Numeric.SpecFunctions:stirlingError from math-functions-0.1.5.2

Time bar (total: 8.1s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze1.0ms (0%)

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

Compiled 14 to 12 computations (14.3% saved)

sample1.5s (18.5%)

Memory
26.6MiB live, 1 338.0MiB allocated
Samples
1.1s8 253×0valid
1.0ms1valid
Precisions
Click to see histograms. Total time spent on operations: 617.0ms
ival-sub: 316.0ms (51.2% of total)
ival-log: 116.0ms (18.8% of total)
ival-add: 115.0ms (18.6% of total)
ival-mult: 55.0ms (8.9% of total)
ival-true: 7.0ms (1.1% of total)
exact: 5.0ms (0.8% of total)
ival-assert: 3.0ms (0.5% of total)
adjust: 0.0ms (0% of total)
Bogosity

explain150.0ms (1.9%)

Memory
-9.2MiB live, 219.8MiB 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
38.0ms510×0valid
0.0ms1valid
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 (33.1% of total)
ival-add: 5.0ms (23.6% of total)
ival-sub: 4.0ms (18.9% of total)
ival-mult: 3.0ms (14.2% of total)
ival-true: 1.0ms (4.7% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess274.0ms (3.4%)

Memory
-16.2MiB live, 141.5MiB allocated
Algorithm
egg-herbie
Rules
4 224×lower-fma.f64
4 224×lower-fma.f32
1 008×lower-+.f32
1 008×lower--.f32
1 004×lower-+.f64
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
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(-.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)

simplify117.0ms (1.4%)

Memory
9.2MiB live, 84.9MiB 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)))
Rules
4 224×lower-fma.f64
4 224×lower-fma.f32
1 008×lower-+.f32
1 008×lower--.f32
1 004×lower-+.f64
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

localize45.0ms (0.6%)

Memory
-15.0MiB live, 106.4MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(+.f64 y #s(literal 1/2 binary64))
accuracy0
(log.f64 y)
accuracy0.08984375
(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)
accuracy0.1328125
(*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))
Samples
38.0ms255×0valid
0.0ms1valid
Compiler

Compiled 47 to 12 computations (74.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-log: 4.0ms (35% of total)
ival-add: 3.0ms (26.3% of total)
ival-mult: 2.0ms (17.5% of total)
ival-sub: 2.0ms (17.5% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series72.0ms (0.9%)

Memory
-1.4MiB live, 117.6MiB 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>) () ())) ())
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#s(alt x (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 (* -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
25.0ms
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))
23.0ms
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))
9.0ms
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))
5.0ms
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))
2.0ms
x
@0
((- x (* (+ y 1/2) (log y))) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (- x (* (+ y 1/2) (log y))) y) (* (+ y 1/2) (log y)) (log y) (+ y 1/2))

simplify154.0ms (1.9%)

Memory
4.1MiB live, 194.2MiB allocated
Algorithm
egg-herbie
Rules
13 436×lower-fma.f64
13 436×lower-fma.f32
3 304×lower-*.f64
3 304×lower-*.f32
2 946×lower-+.f64
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)
x
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x))))
(fma.f64 (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x) x x)
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x))))
(fma.f64 (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x) x x)
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x))))
(fma.f64 (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x) x x)
x
(* x (- (+ 1 (/ y x)) (/ (* (log y) (+ 1/2 y)) x)))
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (fma.f64 (/.f64 y x) x x))
(* x (- (+ 1 (/ y x)) (/ (* (log y) (+ 1/2 y)) x)))
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (fma.f64 (/.f64 y x) x x))
(* x (- (+ 1 (/ y x)) (/ (* (log y) (+ 1/2 y)) x)))
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (fma.f64 (/.f64 y x) x x))
x
(* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1)))
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x)
(* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1)))
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x)
(* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1)))
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) x)
x
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1)))
(fma.f64 (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x) x x)
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1)))
(fma.f64 (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x) x x)
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1)))
(fma.f64 (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x) x x)
x
(* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1)))
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (fma.f64 (/.f64 y x) x x))
(* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1)))
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (fma.f64 (/.f64 y x) x x))
(* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1)))
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (fma.f64 (/.f64 y x) x x))

rewrite277.0ms (3.4%)

Memory
27.3MiB live, 219.3MiB allocated
Rules
9 014×lower-fma.f64
9 014×lower-fma.f32
5 554×lower-*.f32
5 552×lower-*.f64
4 034×lower-/.f64
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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eval143.0ms (1.8%)

Memory
6.8MiB live, 87.9MiB allocated
Compiler

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

prune60.0ms (0.7%)

Memory
1.2MiB live, 38.9MiB allocated
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New49412506
Fresh000
Picked101
Done000
Total49512507
Accuracy
100.0%
Counts
507 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
58.0%
(fma.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y) (neg.f64 y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y) x) y)) (neg.f64 z))
99.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z)))))
99.8%
(-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)))) y) z)
81.0%
(-.f64 (+.f64 (-.f64 x #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) y) z)
69.5%
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z)
56.9%
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) z)
79.8%
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x) x x))
74.5%
#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)))
74.5%
#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)))
77.4%
#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))
32.6%
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y))
26.4%
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z))
Compiler

Compiled 298 to 250 computations (16.1% saved)

simplify169.0ms (2.1%)

Memory
10.6MiB live, 49.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))
cost-diff0
(-.f64 x #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y)))
cost-diff0
(+.f64 (-.f64 x #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) y)
cost-diff0
(-.f64 (+.f64 (-.f64 x #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) y) z)
cost-diff0
(+.f64 #s(literal 1/2 binary64) y)
cost-diff0
(fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)
cost-diff0
(-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z))
cost-diff0
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)))
cost-diff0
(log.f64 y)
cost-diff0
(fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)
cost-diff0
#s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x))
cost-diff0
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z)
cost-diff0
(neg.f64 z)
cost-diff0
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z))
cost-diff0
(+.f64 (-.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)))
Rules
5 040×lower-fma.f32
5 036×lower-fma.f64
1 256×lower-+.f32
1 256×lower--.f32
1 250×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032233
050233
196225
2214222
3580222
41491222
52969222
63962222
74308222
84377222
94379222
104379222
114379222
124379222
134384222
144412222
04412218
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
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z)
#s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x))
(fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)
#s(literal -1/2 binary64)
(log.f64 y)
y
x
z
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)))
(-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z))
y
(fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)
(+.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
(log.f64 y)
z
(-.f64 (+.f64 (-.f64 x #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) y) z)
(+.f64 (-.f64 x #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) y)
(-.f64 x #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y)))
x
#s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))
(*.f64 (log.f64 y) y)
(log.f64 y)
y
z
Outputs
(-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)))) y) z)
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 (+.f64 y x) z))
(+.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
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z)
#s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x))
(fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)
#s(literal -1/2 binary64)
(log.f64 y)
y
x
z
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y) z))
(-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z))
(-.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) 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 #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) y) z)
(-.f64 (-.f64 (+.f64 y x) z) #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y)))
(+.f64 (-.f64 x #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) y)
(-.f64 (+.f64 y x) #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y)))
(-.f64 x #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y)))
x
#s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))
(*.f64 (log.f64 y) y)
(log.f64 y)
y
z

localize184.0ms (2.3%)

Memory
-3.7MiB live, 118.7MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0
(log.f64 y)
accuracy0.08984375
(+.f64 (-.f64 x #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) y)
accuracy0.265625
(*.f64 (log.f64 y) y)
accuracy31.63963032716849
#s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))
accuracy0
(log.f64 y)
accuracy0.08984375
(-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z))
accuracy0.1171875
(fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)
accuracy16.26239653054198
#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
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) 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)
accuracy24.497236056879665
#s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x))
accuracy0
(neg.f64 z)
accuracy47.120036120284325
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z))
accuracy0
(log.f64 y)
accuracy0.015625
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y))
accuracy0.08984375
(+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)))) y)
accuracy0.193691259768442
(/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)))
Samples
148.0ms255×0valid
0.0ms1valid
Compiler

Compiled 193 to 27 computations (86% saved)

Precisions
Click to see histograms. Total time spent on operations: 49.0ms
ival-div: 25.0ms (51.4% of total)
ival-add: 7.0ms (14.4% of total)
ival-mult: 6.0ms (12.3% of total)
ival-sub: 5.0ms (10.3% of total)
ival-log: 4.0ms (8.2% of total)
ival-neg: 1.0ms (2.1% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series121.0ms (1.5%)

Memory
-32.7MiB live, 88.1MiB allocated
Counts
20 → 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 (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) (patch (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) #<representation binary64>) () ())
#s(alt #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) (patch #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x) (patch (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x) #<representation binary64>) () ())
#s(alt (log.f64 y) (patch (log.f64 y) #<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 (+.f64 (-.f64 x #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) y) z) (patch (-.f64 (+.f64 (-.f64 x #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) y) z) #<representation binary64>) () ())
#s(alt (+.f64 (-.f64 x #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) y) (patch (+.f64 (-.f64 x #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) y) #<representation binary64>) () ())
#s(alt (-.f64 x #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) (patch (-.f64 x #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) #<representation binary64>) () ())
#s(alt #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y)) (patch #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)) #<representation binary64>) () ())
#s(alt (*.f64 (log.f64 y) y) (patch (*.f64 (log.f64 y) y) #<representation binary64>) () ())
Outputs
#s(alt (- (+ x y) (* (log y) (+ 1/2 y))) (taylor 0 z) (#s(alt (-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)))) y) z) (patch (-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)))) y) z) #<representation binary64>) () ())) ())
#s(alt (- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) (taylor 0 z) (#s(alt (-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)))) y) z) (patch (-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)))) y) z) #<representation binary64>) () ())) ())
#s(alt (- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) (taylor 0 z) (#s(alt (-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)))) y) z) (patch (-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)))) y) z) #<representation binary64>) () ())) ())
#s(alt (- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) (taylor 0 z) (#s(alt (-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)))) y) z) (patch (-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)))) y) z) #<representation binary64>) () ())) ())
#s(alt (- (+ x y) (* (log y) (+ 1/2 y))) (taylor 0 z) (#s(alt #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) (patch #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) (taylor 0 z) (#s(alt #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) (patch #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) (taylor 0 z) (#s(alt #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) (patch #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) (taylor 0 z) (#s(alt #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) (patch #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (- (+ x y) (* (log y) (+ 1/2 y))) (taylor 0 z) (#s(alt (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) (patch (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) #<representation binary64>) () ())) ())
#s(alt (- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) (taylor 0 z) (#s(alt (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) (patch (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) #<representation binary64>) () ())) ())
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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 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 (* -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 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 (* -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 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z))) (patch #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 (+.f64 (-.f64 x #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) y) z) (patch (-.f64 (+.f64 (-.f64 x #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) 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 #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) y) z) (patch (-.f64 (+.f64 (-.f64 x #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) 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 #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) y) z) (patch (-.f64 (+.f64 (-.f64 x #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) 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 #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) y) z) (patch (-.f64 (+.f64 (-.f64 x #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) y) z) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 (-.f64 x #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) y) (patch (+.f64 (-.f64 x #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) 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 #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) y) (patch (+.f64 (-.f64 x #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) 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 #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) y) (patch (+.f64 (-.f64 x #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) 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 #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) y) (patch (+.f64 (-.f64 x #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) y) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 x #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) (patch (-.f64 x #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) (patch (-.f64 x #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) (patch (-.f64 x #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) (patch (-.f64 x #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
42.0ms
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) (+ (- x (* (+ y 1/2) (log y))) y) (+ (* -1/2 (log y)) x) (log y) (- (+ (- 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 1/2) (log y))) y) z) (+ (- x (* (+ y 1/2) (log y))) y) (- x (* (+ y 1/2) (log y))) (* (+ y 1/2) (log y)) (/ 1 (+ 1/2 y)) (* (log y) y))
22.0ms
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) (+ (- x (* (+ y 1/2) (log y))) y) (+ (* -1/2 (log y)) x) (log y) (- (+ (- 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 1/2) (log y))) y) z) (+ (- x (* (+ y 1/2) (log y))) y) (- x (* (+ y 1/2) (log y))) (* (+ y 1/2) (log y)) (/ 1 (+ 1/2 y)) (* (log y) y))
14.0ms
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) (+ (- x (* (+ y 1/2) (log y))) y) (+ (* -1/2 (log y)) x) (log y) (- (+ (- 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 1/2) (log y))) y) z) (+ (- x (* (+ y 1/2) (log y))) y) (- x (* (+ y 1/2) (log y))) (* (+ y 1/2) (log y)) (/ 1 (+ 1/2 y)) (* (log y) y))
8.0ms
y
@-inf
((/ (log y) (/ 1 (+ 1/2 y))) (- x (/ (log y) (/ 1 (+ 1/2 y)))) (- (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) z) (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg z) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (- x (* (+ y 1/2) (log y))) y) (+ (* -1/2 (log y)) x) (log y) (- (+ (- 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 1/2) (log y))) y) z) (+ (- x (* (+ y 1/2) (log y))) y) (- x (* (+ y 1/2) (log y))) (* (+ y 1/2) (log y)) (/ 1 (+ 1/2 y)) (* (log y) y))
2.0ms
x
@0
((/ (log y) (/ 1 (+ 1/2 y))) (- x (/ (log y) (/ 1 (+ 1/2 y)))) (- (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) z) (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg z) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (- x (* (+ y 1/2) (log y))) y) (+ (* -1/2 (log y)) x) (log y) (- (+ (- 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 1/2) (log y))) y) z) (+ (- x (* (+ y 1/2) (log y))) y) (- x (* (+ y 1/2) (log y))) (* (+ y 1/2) (log y)) (/ 1 (+ 1/2 y)) (* (log y) y))

simplify230.0ms (2.9%)

