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

Time bar (total: 5.6s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze1.0ms (0%)

Memory
0.7MiB live, 0.7MiB 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)

sample843.0ms (15.1%)

Memory
44.8MiB live, 1 214.0MiB allocated
Samples
566.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 355.0ms
ival-log: 137.0ms (38.6% of total)
ival-mult: 66.0ms (18.6% of total)
ival-exp: 58.0ms (16.3% of total)
ival-sub: 43.0ms (12.1% of total)
ival-add: 40.0ms (11.3% of total)
ival-true: 7.0ms (2% of total)
ival-assert: 3.0ms (0.8% of total)
Bogosity

explain116.0ms (2.1%)

Memory
-7.8MiB live, 151.5MiB 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
52.0ms510×0valid
0.0ms1valid
Compiler

Compiled 77 to 28 computations (63.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 35.0ms
ival-exp: 18.0ms (52% of total)
ival-log: 7.0ms (20.2% of total)
ival-mult: 4.0ms (11.6% of total)
ival-add: 2.0ms (5.8% of total)
ival-sub: 2.0ms (5.8% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess297.0ms (5.3%)

Memory
0.3MiB live, 79.3MiB allocated
Algorithm
egg-herbie
Rules
928×div-sub
850×exp-sum
752×sub-neg
706×exp-prod
634×cancel-sign-sub-inv
Iterations

Useful iterations: 2 (0.0ms)

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

Compiled 9 to 8 computations (11.1% saved)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.3MiB live, 1.3MiB 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)

simplify41.0ms (0.7%)

Memory
5.9MiB live, 42.5MiB 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)))
Rules
416×lower-fma.f64
416×lower-fma.f32
288×lower-*.f32
286×lower-*.f64
266×exp-sum
Iterations

Useful iterations: 0 (0.0ms)

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

localize27.0ms (0.5%)

Memory
7.9MiB live, 45.4MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
accuracy0.0078125
(+.f64 x (*.f64 y (log.f64 y)))
accuracy0.01171875
(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
accuracy0.265625
(*.f64 y (log.f64 y))
Samples
21.0ms255×0valid
0.0ms1valid
Compiler

Compiled 34 to 10 computations (70.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-log: 3.0ms (30.4% of total)
ival-exp: 2.0ms (20.2% of total)
ival-mult: 2.0ms (20.2% of total)
ival-add: 1.0ms (10.1% of total)
ival-sub: 1.0ms (10.1% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series178.0ms (3.2%)

Memory
-53.4MiB live, 100.6MiB 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
50.0ms
y
@0
((+ x (* y (log y))) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (* y (log y)))
13.0ms
y
@-inf
((+ x (* y (log y))) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (* y (log y)))
6.0ms
y
@inf
((+ x (* y (log y))) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (* y (log y)))
5.0ms
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)))

simplify161.0ms (2.9%)

Memory
34.6MiB live, 149.5MiB allocated
Algorithm
egg-herbie
Rules
12 444×lower-fma.f64
12 444×lower-fma.f32
5 864×lower-*.f64
5 864×lower-*.f32
1 620×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01281007
1407910
21245875
34149843
08320785
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)))))
(-.f64 (fma.f64 (log.f64 y) y x) z)
x
(+ x (* y (log y)))
(fma.f64 (log.f64 y) y x)
(+ x (* y (log y)))
(fma.f64 (log.f64 y) y x)
(+ x (* y (log y)))
(fma.f64 (log.f64 y) y 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)
(-.f64 (fma.f64 (log.f64 y) y x) z)
(- (+ x (* y (log y))) z)
(-.f64 (fma.f64 (log.f64 y) y x) z)
(- (+ x (* y (log y))) z)
(-.f64 (fma.f64 (log.f64 y) y x) z)
(* y (log y))
(*.f64 (log.f64 y) y)
(* y (log y))
(*.f64 (log.f64 y) y)
(* y (log y))
(*.f64 (log.f64 y) y)
(* y (log y))
(*.f64 (log.f64 y) y)
(* -1 (* y (log (/ 1 y))))
(*.f64 (log.f64 y) y)
(* y (+ (* -1 (log (/ 1 y))) (/ x y)))
(fma.f64 (log.f64 y) y x)
(* y (+ (* -1 (log (/ 1 y))) (/ x y)))
(fma.f64 (log.f64 y) y x)
(* y (+ (* -1 (log (/ 1 y))) (/ x y)))
(fma.f64 (log.f64 y) y x)
(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 (* y (log (/ 1 y))))
(*.f64 (log.f64 y) y)
(* y (- (+ (* -1 (log (/ 1 y))) (/ x y)) (/ z y)))
(-.f64 (fma.f64 (log.f64 y) y x) z)
(* y (- (+ (* -1 (log (/ 1 y))) (/ x y)) (/ z y)))
(-.f64 (fma.f64 (log.f64 y) y x) z)
(* 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))))
(*.f64 (log.f64 y) y)
(* 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 y)))))
(fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) y x)
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ x y)))))
(fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) y x)
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ x y)))))
(fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) y x)
(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))
(* 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)
(* 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 -1) (* -1 (log (/ -1 y)))))
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) y)
(* 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)
(+ x (* y (log y)))
(fma.f64 (log.f64 y) y x)
(+ x (* y (log y)))
(fma.f64 (log.f64 y) y x)
(+ x (* y (log y)))
(fma.f64 (log.f64 y) y x)
(exp (- (* y (log y)) z))
(/.f64 (pow.f64 y y) (exp.f64 z))
(+ (exp (- (* y (log y)) z)) (* x (exp (- (* y (log y)) z))))
(*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (pow.f64 y y) (exp.f64 z)))
(+ (exp (- (* y (log y)) z)) (* x (+ (exp (- (* y (log y)) z)) (* 1/2 (* x (exp (- (* y (log y)) z)))))))
(*.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (+.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x))
(+ (exp (- (* y (log y)) z)) (* x (+ (exp (- (* y (log y)) z)) (* x (+ (* 1/6 (* x (exp (- (* y (log y)) z)))) (* 1/2 (exp (- (* y (log y)) z))))))))
(*.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)
(-.f64 (fma.f64 (log.f64 y) y x) z)
(- (+ x (* y (log y))) z)
(-.f64 (fma.f64 (log.f64 y) y x) z)
(- (+ x (* y (log y))) z)
(-.f64 (fma.f64 (log.f64 y) y x) z)
x
(* x (+ 1 (/ (* y (log y)) x)))
(fma.f64 (log.f64 y) y x)
(* x (+ 1 (/ (* y (log y)) x)))
(fma.f64 (log.f64 y) y x)
(* x (+ 1 (/ (* y (log y)) x)))
(fma.f64 (log.f64 y) y x)
(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))
x
(* x (- (+ 1 (/ (* y (log y)) x)) (/ z x)))
(-.f64 (fma.f64 (log.f64 y) y x) z)
(* x (- (+ 1 (/ (* y (log y)) x)) (/ z x)))
(-.f64 (fma.f64 (log.f64 y) y x) z)
(* x (- (+ 1 (/ (* y (log y)) x)) (/ z x)))
(-.f64 (fma.f64 (log.f64 y) y x) z)
x
(* -1 (* x (- (* -1 (/ (* y (log y)) x)) 1)))
(fma.f64 (log.f64 y) y x)
(* -1 (* x (- (* -1 (/ (* y (log y)) x)) 1)))
(fma.f64 (log.f64 y) y x)
(* -1 (* x (- (* -1 (/ (* y (log y)) x)) 1)))
(fma.f64 (log.f64 y) y x)
(exp (- (* y (log y)) (+ z (* -1 x))))
(exp.f64 (-.f64 (fma.f64 (log.f64 y) y x) z))
(exp (- (* y (log y)) (+ z (* -1 x))))
(exp.f64 (-.f64 (fma.f64 (log.f64 y) y x) z))
(exp (- (* y (log y)) (+ z (* -1 x))))
(exp.f64 (-.f64 (fma.f64 (log.f64 y) y x) z))
(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)

rewrite185.0ms (3.3%)

