Numeric.SpecFunctions:stirlingError from math-functions-0.1.5.2

Time bar (total: 9.1s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze1.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
100%49.9%0%0.1%0%49.9%0%3
Compiler

Compiled 14 to 12 computations (14.3% saved)

sample1.3s (14.5%)

Memory
24.3MiB live, 1 436.0MiB allocated
Samples
840.0ms8 253×0valid
0.0ms1valid
0.0ms2valid
Precisions
Click to see histograms. Total time spent on operations: 446.0ms
ival-log: 209.0ms (46.9% of total)
ival-add: 93.0ms (20.9% of total)
ival-sub: 73.0ms (16.4% of total)
ival-mult: 56.0ms (12.6% of total)
ival-true: 6.0ms (1.3% of total)
exact: 6.0ms (1.3% of total)
ival-assert: 3.0ms (0.7% of total)
adjust: 0.0ms (0% of total)
Bogosity

explain306.0ms (3.4%)

Memory
6.8MiB live, 208.4MiB 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
43.0ms512×0valid
Compiler

Compiled 106 to 34 computations (67.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-log: 7.0ms (33.7% of total)
ival-add: 5.0ms (24.1% of total)
ival-sub: 4.0ms (19.2% of total)
ival-mult: 3.0ms (14.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess194.0ms (2.1%)

Memory
-1.0MiB live, 106.7MiB 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
1.2MiB live, 1.2MiB 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)

simplify151.0ms (1.6%)

Memory
-49.0MiB live, 71.4MiB 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

localize25.0ms (0.3%)

Memory
17.1MiB live, 17.1MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(+.f64 y #s(literal 1/2 binary64))
accuracy0
(log.f64 y)
accuracy0.1015625
(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)
accuracy0.13671875
(*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))
Samples
19.0ms256×0valid
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 (29.8% of total)
ival-add: 3.0ms (29.8% of total)
ival-sub: 2.0ms (19.8% of total)
ival-mult: 2.0ms (19.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series95.0ms (1%)

Memory
-3.1MiB live, 102.0MiB allocated
Counts
6 → 120
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>) () ())
#s(alt (log.f64 y) (patch (log.f64 y) #<representation binary64>) () ())
#s(alt (+.f64 y #s(literal 1/2 binary64)) (patch (+.f64 y #s(literal 1/2 binary64)) #<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 (log y) (taylor 0 y) (#s(alt (log.f64 y) (patch (log.f64 y) #<representation binary64>) () ())) ())
#s(alt (log y) (taylor 0 y) (#s(alt (log.f64 y) (patch (log.f64 y) #<representation binary64>) () ())) ())
#s(alt (log y) (taylor 0 y) (#s(alt (log.f64 y) (patch (log.f64 y) #<representation binary64>) () ())) ())
#s(alt (log y) (taylor 0 y) (#s(alt (log.f64 y) (patch (log.f64 y) #<representation binary64>) () ())) ())
#s(alt 1/2 (taylor 0 y) (#s(alt (+.f64 y #s(literal 1/2 binary64)) (patch (+.f64 y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 y) (taylor 0 y) (#s(alt (+.f64 y #s(literal 1/2 binary64)) (patch (+.f64 y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 y) (taylor 0 y) (#s(alt (+.f64 y #s(literal 1/2 binary64)) (patch (+.f64 y #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 y) (taylor 0 y) (#s(alt (+.f64 y #s(literal 1/2 binary64)) (patch (+.f64 y #s(literal 1/2 binary64)) #<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>) () ())) ())
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#s(alt (* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) (taylor -inf x) (#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 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) (taylor -inf x) (#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 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) (taylor -inf x) (#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 (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>) () ())) ())
#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>) () ())) ())
#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>) () ())) ())
#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>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
41.0ms
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)) (log y) (+ y 1/2))
27.0ms
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)) (log y) (+ y 1/2))
7.0ms
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)) (log y) (+ y 1/2))
6.0ms
x
@-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)) (log y) (+ y 1/2))
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)) (log y) (+ y 1/2))

simplify165.0ms (1.8%)

Memory
21.5MiB live, 297.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01301412
14271270
213481167
347741136
086191053
Stop Event
iter limit
node limit
Counts
120 → 112
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)))
(log y)
(log y)
(log y)
(log y)
1/2
(+ 1/2 y)
(+ 1/2 y)
(+ 1/2 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 (log (/ 1 y)))
(* -1 (log (/ 1 y)))
(* -1 (log (/ 1 y)))
(* -1 (log (/ 1 y)))
y
(* y (+ 1 (* 1/2 (/ 1 y))))
(* y (+ 1 (* 1/2 (/ 1 y))))
(* y (+ 1 (* 1/2 (/ 1 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)))))
(+ (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
(* y (+ 1 (* 1/2 (/ 1 y))))
(* y (+ 1 (* 1/2 (/ 1 y))))
(* y (+ 1 (* 1/2 (/ 1 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))
(log y)
(log.f64 y)
(log y)
(log.f64 y)
(log y)
(log.f64 y)
(log y)
(log.f64 y)
1/2
#s(literal 1/2 binary64)
(+ 1/2 y)
(+.f64 #s(literal 1/2 binary64) y)
(+ 1/2 y)
(+.f64 #s(literal 1/2 binary64) y)
(+ 1/2 y)
(+.f64 #s(literal 1/2 binary64) 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 (log (/ 1 y)))
(log.f64 y)
(* -1 (log (/ 1 y)))
(log.f64 y)
(* -1 (log (/ 1 y)))
(log.f64 y)
(* -1 (log (/ 1 y)))
(log.f64 y)
y
(* y (+ 1 (* 1/2 (/ 1 y))))
(+.f64 #s(literal 1/2 binary64) y)
(* y (+ 1 (* 1/2 (/ 1 y))))
(+.f64 #s(literal 1/2 binary64) y)
(* y (+ 1 (* 1/2 (/ 1 y))))
(+.f64 #s(literal 1/2 binary64) 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 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) (-.f64 #s(literal -1/2 binary64) y))
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)))))
(*.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) (-.f64 #s(literal -1/2 binary64) y))
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)))))
(*.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (log.f64 #s(literal -1 binary64))) (-.f64 #s(literal -1/2 binary64) y))
(+ (log -1) (* -1 (log (/ -1 y))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y)))
(+ (log -1) (* -1 (log (/ -1 y))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y)))
(+ (log -1) (* -1 (log (/ -1 y))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y)))
(+ (log -1) (* -1 (log (/ -1 y))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y)))
y
(* y (+ 1 (* 1/2 (/ 1 y))))
(+.f64 #s(literal 1/2 binary64) y)
(* y (+ 1 (* 1/2 (/ 1 y))))
(+.f64 #s(literal 1/2 binary64) y)
(* y (+ 1 (* 1/2 (/ 1 y))))
(+.f64 #s(literal 1/2 binary64) 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)
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(* 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))

rewrite448.0ms (4.9%)

Memory
-24.8MiB live, 337.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01041
01641
17941
269941
0884338
Stop Event
iter limit
node limit
iter limit
Counts
6 → 394
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))
(log.f64 y)
(+.f64 y #s(literal 1/2 binary64))
Outputs
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eval64.0ms (0.7%)

Memory
18.7MiB live, 103.1MiB allocated
Compiler

Compiled 14 627 to 1 685 computations (88.5% saved)

prune52.0ms (0.6%)

Memory
9.8MiB live, 47.9MiB allocated
Pruning

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New49016506
Fresh000
Picked101
Done000
Total49116507
Accuracy
100.0%
Counts
507 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.6%
(fma.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x y)) (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 x y)) (pow.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 x y)) #s(literal -1 binary64))) (neg.f64 z))
98.5%
(fma.f64 (fma.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y) x) (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x) (pow.f64 (fma.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y) x) #s(literal -1 binary64))) (-.f64 y z))
74.3%
(fma.f64 (fma.f64 y y #s(literal -1/4 binary64)) (*.f64 (pow.f64 (-.f64 y #s(literal 1/2 binary64)) #s(literal -1 binary64)) (neg.f64 (log.f64 y))) (+.f64 x (-.f64 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)
74.0%
(-.f64 (+.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64)))) y) z)
99.8%
(-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)))) y) z)
74.4%
(-.f64 (+.f64 (-.f64 x (*.f64 (/.f64 (fma.f64 y y #s(literal -1/4 binary64)) (-.f64 y #s(literal 1/2 binary64))) (log.f64 y))) y) z)
74.3%
(-.f64 (+.f64 (-.f64 x (*.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) y))) (log.f64 y))) y) z)
72.9%
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y)) z)
72.9%
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z)
59.2%
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) z)
67.8%
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)))
72.8%
#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)))
81.6%
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) 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))
29.1%
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y))
32.7%
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z))
Compiler

Compiled 478 to 366 computations (23.4% saved)

simplify404.0ms (4.4%)

Memory
4.0MiB live, 121.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 (-.f64 y #s(literal 1/2 binary64)) #s(literal -1 binary64))
cost-diff0
(fma.f64 y y #s(literal -1/4 binary64))
cost-diff0
(fma.f64 (fma.f64 y y #s(literal -1/4 binary64)) (*.f64 (pow.f64 (-.f64 y #s(literal 1/2 binary64)) #s(literal -1 binary64)) (neg.f64 (log.f64 y))) (+.f64 x (-.f64 y z)))
cost-diff6208
(*.f64 (pow.f64 (-.f64 y #s(literal 1/2 binary64)) #s(literal -1 binary64)) (neg.f64 (log.f64 y)))
cost-diff0
(/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64)))
cost-diff0
(+.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64)))) y)
cost-diff0
(-.f64 (+.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64)))) y) z)
cost-diff128
(-.f64 x (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64))))
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
(neg.f64 z)
cost-diff0
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 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
038259
064257
1127249
2329244
31127241
43106241
55269241
66672241
77125241
87188241
97198241
107200241
117252241
127260241
137260241
147422241
157438241
167438241
177438241
07438237
Stop Event
iter limit
saturated
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) (neg.f64 z))
(neg.f64 z)
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 x (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64)))) y) z)
(+.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64)))) y)
(-.f64 x (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64))))
x
(/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64)))
(*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y))
(fma.f64 y y #s(literal -1/4 binary64))
y
#s(literal -1/4 binary64)
(log.f64 y)
(-.f64 y #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
z
(fma.f64 (fma.f64 y y #s(literal -1/4 binary64)) (*.f64 (pow.f64 (-.f64 y #s(literal 1/2 binary64)) #s(literal -1 binary64)) (neg.f64 (log.f64 y))) (+.f64 x (-.f64 y z)))
(fma.f64 y y #s(literal -1/4 binary64))
y
#s(literal -1/4 binary64)
(*.f64 (pow.f64 (-.f64 y #s(literal 1/2 binary64)) #s(literal -1 binary64)) (neg.f64 (log.f64 y)))
(pow.f64 (-.f64 y #s(literal 1/2 binary64)) #s(literal -1 binary64))
(-.f64 y #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(literal -1 binary64)
(neg.f64 (log.f64 y))
(log.f64 y)
(+.f64 x (-.f64 y z))
x
(-.f64 y z)
z
Outputs
(-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)))) y) z)
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 (-.f64 y 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) (neg.f64 z))
(neg.f64 z)
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 x (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64)))) y) z)
(fma.f64 (/.f64 (fma.f64 y y #s(literal -1/4 binary64)) (-.f64 #s(literal 1/2 binary64) y)) (log.f64 y) (+.f64 (-.f64 y z) x))
(+.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64)))) y)
(fma.f64 (/.f64 (fma.f64 y y #s(literal -1/4 binary64)) (-.f64 #s(literal 1/2 binary64) y)) (log.f64 y) (+.f64 y x))
(-.f64 x (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64))))
(fma.f64 (/.f64 (fma.f64 y y #s(literal -1/4 binary64)) (-.f64 #s(literal 1/2 binary64) y)) (log.f64 y) x)
x
(/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64)))
(*.f64 (/.f64 (fma.f64 y y #s(literal -1/4 binary64)) (-.f64 y #s(literal 1/2 binary64))) (log.f64 y))
(*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y))
(fma.f64 y y #s(literal -1/4 binary64))
y
#s(literal -1/4 binary64)
(log.f64 y)
(-.f64 y #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
z
(fma.f64 (fma.f64 y y #s(literal -1/4 binary64)) (*.f64 (pow.f64 (-.f64 y #s(literal 1/2 binary64)) #s(literal -1 binary64)) (neg.f64 (log.f64 y))) (+.f64 x (-.f64 y z)))
(fma.f64 (/.f64 (fma.f64 y y #s(literal -1/4 binary64)) (-.f64 #s(literal 1/2 binary64) y)) (log.f64 y) (+.f64 (-.f64 y z) x))
(fma.f64 y y #s(literal -1/4 binary64))
y
#s(literal -1/4 binary64)
(*.f64 (pow.f64 (-.f64 y #s(literal 1/2 binary64)) #s(literal -1 binary64)) (neg.f64 (log.f64 y)))
(/.f64 (log.f64 y) (-.f64 #s(literal 1/2 binary64) y))
(pow.f64 (-.f64 y #s(literal 1/2 binary64)) #s(literal -1 binary64))
(-.f64 y #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(literal -1 binary64)
(neg.f64 (log.f64 y))
(log.f64 y)
(+.f64 x (-.f64 y z))
(+.f64 (-.f64 y z) x)
x
(-.f64 y z)
z

localize154.0ms (1.7%)

Memory
4.8MiB live, 163.2MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0
(neg.f64 (log.f64 y))
accuracy0
(log.f64 y)
accuracy0.21484375
(*.f64 (pow.f64 (-.f64 y #s(literal 1/2 binary64)) #s(literal -1 binary64)) (neg.f64 (log.f64 y)))
accuracy16.40345365403003
(fma.f64 (fma.f64 y y #s(literal -1/4 binary64)) (*.f64 (pow.f64 (-.f64 y #s(literal 1/2 binary64)) #s(literal -1 binary64)) (neg.f64 (log.f64 y))) (+.f64 x (-.f64 y z)))
accuracy0
(log.f64 y)
accuracy0.078125
(*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y))
accuracy0.1015625
(+.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64)))) y)
accuracy16.627264404977673
(/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64)))
accuracy0
(log.f64 y)
accuracy0.07421875
(-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z))
accuracy0.09765625
(fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)
accuracy17.26876027235489
#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
(neg.f64 z)
accuracy43.08618678797592
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z))
accuracy0
(log.f64 y)
accuracy0.01171875
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y))
accuracy0.1015625
(+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)))) y)
accuracy0.189785009768442
(/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)))
Samples
130.0ms256×0valid
Compiler

Compiled 259 to 40 computations (84.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 56.0ms
ival-sub: 22.0ms (39.1% of total)
ival-add: 10.0ms (17.8% of total)
ival-mult: 9.0ms (16% of total)
ival-div: 5.0ms (8.9% of total)
ival-log: 4.0ms (7.1% of total)
ival-pow: 4.0ms (7.1% 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)

series94.0ms (1%)