Memory
42.6MiB live, 270.3MiB allocated
Algorithm
egg-herbie
Rules
10 862×lower-fma.f64
10 862×lower-fma.f32
4 398×lower-*.f64
4 398×lower-*.f32
3 298×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02315867
17305376
221874944
375204942
086614659
Stop Event
iter limit
node limit
Counts
456 → 430
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)))
(- (+ 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) (+ 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)
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))
(* -1 z)
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))
(* -1 z)
(* z (- (/ y z) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))
(* z (- (/ y z) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))
(* z (- (/ y z) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))
z
(* z (+ 1 (/ (* (log y) (+ 1/2 y)) z)))
(* z (+ 1 (/ (* (log y) (+ 1/2 y)) z)))
(* z (+ 1 (/ (* (log y) (+ 1/2 y)) z)))
(* -1 z)
(* z (- (+ (/ 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)))))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z)))))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z)))))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z)))))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ (- y (* (log y) (+ 1/2 y))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (- y (* (log y) (+ 1/2 y))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (- y (* (log y) (+ 1/2 y))) z)))))
z
(* -1 (* z (- (* -1 (/ (* (log y) (+ 1/2 y)) z)) 1)))
(* -1 (* z (- (* -1 (/ (* (log y) (+ 1/2 y)) z)) 1)))
(* -1 (* z (- (* -1 (/ (* (log y) (+ 1/2 y)) z)) 1)))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (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)))))
(* 1/2 (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))))
(- x (* 1/2 (log y)))
(- (+ x (* y (- 1 (log y)))) (* 1/2 (log y)))
(- (+ x (* y (- 1 (log y)))) (* 1/2 (log y)))
(- (+ x (* y (- 1 (log y)))) (* 1/2 (log y)))
(+ x (* -1/2 (log y)))
(+ x (* -1/2 (log y)))
(+ x (* -1/2 (log y)))
(+ x (* -1/2 (log y)))
(log y)
(log y)
(log y)
(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 (+ z (* 1/2 (log y))))
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y))))
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y))))
(- (+ x (* y (- 1 (log y)))) (+ z (* 1/2 (log y))))
(- x (* 1/2 (log y)))
(- (+ x (* y (- 1 (log y)))) (* 1/2 (log y)))
(- (+ x (* y (- 1 (log y)))) (* 1/2 (log y)))
(- (+ x (* y (- 1 (log y)))) (* 1/2 (log y)))
(- x (* 1/2 (log y)))
(- (+ x (* -1 (* 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)))
(* 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)))
(* y (log y))
(* y (log y))
(* y (log y))
(* y (log 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))))
(* 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)))))
(* y (- 1 (* -1 (log (/ 1 y)))))
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y)))))
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y)))))
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y)))))
(* y (- 1 (* -1 (log (/ 1 y)))))
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y)))))
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y)))))
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (+ (* -1/2 (/ (log (/ 1 y)) y)) (/ z y)))))
(* y (- 1 (* -1 (log (/ 1 y)))))
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))))
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))))
(* y (- (+ 1 (/ x y)) (+ (* -1 (log (/ 1 y))) (* -1/2 (/ (log (/ 1 y)) y)))))
(+ x (* 1/2 (log (/ 1 y))))
(+ x (* 1/2 (log (/ 1 y))))
(+ x (* 1/2 (log (/ 1 y))))
(+ x (* 1/2 (log (/ 1 y))))
(* -1 (log (/ 1 y)))
(* -1 (log (/ 1 y)))
(* -1 (log (/ 1 y)))
(* -1 (log (/ 1 y)))
(* y (- 1 (* -1 (log (/ 1 y)))))
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(/ 1 y)
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(/ (- (+ 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)
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(* -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 (- (+ (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)) (/ z y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))
(* -1 (* y (- (+ (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)) (/ z y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))
(* -1 (* y (- (+ (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)) (/ z y)) (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))))
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(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)))))
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1 (/ (+ z (* 1/2 (+ (log -1) (* -1 (log (/ -1 y)))))) y)))))
y
(* y (+ 1 (* 1/2 (/ 1 y))))
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(* y (+ 1 (* 1/2 (/ 1 y))))
(* y (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 y)))))))
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(* -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)))))))))
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(* -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 (+ (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 (+ (log -1) (* -1 (log (/ -1 y)))))
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)))))
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)))))
(* -1 (* y (+ (* -1 (+ (log -1) (* -1 (log (/ -1 y))))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 y)))) y)))))
(/ 1 y)
(* -1 (/ (- (* 1/2 (/ 1 y)) 1) y))
(* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 y)) 1/2) y)) 1) y))
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(- (+ x y) (* (log y) (+ 1/2 y)))
(* -1/2 (log y))
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(- y (+ z (* (log y) (+ 1/2 y))))
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(- (+ x y) (* (log y) (+ 1/2 y)))
(- (+ x y) (* (log y) (+ 1/2 y)))
(- (+ x y) (* (log y) (+ 1/2 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)))
x
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(* x (+ 1 (* -1 (/ (* (log y) (+ 1/2 y)) x))))
x
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x
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x
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x
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x
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x
(* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1)))
(* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1)))
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x
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x
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x
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x
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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 (* (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)))
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x
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x
(* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1)))
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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))
(- (+ 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)))
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x
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x
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x
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x
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(*.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) y #s(literal -1/2 binary64)) (/.f64 (log.f64 y) x) #s(literal 1 binary64)) x)
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x
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x
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(* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1)))
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(fma.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) y #s(literal -1/2 binary64)) (log.f64 y) y) x) 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)))
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x
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x
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(fma.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) y #s(literal -1/2 binary64)) (log.f64 y) y) x) x x)
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(fma.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) y #s(literal -1/2 binary64)) (log.f64 y) y) x) x x)
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(*.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) y #s(literal -1/2 binary64)) (/.f64 (log.f64 y) x) #s(literal 1 binary64)) x)

rewrite246.0ms (3.1%)

Memory
6.1MiB live, 201.7MiB allocated
Rules
5 046×lower-*.f32
5 044×lower-*.f64
3 358×lower-/.f32
3 354×lower-/.f64
2 642×lower-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
032208
050208
1272200
22604200
08226200
Stop Event
iter limit
node limit
iter limit
Counts
20 → 574
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)
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z)
#s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x))
(fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)
(log.f64 y)
#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 (+.f64 (-.f64 x #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) y) z)
(+.f64 (-.f64 x #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) y)
(-.f64 x #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y)))
#s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y))
(*.f64 (log.f64 y) y)
Outputs
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eval311.0ms (3.9%)

Memory
-11.6MiB live, 358.5MiB allocated
Compiler

Compiled 28 969 to 2 996 computations (89.7% saved)

prune45.0ms (0.6%)

Memory
-22.2MiB live, 138.9MiB allocated
Pruning

16 alts after pruning (13 fresh and 3 done)

PrunedKeptTotal
New1 113111 124
Fresh527
Picked235
Done000
Total1 120161 136
Accuracy
100.0%
Counts
1 136 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z)))))
81.0%
(-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) #s(approx (/ 1 (+ 1/2 y)) (/.f64 #s(literal 1 binary64) y)))) y) z)
81.0%
(-.f64 (+.f64 (-.f64 x #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) y) z)
56.9%
(-.f64 #s(approx (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) z)
69.5%
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z)
44.5%
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))) z)
78.8%
#s(approx (- (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) 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)))
32.6%
#s(approx (- (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y))
74.5%
#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)))
35.7%
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 (*.f64 (-.f64 (*.f64 y y) (*.f64 z z)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) y))) (*.f64 (+.f64 y z) (neg.f64 (log.f64 y)))) (*.f64 (+.f64 y z) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) y)))))
10.1%
#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)))
43.5%
#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)))
63.4%
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (fma.f64 (*.f64 z (+.f64 #s(literal 1/2 binary64) y)) (/.f64 (log.f64 y) z) z))))
49.8%
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y)))))
32.6%
#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))))
26.4%
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z))
Compiler

Compiled 348 to 298 computations (14.4% saved)

simplify162.0ms (2%)

Memory
33.2MiB live, 146.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (log.f64 y) #s(approx (/ 1 (+ 1/2 y)) (/.f64 #s(literal 1 binary64) y)))
cost-diff0
(-.f64 x (/.f64 (log.f64 y) #s(approx (/ 1 (+ 1/2 y)) (/.f64 #s(literal 1 binary64) y))))
cost-diff0
(+.f64 (-.f64 x (/.f64 (log.f64 y) #s(approx (/ 1 (+ 1/2 y)) (/.f64 #s(literal 1 binary64) y)))) y)
cost-diff0
(-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) #s(approx (/ 1 (+ 1/2 y)) (/.f64 #s(literal 1 binary64) y)))) y) z)
cost-diff0
(-.f64 #s(literal 1 binary64) (log.f64 y))
cost-diff0
(*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)
cost-diff0
#s(approx (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y))
cost-diff0
(-.f64 #s(approx (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) z)
cost-diff0
(*.f64 #s(literal -1/2 binary64) (log.f64 y))
cost-diff0
#s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))
cost-diff0
#s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y))))
cost-diff0
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))) z)
cost-diff0
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)))
cost-diff64
(-.f64 #s(literal 0 binary64) (*.f64 z z))
cost-diff192
(+.f64 #s(literal 0 binary64) z)
cost-diff1024
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))
cost-diff0
(-.f64 #s(literal -1/2 binary64) y)
cost-diff0
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z)))
cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 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) (+.f64 x (-.f64 y z)))))
Rules
6 342×lower-fma.f32
6 340×lower-fma.f64
2 776×lower-*.f32
2 770×lower-*.f64
1 376×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046300
070287
1131282
2331274
3972274
42438274
54139274
65850274
76881274
87604274
08001267
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z)))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))))
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z)))
(-.f64 #s(literal -1/2 binary64) y)
#s(literal -1/2 binary64)
y
(log.f64 y)
(+.f64 x (-.f64 y z))
x
(-.f64 y z)
z
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))
(-.f64 #s(literal 0 binary64) (*.f64 z z))
#s(literal 0 binary64)
(*.f64 z z)
z
(+.f64 #s(literal 0 binary64) z)
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))) z)
#s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y))))
#s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))
(*.f64 #s(literal -1/2 binary64) (log.f64 y))
#s(literal -1/2 binary64)
(log.f64 y)
y
z
(-.f64 #s(approx (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) z)
#s(approx (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y))
(*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)
(-.f64 #s(literal 1 binary64) (log.f64 y))
#s(literal 1 binary64)
(log.f64 y)
y
z
(-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) #s(approx (/ 1 (+ 1/2 y)) (/.f64 #s(literal 1 binary64) y)))) y) z)
(+.f64 (-.f64 x (/.f64 (log.f64 y) #s(approx (/ 1 (+ 1/2 y)) (/.f64 #s(literal 1 binary64) y)))) y)
(-.f64 x (/.f64 (log.f64 y) #s(approx (/ 1 (+ 1/2 y)) (/.f64 #s(literal 1 binary64) y))))
x
(/.f64 (log.f64 y) #s(approx (/ 1 (+ 1/2 y)) (/.f64 #s(literal 1 binary64) y)))
(log.f64 y)
y
#s(approx (/ 1 (+ 1/2 y)) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
z
Outputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z)))))
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (+.f64 (-.f64 y z) x))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))))
(/.f64 #s(literal -1 binary64) (-.f64 (-.f64 (fma.f64 (-.f64 y #s(literal -1/2 binary64)) (log.f64 y) z) x) y))
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z)))
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (+.f64 (-.f64 y z) x))
(-.f64 #s(literal -1/2 binary64) y)
#s(literal -1/2 binary64)
y
(log.f64 y)
(+.f64 x (-.f64 y z))
(+.f64 (-.f64 y z) x)
x
(-.f64 y z)
z
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))
(neg.f64 z)
(-.f64 #s(literal 0 binary64) (*.f64 z z))
(*.f64 (neg.f64 z) z)
#s(literal 0 binary64)
(*.f64 z z)
z
(+.f64 #s(literal 0 binary64) z)
z
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))) z)
(-.f64 #s(approx (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) #s(approx (+ (* -1/2 (log y)) x) (*.f64 (log.f64 y) #s(literal -1/2 binary64)))) z)
#s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y))))
#s(approx (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) #s(approx (+ (* -1/2 (log y)) x) (*.f64 (log.f64 y) #s(literal -1/2 binary64))))
#s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))
#s(approx (+ (* -1/2 (log y)) x) (*.f64 (log.f64 y) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) (log.f64 y))
(*.f64 (log.f64 y) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(log.f64 y)
y
z
(-.f64 #s(approx (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) z)
#s(approx (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y))
(*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)
(-.f64 #s(literal 1 binary64) (log.f64 y))
#s(literal 1 binary64)
(log.f64 y)
y
z
(-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) #s(approx (/ 1 (+ 1/2 y)) (/.f64 #s(literal 1 binary64) y)))) y) z)
(-.f64 (+.f64 (-.f64 y z) x) (/.f64 (log.f64 y) #s(approx (/ 1 (+ 1/2 y)) (/.f64 #s(literal 1 binary64) y))))
(+.f64 (-.f64 x (/.f64 (log.f64 y) #s(approx (/ 1 (+ 1/2 y)) (/.f64 #s(literal 1 binary64) y)))) y)
(-.f64 (+.f64 x y) (/.f64 (log.f64 y) #s(approx (/ 1 (+ 1/2 y)) (/.f64 #s(literal 1 binary64) y))))
(-.f64 x (/.f64 (log.f64 y) #s(approx (/ 1 (+ 1/2 y)) (/.f64 #s(literal 1 binary64) y))))
x
(/.f64 (log.f64 y) #s(approx (/ 1 (+ 1/2 y)) (/.f64 #s(literal 1 binary64) y)))
(log.f64 y)
y
#s(approx (/ 1 (+ 1/2 y)) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
z