Memory
-13.8MiB live, 252.4MiB allocated
Rules
4 714×lower-fma.f64
4 714×lower-fma.f32
4 450×lower-*.f32
4 448×lower-*.f64
2 382×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0827
01327
14727
237626
3551226
0836724
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 (0.8%)

Memory
22.6MiB live, 106.9MiB allocated
Compiler

Compiled 7 433 to 898 computations (87.9% saved)

prune326.0ms (5.8%)

Memory
-20.9MiB live, 17.1MiB 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
76.3%
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z)))
60.5%
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y)))
52.3%
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z)))
Compiler

Compiled 15 to 19 computations (-26.7% saved)

simplify17.0ms (0.3%)

Memory
18.0MiB live, 18.0MiB 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)))
Rules
400×lower-fma.f64
400×lower-fma.f32
160×lower-*.f32
158×lower-*.f64
122×cancel-sign-sub-inv
Iterations

Useful iterations: 0 (0.0ms)

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

localize59.0ms (1%)

Memory
10.1MiB live, 48.5MiB 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)))
accuracy24.904401688610506
#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)))
accuracy0.265625
(*.f64 (log.f64 y) y)
accuracy38.361442537162866
#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)))
accuracy44.90730724506009
#s(approx (- (+ x (* y (log y))) z) (neg.f64 z))
Samples
50.0ms255×0valid
0.0ms1valid
Compiler

Compiled 68 to 13 computations (80.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-log: 5.0ms (32.3% of total)
ival-mult: 3.0ms (19.4% of total)
ival-sub: 3.0ms (19.4% of total)
ival-exp: 2.0ms (12.9% of total)
ival-add: 1.0ms (6.5% of total)
ival-neg: 1.0ms (6.5% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series132.0ms (2.4%)

Memory
-37.4MiB live, 88.0MiB 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>) () ())
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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 (log.f64 y) y))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y)) (patch #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (* y (log y)) z) x)) 1))) (taylor -inf x) (#s(alt #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y)) (patch #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (* y (log y)) z) x)) 1))) (taylor -inf x) (#s(alt #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y)) (patch #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (* y (log y)) z) x)) 1))) (taylor -inf x) (#s(alt #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y)) (patch #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (exp (- (* y (log y)) (+ z (* -1 x)))) (taylor -inf x) (#s(alt (exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z))) #<representation binary64>) () ())) ())
#s(alt (exp (- (* y (log y)) (+ z (* -1 x)))) (taylor -inf x) (#s(alt (exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z))) #<representation binary64>) () ())) ())
#s(alt (exp (- (* y (log y)) (+ z (* -1 x)))) (taylor -inf x) (#s(alt (exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z))) #<representation binary64>) () ())) ())
#s(alt (exp (- (* y (log y)) (+ z (* -1 x)))) (taylor -inf x) (#s(alt (exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt #s(approx (- (+ x (* y (log y))) z) (-.f64 x z)) (patch #s(approx (- (+ x (* y (log y))) z) (-.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (* y (log y)) z) x)) 1))) (taylor -inf x) (#s(alt #s(approx (- (+ x (* y (log y))) z) (-.f64 x z)) (patch #s(approx (- (+ x (* y (log y))) z) (-.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (* y (log y)) z) x)) 1))) (taylor -inf x) (#s(alt #s(approx (- (+ x (* y (log y))) z) (-.f64 x z)) (patch #s(approx (- (+ x (* y (log y))) z) (-.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (* y (log y)) z) x)) 1))) (taylor -inf x) (#s(alt #s(approx (- (+ x (* y (log y))) z) (-.f64 x z)) (patch #s(approx (- (+ x (* y (log y))) z) (-.f64 x z)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 x z) (patch (-.f64 x z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ z x) 1))) (taylor -inf x) (#s(alt (-.f64 x z) (patch (-.f64 x z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ z x) 1))) (taylor -inf x) (#s(alt (-.f64 x z) (patch (-.f64 x z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ z x) 1))) (taylor -inf x) (#s(alt (-.f64 x z) (patch (-.f64 x z) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
49.0ms
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))
48.0ms
z
@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))

simplify189.0ms (3.4%)

Memory
19.8MiB live, 177.1MiB allocated
Algorithm
egg-herbie
Rules
12 748×lower-fma.f64
12 748×lower-fma.f32
5 652×lower-*.f64
5 652×lower-*.f32
2 274×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

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

rewrite227.0ms (4.1%)

Memory
-5.4MiB live, 269.0MiB allocated
Rules
5 844×lower-fma.f64
5 844×lower-fma.f32
4 428×lower-*.f32
4 426×lower-*.f64
3 206×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01786
02486
16786
246986
3702186
0816280
Stop Event
iter limit
node limit
iter limit
Counts
10 → 109
Calls
Call 1
Inputs
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z)))
#s(approx (- (+ x (* y (log y))) z) (neg.f64 z))
(neg.f64 z)
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y)))
#s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y))
(*.f64 (log.f64 y) y)
(log.f64 y)
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z)))
#s(approx (- (+ x (* y (log y))) z) (-.f64 x z))
(-.f64 x z)
Outputs
#<batchref>
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eval52.0ms (0.9%)

Memory
-0.6MiB live, 125.9MiB allocated
Compiler

Compiled 4 615 to 564 computations (87.8% saved)

prune11.0ms (0.2%)

Memory
26.3MiB live, 26.3MiB allocated
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New3742376
Fresh000
Picked033
Done000
Total3745379
Accuracy
100.0%
Counts
379 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
74.3%
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 z x))))
76.3%
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z)))
52.3%
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) z))))
60.5%
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y)))
52.3%
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z)))
Compiler

Compiled 38 to 39 computations (-2.6% saved)

simplify231.0ms (4.1%)

Memory
-8.6MiB live, 174.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 8 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 z x)))
cost-diff0
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 z x))))
cost-diff1536
(/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 z x))
cost-diff0
(*.f64 (neg.f64 z) z)
cost-diff0
#s(approx (- (+ x (* y (log y))) z) (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) z)))
cost-diff0
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) z))))
cost-diff1344
(*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) z))
Rules
6 640×lower-fma.f32
6 638×lower-fma.f64
3 270×lower-*.f32
3 264×lower-*.f64
2 172×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
020123
030135
150115
289105
3179105
4401105
5158687
6305581
7514781
0822077
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) z))))
#s(approx (- (+ x (* y (log y))) z) (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) z))
(*.f64 (neg.f64 z) z)
(neg.f64 z)
z
(/.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 z x))))
#s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 z x)))
(/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 z x))
(fma.f64 (neg.f64 z) z (*.f64 x x))
(neg.f64 z)
z
(*.f64 x x)
x
(+.f64 z x)
Outputs
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) z))))
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z)))
#s(approx (- (+ x (* y (log y))) z) (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) z)))
#s(approx (- (+ x (* y (log y))) z) (neg.f64 z))
(*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) z))
(neg.f64 z)
(*.f64 (neg.f64 z) z)
(neg.f64 z)
z
(/.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 z x))))
(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 z x)))
#s(approx (- (+ x (* y (log y))) z) (-.f64 x z))
(/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 z x))
(-.f64 x z)
(fma.f64 (neg.f64 z) z (*.f64 x x))
(neg.f64 z)
z
(*.f64 x x)
x
(+.f64 z x)

localize79.0ms (1.4%)

