/ (pow z 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ (pow z 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ (pow z 2) (pow x 2)))))
x
(* -1 (* x (- (/ z x) 1)))
(* -1 (* x (- (/ z x) 1)))
(* -1 (* x (- (/ 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)))
(pow x 2)
(* (pow x 2) (+ 1 (* -1 (/ (pow z 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ (pow z 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ (pow z 2) (pow x 2)))))
Outputs
x
(+ x (* -1 z))
(-.f64 x z)
(+ x (* -1 z))
(-.f64 x z)
(+ x (* -1 z))
(-.f64 x z)
(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 #s(literal 1/2 binary64) z) z (-.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))))
(fma.f64 (log.f64 y) y (-.f64 x z))
(+ x (+ (* -1 z) (* y (log y))))
(fma.f64 (log.f64 y) y (-.f64 x z))
(+ x (+ (* -1 z) (* y (log y))))
(fma.f64 (log.f64 y) y (-.f64 x z))
(pow x 2)
(*.f64 x x)
(+ (* -1 (pow z 2)) (pow x 2))
(fma.f64 (neg.f64 z) z (*.f64 x x))
(+ (* -1 (pow z 2)) (pow x 2))
(fma.f64 (neg.f64 z) z (*.f64 x x))
(+ (* -1 (pow z 2)) (pow x 2))
(fma.f64 (neg.f64 z) z (*.f64 x x))
(* -1 z)
(neg.f64 z)
(* z (- (/ x z) 1))
(-.f64 x z)
(* z (- (/ x z) 1))
(-.f64 x z)
(* z (- (/ x z) 1))
(-.f64 x z)
(exp (- (+ x (* y (log y))) z))
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
(exp (- (+ x (* y (log y))) z))
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
(exp (- (+ x (* y (log y))) z))
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
(exp (- (+ x (* y (log y))) z))
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
(* -1 z)
(neg.f64 z)
(* z (- (+ (/ x z) (/ (* y (log y)) z)) 1))
(fma.f64 (log.f64 y) y (-.f64 x z))
(* z (- (+ (/ x z) (/ (* y (log y)) z)) 1))
(fma.f64 (log.f64 y) y (-.f64 x z))
(* z (- (+ (/ x z) (/ (* y (log y)) z)) 1))
(fma.f64 (log.f64 y) y (-.f64 x z))
(* -1 (pow z 2))
(*.f64 (neg.f64 z) z)
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) 1))
(fma.f64 (neg.f64 z) z (*.f64 x x))
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) 1))
(fma.f64 (neg.f64 z) z (*.f64 x x))
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) 1))
(fma.f64 (neg.f64 z) z (*.f64 x x))
(* -1 z)
(neg.f64 z)
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(-.f64 x z)
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(-.f64 x z)
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(-.f64 x z)
(exp (+ x (+ (* -1 z) (* y (log y)))))
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
(exp (+ x (+ (* -1 z) (* y (log y)))))
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
(exp (+ x (+ (* -1 z) (* y (log y)))))
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
(exp (+ x (+ (* -1 z) (* y (log y)))))
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
(* -1 z)
(neg.f64 z)
(* -1 (* z (+ 1 (* -1 (/ (+ x (* y (log y))) z)))))
(fma.f64 (log.f64 y) y (-.f64 x z))
(* -1 (* z (+ 1 (* -1 (/ (+ x (* y (log y))) z)))))
(fma.f64 (log.f64 y) y (-.f64 x z))
(* -1 (* z (+ 1 (* -1 (/ (+ x (* y (log y))) z)))))
(fma.f64 (log.f64 y) y (-.f64 x z))
(* -1 (pow z 2))
(*.f64 (neg.f64 z) z)
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) 1))
(fma.f64 (neg.f64 z) z (*.f64 x x))
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) 1))
(fma.f64 (neg.f64 z) z (*.f64 x x))
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) 1))
(fma.f64 (neg.f64 z) z (*.f64 x x))
(exp (- x z))
(exp.f64 (-.f64 x z))
(+ (exp (- x z)) (* y (* (exp (- x z)) (log y))))
(*.f64 (fma.f64 (log.f64 y) y #s(literal 1 binary64)) (exp.f64 (-.f64 x z)))
(+ (exp (- x z)) (* y (+ (* 1/2 (* y (* (exp (- x z)) (pow (log y) 2)))) (* (exp (- x z)) (log y)))))
(*.f64 (exp.f64 (-.f64 x z)) (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) (pow.f64 (log.f64 y) #s(literal 2 binary64)) (fma.f64 (log.f64 y) y #s(literal 1 binary64))))
(+ (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)))))