localize163.0ms (2%)

Memory
-36.3MiB live, 189.2MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0
(log.f64 y)
accuracy0.08984375
(+.f64 (-.f64 x (/.f64 (log.f64 y) #s(approx (/ 1 (+ 1/2 y)) (/.f64 #s(literal 1 binary64) y)))) y)
accuracy0.193691259768442
(/.f64 (log.f64 y) #s(approx (/ 1 (+ 1/2 y)) (/.f64 #s(literal 1 binary64) y)))
accuracy31.63158079966584
#s(approx (/ 1 (+ 1/2 y)) (/.f64 #s(literal 1 binary64) y))
accuracy0
(log.f64 y)
accuracy0.00390625
(-.f64 #s(literal 1 binary64) (log.f64 y))
accuracy0.2890625
(*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)
accuracy37.90462267515629
#s(approx (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y))
accuracy0
(*.f64 #s(literal -1/2 binary64) (log.f64 y))
accuracy0
(log.f64 y)
accuracy24.497236056879665
#s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y))))
accuracy28.60220347379142
#s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))
accuracy0
(+.f64 #s(literal 0 binary64) z)
accuracy0
(*.f64 z z)
accuracy32.648688004950834
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))
accuracy47.120036120284325
#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)))
accuracy0.0078125
(+.f64 x (-.f64 y z))
accuracy0.078125
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z)))
accuracy0.21875
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z)))))
accuracy0.3165735301873717
(/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))))
Samples
77.0ms255×0valid
1.0ms1valid
Compiler

Compiled 232 to 37 computations (84.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 59.0ms
ival-log: 18.0ms (30.6% of total)
ival-sub: 12.0ms (20.4% of total)
ival-add: 11.0ms (18.7% of total)
ival-div: 9.0ms (15.3% of total)
ival-mult: 8.0ms (13.6% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series79.0ms (1%)

Memory
2.9MiB live, 196.7MiB allocated
Counts
24 → 540
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) (+.f64 x (-.f64 y z))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z)))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z)))) #<representation binary64>) () ())
#s(alt (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) (patch (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal -1/2 binary64) y) (patch (-.f64 #s(literal -1/2 binary64) y) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)) (patch (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 0 binary64) z) (patch (+.f64 #s(literal 0 binary64) z) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 0 binary64) (*.f64 z z)) (patch (-.f64 #s(literal 0 binary64) (*.f64 z z)) #<representation binary64>) () ())
#s(alt #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))) (patch #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))) #<representation binary64>) () ())
#s(alt (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))) z) (patch (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))) z) #<representation binary64>) () ())
#s(alt #s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))) (patch #s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y))) (patch #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal -1/2 binary64) (log.f64 y)) (patch (*.f64 #s(literal -1/2 binary64) (log.f64 y)) #<representation binary64>) () ())
#s(alt (-.f64 #s(approx (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) z) (patch (-.f64 #s(approx (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) z) #<representation binary64>) () ())
#s(alt #s(approx (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) (patch #s(approx (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) (log.f64 y)) (patch (-.f64 #s(literal 1 binary64) (log.f64 y)) #<representation binary64>) () ())
#s(alt (-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) #s(approx (/ 1 (+ 1/2 y)) (/.f64 #s(literal 1 binary64) y)))) y) z) (patch (-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) #s(approx (/ 1 (+ 1/2 y)) (/.f64 #s(literal 1 binary64) y)))) y) z) #<representation binary64>) () ())
#s(alt (+.f64 (-.f64 x (/.f64 (log.f64 y) #s(approx (/ 1 (+ 1/2 y)) (/.f64 #s(literal 1 binary64) y)))) y) (patch (+.f64 (-.f64 x (/.f64 (log.f64 y) #s(approx (/ 1 (+ 1/2 y)) (/.f64 #s(literal 1 binary64) y)))) y) #<representation binary64>) () ())
#s(alt (-.f64 x (/.f64 (log.f64 y) #s(approx (/ 1 (+ 1/2 y)) (/.f64 #s(literal 1 binary64) y)))) (patch (-.f64 x (/.f64 (log.f64 y) #s(approx (/ 1 (+ 1/2 y)) (/.f64 #s(literal 1 binary64) y)))) #<representation binary64>) () ())
#s(alt (/.f64 (log.f64 y) #s(approx (/ 1 (+ 1/2 y)) (/.f64 #s(literal 1 binary64) y))) (patch (/.f64 (log.f64 y) #s(approx (/ 1 (+ 1/2 y)) (/.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())
#s(alt (+.f64 x (-.f64 y z)) (patch (+.f64 x (-.f64 y z)) #<representation binary64>) () ())
#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ())
#s(alt (log.f64 y) (patch (log.f64 y) #<representation binary64>) () ())
#s(alt #s(approx (/ 1 (+ 1/2 y)) (/.f64 #s(literal 1 binary64) y)) (patch #s(approx (/ 1 (+ 1/2 y)) (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())
Outputs
#s(alt (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (+ x (+ y (* -1 (* (log y) (+ 1/2 y)))))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z)))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z)))) #<representation binary64>) () ())) ())
#s(alt (+ (/ 1 (+ x (+ y (* -1 (* (log y) (+ 1/2 y)))))) (/ z (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 2))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z)))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z)))) #<representation binary64>) () ())) ())
#s(alt (+ (* z (+ (/ 1 (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 2)) (/ z (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 3)))) (/ 1 (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z)))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z)))) #<representation binary64>) () ())) ())
#s(alt (+ (* z (+ (* z (+ (/ 1 (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 3)) (/ z (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 4)))) (/ 1 (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 2)))) (/ 1 (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z)))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z)))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) (taylor 0 z) (#s(alt (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) (patch (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) (taylor 0 z) (#s(alt (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) (patch (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) (taylor 0 z) (#s(alt (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) (patch (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) (taylor 0 z) (#s(alt (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) (patch (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)) (patch (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)) (patch (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)) (patch (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)) (patch (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)) #<representation binary64>) () ())) ())
#s(alt z (taylor 0 z) (#s(alt (+.f64 #s(literal 0 binary64) z) (patch (+.f64 #s(literal 0 binary64) z) #<representation binary64>) () ())) ())
#s(alt z (taylor 0 z) (#s(alt (+.f64 #s(literal 0 binary64) z) (patch (+.f64 #s(literal 0 binary64) z) #<representation binary64>) () ())) ())
#s(alt z (taylor 0 z) (#s(alt (+.f64 #s(literal 0 binary64) z) (patch (+.f64 #s(literal 0 binary64) z) #<representation binary64>) () ())) ())
#s(alt z (taylor 0 z) (#s(alt (+.f64 #s(literal 0 binary64) z) (patch (+.f64 #s(literal 0 binary64) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow z 2)) (taylor 0 z) (#s(alt (-.f64 #s(literal 0 binary64) (*.f64 z z)) (patch (-.f64 #s(literal 0 binary64) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow z 2)) (taylor 0 z) (#s(alt (-.f64 #s(literal 0 binary64) (*.f64 z z)) (patch (-.f64 #s(literal 0 binary64) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow z 2)) (taylor 0 z) (#s(alt (-.f64 #s(literal 0 binary64) (*.f64 z z)) (patch (-.f64 #s(literal 0 binary64) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow z 2)) (taylor 0 z) (#s(alt (-.f64 #s(literal 0 binary64) (*.f64 z z)) (patch (-.f64 #s(literal 0 binary64) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt (- (+ x y) (* (log y) (+ 1/2 y))) (taylor 0 z) (#s(alt #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))) (patch #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) (taylor 0 z) (#s(alt #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))) (patch #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) (taylor 0 z) (#s(alt #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))) (patch #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y))) (taylor 0 z) (#s(alt #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))) (patch #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))) #<representation binary64>) () ())) ())
#s(alt (- (+ x y) (* (log y) (+ 1/2 y))) (taylor 0 z) (#s(alt (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))) z) (patch (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))) z) #<representation binary64>) () ())) ())
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#s(alt x (taylor -inf x) (#s(alt (-.f64 x (/.f64 (log.f64 y) #s(approx (/ 1 (+ 1/2 y)) (/.f64 #s(literal 1 binary64) y)))) (patch (-.f64 x (/.f64 (log.f64 y) #s(approx (/ 1 (+ 1/2 y)) (/.f64 #s(literal 1 binary64) y)))) #<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)) (/.f64 #s(literal 1 binary64) y)))) (patch (-.f64 x (/.f64 (log.f64 y) #s(approx (/ 1 (+ 1/2 y)) (/.f64 #s(literal 1 binary64) y)))) #<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)) (/.f64 #s(literal 1 binary64) y)))) (patch (-.f64 x (/.f64 (log.f64 y) #s(approx (/ 1 (+ 1/2 y)) (/.f64 #s(literal 1 binary64) y)))) #<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)) (/.f64 #s(literal 1 binary64) y)))) (patch (-.f64 x (/.f64 (log.f64 y) #s(approx (/ 1 (+ 1/2 y)) (/.f64 #s(literal 1 binary64) y)))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 x (-.f64 y z)) (patch (+.f64 x (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- y z) x)) 1))) (taylor -inf x) (#s(alt (+.f64 x (-.f64 y z)) (patch (+.f64 x (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- y z) x)) 1))) (taylor -inf x) (#s(alt (+.f64 x (-.f64 y z)) (patch (+.f64 x (-.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- y z) x)) 1))) (taylor -inf x) (#s(alt (+.f64 x (-.f64 y z)) (patch (+.f64 x (-.f64 y z)) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
13.0ms
y
@0
((/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (+ (* (- -1/2 y) (log y)) (+ x (- y z))) (- -1/2 y) (/ (- 0 (* z z)) (+ 0 z)) (+ 0 z) (- 0 (* z z)) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (- x (* (+ y 1/2) (log y))) y) (+ (* -1/2 (log y)) x) (* -1/2 (log y)) (- (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) z) (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) (* (- 1 (log y)) y) (- 1 (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))) (+ x (- y z)) (* z z) (log y) (/ 1 (+ 1/2 y)))
12.0ms
y
@-inf
((/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (+ (* (- -1/2 y) (log y)) (+ x (- y z))) (- -1/2 y) (/ (- 0 (* z z)) (+ 0 z)) (+ 0 z) (- 0 (* z z)) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (- x (* (+ y 1/2) (log y))) y) (+ (* -1/2 (log y)) x) (* -1/2 (log y)) (- (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) z) (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) (* (- 1 (log y)) y) (- 1 (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))) (+ x (- y z)) (* z z) (log y) (/ 1 (+ 1/2 y)))
10.0ms
y
@inf
((/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (+ (* (- -1/2 y) (log y)) (+ x (- y z))) (- -1/2 y) (/ (- 0 (* z z)) (+ 0 z)) (+ 0 z) (- 0 (* z z)) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (- x (* (+ y 1/2) (log y))) y) (+ (* -1/2 (log y)) x) (* -1/2 (log y)) (- (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) z) (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) (* (- 1 (log y)) y) (- 1 (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))) (+ x (- y z)) (* z z) (log y) (/ 1 (+ 1/2 y)))
6.0ms
z
@0
((/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (+ (* (- -1/2 y) (log y)) (+ x (- y z))) (- -1/2 y) (/ (- 0 (* z z)) (+ 0 z)) (+ 0 z) (- 0 (* z z)) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (- x (* (+ y 1/2) (log y))) y) (+ (* -1/2 (log y)) x) (* -1/2 (log y)) (- (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) z) (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) (* (- 1 (log y)) y) (- 1 (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))) (+ x (- y z)) (* z z) (log y) (/ 1 (+ 1/2 y)))
6.0ms
x
@-inf
((/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (+ (* (- -1/2 y) (log y)) (+ x (- y z))) (- -1/2 y) (/ (- 0 (* z z)) (+ 0 z)) (+ 0 z) (- 0 (* z z)) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (+ (- x (* (+ y 1/2) (log y))) y) (+ (* -1/2 (log y)) x) (* -1/2 (log y)) (- (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) z) (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) (* (- 1 (log y)) y) (- 1 (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))) (+ x (- y z)) (* z z) (log y) (/ 1 (+ 1/2 y)))