Memory
26.1MiB live, 96.7MiB allocated
Localize:

Found 8 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 z x))))
accuracy2.249975228450042
(fma.f64 (neg.f64 z) z (*.f64 x x))
accuracy24.904401688610506
#s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 z x)))
accuracy29.740481238962662
(/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 z x))
accuracy0
(neg.f64 z)
accuracy0
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) z))))
accuracy32.75019149365244
(*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) z))
accuracy44.90730724506009
#s(approx (- (+ x (* y (log y))) z) (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) z)))
Samples
35.0ms255×0valid
0.0ms1valid
Compiler

Compiled 85 to 19 computations (77.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-mult: 7.0ms (32% of total)
ival-div: 4.0ms (18.3% of total)
ival-log: 4.0ms (18.3% of total)
ival-add: 3.0ms (13.7% of total)
ival-exp: 2.0ms (9.1% of total)
ival-sub: 1.0ms (4.6% of total)
ival-neg: 1.0ms (4.6% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series47.0ms (0.8%)

Memory
-24.1MiB live, 60.8MiB allocated
Counts
9 → 228
Calls
Call 1
Inputs
#s(alt (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) z)) (patch (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())
#s(alt (exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) z)))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) z)))) #<representation binary64>) () ())
#s(alt #s(approx (- (+ x (* y (log y))) z) (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) z))) (patch #s(approx (- (+ x (* y (log y))) z) (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) z))) #<representation binary64>) () ())
#s(alt (*.f64 (neg.f64 z) z) (patch (*.f64 (neg.f64 z) z) #<representation binary64>) () ())
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#s(alt #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 z x))) (patch #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 z x))) #<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>) () ())
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())
Outputs
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#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 z x))) (patch #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 z x))) #<representation binary64>) () ())) ())
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#s(alt (pow x 2) (taylor 0 z) (#s(alt (fma.f64 (neg.f64 z) z (*.f64 x x)) (patch (fma.f64 (neg.f64 z) z (*.f64 x x)) #<representation binary64>) () ())) ())
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#s(alt (* -1 z) (taylor inf z) (#s(alt (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) z)) (patch (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ())
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#s(alt (* -1 z) (taylor inf z) (#s(alt (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) z)) (patch (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) 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 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) z)))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) z)))) #<representation binary64>) () ())) ())
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#s(alt (* x (+ 1 (* -1 (/ z x)))) (taylor inf x) (#s(alt (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 z x)) (patch (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 z x)) #<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 z x)) (patch (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 z x)) #<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 z x)))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 z x)))) #<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 z x)))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 z x)))) #<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 z x)))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 z x)))) #<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 z x)))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 z x)))) #<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 z x))) (patch #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 z x))) #<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 z x))) (patch #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 z x))) #<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 z x))) (patch #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 z x))) #<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 z x))) (patch #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 z x))) #<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 (exp (- (* y (log y)) (+ z (* -1 x)))) (taylor -inf x) (#s(alt (exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) z)))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) 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 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) z)))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) 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 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) z)))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) 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 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) z)))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) z)))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt #s(approx (- (+ x (* y (log y))) z) (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) z))) (patch #s(approx (- (+ x (* y (log y))) z) (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) 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 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) z))) (patch #s(approx (- (+ x (* y (log y))) z) (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) 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 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) z))) (patch #s(approx (- (+ x (* y (log y))) z) (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) 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 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) z))) (patch #s(approx (- (+ x (* y (log y))) z) (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) z))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 z x)) (patch (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 z x)) #<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 z x)) (patch (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 z x)) #<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 z x)) (patch (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 z x)) #<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 z x)) (patch (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 z x)) #<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 z x)))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 z x)))) #<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 z x)))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 z x)))) #<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 z x)))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 z x)))) #<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 z x)))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 z x)))) #<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 z x))) (patch #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 z x))) #<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 z x))) (patch #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 z x))) #<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 z x))) (patch #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 z x))) #<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 z x))) (patch #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 z x))) #<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
21.0ms
z
@inf
((* (* (neg z) z) (/ 1 z)) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (* (neg z) z) (/ (+ (* (neg z) z) (* x x)) (+ z x)) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (+ (* (neg z) z) (* x x)) (neg z))
3.0ms
z
@0
((* (* (neg z) z) (/ 1 z)) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (* (neg z) z) (/ (+ (* (neg z) z) (* x x)) (+ z x)) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (+ (* (neg z) z) (* x x)) (neg z))
2.0ms
x
@0
((* (* (neg z) z) (/ 1 z)) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (* (neg z) z) (/ (+ (* (neg z) z) (* x x)) (+ z x)) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (+ (* (neg z) z) (* x x)) (neg z))
2.0ms
z
@-inf
((* (* (neg z) z) (/ 1 z)) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (* (neg z) z) (/ (+ (* (neg z) z) (* x x)) (+ z x)) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (+ (* (neg z) z) (* x x)) (neg z))
2.0ms
x
@-inf
((* (* (neg z) z) (/ 1 z)) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (* (neg z) z) (/ (+ (* (neg z) z) (* x x)) (+ z x)) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (+ (* (neg z) z) (* x x)) (neg z))

simplify168.0ms (3%)