(fma.f64 (*.f64 y y) (*.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (exp.f64 (-.f64 x z))) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) (log.f64 y) #s(literal 1/2 binary64))) (*.f64 (fma.f64 (log.f64 y) y #s(literal 1 binary64)) (exp.f64 (-.f64 x z))))
(- x z)
(-.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))
(- (+ x (* y (log y))) z)
(fma.f64 (log.f64 y) y (-.f64 x z))
(exp (- (+ x (* y (log y))) z))
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
(exp (- (+ x (* y (log y))) z))
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
(exp (- (+ x (* y (log y))) z))
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
(exp (- (+ x (* y (log y))) z))
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
(* -1 (* y (log (/ 1 y))))
(*.f64 (log.f64 y) y)
(* y (- (+ (* -1 (log (/ 1 y))) (/ x y)) (/ z y)))
(fma.f64 (log.f64 y) y (-.f64 x z))
(* y (- (+ (* -1 (log (/ 1 y))) (/ x y)) (/ z y)))
(fma.f64 (log.f64 y) y (-.f64 x z))
(* y (- (+ (* -1 (log (/ 1 y))) (/ x y)) (/ z y)))
(fma.f64 (log.f64 y) y (-.f64 x z))
(exp (- (+ x (* y (log y))) z))
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
(exp (- (+ x (* y (log y))) z))
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
(exp (- (+ x (* y (log y))) z))
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
(exp (- (+ x (* y (log y))) z))
(*.f64 (pow.f64 y y) (exp.f64 (-.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))
(* -1 z)
(neg.f64 z)
(+ x (* -1 z))
(-.f64 x z)
(+ x (* -1 z))
(-.f64 x z)
(+ x (* -1 z))
(-.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 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) (/.f64 (pow.f64 y y) (exp.f64 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))))))))
(*.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)))
(- (* 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 (pow z 2))
(*.f64 (neg.f64 z) z)
(+ (* -1 (pow z 2)) (pow x 2))
(fma.f64 (neg.f64 z) z (*.f64 x x))
(+ (* -1 (pow z 2)) (pow x 2))
(fma.f64 (neg.f64 z) z (*.f64 x x))
(+ (* -1 (pow z 2)) (pow x 2))
(fma.f64 (neg.f64 z) z (*.f64 x x))
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 (- (+ x (* y (log y))) z))
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
(exp (- (+ x (* y (log y))) z))
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
(exp (- (+ x (* y (log y))) z))
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
(exp (- (+ x (* y (log y))) z))
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
x
(* x (- (+ 1 (/ (* y (log y)) x)) (/ z x)))
(fma.f64 (/.f64 (-.f64 (*.f64 (log.f64 y) y) z) x) x x)
(* x (- (+ 1 (/ (* y (log y)) x)) (/ z x)))
(fma.f64 (/.f64 (-.f64 (*.f64 (log.f64 y) y) z) x) x x)
(* x (- (+ 1 (/ (* y (log y)) x)) (/ z x)))
(fma.f64 (/.f64 (-.f64 (*.f64 (log.f64 y) y) z) x) x x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -1 (/ (pow z 2) (pow x 2)))))
(fma.f64 (neg.f64 z) z (*.f64 x x))
(* (pow x 2) (+ 1 (* -1 (/ (pow z 2) (pow x 2)))))
(fma.f64 (neg.f64 z) z (*.f64 x x))
(* (pow x 2) (+ 1 (* -1 (/ (pow z 2) (pow x 2)))))
(fma.f64 (neg.f64 z) z (*.f64 x x))
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)
(exp (- (* y (log y)) (+ z (* -1 x))))
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
(exp (- (* y (log y)) (+ z (* -1 x))))
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
(exp (- (* y (log y)) (+ z (* -1 x))))
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
(exp (- (* y (log y)) (+ z (* -1 x))))
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
x
(* -1 (* x (- (* -1 (/ (- (* y (log y)) z) x)) 1)))
(fma.f64 (/.f64 (-.f64 (*.f64 (log.f64 y) y) z) x) x x)
(* -1 (* x (- (* -1 (/ (- (* y (log y)) z) x)) 1)))
(fma.f64 (/.f64 (-.f64 (*.f64 (log.f64 y) y) z) x) x x)
(* -1 (* x (- (* -1 (/ (- (* y (log y)) z) x)) 1)))
(fma.f64 (/.f64 (-.f64 (*.f64 (log.f64 y) y) z) x) x x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -1 (/ (pow z 2) (pow x 2)))))
(fma.f64 (neg.f64 z) z (*.f64 x x))
(* (pow x 2) (+ 1 (* -1 (/ (pow z 2) (pow x 2)))))
(fma.f64 (neg.f64 z) z (*.f64 x x))
(* (pow x 2) (+ 1 (* -1 (/ (pow z 2) (pow x 2)))))
(fma.f64 (neg.f64 z) z (*.f64 x x))