simplify224.0ms (2.8%)

Memory
-16.5MiB live, 304.7MiB allocated
Algorithm
egg-herbie
Rules
5 542×lower-fma.f64
5 542×lower-fma.f32
4 278×lower-*.f64
4 278×lower-*.f32
3 008×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05067688
116147178
252807000
082116597
Stop Event
iter limit
node limit
Counts
540 → 502
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 (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))))
(+ (/ 1 (+ x (+ y (* -1 (* (log y) (+ 1/2 y)))))) (/ z (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 2)))
(+ (* z (+ (/ 1 (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 2)) (/ z (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 3)))) (/ 1 (+ x (+ y (* -1 (* (log y) (+ 1/2 y)))))))
(+ (* z (+ (* z (+ (/ 1 (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 3)) (/ z (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 4)))) (/ 1 (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 2)))) (/ 1 (+ x (+ y (* -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))))))
(* -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) (+ 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)))
(- (+ 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)
(+ x (+ y (* -1 z)))
(+ x (+ y (* -1 z)))
(+ x (+ y (* -1 z)))
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(* -1 z)
(* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1))
(* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1))
(* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1))
(/ -1 z)
(/ (- (* -1 (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z)) 1) z)
(/ (- (* -1 (/ (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 2) (pow z 2))) (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))))) z)
(/ (- (* -1 (/ (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 3) (pow z 3))) (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (+ (/ y z) (/ (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 2) (pow z 2))))))) z)
(* -1 z)
(* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1))
(* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1))
(* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
z
z
z
z
(* -1 (pow z 2))
(* -1 (pow z 2))
(* -1 (pow z 2))
(* -1 (pow z 2))
(* -1 z)
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))
(* -1 z)
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))
(* -1 z)
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))
(* z (- (+ (/ x z) (/ y z)) (+ 1 (/ (* (log y) (+ 1/2 y)) z))))
(* -1 z)
(* z (- (+ (/ 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))
(* z (- (+ (/ x z) (/ y z)) 1))
(* z (- (+ (/ x z) (/ y z)) 1))
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(* -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 (/ (+ 1 (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z)))) z))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 2) z)) (+ x (+ y (* -1 (* (log y) (+ 1/2 y)))))) z))) z))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 3) z) (* -1 (pow (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) 2))) z)) (+ x (+ y (* -1 (* (log y) (+ 1/2 y)))))) z))) z))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z)))))
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(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
z
z
z
z
(* -1 (pow z 2))
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(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z)))))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z)))))
(* -1 (* z (+ 1 (* -1 (/ (- (+ x y) (* (log y) (+ 1/2 y))) z)))))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ (- (+ 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)))))
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(- (+ 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 (- (+ x (* -1/2 (log y))) z))
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-1/2
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(- (+ x (* y (- 1 (log y)))) (* 1/2 (log y)))
(- (+ x (* y (- 1 (log y)))) (* 1/2 (log y)))
(* y (- 1 (log y)))
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(- (+ x (* y (- 1 (log y)))) (* 1/2 (log y)))
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(- (+ x (* -1 (* y (log y)))) (* 1/2 (log y)))
(- (+ x (* -1 (* y (log y)))) (* 1/2 (log y)))
(* 1/2 (log y))
(+ (* 1/2 (log y)) (* y (log y)))
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(- x z)
(- (+ x y) z)
(- (+ x y) z)
(- (+ x y) z)
(log y)
(log y)
(log y)
(log y)
2
(+ 2 (* -4 y))
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(* y (+ 1 (log (/ 1 y))))
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(* y (- (+ 1 (+ (log (/ 1 y)) (+ (* 1/2 (/ (log (/ 1 y)) y)) (/ x y)))) (/ z y)))
(/ 1 (* y (+ 1 (log (/ 1 y)))))
(/ (- (+ (/ 1 (+ 1 (log (/ 1 y)))) (/ z (* y (pow (+ 1 (log (/ 1 y))) 2)))) (+ (* 1/2 (/ (log (/ 1 y)) (* y (pow (+ 1 (log (/ 1 y))) 2)))) (/ x (* y (pow (+ 1 (log (/ 1 y))) 2))))) y)
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(* 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)))
(* x (- (+ 1 (/ y x)) (/ z x)))
(* x (- (+ 1 (/ y x)) (/ z x)))
x
(* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1)))
(/ 1 x)
(* -1 (/ (- (* -1 (/ (- z (+ y (* -1 (* (log y) (+ 1/2 y))))) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (+ z (* -1 (/ (* (- z (+ y (* -1 (* (log y) (+ 1/2 y))))) (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z)) x))) (+ y (* -1 (* (log y) (+ 1/2 y))))) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (+ z (* -1 (/ (- (* -1 (/ (* (- z (+ y (* -1 (* (log y) (+ 1/2 y))))) (pow (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) 2)) x)) (* -1 (* (- z (+ y (* -1 (* (log y) (+ 1/2 y))))) (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z)))) x))) (+ y (* -1 (* (log y) (+ 1/2 y))))) x)) 1) x))
x
(* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) 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 (+ 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)))
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(* -1 (* x (- (* 1/2 (/ (log y) x)) 1)))
(* -1 (* x (- (* 1/2 (/ (log y) x)) 1)))
(* -1 (* x (- (* 1/2 (/ (log y) x)) 1)))
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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)))
(* -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)))
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(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1)))
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(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1)))
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(* -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)))
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(* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1)))
(* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1)))
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x
(* -1 (* x (- (* -1 (/ (- y z) x)) 1)))
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Outputs
(+ x (+ y (* -1 (* (log y) (+ 1/2 y)))))
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x))
(+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y))))))
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 (+.f64 y x) z))
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(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 (+.f64 y x) z))
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(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 (+.f64 y x) z))
(/ 1 (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))))
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z
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(- (+ x y) (* (log y) (+ 1/2 y)))
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(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 (+.f64 y x) z))
(- (+ 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) (* (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))
(- (+ x y) (* (log y) (+ 1/2 y)))
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x))
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y)))
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 (+.f64 y x) z))
(- (+ x (+ y (* -1 z))) (* (log y) (+ 1/2 y)))
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(- (+ x y) (* (log y) (+ 1/2 y)))
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(- (+ 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))
(+ x y)
(+.f64 y x)
(+ x (+ y (* -1 z)))
(-.f64 (+.f64 y x) z)
(+ x (+ y (* -1 z)))
(-.f64 (+.f64 y x) z)
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(-.f64 (+.f64 y x) z)
(pow z 2)
(*.f64 z z)
(pow z 2)
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(pow z 2)
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(pow z 2)
(*.f64 z z)
(* -1 z)
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(* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1))
(fma.f64 (+.f64 (/.f64 x z) (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y) z)) z (neg.f64 z))
(* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1))
(fma.f64 (+.f64 (/.f64 x z) (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y) z)) z (neg.f64 z))
(* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1))
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(/ -1 z)
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(* -1 z)
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(* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1))
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(* z (- (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (+ (/ x z) (/ y z))) 1))
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(* -1 z)
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z
z
z
z
(* -1 (pow z 2))
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(* -1 z)
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(* -1 z)
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x
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(*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (/.f64 (log.f64 y) x) #s(literal 1 binary64)) x)
x
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(*.f64 (+.f64 (/.f64 (-.f64 y z) x) #s(literal 1 binary64)) x)
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(*.f64 (+.f64 (/.f64 (-.f64 y z) x) #s(literal 1 binary64)) x)
x
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(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 y z)) x)))
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(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 y z)) x)))
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(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 y z)) x)))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* -1 (/ (- (* -1 (/ (- z (+ y (* -1 (* (log y) (+ 1/2 y))))) x)) 1) x))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z) y) x)) (neg.f64 x))
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(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 y z)) (neg.f64 x)) (-.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z) y) (-.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z) y)) x)) (neg.f64 x))
(* -1 (/ (- (* -1 (/ (- (+ z (* -1 (/ (- (* -1 (/ (* (- z (+ y (* -1 (* (log y) (+ 1/2 y))))) (pow (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) 2)) x)) (* -1 (* (- z (+ y (* -1 (* (log y) (+ 1/2 y))))) (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z)))) x))) (+ y (* -1 (* (log y) (+ 1/2 y))))) x)) 1) x))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (/.f64 (*.f64 (-.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z) y) (-.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 y z)) #s(literal 2 binary64)) x) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 y z)))) x) z) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y)) x)) (neg.f64 x))
x
(* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1)))
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 y z)) x)))
(* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1)))
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 y z)) x)))
(* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1)))
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 y z)) x)))
x
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1)))
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 y z)) x)))
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1)))
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 y z)) x)))
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1)))
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 y z)) x)))
x
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1)))
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 y z)) x)))
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1)))
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 y z)) x)))
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1)))
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 y z)) x)))
x
(* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1)))
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y) x)))
(* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1)))
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y) x)))
(* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1)))
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y) x)))
x
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(*.f64 (neg.f64 x) (fma.f64 (/.f64 (log.f64 y) x) #s(literal 1/2 binary64) #s(literal -1 binary64)))
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(*.f64 (neg.f64 x) (fma.f64 (/.f64 (log.f64 y) x) #s(literal 1/2 binary64) #s(literal -1 binary64)))
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(*.f64 (neg.f64 x) (fma.f64 (/.f64 (log.f64 y) x) #s(literal 1/2 binary64) #s(literal -1 binary64)))
x
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1)))
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 y z)) x)))
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(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 y z)) x)))
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1)))
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 y z)) x)))
x
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(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y) x)))
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(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y) x)))
(* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1)))
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y) x)))
x
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1)))
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 y z)) x)))
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(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 y z)) x)))
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1)))
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (-.f64 y z)) x)))
x
(* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1)))
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y) x)))
(* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1)))
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y) x)))
(* -1 (* x (- (* -1 (/ (- y (* (log y) (+ 1/2 y))) x)) 1)))
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) y) x)))
x
(* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1)))
(*.f64 (neg.f64 x) (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (/.f64 (log.f64 y) x) #s(literal -1 binary64)))
(* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1)))
(*.f64 (neg.f64 x) (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (/.f64 (log.f64 y) x) #s(literal -1 binary64)))
(* -1 (* x (- (/ (* (log y) (+ 1/2 y)) x) 1)))
(*.f64 (neg.f64 x) (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (/.f64 (log.f64 y) x) #s(literal -1 binary64)))
x
(* -1 (* x (- (* -1 (/ (- y z) x)) 1)))
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 y z) x)))
(* -1 (* x (- (* -1 (/ (- y z) x)) 1)))
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 y z) x)))
(* -1 (* x (- (* -1 (/ (- y z) x)) 1)))
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 y z) x)))

rewrite344.0ms (4.3%)