Memory
-10.9MiB live, 148.5MiB allocated
Counts
22 → 456
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 #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 #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 x (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64)))) (patch (-.f64 x (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64)))) #<representation binary64>) () ())
#s(alt (-.f64 (+.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64)))) y) z) (patch (-.f64 (+.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64)))) y) z) #<representation binary64>) () ())
#s(alt (+.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64)))) y) (patch (+.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64)))) y) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64))) (patch (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (pow.f64 (-.f64 y #s(literal 1/2 binary64)) #s(literal -1 binary64)) (neg.f64 (log.f64 y))) (patch (*.f64 (pow.f64 (-.f64 y #s(literal 1/2 binary64)) #s(literal -1 binary64)) (neg.f64 (log.f64 y))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 y y #s(literal -1/4 binary64)) (*.f64 (pow.f64 (-.f64 y #s(literal 1/2 binary64)) #s(literal -1 binary64)) (neg.f64 (log.f64 y))) (+.f64 x (-.f64 y z))) (patch (fma.f64 (fma.f64 y y #s(literal -1/4 binary64)) (*.f64 (pow.f64 (-.f64 y #s(literal 1/2 binary64)) #s(literal -1 binary64)) (neg.f64 (log.f64 y))) (+.f64 x (-.f64 y z))) #<representation binary64>) () ())
#s(alt (fma.f64 y y #s(literal -1/4 binary64)) (patch (fma.f64 y y #s(literal -1/4 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 (-.f64 y #s(literal 1/2 binary64)) #s(literal -1 binary64)) (patch (pow.f64 (-.f64 y #s(literal 1/2 binary64)) #s(literal -1 binary64)) #<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 (log.f64 y) (patch (log.f64 y) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (patch (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) #<representation binary64>) () ())
#s(alt (neg.f64 (log.f64 y)) (patch (neg.f64 (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 (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>) () ())) ())
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#s(alt (* -1 (* x (- (/ (* (log y) (- (pow y 2) 1/4)) (* x (- y 1/2))) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64)))) (patch (-.f64 x (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 (+.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64)))) y) z) (patch (-.f64 (+.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64)))) y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- y (+ z (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2)))) x)) 1))) (taylor -inf x) (#s(alt (-.f64 (+.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64)))) y) z) (patch (-.f64 (+.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64)))) y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- y (+ z (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2)))) x)) 1))) (taylor -inf x) (#s(alt (-.f64 (+.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64)))) y) z) (patch (-.f64 (+.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64)))) y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- y (+ z (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2)))) x)) 1))) (taylor -inf x) (#s(alt (-.f64 (+.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64)))) y) z) (patch (-.f64 (+.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64)))) y) z) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64)))) y) (patch (+.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64)))) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- y (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2))) x)) 1))) (taylor -inf x) (#s(alt (+.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64)))) y) (patch (+.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64)))) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- y (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2))) x)) 1))) (taylor -inf x) (#s(alt (+.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64)))) y) (patch (+.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64)))) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- y (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2))) x)) 1))) (taylor -inf x) (#s(alt (+.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64)))) y) (patch (+.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64)))) y) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (fma.f64 (fma.f64 y y #s(literal -1/4 binary64)) (*.f64 (pow.f64 (-.f64 y #s(literal 1/2 binary64)) #s(literal -1 binary64)) (neg.f64 (log.f64 y))) (+.f64 x (-.f64 y z))) (patch (fma.f64 (fma.f64 y y #s(literal -1/4 binary64)) (*.f64 (pow.f64 (-.f64 y #s(literal 1/2 binary64)) #s(literal -1 binary64)) (neg.f64 (log.f64 y))) (+.f64 x (-.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (+ y (* -1 (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2)))) z) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 y y #s(literal -1/4 binary64)) (*.f64 (pow.f64 (-.f64 y #s(literal 1/2 binary64)) #s(literal -1 binary64)) (neg.f64 (log.f64 y))) (+.f64 x (-.f64 y z))) (patch (fma.f64 (fma.f64 y y #s(literal -1/4 binary64)) (*.f64 (pow.f64 (-.f64 y #s(literal 1/2 binary64)) #s(literal -1 binary64)) (neg.f64 (log.f64 y))) (+.f64 x (-.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (+ y (* -1 (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2)))) z) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 y y #s(literal -1/4 binary64)) (*.f64 (pow.f64 (-.f64 y #s(literal 1/2 binary64)) #s(literal -1 binary64)) (neg.f64 (log.f64 y))) (+.f64 x (-.f64 y z))) (patch (fma.f64 (fma.f64 y y #s(literal -1/4 binary64)) (*.f64 (pow.f64 (-.f64 y #s(literal 1/2 binary64)) #s(literal -1 binary64)) (neg.f64 (log.f64 y))) (+.f64 x (-.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (+ y (* -1 (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2)))) z) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 y y #s(literal -1/4 binary64)) (*.f64 (pow.f64 (-.f64 y #s(literal 1/2 binary64)) #s(literal -1 binary64)) (neg.f64 (log.f64 y))) (+.f64 x (-.f64 y z))) (patch (fma.f64 (fma.f64 y y #s(literal -1/4 binary64)) (*.f64 (pow.f64 (-.f64 y #s(literal 1/2 binary64)) #s(literal -1 binary64)) (neg.f64 (log.f64 y))) (+.f64 x (-.f64 y z))) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
38.0ms
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) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg z) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (- y (+ (* (+ 1/2 y) (log y)) z)) (+ (* (+ 1/2 y) (log y)) z) (+ 1/2 y) (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) (- (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) y) z) (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) y) (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2)) (* (pow (- y 1/2) -1) (neg (log y))) (+ (* (+ (* y y) -1/4) (* (pow (- y 1/2) -1) (neg (log y)))) (+ x (- y z))) (+ (* y y) -1/4) (pow (- y 1/2) -1) (/ 1 (+ 1/2 y)) (log y) (* (+ (* y y) -1/4) (log y)) (neg (log y)))
12.0ms
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) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg z) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (- y (+ (* (+ 1/2 y) (log y)) z)) (+ (* (+ 1/2 y) (log y)) z) (+ 1/2 y) (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) (- (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) y) z) (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) y) (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2)) (* (pow (- y 1/2) -1) (neg (log y))) (+ (* (+ (* y y) -1/4) (* (pow (- y 1/2) -1) (neg (log y)))) (+ x (- y z))) (+ (* y y) -1/4) (pow (- y 1/2) -1) (/ 1 (+ 1/2 y)) (log y) (* (+ (* y y) -1/4) (log y)) (neg (log y)))
8.0ms
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) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg z) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (- y (+ (* (+ 1/2 y) (log y)) z)) (+ (* (+ 1/2 y) (log y)) z) (+ 1/2 y) (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) (- (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) y) z) (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) y) (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2)) (* (pow (- y 1/2) -1) (neg (log y))) (+ (* (+ (* y y) -1/4) (* (pow (- y 1/2) -1) (neg (log y)))) (+ x (- y z))) (+ (* y y) -1/4) (pow (- y 1/2) -1) (/ 1 (+ 1/2 y)) (log y) (* (+ (* y y) -1/4) (log y)) (neg (log y)))
6.0ms
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) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg z) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (- y (+ (* (+ 1/2 y) (log y)) z)) (+ (* (+ 1/2 y) (log y)) z) (+ 1/2 y) (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) (- (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) y) z) (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) y) (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2)) (* (pow (- y 1/2) -1) (neg (log y))) (+ (* (+ (* y y) -1/4) (* (pow (- y 1/2) -1) (neg (log y)))) (+ x (- y z))) (+ (* y y) -1/4) (pow (- y 1/2) -1) (/ 1 (+ 1/2 y)) (log y) (* (+ (* y y) -1/4) (log y)) (neg (log 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) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg z) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (- y (+ (* (+ 1/2 y) (log y)) z)) (+ (* (+ 1/2 y) (log y)) z) (+ 1/2 y) (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) (- (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) y) z) (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) y) (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2)) (* (pow (- y 1/2) -1) (neg (log y))) (+ (* (+ (* y y) -1/4) (* (pow (- y 1/2) -1) (neg (log y)))) (+ x (- y z))) (+ (* y y) -1/4) (pow (- y 1/2) -1) (/ 1 (+ 1/2 y)) (log y) (* (+ (* y y) -1/4) (log y)) (neg (log y)))

simplify300.0ms (3.3%)

Memory
-17.1MiB live, 254.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04276372
113585838
240735688
084075341
Stop Event
iter limit
node limit
Counts
456 → 434
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)))
(- (+ 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)))
(- 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) (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2)))
(- (+ x (+ y (* -1 z))) (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2)))
(- (+ x (+ y (* -1 z))) (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2)))
(- (+ x (+ y (* -1 z))) (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2)))
(+ x (+ y (* -1 (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2)))))
(+ x (+ y (+ (* -1 z) (* -1 (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2))))))
(+ x (+ y (+ (* -1 z) (* -1 (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2))))))
(+ x (+ y (+ (* -1 z) (* -1 (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2))))))
(* -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 (- (+ (/ 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 (- (/ 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 (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (- (pow y 2) 1/4)) (* z (- y 1/2))))))
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (- (pow y 2) 1/4)) (* z (- y 1/2))))))
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (- (pow y 2) 1/4)) (* z (- y 1/2))))))
(* -1 z)
(* z (- (+ (* -1 (/ (* (log y) (- (pow y 2) 1/4)) (* z (- y 1/2)))) (+ (/ x z) (/ y z))) 1))
(* z (- (+ (* -1 (/ (* (log y) (- (pow y 2) 1/4)) (* z (- y 1/2)))) (+ (/ x z) (/ y z))) 1))
(* z (- (+ (* -1 (/ (* (log y) (- (pow y 2) 1/4)) (* z (- y 1/2)))) (+ (/ x z) (/ y z))) 1))
(* -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 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 (/ (- 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) (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2))) z)))))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ (+ x (+ y (* -1 (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2))))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ x (+ y (* -1 (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2))))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ x (+ y (* -1 (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2))))) z)))))
(* 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)))
(- 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)))
(- 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))))
(* -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 (+ z (* 1/2 (log y))))
(- (+ x (* y (+ 1 (* -1 (log y))))) (+ z (* 1/2 (log y))))
(- (+ x (* y (+ 1 (* -1 (log y))))) (+ z (* 1/2 (log y))))
(- (+ x (* y (+ 1 (* -1 (log y))))) (+ z (* 1/2 (log y))))
(- x (* 1/2 (log y)))
(- (+ x (* y (+ 1 (* -1 (log y))))) (* 1/2 (log y)))
(- (+ x (* y (+ 1 (* -1 (log y))))) (* 1/2 (log y)))
(- (+ x (* y (+ 1 (* -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)))
(* 2 (log y))
(+ (* 2 (log y)) (* 4 (* y (log y))))
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(* -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 (+ 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 (- (/ (* (log y) (- (pow y 2) 1/4)) (* x (- y 1/2))) 1)))
(* -1 (* x (- (/ (* (log y) (- (pow y 2) 1/4)) (* x (- y 1/2))) 1)))
(* -1 (* x (- (/ (* (log y) (- (pow y 2) 1/4)) (* x (- y 1/2))) 1)))
x
(* -1 (* x (- (* -1 (/ (- y (+ z (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2)))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- y (+ z (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2)))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- y (+ z (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2)))) x)) 1)))
x
(* -1 (* x (- (* -1 (/ (- y (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- y (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- y (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2))) x)) 1)))
x
(* -1 (* x (- (* -1 (/ (- (+ y (* -1 (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2)))) z) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (+ y (* -1 (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2)))) z) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (+ y (* -1 (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2)))) z) x)) 1)))
Outputs
(- (+ x y) (* (log y) (+ 1/2 y)))
(fma.f64 (fma.f64 #s(literal -1 binary64) y #s(literal -1/2 binary64)) (log.f64 y) (+.f64 y x))
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y)))
(-.f64 (+.f64 y x) (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z))
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y)))
(-.f64 (+.f64 y x) (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z))
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y)))
(-.f64 (+.f64 y x) (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z))
(- (+ x y) (* (log y) (+ 1/2 y)))
(fma.f64 (fma.f64 #s(literal -1 binary64) y #s(literal -1/2 binary64)) (log.f64 y) (+.f64 y x))
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y)))
(-.f64 (+.f64 y x) (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z))
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y)))
(-.f64 (+.f64 y x) (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z))
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y)))
(-.f64 (+.f64 y x) (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z))
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(- (+ x y) (* (log y) (+ 1/2 y)))
(fma.f64 (fma.f64 #s(literal -1 binary64) y #s(literal -1/2 binary64)) (log.f64 y) (+.f64 y x))
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y)))
(-.f64 (+.f64 y x) (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z))
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y)))
(-.f64 (+.f64 y x) (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z))
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y)))
(-.f64 (+.f64 y x) (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z))
(- y (* (log y) (+ 1/2 y)))
(fma.f64 (fma.f64 #s(literal -1 binary64) y #s(literal -1/2 binary64)) (log.f64 y) y)
(- (+ y (* -1 z)) (* (log y) (+ 1/2 y)))
(-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z))
(- (+ y (* -1 z)) (* (log y) (+ 1/2 y)))
(-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z))
(- (+ y (* -1 z)) (* (log y) (+ 1/2 y)))
(-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z))
(* (log y) (+ 1/2 y))
(*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y))
(+ z (* (log y) (+ 1/2 y)))
(fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)
(+ z (* (log y) (+ 1/2 y)))
(fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)
(+ z (* (log y) (+ 1/2 y)))
(fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)
(- (+ x y) (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2)))
(-.f64 (+.f64 y x) (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64))))
(- (+ x (+ y (* -1 z))) (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2)))
(-.f64 (+.f64 y x) (fma.f64 (/.f64 (fma.f64 y y #s(literal -1/4 binary64)) (-.f64 y #s(literal 1/2 binary64))) (log.f64 y) z))
(- (+ x (+ y (* -1 z))) (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2)))
(-.f64 (+.f64 y x) (fma.f64 (/.f64 (fma.f64 y y #s(literal -1/4 binary64)) (-.f64 y #s(literal 1/2 binary64))) (log.f64 y) z))
(- (+ x (+ y (* -1 z))) (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2)))
(-.f64 (+.f64 y x) (fma.f64 (/.f64 (fma.f64 y y #s(literal -1/4 binary64)) (-.f64 y #s(literal 1/2 binary64))) (log.f64 y) z))
(+ x (+ y (* -1 (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2)))))
(-.f64 (+.f64 y x) (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64))))
(+ x (+ y (+ (* -1 z) (* -1 (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2))))))
(-.f64 (+.f64 y x) (fma.f64 (/.f64 (fma.f64 y y #s(literal -1/4 binary64)) (-.f64 y #s(literal 1/2 binary64))) (log.f64 y) z))
(+ x (+ y (+ (* -1 z) (* -1 (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2))))))
(-.f64 (+.f64 y x) (fma.f64 (/.f64 (fma.f64 y y #s(literal -1/4 binary64)) (-.f64 y #s(literal 1/2 binary64))) (log.f64 y) z))
(+ x (+ y (+ (* -1 z) (* -1 (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2))))))
(-.f64 (+.f64 y x) (fma.f64 (/.f64 (fma.f64 y y #s(literal -1/4 binary64)) (-.f64 y #s(literal 1/2 binary64))) (log.f64 y) z))
(* -1 z)
(neg.f64 z)
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))
(*.f64 (+.f64 (-.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) y #s(literal -1/2 binary64)) (log.f64 y) y) z) #s(literal 1 binary64)) (/.f64 x z)) z)
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))
(*.f64 (+.f64 (-.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) y #s(literal -1/2 binary64)) (log.f64 y) y) z) #s(literal 1 binary64)) (/.f64 x z)) z)
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))
(*.f64 (+.f64 (-.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) y #s(literal -1/2 binary64)) (log.f64 y) y) z) #s(literal 1 binary64)) (/.f64 x z)) z)
(* -1 z)
(neg.f64 z)
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))
(*.f64 (+.f64 (-.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) y #s(literal -1/2 binary64)) (log.f64 y) y) z) #s(literal 1 binary64)) (/.f64 x z)) z)
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))
(*.f64 (+.f64 (-.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) y #s(literal -1/2 binary64)) (log.f64 y) y) z) #s(literal 1 binary64)) (/.f64 x z)) z)
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))
(*.f64 (+.f64 (-.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) y #s(literal -1/2 binary64)) (log.f64 y) y) z) #s(literal 1 binary64)) (/.f64 x z)) z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))
(*.f64 (+.f64 (-.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) y #s(literal -1/2 binary64)) (log.f64 y) y) z) #s(literal 1 binary64)) (/.f64 x z)) z)
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))
(*.f64 (+.f64 (-.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) y #s(literal -1/2 binary64)) (log.f64 y) y) z) #s(literal 1 binary64)) (/.f64 x z)) z)
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))
(*.f64 (+.f64 (-.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) y #s(literal -1/2 binary64)) (log.f64 y) y) z) #s(literal 1 binary64)) (/.f64 x z)) z)
(* -1 z)
(neg.f64 z)
(* z (- (/ y z) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))
(*.f64 (-.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) y #s(literal -1/2 binary64)) (log.f64 y) y) z) #s(literal 1 binary64)) z)
(* z (- (/ y z) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))
(*.f64 (-.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) y #s(literal -1/2 binary64)) (log.f64 y) y) z) #s(literal 1 binary64)) z)
(* z (- (/ y z) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))
(*.f64 (-.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) y #s(literal -1/2 binary64)) (log.f64 y) y) z) #s(literal 1 binary64)) z)
z
(* z (+ 1 (/ (* (log y) (+ 1/2 y)) z)))
(fma.f64 (*.f64 z (log.f64 y)) (/.f64 (+.f64 #s(literal 1/2 binary64) y) z) z)
(* z (+ 1 (/ (* (log y) (+ 1/2 y)) z)))
(fma.f64 (*.f64 z (log.f64 y)) (/.f64 (+.f64 #s(literal 1/2 binary64) y) z) z)
(* z (+ 1 (/ (* (log y) (+ 1/2 y)) z)))
(fma.f64 (*.f64 z (log.f64 y)) (/.f64 (+.f64 #s(literal 1/2 binary64) y) z) z)
(* -1 z)
(neg.f64 z)
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (- (pow y 2) 1/4)) (* z (- y 1/2))))))
(*.f64 (-.f64 (+.f64 (/.f64 y z) (/.f64 x z)) (fma.f64 (/.f64 (fma.f64 y y #s(literal -1/4 binary64)) z) (/.f64 (log.f64 y) (-.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (- (pow y 2) 1/4)) (* z (- y 1/2))))))
(*.f64 (-.f64 (+.f64 (/.f64 y z) (/.f64 x z)) (fma.f64 (/.f64 (fma.f64 y y #s(literal -1/4 binary64)) z) (/.f64 (log.f64 y) (-.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (- (pow y 2) 1/4)) (* z (- y 1/2))))))
(*.f64 (-.f64 (+.f64 (/.f64 y z) (/.f64 x z)) (fma.f64 (/.f64 (fma.f64 y y #s(literal -1/4 binary64)) z) (/.f64 (log.f64 y) (-.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)
(* -1 z)
(neg.f64 z)
(* z (- (+ (* -1 (/ (* (log y) (- (pow y 2) 1/4)) (* z (- y 1/2)))) (+ (/ x z) (/ y z))) 1))
(*.f64 (-.f64 (+.f64 (/.f64 y z) (/.f64 x z)) (fma.f64 (/.f64 (fma.f64 y y #s(literal -1/4 binary64)) z) (/.f64 (log.f64 y) (-.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)
(* z (- (+ (* -1 (/ (* (log y) (- (pow y 2) 1/4)) (* z (- y 1/2)))) (+ (/ x z) (/ y z))) 1))
(*.f64 (-.f64 (+.f64 (/.f64 y z) (/.f64 x z)) (fma.f64 (/.f64 (fma.f64 y y #s(literal -1/4 binary64)) z) (/.f64 (log.f64 y) (-.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)
(* z (- (+ (* -1 (/ (* (log y) (- (pow y 2) 1/4)) (* z (- y 1/2)))) (+ (/ x z) (/ y z))) 1))
(*.f64 (-.f64 (+.f64 (/.f64 y z) (/.f64 x z)) (fma.f64 (/.f64 (fma.f64 y y #s(literal -1/4 binary64)) z) (/.f64 (log.f64 y) (-.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64))) z)
(* -1 z)
(neg.f64 z)
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z)))))
(fma.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) y #s(literal -1/2 binary64)) (log.f64 y) (+.f64 y x)) z) z (neg.f64 z))
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z)))))
(fma.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) y #s(literal -1/2 binary64)) (log.f64 y) (+.f64 y x)) z) z (neg.f64 z))
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z)))))
(fma.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) y #s(literal -1/2 binary64)) (log.f64 y) (+.f64 y x)) z) z (neg.f64 z))
(* -1 z)
(neg.f64 z)
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z)))))
(fma.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) y #s(literal -1/2 binary64)) (log.f64 y) (+.f64 y x)) z) z (neg.f64 z))
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z)))))
(fma.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) y #s(literal -1/2 binary64)) (log.f64 y) (+.f64 y x)) z) z (neg.f64 z))
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z)))))
(fma.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) y #s(literal -1/2 binary64)) (log.f64 y) (+.f64 y x)) z) z (neg.f64 z))
(* -1 z)
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(* -1 z)
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(* -1 z)
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(* -1 z)
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(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z)))))
(fma.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) y #s(literal -1/2 binary64)) (log.f64 y) (+.f64 y x)) z) z (neg.f64 z))
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z)))))
(fma.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) y #s(literal -1/2 binary64)) (log.f64 y) (+.f64 y x)) z) z (neg.f64 z))
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(fma.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) y #s(literal -1/2 binary64)) (log.f64 y) (+.f64 y x)) z) z (neg.f64 z))
(* -1 z)
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(neg.f64 (fma.f64 (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) (neg.f64 y)) z) z z))
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z
(* -1 (* z (- (* -1 (/ (* (log y) (+ 1/2 y)) z)) 1)))
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(* -1 z)
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(fma.f64 (/.f64 (-.f64 (+.f64 y x) (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64)))) z) z (neg.f64 z))
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(fma.f64 (/.f64 (-.f64 (+.f64 y x) (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64)))) z) z (neg.f64 z))
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(fma.f64 (/.f64 (-.f64 (+.f64 y x) (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64)))) z) z (neg.f64 z))
(* -1 z)
(neg.f64 z)
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(fma.f64 (/.f64 (-.f64 (+.f64 y x) (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64)))) z) z (neg.f64 z))
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(* 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))
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(*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y))
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(*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y))
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(- (+ x (* -1 (* y (log y)))) (* 1/2 (log y)))
(fma.f64 (fma.f64 #s(literal -1 binary64) y #s(literal -1/2 binary64)) (log.f64 y) x)
(- x (+ z (* 1/2 (log y))))
(-.f64 x (fma.f64 #s(literal 1/2 binary64) (log.f64 y) z))
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y))))
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rewrite366.0ms (4%)