rewrite168.0ms (2.8%)

Memory
29.8MiB live, 336.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01459
02159
18835
270435
0846533
Stop Event
iter limit
node limit
iter limit
Counts
4 → 254
Calls
Call 1
Inputs
(/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 x z))
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 x z))))
#s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 x z)))
(fma.f64 (neg.f64 z) z (*.f64 x x))
Outputs
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eval74.0ms (1.2%)

Memory
-4.7MiB live, 112.4MiB allocated
Compiler

Compiled 7 543 to 1 261 computations (83.3% saved)

prune15.0ms (0.2%)

Memory
-11.5MiB live, 26.4MiB allocated
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New3681369
Fresh000
Picked101
Done033
Total3694373
Accuracy
100.0%
Counts
373 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.0%
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z))))
81.7%
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z)))
52.4%
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y)))
53.9%
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z)))
Compiler

Compiled 25 to 28 computations (-12% saved)

simplify678.0ms (11.3%)

Memory
17.7MiB live, 463.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01787
02187
13583
25083
38483
414083
529683
663483
7121583
8218283
9317183
10451183
11525883
12559483
13583883
14594083
15594683
16662583
17673783
18684983
19690583
20690583
21712983
22718583
23724183
24724183
0915381
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z))))
#s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z)))
(/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z))
#s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x))
(*.f64 x x)
x
(+.f64 x z)
z
Outputs
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z))))
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 z x))))
#s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z)))
#s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 z x)))
(/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z))
(/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 z x))
#s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x))
(*.f64 x x)
x
(+.f64 x z)
(+.f64 z x)
z

localize66.0ms (1.1%)

Memory
-28.0MiB live, 51.0MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z))))
accuracy18.84949777456802
#s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z)))
accuracy28.065130324639288
#s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x))
accuracy28.955447559076635
(/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z))
Samples
53.0ms255×0valid
0.0ms1valid
Compiler

Compiled 86 to 25 computations (70.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-mult: 5.0ms (26.8% of total)
ival-add: 4.0ms (21.4% of total)
ival-log: 3.0ms (16.1% of total)
ival-div: 2.0ms (10.7% of total)
ival-exp: 2.0ms (10.7% of total)
ival-sub: 1.0ms (5.4% of total)
ival-neg: 1.0ms (5.4% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series22.0ms (0.4%)

