Numeric.SpecFunctions:stirlingError from math-functions-0.1.5.2

Time bar (total: 7.5s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
100%49.9%0%0.1%0%49.9%0%3
Compiler

Compiled 14 to 12 computations (14.3% saved)

sample1.6s (21.1%)

Memory
10.8MiB live, 1 436.7MiB allocated
Samples
1.2s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 816.0ms
ival-sub: 261.0ms (32% of total)
ival-add: 232.0ms (28.4% of total)
ival-mult: 199.0ms (24.4% of total)
ival-log: 109.0ms (13.4% of total)
ival-true: 7.0ms (0.9% of total)
exact: 5.0ms (0.6% of total)
ival-assert: 3.0ms (0.4% of total)
Bogosity

explain120.0ms (1.6%)

Memory
29.3MiB live, 269.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(+.f64 y #s(literal 1/2 binary64))
00-0-(log.f64 y)
00-0-(*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))
00-0-(-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))
00-0-z
00-0-(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)
00-0-y
00-0-(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)
00-0-#s(literal 1/2 binary64)
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
40.0ms512×0valid
Compiler

Compiled 106 to 34 computations (67.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-log: 7.0ms (32.1% of total)
ival-sub: 5.0ms (22.9% of total)
ival-add: 5.0ms (22.9% of total)
ival-mult: 4.0ms (18.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess186.0ms (2.5%)

Memory
-6.5MiB live, 153.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040119
1122113
2469111
32025110
45437110
56897110
01012
01612
13012
28012
329112
482712
5217612
6312112
7377012
8384912
9385012
10385012
11388812
12389712
13389712
0389711
Stop Event
iter limit
saturated
iter limit
node limit
Calls
Call 1
Inputs
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)
Outputs
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)
(-.f64 x (-.f64 z (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y)))
Compiler

Compiled 12 to 10 computations (16.7% saved)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)
Compiler

Compiled 12 to 10 computations (16.7% saved)

simplify118.0ms (1.6%)

Memory
-5.5MiB live, 71.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))
cost-diff0
(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)
cost-diff0
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)
cost-diff128
(-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01045
01645
13045
28045
329145
482745
5217645
6312145
7377045
8384945
9385045
10385045
11388845
12389745
13389745
0389742
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)
(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)
(-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))
x
(*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))
(+.f64 y #s(literal 1/2 binary64))
y
#s(literal 1/2 binary64)
(log.f64 y)
z
Outputs
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)
(-.f64 x (-.f64 z (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y)))
(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x))
(-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x)
x
(*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))
(*.f64 (log.f64 y) (-.f64 y #s(literal -1/2 binary64)))
(+.f64 y #s(literal 1/2 binary64))
(-.f64 y #s(literal -1/2 binary64))
y
#s(literal 1/2 binary64)
(log.f64 y)
z

localize44.0ms (0.6%)

Memory
-13.8MiB live, 108.2MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))
accuracy0.01171875
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)
accuracy0.09765625
(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)
accuracy0.15234375
(*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))
Samples
21.0ms256×0valid
Compiler

Compiled 47 to 12 computations (74.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-log: 3.0ms (28.9% of total)
ival-add: 3.0ms (28.9% of total)
ival-sub: 2.0ms (19.3% of total)
ival-mult: 2.0ms (19.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series26.0ms (0.3%)

Memory
17.3MiB live, 55.9MiB allocated
Counts
4 → 96
Calls
Call 1
Inputs
#s(alt (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) (patch (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) #<representation binary64>) () ())
#s(alt (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) (patch (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) #<representation binary64>) () ())
#s(alt (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) (patch (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) #<representation binary64>) () ())
#s(alt (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) (patch (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #<representation binary64>) () ())
Outputs
#s(alt (- (+ x y) (* (log y) (+ 1/2 y))) (taylor 0 z) (#s(alt (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) (patch (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) #<representation binary64>) () ())) ())
#s(alt (- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) (taylor 0 z) (#s(alt (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) (patch (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) #<representation binary64>) () ())) ())
#s(alt (- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) (taylor 0 z) (#s(alt (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) (patch (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) #<representation binary64>) () ())) ())
#s(alt (- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) (taylor 0 z) (#s(alt (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) (patch (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) (patch (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) (taylor inf z) (#s(alt (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) (patch (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) (taylor inf z) (#s(alt (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) (patch (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) (taylor inf z) (#s(alt (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) (patch (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor -inf z) (#s(alt (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) (patch (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z))))) (taylor -inf z) (#s(alt (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) (patch (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z))))) (taylor -inf z) (#s(alt (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) (patch (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z))))) (taylor -inf z) (#s(alt (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) (patch (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) #<representation binary64>) () ())) ())
#s(alt (- x (* 1/2 (log y))) (taylor 0 y) (#s(alt (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) (patch (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* -1 (* y (log y)))) (* 1/2 (log y))) (taylor 0 y) (#s(alt (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) (patch (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* -1 (* y (log y)))) (* 1/2 (log y))) (taylor 0 y) (#s(alt (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) (patch (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* -1 (* y (log y)))) (* 1/2 (log y))) (taylor 0 y) (#s(alt (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) (patch (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) #<representation binary64>) () ())) ())
#s(alt (- x (+ z (* 1/2 (log y)))) (taylor 0 y) (#s(alt (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) (patch (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y)))) (taylor 0 y) (#s(alt (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) (patch (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y)))) (taylor 0 y) (#s(alt (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) (patch (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y)))) (taylor 0 y) (#s(alt (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) (patch (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) #<representation binary64>) () ())) ())
#s(alt (- x (* 1/2 (log y))) (taylor 0 y) (#s(alt (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) (patch (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* y (- 1 (log y)))) (* 1/2 (log y))) (taylor 0 y) (#s(alt (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) (patch (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* y (- 1 (log y)))) (* 1/2 (log y))) (taylor 0 y) (#s(alt (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) (patch (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* y (- 1 (log y)))) (* 1/2 (log y))) (taylor 0 y) (#s(alt (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) (patch (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (log y)) (taylor 0 y) (#s(alt (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) (patch (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (log y)) (* y (log y))) (taylor 0 y) (#s(alt (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) (patch (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (log y)) (* y (log y))) (taylor 0 y) (#s(alt (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) (patch (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (log y)) (* y (log y))) (taylor 0 y) (#s(alt (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) (patch (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* y (log (/ 1 y))) (taylor inf y) (#s(alt (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) (patch (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))) (taylor inf y) (#s(alt (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) (patch (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))) (taylor inf y) (#s(alt (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) (patch (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))) (taylor inf y) (#s(alt (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) (patch (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* y (- 1 (* -1 (log (/ 1 y))))) (taylor inf y) (#s(alt (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) (patch (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y))))) (taylor inf y) (#s(alt (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) (patch (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y))))) (taylor inf y) (#s(alt (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) (patch (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y))))) (taylor inf y) (#s(alt (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) (patch (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) #<representation binary64>) () ())) ())
#s(alt (* y (- 1 (* -1 (log (/ 1 y))))) (taylor inf y) (#s(alt (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) (patch (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))) (taylor inf y) (#s(alt (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) (patch (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))) (taylor inf y) (#s(alt (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) (patch (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1))) (taylor -inf x) (#s(alt (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) (patch (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) #<representation binary64>) () ())) ())
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Calls

9 calls:

TimeVariablePointExpression
6.0ms
z
@0
((- x (* (+ y 1/2) (log y))) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (- x (* (+ y 1/2) (log y))) y) (* (+ y 1/2) (log y)))
5.0ms
y
@-inf
((- x (* (+ y 1/2) (log y))) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (- x (* (+ y 1/2) (log y))) y) (* (+ y 1/2) (log y)))
4.0ms
y
@0
((- x (* (+ y 1/2) (log y))) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (- x (* (+ y 1/2) (log y))) y) (* (+ y 1/2) (log y)))
2.0ms
y
@inf
((- x (* (+ y 1/2) (log y))) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (- x (* (+ y 1/2) (log y))) y) (* (+ y 1/2) (log y)))
2.0ms
x
@0
((- x (* (+ y 1/2) (log y))) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (- x (* (+ y 1/2) (log y))) y) (* (+ y 1/2) (log y)))

simplify140.0ms (1.9%)

Memory
3.7MiB live, 195.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01271334
14151196
213191105
347041074
08534991
Stop Event
iter limit
node limit
Counts
96 → 90
Calls
Call 1
Inputs
(- (+ x y) (* (log y) (+ 1/2 y)))
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y)))
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y)))
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y)))
(* -1 z)
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z)))))
(- x (* 1/2 (log y)))
(- (+ x (* -1 (* y (log y)))) (* 1/2 (log y)))
(- (+ x (* -1 (* y (log y)))) (* 1/2 (log y)))
(- (+ x (* -1 (* y (log y)))) (* 1/2 (log y)))
(- x (+ z (* 1/2 (log y))))
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y))))
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y))))
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y))))
(- x (* 1/2 (log y)))
(- (+ x (* y (- 1 (log y)))) (* 1/2 (log y)))
(- (+ x (* y (- 1 (log y)))) (* 1/2 (log y)))
(- (+ x (* y (- 1 (log y)))) (* 1/2 (log y)))
(* 1/2 (log y))
(+ (* 1/2 (log y)) (* y (log y)))
(+ (* 1/2 (log y)) (* y (log y)))
(+ (* 1/2 (log y)) (* y (log y)))
(* y (log (/ 1 y)))
(* y (- (/ x y) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))))
(* y (- (/ x y) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))))
(* y (- (/ x y) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))))
(* y (- 1 (* -1 (log (/ 1 y)))))
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y)))))
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y)))))
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y)))))
(* y (- 1 (* -1 (log (/ 1 y)))))
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))))
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))))
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))))
(* -1 (* y (log (/ 1 y))))
(* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))
(* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))
(* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))
(* -1 (* y (+ (log -1) (* -1 (log (/ -1 y))))))
(* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))
(* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))
(* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))
(* y (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))
(* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))
(* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))
(* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))
(* y (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))
(* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))
(* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))
(* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))
(* y (+ (log -1) (* -1 (log (/ -1 y)))))
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)))))
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)))))
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)))))
(* -1 (* (log y) (+ 1/2 y)))
(- x (* (log y) (+ 1/2 y)))
(- x (* (log y) (+ 1/2 y)))
(- x (* (log y) (+ 1/2 y)))
(- y (+ z (* (log y) (+ 1/2 y))))
(- (+ x y) (+ z (* (log y) (+ 1/2 y))))
(- (+ x y) (+ z (* (log y) (+ 1/2 y))))
(- (+ x y) (+ z (* (log y) (+ 1/2 y))))
(- y (* (log y) (+ 1/2 y)))
(- (+ x y) (* (log y) (+ 1/2 y)))
(- (+ x y) (* (log y) (+ 1/2 y)))
(- (+ x y) (* (log y) (+ 1/2 y)))
x
(* x (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x))))
(* x (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x))))
(* x (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x))))
x
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x))))
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x))))
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x))))
x
(* x (- (+ 1 (/ y x)) (/ (* (log y) (+ 1/2 y)) x)))
(* x (- (+ 1 (/ y x)) (/ (* (log y) (+ 1/2 y)) x)))
(* x (- (+ 1 (/ y x)) (/ (* (log y) (+ 1/2 y)) x)))
x
(* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1)))
(* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1)))
(* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1)))
x
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1)))
x
(* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1)))
Outputs
(- (+ x y) (* (log y) (+ 1/2 y)))
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x))
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y)))
(-.f64 y (-.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z) x))
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y)))
(-.f64 y (-.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z) x))
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y)))
(-.f64 y (-.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z) x))
(* -1 z)
(neg.f64 z)
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))
(*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) z) (log.f64 y) (fma.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 y x) #s(literal -1 binary64))) z)
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))
(*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) z) (log.f64 y) (fma.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 y x) #s(literal -1 binary64))) z)
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))
(*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) z) (log.f64 y) (fma.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 y x) #s(literal -1 binary64))) z)
(* -1 z)
(neg.f64 z)
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z)))))
(-.f64 y (-.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z) x))
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z)))))
(-.f64 y (-.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z) x))
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z)))))
(-.f64 y (-.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z) x))
(- x (* 1/2 (log y)))
(fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)
(- (+ x (* -1 (* y (log y)))) (* 1/2 (log y)))
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x)
(- (+ x (* -1 (* y (log y)))) (* 1/2 (log y)))
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x)
(- (+ x (* -1 (* y (log y)))) (* 1/2 (log y)))
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x)
(- x (+ z (* 1/2 (log y))))
(-.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x) z)
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y))))
(-.f64 y (-.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z) x))
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y))))
(-.f64 y (-.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z) x))
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y))))
(-.f64 y (-.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z) x))
(- x (* 1/2 (log y)))
(fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)
(- (+ x (* y (- 1 (log y)))) (* 1/2 (log y)))
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x))
(- (+ x (* y (- 1 (log y)))) (* 1/2 (log y)))
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x))
(- (+ x (* y (- 1 (log y)))) (* 1/2 (log y)))
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x))
(* 1/2 (log y))
(*.f64 #s(literal 1/2 binary64) (log.f64 y))
(+ (* 1/2 (log y)) (* y (log y)))
(*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y))
(+ (* 1/2 (log y)) (* y (log y)))
(*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y))
(+ (* 1/2 (log y)) (* y (log y)))
(*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y))
(* y (log (/ 1 y)))
(*.f64 (neg.f64 y) (log.f64 y))
(* y (- (/ x y) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))))
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (*.f64 (/.f64 x y) y))
(* y (- (/ x y) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))))
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (*.f64 (/.f64 x y) y))
(* y (- (/ x y) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))))
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (*.f64 (/.f64 x y) y))
(* y (- 1 (* -1 (log (/ 1 y)))))
(*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y)))))
(fma.f64 (fma.f64 (neg.f64 (log.f64 y)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) y)) (/.f64 (-.f64 x z) y)) y y)
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y)))))
(fma.f64 (fma.f64 (neg.f64 (log.f64 y)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) y)) (/.f64 (-.f64 x z) y)) y y)
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y)))))
(fma.f64 (fma.f64 (neg.f64 (log.f64 y)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) y)) (/.f64 (-.f64 x z) y)) y y)
(* y (- 1 (* -1 (log (/ 1 y)))))
(*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))))
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (fma.f64 (/.f64 x y) y y))
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))))
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (fma.f64 (/.f64 x y) y y))
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))))
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (fma.f64 (/.f64 x y) y y))
(* -1 (* y (log (/ 1 y))))
(*.f64 (log.f64 y) y)
(* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))
(*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y))
(* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))
(*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y))
(* y (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y))))
(*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y))
(* -1 (* y (+ (log -1) (* -1 (log (/ -1 y))))))
(*.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) y)
(* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))
(*.f64 (+.f64 (/.f64 x y) (*.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64)))) y)
(* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))
(*.f64 (+.f64 (/.f64 x y) (*.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64)))) y)
(* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (* -1 (+ (log -1) (* -1 (log (/ -1 y))))))))
(*.f64 (+.f64 (/.f64 x y) (*.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64)))) y)
(* y (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))
(fma.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) y y)
(* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))
(*.f64 (+.f64 (+.f64 (/.f64 (-.f64 x z) y) (*.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64)))) #s(literal 1 binary64)) y)
(* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))
(*.f64 (+.f64 (+.f64 (/.f64 (-.f64 x z) y) (*.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64)))) #s(literal 1 binary64)) y)
(* -1 (* y (- (* -1 (/ (- x (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y))))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))
(*.f64 (+.f64 (+.f64 (/.f64 (-.f64 x z) y) (*.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64)))) #s(literal 1 binary64)) y)
(* y (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))
(fma.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) y y)
(* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))
(*.f64 (+.f64 (+.f64 (/.f64 x y) (*.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64)))) #s(literal 1 binary64)) y)
(* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))
(*.f64 (+.f64 (+.f64 (/.f64 x y) (*.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64)))) #s(literal 1 binary64)) y)
(* -1 (* y (- (* -1 (/ (- x (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))
(*.f64 (+.f64 (+.f64 (/.f64 x y) (*.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64)))) #s(literal 1 binary64)) 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))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)))))
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) (-.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))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)))))
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) (-.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))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)))))
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y)))) y)
(* -1 (* (log y) (+ 1/2 y)))
(*.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y))
(- x (* (log y) (+ 1/2 y)))
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x)
(- x (* (log y) (+ 1/2 y)))
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x)
(- x (* (log y) (+ 1/2 y)))
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x)
(- y (+ z (* (log y) (+ 1/2 y))))
(-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z))
(- (+ x y) (+ z (* (log y) (+ 1/2 y))))
(-.f64 y (-.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z) x))
(- (+ x y) (+ z (* (log y) (+ 1/2 y))))
(-.f64 y (-.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z) x))
(- (+ x y) (+ z (* (log y) (+ 1/2 y))))
(-.f64 y (-.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z) x))
(- y (* (log y) (+ 1/2 y)))
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y)
(- (+ x y) (* (log y) (+ 1/2 y)))
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x))
(- (+ x y) (* (log y) (+ 1/2 y)))
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x))
(- (+ x y) (* (log y) (+ 1/2 y)))
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x))
x
(* x (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x))))
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x)
(* x (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x))))
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x)
(* x (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x))))
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x)
x
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x))))
(fma.f64 (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x) x x)
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x))))
(fma.f64 (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x) x x)
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x))))
(fma.f64 (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x) x x)
x
(* x (- (+ 1 (/ y x)) (/ (* (log y) (+ 1/2 y)) x)))
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (fma.f64 (/.f64 y x) x x))
(* x (- (+ 1 (/ y x)) (/ (* (log y) (+ 1/2 y)) x)))
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (fma.f64 (/.f64 y x) x x))
(* x (- (+ 1 (/ y x)) (/ (* (log y) (+ 1/2 y)) x)))
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (fma.f64 (/.f64 y x) x x))
x
(* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1)))
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x)
(* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1)))
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x)
(* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1)))
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x)
x
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1)))
(fma.f64 (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x) x x)
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1)))
(fma.f64 (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x) x x)
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1)))
(fma.f64 (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x) x x)
x
(* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1)))
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (fma.f64 (/.f64 y x) x x))
(* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1)))
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (fma.f64 (/.f64 y x) x x))
(* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1)))
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (fma.f64 (/.f64 y x) x x))