Memory
-0.5MiB live, 328.9MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
038212
064195
1346175
23643175
08659175
Stop Event
iter limit
node limit
iter limit
Counts
22 → 1 254
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))))
(-.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)
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z))
(neg.f64 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))
(fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)
(+.f64 #s(literal 1/2 binary64) y)
(-.f64 x (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64))))
(-.f64 (+.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64)))) y) z)
(+.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64)))) y)
(/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (-.f64 y #s(literal 1/2 binary64)) #s(literal -1 binary64)) (neg.f64 (log.f64 y)))
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(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y))
(log.f64 y)
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Outputs
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eval306.0ms (3.4%)

Memory
29.9MiB live, 399.8MiB allocated
Compiler

Compiled 45 258 to 4 273 computations (90.6% saved)

prune61.0ms (0.7%)

Memory
19.2MiB live, 183.7MiB allocated
Pruning

23 alts after pruning (22 fresh and 1 done)

PrunedKeptTotal
New1 896161 912
Fresh5611
Picked415
Done000
Total1 905231 928
Accuracy
100.0%
Counts
1 928 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.6%
(fma.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x y)) (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 x y)) (pow.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 x y)) #s(literal -1 binary64))) (neg.f64 z))
98.5%
(fma.f64 (fma.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y) x) (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x) (pow.f64 (fma.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y) x) #s(literal -1 binary64))) (-.f64 y z))
43.7%
(fma.f64 (fma.f64 y y #s(literal -1/4 binary64)) #s(approx (* (pow (- y 1/2) -1) (neg (log y))) (/.f64 (neg.f64 (log.f64 y)) y)) (+.f64 x (-.f64 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)
99.5%
(-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) y) z)
72.0%
(-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) #s(approx (/ 1 (+ 1/2 y)) (fma.f64 #s(literal -4 binary64) y #s(literal 2 binary64))))) y) z)
68.5%
(-.f64 (+.f64 #s(approx (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) (fma.f64 (neg.f64 x) (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (*.f64 (-.f64 y #s(literal 1/2 binary64)) x)) x)) y) z)
72.9%
(-.f64 #s(approx (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z)
59.2%
(-.f64 #s(approx (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) y) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) z)
72.9%
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y)) z)
47.8%
#s(approx (- (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) y) z) (-.f64 (+.f64 y x) (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64)))))
29.1%
#s(approx (- (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y))
67.8%
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)))
9.0%
#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)))
52.1%
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y (fma.f64 (fma.f64 y y #s(literal -1/4 binary64)) (/.f64 (log.f64 y) (-.f64 y #s(literal 1/2 binary64))) z)))
45.5%
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y (fma.f64 #s(approx (+ 1/2 y) #s(literal 1/2 binary64)) (log.f64 y) z)))
65.1%
#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))))
42.0%
#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)))))
29.1%
#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))))
81.6%
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) 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))
32.7%
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z))
46.5%
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) (neg.f64 z))))
65.6%
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (neg.f64 (fma.f64 (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) (neg.f64 y)) z) z z))))
Compiler

Compiled 631 to 503 computations (20.3% saved)

simplify153.0ms (1.7%)

Memory
-33.7MiB live, 170.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (neg.f64 (log.f64 y)) y)
cost-diff0
#s(approx (* (pow (- y 1/2) -1) (neg (log y))) (/.f64 (neg.f64 (log.f64 y)) y))
cost-diff0
(fma.f64 y y #s(literal -1/4 binary64))
cost-diff0
(fma.f64 (fma.f64 y y #s(literal -1/4 binary64)) #s(approx (* (pow (- y 1/2) -1) (neg (log y))) (/.f64 (neg.f64 (log.f64 y)) y)) (+.f64 x (-.f64 y z)))
cost-diff0
(/.f64 (log.f64 y) #s(approx (/ 1 (+ 1/2 y)) (fma.f64 #s(literal -4 binary64) y #s(literal 2 binary64))))
cost-diff0
(-.f64 x (/.f64 (log.f64 y) #s(approx (/ 1 (+ 1/2 y)) (fma.f64 #s(literal -4 binary64) y #s(literal 2 binary64)))))
cost-diff0
(+.f64 (-.f64 x (/.f64 (log.f64 y) #s(approx (/ 1 (+ 1/2 y)) (fma.f64 #s(literal -4 binary64) y #s(literal 2 binary64))))) y)
cost-diff0
(-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) #s(approx (/ 1 (+ 1/2 y)) (fma.f64 #s(literal -4 binary64) y #s(literal 2 binary64))))) 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 y) -1/4) (log y)) (- y 1/2))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x))
cost-diff0
(-.f64 #s(approx (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) 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 #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)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057315
086294
1164293
2396281
31140279
43218279
55297279
67575279
08133277
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(-.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
#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 y) -1/4) (log y)) (- y 1/2))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z)
#s(approx (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) 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
(-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) #s(approx (/ 1 (+ 1/2 y)) (fma.f64 #s(literal -4 binary64) y #s(literal 2 binary64))))) y) z)
(+.f64 (-.f64 x (/.f64 (log.f64 y) #s(approx (/ 1 (+ 1/2 y)) (fma.f64 #s(literal -4 binary64) y #s(literal 2 binary64))))) y)
(-.f64 x (/.f64 (log.f64 y) #s(approx (/ 1 (+ 1/2 y)) (fma.f64 #s(literal -4 binary64) y #s(literal 2 binary64)))))
x
(/.f64 (log.f64 y) #s(approx (/ 1 (+ 1/2 y)) (fma.f64 #s(literal -4 binary64) y #s(literal 2 binary64))))
(log.f64 y)
y
#s(approx (/ 1 (+ 1/2 y)) (fma.f64 #s(literal -4 binary64) y #s(literal 2 binary64)))
(fma.f64 #s(literal -4 binary64) y #s(literal 2 binary64))
#s(literal -4 binary64)
#s(literal 2 binary64)
z
(fma.f64 (fma.f64 y y #s(literal -1/4 binary64)) #s(approx (* (pow (- y 1/2) -1) (neg (log y))) (/.f64 (neg.f64 (log.f64 y)) y)) (+.f64 x (-.f64 y z)))
(fma.f64 y y #s(literal -1/4 binary64))
y
#s(literal -1/4 binary64)
#s(approx (* (pow (- y 1/2) -1) (neg (log y))) (/.f64 (neg.f64 (log.f64 y)) y))
(/.f64 (neg.f64 (log.f64 y)) y)
(neg.f64 (log.f64 y))
(log.f64 y)
(+.f64 x (-.f64 y z))
x
(-.f64 y z)
z
Outputs
(-.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 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) 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 (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
#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 y) -1/4) (log y)) (- y 1/2))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z)
(-.f64 #s(approx (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) y) (fma.f64 (log.f64 y) #s(literal -1/2 binary64) x)) z)
#s(approx (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x))
#s(approx (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) 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
(-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) #s(approx (/ 1 (+ 1/2 y)) (fma.f64 #s(literal -4 binary64) y #s(literal 2 binary64))))) y) z)
(-.f64 (+.f64 (-.f64 y z) x) (/.f64 (log.f64 y) #s(approx (/ 1 (+ 1/2 y)) (fma.f64 #s(literal -4 binary64) y #s(literal 2 binary64)))))
(+.f64 (-.f64 x (/.f64 (log.f64 y) #s(approx (/ 1 (+ 1/2 y)) (fma.f64 #s(literal -4 binary64) y #s(literal 2 binary64))))) y)
(-.f64 (+.f64 x y) (/.f64 (log.f64 y) #s(approx (/ 1 (+ 1/2 y)) (fma.f64 #s(literal -4 binary64) y #s(literal 2 binary64)))))
(-.f64 x (/.f64 (log.f64 y) #s(approx (/ 1 (+ 1/2 y)) (fma.f64 #s(literal -4 binary64) y #s(literal 2 binary64)))))
x
(/.f64 (log.f64 y) #s(approx (/ 1 (+ 1/2 y)) (fma.f64 #s(literal -4 binary64) y #s(literal 2 binary64))))
(log.f64 y)
y
#s(approx (/ 1 (+ 1/2 y)) (fma.f64 #s(literal -4 binary64) y #s(literal 2 binary64)))
(fma.f64 #s(literal -4 binary64) y #s(literal 2 binary64))
#s(literal -4 binary64)
#s(literal 2 binary64)
z
(fma.f64 (fma.f64 y y #s(literal -1/4 binary64)) #s(approx (* (pow (- y 1/2) -1) (neg (log y))) (/.f64 (neg.f64 (log.f64 y)) y)) (+.f64 x (-.f64 y z)))
(fma.f64 #s(approx (* (pow (- y 1/2) -1) (neg (log y))) (/.f64 (neg.f64 (log.f64 y)) y)) (fma.f64 y y #s(literal -1/4 binary64)) (+.f64 (-.f64 y z) x))
(fma.f64 y y #s(literal -1/4 binary64))
y
#s(literal -1/4 binary64)
#s(approx (* (pow (- y 1/2) -1) (neg (log y))) (/.f64 (neg.f64 (log.f64 y)) y))
(/.f64 (neg.f64 (log.f64 y)) y)
(neg.f64 (log.f64 y))
(log.f64 y)
(+.f64 x (-.f64 y z))
(+.f64 (-.f64 y z) x)
x
(-.f64 y z)
z

localize129.0ms (1.4%)