Memory
42.0MiB live, 248.4MiB allocated
Algorithm
egg-herbie
Rules
10 736×lower-fma.f64
10 736×lower-fma.f32
5 724×lower-*.f64
5 724×lower-*.f32
2 506×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01421922
14331728
212921670
343341652
084921574
Stop Event
iter limit
node limit
Counts
228 → 221
Calls
Call 1
Inputs
(* -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))))
(* -1 (pow z 2))
(* -1 (pow z 2))
(* -1 (pow z 2))
(* -1 (pow z 2))
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)
(* -1 z)
(* -1 z)
(* -1 z)
(* -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))
(* -1 (pow z 2))
(* -1 (pow z 2))
(* -1 (pow z 2))
(* -1 (pow z 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 z)
(* -1 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)))))
(* -1 (pow z 2))
(* -1 (pow z 2))
(* -1 (pow z 2))
(* -1 (pow z 2))
(* -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))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 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)
(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)))
(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)))))
(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))
(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))
(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 (- (+ 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)))))
(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)))
(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
(* -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)) (+.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 #s(literal 1/2 binary64) z) 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))))))))))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (pow.f64 y y)) (exp.f64 x) (*.f64 (*.f64 z z) (*.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) (*.f64 (pow.f64 y y) (exp.f64 x)))))
(+ 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)
(* -1 (pow z 2))
(*.f64 (neg.f64 z) z)
(* -1 (pow z 2))
(*.f64 (neg.f64 z) z)
(* -1 (pow z 2))
(*.f64 (neg.f64 z) z)
(* -1 (pow z 2))
(*.f64 (neg.f64 z) z)
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)) (+.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 #s(literal 1/2 binary64) z) 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))))))))))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (pow.f64 y y)) (exp.f64 x) (*.f64 (*.f64 z z) (*.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) (*.f64 (pow.f64 y y) (exp.f64 x)))))
(+ 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)
(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)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 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))) 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)
(* -1 (pow z 2))
(*.f64 (neg.f64 z) z)
(* -1 (pow z 2))
(*.f64 (neg.f64 z) z)
(* -1 (pow z 2))
(*.f64 (neg.f64 z) z)
(* -1 (pow z 2))
(*.f64 (neg.f64 z) 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)
(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)
(* -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)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 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)))))
(-.f64 (fma.f64 (log.f64 y) y x) z)
(* -1 (pow z 2))
(*.f64 (neg.f64 z) z)
(* -1 (pow z 2))
(*.f64 (neg.f64 z) z)
(* -1 (pow z 2))
(*.f64 (neg.f64 z) z)
(* -1 (pow z 2))
(*.f64 (neg.f64 z) 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)
(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)))))
(-.f64 (fma.f64 (log.f64 y) y 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)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(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)))))
(fma.f64 (*.f64 (exp.f64 (-.f64 x z)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) y) (log.f64 y))) y (exp.f64 (-.f64 x z)))
(+ (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 (exp.f64 (-.f64 x z)) (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 (log.f64 y) #s(literal 3 binary64)) y) (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) #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)
(-.f64 (fma.f64 (log.f64 y) y x) z)
(- (+ x (* y (log y))) z)
(-.f64 (fma.f64 (log.f64 y) y x) z)
(- (+ x (* y (log y))) z)
(-.f64 (fma.f64 (log.f64 y) y x) z)
(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)))))
(fma.f64 (*.f64 (exp.f64 (-.f64 x z)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) y) (log.f64 y))) y (exp.f64 (-.f64 x z)))
(+ (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 (exp.f64 (-.f64 x z)) (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 (log.f64 y) #s(literal 3 binary64)) y) (*.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) #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)
(-.f64 (fma.f64 (log.f64 y) y x) z)
(- (+ x (* y (log y))) z)
(-.f64 (fma.f64 (log.f64 y) y x) z)
(- (+ x (* y (log y))) z)
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(exp (- (+ x (* y (log y))) z))
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(exp (- (+ x (* y (log y))) z))
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(* -1 (* y (log (/ 1 y))))
(*.f64 (log.f64 y) y)
(* y (- (+ (* -1 (log (/ 1 y))) (/ x y)) (/ z y)))
(-.f64 (fma.f64 (log.f64 y) y x) z)
(* y (- (+ (* -1 (log (/ 1 y))) (/ x y)) (/ z y)))
(-.f64 (fma.f64 (log.f64 y) y x) z)
(* y (- (+ (* -1 (log (/ 1 y))) (/ x y)) (/ z y)))
(-.f64 (fma.f64 (log.f64 y) y x) z)
(exp (- (+ x (* y (log y))) z))
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(exp (- (+ x (* y (log y))) z))
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(* -1 (* y (log (/ 1 y))))
(*.f64 (log.f64 y) y)
(* y (- (+ (* -1 (log (/ 1 y))) (/ x y)) (/ z y)))
(-.f64 (fma.f64 (log.f64 y) y x) z)
(* y (- (+ (* -1 (log (/ 1 y))) (/ x y)) (/ z y)))
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(exp (- (+ x (* y (log y))) z))
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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)
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ (- x z) y)))))
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(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ (- x z) y)))))
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(* y (+ (log -1) (* -1 (log (/ -1 y)))))
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(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ (- x z) y)))))
(fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) y (-.f64 x z))
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ (- x z) y)))))
(fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))) y (-.f64 x z))
(exp (- (* y (log y)) z))
(/.f64 (pow.f64 y y) (exp.f64 z))
(+ (exp (- (* y (log y)) z)) (* x (exp (- (* y (log y)) z))))
(*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (pow.f64 y y) (exp.f64 z)))
(+ (exp (- (* y (log y)) z)) (* x (+ (exp (- (* y (log y)) z)) (* 1/2 (* x (exp (- (* y (log y)) z)))))))
(*.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)))
(+ (exp (- (* y (log y)) z)) (* x (+ (exp (- (* y (log y)) z)) (* x (+ (* 1/6 (* x (exp (- (* y (log y)) z)))) (* 1/2 (exp (- (* y (log y)) z))))))))
(fma.f64 (*.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))) x (/.f64 (pow.f64 y y) (exp.f64 z)))
(- (* y (log y)) z)
(-.f64 (*.f64 (log.f64 y) y) z)
(- (+ x (* y (log y))) z)
(-.f64 (fma.f64 (log.f64 y) y x) z)
(- (+ x (* y (log y))) z)
(-.f64 (fma.f64 (log.f64 y) y x) z)
(- (+ x (* y (log y))) z)
(-.f64 (fma.f64 (log.f64 y) y 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 (/.f64 (pow.f64 y y) (exp.f64 z)) (+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)))
(+ (exp (- (* y (log y)) z)) (* x (+ (exp (- (* y (log y)) z)) (* x (+ (* 1/6 (* x (exp (- (* y (log y)) z)))) (* 1/2 (exp (- (* y (log y)) z))))))))
(fma.f64 (*.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))) x (/.f64 (pow.f64 y y) (exp.f64 z)))
(- (* y (log y)) z)
(-.f64 (*.f64 (log.f64 y) y) z)
(- (+ x (* y (log y))) z)
(-.f64 (fma.f64 (log.f64 y) y x) z)
(- (+ x (* y (log y))) z)
(-.f64 (fma.f64 (log.f64 y) y x) z)
(- (+ x (* y (log y))) z)
(-.f64 (fma.f64 (log.f64 y) y 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))
(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))
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)
(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))
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))
(exp (- (* y (log y)) (+ z (* -1 x))))
(exp.f64 (-.f64 (fma.f64 (log.f64 y) y x) z))
(exp (- (* y (log y)) (+ z (* -1 x))))
(exp.f64 (-.f64 (fma.f64 (log.f64 y) y x) z))
(exp (- (* y (log y)) (+ z (* -1 x))))
(exp.f64 (-.f64 (fma.f64 (log.f64 y) y x) z))
(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)))
(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)
(exp (- (* y (log y)) (+ z (* -1 x))))
(exp.f64 (-.f64 (fma.f64 (log.f64 y) y x) z))
(exp (- (* y (log y)) (+ z (* -1 x))))
(exp.f64 (-.f64 (fma.f64 (log.f64 y) y x) z))
(exp (- (* y (log y)) (+ z (* -1 x))))
(exp.f64 (-.f64 (fma.f64 (log.f64 y) y x) z))
(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)))
(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))

rewrite415.0ms (7.4%)

Memory
-129.1MiB live, 437.0MiB allocated
Rules
4 998×lower-fma.f32
4 996×lower-fma.f64
4 852×lower-*.f32
4 846×lower-*.f64
4 252×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
020108
030106
110990
278766
0862762
Stop Event
iter limit
node limit
iter limit
Counts
9 → 274
Calls
Call 1
Inputs
(*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) z))
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) z))))
#s(approx (- (+ x (* y (log y))) z) (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (neg.f64 z) z)
(/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 z x))
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 z x))))
#s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 z x)))
(fma.f64 (neg.f64 z) z (*.f64 x x))
(neg.f64 z)
Outputs
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eval136.0ms (2.4%)

Memory
7.2MiB live, 120.3MiB allocated
Compiler

Compiled 8 295 to 1 439 computations (82.7% saved)

prune16.0ms (0.3%)

Memory
16.8MiB live, 53.0MiB allocated
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New5334537
Fresh000
Picked202
Done033
Total5357542
Accuracy
100.0%
Counts
542 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.7%
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 (neg.f64 z) z)) (+.f64 z x))))
48.0%
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 z x))))
76.3%
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z)))
52.3%
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z))))
52.3%
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) z) (/.f64 #s(literal 1 binary64) z))))
60.5%
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y)))
52.3%
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z)))
Compiler

Compiled 60 to 60 computations (0% saved)

simplify135.0ms (2.4%)