rewrite184.0ms (2.4%)

Memory
20.0MiB live, 259.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01036
01636
17936
269936
0884333
Stop Event
iter limit
node limit
iter limit
Counts
4 → 354
Calls
Call 1
Inputs
(-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)
(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)
(*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))
Outputs
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eval58.0ms (0.8%)

Memory
-9.4MiB live, 108.5MiB allocated
Compiler

Compiled 13 403 to 1 423 computations (89.4% saved)

prune16.0ms (0.2%)

Memory
7.2MiB live, 46.0MiB allocated
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New43212444
Fresh000
Picked101
Done000
Total43312445
Accuracy
100.0%
Counts
445 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z)))
71.7%
(fma.f64 (*.f64 (neg.f64 (log.f64 y)) (fma.f64 y y #s(literal -1/4 binary64))) (pow.f64 (-.f64 y #s(literal 1/2 binary64)) #s(literal -1 binary64)) (+.f64 x (-.f64 y z)))
99.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z)))))
55.1%
(-.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x) #s(literal 2 binary64)) (*.f64 y y)) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 x y))) z)
99.7%
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x))) y) z)
99.7%
(-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)))) y) z)
70.0%
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z)
64.5%
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) z)
81.5%
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 (fma.f64 (neg.f64 (log.f64 y)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) y)) (/.f64 (-.f64 x z) y)) y y))
76.0%
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)))
32.0%
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y))
34.1%
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z))
Compiler

Compiled 308 to 256 computations (16.9% saved)

simplify137.0ms (1.8%)

Memory
-17.5MiB live, 58.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x))
cost-diff0
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x))) y)
cost-diff0
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x))) y) z)
cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x)))
cost-diff0
(+.f64 #s(literal 1/2 binary64) y)
cost-diff0
(fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)
cost-diff0
(-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z))
cost-diff0
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)))
cost-diff0
(log.f64 y)
cost-diff0
(fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)
cost-diff0
#s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x))
cost-diff0
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z)
cost-diff0
(neg.f64 z)
cost-diff0
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z))
cost-diff0
(+.f64 x (-.f64 y z))
cost-diff0
(log.f64 y)
cost-diff0
(-.f64 #s(literal -1/2 binary64) y)
cost-diff0
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z)))
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
031202
050190
195186
2207186
3620186
41600186
52869186
63910186
74199186
84245186
94253186
104295186
114306186
124306186
134320186
04320186
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z)))
(-.f64 #s(literal -1/2 binary64) y)
#s(literal -1/2 binary64)
y
(log.f64 y)
(+.f64 x (-.f64 y z))
x
(-.f64 y z)
z
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z))
(neg.f64 z)
z
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z)
#s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x))
(fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)
#s(literal -1/2 binary64)
(log.f64 y)
y
x
z
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)))
(-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z))
y
(fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)
(+.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
(log.f64 y)
z
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x))) y) z)
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x))) y)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x)))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x))
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x)
(-.f64 #s(literal -1/2 binary64) y)
#s(literal -1/2 binary64)
y
(log.f64 y)
x
z
Outputs
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z)))
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (+.f64 (-.f64 y z) x))
(-.f64 #s(literal -1/2 binary64) y)
#s(literal -1/2 binary64)
y
(log.f64 y)
(+.f64 x (-.f64 y z))
(+.f64 (-.f64 y z) x)
x
(-.f64 y z)
z
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z))
(neg.f64 z)
z
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z)
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x)) z)
#s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x))
#s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x))
(fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)
(fma.f64 (log.f64 y) #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
(log.f64 y)
y
x
z
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y (fma.f64 (-.f64 y #s(literal -1/2 binary64)) (log.f64 y) z)))
(-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z))
(-.f64 y (fma.f64 (-.f64 y #s(literal -1/2 binary64)) (log.f64 y) z))
y
(fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)
(fma.f64 (-.f64 y #s(literal -1/2 binary64)) (log.f64 y) z)
(+.f64 #s(literal 1/2 binary64) y)
(-.f64 y #s(literal -1/2 binary64))
#s(literal 1/2 binary64)
(log.f64 y)
z
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x))) y) z)
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (+.f64 (-.f64 y z) x))
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x))) y)
(+.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x) y)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x)))
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x))
(/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x))
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x)
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)
(-.f64 #s(literal -1/2 binary64) y)
#s(literal -1/2 binary64)
y
(log.f64 y)
x
z

localize82.0ms (1.1%)

Memory
28.4MiB live, 107.5MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.09765625
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x))) y)
accuracy0.125
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x)
accuracy0.2421875
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x)))
accuracy0.3790737672290088
(/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x))
accuracy0
(log.f64 y)
accuracy0.08984375
(-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z))
accuracy0.10546875
(fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)
accuracy15.26562026278015
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)))
accuracy0
(fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)
accuracy0
(log.f64 y)
accuracy0.01171875
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z)
accuracy24.509898325778998
#s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x))
accuracy0
(neg.f64 z)
accuracy42.17019301864578
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z))
accuracy0
(-.f64 #s(literal -1/2 binary64) y)
accuracy0
(log.f64 y)
accuracy0.00390625
(+.f64 x (-.f64 y z))
accuracy0.09375
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z)))
Samples
64.0ms256×0valid
Compiler

Compiled 188 to 31 computations (83.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 48.0ms
ival-div: 13.0ms (27.3% of total)
ival-add: 10.0ms (21% of total)
ival-mult: 10.0ms (21% of total)
ival-sub: 9.0ms (18.9% of total)
ival-log: 4.0ms (8.4% of total)
ival-neg: 1.0ms (2.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series103.0ms (1.4%)

Memory
-19.8MiB live, 130.1MiB allocated
Counts
18 → 456
Calls
Call 1
Inputs
#s(alt (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) (patch (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal -1/2 binary64) y) (patch (-.f64 #s(literal -1/2 binary64) y) #<representation binary64>) () ())
#s(alt (log.f64 y) (patch (log.f64 y) #<representation binary64>) () ())
#s(alt (+.f64 x (-.f64 y z)) (patch (+.f64 x (-.f64 y z)) #<representation binary64>) () ())
#s(alt #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) (patch #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) #<representation binary64>) () ())
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())
#s(alt (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) (patch (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) #<representation binary64>) () ())
#s(alt #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) (patch #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x) (patch (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x) #<representation binary64>) () ())
#s(alt #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z))) (patch #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z))) #<representation binary64>) () ())
#s(alt (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) (patch (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) #<representation binary64>) () ())
#s(alt (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z) (patch (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 1/2 binary64) y) (patch (+.f64 #s(literal 1/2 binary64) y) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x))) #<representation binary64>) () ())
#s(alt (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x))) y) z) (patch (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x))) y) z) #<representation binary64>) () ())
#s(alt (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x))) y) (patch (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x))) y) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x)) #<representation binary64>) () ())
#s(alt (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x) (patch (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x) #<representation binary64>) () ())
Outputs
#s(alt (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) (taylor 0 z) (#s(alt (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) (patch (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) (taylor 0 z) (#s(alt (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) (patch (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) (taylor 0 z) (#s(alt (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) (patch (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) (taylor 0 z) (#s(alt (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) (patch (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 z) (#s(alt (+.f64 x (-.f64 y z)) (patch (+.f64 x (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y (* -1 z))) (taylor 0 z) (#s(alt (+.f64 x (-.f64 y z)) (patch (+.f64 x (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y (* -1 z))) (taylor 0 z) (#s(alt (+.f64 x (-.f64 y z)) (patch (+.f64 x (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y (* -1 z))) (taylor 0 z) (#s(alt (+.f64 x (-.f64 y z)) (patch (+.f64 x (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (- (+ x y) (* (log y) (+ 1/2 y))) (taylor 0 z) (#s(alt #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) (patch #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) (taylor 0 z) (#s(alt #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) (patch #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) (taylor 0 z) (#s(alt #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) (patch #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) (taylor 0 z) (#s(alt #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) (patch #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (- (+ x y) (* (log y) (+ 1/2 y))) (taylor 0 z) (#s(alt (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) (patch (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) #<representation binary64>) () ())) ())
#s(alt (- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) (taylor 0 z) (#s(alt (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) (patch (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) #<representation binary64>) () ())) ())
#s(alt (- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) (taylor 0 z) (#s(alt (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) (patch (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) #<representation binary64>) () ())) ())
#s(alt (- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) (taylor 0 z) (#s(alt (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) (patch (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) #<representation binary64>) () ())) ())
#s(alt (- (+ x y) (* (log y) (+ 1/2 y))) (taylor 0 z) (#s(alt #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z))) (patch #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) (taylor 0 z) (#s(alt #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z))) (patch #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) (taylor 0 z) (#s(alt #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z))) (patch #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) (taylor 0 z) (#s(alt #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z))) (patch #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z))) #<representation binary64>) () ())) ())
#s(alt (- y (* (log y) (+ 1/2 y))) (taylor 0 z) (#s(alt (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) (patch (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) #<representation binary64>) () ())) ())
#s(alt (- (+ y (* -1 z)) (* (log y) (+ 1/2 y))) (taylor 0 z) (#s(alt (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) (patch (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) #<representation binary64>) () ())) ())
#s(alt (- (+ y (* -1 z)) (* (log y) (+ 1/2 y))) (taylor 0 z) (#s(alt (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) (patch (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) #<representation binary64>) () ())) ())
#s(alt (- (+ y (* -1 z)) (* (log y) (+ 1/2 y))) (taylor 0 z) (#s(alt (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) (patch (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) #<representation binary64>) () ())) ())
#s(alt (* (log y) (+ 1/2 y)) (taylor 0 z) (#s(alt (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z) (patch (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z) #<representation binary64>) () ())) ())
#s(alt (+ z (* (log y) (+ 1/2 y))) (taylor 0 z) (#s(alt (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z) (patch (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z) #<representation binary64>) () ())) ())
#s(alt (+ z (* (log y) (+ 1/2 y))) (taylor 0 z) (#s(alt (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z) (patch (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z) #<representation binary64>) () ())) ())
#s(alt (+ z (* (log y) (+ 1/2 y))) (taylor 0 z) (#s(alt (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z) (patch (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) (taylor 0 z) (#s(alt (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x))) y) z) (patch (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x))) y) z) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) (taylor 0 z) (#s(alt (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x))) y) z) (patch (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x))) y) z) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) (taylor 0 z) (#s(alt (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x))) y) z) (patch (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x))) y) z) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) (taylor 0 z) (#s(alt (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x))) y) z) (patch (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x))) y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) (patch (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1)) (taylor inf z) (#s(alt (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) (patch (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1)) (taylor inf z) (#s(alt (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) (patch (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1)) (taylor inf z) (#s(alt (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) (patch (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt (+.f64 x (-.f64 y z)) (patch (+.f64 x (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ (/ x z) (/ y z)) 1)) (taylor inf z) (#s(alt (+.f64 x (-.f64 y z)) (patch (+.f64 x (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ (/ x z) (/ y z)) 1)) (taylor inf z) (#s(alt (+.f64 x (-.f64 y z)) (patch (+.f64 x (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ (/ x z) (/ y z)) 1)) (taylor inf z) (#s(alt (+.f64 x (-.f64 y z)) (patch (+.f64 x (-.f64 y z)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x) (patch (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x) (patch (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x) (patch (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
32.0ms
y
@0
((+ (* (- -1/2 y) (log y)) (+ x (- y z))) (- -1/2 y) (log y) (+ x (- y z)) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg z) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (- x (* (+ y 1/2) (log y))) y) (+ (* -1/2 (log y)) x) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (- y (+ (* (+ 1/2 y) (log y)) z)) (+ (* (+ 1/2 y) (log y)) z) (+ 1/2 y) (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) (/ 1 (+ (* (- -1/2 y) (log y)) x)) (+ (* (- -1/2 y) (log y)) x))
23.0ms
y
@-inf
((+ (* (- -1/2 y) (log y)) (+ x (- y z))) (- -1/2 y) (log y) (+ x (- y z)) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg z) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (- x (* (+ y 1/2) (log y))) y) (+ (* -1/2 (log y)) x) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (- y (+ (* (+ 1/2 y) (log y)) z)) (+ (* (+ 1/2 y) (log y)) z) (+ 1/2 y) (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) (/ 1 (+ (* (- -1/2 y) (log y)) x)) (+ (* (- -1/2 y) (log y)) x))
8.0ms
y
@inf
((+ (* (- -1/2 y) (log y)) (+ x (- y z))) (- -1/2 y) (log y) (+ x (- y z)) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg z) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (- x (* (+ y 1/2) (log y))) y) (+ (* -1/2 (log y)) x) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (- y (+ (* (+ 1/2 y) (log y)) z)) (+ (* (+ 1/2 y) (log y)) z) (+ 1/2 y) (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) (/ 1 (+ (* (- -1/2 y) (log y)) x)) (+ (* (- -1/2 y) (log y)) x))
7.0ms
z
@0
((+ (* (- -1/2 y) (log y)) (+ x (- y z))) (- -1/2 y) (log y) (+ x (- y z)) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg z) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (- x (* (+ y 1/2) (log y))) y) (+ (* -1/2 (log y)) x) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (- y (+ (* (+ 1/2 y) (log y)) z)) (+ (* (+ 1/2 y) (log y)) z) (+ 1/2 y) (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) (/ 1 (+ (* (- -1/2 y) (log y)) x)) (+ (* (- -1/2 y) (log y)) x))
2.0ms
x
@0
((+ (* (- -1/2 y) (log y)) (+ x (- y z))) (- -1/2 y) (log y) (+ x (- y z)) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg z) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (- x (* (+ y 1/2) (log y))) y) (+ (* -1/2 (log y)) x) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (- y (+ (* (+ 1/2 y) (log y)) z)) (+ (* (+ 1/2 y) (log y)) z) (+ 1/2 y) (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) (/ 1 (+ (* (- -1/2 y) (log y)) x)) (+ (* (- -1/2 y) (log y)) x))