Memory
-1.3MiB live, 277.4MiB allocated
Rules
3 796×lower-/.f32
3 786×lower-/.f64
2 960×lower-fma.f32
2 958×lower-fma.f64
2 934×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046271
070258
1387245
23819245
08800238
Stop Event
iter limit
node limit
iter limit
Counts
24 → 884
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z)))))
(/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z))))
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z)))
(-.f64 #s(literal -1/2 binary64) y)
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z))
(+.f64 #s(literal 0 binary64) z)
(-.f64 #s(literal 0 binary64) (*.f64 z z))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)))
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))) z)
#s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y))))
#s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))
(*.f64 #s(literal -1/2 binary64) (log.f64 y))
(-.f64 #s(approx (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) z)
#s(approx (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y))
(*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)
(-.f64 #s(literal 1 binary64) (log.f64 y))
(-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) #s(approx (/ 1 (+ 1/2 y)) (/.f64 #s(literal 1 binary64) y)))) y) z)
(+.f64 (-.f64 x (/.f64 (log.f64 y) #s(approx (/ 1 (+ 1/2 y)) (/.f64 #s(literal 1 binary64) y)))) y)
(-.f64 x (/.f64 (log.f64 y) #s(approx (/ 1 (+ 1/2 y)) (/.f64 #s(literal 1 binary64) y))))
(/.f64 (log.f64 y) #s(approx (/ 1 (+ 1/2 y)) (/.f64 #s(literal 1 binary64) y)))
(+.f64 x (-.f64 y z))
(*.f64 z z)
(log.f64 y)
#s(approx (/ 1 (+ 1/2 y)) (/.f64 #s(literal 1 binary64) y))
Outputs
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eval252.0ms (3.1%)

Memory
25.0MiB live, 365.5MiB allocated
Compiler

Compiled 31 727 to 3 541 computations (88.8% saved)

prune47.0ms (0.6%)

Memory
31.0MiB live, 107.6MiB allocated
Pruning

21 alts after pruning (15 fresh and 6 done)

PrunedKeptTotal
New1 456111 467
Fresh448
Picked235
Done033
Total1 462211 483
Accuracy
100.0%
Counts
1 483 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
75.4%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y #s(literal 1/2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 y y)))) (log.f64 y) (+.f64 x (-.f64 y z)))))
32.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- -1/2 y) (log y)) (+ x (- y z))) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y))))
25.7%
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal 1 binary64) x)))
26.3%
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal -1 binary64) z)))
81.0%
(-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) #s(approx (/ 1 (+ 1/2 y)) (/.f64 #s(literal 1 binary64) y)))) y) z)
81.0%
(-.f64 (+.f64 (-.f64 x #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) y) z)
56.9%
(-.f64 #s(approx (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) z)
69.5%
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z)
44.5%
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))) z)
78.8%
#s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) z) z (neg.f64 z)))
74.5%
#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)))
32.6%
#s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y))
6.5%
#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)))
10.1%
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z))))
10.1%
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 z) z) z))
43.5%
#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)))
63.4%
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (fma.f64 (*.f64 z (+.f64 #s(literal 1/2 binary64) y)) (/.f64 (log.f64 y) z) z))))
49.8%
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y)))))
32.6%
#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))))
10.1%
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (*.f64 z z) (/.f64 #s(literal -1 binary64) z)))
26.4%
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z))
Compiler

Compiled 378 to 345 computations (8.7% saved)

simplify126.0ms (1.6%)

Memory
-4.2MiB live, 157.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y))
cost-diff0
#s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y)))
cost-diff0
(-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y))))
cost-diff0
#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)))))
cost-diff0
(*.f64 (log.f64 y) y)
cost-diff0
#s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (log.f64 y) y))
cost-diff0
(-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (log.f64 y) y)))
cost-diff0
#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))))
cost-diff0
(/.f64 #s(literal 1 binary64) x)
cost-diff0
#s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal 1 binary64) x))
cost-diff0
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal 1 binary64) x)))
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
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x))
cost-diff0
(/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) z)
cost-diff0
#s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) z) z (neg.f64 z)))
cost-diff1024
(fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) z) z (neg.f64 z))
Rules
8 520×lower-fma.f32
8 516×lower-fma.f64
3 930×lower-*.f32
3 924×lower-*.f64
1 452×lower--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045294
063286
1117274
2249268
3723268
42089268
56120268
08270262
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) z) z (neg.f64 z)))
(fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) z) z (neg.f64 z))
(/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) z)
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x))
(-.f64 #s(literal -1/2 binary64) y)
#s(literal -1/2 binary64)
y
(log.f64 y)
(+.f64 y x)
x
z
(neg.f64 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
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal 1 binary64) x)))
#s(literal 1 binary64)
#s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
x
#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))))
(-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (log.f64 y) y)))
y
#s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (log.f64 y) y))
(*.f64 (log.f64 y) y)
(log.f64 y)
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y)))))
(-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y))))
y
#s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y)))
(*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y))
(+.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
(log.f64 y)
Outputs
#s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) z) z (neg.f64 z)))
#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 (-.f64 y z) x)))
(fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) z) z (neg.f64 z))
(fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (+.f64 (-.f64 y z) x))
(/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) z)
(/.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) (+.f64 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 x y))
(-.f64 #s(literal -1/2 binary64) y)
#s(literal -1/2 binary64)
y
(log.f64 y)
(+.f64 y x)
(+.f64 x y)
x
z
(neg.f64 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
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal 1 binary64) x)))
#s(literal 1 binary64)
#s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
x
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (log.f64 y) y))))
#s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (log.f64 y) y))))
(-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (log.f64 y) y)))
y
#s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (log.f64 y) y))
(*.f64 (log.f64 y) y)
(log.f64 y)
#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))))) (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) (log.f64 y)))))
(-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y))))
(-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) (log.f64 y))))
y
#s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y)))
#s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (-.f64 y #s(literal -1/2 binary64)) (log.f64 y)))
(*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y))
(*.f64 (-.f64 y #s(literal -1/2 binary64)) (log.f64 y))
(+.f64 #s(literal 1/2 binary64) y)
(-.f64 y #s(literal -1/2 binary64))
#s(literal 1/2 binary64)
(log.f64 y)

localize105.0ms (1.3%)

Memory
-2.0MiB live, 201.7MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.08984375
(-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y))))
accuracy0.1328125
(*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y))
accuracy16.26239653054198
#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)))))
accuracy18.898493961886288
#s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y)))
accuracy0.08984375
(-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (log.f64 y) y)))
accuracy0.265625
(*.f64 (log.f64 y) y)
accuracy16.26239653054198
#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))))
accuracy38.256013405876516
#s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (log.f64 y) y))
accuracy0
(/.f64 #s(literal 1 binary64) x)
accuracy0.21875
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal 1 binary64) x)))
accuracy47.36887055905023
#s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal 1 binary64) x))
accuracy0
(*.f64 (neg.f64 z) z)
accuracy0
(neg.f64 z)
accuracy32.648688004950834
(/.f64 (*.f64 (neg.f64 z) z) z)
accuracy47.120036120284325
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 z) z) z))
accuracy0
#s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) z) z (neg.f64 z)))
accuracy0.109375
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x))
accuracy0.171875
(/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) z)
accuracy13.610423640775876
(fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) z) z (neg.f64 z))
Samples
83.0ms255×0valid
0.0ms1valid
Compiler

Compiled 211 to 35 computations (83.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 63.0ms
ival-div: 21.0ms (33.6% of total)
ival-mult: 13.0ms (20.8% of total)
ival-add: 12.0ms (19.2% of total)
ival-sub: 11.0ms (17.6% of total)
ival-log: 4.0ms (6.4% of total)
ival-neg: 1.0ms (1.6% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series118.0ms (1.5%)

Memory
-7.3MiB live, 200.7MiB allocated
Counts
19 → 480
Calls
Call 1
Inputs
#s(alt (fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) z) z (neg.f64 z)) (patch (fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) z) z (neg.f64 z)) #<representation binary64>) () ())
#s(alt #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) z) z (neg.f64 z))) (patch #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) z) z (neg.f64 z))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) z) (patch (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) z) #<representation binary64>) () ())
#s(alt (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) (patch (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (neg.f64 z) z) z) (patch (/.f64 (*.f64 (neg.f64 z) z) z) #<representation binary64>) () ())
#s(alt #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 z) z) z)) (patch #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 z) z) z)) #<representation binary64>) () ())
#s(alt (*.f64 (neg.f64 z) z) (patch (*.f64 (neg.f64 z) z) #<representation binary64>) () ())
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal 1 binary64) x))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())
#s(alt #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal 1 binary64) x)) (patch #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())
#s(alt #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)))) (patch #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)))) #<representation binary64>) () ())
#s(alt (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (log.f64 y) y))) (patch (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (log.f64 y) y))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (log.f64 y) y)) (patch #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (log.f64 y) y)) #<representation binary64>) () ())
#s(alt (*.f64 (log.f64 y) y) (patch (*.f64 (log.f64 y) y) #<representation binary64>) () ())
#s(alt #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))))) (patch #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))))) #<representation binary64>) () ())
#s(alt (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y)))) (patch (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y))) (patch #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y))) #<representation binary64>) () ())
#s(alt (*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y)) (patch (*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y)) #<representation binary64>) () ())
Outputs
#s(alt (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) (taylor 0 z) (#s(alt (fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) z) z (neg.f64 z)) (patch (fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) z) z (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) (taylor 0 z) (#s(alt (fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) z) z (neg.f64 z)) (patch (fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) z) z (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) (taylor 0 z) (#s(alt (fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) z) z (neg.f64 z)) (patch (fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) z) z (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ y (+ (* -1 z) (* -1 (* (log y) (+ 1/2 y)))))) (taylor 0 z) (#s(alt (fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) z) z (neg.f64 z)) (patch (fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) z) z (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))))) (fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) z) z (neg.f64 z))) (patch #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) z) z (neg.f64 z))) #<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 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) z) z (neg.f64 z))) (patch #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) z) z (neg.f64 z))) #<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 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) z) z (neg.f64 z))) (patch #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) z) z (neg.f64 z))) #<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 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) z) z (neg.f64 z))) (patch #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) z) z (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z) (taylor 0 z) (#s(alt (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) z) (patch (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z) (taylor 0 z) (#s(alt (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) z) (patch (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z) (taylor 0 z) (#s(alt (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) z) (patch (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (+ y (* -1 (* (log y) (+ 1/2 y))))) z) (taylor 0 z) (#s(alt (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) z) (patch (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) 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>) () ())) ())
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Calls

9 calls:

TimeVariablePointExpression
32.0ms
z
@0
((+ (* (/ (+ (* (- -1/2 y) (log y)) (+ y x)) z) z) (neg z)) (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (/ (+ (* (- -1/2 y) (log y)) (+ y x)) z) (+ (* (- -1/2 y) (log y)) (+ y x)) (/ (* (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))))) (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/ 1 x) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (- y (+ (* (+ 1/2 y) (log y)) z)) (+ (* (+ 1/2 y) (log y)) z) (* (log y) y) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (- y (+ (* (+ 1/2 y) (log y)) z)) (+ (* (+ 1/2 y) (log y)) z) (* (+ 1/2 y) (log y)))
15.0ms
y
@inf
((+ (* (/ (+ (* (- -1/2 y) (log y)) (+ y x)) z) z) (neg z)) (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (/ (+ (* (- -1/2 y) (log y)) (+ y x)) z) (+ (* (- -1/2 y) (log y)) (+ y x)) (/ (* (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))))) (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/ 1 x) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (- y (+ (* (+ 1/2 y) (log y)) z)) (+ (* (+ 1/2 y) (log y)) z) (* (log y) y) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (- y (+ (* (+ 1/2 y) (log y)) z)) (+ (* (+ 1/2 y) (log y)) z) (* (+ 1/2 y) (log y)))
13.0ms
z
@-inf
((+ (* (/ (+ (* (- -1/2 y) (log y)) (+ y x)) z) z) (neg z)) (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (/ (+ (* (- -1/2 y) (log y)) (+ y x)) z) (+ (* (- -1/2 y) (log y)) (+ y x)) (/ (* (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))))) (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/ 1 x) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (- y (+ (* (+ 1/2 y) (log y)) z)) (+ (* (+ 1/2 y) (log y)) z) (* (log y) y) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (- y (+ (* (+ 1/2 y) (log y)) z)) (+ (* (+ 1/2 y) (log y)) z) (* (+ 1/2 y) (log y)))
12.0ms
z
@inf
((+ (* (/ (+ (* (- -1/2 y) (log y)) (+ y x)) z) z) (neg z)) (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (/ (+ (* (- -1/2 y) (log y)) (+ y x)) z) (+ (* (- -1/2 y) (log y)) (+ y x)) (/ (* (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))))) (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/ 1 x) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (- y (+ (* (+ 1/2 y) (log y)) z)) (+ (* (+ 1/2 y) (log y)) z) (* (log y) y) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (- y (+ (* (+ 1/2 y) (log y)) z)) (+ (* (+ 1/2 y) (log y)) z) (* (+ 1/2 y) (log y)))
10.0ms
y
@0
((+ (* (/ (+ (* (- -1/2 y) (log y)) (+ y x)) z) z) (neg z)) (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (/ (+ (* (- -1/2 y) (log y)) (+ y x)) z) (+ (* (- -1/2 y) (log y)) (+ y x)) (/ (* (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))))) (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/ 1 x) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (- y (+ (* (+ 1/2 y) (log y)) z)) (+ (* (+ 1/2 y) (log y)) z) (* (log y) y) (- (+ (- x (* (+ y 1/2) (log y))) y) z) (- y (+ (* (+ 1/2 y) (log y)) z)) (+ (* (+ 1/2 y) (log y)) z) (* (+ 1/2 y) (log y)))

simplify170.0ms (2.1%)

Memory
3.2MiB live, 152.5MiB allocated
Algorithm
egg-herbie
Rules
6 686×lower-fma.f64
6 686×lower-fma.f32
4 412×lower-*.f64
4 412×lower-*.f32
3 732×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04817855
115537228
253057108
087406799
Stop Event
iter limit
node limit
Counts
480 → 462
Calls
Call 1
Inputs
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(+.f64 x (*.f64 (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x) x))
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x))))
(+.f64 x (*.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))))
(+.f64 x (*.f64 (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x) x))
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x))))
(+.f64 x (*.f64 (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x) x))
(* x (- (+ 1 (/ y x)) (+ (/ z x) (/ (* (log y) (+ 1/2 y)) x))))
(+.f64 x (*.f64 (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x) x))
x
(* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1)))
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x)))
(* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1)))
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x)))
(* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1)))
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x)))
x
(* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1)))
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x)))
(* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1)))
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x)))
(* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1)))
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x)))
(/ x z)
(/.f64 x z)
(* -1 (* x (- (* -1 (/ (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) x)) (/ 1 z))))
(*.f64 (+.f64 (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) y #s(literal -1/2 binary64)) (log.f64 y) y) z) x) (/.f64 #s(literal 1 binary64) z)) x)
(* -1 (* x (- (* -1 (/ (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) x)) (/ 1 z))))
(*.f64 (+.f64 (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) y #s(literal -1/2 binary64)) (log.f64 y) y) z) x) (/.f64 #s(literal 1 binary64) z)) x)
(* -1 (* x (- (* -1 (/ (+ (* -1 (/ (* (log y) (+ 1/2 y)) z)) (/ y z)) x)) (/ 1 z))))
(*.f64 (+.f64 (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) y #s(literal -1/2 binary64)) (log.f64 y) y) z) x) (/.f64 #s(literal 1 binary64) z)) x)
x
(* -1 (* x (- (* -1 (/ (+ y (* -1 (* (log y) (+ 1/2 y)))) x)) 1)))
(neg.f64 (fma.f64 (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) (neg.f64 y)) x) x (neg.f64 x)))
(* -1 (* x (- (* -1 (/ (+ y (* -1 (* (log y) (+ 1/2 y)))) x)) 1)))
(neg.f64 (fma.f64 (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) (neg.f64 y)) x) x (neg.f64 x)))
(* -1 (* x (- (* -1 (/ (+ y (* -1 (* (log y) (+ 1/2 y)))) x)) 1)))
(neg.f64 (fma.f64 (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) (neg.f64 y)) x) x (neg.f64 x)))
x
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1)))
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x)))
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1)))
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x)))
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1)))
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x)))
x
(* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1)))
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x)))
(* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1)))
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x)))
(* -1 (* x (- (* -1 (/ (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) x)) 1)))
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x)))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* -1 (/ (- (* -1 (/ (- z (+ y (* -1 (* (log y) (+ 1/2 y))))) x)) 1) x))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z) y) x)) (neg.f64 x))
(* -1 (/ (- (* -1 (/ (- (+ z (* -1 (/ (* (- z (+ y (* -1 (* (log y) (+ 1/2 y))))) (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z)) x))) (+ y (* -1 (* (log y) (+ 1/2 y))))) x)) 1) x))
(/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x) (-.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z) y) (neg.f64 (-.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z) y))) x) #s(literal -1 binary64) #s(literal 1 binary64)) x)
(* -1 (/ (- (* -1 (/ (- (+ z (* -1 (/ (- (* -1 (/ (* (- z (+ y (* -1 (* (log y) (+ 1/2 y))))) (pow (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z) 2)) x)) (* -1 (* (- z (+ y (* -1 (* (log y) (+ 1/2 y))))) (- (+ y (* -1 (* (log y) (+ 1/2 y)))) z)))) x))) (+ y (* -1 (* (log y) (+ 1/2 y))))) x)) 1) x))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (-.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z) y) (-.f64 (/.f64 (pow.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) #s(literal 2 binary64)) x) (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)))) x) (-.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z) y)) x)) (neg.f64 x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
x
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1)))
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x)))
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1)))
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x)))
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1)))
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x)))
x
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1)))
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x)))
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1)))
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x)))
(* -1 (* x (- (* -1 (/ (- y (+ z (* (log y) (+ 1/2 y)))) x)) 1)))
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x)))

rewrite212.0ms (2.6%)

Memory
5.2MiB live, 196.8MiB allocated
Rules
5 638×lower-*.f32
5 632×lower-*.f64
4 280×lower-fma.f32
4 276×lower-fma.f64
3 322×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045267
063263
1313249
22552249
08494243
Stop Event
iter limit
node limit
iter limit
Counts
19 → 349
Calls
Call 1
Inputs
(fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) z) z (neg.f64 z))
#s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) z) z (neg.f64 z)))
(/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) z)
(fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x))
(/.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)
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#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))))
(-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (log.f64 y) y)))
#s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (log.f64 y) y))
(*.f64 (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 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y)))))
(-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y))))
#s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y)))
(*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y))
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eval109.0ms (1.4%)

Memory
9.8MiB live, 199.6MiB allocated
Compiler

Compiled 18 530 to 2 120 computations (88.6% saved)

prune243.0ms (3%)

Memory
-160.0MiB live, 119.6MiB allocated
Pruning

22 alts after pruning (12 fresh and 10 done)

PrunedKeptTotal
New8264830
Fresh2810
Picked145
Done066
Total82922851
Accuracy
100.0%
Counts
851 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
75.4%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y #s(literal 1/2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 y y)))) (log.f64 y) (+.f64 x (-.f64 y z)))))
32.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- -1/2 y) (log y)) (+ x (- y z))) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y))))
25.7%
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal 1 binary64) x)))
26.3%
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal -1 binary64) z)))
81.0%
(-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) #s(approx (/ 1 (+ 1/2 y)) (/.f64 #s(literal 1 binary64) y)))) y) z)
81.0%
(-.f64 (+.f64 (-.f64 x #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) y) z)
56.9%
(-.f64 #s(approx (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) z)
69.5%
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z)
44.5%
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))) z)
74.5%
#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)))
39.8%
#s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (fma.f64 #s(approx (/ (+ (* (- -1/2 y) (log y)) (+ y x)) z) (/.f64 x z)) z (neg.f64 z)))
46.9%
#s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (fma.f64 #s(approx (/ (+ (* (- -1/2 y) (log y)) (+ y x)) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) (/.f64 y z))) z (neg.f64 z)))
32.6%
#s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y))
6.5%
#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)))
10.1%
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (*.f64 (neg.f64 z) z) z))
63.4%
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (fma.f64 (*.f64 z (+.f64 #s(literal 1/2 binary64) y)) (/.f64 (log.f64 y) z) z))))
64.9%
#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))))
49.8%
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y)))))
32.6%
#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))))
19.6%
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) #s(approx (* (+ 1/2 y) (log y)) (*.f64 #s(literal 1/2 binary64) (log.f64 y))))))
10.1%
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (*.f64 z z) (/.f64 #s(literal -1 binary64) z)))
26.4%
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z))
Compiler

Compiled 692 to 379 computations (45.2% saved)

regimes77.0ms (1%)

Memory
-12.4MiB live, 67.6MiB allocated
Counts
39 → 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 (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (fma.f64 #s(approx (/ (+ (* (- -1/2 y) (log y)) (+ y x)) z) (/.f64 x z)) z (neg.f64 z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (*.f64 z z) (/.f64 #s(literal -1 binary64) z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal -1 binary64) z)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z))))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (*.f64 (neg.f64 z) (*.f64 (neg.f64 z) z)) (neg.f64 z)) (+.f64 #s(literal 0 binary64) z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (-.f64 #s(literal 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) #s(approx (* (+ 1/2 y) (log y)) (*.f64 #s(literal 1/2 binary64) (log.f64 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 (/ (log y) (/ 1 (+ 1/2 y)))) 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 (-.f64 #s(literal 1 binary64) (log.f64 y)) y))
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))) z)
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y (fma.f64 #s(approx (+ 1/2 y) #s(literal 1/2 binary64)) (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)
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y)))))
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) z)
(-.f64 #s(approx (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) (*.f64 (-.f64 #s(literal 1 binary64) (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 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)))
(-.f64 (+.f64 (-.f64 x #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) y) z)
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)
#s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (fma.f64 #s(approx (/ (+ (* (- -1/2 y) (log y)) (+ y x)) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) (/.f64 y z))) z (neg.f64 z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (fma.f64 (*.f64 z (log.f64 y)) (/.f64 (+.f64 #s(literal 1/2 binary64) y) z) z))))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (fma.f64 (*.f64 z (+.f64 #s(literal 1/2 binary64) y)) (/.f64 (log.f64 y) z) z))))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (fma.f64 (/.f64 (-.f64 y (fma.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y) z)) x) x x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (- -1/2 y) (log y)) (+ x (- y z))) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y))))
#s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)) z) z (neg.f64 z)))
(-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) #s(approx (/ 1 (+ 1/2 y)) (/.f64 #s(literal 1 binary64) y)))) y) z)
#s(approx (- (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) 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)))
(-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) y)))) y) z)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 x (-.f64 y z)))))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (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))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y #s(literal 1/2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 y y)))) (log.f64 y) (+.f64 x (-.f64 y z)))))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 (*.f64 (-.f64 (*.f64 y y) (*.f64 z z)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) y))) (*.f64 (+.f64 y z) (neg.f64 (log.f64 y)))) (*.f64 (+.f64 y z) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) y)))))
(fma.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y) (neg.f64 y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y) x) y)) (neg.f64 z))
Outputs
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)
Calls

5 calls:

24.0ms
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)
17.0ms
x
11.0ms
(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)
11.0ms
z
11.0ms
y
Results
AccuracySegmentsBranch
99.9%1x
99.9%1y
99.9%1z
99.9%1(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)
99.9%1(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)
Compiler

Compiled 25 to 28 computations (-12% saved)

regimes42.0ms (0.5%)

Memory
28.6MiB live, 64.7MiB allocated
Counts
24 → 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 (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (fma.f64 #s(approx (/ (+ (* (- -1/2 y) (log y)) (+ y x)) z) (/.f64 x z)) z (neg.f64 z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (*.f64 z z) (/.f64 #s(literal -1 binary64) z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal -1 binary64) z)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z))))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (*.f64 (neg.f64 z) (*.f64 (neg.f64 z) z)) (neg.f64 z)) (+.f64 #s(literal 0 binary64) z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (-.f64 #s(literal 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) #s(approx (* (+ 1/2 y) (log y)) (*.f64 #s(literal 1/2 binary64) (log.f64 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 (/ (log y) (/ 1 (+ 1/2 y)))) 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 (-.f64 #s(literal 1 binary64) (log.f64 y)) y))
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))) z)
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y (fma.f64 #s(approx (+ 1/2 y) #s(literal 1/2 binary64)) (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)
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y)))))
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) z)
(-.f64 #s(approx (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) (*.f64 (-.f64 #s(literal 1 binary64) (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 (-.f64 #s(literal -1/2 binary64) y) (log.f64 y) (+.f64 y x)))
(-.f64 (+.f64 (-.f64 x #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) 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 (+.f64 (-.f64 x #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) y) z)
Calls