Memory
-35.5MiB live, 161.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (+ (* (neg z) z) (* x x)) (*.f64 (neg.f64 z) z))
cost-diff0
(/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 (neg.f64 z) z)) (+.f64 z x))
cost-diff0
#s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 (neg.f64 z) z)) (+.f64 z x)))
cost-diff0
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 (neg.f64 z) z)) (+.f64 z x))))
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 z x))
cost-diff0
#s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 z x)))
cost-diff0
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 z x))))
cost-diff0
(/.f64 #s(literal -1 binary64) z)
cost-diff0
#s(approx (- (+ x (* y (log y))) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)))
cost-diff0
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z))))
cost-diff1216
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z))
cost-diff0
#s(approx (- (+ x (* y (log y))) z) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) z) (/.f64 #s(literal 1 binary64) z)))
cost-diff0
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) z) (/.f64 #s(literal 1 binary64) z))))
cost-diff1216
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z))
cost-diff1344
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) z) (/.f64 #s(literal 1 binary64) z))
Rules
3 888×lower-fma.f64
3 888×lower-fma.f32
3 612×lower-*.f32
3 602×lower-*.f64
2 078×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035315
051355
177305
2144249
3313249
4644249
52126249
63383249
77360249
08663241
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) z) (/.f64 #s(literal 1 binary64) z))))
#s(approx (- (+ x (* y (log y))) z) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) z) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) z) (/.f64 #s(literal 1 binary64) z))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) z)
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z))
(/.f64 #s(literal -1 binary64) z)
#s(literal -1 binary64)
z
(*.f64 z z)
(/.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z))))
#s(approx (- (+ x (* y (log y))) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)))
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z))
(/.f64 #s(literal -1 binary64) z)
#s(literal -1 binary64)
z
(*.f64 z 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 z x)))
(/.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 z x)
z
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 (neg.f64 z) z)) (+.f64 z x))))
#s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 (neg.f64 z) z)) (+.f64 z x)))
(/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 (neg.f64 z) z)) (+.f64 z x))
#s(approx (+ (* (neg z) z) (* x x)) (*.f64 (neg.f64 z) z))
(*.f64 (neg.f64 z) z)
(neg.f64 z)
z
(+.f64 z x)
x
Outputs
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) z) (/.f64 #s(literal 1 binary64) z))))
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z)))
#s(approx (- (+ x (* y (log y))) z) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) z) (/.f64 #s(literal 1 binary64) z)))
#s(approx (- (+ x (* y (log y))) z) (neg.f64 z))
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) z) (/.f64 #s(literal 1 binary64) z))
(neg.f64 z)
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) z)
(*.f64 (neg.f64 z) z)
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z))
(neg.f64 z)
(/.f64 #s(literal -1 binary64) z)
#s(literal -1 binary64)
z
(*.f64 z z)
(/.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z))))
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z)))
#s(approx (- (+ x (* y (log y))) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)))
#s(approx (- (+ x (* y (log y))) z) (neg.f64 z))
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z))
(neg.f64 z)
(/.f64 #s(literal -1 binary64) z)
#s(literal -1 binary64)
z
(*.f64 z 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 z x)))
(/.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 z x)
z
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 (neg.f64 z) z)) (+.f64 z x))))
#s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 (neg.f64 z) z)) (+.f64 z x)))
(/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 (neg.f64 z) z)) (+.f64 z x))
#s(approx (+ (* (neg z) z) (* x x)) (*.f64 (neg.f64 z) z))
(*.f64 (neg.f64 z) z)
(neg.f64 z)
z
(+.f64 z x)
x

localize89.0ms (1.6%)

Memory
8.8MiB live, 196.8MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy0
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 (neg.f64 z) z)) (+.f64 z x))))
accuracy24.904401688610506
#s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 (neg.f64 z) z)) (+.f64 z x)))
accuracy28.914764238861228
#s(approx (+ (* (neg z) z) (* x x)) (*.f64 (neg.f64 z) z))
accuracy29.740481238962662
(/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 (neg.f64 z) z)) (+.f64 z x))
accuracy0
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 z x))))
accuracy24.904401688610506
#s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 z x)))
accuracy27.671741337701157
#s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x))
accuracy29.740481238962662
(/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 z x))
accuracy0
(*.f64 z z)
accuracy0
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z))))
accuracy32.75019149365244
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z))
accuracy44.90730724506009
#s(approx (- (+ x (* y (log y))) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)))
accuracy0
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) z) (/.f64 #s(literal 1 binary64) z))))
accuracy32.75019149365244
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z))
accuracy32.75019149365244
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) z) (/.f64 #s(literal 1 binary64) z))
accuracy44.90730724506009
#s(approx (- (+ x (* y (log y))) z) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) z) (/.f64 #s(literal 1 binary64) z)))
Samples
60.0ms255×0valid
0.0ms1valid
Compiler

Compiled 185 to 24 computations (87% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
ival-mult: 13.0ms (42.6% of total)
ival-div: 5.0ms (16.4% of total)
ival-add: 4.0ms (13.1% of total)
ival-log: 4.0ms (13.1% of total)
ival-exp: 2.0ms (6.6% of total)
ival-sub: 1.0ms (3.3% of total)
ival-neg: 1.0ms (3.3% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series70.0ms (1.2%)