simplify187.0ms (2.5%)

Memory
-5.5MiB live, 173.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04196145
113275669
243835511
082155147
Stop Event
iter limit
node limit
Counts
456 → 428
Calls
Call 1
Inputs
(+ x (+ y (* -1 (* (log y) (+ 1/2 y)))))
(+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y))))))
(+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y))))))
(+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y))))))
(+ x y)
(+ x (+ y (* -1 z)))
(+ x (+ y (* -1 z)))
(+ x (+ y (* -1 z)))
(- (+ x y) (* (log y) (+ 1/2 y)))
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y)))
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y)))
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y)))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(- (+ x y) (* (log y) (+ 1/2 y)))
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y)))
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y)))
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y)))
(- (+ x y) (* (log y) (+ 1/2 y)))
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y)))
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y)))
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y)))
(- y (* (log y) (+ 1/2 y)))
(- (+ y (* -1 z)) (* (log y) (+ 1/2 y)))
(- (+ y (* -1 z)) (* (log y) (+ 1/2 y)))
(- (+ y (* -1 z)) (* (log y) (+ 1/2 y)))
(* (log y) (+ 1/2 y))
(+ z (* (log y) (+ 1/2 y)))
(+ z (* (log y) (+ 1/2 y)))
(+ z (* (log y) (+ 1/2 y)))
(+ x (+ y (* -1 (* (log y) (+ 1/2 y)))))
(+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y))))))
(+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y))))))
(+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y))))))
(* -1 z)
(* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1))
(* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1))
(* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1))
(* -1 z)
(* z (- (+ (/ x z) (/ y z)) 1))
(* z (- (+ (/ x z) (/ y z)) 1))
(* z (- (+ (/ x z) (/ y z)) 1))
(* -1 z)
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))
(* -1 z)
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))
(* -1 z)
(* z (- (/ y z) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))
(* z (- (/ y z) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))
(* z (- (/ y z) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))
z
(* z (+ 1 (/ (* (log y) (+ 1/2 y)) z)))
(* z (+ 1 (/ (* (log y) (+ 1/2 y)) z)))
(* z (+ 1 (/ (* (log y) (+ 1/2 y)) z)))
(* -1 z)
(* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1))
(* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1))
(* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z)))))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z)))))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z)))))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z)))))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z)))))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ (- y (* (log y) (+ 1/2 y))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (- y (* (log y) (+ 1/2 y))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (- y (* (log y) (+ 1/2 y))) z)))))
z
(* -1 (* z (- (* -1 (/ (* (log y) (+ 1/2 y)) z)) 1)))
(* -1 (* z (- (* -1 (/ (* (log y) (+ 1/2 y)) z)) 1)))
(* -1 (* z (- (* -1 (/ (* (log y) (+ 1/2 y)) z)) 1)))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z)))))
(- (+ x (* -1/2 (log y))) z)
(- (+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) z)
(- (+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) z)
(- (+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) z)
-1/2
(- (* -1 y) 1/2)
(- (* -1 y) 1/2)
(- (* -1 y) 1/2)
(log y)
(log y)
(log y)
(log y)
(- x z)
(- (+ x y) z)
(- (+ x y) z)
(- (+ x y) z)
(- x (+ z (* 1/2 (log y))))
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y))))
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y))))
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y))))
(- x (+ z (* 1/2 (log y))))
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y))))
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y))))
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y))))
(- x (* 1/2 (log y)))
(- (+ x (* y (- 1 (log y)))) (* 1/2 (log y)))
(- (+ x (* y (- 1 (log y)))) (* 1/2 (log y)))
(- (+ x (* y (- 1 (log y)))) (* 1/2 (log y)))
(+ x (* -1/2 (log y)))
(+ x (* -1/2 (log y)))
(+ x (* -1/2 (log y)))
(+ x (* -1/2 (log y)))
(- x (+ z (* 1/2 (log y))))
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y))))
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y))))
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y))))
(* -1 (+ z (* 1/2 (log y))))
(- (* y (- 1 (log y))) (+ z (* 1/2 (log y))))
(- (* y (- 1 (log y))) (+ z (* 1/2 (log y))))
(- (* y (- 1 (log y))) (+ z (* 1/2 (log y))))
(+ z (* 1/2 (log y)))
(+ z (+ (* 1/2 (log y)) (* y (log y))))
(+ z (+ (* 1/2 (log y)) (* y (log y))))
(+ z (+ (* 1/2 (log y)) (* y (log y))))
1/2
(+ 1/2 y)
(+ 1/2 y)
(+ 1/2 y)
(+ x (* -1/2 (log y)))
(+ x (+ (* -1 (* y (log y))) (* -1/2 (log y))))
(+ x (+ (* -1 (* y (log y))) (* -1/2 (log y))))
(+ x (+ (* -1 (* y (log y))) (* -1/2 (log y))))
(- (+ x (* -1/2 (log y))) z)
(- (+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) z)
(- (+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) z)
(- (+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) z)
(+ x (* -1/2 (log y)))
(+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y))))))
(+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y))))))
(+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y))))))
(/ 1 (+ x (* -1/2 (log y))))
(+ (/ 1 (+ x (* -1/2 (log y)))) (/ (* y (log y)) (pow (+ x (* -1/2 (log y))) 2)))
(+ (* y (- (/ (* y (pow (log y) 2)) (pow (+ x (* -1/2 (log y))) 3)) (* -1 (/ (log y) (pow (+ x (* -1/2 (log y))) 2))))) (/ 1 (+ x (* -1/2 (log y)))))
(+ (* y (- (* y (- (/ (* y (pow (log y) 3)) (pow (+ x (* -1/2 (log y))) 4)) (* -1 (/ (pow (log y) 2) (pow (+ x (* -1/2 (log y))) 3))))) (* -1 (/ (log y) (pow (+ x (* -1/2 (log y))) 2))))) (/ 1 (+ x (* -1/2 (log y)))))
(+ x (* -1/2 (log y)))
(+ x (+ (* -1 (* y (log y))) (* -1/2 (log y))))
(+ x (+ (* -1 (* y (log y))) (* -1/2 (log y))))
(+ x (+ (* -1 (* y (log y))) (* -1/2 (log y))))
(* y (+ 1 (log (/ 1 y))))
(* y (- (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))) (/ z y)))
(* y (- (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))) (/ z y)))
(* y (- (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))) (/ z y)))
(* -1 y)
(* -1 (* y (+ 1 (* 1/2 (/ 1 y)))))
(* -1 (* y (+ 1 (* 1/2 (/ 1 y)))))
(* -1 (* y (+ 1 (* 1/2 (/ 1 y)))))
(* -1 (log (/ 1 y)))
(* -1 (log (/ 1 y)))
(* -1 (log (/ 1 y)))
(* -1 (log (/ 1 y)))
y
(* y (- (+ 1 (/ x y)) (/ z y)))
(* y (- (+ 1 (/ x y)) (/ z y)))
(* y (- (+ 1 (/ x y)) (/ z y)))
(* y (- 1 (* -1 (log (/ 1 y)))))
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y)))))
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y)))))
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y)))))
(* y (- 1 (* -1 (log (/ 1 y)))))
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y)))))
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y)))))
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y)))))
(* y (- 1 (* -1 (log (/ 1 y)))))
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))))
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))))
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))))
(+ x (* 1/2 (log (/ 1 y))))
(+ x (* 1/2 (log (/ 1 y))))
(+ x (* 1/2 (log (/ 1 y))))
(+ x (* 1/2 (log (/ 1 y))))
(* y (- 1 (* -1 (log (/ 1 y)))))
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y)))))
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y)))))
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y)))))
(* y (- 1 (* -1 (log (/ 1 y)))))
(* y (- (+ 1 (* -1 (/ (+ z (* -1/2 (log (/ 1 y)))) y))) (* -1 (log (/ 1 y)))))
(* y (- (+ 1 (* -1 (/ (+ z (* -1/2 (log (/ 1 y)))) y))) (* -1 (log (/ 1 y)))))
(* y (- (+ 1 (* -1 (/ (+ z (* -1/2 (log (/ 1 y)))) y))) (* -1 (log (/ 1 y)))))
(* -1 (* y (log (/ 1 y))))
(* y (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y))))
(* y (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y))))
(* y (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y))))
y
(* y (+ 1 (* 1/2 (/ 1 y))))
(* y (+ 1 (* 1/2 (/ 1 y))))
(* y (+ 1 (* 1/2 (/ 1 y))))
(* y (log (/ 1 y)))
(* y (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y))))
(* y (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y))))
(* y (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y))))
(* y (+ 1 (log (/ 1 y))))
(* y (- (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))) (/ z y)))
(* y (- (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))) (/ z y)))
(* y (- (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))) (/ z y)))
(* y (+ 1 (log (/ 1 y))))
(* y (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))))
(* y (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))))
(* y (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))))
(/ 1 (* y (log (/ 1 y))))
(/ (+ (* -1 (/ (+ (* 1/2 (/ 1 (log (/ 1 y)))) (/ x (pow (log (/ 1 y)) 2))) y)) (/ 1 (log (/ 1 y)))) y)
(/ (- (+ (/ 1 (log (/ 1 y))) (/ (* (+ x (* 1/2 (log (/ 1 y)))) (+ (* 1/2 (/ 1 (log (/ 1 y)))) (/ x (pow (log (/ 1 y)) 2)))) (* (pow y 2) (log (/ 1 y))))) (+ (/ 1/2 (* y (log (/ 1 y)))) (/ x (* y (pow (log (/ 1 y)) 2))))) y)
(/ (- (+ (* -1 (/ (* (pow (+ x (* 1/2 (log (/ 1 y)))) 2) (+ (* 1/2 (/ 1 (log (/ 1 y)))) (/ x (pow (log (/ 1 y)) 2)))) (* (pow y 3) (pow (log (/ 1 y)) 2)))) (/ 1 (log (/ 1 y)))) (+ (* -1 (/ (* (+ x (* 1/2 (log (/ 1 y)))) (+ (* 1/2 (/ 1 (log (/ 1 y)))) (/ x (pow (log (/ 1 y)) 2)))) (* (pow y 2) (log (/ 1 y))))) (+ (/ 1/2 (* y (log (/ 1 y)))) (/ x (* y (pow (log (/ 1 y)) 2)))))) y)
(* y (log (/ 1 y)))
(* y (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y))))
(* y (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y))))
(* y (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y))))
(* -1 (* y (- (+ (log -1) (* -1 (log (/ -1 y)))) 1)))
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z) y)))) 1)))
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z) y)))) 1)))
(* -1 (* y (- (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (+ x (* -1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) z) y)))) 1)))
(* -1 y)
(* -1 (* y (+ 1 (* 1/2 (/ 1 y)))))
(* -1 (* y (+ 1 (* 1/2 (/ 1 y)))))
(* -1 (* y (+ 1 (* 1/2 (/ 1 y)))))
(+ (log -1) (* -1 (log (/ -1 y))))
(+ (log -1) (* -1 (log (/ -1 y))))
(+ (log -1) (* -1 (log (/ -1 y))))
(+ (log -1) (* -1 (log (/ -1 y))))
y
(* -1 (* y (- (* -1 (/ (- x z) y)) 1)))
(* -1 (* y (- (* -1 (/ (- x z) y)) 1)))
(* -1 (* y (- (* -1 (/ (- x z) y)) 1)))
(* y (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))
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(*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64)) x)
(* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1)))
(*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64)) x)
(* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1)))
(*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64)) x)

rewrite246.0ms (3.3%)

Memory
22.2MiB live, 335.8MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
031173
050161
1280157
22668157
09091157
Stop Event
iter limit
node limit
iter limit
Counts
18 → 1 494
Calls
Call 1
Inputs
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z)))
(-.f64 #s(literal -1/2 binary64) y)
(log.f64 y)
(+.f64 x (-.f64 y z))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z))
(neg.f64 z)
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z)
#s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x))
(fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)))
(-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z))
(fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)
(+.f64 #s(literal 1/2 binary64) y)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x)))
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x))) y) z)
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x))) y)
(/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x))
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x)
Outputs
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eval604.0ms (8%)

Memory
-128.1MiB live, 463.3MiB allocated
Compiler

Compiled 80 030 to 3 948 computations (95.1% saved)

prune65.0ms (0.9%)

Memory
-5.4MiB live, 188.6MiB allocated
Pruning

18 alts after pruning (16 fresh and 2 done)