Memory
5.9MiB live, 42.4MiB allocated
Counts
4 → 120
Calls
Call 1
Inputs
#s(alt (exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z)))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z)))) #<representation binary64>) () ())
#s(alt #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z))) (patch #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z))) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z)) (patch (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (patch #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) #<representation binary64>) () ())
Outputs
#s(alt (exp (+ x (* y (log y)))) (taylor 0 z) (#s(alt (exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z)))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x 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) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z)))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x 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) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z)))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x 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) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z)))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (log y))) (taylor 0 z) (#s(alt #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z))) (patch #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.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 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z))) (patch #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.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 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z))) (patch #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.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 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z))) (patch #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 z) (#s(alt (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z)) (patch (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 z)) (taylor 0 z) (#s(alt (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z)) (patch (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 z)) (taylor 0 z) (#s(alt (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z)) (patch (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 z)) (taylor 0 z) (#s(alt (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z)) (patch (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 z) (#s(alt #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (patch #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow z 2)) (pow x 2)) (taylor 0 z) (#s(alt #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (patch #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow z 2)) (pow x 2)) (taylor 0 z) (#s(alt #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (patch #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow z 2)) (pow x 2)) (taylor 0 z) (#s(alt #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (patch #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) #<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 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z)))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.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 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z)))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.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 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z)))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.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 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z)))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z)))) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z))) (patch #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z))) #<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 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z))) (patch #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z))) #<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 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z))) (patch #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z))) #<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 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z))) (patch #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z))) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z)) (patch (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* z (- (/ x z) 1)) (taylor inf z) (#s(alt (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z)) (patch (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* z (- (/ x z) 1)) (taylor inf z) (#s(alt (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z)) (patch (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* z (- (/ x z) 1)) (taylor inf z) (#s(alt (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z)) (patch (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow z 2)) (taylor inf z) (#s(alt #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (patch #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (- (/ (pow x 2) (pow z 2)) 1)) (taylor inf z) (#s(alt #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (patch #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (- (/ (pow x 2) (pow z 2)) 1)) (taylor inf z) (#s(alt #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (patch #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (- (/ (pow x 2) (pow z 2)) 1)) (taylor inf z) (#s(alt #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (patch #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) #<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 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z)))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z)))) #<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 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z)))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z)))) #<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 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z)))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z)))) #<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 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z)))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z)))) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor -inf z) (#s(alt #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z))) (patch #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ 1 (* -1 (/ (+ x (* y (log y))) z))))) (taylor -inf z) (#s(alt #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z))) (patch #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ 1 (* -1 (/ (+ x (* y (log y))) z))))) (taylor -inf z) (#s(alt #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z))) (patch #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ 1 (* -1 (/ (+ x (* y (log y))) z))))) (taylor -inf z) (#s(alt #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z))) (patch #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z))) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor -inf z) (#s(alt (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z)) (patch (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ 1 (* -1 (/ x z))))) (taylor -inf z) (#s(alt (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z)) (patch (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ 1 (* -1 (/ x z))))) (taylor -inf z) (#s(alt (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z)) (patch (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ 1 (* -1 (/ x z))))) (taylor -inf z) (#s(alt (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z)) (patch (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow z 2)) (taylor -inf z) (#s(alt #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (patch #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (- (/ (pow x 2) (pow z 2)) 1)) (taylor -inf z) (#s(alt #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (patch #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (- (/ (pow x 2) (pow z 2)) 1)) (taylor -inf z) (#s(alt #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (patch #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow z 2) (- (/ (pow x 2) (pow z 2)) 1)) (taylor -inf z) (#s(alt #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (patch #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) #<representation binary64>) () ())) ())
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#s(alt (exp (- (* y (log y)) (+ z (* -1 x)))) (taylor -inf x) (#s(alt (exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z)))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z)))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z))) (patch #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.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 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z))) (patch #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.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 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z))) (patch #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.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 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z))) (patch #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z)) (patch (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ z x) 1))) (taylor -inf x) (#s(alt (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z)) (patch (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ z x) 1))) (taylor -inf x) (#s(alt (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z)) (patch (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ z x) 1))) (taylor -inf x) (#s(alt (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z)) (patch (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (patch #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (pow z 2) (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (patch #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (pow z 2) (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (patch #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (pow z 2) (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (patch #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) #<representation binary64>) () ())) ())
Calls

9 calls:

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

simplify162.0ms (2.7%)