Memory
33.1MiB live, 196.4MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0
(log.f64 y)
accuracy0.20703125
(/.f64 (neg.f64 (log.f64 y)) y)
accuracy16.40345365403003
(fma.f64 (fma.f64 y y #s(literal -1/4 binary64)) #s(approx (* (pow (- y 1/2) -1) (neg (log y))) (/.f64 (neg.f64 (log.f64 y)) y)) (+.f64 x (-.f64 y z)))
accuracy30.762792888353875
#s(approx (* (pow (- y 1/2) -1) (neg (log y))) (/.f64 (neg.f64 (log.f64 y)) y))
accuracy0
(log.f64 y)
accuracy0.1015625
(+.f64 (-.f64 x (/.f64 (log.f64 y) #s(approx (/ 1 (+ 1/2 y)) (fma.f64 #s(literal -4 binary64) y #s(literal 2 binary64))))) y)
accuracy0.189785009768442
(/.f64 (log.f64 y) #s(approx (/ 1 (+ 1/2 y)) (fma.f64 #s(literal -4 binary64) y #s(literal 2 binary64))))
accuracy32.73043027284165
#s(approx (/ 1 (+ 1/2 y)) (fma.f64 #s(literal -4 binary64) y #s(literal 2 binary64)))
accuracy0
(-.f64 #s(approx (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z)
accuracy0
(log.f64 y)
accuracy0.00390625
(fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)
accuracy24.284540859055646
#s(approx (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x))
accuracy0
(+.f64 #s(literal 0 binary64) z)
accuracy0
(*.f64 z z)
accuracy32.22732737190621
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))
accuracy43.08618678797592
#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)))
accuracy0.1015625
(+.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)
accuracy0.10546875
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x)
accuracy0.23046875
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x)))
accuracy0.6804373782309702
(/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x))
Samples
85.0ms256×0valid
Compiler

Compiled 270 to 56 computations (79.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 63.0ms
ival-add: 15.0ms (23.7% of total)
ival-mult: 13.0ms (20.6% of total)
ival-sub: 13.0ms (20.6% of total)
ival-div: 12.0ms (19% of total)
ival-log: 4.0ms (6.3% of total)
ival-pow: 4.0ms (6.3% of total)
exact: 1.0ms (1.6% of total)
ival-neg: 1.0ms (1.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series83.0ms (0.9%)

Memory
-3.7MiB live, 152.0MiB allocated
Counts
23 → 492
Calls
Call 1
Inputs
#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 (/.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 y) -1/4) (log y)) (- y 1/2))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) (patch (-.f64 #s(approx (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) #<representation binary64>) () ())
#s(alt #s(approx (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) (patch #s(approx (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) 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 (log.f64 y) (patch (log.f64 y) #<representation binary64>) () ())
#s(alt (-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) #s(approx (/ 1 (+ 1/2 y)) (fma.f64 #s(literal -4 binary64) y #s(literal 2 binary64))))) y) z) (patch (-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) #s(approx (/ 1 (+ 1/2 y)) (fma.f64 #s(literal -4 binary64) y #s(literal 2 binary64))))) y) z) #<representation binary64>) () ())
#s(alt (+.f64 (-.f64 x (/.f64 (log.f64 y) #s(approx (/ 1 (+ 1/2 y)) (fma.f64 #s(literal -4 binary64) y #s(literal 2 binary64))))) y) (patch (+.f64 (-.f64 x (/.f64 (log.f64 y) #s(approx (/ 1 (+ 1/2 y)) (fma.f64 #s(literal -4 binary64) y #s(literal 2 binary64))))) y) #<representation binary64>) () ())
#s(alt (-.f64 x (/.f64 (log.f64 y) #s(approx (/ 1 (+ 1/2 y)) (fma.f64 #s(literal -4 binary64) y #s(literal 2 binary64))))) (patch (-.f64 x (/.f64 (log.f64 y) #s(approx (/ 1 (+ 1/2 y)) (fma.f64 #s(literal -4 binary64) y #s(literal 2 binary64))))) #<representation binary64>) () ())
#s(alt (/.f64 (log.f64 y) #s(approx (/ 1 (+ 1/2 y)) (fma.f64 #s(literal -4 binary64) y #s(literal 2 binary64)))) (patch (/.f64 (log.f64 y) #s(approx (/ 1 (+ 1/2 y)) (fma.f64 #s(literal -4 binary64) y #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 y y #s(literal -1/4 binary64)) #s(approx (* (pow (- y 1/2) -1) (neg (log y))) (/.f64 (neg.f64 (log.f64 y)) y)) (+.f64 x (-.f64 y z))) (patch (fma.f64 (fma.f64 y y #s(literal -1/4 binary64)) #s(approx (* (pow (- y 1/2) -1) (neg (log y))) (/.f64 (neg.f64 (log.f64 y)) y)) (+.f64 x (-.f64 y z))) #<representation binary64>) () ())
#s(alt (fma.f64 y y #s(literal -1/4 binary64)) (patch (fma.f64 y y #s(literal -1/4 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (* (pow (- y 1/2) -1) (neg (log y))) (/.f64 (neg.f64 (log.f64 y)) y)) (patch #s(approx (* (pow (- y 1/2) -1) (neg (log y))) (/.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>) () ())
#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 (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())
#s(alt #s(approx (/ 1 (+ 1/2 y)) (fma.f64 #s(literal -4 binary64) y #s(literal 2 binary64))) (patch #s(approx (/ 1 (+ 1/2 y)) (fma.f64 #s(literal -4 binary64) y #s(literal 2 binary64))) #<representation binary64>) () ())
Outputs
#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 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) (- (pow y 2) 1/4)) (- y 1/2))) (taylor 0 z) (#s(alt (-.f64 #s(approx (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) (patch (-.f64 #s(approx (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) #<representation binary64>) () ())) ())
#s(alt (- (+ x (+ y (* -1 z))) (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2))) (taylor 0 z) (#s(alt (-.f64 #s(approx (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) (patch (-.f64 #s(approx (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) #<representation binary64>) () ())) ())
#s(alt (- (+ x (+ y (* -1 z))) (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2))) (taylor 0 z) (#s(alt (-.f64 #s(approx (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) (patch (-.f64 #s(approx (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) #<representation binary64>) () ())) ())
#s(alt (- (+ x (+ y (* -1 z))) (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2))) (taylor 0 z) (#s(alt (-.f64 #s(approx (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) (patch (-.f64 #s(approx (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) 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 (-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) #s(approx (/ 1 (+ 1/2 y)) (fma.f64 #s(literal -4 binary64) y #s(literal 2 binary64))))) y) z) (patch (-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) #s(approx (/ 1 (+ 1/2 y)) (fma.f64 #s(literal -4 binary64) y #s(literal 2 binary64))))) 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) #s(approx (/ 1 (+ 1/2 y)) (fma.f64 #s(literal -4 binary64) y #s(literal 2 binary64))))) y) z) (patch (-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) #s(approx (/ 1 (+ 1/2 y)) (fma.f64 #s(literal -4 binary64) y #s(literal 2 binary64))))) 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) #s(approx (/ 1 (+ 1/2 y)) (fma.f64 #s(literal -4 binary64) y #s(literal 2 binary64))))) y) z) (patch (-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) #s(approx (/ 1 (+ 1/2 y)) (fma.f64 #s(literal -4 binary64) y #s(literal 2 binary64))))) 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) #s(approx (/ 1 (+ 1/2 y)) (fma.f64 #s(literal -4 binary64) y #s(literal 2 binary64))))) y) z) (patch (-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) #s(approx (/ 1 (+ 1/2 y)) (fma.f64 #s(literal -4 binary64) y #s(literal 2 binary64))))) y) z) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y (* -1 (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2))))) (taylor 0 z) (#s(alt (fma.f64 (fma.f64 y y #s(literal -1/4 binary64)) #s(approx (* (pow (- y 1/2) -1) (neg (log y))) (/.f64 (neg.f64 (log.f64 y)) y)) (+.f64 x (-.f64 y z))) (patch (fma.f64 (fma.f64 y y #s(literal -1/4 binary64)) #s(approx (* (pow (- y 1/2) -1) (neg (log y))) (/.f64 (neg.f64 (log.f64 y)) y)) (+.f64 x (-.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y (+ (* -1 z) (* -1 (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2)))))) (taylor 0 z) (#s(alt (fma.f64 (fma.f64 y y #s(literal -1/4 binary64)) #s(approx (* (pow (- y 1/2) -1) (neg (log y))) (/.f64 (neg.f64 (log.f64 y)) y)) (+.f64 x (-.f64 y z))) (patch (fma.f64 (fma.f64 y y #s(literal -1/4 binary64)) #s(approx (* (pow (- y 1/2) -1) (neg (log y))) (/.f64 (neg.f64 (log.f64 y)) y)) (+.f64 x (-.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y (+ (* -1 z) (* -1 (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2)))))) (taylor 0 z) (#s(alt (fma.f64 (fma.f64 y y #s(literal -1/4 binary64)) #s(approx (* (pow (- y 1/2) -1) (neg (log y))) (/.f64 (neg.f64 (log.f64 y)) y)) (+.f64 x (-.f64 y z))) (patch (fma.f64 (fma.f64 y y #s(literal -1/4 binary64)) #s(approx (* (pow (- y 1/2) -1) (neg (log y))) (/.f64 (neg.f64 (log.f64 y)) y)) (+.f64 x (-.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y (+ (* -1 z) (* -1 (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2)))))) (taylor 0 z) (#s(alt (fma.f64 (fma.f64 y y #s(literal -1/4 binary64)) #s(approx (* (pow (- y 1/2) -1) (neg (log y))) (/.f64 (neg.f64 (log.f64 y)) y)) (+.f64 x (-.f64 y z))) (patch (fma.f64 (fma.f64 y y #s(literal -1/4 binary64)) #s(approx (* (pow (- y 1/2) -1) (neg (log y))) (/.f64 (neg.f64 (log.f64 y)) y)) (+.f64 x (-.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 (* -1 z) (taylor inf 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 (* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1)) (taylor inf 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 (* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1)) (taylor inf 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 (* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1)) (taylor inf 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 (/.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 inf 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 inf 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 inf 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 inf z) (#s(alt (+.f64 #s(literal 0 binary64) z) (patch (+.f64 #s(literal 0 binary64) z) #<representation binary64>) () ())) ())
#s(alt z (taylor inf z) (#s(alt (+.f64 #s(literal 0 binary64) z) (patch (+.f64 #s(literal 0 binary64) z) #<representation binary64>) () ())) ())
#s(alt z (taylor inf z) (#s(alt (+.f64 #s(literal 0 binary64) z) (patch (+.f64 #s(literal 0 binary64) z) #<representation binary64>) () ())) ())
#s(alt z (taylor inf 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 inf 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 inf 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 inf 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 inf 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 z) (taylor inf 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 (* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) (taylor inf 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 (* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) (taylor inf 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 (* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z)))) (taylor inf 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 (* -1 z) (taylor inf z) (#s(alt (-.f64 #s(approx (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) (patch (-.f64 #s(approx (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) (taylor -inf x) (#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 (taylor -inf x) (#s(alt (-.f64 #s(approx (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) (patch (-.f64 #s(approx (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- y (+ z (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2)))) x)) 1))) (taylor -inf x) (#s(alt (-.f64 #s(approx (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) (patch (-.f64 #s(approx (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- y (+ z (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2)))) x)) 1))) (taylor -inf x) (#s(alt (-.f64 #s(approx (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) (patch (-.f64 #s(approx (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- y (+ z (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2)))) x)) 1))) (taylor -inf x) (#s(alt (-.f64 #s(approx (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) (patch (-.f64 #s(approx (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt #s(approx (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) (patch #s(approx (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- y (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2))) x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) (patch #s(approx (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- y (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2))) x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) (patch #s(approx (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- y (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2))) x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) (patch #s(approx (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#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 (* -1 (* x (- (* 1/2 (/ (log y) x)) 1))) (taylor -inf x) (#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 (* -1 (* x (- (* 1/2 (/ (log y) x)) 1))) (taylor -inf x) (#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 (* -1 (* x (- (* 1/2 (/ (log y) x)) 1))) (taylor -inf x) (#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 x (taylor -inf x) (#s(alt (-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) #s(approx (/ 1 (+ 1/2 y)) (fma.f64 #s(literal -4 binary64) y #s(literal 2 binary64))))) y) z) (patch (-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) #s(approx (/ 1 (+ 1/2 y)) (fma.f64 #s(literal -4 binary64) y #s(literal 2 binary64))))) y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) (taylor -inf x) (#s(alt (-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) #s(approx (/ 1 (+ 1/2 y)) (fma.f64 #s(literal -4 binary64) y #s(literal 2 binary64))))) y) z) (patch (-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) #s(approx (/ 1 (+ 1/2 y)) (fma.f64 #s(literal -4 binary64) y #s(literal 2 binary64))))) y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) (taylor -inf x) (#s(alt (-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) #s(approx (/ 1 (+ 1/2 y)) (fma.f64 #s(literal -4 binary64) y #s(literal 2 binary64))))) y) z) (patch (-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) #s(approx (/ 1 (+ 1/2 y)) (fma.f64 #s(literal -4 binary64) y #s(literal 2 binary64))))) y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1))) (taylor -inf x) (#s(alt (-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) #s(approx (/ 1 (+ 1/2 y)) (fma.f64 #s(literal -4 binary64) y #s(literal 2 binary64))))) y) z) (patch (-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) #s(approx (/ 1 (+ 1/2 y)) (fma.f64 #s(literal -4 binary64) y #s(literal 2 binary64))))) y) z) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 (-.f64 x (/.f64 (log.f64 y) #s(approx (/ 1 (+ 1/2 y)) (fma.f64 #s(literal -4 binary64) y #s(literal 2 binary64))))) y) (patch (+.f64 (-.f64 x (/.f64 (log.f64 y) #s(approx (/ 1 (+ 1/2 y)) (fma.f64 #s(literal -4 binary64) y #s(literal 2 binary64))))) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1))) (taylor -inf x) (#s(alt (+.f64 (-.f64 x (/.f64 (log.f64 y) #s(approx (/ 1 (+ 1/2 y)) (fma.f64 #s(literal -4 binary64) y #s(literal 2 binary64))))) y) (patch (+.f64 (-.f64 x (/.f64 (log.f64 y) #s(approx (/ 1 (+ 1/2 y)) (fma.f64 #s(literal -4 binary64) y #s(literal 2 binary64))))) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1))) (taylor -inf x) (#s(alt (+.f64 (-.f64 x (/.f64 (log.f64 y) #s(approx (/ 1 (+ 1/2 y)) (fma.f64 #s(literal -4 binary64) y #s(literal 2 binary64))))) y) (patch (+.f64 (-.f64 x (/.f64 (log.f64 y) #s(approx (/ 1 (+ 1/2 y)) (fma.f64 #s(literal -4 binary64) y #s(literal 2 binary64))))) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1))) (taylor -inf x) (#s(alt (+.f64 (-.f64 x (/.f64 (log.f64 y) #s(approx (/ 1 (+ 1/2 y)) (fma.f64 #s(literal -4 binary64) y #s(literal 2 binary64))))) y) (patch (+.f64 (-.f64 x (/.f64 (log.f64 y) #s(approx (/ 1 (+ 1/2 y)) (fma.f64 #s(literal -4 binary64) y #s(literal 2 binary64))))) y) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 x (/.f64 (log.f64 y) #s(approx (/ 1 (+ 1/2 y)) (fma.f64 #s(literal -4 binary64) y #s(literal 2 binary64))))) (patch (-.f64 x (/.f64 (log.f64 y) #s(approx (/ 1 (+ 1/2 y)) (fma.f64 #s(literal -4 binary64) y #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 (log.f64 y) #s(approx (/ 1 (+ 1/2 y)) (fma.f64 #s(literal -4 binary64) y #s(literal 2 binary64))))) (patch (-.f64 x (/.f64 (log.f64 y) #s(approx (/ 1 (+ 1/2 y)) (fma.f64 #s(literal -4 binary64) y #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 (log.f64 y) #s(approx (/ 1 (+ 1/2 y)) (fma.f64 #s(literal -4 binary64) y #s(literal 2 binary64))))) (patch (-.f64 x (/.f64 (log.f64 y) #s(approx (/ 1 (+ 1/2 y)) (fma.f64 #s(literal -4 binary64) y #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 (log.f64 y) #s(approx (/ 1 (+ 1/2 y)) (fma.f64 #s(literal -4 binary64) y #s(literal 2 binary64))))) (patch (-.f64 x (/.f64 (log.f64 y) #s(approx (/ 1 (+ 1/2 y)) (fma.f64 #s(literal -4 binary64) y #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (fma.f64 (fma.f64 y y #s(literal -1/4 binary64)) #s(approx (* (pow (- y 1/2) -1) (neg (log y))) (/.f64 (neg.f64 (log.f64 y)) y)) (+.f64 x (-.f64 y z))) (patch (fma.f64 (fma.f64 y y #s(literal -1/4 binary64)) #s(approx (* (pow (- y 1/2) -1) (neg (log y))) (/.f64 (neg.f64 (log.f64 y)) y)) (+.f64 x (-.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (+ y (* -1 (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2)))) z) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 y y #s(literal -1/4 binary64)) #s(approx (* (pow (- y 1/2) -1) (neg (log y))) (/.f64 (neg.f64 (log.f64 y)) y)) (+.f64 x (-.f64 y z))) (patch (fma.f64 (fma.f64 y y #s(literal -1/4 binary64)) #s(approx (* (pow (- y 1/2) -1) (neg (log y))) (/.f64 (neg.f64 (log.f64 y)) y)) (+.f64 x (-.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (+ y (* -1 (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2)))) z) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 y y #s(literal -1/4 binary64)) #s(approx (* (pow (- y 1/2) -1) (neg (log y))) (/.f64 (neg.f64 (log.f64 y)) y)) (+.f64 x (-.f64 y z))) (patch (fma.f64 (fma.f64 y y #s(literal -1/4 binary64)) #s(approx (* (pow (- y 1/2) -1) (neg (log y))) (/.f64 (neg.f64 (log.f64 y)) y)) (+.f64 x (-.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (+ y (* -1 (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2)))) z) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 y y #s(literal -1/4 binary64)) #s(approx (* (pow (- y 1/2) -1) (neg (log y))) (/.f64 (neg.f64 (log.f64 y)) y)) (+.f64 x (-.f64 y z))) (patch (fma.f64 (fma.f64 y y #s(literal -1/4 binary64)) #s(approx (* (pow (- y 1/2) -1) (neg (log y))) (/.f64 (neg.f64 (log.f64 y)) y)) (+.f64 x (-.f64 y z))) #<representation binary64>) () ())) ())
#s(alt x (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>) () ())) ())
#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
18.0ms
y
@inf
((/ 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)) (/ (- 0 (* z z)) (+ 0 z)) (+ 0 z) (- 0 (* z z)) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (- (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) y) z) (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) y) (+ (* -1/2 (log y)) x) (log y) (- (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) z) (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) (- x (/ (log y) (/ 1 (+ 1/2 y)))) (/ (log y) (/ 1 (+ 1/2 y))) (+ (* (+ (* y y) -1/4) (* (pow (- y 1/2) -1) (neg (log y)))) (+ x (- y z))) (+ (* y y) -1/4) (* (pow (- y 1/2) -1) (neg (log y))) (/ (neg (log y)) y) (+ (* (- -1/2 y) (log y)) x) (* z z) (/ 1 (+ 1/2 y)))
17.0ms
y
@-inf
((/ 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)) (/ (- 0 (* z z)) (+ 0 z)) (+ 0 z) (- 0 (* z z)) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (- (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) y) z) (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) y) (+ (* -1/2 (log y)) x) (log y) (- (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) z) (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) (- x (/ (log y) (/ 1 (+ 1/2 y)))) (/ (log y) (/ 1 (+ 1/2 y))) (+ (* (+ (* y y) -1/4) (* (pow (- y 1/2) -1) (neg (log y)))) (+ x (- y z))) (+ (* y y) -1/4) (* (pow (- y 1/2) -1) (neg (log y))) (/ (neg (log y)) y) (+ (* (- -1/2 y) (log y)) x) (* z z) (/ 1 (+ 1/2 y)))
8.0ms
y
@0
((/ 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)) (/ (- 0 (* z z)) (+ 0 z)) (+ 0 z) (- 0 (* z z)) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (- (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) y) z) (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) y) (+ (* -1/2 (log y)) x) (log y) (- (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) z) (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) (- x (/ (log y) (/ 1 (+ 1/2 y)))) (/ (log y) (/ 1 (+ 1/2 y))) (+ (* (+ (* y y) -1/4) (* (pow (- y 1/2) -1) (neg (log y)))) (+ x (- y z))) (+ (* y y) -1/4) (* (pow (- y 1/2) -1) (neg (log y))) (/ (neg (log y)) y) (+ (* (- -1/2 y) (log y)) x) (* z z) (/ 1 (+ 1/2 y)))
3.0ms
x
@0
((/ 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)) (/ (- 0 (* z z)) (+ 0 z)) (+ 0 z) (- 0 (* z z)) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (- (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) y) z) (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) y) (+ (* -1/2 (log y)) x) (log y) (- (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) z) (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) (- x (/ (log y) (/ 1 (+ 1/2 y)))) (/ (log y) (/ 1 (+ 1/2 y))) (+ (* (+ (* y y) -1/4) (* (pow (- y 1/2) -1) (neg (log y)))) (+ x (- y z))) (+ (* y y) -1/4) (* (pow (- y 1/2) -1) (neg (log y))) (/ (neg (log y)) y) (+ (* (- -1/2 y) (log y)) x) (* z z) (/ 1 (+ 1/2 y)))
3.0ms
z
@0
((/ 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)) (/ (- 0 (* z z)) (+ 0 z)) (+ 0 z) (- 0 (* z z)) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (- (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) y) z) (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) y) (+ (* -1/2 (log y)) x) (log y) (- (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) z) (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) (- x (/ (log y) (/ 1 (+ 1/2 y)))) (/ (log y) (/ 1 (+ 1/2 y))) (+ (* (+ (* y y) -1/4) (* (pow (- y 1/2) -1) (neg (log y)))) (+ x (- y z))) (+ (* y y) -1/4) (* (pow (- y 1/2) -1) (neg (log y))) (/ (neg (log y)) y) (+ (* (- -1/2 y) (log y)) x) (* z z) (/ 1 (+ 1/2 y)))