PrunedKeptTotal
New1 987152 002
Fresh617
Picked325
Done000
Total1 996182 014
Accuracy
100.0%
Counts
2 014 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
76.0%
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) #s(approx (+ x (- y z)) (-.f64 y z)))
49.6%
(-.f64 (/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) (log.f64 y)) (-.f64 x y) (*.f64 (-.f64 y #s(literal 1/2 binary64)) (-.f64 (*.f64 x x) (*.f64 y y)))) (*.f64 (-.f64 y #s(literal 1/2 binary64)) (-.f64 x y))) z)
64.5%
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- -1/2 y) (log y)) x) (*.f64 (neg.f64 (log.f64 y)) y)))) y) z)
57.2%
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) x)) (/.f64 #s(literal 1 binary64) x))) y) z)
99.7%
(-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)))) y) z)
88.9%
(-.f64 (+.f64 #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64)) x)) y) z)
64.5%
(-.f64 #s(approx (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) z)
70.0%
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z)
46.0%
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))) z)
32.0%
#s(approx (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y))
13.3%
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)))
51.5%
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y #s(literal 1/2 binary64)) (fma.f64 y y #s(literal -1/4 binary64)))) (log.f64 y) z)))
66.1%
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (fma.f64 (*.f64 z (log.f64 y)) (/.f64 (+.f64 #s(literal 1/2 binary64) y) z) z))))
42.8%
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y)))))
31.9%
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (log.f64 y) y))))
34.1%
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z))
66.2%
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y) z) z (neg.f64 z))))
42.8%
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y)))
Compiler

Compiled 421 to 359 computations (14.7% saved)

simplify231.0ms (3.1%)

Memory
16.0MiB live, 134.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (- -1/2 y) (log y)) x) (*.f64 (neg.f64 (log.f64 y)) y)))
cost-diff0
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- -1/2 y) (log y)) x) (*.f64 (neg.f64 (log.f64 y)) y)))) y)
cost-diff0
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- -1/2 y) (log y)) x) (*.f64 (neg.f64 (log.f64 y)) y)))) y) z)
cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- -1/2 y) (log y)) x) (*.f64 (neg.f64 (log.f64 y)) y))))
cost-diff0
#s(approx (+ x (- y z)) (-.f64 y z))
cost-diff0
(log.f64 y)
cost-diff0
(-.f64 #s(literal -1/2 binary64) y)
cost-diff0
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) #s(approx (+ x (- y z)) (-.f64 y z)))
cost-diff0
(*.f64 #s(literal -1/2 binary64) (log.f64 y))
cost-diff0
#s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))
cost-diff0
#s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y))))
cost-diff0
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))) z)
cost-diff0
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)))
cost-diff64
(-.f64 #s(literal 0 binary64) (*.f64 z z))
cost-diff192
(+.f64 #s(literal 0 binary64) z)
cost-diff1024
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))
cost-diff0
(+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)))) y)
cost-diff0
(-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)))) y) z)
cost-diff128
(-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y))))
cost-diff1088
(/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047307
071286
1134278
2287270
3653270
41597270
53451270
65279270
76323270
87290270
08267256
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)))) y) z)
(+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)))) y)
(-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y))))
x
(/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)))
(log.f64 y)
y
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y))
#s(literal 1 binary64)
(+.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
z
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))
(-.f64 #s(literal 0 binary64) (*.f64 z z))
#s(literal 0 binary64)
(*.f64 z z)
z
(+.f64 #s(literal 0 binary64) z)
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))) z)
#s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y))))
#s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))
(*.f64 #s(literal -1/2 binary64) (log.f64 y))
#s(literal -1/2 binary64)
(log.f64 y)
y
z
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) #s(approx (+ x (- y z)) (-.f64 y z)))
(-.f64 #s(literal -1/2 binary64) y)
#s(literal -1/2 binary64)
y
(log.f64 y)
#s(approx (+ x (- y z)) (-.f64 y z))
(-.f64 y z)
z
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- -1/2 y) (log y)) x) (*.f64 (neg.f64 (log.f64 y)) y)))) y) z)
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- -1/2 y) (log y)) x) (*.f64 (neg.f64 (log.f64 y)) y)))) y)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- -1/2 y) (log y)) x) (*.f64 (neg.f64 (log.f64 y)) y))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (- -1/2 y) (log y)) x) (*.f64 (neg.f64 (log.f64 y)) y)))
#s(approx (+ (* (- -1/2 y) (log y)) x) (*.f64 (neg.f64 (log.f64 y)) y))
(*.f64 (neg.f64 (log.f64 y)) y)
(neg.f64 (log.f64 y))
(log.f64 y)
y
z
Outputs
(-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)))) y) z)
(-.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y) (-.f64 z x))
(+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)))) y)
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x))
(-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y))))
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x)
x
(/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)))
(*.f64 (-.f64 y #s(literal -1/2 binary64)) (log.f64 y))
(log.f64 y)
y
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y))
(/.f64 #s(literal 1 binary64) (-.f64 y #s(literal -1/2 binary64)))
#s(literal 1 binary64)
(+.f64 #s(literal 1/2 binary64) y)
(-.f64 y #s(literal -1/2 binary64))
#s(literal 1/2 binary64)
z
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))
(neg.f64 z)
(-.f64 #s(literal 0 binary64) (*.f64 z z))
(*.f64 (neg.f64 z) z)
#s(literal 0 binary64)
(*.f64 z z)
z
(+.f64 #s(literal 0 binary64) z)
z
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))) z)
#s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y))))
#s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))
(*.f64 #s(literal -1/2 binary64) (log.f64 y))
#s(literal -1/2 binary64)
(log.f64 y)
y
z
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) #s(approx (+ x (- y z)) (-.f64 y z)))
(-.f64 #s(literal -1/2 binary64) y)
#s(literal -1/2 binary64)
y
(log.f64 y)
#s(approx (+ x (- y z)) (-.f64 y z))
(-.f64 y z)
z
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- -1/2 y) (log y)) x) (*.f64 (neg.f64 (log.f64 y)) y)))) y) z)
(-.f64 #s(approx (+ (* (- -1/2 y) (log y)) x) (*.f64 (neg.f64 y) (log.f64 y))) (-.f64 z y))
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- -1/2 y) (log y)) x) (*.f64 (neg.f64 (log.f64 y)) y)))) y)
(+.f64 #s(approx (+ (* (- -1/2 y) (log y)) x) (*.f64 (neg.f64 y) (log.f64 y))) y)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- -1/2 y) (log y)) x) (*.f64 (neg.f64 (log.f64 y)) y))))
#s(approx (+ (* (- -1/2 y) (log y)) x) (*.f64 (neg.f64 y) (log.f64 y)))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (- -1/2 y) (log y)) x) (*.f64 (neg.f64 (log.f64 y)) y)))
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (- -1/2 y) (log y)) x) (*.f64 (neg.f64 y) (log.f64 y))))
#s(approx (+ (* (- -1/2 y) (log y)) x) (*.f64 (neg.f64 (log.f64 y)) y))
#s(approx (+ (* (- -1/2 y) (log y)) x) (*.f64 (neg.f64 y) (log.f64 y)))
(*.f64 (neg.f64 (log.f64 y)) y)
(*.f64 (neg.f64 y) (log.f64 y))
(neg.f64 (log.f64 y))
(log.f64 y)
y
z

localize203.0ms (2.7%)

Memory
-2.4MiB live, 136.6MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.2421875
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- -1/2 y) (log y)) x) (*.f64 (neg.f64 (log.f64 y)) y))))
accuracy0.30078125
(*.f64 (neg.f64 (log.f64 y)) y)
accuracy0.3790737672290088
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (- -1/2 y) (log y)) x) (*.f64 (neg.f64 (log.f64 y)) y)))
accuracy37.094672255762994
#s(approx (+ (* (- -1/2 y) (log y)) x) (*.f64 (neg.f64 (log.f64 y)) y))
accuracy0
(-.f64 #s(literal -1/2 binary64) y)
accuracy0
(log.f64 y)
accuracy0.09375
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) #s(approx (+ x (- y z)) (-.f64 y z)))
accuracy17.598750571671292
#s(approx (+ x (- y z)) (-.f64 y z))
accuracy0
(log.f64 y)
accuracy0.01171875
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))) z)
accuracy24.509898325778998
#s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y))))
accuracy30.925189283568482
#s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))
accuracy0
(+.f64 #s(literal 0 binary64) z)
accuracy0
(*.f64 z z)
accuracy30.733738286848475
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))
accuracy42.17019301864578
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)))
accuracy0.01171875
(-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)))) y) z)
accuracy0.015625
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y))
accuracy0.09765625
(+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)))) y)
accuracy0.197597509768442
(/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)))
Samples
147.0ms256×0valid
Compiler

Compiled 233 to 39 computations (83.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 96.0ms
ival-div: 63.0ms (65.4% of total)
ival-add: 11.0ms (11.4% of total)
ival-sub: 9.0ms (9.3% of total)
ival-mult: 8.0ms (8.3% of total)
ival-log: 4.0ms (4.2% of total)
ival-neg: 1.0ms (1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series69.0ms (0.9%)

Memory
-6.7MiB live, 150.8MiB allocated
Counts
24 → 528
Calls
Call 1
Inputs
#s(alt (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y))) (patch (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y))) #<representation binary64>) () ())
#s(alt (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)))) (patch (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)))) #<representation binary64>) () ())
#s(alt (-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)))) y) z) (patch (-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)))) y) z) #<representation binary64>) () ())
#s(alt (+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)))) y) (patch (+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)))) y) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)) (patch (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 0 binary64) z) (patch (+.f64 #s(literal 0 binary64) z) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 0 binary64) (*.f64 z z)) (patch (-.f64 #s(literal 0 binary64) (*.f64 z z)) #<representation binary64>) () ())
#s(alt #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))) (patch #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))) #<representation binary64>) () ())
#s(alt (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))) z) (patch (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))) z) #<representation binary64>) () ())
#s(alt #s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))) (patch #s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y))) (patch #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal -1/2 binary64) (log.f64 y)) (patch (*.f64 #s(literal -1/2 binary64) (log.f64 y)) #<representation binary64>) () ())
#s(alt (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) #s(approx (+ x (- y z)) (-.f64 y z))) (patch (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) #s(approx (+ x (- y z)) (-.f64 y z))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal -1/2 binary64) y) (patch (-.f64 #s(literal -1/2 binary64) y) #<representation binary64>) () ())
#s(alt (log.f64 y) (patch (log.f64 y) #<representation binary64>) () ())
#s(alt #s(approx (+ x (- y z)) (-.f64 y z)) (patch #s(approx (+ x (- y z)) (-.f64 y z)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- -1/2 y) (log y)) x) (*.f64 (neg.f64 (log.f64 y)) y)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- -1/2 y) (log y)) x) (*.f64 (neg.f64 (log.f64 y)) y)))) #<representation binary64>) () ())
#s(alt (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- -1/2 y) (log y)) x) (*.f64 (neg.f64 (log.f64 y)) y)))) y) z) (patch (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- -1/2 y) (log y)) x) (*.f64 (neg.f64 (log.f64 y)) y)))) y) z) #<representation binary64>) () ())
#s(alt (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- -1/2 y) (log y)) x) (*.f64 (neg.f64 (log.f64 y)) y)))) y) (patch (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- -1/2 y) (log y)) x) (*.f64 (neg.f64 (log.f64 y)) y)))) y) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- -1/2 y) (log y)) x) (*.f64 (neg.f64 (log.f64 y)) y))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- -1/2 y) (log y)) x) (*.f64 (neg.f64 (log.f64 y)) y))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)) #<representation binary64>) () ())
#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (- -1/2 y) (log y)) x) (*.f64 (neg.f64 (log.f64 y)) y)) (patch #s(approx (+ (* (- -1/2 y) (log y)) x) (*.f64 (neg.f64 (log.f64 y)) y)) #<representation binary64>) () ())
#s(alt (*.f64 (neg.f64 (log.f64 y)) y) (patch (*.f64 (neg.f64 (log.f64 y)) y) #<representation binary64>) () ())
Outputs
#s(alt (- (+ x y) (* (log y) (+ 1/2 y))) (taylor 0 z) (#s(alt (-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)))) y) z) (patch (-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)))) y) z) #<representation binary64>) () ())) ())
#s(alt (- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) (taylor 0 z) (#s(alt (-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)))) y) z) (patch (-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)))) y) z) #<representation binary64>) () ())) ())
#s(alt (- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) (taylor 0 z) (#s(alt (-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)))) y) z) (patch (-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)))) y) z) #<representation binary64>) () ())) ())
#s(alt (- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) (taylor 0 z) (#s(alt (-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)))) y) z) (patch (-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)))) y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)) (patch (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)) (patch (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)) (patch (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)) (patch (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)) #<representation binary64>) () ())) ())
#s(alt z (taylor 0 z) (#s(alt (+.f64 #s(literal 0 binary64) z) (patch (+.f64 #s(literal 0 binary64) z) #<representation binary64>) () ())) ())
#s(alt z (taylor 0 z) (#s(alt (+.f64 #s(literal 0 binary64) z) (patch (+.f64 #s(literal 0 binary64) z) #<representation binary64>) () ())) ())
#s(alt z (taylor 0 z) (#s(alt (+.f64 #s(literal 0 binary64) z) (patch (+.f64 #s(literal 0 binary64) z) #<representation binary64>) () ())) ())
#s(alt z (taylor 0 z) (#s(alt (+.f64 #s(literal 0 binary64) z) (patch (+.f64 #s(literal 0 binary64) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow z 2)) (taylor 0 z) (#s(alt (-.f64 #s(literal 0 binary64) (*.f64 z z)) (patch (-.f64 #s(literal 0 binary64) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow z 2)) (taylor 0 z) (#s(alt (-.f64 #s(literal 0 binary64) (*.f64 z z)) (patch (-.f64 #s(literal 0 binary64) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow z 2)) (taylor 0 z) (#s(alt (-.f64 #s(literal 0 binary64) (*.f64 z z)) (patch (-.f64 #s(literal 0 binary64) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow z 2)) (taylor 0 z) (#s(alt (-.f64 #s(literal 0 binary64) (*.f64 z z)) (patch (-.f64 #s(literal 0 binary64) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (- (+ x y) (* (log y) (+ 1/2 y))) (taylor 0 z) (#s(alt #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))) (patch #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) (taylor 0 z) (#s(alt #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))) (patch #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) (taylor 0 z) (#s(alt #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))) (patch #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) (taylor 0 z) (#s(alt #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))) (patch #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))) #<representation binary64>) () ())) ())
#s(alt (- (+ x y) (* (log y) (+ 1/2 y))) (taylor 0 z) (#s(alt (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))) z) (patch (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))) z) #<representation binary64>) () ())) ())
#s(alt (- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) (taylor 0 z) (#s(alt (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))) z) (patch (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))) z) #<representation binary64>) () ())) ())
#s(alt (- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) (taylor 0 z) (#s(alt (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))) z) (patch (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))) z) #<representation binary64>) () ())) ())
#s(alt (- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) (taylor 0 z) (#s(alt (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))) z) (patch (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))) z) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) (taylor 0 z) (#s(alt (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) #s(approx (+ x (- y z)) (-.f64 y z))) (patch (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) #s(approx (+ x (- y z)) (-.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) (taylor 0 z) (#s(alt (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) #s(approx (+ x (- y z)) (-.f64 y z))) (patch (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) #s(approx (+ x (- y z)) (-.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) (taylor 0 z) (#s(alt (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) #s(approx (+ x (- y z)) (-.f64 y z))) (patch (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) #s(approx (+ x (- y z)) (-.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) (taylor 0 z) (#s(alt (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) #s(approx (+ x (- y z)) (-.f64 y z))) (patch (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) #s(approx (+ x (- y z)) (-.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 z) (#s(alt #s(approx (+ x (- y z)) (-.f64 y z)) (patch #s(approx (+ x (- y z)) (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y (* -1 z))) (taylor 0 z) (#s(alt #s(approx (+ x (- y z)) (-.f64 y z)) (patch #s(approx (+ x (- y z)) (-.f64 y z)) #<representation binary64>) () ())) ())
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Calls