Memory
15.7MiB live, 243.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01421027
1433921
21305892
34382866
08866825
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))))
x
(+ x (* -1 z))
(+ x (* -1 z))
(+ x (* -1 z))
(pow x 2)
(+ (* -1 (pow z 2)) (pow x 2))
(+ (* -1 (pow z 2)) (pow x 2))
(+ (* -1 (pow z 2)) (pow x 2))
(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))
(* -1 (pow z 2))
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) 1))
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) 1))
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) 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 (* -1 (/ x z)))))
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(* -1 (pow z 2))
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) 1))
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) 1))
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) 1))
(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))
(* 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)
(* -1 z)
(+ x (* -1 z))
(+ x (* -1 z))
(+ x (* -1 z))
(* -1 (pow z 2))
(+ (* -1 (pow z 2)) (pow x 2))
(+ (* -1 (pow z 2)) (pow x 2))
(+ (* -1 (pow z 2)) (pow x 2))
(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))))
(pow x 2)
(* (pow x 2) (+ 1 (* -1 (/ (pow z 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ (pow z 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ (pow z 2) (pow x 2)))))
(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)))
(pow x 2)
(* (pow x 2) (+ 1 (* -1 (/ (pow z 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ (pow z 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ (pow z 2) (pow x 2)))))
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 #s(literal 1/2 binary64) z) z (-.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))))
(fma.f64 (log.f64 y) y (-.f64 x z))
(+ x (+ (* -1 z) (* y (log y))))
(fma.f64 (log.f64 y) y (-.f64 x z))
(+ x (+ (* -1 z) (* y (log y))))
(fma.f64 (log.f64 y) y (-.f64 x z))
x
(+ x (* -1 z))
(-.f64 x z)
(+ x (* -1 z))
(-.f64 x z)
(+ x (* -1 z))
(-.f64 x z)
(pow x 2)
(*.f64 x x)
(+ (* -1 (pow z 2)) (pow x 2))
(fma.f64 (neg.f64 z) z (*.f64 x x))
(+ (* -1 (pow z 2)) (pow x 2))
(fma.f64 (neg.f64 z) z (*.f64 x x))
(+ (* -1 (pow z 2)) (pow x 2))
(fma.f64 (neg.f64 z) z (*.f64 x x))
(exp (- (+ x (* y (log y))) z))
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
(exp (- (+ x (* y (log y))) z))
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
(exp (- (+ x (* y (log y))) z))
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
(exp (- (+ x (* y (log y))) z))
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
(* -1 z)
(neg.f64 z)
(* z (- (+ (/ x z) (/ (* y (log y)) z)) 1))
(fma.f64 (log.f64 y) y (-.f64 x z))
(* z (- (+ (/ x z) (/ (* y (log y)) z)) 1))
(fma.f64 (log.f64 y) y (-.f64 x z))
(* z (- (+ (/ x z) (/ (* y (log y)) z)) 1))
(fma.f64 (log.f64 y) y (-.f64 x z))
(* -1 z)
(neg.f64 z)
(* z (- (/ x z) 1))
(-.f64 x z)
(* z (- (/ x z) 1))
(-.f64 x z)
(* z (- (/ x z) 1))
(-.f64 x z)
(* -1 (pow z 2))
(*.f64 (neg.f64 z) z)
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) 1))
(fma.f64 (neg.f64 z) z (*.f64 x x))
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) 1))
(fma.f64 (neg.f64 z) z (*.f64 x x))
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) 1))
(fma.f64 (neg.f64 z) z (*.f64 x x))
(exp (+ x (+ (* -1 z) (* y (log y)))))
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
(exp (+ x (+ (* -1 z) (* y (log y)))))
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
(exp (+ x (+ (* -1 z) (* y (log y)))))
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
(exp (+ x (+ (* -1 z) (* y (log y)))))
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
(* -1 z)
(neg.f64 z)
(* -1 (* z (+ 1 (* -1 (/ (+ x (* y (log y))) z)))))
(fma.f64 (log.f64 y) y (-.f64 x z))
(* -1 (* z (+ 1 (* -1 (/ (+ x (* y (log y))) z)))))
(fma.f64 (log.f64 y) y (-.f64 x z))
(* -1 (* z (+ 1 (* -1 (/ (+ x (* y (log y))) z)))))
(fma.f64 (log.f64 y) y (-.f64 x z))
(* -1 z)
(neg.f64 z)
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(-.f64 x z)
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(-.f64 x z)
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(-.f64 x z)
(* -1 (pow z 2))
(*.f64 (neg.f64 z) z)
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) 1))
(fma.f64 (neg.f64 z) z (*.f64 x x))
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) 1))
(fma.f64 (neg.f64 z) z (*.f64 x x))
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) 1))
(fma.f64 (neg.f64 z) z (*.f64 x x))
(exp (- x z))