simplify575.0ms (6.3%)

Memory
-154.6MiB live, 220.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05596999
117876439
256636281
082945860
Stop Event
iter limit
node limit
Counts
492 → 456
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)
z
z
z
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) (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2)))
(- (+ x (+ y (* -1 z))) (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2)))
(- (+ x (+ y (* -1 z))) (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2)))
(- (+ x (+ y (* -1 z))) (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2)))
(- (+ x y) (* (log y) (+ 1/2 y)))
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rewrite298.0ms (3.3%)

Memory
27.7MiB live, 188.2MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
057271
086250
1470225
24813225
08729225
Stop Event
iter limit
node limit
iter limit
Counts
23 → 722
Calls
Call 1
Inputs
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#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)))
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Outputs
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eval318.0ms (3.5%)

Memory
-23.7MiB live, 166.2MiB allocated
Compiler

Compiled 25 599 to 3 167 computations (87.6% saved)

prune87.0ms (0.9%)

Memory
12.5MiB live, 101.4MiB allocated
Pruning

25 alts after pruning (22 fresh and 3 done)

PrunedKeptTotal
New1 216131 229
Fresh8917
Picked325
Done011
Total1 227251 252
Accuracy
100.0%
Counts
1 252 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
60.6%
(fma.f64 #s(approx (+ (* y y) -1/4) (*.f64 y y)) #s(approx (* (pow (- y 1/2) -1) (neg (log y))) (/.f64 (neg.f64 (log.f64 y)) y)) (+.f64 x (-.f64 y z)))
59.2%
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- -1/2 y) (log y)) x) (*.f64 (neg.f64 y) (log.f64 y))))) y) z)
59.1%
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) x)) (/.f64 (/.f64 #s(literal -1 binary64) (log.f64 y)) y))) y) z)
58.4%
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) x)) (/.f64 #s(literal 1 binary64) x))) y) z)
99.5%
(-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) y) z)
72.0%
(-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) #s(approx (/ 1 (+ 1/2 y)) (fma.f64 #s(literal -4 binary64) y #s(literal 2 binary64))))) y) z)
85.6%
(-.f64 (+.f64 #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (fma.f64 (/.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) x) x x)) y) z)
72.9%
(-.f64 #s(approx (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)) z)
59.2%
(-.f64 #s(approx (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) (-.f64 y (*.f64 (log.f64 y) y))) z)
72.9%
(-.f64 #s(approx (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z)
46.5%
(-.f64 #s(approx (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) y) #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))) z)
67.8%
#s(approx (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (+.f64 y x)))
29.1%
#s(approx (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (-.f64 y (*.f64 (log.f64 y) y)))
47.8%
#s(approx (- (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) y) z) (-.f64 (+.f64 y x) (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64)))))
29.1%
#s(approx (- (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y))
7.1%
#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)))
6.3%
#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 z (*.f64 z z)))))
9.0%
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 z) z) z))
52.1%
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y (fma.f64 (fma.f64 y y #s(literal -1/4 binary64)) (/.f64 (log.f64 y) (-.f64 y #s(literal 1/2 binary64))) z)))
45.5%
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y (fma.f64 #s(approx (+ 1/2 y) #s(literal 1/2 binary64)) (log.f64 y) z)))
65.1%
#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))))
42.0%
#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)))))
81.6%
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) 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))
32.7%
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z))
65.6%
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (neg.f64 (fma.f64 (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) (neg.f64 y)) z) z z))))
Compiler

Compiled 569 to 493 computations (13.4% saved)

simplify144.0ms (1.6%)

Memory
1.8MiB live, 113.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (* (pow (- y 1/2) -1) (neg (log y))) (/.f64 (neg.f64 (log.f64 y)) y))
cost-diff0
(*.f64 y y)
cost-diff0
#s(approx (+ (* y y) -1/4) (*.f64 y y))
cost-diff0
(fma.f64 #s(approx (+ (* y y) -1/4) (*.f64 y y)) #s(approx (* (pow (- y 1/2) -1) (neg (log y))) (/.f64 (neg.f64 (log.f64 y)) y)) (+.f64 x (-.f64 y z)))
cost-diff0
(-.f64 #s(literal -1/2 binary64) y)
cost-diff0
(log.f64 y)
cost-diff0
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (+.f64 y x))
cost-diff0
#s(approx (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (+.f64 y x)))
cost-diff0
(log.f64 y)
cost-diff0
(*.f64 (log.f64 y) y)
cost-diff0
(-.f64 y (*.f64 (log.f64 y) y))
cost-diff0
#s(approx (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (-.f64 y (*.f64 (log.f64 y) y)))
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
(-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) y) z)
cost-diff128
(-.f64 x (/.f64 (log.f64 y) (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))))
cost-diff6464
(pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))
cost-diff6848
(/.f64 (log.f64 y) (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055267
080268
1150247
2326237
3828226
42027222
54365222
66168222
77456222
08014219
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) y) z)
(+.f64 (-.f64 x (/.f64 (log.f64 y) (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) y)
(-.f64 x (/.f64 (log.f64 y) (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))))
x
(/.f64 (log.f64 y) (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(log.f64 y)
y
(pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64))
(+.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
#s(literal -1/2 binary64)
#s(literal 2 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 (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (-.f64 y (*.f64 (log.f64 y) y)))
(-.f64 y (*.f64 (log.f64 y) y))
y
(*.f64 (log.f64 y) y)
(log.f64 y)
#s(approx (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (+.f64 y x)))
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (+.f64 y x))
(log.f64 y)
y
(-.f64 #s(literal -1/2 binary64) y)
#s(literal -1/2 binary64)
(+.f64 y x)
x
(fma.f64 #s(approx (+ (* y y) -1/4) (*.f64 y y)) #s(approx (* (pow (- y 1/2) -1) (neg (log y))) (/.f64 (neg.f64 (log.f64 y)) y)) (+.f64 x (-.f64 y z)))
#s(approx (+ (* y y) -1/4) (*.f64 y y))
(*.f64 y y)
y
#s(approx (* (pow (- y 1/2) -1) (neg (log y))) (/.f64 (neg.f64 (log.f64 y)) y))
(/.f64 (neg.f64 (log.f64 y)) y)
(neg.f64 (log.f64 y))
(log.f64 y)
(+.f64 x (-.f64 y z))
x
(-.f64 y z)
z
Outputs
(-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) y) z)
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 (+.f64 y x) z))
(+.f64 (-.f64 x (/.f64 (log.f64 y) (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) y)
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x))
(-.f64 x (/.f64 (log.f64 y) (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))))
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x)
x
(/.f64 (log.f64 y) (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(*.f64 (-.f64 y #s(literal -1/2 binary64)) (log.f64 y))
(log.f64 y)
y
(pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (-.f64 y #s(literal -1/2 binary64)) #s(literal -1 binary64))
(pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64))
(pow.f64 (-.f64 y #s(literal -1/2 binary64)) #s(literal -1/2 binary64))
(+.f64 #s(literal 1/2 binary64) y)
(-.f64 y #s(literal -1/2 binary64))
#s(literal 1/2 binary64)
#s(literal -1/2 binary64)
#s(literal 2 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 (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (-.f64 y (*.f64 (log.f64 y) y)))
(-.f64 y (*.f64 (log.f64 y) y))
y
(*.f64 (log.f64 y) y)
(log.f64 y)
#s(approx (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (+.f64 y x)))
#s(approx (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)))
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (+.f64 y x))
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x))
(log.f64 y)
y
(-.f64 #s(literal -1/2 binary64) y)
#s(literal -1/2 binary64)
(+.f64 y x)
x
(fma.f64 #s(approx (+ (* y y) -1/4) (*.f64 y y)) #s(approx (* (pow (- y 1/2) -1) (neg (log y))) (/.f64 (neg.f64 (log.f64 y)) y)) (+.f64 x (-.f64 y z)))
(fma.f64 #s(approx (* (pow (- y 1/2) -1) (neg (log y))) (/.f64 (neg.f64 (log.f64 y)) y)) #s(approx (+ (* y y) -1/4) (*.f64 y y)) (-.f64 (+.f64 y x) z))
#s(approx (+ (* y y) -1/4) (*.f64 y y))
(*.f64 y y)
y
#s(approx (* (pow (- y 1/2) -1) (neg (log y))) (/.f64 (neg.f64 (log.f64 y)) y))
(/.f64 (neg.f64 (log.f64 y)) y)
(neg.f64 (log.f64 y))
(log.f64 y)
(+.f64 x (-.f64 y z))
(-.f64 (+.f64 y x) z)
x
(-.f64 y z)
z

localize222.0ms (2.4%)

Memory
-20.8MiB live, 186.0MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.20703125
(/.f64 (neg.f64 (log.f64 y)) y)
accuracy16.40345365403003
(fma.f64 #s(approx (+ (* y y) -1/4) (*.f64 y y)) #s(approx (* (pow (- y 1/2) -1) (neg (log y))) (/.f64 (neg.f64 (log.f64 y)) y)) (+.f64 x (-.f64 y z)))
accuracy29.95069597791644
#s(approx (+ (* y y) -1/4) (*.f64 y y))
accuracy30.762792888353875
#s(approx (* (pow (- y 1/2) -1) (neg (log y))) (/.f64 (neg.f64 (log.f64 y)) y))
accuracy0
(+.f64 y x)
accuracy0
(log.f64 y)
accuracy0.11328125
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (+.f64 y x))
accuracy20.49333137491964
#s(approx (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (+.f64 y x)))
accuracy0
(log.f64 y)
accuracy0.25390625
(*.f64 (log.f64 y) y)
accuracy0.2578125
(-.f64 y (*.f64 (log.f64 y) y))
accuracy45.27274366514183
#s(approx (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (-.f64 y (*.f64 (log.f64 y) y)))
accuracy0
(*.f64 (neg.f64 z) z)
accuracy0
(neg.f64 z)
accuracy32.22732737190621
(/.f64 (*.f64 (neg.f64 z) z) z)
accuracy43.08618678797592
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 z) z) z))
accuracy0.00390625
(pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64))
accuracy0.1015625
(+.f64 (-.f64 x (/.f64 (log.f64 y) (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) y)
accuracy0.189785009768442
(/.f64 (log.f64 y) (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
accuracy0.7389450195368841
(pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))
Samples
152.0ms256×0valid
Compiler