9 calls:

TimeVariablePointExpression
16.0ms
y
@0
((/ (log y) (/ 1 (+ 1/2 y))) (- x (/ (log y) (/ 1 (+ 1/2 y)))) (- (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) z) (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) (/ (- 0 (* z z)) (+ 0 z)) (+ 0 z) (- 0 (* z z)) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (- x (* (+ y 1/2) (log y))) y) (+ (* -1/2 (log y)) x) (* -1/2 (log y)) (+ (* (- -1/2 y) (log y)) (+ x (- y z))) (- -1/2 y) (log y) (+ x (- y z)) (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) (/ 1 (+ (* (- -1/2 y) (log y)) x)) (/ 1 (+ 1/2 y)) (* z z) (+ (* (- -1/2 y) (log y)) x) (* (neg (log y)) y))
9.0ms
y
@-inf
((/ (log y) (/ 1 (+ 1/2 y))) (- x (/ (log y) (/ 1 (+ 1/2 y)))) (- (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) z) (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) (/ (- 0 (* z z)) (+ 0 z)) (+ 0 z) (- 0 (* z z)) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (- x (* (+ y 1/2) (log y))) y) (+ (* -1/2 (log y)) x) (* -1/2 (log y)) (+ (* (- -1/2 y) (log y)) (+ x (- y z))) (- -1/2 y) (log y) (+ x (- y z)) (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) (/ 1 (+ (* (- -1/2 y) (log y)) x)) (/ 1 (+ 1/2 y)) (* z z) (+ (* (- -1/2 y) (log y)) x) (* (neg (log y)) y))
8.0ms
y
@inf
((/ (log y) (/ 1 (+ 1/2 y))) (- x (/ (log y) (/ 1 (+ 1/2 y)))) (- (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) z) (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) (/ (- 0 (* z z)) (+ 0 z)) (+ 0 z) (- 0 (* z z)) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (- x (* (+ y 1/2) (log y))) y) (+ (* -1/2 (log y)) x) (* -1/2 (log y)) (+ (* (- -1/2 y) (log y)) (+ x (- y z))) (- -1/2 y) (log y) (+ x (- y z)) (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) (/ 1 (+ (* (- -1/2 y) (log y)) x)) (/ 1 (+ 1/2 y)) (* z z) (+ (* (- -1/2 y) (log y)) x) (* (neg (log y)) y))
2.0ms
z
@0
((/ (log y) (/ 1 (+ 1/2 y))) (- x (/ (log y) (/ 1 (+ 1/2 y)))) (- (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) z) (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) (/ (- 0 (* z z)) (+ 0 z)) (+ 0 z) (- 0 (* z z)) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (- x (* (+ y 1/2) (log y))) y) (+ (* -1/2 (log y)) x) (* -1/2 (log y)) (+ (* (- -1/2 y) (log y)) (+ x (- y z))) (- -1/2 y) (log y) (+ x (- y z)) (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) (/ 1 (+ (* (- -1/2 y) (log y)) x)) (/ 1 (+ 1/2 y)) (* z z) (+ (* (- -1/2 y) (log y)) x) (* (neg (log y)) y))
2.0ms
x
@0
((/ (log y) (/ 1 (+ 1/2 y))) (- x (/ (log y) (/ 1 (+ 1/2 y)))) (- (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) z) (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) (/ (- 0 (* z z)) (+ 0 z)) (+ 0 z) (- 0 (* z z)) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (- x (* (+ y 1/2) (log y))) y) (+ (* -1/2 (log y)) x) (* -1/2 (log y)) (+ (* (- -1/2 y) (log y)) (+ x (- y z))) (- -1/2 y) (log y) (+ x (- y z)) (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) (/ 1 (+ (* (- -1/2 y) (log y)) x)) (/ 1 (+ 1/2 y)) (* z z) (+ (* (- -1/2 y) (log y)) x) (* (neg (log y)) y))

simplify312.0ms (4.1%)

Memory
11.8MiB live, 200.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04496668
114066174
244765874
084115518
Stop Event
iter limit
node limit
Counts
528 → 488
Calls
Call 1
Inputs
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2
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y
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(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y)))
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rewrite147.0ms (1.9%)

Memory
-1.4MiB live, 195.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047276
071255
1368239
23687239
08416225
Stop Event
iter limit
node limit
iter limit
Counts
24 → 754
Calls
Call 1
Inputs
(/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)))
(-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y))))
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(-.f64 #s(literal 0 binary64) (*.f64 z z))
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(*.f64 #s(literal -1/2 binary64) (log.f64 y))
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(-.f64 #s(literal -1/2 binary64) y)
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Outputs
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eval228.0ms (3%)

Memory
23.5MiB live, 290.4MiB allocated
Compiler

Compiled 24 930 to 3 291 computations (86.8% saved)

prune51.0ms (0.7%)

Memory
-12.3MiB live, 112.5MiB allocated
Pruning

24 alts after pruning (20 fresh and 4 done)

PrunedKeptTotal
New1 29691 305
Fresh01111
Picked325
Done022
Total1 299241 323
Accuracy
100.0%
Counts
1 323 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
76.0%
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 y) #s(literal -1 binary64))) #s(approx (+ x (- y z)) (-.f64 y z)))
64.5%
(fma.f64 #s(approx (- -1/2 y) (neg.f64 y)) (log.f64 y) #s(approx (+ x (- y z)) (-.f64 y z)))
49.6%
(-.f64 (/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) (log.f64 y)) (-.f64 x y) (*.f64 (-.f64 y #s(literal 1/2 binary64)) (-.f64 (*.f64 x x) (*.f64 y y)))) (*.f64 (-.f64 y #s(literal 1/2 binary64)) (-.f64 x y))) z)
64.5%
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- -1/2 y) (log y)) x) (*.f64 (neg.f64 (log.f64 y)) y)))) y) z)
57.2%
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) x)) (/.f64 #s(literal 1 binary64) x))) y) z)
87.9%
(-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) #s(approx (/ 1 (+ 1/2 y)) (/.f64 #s(literal 1 binary64) y)))) y) z)
88.9%
(-.f64 (+.f64 #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64)) x)) y) z)
64.5%
(-.f64 #s(approx (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) z)
70.0%
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z)
46.0%
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))) z)
32.0%
#s(approx (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y))
10.0%
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (*.f64 (neg.f64 z) (*.f64 (neg.f64 z) z)) (neg.f64 z)) (+.f64 #s(literal 0 binary64) z)))
13.3%
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z))))
10.9%
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal -1 binary64) z))))
13.3%
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 z) z) z))
34.1%
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)))
51.5%
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y #s(literal 1/2 binary64)) (fma.f64 y y #s(literal -1/4 binary64)))) (log.f64 y) z)))
66.1%
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (fma.f64 (*.f64 z (log.f64 y)) (/.f64 (+.f64 #s(literal 1/2 binary64) y) z) z))))
42.8%
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y)))))
31.9%
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (log.f64 y) y))))
13.3%
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (*.f64 z z) (/.f64 #s(literal -1 binary64) z)))
34.1%
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z))
66.2%
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y) z) z (neg.f64 z))))
42.8%
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y)))
Compiler

Compiled 531 to 460 computations (13.4% saved)

simplify122.0ms (1.6%)

Memory
9.7MiB live, 84.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(log.f64 y)
cost-diff0
(neg.f64 y)
cost-diff0
#s(approx (- -1/2 y) (neg.f64 y))
cost-diff0
(fma.f64 #s(approx (- -1/2 y) (neg.f64 y)) (log.f64 y) #s(approx (+ x (- y z)) (-.f64 y z)))
cost-diff0
(log.f64 y)
cost-diff0
(-.f64 #s(literal 1 binary64) (log.f64 y))
cost-diff0
(*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)
cost-diff0
#s(approx (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y))
cost-diff0
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z))))
cost-diff64
(-.f64 #s(literal 0 binary64) (*.f64 z z))
cost-diff1024
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z)))
cost-diff1408
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z))
cost-diff0
(neg.f64 z)
cost-diff0
(*.f64 (neg.f64 z) z)
cost-diff0
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 z) z) z))
cost-diff1024
(/.f64 (*.f64 (neg.f64 z) z) z)
cost-diff0
#s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64)) x))
cost-diff0
(+.f64 #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64)) x)) y)
cost-diff0
(-.f64 (+.f64 #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64)) x)) y) z)
cost-diff1024
(*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64)) x)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049278
072251
1133231
2301231
31024231
42911219
56140219
08237209
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(-.f64 (+.f64 #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64)) x)) y) z)
(+.f64 #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64)) x)) y)
#s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64)) x)
(fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal -1/2 binary64) y) x)
(-.f64 #s(literal -1/2 binary64) y)
#s(literal -1/2 binary64)
y
x
(log.f64 y)
#s(literal 1 binary64)
z
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 z) z) z))
(/.f64 (*.f64 (neg.f64 z) z) z)
(*.f64 (neg.f64 z) z)
(neg.f64 z)
z
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z)))
(-.f64 #s(literal 0 binary64) (*.f64 z z))
#s(literal 0 binary64)
(*.f64 z z)
z
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z))
#s(literal -1 binary64)
(/.f64 #s(literal -1 binary64) z)
#s(approx (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y))
(*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)
(-.f64 #s(literal 1 binary64) (log.f64 y))
#s(literal 1 binary64)
(log.f64 y)
y
(fma.f64 #s(approx (- -1/2 y) (neg.f64 y)) (log.f64 y) #s(approx (+ x (- y z)) (-.f64 y z)))
#s(approx (- -1/2 y) (neg.f64 y))
(neg.f64 y)
y
(log.f64 y)
#s(approx (+ x (- y z)) (-.f64 y z))
(-.f64 y z)
z
Outputs
(-.f64 (+.f64 #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64)) x)) y) z)
(-.f64 #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) (-.f64 z y))
(+.f64 #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64)) x)) y)
(+.f64 #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)) y)
#s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64)) x))
#s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x))
(*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64)) x)
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) x)
(fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64))
(fma.f64 (log.f64 y) (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal -1/2 binary64) y) x)
(-.f64 #s(literal -1/2 binary64) y)
#s(literal -1/2 binary64)
y
x
(log.f64 y)
#s(literal 1 binary64)
z
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 z) z) z))
#s(approx (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (neg.f64 z))
(/.f64 (*.f64 (neg.f64 z) z) z)
(neg.f64 z)
(*.f64 (neg.f64 z) z)
(neg.f64 z)
z
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z))))
#s(approx (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (neg.f64 z))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z)))
(neg.f64 z)
(-.f64 #s(literal 0 binary64) (*.f64 z z))
(*.f64 (neg.f64 z) z)
#s(literal 0 binary64)
(*.f64 z z)
z
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z))
z
#s(literal -1 binary64)
(/.f64 #s(literal -1 binary64) z)
#s(approx (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y))
(*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)
(-.f64 #s(literal 1 binary64) (log.f64 y))
#s(literal 1 binary64)
(log.f64 y)
y
(fma.f64 #s(approx (- -1/2 y) (neg.f64 y)) (log.f64 y) #s(approx (+ x (- y z)) (-.f64 y z)))
#s(approx (- -1/2 y) (neg.f64 y))
(neg.f64 y)
y
(log.f64 y)
#s(approx (+ x (- y z)) (-.f64 y z))
(-.f64 y z)
z

localize111.0ms (1.5%)

Memory
10.1MiB live, 165.2MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0
(log.f64 y)
accuracy0.09375
(fma.f64 #s(approx (- -1/2 y) (neg.f64 y)) (log.f64 y) #s(approx (+ x (- y z)) (-.f64 y z)))
accuracy17.598750571671292
#s(approx (+ x (- y z)) (-.f64 y z))
accuracy29.126901786370443
#s(approx (- -1/2 y) (neg.f64 y))
accuracy0
(log.f64 y)
accuracy0.0078125
(-.f64 #s(literal 1 binary64) (log.f64 y))
accuracy0.25390625
(*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)
accuracy43.47105098576456
#s(approx (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y))
accuracy0
(*.f64 z z)
accuracy0.140625
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z))
accuracy30.733738286848475
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z)))
accuracy42.17019301864578
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z))))
accuracy0
(*.f64 (neg.f64 z) z)
accuracy0
(neg.f64 z)
accuracy30.733738286848475
(/.f64 (*.f64 (neg.f64 z) z) z)
accuracy42.17019301864578
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 z) z) z))
accuracy0.01171875
(-.f64 (+.f64 #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64)) x)) y) z)
accuracy0.09765625
(+.f64 #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64)) x)) y)
accuracy0.18816376953688405
(fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64))
accuracy7.108829317217063
(*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64)) x)
Samples
84.0ms256×0valid
Compiler

Compiled 207 to 41 computations (80.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 55.0ms
ival-div: 12.0ms (21.6% of total)
ival-sub: 12.0ms (21.6% of total)
ival-mult: 11.0ms (19.8% of total)
ival-add: 10.0ms (18% of total)
ival-log: 8.0ms (14.4% of total)
ival-neg: 2.0ms (3.6% of total)
exact: 1.0ms (1.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series82.0ms (1.1%)