Memory
0.5MiB live, 122.6MiB allocated
Counts
16 → 432
Calls
Call 1
Inputs
#s(alt (*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) z) (/.f64 #s(literal 1 binary64) z)) (patch (*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) z) (/.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) (patch (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) #<representation binary64>) () ())
#s(alt (exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) z) (/.f64 #s(literal 1 binary64) z)))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) z) (/.f64 #s(literal 1 binary64) z)))) #<representation binary64>) () ())
#s(alt #s(approx (- (+ x (* y (log y))) z) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) z) (/.f64 #s(literal 1 binary64) z))) (patch #s(approx (- (+ x (* y (log y))) z) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) z) (/.f64 #s(literal 1 binary64) z))) #<representation binary64>) () ())
#s(alt (exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)))) #<representation binary64>) () ())
#s(alt #s(approx (- (+ x (* y (log y))) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z))) (patch #s(approx (- (+ x (* y (log y))) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) z) (patch (/.f64 #s(literal -1 binary64) z) #<representation binary64>) () ())
#s(alt (exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 z x)))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 z x)))) #<representation binary64>) () ())
#s(alt #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 z x))) (patch #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 z x))) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 z x)) (patch (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 z x)) #<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>) () ())
#s(alt (exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 (neg.f64 z) z)) (+.f64 z x)))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 (neg.f64 z) z)) (+.f64 z x)))) #<representation binary64>) () ())
#s(alt #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 (neg.f64 z) z)) (+.f64 z x))) (patch #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 (neg.f64 z) z)) (+.f64 z x))) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 (neg.f64 z) z)) (+.f64 z x)) (patch (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 (neg.f64 z) z)) (+.f64 z x)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (neg z) z) (* x x)) (*.f64 (neg.f64 z) z)) (patch #s(approx (+ (* (neg z) z) (* x x)) (*.f64 (neg.f64 z) z)) #<representation binary64>) () ())
#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())
Outputs
#s(alt (* -1 z) (taylor 0 z) (#s(alt (*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) z) (/.f64 #s(literal 1 binary64) z)) (patch (*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) z) (/.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) z) (/.f64 #s(literal 1 binary64) z)) (patch (*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) z) (/.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) z) (/.f64 #s(literal 1 binary64) z)) (patch (*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) z) (/.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) z) (/.f64 #s(literal 1 binary64) z)) (patch (*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) z) (/.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) (patch (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) (patch (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) (patch (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) (patch (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z 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 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) z) (/.f64 #s(literal 1 binary64) z)))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) z) (/.f64 #s(literal 1 binary64) 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 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) z) (/.f64 #s(literal 1 binary64) z)))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) z) (/.f64 #s(literal 1 binary64) 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 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) z) (/.f64 #s(literal 1 binary64) z)))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) z) (/.f64 #s(literal 1 binary64) 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 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) z) (/.f64 #s(literal 1 binary64) z)))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) z) (/.f64 #s(literal 1 binary64) z)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (log y))) (taylor 0 z) (#s(alt #s(approx (- (+ x (* y (log y))) z) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) z) (/.f64 #s(literal 1 binary64) z))) (patch #s(approx (- (+ x (* y (log y))) z) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) z) (/.f64 #s(literal 1 binary64) z))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* -1 z) (* y (log y)))) (taylor 0 z) (#s(alt #s(approx (- (+ x (* y (log y))) z) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) z) (/.f64 #s(literal 1 binary64) z))) (patch #s(approx (- (+ x (* y (log y))) z) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) z) (/.f64 #s(literal 1 binary64) z))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* -1 z) (* y (log y)))) (taylor 0 z) (#s(alt #s(approx (- (+ x (* y (log y))) z) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) z) (/.f64 #s(literal 1 binary64) z))) (patch #s(approx (- (+ x (* y (log y))) z) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) z) (/.f64 #s(literal 1 binary64) z))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* -1 z) (* y (log y)))) (taylor 0 z) (#s(alt #s(approx (- (+ x (* y (log y))) z) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) z) (/.f64 #s(literal 1 binary64) z))) (patch #s(approx (- (+ x (* y (log y))) z) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) z) (/.f64 #s(literal 1 binary64) 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 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z 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 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z 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 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z 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 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)))) (patch (exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (log y))) (taylor 0 z) (#s(alt #s(approx (- (+ x (* y (log y))) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z))) (patch #s(approx (- (+ x (* y (log y))) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* -1 z) (* y (log y)))) (taylor 0 z) (#s(alt #s(approx (- (+ x (* y (log y))) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z))) (patch #s(approx (- (+ x (* y (log y))) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* -1 z) (* y (log y)))) (taylor 0 z) (#s(alt #s(approx (- (+ x (* y (log y))) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z))) (patch #s(approx (- (+ x (* y (log y))) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* -1 z) (* y (log y)))) (taylor 0 z) (#s(alt #s(approx (- (+ x (* y (log y))) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z))) (patch #s(approx (- (+ x (* y (log y))) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt (/ -1 z) (taylor 0 z) (#s(alt (/.f64 #s(literal -1 binary64) z) (patch (/.f64 #s(literal -1 binary64) z) #<representation binary64>) () ())) ())
#s(alt (/ -1 z) (taylor 0 z) (#s(alt (/.f64 #s(literal -1 binary64) z) (patch (/.f64 #s(literal -1 binary64) z) #<representation binary64>) () ())) ())
#s(alt (/ -1 z) (taylor 0 z) (#s(alt (/.f64 #s(literal -1 binary64) z) (patch (/.f64 #s(literal -1 binary64) z) #<representation binary64>) () ())) ())
#s(alt (/ -1 z) (taylor 0 z) (#s(alt (/.f64 #s(literal -1 binary64) z) (patch (/.f64 #s(literal -1 binary64) z) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (- (/ z x) 1))) (taylor -inf x) (#s(alt (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 (neg.f64 z) z)) (+.f64 z x)) (patch (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 (neg.f64 z) z)) (+.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt #s(approx (+ (* (neg z) z) (* x x)) (*.f64 (neg.f64 z) z)) (patch #s(approx (+ (* (neg z) z) (* x x)) (*.f64 (neg.f64 z) z)) #<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 (neg.f64 z) z)) (patch #s(approx (+ (* (neg z) z) (* x x)) (*.f64 (neg.f64 z) z)) #<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 (neg.f64 z) z)) (patch #s(approx (+ (* (neg z) z) (* x x)) (*.f64 (neg.f64 z) z)) #<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 (neg.f64 z) z)) (patch #s(approx (+ (* (neg z) z) (* x x)) (*.f64 (neg.f64 z) z)) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
11.0ms
z
@inf
((* (* (* (/ -1 z) (* z z)) z) (/ 1 z)) (* (/ -1 z) (* z z)) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (/ -1 z) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (/ (+ (* (neg z) z) (* x x)) (+ z x)) (+ (* (neg z) z) (* x x)) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (/ (+ (* (neg z) z) (* x x)) (+ z x)) (+ (* (neg z) z) (* x x)) (* z z))
3.0ms
x
@0
((* (* (* (/ -1 z) (* z z)) z) (/ 1 z)) (* (/ -1 z) (* z z)) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (/ -1 z) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (/ (+ (* (neg z) z) (* x x)) (+ z x)) (+ (* (neg z) z) (* x x)) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (/ (+ (* (neg z) z) (* x x)) (+ z x)) (+ (* (neg z) z) (* x x)) (* z z))
2.0ms
z
@0
((* (* (* (/ -1 z) (* z z)) z) (/ 1 z)) (* (/ -1 z) (* z z)) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (/ -1 z) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (/ (+ (* (neg z) z) (* x x)) (+ z x)) (+ (* (neg z) z) (* x x)) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (/ (+ (* (neg z) z) (* x x)) (+ z x)) (+ (* (neg z) z) (* x x)) (* z z))
2.0ms
z
@-inf
((* (* (* (/ -1 z) (* z z)) z) (/ 1 z)) (* (/ -1 z) (* z z)) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (/ -1 z) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (/ (+ (* (neg z) z) (* x x)) (+ z x)) (+ (* (neg z) z) (* x x)) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (/ (+ (* (neg z) z) (* x x)) (+ z x)) (+ (* (neg z) z) (* x x)) (* z z))
2.0ms
y
@-inf
((* (* (* (/ -1 z) (* z z)) z) (/ 1 z)) (* (/ -1 z) (* z z)) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (/ -1 z) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (/ (+ (* (neg z) z) (* x x)) (+ z x)) (+ (* (neg z) z) (* x x)) (exp (- (+ x (* y (log y))) z)) (- (+ x (* y (log y))) z) (/ (+ (* (neg z) z) (* x x)) (+ z x)) (+ (* (neg z) z) (* x x)) (* z z))

simplify343.0ms (6.1%)