(exp.f64 (-.f64 x z))
(+ (exp (- x z)) (* y (* (exp (- x z)) (log y))))
(*.f64 (fma.f64 (log.f64 y) y #s(literal 1 binary64)) (exp.f64 (-.f64 x z)))
(+ (exp (- x z)) (* y (+ (* 1/2 (* y (* (exp (- x z)) (pow (log y) 2)))) (* (exp (- x z)) (log y)))))
(*.f64 (exp.f64 (-.f64 x z)) (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) (pow.f64 (log.f64 y) #s(literal 2 binary64)) (fma.f64 (log.f64 y) y #s(literal 1 binary64))))
(+ (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)))))
(fma.f64 (*.f64 y y) (*.f64 (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (exp.f64 (-.f64 x z))) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) (log.f64 y) #s(literal 1/2 binary64))) (*.f64 (fma.f64 (log.f64 y) y #s(literal 1 binary64)) (exp.f64 (-.f64 x z))))
(- x z)
(-.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))
(- (+ x (* y (log y))) z)
(fma.f64 (log.f64 y) y (-.f64 x z))
(exp (- (+ x (* y (log y))) z))
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
(exp (- (+ x (* y (log y))) z))
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
(exp (- (+ x (* y (log y))) z))
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
(exp (- (+ x (* y (log y))) z))
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
(* -1 (* y (log (/ 1 y))))
(*.f64 (log.f64 y) y)
(* y (- (+ (* -1 (log (/ 1 y))) (/ x y)) (/ z y)))
(fma.f64 (log.f64 y) y (-.f64 x z))
(* y (- (+ (* -1 (log (/ 1 y))) (/ x y)) (/ z y)))
(fma.f64 (log.f64 y) y (-.f64 x z))
(* y (- (+ (* -1 (log (/ 1 y))) (/ x y)) (/ z y)))
(fma.f64 (log.f64 y) y (-.f64 x z))
(exp (- (+ x (* y (log y))) z))
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
(exp (- (+ x (* y (log y))) z))
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
(exp (- (+ x (* y (log y))) z))
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
(exp (- (+ x (* y (log y))) z))
(*.f64 (pow.f64 y y) (exp.f64 (-.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 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) (/.f64 (pow.f64 y y) (exp.f64 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))))))))
(*.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)))
(- (* 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 (* -1 z))
(-.f64 x z)
(+ x (* -1 z))
(-.f64 x z)
(+ x (* -1 z))
(-.f64 x z)
(* -1 (pow z 2))
(*.f64 (neg.f64 z) z)
(+ (* -1 (pow z 2)) (pow x 2))
(fma.f64 (neg.f64 z) z (*.f64 x x))
(+ (* -1 (pow z 2)) (pow x 2))
(fma.f64 (neg.f64 z) z (*.f64 x x))
(+ (* -1 (pow z 2)) (pow x 2))
(fma.f64 (neg.f64 z) z (*.f64 x x))
(exp (- (+ x (* y (log y))) z))
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
(exp (- (+ x (* y (log y))) z))
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
(exp (- (+ x (* y (log y))) z))
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
(exp (- (+ x (* y (log y))) z))
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
x
(* x (- (+ 1 (/ (* y (log y)) x)) (/ z x)))
(fma.f64 (/.f64 (-.f64 (*.f64 (log.f64 y) y) z) x) x x)
(* x (- (+ 1 (/ (* y (log y)) x)) (/ z x)))
(fma.f64 (/.f64 (-.f64 (*.f64 (log.f64 y) y) z) x) x x)
(* x (- (+ 1 (/ (* y (log y)) x)) (/ z x)))
(fma.f64 (/.f64 (-.f64 (*.f64 (log.f64 y) y) z) x) x x)
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)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -1 (/ (pow z 2) (pow x 2)))))
(fma.f64 (neg.f64 z) z (*.f64 x x))
(* (pow x 2) (+ 1 (* -1 (/ (pow z 2) (pow x 2)))))
(fma.f64 (neg.f64 z) z (*.f64 x x))
(* (pow x 2) (+ 1 (* -1 (/ (pow z 2) (pow x 2)))))
(fma.f64 (neg.f64 z) z (*.f64 x x))
(exp (- (* y (log y)) (+ z (* -1 x))))
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
(exp (- (* y (log y)) (+ z (* -1 x))))
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
(exp (- (* y (log y)) (+ z (* -1 x))))
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
(exp (- (* y (log y)) (+ z (* -1 x))))
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
x
(* -1 (* x (- (* -1 (/ (- (* y (log y)) z) x)) 1)))
(fma.f64 (/.f64 (-.f64 (*.f64 (log.f64 y) y) z) x) x x)
(* -1 (* x (- (* -1 (/ (- (* y (log y)) z) x)) 1)))
(fma.f64 (/.f64 (-.f64 (*.f64 (log.f64 y) y) z) x) x x)
(* -1 (* x (- (* -1 (/ (- (* y (log y)) z) x)) 1)))
(fma.f64 (/.f64 (-.f64 (*.f64 (log.f64 y) y) z) x) x x)
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)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -1 (/ (pow z 2) (pow x 2)))))
(fma.f64 (neg.f64 z) z (*.f64 x x))
(* (pow x 2) (+ 1 (* -1 (/ (pow z 2) (pow x 2)))))
(fma.f64 (neg.f64 z) z (*.f64 x x))
(* (pow x 2) (+ 1 (* -1 (/ (pow z 2) (pow x 2)))))
(fma.f64 (neg.f64 z) z (*.f64 x x))