Memory
-35.3MiB live, 132.9MiB allocated
Counts
22 → 456
Calls
Call 1
Inputs
#s(alt (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64)) x) (patch (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64)) x) #<representation binary64>) () ())
#s(alt (-.f64 (+.f64 #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64)) x)) y) z) (patch (-.f64 (+.f64 #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64)) x)) y) z) #<representation binary64>) () ())
#s(alt (+.f64 #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64)) x)) y) (patch (+.f64 #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64)) x)) y) #<representation binary64>) () ())
#s(alt #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64)) x)) (patch #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64)) x)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (neg.f64 z) z) z) (patch (/.f64 (*.f64 (neg.f64 z) z) z) #<representation binary64>) () ())
#s(alt #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 z) z) z)) (patch #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 z) z) z)) #<representation binary64>) () ())
#s(alt (*.f64 (neg.f64 z) z) (patch (*.f64 (neg.f64 z) z) #<representation binary64>) () ())
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z)) (patch (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z))) (patch (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 0 binary64) (*.f64 z z)) (patch (-.f64 #s(literal 0 binary64) (*.f64 z z)) #<representation binary64>) () ())
#s(alt #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z)))) (patch #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z)))) #<representation binary64>) () ())
#s(alt #s(approx (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) (patch #s(approx (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) (log.f64 y)) (patch (-.f64 #s(literal 1 binary64) (log.f64 y)) #<representation binary64>) () ())
#s(alt (log.f64 y) (patch (log.f64 y) #<representation binary64>) () ())
#s(alt (fma.f64 #s(approx (- -1/2 y) (neg.f64 y)) (log.f64 y) #s(approx (+ x (- y z)) (-.f64 y z))) (patch (fma.f64 #s(approx (- -1/2 y) (neg.f64 y)) (log.f64 y) #s(approx (+ x (- y z)) (-.f64 y z))) #<representation binary64>) () ())
#s(alt #s(approx (- -1/2 y) (neg.f64 y)) (patch #s(approx (- -1/2 y) (neg.f64 y)) #<representation binary64>) () ())
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())
#s(alt #s(approx (+ x (- y z)) (-.f64 y z)) (patch #s(approx (+ x (- y z)) (-.f64 y z)) #<representation binary64>) () ())
Outputs
#s(alt (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) (taylor 0 z) (#s(alt (-.f64 (+.f64 #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64)) x)) y) z) (patch (-.f64 (+.f64 #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64)) x)) y) z) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) (taylor 0 z) (#s(alt (-.f64 (+.f64 #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64)) x)) y) z) (patch (-.f64 (+.f64 #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64)) x)) y) z) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) (taylor 0 z) (#s(alt (-.f64 (+.f64 #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64)) x)) y) z) (patch (-.f64 (+.f64 #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64)) x)) y) z) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) (taylor 0 z) (#s(alt (-.f64 (+.f64 #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64)) x)) y) z) (patch (-.f64 (+.f64 #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64)) x)) y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (/.f64 (*.f64 (neg.f64 z) z) z) (patch (/.f64 (*.f64 (neg.f64 z) z) z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (/.f64 (*.f64 (neg.f64 z) z) z) (patch (/.f64 (*.f64 (neg.f64 z) z) z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (/.f64 (*.f64 (neg.f64 z) z) z) (patch (/.f64 (*.f64 (neg.f64 z) z) z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (/.f64 (*.f64 (neg.f64 z) z) z) (patch (/.f64 (*.f64 (neg.f64 z) z) z) #<representation binary64>) () ())) ())
#s(alt (- (+ x y) (* (log y) (+ 1/2 y))) (taylor 0 z) (#s(alt #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 z) z) z)) (patch #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 z) z) z)) #<representation binary64>) () ())) ())
#s(alt (- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) (taylor 0 z) (#s(alt #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 z) z) z)) (patch #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 z) z) z)) #<representation binary64>) () ())) ())
#s(alt (- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) (taylor 0 z) (#s(alt #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 z) z) z)) (patch #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 z) z) z)) #<representation binary64>) () ())) ())
#s(alt (- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) (taylor 0 z) (#s(alt #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 z) z) z)) (patch #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 z) z) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow z 2)) (taylor 0 z) (#s(alt (*.f64 (neg.f64 z) z) (patch (*.f64 (neg.f64 z) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow z 2)) (taylor 0 z) (#s(alt (*.f64 (neg.f64 z) z) (patch (*.f64 (neg.f64 z) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow z 2)) (taylor 0 z) (#s(alt (*.f64 (neg.f64 z) z) (patch (*.f64 (neg.f64 z) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow z 2)) (taylor 0 z) (#s(alt (*.f64 (neg.f64 z) z) (patch (*.f64 (neg.f64 z) z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt z (taylor 0 z) (#s(alt (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z)) (patch (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z)) #<representation binary64>) () ())) ())
#s(alt z (taylor 0 z) (#s(alt (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z)) (patch (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z)) #<representation binary64>) () ())) ())
#s(alt z (taylor 0 z) (#s(alt (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z)) (patch (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z)) #<representation binary64>) () ())) ())
#s(alt z (taylor 0 z) (#s(alt (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z)) (patch (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z))) (patch (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z))) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z))) (patch (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z))) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z))) (patch (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z))) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z))) (patch (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow z 2)) (taylor 0 z) (#s(alt (-.f64 #s(literal 0 binary64) (*.f64 z z)) (patch (-.f64 #s(literal 0 binary64) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow z 2)) (taylor 0 z) (#s(alt (-.f64 #s(literal 0 binary64) (*.f64 z z)) (patch (-.f64 #s(literal 0 binary64) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow z 2)) (taylor 0 z) (#s(alt (-.f64 #s(literal 0 binary64) (*.f64 z z)) (patch (-.f64 #s(literal 0 binary64) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow z 2)) (taylor 0 z) (#s(alt (-.f64 #s(literal 0 binary64) (*.f64 z z)) (patch (-.f64 #s(literal 0 binary64) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (- (+ x y) (* (log y) (+ 1/2 y))) (taylor 0 z) (#s(alt #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z)))) (patch #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z)))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) (taylor 0 z) (#s(alt #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z)))) (patch #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z)))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) (taylor 0 z) (#s(alt #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z)))) (patch #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z)))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) (taylor 0 z) (#s(alt #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z)))) (patch #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z)))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) (taylor 0 z) (#s(alt #s(approx (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) (patch #s(approx (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) (taylor 0 z) (#s(alt #s(approx (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) (patch #s(approx (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) (taylor 0 z) (#s(alt #s(approx (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) (patch #s(approx (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) (taylor 0 z) (#s(alt #s(approx (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) (patch #s(approx (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) (taylor 0 z) (#s(alt (fma.f64 #s(approx (- -1/2 y) (neg.f64 y)) (log.f64 y) #s(approx (+ x (- y z)) (-.f64 y z))) (patch (fma.f64 #s(approx (- -1/2 y) (neg.f64 y)) (log.f64 y) #s(approx (+ x (- y z)) (-.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) (taylor 0 z) (#s(alt (fma.f64 #s(approx (- -1/2 y) (neg.f64 y)) (log.f64 y) #s(approx (+ x (- y z)) (-.f64 y z))) (patch (fma.f64 #s(approx (- -1/2 y) (neg.f64 y)) (log.f64 y) #s(approx (+ x (- y z)) (-.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) (taylor 0 z) (#s(alt (fma.f64 #s(approx (- -1/2 y) (neg.f64 y)) (log.f64 y) #s(approx (+ x (- y z)) (-.f64 y z))) (patch (fma.f64 #s(approx (- -1/2 y) (neg.f64 y)) (log.f64 y) #s(approx (+ x (- y z)) (-.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) (taylor 0 z) (#s(alt (fma.f64 #s(approx (- -1/2 y) (neg.f64 y)) (log.f64 y) #s(approx (+ x (- y z)) (-.f64 y z))) (patch (fma.f64 #s(approx (- -1/2 y) (neg.f64 y)) (log.f64 y) #s(approx (+ x (- y z)) (-.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (pow z 2) (taylor 0 z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())) ())
#s(alt (pow z 2) (taylor 0 z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())) ())
#s(alt (pow z 2) (taylor 0 z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())) ())
#s(alt (pow z 2) (taylor 0 z) (#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 z) (#s(alt #s(approx (+ x (- y z)) (-.f64 y z)) (patch #s(approx (+ x (- y z)) (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y (* -1 z))) (taylor 0 z) (#s(alt #s(approx (+ x (- y z)) (-.f64 y z)) (patch #s(approx (+ x (- y z)) (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y (* -1 z))) (taylor 0 z) (#s(alt #s(approx (+ x (- y z)) (-.f64 y z)) (patch #s(approx (+ x (- y z)) (-.f64 y z)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1))) (taylor -inf x) (#s(alt #s(approx (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) (patch #s(approx (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (fma.f64 #s(approx (- -1/2 y) (neg.f64 y)) (log.f64 y) #s(approx (+ x (- y z)) (-.f64 y z))) (patch (fma.f64 #s(approx (- -1/2 y) (neg.f64 y)) (log.f64 y) #s(approx (+ x (- y z)) (-.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (- -1/2 y) (neg.f64 y)) (log.f64 y) #s(approx (+ x (- y z)) (-.f64 y z))) (patch (fma.f64 #s(approx (- -1/2 y) (neg.f64 y)) (log.f64 y) #s(approx (+ x (- y z)) (-.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (- -1/2 y) (neg.f64 y)) (log.f64 y) #s(approx (+ x (- y z)) (-.f64 y z))) (patch (fma.f64 #s(approx (- -1/2 y) (neg.f64 y)) (log.f64 y) #s(approx (+ x (- y z)) (-.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (- -1/2 y) (neg.f64 y)) (log.f64 y) #s(approx (+ x (- y z)) (-.f64 y z))) (patch (fma.f64 #s(approx (- -1/2 y) (neg.f64 y)) (log.f64 y) #s(approx (+ x (- y z)) (-.f64 y z))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf x) (#s(alt (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt #s(approx (+ x (- y z)) (-.f64 y z)) (patch #s(approx (+ x (- y z)) (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- y z) x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (- y z)) (-.f64 y z)) (patch #s(approx (+ x (- y z)) (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- y z) x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (- y z)) (-.f64 y z)) (patch #s(approx (+ x (- y z)) (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- y z) x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (- y z)) (-.f64 y z)) (patch #s(approx (+ x (- y z)) (-.f64 y z)) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
23.0ms
y
@inf
((* (+ (* (/ (- -1/2 y) x) (log y)) 1) x) (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (/ (* (neg z) z) z) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (* (neg z) z) (neg z) (/ -1 (/ -1 z)) (/ (- 0 (* z z)) (/ -1 (/ -1 z))) (- 0 (* z z)) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (* (- 1 (log y)) y) (- 1 (log y)) (log y) (+ (* (- -1/2 y) (log y)) (+ x (- y z))) (- -1/2 y) (neg y) (+ (* (/ (- -1/2 y) x) (log y)) 1) (* z z) (+ x (- y z)))
10.0ms
y
@0
((* (+ (* (/ (- -1/2 y) x) (log y)) 1) x) (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (/ (* (neg z) z) z) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (* (neg z) z) (neg z) (/ -1 (/ -1 z)) (/ (- 0 (* z z)) (/ -1 (/ -1 z))) (- 0 (* z z)) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (* (- 1 (log y)) y) (- 1 (log y)) (log y) (+ (* (- -1/2 y) (log y)) (+ x (- y z))) (- -1/2 y) (neg y) (+ (* (/ (- -1/2 y) x) (log y)) 1) (* z z) (+ x (- y z)))
9.0ms
y
@-inf
((* (+ (* (/ (- -1/2 y) x) (log y)) 1) x) (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (/ (* (neg z) z) z) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (* (neg z) z) (neg z) (/ -1 (/ -1 z)) (/ (- 0 (* z z)) (/ -1 (/ -1 z))) (- 0 (* z z)) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (* (- 1 (log y)) y) (- 1 (log y)) (log y) (+ (* (- -1/2 y) (log y)) (+ x (- y z))) (- -1/2 y) (neg y) (+ (* (/ (- -1/2 y) x) (log y)) 1) (* z z) (+ x (- y z)))
6.0ms
x
@-inf
((* (+ (* (/ (- -1/2 y) x) (log y)) 1) x) (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (/ (* (neg z) z) z) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (* (neg z) z) (neg z) (/ -1 (/ -1 z)) (/ (- 0 (* z z)) (/ -1 (/ -1 z))) (- 0 (* z z)) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (* (- 1 (log y)) y) (- 1 (log y)) (log y) (+ (* (- -1/2 y) (log y)) (+ x (- y z))) (- -1/2 y) (neg y) (+ (* (/ (- -1/2 y) x) (log y)) 1) (* z z) (+ x (- y z)))
5.0ms
z
@0
((* (+ (* (/ (- -1/2 y) x) (log y)) 1) x) (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (/ (* (neg z) z) z) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (* (neg z) z) (neg z) (/ -1 (/ -1 z)) (/ (- 0 (* z z)) (/ -1 (/ -1 z))) (- 0 (* z z)) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (* (- 1 (log y)) y) (- 1 (log y)) (log y) (+ (* (- -1/2 y) (log y)) (+ x (- y z))) (- -1/2 y) (neg y) (+ (* (/ (- -1/2 y) x) (log y)) 1) (* z z) (+ x (- y z)))

simplify180.0ms (2.4%)