Compiled 227 to 50 computations (78% saved)

Precisions
Click to see histograms. Total time spent on operations: 104.0ms
ival-mult: 45.0ms (43.1% of total)
ival-sub: 20.0ms (19.2% of total)
ival-add: 12.0ms (11.5% of total)
ival-pow: 10.0ms (9.6% of total)
ival-div: 8.0ms (7.7% of total)
ival-log: 4.0ms (3.8% of total)
ival-pow2: 3.0ms (2.9% of total)
ival-neg: 2.0ms (1.9% of total)
exact: 1.0ms (1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series110.0ms (1.2%)

Memory
44.0MiB live, 154.2MiB allocated
Counts
23 → 444
Calls
Call 1
Inputs
#s(alt (/.f64 (log.f64 y) (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (patch (/.f64 (log.f64 y) (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 x (/.f64 (log.f64 y) (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) (patch (-.f64 x (/.f64 (log.f64 y) (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) y) z) (patch (-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) y) z) #<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 #s(approx (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (-.f64 y (*.f64 (log.f64 y) y))) (patch #s(approx (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (-.f64 y (*.f64 (log.f64 y) y))) #<representation binary64>) () ())
#s(alt (-.f64 y (*.f64 (log.f64 y) y)) (patch (-.f64 y (*.f64 (log.f64 y) y)) #<representation binary64>) () ())
#s(alt (*.f64 (log.f64 y) y) (patch (*.f64 (log.f64 y) y) #<representation binary64>) () ())
#s(alt (log.f64 y) (patch (log.f64 y) #<representation binary64>) () ())
#s(alt #s(approx (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (+.f64 y x))) (patch #s(approx (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (+.f64 y x))) #<representation binary64>) () ())
#s(alt (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (+.f64 y x)) (patch (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (+.f64 y x)) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal -1/2 binary64) y) (patch (-.f64 #s(literal -1/2 binary64) y) #<representation binary64>) () ())
#s(alt (fma.f64 #s(approx (+ (* y y) -1/4) (*.f64 y y)) #s(approx (* (pow (- y 1/2) -1) (neg (log y))) (/.f64 (neg.f64 (log.f64 y)) y)) (+.f64 x (-.f64 y z))) (patch (fma.f64 #s(approx (+ (* y y) -1/4) (*.f64 y y)) #s(approx (* (pow (- y 1/2) -1) (neg (log y))) (/.f64 (neg.f64 (log.f64 y)) y)) (+.f64 x (-.f64 y z))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* y y) -1/4) (*.f64 y y)) (patch #s(approx (+ (* y y) -1/4) (*.f64 y y)) #<representation binary64>) () ())
#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())
#s(alt #s(approx (* (pow (- y 1/2) -1) (neg (log y))) (/.f64 (neg.f64 (log.f64 y)) y)) (patch #s(approx (* (pow (- y 1/2) -1) (neg (log y))) (/.f64 (neg.f64 (log.f64 y)) y)) #<representation binary64>) () ())
#s(alt (+.f64 (-.f64 x (/.f64 (log.f64 y) (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) y) (patch (+.f64 (-.f64 x (/.f64 (log.f64 y) (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) y) #<representation binary64>) () ())
#s(alt (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) (patch (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 y x) (patch (+.f64 y x) #<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) (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) y) z) (patch (-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) 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) (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) y) z) (patch (-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) 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) (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) y) z) (patch (-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) 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) (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) y) z) (patch (-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) 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 (+ 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 y (*.f64 (log.f64 y) y))) (patch #s(approx (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (-.f64 y (*.f64 (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 y (*.f64 (log.f64 y) y))) (patch #s(approx (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (-.f64 y (*.f64 (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 y (*.f64 (log.f64 y) y))) (patch #s(approx (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (-.f64 y (*.f64 (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 y (*.f64 (log.f64 y) y))) (patch #s(approx (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (-.f64 y (*.f64 (log.f64 y) y))) #<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) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (+.f64 y x))) (patch #s(approx (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (+.f64 y x))) #<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) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (+.f64 y x))) (patch #s(approx (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (+.f64 y x))) #<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) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (+.f64 y x))) (patch #s(approx (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (+.f64 y x))) #<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) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (+.f64 y x))) (patch #s(approx (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (+.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y (* -1 (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2))))) (taylor 0 z) (#s(alt (fma.f64 #s(approx (+ (* y y) -1/4) (*.f64 y y)) #s(approx (* (pow (- y 1/2) -1) (neg (log y))) (/.f64 (neg.f64 (log.f64 y)) y)) (+.f64 x (-.f64 y z))) (patch (fma.f64 #s(approx (+ (* y y) -1/4) (*.f64 y y)) #s(approx (* (pow (- y 1/2) -1) (neg (log y))) (/.f64 (neg.f64 (log.f64 y)) y)) (+.f64 x (-.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y (+ (* -1 z) (* -1 (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2)))))) (taylor 0 z) (#s(alt (fma.f64 #s(approx (+ (* y y) -1/4) (*.f64 y y)) #s(approx (* (pow (- y 1/2) -1) (neg (log y))) (/.f64 (neg.f64 (log.f64 y)) y)) (+.f64 x (-.f64 y z))) (patch (fma.f64 #s(approx (+ (* y y) -1/4) (*.f64 y y)) #s(approx (* (pow (- y 1/2) -1) (neg (log y))) (/.f64 (neg.f64 (log.f64 y)) y)) (+.f64 x (-.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y (+ (* -1 z) (* -1 (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2)))))) (taylor 0 z) (#s(alt (fma.f64 #s(approx (+ (* y y) -1/4) (*.f64 y y)) #s(approx (* (pow (- y 1/2) -1) (neg (log y))) (/.f64 (neg.f64 (log.f64 y)) y)) (+.f64 x (-.f64 y z))) (patch (fma.f64 #s(approx (+ (* y y) -1/4) (*.f64 y y)) #s(approx (* (pow (- y 1/2) -1) (neg (log y))) (/.f64 (neg.f64 (log.f64 y)) y)) (+.f64 x (-.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y (+ (* -1 z) (* -1 (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2)))))) (taylor 0 z) (#s(alt (fma.f64 #s(approx (+ (* y y) -1/4) (*.f64 y y)) #s(approx (* (pow (- y 1/2) -1) (neg (log y))) (/.f64 (neg.f64 (log.f64 y)) y)) (+.f64 x (-.f64 y z))) (patch (fma.f64 #s(approx (+ (* y y) -1/4) (*.f64 y y)) #s(approx (* (pow (- y 1/2) -1) (neg (log y))) (/.f64 (neg.f64 (log.f64 y)) y)) (+.f64 x (-.f64 y z))) #<representation binary64>) () ())) ())
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#s(alt x (taylor -inf x) (#s(alt (+.f64 (-.f64 x (/.f64 (log.f64 y) (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) y) (patch (+.f64 (-.f64 x (/.f64 (log.f64 y) (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1))) (taylor -inf x) (#s(alt (+.f64 (-.f64 x (/.f64 (log.f64 y) (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) y) (patch (+.f64 (-.f64 x (/.f64 (log.f64 y) (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1))) (taylor -inf x) (#s(alt (+.f64 (-.f64 x (/.f64 (log.f64 y) (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) y) (patch (+.f64 (-.f64 x (/.f64 (log.f64 y) (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1))) (taylor -inf x) (#s(alt (+.f64 (-.f64 x (/.f64 (log.f64 y) (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) y) (patch (+.f64 (-.f64 x (/.f64 (log.f64 y) (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) y) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
48.0ms
y
@-inf
((/ (log y) (pow (pow (+ 1/2 y) -1/2) 2)) (pow (pow (+ 1/2 y) -1/2) 2) (- x (/ (log y) (pow (pow (+ 1/2 y) -1/2) 2))) (- (+ (- x (/ (log y) (pow (pow (+ 1/2 y) -1/2) 2))) y) z) (/ (* (neg z) z) z) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (* (neg z) z) (neg z) (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (- y (* (log y) y)) (* (log y) y) (log y) (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (+ (* (log y) (- -1/2 y)) (+ y x)) (- -1/2 y) (+ (* (+ (* y y) -1/4) (* (pow (- y 1/2) -1) (neg (log y)))) (+ x (- y z))) (+ (* y y) -1/4) (* y y) (* (pow (- y 1/2) -1) (neg (log y))) (+ (- x (/ (log y) (pow (pow (+ 1/2 y) -1/2) 2))) y) (pow (+ 1/2 y) -1/2) (+ y x) (/ (neg (log y)) y))
18.0ms
y
@inf
((/ (log y) (pow (pow (+ 1/2 y) -1/2) 2)) (pow (pow (+ 1/2 y) -1/2) 2) (- x (/ (log y) (pow (pow (+ 1/2 y) -1/2) 2))) (- (+ (- x (/ (log y) (pow (pow (+ 1/2 y) -1/2) 2))) y) z) (/ (* (neg z) z) z) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (* (neg z) z) (neg z) (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (- y (* (log y) y)) (* (log y) y) (log y) (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (+ (* (log y) (- -1/2 y)) (+ y x)) (- -1/2 y) (+ (* (+ (* y y) -1/4) (* (pow (- y 1/2) -1) (neg (log y)))) (+ x (- y z))) (+ (* y y) -1/4) (* y y) (* (pow (- y 1/2) -1) (neg (log y))) (+ (- x (/ (log y) (pow (pow (+ 1/2 y) -1/2) 2))) y) (pow (+ 1/2 y) -1/2) (+ y x) (/ (neg (log y)) y))
11.0ms
y
@0
((/ (log y) (pow (pow (+ 1/2 y) -1/2) 2)) (pow (pow (+ 1/2 y) -1/2) 2) (- x (/ (log y) (pow (pow (+ 1/2 y) -1/2) 2))) (- (+ (- x (/ (log y) (pow (pow (+ 1/2 y) -1/2) 2))) y) z) (/ (* (neg z) z) z) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (* (neg z) z) (neg z) (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (- y (* (log y) y)) (* (log y) y) (log y) (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (+ (* (log y) (- -1/2 y)) (+ y x)) (- -1/2 y) (+ (* (+ (* y y) -1/4) (* (pow (- y 1/2) -1) (neg (log y)))) (+ x (- y z))) (+ (* y y) -1/4) (* y y) (* (pow (- y 1/2) -1) (neg (log y))) (+ (- x (/ (log y) (pow (pow (+ 1/2 y) -1/2) 2))) y) (pow (+ 1/2 y) -1/2) (+ y x) (/ (neg (log y)) y))
3.0ms
z
@0
((/ (log y) (pow (pow (+ 1/2 y) -1/2) 2)) (pow (pow (+ 1/2 y) -1/2) 2) (- x (/ (log y) (pow (pow (+ 1/2 y) -1/2) 2))) (- (+ (- x (/ (log y) (pow (pow (+ 1/2 y) -1/2) 2))) y) z) (/ (* (neg z) z) z) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (* (neg z) z) (neg z) (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (- y (* (log y) y)) (* (log y) y) (log y) (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (+ (* (log y) (- -1/2 y)) (+ y x)) (- -1/2 y) (+ (* (+ (* y y) -1/4) (* (pow (- y 1/2) -1) (neg (log y)))) (+ x (- y z))) (+ (* y y) -1/4) (* y y) (* (pow (- y 1/2) -1) (neg (log y))) (+ (- x (/ (log y) (pow (pow (+ 1/2 y) -1/2) 2))) y) (pow (+ 1/2 y) -1/2) (+ y x) (/ (neg (log y)) y))
2.0ms
z
@inf
((/ (log y) (pow (pow (+ 1/2 y) -1/2) 2)) (pow (pow (+ 1/2 y) -1/2) 2) (- x (/ (log y) (pow (pow (+ 1/2 y) -1/2) 2))) (- (+ (- x (/ (log y) (pow (pow (+ 1/2 y) -1/2) 2))) y) z) (/ (* (neg z) z) z) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (* (neg z) z) (neg z) (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (- y (* (log y) y)) (* (log y) y) (log y) (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (+ (* (log y) (- -1/2 y)) (+ y x)) (- -1/2 y) (+ (* (+ (* y y) -1/4) (* (pow (- y 1/2) -1) (neg (log y)))) (+ x (- y z))) (+ (* y y) -1/4) (* y y) (* (pow (- y 1/2) -1) (neg (log y))) (+ (- x (/ (log y) (pow (pow (+ 1/2 y) -1/2) 2))) y) (pow (+ 1/2 y) -1/2) (+ y x) (/ (neg (log y)) y))

simplify225.0ms (2.5%)