rewrite300.0ms (5%)

Memory
-18.2MiB live, 321.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01779
02179
18875
267875
0854273
Stop Event
iter limit
node limit
iter limit
Counts
4 → 60
Calls
Call 1
Inputs
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z))))
#s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z)))
(/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z))
#s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x))
Outputs
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>

eval31.0ms (0.5%)

Memory
-1.0MiB live, 37.9MiB allocated
Compiler

Compiled 2 464 to 366 computations (85.1% saved)

prune6.0ms (0.1%)

Memory
20.1MiB live, 20.1MiB allocated
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New1750175
Fresh000
Picked011
Done033
Total1754179
Accuracy
100.0%
Counts
179 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.0%
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z))))
81.7%
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z)))
52.4%
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y)))
53.9%
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z)))
Compiler

Compiled 72 to 55 computations (23.6% saved)

regimes21.0ms (0.4%)

Memory
10.5MiB live, 46.9MiB allocated
Counts
6 → 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 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z))))
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.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:

5.0ms
(+.f64 x (*.f64 y (log.f64 y)))
3.0ms
(*.f64 y (log.f64 y))
3.0ms
y
3.0ms
(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
3.0ms
z
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)

regimes22.0ms (0.4%)

Memory
-16.9MiB live, 52.7MiB allocated
Counts
5 → 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 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z))))
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.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:

5.0ms
x
5.0ms
(+.f64 x (*.f64 y (log.f64 y)))
3.0ms
(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
2.0ms
(*.f64 y (log.f64 y))
2.0ms
y
Results
AccuracySegmentsBranch
85.5%3x
91.2%2y
81.7%1z
83.7%2(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
86.4%2(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
86.7%2(+.f64 x (*.f64 y (log.f64 y)))
91.2%2(*.f64 y (log.f64 y))
Compiler

Compiled 30 to 35 computations (-16.7% saved)

regimes26.0ms (0.4%)

Memory
9.8MiB live, 55.6MiB 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 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 x z))))
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 x z))))
Outputs
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z)))
Calls

7 calls:

12.0ms
(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
2.0ms
(*.f64 y (log.f64 y))
2.0ms
z
2.0ms
(+.f64 x (*.f64 y (log.f64 y)))
2.0ms
y
Results
AccuracySegmentsBranch
81.7%1z
81.7%1(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
81.7%1x
81.7%1(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
81.7%1(+.f64 x (*.f64 y (log.f64 y)))
81.7%1y
81.7%1(*.f64 y (log.f64 y))
Compiler

Compiled 30 to 35 computations (-16.7% saved)

regimes11.0ms (0.2%)

Memory
-9.3MiB live, 29.2MiB 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:

3.0ms
y
1.0ms
(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
1.0ms
(+.f64 x (*.f64 y (log.f64 y)))
1.0ms
(*.f64 y (log.f64 y))
1.0ms
x
Results
AccuracySegmentsBranch
53.9%1x
53.9%1(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
53.9%1y
53.9%1(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
53.9%1(+.f64 x (*.f64 y (log.f64 y)))
53.9%1(*.f64 y (log.f64 y))
53.9%1z
Compiler

Compiled 30 to 35 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.813111063558027e+118
7.966186610480508e+122
Compiler

Compiled 12 to 14 computations (-16.7% saved)

simplify58.0ms (1%)

Memory
10.4MiB live, 49.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02468
13868
25168
37068
49768
515168
631568
784968
8380868
Stop Event
node limit
Calls
Call 1
Inputs
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
(if (<=.f64 (*.f64 y (log.f64 y)) #s(literal 49999999999999997208377623627466690637486435190095003412116017803818992811380155502205974802370865683036809141768159232 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 49999999999999997208377623627466690637486435190095003412116017803818992811380155502205974802370865683036809141768159232 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 49999999999999997208377623627466690637486435190095003412116017803818992811380155502205974802370865683036809141768159232 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)))

soundness292.0ms (4.9%)

Memory
-3.4MiB live, 192.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01281007
1407910
21263875
34213843
08364784
Stop Event
done
iter limit
node limit
Compiler

Compiled 52 to 40 computations (23.1% saved)

preprocess89.0ms (1.5%)

Memory
-33.7MiB live, 148.4MiB 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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