Memory
8.0MiB live, 194.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02504981
18054531
225274366
082184057
Stop Event
iter limit
node limit
Counts
456 → 424
Calls
Call 1
Inputs
(+ x (+ y (* -1 (* (log y) (+ 1/2 y)))))
(+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y))))))
(+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y))))))
(+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y))))))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(- (+ x y) (* (log y) (+ 1/2 y)))
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y)))
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y)))
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y)))
(* -1 (pow z 2))
(* -1 (pow z 2))
(* -1 (pow z 2))
(* -1 (pow z 2))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
z
z
z
z
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 (pow z 2))
(* -1 (pow z 2))
(* -1 (pow z 2))
(* -1 (pow z 2))
(- (+ x y) (* (log y) (+ 1/2 y)))
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y)))
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y)))
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y)))
(+ x (+ y (* -1 (* (log y) (+ 1/2 y)))))
(+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y))))))
(+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y))))))
(+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y))))))
(+ x (+ y (* -1 (* (log y) (+ 1/2 y)))))
(+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y))))))
(+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y))))))
(+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y))))))
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(+ x y)
(+ x (+ y (* -1 z)))
(+ x (+ y (* -1 z)))
(+ x (+ y (* -1 z)))
(* -1 z)
(* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1))
(* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1))
(* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))
(* -1 (pow z 2))
(* -1 (pow z 2))
(* -1 (pow z 2))
(* -1 (pow z 2))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
z
z
z
z
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 (pow z 2))
(* -1 (pow z 2))
(* -1 (pow z 2))
(* -1 (pow z 2))
(* -1 z)
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))
(* -1 z)
(* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1))
(* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1))
(* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1))
(* -1 z)
(* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1))
(* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1))
(* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1))
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(* -1 z)
(* z (- (+ (/ x z) (/ y z)) 1))
(* z (- (+ (/ x z) (/ y z)) 1))
(* z (- (+ (/ x z) (/ y z)) 1))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z)))))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z)))))
(* -1 (pow z 2))
(* -1 (pow z 2))
(* -1 (pow z 2))
(* -1 (pow z 2))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
z
z
z
z
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 (pow z 2))
(* -1 (pow z 2))
(* -1 (pow z 2))
(* -1 (pow z 2))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z)))))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z)))))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z)))))
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ x y) z)))))
(* x (+ 1 (* -1/2 (/ (log y) x))))
(+ (* -1 (* y (log y))) (* x (+ 1 (* -1/2 (/ (log y) x)))))
(+ (* -1 (* y (log y))) (* x (+ 1 (* -1/2 (/ (log y) x)))))
(+ (* -1 (* y (log y))) (* x (+ 1 (* -1/2 (/ (log y) x)))))
(- (+ x (* -1/2 (log y))) z)
(- (+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) z)
(- (+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) z)
(- (+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) z)
(+ x (* -1/2 (log y)))
(+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y))))))
(+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y))))))
(+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y))))))
(+ x (* -1/2 (log y)))
(+ x (+ (* -1 (* y (log y))) (* -1/2 (log y))))
(+ x (+ (* -1 (* y (log y))) (* -1/2 (log y))))
(+ x (+ (* -1 (* y (log y))) (* -1/2 (log y))))
(- x (+ z (* 1/2 (log y))))
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y))))
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y))))
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y))))
(- x (+ z (* 1/2 (log y))))
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y))))
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y))))
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y))))
(- (+ x (* -1/2 (log y))) z)
(- (+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) z)
(- (+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) z)
(- (+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) z)
(* y (- 1 (log y)))
(* y (- 1 (log y)))
(* y (- 1 (log y)))
(* y (- 1 (log y)))
(- 1 (log y))
(- 1 (log y))
(- 1 (log y))
(- 1 (log y))
(log y)
(log y)
(log y)
(log y)
(- (+ x (* -1/2 (log y))) z)
(- (+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) z)
(- (+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) z)
(- (+ x (+ (* -1/2 (log y)) (* y (+ 1 (* -1 (log y)))))) z)
-1/2
(- (* -1 y) 1/2)
(- (* -1 y) 1/2)
(- (* -1 y) 1/2)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(+ 1 (* -1/2 (/ (log y) x)))
(+ 1 (+ (* -1 (/ (* y (log y)) x)) (* -1/2 (/ (log y) x))))
(+ 1 (+ (* -1 (/ (* y (log y)) x)) (* -1/2 (/ (log y) x))))
(+ 1 (+ (* -1 (/ (* y (log y)) x)) (* -1/2 (/ (log y) x))))
(- x z)
(- (+ x y) z)
(- (+ x y) z)
(- (+ x y) z)
(* y (log (/ 1 y)))
(* y (+ (log (/ 1 y)) (/ (* x (+ 1 (* 1/2 (/ (log (/ 1 y)) x)))) y)))
(* y (+ (log (/ 1 y)) (/ (* x (+ 1 (* 1/2 (/ (log (/ 1 y)) x)))) y)))
(* y (+ (log (/ 1 y)) (/ (* x (+ 1 (* 1/2 (/ (log (/ 1 y)) x)))) y)))
(* y (+ 1 (log (/ 1 y))))
(* y (- (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))) (/ z y)))
(* y (- (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))) (/ z y)))
(* y (- (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))) (/ z y)))
(* y (+ 1 (log (/ 1 y))))
(* y (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))))
(* y (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))))
(* y (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))))
(* y (log (/ 1 y)))
(* y (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y))))
(* y (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y))))
(* y (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y))))
(* y (- 1 (* -1 (log (/ 1 y)))))
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y)))))
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y)))))
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y)))))
(* y (- 1 (* -1 (log (/ 1 y)))))
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y)))))
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y)))))
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y)))))
(* y (+ 1 (log (/ 1 y))))
(* y (- (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))) (/ z y)))
(* y (- (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))) (/ z y)))
(* y (- (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))) (/ z y)))
(* y (- 1 (* -1 (log (/ 1 y)))))
(* y (- 1 (* -1 (log (/ 1 y)))))
(* y (- 1 (* -1 (log (/ 1 y)))))
(* y (- 1 (* -1 (log (/ 1 y)))))
(- 1 (* -1 (log (/ 1 y))))
(- 1 (* -1 (log (/ 1 y))))
(- 1 (* -1 (log (/ 1 y))))
(- 1 (* -1 (log (/ 1 y))))
(* -1 (log (/ 1 y)))
(* -1 (log (/ 1 y)))
(* -1 (log (/ 1 y)))
(* -1 (log (/ 1 y)))
(* y (+ 1 (log (/ 1 y))))
(* y (- (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))) (/ z y)))
(* y (- (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))) (/ z y)))
(* y (- (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))) (/ z y)))
(* -1 y)
(* -1 (* y (+ 1 (* 1/2 (/ 1 y)))))
(* -1 (* y (+ 1 (* 1/2 (/ 1 y)))))
(* -1 (* y (+ 1 (* 1/2 (/ 1 y)))))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(/ (* y (log (/ 1 y))) x)
(* y (+ (* 1/2 (/ (log (/ 1 y)) (* x y))) (+ (/ 1 y) (/ (log (/ 1 y)) x))))
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Outputs
(+ x (+ y (* -1 (* (log y) (+ 1/2 y)))))
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x))
(+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y))))))
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 (+.f64 y x) z))
(+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y))))))
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 (+.f64 y x) z))
(+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y))))))
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 (+.f64 y x) z))
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(- (+ x y) (* (log y) (+ 1/2 y)))
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x))
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y)))
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 (+.f64 y x) z))
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y)))
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(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y)))
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(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 (+.f64 y x) z))
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rewrite162.0ms (2.1%)

Memory
19.2MiB live, 179.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049247
072222
1357200
23161200
08340194
Stop Event
iter limit
node limit
iter limit
Counts
22 → 800
Calls
Call 1
Inputs
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(-.f64 (+.f64 #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64)) x)) y) z)
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(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z)))
(-.f64 #s(literal 0 binary64) (*.f64 z z))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z))))
#s(approx (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y))
(*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)
(-.f64 #s(literal 1 binary64) (log.f64 y))
(log.f64 y)
(fma.f64 #s(approx (- -1/2 y) (neg.f64 y)) (log.f64 y) #s(approx (+ x (- y z)) (-.f64 y z)))
#s(approx (- -1/2 y) (neg.f64 y))
(neg.f64 y)
(fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64))
(*.f64 z z)
#s(approx (+ x (- y z)) (-.f64 y z))
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eval167.0ms (2.2%)

Memory
12.0MiB live, 280.8MiB allocated
Compiler

Compiled 21 054 to 2 547 computations (87.9% saved)

prune65.0ms (0.9%)

Memory
-18.0MiB live, 144.2MiB allocated
Pruning

30 alts after pruning (23 fresh and 7 done)

PrunedKeptTotal
New1 244101 254
Fresh21315
Picked235
Done044
Total1 248301 278
Accuracy
100.0%
Counts
1 278 → 30
Alt Table
Click to see full alt table
StatusAccuracyProgram
76.0%
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 y) #s(literal -1 binary64))) #s(approx (+ x (- y z)) (-.f64 y z)))
64.5%
(fma.f64 #s(approx (- -1/2 y) (neg.f64 y)) (log.f64 y) #s(approx (+ x (- y z)) (-.f64 y z)))
43.7%
(fma.f64 #s(approx (- -1/2 y) (neg.f64 y)) (log.f64 y) #s(approx (+ x (- y z)) (neg.f64 z)))
49.6%
(-.f64 (/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) (log.f64 y)) (-.f64 x y) (*.f64 (-.f64 y #s(literal 1/2 binary64)) (-.f64 (*.f64 x x) (*.f64 y y)))) (*.f64 (-.f64 y #s(literal 1/2 binary64)) (-.f64 x y))) z)
64.5%
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- -1/2 y) (log y)) x) (*.f64 (neg.f64 (log.f64 y)) y)))) y) z)
57.2%
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) x)) (/.f64 #s(literal 1 binary64) x))) y) z)
87.9%
(-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) #s(approx (/ 1 (+ 1/2 y)) (/.f64 #s(literal 1 binary64) y)))) y) z)
54.0%
(-.f64 (+.f64 #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (*.f64 #s(approx (+ (* (/ (- -1/2 y) x) (log y)) 1) (*.f64 (neg.f64 y) (/.f64 (log.f64 y) x))) x)) y) z)
57.3%
(-.f64 (+.f64 #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (*.f64 #s(approx (+ (* (/ (- -1/2 y) x) (log y)) 1) #s(literal 1 binary64)) x)) y) z)
64.5%
(-.f64 #s(approx (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) z)
70.0%
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z)
46.0%
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))) z)
32.0%
#s(approx (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y))
10.0%
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (*.f64 (neg.f64 z) (*.f64 (neg.f64 z) z)) (neg.f64 z)) (+.f64 #s(literal 0 binary64) z)))
7.2%
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 z z)) (/.f64 (*.f64 z z) (/.f64 #s(literal -1 binary64) z)))))
10.9%
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 z) z))))
13.2%
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) z) z))
13.3%
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z))))
13.3%
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 z) z) z))
34.1%
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)))
51.5%
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y #s(literal 1/2 binary64)) (fma.f64 y y #s(literal -1/4 binary64)))) (log.f64 y) z)))
66.1%
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (fma.f64 (*.f64 z (log.f64 y)) (/.f64 (+.f64 #s(literal 1/2 binary64) y) z) z))))
42.8%
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y)))))
31.9%
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (log.f64 y) y))))
7.7%
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal -1 binary64) z)) (/.f64 #s(literal -1 binary64) (*.f64 z z))))
13.3%
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) z)) (/.f64 #s(literal -1 binary64) z)))
13.3%
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)))
34.1%
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z))
66.2%
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y) z) z (neg.f64 z))))
42.8%
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y)))
Compiler

Compiled 938 to 505 computations (46.2% saved)

regimes74.0ms (1%)

Memory
20.7MiB live, 99.0MiB allocated
Counts
47 → 1
Calls
Call 1
Inputs
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z))
(-.f64 (+.f64 #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (*.f64 #s(approx (+ (* (/ (- -1/2 y) x) (log y)) 1) #s(literal 1 binary64)) x)) y) z)
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 z) z) z))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (*.f64 z z) (/.f64 #s(literal -1 binary64) z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)))
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) x)) (/.f64 #s(literal 1 binary64) x))) y) z)
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) z) z))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) z)) (/.f64 #s(literal -1 binary64) z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z))))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z))))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (*.f64 (neg.f64 z) (*.f64 (neg.f64 z) z)) (neg.f64 z)) (+.f64 #s(literal 0 binary64) z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal -1 binary64) z))))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 z) z))))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal -1 binary64) z)) (/.f64 #s(literal -1 binary64) (*.f64 z z))))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 z z)) (/.f64 (*.f64 z z) (/.f64 #s(literal -1 binary64) z)))))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (log.f64 y) y))))
#s(approx (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y))
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))) z)
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y)))
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z)
(fma.f64 #s(approx (- -1/2 y) (neg.f64 y)) (log.f64 y) #s(approx (+ x (- y z)) (neg.f64 z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y)))))
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) z)
(-.f64 #s(approx (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) z)
(fma.f64 #s(approx (- -1/2 y) (neg.f64 y)) (log.f64 y) #s(approx (+ x (- y z)) (-.f64 y z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)))
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) #s(approx (+ x (- y z)) (-.f64 y z)))
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z)))
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y) z) z (neg.f64 z))))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (fma.f64 (*.f64 z (log.f64 y)) (/.f64 (+.f64 #s(literal 1/2 binary64) y) z) z))))
(-.f64 (+.f64 #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (*.f64 #s(approx (+ (* (/ (- -1/2 y) x) (log y)) 1) (*.f64 (neg.f64 y) (/.f64 (log.f64 y) x))) x)) y) z)
(-.f64 (+.f64 #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64)) x)) y) z)
(-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) #s(approx (/ 1 (+ 1/2 y)) (/.f64 #s(literal 1 binary64) y)))) y) z)
(-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)))) y) z)
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- -1/2 y) (log y)) x) (*.f64 (neg.f64 (log.f64 y)) y)))) y) z)
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x))) y) z)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z)))))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y #s(literal 1/2 binary64)) (fma.f64 y y #s(literal -1/4 binary64)))) (log.f64 y) z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 (fma.f64 (neg.f64 (log.f64 y)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) y)) (/.f64 (-.f64 x z) y)) y y))
(-.f64 (/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) (log.f64 y)) (-.f64 x y) (*.f64 (-.f64 y #s(literal 1/2 binary64)) (-.f64 (*.f64 x x) (*.f64 y y)))) (*.f64 (-.f64 y #s(literal 1/2 binary64)) (-.f64 x y))) z)
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 y) #s(literal -1 binary64))) #s(approx (+ x (- y z)) (-.f64 y z)))
(fma.f64 (*.f64 (neg.f64 (log.f64 y)) (fma.f64 y y #s(literal -1/4 binary64))) (pow.f64 (-.f64 y #s(literal 1/2 binary64)) #s(literal -1 binary64)) (+.f64 x (-.f64 y z)))
(-.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x) #s(literal 2 binary64)) (*.f64 y y)) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 x y))) z)
Outputs
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z)))
Calls

5 calls:

17.0ms
y
16.0ms
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)
13.0ms
(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)
13.0ms
x
13.0ms
z
Results
AccuracySegmentsBranch
99.9%1x
99.9%1y
99.9%1z
99.9%1(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)
99.9%1(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)
Compiler

Compiled 25 to 28 computations (-12% saved)

regimes50.0ms (0.7%)

Memory
-12.2MiB live, 61.9MiB allocated
Counts
30 → 2
Calls
Call 1
Inputs
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z))
(-.f64 (+.f64 #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (*.f64 #s(approx (+ (* (/ (- -1/2 y) x) (log y)) 1) #s(literal 1 binary64)) x)) y) z)
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 z) z) z))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (*.f64 z z) (/.f64 #s(literal -1 binary64) z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)))
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) x)) (/.f64 #s(literal 1 binary64) x))) y) z)
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) z) z))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) z)) (/.f64 #s(literal -1 binary64) z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z))))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z))))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (*.f64 (neg.f64 z) (*.f64 (neg.f64 z) z)) (neg.f64 z)) (+.f64 #s(literal 0 binary64) z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal -1 binary64) z))))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 z) z))))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal -1 binary64) z)) (/.f64 #s(literal -1 binary64) (*.f64 z z))))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 z z)) (/.f64 (*.f64 z z) (/.f64 #s(literal -1 binary64) z)))))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (log.f64 y) y))))
#s(approx (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y))
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))) z)
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y)))
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z)
(fma.f64 #s(approx (- -1/2 y) (neg.f64 y)) (log.f64 y) #s(approx (+ x (- y z)) (neg.f64 z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y)))))
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) z)
(-.f64 #s(approx (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) z)
(fma.f64 #s(approx (- -1/2 y) (neg.f64 y)) (log.f64 y) #s(approx (+ x (- y z)) (-.f64 y z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)))
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) #s(approx (+ x (- y z)) (-.f64 y z)))
Outputs
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z)
(fma.f64 #s(approx (- -1/2 y) (neg.f64 y)) (log.f64 y) #s(approx (+ x (- y z)) (-.f64 y z)))
Calls

5 calls:

12.0ms
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)
11.0ms
x
9.0ms
(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)
9.0ms
z
9.0ms
y
Results
AccuracySegmentsBranch
91.6%3x
92.3%2y
80.5%3z
86.2%2(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)
86.7%2(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)
Compiler

Compiled 25 to 28 computations (-12% saved)

regimes9.0ms (0.1%)