Memory
-22.1MiB live, 293.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04395427
113704975
240864754
085444438
Stop Event
iter limit
node limit
Counts
444 → 422
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)
(* -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)
(+ 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))))))
(+ x (+ y (* -1 (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2)))))
(+ x (+ y (+ (* -1 z) (* -1 (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2))))))
(+ x (+ y (+ (* -1 z) (* -1 (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2))))))
(+ x (+ y (+ (* -1 z) (* -1 (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2))))))
(* -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)
(* -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)
(* -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))
(* -1 z)
(* z (- (+ (* -1 (/ (* (log y) (- (pow y 2) 1/4)) (* z (- y 1/2)))) (+ (/ x z) (/ y z))) 1))
(* z (- (+ (* -1 (/ (* (log y) (- (pow y 2) 1/4)) (* z (- y 1/2)))) (+ (/ x z) (/ y z))) 1))
(* z (- (+ (* -1 (/ (* (log y) (- (pow y 2) 1/4)) (* z (- y 1/2)))) (+ (/ x z) (/ y z))) 1))
(* -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 (pow z 2))
(* -1 (pow z 2))
(* -1 (pow z 2))
(* -1 (pow z 2))
(* -1 z)
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(* -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)))))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ (+ x (+ y (* -1 (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2))))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ x (+ y (* -1 (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2))))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ x (+ y (* -1 (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2))))) z)))))
(* 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)))
2
(+ 2 (* -4 y))
(+ 2 (* y (- (* 8 y) 4)))
(+ 2 (* y (- (* y (+ 8 (* -16 y))) 4)))
(- 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)))
(* y (log y))
(* y (log y))
(* y (log y))
(* y (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)
(+ 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))))))
-1/2
(- (* -1 y) 1/2)
(- (* -1 y) 1/2)
(- (* -1 y) 1/2)
(- (+ 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)
-1/4
(- (pow y 2) 1/4)
(- (pow y 2) 1/4)
(- (pow y 2) 1/4)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(* 2 (log y))
(+ (* 2 (log y)) (* 4 (* y (log y))))
(+ (* 2 (log y)) (* y (+ (* 4 (log y)) (* 8 (* y (log y))))))
(+ (* 2 (log y)) (* y (+ (* 4 (log y)) (* y (+ (* 8 (log y)) (* 16 (* y (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)))
(sqrt 2)
(+ (sqrt 2) (* -2 (/ y (sqrt 2))))
(+ (sqrt 2) (* y (- (* 1/2 (/ (* y (- 8 (* 4 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))) (* 2 (/ 1 (sqrt 2))))))
(+ (sqrt 2) (* y (- (* y (+ (* -1/2 (/ (* y (+ 16 (* -2 (/ (- 8 (* 4 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ (- 8 (* 4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))))) (* 2 (/ 1 (sqrt 2))))))
x
(+ x y)
(+ x y)
(+ x y)
(* -1 (/ (log y) y))
(* -1 (/ (log y) y))
(* -1 (/ (log y) y))
(* -1 (/ (log 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)
(/ (- 1 (* 1/2 (/ 1 y))) y)
(/ (- (+ 1 (/ 1/4 (pow y 2))) (* 1/2 (/ 1 y))) y)
(/ (- (+ 1 (/ 1/4 (pow y 2))) (+ (* 1/2 (/ 1 y)) (* 1/8 (/ 1 (pow y 3))))) 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)))))
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(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y)))))
(* y (- 1 (* -1 (log (/ 1 y)))))
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(* 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 (* y (log (/ 1 y))))
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(* -1 (log (/ 1 y)))
(* -1 (log (/ 1 y)))
(* -1 (log (/ 1 y)))
(* -1 (log (/ 1 y)))
(* y (+ 1 (log (/ 1 y))))
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(* 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)
(* -1 (* y (+ 1 (* 1/2 (/ 1 y)))))
(* -1 (* y (+ 1 (* 1/2 (/ 1 y)))))
(* -1 (* y (+ 1 (* 1/2 (/ 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)))
(pow y 2)
(* (pow y 2) (- 1 (* 1/4 (/ 1 (pow y 2)))))
(* (pow y 2) (- 1 (* 1/4 (/ 1 (pow y 2)))))
(* (pow y 2) (- 1 (* 1/4 (/ 1 (pow y 2)))))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(/ (log (/ 1 y)) y)
(/ (+ (log (/ 1 y)) (* 1/2 (/ (log (/ 1 y)) y))) y)
(/ (+ (log (/ 1 y)) (+ (* 1/4 (/ (log (/ 1 y)) (pow y 2))) (* 1/2 (/ (log (/ 1 y)) y)))) y)
(/ (+ (log (/ 1 y)) (+ (* 1/8 (/ (log (/ 1 y)) (pow y 3))) (+ (* 1/4 (/ (log (/ 1 y)) (pow y 2))) (* 1/2 (/ (log (/ 1 y)) y))))) y)
(* y (- 1 (* -1 (log (/ 1 y)))))
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(+ (sqrt (/ 1 y)) (+ (* -1/4 (sqrt (/ 1 (pow y 3)))) (* 1/8 (sqrt (/ 1 (pow y 5))))))
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y
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(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)))))
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(* -1 (/ (+ (log -1) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)) (* -1/4 (+ (log -1) (* -1 (log (/ -1 y)))))) y)) (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)))) y))
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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)))
(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)))
(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)))
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 (+.f64 y x) z))
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(- (+ 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)))
(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)))
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 (+.f64 y x) z))
(* -1 (pow z 2))
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(* -1 (pow z 2))
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(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))
(+ 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))))))
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(+ x (+ y (* -1 (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2)))))
(-.f64 (+.f64 y x) (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64))))
(+ x (+ y (+ (* -1 z) (* -1 (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2))))))
(-.f64 (+.f64 y x) (fma.f64 (/.f64 (fma.f64 y y #s(literal -1/4 binary64)) (-.f64 y #s(literal 1/2 binary64))) (log.f64 y) z))
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(+ x (+ y (+ (* -1 z) (* -1 (/ (* (log y) (- (pow y 2) 1/4)) (- y 1/2))))))
(-.f64 (+.f64 y x) (fma.f64 (/.f64 (fma.f64 y y #s(literal -1/4 binary64)) (-.f64 y #s(literal 1/2 binary64))) (log.f64 y) z))
(* -1 z)
(neg.f64 z)
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))
(fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) z) (log.f64 y) (+.f64 (/.f64 y z) (/.f64 x z))) z (neg.f64 z))
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))
(fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) z) (log.f64 y) (+.f64 (/.f64 y z) (/.f64 x z))) z (neg.f64 z))
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))
(fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) z) (log.f64 y) (+.f64 (/.f64 y z) (/.f64 x z))) z (neg.f64 z))
(* -1 z)
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(fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) z) (log.f64 y) (+.f64 (/.f64 y z) (/.f64 x z))) z (neg.f64 z))
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))
(fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) z) (log.f64 y) (+.f64 (/.f64 y z) (/.f64 x z))) z (neg.f64 z))
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(fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) z) (log.f64 y) (+.f64 (/.f64 y z) (/.f64 x z))) z (neg.f64 z))
(* -1 (pow z 2))
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(* -1 (pow z 2))
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rewrite351.0ms (3.8%)

Memory
17.9MiB live, 263.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055233
080212
1414201
23662194
09274191
Stop Event
iter limit
node limit
iter limit
Counts
23 → 644
Calls
Call 1
Inputs
(/.f64 (log.f64 y) (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))
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(/.f64 (*.f64 (neg.f64 z) z) z)
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 z) z) z))
(*.f64 (neg.f64 z) z)
(neg.f64 z)
#s(approx (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (-.f64 y (*.f64 (log.f64 y) y)))
(-.f64 y (*.f64 (log.f64 y) y))
(*.f64 (log.f64 y) y)
(log.f64 y)
#s(approx (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (+.f64 y x)))
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (+.f64 y x))
(-.f64 #s(literal -1/2 binary64) y)
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#s(approx (+ (* y y) -1/4) (*.f64 y y))
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#s(approx (* (pow (- y 1/2) -1) (neg (log y))) (/.f64 (neg.f64 (log.f64 y)) y))
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Outputs
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eval216.0ms (2.4%)

Memory
-22.0MiB live, 428.1MiB allocated
Compiler

Compiled 22 814 to 2 710 computations (88.1% saved)

prune58.0ms (0.6%)

Memory
-16.7MiB live, 145.7MiB allocated
Pruning

27 alts after pruning (21 fresh and 6 done)

PrunedKeptTotal
New1 11161 117
Fresh21517
Picked145
Done123
Total1 115271 142
Accuracy
100.0%
Counts
1 142 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
60.6%
(fma.f64 #s(approx (+ (* y y) -1/4) (*.f64 y y)) #s(approx (* (pow (- y 1/2) -1) (neg (log y))) (/.f64 (neg.f64 (log.f64 y)) y)) (+.f64 x (-.f64 y z)))
59.2%
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- -1/2 y) (log y)) x) (*.f64 (neg.f64 y) (log.f64 y))))) y) z)
59.1%
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) x)) (/.f64 (/.f64 #s(literal -1 binary64) (log.f64 y)) y))) y) z)
58.4%
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) x)) (/.f64 #s(literal 1 binary64) x))) y) z)
99.4%
(-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/4 binary64)) #s(literal 4 binary64)))) y) z)
99.5%
(-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) y) z)
72.0%
(-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) #s(approx (/ 1 (+ 1/2 y)) (fma.f64 #s(literal -4 binary64) y #s(literal 2 binary64))))) y) z)
85.6%
(-.f64 (+.f64 #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (fma.f64 (/.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) x) x x)) y) z)
85.5%
(-.f64 (+.f64 #s(approx (- x (/ (log y) (pow (pow (+ 1/2 y) -1/2) 2))) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64)) x)) y) z)
72.9%
(-.f64 #s(approx (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)) z)
59.2%
(-.f64 #s(approx (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) (-.f64 y (*.f64 (log.f64 y) y))) z)
46.5%
(-.f64 #s(approx (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) y) #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))) z)
29.1%
#s(approx (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (fma.f64 (neg.f64 (log.f64 y)) y y))
55.0%
#s(approx (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (fma.f64 (log.f64 y) #s(approx (- -1/2 y) (neg.f64 y)) (+.f64 y x)))
29.1%
#s(approx (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (-.f64 y (*.f64 (log.f64 y) y)))
42.0%
#s(approx (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) #s(approx (+ (* (log y) (- -1/2 y)) (+ y x)) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y)))
41.2%
#s(approx (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) #s(approx (+ (* (log y) (- -1/2 y)) (+ y x)) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)))
47.8%
#s(approx (- (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) y) z) (-.f64 (+.f64 y x) (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64)))))
7.1%
#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)))
6.3%
#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 z (*.f64 z z)))))
9.0%
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 z) z) z))
52.1%
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y (fma.f64 (fma.f64 y y #s(literal -1/4 binary64)) (/.f64 (log.f64 y) (-.f64 y #s(literal 1/2 binary64))) z)))
45.5%
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y (fma.f64 #s(approx (+ 1/2 y) #s(literal 1/2 binary64)) (log.f64 y) z)))
65.1%
#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))))
81.6%
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) 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))
32.7%
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z))
65.6%
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (neg.f64 (fma.f64 (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) (neg.f64 y)) z) z z))))
Compiler

Compiled 991 to 514 computations (48.1% saved)

regimes82.0ms (0.9%)

Memory
5.0MiB live, 161.8MiB allocated
Counts
52 → 1
Calls
Call 1
Inputs
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 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 #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 (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 #s(literal 1 binary64) (/.f64 z (*.f64 z z)))))
#s(approx (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) #s(approx (+ (* (log y) (- -1/2 y)) (+ y x)) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) (neg.f64 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 (- (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y))
#s(approx (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (-.f64 y (*.f64 (log.f64 y) y)))
#s(approx (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (fma.f64 (neg.f64 (log.f64 y)) y y))
(-.f64 #s(approx (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) 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) (-.f64 y (fma.f64 #s(approx (+ 1/2 y) #s(literal 1/2 binary64)) (log.f64 y) z)))
#s(approx (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) #s(approx (+ (* (log y) (- -1/2 y)) (+ y x)) (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)
(-.f64 #s(approx (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) 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)))))
#s(approx (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (fma.f64 (log.f64 y) #s(approx (- -1/2 y) (neg.f64 y)) (+.f64 y x)))
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) z)
(-.f64 #s(approx (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) 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 y (*.f64 (log.f64 y) 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)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)))
#s(approx (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (+.f64 y x)))
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y)) z)
(-.f64 #s(approx (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)) z)
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)
(-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) #s(approx (/ 1 (+ 1/2 y)) (fma.f64 #s(literal -4 binary64) y #s(literal 2 binary64))))) y) 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))))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y (fma.f64 (fma.f64 y y #s(literal -1/4 binary64)) (/.f64 (log.f64 y) (-.f64 y #s(literal 1/2 binary64))) z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (neg.f64 (fma.f64 (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) (neg.f64 y)) z) z z))))
(fma.f64 #s(approx (+ (* y y) -1/4) (*.f64 y y)) #s(approx (* (pow (- y 1/2) -1) (neg (log y))) (/.f64 (neg.f64 (log.f64 y)) y)) (+.f64 x (-.f64 y z)))
#s(approx (- (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) y) z) (-.f64 (+.f64 y x) (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64)))))
(-.f64 (+.f64 #s(approx (- x (/ (log y) (pow (pow (+ 1/2 y) -1/2) 2))) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) y) x) (log.f64 y) #s(literal 1 binary64)) x)) y) z)
(-.f64 (+.f64 #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) (fma.f64 (/.f64 (*.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y)) x) x x)) y) z)
(fma.f64 (fma.f64 y y #s(literal -1/4 binary64)) #s(approx (* (pow (- y 1/2) -1) (neg (log y))) (/.f64 (neg.f64 (log.f64 y)) y)) (+.f64 x (-.f64 y z)))
(-.f64 (+.f64 (-.f64 x (*.f64 (/.f64 (fma.f64 y y #s(literal -1/4 binary64)) (-.f64 y #s(literal 1/2 binary64))) (log.f64 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 x (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (-.f64 y #s(literal 1/2 binary64)))) 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 y) (log.f64 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 (+.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) x)) (/.f64 (/.f64 #s(literal -1 binary64) (log.f64 y)) y))) y) z)
(-.f64 (+.f64 (-.f64 x (*.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) y))) (log.f64 y))) y) z)
(-.f64 (+.f64 #s(approx (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) (fma.f64 (neg.f64 x) (/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (log.f64 y)) (*.f64 (-.f64 y #s(literal 1/2 binary64)) x)) x)) y) z)
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) 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))
(fma.f64 (fma.f64 y y #s(literal -1/4 binary64)) (*.f64 (pow.f64 (-.f64 y #s(literal 1/2 binary64)) #s(literal -1 binary64)) (neg.f64 (log.f64 y))) (+.f64 x (-.f64 y z)))
(-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) y) z)
(-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) (pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) y) #s(literal -1/4 binary64)) #s(literal 4 binary64)))) y) z)
(fma.f64 (fma.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y) x) (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x) (pow.f64 (fma.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y) x) #s(literal -1 binary64))) (-.f64 y z))
(fma.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x y)) (*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 x y)) (pow.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 x y)) #s(literal -1 binary64))) (neg.f64 z))
Outputs
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)
Calls

5 calls:

17.0ms
x
16.0ms
y
16.0ms
(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)
16.0ms
z
14.0ms
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)
Results
AccuracySegmentsBranch
99.8%1x
99.8%1y
99.8%1z
99.8%1(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)
99.8%1(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)
Compiler

Compiled 25 to 28 computations (-12% saved)

regimes47.0ms (0.5%)

Memory
26.2MiB live, 143.3MiB allocated
Counts
28 → 3
Calls
Call 1
Inputs
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 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 #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 (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 #s(literal 1 binary64) (/.f64 z (*.f64 z z)))))
#s(approx (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) #s(approx (+ (* (log y) (- -1/2 y)) (+ y x)) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) (neg.f64 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 (- (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y))
#s(approx (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (-.f64 y (*.f64 (log.f64 y) y)))
#s(approx (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (fma.f64 (neg.f64 (log.f64 y)) y y))
(-.f64 #s(approx (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) 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) (-.f64 y (fma.f64 #s(approx (+ 1/2 y) #s(literal 1/2 binary64)) (log.f64 y) z)))
#s(approx (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) #s(approx (+ (* (log y) (- -1/2 y)) (+ y x)) (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)
(-.f64 #s(approx (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) 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)))))
#s(approx (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (fma.f64 (log.f64 y) #s(approx (- -1/2 y) (neg.f64 y)) (+.f64 y x)))
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) z)
(-.f64 #s(approx (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) 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 y (*.f64 (log.f64 y) 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)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)))
#s(approx (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (+.f64 y x)))
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y)) z)
(-.f64 #s(approx (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) 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) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y)) z)
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z)
Calls

5 calls:

10.0ms
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)
10.0ms
z
9.0ms
y
8.0ms
x
8.0ms
(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)
Results
AccuracySegmentsBranch
94.1%3x
89.7%2y
93.8%3z
87.0%2(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)
91.6%3(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)
Compiler

Compiled 25 to 28 computations (-12% saved)

regimes11.0ms (0.1%)

Memory
-13.8MiB live, 29.2MiB allocated
Counts
26 → 3
Calls
Call 1
Inputs
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 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 #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 (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 #s(literal 1 binary64) (/.f64 z (*.f64 z z)))))
#s(approx (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) #s(approx (+ (* (log y) (- -1/2 y)) (+ y x)) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) (neg.f64 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 (- (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y))
#s(approx (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (-.f64 y (*.f64 (log.f64 y) y)))
#s(approx (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (fma.f64 (neg.f64 (log.f64 y)) y y))
(-.f64 #s(approx (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) 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) (-.f64 y (fma.f64 #s(approx (+ 1/2 y) #s(literal 1/2 binary64)) (log.f64 y) z)))
#s(approx (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) #s(approx (+ (* (log y) (- -1/2 y)) (+ y x)) (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)
(-.f64 #s(approx (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) 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)))))
#s(approx (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (fma.f64 (log.f64 y) #s(approx (- -1/2 y) (neg.f64 y)) (+.f64 y x)))
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) z)
(-.f64 #s(approx (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) 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 y (*.f64 (log.f64 y) 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)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)))
#s(approx (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (+.f64 y x)))
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) (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)))
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z)
Calls

1 calls:

10.0ms
x
Results
AccuracySegmentsBranch
94.1%3x
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes33.0ms (0.4%)