Memory
1.5MiB live, 187.4MiB allocated
Algorithm
egg-herbie
Rules
10 736×lower-fma.f64
10 736×lower-fma.f32
5 724×lower-*.f64
5 724×lower-*.f32
2 506×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01433772
14343384
212923268
343353232
084693076
Stop Event
iter limit
node limit
Counts
432 → 418
Calls
Call 1
Inputs
(* -1 z)
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(* -1 z)
(* -1 z)
(* -1 z)
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(exp (+ x (* y (log y))))
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(+ (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))))))))))
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(+ (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)))
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(/ -1 z)
(/ -1 z)
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(/ -1 z)
(exp (+ x (* y (log y))))
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(+ (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)))
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x
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(pow x 2)
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(+ (* -1 (pow z 2)) (pow x 2))
(+ (* -1 (pow z 2)) (pow x 2))
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(+ (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)))
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(* z (- (+ (/ x z) (/ (* y (log y)) z)) 1))
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(/ -1 z)
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(exp (- (+ x (* y (log y))) z))
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(exp (- (+ x (* y (log y))) z))
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(* y (- (+ (* -1 (log (/ 1 y))) (/ x y)) (/ z y)))
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(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))))
(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 (- (+ 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)))
(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)))
(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
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 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)) (+.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 #s(literal 1/2 binary64) z) 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))))))))))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (pow.f64 y y)) (exp.f64 x) (*.f64 (*.f64 z z) (*.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) (*.f64 (pow.f64 y y) (exp.f64 x)))))
(+ 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))))
(*.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)) (+.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 #s(literal 1/2 binary64) z) 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))))))))))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (pow.f64 y y)) (exp.f64 x) (*.f64 (*.f64 z z) (*.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) (*.f64 (pow.f64 y y) (exp.f64 x)))))
(+ 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)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(/ -1 z)
(/.f64 #s(literal -1 binary64) 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)) (+.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 #s(literal 1/2 binary64) z) 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))))))))))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (pow.f64 y y)) (exp.f64 x) (*.f64 (*.f64 z z) (*.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) (*.f64 (pow.f64 y y) (exp.f64 x)))))
(+ 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)
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))))
(*.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)) (+.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 #s(literal 1/2 binary64) z) 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))))))))))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (pow.f64 y y)) (exp.f64 x) (*.f64 (*.f64 z z) (*.f64 (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64)) (*.f64 (pow.f64 y y) (exp.f64 x)))))
(+ 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)
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))
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 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))) 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 (* 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)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(/ -1 z)
(/.f64 #s(literal -1 binary64) 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)
(* -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 (* 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)
(* -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))
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
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(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
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(neg.f64 z)
(* -1 z)
(neg.f64 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)))))
(-.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)))))
(-.f64 (fma.f64 (log.f64 y) y x) z)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(/ -1 z)
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(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(/ -1 z)
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(exp (+ x (+ (* -1 z) (* y (log y)))))
(exp.f64 (-.f64 (fma.f64 (log.f64 y) y x) z))
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(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)
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(-.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)))))
(-.f64 (fma.f64 (log.f64 y) y x) z)
(* -1 z)
(neg.f64 z)
(* -1 (* z (+ 1 (* -1 (/ x z)))))
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(* -1 (* z (+ 1 (* -1 (/ x z)))))
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(* -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)))))
(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)))))
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(exp (+ x (+ (* -1 z) (* y (log y)))))
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(+ (exp (- (* y (log y)) z)) (* x (+ (exp (- (* y (log y)) z)) (* x (+ (* 1/6 (* x (exp (- (* y (log y)) z)))) (* 1/2 (exp (- (* y (log y)) z))))))))
(fma.f64 (*.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))) x (/.f64 (pow.f64 y y) (exp.f64 z)))
(- (* y (log y)) z)
(-.f64 (*.f64 (log.f64 y) y) z)
(- (+ x (* y (log y))) z)
(-.f64 (fma.f64 (log.f64 y) y x) z)
(- (+ x (* y (log y))) z)
(-.f64 (fma.f64 (log.f64 y) y x) z)
(- (+ x (* y (log y))) z)
(-.f64 (fma.f64 (log.f64 y) y 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))
(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))
x
(* x (- (+ 1 (/ (* y (log y)) x)) (/ z x)))
(fma.f64 (/.f64 (*.f64 (log.f64 y) y) x) x (-.f64 x z))
(* x (- (+ 1 (/ (* y (log y)) x)) (/ z x)))
(fma.f64 (/.f64 (*.f64 (log.f64 y) y) x) x (-.f64 x z))
(* x (- (+ 1 (/ (* y (log y)) x)) (/ z x)))
(fma.f64 (/.f64 (*.f64 (log.f64 y) y) x) x (-.f64 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))
x
(* x (- (+ 1 (/ (* y (log y)) x)) (/ z x)))
(fma.f64 (/.f64 (*.f64 (log.f64 y) y) x) x (-.f64 x z))
(* x (- (+ 1 (/ (* y (log y)) x)) (/ z x)))
(fma.f64 (/.f64 (*.f64 (log.f64 y) y) x) x (-.f64 x z))
(* x (- (+ 1 (/ (* y (log y)) x)) (/ z x)))
(fma.f64 (/.f64 (*.f64 (log.f64 y) y) x) x (-.f64 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))
x
(* x (- (+ 1 (/ (* y (log y)) x)) (/ z x)))
(fma.f64 (/.f64 (*.f64 (log.f64 y) y) x) x (-.f64 x z))
(* x (- (+ 1 (/ (* y (log y)) x)) (/ z x)))
(fma.f64 (/.f64 (*.f64 (log.f64 y) y) x) x (-.f64 x z))
(* x (- (+ 1 (/ (* y (log y)) x)) (/ z x)))
(fma.f64 (/.f64 (*.f64 (log.f64 y) y) x) x (-.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)
(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 (- (+ 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))
x
(* x (- (+ 1 (/ (* y (log y)) x)) (/ z x)))
(fma.f64 (/.f64 (*.f64 (log.f64 y) y) x) x (-.f64 x z))
(* x (- (+ 1 (/ (* y (log y)) x)) (/ z x)))
(fma.f64 (/.f64 (*.f64 (log.f64 y) y) x) x (-.f64 x z))
(* x (- (+ 1 (/ (* y (log y)) x)) (/ z x)))
(fma.f64 (/.f64 (*.f64 (log.f64 y) y) x) x (-.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)
(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))))
(exp.f64 (-.f64 (fma.f64 (log.f64 y) y x) z))
(exp (- (* y (log y)) (+ z (* -1 x))))
(exp.f64 (-.f64 (fma.f64 (log.f64 y) y x) z))
(exp (- (* y (log y)) (+ z (* -1 x))))
(exp.f64 (-.f64 (fma.f64 (log.f64 y) y x) z))
(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)))
(fma.f64 (/.f64 (*.f64 (log.f64 y) y) x) x (-.f64 x z))
(* -1 (* x (- (* -1 (/ (- (* y (log y)) z) x)) 1)))
(fma.f64 (/.f64 (*.f64 (log.f64 y) y) x) x (-.f64 x z))
(* -1 (* x (- (* -1 (/ (- (* y (log y)) z) x)) 1)))
(fma.f64 (/.f64 (*.f64 (log.f64 y) y) x) x (-.f64 x z))
(exp (- (* y (log y)) (+ z (* -1 x))))
(exp.f64 (-.f64 (fma.f64 (log.f64 y) y x) z))
(exp (- (* y (log y)) (+ z (* -1 x))))
(exp.f64 (-.f64 (fma.f64 (log.f64 y) y x) z))
(exp (- (* y (log y)) (+ z (* -1 x))))
(exp.f64 (-.f64 (fma.f64 (log.f64 y) y x) z))
(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)))
(fma.f64 (/.f64 (*.f64 (log.f64 y) y) x) x (-.f64 x z))
(* -1 (* x (- (* -1 (/ (- (* y (log y)) z) x)) 1)))
(fma.f64 (/.f64 (*.f64 (log.f64 y) y) x) x (-.f64 x z))
(* -1 (* x (- (* -1 (/ (- (* y (log y)) z) x)) 1)))
(fma.f64 (/.f64 (*.f64 (log.f64 y) y) x) x (-.f64 x z))
(exp (- (* y (log y)) (+ z (* -1 x))))
(exp.f64 (-.f64 (fma.f64 (log.f64 y) y x) z))
(exp (- (* y (log y)) (+ z (* -1 x))))
(exp.f64 (-.f64 (fma.f64 (log.f64 y) y x) z))
(exp (- (* y (log y)) (+ z (* -1 x))))
(exp.f64 (-.f64 (fma.f64 (log.f64 y) y x) z))
(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)))
(fma.f64 (/.f64 (*.f64 (log.f64 y) y) x) x (-.f64 x z))
(* -1 (* x (- (* -1 (/ (- (* y (log y)) z) x)) 1)))
(fma.f64 (/.f64 (*.f64 (log.f64 y) y) x) x (-.f64 x z))
(* -1 (* x (- (* -1 (/ (- (* y (log y)) z) x)) 1)))
(fma.f64 (/.f64 (*.f64 (log.f64 y) y) x) x (-.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)
(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))))
(exp.f64 (-.f64 (fma.f64 (log.f64 y) y x) z))
(exp (- (* y (log y)) (+ z (* -1 x))))
(exp.f64 (-.f64 (fma.f64 (log.f64 y) y x) z))
(exp (- (* y (log y)) (+ z (* -1 x))))
(exp.f64 (-.f64 (fma.f64 (log.f64 y) y x) z))
(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)))
(fma.f64 (/.f64 (*.f64 (log.f64 y) y) x) x (-.f64 x z))
(* -1 (* x (- (* -1 (/ (- (* y (log y)) z) x)) 1)))
(fma.f64 (/.f64 (*.f64 (log.f64 y) y) x) x (-.f64 x z))
(* -1 (* x (- (* -1 (/ (- (* y (log y)) z) x)) 1)))
(fma.f64 (/.f64 (*.f64 (log.f64 y) y) x) x (-.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)
(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))