5 calls:

11.0ms
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)
8.0ms
z
7.0ms
(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)
7.0ms
x
7.0ms
y
Results
AccuracySegmentsBranch
98.6%3x
99.6%2y
99.4%3z
99.0%2(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)
99.3%2(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)
Compiler

Compiled 25 to 28 computations (-12% saved)

regimes42.0ms (0.5%)

Memory
3.2MiB live, 77.1MiB 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 (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (fma.f64 #s(approx (/ (+ (* (- -1/2 y) (log y)) (+ y x)) z) (/.f64 x z)) z (neg.f64 z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (*.f64 z z) (/.f64 #s(literal -1 binary64) z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal -1 binary64) z)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z))))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (*.f64 (neg.f64 z) (*.f64 (neg.f64 z) z)) (neg.f64 z)) (+.f64 #s(literal 0 binary64) z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (-.f64 #s(literal 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) #s(approx (* (+ 1/2 y) (log y)) (*.f64 #s(literal 1/2 binary64) (log.f64 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 (/ (log y) (/ 1 (+ 1/2 y)))) 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 (-.f64 #s(literal 1 binary64) (log.f64 y)) y))
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))) z)
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y (fma.f64 #s(approx (+ 1/2 y) #s(literal 1/2 binary64)) (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)
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) (*.f64 (+.f64 #s(literal 1/2 binary64) y) (log.f64 y)))))
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) z)
(-.f64 #s(approx (+ (- x (/ (log y) (/ 1 (+ 1/2 y)))) y) (*.f64 (-.f64 #s(literal 1 binary64) (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 (-.f64 #s(literal -1/2 binary64) y) (log.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)
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)) z)
Calls

5 calls:

9.0ms
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)
7.0ms
(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)
7.0ms
z
7.0ms
x
7.0ms
y
Results
AccuracySegmentsBranch
93.5%3x
94.1%3z
91.5%2(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)
92.3%3(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)
93.1%2y
Compiler

Compiled 25 to 28 computations (-12% saved)

regimes36.0ms (0.4%)

Memory
-25.2MiB live, 58.9MiB allocated
Counts
18 → 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 (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (fma.f64 #s(approx (/ (+ (* (- -1/2 y) (log y)) (+ y x)) z) (/.f64 x z)) z (neg.f64 z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (*.f64 z z) (/.f64 #s(literal -1 binary64) z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal -1 binary64) z)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z))))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (*.f64 (neg.f64 z) (*.f64 (neg.f64 z) z)) (neg.f64 z)) (+.f64 #s(literal 0 binary64) z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (-.f64 #s(literal 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) #s(approx (* (+ 1/2 y) (log y)) (*.f64 #s(literal 1/2 binary64) (log.f64 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 (/ (log y) (/ 1 (+ 1/2 y)))) 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 (-.f64 #s(literal 1 binary64) (log.f64 y)) y))
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))) z)
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y (fma.f64 #s(approx (+ 1/2 y) #s(literal 1/2 binary64)) (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)
#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

5 calls:

10.0ms
y
7.0ms
(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)
6.0ms
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)
6.0ms
z
6.0ms
x
Results
AccuracySegmentsBranch
81.7%2(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)
80.1%2(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)
72.8%3x
77.1%5z
88.7%2y
Compiler

Compiled 25 to 28 computations (-12% saved)

regimes19.0ms (0.2%)

Memory
-5.7MiB live, 32.3MiB allocated
Counts
16 → 5
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 (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (fma.f64 #s(approx (/ (+ (* (- -1/2 y) (log y)) (+ y x)) z) (/.f64 x z)) z (neg.f64 z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (*.f64 z z) (/.f64 #s(literal -1 binary64) z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal -1 binary64) z)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z))))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (*.f64 (neg.f64 z) (*.f64 (neg.f64 z) z)) (neg.f64 z)) (+.f64 #s(literal 0 binary64) z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (-.f64 #s(literal 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) #s(approx (* (+ 1/2 y) (log y)) (*.f64 #s(literal 1/2 binary64) (log.f64 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 (/ (log y) (/ 1 (+ 1/2 y)))) 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 (-.f64 #s(literal 1 binary64) (log.f64 y)) y))
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))) z)
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y (fma.f64 #s(approx (+ 1/2 y) #s(literal 1/2 binary64)) (log.f64 y) z)))
Outputs
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y))
#s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (fma.f64 #s(approx (/ (+ (* (- -1/2 y) (log y)) (+ y x)) z) (/.f64 x z)) z (neg.f64 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))))) (fma.f64 #s(approx (/ (+ (* (- -1/2 y) (log y)) (+ y x)) z) (/.f64 x z)) z (neg.f64 z)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal 1 binary64) x)))
Calls

3 calls:

7.0ms
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)
5.0ms
(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)
5.0ms
y
Results
AccuracySegmentsBranch
72.4%3(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)
78.0%5(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)
66.9%2y
Compiler

Compiled 23 to 22 computations (4.3% saved)

regimes6.0ms (0.1%)

Memory
12.7MiB live, 12.7MiB allocated
Counts
15 → 5
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 (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (fma.f64 #s(approx (/ (+ (* (- -1/2 y) (log y)) (+ y x)) z) (/.f64 x z)) z (neg.f64 z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (*.f64 z z) (/.f64 #s(literal -1 binary64) z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal -1 binary64) z)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z))))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (*.f64 (neg.f64 z) (*.f64 (neg.f64 z) z)) (neg.f64 z)) (+.f64 #s(literal 0 binary64) z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (-.f64 #s(literal 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) #s(approx (* (+ 1/2 y) (log y)) (*.f64 #s(literal 1/2 binary64) (log.f64 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 (/ (log y) (/ 1 (+ 1/2 y)))) 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 (-.f64 #s(literal 1 binary64) (log.f64 y)) y))
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))) z)
Outputs
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y))
#s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (fma.f64 #s(approx (/ (+ (* (- -1/2 y) (log y)) (+ y x)) z) (/.f64 x z)) z (neg.f64 z)))
(-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))) z)
#s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (fma.f64 #s(approx (/ (+ (* (- -1/2 y) (log y)) (+ y x)) z) (/.f64 x z)) z (neg.f64 z)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal 1 binary64) x)))
Calls

1 calls:

5.0ms
(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)
Results
AccuracySegmentsBranch
78.0%5(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)
Compiler

Compiled 10 to 9 computations (10% saved)

regimes22.0ms (0.3%)

Memory
3.1MiB live, 40.9MiB allocated
Counts
14 → 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 (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (fma.f64 #s(approx (/ (+ (* (- -1/2 y) (log y)) (+ y x)) z) (/.f64 x z)) z (neg.f64 z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (*.f64 z z) (/.f64 #s(literal -1 binary64) z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal -1 binary64) z)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z))))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (*.f64 (neg.f64 z) (*.f64 (neg.f64 z) z)) (neg.f64 z)) (+.f64 #s(literal 0 binary64) z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (-.f64 #s(literal 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) #s(approx (* (+ 1/2 y) (log y)) (*.f64 #s(literal 1/2 binary64) (log.f64 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 (/ (log y) (/ 1 (+ 1/2 y)))) 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 (-.f64 #s(literal 1 binary64) (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))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) #s(approx (* (+ 1/2 y) (log y)) (*.f64 #s(literal 1/2 binary64) (log.f64 y))))))
#s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (fma.f64 #s(approx (/ (+ (* (- -1/2 y) (log y)) (+ y x)) z) (/.f64 x z)) z (neg.f64 z)))
Calls

4 calls:

5.0ms
x
5.0ms
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)
5.0ms
(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)
5.0ms
z
Results
AccuracySegmentsBranch
71.6%3(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)
52.9%5x
59.6%5z
69.9%5(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)
Compiler

Compiled 24 to 25 computations (-4.2% saved)

regimes17.0ms (0.2%)

Memory
-17.2MiB live, 23.8MiB allocated
Counts
10 → 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 (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (fma.f64 #s(approx (/ (+ (* (- -1/2 y) (log y)) (+ y x)) z) (/.f64 x z)) z (neg.f64 z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (*.f64 z z) (/.f64 #s(literal -1 binary64) z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal -1 binary64) z)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z))))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (*.f64 (neg.f64 z) (*.f64 (neg.f64 z) z)) (neg.f64 z)) (+.f64 #s(literal 0 binary64) z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y))
Outputs
#s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (fma.f64 #s(approx (/ (+ (* (- -1/2 y) (log y)) (+ y x)) z) (/.f64 x z)) z (neg.f64 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
(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)
4.0ms
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)
4.0ms
y
Results
AccuracySegmentsBranch
60.4%3(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)
59.1%2y
56.0%2(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)
Compiler

Compiled 23 to 22 computations (4.3% saved)

regimes15.0ms (0.2%)

Memory
30.1MiB live, 30.1MiB allocated
Counts
9 → 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 (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (fma.f64 #s(approx (/ (+ (* (- -1/2 y) (log y)) (+ y x)) z) (/.f64 x z)) z (neg.f64 z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (*.f64 z z) (/.f64 #s(literal -1 binary64) z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal -1 binary64) z)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z))))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (/.f64 (*.f64 (neg.f64 z) (*.f64 (neg.f64 z) z)) (neg.f64 z)) (+.f64 #s(literal 0 binary64) z)))
Outputs
#s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (fma.f64 #s(approx (/ (+ (* (- -1/2 y) (log y)) (+ y x)) z) (/.f64 x z)) z (neg.f64 z)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (fma.f64 #s(approx (/ (+ (* (- -1/2 y) (log y)) (+ y x)) z) (/.f64 x z)) z (neg.f64 z)))
Calls

4 calls:

4.0ms
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
Results
AccuracySegmentsBranch
50.3%3z
39.8%1(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)
45.0%3(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)
39.8%1y
Compiler

Compiled 24 to 25 computations (-4.2% saved)

regimes14.0ms (0.2%)

Memory
-12.6MiB live, 24.1MiB 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 (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (fma.f64 #s(approx (/ (+ (* (- -1/2 y) (log y)) (+ y x)) z) (/.f64 x z)) z (neg.f64 z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (*.f64 z z) (/.f64 #s(literal -1 binary64) z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal -1 binary64) z)))
Outputs
#s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (fma.f64 #s(approx (/ (+ (* (- -1/2 y) (log y)) (+ y x)) z) (/.f64 x z)) z (neg.f64 z)))
Calls

4 calls:

5.0ms
z
3.0ms
(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)
3.0ms
x
3.0ms
y
Results
AccuracySegmentsBranch
39.8%1y
39.8%1(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)
39.8%1x
39.8%1z
Compiler

Compiled 13 to 18 computations (-38.5% saved)

regimes8.0ms (0.1%)

Memory
19.8MiB live, 19.8MiB allocated
Accuracy

Total -10.5b remaining (-22.3%)

Threshold costs -10.5b (-22.3%)

Counts
2 → 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))
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
x
2.0ms
y
1.0ms
z
Results
AccuracySegmentsBranch
26.4%1x
26.4%1z
26.4%1(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)
26.4%1(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y)
26.4%1y
Compiler

Compiled 25 to 28 computations (-12% saved)

bsearch14.0ms (0.2%)

Memory
-17.5MiB live, 19.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
12.0ms
1.16075486298721e-12
6.4670112285952765e-12
Samples
6.0ms96×0valid
Compiler

Compiled 129 to 130 computations (-0.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-sub: 1.0ms (26.4% of total)
ival-log: 1.0ms (26.4% of total)
ival-add: 1.0ms (26.4% of total)
ival-mult: 1.0ms (26.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch18.0ms (0.2%)

Memory
-11.5MiB live, 24.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
13.0ms
6.319318201709639e+26
2.3356617788457445e+30
Samples
8.0ms127×0valid
0.0ms1valid
Compiler

Compiled 151 to 168 computations (-11.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-log: 2.0ms (41.1% of total)
ival-add: 1.0ms (20.6% of total)
ival-mult: 1.0ms (20.6% of total)
ival-sub: 1.0ms (20.6% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch4.0ms (0.1%)