Memory
16.4MiB live, 16.4MiB allocated
Counts
27 → 2
Calls
Call 1
Inputs
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z))
(-.f64 (+.f64 #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (*.f64 #s(approx (+ (* (/ (- -1/2 y) x) (log y)) 1) #s(literal 1 binary64)) x)) y) z)
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 z) z) z))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (*.f64 z z) (/.f64 #s(literal -1 binary64) z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)))
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) x)) (/.f64 #s(literal 1 binary64) x))) y) z)
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) z) z))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) z)) (/.f64 #s(literal -1 binary64) z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z))))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z))))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (*.f64 (neg.f64 z) (*.f64 (neg.f64 z) z)) (neg.f64 z)) (+.f64 #s(literal 0 binary64) z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal -1 binary64) z))))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 z) z))))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal -1 binary64) z)) (/.f64 #s(literal -1 binary64) (*.f64 z z))))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 z z)) (/.f64 (*.f64 z z) (/.f64 #s(literal -1 binary64) z)))))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (log.f64 y) y))))
#s(approx (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y))
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))) z)
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y)))
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z)
(fma.f64 #s(approx (- -1/2 y) (neg.f64 y)) (log.f64 y) #s(approx (+ x (- y z)) (neg.f64 z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y)))))
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) z)
(-.f64 #s(approx (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) z)
Outputs
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z)
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) z)
Calls

1 calls:

8.0ms
y
Results
AccuracySegmentsBranch
92.3%2y
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes18.0ms (0.2%)

Memory
-9.2MiB live, 28.4MiB allocated
Counts
25 → 2
Calls
Call 1
Inputs
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z))
(-.f64 (+.f64 #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (*.f64 #s(approx (+ (* (/ (- -1/2 y) x) (log y)) 1) #s(literal 1 binary64)) x)) y) z)
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 z) z) z))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (*.f64 z z) (/.f64 #s(literal -1 binary64) z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)))
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) x)) (/.f64 #s(literal 1 binary64) x))) y) z)
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) z) z))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) z)) (/.f64 #s(literal -1 binary64) z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z))))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z))))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (*.f64 (neg.f64 z) (*.f64 (neg.f64 z) z)) (neg.f64 z)) (+.f64 #s(literal 0 binary64) z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal -1 binary64) z))))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 z) z))))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal -1 binary64) z)) (/.f64 #s(literal -1 binary64) (*.f64 z z))))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 z z)) (/.f64 (*.f64 z z) (/.f64 #s(literal -1 binary64) z)))))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (log.f64 y) y))))
#s(approx (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y))
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))) z)
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y)))
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z)
(fma.f64 #s(approx (- -1/2 y) (neg.f64 y)) (log.f64 y) #s(approx (+ x (- y z)) (neg.f64 z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y)))))
Outputs
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z)
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y)))
Calls

2 calls:

9.0ms
x
7.0ms
y
Results
AccuracySegmentsBranch
70.0%1x
88.5%2y
Compiler

Compiled 2 to 6 computations (-200% saved)

regimes33.0ms (0.4%)

Memory
7.1MiB live, 48.6MiB allocated
Counts
22 → 4
Calls
Call 1
Inputs
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z))
(-.f64 (+.f64 #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (*.f64 #s(approx (+ (* (/ (- -1/2 y) x) (log y)) 1) #s(literal 1 binary64)) x)) y) z)
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 z) z) z))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (*.f64 z z) (/.f64 #s(literal -1 binary64) z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)))
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) x)) (/.f64 #s(literal 1 binary64) x))) y) z)
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) z) z))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) z)) (/.f64 #s(literal -1 binary64) z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z))))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z))))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (*.f64 (neg.f64 z) (*.f64 (neg.f64 z) z)) (neg.f64 z)) (+.f64 #s(literal 0 binary64) z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal -1 binary64) z))))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 z) z))))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal -1 binary64) z)) (/.f64 #s(literal -1 binary64) (*.f64 z z))))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 z z)) (/.f64 (*.f64 z z) (/.f64 #s(literal -1 binary64) z)))))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (log.f64 y) y))))
#s(approx (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y))
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))) z)
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y)))
Outputs
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y))
(-.f64 (+.f64 #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (*.f64 #s(approx (+ (* (/ (- -1/2 y) x) (log y)) 1) #s(literal 1 binary64)) x)) y) z)
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))) z)
(-.f64 (+.f64 #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (*.f64 #s(approx (+ (* (/ (- -1/2 y) x) (log y)) 1) #s(literal 1 binary64)) x)) y) z)
Calls

4 calls:

12.0ms
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)
7.0ms
y
7.0ms
(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)
7.0ms
z
Results
AccuracySegmentsBranch
71.6%3z
77.7%6(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)
81.3%4(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)
76.5%2y
Compiler

Compiled 24 to 25 computations (-4.2% saved)

regimes13.0ms (0.2%)

Memory
16.1MiB live, 16.1MiB allocated
Counts
20 → 2
Calls
Call 1
Inputs
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z))
(-.f64 (+.f64 #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (*.f64 #s(approx (+ (* (/ (- -1/2 y) x) (log y)) 1) #s(literal 1 binary64)) x)) y) z)
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 z) z) z))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (*.f64 z z) (/.f64 #s(literal -1 binary64) z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)))
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) x)) (/.f64 #s(literal 1 binary64) x))) y) z)
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) z) z))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) z)) (/.f64 #s(literal -1 binary64) z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z))))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z))))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (*.f64 (neg.f64 z) (*.f64 (neg.f64 z) z)) (neg.f64 z)) (+.f64 #s(literal 0 binary64) z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal -1 binary64) z))))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 z) z))))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal -1 binary64) z)) (/.f64 #s(literal -1 binary64) (*.f64 z z))))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 z z)) (/.f64 (*.f64 z z) (/.f64 #s(literal -1 binary64) z)))))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (log.f64 y) y))))
#s(approx (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y))
Outputs
(-.f64 (+.f64 #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (*.f64 #s(approx (+ (* (/ (- -1/2 y) x) (log y)) 1) #s(literal 1 binary64)) x)) y) z)
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y))
Calls

2 calls:

6.0ms
(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)
6.0ms
y
Results
AccuracySegmentsBranch
76.5%2y
70.1%2(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)
Compiler

Compiled 11 to 12 computations (-9.1% saved)

regimes43.0ms (0.6%)

Memory
-3.8MiB live, 34.2MiB allocated
Counts
17 → 1
Calls
Call 1
Inputs
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z))
(-.f64 (+.f64 #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (*.f64 #s(approx (+ (* (/ (- -1/2 y) x) (log y)) 1) #s(literal 1 binary64)) x)) y) z)
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 z) z) z))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (*.f64 z z) (/.f64 #s(literal -1 binary64) z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)))
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) x)) (/.f64 #s(literal 1 binary64) x))) y) z)
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) z) z))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) z)) (/.f64 #s(literal -1 binary64) z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z))))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z))))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (*.f64 (neg.f64 z) (*.f64 (neg.f64 z) z)) (neg.f64 z)) (+.f64 #s(literal 0 binary64) z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal -1 binary64) z))))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 z) z))))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (/.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal -1 binary64) z)) (/.f64 #s(literal -1 binary64) (*.f64 z z))))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 z z)) (/.f64 (*.f64 z z) (/.f64 #s(literal -1 binary64) z)))))
Outputs
(-.f64 (+.f64 #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (*.f64 #s(approx (+ (* (/ (- -1/2 y) x) (log y)) 1) #s(literal 1 binary64)) x)) y) z)
Calls

5 calls:

20.0ms
y
5.0ms
(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)
5.0ms
x
5.0ms
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)
5.0ms
z
Results
AccuracySegmentsBranch
57.3%1z
57.3%1(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)
57.3%1(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)
57.3%1x
57.3%1y
Compiler

Compiled 25 to 28 computations (-12% saved)

regimes27.0ms (0.4%)

Memory
-24.3MiB live, 13.9MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z))
Outputs
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z))
Calls

5 calls:

21.0ms
y
1.0ms
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)
1.0ms
(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)
1.0ms
x
1.0ms
z
Results
AccuracySegmentsBranch
34.1%1(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)
34.1%1y
34.1%1(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)
34.1%1z
34.1%1x
Compiler

Compiled 25 to 28 computations (-12% saved)

bsearch15.0ms (0.2%)

Memory
23.0MiB live, 23.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
13.0ms
1.1951100810627512e+42
5.0616391135077695e+44
Samples
8.0ms128×0valid
Compiler

Compiled 159 to 168 computations (-5.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-log: 2.0ms (38.9% of total)
ival-sub: 1.0ms (19.4% of total)
ival-add: 1.0ms (19.4% of total)
ival-mult: 1.0ms (19.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
2.2MiB live, 2.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
1.1951100810627512e+42
5.0616391135077695e+44
Compiler

Compiled 151 to 168 computations (-11.3% saved)

bsearch19.0ms (0.3%)

Memory
-12.9MiB live, 23.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
18.0ms
7.714034686544893e+158
1.3166386461454787e+162
Samples
12.0ms128×0valid
Compiler

Compiled 151 to 168 computations (-11.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-add: 5.0ms (54.1% of total)
ival-log: 2.0ms (21.6% of total)
ival-sub: 1.0ms (10.8% of total)
ival-mult: 1.0ms (10.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
348.4488850496849
349.53200185244316
0.0ms
-2.290794706044131e+34
-8.180911583802923e+33
0.0ms
-1.0687138069258206e+168
-9.65677420124943e+165
Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch13.0ms (0.2%)

Memory
18.8MiB live, 18.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
12.0ms
7.714034686544893e+158
1.3166386461454787e+162
Samples
8.0ms112×0valid
Compiler

Compiled 143 to 168 computations (-17.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-sub: 1.0ms (21.1% of total)
ival-log: 1.0ms (21.1% of total)
ival-add: 1.0ms (21.1% of total)
ival-mult: 1.0ms (21.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify43.0ms (0.6%)

Memory
-39.9MiB live, 48.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
082389
1111389
2136389
3148389
4153389
5154389
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z)))
(if (<=.f64 y #s(literal 2250000000000000062307227298002679176888320 binary64)) (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) (fma.f64 #s(approx (- -1/2 y) (neg.f64 y)) (log.f64 y) #s(approx (+ x (- y z)) (-.f64 y z))))
(if (<=.f64 y #s(literal 2250000000000000062307227298002679176888320 binary64)) (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) z))
(if (<=.f64 y #s(literal 81999999999999999598804870000796908246865296682917498646701082473776851320525997480973245935979023657602177336487250090640671628296070080286320595147108315561984 binary64)) (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y))))
(if (<=.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) #s(literal -999999999999999933860494834742974562371950216430331518611692822307700646699603647625692432595845947170914554599698521475539380813444812793279458505403728617494385000448 binary64)) #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) (if (<=.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) #s(literal -19999999999999998911504619740856320 binary64)) (-.f64 (+.f64 #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (*.f64 #s(approx (+ (* (/ (- -1/2 y) x) (log y)) 1) #s(literal 1 binary64)) x)) y) z) (if (<=.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) #s(literal 349 binary64)) (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))) z) (-.f64 (+.f64 #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (*.f64 #s(approx (+ (* (/ (- -1/2 y) x) (log y)) 1) #s(literal 1 binary64)) x)) y) z))))
(if (<=.f64 y #s(literal 820000000000000007694605763692939950149642578553548633024253859731410328927098573404876479933911312027169659852967392755757707988235536660793114748802153054208 binary64)) (-.f64 (+.f64 #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (*.f64 #s(approx (+ (* (/ (- -1/2 y) x) (log y)) 1) #s(literal 1 binary64)) x)) y) z) #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)))
(-.f64 (+.f64 #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (*.f64 #s(approx (+ (* (/ (- -1/2 y) x) (log y)) 1) #s(literal 1 binary64)) x)) y) z)
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z))
Outputs
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z)))
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 (-.f64 y z) x))
(if (<=.f64 y #s(literal 2250000000000000062307227298002679176888320 binary64)) (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) (fma.f64 #s(approx (- -1/2 y) (neg.f64 y)) (log.f64 y) #s(approx (+ x (- y z)) (-.f64 y z))))
(if (<=.f64 y #s(literal 2250000000000000062307227298002679176888320 binary64)) (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) z))
(if (<=.f64 y #s(literal 81999999999999999598804870000796908246865296682917498646701082473776851320525997480973245935979023657602177336487250090640671628296070080286320595147108315561984 binary64)) (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y))))
(if (<=.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) #s(literal -999999999999999933860494834742974562371950216430331518611692822307700646699603647625692432595845947170914554599698521475539380813444812793279458505403728617494385000448 binary64)) #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) (if (<=.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) #s(literal -19999999999999998911504619740856320 binary64)) (-.f64 (+.f64 #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (*.f64 #s(approx (+ (* (/ (- -1/2 y) x) (log y)) 1) #s(literal 1 binary64)) x)) y) z) (if (<=.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) #s(literal 349 binary64)) (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))) z) (-.f64 (+.f64 #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (*.f64 #s(approx (+ (* (/ (- -1/2 y) x) (log y)) 1) #s(literal 1 binary64)) x)) y) z))))
(if (<=.f64 (+.f64 (-.f64 x (*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y))) y) #s(literal -999999999999999933860494834742974562371950216430331518611692822307700646699603647625692432595845947170914554599698521475539380813444812793279458505403728617494385000448 binary64)) #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) (if (<=.f64 (+.f64 (-.f64 x (*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y))) y) #s(literal -19999999999999998911504619740856320 binary64)) (-.f64 (+.f64 #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (*.f64 #s(approx (+ (* (/ (- -1/2 y) x) (log y)) 1) #s(literal 1 binary64)) x)) y) z) (if (<=.f64 (+.f64 (-.f64 x (*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y))) y) #s(literal 349 binary64)) (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (+ (* -1/2 (log y)) x) (*.f64 (log.f64 y) #s(literal -1/2 binary64)))) z) (-.f64 (+.f64 #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (*.f64 #s(approx (+ (* (/ (- -1/2 y) x) (log y)) 1) #s(literal 1 binary64)) x)) y) z))))
(if (<=.f64 y #s(literal 820000000000000007694605763692939950149642578553548633024253859731410328927098573404876479933911312027169659852967392755757707988235536660793114748802153054208 binary64)) (-.f64 (+.f64 #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (*.f64 #s(approx (+ (* (/ (- -1/2 y) x) (log y)) 1) #s(literal 1 binary64)) x)) y) z) #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)))
(-.f64 (+.f64 #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (*.f64 #s(approx (+ (* (/ (- -1/2 y) x) (log y)) 1) #s(literal 1 binary64)) x)) y) z)
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z))

soundness1.1s (14.3%)

Memory
62.9MiB live, 865.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01271334
14151196
213191105
347041074
08534991
01036
01636
17936
269936
0884333
02504981
18054531
225274366
082184057
04496668
114066174
244765874
084115518
04196145
113275669
243835511
082155147
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 455 to 279 computations (38.7% saved)

preprocess68.0ms (0.9%)

Memory
0.8MiB live, 122.1MiB allocated
Compiler

Compiled 406 to 160 computations (60.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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