rewrite247.0ms (4.4%)

Memory
-25.2MiB live, 234.4MiB allocated
Rules
11 878×lower-fma.f64
11 878×lower-fma.f32
5 166×lower-*.f32
5 156×lower-*.f64
3 410×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035266
051272
1147210
2914210
08664202
Stop Event
iter limit
node limit
iter limit
Counts
16 → 300
Calls
Call 1
Inputs
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) z) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z))
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) z) (/.f64 #s(literal 1 binary64) z))))
#s(approx (- (+ x (* y (log y))) z) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) z) (/.f64 #s(literal 1 binary64) z)))
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z))))
#s(approx (- (+ x (* y (log y))) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)))
(/.f64 #s(literal -1 binary64) 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 z x)))
(/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 z x))
#s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x))
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 (neg.f64 z) z)) (+.f64 z x))))
#s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 (neg.f64 z) z)) (+.f64 z x)))
(/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 (neg.f64 z) z)) (+.f64 z x))
#s(approx (+ (* (neg z) z) (* x x)) (*.f64 (neg.f64 z) z))
(*.f64 z z)
Outputs
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eval143.0ms (2.6%)

Memory
16.3MiB live, 197.8MiB allocated
Compiler

Compiled 11 710 to 1 617 computations (86.2% saved)

prune35.0ms (0.6%)

Memory
13.3MiB live, 102.3MiB allocated
Pruning

7 alts after pruning (0 fresh and 7 done)

PrunedKeptTotal
New8860886
Fresh000
Picked044
Done033
Total8867893
Accuracy
100.0%
Counts
893 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.7%
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 (neg.f64 z) z)) (+.f64 z x))))
48.0%
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 x x)) (+.f64 z x))))
76.3%
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z)))
52.3%
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z))))
52.3%
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) z) (/.f64 #s(literal 1 binary64) z))))
60.5%
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (log.f64 y) y)))
52.3%
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (neg.f64 z)))
Compiler

Compiled 152 to 107 computations (29.6% saved)

regimes29.0ms (0.5%)

Memory
8.2MiB live, 83.3MiB allocated
Counts
10 → 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 z x))))
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z))))
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 (neg.f64 z) z)) (+.f64 z x))))
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) z))))
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 z x))))
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) z) (/.f64 #s(literal 1 binary64) 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
z
5.0ms
(*.f64 y (log.f64 y))
4.0ms
x
4.0ms
(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
4.0ms
(+.f64 x (*.f64 y (log.f64 y)))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
100.0%1(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
100.0%1(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
100.0%1(+.f64 x (*.f64 y (log.f64 y)))
100.0%1(*.f64 y (log.f64 y))
Compiler

Compiled 30 to 35 computations (-16.7% saved)

regimes37.0ms (0.7%)

Memory
-23.4MiB live, 65.7MiB allocated
Counts
9 → 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 z x))))
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z))))
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 (neg.f64 z) z)) (+.f64 z x))))
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) z))))
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 z x))))
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) z) (/.f64 #s(literal 1 binary64) 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:

14.0ms
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
5.0ms
(*.f64 y (log.f64 y))
3.0ms
z
3.0ms
(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
3.0ms
(+.f64 x (*.f64 y (log.f64 y)))
Results
AccuracySegmentsBranch
80.6%3x
94.5%2y
84.3%5z
83.3%2(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
84.0%2(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
89.6%2(+.f64 x (*.f64 y (log.f64 y)))
94.5%2(*.f64 y (log.f64 y))
Compiler

Compiled 30 to 35 computations (-16.7% saved)

regimes36.0ms (0.6%)

Memory
-10.1MiB live, 65.8MiB allocated
Counts
8 → 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 z x))))
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z))))
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 #s(approx (+ (* (neg z) z) (* x x)) (*.f64 (neg.f64 z) z)) (+.f64 z x))))
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) z))))
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 x x)) (+.f64 z x))))
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) z) (/.f64 #s(literal 1 binary64) z))))
Outputs
(exp.f64 #s(approx (- (+ x (* y (log y))) z) (-.f64 x z)))
Calls

7 calls:

16.0ms
(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
4.0ms
x
3.0ms
(*.f64 y (log.f64 y))
3.0ms
(+.f64 x (*.f64 y (log.f64 y)))
3.0ms
y
Results
AccuracySegmentsBranch
76.3%1x
76.3%1z
76.3%1(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
76.3%1(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
76.3%1(+.f64 x (*.f64 y (log.f64 y)))
76.3%1y
76.3%1(*.f64 y (log.f64 y))
Compiler

Compiled 30 to 35 computations (-16.7% saved)

regimes11.0ms (0.2%)

Memory
10.9MiB live, 49.0MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

7 calls:

2.0ms
y
1.0ms
(*.f64 y (log.f64 y))
1.0ms
(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
1.0ms
(+.f64 x (*.f64 y (log.f64 y)))
1.0ms
x
Results
AccuracySegmentsBranch
52.3%1x
52.3%1y
52.3%1z
52.3%1(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
52.3%1(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
52.3%1(+.f64 x (*.f64 y (log.f64 y)))
52.3%1(*.f64 y (log.f64 y))
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
4.323991473725103e+22
1.2865605786678842e+25
Compiler

Compiled 12 to 14 computations (-16.7% saved)

simplify28.0ms (0.5%)

Memory
-8.3MiB live, 73.5MiB allocated
Algorithm
egg-herbie
Rules
+-commutative-binary64-+.f64
sub-neg-binary64-neg.f64-+.f64--.f64
*-commutative-binary64-*.f64
neg-sub0-binary64--.f64-neg.f64
neg-mul-1-binary64-*.f64-neg.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02468
13268
23668
33768
Stop Event
saturated
Calls
Call 1
Inputs
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
(if (<=.f64 (*.f64 y (log.f64 y)) #s(literal 49999999999999995805696 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 49999999999999995805696 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 49999999999999995805696 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)))

soundness307.0ms (5.5%)

Memory
26.5MiB live, 209.3MiB allocated
Rules
12 444×lower-fma.f64
12 444×lower-fma.f32
5 864×lower-*.f64
5 864×lower-*.f32
1 620×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01281007
1407910
21245875
34149843
08320785
Stop Event
done
iter limit
node limit
Compiler

Compiled 52 to 40 computations (23.1% saved)

preprocess83.0ms (1.5%)

Memory
-13.6MiB live, 145.5MiB 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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