Memory
7.0MiB live, 7.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
3.0ms
6.56458562421422e+144
8.043882076869232e+144
Samples
2.0ms32×0valid
Compiler

Compiled 45 to 52 computations (-15.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.0ms
ival-sub: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-log: 0.0ms (0% of total)
ival-add: 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
1.9MiB live, 1.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
8.048529587592216e+191
1.5609509675609287e+192
0.0ms
351.0751246479485
351.8141297200111
0.0ms
-544.9522040414033
2.7944534423509264
0.0ms
-4.3948881275223525e+128
-1.734661396128928e+122
Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch1.0ms (0%)

Memory
1.9MiB live, 1.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
8.048529587592216e+191
1.5609509675609287e+192
0.0ms
351.0751246479485
351.8141297200111
0.0ms
-544.9522040414033
2.7944534423509264
0.0ms
-4.3948881275223525e+128
-1.734661396128928e+122
Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
351.0751246479485
16172.01876130394
0.0ms
-544.9522040414033
13.74097528928197
Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
6.56458562421422e+144
8.043882076869232e+144
Compiler

Compiled 47 to 52 computations (-10.6% saved)

bsearch40.0ms (0.5%)

Memory
0.2MiB live, 42.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
26.0ms
9.36239567296979e-5
0.0020449313778247743
12.0ms
-2.883504022559734e-57
-1.0052431929113212e-58
Samples
29.0ms224×0valid
Compiler

Compiled 225 to 254 computations (-12.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-mult: 16.0ms (68.2% of total)
ival-log: 3.0ms (12.8% of total)
ival-sub: 2.0ms (8.5% of total)
ival-add: 2.0ms (8.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify30.0ms (0.4%)

Memory
21.2MiB live, 58.2MiB allocated
Algorithm
egg-herbie
Rules
44×+-commutative-binary64-+.f64
38×sub-neg-binary64-neg.f64-+.f64--.f64
28×*-commutative-binary64-*.f64
18×neg-sub0-binary64--.f64-neg.f64
18×neg-mul-1-binary64-*.f64-neg.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0104846
1136846
2168846
3187846
4197846
5199846
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 y #s(literal 3961408125713217/618970019642690137449562112 binary64)) (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) (-.f64 (+.f64 (-.f64 x #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) y) z))
(if (<=.f64 y #s(literal 102000000000000008502156197888 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 6599999999999999983427997684546366635246255814726570972547551714235031086822361990536140608374548301255283014774621135013285841833551299073802240 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 -400000000000000030069794766607283450988571625740963285393163640943106370096966081865816440439103214171306382015541010530671001600 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 -500 binary64)) #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (fma.f64 #s(approx (/ (+ (* (- -1/2 y) (log y)) (+ y x)) z) (/.f64 x z)) z (neg.f64 z))) (if (<=.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) #s(literal 703/2 binary64)) #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))) (if (<=.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) #s(literal 1000000000000000040900880208761398001286019738266296957960021713442094663491997727554362004538245197373563261847757813447631532786297905940174312186739777303375354598782943738754654264509857792 binary64)) #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (fma.f64 #s(approx (/ (+ (* (- -1/2 y) (log y)) (+ y x)) z) (/.f64 x z)) z (neg.f64 z))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal 1 binary64) x)))))))
(if (<=.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) #s(literal -400000000000000030069794766607283450988571625740963285393163640943106370096966081865816440439103214171306382015541010530671001600 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 -500 binary64)) #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (fma.f64 #s(approx (/ (+ (* (- -1/2 y) (log y)) (+ y x)) z) (/.f64 x z)) z (neg.f64 z))) (if (<=.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) #s(literal 703/2 binary64)) (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))) z) (if (<=.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) #s(literal 1000000000000000040900880208761398001286019738266296957960021713442094663491997727554362004538245197373563261847757813447631532786297905940174312186739777303375354598782943738754654264509857792 binary64)) #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (fma.f64 #s(approx (/ (+ (* (- -1/2 y) (log y)) (+ y x)) z) (/.f64 x z)) z (neg.f64 z))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal 1 binary64) x)))))))
(if (<=.f64 (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) #s(literal -500 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 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z) #s(literal 500 binary64)) #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) #s(approx (* (+ 1/2 y) (log y)) (*.f64 #s(literal 1/2 binary64) (log.f64 y)))))) #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (fma.f64 #s(approx (/ (+ (* (- -1/2 y) (log y)) (+ y x)) z) (/.f64 x z)) z (neg.f64 z)))))
(if (<=.f64 y #s(literal 6599999999999999983427997684546366635246255814726570972547551714235031086822361990536140608374548301255283014774621135013285841833551299073802240 binary64)) #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (fma.f64 #s(approx (/ (+ (* (- -1/2 y) (log y)) (+ y x)) z) (/.f64 x z)) z (neg.f64 z))) #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)))
(if (<=.f64 z #s(literal -1236792945344869/441711766194596082395824375185729628956870974218904739530401550323154944 binary64)) #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (fma.f64 #s(approx (/ (+ (* (- -1/2 y) (log y)) (+ y x)) z) (/.f64 x z)) z (neg.f64 z))) (if (<=.f64 z #s(literal 3984496719921263/36893488147419103232 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal 1 binary64) x))) #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (fma.f64 #s(approx (/ (+ (* (- -1/2 y) (log y)) (+ y x)) z) (/.f64 x z)) z (neg.f64 z)))))
#s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (fma.f64 #s(approx (/ (+ (* (- -1/2 y) (log y)) (+ y x)) z) (/.f64 x z)) z (neg.f64 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 y #s(literal 3961408125713217/618970019642690137449562112 binary64)) (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) (fma.f64 #s(literal -1/2 binary64) (log.f64 y) x)) z) (-.f64 (+.f64 (-.f64 x #s(approx (* (+ y 1/2) (log y)) (*.f64 (log.f64 y) y))) y) z))
(if (<=.f64 y #s(literal 102000000000000008502156197888 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 6599999999999999983427997684546366635246255814726570972547551714235031086822361990536140608374548301255283014774621135013285841833551299073802240 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 -400000000000000030069794766607283450988571625740963285393163640943106370096966081865816440439103214171306382015541010530671001600 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 -500 binary64)) #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (fma.f64 #s(approx (/ (+ (* (- -1/2 y) (log y)) (+ y x)) z) (/.f64 x z)) z (neg.f64 z))) (if (<=.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) #s(literal 703/2 binary64)) #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))) (if (<=.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) #s(literal 1000000000000000040900880208761398001286019738266296957960021713442094663491997727554362004538245197373563261847757813447631532786297905940174312186739777303375354598782943738754654264509857792 binary64)) #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (fma.f64 #s(approx (/ (+ (* (- -1/2 y) (log y)) (+ y x)) z) (/.f64 x z)) z (neg.f64 z))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal 1 binary64) x)))))))
(if (<=.f64 (+.f64 (-.f64 x (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y))) y) #s(literal -400000000000000030069794766607283450988571625740963285393163640943106370096966081865816440439103214171306382015541010530671001600 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 -500 binary64)) #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (fma.f64 #s(approx (/ (+ (* (- -1/2 y) (log y)) (+ y x)) z) (/.f64 x z)) z (neg.f64 z))) (if (<=.f64 (+.f64 (-.f64 x (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y))) y) #s(literal 703/2 binary64)) #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))) (if (<=.f64 (+.f64 (-.f64 x (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y))) y) #s(literal 1000000000000000040900880208761398001286019738266296957960021713442094663491997727554362004538245197373563261847757813447631532786297905940174312186739777303375354598782943738754654264509857792 binary64)) #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (fma.f64 #s(approx (/ (+ (* (- -1/2 y) (log y)) (+ y x)) z) (/.f64 x z)) z (neg.f64 z))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal 1 binary64) x)))))))
(if (<=.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) #s(literal -400000000000000030069794766607283450988571625740963285393163640943106370096966081865816440439103214171306382015541010530671001600 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 -500 binary64)) #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (fma.f64 #s(approx (/ (+ (* (- -1/2 y) (log y)) (+ y x)) z) (/.f64 x z)) z (neg.f64 z))) (if (<=.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) #s(literal 703/2 binary64)) (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))) z) (if (<=.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) #s(literal 1000000000000000040900880208761398001286019738266296957960021713442094663491997727554362004538245197373563261847757813447631532786297905940174312186739777303375354598782943738754654264509857792 binary64)) #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (fma.f64 #s(approx (/ (+ (* (- -1/2 y) (log y)) (+ y x)) z) (/.f64 x z)) z (neg.f64 z))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal 1 binary64) x)))))))
(if (<=.f64 (+.f64 (-.f64 x (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y))) y) #s(literal -400000000000000030069794766607283450988571625740963285393163640943106370096966081865816440439103214171306382015541010530671001600 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 -500 binary64)) #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (fma.f64 #s(approx (/ (+ (* (- -1/2 y) (log y)) (+ y x)) z) (/.f64 x z)) z (neg.f64 z))) (if (<=.f64 (+.f64 (-.f64 x (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y))) y) #s(literal 703/2 binary64)) (-.f64 #s(approx (+ (- x (* (+ y 1/2) (log y))) y) #s(approx (+ (* -1/2 (log y)) x) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))) z) (if (<=.f64 (+.f64 (-.f64 x (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y))) y) #s(literal 1000000000000000040900880208761398001286019738266296957960021713442094663491997727554362004538245197373563261847757813447631532786297905940174312186739777303375354598782943738754654264509857792 binary64)) #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (fma.f64 #s(approx (/ (+ (* (- -1/2 y) (log y)) (+ y x)) z) (/.f64 x z)) z (neg.f64 z))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal 1 binary64) x)))))))
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(if (<=.f64 (-.f64 (+.f64 (-.f64 x (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y))) y) z) #s(literal -500 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 (-.f64 x (*.f64 (log.f64 y) (+.f64 #s(literal 1/2 binary64) y))) y) z) #s(literal 500 binary64)) #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (-.f64 y #s(approx (+ (* (+ 1/2 y) (log y)) z) #s(approx (* (+ 1/2 y) (log y)) (*.f64 (log.f64 y) #s(literal 1/2 binary64)))))) #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (fma.f64 #s(approx (/ (+ (* (- -1/2 y) (log y)) (+ y x)) z) (/.f64 x z)) z (neg.f64 z)))))
(if (<=.f64 y #s(literal 6599999999999999983427997684546366635246255814726570972547551714235031086822361990536140608374548301255283014774621135013285841833551299073802240 binary64)) #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (fma.f64 #s(approx (/ (+ (* (- -1/2 y) (log y)) (+ y x)) z) (/.f64 x z)) z (neg.f64 z))) #s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (*.f64 (-.f64 #s(literal 1 binary64) (log.f64 y)) y)))
(if (<=.f64 z #s(literal -1236792945344869/441711766194596082395824375185729628956870974218904739530401550323154944 binary64)) #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (fma.f64 #s(approx (/ (+ (* (- -1/2 y) (log y)) (+ y x)) z) (/.f64 x z)) z (neg.f64 z))) (if (<=.f64 z #s(literal 3984496719921263/36893488147419103232 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z)))) (/.f64 #s(literal 1 binary64) x))) #s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (fma.f64 #s(approx (/ (+ (* (- -1/2 y) (log y)) (+ y x)) z) (/.f64 x z)) z (neg.f64 z)))))
#s(approx (/ 1 (/ 1 (+ (* (- -1/2 y) (log y)) (+ x (- y z))))) (fma.f64 #s(approx (/ (+ (* (- -1/2 y) (log y)) (+ y x)) z) (/.f64 x z)) z (neg.f64 z)))
#s(approx (- (+ (- x (* (+ y 1/2) (log y))) y) z) (neg.f64 z))

soundness1.1s (14.1%)

Memory
-21.9MiB live, 847.0MiB allocated
Rules
13 436×lower-fma.f64
13 436×lower-fma.f32
10 862×lower-fma.f64
10 862×lower-fma.f32
9 014×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02315867
17305376
221874944
375204942
086614659
01041
01641
17941
269941
0884338
04817855
115537228
253057108
087406799
05067688
116147178
252807000
082116597
01301412
14271270
213481167
347741136
086191053
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 748 to 370 computations (50.5% saved)

preprocess72.0ms (0.9%)

Memory
24.9MiB live, 141.3MiB allocated
Compiler

Compiled 802 to 206 computations (74.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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