Memory
-12.6MiB live, 65.3MiB allocated
Counts
23 → 2
Calls
Call 1
Inputs
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 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 #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 (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 #s(literal 1 binary64) (/.f64 z (*.f64 z z)))))
#s(approx (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) #s(approx (+ (* (log y) (- -1/2 y)) (+ y x)) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) (neg.f64 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 (- (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y))
#s(approx (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (-.f64 y (*.f64 (log.f64 y) y)))
#s(approx (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (fma.f64 (neg.f64 (log.f64 y)) y y))
(-.f64 #s(approx (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) 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) (-.f64 y (fma.f64 #s(approx (+ 1/2 y) #s(literal 1/2 binary64)) (log.f64 y) z)))
#s(approx (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) #s(approx (+ (* (log y) (- -1/2 y)) (+ y x)) (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)
(-.f64 #s(approx (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) 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)))))
#s(approx (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (fma.f64 (log.f64 y) #s(approx (- -1/2 y) (neg.f64 y)) (+.f64 y x)))
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) z)
(-.f64 #s(approx (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) 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 y (*.f64 (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

4 calls:

9.0ms
y
8.0ms
z
7.0ms
x
7.0ms
(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)
Results
AccuracySegmentsBranch
89.7%2y
91.1%3(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)
83.7%4z
80.8%3x
Compiler

Compiled 13 to 18 computations (-38.5% saved)

regimes14.0ms (0.1%)

Memory
28.2MiB live, 28.2MiB allocated
Counts
20 → 2
Calls
Call 1
Inputs
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 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 #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 (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 #s(literal 1 binary64) (/.f64 z (*.f64 z z)))))
#s(approx (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) #s(approx (+ (* (log y) (- -1/2 y)) (+ y x)) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) (neg.f64 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 (- (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y))
#s(approx (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (-.f64 y (*.f64 (log.f64 y) y)))
#s(approx (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (fma.f64 (neg.f64 (log.f64 y)) y y))
(-.f64 #s(approx (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) 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) (-.f64 y (fma.f64 #s(approx (+ 1/2 y) #s(literal 1/2 binary64)) (log.f64 y) z)))
#s(approx (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) #s(approx (+ (* (log y) (- -1/2 y)) (+ y x)) (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)
(-.f64 #s(approx (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) 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)))))
#s(approx (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (fma.f64 (log.f64 y) #s(approx (- -1/2 y) (neg.f64 y)) (+.f64 y x)))
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 (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (fma.f64 (log.f64 y) #s(approx (- -1/2 y) (neg.f64 y)) (+.f64 y x)))
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
85.8%2(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)
87.6%2y
Compiler

Compiled 11 to 12 computations (-9.1% saved)

regimes22.0ms (0.2%)

Memory
5.4MiB live, 43.5MiB allocated
Counts
19 → 2
Calls
Call 1
Inputs
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 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 #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 (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 #s(literal 1 binary64) (/.f64 z (*.f64 z z)))))
#s(approx (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) #s(approx (+ (* (log y) (- -1/2 y)) (+ y x)) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) (neg.f64 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 (- (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y))
#s(approx (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (-.f64 y (*.f64 (log.f64 y) y)))
#s(approx (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (fma.f64 (neg.f64 (log.f64 y)) y y))
(-.f64 #s(approx (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) 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) (-.f64 y (fma.f64 #s(approx (+ 1/2 y) #s(literal 1/2 binary64)) (log.f64 y) z)))
#s(approx (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) #s(approx (+ (* (log y) (- -1/2 y)) (+ y x)) (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)
(-.f64 #s(approx (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) 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) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y))
Calls

3 calls:

8.0ms
y
6.0ms
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)
6.0ms
(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)
Results
AccuracySegmentsBranch
79.5%2(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)
72.9%1(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)
84.8%2y
Compiler

Compiled 23 to 22 computations (4.3% saved)

regimes31.0ms (0.3%)

Memory
-35.1MiB live, 49.3MiB allocated
Counts
16 → 4
Calls
Call 1
Inputs
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 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 #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 (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 #s(literal 1 binary64) (/.f64 z (*.f64 z z)))))
#s(approx (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) #s(approx (+ (* (log y) (- -1/2 y)) (+ y x)) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) (neg.f64 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 (- (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y))
#s(approx (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (-.f64 y (*.f64 (log.f64 y) y)))
#s(approx (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (fma.f64 (neg.f64 (log.f64 y)) y y))
(-.f64 #s(approx (+ (- x (/ (* (+ (* y y) -1/4) (log y)) (- y 1/2))) 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) (-.f64 y (fma.f64 #s(approx (+ 1/2 y) #s(literal 1/2 binary64)) (log.f64 y) z)))
#s(approx (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) #s(approx (+ (* (log y) (- -1/2 y)) (+ y x)) (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 (/.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) #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) (neg.f64 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)
Calls

4 calls:

8.0ms
x
5.0ms
(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)
5.0ms
y
5.0ms
z
Results
AccuracySegmentsBranch
76.7%4x
78.7%4(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)
74.7%4z
70.9%2y
Compiler

Compiled 13 to 18 computations (-38.5% saved)

regimes19.0ms (0.2%)

Memory
3.9MiB live, 42.5MiB allocated
Counts
8 → 3
Calls
Call 1
Inputs
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 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 #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 (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 #s(literal 1 binary64) (/.f64 z (*.f64 z z)))))
#s(approx (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) #s(approx (+ (* (log y) (- -1/2 y)) (+ y x)) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) (neg.f64 z))))
Outputs
(-.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) #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) (neg.f64 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)
Calls

5 calls:

5.0ms
z
3.0ms
(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)
3.0ms
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)
3.0ms
y
3.0ms
x
Results
AccuracySegmentsBranch
58.4%1y
71.6%3z
72.5%3x
71.6%3(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)
71.6%3(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)
Compiler

Compiled 25 to 28 computations (-12% saved)

regimes7.0ms (0.1%)

Memory
18.9MiB live, 18.9MiB allocated
Counts
7 → 3
Calls
Call 1
Inputs
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 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 #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 (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 #s(literal 1 binary64) (/.f64 z (*.f64 z z)))))
#s(approx (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) #s(approx (+ (* (log y) (- -1/2 y)) (+ y x)) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)))
Outputs
(-.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 (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) #s(approx (+ (* (log y) (- -1/2 y)) (+ y x)) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)))
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) x)) (/.f64 #s(literal 1 binary64) x))) y) z)
Calls

2 calls:

3.0ms
x
3.0ms
z
Results
AccuracySegmentsBranch
71.6%3z
58.4%1x
Compiler

Compiled 2 to 6 computations (-200% saved)

regimes11.0ms (0.1%)

Memory
-14.5MiB live, 23.3MiB allocated
Counts
6 → 1
Calls
Call 1
Inputs
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 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 #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 (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 #s(literal 1 binary64) (/.f64 z (*.f64 z z)))))
Outputs
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) x)) (/.f64 #s(literal 1 binary64) x))) y) z)
Calls

3 calls:

5.0ms
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)
3.0ms
z
3.0ms
(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)
Results
AccuracySegmentsBranch
58.4%1(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)
58.4%1(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)
58.4%1z
Compiler

Compiled 23 to 22 computations (4.3% saved)

regimes10.0ms (0.1%)

Memory
22.7MiB live, 22.7MiB allocated
Accuracy

Total -15.2b remaining (-35.2%)

Threshold costs -15.2b (-35.2%)

Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 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 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)))
Outputs
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z))
Calls

5 calls:

2.0ms
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)
2.0ms
(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)
2.0ms
y
2.0ms
x
2.0ms
z
Results
AccuracySegmentsBranch
32.7%1z
32.7%1x
32.7%1y
32.7%1(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)
32.7%1(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)
Compiler

Compiled 25 to 28 computations (-12% saved)

bsearch27.0ms (0.3%)

Memory
-36.4MiB live, 47.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
8.0ms
8.698622211093174e+53
3.4637891463982586e+54
15.0ms
-3.052839865680517e+25
-1.1623442373849134e+21
Samples
13.0ms208×0valid
Compiler

Compiled 249 to 263 computations (-5.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-log: 3.0ms (36.9% of total)
ival-sub: 2.0ms (24.6% of total)
ival-add: 2.0ms (24.6% of total)
ival-mult: 1.0ms (12.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
3.5MiB live, 3.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
8.698622211093174e+53
3.4637891463982586e+54
1.0ms
-3.052839865680517e+25
-1.1623442373849134e+21
Compiler

Compiled 249 to 263 computations (-5.6% saved)

bsearch13.0ms (0.1%)

Memory
20.8MiB live, 20.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
11.0ms
2.6627562095970592e+76
8.989584425040468e+77
Samples
7.0ms112×0valid
Compiler

Compiled 134 to 149 computations (-11.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-sub: 1.0ms (22.9% of total)
ival-log: 1.0ms (22.9% of total)
ival-add: 1.0ms (22.9% of total)
ival-mult: 1.0ms (22.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch16.0ms (0.2%)

Memory
-20.1MiB live, 17.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
14.0ms
1.956354754014673e+169
3.182054739452732e+170
Samples
10.0ms112×0valid
Compiler

Compiled 141 to 149 computations (-5.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-sub: 1.0ms (23.6% of total)
ival-log: 1.0ms (23.6% of total)
ival-add: 1.0ms (23.6% of total)
ival-mult: 1.0ms (23.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch8.0ms (0.1%)

Memory
11.8MiB live, 11.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
7.0ms
1.7668168279908886e+187
3.038344975889972e+187
Samples
4.0ms64×0valid
Compiler

Compiled 75 to 88 computations (-17.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-sub: 1.0ms (40.4% of total)
ival-log: 1.0ms (40.4% of total)
ival-add: 1.0ms (40.4% of total)
ival-true: 0.0ms (0% of total)
ival-mult: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
354.0075124310286
1983826406.3806682
0.0ms
-3.052839865680517e+25
-2.1314506370176827e+25
0.0ms
-5.1382346743323565e+225
-2.798564717866912e+224
Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch32.0ms (0.3%)

Memory
7.4MiB live, 44.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
17.0ms
22865612540415456.0
2.5171495234204493e+20
12.0ms
-3.052839865680517e+25
-1.1623442373849134e+21
Samples
16.0ms240×0valid
Compiler

Compiled 303 to 336 computations (-10.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-log: 3.0ms (30.8% of total)
ival-add: 3.0ms (30.8% of total)
ival-sub: 2.0ms (20.5% of total)
ival-mult: 2.0ms (20.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch29.0ms (0.3%)

Memory
-9.2MiB live, 31.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
16.0ms
1042745382.151288
239993705823.40262
10.0ms
-906463868366.8315
-191870155962.35062
Samples
18.0ms208×0valid
Compiler

Compiled 236 to 263 computations (-11.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-log: 3.0ms (36% of total)
ival-sub: 2.0ms (24% of total)
ival-add: 2.0ms (24% of total)
ival-mult: 1.0ms (12% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify42.0ms (0.5%)

Memory
-1.5MiB live, 36.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0103597
1132597
2160597
3174597
4180597
5181597
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)
(if (<=.f64 x #s(literal -499999999999999991611392 binary64)) (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) (if (<=.f64 x #s(literal 2600000000000000067445058283574848604644093806996619264 binary64)) (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y)) z) (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z)))
(if (<=.f64 x #s(literal -499999999999999991611392 binary64)) (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) (if (<=.f64 x #s(literal 2600000000000000067445058283574848604644093806996619264 binary64)) #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 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z)))
(if (<=.f64 y #s(literal 389999999999999976573063302669385975679810054036570934229591833508418013888512 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 23499999999999998864715626427166061577429111280045482171104963217743258251301980835508898105800722783575063850808647369988671017443642189821876112750317933337169578950656 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 (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (fma.f64 (log.f64 y) #s(approx (- -1/2 y) (neg.f64 y)) (+.f64 y x))))
(if (<=.f64 y #s(literal 18999999999999999975024231989188558066224699360343804917309447420169801765041465914267177065743813516761613333496203554239750688369320335346835125291261594839379556381436387482782668947456 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) (*.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 -4999999999999999806650364166569307079328006902236455361130094053449438966813366112409962773319310362938839305792582281514490199870276609421048348021393177515819351843764207529142392373556426924143927678468362216346247556497408 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 -30000000000000000570425344 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) x)) (/.f64 #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 500 binary64)) #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) (neg.f64 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))))
(if (<=.f64 x #s(literal -1200000000000000000000 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) x)) (/.f64 #s(literal 1 binary64) x))) y) z) (if (<=.f64 x #s(literal 23000000000000000 binary64)) #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) (neg.f64 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)))
(if (<=.f64 z #s(literal -195000000000 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) x)) (/.f64 #s(literal 1 binary64) x))) y) z) (if (<=.f64 z #s(literal 1050000000 binary64)) #s(approx (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) #s(approx (+ (* (log y) (- -1/2 y)) (+ y x)) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x))) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) x)) (/.f64 #s(literal 1 binary64) x))) y) 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) (neg.f64 z))
Outputs
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)
(-.f64 (+.f64 (-.f64 x (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y))) y) z)
(if (<=.f64 x #s(literal -499999999999999991611392 binary64)) (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) (if (<=.f64 x #s(literal 2600000000000000067445058283574848604644093806996619264 binary64)) (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y)) z) (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z)))
(if (<=.f64 x #s(literal -499999999999999991611392 binary64)) (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) (if (<=.f64 x #s(literal 2600000000000000067445058283574848604644093806996619264 binary64)) #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 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z)))
(if (<=.f64 y #s(literal 389999999999999976573063302669385975679810054036570934229591833508418013888512 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 23499999999999998864715626427166061577429111280045482171104963217743258251301980835508898105800722783575063850808647369988671017443642189821876112750317933337169578950656 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 (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) (fma.f64 (log.f64 y) #s(approx (- -1/2 y) (neg.f64 y)) (+.f64 y x))))
(if (<=.f64 y #s(literal 18999999999999999975024231989188558066224699360343804917309447420169801765041465914267177065743813516761613333496203554239750688369320335346835125291261594839379556381436387482782668947456 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) (*.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 -4999999999999999806650364166569307079328006902236455361130094053449438966813366112409962773319310362938839305792582281514490199870276609421048348021393177515819351843764207529142392373556426924143927678468362216346247556497408 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 -30000000000000000570425344 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) x)) (/.f64 #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 500 binary64)) #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) (neg.f64 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))))
(if (<=.f64 (+.f64 (-.f64 x (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y))) y) #s(literal -4999999999999999806650364166569307079328006902236455361130094053449438966813366112409962773319310362938839305792582281514490199870276609421048348021393177515819351843764207529142392373556426924143927678468362216346247556497408 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 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y))) y) #s(literal -30000000000000000570425344 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) x)) (/.f64 #s(literal 1 binary64) x))) y) z) (if (<=.f64 (+.f64 (-.f64 x (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y))) y) #s(literal 500 binary64)) #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) (neg.f64 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))))
(if (<=.f64 x #s(literal -1200000000000000000000 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) x)) (/.f64 #s(literal 1 binary64) x))) y) z) (if (<=.f64 x #s(literal 23000000000000000 binary64)) #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) #s(approx (- y (+ (* (+ 1/2 y) (log y)) z)) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) (neg.f64 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)))
(if (<=.f64 z #s(literal -195000000000 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) x)) (/.f64 #s(literal 1 binary64) x))) y) z) (if (<=.f64 z #s(literal 1050000000 binary64)) #s(approx (- (+ (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) x))) y) z) #s(approx (+ (* (log y) (- -1/2 y)) (+ y x)) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x))) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) x)) (/.f64 #s(literal 1 binary64) x))) y) 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) (neg.f64 z))

soundness1.1s (11.6%)

Memory
30.9MiB live, 844.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04276372
113585838
240735688
084075341
05596999
117876439
256636281
082945860
04395427
113704975
240864754
085444438
01041
01641
17941
269941
0884338
01301412
14271270
213481167
347741136
086191053
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 615 to 325 computations (47.2% saved)

preprocess135.0ms (1.5%)

Memory
-16.4MiB live, 155.4MiB allocated
Compiler

Compiled 648 to 204 computations (68.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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